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[ { "from": "human", "value": "Suppose -2*c + 7*c + 20 = 0. Let z(p) = -p - 13. Let y be z(-8). Let r = 0 + y. Sort c, r, -3." }, { "from": "gpt", "value": "r, c, -3" } ]
[ { "from": "human", "value": "8 - (10 - (6 - 0))" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Suppose -4*i**3 + 46*i**2 + 82*i - 52 = 0. What is i?" }, { "from": "gpt", "value": "-2, 1/2, 13" } ]
[ { "from": "human", "value": "What is -4 - -0.007?" }, { "from": "gpt", "value": "-3.993" } ]
[ { "from": "human", "value": "Let g(n) = -8*n - 6. Let r(v) = 7*v + 5. Let d(i) = -5*g(i) - 6*r(i). Let b(o) be the first derivative of 2*o**3 - 1. Give b(d(c))." }, { "from": "gpt", "value": "24*c**2" } ]
[ { "from": "human", "value": "Which is the closest to 1/23? (a) -1 (b) 1/10 (c) -3" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "What is the nearest to -11 in 4/5, -0.3, -2?" }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Let i = 8 + -4. Suppose 3*s - 2*s = 6. Let j = i + s. What is the remainder when 37 is divided by j?" }, { "from": "gpt", "value": "7" } ]
[ { "from": "human", "value": "What is the tenth root of 1623 to the nearest integer?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "What is (2300/36)/23 - (-4)/18?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "What is the ninth root of 83766192 to the nearest integer?" }, { "from": "gpt", "value": "8" } ]
[ { "from": "human", "value": "What is -9 divided by 46?" }, { "from": "gpt", "value": "-9/46" } ]
[ { "from": "human", "value": "2530 divided by 5" }, { "from": "gpt", "value": "506" } ]
[ { "from": "human", "value": "What is -0.000684054 rounded to six dps?" }, { "from": "gpt", "value": "-0.000684" } ]
[ { "from": "human", "value": "Let y(m) = m. Let z be y(2). Let l(t) = 3*t - 5*t**z - 3*t. Let a(n) = -2*n. Determine l(a(p))." }, { "from": "gpt", "value": "-20*p**2" } ]
[ { "from": "human", "value": "Solve z + 3 + 3 = 3*n, 3*z + 11 = 2*n for n." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Let r = -1.2 + 1.3. Let z(q) = -q**2 + 2*q + 5. Let h be z(5). Let k = h - -6. What is the smallest value in k, 4, r?" }, { "from": "gpt", "value": "k" } ]
[ { "from": "human", "value": "Evaluate (2/6)/(-1)*(-54)/(-48)." }, { "from": "gpt", "value": "-3/8" } ]
[ { "from": "human", "value": "List the prime factors of 276." }, { "from": "gpt", "value": "2, 3, 23" } ]
[ { "from": "human", "value": "What is the k'th term of -33, -45, -79, -141, -237, -373, -555?" }, { "from": "gpt", "value": "-k**3 - 5*k**2 + 10*k - 37" } ]
[ { "from": "human", "value": "Which is the nearest to -7? (a) -0.3 (b) -2/7 (c) -54 (d) -0.5" }, { "from": "gpt", "value": "d" } ]
[ { "from": "human", "value": "List the prime factors of 1976605735." }, { "from": "gpt", "value": "5, 13, 563, 54013" } ]
[ { "from": "human", "value": "Let b be 236/6*(-3)/(-2). Suppose 3*a = w + 3*w + b, -107 = -5*a - 2*w. Let o = a - 104/5. Are o and -1 equal?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Solve 0 = 5*m + 3*y + 30, -1 = 5*m + y + 19 for m." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "What is the tens digit of 25707?" }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Solve -2*r + 0 = -4 for r." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Let p = 79 + -235/3. Let t(v) be the first derivative of 2 - 4*v**2 + p*v**3 + 8*v. What is y in t(y) = 0?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Solve 132 = -20*d - 68 for d." }, { "from": "gpt", "value": "-10" } ]
[ { "from": "human", "value": "Find the common denominator of -31/160 and -9/20." }, { "from": "gpt", "value": "160" } ]
[ { "from": "human", "value": "Suppose 0 = 4*t + 4*s - 28, t + 4*s - 31 = -4*t. Let j(w) = 1 - 2*w. Let v be 2/2 - 3*1. Let a be j(v). Solve t*y + 18 = 4*b, -4*b - b = -a*y - 25 for y." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Let c be (1 + -1)/((-15)/5). Let n be (c + 1)/(10/(-3010)). Let p = n + 632. Is p prime?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What is the third derivative of -6*v**5*z - 55*v**4*z**2 + 3*v**2*z**2 + 8*v**2 wrt v?" }, { "from": "gpt", "value": "-360*v**2*z - 1320*v*z**2" } ]
[ { "from": "human", "value": "Evaluate 4/(-4)*(-2)/(6/3)." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Let m = 2 - -2. Let y be (2 + 1)/(-2 + 2/m). Let p(t) = 3*t**2 + 2*t + 6. What are the prime factors of p(y)?" }, { "from": "gpt", "value": "2, 7" } ]
[ { "from": "human", "value": "Calculate (108/162)/((-1)/(2/(-3)))." }, { "from": "gpt", "value": "4/9" } ]
[ { "from": "human", "value": "Find the third derivative of 2*v**4 + 141*v**3 + 475*v**2." }, { "from": "gpt", "value": "48*v + 846" } ]
[ { "from": "human", "value": "In base 4, what is -1 - 13?" }, { "from": "gpt", "value": "-20" } ]
[ { "from": "human", "value": "Subtract 1 from 22809." }, { "from": "gpt", "value": "22808" } ]
[ { "from": "human", "value": "How many minutes are there between 12:59 PM and 10:12 PM?" }, { "from": "gpt", "value": "553" } ]
[ { "from": "human", "value": "Calculate the remainder when 269 is divided by 208." }, { "from": "gpt", "value": "61" } ]
[ { "from": "human", "value": "Calculate the remainder when 122832571 is divided by 433." }, { "from": "gpt", "value": "430" } ]
[ { "from": "human", "value": "What is the tenth root of 8736 to the nearest integer?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Evaluate ((-21)/9)/((-5)/180*-12)." }, { "from": "gpt", "value": "-7" } ]
[ { "from": "human", "value": "Solve -15*l - 246 = -141 for l." }, { "from": "gpt", "value": "-7" } ]
[ { "from": "human", "value": "Find i, given that -5*i**4/6 - 59*i**3/2 - 115*i**2/3 + 46*i + 68/3 = 0." }, { "from": "gpt", "value": "-34, -2, -2/5, 1" } ]
[ { "from": "human", "value": "Calculate (-8)/((-440)/(-45)) - -1." }, { "from": "gpt", "value": "2/11" } ]
[ { "from": "human", "value": "Is 913 < 1827/2?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "-4 times 83" }, { "from": "gpt", "value": "-332" } ]
[ { "from": "human", "value": "Let u(d) = -4*d. Let q(h) = 4 - 6*h**2. What is q(u(z))?" }, { "from": "gpt", "value": "4 - 96*z**2" } ]
[ { "from": "human", "value": "In base 9, what is 547 + -2527?" }, { "from": "gpt", "value": "-1870" } ]
[ { "from": "human", "value": "Let t be (-26)/(-4) + (-26)/(-52). Put t, -5, 5, 4, -7 in descending order." }, { "from": "gpt", "value": "t, 5, 4, -5, -7" } ]
[ { "from": "human", "value": "What is the w'th term of -270, -269, -268, -267, -266, -265?" }, { "from": "gpt", "value": "w - 271" } ]
[ { "from": "human", "value": "Let j(c) be the second derivative of 57*c**5/20 - 3*c**4/4 + c**3/6 + 4*c + 1. Find the third derivative of j(g) wrt g." }, { "from": "gpt", "value": "342" } ]
[ { "from": "human", "value": "Is 10 a factor of 1666?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What is the greatest common divisor of 2948 and 201?" }, { "from": "gpt", "value": "67" } ]
[ { "from": "human", "value": "Suppose 4*d - 436 = -5*t - 26, -3*t + 246 = -d. List the prime factors of t." }, { "from": "gpt", "value": "2, 41" } ]
[ { "from": "human", "value": "Let p be (2/3)/((-2)/(-6)). Let o be (-80)/(-30) - (-1)/3. Suppose -2*y = -o*y + p. Put y, 1, -5 in decreasing order." }, { "from": "gpt", "value": "y, 1, -5" } ]
[ { "from": "human", "value": "Let v = 23 - -25. Let j be v/(-69)*-3 + -2. Let l = -99/206 - 2/103. What is the nearest to -2/3 in -1, j, l?" }, { "from": "gpt", "value": "l" } ]
[ { "from": "human", "value": "Let p = -2.437 + 0.037. Which is greater: p or -2?" }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Suppose 3*s + 1 = -0*s - 4*y, s = -y. Let v = 3 - s. Solve -d = 0, -v*h - 2*d = -h for h." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "What is -10 divided by -3?" }, { "from": "gpt", "value": "10/3" } ]
[ { "from": "human", "value": "Let q(n) = -2*n - 3. Let i be q(-7). Let u(v) = v**2 + 1 + 4 - 5*v + i*v. Let s be u(-5). Solve p + s = -3 for p." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Let q = 63 - 19. Let a(v) = 4*v - 10. Let h be a(4). Let m be (q/h)/(8/12). Calculate the greatest common factor of m and 11." }, { "from": "gpt", "value": "11" } ]
[ { "from": "human", "value": "Let r(z) = z - 4. Let n(s) = 1. Let y(v) = 5*n(v) + r(v). Let d(j) = 1 - 4*j. Give -d(l) - y(l)." }, { "from": "gpt", "value": "3*l - 2" } ]
[ { "from": "human", "value": "Suppose -2*n - 10 = -4*n. Put n, -8, 3 in decreasing order." }, { "from": "gpt", "value": "n, 3, -8" } ]
[ { "from": "human", "value": "What is 19/4 of a hour in minutes?" }, { "from": "gpt", "value": "285" } ]
[ { "from": "human", "value": "Is 14484 a multiple of 34?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let d(y) = y**2 + 9*y + 1. Let a be d(-9). Let z be ((-1)/2)/(a/(-18)). Suppose -z = -0*c - 3*c. What is the units digit of c?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "3680 divided by 10" }, { "from": "gpt", "value": "368" } ]
[ { "from": "human", "value": "How many milligrams are there in 50.84037g?" }, { "from": "gpt", "value": "50840.37" } ]
[ { "from": "human", "value": "What comes next: -12, -49, -108, -189, -292, -417?" }, { "from": "gpt", "value": "-564" } ]
[ { "from": "human", "value": "Let b(z) = z**2 - 2*z - 1. Let p be b(-1). Suppose 0 = -0*k + 4*k. Let a be k*(1 - 3)/(-2). Solve s - p = -a*s for s." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Let a be 5 - 128/(-48)*(-6)/8. Solve a*n - 5*l = 22, 6*n + 4*l + 23 = 3*n for n." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Solve -18*u + 10 = -16*u for u." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Calculate 1 - -26844." }, { "from": "gpt", "value": "26845" } ]
[ { "from": "human", "value": "Solve a**2/4 + 29*a/2 - 30 = 0." }, { "from": "gpt", "value": "-60, 2" } ]
[ { "from": "human", "value": "Factor -2*b**3/5 + 344*b**2/5 - 14792*b/5." }, { "from": "gpt", "value": "-2*b*(b - 86)**2/5" } ]
[ { "from": "human", "value": "Suppose -4*s = -4*t, 3 + 1 = 2*t - s. Suppose 2*f + 7 + 1 = 0, -t*f + 14 = 5*i. Solve -2*p - p = i for p." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Is 19597 prime?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "-46 * 2" }, { "from": "gpt", "value": "-92" } ]
[ { "from": "human", "value": "15/(345/4)*(-2)/(-4)" }, { "from": "gpt", "value": "2/23" } ]
[ { "from": "human", "value": "Let l = -21.34 - -0.34. Let n = 23 + l. Which is the smallest value? (a) 0.2 (b) n (c) -5/3" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Calculate prob of sequence og when two letters picked without replacement from {g: 1, d: 3, o: 3}." }, { "from": "gpt", "value": "1/14" } ]
[ { "from": "human", "value": "What is the r'th term of 72, 56, 40, 24, 8, -8?" }, { "from": "gpt", "value": "88 - 16*r" } ]
[ { "from": "human", "value": "What is the d'th term of -2, 0, 18, 58, 126, 228, 370?" }, { "from": "gpt", "value": "d**3 + 2*d**2 - 11*d + 6" } ]
[ { "from": "human", "value": "Evaluate ((-14)/(-5) + -2)/(4/(-20))." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Calculate (-9 - -11) + (-1 - 7)." }, { "from": "gpt", "value": "-6" } ]
[ { "from": "human", "value": "What comes next: -22, -99, -230, -415, -654, -947, -1294?" }, { "from": "gpt", "value": "-1695" } ]
[ { "from": "human", "value": "Let o = -532 - -501.7. Let h = 30.133 + o. Round h to 2 dps." }, { "from": "gpt", "value": "-0.17" } ]
[ { "from": "human", "value": "Suppose -13 = 3*d - 73. Is 4 a factor of d?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "-12 + (-5 - -24) - 12" }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Solve 2*b - 3 = 3, -3*s + 12 = 4*b for s." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Calculate the common denominator of -119/50 and 61/275." }, { "from": "gpt", "value": "550" } ]
[ { "from": "human", "value": "How many minutes are there between 1:18 PM and 6:42 PM?" }, { "from": "gpt", "value": "324" } ]
[ { "from": "human", "value": "Is 20 not equal to 150/7?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What is the value of 1 - -2 - (-3 + (9 - 0))?" }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Put together -2 and -10.05." }, { "from": "gpt", "value": "-12.05" } ]
[ { "from": "human", "value": "Let m be (6 + -5)*(1 + 0). Which is bigger: 2 or m?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Let u be 41 - (1 + -2 - 0). Suppose 3*s = -k + 4*k - u, 20 = -5*s. Suppose 0 = 4*i + 4, 5*g + i - 19 = 0. What is the greatest common factor of k and g?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Let c be 2/((-20)/(-3))*5*2. Solve 0 + 5 = 5*l + 3*x, -x = -c*l - 11 for l." }, { "from": "gpt", "value": "-2" } ]