conversations listlengths 2 2 |
|---|
[
{
"from": "human",
"value": "What is 0.5 minus 852?"
},
{
"from": "gpt",
"value": "-851.5"
}
] |
[
{
"from": "human",
"value": "What is the next term in -36, -130, -286, -504?"
},
{
"from": "gpt",
"value": "-784"
}
] |
[
{
"from": "human",
"value": "Suppose 5*d = -3*b - 37, 7*b - 8*b + 21 = -5*d. Put d, 4, 12 in decreasing order."
},
{
"from": "gpt",
"value": "12, 4, d"
}
] |
[
{
"from": "human",
"value": "What is the next term in -4, -25, -46, -67?"
},
{
"from": "gpt",
"value": "-88"
}
] |
[
{
"from": "human",
"value": "Let u = 12 + 0. Let b(c) = -c**2 - 3*c + 4. Let l be b(-4). Let j = u - l. Calculate the remainder when j is divided by 7."
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "What are the prime factors of 23528?"
},
{
"from": "gpt",
"value": "2, 17, 173"
}
] |
[
{
"from": "human",
"value": "What is (-8)/(-6)*13/(-78)?"
},
{
"from": "gpt",
"value": "-2/9"
}
] |
[
{
"from": "human",
"value": "Let n(p) = p**3 + p**2 + 1. Let b(z) = z**3 - 6*z**2 + 3*z - 13. Let u be b(6). Let t(h) = -6*h**3 - 3*h**2 - 5. What is u*n(d) + t(d)?"
},
{
"from": "gpt",
"value": "-d**3 + 2*d**2"
}
] |
[
{
"from": "human",
"value": "What is the product of -0.4 and 2.48?"
},
{
"from": "gpt",
"value": "-0.992"
}
] |
[
{
"from": "human",
"value": "What is the derivative of -43*z**3 + 3*z**2 - 30*z + 9233 wrt z?"
},
{
"from": "gpt",
"value": "-129*z**2 + 6*z - 30"
}
] |
[
{
"from": "human",
"value": "Solve -9*r + 11*r = 6 for r."
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "What is -6 - (1 + -7 + -1 + -4)?"
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "What is next in 1593, 6384, 14363, 25524, 39861?"
},
{
"from": "gpt",
"value": "57368"
}
] |
[
{
"from": "human",
"value": "Let q(v) = 4*v**2 - 2*v. Let j(l) = 5*l**2 - 3*l - 1. Let u(k) = -3*j(k) + 4*q(k). Let s be u(-3). Solve 0 = -p + 2*o - 8, p + 5*o = 11 + s for p."
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "Suppose -2*y - 3*j = -3 - 22, 5*y = -j + 69. What is the greatest common factor of y and 42?"
},
{
"from": "gpt",
"value": "14"
}
] |
[
{
"from": "human",
"value": "Let b be -2*(-2 + 3)*-4. Is (14/b)/((-1)/(-4)) composite?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "What is 106/(-4240)*(-8)/(-2)?"
},
{
"from": "gpt",
"value": "-1/10"
}
] |
[
{
"from": "human",
"value": "Find d, given that -2*d**3/9 + 26*d**2/9 - 28*d/9 - 176/9 = 0."
},
{
"from": "gpt",
"value": "-2, 4, 11"
}
] |
[
{
"from": "human",
"value": "What is fourty-eight fifths of a hour in minutes?"
},
{
"from": "gpt",
"value": "576"
}
] |
[
{
"from": "human",
"value": "Suppose 5*p + 8 = p. Calculate the remainder when 2/(-8)*(-214 - p) is divided by 14."
},
{
"from": "gpt",
"value": "11"
}
] |
[
{
"from": "human",
"value": "Solve 35 = q - 8*q for q."
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "Calculate the common denominator of 37/1664 and 9/32."
},
{
"from": "gpt",
"value": "1664"
}
] |
[
{
"from": "human",
"value": "Solve -17116 + 24664 = -1013*l - 25881 for l."
