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math

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[ { "from": "human", "value": "In base 10, what is -17 - -45?" }, { "from": "gpt", "value": "28" } ]
[ { "from": "human", "value": "Solve -y**4 + 2*y**3 + 11*y**2 - 12*y - 36 = 0 for y." }, { "from": "gpt", "value": "-2, 3" } ]
[ { "from": "human", "value": "Let 1/3*t**2 + 0 + 2/3*t = 0. Calculate t." }, { "from": "gpt", "value": "-2, 0" } ]
[ { "from": "human", "value": "How many minutes are there between 7:42 AM and 5:54 PM?" }, { "from": "gpt", "value": "612" } ]
[ { "from": "human", "value": "Let h = -21 + 21. Solve h = -0*p - p - 4 for p." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "0 - 30.34" }, { "from": "gpt", "value": "-30.34" } ]
[ { "from": "human", "value": "Let y(p) = -12*p - 2. Let k be y(4). Let f = 13 - k. Suppose -b + r = -2*b + 6, 4*b = -5*r + 21. What is the greatest common factor of b and f?" }, { "from": "gpt", "value": "9" } ]
[ { "from": "human", "value": "Find the second derivative of -768237031*p**2 - 2*p - 2550492 wrt p." }, { "from": "gpt", "value": "-1536474062" } ]
[ { "from": "human", "value": "Put 18, -3, 8 in decreasing order." }, { "from": "gpt", "value": "18, 8, -3" } ]
[ { "from": "human", "value": "Suppose 0 = -3*o - 3*z + 6, 4*z + 18 = 5*o - 1. Suppose t = 3*n - 9, 5*n = o*n - t + 6. Solve 2*w - 2*d = 10, -2*d = n*w - 7*d - 17 for w." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Suppose -4*a + 3*a = -5. Solve p + a = -3*s, 0*s - 2*s + 4*p + 20 = 0 for s." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Is 37667 prime?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Let s(v) = -v**2 + 6*v. Let x be s(6). Let l = 283340 + -283320. Solve -3*m + 7*m - l = x for m." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "What is the value of 24/(-16)*2/6*0?" }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "What comes next: -101, -235, -355, -455, -529, -571, -575, -535?" }, { "from": "gpt", "value": "-445" } ]
[ { "from": "human", "value": "Work out 1 * 307." }, { "from": "gpt", "value": "307" } ]
[ { "from": "human", "value": "Suppose r = -i - 0*r - 240, 0 = -3*i + r - 728. Let a = i + 466. What are the prime factors of a?" }, { "from": "gpt", "value": "2, 7" } ]
[ { "from": "human", "value": "2 + (-4 - 20 - -6)" }, { "from": "gpt", "value": "-16" } ]
[ { "from": "human", "value": "Add together 0.7 and 98." }, { "from": "gpt", "value": "98.7" } ]
[ { "from": "human", "value": "In base 10, what is 23 - 11?" }, { "from": "gpt", "value": "12" } ]
[ { "from": "human", "value": "Suppose -2*t + 2*i + 22 = 0, 8 = t + 2*i - 0. Suppose 3*x - 22 = -4*s, 3*x + s + 0*s = t. Let g(b) = -2*b - 5. Let q be g(-5). Put x, 1, q in descending order." }, { "from": "gpt", "value": "q, x, 1" } ]
[ { "from": "human", "value": "What is next in -81247, -162493, -243739?" }, { "from": "gpt", "value": "-324985" } ]
[ { "from": "human", "value": "Suppose p + 30 = -0*p. Let o = 65 + p. Let h = o + -14. What is the remainder when h is divided by 11?" }, { "from": "gpt", "value": "10" } ]
[ { "from": "human", "value": "Factor 3*z**3/2 - 351*z**2/2." }, { "from": "gpt", "value": "3*z**2*(z - 117)/2" } ]
[ { "from": "human", "value": "What comes next: 104, 121, 138, 155, 172, 189?" }, { "from": "gpt", "value": "206" } ]
[ { "from": "human", "value": "In base 5, what is -2 - 142?" }, { "from": "gpt", "value": "-144" } ]
[ { "from": "human", "value": "What comes next: 76, 124, 176, 232, 292, 356, 424?" }, { "from": "gpt", "value": "496" } ]
[ { "from": "human", "value": "Let g = -76603 - -36703. What is g rounded to the nearest ten thousand?" }, { "from": "gpt", "value": "-40000.0" } ]
[ { "from": "human", "value": "Let o(k) = k**2 + 2*k - 2. Let q be o(3). Suppose 0*z - 30 = -f + 3*z, 3*f - z = 58. Let m = f + q. Does 14 divide m?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "71 times 4" }, { "from": "gpt", "value": "284" } ]
[ { "from": "human", "value": "What is 2405 to the power of 1/8, to the nearest integer?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Let h = 21 + -318. Let r = -106 - h. Is r prime?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Solve 8*d + 25 = -7 for d." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Is 16897 a composite number?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let x be 3*(-5 + 0 - -4). Is -8/5 < x?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Let m(z) = -4*z**3 + 2*z**2 + 2*z. Let a be m(-1). What is the second derivative of -5*r - 13*r**a - 17*r**4 + 3*r wrt r?" }, { "from": "gpt", "value": "-360*r**2" } ]
[ { "from": "human", "value": "What is the lowest common multiple of (-28)/70 + 94/10 and 6?" }, { "from": "gpt", "value": "18" } ]
[ { "from": "human", "value": "Let j be (-1)/(1/8) - -2. Let h(w) be the second derivative of w**4/12 + w**3/2 - 9*w**2/2 + 5*w. Let r be h(j). Solve 5*t + r = 2*t for t." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Let w = -6 - -8. Let b(g) = -3 + 0 - w - 2*g. Let q be b(-5). Solve 4*n - 1 + q = 0 for n." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "-36 times 9" }, { "from": "gpt", "value": "-324" } ]
[ { "from": "human", "value": "What is next in -528, -513, -484, -435, -360, -253?" }, { "from": "gpt", "value": "-108" } ]
[ { "from": "human", "value": "What is 4 - (2 - (1 - 4))?" }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Which is bigger: -274/125 or -1?" }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Express 5 - 2 + 2*k**2 + k**2 + 3*k**2 - 2*k**4 as h + z*k + n*k**4 + t*k**3 + d*k**2 and give d." }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "What is the next term in -28, -121, -372, -859, -1660?" }, { "from": "gpt", "value": "-2853" } ]
[ { "from": "human", "value": "What is next in 29, 152, 357, 644, 1013, 1464, 1997?" }, { "from": "gpt", "value": "2612" } ]
[ { "from": "human", "value": "Solve 5*p = -3*f - 2*f + 20, 3*p = 3*f for f." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Solve -3*m = 0, -6*a + a + m + 25 = 0 for a." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Does 11 divide 4083761?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Suppose -q**4/2 - 3*q**3/2 + 5*q**2/2 + 3*q/2 - 2 = 0. What is q?" }, { "from": "gpt", "value": "-4, -1, 1" } ]
[ { "from": "human", "value": "What is next in 56, 119, 192, 281, 392?" }, { "from": "gpt", "value": "531" } ]
[ { "from": "human", "value": "What is the value of (-9)/(-2) - 14/(-28)?" }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Calculate -0.3*11410." }, { "from": "gpt", "value": "-3423" } ]
[ { "from": "human", "value": "Suppose -w**3 + 6*w**2 + 25*w + 18 = 0. Calculate w." }, { "from": "gpt", "value": "-2, -1, 9" } ]
[ { "from": "human", "value": "Calculate -3 + 5 + 1 + -2." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "What is the units digit of 5776?" }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "What is the fifth smallest value in -73, 0, 3/4, 0.5, -2/11?" }, { "from": "gpt", "value": "3/4" } ]
[ { "from": "human", "value": "Let c = -1 + 1. Suppose -2*n + 71 + 99 = c. Is n composite?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Is -5 != 3.47?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Sort -2/331, 2/5, -2, 0.2 in descending order." }, { "from": "gpt", "value": "2/5, 0.2, -2/331, -2" } ]
[ { "from": "human", "value": "Let q = -218 + 218. Factor 4/11*g**2 + 0*g + q*g**3 - 2/11*g**4 - 2/11." }, { "from": "gpt", "value": "-2*(g - 1)**2*(g + 1)**2/11" } ]
[ { "from": "human", "value": "Let t = 88 + 106. What are the prime factors of t?" }, { "from": "gpt", "value": "2, 97" } ]
[ { "from": "human", "value": "Solve -656*j = -660*j - 80 for j." }, { "from": "gpt", "value": "-20" } ]
[ { "from": "human", "value": "List the prime factors of (9 + -4)/((-2)/(-12))." }, { "from": "gpt", "value": "2, 3, 5" } ]
[ { "from": "human", "value": "Round 1303.3 to the nearest 10." }, { "from": "gpt", "value": "1300.0" } ]
[ { "from": "human", "value": "Rearrange (-i + 2*i + i)*(-2*i**2 - 3*i**2 + 7*i**2)*(2 + 6 - 4)*(-2*i - 2 + 2) to a*i + h*i**2 + k + p*i**4 + c*i**3 and give p." }, { "from": "gpt", "value": "-32" } ]
[ { "from": "human", "value": "What is the nearest to -2/3 in 2/7, 5, 4?" }, { "from": "gpt", "value": "2/7" } ]
[ { "from": "human", "value": "What comes next: -188, -180, -160, -122, -60, 32?" }, { "from": "gpt", "value": "160" } ]
[ { "from": "human", "value": "Let c = 93 + -88. Suppose -5*v - 3230 = -c*x, -x + 490 = v - 164. Does 33 divide x?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What are the prime factors of 536898760?" }, { "from": "gpt", "value": "2, 5, 17, 789557" } ]
[ { "from": "human", "value": "What is the p'th term of 225, 454, 683?" }, { "from": "gpt", "value": "229*p - 4" } ]
[ { "from": "human", "value": "What is 4 - (2 + 5 + -2 + -1)?" }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "What is 11/8 of a week in hours?" }, { "from": "gpt", "value": "231" } ]
[ { "from": "human", "value": "Let a = 0 - 3. Let l be 12392/(-30) + 1/a. Let m = l - -811/2. What is the common denominator of 13/10 and m?" }, { "from": "gpt", "value": "10" } ]
[ { "from": "human", "value": "Work out -12 - 0.15." }, { "from": "gpt", "value": "-12.15" } ]
[ { "from": "human", "value": "Are -21 and -1.51 equal?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Suppose -c = g, 3*c - 12 = 6*c. Suppose -g*y + 8 + 8 = 0. Let k(x) = x**2 + 12*x - 13. Let t be k(-14). Solve -y*q + t = q for q." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Calculate -3141 - 5." }, { "from": "gpt", "value": "-3146" } ]
[ { "from": "human", "value": "Work out -1479078659 + 0.1." }, { "from": "gpt", "value": "-1479078658.9" } ]
[ { "from": "human", "value": "Four letters picked without replacement from llllttttltstlllll. Give prob of picking 1 s and 3 l." }, { "from": "gpt", "value": "6/119" } ]
[ { "from": "human", "value": "List the prime factors of 10765." }, { "from": "gpt", "value": "5, 2153" } ]
[ { "from": "human", "value": "Solve 18 = 5*d - 7 for d." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "What is the nearest to 2/341 in -0.3, 3/2, -1?" }, { "from": "gpt", "value": "-0.3" } ]
[ { "from": "human", "value": "What is the third root of 36739 to the nearest integer?" }, { "from": "gpt", "value": "33" } ]
[ { "from": "human", "value": "Let -2*z**4/3 + 24*z**2 = 0. What is z?" }, { "from": "gpt", "value": "-6, 0, 6" } ]
[ { "from": "human", "value": "Suppose 3*z = 4*o - 7*o + 15, 15 = 5*o - 5*z. Suppose 0 = 5*p - o*h - 111, -2*p + 0 = 4*h - 22. Is p prime?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Evaluate 6 - 3 - -4 - 2." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Calculate 1061100 divided by -53055." }, { "from": "gpt", "value": "-20" } ]
[ { "from": "human", "value": "Is 3763 a prime number?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Let f = -5 + 5. Let q(h) = -h**3 - h + 2. Let z be q(f). Factor g**2 + 0*g**2 - 2*g - 4 + g**z." }, { "from": "gpt", "value": "2*(g - 2)*(g + 1)" } ]
[ { "from": "human", "value": "Find the third derivative of -508*k**3*p**4 - k**3*p**3 - 3*k**3*p**2 + 32*k**2 + 2*p**3 + 2*p**2 wrt p." }, { "from": "gpt", "value": "-12192*k**3*p - 6*k**3 + 12" } ]
[ { "from": "human", "value": "What is the i'th term of 49, 34, 5, -38, -95, -166, -251?" }, { "from": "gpt", "value": "-7*i**2 + 6*i + 50" } ]
[ { "from": "human", "value": "Divide -1508 by -4." }, { "from": "gpt", "value": "377" } ]
[ { "from": "human", "value": "Let x(v) = 696 - 39*v. Let n be x(16). Calculate the highest common factor of 1080 and n." }, { "from": "gpt", "value": "72" } ]
[ { "from": "human", "value": "Let s(j) = -22*j**4 + 6*j**3 + 13*j**2. Let b(d) = 22*d**4 - 7*d**3 - 13*d**2. Let l(z) = -6*b(z) - 7*s(z). What is the third derivative of l(t) wrt t?" }, { "from": "gpt", "value": "528*t" } ]
[ { "from": "human", "value": "Let j(t) be the third derivative of -7*t**4/24 + 5*t**3/6 + t**2. Find the first derivative of j(a) wrt a." }, { "from": "gpt", "value": "-7" } ]
[ { "from": "human", "value": "What is the third root of 4969255 to the nearest integer?" }, { "from": "gpt", "value": "171" } ]
[ { "from": "human", "value": "Solve -4*g + 0*p - p = -4, 0 = -g - 4*p + 1 for g." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "What is the nearest to -1/17 in -3, -9, 9/4?" }, { "from": "gpt", "value": "9/4" } ]
[ { "from": "human", "value": "What is the s'th term of 689, 1376, 2063, 2750, 3437?" }, { "from": "gpt", "value": "687*s + 2" } ]