question
stringlengths
12
86
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stringclasses
10 values
how_to_solve
stringlengths
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1
7
Solve for x: 6(x + 7) = 120
Solve a two-step equation.
Divide both sides by a, then subtract b.
13
If each item costs 6 dollars and the total cost is 12, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
2
What is 4 × -8?
Multiply the numbers.
Multiply 4 by -8.
-32
What is -42 ÷ -6?
Divide evenly.
Divide -42 by -6.
7
What is 408 ÷ -24?
Divide evenly.
Divide 408 by -24.
-17
If each item costs 14 dollars and the total cost is 238, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
17
If each item costs -7 dollars and the total cost is 7, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-1
What is 21 ÷ 3?
Divide evenly.
Divide 21 by 3.
7
What is 225 ÷ -15?
Divide evenly.
Divide 225 by -15.
-15
What is -8 - -163?
Subtract the second number from the first.
Subtract -163 from -8.
155
What is 24 ÷ 24?
Divide evenly.
Divide 24 by 24.
1
What is -209 ÷ 11?
Divide evenly.
Divide -209 by 11.
-19
What is 293 - 216?
Subtract the second number from the first.
Subtract 216 from 293.
77
Solve: 9x + -13 < 122
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x < 15
What is -8^0?
Evaluate the integer exponent.
Multiply -8 by itself 0 times (0th power = 1).
1
What is 101 - 176?
Subtract the second number from the first.
Subtract 176 from 101.
-75
If each item costs -3 dollars and the total cost is -84, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
28
What is 51 + 67?
Add the two numbers.
Add 51 and 67.
118
Simplify -4/4
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-1
What is -2^4?
Evaluate the integer exponent.
Multiply -2 by itself 4 times (0th power = 1).
16
What is -107 + -192?
Add the two numbers.
Add -107 and -192.
-299
Solve: -10x + 17 < -153
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x < 17
If each item costs 11 dollars and the total cost is -198, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-18
Solve: 9x + 4 ≤ -5
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≤ -1
What is 75 ÷ 5?
Divide evenly.
Divide 75 by 5.
15
What is 442 ÷ 26?
Divide evenly.
Divide 442 by 26.
17
If each item costs 20 dollars and the total cost is -400, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-20
What is 207 + -142?
Add the two numbers.
Add 207 and -142.
65
What is 8^1?
Evaluate the integer exponent.
Multiply 8 by itself 1 times (0th power = 1).
8
What is -6^2?
Evaluate the integer exponent.
Multiply -6 by itself 2 times (0th power = 1).
36
What is 44 × -13?
Multiply the numbers.
Multiply 44 by -13.
-572
What is -7^1?
Evaluate the integer exponent.
Multiply -7 by itself 1 times (0th power = 1).
-7
If each item costs 14 dollars and the total cost is 112, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
8
What is -33 - -253?
Subtract the second number from the first.
Subtract -253 from -33.
220
Solve for x: -2(x + 6) = 18
Solve a two-step equation.
Divide both sides by a, then subtract b.
-15
Solve for x: -12x + 16 = 76
Solve the linear equation.
Subtract b from both sides, then divide by a.
-5
What is 292 - -202?
Subtract the second number from the first.
Subtract -202 from 292.
494
Solve: -10x + 14 ≥ 194
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≥ -18
Solve for x: -8(x + -1) = -16
Solve a two-step equation.
Divide both sides by a, then subtract b.
3
What is 145 + -149?
Add the two numbers.
Add 145 and -149.
-4
What is 5^1?
Evaluate the integer exponent.
Multiply 5 by itself 1 times (0th power = 1).
5
If each item costs 12 dollars and the total cost is 132, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
11
What is 234 + 225?
Add the two numbers.
Add 234 and 225.
459
Simplify -56/14
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-4
What is 6^0?
Evaluate the integer exponent.
Multiply 6 by itself 0 times (0th power = 1).
1
Simplify 6/6
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
1
What is -437 ÷ -23?
Divide evenly.
Divide -437 by -23.
19
Simplify -100/10
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-10
What is -54 × 28?
Multiply the numbers.
Multiply -54 by 28.
-1512
Simplify 16/2
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
8
What is 10 × -57?
Multiply the numbers.
Multiply 10 by -57.