},
{
"from": "gpt",
"value": "-33"
}
] |
[
{
"from": "human",
"value": "Suppose -6*k + 3*g - 96 = -3*k, 0 = 2*g - 2. Let r = 72 + k. Is r a multiple of 11?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Suppose d + 132 = 5*d. Let h(q) = 5*q**2 + 2*q + 1. Calculate the remainder when d is divided by h(-2)."
},
{
"from": "gpt",
"value": "16"
}
] |
[
{
"from": "human",
"value": "What is -793700 rounded to the nearest 10000?"
},
{
"from": "gpt",
"value": "-790000.0"
}
] |
[
{
"from": "human",
"value": "Simplify (6*sqrt(78)*1 + sqrt(78) + sqrt(78))/(sqrt(96)*-1)."
},
{
"from": "gpt",
"value": "-2*sqrt(13)"
}
] |
[
{
"from": "human",
"value": "Simplify (sqrt(13) + (-2 + sqrt(13))*-4 + 1*sqrt(637))*-3."
},
{
"from": "gpt",
"value": "-12*sqrt(13) - 24"
}
] |
[
{
"from": "human",
"value": "Which is smaller: 104 or 1?"
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "Divide 245 by -1."
},
{
"from": "gpt",
"value": "-245"
}
] |
[
{
"from": "human",
"value": "What is ((-2)/(-8))/((-1)/(-12))?"
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "Let a be 7 + 4/(-16)*0. Suppose 62 + 58 = 3*j. Find the common denominator of 1*((-322)/j)/a and 41/16."
},
{
"from": "gpt",
"value": "80"
}
] |
[
{
"from": "human",
"value": "Let q(y) = y**2 - 2*y + 1. Let k be 1 - (6/(-2) + 0). Let g be q(k). Solve -g = 5*x - 2*x - 3*h, 0 = 2*x - 3*h + 8 for x."
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "Let c = 2.122 - 1.922. What is the closest to 6 in 0, c, -2/5, -2/11?"
},
{
"from": "gpt",
"value": "c"
}
] |
[
{
"from": "human",
"value": "Let h be (-52498 - 2)*180/(-5). Round h to the nearest 100000."
},
{
"from": "gpt",
"value": "1900000.0"
}
] |
[
{
"from": "human",
"value": "3 + -29 + 22 + 1 + -1"
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "What is the closest to -20/13 in 0, -0.272, 4, 1/4?"
},
{
"from": "gpt",
"value": "-0.272"
}
] |
[
{
"from": "human",
"value": "What is the remainder when 592 is divided by 77?"
},
{
"from": "gpt",
"value": "53"
}
] |
[
{
"from": "human",
"value": "Find the second derivative of 3*k**2*l + 4*k**2*q**2 - 2*k*l*q**2 - 12*l*q**2 - 2*l*q - 191*l wrt q."
},
{
"from": "gpt",
"value": "8*k**2 - 4*k*l - 24*l"
}
] |
[
{
"from": "human",
"value": "Evaluate (11/11)/(-3*(-2)/(-30))."
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "Evaluate -5 - ((-2 - (-78)/(-9)) + 5)."
},
{
"from": "gpt",
"value": "2/3"
}
] |
[
{
"from": "human",
"value": "Let q(d) = 2*d - 3. Let o = -2 - -1. Let z = -5 + o. Let l be 9/(-6)*(-8)/z. Let c(i) = 1 - i. Determine l*q(u) - 6*c(u)."
},
{
"from": "gpt",
"value": "2*u"
}
] |
[
{
"from": "human",
"value": "Divide -3 by -22."
},
{
"from": "gpt",
"value": "3/22"
}
] |
[
{
"from": "human",
"value": "Evaluate 1/20 - (-19)/570."
},
{
"from": "gpt",
"value": "1/12"
}
] |
[
{
"from": "human",
"value": "Simplify sqrt(91)/(sqrt(28)/sqrt(4)) - (2*sqrt(117) - sqrt(13))."
},
{
"from": "gpt",
"value": "-4*sqrt(13)"
}
] |
[
{
"from": "human",
"value": "What is the square root of 361 to the nearest integer?"
