question
stringlengths 12
86
| problem
stringclasses 10
values | how_to_solve
stringlengths 12
82
| answer
stringlengths 1
7
|
|---|---|---|---|
Solve for x: 6x + -26 = 16
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
7
|
What is 7^4?
|
Evaluate the integer exponent.
|
Multiply 7 by itself 4 times (0th power = 1).
|
2401
|
If each item costs 12 dollars and the total cost is -180, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-15
|
Solve: 3x + 8 > 20
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > 4
|
What is 15 × -27?
|
Multiply the numbers.
|
Multiply 15 by -27.
|
-405
|
Solve for x: 7x + -20 = -160
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-20
|
Simplify 98/14
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
7
|
What is 468 ÷ 26?
|
Divide evenly.
|
Divide 468 by 26.
|
18
|
Solve for x: 7(x + -2) = 28
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
6
|
What is -62 + 223?
|
Add the two numbers.
|
Add -62 and 223.
|
161
|
If each item costs 8 dollars and the total cost is -152, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-19
|
Solve for x: 4(x + -10) = -20
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
5
|
What is 392 ÷ 28?
|
Divide evenly.
|
Divide 392 by 28.
|
14
|
What is -6^3?
|
Evaluate the integer exponent.
|
Multiply -6 by itself 3 times (0th power = 1).
|
-216
|
What is 288 ÷ -24?
|
Divide evenly.
|
Divide 288 by -24.
|
-12
|
What is -13 × -34?
|
Multiply the numbers.
|
Multiply -13 by -34.
|
442
|
Solve for x: -10x + 17 = 147
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-13
|
Solve for x: -8(x + 2) = 96
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-14
|
What is 269 + 33?
|
Add the two numbers.
|
Add 269 and 33.
|
302
|
Solve: -7x + -8 > -8
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > 0
|
What is -8^5?
|
Evaluate the integer exponent.
|
Multiply -8 by itself 5 times (0th power = 1).
|
-32768
|
Solve for x: 8x + 29 = 61
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
4
|
Solve for x: 6x + -3 = -63
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-10
|
Solve for x: -9x + -27 = 36
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-7
|
If each item costs 16 dollars and the total cost is -16, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-1
|
Solve: 10x + -15 ≤ -185
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ -17
|
What is -7 × 24?
|
Multiply the numbers.
|
Multiply -7 by 24.
|
-168
|
Simplify 72/12
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
6
|
Solve for x: -12x + -21 = 63
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-7
|
Solve: 6x + 11 ≤ -37
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ -8
|
What is 7^5?
|
Evaluate the integer exponent.
|
Multiply 7 by itself 5 times (0th power = 1).
|
16807
|
What is 2^2?
|
Evaluate the integer exponent.
|
Multiply 2 by itself 2 times (0th power = 1).
|
4
|
Solve for x: -3(x + 11) = -21
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-4
|
Solve for x: 2(x + 10) = 24
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
2
|
Solve for x: -4(x + -14) = 100
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-11
|
If each item costs 20 dollars and the total cost is 460, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
23
|
What is -257 - 190?
|
Subtract the second number from the first.
|
Subtract 190 from -257.
|
-447
|
What is -128 - -181?
|
Subtract the second number from the first.
|
Subtract -181 from -128.
|
53
|
Simplify -55/5
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-11
|
What is -4^5?
|
Evaluate the integer exponent.
|
Multiply -4 by itself 5 times (0th power = 1).
|
-1024
|
What is 392 ÷ 28?
|
Divide evenly.
|
Divide 392 by 28.
|
14
|
Simplify 32/8
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
4
|
Simplify -39/13
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-3
|
Solve: -6x + -3 < 63
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < -11
|
What is 42 × 34?
|
Multiply the numbers.
|
Multiply 42 by 34.
|
1428
|
What is -156 - -21?
|
Subtract the second number from the first.
|
Subtract -21 from -156.
|
-135
|
Solve for x: 8(x + -1) = 64
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
9
|
What is 174 - -206?
|
Subtract the second number from the first.
|
Subtract -206 from 174.
