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[ { "from": "human", "value": "Find the second derivative of 5*q**5*y + q**5 - 4*q**3 - 10*q*y - 3*q wrt q." }, { "from": "gpt", "value": "100*q**3*y + 20*q**3 - 24*q" } ]
[ { "from": "human", "value": "Which is the smallest value? (a) -1 (b) 2.8 (c) -3" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Convert -15 (base 14) to base 6." }, { "from": "gpt", "value": "-31" } ]
[ { "from": "human", "value": "What is the greatest common factor of 6 and 18?" }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "What is (-1 + 3)/(-4 - (1 + -7))?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "328+-0.2" }, { "from": "gpt", "value": "327.8" } ]
[ { "from": "human", "value": "(11 + 1 - 0) + -12" }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Let d(n) = -n**2 - n. Let i(o) = 5*o**2 + 8*o - 1. Let t(g) = 6*d(g) + i(g). Let v(r) be the first derivative of t(r). Find the first derivative of v(f) wrt f." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Solve -8 = -4*o + 2*v, -20 = -3*o - 2*v + 7*v for o." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Which is the closest to 3? (a) -5 (b) 2/9 (c) -6/29" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Suppose -2*x - 3028 = -4*x. Let a = x + -534. Round a to the nearest 100." }, { "from": "gpt", "value": "1000.0" } ]
[ { "from": "human", "value": "Convert 441577.17 minutes to days." }, { "from": "gpt", "value": "306.6508125" } ]
[ { "from": "human", "value": "Sort -1, 176, 4, 5 in increasing order." }, { "from": "gpt", "value": "-1, 4, 5, 176" } ]
[ { "from": "human", "value": "Let x = -1202 + 1211. Is x > 11?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What is the greatest common factor of 162 and 3618?" }, { "from": "gpt", "value": "54" } ]
[ { "from": "human", "value": "What is 175 minutes after 10:44 PM?" }, { "from": "gpt", "value": "1:39 AM" } ]
[ { "from": "human", "value": "Let q(d) = -d**3 - 9*d**2 - 6*d - 1. Is q(-9) composite?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Which is the second smallest value? (a) -0.1 (b) 504.7 (c) -5" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Let r = -582 - -861. Put -1/7, 0, r in ascending order." }, { "from": "gpt", "value": "-1/7, 0, r" } ]
[ { "from": "human", "value": "What is the s'th term of 143, 272, 401, 530?" }, { "from": "gpt", "value": "129*s + 14" } ]
[ { "from": "human", "value": "In base 8, what is -245 + 0?" }, { "from": "gpt", "value": "-245" } ]
[ { "from": "human", "value": "Let k(h) = -h**3 - h**2 + h + 3. Let q be k(0). Let m be 1/q - (-40)/15. Factor 0*l - 1/2*l**2 + 0 + 1/2*l**m." }, { "from": "gpt", "value": "l**2*(l - 1)/2" } ]
[ { "from": "human", "value": "What is the cube root of 31451 to the nearest integer?" }, { "from": "gpt", "value": "32" } ]
[ { "from": "human", "value": "Let b(m) = -2*m**3 - m**2 - 3*m - 6. Is b(-4) prime?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Let m = -1.1 + 1. Let f = 870/7 + -124. Which is the nearest to -0.1? (a) -0.4 (b) m (c) f" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Is 4/7 less than or equal to -118?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Solve 57*p - 7 = 335 for p." }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "Calculate the common denominator of 2/117 and -11/91." }, { "from": "gpt", "value": "819" } ]
[ { "from": "human", "value": "Calculate the greatest common divisor of 104 and 16." }, { "from": "gpt", "value": "8" } ]
[ { "from": "human", "value": "Solve 4*n - 24 = -4*w, 4*n + w = 10 + 2 for n." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "What is the closest to 0.2 in 17/9, -3/10, 2/3, 2?" }, { "from": "gpt", "value": "2/3" } ]
[ { "from": "human", "value": "What is -21 (base 5) in base 13?" }, { "from": "gpt", "value": "-b" } ]
[ { "from": "human", "value": "Calculate the smallest common multiple of 112 and 856." }, { "from": "gpt", "value": "11984" } ]
