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[ { "from": "human", "value": "Suppose -5*d - 3*q = 65, 3*q - 70 = 5*d + 5*q. Let c = 20 + d. Solve c*y - 15 = 5 for y." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Suppose 1 + 9 = 2*x. Let t(n) = n - 2 + 3 - 3. Let w be t(7). Solve 4*k - x*k = -w for k." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "What comes next: 12, 9, 0, -15, -36, -63, -96?" }, { "from": "gpt", "value": "-135" } ]
[ { "from": "human", "value": "Let d(h) = 1 + h + 0 + 8*h**2 + 0. Suppose -20*c - 190 = -39*c. Calculate the smallest common multiple of c and d(-1)." }, { "from": "gpt", "value": "40" } ]
[ { "from": "human", "value": "Suppose 3*l + 184 = 5*l. What is the greatest common divisor of l and 23?" }, { "from": "gpt", "value": "23" } ]
[ { "from": "human", "value": "0.2 times -1047" }, { "from": "gpt", "value": "-209.4" } ]
[ { "from": "human", "value": "What is the remainder when 519 is divided by 266?" }, { "from": "gpt", "value": "253" } ]
[ { "from": "human", "value": "Which is the nearest to -2/3? (a) 2/21 (b) 0.11 (c) -1/136" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Is 2 at most as big as 16/31?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What is the y'th term of 1547, 1545, 1543?" }, { "from": "gpt", "value": "1549 - 2*y" } ]
[ { "from": "human", "value": "Let f = -26.8 - -22. Let o = f - -5. Which is greater: o or -0.5?" }, { "from": "gpt", "value": "o" } ]
[ { "from": "human", "value": "Calculate the remainder when 311 is divided by 7." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "What is the derivative of -n**4 - 11*n - 17?" }, { "from": "gpt", "value": "-4*n**3 - 11" } ]
[ { "from": "human", "value": "Collect the terms in 0*t**3 + 0*t**3 + 8*t**3 + 4*t**3." }, { "from": "gpt", "value": "12*t**3" } ]
[ { "from": "human", "value": "Solve 3 = -3*b, 4*m + 1185 = -4*b + 1161 for m." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "What is the least common multiple of 100 and 1135?" }, { "from": "gpt", "value": "22700" } ]
[ { "from": "human", "value": "Suppose -10*p = -14*p + 24. Solve 3 = p*y - 3*y for y." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Simplify 6*((sqrt(27)/(sqrt(9) + sqrt(36)) - ((1*sqrt(33))/sqrt(11))**2) + 2)." }, { "from": "gpt", "value": "-6 + 2*sqrt(3)" } ]
[ { "from": "human", "value": "(2/(-2))/(7/((-70)/(-5)))" }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Calculate the highest common divisor of 1590 and 15." }, { "from": "gpt", "value": "15" } ]
[ { "from": "human", "value": "Suppose -3 = 4*b + u, 2*u = -4*b + 1 - 3. Let c be b/((-5)/18) + -4. What is the biggest value in -4, 2/5, c?" }, { "from": "gpt", "value": "2/5" } ]
[ { "from": "human", "value": "In base 11, what is -528 - 0?" }, { "from": "gpt", "value": "-528" } ]
[ { "from": "human", "value": "Sort -4/7, 0.1, 0.004 in decreasing order." }, { "from": "gpt", "value": "0.1, 0.004, -4/7" } ]
[ { "from": "human", "value": "Is 9 a factor of 264?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What is next in -4, 36, 62, 68, 48, -4, -94, -228?" }, { "from": "gpt", "value": "-412" } ]
[ { "from": "human", "value": "In base 10, what is 220 - 0?" }, { "from": "gpt", "value": "220" } ]
[ { "from": "human", "value": "Let c be (68/25)/((6/15)/1). Let o(k) = 223 - 7*k. Let j be o(31). Which is greater: j or c?" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Let h(n) = 4 - 5*n. Let f(b) = -4*b - 1. Let g(r) = -8*r - 1. Let o(j) = -7*f(j) + 4*g(j). Let y(v) = -3*h(v) + 4*o(v). Let l(x) = 3*x**2. Give l(y(u))." }, { "from": "gpt", "value": "3*u**2" } ]
[ { "from": "human", "value": "Let p = 5 + -3. Which is the closest to -3/16? (a) -1 (b) -0.3 (c) p" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Suppose -5*o - 3*b = -827, -501 = -3*o - 6*b + 3*b. What is the hundreds digit of o?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "-66 - ((-55 - -108) + -103)" }, { "from": "gpt", "value": "-16" } ]
[ { "from": "human", "value": "Let w be ((-2)/3 + 1)*-6. Let t be (-14)/63 + w/(-9). Suppose t = -3*u + 2*u + 9. Calculate the greatest common factor of 1 and u." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Suppose -5*r - 14*n + 13*n + 953 = 0, -5*r = 5*n - 945. Suppose -r*c + 184*c + 14 = 0. Solve c*x - 25 = -3*x for x." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Suppose -56 = 2*s + 2*s. Let f be (-28)/s - (6 - -1). Sort -4, f, 3 in descending order." }, { "from": "gpt", "value": "3, -4, f" } ]
[ { "from": "human", "value": "What comes next: 15, 91, 225, 417, 667, 975, 1341?" }, { "from": "gpt", "value": "1765" } ]
[ { "from": "human", "value": "Let g = 15/7 + -31/21. What is the nearest to 0.1 in 2/11, -2/3, g?" }, { "from": "gpt", "value": "2/11" } ]
[ { "from": "human", "value": "Convert 2171537.7 months to centuries." }, { "from": "gpt", "value": "1809.61475" } ]
[ { "from": "human", "value": "Let h = -7 + 23. What is the greatest common divisor of 64 and h?" }, { "from": "gpt", "value": "16" } ]
[ { "from": "human", "value": "Simplify ((sqrt(200) - sqrt(200)*2)/sqrt(10))/(sqrt(36)/(sqrt(9)*-1))*2." }, { "from": "gpt", "value": "2*sqrt(5)" } ]
[ { "from": "human", "value": "Let f be -1*(-2)/(-2 + -2). Let l = -2 - -2.1. Let s = l - 0.2. Which is the second smallest value? (a) 1/10 (b) s (c) f" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Which is greater: 28/31 or 0?" }, { "from": "gpt", "value": "28/31" } ]
[ { "from": "human", "value": "Let o(f) = f**3 + 2*f**2 - 4*f - 2. Let p be o(-3). Calculate the highest common divisor of p and 3." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "How many minutes are there between 5:58 AM and 8:31 AM?" }, { "from": "gpt", "value": "153" } ]
[ { "from": "human", "value": "How many minutes are there between 12:41 AM and 8:09 AM?" }, { "from": "gpt", "value": "448" } ]
[ { "from": "human", "value": "Simplify y**(16/9)/(y*y**(2/35)) assuming y is positive." }, { "from": "gpt", "value": "y**(227/315)" } ]
[ { "from": "human", "value": "Which is the closest to 1/4? (a) -3 (b) -197 (c) 5/6 (d) 1" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Calculate 1196 divided by 4." }, { "from": "gpt", "value": "299" } ]
[ { "from": "human", "value": "Evaluate 1 + 0 + -22 + 13." }, { "from": "gpt", "value": "-8" } ]
[ { "from": "human", "value": "Solve -5*z = -s + 12, 0 = 5*z + 4*s - 173 + 200 for z." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Calculate ((9/24)/1)/((-25)/50)." }, { "from": "gpt", "value": "-3/4" } ]
[ { "from": "human", "value": "Evaluate ((-6)/(-8))/((-15)/(-20))." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Which is the second smallest value? (a) -3 (b) 0 (c) 1/10 (d) -0.14 (e) -1" }, { "from": "gpt", "value": "e" } ]
[ { "from": "human", "value": "Express 10 + 9 - 74*i + 12 - 33 in the form z + v*i and give v." }, { "from": "gpt", "value": "-74" } ]
[ { "from": "human", "value": "Suppose -4*j + 2*s + 12 = -2*s, s = -2*j + 21. List the prime factors of j." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Suppose -4*j - 7 = -3. What is the second biggest value in -0.17, -4, j?" }, { "from": "gpt", "value": "j" } ]
[ { "from": "human", "value": "Let x(b) = b**3 - b**2 - b + 3. Let l be x(0). Find the second derivative of -6*z**2 - 2*z**2 + l*z + 2*z**2 + 3*z**2 wrt z." }, { "from": "gpt", "value": "-6" } ]
[ { "from": "human", "value": "Solve 17*w - 23 = 20*w + 4*z, 5*z = -10 for w." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Let s(i) = -i. Let g(u) = u**3 + 9*u**2 + 6. Let t be g(-9). Suppose -2*l = l - t. Let k(v) = -5*v**2 - 4*v**l + 4*v**2. Calculate k(s(w))." }, { "from": "gpt", "value": "-5*w**2" } ]
[ { "from": "human", "value": "Simplify m**(1/4)*m*m*m**9*m*(m/m**(-1/11))/m*m*m*(m**(2/29)/m*m)/m assuming m is positive." }, { "from": "gpt", "value": "m**(17111/1276)" } ]
[ { "from": "human", "value": "What is the next term in 26, 112, 258, 464, 730?" }, { "from": "gpt", "value": "1056" } ]
[ { "from": "human", "value": "How many decades are there in 6632.76 millennia?" }, { "from": "gpt", "value": "663276" } ]
[ { "from": "human", "value": "Let v = -7 - -17. Suppose -v = -3*k + 4*w, 0*k - 2*k - 3*w - 16 = 0. Let b be k/(-5) - 46/40. What is the smallest value in 3, b, 2?" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Evaluate -85 + 93 - (7 - 1)." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Is 570 a multiple of 5?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Simplify ((y*y/(y*y**(2/7)))/y*y)**(-41)/(y**2/y**(1/2)) assuming y is positive." }, { "from": "gpt", "value": "y**(-431/14)" } ]
[ { "from": "human", "value": "What are the prime factors of 1082?" }, { "from": "gpt", "value": "2, 541" } ]
[ { "from": "human", "value": "Suppose -3*c - 4 + 1 = 0. Let z = -3 - c. Let r be 4/2*(-9)/z. Calculate the greatest common divisor of r and 81." }, { "from": "gpt", "value": "9" } ]
[ { "from": "human", "value": "Calculate 5 - (1 + 40/(-8))." }, { "from": "gpt", "value": "9" } ]
[ { "from": "human", "value": "What is the thousands digit of 4464?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Calculate (-10)/(-2)*(-102)/510." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Which is the smallest value? (a) -5/13 (b) 0.12 (c) -3 (d) 4/3" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "What is the remainder when 823 is divided by 33?" }, { "from": "gpt", "value": "31" } ]
[ { "from": "human", "value": "Suppose 3*y - 5*d - 12 = 0, 0*y + 15 = 3*y - 4*d. Calculate the remainder when 38 is divided by y." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Find the third derivative of -15787*v**5 + v**2 - 6*v - 434 wrt v." }, { "from": "gpt", "value": "-947220*v**2" } ]
[ { "from": "human", "value": "What is 27805918 to the power of 1/3, to the nearest integer?" }, { "from": "gpt", "value": "303" } ]
[ { "from": "human", "value": "Evaluate -3 + 4 - (2 + 1 + 1)." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "In base 14, what is 6 - 150?" }, { "from": "gpt", "value": "-148" } ]
[ { "from": "human", "value": "Which is smaller: 1 or 14/1639?" }, { "from": "gpt", "value": "14/1639" } ]
[ { "from": "human", "value": "Work out -722 + -4." }, { "from": "gpt", "value": "-726" } ]
[ { "from": "human", "value": "Suppose 5*b - 4 = -g, 2*g = -0*g - 4*b + 2. Let x(m) = -m. Let d be x(g). Let h = -3 - -2. Sort d, -3, h in descending order." }, { "from": "gpt", "value": "d, h, -3" } ]
[ { "from": "human", "value": "Which is smaller: -179 or -91?" }, { "from": "gpt", "value": "-179" } ]
[ { "from": "human", "value": "Work out -2 * -0.13." }, { "from": "gpt", "value": "0.26" } ]
[ { "from": "human", "value": "What is the i'th term of 10, 105, 364, 871, 1710, 2965, 4720?" }, { "from": "gpt", "value": "14*i**3 - 2*i**2 + 3*i - 5" } ]
[ { "from": "human", "value": "Let v(u) = u - 1. Let l be v(1). Suppose -c - 4*j = -16, 0 = -2*c + 4*j - 3*j + 5. Suppose l = 4*a - 16 - c. Solve -a - 3 = -4*t for t." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Solve -53 + 43 = -5*w for w." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "What is the value of (-496)/(-2496) - 8/(-156)?" }, { "from": "gpt", "value": "1/4" } ]
[ { "from": "human", "value": "Let v(l) = l**2 + 10*l - 9. Let h be v(-11). Solve -4*q - b + 23 = -0*b, -h*b + 1 = -q for q." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Is 787 a prime number?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Solve 3*r = 3*b + 2*b + 22, r = -3*b - 16 for r." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "What is -1.781 - 107?" }, { "from": "gpt", "value": "-108.781" } ]
[ { "from": "human", "value": "Simplify (sqrt(153) + (2*sqrt(153)*-5)**2 + (sqrt(153) - (sqrt(153) + 1 + sqrt(153) + -5)))*3 + 5 + -5." }, { "from": "gpt", "value": "45912" } ]
[ { "from": "human", "value": "Sort 0, -4, -5095 in decreasing order." }, { "from": "gpt", "value": "0, -4, -5095" } ]
[ { "from": "human", "value": "What is the nearest to 1/5 in -1/21, -1/7, 5?" }, { "from": "gpt", "value": "-1/21" } ]
[ { "from": "human", "value": "Solve 12 = a + 16 for a." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Convert 13 (base 4) to base 10." }, { "from": "gpt", "value": "7" } ]
[ { "from": "human", "value": "What is the remainder when 143 is divided by 25?" }, { "from": "gpt", "value": "18" } ]
[ { "from": "human", "value": "Find the third derivative of 330*p**3*w**2*z**2 + p**3*w**2 - 2*p**3*z + 22*p**2*w*z - p**2*z**2 + 6*p*w**2*z**2 - w**2*z**2 - 2*z**2 wrt p." }, { "from": "gpt", "value": "1980*w**2*z**2 + 6*w**2 - 12*z" } ]
[ { "from": "human", "value": "What comes next: -56, -73, -80, -71, -40, 19?" }, { "from": "gpt", "value": "112" } ]
[ { "from": "human", "value": "Let i(p) = -5*p - 29. What is i(-6)?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Is 10 a factor of 838?" }, { "from": "gpt", "value": "False" } ]