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math

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[ { "from": "human", "value": "-6 (base 10) to base 8" }, { "from": "gpt", "value": "-6" } ]
[ { "from": "human", "value": "Is 3790 greater than or equal to 3790?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What is the fifth root of 1685 to the nearest integer?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Suppose 2*v = -3*j + 171, -223 = -3*v - j + 16. Is v a multiple of 13?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let f be (-6)/(-9) - 1/(-3). What is the closest to f in 1, -2, 0?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "List the prime factors of 803." }, { "from": "gpt", "value": "11, 73" } ]
[ { "from": "human", "value": "Solve 4*d = u + 3, -170*d = -165*d - 2*u for d." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "What is the d'th term of 79, 146, 213, 280, 347?" }, { "from": "gpt", "value": "67*d + 12" } ]
[ { "from": "human", "value": "What is 1624 divided by 4?" }, { "from": "gpt", "value": "406" } ]
[ { "from": "human", "value": "7 + -2 + -2 - 2" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Let x(a) = 7*a - 6. Let h be x(5). Solve -2*l + 4*c - 20 = 0, 0 = -5*l + 2*c + c - h for l." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Simplify sqrt(180) - (sqrt(180) - sqrt(180)*1)**2." }, { "from": "gpt", "value": "6*sqrt(5)" } ]
[ { "from": "human", "value": "Let w(a) = -2*a**2 + 4*a + 2. Let x(f) = 2 + 8*f - 3*f**2 + 2 - 1 - 3*f. Let h(s) = 5*w(s) - 4*x(s). Differentiate h(z) with respect to z." }, { "from": "gpt", "value": "4*z" } ]
[ { "from": "human", "value": "Solve 2*t - 3801 = -3815 for t." }, { "from": "gpt", "value": "-7" } ]
[ { "from": "human", "value": "Let y = -117791 - -29683249/252. Let w = 1059 + -29649/28. Let z = y + w. Which is the smallest value? (a) 2/5 (b) 1/4 (c) z" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "What is prob of picking 2 h when two letters picked without replacement from {h: 6, l: 4}?" }, { "from": "gpt", "value": "1/3" } ]
[ { "from": "human", "value": "0.02331 + 5" }, { "from": "gpt", "value": "5.02331" } ]
[ { "from": "human", "value": "What is 205443239 to the power of 1/2, to the nearest integer?" }, { "from": "gpt", "value": "14333" } ]
[ { "from": "human", "value": "What is the z'th term of -415, -406, -393, -376, -355, -330, -301?" }, { "from": "gpt", "value": "2*z**2 + 3*z - 420" } ]
[ { "from": "human", "value": "Is 192155 a prime number?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Let l be 2/(-4) - 54/(-156). Let p = 0.03 - 0.73. Let m = p + 0.4. What is the smallest value in l, m, -2?" }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Suppose -u - 2 = -2*u. Suppose -5 = u*f - 3*f. Suppose -16 = i - f*i. Solve 3*w + 2*s = 3*s + 1, 3*w - 4*s = i for w." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Put 0.2, -2, 739/11 in decreasing order." }, { "from": "gpt", "value": "739/11, 0.2, -2" } ]
[ { "from": "human", "value": "Let j(h) = -7 - 1 - 2 - 2*h. Let s be j(-7). Suppose -4*p = -4*y - s, y - 2*p + 5 = -0*p. Solve -1 = -w - q, q + y*q - 31 = 5*w for w." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "What is the square root of 5116 to the nearest integer?" }, { "from": "gpt", "value": "72" } ]
[ { "from": "human", "value": "-365 divided by -18" }, { "from": "gpt", "value": "365/18" } ]
[ { "from": "human", "value": "8/9*(-3)/(-8)*-2" }, { "from": "gpt", "value": "-2/3" } ]
[ { "from": "human", "value": "What is one sixth of a day in minutes?" }, { "from": "gpt", "value": "240" } ]
[ { "from": "human", "value": "Is 10870 a multiple of 10?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Evaluate 1 + -3 + -1 + 3 + 1." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Calculate the highest common factor of 3965 and 244." }, { "from": "gpt", "value": "61" } ]
[ { "from": "human", "value": "Suppose 0*l = l. Suppose l*o = -o + 4. Solve 15 = 3*m, -3*k + o*m - 25 = 1 for k." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "What is 10 + (-4 - (0 - 0))?" }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "Is 1741 a composite number?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Let h = -2 - -43. Calculate the remainder when h is divided by 22." }, { "from": "gpt", "value": "19" } ]
