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SAReasoning-250000

question stringlengths 16 86	problem stringclasses 8 values	how_to_solve stringlengths 18 82	answer stringlengths 1 20
If each item costs 11 dollars and the total cost is 275, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	25
Solve: \|-2x + -1\| = 8	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve: \|-5x + -20\| ≤ 9	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-5 ≤ x ≤ -3
Solve for x: 3x + -30 = -66	Solve the linear equation.	Subtract b from both sides, then divide by a.	-12
Solve for x: 2(x + -13) = -28	Solve a two-step equation.	Divide both sides by a, then subtract b.	-1
Solve: \|1x + 14\| ≤ 2	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-16 ≤ x ≤ -12
Solve: -10x + -17 < 153	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x < -17
Solve for x: 1(x + -15) = 0	Solve a two-step equation.	Divide both sides by a, then subtract b.	15
Solve: \|1x + 7\| = 0	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	-7
Solve for x: 6x + -27 = -111	Solve the linear equation.	Subtract b from both sides, then divide by a.	-14
Solve for x: -7x + -30 = -93	Solve the linear equation.	Subtract b from both sides, then divide by a.	9
Solve for x: -12x + -2 = 202	Solve the linear equation.	Subtract b from both sides, then divide by a.	-17
Simplify: 0x + -8x + 8y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-8x + 8y
If each item costs 17 dollars and the total cost is 425, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	25
Simplify: -6x + -3x + -4y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-9x - 4y
Solve for x: 8(x + -9) = -64	Solve a two-step equation.	Divide both sides by a, then subtract b.	1
Simplify: -6x + 8x + -8y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	2x - 8y
Solve for x: 5x + 29 = 99	Solve the linear equation.	Subtract b from both sides, then divide by a.	14
Solve for x: -5x + 30 = -35	Solve the linear equation.	Subtract b from both sides, then divide by a.	13
Solve for x: -7(x + -8) = 77	Solve a two-step equation.	Divide both sides by a, then subtract b.	-3
Solve: 6x + 6 ≥ 42	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≥ 6
What is 59% of 0?	Compute the percent value (integer-safe).	Compute 59/100 × 0.	0
Solve: -2x + -4 ≤ 12	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≤ -8
Simplify: 6x + -8x + -3y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-2x - 3y
Solve: \|7x + -17\| ≤ 13	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	1 ≤ x ≤ 4
Solve: \|3x + 7\| ≤ 2	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-3 ≤ x ≤ -2
What is 111% of 800?	Compute the percent value (integer-safe).	Compute 111/100 × 800.	888
Solve for x: -8(x + -11) = 144	Solve a two-step equation.	Divide both sides by a, then subtract b.	-7
What is -44% of 150?	Compute the percent value (integer-safe).	Compute -44/100 × 150.	-66
Solve: \|-1x + 1\| = 17	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	-16, 18
What is 119% of 300?	Compute the percent value (integer-safe).	Compute 119/100 × 300.	357
Simplify: 8x + -1x + 0y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	7x
Solve: -9x + -8 ≤ -152	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≤ 16
What is 119% of 900?	Compute the percent value (integer-safe).	Compute 119/100 × 900.	1071
Solve for x: -11x + 21 = 197	Solve the linear equation.	Subtract b from both sides, then divide by a.	-16
Solve: \|-3x + 1\| = 2	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	1
Solve: \|1x + 10\| = 12	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	2, -22
Simplify: -2x + 2x + 6y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	6y
Solve: \|-4x + -10\| ≤ 15	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-6 ≤ x ≤ 1
Solve for x: -5(x + -14) = 90	Solve a two-step equation.	Divide both sides by a, then subtract b.	-4
If each item costs -5 dollars and the total cost is 55, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-11
What is -36% of 225?	Compute the percent value (integer-safe).	Compute -36/100 × 225.	-81
Simplify: 2x + -3x + 0y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-1x
Simplify: -4x + 6x + 6y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	2x + 6y
Solve: \|6x + -6\| = 13	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Simplify: 6x + -4x + -7y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	2x - 7y
Solve for x: -4(x + -1) = -16	Solve a two-step equation.	Divide both sides by a, then subtract b.	5
Solve for x: -3(x + -9) = 51	Solve a two-step equation.	Divide both sides by a, then subtract b.	-8
Solve: \|1x + 16\| ≤ 18	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-34 ≤ x ≤ 2
