conversations listlengths 2 2 |
|---|
[
{
"from": "human",
"value": "Calculate the remainder when 21345 is divided by 14."
},
{
"from": "gpt",
"value": "9"
}
] |
[
{
"from": "human",
"value": "Let p be (0/2)/(1 + -2). Suppose p*z + 4*z = 0. Let y be 2 + 12 + (z - -1). Solve -3*o + y = 3 for o."
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "Calculate 977881 - 0.2."
},
{
"from": "gpt",
"value": "977880.8"
}
] |
[
{
"from": "human",
"value": "What is 17236 to the power of 1/6, to the nearest integer?"
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "Simplify -2*(sqrt(1872) - (-3 + sqrt(1872)) - (2 + (sqrt(78)/sqrt(6) + -2 - sqrt(13))))."
},
{
"from": "gpt",
"value": "-6"
}
] |
[
{
"from": "human",
"value": "-1*-4*(-5)/(-100)"
},
{
"from": "gpt",
"value": "1/5"
}
] |
[
{
"from": "human",
"value": "Solve 1 = -7*r + 15 for r."
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "Let x(o) = -o**2 - 9*o + 14. Let s be x(-10). Suppose 0 = -11*b - s*b. Suppose b = -3*c, h - 3 = 3*c + 17. Solve h = -5*g - 5 for g."
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "Calculate (((-72)/(-56))/(-9)*-7)/5."
},
{
"from": "gpt",
"value": "1/5"
}
] |
[
{
"from": "human",
"value": "Let u(z) = 281 - 7*z. Calculate u(41)."
},
{
"from": "gpt",
"value": "-6"
}
] |
[
{
"from": "human",
"value": "Let a(s) = s**3 - s**2 - s + 8. Let c be a(0). Solve -3*q = -t - 4, 5*t + c = 3*q - 0*t for q."
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "What is 1.813 minus -0.08?"
},
{
"from": "gpt",
"value": "1.893"
}
] |
[
{
"from": "human",
"value": "Collect the terms in 30 - 103*x**3 - 30."
},
{
"from": "gpt",
"value": "-103*x**3"
}
] |
[
{
"from": "human",
"value": "What is the derivative of 1746*d**3 + 901 wrt d?"
},
{
"from": "gpt",
"value": "5238*d**2"
}
] |
[
{
"from": "human",
"value": "Calculate -532*-3."
},
{
"from": "gpt",
"value": "1596"
}
] |
[
{
"from": "human",
"value": "Calculate 13/20 + 2*(-1)/5."
},
{
"from": "gpt",
"value": "1/4"
}
] |
[
{
"from": "human",
"value": "Let h(n) = 37*n**2. Let w(s) = s + 10*s**2 - 11*s**2 - s. Determine h(w(q))."
},
{
"from": "gpt",
"value": "37*q**4"
}
] |
[
{
"from": "human",
"value": "Let i be (-3)/(-12)*2*4. Suppose 5*o - 3*l - 14 = l, 4*l - 28 = -i*o. What is the units digit of o?"
},
{
"from": "gpt",
"value": "6"
}
] |
[
{
"from": "human",
"value": "Solve -454 + 438 = 4*p for p."
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "Let y be (-6)/(-10)*(-5)/(-2). Let p be ((-6)/(-8))/(1/(-4)). Suppose 0*v - 4 = -4*v. What is the nearest to 2 in v, p, y?"
},
{
"from": "gpt",
"value": "y"
}
] |
[
{
"from": "human",
"value": "Solve 3*d**2/2 - 129*d/2 + 123 = 0 for d."
},
{
"from": "gpt",
"value": "2, 41"
}
] |
[
{
"from": "human",
"value": "Find the third derivative of 39*k**2*u**4 + 173*k**2*u + 16*k*u**4 + k*u**2 + 3*u**3 + 2*u**2 wrt u."
},
{
"from": "gpt",
"value": "936*k**2*u + 384*k*u + 18"
}
] |
[
{
"from": "human",
"value": "Factor -a**2 + 78*a - 737."
