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a1_math_mathcoder

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{"question": "Let j = 1632 + 4177. List the prime factors of j.", "answer": "37, 157"}
Let j = 1632 + 4177. List the prime factors of j.
37, 157
{"question": "Evaluate 1 + -15 + 34 + -19.", "answer": "1"}
Evaluate 1 + -15 + 34 + -19.
1
{"question": "What is 0.00010443 rounded to five dps?", "answer": "0.0001"}
What is 0.00010443 rounded to five dps?
0.0001
{"question": "Expand (-29*j - 31*j - 45*j)*(-26*j + 7*j**4 + 26*j) + j**5 + 0*j**5 - 3*j**5.", "answer": "-737*j**5"}
Expand (-29*j - 31*j - 45*j)*(-26*j + 7*j**4 + 26*j) + j**5 + 0*j**5 - 3*j**5.
-737*j**5
{"question": "Suppose 6 = 4*p - 5*j + 26, 4*j = 16. Suppose 86 = 2*c + 3*w, 0 = -p*c - 3*c + w + 107. Solve 4*k = 2*t + 3*t - c, 0 = -2*k - 4*t + 14 for k.", "answer": "-3"}
Suppose 6 = 4*p - 5*j + 26, 4*j = 16. Suppose 86 = 2*c + 3*w, 0 = -p*c - 3*c + w + 107. Solve 4*k = 2*t + 3*t - c, 0 = -2*k - 4*t + 14 for k.
-3
{"question": "What is -7.2347 rounded to 2 dps?", "answer": "-7.23"}
What is -7.2347 rounded to 2 dps?
-7.23
{"question": "Let h(g) = -g**3 - 2*g**2 + 5*g + 5. Let s be h(-3). Let j = 8/31 - -22/155. What is the closest to s in j, 1/6, -6?", "answer": "1/6"}
Let h(g) = -g**3 - 2*g**2 + 5*g + 5. Let s be h(-3). Let j = 8/31 - -22/155. What is the closest to s in j, 1/6, -6?
1/6
{"question": "Let o = -0.02 - -0.1. Let m = o - 1.08. What is the closest to m in -3, -0.4, 5?", "answer": "-0.4"}
Let o = -0.02 - -0.1. Let m = o - 1.08. What is the closest to m in -3, -0.4, 5?
-0.4
{"question": "What is (-11 + 1)/(840/(-750)) - 9?", "answer": "-1/14"}
What is (-11 + 1)/(840/(-750)) - 9?
-1/14
{"question": "Which is greater: -150 or -153?", "answer": "-150"}
Which is greater: -150 or -153?
-150
{"question": "What is 63940845 divided by 12788169?", "answer": "5"}
What is 63940845 divided by 12788169?
5
{"question": "Sort -5, 0, -14 in decreasing order.", "answer": "0, -5, -14"}
Sort -5, 0, -14 in decreasing order.
0, -5, -14
{"question": "Suppose -6 = -3*n + 4*t - 7*t, 0 = -t. Suppose -n*k + 10 = -8. Is k a multiple of 2?", "answer": "False"}
Suppose -6 = -3*n + 4*t - 7*t, 0 = -t. Suppose -n*k + 10 = -8. Is k a multiple of 2?
False
{"question": "Let a(p) = -p**3 + p - 1. Let b(c) = -3*c**3 + 5*c - 6. Let v be 2 + -1 + 0/(-2). Let s = 2 - v. Give s*b(o) - 4*a(o).", "answer": "o**3 + o - 2"}
Let a(p) = -p**3 + p - 1. Let b(c) = -3*c**3 + 5*c - 6. Let v be 2 + -1 + 0/(-2). Let s = 2 - v. Give s*b(o) - 4*a(o).
o**3 + o - 2
{"question": "Collect the terms in -5*m**2 + 3000 - m**2 + 5*m**2 - 1455 - 1512.", "answer": "-m**2 + 33"}
Collect the terms in -5*m**2 + 3000 - m**2 + 5*m**2 - 1455 - 1512.
-m**2 + 33
{"question": "What is the first derivative of 6*g - 2*g - 3 - g**4 - 4*g wrt g?", "answer": "-4*g**3"}
What is the first derivative of 6*g - 2*g - 3 - g**4 - 4*g wrt g?
