question
stringlengths
12
86
problem
stringclasses
10 values
how_to_solve
stringlengths
12
82
answer
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1
7
Solve for x: 8(x + 8) = 112
Solve a two-step equation.
Divide both sides by a, then subtract b.
6
What is 144 ÷ -8?
Divide evenly.
Divide 144 by -8.
-18
What is 257 - 284?
Subtract the second number from the first.
Subtract 284 from 257.
-27
What is -21 × -25?
Multiply the numbers.
Multiply -21 by -25.
525
What is -108 ÷ -18?
Divide evenly.
Divide -108 by -18.
6
What is -135 ÷ 27?
Divide evenly.
Divide -135 by 27.
-5
If each item costs 9 dollars and the total cost is -90, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-10
Solve for x: 8x + -22 = 98
Solve the linear equation.
Subtract b from both sides, then divide by a.
15
What is 32 × -37?
Multiply the numbers.
Multiply 32 by -37.
-1184
Solve for x: -3x + 27 = 54
Solve the linear equation.
Subtract b from both sides, then divide by a.
-9
If each item costs -1 dollars and the total cost is -27, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
27
What is -17 × 44?
Multiply the numbers.
Multiply -17 by 44.
-748
Solve for x: -9x + 5 = 86
Solve the linear equation.
Subtract b from both sides, then divide by a.
-9
What is 228 ÷ -19?
Divide evenly.
Divide 228 by -19.
-12
What is -57 ÷ 19?
Divide evenly.
Divide -57 by 19.
-3
Solve for x: 3(x + -3) = -39
Solve a two-step equation.
Divide both sides by a, then subtract b.
-10
What is 58 × -27?
Multiply the numbers.
Multiply 58 by -27.
-1566
If each item costs 6 dollars and the total cost is 96, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
16
If each item costs -6 dollars and the total cost is 84, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-14
Solve: -2x + -11 ≤ -23
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≤ 6
If each item costs -6 dollars and the total cost is -144, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
24
Solve for x: 10x + -6 = 34
Solve the linear equation.
Subtract b from both sides, then divide by a.
4
What is -174 + 63?
Add the two numbers.
Add -174 and 63.
-111
What is -84 - -78?
Subtract the second number from the first.
Subtract -78 from -84.
-6
What is -193 - -125?
Subtract the second number from the first.
Subtract -125 from -193.
-68
What is -4^3?
Evaluate the integer exponent.
Multiply -4 by itself 3 times (0th power = 1).
-64
What is 107 - 59?
Subtract the second number from the first.
Subtract 59 from 107.
48
What is -175 ÷ -25?
Divide evenly.
Divide -175 by -25.
7
Solve for x: -3(x + -3) = 30
Solve a two-step equation.
Divide both sides by a, then subtract b.
-7
Simplify 44/11
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
4
What is 21 × -43?
Multiply the numbers.
Multiply 21 by -43.
-903
What is 4^0?
Evaluate the integer exponent.
Multiply 4 by itself 0 times (0th power = 1).
1
Solve for x: 10x + -27 = -107
Solve the linear equation.
Subtract b from both sides, then divide by a.
-8
What is -59 × 59?
Multiply the numbers.
Multiply -59 by 59.
-3481
What is 1 × -4?
Multiply the numbers.
Multiply 1 by -4.
-4
What is -189 ÷ -27?
Divide evenly.
Divide -189 by -27.
7
Simplify -99/9
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-11
What is -289 - -5?
Subtract the second number from the first.
Subtract -5 from -289.
-284
What is -2 × 52?
Multiply the numbers.
Multiply -2 by 52.
-104
What is 33 × 30?
Multiply the numbers.
Multiply 33 by 30.
990
Simplify -26/13
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-2
Simplify -81/9
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-9
What is 21 × 3?
Multiply the numbers.
Multiply 21 by 3.
63
What is 63 ÷ -9?
Divide evenly.
Divide 63 by -9.
-7
Solve for x: -8(x + 5) = -40
Solve a two-step equation.
Divide both sides by a, then subtract b.
0
Solve: 5x + 10 > -20
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x > -6
What is 6^0?
Evaluate the integer exponent.
Multiply 6 by itself 0 times (0th power = 1).
1
What is -91 - -210?
Subtract the second number from the first.
Subtract -210 from -91.
119
Simplify 0/14
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
0
What is -28 × -38?
Multiply the numbers.
Multiply -28 by -38.
1064
What is -13 × -8?
Multiply the numbers.
