conversations listlengths 2 2 |
|---|
[
{
"from": "human",
"value": "Which is the nearest to 0? (a) -15 (b) 0.4 (c) 5"
},
{
"from": "gpt",
"value": "b"
}
] |
[
{
"from": "human",
"value": "Which is the nearest to 0.2? (a) 0.3 (b) 2 (c) -121"
},
{
"from": "gpt",
"value": "a"
}
] |
[
{
"from": "human",
"value": "Let c be 2/(-8) - 66/(-8). Let a = c - 6. Solve -a*x - 5 - 3 = -b, 5*x + 20 = -2*b for x."
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "Solve 7*u**5/6 + 8*u**4/3 - u**3/2 - 8*u**2/3 - 2*u/3 = 0 for u."
},
{
"from": "gpt",
"value": "-2, -1, -2/7, 0, 1"
}
] |
[
{
"from": "human",
"value": "(-3743)/4728 + -1 + 9/8"
},
{
"from": "gpt",
"value": "-2/3"
}
] |
[
{
"from": "human",
"value": "What is next in -17, -90, -193, -308, -417, -502, -545?"
},
{
"from": "gpt",
"value": "-528"
}
] |
[
{
"from": "human",
"value": "Let j = -2/805 + -26549/6440. What is the common denominator of 97/12 and j?"
},
{
"from": "gpt",
"value": "24"
}
] |
[
{
"from": "human",
"value": "Evaluate 4 - (-1 - ((0 - 0) + -5))."
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "Suppose 4*i + 1 = -15. What is the remainder when 22 is divided by i + 6 - 6/(-1)?"
},
{
"from": "gpt",
"value": "6"
}
] |
[
{
"from": "human",
"value": "Factor -5*d**2/6 + 55*d/6 - 25."
},
{
"from": "gpt",
"value": "-5*(d - 6)*(d - 5)/6"
}
] |
[
{
"from": "human",
"value": "Calculate prob of picking 1 h and 1 r when two letters picked without replacement from grhhggggrrgrg."
},
{
"from": "gpt",
"value": "4/39"
}
] |
[
{
"from": "human",
"value": "What is the common denominator of -107/12 and 131/78367050?"
},
{
"from": "gpt",
"value": "156734100"
}
] |
[
{
"from": "human",
"value": "Solve -2*a = -2*q - 0*a + 2, -5*a - 1 = -4*q for q."
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "What is 4 less than 1.36549?"
},
{
"from": "gpt",
"value": "-2.63451"
}
] |
[
{
"from": "human",
"value": "What is the hundred thousands digit of 130682230?"
},
{
"from": "gpt",
"value": "6"
}
] |
[
{
"from": "human",
"value": "What is the t'th term of 526, 1051, 1578, 2107, 2638, 3171?"
},
{
"from": "gpt",
"value": "t**2 + 522*t + 3"
}
] |
[
{
"from": "human",
"value": "Calculate the lowest common multiple of 76 and 24."
},
{
"from": "gpt",
"value": "456"
}
] |
[
{
"from": "human",
"value": "Let q be (-1)/1*(-1)/1. Let u be q/((-2)/3 + 1). Suppose 8*x - 95 = u*x. List the prime factors of x."
},
{
"from": "gpt",
"value": "19"
}
] |
[
{
"from": "human",
"value": "Let c = 31 - -17. Let h = -21 + c. Calculate the highest common divisor of h and 9."
},
{
"from": "gpt",
"value": "9"
}
] |
[
{
"from": "human",
"value": "Does 2 = 20/13?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Solve n - 4*k = -7, 6*n + 19 = n + 4*k for n."
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "Let t(w) = 2*w**3 + 3*w + 3. Let r(x) = 3*x**3 + x - 2. Let u be r(2). Suppose -3*d = d - u. Let s(i) = -3*i**3 - 5*i - 5. Determine d*s(j) + 10*t(j)."
},
{
"from": "gpt",
"value": "2*j**3"
}
] |
[
{
"from": "human",
"value": "Work out -9.72 * 5."
},
{
"from": "gpt",
"value": "-48.6"
}
] |
[
{
"from": "human",
"value": "Simplify -1 + 2 + 4*(sqrt(320) + -2 + sqrt(320))."
