conversations listlengths 2 2 |
|---|
[
{
"from": "human",
"value": "What is -3 (base 16) in base 12?"
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "What is next in 342, 679, 1004, 1311, 1594, 1847, 2064?"
},
{
"from": "gpt",
"value": "2239"
}
] |
[
{
"from": "human",
"value": "What is the remainder when 154 is divided by 39?"
},
{
"from": "gpt",
"value": "37"
}
] |
[
{
"from": "human",
"value": "What is next in 1045, 1043, 1041, 1039, 1037, 1035?"
},
{
"from": "gpt",
"value": "1033"
}
] |
[
{
"from": "human",
"value": "Evaluate 0 - (4 - 7) - (-5 - -10)."
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "Let i(p) = 1 + 10*p**2 - 6 - 3. Suppose -u - 2*b = 5, -5*b + 3*b + 5 = 3*u. Suppose -3 = -u*v - 8. Let s(m) = m**2 - 1. What is v*i(d) + 8*s(d)?"
},
{
"from": "gpt",
"value": "-2*d**2"
}
] |
[
{
"from": "human",
"value": "Solve -3*t + 84 - 93 = 0 for t."
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "Work out -998 - -0.26."
},
{
"from": "gpt",
"value": "-997.74"
}
] |
[
{
"from": "human",
"value": "In base 4, what is -12 - -10?"
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "What is 0.6 times 387?"
},
{
"from": "gpt",
"value": "232.2"
}
] |
[
{
"from": "human",
"value": "What is 646 minutes before 4:16 AM?"
},
{
"from": "gpt",
"value": "5:30 PM"
}
] |
[
{
"from": "human",
"value": "Let i = 24 + -19. Suppose -2*n = -2*b - 4, 4*b + 3*n + 2*n - 37 = 0. What is the least common multiple of b and i?"
},
{
"from": "gpt",
"value": "15"
}
] |
[
{
"from": "human",
"value": "Solve 0 = -5*c - 0 for c."
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "How many tonnes are there in 4.861622 grams?"
},
{
"from": "gpt",
"value": "0.000004861622"
}
] |
[
{
"from": "human",
"value": "Is 6 a factor of 954?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Calculate the greatest common divisor of 165 and 75."
},
{
"from": "gpt",
"value": "15"
}
] |
[
{
"from": "human",
"value": "Evaluate 1 + 35/(-8) - -3."
},
{
"from": "gpt",
"value": "-3/8"
}
] |
[
{
"from": "human",
"value": "What is -78 (base 9) in base 8?"
},
{
"from": "gpt",
"value": "-107"
}
] |
[
{
"from": "human",
"value": "What is next in 427, 846, 1265?"
},
{
"from": "gpt",
"value": "1684"
}
] |
[
{
"from": "human",
"value": "145 (base 9) to base 11"
},
{
"from": "gpt",
"value": "101"
}
] |
[
{
"from": "human",
"value": "What is the q'th term of 10061, 20115, 30155, 40175, 50169, 60131, 70055, 79935?"
},
{
"from": "gpt",
"value": "-q**3 - q**2 + 10064*q - 1"
}
] |
[
{
"from": "human",
"value": "What is 681 minutes before 10:08 PM?"
},
{
"from": "gpt",
"value": "10:47 AM"
}
] |
[
{
"from": "human",
"value": "Simplify ((sqrt(16)/sqrt(4) + sqrt(4) - sqrt(4))/sqrt(2))**2*-3 - (sqrt(8)/sqrt(4) + 2 + (sqrt(48)/sqrt(2))/sqrt(12))."
},
{
"from": "gpt",
"value": "-8 - 2*sqrt(2)"
}
] |
[
{
"from": "human",
"value": "Collect the terms in -36*i - 9 + 14 - 5."
},
{
"from": "gpt",
"value": "-36*i"
}
] |
[
{
"from": "human",
"value": "In base 4, what is -1 - -11?"
},
{
"from": "gpt",
"value": "10"
}
] |
[
{
"from": "human",
"value": "Determine f so that -f**5/2 - 5*f**4/2 + f**3 + 5*f**2 - f/2 - 5/2 = 0."
},
{
"from": "gpt",
"value": "-5, -1, 1"
}
] |
[
{
"from": "human",
"value": "What is 0 - (-15 - -9) - 6?"
