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SAReasoning-50000

question stringlengths 16 86	problem stringclasses 8 values	how_to_solve stringlengths 18 82	answer stringlengths 1 20
What is 128% of 100?	Compute the percent value (integer-safe).	Compute 128/100 × 100.	128
Solve: \|3x + -12\| = 5	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Simplify: -4x + -6x + 0y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-10x
If each item costs 16 dollars and the total cost is 144, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	9
Solve for x: 8x + 29 = 157	Solve the linear equation.	Subtract b from both sides, then divide by a.	16
If each item costs -8 dollars and the total cost is -224, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	28
If each item costs -2 dollars and the total cost is -30, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	15
Solve: 10x + -6 > -106	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x > -10
Simplify: 8x + -8x + 8y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	8y
Solve for x: 1(x + 9) = 8	Solve a two-step equation.	Divide both sides by a, then subtract b.	-1
If each item costs 19 dollars and the total cost is 152, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	8
Solve for x: -6(x + -1) = 42	Solve a two-step equation.	Divide both sides by a, then subtract b.	-6
Solve for x: 3(x + 11) = 18	Solve a two-step equation.	Divide both sides by a, then subtract b.	-5
Simplify: -7x + 5x + -7y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-2x - 7y
Solve: \|4x + 10\| = 12	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve for x: 6(x + 3) = 0	Solve a two-step equation.	Divide both sides by a, then subtract b.	-3
What is 134% of 400?	Compute the percent value (integer-safe).	Compute 134/100 × 400.	536
Solve: 3x + -8 > 34	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x > 14
Solve: 4x + -19 > 49	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x > 17
Solve for x: 7(x + -11) = -14	Solve a two-step equation.	Divide both sides by a, then subtract b.	9
Solve: \|4x + 10\| = 11	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
What is 99% of 1000?	Compute the percent value (integer-safe).	Compute 99/100 × 1000.	990
Solve: \|-7x + 2\| ≤ 10	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-1 ≤ x ≤ 1
Simplify: -7x + 1x + 1y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-6x + 1y
Solve: \|-1x + -15\| ≤ 14	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-29 ≤ x ≤ -1
Solve for x: -8x + -28 = -92	Solve the linear equation.	Subtract b from both sides, then divide by a.	8
What is 24% of 100?	Compute the percent value (integer-safe).	Compute 24/100 × 100.	24
Solve for x: 3(x + -4) = -24	Solve a two-step equation.	Divide both sides by a, then subtract b.	-4
Solve for x: -8(x + 1) = -16	Solve a two-step equation.	Divide both sides by a, then subtract b.	1
Solve: \|-8x + -14\| ≤ 5	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-2 ≤ x ≤ -2
Solve: \|7x + -1\| = 14	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve for x: 8(x + 1) = 80	Solve a two-step equation.	Divide both sides by a, then subtract b.	9
Solve: -1x + -16 < -24	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x < 8
If each item costs 13 dollars and the total cost is 26, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	2
Solve for x: -8(x + 5) = 32	Solve a two-step equation.	Divide both sides by a, then subtract b.	-9
Solve: -9x + -20 ≥ -38	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≥ 2
Solve for x: -7(x + -14) = 182	Solve a two-step equation.	Divide both sides by a, then subtract b.	-12
Solve: \|-2x + 13\| = 20	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve for x: -9x + -16 = 83	Solve the linear equation.	Subtract b from both sides, then divide by a.	-11
Solve for x: 5x + 11 = -14	Solve the linear equation.	Subtract b from both sides, then divide by a.	-5
Solve: \|-3x + 10\| = 4	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	2
Solve for x: -8(x + -10) = 120	Solve a two-step equation.	Divide both sides by a, then subtract b.	-5
Solve: \|3x + 4\| ≤ 0	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	no integer solutions
What is -12% of 100?	Compute the percent value (integer-safe).	Compute -12/100 × 100.	-12
Solve: \|2x + -15\| = 4	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve for x: -2(x + 10) = -10	Solve a two-step equation.	Divide both sides by a, then subtract b.	-5
Solve: -8x + 12 < 100	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x < -11
Solve: \|-1x + -6\| = 12	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	-18, 6
