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math

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[ { "from": "human", "value": "What is the thousands digit of 1177?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "What is the third derivative of -273*j**6 - 2*j**2 + 193?" }, { "from": "gpt", "value": "-32760*j**3" } ]
[ { "from": "human", "value": "Suppose -3*u = -4*u + 3*f + 9, u + 4*f = 2. Let b = 1 + 4. Let p be ((-4)/(-10))/((-2)/(-10)). Solve b*m = p*m + u for m." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Let f = -251 + 190. What is the common denominator of -43/177 and -1*(-4)/(-8)*f - -5?" }, { "from": "gpt", "value": "354" } ]
[ { "from": "human", "value": "In base 12, what is -2ab + -1?" }, { "from": "gpt", "value": "-2b0" } ]
[ { "from": "human", "value": "Suppose 11*y = -0*y + 528. What is the highest common factor of y and 36?" }, { "from": "gpt", "value": "12" } ]
[ { "from": "human", "value": "What is the closest to 2/7 in -5, -2/3, 660, -2/9?" }, { "from": "gpt", "value": "-2/9" } ]
[ { "from": "human", "value": "Factor -m**2/3 + 27*m + 2392/3." }, { "from": "gpt", "value": "-(m - 104)*(m + 23)/3" } ]
[ { "from": "human", "value": "Let p(r) be the second derivative of r**6/360 - r**5/40 - r**3/3 - r. Let n(u) be the second derivative of p(u). Factor n(t)." }, { "from": "gpt", "value": "t*(t - 3)" } ]
[ { "from": "human", "value": "What is (4/10)/(9/30)?" }, { "from": "gpt", "value": "4/3" } ]
[ { "from": "human", "value": "What is ((-14)/21)/((-2)/(-15))?" }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Suppose -3*c + 5*c = j + 7, 3*c - 5 = -4*j. What is the nearest to 1/3 in c, -2/21, 0.11?" }, { "from": "gpt", "value": "0.11" } ]
[ { "from": "human", "value": "Determine d, given that 2*d**2/7 - 138*d = 0." }, { "from": "gpt", "value": "0, 483" } ]
[ { "from": "human", "value": "Does 11 divide 3956?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What is 944 to the power of 1/8, to the nearest integer?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Let d be (0 - 2) + (-10)/2. Let i be (-92)/(-28) - (-2)/d. Solve -4 = -z - 3*z - 2*f, -i*z + 5*f = 23 for z." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Let j = 0 + 0. Let m be (-4)/(-1) + 15 + -14. Solve 0 = s - m*a - 19, 0 = 2*s - a - j*a - 11 for s." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "What is the third root of 5799 to the nearest integer?" }, { "from": "gpt", "value": "18" } ]
[ { "from": "human", "value": "Let f(u) be the second derivative of -u**4/12 + u**3/2 + 3*u**2 - 2*u. Let k be f(4). Find the third derivative of -3*b**2 + 5*b**2 - b**3 + 0*b**k wrt b." }, { "from": "gpt", "value": "-6" } ]
[ { "from": "human", "value": "Find the common denominator of 85/174 and -46/87." }, { "from": "gpt", "value": "174" } ]
[ { "from": "human", "value": "Suppose -13*f + 60 = -7*f. Suppose 7*p = 4*p + 5*b - 8, -5*b + 28 = 2*p. Let n be 5 + 2/p*0. Solve f = -2*d - 0, o - n*d = 24 for o." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Calculate -25517.67 - 3." }, { "from": "gpt", "value": "-25520.67" } ]
[ { "from": "human", "value": "How many nanograms are there in 0.7965426g?" }, { "from": "gpt", "value": "796542600" } ]
[ { "from": "human", "value": "What is 366 minutes before 10:05 AM?" }, { "from": "gpt", "value": "3:59 AM" } ]
[ { "from": "human", "value": "Let a(w) = -35*w**2 - 3*w - 5. Let l(m) = -34*m**2 - 4*m - 6. Determine 4*a(c) - 3*l(c)." }, { "from": "gpt", "value": "-38*c**2 - 2" } ]
[ { "from": "human", "value": "What is the next term in 77, 159, 245, 335, 429, 527, 629?" }, { "from": "gpt", "value": "735" } ]
[ { "from": "human", "value": "Solve -3*y + 10 - 4 = 0 for y." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "In base 2, what is -101111 - -1?" }, { "from": "gpt", "value": "-101110" } ]
[ { "from": "human", "value": "In base 11, what is 251 + 0?" }, { "from": "gpt", "value": "251" } ]
[ { "from": "human", "value": "Let h = 0 + 5. Let v be (-18)/(-45) - (-18)/h. Is v bigger than 4?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What is 848 divided by 424?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Collect the terms in a**3 - 33901*a + 33901*a." }, { "from": "gpt", "value": "a**3" } ]