},
{
"from": "gpt",
"value": "-7 + 64*sqrt(5)"
}
] |
[
{
"from": "human",
"value": "Suppose 0 = -5*y - 1205 + 5160. Is y composite?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "What is prob of sequence ccpe when four letters picked without replacement from {c: 8, e: 1, p: 2, r: 2}?"
},
{
"from": "gpt",
"value": "14/2145"
}
] |
[
{
"from": "human",
"value": "What is (-3)/3*((-6)/(-2))/1?"
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "What is the x'th term of 55, 115, 179, 247, 319, 395, 475?"
},
{
"from": "gpt",
"value": "2*x**2 + 54*x - 1"
}
] |
[
{
"from": "human",
"value": "Calculate -712 divided by -4."
},
{
"from": "gpt",
"value": "178"
}
] |
[
{
"from": "human",
"value": "Add 16595612162 and -318."
},
{
"from": "gpt",
"value": "16595611844"
}
] |
[
{
"from": "human",
"value": "How many millimeters are there in 90.57312um?"
},
{
"from": "gpt",
"value": "0.09057312"
}
] |
[
{
"from": "human",
"value": "Let b(c) = 1 - c. Let u be b(1). Let s(k) = k**3 + 4*k**2 - 3*k + 7. Let q be s(-5). Let i be 37/(-7) - (-2)/7. Put u, i, q in increasing order."
},
{
"from": "gpt",
"value": "i, q, u"
}
] |
[
{
"from": "human",
"value": "What is the next term in 769, 771, 773, 775, 777, 779?"
},
{
"from": "gpt",
"value": "781"
}
] |
[
{
"from": "human",
"value": "Let h = 0.28 - -0.02. What is the closest to -3/7 in h, -4, 0.4?"
},
{
"from": "gpt",
"value": "h"
}
] |
[
{
"from": "human",
"value": "How many months are there in 29/6 of a year?"
},
{
"from": "gpt",
"value": "58"
}
] |
[
{
"from": "human",
"value": "-220 divided by 10"
},
{
"from": "gpt",
"value": "-22"
}
] |
[
{
"from": "human",
"value": "Let i(u) = -u**2 - 10*u. Let d be i(-10). Solve d = -2*b - 0*b for b."
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "In base 12, what is 125 + -42?"
},
{
"from": "gpt",
"value": "a3"
}
] |
[
{
"from": "human",
"value": "Let m(g) = 11*g**2 + 3*g + 3. Let p be m(6). Suppose -p = l - 137. Find the common denominator of 145/2*(-8)/l and 127/42."
},
{
"from": "gpt",
"value": "42"
}
] |
[
{
"from": "human",
"value": "What is the next term in 13, 65, 151, 271, 425, 613?"
},
{
"from": "gpt",
"value": "835"
}
] |
[
{
"from": "human",
"value": "Let d = -6 - -8. Let r be 4/14 - 10/(-14). Which is the nearest to r? (a) -0.4 (b) 2/9 (c) d"
},
{
"from": "gpt",
"value": "b"
}
] |
[
{
"from": "human",
"value": "(-4)/(12/9)*50/(-30)"
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "What is 943a (base 13) in base 14?"
},
{
"from": "gpt",
"value": "7682"
}
] |
[
{
"from": "human",
"value": "Suppose -3*z = z + 4. Let l be (-1 - z) + 20/50. Which is the second smallest value? (a) 1 (b) l (c) -4/9"
},
{
"from": "gpt",
"value": "b"
}
] |
[
{
"from": "human",
"value": "Let g = 2 - -3. What is the remainder when -10*g/(-1) - 1 is divided by 13?"
},
{
"from": "gpt",
"value": "10"
}
] |
[
{
"from": "human",
"value": "Is 16 a factor of 4*(-4 - -6 - -14)?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Let p(t) = 6*t**2 + 2*t. Let r be p(-1). Which is the nearest to -1? (a) r (b) -4/5 (c) 3"
},
{
"from": "gpt",
"value": "b"
}
] |
[
{
"from": "human",
"value": "Solve -10*w = -3*w - 7 for w."
