question
stringlengths
12
86
problem
stringclasses
10 values
how_to_solve
stringlengths
12
82
answer
stringlengths
1
7
Solve: -7x + -16 ≥ 82
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≥ -14
What is 8^2?
Evaluate the integer exponent.
Multiply 8 by itself 2 times (0th power = 1).
64
What is -5^2?
Evaluate the integer exponent.
Multiply -5 by itself 2 times (0th power = 1).
25
What is 100 + 273?
Add the two numbers.
Add 100 and 273.
373
Solve for x: -12x + 10 = -182
Solve the linear equation.
Subtract b from both sides, then divide by a.
16
What is 162 ÷ 9?
Divide evenly.
Divide 162 by 9.
18
What is 20 ÷ 20?
Divide evenly.
Divide 20 by 20.
1
What is -152 ÷ 8?
Divide evenly.
Divide -152 by 8.
-19
Simplify 80/16
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
5
What is 212 + -66?
Add the two numbers.
Add 212 and -66.
146
What is -29 + -215?
Add the two numbers.
Add -29 and -215.
-244
Solve for x: -6(x + 12) = -126
Solve a two-step equation.
Divide both sides by a, then subtract b.
9
Solve: 2x + -18 ≥ 4
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≥ 11
What is -6^2?
Evaluate the integer exponent.
Multiply -6 by itself 2 times (0th power = 1).
36
Solve: 4x + 2 < -14
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x < -4
Solve for x: 2(x + 0) = 2
Solve a two-step equation.
Divide both sides by a, then subtract b.
1
Simplify 36/9
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
4
Simplify 15/5
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
3
What is 220 + -235?
Add the two numbers.
Add 220 and -235.
-15
What is 220 ÷ 22?
Divide evenly.
Divide 220 by 22.
10
Simplify -56/14
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-4
Solve: -4x + -5 ≥ -17
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≥ 3
Solve for x: 10x + 2 = 142
Solve the linear equation.
Subtract b from both sides, then divide by a.
14
Solve for x: -1(x + 8) = -20
Solve a two-step equation.
Divide both sides by a, then subtract b.
12
Solve for x: -8x + -29 = -157
Solve the linear equation.
Subtract b from both sides, then divide by a.
16
What is 214 + 37?
Add the two numbers.
Add 214 and 37.
251
Solve for x: 1(x + 4) = 11
Solve a two-step equation.
Divide both sides by a, then subtract b.
7
What is 256 + 199?
Add the two numbers.
Add 256 and 199.
455
What is 34 × 5?
Multiply the numbers.
Multiply 34 by 5.
170
Solve for x: -8x + 29 = 69
Solve the linear equation.
Subtract b from both sides, then divide by a.
-5
What is -2^3?
Evaluate the integer exponent.
Multiply -2 by itself 3 times (0th power = 1).
-8
What is -260 ÷ -26?
Divide evenly.
Divide -260 by -26.
10
Solve for x: -3(x + 14) = -27
Solve a two-step equation.
Divide both sides by a, then subtract b.
-5
What is -177 + 137?
Add the two numbers.
Add -177 and 137.
-40
Solve: 2x + 11 ≤ -19
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≤ -15
Solve for x: 5(x + -6) = -105
Solve a two-step equation.
Divide both sides by a, then subtract b.
-15
What is -56 × 60?
Multiply the numbers.
Multiply -56 by 60.
-3360
What is -252 ÷ 28?
Divide evenly.
Divide -252 by 28.
-9
What is 139 + -25?
Add the two numbers.
Add 139 and -25.
114
What is -190 - -238?
Subtract the second number from the first.
Subtract -238 from -190.
48
Simplify -20/4
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-5
What is 199 - -1?
Subtract the second number from the first.
Subtract -1 from 199.
200
What is 23 ÷ -23?
Divide evenly.
Divide 23 by -23.
-1
If each item costs -4 dollars and the total cost is -40, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
10
Solve for x: -5x + -1 = 39
Solve the linear equation.
Subtract b from both sides, then divide by a.
-8
What is -164 - 62?
Subtract the second number from the first.
Subtract 62 from -164.
-226
Solve for x: 4(x + 12) = 20
Solve a two-step equation.
Divide both sides by a, then subtract b.
-7
What is 14 × -10?
Multiply the numbers.
Multiply 14 by -10.
-140
What is 28 × -46?
Multiply the numbers.
Multiply 28 by -46.
-1288
Solve for x: -7(x + -15) = 168
Solve a two-step equation.
Divide both sides by a, then subtract b.
