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[ { "from": "human", "value": "What is the m'th term of -30, -70, -152, -288, -490, -770, -1140?" }, { "from": "gpt", "value": "-2*m**3 - 9*m**2 + m - 20" } ]
[ { "from": "human", "value": "Simplify (sqrt(36)/(sqrt(36)/sqrt(4)))/(sqrt(20)/(sqrt(40) - sqrt(10)))." }, { "from": "gpt", "value": "sqrt(2)" } ]
[ { "from": "human", "value": "Let d(o) = 27*o**3 - 16*o**2 + 6*o - 1. Let l be d(-1). Sort l, -1, 3, -6 in descending order." }, { "from": "gpt", "value": "3, -1, -6, l" } ]
[ { "from": "human", "value": "What is -1 divided by -1308?" }, { "from": "gpt", "value": "1/1308" } ]
[ { "from": "human", "value": "In base 15, what is -2 - -13?" }, { "from": "gpt", "value": "11" } ]
[ { "from": "human", "value": "What is the t'th term of 124, 136, 162, 208, 280, 384?" }, { "from": "gpt", "value": "t**3 + t**2 + 2*t + 120" } ]
[ { "from": "human", "value": "Solve u**2/4 + 13*u + 169 = 0 for u." }, { "from": "gpt", "value": "-26" } ]
[ { "from": "human", "value": "Let m = 833/8 + -104. Which is the nearest to 0.1? (a) m (b) 2 (c) -6/7" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Suppose -2*m - 5 = -3*m. Solve -4*s + m = s for s." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Let m(c) be the first derivative of -5*c**4 - 5*c + 21. Find the first derivative of m(p) wrt p." }, { "from": "gpt", "value": "-60*p**2" } ]
[ { "from": "human", "value": "Calculate ((-9)/2)/(-98 + 83)." }, { "from": "gpt", "value": "3/10" } ]
[ { "from": "human", "value": "Let d(y) be the second derivative of y**8/210 + y**7/60 + y**6/90 - y**5/60 + y**3/3 - 4*y. Let m(b) be the second derivative of d(b). Factor m(t)." }, { "from": "gpt", "value": "2*t*(t + 1)**2*(4*t - 1)" } ]
[ { "from": "human", "value": "Let u be (-6)/(-4)*4/3. Let x(q) = -2 - 7*q**u - 2*q**3 + 7*q + q**3 - 3. Let g be x(-8). Solve g - 1 = m for m." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "How many months are there in eight thirds of a year?" }, { "from": "gpt", "value": "32" } ]
[ { "from": "human", "value": "Let p(i) be the third derivative of 1/20*i**5 - 1/112*i**8 + 0*i**3 + 0*i**4 + 0*i**7 + 0 + 0*i + 2*i**2 + 0*i**6. Find the third derivative of p(w) wrt w." }, { "from": "gpt", "value": "-180*w**2" } ]
[ { "from": "human", "value": "Simplify (sqrt(65) - (sqrt(65) - (sqrt(65) - (sqrt(65) + sqrt(65)*-2)*-3)))/(sqrt(320) - sqrt(320)*-1)." }, { "from": "gpt", "value": "-sqrt(13)/8" } ]
[ { "from": "human", "value": "Sort 0, 6, -3, -1 in decreasing order." }, { "from": "gpt", "value": "6, 0, -1, -3" } ]
[ { "from": "human", "value": "Subtract 0.4 from -11.43." }, { "from": "gpt", "value": "-11.83" } ]
[ { "from": "human", "value": "Let x(k) = 4*k**2 - 2*k - 5. Is x(7) prime?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Is 70 != 90?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Solve 2*y = -2*t - 22, -2*y - 54 = -t - 50 for y." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "What is prob of sequence nnn when three letters picked without replacement from {q: 7, n: 5}?" }, { "from": "gpt", "value": "1/22" } ]
[ { "from": "human", "value": "What is -340 divided by 17?" }, { "from": "gpt", "value": "-20" } ]
[ { "from": "human", "value": "Suppose -5*n + 504 = 4*v, -2*n - v + 126 = -75. Calculate the greatest common factor of n and 40." }, { "from": "gpt", "value": "20" } ]
[ { "from": "human", "value": "Let x(l) = -l**3 + 7*l**2 + 2*l - 9. Let v be x(7). Let h(z) = 5 + z**3 - 7 + 3*z - 2*z**2 + 0*z**2. Let a be h(2). Sort -2, v, a in increasing order." }, { "from": "gpt", "value": "-2, a, v" } ]
[ { "from": "human", "value": "What is the z'th term of -95, -191, -299, -425, -575, -755, -971, -1229?" }, { "from": "gpt", "value": "-z**3 - 89*z - 5" } ]
[ { "from": "human", "value": "What is the remainder when 3109 is divided by 27?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Round 0.001812 to 3 decimal places." }, { "from": "gpt", "value": "0.002" } ]
[ { "from": "human", "value": "Convert 11021 (base 3) to base 2." }, { "from": "gpt", "value": "1110011" } ]
[ { "from": "human", "value": "What is -5 times -2.1?" }, { "from": "gpt", "value": "10.5" } ]
[ { "from": "human", "value": "Solve 0 = 3*d - 4*c + 23, -3*c + 14 = -4*d - c for d." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Which is smaller: -2134 or -10672/5?" }, { "from": "gpt", "value": "-10672/5" } ]
