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math

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[ { "from": "human", "value": "Is 2581 composite?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let y(v) = 3*v**2 - 2*v - 1. Let p be y(-1). Suppose 2*n - 2 = p. Suppose 0 = 2*b + 10, 2*b + 13 = -s - 0*s. Put 0, n, s in increasing order." }, { "from": "gpt", "value": "s, 0, n" } ]
[ { "from": "human", "value": "Calculate (0 - (-15)/(-3))/1." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Two letters picked without replacement from {l: 1, f: 2, p: 2, u: 1, o: 4, b: 2}. What is prob of picking 1 p and 1 b?" }, { "from": "gpt", "value": "2/33" } ]
[ { "from": "human", "value": "Simplify (-3*(-5*sqrt(343) + 1))**2." }, { "from": "gpt", "value": "77184 - 630*sqrt(7)" } ]
[ { "from": "human", "value": "Let h(f) = f + 3 - 2 - 1. Let u(w) be the first derivative of -w**3 + w**2 + w - 3. Let y be u(-1). Calculate h(y)." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Which is the biggest value? (a) 25 (b) -0.1 (c) -60 (d) -2" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Let v be 19/7 - (-9)/(-3). Are -0.07 and v equal?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Let k be ((-25)/10)/((-4)/(-8)). Which is the second smallest value? (a) 0.1 (b) 0.4 (c) k" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "What are the prime factors of 5090?" }, { "from": "gpt", "value": "2, 5, 509" } ]
[ { "from": "human", "value": "Find the third derivative of -2*m*n**2*w - 6*m*n**2 + m*n*w**4 + 3*m*w**4 - 2*m*w - 5*n**2*w**3 - 5*w**2 wrt w." }, { "from": "gpt", "value": "24*m*n*w + 72*m*w - 30*n**2" } ]
[ { "from": "human", "value": "What is next in 3018, 3015, 3012, 3009, 3006?" }, { "from": "gpt", "value": "3003" } ]
[ { "from": "human", "value": "Does 5 divide 9235?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What is 33 + 9 + (-13 - 12) + -57?" }, { "from": "gpt", "value": "-40" } ]
[ { "from": "human", "value": "Subtract 0.136 from 10." }, { "from": "gpt", "value": "9.864" } ]
[ { "from": "human", "value": "What is next in 17, 38, 59, 80, 101, 122?" }, { "from": "gpt", "value": "143" } ]
[ { "from": "human", "value": "Expand (-6 + 6 + 5)*((1 + 2*a**2 - 1)*(-2*a - 2*a + 5*a) - a**3 + 2*a - 2*a)." }, { "from": "gpt", "value": "5*a**3" } ]
[ { "from": "human", "value": "Let i(j) be the first derivative of 2*j**3/9 + j**2 + 4*j/3 + 2. Solve i(q) = 0." }, { "from": "gpt", "value": "-2, -1" } ]
[ { "from": "human", "value": "Let y(d) = d**2 + 9*d - 3. What is the remainder when y(-14) is divided by 14?" }, { "from": "gpt", "value": "11" } ]
[ { "from": "human", "value": "In base 14, what is 2 + 2d4?" }, { "from": "gpt", "value": "2d6" } ]
[ { "from": "human", "value": "Simplify (sqrt(2448) - (sqrt(2448) - (-3 + sqrt(2448)*2)))**2 + 2 + sqrt(2448) + -1." }, { "from": "gpt", "value": "9802 - 132*sqrt(17)" } ]
[ { "from": "human", "value": "In base 4, what is -101 - 103233?" }, { "from": "gpt", "value": "-110000" } ]
[ { "from": "human", "value": "Solve 9 = -22*d - 13 for d." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "What is 202 minutes after 4:18 AM?" }, { "from": "gpt", "value": "7:40 AM" } ]
[ { "from": "human", "value": "What is the value of (-6)/18*12*(-1)/(-1)?" }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "What is the f'th term of 4, 7, 14, 31, 64, 119?" }, { "from": "gpt", "value": "f**3 - 4*f**2 + 8*f - 1" } ]
[ { "from": "human", "value": "What is the remainder when 133 is divided by 92?" }, { "from": "gpt", "value": "41" } ]
[ { "from": "human", "value": "What is the remainder when 6959 is divided by 24?" }, { "from": "gpt", "value": "23" } ]
[ { "from": "human", "value": "Evaluate (0 + 0 - 1) + 1." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Let g be (1 - 1)/(8/4). Let b(w) be the second derivative of w**6/120 + w**4/24 + w**3/3 + w**2/2 + w. Let u(x) be the first derivative of b(x). Give u(g)." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Solve -2*t + 4 = m, m + 5 + 3 = t for m." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Which is the smallest value? (a) 0.4 (b) 6 (c) 7/10" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Which is smaller: -5/15527 or 1?" }, { "from": "gpt", "value": "-5/15527" } ]