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "Suppose j = 31 - 7. Suppose -23*u + j*u = 10. What is the highest common factor of u and 70?"
},
{
"from": "gpt",
"value": "10"
}
] |
[
{
"from": "human",
"value": "Which is the nearest to 0? (a) -4 (b) 2 (c) 7"
},
{
"from": "gpt",
"value": "b"
}
] |
[
{
"from": "human",
"value": "Let h be 8/5 - 6/(-15). Let i(v) = -v**2 + 7*v + 2. Let z be i(7). Suppose z*r = -h*r + 20. What is the remainder when 17 is divided by r?"
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "-877554 - 21"
},
{
"from": "gpt",
"value": "-877575"
}
] |
[
{
"from": "human",
"value": "296 divided by 37"
},
{
"from": "gpt",
"value": "8"
}
] |
[
{
"from": "human",
"value": "-8*(8/(-14) - (-25)/(-140))"
},
{
"from": "gpt",
"value": "6"
}
] |
[
{
"from": "human",
"value": "Which is the nearest to -1? (a) -3/5 (b) -4 (c) -21/4"
},
{
"from": "gpt",
"value": "a"
}
] |
[
{
"from": "human",
"value": "What is (48/(-16))/(-4*9/(-60))?"
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "Let m = -0.6 + 1.1. Let q = 0.8 - m. Which is the third smallest value? (a) 1 (b) q (c) 0.1"
},
{
"from": "gpt",
"value": "a"
}
] |
[
{
"from": "human",
"value": "What comes next: -83, -164, -245, -326, -407?"
},
{
"from": "gpt",
"value": "-488"
}
] |
[
{
"from": "human",
"value": "Suppose -4*f - a + 41 = -6*a, 2 = -2*f - 2*a. Solve -5*l - z = -f*z + 22, l = -3*z - 8 for l."
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "Let s = -109/3 + 36. What is the second smallest value in s, 1, 2, 1/4?"
},
{
"from": "gpt",
"value": "1/4"
}
] |
[
{
"from": "human",
"value": "In base 8, what is -123 + 126?"
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "Calculate 5 divided by -386."
},
{
"from": "gpt",
"value": "-5/386"
}
] |
[
{
"from": "human",
"value": "Rearrange b + 12*b - b + b to the form v + f*b and give f."
},
{
"from": "gpt",
"value": "13"
}
] |
[
{
"from": "human",
"value": "Does 139 divide 5421?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Factor -5*o**3 - 30*o**2 - 55*o - 30."
},
{
"from": "gpt",
"value": "-5*(o + 1)*(o + 2)*(o + 3)"
}
] |
[
{
"from": "human",
"value": "Solve 24*c - 12*c = 48 for c."
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "Is -7 bigger than -4/199?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Let p be (-1 - 3)*(-14)/(-4). Let o be (p - 2)/(-1)*2. Round o to the nearest ten."
},
{
"from": "gpt",
"value": "30.0"
}
] |
[
{
"from": "human",
"value": "Suppose -8*s + 186 = -2*s. What is the smallest common multiple of 8 and s?"
},
{
"from": "gpt",
"value": "248"
}
] |
[
{
"from": "human",
"value": "Let t = -123.1 - -118. Let c = t + 5. Is c smaller than 4?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Let a(z) be the third derivative of -17*z**6/360 + 23*z**4/24 - z**2. Let g(c) be the second derivative of a(c). Let i(f) = 2*f**2. What is g(i(d))?"
},
{
"from": "gpt",
"value": "-68*d**2"
}
] |
[
{
"from": "human",
"value": "Let m = -13 + 22. Calculate the remainder when 42 is divided by m."
},
{
"from": "gpt",
"value": "6"
}
] |
[
{
"from": "human",
"value": "Let d(w) be the third derivative of -1/40*w**6 - 4*w**2 + 0 + 0*w**5 + 0*w + 7/24*w**4 + 0*w**3. What is the second derivative of d(z) wrt z?"
},
{
"from": "gpt",
"value": "-18*z"
}
] |
[
{
"from": "human",
"value": "Sort 0.5, 0, -0.4, -0.09, -2."