[ { "from": "human", "value": "Which is the fourth smallest value? (a) -3 (b) 0 (c) -1/4 (d) -0.2" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Suppose 1 + 6 = -o. Let i(h) = -h**3 - 8*h**2 - 7*h + 3. Let b be i(o). Suppose -3*r = -2*r - 6. Solve b = 3*d - r for d." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Which is the nearest to -3/8? (a) -2/17 (b) 0.6 (c) -3/2 (d) -0.2" }, { "from": "gpt", "value": "d" } ]
[ { "from": "human", "value": "What is the units digit of 48876?" }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "Suppose -47 = -3*l - t, -48 = -4*l - 2*t - 3*t. Is (3 + l/4)*8 a composite number?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What is the third derivative of -13*f**2*u**4 + 9*f**2*u**3 - 5*f**2*u - f**2 - 4*f*u**3 - 13*f*u**2 - 6*u**2 wrt u?" }, { "from": "gpt", "value": "-312*f**2*u + 54*f**2 - 24*f" } ]
[ { "from": "human", "value": "Let p be -4*4/(-16)*-18. Let k = p + 74. Is k a multiple of 20?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Let x(l) = l + 8. Let d(i) = -i - 9. Give -3*d(u) - 2*x(u)." }, { "from": "gpt", "value": "u + 11" } ]
[ { "from": "human", "value": "Factor 3*v**2 + 341347644*v + 9709851172029228." }, { "from": "gpt", "value": "3*(v + 56891274)**2" } ]
[ { "from": "human", "value": "Divide -8 by -24." }, { "from": "gpt", "value": "1/3" } ]
[ { "from": "human", "value": "Evaluate 5 + -3 + (-4 - (3 + -7))." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "What is the tens digit of 2514?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Solve 6*x - 4 = -28 for x." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Does 40 divide 87400?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Which is the smallest value? (a) 0.075 (b) 0.2 (c) -7" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Calculate -76020 - 0.3." }, { "from": "gpt", "value": "-76020.3" } ]
[ { "from": "human", "value": "Suppose 13/2*x + 3/2 + 2*x**2 = 0. Calculate x." }, { "from": "gpt", "value": "-3, -1/4" } ]
[ { "from": "human", "value": "Let q(w) = w**2 + 14*w + 29. Let v be q(-12). Solve -3 = v*l + 3*j, -3*l + 3 = -l - 3*j for l." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "What is 2055 to the power of 1/3, to the nearest integer?" }, { "from": "gpt", "value": "13" } ]
[ { "from": "human", "value": "Is 6103 a composite number?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What is the common denominator of 107/10 and (-24)/224*38/(-3)?" }, { "from": "gpt", "value": "70" } ]
[ { "from": "human", "value": "Calculate 2 divided by 9." }, { "from": "gpt", "value": "2/9" } ]
[ { "from": "human", "value": "Suppose -3*x + 0*x - 192 = 0. Let d be (-4)/(-14) - x/(-28). Is -9*(d - (-10)/(-6)) a composite number?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Which is the second biggest value? (a) 2 (b) -3 (c) -2 (d) 2/5" }, { "from": "gpt", "value": "d" } ]
[ { "from": "human", "value": "Let b(s) = -s**2 + 4*s - 2. Let n be b(1). Calculate the remainder when 63 is divided by 11/(n - 4/8)." }, { "from": "gpt", "value": "19" } ]
[ { "from": "human", "value": "Work out 0.09 - 2.7." }, { "from": "gpt", "value": "-2.61" } ]
[ { "from": "human", "value": "Let w(d) = 8*d**2. Let j(t) = 3*t**2. Let f(o) = 11*j(o) - 4*w(o). Let x(z) = -11*z - 17. Let s(l) = -4*l - 6. Let y(i) = 17*s(i) - 6*x(i). Determine y(f(g))." }, { "from": "gpt", "value": "-2*g**2" } ]
[ { "from": "human", "value": "How many minutes are there between 3:58 AM and 10:37 AM?" }, { "from": "gpt", "value": "399" } ]
[ { "from": "human", "value": "Simplify ((l*l**11)/(l/(l/(l**(5/6)*l)*l)))**(-2/21) assuming l is positive." }, { "from": "gpt", "value": "l**(-67/63)" } ]
[ { "from": "human", "value": "Let f be (-7 - -1)/(-3 + 2). Let m = f + -4. What is the third derivative of 2*h + m*h**4 - h - h + 3*h**2 wrt h?" }, { "from": "gpt", "value": "48*h" } ]
[ { "from": "human", "value": "Are 16 and -4 equal?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Solve -r + 14 = 5*l, -245*l = -5*r - 247*l + 24 for r." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "What is the nearest to 1 in -5, 1/5, 5, -2/17?" }, { "from": "gpt", "value": "1/5" } ]
[ { "from": "human", "value": "Solve -401*q = -405*q - 12 for q." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "What is -2327000 rounded to the nearest 100000?" }, { "from": "gpt", "value": "-2300000.0" } ]