},
{
"from": "gpt",
"value": "19"
}
] |
[
{
"from": "human",
"value": "Suppose 2*v = 5*z - 41 - 40, -z - v + 12 = 0. Let o = z - -1. Let h be 1/(-3) - o/(-3). Solve -3*u = -h*u for u."
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "List the prime factors of 13211."
},
{
"from": "gpt",
"value": "11, 1201"
}
] |
[
{
"from": "human",
"value": "Let v = -985/4 + 245. Which is greater: -1 or v?"
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "Let q(x) = -x**2 + 8*x. Suppose 5*g - 2*u - 42 = 0, 3*g - 5*u - 71 + 42 = 0. Calculate q(g)."
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "Do 3062 and 4 have different values?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Simplify ((f*f*f/(f**(-2)*f*f)*f*f)/f)**(-1/31)/((f**(-4)*f)/(f/(f**(1/3)*f))) assuming f is positive."
},
{
"from": "gpt",
"value": "f**(236/93)"
}
] |
[
{
"from": "human",
"value": "Let g = 6263 - 300595/48. Let j = -1/16 - g. Let c = 47 - 189/4. What is the second biggest value in j, -3, c?"
},
{
"from": "gpt",
"value": "j"
}
] |
[
{
"from": "human",
"value": "Solve -3*q = -4*s + 14 - 3, 2*q + 9 = 3*s for s."
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "What is the value of -3*32/(-84)*(-7)/(-2)?"
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "Is 4 a factor of 153?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Simplify ((sqrt(847) + -1)*-5)**2."
},
{
"from": "gpt",
"value": "21200 - 550*sqrt(7)"
}
] |
[
{
"from": "human",
"value": "-11010010 (base 2) to base 14"
},
{
"from": "gpt",
"value": "-110"
}
] |
[
{
"from": "human",
"value": "What is the highest common factor of 3648 and 57?"
},
{
"from": "gpt",
"value": "57"
}
] |
[
{
"from": "human",
"value": "What is the square root of 4008 to the nearest integer?"
},
{
"from": "gpt",
"value": "63"
}
] |
[
{
"from": "human",
"value": "Calculate ((-15)/40*2)/(3/(-4))."
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "What is the r'th term of 185, 179, 171, 161, 149?"
},
{
"from": "gpt",
"value": "-r**2 - 3*r + 189"
}
] |
[
{
"from": "human",
"value": "Solve 4*a - 31 = 3*g - 34, 3*g + 4*a = 3 for g."
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "Rearrange 2*z - 4*z**3 - 3*z**3 + 4*z**3 + 2*z**2 + 8 - 10 + z**3 - 50*z**4 to the form x*z + o*z**3 + b + d*z**2 + l*z**4 and give b."
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "What is 33374 to the power of 1/7, to the nearest integer?"
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "Calculate -9 - -1.2616."
},
{
"from": "gpt",
"value": "-7.7384"
}
] |
[
{
"from": "human",
"value": "Suppose -4*l + 28 = 7*s - 3*s, 4*l = -3*s + 16. Let u be (-4 + 1)*(-294)/9. Let g = -64 + u. What is the remainder when g is divided by s?"
},
{
"from": "gpt",
"value": "10"
}
] |
[
{
"from": "human",
"value": "What is the remainder when 3103 is divided by 174?"
},
{
"from": "gpt",
"value": "145"
}
] |
[
{
"from": "human",
"value": "How many minutes are there between 9:19 AM and 2:10 PM?"
},
{
"from": "gpt",
"value": "291"
}
] |
[
{
"from": "human",
"value": "What is 0 (base 13) in base 12?"
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "Let o = 126 - 227. Let n = 100.817 + o. Let x = -0.18300073 - n. What is x rounded to seven decimal places?"
},
{
"from": "gpt",
"value": "-7e-07"
}
] |
[
{
"from": "human",
"value": "Let s be (16/(-1))/(69/24 - 3). Calculate the greatest common divisor of s and 8."
},
{
"from": "gpt",
"value": "8"
}
] |
[
{
"from": "human",
"value": "Find the second derivative of -15*b - b**3 - 13*b**3 + 3*b**3 wrt b."