},
{
"from": "gpt",
"value": "-2, -0.4, -0.09, 0, 0.5"
}
] |
[
{
"from": "human",
"value": "What is the ninth root of 61315 to the nearest integer?"
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "Let l be 2*103 - (-3)/(-3). What is the remainder when 82 is divided by l/10 + (-2)/(-4)?"
},
{
"from": "gpt",
"value": "19"
}
] |
[
{
"from": "human",
"value": "-0.03 * -0.0546"
},
{
"from": "gpt",
"value": "0.001638"
}
] |
[
{
"from": "human",
"value": "2210 divided by -130"
},
{
"from": "gpt",
"value": "-17"
}
] |
[
{
"from": "human",
"value": "Let i be 1/2*-2 - -3. Let w be (-3 - -1)*38/(-4). Let j be w/4 + 10/40. Solve 21 = 5*h + b, -h = 3*b - j*b - i for h."
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "What is the second derivative of -4*a**2*k**5 - a**2*k - 7*a**2 - 3*k**5 wrt k?"
},
{
"from": "gpt",
"value": "-80*a**2*k**3 - 60*k**3"
}
] |
[
{
"from": "human",
"value": "In base 4, what is 1 - -10313?"
},
{
"from": "gpt",
"value": "10320"
}
] |
[
{
"from": "human",
"value": "What is the third derivative of 3259*x**3 - x**2 - 538*x wrt x?"
},
{
"from": "gpt",
"value": "19554"
}
] |
[
{
"from": "human",
"value": "Simplify ((k/(k/k**(-6/11)))/k)/k*k**25*k assuming k is positive."
},
{
"from": "gpt",
"value": "k**(258/11)"
}
] |
[
{
"from": "human",
"value": "Factor -o**5/2 + 3*o**4/2 + 5*o**3 + o**2 - 9*o/2 - 5/2."
},
{
"from": "gpt",
"value": "-(o - 5)*(o - 1)*(o + 1)**3/2"
}
] |
[
{
"from": "human",
"value": "What comes next: -116, -104, -78, -32, 40, 144, 286?"
},
{
"from": "gpt",
"value": "472"
}
] |
[
{
"from": "human",
"value": "Three letters picked without replacement from {s: 2, p: 2, t: 1, n: 2, c: 3, x: 2}. Give prob of picking 2 c and 1 p."
},
{
"from": "gpt",
"value": "3/110"
}
] |
[
{
"from": "human",
"value": "In base 2, what is -110100 - -10?"
},
{
"from": "gpt",
"value": "-110010"
}
] |
[
{
"from": "human",
"value": "What is 508 minutes before 10:50 AM?"
},
{
"from": "gpt",
"value": "2:22 AM"
}
] |
[
{
"from": "human",
"value": "Find the second derivative of -h**4 - 578*h**3 - h + 272."
},
{
"from": "gpt",
"value": "-12*h**2 - 3468*h"
}
] |
[
{
"from": "human",
"value": "0.031 + 151"
},
{
"from": "gpt",
"value": "151.031"
}
] |
[
{
"from": "human",
"value": "Let c(o) = -2*o**5 + 2*o**4 - 4*o**3 + 6*o - 2. Let r(j) = 3*j**5 - 3*j**4 + 4*j**3 + j**2 - 7*j + 2. Let u(y) = -5*c(y) - 4*r(y). Find v, given that u(v) = 0."
},
{
"from": "gpt",
"value": "-1, 1"
}
] |
[
{
"from": "human",
"value": "Factor -2*z**2/3 - 10*z/3 + 16."
},
{
"from": "gpt",
"value": "-2*(z - 3)*(z + 8)/3"
}
] |
[
{
"from": "human",
"value": "Let r(t) = 3*t**3 + 8*t**2 - 9. Let o(x) = 13*x**3 + 32*x**2 + x - 36. Let l(g) = -2*o(g) + 9*r(g). What is the remainder when 12 is divided by l(-8)?"
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "Suppose -q - 3*q - 105 = -g, -4*g + 382 = 3*q. Is g a multiple of 21?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "In base 11, what is 6 - -336656?"
},
{
"from": "gpt",
"value": "336661"
}
] |
[
{
"from": "human",
"value": "What is -1.7 plus 16585?"
