conversations listlengths 2 2 |
|---|
[
{
"from": "human",
"value": "Solve h = -3*h - 3*y, -155*y = 5*h - 150*y for h."
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "Let h be (-4)/(-5)*(-5)/(-2). Suppose -1 = h*g + 1. Which is smaller: -2 or g?"
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "What is the third derivative of -15*c**3*k**2 + 88*c**3*r - 2*c**2 - 4*c*r + 813*k**2*r wrt c?"
},
{
"from": "gpt",
"value": "-90*k**2 + 528*r"
}
] |
[
{
"from": "human",
"value": "Let p be 6/4*(-1 - -3). Suppose -p*o + 2 - 3 + 3*o + o**2 = 0. What is o?"
},
{
"from": "gpt",
"value": "-1, 1"
}
] |
[
{
"from": "human",
"value": "Evaluate ((-7)/(-1))/(-210)*-4."
},
{
"from": "gpt",
"value": "2/15"
}
] |
[
{
"from": "human",
"value": "Let k(c) be the first derivative of 3*c**5/20 + c**4/2 + c**3/2 + c + 4. Let h(u) be the first derivative of k(u). Factor h(m)."
},
{
"from": "gpt",
"value": "3*m*(m + 1)**2"
}
] |
[
{
"from": "human",
"value": "Let b(i) = -i**3 - 7*i**2 - 6*i + 5. Let d be b(-6). Suppose q + 24 = 2*s + d*q, 3*s - q = 8. Let f be 5 + 3*(0 - -1). Solve -s*y + 4 = -f for y."
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "Let f(n) = -2*n**2 - 9*n - 8. Let d be f(-2). Solve d*l - 15 = -2*l - 5*a, -5*l - 3*a = -9 for l."
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "What is the nearest to 0.1 in -4/9, 2/5, 0.11, 0?"
},
{
"from": "gpt",
"value": "0.11"
}
] |
[
{
"from": "human",
"value": "What is the second derivative of -2*h*l**3 - 4*h*l - 2*h + 4*l**3 + 12*l**2 + 7*l wrt l?"
},
{
"from": "gpt",
"value": "-12*h*l + 24*l + 24"
}
] |
[
{
"from": "human",
"value": "(2 - 4) + 0 + 7 + -1"
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "What is 62 minutes before 4:20 PM?"
},
{
"from": "gpt",
"value": "3:18 PM"
}
] |
[
{
"from": "human",
"value": "Calculate 28/35*15/24."
},
{
"from": "gpt",
"value": "1/2"
}
] |
[
{
"from": "human",
"value": "Calculate 3*12/9*(6 - 4)."
},
{
"from": "gpt",
"value": "8"
}
] |
[
{
"from": "human",
"value": "Which is the closest to 3? (a) -2/9 (b) 0 (c) 1 (d) -15/4"
},
{
"from": "gpt",
"value": "c"
}
] |
[
{
"from": "human",
"value": "Solve -41*c = -36*c - 25 for c."
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "What is the remainder when 245 is divided by 82?"
},
{
"from": "gpt",
"value": "81"
}
] |
[
{
"from": "human",
"value": "-90 - -5.56"
},
{
"from": "gpt",
"value": "-84.44"
}
] |
[
{
"from": "human",
"value": "Let s be (-20)/36 - 2/(-6). Sort s, -0.5, 0.5 in ascending order."
},
{
"from": "gpt",
"value": "-0.5, s, 0.5"
}
] |
[
{
"from": "human",
"value": "Let x = 92 - 87. Sort x, -3, -1 in increasing order."
},
{
"from": "gpt",
"value": "-3, -1, x"
}
] |
[
{
"from": "human",
"value": "In base 7, what is 3613 - 131460?"
},
{
"from": "gpt",
"value": "-124544"
}
] |
[
{
"from": "human",
"value": "Which is the closest to -0.1? (a) 2 (b) 17 (c) -0.1"
},
{
"from": "gpt",
"value": "c"
}
] |
[
{
"from": "human",
"value": "Suppose 8 = z - 51. Is z a multiple of 23?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "What is the value of (-2)/3*12/20?"
},
{
"from": "gpt",
"value": "-2/5"
}
] |
[
{
"from": "human",
"value": "Let j = 2 - 11. Let m = j + 8.9. What is the closest to m in 0, -5, 3/5?"