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "What is the third smallest value in -0.3, 1/5, -6/11, 652, -0.05?"
},
{
"from": "gpt",
"value": "-0.05"
}
] |
[
{
"from": "human",
"value": "What is the s'th term of -9, -4, 11, 42, 95, 176, 291?"
},
{
"from": "gpt",
"value": "s**3 - s**2 + s - 10"
}
] |
[
{
"from": "human",
"value": "Express (4*c + 3*c - 5*c)*(-c - 4*c + 4*c)*(28 - 28 + 3*c)*(3 - 2 - 3) as g*c**2 + w*c**3 + t + r*c and give w."
},
{
"from": "gpt",
"value": "12"
}
] |
[
{
"from": "human",
"value": "Work out -514 * 0.04."
},
{
"from": "gpt",
"value": "-20.56"
}
] |
[
{
"from": "human",
"value": "Solve -36 = -b - 11*b for b."
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "Simplify 1*(sqrt(637) + 1)."
},
{
"from": "gpt",
"value": "1 + 7*sqrt(13)"
}
] |
[
{
"from": "human",
"value": "Find the second derivative of 3*c**2*l**4 + 175*c**2*l - 9*c*l**2 + l**4 wrt l."
},
{
"from": "gpt",
"value": "36*c**2*l**2 - 18*c + 12*l**2"
}
] |
[
{
"from": "human",
"value": "Which is the closest to 2/5? (a) -1/108 (b) 0.4 (c) -0.1"
},
{
"from": "gpt",
"value": "b"
}
] |
[
{
"from": "human",
"value": "Let r be (1 + (-11)/5)*1/(-6). Factor 0*b - r*b**2 + 0."
},
{
"from": "gpt",
"value": "-b**2/5"
}
] |
[
{
"from": "human",
"value": "Put -2/79, 2, -0.9 in decreasing order."
},
{
"from": "gpt",
"value": "2, -2/79, -0.9"
}
] |
[
{
"from": "human",
"value": "Let s = 0.365 + 4.575. Let v = s - -0.06. Let p = -331/90 - -39/10. Which is the nearest to -2/9? (a) p (b) -4 (c) v"
},
{
"from": "gpt",
"value": "a"
}
] |
[
{
"from": "human",
"value": "Let z = -576839 + 11532121/20. Let g be (-2)/(45/(-3552)*(-2)/(-3)). Let k = g + z. Find the common denominator of 85/14 and k."
},
{
"from": "gpt",
"value": "140"
}
] |
[
{
"from": "human",
"value": "Is 25231 prime?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Express -1 - 5*s - s - 8*s + 17*s - 2*s**2 in the form b + t*s + a*s**2 and give a."
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "Let k be (2/3)/((-35)/(-21)). Put k, -0.2, -0.03 in ascending order."
},
{
"from": "gpt",
"value": "-0.2, -0.03, k"
}
] |
[
{
"from": "human",
"value": "What comes next: 21, 43, 79, 129, 193?"
},
{
"from": "gpt",
"value": "271"
}
] |
[
{
"from": "human",
"value": "-141 (base 5) to base 8"
},
{
"from": "gpt",
"value": "-56"
}
] |
[
{
"from": "human",
"value": "Suppose 4*u = 2*u + 8. Let d = u + -2. Let n(h) = -h**2 - 6*h - 3. Let s be n(-5). Solve -s*v = -3*v + 3*j + 7, 3*j = -d*v - 22 for v."
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "What is the x'th term of -120, -240, -360, -480?"
},
{
"from": "gpt",
"value": "-120*x"
}
] |
[
{
"from": "human",
"value": "Let d be 1/(2/(-12)*-2). Let f = 1045 - 1033. Solve d*a - f = -0 for a."
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "What is the second derivative of -401*g**2*h**3*m*u**2 - g**2*h**2*u**3 - 8*g*h*m + 145*h**3*m*u**3 - h**2*m*u**2 + 2*h*m*u**3 wrt g?"
},
{
"from": "gpt",
"value": "-802*h**3*m*u**2 - 2*h**2*u**3"
}
] |
[
{
"from": "human",
"value": "What is the square root of 91 to the nearest integer?"