[ { "from": "human", "value": "What is the value of 3 - (0 + 6 - 1)?" }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Let z(x) = x**2. Let j(k) be the first derivative of -8*k**3/3 - 5*k**2/2 - 10. Calculate z(j(h))." }, { "from": "gpt", "value": "64*h**4 + 80*h**3 + 25*h**2" } ]
[ { "from": "human", "value": "Calculate -12*(-19)/(380/15)." }, { "from": "gpt", "value": "9" } ]
[ { "from": "human", "value": "Is 5647 a multiple of 12?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Calculate -3 + (8 - 7) + 6." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Let l = -146 - -145.2. Put l, -0.3, -2, 1 in descending order." }, { "from": "gpt", "value": "1, -0.3, l, -2" } ]
[ { "from": "human", "value": "Calculate 0.482 + 5." }, { "from": "gpt", "value": "5.482" } ]
[ { "from": "human", "value": "What is the closest to -1 in 3, -1/2, -169, -4/7?" }, { "from": "gpt", "value": "-4/7" } ]
[ { "from": "human", "value": "Calculate 5 divided by 85." }, { "from": "gpt", "value": "1/17" } ]
[ { "from": "human", "value": "Collect the terms in -3*a - 23 + 0*a + 2*a + 15*a**3." }, { "from": "gpt", "value": "15*a**3 - a - 23" } ]
[ { "from": "human", "value": "Suppose -6 = 3*l - 3*t + 3, 0 = 2*l + t. Let j be (0 + 1)*(1 + l). Let g be (1 + -1)/(-4 + 1). Solve j*f + 5*f + 20 = g for f." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Solve 22 = -11*h - 22 for h." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "What is 3.752241um in millimeters?" }, { "from": "gpt", "value": "0.003752241" } ]
[ { "from": "human", "value": "Let k(p) be the first derivative of p**5/180 + p**4/72 - p**2 - 3. Let v(a) be the second derivative of k(a). Determine g so that v(g) = 0." }, { "from": "gpt", "value": "-1, 0" } ]
[ { "from": "human", "value": "What is -2773717 (base 8) in base 4?" }, { "from": "gpt", "value": "-2333133033" } ]
[ { "from": "human", "value": "-7 - ((-2 - -10) + -11)" }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Factor -10*y**3 - 255*y**2 - 920*y + 525." }, { "from": "gpt", "value": "-5*(y + 5)*(y + 21)*(2*y - 1)" } ]
[ { "from": "human", "value": "Let x(f) = 2*f. Let m = -3 - -4. Let q be x(m). Let d = 0.334 - 0.834. Which is the smallest value? (a) 1 (b) q (c) d" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Calculate the remainder when 43 is divided by 15." }, { "from": "gpt", "value": "13" } ]
[ { "from": "human", "value": "Find the first derivative of 4*t**2*z**3 + 17*t*z**3 - 73*z**3 wrt t." }, { "from": "gpt", "value": "8*t*z**3 + 17*z**3" } ]
[ { "from": "human", "value": "Let 0 + 2*u**3 - 2/3*u**4 + 2/3*u - 2*u**2 = 0. What is u?" }, { "from": "gpt", "value": "0, 1" } ]
[ { "from": "human", "value": "Let l(o) be the third derivative of -4*o**2 + 0*o**3 + 1/12*o**5 + 0 + 0*o**4 + 0*o + 1/40*o**6. Find the third derivative of l(k) wrt k." }, { "from": "gpt", "value": "18" } ]
[ { "from": "human", "value": "Simplify (-4*sqrt(5760) + sqrt(5760))/(sqrt(8) + sqrt(40)/(4*sqrt(5)))." }, { "from": "gpt", "value": "-144*sqrt(5)/5" } ]
[ { "from": "human", "value": "-0.7 * -150" }, { "from": "gpt", "value": "105" } ]
[ { "from": "human", "value": "Sort -5, 2, 2/23." }, { "from": "gpt", "value": "-5, 2/23, 2" } ]
[ { "from": "human", "value": "Solve -5*c - 10 = -3*r, 2*c + 37 = -2*r + 33 for r." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "What is the z'th term of -7, -19, -39, -67, -103, -147, -199?" }, { "from": "gpt", "value": "-4*z**2 - 3" } ]
[ { "from": "human", "value": "Add -2 and -6.07." }, { "from": "gpt", "value": "-8.07" } ]
[ { "from": "human", "value": "What is the m'th term of -46, -37, -22, -1, 26?" }, { "from": "gpt", "value": "3*m**2 - 49" } ]
[ { "from": "human", "value": "Find the second derivative of -107*n**3*p**4 - n**3 - 2*n**2 - 4*n*p - 2*p**4 wrt p." }, { "from": "gpt", "value": "-1284*n**3*p**2 - 24*p**2" } ]
[ { "from": "human", "value": "Is 3821 prime?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Calculate -0.08*5." }, { "from": "gpt", "value": "-0.4" } ]
