question
stringlengths
12
86
problem
stringclasses
10 values
how_to_solve
stringlengths
12
82
answer
stringlengths
1
7
Solve for x: -4x + -10 = -82
Solve the linear equation.
Subtract b from both sides, then divide by a.
18
Solve: 5x + 18 ≥ 58
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≥ 8
Solve for x: -12x + 11 = 191
Solve the linear equation.
Subtract b from both sides, then divide by a.
-15
What is 48 ÷ 6?
Divide evenly.
Divide 48 by 6.
8
What is 3^5?
Evaluate the integer exponent.
Multiply 3 by itself 5 times (0th power = 1).
243
What is -142 + -164?
Add the two numbers.
Add -142 and -164.
-306
What is 55 + -17?
Add the two numbers.
Add 55 and -17.
38
What is 198 + 221?
Add the two numbers.
Add 198 and 221.
419
Solve for x: -4(x + 0) = -4
Solve a two-step equation.
Divide both sides by a, then subtract b.
1
Solve for x: 3x + 10 = 7
Solve the linear equation.
Subtract b from both sides, then divide by a.
-1
What is 5^1?
Evaluate the integer exponent.
Multiply 5 by itself 1 times (0th power = 1).
5
Solve: -2x + -7 ≥ -31
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≥ 12
What is 4^1?
Evaluate the integer exponent.
Multiply 4 by itself 1 times (0th power = 1).
4
Solve for x: 5x + 15 = 30
Solve the linear equation.
Subtract b from both sides, then divide by a.
3
If each item costs 13 dollars and the total cost is 182, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
14
Solve: -9x + 5 > -4
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x > 1
Solve for x: 7x + -7 = -105
Solve the linear equation.
Subtract b from both sides, then divide by a.
-14
What is -106 - 226?
Subtract the second number from the first.
Subtract 226 from -106.
-332
If each item costs 18 dollars and the total cost is 432, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
24
Solve for x: 6(x + 8) = 66
Solve a two-step equation.
Divide both sides by a, then subtract b.
3
Solve for x: 12x + 21 = 201
Solve the linear equation.
Subtract b from both sides, then divide by a.
15
Solve for x: 3(x + 12) = 57
Solve a two-step equation.
Divide both sides by a, then subtract b.
7
What is -1^4?
Evaluate the integer exponent.
Multiply -1 by itself 4 times (0th power = 1).
1
Solve for x: -8x + 24 = 0
Solve the linear equation.
Subtract b from both sides, then divide by a.
3
What is 2^3?
Evaluate the integer exponent.
Multiply 2 by itself 3 times (0th power = 1).
8
Solve for x: -1(x + -15) = 17
Solve a two-step equation.
Divide both sides by a, then subtract b.
-2
What is 69 ÷ -23?
Divide evenly.
Divide 69 by -23.
-3
If each item costs 18 dollars and the total cost is 108, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
6
What is 299 - -112?
Subtract the second number from the first.
Subtract -112 from 299.
411
What is 74 + 207?
Add the two numbers.
Add 74 and 207.
281
Simplify 42/14
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
3
What is 23 ÷ 23?
Divide evenly.
Divide 23 by 23.
1
Simplify -80/8
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-10
Solve for x: -4(x + -10) = 52
Solve a two-step equation.
Divide both sides by a, then subtract b.
-3
Solve for x: 5(x + 7) = 0
Solve a two-step equation.
Divide both sides by a, then subtract b.
-7
What is -267 + -172?
Add the two numbers.
Add -267 and -172.
-439
What is 56 ÷ 8?
Divide evenly.
Divide 56 by 8.
7
Solve: 8x + 13 ≤ 21
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≤ 1
What is 70 ÷ 7?
Divide evenly.
Divide 70 by 7.
10
What is 1 × -46?
Multiply the numbers.
Multiply 1 by -46.
-46
What is 39 + -158?
Add the two numbers.
Add 39 and -158.
-119
What is -37 × -28?
Multiply the numbers.
Multiply -37 by -28.
1036
What is 420 ÷ 21?
Divide evenly.
Divide 420 by 21.
20
What is -198 ÷ -18?
Divide evenly.
Divide -198 by -18.
11
Simplify 40/4
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
10
Solve for x: -8x + -5 = -5
Solve the linear equation.
Subtract b from both sides, then divide by a.
0
Solve for x: -10x + 25 = -115
Solve the linear equation.
Subtract b from both sides, then divide by a.
14
What is 36 × 60?
Multiply the numbers.
Multiply 36 by 60.
2160
What is -35 ÷ -5?