},
{
"from": "gpt",
"value": "10"
}
] |
[
{
"from": "human",
"value": "Sort 18, -1.6, 1, -1 in increasing order."
},
{
"from": "gpt",
"value": "-1.6, -1, 1, 18"
}
] |
[
{
"from": "human",
"value": "What is ((-12)/2)/(14/1)?"
},
{
"from": "gpt",
"value": "-3/7"
}
] |
[
{
"from": "human",
"value": "What are the prime factors of 541?"
},
{
"from": "gpt",
"value": "541"
}
] |
[
{
"from": "human",
"value": "What is the v'th term of 23, 36, 41, 32, 3, -52, -139, -264?"
},
{
"from": "gpt",
"value": "-v**3 + 2*v**2 + 14*v + 8"
}
] |
[
{
"from": "human",
"value": "Is 3225268 a multiple of 59?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Solve -27*s = -29*s - 2 for s."
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "Does 14 divide 1157?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Solve 0 = -10*n - 35 + 35 for n."
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "(-3)/39*416/(-64)*16"
},
{
"from": "gpt",
"value": "8"
}
] |
[
{
"from": "human",
"value": "What is the units digit of 767?"
},
{
"from": "gpt",
"value": "7"
}
] |
[
{
"from": "human",
"value": "Let i = -2 - -4. Let k be (6/18)/(i/12). Solve -k*s - 3 = -5*s for s."
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "What is the third root of 4026 to the nearest integer?"
},
{
"from": "gpt",
"value": "16"
}
] |
[
{
"from": "human",
"value": "Multiply 5 and -0.05958."
},
{
"from": "gpt",
"value": "-0.2979"
}
] |
[
{
"from": "human",
"value": "What is v in -3*v**4 - 54*v**3 - 135*v**2 = 0?"
},
{
"from": "gpt",
"value": "-15, -3, 0"
}
] |
[
{
"from": "human",
"value": "Let z = 3 + -2. Suppose -3*n - 3 - 9 = 0. Let a be -2*(z + 6/n). Solve -5*w - 4 - a = 0 for w."
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "Evaluate (-16)/(-6)*8/160."
},
{
"from": "gpt",
"value": "2/15"
}
] |
[
{
"from": "human",
"value": "What is the second derivative of -9*f**2*g*x**2 + 10*f**2*g*x - f**2*g - 42*g**3*x**2 + 7*g**3 - 4*g*x wrt x?"
},
{
"from": "gpt",
"value": "-18*f**2*g - 84*g**3"
}
] |
[
{
"from": "human",
"value": "How many years are there in one twentieth of a millennium?"
},
{
"from": "gpt",
"value": "50"
}
] |
[
{
"from": "human",
"value": "What is 578 minutes after 11:13 PM?"
},
{
"from": "gpt",
"value": "8:51 AM"
}
] |
[
{
"from": "human",
"value": "What is the lowest common multiple of 1152 and 2544?"
},
{
"from": "gpt",
"value": "61056"
}
] |
[
{
"from": "human",
"value": "Round 46538000 to the nearest one hundred thousand."
},
{
"from": "gpt",
"value": "46500000.0"
}
] |
[
{
"from": "human",
"value": "Solve 0 = -2*h - 6*h + 4*h for h."
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "Is 853 a composite number?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "How many months are there in 21/4 of a millennium?"
},
{
"from": "gpt",
"value": "63000"
}
] |
[
{
"from": "human",
"value": "Convert -22 (base 6) to base 13."
},
{
"from": "gpt",
"value": "-11"
}
] |
[
{
"from": "human",
"value": "Calculate (((-80)/(-6))/5)/6."
},
{
"from": "gpt",
"value": "4/9"
}
] |
[
{
"from": "human",
"value": "Solve 12 = 5*a - 3*o + 5*o, 2*a - 2*o - 16 = 0 for a."
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "Is 230423 composite?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Solve -7 + 3 = 4*j for j."
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "Suppose 24 = d + 3*j, 5*d - 5*j = -2*j + 174. Solve 5*f - 5*t - d = 17, f - 3*t = 20 for f."
},
{
"from": "gpt",
"value": "5"
}
] |
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