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a1_math_mathcoder

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{"question": "Convert 14 (base 16) to base 3.", "answer": "202"}
Convert 14 (base 16) to base 3.
202
{"question": "Which is the fourth smallest value? (a) -5/4 (b) -7 (c) 0.3 (d) 3 (e) -55 (f) -65.5", "answer": "a"}
Which is the fourth smallest value? (a) -5/4 (b) -7 (c) 0.3 (d) 3 (e) -55 (f) -65.5
a
{"question": "Solve t - 3 = -m, 126523*t - 21 = 126520*t - 5*m for t.", "answer": "-3"}
Solve t - 3 = -m, 126523*t - 21 = 126520*t - 5*m for t.
-3
{"question": "Sort 3, 0.2, 12, -3520, 0.03, -0.5 in increasing order.", "answer": "-3520, -0.5, 0.03, 0.2, 3, 12"}
Sort 3, 0.2, 12, -3520, 0.03, -0.5 in increasing order.
-3520, -0.5, 0.03, 0.2, 3, 12
{"question": "Let u(y) = 7*y**2. Let c(p) = -4227*p. What is c(u(l))?", "answer": "-29589*l**2"}
Let u(y) = 7*y**2. Let c(p) = -4227*p. What is c(u(l))?
-29589*l**2
{"question": "Let h = -3940 + 3946. Calculate the remainder when h is divided by 44/10 - 2/5.", "answer": "2"}
Let h = -3940 + 3946. Calculate the remainder when h is divided by 44/10 - 2/5.
2
{"question": "What is the nearest to 0.15 in -0.092, -0.1, -3?", "answer": "-0.092"}
What is the nearest to 0.15 in -0.092, -0.1, -3?
-0.092
{"question": "Simplify (-2 + sqrt(13) + -1)**2 + (1*sqrt(52)/sqrt(4) - sqrt(13))**2.", "answer": "-6*sqrt(13) + 22"}
Simplify (-2 + sqrt(13) + -1)**2 + (1*sqrt(52)/sqrt(4) - sqrt(13))**2.
-6*sqrt(13) + 22
{"question": "Suppose -2*z + 7*z - 4*m + 20 = 0, -z - 2*m = -10. Let r(v) be the second derivative of -7/2*v**2 + 0 + v - 1/6*v**3. Determine r(z).", "answer": "-7"}
Suppose -2*z + 7*z - 4*m + 20 = 0, -z - 2*m = -10. Let r(v) be the second derivative of -7/2*v**2 + 0 + v - 1/6*v**3. Determine r(z).
-7
{"question": "Express 776*c - 233*c + 551 - 545 + 725*c in the form o*c + h and give o.", "answer": "1268"}
Express 776*c - 233*c + 551 - 545 + 725*c in the form o*c + h and give o.
1268
{"question": "Let h(l) = -l**2 + 6*l + 4. Let g be h(5). Let m = -11 + g. Let v be 1 + 60 + 1 + m. What is the highest common factor of 15 and v?", "answer": "15"}
Let h(l) = -l**2 + 6*l + 4. Let g be h(5). Let m = -11 + g. Let v be 1 + 60 + 1 + m. What is the highest common factor of 15 and v?
15
{"question": "In base 7, what is 0 - 440?", "answer": "-440"}
In base 7, what is 0 - 440?
-440
{"question": "Is 1280651 a composite number?", "answer": "False"}
Is 1280651 a composite number?
False
{"question": "Let j(s) = 2*s - 7. What is the units digit of j(5)?", "answer": "3"}
Let j(s) = 2*s - 7. What is the units digit of j(5)?
3
{"question": "Suppose -3*b - g + 21 = -5*g, -2*g - 6 = 0. Let w be 5/((-1)/(-1) + 0). Suppose 7*n - r = 4*n + 2, n - r - 2 = 0. Sort n, w, b.", "answer": "n, b, w"}
Suppose -3*b - g + 21 = -5*g, -2*g - 6 = 0. Let w be 5/((-1)/(-1) + 0). Suppose 7*n - r = 4*n + 2, n - r - 2 = 0. Sort n, w, b.
n, b, w
{"question": "Let v = 488868982/639 + -765053. Let s = -3/71 - v. Which is the smallest value? (a) -3 (b) s (c) -0.1", "answer": "a"}
Let v = 488868982/639 + -765053. Let s = -3/71 - v. Which is the smallest value? (a) -3 (b) s (c) -0.1
a
{"question": "What is -208 (base 9) in base 16?", "answer": "-aa"}
What is -208 (base 9) in base 16?
-aa
{"question": "Suppose -2*c - c = -12. Suppose -c*j + 15 = -j. What is the units digit of j?", "answer": "5"}
Suppose -2*c - c = -12. Suppose -c*j + 15 = -j. What is the units digit of j?