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "Let k be ((-9)/(-9))/(1/(-3)). Sort k, -2, 2, 1 in decreasing order."
},
{
"from": "gpt",
"value": "2, 1, -2, k"
}
] |
[
{
"from": "human",
"value": "Let r(z) = 15*z + 5. Let c(h) = -3*h - 1. Let i(a) = -11*c(a) - 2*r(a). Let v be i(1). Solve -3*j = -j - v for j."
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "Suppose 5*i - 5*z + 20 = 0, -14 - 11 = 4*i - z. Let h(v) = 8 - 11*v. Is h(i) composite?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Let l(c) be the first derivative of 2/3*c**3 + 0*c**2 - 3*c + 2. Find the first derivative of l(r) wrt r."
},
{
"from": "gpt",
"value": "4*r"
}
] |
[
{
"from": "human",
"value": "Suppose -10608 = 2*g + s, -3*g = -4*s + 18978 - 3055. Let a = 47672/9 + g. What is the common denominator of -9 and a?"
},
{
"from": "gpt",
"value": "9"
}
] |
[
{
"from": "human",
"value": "Which is the closest to -11/5? (a) -3 (b) -6 (c) 1/7 (d) 4"
},
{
"from": "gpt",
"value": "a"
}
] |
[
{
"from": "human",
"value": "What is 148/(-185)*45/(-24)?"
},
{
"from": "gpt",
"value": "3/2"
}
] |
[
{
"from": "human",
"value": "What is the j'th term of -14, -9, 0, 13, 30?"
},
{
"from": "gpt",
"value": "2*j**2 - j - 15"
}
] |
[
{
"from": "human",
"value": "(-1 - -7)*(272/(-16))/(-51)"
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "Solve 4*z + 459 = 487 for z."
},
{
"from": "gpt",
"value": "7"
}
] |
[
{
"from": "human",
"value": "4 divided by 21"
},
{
"from": "gpt",
"value": "4/21"
}
] |
[
{
"from": "human",
"value": "What is the nearest to -12 in 1, 0.1, 4?"
},
{
"from": "gpt",
"value": "0.1"
}
] |
[
{
"from": "human",
"value": "What is the cube root of 7177 to the nearest integer?"
},
{
"from": "gpt",
"value": "19"
}
] |
[
{
"from": "human",
"value": "Is 842 a multiple of 41?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Let o(f) = 16*f + 5. Let h be o(2). Let v = -26 + h. Calculate the remainder when v is divided by 6."
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "Factor 6*x**3 - 58*x**2/3 - 56*x + 40/3."
},
{
"from": "gpt",
"value": "2*(x - 5)*(x + 2)*(9*x - 2)/3"
}
] |
[
{
"from": "human",
"value": "Is -0.1 at least -583?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Let v(o) = -3*o + o**2 - 5 + o + 4. Let t be v(3). Which is greater: 1 or t?"
},
{
"from": "gpt",
"value": "t"
}
] |
[
{
"from": "human",
"value": "What is the highest common divisor of 72 and 1062?"
},
{
"from": "gpt",
"value": "18"
}
] |
[
{
"from": "human",
"value": "Suppose -2*g - 2*g = 5*f + 1, 7 = 4*g - 3*f. Suppose -4*r = -3*w, -2*w - g = -3*r - 0*r. Solve -3*d = -w*d + 2 for d."
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "Let f(b) = 7*b**2 + 7*b - 5. Let k be f(4). Calculate the greatest common divisor of k and 15."
},
{
"from": "gpt",
"value": "15"
}
] |
[
{
"from": "human",
"value": "Let p = 31 + -17. What is the tens digit of p?"
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "Let n = 4 + -8. Let o = n + 10. Let v(i) = -i**2. Let x be (-4)/(-6) + 2/6. Let q(r) = 4*r**2 - r. Give o*v(a) + x*q(a)."
},
{
"from": "gpt",
"value": "-2*a**2 - a"
}
] |
[
{
"from": "human",
"value": "Which is the nearest to -3? (a) -23/5 (b) -2 (c) 3"
},
{
"from": "gpt",
"value": "b"
}
] |
[
{
"from": "human",
"value": "Expand (0*j + 3*j + 0*j)*(-24*j**2 + 3*j**2 + j - 29*j**2)."
},
{
"from": "gpt",
"value": "-150*j**3 + 3*j**2"
}
] |
[
{
"from": "human",
"value": "How many minutes are there between 5:34 AM and 8:49 AM?"