Divide evenly.
Divide -35 by -5.
7
Solve for x: -12x + -18 = -150
Solve the linear equation.
Subtract b from both sides, then divide by a.
11
Solve: 7x + -9 ≥ -93
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≥ -12
Simplify -63/9
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-7
What is 210 + -225?
Add the two numbers.
Add 210 and -225.
-15
What is 54 - 63?
Subtract the second number from the first.
Subtract 63 from 54.
-9
Solve: -4x + 2 ≥ 62
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≥ -15
What is -16 ÷ 16?
Divide evenly.
Divide -16 by 16.
-1
What is -2^0?
Evaluate the integer exponent.
Multiply -2 by itself 0 times (0th power = 1).
1
What is 133 ÷ 7?
Divide evenly.
Divide 133 by 7.
19
Solve for x: -3(x + -8) = 45
Solve a two-step equation.
Divide both sides by a, then subtract b.
-7
If each item costs 11 dollars and the total cost is 121, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
11
What is 59 × -48?
Multiply the numbers.
Multiply 59 by -48.
-2832
What is 113 + -294?
Add the two numbers.
Add 113 and -294.
-181
What is -17 × -30?
Multiply the numbers.
Multiply -17 by -30.
510
Solve: 2x + -12 ≥ 12
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≥ 12
Solve for x: -8(x + 6) = -40
Solve a two-step equation.
Divide both sides by a, then subtract b.
-1
Solve: -9x + 1 ≤ 28
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≤ -3
Simplify -120/12
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-10
What is -4^4?
Evaluate the integer exponent.
Multiply -4 by itself 4 times (0th power = 1).
256
Solve: 6x + -20 ≤ -134
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≤ -19
What is -125 - -272?
Subtract the second number from the first.
Subtract -272 from -125.
147
What is 4^5?
Evaluate the integer exponent.
Multiply 4 by itself 5 times (0th power = 1).
1024
What is 4^5?
Evaluate the integer exponent.
Multiply 4 by itself 5 times (0th power = 1).
1024
Solve for x: -12x + 4 = -20
Solve the linear equation.
Subtract b from both sides, then divide by a.
2
What is 7^4?
Evaluate the integer exponent.
Multiply 7 by itself 4 times (0th power = 1).
2401
Solve for x: -5(x + 9) = -85
Solve a two-step equation.
Divide both sides by a, then subtract b.
8
Solve: 2x + 20 < 28
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x < 4
Solve for x: -3(x + 6) = 21
Solve a two-step equation.
Divide both sides by a, then subtract b.
-13
If each item costs -3 dollars and the total cost is 0, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
0
Solve for x: 3(x + 11) = 18
Solve a two-step equation.
Divide both sides by a, then subtract b.
-5
What is 5^2?
Evaluate the integer exponent.
Multiply 5 by itself 2 times (0th power = 1).
25
What is -125 + 252?
Add the two numbers.
Add -125 and 252.
127
If each item costs 3 dollars and the total cost is -33, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-11
What is -216 ÷ -27?
Divide evenly.
Divide -216 by -27.
8
Solve: 3x + -16 ≤ -16
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≤ 0
What is 5^0?
Evaluate the integer exponent.
Multiply 5 by itself 0 times (0th power = 1).
1
What is -22 + 54?
Add the two numbers.
Add -22 and 54.
32
What is 35 × -56?
Multiply the numbers.
Multiply 35 by -56.
-1960
Solve for x: -8(x + -14) = 168
Solve a two-step equation.
Divide both sides by a, then subtract b.
-7
What is 129 - -1?
Subtract the second number from the first.
Subtract -1 from 129.
130
Solve for x: -8x + -20 = -116
Solve the linear equation.
Subtract b from both sides, then divide by a.
12
Solve for x: -2(x + -11) = 40
Solve a two-step equation.
Divide both sides by a, then subtract b.
-9
Solve for x: -7(x + -2) = 63
Solve a two-step equation.
Divide both sides by a, then subtract b.
-7
What is 113 - 258?
Subtract the second number from the first.
Subtract 258 from 113.
-145
Solve for x: -2(x + 15) = -20
Solve a two-step equation.
Divide both sides by a, then subtract b.
-5
Simplify -110/11
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-10
What is 6 + -99?
Add the two numbers.
Add 6 and -99.
-93
If each item costs -3 dollars and the total cost is 33, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-11
Simplify -10/1
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-10
Simplify -18/3
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-6
Solve for x: -11x + -6 = 214
Solve the linear equation.
Subtract b from both sides, then divide by a.
-20