-4*g**3
{"question": "What is the common denominator of 5/20096 and -31/23208?", "answer": "58298496"}
What is the common denominator of 5/20096 and -31/23208?
58298496
{"question": "Suppose 0 = -0*r - 2*r + 5*w + 32, -w + 23 = r. Let c = r - 14. Is 7 < c?", "answer": "False"}
Suppose 0 = -0*r - 2*r + 5*w + 32, -w + 23 = r. Let c = r - 14. Is 7 < c?
False
{"question": "Is -1 at most 374/1189467?", "answer": "True"}
Is -1 at most 374/1189467?
True
{"question": "Rearrange 154 + 35*i**2 + 146 - i - 34*i**2 + 0*i - 101 to c + n*i**2 + h*i and give h.", "answer": "-1"}
Rearrange 154 + 35*i**2 + 146 - i - 34*i**2 + 0*i - 101 to c + n*i**2 + h*i and give h.
-1
{"question": "Let p = 111825 + -12077207/108. What is the common denominator of p and 65/36?", "answer": "108"}
Let p = 111825 + -12077207/108. What is the common denominator of p and 65/36?
108
{"question": "12/(-8)*(-36)/(-27)", "answer": "-2"}
12/(-8)*(-36)/(-27)
-2
{"question": "Is 4402 < 4403?", "answer": "True"}
Is 4402 < 4403?
True
{"question": "Let b(w) = w**2. Let k(s) be the first derivative of 673*s**3/3 + s**2 - 2434. Determine k(b(t)).", "answer": "673*t**4 + 2*t**2"}
Let b(w) = w**2. Let k(s) be the first derivative of 673*s**3/3 + s**2 - 2434. Determine k(b(t)).
673*t**4 + 2*t**2
{"question": "Calculate (-2)/117*12*27/(-108).", "answer": "2/39"}
Calculate (-2)/117*12*27/(-108).
2/39
{"question": "Let s = -2 + 8. Suppose -17 = -a + 3*g, 0 = g - 4*g + s. Is a a prime number?", "answer": "True"}
Let s = -2 + 8. Suppose -17 = -a + 3*g, 0 = g - 4*g + s. Is a a prime number?
True
{"question": "What is the ten thousands digit of 10820?", "answer": "1"}
What is the ten thousands digit of 10820?
1
{"question": "Simplify (2 + -4 + sqrt(1300) + 0 + sqrt(1300))**2.", "answer": "-80*sqrt(13) + 5204"}
Simplify (2 + -4 + sqrt(1300) + 0 + sqrt(1300))**2.
-80*sqrt(13) + 5204
{"question": "Let w be (-16)/72 + 220/18. Let r(k) = 5*k**2 - w*k**2 + 8*k**2. Let c(f) = -3*f**2. Give c(r(s)).", "answer": "-3*s**4"}
Let w be (-16)/72 + 220/18. Let r(k) = 5*k**2 - w*k**2 + 8*k**2. Let c(f) = -3*f**2. Give c(r(s)).
-3*s**4
{"question": "Let c = 0.07 + 0. Let h = -0.06 - -0.16. Which is smaller: c or h?", "answer": "c"}
Let c = 0.07 + 0. Let h = -0.06 - -0.16. Which is smaller: c or h?
c
{"question": "Does 602 divide 3375956914?", "answer": "False"}
Does 602 divide 3375956914?
False
{"question": "Let f(a) = 2*a**2 + 20*a + 3. Let m be f(-9). List the prime factors of (-232)/(-6) + 10/m.", "answer": "2, 19"}
Let f(a) = 2*a**2 + 20*a + 3. Let m be f(-9). List the prime factors of (-232)/(-6) + 10/m.
2, 19
{"question": "Let m(j) = -4*j**2. Let g(v) = -250546*v - 2. What is g(m(c))?", "answer": "1002184*c**2 - 2"}
Let m(j) = -4*j**2. Let g(v) = -250546*v - 2. What is g(m(c))?
1002184*c**2 - 2
{"question": "What is next in -26, -44, -58, -68, -74, -76, -74?", "answer": "-68"}
What is next in -26, -44, -58, -68, -74, -76, -74?