},
{
"from": "gpt",
"value": "195"
}
] |
[
{
"from": "human",
"value": "What is next in -36, -75, -114, -153?"
},
{
"from": "gpt",
"value": "-192"
}
] |
[
{
"from": "human",
"value": "Let c(n) = -3*n**3 + 144*n**2 + 1161*n + 3072. Let h(f) = -2*f**3 + 72*f**2 + 581*f + 1536. Let w(r) = -5*c(r) + 9*h(r). Determine t so that w(t) = 0."
},
{
"from": "gpt",
"value": "-8"
}
] |
[
{
"from": "human",
"value": "What is 30028.23 decades in centuries?"
},
{
"from": "gpt",
"value": "3002.823"
}
] |
[
{
"from": "human",
"value": "Evaluate -3 - ((-10 - (-3 + 0)) + 5)."
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "Which is the biggest value? (a) -4/3 (b) 2 (c) 5/4 (d) -1/5 (e) 2/13"
},
{
"from": "gpt",
"value": "b"
}
] |
[
{
"from": "human",
"value": "Work out 39868 - -7."
},
{
"from": "gpt",
"value": "39875"
}
] |
[
{
"from": "human",
"value": "Let u = 9 + 0. Let o(v) = -2*v**2 + 2*v + 4*v**2 - 2 - v. Let d be o(-2). Solve -d*a = 3*h - u, -4*a + 3*h + 17 = 2 for a."
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "1639 divided by 5"
},
{
"from": "gpt",
"value": "1639/5"
}
] |
[
{
"from": "human",
"value": "What is the smallest value in 0.2, -3/8, 252?"
},
{
"from": "gpt",
"value": "-3/8"
}
] |
[
{
"from": "human",
"value": "What comes next: -60, -51, -42?"
},
{
"from": "gpt",
"value": "-33"
}
] |
[
{
"from": "human",
"value": "Sort 9, -4/9, -4, 2/9 in ascending order."
},
{
"from": "gpt",
"value": "-4, -4/9, 2/9, 9"
}
] |
[
{
"from": "human",
"value": "Which is the biggest value? (a) 5/4 (b) 0.02 (c) 24"
},
{
"from": "gpt",
"value": "c"
}
] |
[
{
"from": "human",
"value": "Collect the terms in -4*d + d - 2*d."
},
{
"from": "gpt",
"value": "-5*d"
}
] |
[
{
"from": "human",
"value": "Does 19 divide 29589?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Let m be -1146*(-12)/90 + (-4 - 104/(-20)). Which is bigger: 148 or m?"
},
{
"from": "gpt",
"value": "m"
}
] |
[
{
"from": "human",
"value": "Suppose 0 = -5*s + 4*v + 75 + 56, -16 = 4*v. Calculate the remainder when s is divided by 12."
},
{
"from": "gpt",
"value": "11"
}
] |
[
{
"from": "human",
"value": "What comes next: -1022, -2047, -3072, -4097?"
},
{
"from": "gpt",
"value": "-5122"
}
] |
[
{
"from": "human",
"value": "What is the next term in 102, 204, 316, 444, 594, 772, 984?"
},
{
"from": "gpt",
"value": "1236"
}
] |
[
{
"from": "human",
"value": "Let y = 7 - 15. Let h = y - -11. Solve -6 = -h*g + 4*g + 5*s, -3 = 3*s for g."
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "Let g be (-2 - 1) + (-1632)/(-594). Let s = g + 4/11. Let v = 4 - 3. Which is the biggest value? (a) v (b) 0.1 (c) s"
},
{
"from": "gpt",
"value": "a"
}
] |
[
{
"from": "human",
"value": "What comes next: -243, -256, -267, -276?"
},
{
"from": "gpt",
"value": "-283"
}
] |
[
{
"from": "human",
"value": "What is 0.2 - -211?"
},
{
"from": "gpt",
"value": "211.2"
}
] |
[
{
"from": "human",
"value": "Suppose 2*r = 8, r - 4 = 5*c - 0. Is c at most 1/25?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Suppose 2*u = 4*j - 2*u - 28, -3*u + 43 = 5*j. Let s = j + -4. What is the first derivative of s*c**3 + 3 - 2*c**4 - 4*c**3 wrt c?"
