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a1_math_mathcoder

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{"question": "Let x(w) = 21*w - 14. Let g(h) = 1 - h - 4*h + h + 3*h. Let a(l) = 14*g(l) + x(l). Calculate a(-1).", "answer": "-7"}
Let x(w) = 21*w - 14. Let g(h) = 1 - h - 4*h + h + 3*h. Let a(l) = 14*g(l) + x(l). Calculate a(-1).
-7
{"question": "Calculate the remainder when 799 is divided by 394.", "answer": "11"}
Calculate the remainder when 799 is divided by 394.
11
{"question": "Let i = 9257 - 6251. What is the hundreds digit of i?", "answer": "0"}
Let i = 9257 - 6251. What is the hundreds digit of i?
0
{"question": "Two letters picked without replacement from {y: 3, s: 15}. What is prob of picking 1 y and 1 s?", "answer": "5/17"}
Two letters picked without replacement from {y: 3, s: 15}. What is prob of picking 1 y and 1 s?
5/17
{"question": "What is the second derivative of -3962*x**5 - x - 91461?", "answer": "-79240*x**3"}
What is the second derivative of -3962*x**5 - x - 91461?
-79240*x**3
{"question": "What is the value of (4/24)/(13/156)?", "answer": "2"}
What is the value of (4/24)/(13/156)?
2
{"question": "Solve 13*q + 10 - 36 = 0 for q.", "answer": "2"}
Solve 13*q + 10 - 36 = 0 for q.
2
{"question": "Let p(d) = -13*d + 1. Let v = -5 - -4. Does 7 divide p(v)?", "answer": "True"}
Let p(d) = -13*d + 1. Let v = -5 - -4. Does 7 divide p(v)?
True
{"question": "What is the z'th term of -101, 104, 667, 1768, 3587, 6304, 10099, 15152?", "answer": "30*z**3 - z**2 - 2*z - 128"}
What is the z'th term of -101, 104, 667, 1768, 3587, 6304, 10099, 15152?
30*z**3 - z**2 - 2*z - 128
{"question": "Calculate prob of sequence eqy when three letters picked without replacement from qqeqqqqqeyqyyqq.", "answer": "2/91"}
Calculate prob of sequence eqy when three letters picked without replacement from qqeqqqqqeyqyyqq.
2/91
{"question": "Is 2749 a prime number?", "answer": "True"}
Is 2749 a prime number?
True
{"question": "Suppose -56*y + 27 - 202 = -7. Let u(p) = -2100*p**3 + 224*p**2 - 224*p - 224. Let i(f) = 28*f**3 - 3*f**2 + 3*f + 3. What is y*u(s) - 224*i(s)?", "answer": "28*s**3"}
Suppose -56*y + 27 - 202 = -7. Let u(p) = -2100*p**3 + 224*p**2 - 224*p - 224. Let i(f) = 28*f**3 - 3*f**2 + 3*f + 3. What is y*u(s) - 224*i(s)?
28*s**3
{"question": "What is the n'th term of 233, 543, 831, 1085, 1293?", "answer": "-2*n**3 + n**2 + 321*n - 87"}
What is the n'th term of 233, 543, 831, 1085, 1293?
-2*n**3 + n**2 + 321*n - 87
{"question": "What is next in 14763, 12521, 8785, 3555?", "answer": "-3169"}
What is next in 14763, 12521, 8785, 3555?
-3169
{"question": "Which is smaller: -9 or -10?", "answer": "-10"}
Which is smaller: -9 or -10?
-10
{"question": "Let m = -81 - -86. Suppose m + 3 = 4*a. Suppose 4*i + 2*f = 82, -4*i + i + 44 = -a*f. List the prime factors of i.", "answer": "2, 3"}
Let m = -81 - -86. Suppose m + 3 = 4*a. Suppose 4*i + 2*f = 82, -4*i + i + 44 = -a*f. List the prime factors of i.
2, 3
{"question": "Let g(b) be the third derivative of b**6/120 + b**5/15 + b**4/6 - b**3/6 + 8*b**2. Let y be 0*(-2)/(-4) - 3. Calculate g(y).", "answer": "-4"}
Let g(b) be the third derivative of b**6/120 + b**5/15 + b**4/6 - b**3/6 + 8*b**2. Let y be 0*(-2)/(-4) - 3. Calculate g(y).
-4
{"question": "Does 84 divide 355365024?", "answer": "True"}
Does 84 divide 355365024?
True
{"question": "Solve -3*u + i + 1 = 0, 5*u + 38 = -2*i + 36 for u.", "answer": "0"}
Solve -3*u + i + 1 = 0, 5*u + 38 = -2*i + 36 for u.
0
{"question": "Expand 9*r - 4*r + 3*r**4 - 4*r**4 + (r**2 + 2*r**2 - 5*r**2)*(-3 + 3 - r**2).", "answer": "r**4 + 5*r"}
Expand 9*r - 4*r + 3*r**4 - 4*r**4 + (r**2 + 2*r**2 - 5*r**2)*(-3 + 3 - r**2).
r**4 + 5*r
{"question": "Suppose 2*r = -6, y - r + 1 = 2*y. Let m(j) = -j + 6. Calculate m(y).", "answer": "2"}
Suppose 2*r = -6, y - r + 1 = 2*y. Let m(j) = -j + 6. Calculate m(y).
2
{"question": "Find the common denominator of 19/883379 and 179/3785910.", "answer": "26501370"}
Find the common denominator of 19/883379 and 179/3785910.
26501370
{"question": "Let j = -0.6 + 1. Let o = j + -0.2. Let p = -856 - -880. Put 3, o, p in ascending order.", "answer": "o, 3, p"}
Let j = -0.6 + 1. Let o = j + -0.2. Let p = -856 - -880. Put 3, o, p in ascending order.
o, 3, p
{"question": "Evaluate -6*(-224)/(-560)*3/6.", "answer": "-6/5"}
Evaluate -6*(-224)/(-560)*3/6.
-6/5
{"question": "Let o(s) = -3*s**2 + 21*s - 88. Calculate o(9).", "answer": "-142"}
Let o(s) = -3*s**2 + 21*s - 88. Calculate o(9).
-142
{"question": "Let i(f) = 2*f**2 + 17370*f - 295871. Calculate i(17).", "answer": "-3"}
Let i(f) = 2*f**2 + 17370*f - 295871. Calculate i(17).
-3
{"question": "Simplify ((2*sqrt(77)*1)/(-1*sqrt(33)/sqrt(3)))**2.", "answer": "28"}
Simplify ((2*sqrt(77)*1)/(-1*sqrt(33)/sqrt(3)))**2.
28
{"question": "Simplify o**(-17)/(o**(1/4)*o)*(o**(-11))**(-7/10) assuming o is positive.", "answer": "o**(-211/20)"}
Simplify o**(-17)/(o**(1/4)*o)*(o**(-11))**(-7/10) assuming o is positive.
o**(-211/20)
{"question": "Solve -867*c = -6679*c - 203420 for c.", "answer": "-35"}
Solve -867*c = -6679*c - 203420 for c.
-35
{"question": "Let o = 7227 + -7213. Which is smaller: -84 or o?", "answer": "-84"}
Let o = 7227 + -7213. Which is smaller: -84 or o?
-84
{"question": "Is 67956997711 prime?", "answer": "False"}
Is 67956997711 prime?
False
{"question": "Calculate (20/8)/((-1705)/(-496)).", "answer": "8/11"}
Calculate (20/8)/((-1705)/(-496)).
8/11
{"question": "Let d = 5 - 3. Suppose -t = d*z + 12, 0 = -5*t + z + 3*z - 4. Suppose -y + 28 - 7 = 5*a, -5*a = 3*y - 13. Do y and t have the same value?", "answer": "True"}
Let d = 5 - 3. Suppose -t = d*z + 12, 0 = -5*t + z + 3*z - 4. Suppose -y + 28 - 7 = 5*a, -5*a = 3*y - 13. Do y and t have the same value?
True
{"question": "List the prime factors of 96930.", "answer": "2, 3, 5, 359"}
List the prime factors of 96930.
2, 3, 5, 359
{"question": "Solve -202*g + 887 + 1025 = -108 for g.", "answer": "10"}
Solve -202*g + 887 + 1025 = -108 for g.
10
{"question": "Suppose 4*b**2 - 1220*b - 2456 = 0. What is b?", "answer": "-2, 307"}
Suppose 4*b**2 - 1220*b - 2456 = 0. What is b?
-2, 307
{"question": "Let v(y) = 7*y - 3. Let t(a) be the third derivative of 1/6*a**4 + 0*a + 0 - 1/3*a**3 + 25*a**2. Let j(u) = 5*t(u) - 3*v(u). Calculate j(3).", "answer": "-4"}
Let v(y) = 7*y - 3. Let t(a) be the third derivative of 1/6*a**4 + 0*a + 0 - 1/3*a**3 + 25*a**2. Let j(u) = 5*t(u) - 3*v(u). Calculate j(3).
-4
{"question": "Express m**4 - 3103*m**2 + 2*m**3 + 12*m - m**3 + 3108*m**2 + 1 + 11*m as c + x*m**3 + q*m + b*m**2 + o*m**4 and give q.", "answer": "23"}
Express m**4 - 3103*m**2 + 2*m**3 + 12*m - m**3 + 3108*m**2 + 1 + 11*m as c + x*m**3 + q*m + b*m**2 + o*m**4 and give q.
23
{"question": "List the prime factors of 114168164.", "answer": "2, 11, 31, 83701"}
List the prime factors of 114168164.
2, 11, 31, 83701
{"question": "In base 6, what is -4 - -132?", "answer": "124"}
In base 6, what is -4 - -132?
124
{"question": "Calculate the greatest common factor of 23797 and 1875473.", "answer": "449"}
Calculate the greatest common factor of 23797 and 1875473.
449
{"question": "-15 + 21 + (-23 - (-28 - -5))", "answer": "6"}
-15 + 21 + (-23 - (-28 - -5))
6
{"question": "Let a = -13 + 8. Let h be (1/34)/((-1)/4). Let l be 14/(-21) + 28/105. Sort l, h, a.", "answer": "a, l, h"}
Let a = -13 + 8. Let h be (1/34)/((-1)/4). Let l be 14/(-21) + 28/105. Sort l, h, a.
a, l, h
{"question": "What is the product of 18 and 75?", "answer": "1350"}
What is the product of 18 and 75?
1350
{"question": "Let w be -1*1*(-30)/(-1). Calculate the remainder when 86 is divided by ((-44)/5)/(12/w).", "answer": "20"}
Let w be -1*1*(-30)/(-1). Calculate the remainder when 86 is divided by ((-44)/5)/(12/w).
20
{"question": "Suppose -19*j + 108 = -13*j. Let w(c) = -j*c + 8*c + 7*c + 4 + 7*c. Determine w(-3).", "answer": "-8"}
Suppose -19*j + 108 = -13*j. Let w(c) = -j*c + 8*c + 7*c + 4 + 7*c. Determine w(-3).
-8
{"question": "Let f be (-1)/((-1)/10*(-20)/(-8)). Let h be -41*4/(-5 - -1). Suppose b + f*b = -2*l + 2, 2*b + h = 3*l. List the prime factors of l.", "answer": "11"}
Let f be (-1)/((-1)/10*(-20)/(-8)). Let h be -41*4/(-5 - -1). Suppose b + f*b = -2*l + 2, 2*b + h = 3*l. List the prime factors of l.
11
{"question": "What is the nearest to 0.6854 in -2/7, 0.5, 4953?", "answer": "0.5"}
What is the nearest to 0.6854 in -2/7, 0.5, 4953?
0.5
{"question": "Calculate the greatest common factor of 12 and 201.", "answer": "3"}
Calculate the greatest common factor of 12 and 201.
3
{"question": "What is (-1 - 33) + -1347 + 1377?", "answer": "-4"}
What is (-1 - 33) + -1347 + 1377?
-4
{"question": "Calculate the common denominator of 45/1481936 and -1/1512.", "answer": "280085904"}
Calculate the common denominator of 45/1481936 and -1/1512.
280085904
{"question": "Calculate the remainder when 110858 is divided by 6.", "answer": "2"}
Calculate the remainder when 110858 is divided by 6.
2
{"question": "Let o = 7695469 + -4589643. Suppose -o + 525616 = 2*x. Let r = x - -2500105. Round r to the nearest 100000.", "answer": "1200000"}
Let o = 7695469 + -4589643. Suppose -o + 525616 = 2*x. Let r = x - -2500105. Round r to the nearest 100000.
1200000
{"question": "Expand -2*b - 1 + 1 + (14*b - 12*b - 9*b)*(1 - 2 - 1).", "answer": "12*b"}
Expand -2*b - 1 + 1 + (14*b - 12*b - 9*b)*(1 - 2 - 1).
12*b
{"question": "What is 0.7372003 centuries in months?", "answer": "884.64036"}
What is 0.7372003 centuries in months?
884.64036
{"question": "Calculate prob of picking 1 c and 1 w when two letters picked without replacement from {c: 1, f: 1, w: 1, o: 1, m: 1}.", "answer": "1/10"}
Calculate prob of picking 1 c and 1 w when two letters picked without replacement from {c: 1, f: 1, w: 1, o: 1, m: 1}.
1/10
{"question": "Let s = -0.136 - 1.294. Let z = s + 1.83. Sort z, 3/16, -0.5 in descending order.", "answer": "z, 3/16, -0.5"}
Let s = -0.136 - 1.294. Let z = s + 1.83. Sort z, 3/16, -0.5 in descending order.
z, 3/16, -0.5
{"question": "Let s be (-9)/252*-316 - 11. Let w(q) be the second derivative of q**4/12 - 2*q**3/3 - q**2/2 - q. Let h be w(4). What is the closest to s in 2/3, h, -2/7?", "answer": "2/3"}
Let s be (-9)/252*-316 - 11. Let w(q) be the second derivative of q**4/12 - 2*q**3/3 - q**2/2 - q. Let h be w(4). What is the closest to s in 2/3, h, -2/7?
2/3
{"question": "Product of 0.59 and 43.", "answer": "25.37"}
Product of 0.59 and 43.
25.37
{"question": "Calculate the greatest common factor of 574525 and 1025.", "answer": "25"}
Calculate the greatest common factor of 574525 and 1025.
25
{"question": "Let j(u) = u + 2. Let y(r) = -r**3 - 5*r**2 - 2*r - 1. Let z be y(-4). Let d(w) = -3*w - 5. What is z*j(p) - 4*d(p)?", "answer": "3*p + 2"}
Let j(u) = u + 2. Let y(r) = -r**3 - 5*r**2 - 2*r - 1. Let z be y(-4). Let d(w) = -3*w - 5. What is z*j(p) - 4*d(p)?
3*p + 2
{"question": "What is the remainder when 45139 is divided by 740?", "answer": "739"}
What is the remainder when 45139 is divided by 740?
739
{"question": "What is the fourth smallest value in 2/7, 0, 4, 10742?", "answer": "10742"}
What is the fourth smallest value in 2/7, 0, 4, 10742?
10742
{"question": "What is b in -b**2 - 2370*b = 0?", "answer": "-2370, 0"}
What is b in -b**2 - 2370*b = 0?
-2370, 0
{"question": "Let m(g) = 2*g + 10. Let j(b) = -b**3 - 3*b**2 - 1. Let r be j(-2). Let h be m(r). Solve 2*y = -h*y for y.", "answer": "0"}
Let m(g) = 2*g + 10. Let j(b) = -b**3 - 3*b**2 - 1. Let r be j(-2). Let h be m(r). Solve 2*y = -h*y for y.
0
{"question": "Suppose 3 = -r + 6, 0 = -v + 4*r + 106. Let p = -146 - v. Let d = -160 - p. Calculate the greatest common factor of d and 13.", "answer": "13"}
Suppose 3 = -r + 6, 0 = -v + 4*r + 106. Let p = -146 - v. Let d = -160 - p. Calculate the greatest common factor of d and 13.
13
{"question": "In base 13, what is -3 + -381442?", "answer": "-381445"}
In base 13, what is -3 + -381442?
-381445
{"question": "List the prime factors of 1176.", "answer": "2, 3, 7"}
List the prime factors of 1176.
2, 3, 7
{"question": "Calculate the greatest common divisor of 177 and 767.", "answer": "59"}
Calculate the greatest common divisor of 177 and 767.
59
{"question": "Let b(w) = -19*w**3 + 2*w**2 + 15*w + 36. Let r(c) = 12*c**3 - c**2 - 10*c - 23. Calculate -5*b(o) - 8*r(o).", "answer": "-o**3 - 2*o**2 + 5*o + 4"}
Let b(w) = -19*w**3 + 2*w**2 + 15*w + 36. Let r(c) = 12*c**3 - c**2 - 10*c - 23. Calculate -5*b(o) - 8*r(o).
-o**3 - 2*o**2 + 5*o + 4
{"question": "Let v(h) be the first derivative of -h**7/63 - 4*h**6/135 + h**5/90 + h**4/27 - 45*h - 128. Let i(u) be the first derivative of v(u). Let i(z) = 0. What is z?", "answer": "-1, 0, 2/3"}
Let v(h) be the first derivative of -h**7/63 - 4*h**6/135 + h**5/90 + h**4/27 - 45*h - 128. Let i(u) be the first derivative of v(u). Let i(z) = 0. What is z?
-1, 0, 2/3
{"question": "Let v be (4*(-2)/10)/(4/(-30)). Suppose -534 = -v*m - 252. Calculate the remainder when m is divided by 18.", "answer": "11"}
Let v be (4*(-2)/10)/(4/(-30)). Suppose -534 = -v*m - 252. Calculate the remainder when m is divided by 18.
11
{"question": "Let z(j) be the first derivative of j**6/10 - 2*j**3 + 6*j - 13. Let d(g) be the first derivative of z(g). Find the second derivative of d(u) wrt u.", "answer": "36*u**2"}
Let z(j) be the first derivative of j**6/10 - 2*j**3 + 6*j - 13. Let d(g) be the first derivative of z(g). Find the second derivative of d(u) wrt u.
36*u**2
{"question": "Is 60611909 a prime number?", "answer": "True"}
Is 60611909 a prime number?
True
{"question": "Expand (6 - 3*h - 6 - 2*h + 6*h - 3*h + (-1 + 1 - 1)*(h - 5*h + 2*h) + 2*h + 2*h - 3*h + (3 - 4 + 4)*(-3*h + h - 3*h))*(2*h - h + h).", "answer": "-28*h**2"}
Expand (6 - 3*h - 6 - 2*h + 6*h - 3*h + (-1 + 1 - 1)*(h - 5*h + 2*h) + 2*h + 2*h - 3*h + (3 - 4 + 4)*(-3*h + h - 3*h))*(2*h - h + h).
-28*h**2
{"question": "Let x = -3392019 + 3392220.999125. Let k = x - 202. Round k to 4 decimal places.", "answer": "-0.0009"}
Let x = -3392019 + 3392220.999125. Let k = x - 202. Round k to 4 decimal places.
-0.0009
{"question": "Let v(l) = -3*l**3 - 7*l**2 - 10*l - 6. Calculate the lowest common multiple of (18/7)/(54/2646) and v(-3).", "answer": "126"}
Let v(l) = -3*l**3 - 7*l**2 - 10*l - 6. Calculate the lowest common multiple of (18/7)/(54/2646) and v(-3).
126
{"question": "What is -627.218 take away -0.5?", "answer": "-626.718"}
What is -627.218 take away -0.5?
-626.718
{"question": "Calculate the highest common divisor of 240 and 1005.", "answer": "15"}
Calculate the highest common divisor of 240 and 1005.
15
{"question": "What is the distance between -7561 and 0.28?", "answer": "7561.28"}
What is the distance between -7561 and 0.28?
7561.28
{"question": "Which is the closest to -7.5? (a) 5 (b) -1 (c) -4", "answer": "c"}
Which is the closest to -7.5? (a) 5 (b) -1 (c) -4
c
{"question": "Solve -29*x**3 + 5569*x**2 + 16773*x - 585 = 0.", "answer": "-3, 1/29, 195"}
Solve -29*x**3 + 5569*x**2 + 16773*x - 585 = 0.
-3, 1/29, 195
{"question": "Let d(l) = l**2 - l - 429. Let t be d(22). Solve 4*m - t = -7*m for m.", "answer": "3"}
Let d(l) = l**2 - l - 429. Let t be d(22). Solve 4*m - t = -7*m for m.
3
{"question": "Suppose 5*b = 2*c + 34, 2*b + 0*b - c - 13 = 0. Suppose -b*j = -82 - 1678. Suppose 2*z - j = -4*p, -6*z + 3*z = -5*p + 297. What is the tens digit of p?", "answer": "5"}
Suppose 5*b = 2*c + 34, 2*b + 0*b - c - 13 = 0. Suppose -b*j = -82 - 1678. Suppose 2*z - j = -4*p, -6*z + 3*z = -5*p + 297. What is the tens digit of p?
5
{"question": "Suppose -d + h + 129 = -2*d, -3*d = 5*h + 381. Let b = 135 + d. Solve -b*o - 4 = 11 for o.", "answer": "-5"}
Suppose -d + h + 129 = -2*d, -3*d = 5*h + 381. Let b = 135 + d. Solve -b*o - 4 = 11 for o.
-5
{"question": "Let j = 10 + -14. Let p = j - -12. Let f = 1096 + -1091. Solve -f*o + 3*o = p for o.", "answer": "-4"}
Let j = 10 + -14. Let p = j - -12. Let f = 1096 + -1091. Solve -f*o + 3*o = p for o.
-4
{"question": "What is 0.55 minus 13.48803?", "answer": "-12.93803"}
What is 0.55 minus 13.48803?
-12.93803
{"question": "What is 64263.7 hours in minutes?", "answer": "3855822"}
What is 64263.7 hours in minutes?
3855822
{"question": "What is the remainder when 280540276 is divided by 79926?", "answer": "16"}
What is the remainder when 280540276 is divided by 79926?
16
{"question": "What is the least common multiple of 106128 and 36?", "answer": "106128"}
What is the least common multiple of 106128 and 36?
106128
{"question": "Let t be -1 + (240/4)/2. Suppose -5*f + 36 + t = 0. Does 2 divide f?", "answer": "False"}
Let t be -1 + (240/4)/2. Suppose -5*f + 36 + t = 0. Does 2 divide f?
False
{"question": "Let r = 2/9657 + -309046/106227. Which is the closest to 2? (a) -0.5 (b) r (c) 0.07", "answer": "c"}
Let r = 2/9657 + -309046/106227. Which is the closest to 2? (a) -0.5 (b) r (c) 0.07
c
{"question": "Is 361637 a prime number?", "answer": "True"}
Is 361637 a prime number?
True
{"question": "Let j(d) = -12*d - 12. Let v(s) = -3*s - 3. Determine 2*j(l) - 9*v(l).", "answer": "3*l + 3"}
Let j(d) = -12*d - 12. Let v(s) = -3*s - 3. Determine 2*j(l) - 9*v(l).
3*l + 3
{"question": "What are the prime factors of 430972622?", "answer": "2, 215486311"}
What are the prime factors of 430972622?
2, 215486311
{"question": "Let t = -4 - -30. Let z = t + -22. Let k be z + -3 + 10 - 1. What is the highest common factor of 60 and k?", "answer": "10"}
Let t = -4 - -30. Let z = t + -22. Let k be z + -3 + 10 - 1. What is the highest common factor of 60 and k?
10
{"question": "In base 14, what is -90c + 7d?", "answer": "-86d"}
In base 14, what is -90c + 7d?
-86d
{"question": "Is 2151971 prime?", "answer": "True"}
Is 2151971 prime?
True
{"question": "In base 12, what is -213437 - -4?", "answer": "-213433"}
In base 12, what is -213437 - -4?
-213433
{"question": "What is the c'th term of -67, -95, -11, 293, 925?", "answer": "18*c**3 - 52*c**2 + 2*c - 35"}
What is the c'th term of -67, -95, -11, 293, 925?
18*c**3 - 52*c**2 + 2*c - 35