},
{
"from": "gpt",
"value": "-(a - 67)*(a - 11)"
}
] |
[
{
"from": "human",
"value": "Let c = -1 + 0. Let m = -4 - c. Let x be 3/6*-14 - m. Are -3 and x equal?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Rearrange -2*i - 4*i + 4 - 319 + 8*i to s*i + l and give s."
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "Let m = -26 + 61. Solve -3*f + m = -4*z, 0*z = f + z for f."
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "What is the next term in 7, 17, 35, 61, 95?"
},
{
"from": "gpt",
"value": "137"
}
] |
[
{
"from": "human",
"value": "Factor 2*r**5/9 + 1418*r**4/9 + 250630*r**3/9 - 252050*r**2/9."
},
{
"from": "gpt",
"value": "2*r**2*(r - 1)*(r + 355)**2/9"
}
] |
[
{
"from": "human",
"value": "Let n be 0/(-3)*(3 - 2). Solve n = -2*y - 9 - 1 for y."
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "Let k(c) = -4*c - 1. Let h be k(-1). Solve h*v = 3*s + 21, 2*v - 5*s + 3 = 23 for v."
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "Evaluate -8 + -2 + 12 + (-3 - -1)."
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "What comes next: 53, 109, 163, 215, 265, 313, 359?"
},
{
"from": "gpt",
"value": "403"
}
] |
[
{
"from": "human",
"value": "What is the highest common divisor of 2160 and 27?"
},
{
"from": "gpt",
"value": "27"
}
] |
[
{
"from": "human",
"value": "Let s be (-72)/(-2)*6/9. Suppose -z = -5*z - s. Let k = -10 - -5. Is k <= z?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "What is (-5 + 3 + 1 - 0) + (-130 - -136)?"
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "Solve 0 = -16*l + 56 - 8 for l."
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "What is the next term in -1803, -3607, -5411, -7215, -9019, -10823?"
},
{
"from": "gpt",
"value": "-12627"
}
] |
[
{
"from": "human",
"value": "Calculate the least common multiple of 14 and 6."
},
{
"from": "gpt",
"value": "42"
}
] |
[
{
"from": "human",
"value": "Sort -7, 23, 5 in increasing order."
},
{
"from": "gpt",
"value": "-7, 5, 23"
}
] |
[
{
"from": "human",
"value": "Solve -29*o - 2*r + 1 = -28*o, 2*o + 3*r - 4 = 0 for o."
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "Differentiate -25*b**3*x + b**3 + 17*b*x - 4*b - 2*x + 380 wrt x."
},
{
"from": "gpt",
"value": "-25*b**3 + 17*b - 2"
}
] |
[
{
"from": "human",
"value": "Which is bigger: 79 or 1.5?"
},
{
"from": "gpt",
"value": "79"
}
] |
[
{
"from": "human",
"value": "Solve -5*h - 51 = -61 for h."
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "Let w = -21 - -24. Solve 0 = z + w*z for z."
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "Simplify ((p/p**(1/7)*p)/((p*p*(p*p**(2/3)*p)/p*p*p)/p))/(p**(-2/13)/p**(-4)) assuming p is positive."
},
{
"from": "gpt",
"value": "p**(-1817/273)"
}
] |
[
{
"from": "human",
"value": "Simplify -1*(sqrt(252) + (sqrt(252) - ((sqrt(252) + -3)**2 + sqrt(252)))*6)."
},
{
"from": "gpt",
"value": "1566 - 222*sqrt(7)"
}
] |
[
{
"from": "human",
"value": "What is 3110 to the power of 1/3, to the nearest integer?"
},
{
"from": "gpt",
"value": "15"
}
] |
[
{
"from": "human",
"value": "Factor -2*g**4/5 - 1184*g**3/5 - 262848*g**2/5 - 25934336*g/5 - 959570432/5."
},
{
"from": "gpt",
"value": "-2*(g + 148)**4/5"
}
] |
[
{
"from": "human",
"value": "Solve -27*s = -96 - 39 for s."
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "Simplify -2 + 1 + sqrt(13) + -5 + sqrt(143)/sqrt(99)."
},
{
"from": "gpt",
"value": "-6 + 4*sqrt(13)/3"
}
] |
[
{
"from": "human",
"value": "Let j be -4*(3/(-4) - 0). Let k(n) = -n**2 + 4*n - 7. Let p be k(5). Let w = p - -7. Put 2, w, j in increasing order."