|
380
|
Solve for x: 5(x + -13) = 0
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
13
|
Solve for x: -3x + 25 = 55
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-10
|
If each item costs 14 dollars and the total cost is 98, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
7
|
What is 64 ÷ 16?
|
Divide evenly.
|
Divide 64 by 16.
|
4
|
Simplify -24/2
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-12
|
What is 224 + 164?
|
Add the two numbers.
|
Add 224 and 164.
|
388
|
What is -262 - 67?
|
Subtract the second number from the first.
|
Subtract 67 from -262.
|
-329
|
Simplify -156/13
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-12
|
What is 8^4?
|
Evaluate the integer exponent.
|
Multiply 8 by itself 4 times (0th power = 1).
|
4096
|
Solve for x: 6(x + 13) = -6
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-14
|
Solve for x: -2x + -6 = 30
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-18
|
Solve: -1x + 6 > 14
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -8
|
What is 1^3?
|
Evaluate the integer exponent.
|
Multiply 1 by itself 3 times (0th power = 1).
|
1
|
Simplify 64/8
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
8
|
Solve for x: 10x + 27 = -133
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-16
|
If each item costs 19 dollars and the total cost is 57, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
3
|
If each item costs 18 dollars and the total cost is -360, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-20
|
What is -494 ÷ -26?
|
Divide evenly.
|
Divide -494 by -26.
|
19
|
Simplify -32/8
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-4
|
If each item costs -9 dollars and the total cost is 81, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-9
|
Solve for x: 11x + 23 = 23
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
0
|
What is -198 ÷ -22?
|
Divide evenly.
|
Divide -198 by -22.
|
9
|
What is 69 - 10?
|
Subtract the second number from the first.
|
Subtract 10 from 69.
|
59
|
What is 352 ÷ 22?
|
Divide evenly.
|
Divide 352 by 22.
|
16
|
Simplify -104/13
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-8
|
Simplify -30/3
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-10
|
What is -22 + -18?
|
Add the two numbers.
|
Add -22 and -18.
|
-40
|
What is 3^3?
|
Evaluate the integer exponent.
|
Multiply 3 by itself 3 times (0th power = 1).
|
27
|
What is 69 ÷ -23?
|
Divide evenly.
|
Divide 69 by -23.
|
-3
|
Simplify -168/14
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-12
|
Solve for x: -3x + 6 = 45
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-13
|
Solve for x: 12x + -8 = 100
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
9
|
If each item costs -7 dollars and the total cost is -140, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
20
|
Solve for x: 8x + 21 = -107
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-16
|
What is -3^1?
|
Evaluate the integer exponent.
|
Multiply -3 by itself 1 times (0th power = 1).
|
-3
|
Solve for x: -4(x + 2) = 36
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-11
|
Solve: 7x + 14 ≤ 133
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ 17
|
What is 4^5?
|
Evaluate the integer exponent.
|
Multiply 4 by itself 5 times (0th power = 1).
|
1024
|
What is 40 - 48?
|
Subtract the second number from the first.
|
Subtract 48 from 40.
|
-8
|
What is 2^4?
|
Evaluate the integer exponent.
|
Multiply 2 by itself 4 times (0th power = 1).
|
16
|
Solve for x: 1(x + 10) = 13
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
3
|
What is 6^5?
|
Evaluate the integer exponent.
|
Multiply 6 by itself 5 times (0th power = 1).
|
7776
|
What is -234 - -182?
|
Subtract the second number from the first.
|
Subtract -182 from -234.
|
-52
|
What is -218 - -101?
|
Subtract the second number from the first.
|
Subtract -101 from -218.
|
-117
|
Simplify -126/14
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-9
|
Solve for x: 7x + -1 = 132
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
19
|
Solve for x: -11x + -7 = -29
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
2
|
What is 156 ÷ 26?
|
Divide evenly.
|
Divide 156 by 26.
|
6
|
What is 258 + 32?
|
Add the two numbers.
|
Add 258 and 32.
|
290
|
What is 17 × -32?
|
Multiply the numbers.
|
Multiply 17 by -32.
|
-544
|
Simplify 96/16
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
6
|
Solve: -10x + 6 > 156
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -15
|
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