-68
{"question": "Let c = 25 - 4. Let h = 332 + -143. What is the greatest common factor of h and c?", "answer": "21"}
Let c = 25 - 4. Let h = 332 + -143. What is the greatest common factor of h and c?
21
{"question": "What is the a'th term of 26, 40, 54?", "answer": "14*a + 12"}
What is the a'th term of 26, 40, 54?
14*a + 12
{"question": "What is the first derivative of -3837199*k + 2964502?", "answer": "-3837199"}
What is the first derivative of -3837199*k + 2964502?
-3837199
{"question": "Let j = -1 + -7. Let z = -79 - -65. Let w be 33/(-110)*(-2 - z/12). Is w <= j?", "answer": "False"}
Let j = -1 + -7. Let z = -79 - -65. Let w be 33/(-110)*(-2 - z/12). Is w <= j?
False
{"question": "Factor -3*s**3 + 228975*s**2 - 1831656*s + 3663216.", "answer": "-3*(s - 76317)*(s - 4)**2"}
Factor -3*s**3 + 228975*s**2 - 1831656*s + 3663216.
-3*(s - 76317)*(s - 4)**2
{"question": "Let k = 22 - 22.3. What is the second smallest value in k, -3/2, 2/19?", "answer": "k"}
Let k = 22 - 22.3. What is the second smallest value in k, -3/2, 2/19?
k
{"question": "Let p = -75.502 + 76. Let f = -0.098 + p. What is the closest to 1/2 in 3, f, -1/5?", "answer": "f"}
Let p = -75.502 + 76. Let f = -0.098 + p. What is the closest to 1/2 in 3, f, -1/5?
f
{"question": "What is the tens digit of 15/3 - 5/(15/(-333))?", "answer": "1"}
What is the tens digit of 15/3 - 5/(15/(-333))?
1
{"question": "Simplify (s**1)**(2/77)*(s*s**(1/2))/(s*s**(-3/4)) assuming s is positive.", "answer": "s**(393/308)"}
Simplify (s**1)**(2/77)*(s*s**(1/2))/(s*s**(-3/4)) assuming s is positive.
s**(393/308)
{"question": "In base 5, what is -23 - -1103320220?", "answer": "1103320142"}
In base 5, what is -23 - -1103320220?
1103320142
{"question": "Two letters picked without replacement from vvxvxxxvvxxx. Give prob of sequence xx.", "answer": "7/22"}
Two letters picked without replacement from vvxvxxxvvxxx. Give prob of sequence xx.
7/22
{"question": "What comes next: -72, -151, -236, -327, -424, -527, -636?", "answer": "-751"}
What comes next: -72, -151, -236, -327, -424, -527, -636?
-751
{"question": "Convert 12168 (base 9) to base 10.", "answer": "8162"}
Convert 12168 (base 9) to base 10.
8162
{"question": "What is the value of -22 + (-16 - (-28 - -10))?", "answer": "-20"}
What is the value of -22 + (-16 - (-28 - -10))?
-20
{"question": "Is 2125 a multiple of 25?", "answer": "True"}
Is 2125 a multiple of 25?
True
{"question": "Let z = 2.7 - 3.2. Which is the nearest to 1/3? (a) -4 (b) z (c) 0.14", "answer": "c"}
Let z = 2.7 - 3.2. Which is the nearest to 1/3? (a) -4 (b) z (c) 0.14
c
{"question": "List the prime factors of 9276.", "answer": "2, 3, 773"}
List the prime factors of 9276.
2, 3, 773
{"question": "Which is the second smallest value? (a) -3 (b) 9 (c) 47 (d) -2.8 (e) 101", "answer": "d"}
Which is the second smallest value? (a) -3 (b) 9 (c) 47 (d) -2.8 (e) 101
d
{"question": "What is 2 minus 29775?", "answer": "-29773"}
What is 2 minus 29775?
-29773
{"question": "Let s = -53 + 105. Is 26 a factor of s?", "answer": "True"}
Let s = -53 + 105. Is 26 a factor of s?