[ { "from": "human", "value": "Evaluate 4 - (-3 - -6) - 4." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Differentiate -557*i**2*l + 436*i**2 wrt l." }, { "from": "gpt", "value": "-557*i**2" } ]
[ { "from": "human", "value": "Is 47 a factor of 143983?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What is the closest to 2/5 in 5, 0, 0.56?" }, { "from": "gpt", "value": "0.56" } ]
[ { "from": "human", "value": "Let q = 6 - 3. Let f(i) be the third derivative of 0*i**4 + 0*i**3 + 0*i + 0*i**5 - q*i**2 + 0 - 1/120*i**6. Solve f(k) = 0 for k." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Let j = 44 + 96. Is 28 a factor of j?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What are the prime factors of 2069?" }, { "from": "gpt", "value": "2069" } ]
[ { "from": "human", "value": "Suppose -5*x + 4*n = -21, 3*x + 3*n - 20 = -2*n. Let z(l) = -3*l**2 - 2*l - 1. Let d be z(-1). What is the nearest to 1 in 0.2, d, x?" }, { "from": "gpt", "value": "0.2" } ]
[ { "from": "human", "value": "Let l = -12.1 - -12. Which is the nearest to l? (a) 3 (b) -6 (c) 4" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Is 182777 composite?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Simplify -1 + 2 + 4*(sqrt(320) + -2 + sqrt(320))." }, { "from": "gpt", "value": "-7 + 64*sqrt(5)" } ]
[ { "from": "human", "value": "Three letters picked without replacement from {s: 1, t: 1, z: 2, e: 1, j: 2}. What is prob of sequence ejs?" }, { "from": "gpt", "value": "1/105" } ]
[ { "from": "human", "value": "Let x = 0.7 + 3.3. Put x, -2, 0.3 in decreasing order." }, { "from": "gpt", "value": "x, 0.3, -2" } ]
[ { "from": "human", "value": "What is next in -3, 29, 91, 189, 329?" }, { "from": "gpt", "value": "517" } ]
[ { "from": "human", "value": "Simplify j*j**(-31)*j*(j**(-13)/j)/j assuming j is positive." }, { "from": "gpt", "value": "j**(-44)" } ]
[ { "from": "human", "value": "Let d = 30/19 - 166/57. Let s(l) = l**2. Let g be s(1). Which is the biggest value? (a) 1/6 (b) g (c) d" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "What is the first derivative of -4264*a**4*u**2 - 233*u**2 - 6 wrt a?" }, { "from": "gpt", "value": "-17056*a**3*u**2" } ]
[ { "from": "human", "value": "Suppose 0 = 2*l + n - 18, 2*n + 2*n - 42 = -5*l. What is the highest common factor of 5 and l?" }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Let r = 115/164 + 2/41. What is the closest to -1/3 in 2, r, -0.3?" }, { "from": "gpt", "value": "-0.3" } ]
[ { "from": "human", "value": "Let s(g) = -g. Let u(v) be the first derivative of -5*v**2/2 - v - 7. What is 3*s(k) - u(k)?" }, { "from": "gpt", "value": "2*k + 1" } ]
[ { "from": "human", "value": "What is the value of 9 - (-2 + (-2 - -8))?" }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "What is the value of 10/140*-7*48/(-3)?" }, { "from": "gpt", "value": "8" } ]
[ { "from": "human", "value": "Work out -9.88 * 0." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Calculate the greatest common divisor of 10 and 190." }, { "from": "gpt", "value": "10" } ]
[ { "from": "human", "value": "How many decades are there in 308.7324 centuries?" }, { "from": "gpt", "value": "3087.324" } ]
[ { "from": "human", "value": "In base 6, what is 523 - -11202423?" }, { "from": "gpt", "value": "11203350" } ]
[ { "from": "human", "value": "Let h(m) = m - 4. Let g be h(2). Let q(v) = 5*v + 1. Determine q(g)." }, { "from": "gpt", "value": "-9" } ]
[ { "from": "human", "value": "Simplify (sqrt(13) + (-1 + sqrt(13))*-6)**2 + 5 - (-5 + 0 + sqrt(13) + (1 + sqrt(13))**2)." }, { "from": "gpt", "value": "357 - 63*sqrt(13)" } ]
[ { "from": "human", "value": "Let a = -3 + 5. Let h be (a - 1)/(2/10). Solve s + 4 = h*s for s." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Let w = 0.2 - 0.1. Let o = -0.989 - 0.011. What is the closest to w in o, -1/4, -4?" }, { "from": "gpt", "value": "-1/4" } ]
[ { "from": "human", "value": "Which is the third biggest value? (a) -11 (b) -4 (c) -0.2 (d) 3" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "What is next in 3, -9, -45, -111, -213, -357?" }, { "from": "gpt", "value": "-549" } ]
[ { "from": "human", "value": "Let l = 871 + -1235. Which is smaller: -363 or l?" }, { "from": "gpt", "value": "l" } ]