Multiply -13 by -8.
104
What is 1^3?
Evaluate the integer exponent.
Multiply 1 by itself 3 times (0th power = 1).
1
Solve: -7x + -12 > 51
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x > -9
Simplify -9/3
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-3
What is -109 + -219?
Add the two numbers.
Add -109 and -219.
-328
Solve for x: 8x + -28 = -148
Solve the linear equation.
Subtract b from both sides, then divide by a.
-15
What is 225 + -15?
Add the two numbers.
Add 225 and -15.
210
What is -279 - -116?
Subtract the second number from the first.
Subtract -116 from -279.
-163
What is -7^4?
Evaluate the integer exponent.
Multiply -7 by itself 4 times (0th power = 1).
2401
Solve for x: -2(x + 9) = 6
Solve a two-step equation.
Divide both sides by a, then subtract b.
-12
Solve for x: 3x + -16 = 41
Solve the linear equation.
Subtract b from both sides, then divide by a.
19
Solve for x: -5x + 26 = 91
Solve the linear equation.
Subtract b from both sides, then divide by a.
-13
What is 142 - -41?
Subtract the second number from the first.
Subtract -41 from 142.
183
What is 1^4?
Evaluate the integer exponent.
Multiply 1 by itself 4 times (0th power = 1).
1
If each item costs 10 dollars and the total cost is 100, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
10
Solve for x: 1x + 11 = -5
Solve the linear equation.
Subtract b from both sides, then divide by a.
-16
Solve for x: -1x + 23 = 13
Solve the linear equation.
Subtract b from both sides, then divide by a.
10
Solve for x: -8(x + 11) = -136
Solve a two-step equation.
Divide both sides by a, then subtract b.
6
Simplify 2/2
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
1
What is 276 + -215?
Add the two numbers.
Add 276 and -215.
61
What is 222 + -11?
Add the two numbers.
Add 222 and -11.
211
What is 7^1?
Evaluate the integer exponent.
Multiply 7 by itself 1 times (0th power = 1).
7
What is 291 - 286?
Subtract the second number from the first.
Subtract 286 from 291.
5
Solve for x: -1(x + 12) = -1
Solve a two-step equation.
Divide both sides by a, then subtract b.
-11
What is 11 + -234?
Add the two numbers.
Add 11 and -234.
-223
What is 45 × -59?
Multiply the numbers.
Multiply 45 by -59.
-2655
Solve for x: 2x + -26 = -20
Solve the linear equation.
Subtract b from both sides, then divide by a.
3
Simplify -98/14
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-7
What is 4^5?
Evaluate the integer exponent.
Multiply 4 by itself 5 times (0th power = 1).
1024
What is -5^2?
Evaluate the integer exponent.
Multiply -5 by itself 2 times (0th power = 1).
25
Solve for x: 8x + 24 = 40
Solve the linear equation.
Subtract b from both sides, then divide by a.
2
What is -128 ÷ -8?
Divide evenly.
Divide -128 by -8.
16
Solve for x: 3(x + -9) = -21
Solve a two-step equation.
Divide both sides by a, then subtract b.
2
What is -169 - -110?
Subtract the second number from the first.
Subtract -110 from -169.
-59
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
What is 180 ÷ 15?
Divide evenly.
Divide 180 by 15.
12
If each item costs -3 dollars and the total cost is 60, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-20
What is 18 - -275?
Subtract the second number from the first.
Subtract -275 from 18.
293
Solve for x: -3(x + -4) = 30
Solve a two-step equation.
Divide both sides by a, then subtract b.
-6
What is -4 × 34?
Multiply the numbers.
Multiply -4 by 34.
-136
Solve for x: 4(x + 12) = 4
Solve a two-step equation.
Divide both sides by a, then subtract b.
-11
Simplify 8/2
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
4
What is -114 + 62?
Add the two numbers.
Add -114 and 62.
-52
What is 5^1?
Evaluate the integer exponent.
Multiply 5 by itself 1 times (0th power = 1).
5
What is 32 - 202?
Subtract the second number from the first.
Subtract 202 from 32.
-170
What is 112 - 114?
Subtract the second number from the first.
Subtract 114 from 112.
-2
If each item costs 19 dollars and the total cost is 19, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
1
If each item costs 6 dollars and the total cost is 114, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
19
Solve for x: -5(x + 10) = -90
Solve a two-step equation.
Divide both sides by a, then subtract b.
8
What is 378 ÷ -21?
Divide evenly.
Divide 378 by -21.
-18