True
{"question": "Solve w = -2*f + 2, f - 1 = -w - 0*w for f.", "answer": "1"}
Solve w = -2*f + 2, f - 1 = -w - 0*w for f.
1
{"question": "What is the value of 138/(-115)*10/(-3)?", "answer": "4"}
What is the value of 138/(-115)*10/(-3)?
4
{"question": "Let f = -10/31 + 92/93. Let g = 0 - 0.4. Let o = -3 - 1. What is the nearest to -1/3 in g, o, f?", "answer": "g"}
Let f = -10/31 + 92/93. Let g = 0 - 0.4. Let o = -3 - 1. What is the nearest to -1/3 in g, o, f?
g
{"question": "Expand (-181*m**4 - 186*m + 188*m + 33*m**3 - 31*m**3)*(-1 - 1 + 0).", "answer": "362*m**4 - 4*m**3 - 4*m"}
Expand (-181*m**4 - 186*m + 188*m + 33*m**3 - 31*m**3)*(-1 - 1 + 0).
362*m**4 - 4*m**3 - 4*m
{"question": "In base 11, what is 2221 + -2?", "answer": "221a"}
In base 11, what is 2221 + -2?
221a
{"question": "Let k(j) = -j**3 - 5*j**2 + 5*j + 1. Let b(s) = -s**3 - 6*s**2 + 5*s + 1. Let y(g) = 5*b(g) - 6*k(g). Let w(r) = 2*r. Let z = -15 - -10. Give z*w(h) - 2*y(h).", "answer": "-2*h**3 + 2"}
Let k(j) = -j**3 - 5*j**2 + 5*j + 1. Let b(s) = -s**3 - 6*s**2 + 5*s + 1. Let y(g) = 5*b(g) - 6*k(g). Let w(r) = 2*r. Let z = -15 - -10. Give z*w(h) - 2*y(h).
-2*h**3 + 2
{"question": "Which is the nearest to 66? (a) 2.4 (b) 25/531 (c) 0.5 (d) 4 (e) 1/5", "answer": "d"}
Which is the nearest to 66? (a) 2.4 (b) 25/531 (c) 0.5 (d) 4 (e) 1/5
d
{"question": "Suppose 7*a + 42 = 9*a. Suppose -4*p - 24 = -5*p. Let q = p - a. Solve 0*g - 18 = -4*f - 3*g, -5 = -q*f + 2*g for f.", "answer": "3"}
Suppose 7*a + 42 = 9*a. Suppose -4*p - 24 = -5*p. Let q = p - a. Solve 0*g - 18 = -4*f - 3*g, -5 = -q*f + 2*g for f.
3
{"question": "Suppose 0 = -2*w - 20 + 24. Let t be (-8)/(-4)*(-6)/(-4). Sort w, -7, -5, t in descending order.", "answer": "t, w, -5, -7"}
Suppose 0 = -2*w - 20 + 24. Let t be (-8)/(-4)*(-6)/(-4). Sort w, -7, -5, t in descending order.
t, w, -5, -7
{"question": "What is -126837996 divided by -1102?", "answer": "115098"}
What is -126837996 divided by -1102?
115098
{"question": "Calculate the remainder when 2954 is divided by 64.", "answer": "10"}
Calculate the remainder when 2954 is divided by 64.
10
{"question": "Suppose 15241449 = 30*w - 11398551. What is w rounded to the nearest one hundred thousand?", "answer": "900000"}
Suppose 15241449 = 30*w - 11398551. What is w rounded to the nearest one hundred thousand?
900000
{"question": "Let i(m) = -m**3 + 5*m**2 + 6*m - 9. Let r be i(5). Let q = r + -25. Is q less than -5?", "answer": "False"}
Let i(m) = -m**3 + 5*m**2 + 6*m - 9. Let r be i(5). Let q = r + -25. Is q less than -5?
False
{"question": "Factor -2*k**2 - 76*k - 480.", "answer": "-2*(k + 8)*(k + 30)"}
Factor -2*k**2 - 76*k - 480.
-2*(k + 8)*(k + 30)
{"question": "In base 8, what is -1 + 430?", "answer": "427"}
In base 8, what is -1 + 430?