Solve: -5x + 2 < 97	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x < -19
If each item costs -9 dollars and the total cost is 162, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-18
Simplify: -2x + 5x + 7y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	3x + 7y
If each item costs 0 dollars and the total cost is 0, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-10
Solve: \|7x + -2\| = 13	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve: -3x + 20 ≥ 14	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≥ 2
Solve: -5x + -20 < 45	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x < -13
Solve: 7x + 7 ≤ -133	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≤ -20
If each item costs 3 dollars and the total cost is -18, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-6
Solve: 6x + -9 < 105	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x < 19
What is -35% of 100?	Compute the percent value (integer-safe).	Compute -35/100 × 100.	-35
Simplify: 2x + 7x + -8y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	9x - 8y
Solve: \|2x + 11\| = 12	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve: \|-1x + 0\| = 20	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	-20, 20
Simplify: -8x + 5x + 5y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-3x + 5y
Simplify: 6x + -3x + 1y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	3x + 1y
Simplify: -1x + 2x + -4y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	1x - 4y
Solve: 4x + 3 < 71	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x < 17
Solve: \|2x + -13\| ≤ 9	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	2 ≤ x ≤ 11
Solve: \|-8x + 11\| = 14	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve: 10x + -20 < -220	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x < -20
Simplify: 8x + -7x + -4y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	1x - 4y
If each item costs 6 dollars and the total cost is -72, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-12
Solve: \|6x + -13\| = 10	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
If each item costs 1 dollars and the total cost is 29, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	29
If each item costs 19 dollars and the total cost is 361, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	19
Solve: \|-4x + -8\| ≤ 18	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-6 ≤ x ≤ 2
Solve for x: 3x + 17 = -1	Solve the linear equation.	Subtract b from both sides, then divide by a.	-6
Solve: 7x + 14 > 49	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x > 5
Simplify: -6x + -8x + 8y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-14x + 8y
What is 42% of 50?	Compute the percent value (integer-safe).	Compute 42/100 × 50.	21
Solve: \|-6x + -1\| ≤ 13	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-2 ≤ x ≤ 2
Simplify: -8x + -1x + 7y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-9x + 7y
Solve: \|-7x + -15\| = 12	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve: \|1x + -13\| = 3	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	16, 10
Solve: \|-2x + -19\| ≤ 15	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-17 ≤ x ≤ -2
Solve for x: -7(x + -4) = 14	Solve a two-step equation.	Divide both sides by a, then subtract b.	2
Solve for x: -4(x + 5) = -52	Solve a two-step equation.	Divide both sides by a, then subtract b.	8
If each item costs -9 dollars and the total cost is 54, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-6
Solve: \|4x + -6\| = 6	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	3, 0
Solve: \|-2x + 3\| = 9	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	-3, 6
Solve: \|4x + -8\| ≤ 19	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-2 ≤ x ≤ 6
What is 22% of 400?	Compute the percent value (integer-safe).	Compute 22/100 × 400.	88
What is 150% of 8?	Compute the percent value (integer-safe).	Compute 150/100 × 8.	12
Solve for x: 9x + -4 = 176	Solve the linear equation.	Subtract b from both sides, then divide by a.	20
If each item costs 20 dollars and the total cost is 560, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	28
Solve: \|2x + -13\| = 4	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve: 4x + 7 > 15	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x > 2
Solve: \|6x + 9\| = 3	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	-1, -2
Solve: -7x + 11 ≥ 39	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≥ -4
Solve: \|5x + -9\| ≤ 7	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	1 ≤ x ≤ 3
Solve: \|4x + 2\| = 19	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions