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[ { "from": "human", "value": "Calculate the common denominator of -17/27 and -4/267." }, { "from": "gpt", "value": "2403" } ]
[ { "from": "human", "value": "Three letters picked without replacement from {k: 4, v: 4, p: 5, e: 2}. What is prob of sequence ppv?" }, { "from": "gpt", "value": "8/273" } ]
[ { "from": "human", "value": "Suppose 2*k - 2 = -4. Let q(n) = -n. Let m be q(k). Let t(v) = 11*v**3 - v**2 - v + 1. Let x be t(m). Solve j + 3*u + 0*u = x, -3*j = 3*u for j." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "What is the remainder when 239 is divided by 41?" }, { "from": "gpt", "value": "34" } ]
[ { "from": "human", "value": "Let j(u) = 3*u**2 - 5*u - 1. Let h(y) = 3*y - 3. Let v be h(-3). Let t = 10 + v. What is the tens digit of j(t)?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "What is (-405)/189 - 1/(-7)?" }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "In base 4, what is -23322 + -101?" }, { "from": "gpt", "value": "-30023" } ]
[ { "from": "human", "value": "In base 11, what is 50 + 10?" }, { "from": "gpt", "value": "60" } ]
[ { "from": "human", "value": "Let s be 11/(-9) - 4/(-18). Let v(o) = -8*o. Calculate the smallest common multiple of v(s) and 10." }, { "from": "gpt", "value": "40" } ]
[ { "from": "human", "value": "What comes next: 597, 1180, 1761, 2340?" }, { "from": "gpt", "value": "2917" } ]
[ { "from": "human", "value": "Simplify (sqrt(175) + -3)**2*-5*-5." }, { "from": "gpt", "value": "4600 - 750*sqrt(7)" } ]
[ { "from": "human", "value": "Solve -14*g - 15 = -17*g for g." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Solve -2*b = 4*g - 30, 5*b - 24 = 1 for g." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Let d = -0.7 - 0.1. Let k = d - 1.2. Sort k, -0.2, -3." }, { "from": "gpt", "value": "-3, k, -0.2" } ]
[ { "from": "human", "value": "Let u = 107 + -70. Let s = 34 - u. Which is the closest to -1/3? (a) 0.3 (b) -4/5 (c) s" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Let l(h) = 6*h**4 + 6*h**3 + 14*h**2 + 26*h - 20. Let c(b) = b**4 + b**3 + 3*b**2 + 5*b - 4. Let s(f) = -16*c(f) + 3*l(f). Factor s(p)." }, { "from": "gpt", "value": "2*(p - 1)**2*(p + 1)*(p + 2)" } ]
[ { "from": "human", "value": "How many litres are there in 440.9873 millilitres?" }, { "from": "gpt", "value": "0.4409873" } ]
[ { "from": "human", "value": "Solve -4*p = -5*r - 2, 0 = 2*p - 2*r - 12 + 10 for p." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Expand (49*r - 49*r + r**3 - 1)*(-274*r + 660*r - 324*r)." }, { "from": "gpt", "value": "62*r**4 - 62*r" } ]
[ { "from": "human", "value": "Let p = -4 + 8. Let h be 32/12*(-6)/p. What is the units digit of (-2 - h)*2/4?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "What is 676 minutes before 11:41 AM?" }, { "from": "gpt", "value": "12:25 AM" } ]
[ { "from": "human", "value": "Convert 1331 (base 5) to base 6." }, { "from": "gpt", "value": "1000" } ]
[ { "from": "human", "value": "Let g = 99 + -493/5. Let s = -0.3 + -0.2. What is the nearest to g in 4/7, s, 1/3?" }, { "from": "gpt", "value": "1/3" } ]
[ { "from": "human", "value": "Subtract -246 from -0.3." }, { "from": "gpt", "value": "245.7" } ]
[ { "from": "human", "value": "Suppose 0 = -4*w - 4*j + 227112, w = 5*w + 5*j - 227113. Is w prime?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What is 202 minutes before 11:00 PM?" }, { "from": "gpt", "value": "7:38 PM" } ]
[ { "from": "human", "value": "What is the remainder when 229 is divided by 63?" }, { "from": "gpt", "value": "40" } ]
[ { "from": "human", "value": "Solve -y + 32 - 30 = 0 for y." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "What is 100 (base 2) in base 14?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "What is -0.0003002 rounded to 5 dps?" }, { "from": "gpt", "value": "-0.0003" } ]
[ { "from": "human", "value": "Work out 8 * 1." }, { "from": "gpt", "value": "8" } ]
[ { "from": "human", "value": "What is the m'th term of -233, -393, -745, -1385, -2409, -3913, -5993?" }, { "from": "gpt", "value": "-16*m**3 - 48*m - 169" } ]
[ { "from": "human", "value": "Suppose -3*l + 2*l = -7. Solve -2*b - 25 = -l*b for b." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Let v(s) = s - 11. Let q be v(15). Solve -q*h + 15 = h for h." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "5 divided by 260" }, { "from": "gpt", "value": "1/52" } ]
[ { "from": "human", "value": "What is the remainder when 220 is divided by 23?" }, { "from": "gpt", "value": "13" } ]
[ { "from": "human", "value": "What is 2652 less than 0.07?" }, { "from": "gpt", "value": "-2651.93" } ]
[ { "from": "human", "value": "Is 162651 a prime number?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Let z = 283/2 - 134. Solve 6 - 21/2*r**2 - 12*r + z*r**3 = 0 for r." }, { "from": "gpt", "value": "-1, 2/5, 2" } ]
[ { "from": "human", "value": "What is 3 + -2 + 2 + -5 + 2?" }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Calculate (9 - (13 + 0)) + 4 + -2." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Let y = -159 + 3019/19. Let w = 52/133 + y. Which is the nearest to 0? (a) -5 (b) w (c) -3/2" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Let b(w) be the third derivative of 599*w**5/150 - w**4/30 - 1722*w**2 - 3. Factor b(p)." }, { "from": "gpt", "value": "2*p*(599*p - 2)/5" } ]
[ { "from": "human", "value": "How many litres are there in 520762.1ml?" }, { "from": "gpt", "value": "520.7621" } ]
[ { "from": "human", "value": "Let c be (-3)/(7/((-294)/(-9))). Let i = c - -92. What are the prime factors of i?" }, { "from": "gpt", "value": "2, 3, 13" } ]
[ { "from": "human", "value": "Let v(i) = 3*i**3 + i**2 - 2*i + 2. Let a be v(-2). Let n be -8 + 7 - a/(-1). What is the tens digit of 10/n - (-100)/6?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "What is -68 divided by 34?" }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "In base 4, what is -31 - -20?" }, { "from": "gpt", "value": "-11" } ]
[ { "from": "human", "value": "Sum -221 and -2.53." }, { "from": "gpt", "value": "-223.53" } ]
[ { "from": "human", "value": "What is next in -3705, -3705, -3707, -3711, -3717, -3725, -3735?" }, { "from": "gpt", "value": "-3747" } ]
[ { "from": "human", "value": "Differentiate -5*r**2*v**4 + 126*r**2 + 13*r*v**4 with respect to v." }, { "from": "gpt", "value": "-20*r**2*v**3 + 52*r*v**3" } ]
[ { "from": "human", "value": "What is the remainder when 65499 is divided by 963?" }, { "from": "gpt", "value": "15" } ]
[ { "from": "human", "value": "What is (1/2)/((-3)/15*-5)?" }, { "from": "gpt", "value": "1/2" } ]
[ { "from": "human", "value": "In base 7, what is 3 + -3206?" }, { "from": "gpt", "value": "-3203" } ]
[ { "from": "human", "value": "What is 1560 to the power of 1/3, to the nearest integer?" }, { "from": "gpt", "value": "12" } ]
[ { "from": "human", "value": "Calculate prob of picking 1 l, 1 f and 1 g when three letters picked without replacement from {l: 8, f: 2, g: 2, p: 3, n: 1, y: 1}." }, { "from": "gpt", "value": "4/85" } ]
[ { "from": "human", "value": "What is the remainder when 165 is divided by 42?" }, { "from": "gpt", "value": "39" } ]
[ { "from": "human", "value": "Suppose -2*n = n - 9. Suppose 49*p - 52*p = 2*d - 81, 2*d - 31 = -p. Solve -w = -3*m - n - 2, -p = -4*m - 5*w for m." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Convert -3210425 (base 6) to base 12." }, { "from": "gpt", "value": "-76a15" } ]
[ { "from": "human", "value": "8/(-10) - 74/(-37)" }, { "from": "gpt", "value": "6/5" } ]
[ { "from": "human", "value": "In base 4, what is -13 - -123?" }, { "from": "gpt", "value": "110" } ]
[ { "from": "human", "value": "What are the prime factors of 1744?" }, { "from": "gpt", "value": "2, 109" } ]
[ { "from": "human", "value": "3 (base 16) to base 15" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Which is the second biggest value? (a) -1/7 (b) -0.023 (c) -7/3 (d) 1/4" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Suppose -3*z + 120 = 4*y - 91, -5*z + 109 = 2*y. Let k be 2/(-12) + y/24. Solve 3 = -3*o - 3*a, k = -2*o + 3*a - 15 for o." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Let h(s) = 4*s. Let z be h(5). Solve -9 = 3*p + 3*r, 0*p - 5*r = -2*p - z for p." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Which is the second smallest value? (a) 3 (b) 0.5 (c) 0.4 (d) 7/8 (e) 38" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "What is prob of picking 2 l and 1 y when three letters picked without replacement from {i: 5, y: 2, l: 2}?" }, { "from": "gpt", "value": "1/42" } ]
[ { "from": "human", "value": "What is the third root of 1883 to the nearest integer?" }, { "from": "gpt", "value": "12" } ]
[ { "from": "human", "value": "Solve 281*n + i = 284*n + 29, 3*n - 3*i - 5 = -4*i for n." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "What is the tens digit of 131?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Is 23717 composite?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What is the v'th term of 3859, 7720, 11581, 15442?" }, { "from": "gpt", "value": "3861*v - 2" } ]
[ { "from": "human", "value": "Is 1/5 less than 117/4?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Which is the nearest to -3? (a) -2 (b) -3 (c) 0.1 (d) 4" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Let z(g) = -2*g**3 - 4*g**2 - 2*g + 1. Let d(l) = -l - 2. Let m be d(0). Let v be z(m). Let j(t) = t**2 + t + 1. Is j(v) a prime number?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let y = -1 + -2. Let i = -0.29 + 0.18. Let x = 0.01 + i. Which is the third biggest value? (a) 0.2 (b) x (c) y" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Solve 0 = y + z - 2, 4*z - 3*z = -3*y + 12 for y." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Let b = -3/98 - 85/3626. Are b and -1 non-equal?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Calculate ((12/(-2))/3)/(14/56)." }, { "from": "gpt", "value": "-8" } ]
[ { "from": "human", "value": "Let f(p) = 12 - p. What is the remainder when f(-19) is divided by 19?" }, { "from": "gpt", "value": "12" } ]
[ { "from": "human", "value": "Solve 7*a + 22 = 18*a for a." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Find p, given that -p**3/5 - 102*p**2/5 - 576*p - 13824/5 = 0." }, { "from": "gpt", "value": "-48, -6" } ]
[ { "from": "human", "value": "Factor -64*n**2 + 5*n + 59*n**2 - 15*n." }, { "from": "gpt", "value": "-5*n*(n + 2)" } ]
[ { "from": "human", "value": "Calculate the greatest common divisor of 1026 and 1254." }, { "from": "gpt", "value": "114" } ]
[ { "from": "human", "value": "What is the greatest common factor of 217526 and 70638?" }, { "from": "gpt", "value": "122" } ]
[ { "from": "human", "value": "In base 5, what is -132111 + 0?" }, { "from": "gpt", "value": "-132111" } ]
[ { "from": "human", "value": "Let b = 18.3 + -18.4. Let r = -0.3 + -0.2. What is the nearest to 1/3 in r, b, 1/4?" }, { "from": "gpt", "value": "1/4" } ]
[ { "from": "human", "value": "Let z = 11 - 6. Let n(y) = -y**2 + 6*y - 2. Calculate the remainder when 11 is divided by n(z)." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "How many minutes are there between 10:46 AM and 5:17 PM?" }, { "from": "gpt", "value": "391" } ]
[ { "from": "human", "value": "Let x = -1 + 1. Let s = 0.16 - 0.26. Which is the closest to -0.1? (a) s (b) x (c) 4" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "In base 8, what is 3 + 410?" }, { "from": "gpt", "value": "413" } ]
[ { "from": "human", "value": "Let q(f) = 5*f**2 + f - 10. Calculate q(0)." }, { "from": "gpt", "value": "-10" } ]
[ { "from": "human", "value": "Sort 3/2, -14, -2 in descending order." }, { "from": "gpt", "value": "3/2, -2, -14" } ]
[ { "from": "human", "value": "Solve -2*x - 10 = -2*g, -3 = -4*g - 5*x - 28 for g." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Which is the nearest to 2? (a) 6/5 (b) 6 (c) 3 (d) 0.2" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Let v(i) = 1 - i. Let y be v(1). Let s = -11 - -11. Let d = s - y. Are d and -1 nonequal?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let m(q) = -36*q**2 - q. Let a be m(1). Let b = -26 - a. What is the tens digit of b?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "What is 0.000787 rounded to four decimal places?" }, { "from": "gpt", "value": "0.0008" } ]
[ { "from": "human", "value": "Let j = -142 + 996/7. What is the smallest value in j, 4, 0?" }, { "from": "gpt", "value": "0" } ]