[ { "from": "human", "value": "What is the units digit of 2584?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Let w(m) = -299*m - 2. Let y(v) = 604*v + 5. Give -5*w(i) - 2*y(i)." }, { "from": "gpt", "value": "287*i" } ]
[ { "from": "human", "value": "Let f be 1/(-3) + (-14)/21. What is the smallest value in -5, 0, f?" }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Calculate -14004 divided by -4668." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Let x = 0.1 - -2.9. Let w = -1 + x. Let j = 0 + 1. What is the biggest value in j, 0.3, w?" }, { "from": "gpt", "value": "w" } ]
[ { "from": "human", "value": "Let r = 60/11 - 562/99. Let t = 30 - 59/2. What is the closest to t in 2/3, -5, r?" }, { "from": "gpt", "value": "2/3" } ]
[ { "from": "human", "value": "Let l = -5 - -2. Let h be 1*(-2 + 10 + l). Which is the nearest to -2/7? (a) h (b) 2/17 (c) 4" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Let s(n) = 2*n**2. Let d(h) = 15*h + 0 - 5*h**2 - 17*h + 0. Give s(d(y))." }, { "from": "gpt", "value": "50*y**4 + 40*y**3 + 8*y**2" } ]
[ { "from": "human", "value": "Let s be ((-115)/(-2))/((-1)/(-2)). Suppose 7*h = -4 + 326. What is the highest common factor of s and h?" }, { "from": "gpt", "value": "23" } ]
[ { "from": "human", "value": "Round -26660 to the nearest ten thousand." }, { "from": "gpt", "value": "-30000.0" } ]
[ { "from": "human", "value": "Suppose 3*f - 27 = -5*x, 5*f - 11 = 8*x - 5*x. Solve 12 = d - f*d for d." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "What is eleven halves of a litre in millilitres?" }, { "from": "gpt", "value": "5500" } ]
[ { "from": "human", "value": "What is 2089 to the power of 1/9, to the nearest integer?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "How many minutes are there between 12:53 PM and 1:32 PM?" }, { "from": "gpt", "value": "39" } ]
[ { "from": "human", "value": "Is -92/47 <= -1?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What is the tens digit of 833?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Is 121133 a prime number?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Let i(c) be the first derivative of c**6/4 + 3*c**5/10 - 3*c**4/4 - c**3 + 3*c**2/4 + 3*c/2 - 15. Factor i(k)." }, { "from": "gpt", "value": "3*(k - 1)**2*(k + 1)**3/2" } ]
[ { "from": "human", "value": "Let p be (-21)/(-66)*-12 + 3. Let h = 719/22 - p. Find the common denominator of -52/9 and h." }, { "from": "gpt", "value": "18" } ]
[ { "from": "human", "value": "Solve 21539 = -740*a + 2578*a + 28079 + 28382 for a." }, { "from": "gpt", "value": "-19" } ]
[ { "from": "human", "value": "Let r(c) be the third derivative of c**2 - 1/12*c**4 - 2/3*c**3 + 0 + 1/30*c**5 + 0*c. Factor r(y)." }, { "from": "gpt", "value": "2*(y - 2)*(y + 1)" } ]
[ { "from": "human", "value": "In base 6, what is -232 - -21?" }, { "from": "gpt", "value": "-211" } ]
[ { "from": "human", "value": "Solve -7*h + 54 = -61*h for h." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "What is next in -23, -36, -27, 16, 105, 252?" }, { "from": "gpt", "value": "469" } ]
[ { "from": "human", "value": "Let p = -158.1 - -150. Let r = p + 8. Sort r, 3/5, -2/5 in descending order." }, { "from": "gpt", "value": "3/5, r, -2/5" } ]
[ { "from": "human", "value": "Let w = 177 - 123. Let p be (6 + -14 - -14) + 12. What is the greatest common factor of p and w?" }, { "from": "gpt", "value": "18" } ]
[ { "from": "human", "value": "-191.3 + 3" }, { "from": "gpt", "value": "-188.3" } ]
[ { "from": "human", "value": "Is 12569 a composite number?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Evaluate (-1)/(-4) + (-4)/144." }, { "from": "gpt", "value": "2/9" } ]
[ { "from": "human", "value": "Factor o**3 + 327*o**2/7 + 228*o/7 - 92/7." }, { "from": "gpt", "value": "(o + 1)*(o + 46)*(7*o - 2)/7" } ]
[ { "from": "human", "value": "Convert 958494.5 litres to millilitres." }, { "from": "gpt", "value": "958494500" } ]
[ { "from": "human", "value": "Let a be (-1)/(3 - 93/30). Suppose 3*g - 8*g = -a. Sort -4, -1, g." }, { "from": "gpt", "value": "-4, -1, g" } ]