[ { "from": "human", "value": "How many grams are there in 1/4 of a kilogram?" }, { "from": "gpt", "value": "250" } ]
[ { "from": "human", "value": "Solve -41*c = -36*c - 25 for c." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Let 2*w**5/15 + 68*w**4/15 + 398*w**3/15 - 156*w**2/5 = 0. Calculate w." }, { "from": "gpt", "value": "-26, -9, 0, 1" } ]
[ { "from": "human", "value": "What is 149 minutes after 7:14 AM?" }, { "from": "gpt", "value": "9:43 AM" } ]
[ { "from": "human", "value": "Let k = 0.01 + 1.99. Let q = -1 + 6. Suppose -l + 2*f = 2, q*l + 4 = -4*f - 6. Do k and l have the same value?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Sort -16, 5, 7, 3 in increasing order." }, { "from": "gpt", "value": "-16, 3, 5, 7" } ]
[ { "from": "human", "value": "How many centimeters are there in 15/16 of a kilometer?" }, { "from": "gpt", "value": "93750" } ]
[ { "from": "human", "value": "Let v = -1 - 2. Let n = 1969 + -1967. What is the closest to 0.1 in v, n, 3?" }, { "from": "gpt", "value": "n" } ]
[ { "from": "human", "value": "What is the hundreds digit of 25699?" }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "Let g be (2/5)/(5/100). Suppose -g = -4*x - 0*x. Let t be (x + 0)/((-2)/(-3)). Solve 4*w - 22 = -3*o, -5*o = 5*w - t*w - 18 for o." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Is -444 >= 0.1?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Sort -5, -19, 5, -1/4 in ascending order." }, { "from": "gpt", "value": "-19, -5, -1/4, 5" } ]
[ { "from": "human", "value": "Rearrange 2 - 9*o**2 - 1 - 1 to the form v + t*o**2 + r*o and give t." }, { "from": "gpt", "value": "-9" } ]
[ { "from": "human", "value": "Product of -0.12 and -0.4." }, { "from": "gpt", "value": "0.048" } ]
[ { "from": "human", "value": "-200*-0.1" }, { "from": "gpt", "value": "20" } ]
[ { "from": "human", "value": "Let q(w) be the first derivative of 3*w**2 + 20. Let k(y) = -5*y. Give -3*k(z) - 2*q(z)." }, { "from": "gpt", "value": "3*z" } ]
[ { "from": "human", "value": "-6 (base 13) to base 15" }, { "from": "gpt", "value": "-6" } ]
[ { "from": "human", "value": "Work out -0.1 * -65." }, { "from": "gpt", "value": "6.5" } ]
[ { "from": "human", "value": "Is 768041 a composite number?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Is 1071 a multiple of 75?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What comes next: 7, 56, 131, 226, 335, 452, 571, 686?" }, { "from": "gpt", "value": "791" } ]
[ { "from": "human", "value": "Which is the closest to 303? (a) 0.1 (b) -2/3 (c) 4/3 (d) -1/7 (e) 1" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "-8*-0.07" }, { "from": "gpt", "value": "0.56" } ]
[ { "from": "human", "value": "Let f(l) be the first derivative of -2*l**7/21 - l**4/4 - 5*l - 3. Let d(a) be the first derivative of f(a). What is the third derivative of d(k) wrt k?" }, { "from": "gpt", "value": "-240*k**2" } ]
[ { "from": "human", "value": "What is 249 minutes after 3:21 PM?" }, { "from": "gpt", "value": "7:30 PM" } ]
[ { "from": "human", "value": "What is the square root of 2758 to the nearest integer?" }, { "from": "gpt", "value": "53" } ]
[ { "from": "human", "value": "Let w be 3 - (-2 + 2)/(-2). Let f be 1/(3/(w + 3)). Solve -q = -4*u + u + 5, -2*q = -f*u - 2 for u." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "What is the value of (-12)/77 + (-186)/682?" }, { "from": "gpt", "value": "-3/7" } ]
[ { "from": "human", "value": "Let l = 11 - 9. Which is the second smallest value? (a) l (b) 0.5 (c) -2/7" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "What is the value of 9/42*56/21?" }, { "from": "gpt", "value": "4/7" } ]
[ { "from": "human", "value": "What is the third biggest value in 0.4, 5, 307?" }, { "from": "gpt", "value": "0.4" } ]
[ { "from": "human", "value": "What is 22/(-26) + 8/(-52)?" }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "What is next in -95, -97, -111, -143, -199, -285?" }, { "from": "gpt", "value": "-407" } ]