[ { "from": "human", "value": "What is the product of -199 and 21?" }, { "from": "gpt", "value": "-4179" } ]
[ { "from": "human", "value": "Suppose 0 = -x - x - 2. Let v(p) = -2*p + 1 + 4*p - 7*p**3 + 5. Let g(y) = 1 - y**3. Let k(r) = x*v(r) + 6*g(r). What is the second derivative of k(f) wrt f?" }, { "from": "gpt", "value": "6*f" } ]
[ { "from": "human", "value": "What comes next: 62, 60, 58, 56, 54?" }, { "from": "gpt", "value": "52" } ]
[ { "from": "human", "value": "What is 11/4 of a gram in milligrams?" }, { "from": "gpt", "value": "2750" } ]
[ { "from": "human", "value": "Is 53 a factor of 1193?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Which is the closest to 1? (a) -0.5 (b) -98 (c) -0.02 (d) 0" }, { "from": "gpt", "value": "d" } ]
[ { "from": "human", "value": "Find the third derivative of 3*o**5 - 4*o**3 - 78*o**2 wrt o." }, { "from": "gpt", "value": "180*o**2 - 24" } ]
[ { "from": "human", "value": "Simplify 2 + sqrt(68)/(-3*-3*sqrt(4))." }, { "from": "gpt", "value": "sqrt(17)/9 + 2" } ]
[ { "from": "human", "value": "Let s(p) = 12*p - 415. Let t be s(33). Put t, 5, 6, -2 in descending order." }, { "from": "gpt", "value": "6, 5, -2, t" } ]
[ { "from": "human", "value": "What is -970ee (base 16) in base 7?" }, { "from": "gpt", "value": "-5154614" } ]
[ { "from": "human", "value": "Let a be (-4 - -6)/(2*-1). Let t(x) = 4*x**2 + 1. Let p be t(a). Solve -26 = -4*i + p*d, -2*i - 2 = 5*d - 0 for i." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "(4/(-80))/(15/(-150))" }, { "from": "gpt", "value": "1/2" } ]
[ { "from": "human", "value": "Suppose -m + 5*t = -29, 4*t + 68 = m + 3*m. Let n = -10 + m. Calculate the greatest common divisor of n and 8." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Three letters picked without replacement from noxsbovbs. What is prob of picking 1 o and 2 b?" }, { "from": "gpt", "value": "1/42" } ]
[ { "from": "human", "value": "What is the t'th term of -25, -37, -49?" }, { "from": "gpt", "value": "-12*t - 13" } ]
[ { "from": "human", "value": "Is 23 a factor of 288?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What is the remainder when 4772 is divided by 28?" }, { "from": "gpt", "value": "12" } ]
[ { "from": "human", "value": "What is 18897 to the power of 1/2, to the nearest integer?" }, { "from": "gpt", "value": "137" } ]
[ { "from": "human", "value": "Let x(k) = -4*k. Let o be x(-1). Suppose w = -o*z - z + 5, 2*z = 3*w + 2. Let m = 19 + -14. Which is the second biggest value? (a) m (b) 2 (c) w" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Solve 2*d + 4*l = 3*d - 19, -5*l = 20 for d." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Let v = -2.13 - -0.23. Let w = v + 2. Let x be 0 - -2 - 15/9. Which is the nearest to w? (a) x (b) 1 (c) -4" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Let t(z) be the first derivative of -z**5/10 + 5*z**4/8 - 7*z**3/6 + 3*z**2/4 - 34. Factor t(h)." }, { "from": "gpt", "value": "-h*(h - 3)*(h - 1)**2/2" } ]
[ { "from": "human", "value": "Let j = 2 - 3. Suppose 4 + 4 = -4*l. Put j, l, 3 in decreasing order." }, { "from": "gpt", "value": "3, j, l" } ]
[ { "from": "human", "value": "(1 - 6 - 5 - -6) + -4" }, { "from": "gpt", "value": "-8" } ]
[ { "from": "human", "value": "Suppose -o = 4*b + 5, 4*o + 2*b - 7 - 43 = 0. Is o <= 16?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Solve -79*b + 70*b = 9 for b." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Calculate 3 + -3 + 2 + -3." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Simplify (sqrt(48)*-1)/(2*sqrt(24))." }, { "from": "gpt", "value": "-sqrt(2)/2" } ]
[ { "from": "human", "value": "What is the f'th term of 115, 126, 147, 178?" }, { "from": "gpt", "value": "5*f**2 - 4*f + 114" } ]
[ { "from": "human", "value": "Factor -5*h**2 + 5*h." }, { "from": "gpt", "value": "-5*h*(h - 1)" } ]
[ { "from": "human", "value": "Sort 4, 19, -38." }, { "from": "gpt", "value": "-38, 4, 19" } ]
[ { "from": "human", "value": "Find the third derivative of 4917*r**3 - 14454*r**2 wrt r." }, { "from": "gpt", "value": "29502" } ]
[ { "from": "human", "value": "Simplify -6*sqrt(12)/(1*sqrt(4)*6)." }, { "from": "gpt", "value": "-sqrt(3)" } ]