},
{
"from": "gpt",
"value": "w, 2, j"
}
] |
[
{
"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": "Expand (2 + 3 - 2)*(-4*m**3 - 4*m**3 + 14*m**3 + 2*m**3 - 3 + 3 + (0*m + m**2 + 0*m)*(-m + 4*m - 2*m) + 3 - 3 + m**3 + 4*m**3 + m**3 - 3*m**3)."
},
{
"from": "gpt",
"value": "36*m**3"
}
] |
[
{
"from": "human",
"value": "Let p(c) be the first derivative of 11*c**5/5 - 2*c**3 + 4. What is the third derivative of p(v) wrt v?"
},
{
"from": "gpt",
"value": "264*v"
}
] |
[
{
"from": "human",
"value": "Let z(a) be the first derivative of 2*a**5/55 + 2*a**4/11 + 4*a**3/11 + 4*a**2/11 + 2*a/11 + 7. Factor z(s)."
},
{
"from": "gpt",
"value": "2*(s + 1)**4/11"
}
] |
[
{
"from": "human",
"value": "Let r be 2 - (1 - -1) - 3. Let x be (1 + 2 + -4)*r. Suppose 3*n = x*h - h - 7, -3*n = h - 17. Solve -h = -f - f for f."
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "Is 243 > -6?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "In base 5, what is 1111 - 3?"
},
{
"from": "gpt",
"value": "1103"
}
] |
[
{
"from": "human",
"value": "Divide 161 by 161."
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "Does 372 divide 85585668?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Let y(i) = i**3 - i**2 + i - 10. Let h be y(0). Let t = -9 - h. Suppose -j = -t - 3. List the prime factors of j."
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "Calculate 0.0053*0.2."
},
{
"from": "gpt",
"value": "0.00106"
}
] |
[
{
"from": "human",
"value": "What is the third derivative of 6*j**6 - j**2 + j**6 - 3*j**6 - 3*j**2 wrt j?"
},
{
"from": "gpt",
"value": "480*j**3"
}
] |
[
{
"from": "human",
"value": "Let u(h) = h**3 - 3*h**2 - 6*h + 5. Let o be u(4). Let x = -5 + 0. Let l = x + 6. Sort l, 5, o in decreasing order."
},
{
"from": "gpt",
"value": "5, l, o"
}
] |
[
{
"from": "human",
"value": "In base 7, what is 1 - 644?"
},
{
"from": "gpt",
"value": "-643"
}
] |
[
{
"from": "human",
"value": "Suppose -5*h + 17 = 12. Which is greater: -3/22 or h?"
},
{
"from": "gpt",
"value": "h"
}
] |
[
{
"from": "human",
"value": "What is the nearest to -1/7 in -0.6, 2/3, 0.4?"
},
{
"from": "gpt",
"value": "-0.6"
}
] |
[
{
"from": "human",
"value": "What is the square root of 8101 to the nearest integer?"
},
{
"from": "gpt",
"value": "90"
}
] |
[
{
"from": "human",
"value": "Expand (7 + 5*d - 7)*(1 - 4 + 2) + 2*d + 0*d - 3*d."
},
{
"from": "gpt",
"value": "-6*d"
}
] |
[
{
"from": "human",
"value": "(1/(-9))/(((-8)/4)/6)"
},
{
"from": "gpt",
"value": "1/3"
}
] |
[
{
"from": "human",
"value": "Subtract 0.4 from -547."
},
{
"from": "gpt",
"value": "-547.4"
}
] |
[
{
"from": "human",
"value": "How many minutes are there between 12:27 AM and 10:34 AM?"
},
{
"from": "gpt",
"value": "607"
}
] |
[
{
"from": "human",
"value": "Let y(c) = -c**3 + 15*c**2 - 13*c - 12. Let g be y(14). Solve 4*k + 5*t = 14, -g*t + 4 = 2*k - t for k."
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "Suppose 3*a - 6 = 3*v, 0*a = 5*v + 5*a - 10. Suppose -5*s + 3 + 12 = v. Suppose s*c = -p - 2*c - 21, 2*p = c + 13. Solve r + 2*d = d - 8, -3*r + p = -4*d for r."
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "Factor 5*l**3 + 595*l**2 - 3705*l + 5625."
},
{
"from": "gpt",
"value": "5*(l - 3)**2*(l + 125)"
}
] |
[
{
"from": "human",
"value": "Collect the terms in 3 + 2560*d**2 - 3 - 2567*d**2."
},
{
"from": "gpt",
"value": "-7*d**2"
}
] |
[
{
"from": "human",
"value": "Suppose -5*x = -2*r + 53, 3*x + 2*r = -0*x - 19. Let a = x + -18. Let z be (-6)/4*36/a. Solve -4*n + 16 = -5*o, 5*n - z + 11 = -o for o."
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "What are the prime factors of 18266?"
},
{
"from": "gpt",
"value": "2, 9133"
}
] |
[
{
"from": "human",
"value": "What is the closest to 210 in 1/5, 2, -2, -4?"
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "What is the n'th term of 217, 229, 241, 253?"
},
{
"from": "gpt",
"value": "12*n + 205"
}
] |
[
{
"from": "human",
"value": "What is the cube root of 32153 to the nearest integer?"
},
{
"from": "gpt",
"value": "32"
}
] |
[
{
"from": "human",
"value": "Find the third derivative of 13*d**6*k**2 + 8*d**4*k**2 + 30*d**2*k**2 + 6*k**2 wrt d."
},
{
"from": "gpt",
"value": "1560*d**3*k**2 + 192*d*k**2"
}
] |
[
{
"from": "human",
"value": "Let w(d) = -3*d - 13. Let h be w(-7). Suppose -3*a - h = -s, -2*a - 4 = -2. Solve -2*p = 1 + s for p."
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "What is next in -4493, -4501, -4507, -4511, -4513?"
},
{
"from": "gpt",
"value": "-4513"
}
] |
[
{
"from": "human",
"value": "What is the third derivative of -2*c**5 + 238 - 238 - 13*c**2 wrt c?"
},
{
"from": "gpt",
"value": "-120*c**2"
}
] |
[
{
"from": "human",
"value": "Let z(u) = 5*u + 25. Let s be z(-4). Solve -s*l + 16 = -4 for l."
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "What is ((-2)/24)/((-12)/72)?"
},
{
"from": "gpt",
"value": "1/2"
}
] |
[
{
"from": "human",
"value": "Which is bigger: 17/78 or 1?"
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "Let h(u) be the third derivative of -u**6/30 + u**5/15 + u**4/6 - 2*u**3/3 + 7*u**2. Solve h(i) = 0."
},
{
"from": "gpt",
"value": "-1, 1"
}
] |
[
{
"from": "human",
"value": "What is the third derivative of 4*z**4 - 6*z**3 - 11*z**2 + 8 wrt z?"
},
{
"from": "gpt",
"value": "96*z - 36"
}
] |
[
{
"from": "human",
"value": "Factor l**2 + 4*l - 45."
},
{
"from": "gpt",
"value": "(l - 5)*(l + 9)"
}
] |
[
{
"from": "human",
"value": "Determine n so that -5*n**2 - 10*n + 15 = 0."
},
{
"from": "gpt",
"value": "-3, 1"
}
] |
[
{
"from": "human",
"value": "Solve 0 = 4*p + 5*t - 10, 2*p - 7*p - 3*t = -6 for p."
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "What is the value of (0 - 5)*(21 + -20)?"
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "Let g(z) = 2*z**2 + 2*z. What is g(1)?"
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "What is next in -3045, -3020, -2987, -2946, -2897, -2840?"
},
{
"from": "gpt",
"value": "-2775"
}
] |
[
{
"from": "human",
"value": "What is 814 to the power of 1/5, to the nearest integer?"
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "How many millilitres are there in 0.9723715 litres?"
},
{
"from": "gpt",
"value": "972.3715"
}
] |
[
{
"from": "human",
"value": "Evaluate 4/13*(-3120)/(-96)."
},
{
"from": "gpt",
"value": "10"
}
] |
[
{
"from": "human",
"value": "Solve 69*o + 48 = 57*o for o."
},
{
"from": "gpt",
"value": "-4"
}
] |
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