-570
Solve for x: -4(x + 14) = -96
Solve a two-step equation.
Divide both sides by a, then subtract b.
10
What is -286 ÷ -26?
Divide evenly.
Divide -286 by -26.
11
What is 37 × 13?
Multiply the numbers.
Multiply 37 by 13.
481
What is 6^2?
Evaluate the integer exponent.
Multiply 6 by itself 2 times (0th power = 1).
36
What is -7^1?
Evaluate the integer exponent.
Multiply -7 by itself 1 times (0th power = 1).
-7
Solve: 8x + -7 > -135
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x > -16
Solve for x: -5x + -18 = 52
Solve the linear equation.
Subtract b from both sides, then divide by a.
-14
Solve for x: -9x + 21 = -60
Solve the linear equation.
Subtract b from both sides, then divide by a.
9
Simplify 35/5
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
7
If each item costs 20 dollars and the total cost is -100, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-5
What is -40 × 56?
Multiply the numbers.
Multiply -40 by 56.
-2240
Solve: -6x + -2 < -80
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x < 13
Solve for x: -1(x + 13) = -27
Solve a two-step equation.
Divide both sides by a, then subtract b.
14
If each item costs 15 dollars and the total cost is -90, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-6
What is -31 × 51?
Multiply the numbers.
Multiply -31 by 51.
-1581
Solve: 8x + 17 < -63
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x < -10
Solve for x: 6(x + -8) = -18
Solve a two-step equation.
Divide both sides by a, then subtract b.
5
What is -76 ÷ 4?
Divide evenly.
Divide -76 by 4.
-19
Solve for x: -3x + 4 = 49
Solve the linear equation.
Subtract b from both sides, then divide by a.
-15
What is 37 - 118?
Subtract the second number from the first.
Subtract 118 from 37.
-81
Solve for x: -1(x + 5) = -9
Solve a two-step equation.
Divide both sides by a, then subtract b.
4
What is 6^0?
Evaluate the integer exponent.
Multiply 6 by itself 0 times (0th power = 1).
1
If each item costs 19 dollars and the total cost is -133, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-7
What is -1^1?
Evaluate the integer exponent.
Multiply -1 by itself 1 times (0th power = 1).
-1
Solve for x: 4(x + 3) = 52
Solve a two-step equation.
Divide both sides by a, then subtract b.
10
What is -109 - -236?
Subtract the second number from the first.
Subtract -236 from -109.
127
Solve: 7x + -17 < -10
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x < 1
Solve for x: 5x + 6 = 16
Solve the linear equation.
Subtract b from both sides, then divide by a.
2
Simplify -72/9
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-8
Solve for x: 8(x + 3) = -48
Solve a two-step equation.
Divide both sides by a, then subtract b.
-9
Solve for x: -3(x + -5) = 3
Solve a two-step equation.
Divide both sides by a, then subtract b.
4
If each item costs -7 dollars and the total cost is 0, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
0
Solve: 8x + -20 < 44
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x < 8
If each item costs 17 dollars and the total cost is -153, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-9
What is 5^1?
Evaluate the integer exponent.
Multiply 5 by itself 1 times (0th power = 1).
5
Solve: 1x + 2 ≥ 5
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≥ 3
What is -1^0?
Evaluate the integer exponent.
Multiply -1 by itself 0 times (0th power = 1).
1
Solve for x: 4(x + -4) = -64
Solve a two-step equation.
Divide both sides by a, then subtract b.
-12
What is -35 × -30?
Multiply the numbers.
Multiply -35 by -30.
1050
If each item costs 16 dollars and the total cost is -160, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-10
What is 14 × 59?
Multiply the numbers.
Multiply 14 by 59.
826
What is -46 × -17?
Multiply the numbers.
Multiply -46 by -17.
782
Solve for x: 5(x + 3) = 30
Solve a two-step equation.
Divide both sides by a, then subtract b.
3
If each item costs 11 dollars and the total cost is -154, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-14
If each item costs -7 dollars and the total cost is -203, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
29
Solve: 6x + -18 ≥ -102
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≥ -14
If each item costs 19 dollars and the total cost is -285, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-15
Simplify 42/6
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
7
Solve: -8x + -12 ≤ -52
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≤ 5