427
{"question": "What is the c'th term of 628, 623, 618, 613?", "answer": "-5*c + 633"}
What is the c'th term of 628, 623, 618, 613?
-5*c + 633
{"question": "Find the second derivative of -2309*d**3*i**2*z + 7*d**3*i*z**2 + d**3 + 2*d*i**2*z**2 - 3*d*i*z**2 - 6*d*i wrt i.", "answer": "-4618*d**3*z + 4*d*z**2"}
Find the second derivative of -2309*d**3*i**2*z + 7*d**3*i*z**2 + d**3 + 2*d*i**2*z**2 - 3*d*i*z**2 - 6*d*i wrt i.
-4618*d**3*z + 4*d*z**2
{"question": "In base 14, what is b + -6b7d72?", "answer": "-6b7d65"}
In base 14, what is b + -6b7d72?
-6b7d65
{"question": "Is 324858050 a multiple of 20?", "answer": "False"}
Is 324858050 a multiple of 20?
False
{"question": "Suppose 77 + 53 = 13*l. What is the greatest common divisor of l and 20?", "answer": "10"}
Suppose 77 + 53 = 13*l. What is the greatest common divisor of l and 20?
10
{"question": "Let h(u) be the second derivative of u**4/12 + u**3/2 - 39*u**2/2 + 11552*u. What is h(8)?", "answer": "49"}
Let h(u) be the second derivative of u**4/12 + u**3/2 - 39*u**2/2 + 11552*u. What is h(8)?
49
{"question": "What is 611.3993l in millilitres?", "answer": "611399.3"}
What is 611.3993l in millilitres?
611399.3
{"question": "Which is smaller: 1 or 20/39?", "answer": "20/39"}
Which is smaller: 1 or 20/39?
20/39
{"question": "Simplify ((m/(m/(m/m**(-2/7))*m))**17/(m**1*m/(m**3/m)*m))**(-1/57) assuming m is positive.", "answer": "m**(-9/133)"}
Simplify ((m/(m/(m/m**(-2/7))*m))**17/(m**1*m/(m**3/m)*m))**(-1/57) assuming m is positive.
m**(-9/133)
{"question": "Solve 79*n + 13*n = -383 - 261 for n.", "answer": "-7"}
Solve 79*n + 13*n = -383 - 261 for n.
-7
{"question": "Expand -q**4 + 0*q**4 + 3*q**4 + (5 - 5 + 6*q**2)*(-13*q - 2 - 2*q**2 + 13*q).", "answer": "-10*q**4 - 12*q**2"}
Expand -q**4 + 0*q**4 + 3*q**4 + (5 - 5 + 6*q**2)*(-13*q - 2 - 2*q**2 + 13*q).
-10*q**4 - 12*q**2
{"question": "Suppose -80*c = -4*d - 84*c + 223848, 7*d + 2*c = 391704. What are the prime factors of d?", "answer": "2, 3, 4663"}
Suppose -80*c = -4*d - 84*c + 223848, 7*d + 2*c = 391704. What are the prime factors of d?
2, 3, 4663
{"question": "Let z(w) = 3*w + 16. Let n be z(-5). Solve 4 - n = -3*a for a.", "answer": "-1"}
Let z(w) = 3*w + 16. Let n be z(-5). Solve 4 - n = -3*a for a.
-1
{"question": "Let n(k) = -k**3 - 6*k**2 + 5*k - 9. Let z be n(-7). Let s(g) be the second derivative of 1/54*g**4 + 0*g**3 + 0*g**2 - 2*g + 0 + 1/90*g**z. Factor s(d).", "answer": "2*d**2*(d + 1)/9"}
Let n(k) = -k**3 - 6*k**2 + 5*k - 9. Let z be n(-7). Let s(g) be the second derivative of 1/54*g**4 + 0*g**3 + 0*g**2 - 2*g + 0 + 1/90*g**z. Factor s(d).
2*d**2*(d + 1)/9
{"question": "What is 1604 to the power of 1/6, to the nearest integer?", "answer": "3"}
What is 1604 to the power of 1/6, to the nearest integer?
3
{"question": "Suppose 5*b + 2*z - 3796 = 0, 3*z = -3*b + 1819 + 464. What are the prime factors of b?", "answer": "2, 379"}
Suppose 5*b + 2*z - 3796 = 0, 3*z = -3*b + 1819 + 464. What are the prime factors of b?
2, 379
{"question": "Let d(j) = j**2 - 206*j + 205. Let y be d(1). Which is smaller: y or -29/27?", "answer": "-29/27"}
Let d(j) = j**2 - 206*j + 205. Let y be d(1). Which is smaller: y or -29/27?
-29/27
{"question": "2246272 divided by 3052", "answer": "736"}
2246272 divided by 3052
736
{"question": "Let w = -2091 - -2080. Which is the closest to -1/4? (a) -1/4 (b) w (c) -1", "answer": "a"}
Let w = -2091 - -2080. Which is the closest to -1/4? (a) -1/4 (b) w (c) -1
a
{"question": "Collect the terms in -15*q + 147*q + 26*q.", "answer": "158*q"}
Collect the terms in -15*q + 147*q + 26*q.
158*q
{"question": "Let w = 119/20 - 27/4. What is the nearest to 0.1 in w, -1/8, -0.2?", "answer": "-1/8"}
Let w = 119/20 - 27/4. What is the nearest to 0.1 in w, -1/8, -0.2?
-1/8
{"question": "Simplify (-1 + sqrt(125)*-1*-2 - ((sqrt(125) - (sqrt(125) + 0 + (sqrt(125) - (0 + sqrt(125))))) + 5))**2.", "answer": "-120*sqrt(5) + 536"}
Simplify (-1 + sqrt(125)*-1*-2 - ((sqrt(125) - (sqrt(125) + 0 + (sqrt(125) - (0 + sqrt(125))))) + 5))**2.
-120*sqrt(5) + 536
{"question": "Collect the terms in -4 + 2*r + 4 - 26*r.", "answer": "-24*r"}
Collect the terms in -4 + 2*r + 4 - 26*r.
-24*r
{"question": "Let k be (-4)/9 - 247/(-171). Which is the second smallest value? (a) 0.4 (b) 0 (c) 4 (d) k", "answer": "a"}
Let k be (-4)/9 - 247/(-171). Which is the second smallest value? (a) 0.4 (b) 0 (c) 4 (d) k
a
{"question": "Let g(q) be the first derivative of 0*q**5 + 0*q**6 - 2/3*q**3 + 0*q**2 - 2/7*q**7 + 3 + 0*q**4 + 0*q. What is the third derivative of g(l) wrt l?", "answer": "-240*l**3"}
Let g(q) be the first derivative of 0*q**5 + 0*q**6 - 2/3*q**3 + 0*q**2 - 2/7*q**7 + 3 + 0*q**4 + 0*q. What is the third derivative of g(l) wrt l?
-240*l**3
{"question": "232/(-580)*5/(-4)", "answer": "1/2"}
232/(-580)*5/(-4)
1/2
{"question": "What is prob of picking 3 d and 1 r when four letters picked without replacement from {o: 4, r: 1, c: 4, z: 1, m: 2, d: 6}?", "answer": "1/153"}
What is prob of picking 3 d and 1 r when four letters picked without replacement from {o: 4, r: 1, c: 4, z: 1, m: 2, d: 6}?
1/153
{"question": "Let x(r) = -r**3 - 4*r**2 - 3*r + 3. Give x(-3).", "answer": "3"}
Let x(r) = -r**3 - 4*r**2 - 3*r + 3. Give x(-3).
3
{"question": "Let t be 6/(-39) - (185/65 + -3). Suppose 2*d = 4*d + 492. Let r be -3 + d/(-39) + -3. Are t and r nonequal?", "answer": "True"}
Let t be 6/(-39) - (185/65 + -3). Suppose 2*d = 4*d + 492. Let r be -3 + d/(-39) + -3. Are t and r nonequal?
True
{"question": "What is the hundreds digit of 5291?", "answer": "2"}
What is the hundreds digit of 5291?
2
{"question": "Let y = 645039/27016 + -4/3377. Which is bigger: 23 or y?", "answer": "y"}
Let y = 645039/27016 + -4/3377. Which is bigger: 23 or y?
y