[ { "from": "human", "value": "Is -3 less than or equal to 0.008?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What is the value of (5 + -7 - -5) + -7 + 3?" }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Solve 4*s = -31*s - 15*s for s." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Find the third derivative of -2109*g**4 + 2*g**2 - 6*g wrt g." }, { "from": "gpt", "value": "-50616*g" } ]
[ { "from": "human", "value": "(4*(-2)/10)/((-84)/30)" }, { "from": "gpt", "value": "2/7" } ]
[ { "from": "human", "value": "Suppose -3*o = o - 112. Suppose 3*q + q - 60 = 0. What is the remainder when o is divided by q?" }, { "from": "gpt", "value": "13" } ]
[ { "from": "human", "value": "What is -69955 - -2?" }, { "from": "gpt", "value": "-69953" } ]
[ { "from": "human", "value": "Let p(c) = c**2 - 6*c + 3. Let m be p(6). Let x(u) = u**2 - 2*u - 3. Let k be x(m). Let d be (k + (3 - 2))*-3. Let y(l) = -l**2 - 2. Calculate y(d)." }, { "from": "gpt", "value": "-11" } ]
[ { "from": "human", "value": "Differentiate 259421172*m - 207228920." }, { "from": "gpt", "value": "259421172" } ]
[ { "from": "human", "value": "Let t = -3567 - -5366. Is t prime?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "((-3)/4)/(51/(-136))" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Suppose -5 = -3*a + 16. Is a <= 8?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Sort 0, -1, -3, 7, 11 in increasing order." }, { "from": "gpt", "value": "-3, -1, 0, 7, 11" } ]
[ { "from": "human", "value": "Is 2 a factor of 405?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Let z be -3*(3 - 87/9). Let f be (z - 3) + 0 - 0. Calculate the greatest common factor of 34 and f." }, { "from": "gpt", "value": "17" } ]
[ { "from": "human", "value": "Let v be 12*3/((-18)/(-8)). Suppose -7*h + v = -3*h. Solve n + 0 = -h for n." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Let d = 10 + -6. Solve b - d*b = 4*y + 13, 4*b - 4*y = -8 for b." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Let x(f) = f**3 + 3*f**2 + f - 3. Let o be x(-2). Let v(q) = -2*q - 4. Let y be v(-4). Which is the closest to o? (a) 2/3 (b) -2/5 (c) y" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "What is the d'th term of -67, -135, -203, -271?" }, { "from": "gpt", "value": "1 - 68*d" } ]
[ { "from": "human", "value": "2 divided by 593" }, { "from": "gpt", "value": "2/593" } ]
[ { "from": "human", "value": "Suppose -3*s = -5*p + 29, 5*s + 2*p + 73 = 4. Let g be (-4)/10 - s/20. Let q = 3.1 - 2.6. Which is the second smallest value? (a) g (b) 2/3 (c) q" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "How many minutes are there between 3:41 PM and 7:55 PM?" }, { "from": "gpt", "value": "254" } ]
[ { "from": "human", "value": "What is the t'th term of 12, 97, 238, 435, 688?" }, { "from": "gpt", "value": "28*t**2 + t - 17" } ]
[ { "from": "human", "value": "Simplify (3 + 2*sqrt(112) + -5)**2." }, { "from": "gpt", "value": "452 - 32*sqrt(7)" } ]
[ { "from": "human", "value": "Let l(m) = -5*m + 2*m**2 + m**2 - 4*m**2. Let f be l(-4). Suppose 0 = -0*x + f*x. Solve x = 5*w, 4*w = -5*g - 17 - 3 for g." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "What is 71 + 0.253871?" }, { "from": "gpt", "value": "71.253871" } ]
[ { "from": "human", "value": "Calculate (4/(-7))/((-1)/(-7))." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Which is the closest to -3/16? (a) -4 (b) -10/19 (c) -0.4 (d) 18.4" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Solve -2*r = -19*r + 282 + 58 for r." }, { "from": "gpt", "value": "20" } ]
[ { "from": "human", "value": "Round -2873000 to the nearest one hundred thousand." }, { "from": "gpt", "value": "-2900000.0" } ]
[ { "from": "human", "value": "What is the closest to -0.3 in 1, 11/6, 2?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Which is the closest to 1.7? (a) 0 (b) -0.5 (c) -1" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Let q(x) = x**2. Let a(p) be the first derivative of 1 + 0*p**3 + p**2 + 0*p**4 + 0*p + 1/30*p**5. Let b(o) be the second derivative of a(o). Give q(b(g))." }, { "from": "gpt", "value": "4*g**4" } ]
[ { "from": "human", "value": "What is 4231 to the power of 1/2, to the nearest integer?" }, { "from": "gpt", "value": "65" } ]
[ { "from": "human", "value": "Let b(t) be the second derivative of -2*t**6/3 - 3*t**5/5 + 24*t. What is k in b(k) = 0?" }, { "from": "gpt", "value": "-3/5, 0" } ]