-9
What is 255 - -120?
Subtract the second number from the first.
Subtract -120 from 255.
375
What is 205 + 267?
Add the two numbers.
Add 205 and 267.
472
What is -286 + 153?
Add the two numbers.
Add -286 and 153.
-133
What is -53 + 184?
Add the two numbers.
Add -53 and 184.
131
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
What is 75 ÷ 25?
Divide evenly.
Divide 75 by 25.
3
What is 7^2?
Evaluate the integer exponent.
Multiply 7 by itself 2 times (0th power = 1).
49
If each item costs 1 dollars and the total cost is 8, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
8
What is 33 + 267?
Add the two numbers.
Add 33 and 267.
300
Solve: 10x + 7 > 197
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 45, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-5
What is 18 × 10?
Multiply the numbers.
Multiply 18 by 10.
180
Solve: 6x + 11 ≥ 83
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≥ 12
Solve for x: -6x + -14 = 82
Solve the linear equation.
Subtract b from both sides, then divide by a.
-16
What is -8^1?
Evaluate the integer exponent.
Multiply -8 by itself 1 times (0th power = 1).
-8
What is -2^4?
Evaluate the integer exponent.
Multiply -2 by itself 4 times (0th power = 1).
16
Solve for x: 7x + 4 = 25
Solve the linear equation.
Subtract b from both sides, then divide by a.
3
Solve for x: 4(x + 11) = 32
Solve a two-step equation.
Divide both sides by a, then subtract b.
-3
Solve for x: 4x + -20 = 56
Solve the linear equation.
Subtract b from both sides, then divide by a.
19
Simplify 0/2
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
0
What is -27 × -22?
Multiply the numbers.
Multiply -27 by -22.
594
If each item costs -9 dollars and the total cost is 99, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-11
What is 50 - -176?
Subtract the second number from the first.
Subtract -176 from 50.
226
Solve for x: -6(x + 11) = -156
Solve a two-step equation.
Divide both sides by a, then subtract b.
15
Solve for x: 1x + -27 = -9
Solve the linear equation.
Subtract b from both sides, then divide by a.
18
If each item costs 9 dollars and the total cost is 243, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
27
What is -56 ÷ -14?
Divide evenly.
Divide -56 by -14.
4
What is -37 - 38?
Subtract the second number from the first.
Subtract 38 from -37.
-75
What is 5 - -299?
Subtract the second number from the first.
Subtract -299 from 5.
304
What is -5^4?
Evaluate the integer exponent.
Multiply -5 by itself 4 times (0th power = 1).
625
Solve: -5x + 10 ≥ -70
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≥ 16
What is -42 + 92?
Add the two numbers.
Add -42 and 92.
50
Solve for x: 10x + 26 = -44
Solve the linear equation.
Subtract b from both sides, then divide by a.
-7
Solve for x: -6(x + -3) = -72
Solve a two-step equation.
Divide both sides by a, then subtract b.
15
Solve for x: -2(x + 4) = 22
Solve a two-step equation.
Divide both sides by a, then subtract b.
-15
What is 3^5?
Evaluate the integer exponent.
Multiply 3 by itself 5 times (0th power = 1).
243
Solve for x: 1x + -6 = -16
Solve the linear equation.
Subtract b from both sides, then divide by a.
-10
Solve for x: -4(x + 1) = 28
Solve a two-step equation.
Divide both sides by a, then subtract b.
-8
If each item costs 13 dollars and the total cost is -169, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-13
Solve for x: 2(x + -9) = -34
Solve a two-step equation.
Divide both sides by a, then subtract b.
-8
What is 2^5?
Evaluate the integer exponent.
Multiply 2 by itself 5 times (0th power = 1).
32
What is -5^2?
Evaluate the integer exponent.
Multiply -5 by itself 2 times (0th power = 1).
25
What is 58 × 9?
Multiply the numbers.
Multiply 58 by 9.
522
Solve for x: -7(x + 3) = -14
Solve a two-step equation.
Divide both sides by a, then subtract b.
-1
What is -240 ÷ 20?
Divide evenly.
Divide -240 by 20.
-12
Simplify -66/11
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-6
If each item costs 8 dollars and the total cost is 208, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
26
Solve for x: 6x + 26 = -52
Solve the linear equation.
Subtract b from both sides, then divide by a.
-13
What is -16 + 127?
Add the two numbers.
Add -16 and 127.
111
What is 5^5?
Evaluate the integer exponent.
Multiply 5 by itself 5 times (0th power = 1).
3125