},
{
"from": "gpt",
"value": "16583.3"
}
] |
[
{
"from": "human",
"value": "Solve -f = 9*f - 50 for f."
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "What is next in 259, 501, 743, 985, 1227?"
},
{
"from": "gpt",
"value": "1469"
}
] |
[
{
"from": "human",
"value": "Which is the closest to -1170? (a) -2 (b) 0.4 (c) 0.1"
},
{
"from": "gpt",
"value": "a"
}
] |
[
{
"from": "human",
"value": "Convert -112 (base 4) to base 9."
},
{
"from": "gpt",
"value": "-24"
}
] |
[
{
"from": "human",
"value": "What is 1059 to the power of 1/4, to the nearest integer?"
},
{
"from": "gpt",
"value": "6"
}
] |
[
{
"from": "human",
"value": "Let w = 2.959 + 0.041. Which is the second biggest value? (a) 3/4 (b) 0 (c) w"
},
{
"from": "gpt",
"value": "a"
}
] |
[
{
"from": "human",
"value": "What is -6321000 rounded to the nearest 100000?"
},
{
"from": "gpt",
"value": "-6300000.0"
}
] |
[
{
"from": "human",
"value": "Suppose 4*y - 49 = -5*w, -2 = 4*w + 10. Let a be ((-16)/6)/(2/6). Let b = a + y. What is the units digit of b?"
},
{
"from": "gpt",
"value": "8"
}
] |
[
{
"from": "human",
"value": "What is the hundreds digit of 11081?"
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "What is the o'th term of 1261, 2523, 3797, 5089, 6405, 7751?"
},
{
"from": "gpt",
"value": "o**3 + 1255*o + 5"
}
] |
[
{
"from": "human",
"value": "Let n be ((-1)/(18/(-10)))/(3/18). Sort -2, 1/2, n."
},
{
"from": "gpt",
"value": "-2, 1/2, n"
}
] |
[
{
"from": "human",
"value": "What is the next term in 1173, 2346, 3519, 4692?"
},
{
"from": "gpt",
"value": "5865"
}
] |
[
{
"from": "human",
"value": "In base 6, what is 11543 + -3?"
},
{
"from": "gpt",
"value": "11540"
}
] |
[
{
"from": "human",
"value": "Find the common denominator of -137/36 and -51/4."
},
{
"from": "gpt",
"value": "36"
}
] |
[
{
"from": "human",
"value": "Sort 11531, -1, -5."
},
{
"from": "gpt",
"value": "-5, -1, 11531"
}
] |
[
{
"from": "human",
"value": "Suppose -3*q = q - 60. Let a = 75 - q. Let x be 4/3*(-60)/(-8). Calculate the greatest common divisor of x and a."
},
{
"from": "gpt",
"value": "10"
}
] |
[
{
"from": "human",
"value": "Solve 5*c - 35 = -3*j, -1 = -2*j - 4*c + 25 for j."
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "In base 10, what is 1 - 177?"
},
{
"from": "gpt",
"value": "-176"
}
] |
[
{
"from": "human",
"value": "-5+-193.6"
},
{
"from": "gpt",
"value": "-198.6"
}
] |
[
{
"from": "human",
"value": "Divide 1625 by -325."
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "Let w = -3 + 0. Let k = 233/154 - 1/77. What is the nearest to -0.1 in 5, w, k?"
},
{
"from": "gpt",
"value": "k"
}
] |
[
{
"from": "human",
"value": "What is 97 minutes before 3:21 PM?"
},
{
"from": "gpt",
"value": "1:44 PM"
}
] |
[
{
"from": "human",
"value": "Let o(l) be the third derivative of -l**6/720 + l**5/45 - 11*l**4/144 - 5*l**3/9 + 2*l**2 + 230*l. Let o(n) = 0. Calculate n."
},
{
"from": "gpt",
"value": "-1, 4, 5"
}
] |
[
{
"from": "human",
"value": "Suppose 238 - 250 = -3*b. Let m(t) = 4*t + t + 9 - 4*t. Let g be m(-6). Solve -d = -g*o - b*d - 12, -d = 2*o + 6 for o."
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "Factor r**2/3 - 80*r/3 - 627."
},
{
"from": "gpt",
"value": "(r - 99)*(r + 19)/3"
}
] |
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