[ { "from": "human", "value": "How many minutes are there between 8:04 PM and 6:45 AM?" }, { "from": "gpt", "value": "641" } ]
[ { "from": "human", "value": "What are the prime factors of 14395?" }, { "from": "gpt", "value": "5, 2879" } ]
[ { "from": "human", "value": "Does 44 divide 2568?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Suppose 2*j - 1 = j. Calculate the remainder when 38 is divided by j - -1 - -18*1." }, { "from": "gpt", "value": "18" } ]
[ { "from": "human", "value": "Round -0.0000144155 to seven decimal places." }, { "from": "gpt", "value": "-1.44e-05" } ]
[ { "from": "human", "value": "What is the hundreds digit of 60302?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Which is the nearest to 0? (a) 1/2 (b) 2 (c) -7/3 (d) -38" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Is 49429 composite?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Let f be (-10)/(-3) - (-3)/(-9). Suppose 5*n + u = 4*u + 19, -2*u = -n + 8. Let t(g) = 2*g - g**2 + n*g**2 - 4*g - 3. Determine t(f)." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "List the prime factors of 856." }, { "from": "gpt", "value": "2, 107" } ]
[ { "from": "human", "value": "Let k(f) = 16*f. Suppose -4 = 5*h - 9. What is the smallest common multiple of k(h) and 16?" }, { "from": "gpt", "value": "16" } ]
[ { "from": "human", "value": "What is 121197 to the power of 1/3, to the nearest integer?" }, { "from": "gpt", "value": "49" } ]
[ { "from": "human", "value": "What is the x'th term of -35, -191, -437, -761, -1151, -1595, -2081?" }, { "from": "gpt", "value": "2*x**3 - 57*x**2 + x + 19" } ]
[ { "from": "human", "value": "78 divided by -4" }, { "from": "gpt", "value": "-39/2" } ]
[ { "from": "human", "value": "What is 107.48 less than 8.9?" }, { "from": "gpt", "value": "-98.58" } ]
[ { "from": "human", "value": "-90.48 * -1" }, { "from": "gpt", "value": "90.48" } ]
[ { "from": "human", "value": "Solve -2*j = -0*n - 2*n + 2, -21 = -n + 5*j for n." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Which is the nearest to 0.1? (a) -2/7 (b) 0.5 (c) 6/11" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "-83978 divided by 41989" }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Solve 0 = 2*q - 6, -5*o + 3 = -3*q + 2 for o." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Let y = -1592 + 1816. Which is the smallest value? (a) 5 (b) 4 (c) y" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Let s = 9 - 0. Suppose -s + 90 = 3*z. Is z a multiple of 9?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Divide -2665 by -3." }, { "from": "gpt", "value": "2665/3" } ]
[ { "from": "human", "value": "Solve -3*d + 7 = 10 for d." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Does 5 divide 1058?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What is (-4)/(-49)*(-105)/(-90)?" }, { "from": "gpt", "value": "2/21" } ]
[ { "from": "human", "value": "What is 18172 to the power of 1/2, to the nearest integer?" }, { "from": "gpt", "value": "135" } ]
[ { "from": "human", "value": "What is the hundreds digit of 3268?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Suppose -3*u + 2 = 2*f - f, -5*f = -4*u - 10. Let s be 4/(-6)*9/(-2). Suppose z = s*z - 36. What is the lowest common multiple of f and z?" }, { "from": "gpt", "value": "18" } ]
[ { "from": "human", "value": "Is 5701453 a prime number?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Subtract -0.0426 from 3.119." }, { "from": "gpt", "value": "3.1616" } ]
[ { "from": "human", "value": "What is the units digit of 3664?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Calculate the remainder when 10 is divided by 8." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Find the first derivative of 387*h - 642." }, { "from": "gpt", "value": "387" } ]
[ { "from": "human", "value": "How many minutes are there between 4:56 PM and 2:48 AM?" }, { "from": "gpt", "value": "592" } ]