},
{
"from": "gpt",
"value": "-8*c**3"
}
] |
[
{
"from": "human",
"value": "Let s(h) = 2*h**3 + 6*h**2 + 6*h - 14. Let b(d) = -d**3 - 2*d**2 - 2*d + 5. Let k(j) = -8*b(j) - 3*s(j). Solve k(r) = 0."
},
{
"from": "gpt",
"value": "-1, 1"
}
] |
[
{
"from": "human",
"value": "What is the next term in -80, -134, -186, -236?"
},
{
"from": "gpt",
"value": "-284"
}
] |
[
{
"from": "human",
"value": "Let h(p) = 2 - p. Suppose 0 = -3*o + 5*o. Suppose o = -5*t - 13 + 48. What is the remainder when t is divided by h(-2)?"
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "How many minutes are there between 4:56 AM and 7:51 AM?"
},
{
"from": "gpt",
"value": "175"
}
] |
[
{
"from": "human",
"value": "Let g = 12 + -9. Suppose 0 = -t, g*h - 5 = 3*t + 13. What are the prime factors of h?"
},
{
"from": "gpt",
"value": "2, 3"
}
] |
[
{
"from": "human",
"value": "Let n = 2 + 0. Let p = n - 0. Solve -2 + 0 = p*c - j, -4*j = -4*c for c."
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "What is the second derivative of -1100*m**2 + 1228*m wrt m?"
},
{
"from": "gpt",
"value": "-2200"
}
] |
[
{
"from": "human",
"value": "What is the common denominator of -1/832 and 109/1170?"
},
{
"from": "gpt",
"value": "37440"
}
] |
[
{
"from": "human",
"value": "Which is the fourth smallest value? (a) 1 (b) 3.01 (c) 4 (d) -1 (e) 0"
},
{
"from": "gpt",
"value": "b"
}
] |
[
{
"from": "human",
"value": "Let c = 65 - 61. What is the biggest value in 0, -3, c?"
},
{
"from": "gpt",
"value": "c"
}
] |
[
{
"from": "human",
"value": "Work out 4 * -0.248."
},
{
"from": "gpt",
"value": "-0.992"
}
] |
[
{
"from": "human",
"value": "What is the nearest to 1/4 in -0.3, -1/3, -0.5, 4?"
},
{
"from": "gpt",
"value": "-0.3"
}
] |
[
{
"from": "human",
"value": "What is 29294 to the power of 1/2, to the nearest integer?"
},
{
"from": "gpt",
"value": "171"
}
] |
[
{
"from": "human",
"value": "What is 1279 to the power of 1/2, to the nearest integer?"
},
{
"from": "gpt",
"value": "36"
}
] |
[
{
"from": "human",
"value": "Let y(m) be the first derivative of 3*m**2/2 + 9*m + 3. Let x be y(-3). Solve x*b + 1 = b for b."
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "Suppose -3*o + o = 16. Let d be o/(-44) + 4/(-22). Let q be (d - 1) + -2 + 3. Solve -3*p - 5*x - 17 = 0, p + 7 = -q*x - 3*x for p."
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "Find the third derivative of 3*q*u**3 - q*u**2 + 18*q + 37*u**3 wrt u."
},
{
"from": "gpt",
"value": "18*q + 222"
}
] |
[
{
"from": "human",
"value": "What is the hundreds digit of 833?"
},
{
"from": "gpt",
"value": "8"
}
] |
[
{
"from": "human",
"value": "Solve -37*h = -43*h - 30 for h."
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "What is the u'th term of -300, -261, -196, -105?"
},
{
"from": "gpt",
"value": "13*u**2 - 313"
}
] |
[
{
"from": "human",
"value": "Find c, given that 2*c**2/13 + 84*c/13 = 0."
},
{
"from": "gpt",
"value": "-42, 0"
}
] |
[
{
"from": "human",
"value": "What is the next term in 15, 67, 203, 465, 895?"
},
{
"from": "gpt",
"value": "1535"
}
] |
[
{
"from": "human",
"value": "Evaluate (-45)/18 + 3 + 7/(-10)."
},
{
"from": "gpt",
"value": "-1/5"
}
] |
[
{
"from": "human",
"value": "-351 * 0.17"
},
{
"from": "gpt",
"value": "-59.67"
}
] |
[
{
"from": "human",
"value": "What is 52806 rounded to the nearest 1000?"
},
{
"from": "gpt",
"value": "53000.0"
}
] |
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