[ { "from": "human", "value": "Let z(u) be the third derivative of 0*u**3 + 0 + 0*u - 2*u**2 + 1/12*u**4. Is 4 a factor of z(5)?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "In base 9, what is 778 + 7?" }, { "from": "gpt", "value": "786" } ]
[ { "from": "human", "value": "In base 4, what is 1 + -23231?" }, { "from": "gpt", "value": "-23230" } ]
[ { "from": "human", "value": "Differentiate -657851*r**3 - 1203986 with respect to r." }, { "from": "gpt", "value": "-1973553*r**2" } ]
[ { "from": "human", "value": "Simplify ((((x**(-2/3)/x*x)/x*x)/x)/x)/((x/(x/x**(-1)))/x)*(x*x*x/(x**(-1)*x)*x)**(-2/5) assuming x is positive." }, { "from": "gpt", "value": "x**(-34/15)" } ]
[ { "from": "human", "value": "Find the third derivative of -8833277*n**3 + 17413*n**2 - 41*n - 2 wrt n." }, { "from": "gpt", "value": "-52999662" } ]
[ { "from": "human", "value": "Evaluate ((-40)/100)/(1/(-10))." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "What comes next: -143439, -286842, -430213, -573558, -716883, -860194, -1003497, -1146798?" }, { "from": "gpt", "value": "-1290103" } ]
[ { "from": "human", "value": "Calculate the highest common divisor of 23 and 6187." }, { "from": "gpt", "value": "23" } ]
[ { "from": "human", "value": "Evaluate (7*12/693)/((-2)/3)." }, { "from": "gpt", "value": "-2/11" } ]
[ { "from": "human", "value": "What is the value of -1 + 2 + -1 + (0 - -1)?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Let r(p) = -p**3 + p**2 + 3. Suppose 2*f - 4*f = 0. Let q be r(f). Suppose 0 = -q*x + 5*x - 108. What is the remainder when x is divided by 19?" }, { "from": "gpt", "value": "16" } ]
[ { "from": "human", "value": "Suppose 429*c - 384*c = 25470. Calculate the greatest common divisor of 13301 and c." }, { "from": "gpt", "value": "283" } ]
[ { "from": "human", "value": "How many minutes are there between 12:37 AM and 1:26 AM?" }, { "from": "gpt", "value": "49" } ]
[ { "from": "human", "value": "What is the tens digit of 1180?" }, { "from": "gpt", "value": "8" } ]
[ { "from": "human", "value": "What is the c'th term of 401, 866, 1345, 1844, 2369?" }, { "from": "gpt", "value": "c**3 + c**2 + 455*c - 56" } ]
[ { "from": "human", "value": "Round -0.057875 to 2 decimal places." }, { "from": "gpt", "value": "-0.06" } ]
[ { "from": "human", "value": "In base 6, what is 201 - -20?" }, { "from": "gpt", "value": "221" } ]
[ { "from": "human", "value": "Let h = 376 - -10. Let b = -396 + h. Let m = 7 + -5. Do b and m have the same value?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Suppose 0 = d - 3*j + 19, 4*d - j + 60 = -5*j. Let h = -12 - d. Solve 3*y + 6*n = h*n + 23, -5*y - 3*n + 37 = 0 for y." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "6/(-144)*-4*42/(-28)" }, { "from": "gpt", "value": "-1/4" } ]
[ { "from": "human", "value": "Let j be 33*-1*(-80)/24. Suppose 0*y + j = 2*y. Is y a composite number?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Suppose 2*o + 5*j = 3*j, 2*o - 28 = 5*j. Factor -a**o + 3*a**4 - 4*a**4 + 2*a**2 - a + 0*a**4 + a**5." }, { "from": "gpt", "value": "a*(a - 1)**3*(a + 1)" } ]
[ { "from": "human", "value": "What is prob of picking 2 h when two letters picked without replacement from {h: 6, i: 6}?" }, { "from": "gpt", "value": "5/22" } ]
[ { "from": "human", "value": "Let q(m) be the first derivative of 3*m**5/5 + 80*m**3/3 - 28*m**2 - m - 303. What is the second derivative of q(o) wrt o?" }, { "from": "gpt", "value": "36*o**2 + 160" } ]
[ { "from": "human", "value": "What is the next term in -1456, -2920, -4384, -5848, -7312?" }, { "from": "gpt", "value": "-8776" } ]
[ { "from": "human", "value": "What is the value of (-5)/3 - (33/(-9) - -3)?" }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Collect the terms in 789*p - 789*p + 13*p**2." }, { "from": "gpt", "value": "13*p**2" } ]
[ { "from": "human", "value": "In base 7, what is 103 - -31?" }, { "from": "gpt", "value": "134" } ]
[ { "from": "human", "value": "Calculate the remainder when 95 is divided by 68." }, { "from": "gpt", "value": "27" } ]
[ { "from": "human", "value": "What is the ninth root of 887 to the nearest integer?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Is 545543 a composite number?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Suppose 5*f + 0*f - 20 = 0. Let w be -2 - (12/(-4) - -2). Let g be w + f - 3 - -3. Solve -v - g*v - 16 = -b, -5*b = 4*v + 40 for v." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Factor 0*f - 2/5*f**3 - 2/5*f**2 + 0." }, { "from": "gpt", "value": "-2*f**2*(f + 1)/5" } ]