Solve for x: -5(x + 6) = -70	Solve a two-step equation.	Divide both sides by a, then subtract b.	8
If each item costs 11 dollars and the total cost is 110, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	10
Solve for x: -1x + -11 = -2	Solve the linear equation.	Subtract b from both sides, then divide by a.	-9
Solve: \|-8x + -18\| ≤ 9	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-3 ≤ x ≤ -2
Solve for x: -7(x + 7) = -119	Solve a two-step equation.	Divide both sides by a, then subtract b.	10
Simplify: -7x + 5x + -1y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-2x - 1y
Solve: \|-2x + -9\| ≤ 11	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-10 ≤ x ≤ 1
Simplify: 6x + 0x + -6y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	6x - 6y
Solve for x: 7(x + 0) = -7	Solve a two-step equation.	Divide both sides by a, then subtract b.	-1
Solve: -3x + -19 < -70	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x < 17
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 for x: 11x + 8 = -124	Solve the linear equation.	Subtract b from both sides, then divide by a.	-12
What is -10% of 80?	Compute the percent value (integer-safe).	Compute -10/100 × 80.	-8
If each item costs 19 dollars and the total cost is 114, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	6
Solve: \|-6x + 1\| ≤ 18	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-2 ≤ x ≤ 3
What is -30% of 100?	Compute the percent value (integer-safe).	Compute -30/100 × 100.	-30
If each item costs -2 dollars and the total cost is -26, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	13
If each item costs 19 dollars and the total cost is 513, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	27
Solve for x: -4(x + 12) = -100	Solve a two-step equation.	Divide both sides by a, then subtract b.	13
Solve: 7x + -8 > -99	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x > -13
If each item costs -4 dollars and the total cost is -32, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	8
Solve: 4x + 0 < -32	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x < -8
If each item costs 7 dollars and the total cost is -126, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-18
Solve: \|-1x + -15\| = 17	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	-32, 2
Simplify: -2x + -5x + 1y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-7x + 1y
Simplify: 4x + 3x + -2y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	7x - 2y
What is 72% of 225?	Compute the percent value (integer-safe).	Compute 72/100 × 225.	162
Simplify: 8x + 8x + -5y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	16x - 5y
What is 72% of 150?	Compute the percent value (integer-safe).	Compute 72/100 × 150.	108
Solve for x: -5(x + -1) = 45	Solve a two-step equation.	Divide both sides by a, then subtract b.	-8
Solve: \|-7x + -6\| = 18	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve for x: -4x + 27 = -33	Solve the linear equation.	Subtract b from both sides, then divide by a.	15
If each item costs 19 dollars and the total cost is -380, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-20
Solve: \|-6x + -4\| ≤ 12	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-2 ≤ x ≤ 1
Solve for x: -7x + 26 = -37	Solve the linear equation.	Subtract b from both sides, then divide by a.	9
Simplify: -8x + 0x + -7y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-8x - 7y
What is -6% of 450?	Compute the percent value (integer-safe).	Compute -6/100 × 450.	-27
If each item costs -5 dollars and the total cost is -70, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	14
Simplify: 3x + -8x + 4y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-5x + 4y
Solve: \|3x + -16\| ≤ 17	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	0 ≤ x ≤ 11
Simplify: 1x + 7x + -6y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	8x - 6y
Solve for x: 5(x + -4) = -45	Solve a two-step equation.	Divide both sides by a, then subtract b.	-5
Solve: \|7x + -9\| ≤ 18	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-1 ≤ x ≤ 3
If each item costs 5 dollars and the total cost is 15, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	3
Solve: \|1x + 3\| = 14	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	11, -17
Solve: \|1x + 7\| ≤ 19	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-26 ≤ x ≤ 12
Simplify: -3x + 5x + -4y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	2x - 4y
Solve: \|-6x + -14\| = 19	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve for x: 7x + -9 = -121	Solve the linear equation.	Subtract b from both sides, then divide by a.	-16
Solve for x: -2x + -4 = 12	Solve the linear equation.	Subtract b from both sides, then divide by a.	-8
What is 132% of 125?	Compute the percent value (integer-safe).	Compute 132/100 × 125.	165