},
{
"from": "gpt",
"value": "-66*b"
}
] |
[
{
"from": "human",
"value": "Solve 0 = 12*g - 0*g - 60 for g."
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "Let k(g) = 4*g**3 - 2*g**2 - 2. Let x be k(-2). Let n be ((-6)/7)/(3/x). Suppose 24 + n = 3*j. What are the prime factors of j?"
},
{
"from": "gpt",
"value": "2, 3"
}
] |
[
{
"from": "human",
"value": "Let y**3/6 - 19*y**2/6 - y/6 + 19/6 = 0. What is y?"
},
{
"from": "gpt",
"value": "-1, 1, 19"
}
] |
[
{
"from": "human",
"value": "What is 170385 to the power of 1/2, to the nearest integer?"
},
{
"from": "gpt",
"value": "413"
}
] |
[
{
"from": "human",
"value": "Solve 133 = -11*p - 8*p for p."
},
{
"from": "gpt",
"value": "-7"
}
] |
[
{
"from": "human",
"value": "What comes next: -31, -126, -283, -502, -783, -1126, -1531?"
},
{
"from": "gpt",
"value": "-1998"
}
] |
[
{
"from": "human",
"value": "-1 divided by 8"
},
{
"from": "gpt",
"value": "-1/8"
}
] |
[
{
"from": "human",
"value": "Calculate (1610/77)/5 + -1 + -3."
},
{
"from": "gpt",
"value": "2/11"
}
] |
[
{
"from": "human",
"value": "What is 2/(2/(-1)) - 540/270?"
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "Calculate (-21)/(-56)*(-7)/(42/(-24))."
},
{
"from": "gpt",
"value": "3/2"
}
] |
[
{
"from": "human",
"value": "In base 14, what is 43 + 0?"
},
{
"from": "gpt",
"value": "43"
}
] |
[
{
"from": "human",
"value": "Calculate -1 + (-5 + 2 - -3)."
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "What is the remainder when 35 is divided by 23?"
},
{
"from": "gpt",
"value": "12"
}
] |
[
{
"from": "human",
"value": "What is 344 minutes after 3:32 AM?"
},
{
"from": "gpt",
"value": "9:16 AM"
}
] |
[
{
"from": "human",
"value": "Let u(f) = 3*f**3 + 7*f**2 - 6*f - 1. Let q(s) = 10*s**3 + 22*s**2 - 18*s - 3. Let k(x) = -2*q(x) + 7*u(x). Let v be k(-6). Is v/(157/79 - 2) composite?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Which is smaller: 11/25 or 0?"
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "Collect the terms in -6*u**3 - 2*u**3 + 0*u**3 - 2*u**3."
},
{
"from": "gpt",
"value": "-10*u**3"
}
] |
[
{
"from": "human",
"value": "In base 3, what is 11 + -2120012?"
},
{
"from": "gpt",
"value": "-2120001"
}
] |
[
{
"from": "human",
"value": "Solve y = 3*l - 1, 4*l = 63*y - 61*y - 2 for y."
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "In base 15, what is 2 - -620497?"
},
{
"from": "gpt",
"value": "620499"
}
] |
[
{
"from": "human",
"value": "Evaluate 1 + -13 - (-139 + 131)."
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "Suppose 5*u - 12 = -2. Solve -2*y - 2 = b, 3*y = -b - y - u for b."
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "In base 16, what is 3 - -2?"
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "Suppose 0 = -4*q + 3*u + 13, 0 - 2 = 4*q + 2*u. Suppose c - 17 - q = 0. Is c a multiple of 6?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Solve 0 = 37*a + 16*a - 159 for a."
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "What is ((10/(-25)*-5)/(-2))/1?"
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "Let a(c) = 5*c**2 - 3*c + 27. Let f(o) = -11*o**2 + 7*o - 55. Let i(r) = 7*a(r) + 3*f(r). What is the first derivative of i(k) wrt k?"
},
{
"from": "gpt",
"value": "4*k"
}
] |
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