[ { "from": "human", "value": "Let m(a) = -a**2 - 6*a + 8. Let s be (0 + 2 - -1)*4. Suppose -p = 5*o + s, 2*o = 3*p + o + 20. What is the units digit of m(p)?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Suppose 30 = 13*g - 8*g. Solve -5*p - t = -p - 17, -p - 2*t + g = 0 for p." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "What comes next: -33, -35, -37, -39, -41?" }, { "from": "gpt", "value": "-43" } ]
[ { "from": "human", "value": "0.027 * -0.1" }, { "from": "gpt", "value": "-0.0027" } ]
[ { "from": "human", "value": "Put together -2661 and -1.25." }, { "from": "gpt", "value": "-2662.25" } ]
[ { "from": "human", "value": "Simplify 0 + -1 + (sqrt(19) + sqrt(475))**2." }, { "from": "gpt", "value": "683" } ]
[ { "from": "human", "value": "Multiply 0.1 and 175." }, { "from": "gpt", "value": "17.5" } ]
[ { "from": "human", "value": "What is next in -6340, -12683, -19026, -25369, -31712?" }, { "from": "gpt", "value": "-38055" } ]
[ { "from": "human", "value": "What is the value of 0 + (-8 - -3) + (-7 - -1)?" }, { "from": "gpt", "value": "-11" } ]
[ { "from": "human", "value": "Divide 590 by -295." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Evaluate (6/(-15))/((-2)/30)." }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "Is -3672 greater than -3672?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What is the hundreds digit of 7103?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "What is the eighth root of 11873 to the nearest integer?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "In base 16, what is -2 - -7f3?" }, { "from": "gpt", "value": "7f1" } ]
[ { "from": "human", "value": "Find the third derivative of 21*g**4*k + 44*g**3*k - 212*g**2*k - 9*g**2 wrt g." }, { "from": "gpt", "value": "504*g*k + 264*k" } ]
[ { "from": "human", "value": "Suppose 6 = -p + 18. Suppose 3 = -2*g - 5*d - 0, -4*g = 4*d - p. Let a be g/(-24) + (-27)/(-12). Solve -14 + a = -4*j for j." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "What is the remainder when 164 is divided by 37?" }, { "from": "gpt", "value": "16" } ]
[ { "from": "human", "value": "Let y be (-26)/(-5) - 2/10. Suppose 0*v = y*n + 2*v - 124, 4*v = -4*n + 104. Solve -f + 2*f + 2*b = 10, 4*f - n = -4*b for f." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Factor -8/21*i**2 - 54/7 + 24/7*i." }, { "from": "gpt", "value": "-2*(2*i - 9)**2/21" } ]
[ { "from": "human", "value": "Which is the closest to 1? (a) 3 (b) 0.1 (c) 5.4" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Let u(l) be the second derivative of l**4/32 - l**3/12 + l**2/16 - l. Factor u(n)." }, { "from": "gpt", "value": "(n - 1)*(3*n - 1)/8" } ]
[ { "from": "human", "value": "Does 23 divide 1057?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What comes next: 483, 961, 1439, 1917?" }, { "from": "gpt", "value": "2395" } ]
[ { "from": "human", "value": "Suppose -5*r + 406 = -34. What is the remainder when r is divided by 18?" }, { "from": "gpt", "value": "16" } ]
[ { "from": "human", "value": "Let r = -5 + 8. Suppose 5*c + 5*x + 27 = -13, -r*x - 9 = -2*c. What is the closest to -1 in c, -2, 4?" }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Let a(c) be the first derivative of -17*c**4/2 + 2*c**3/3 + c**2/2 + 2. What is the units digit of a(-1)?" }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Let z = -319/60 - -27/5. Let x(v) be the second derivative of 0 - 3*v + z*v**4 + 0*v**2 - 1/2*v**3. What is the second derivative of x(d) wrt d?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Let f(j) = j**3 - 14*j**2 + 12*j + 9. Let q be f(13). Let k(o) = o**2 - o + 2. Let y(w) = -4*w**2 + 3*w - 8. Let h(v) = q*y(v) - 18*k(v). Factor h(c)." }, { "from": "gpt", "value": "-2*(c - 2)*(c - 1)" } ]
[ { "from": "human", "value": "What is 9 divided by -57?" }, { "from": "gpt", "value": "-3/19" } ]
[ { "from": "human", "value": "How many minutes are there between 3:47 AM and 8:00 AM?" }, { "from": "gpt", "value": "253" } ]
[ { "from": "human", "value": "-4*5/(120/(-9))" }, { "from": "gpt", "value": "3/2" } ]
[ { "from": "human", "value": "-2 (base 9) to base 15" }, { "from": "gpt", "value": "-2" } ]