5
{"question": "Is -1 bigger than 9/3290?", "answer": "False"}
Is -1 bigger than 9/3290?
False
{"question": "What comes next: -1482892, -2965847, -4448802, -5931757?", "answer": "-7414712"}
What comes next: -1482892, -2965847, -4448802, -5931757?
-7414712
{"question": "Collect the terms in 7*t - 5 + 23 - 5 + 12.", "answer": "7*t + 25"}
Collect the terms in 7*t - 5 + 23 - 5 + 12.
7*t + 25
{"question": "Rearrange -8*i**2 + 5*i**3 - i**2 + 19*i**2 + 2*i**3 to d*i**2 + v*i + f + t*i**3 and give d.", "answer": "10"}
Rearrange -8*i**2 + 5*i**3 - i**2 + 19*i**2 + 2*i**3 to d*i**2 + v*i + f + t*i**3 and give d.
10
{"question": "Let o = 29635 + -29589. What is the remainder when 1157 is divided by o?", "answer": "7"}
Let o = 29635 + -29589. What is the remainder when 1157 is divided by o?
7
{"question": "What is the remainder when 8636313 is divided by 806?", "answer": "23"}
What is the remainder when 8636313 is divided by 806?
23
{"question": "What is 2810 to the power of 1/9, to the nearest integer?", "answer": "2"}
What is 2810 to the power of 1/9, to the nearest integer?
2
{"question": "Let j(c) = c**2 + 45*c + 82. Let s be j(-46). Suppose -7*u + 226 - s = 0. What is the greatest common divisor of u and 161?", "answer": "7"}
Let j(c) = c**2 + 45*c + 82. Let s be j(-46). Suppose -7*u + 226 - s = 0. What is the greatest common divisor of u and 161?
7
{"question": "Calculate prob of picking 1 o and 1 h when two letters picked without replacement from {l: 2, o: 1, b: 1, y: 9, h: 3, w: 2}.", "answer": "1/51"}
Calculate prob of picking 1 o and 1 h when two letters picked without replacement from {l: 2, o: 1, b: 1, y: 9, h: 3, w: 2}.
1/51
{"question": "What is the millions digit of 67492580?", "answer": "7"}
What is the millions digit of 67492580?
7
{"question": "-3 + (7/77)/((-6)/(-234))", "answer": "6/11"}
-3 + (7/77)/((-6)/(-234))
6/11
{"question": "Factor 2*y**2/9 + 110162*y/3 + 330484/9.", "answer": "2*(y + 1)*(y + 165242)/9"}
Factor 2*y**2/9 + 110162*y/3 + 330484/9.
2*(y + 1)*(y + 165242)/9
{"question": "Suppose 0 = 4*k + 4*p + 80, -120*p + 122*p + 24 = -k. Let y = -4 - -2. Let f be (20 - 3)/(2/y). Is f < k?", "answer": "True"}
Suppose 0 = 4*k + 4*p + 80, -120*p + 122*p + 24 = -k. Let y = -4 - -2. Let f be (20 - 3)/(2/y). Is f < k?
True
{"question": "What is -82 take away 5?", "answer": "-87"}
What is -82 take away 5?
-87
{"question": "What are the prime factors of 17078539?", "answer": "17078539"}
What are the prime factors of 17078539?
17078539
{"question": "What comes next: 149, 295, 441, 587, 733?", "answer": "879"}
What comes next: 149, 295, 441, 587, 733?
879
{"question": "What is the third smallest value in 2, 5295, 1, 5, -4?", "answer": "2"}
What is the third smallest value in 2, 5295, 1, 5, -4?
2
{"question": "Convert -89 (base 12) to base 8.", "answer": "-151"}
Convert -89 (base 12) to base 8.
-151
{"question": "Find the second derivative of -13*k**2*o**3 + 2*k**2*o**2 + 18*k*o**3 - 2*k*o**2 + 2*o wrt k.", "answer": "-26*o**3 + 4*o**2"}
Find the second derivative of -13*k**2*o**3 + 2*k**2*o**2 + 18*k*o**3 - 2*k*o**2 + 2*o wrt k.
-26*o**3 + 4*o**2
{"question": "Does 2 divide 106?", "answer": "True"}
Does 2 divide 106?
True
{"question": "Sort 3, -1, -5, -20.", "answer": "-20, -5, -1, 3"}
Sort 3, -1, -5, -20.
-20, -5, -1, 3
{"question": "Expand (-3*p + 6*p - 4*p)*(-93*p + 39539 - 39539)*(2*p**2 + p - p).", "answer": "186*p**4"}
Expand (-3*p + 6*p - 4*p)*(-93*p + 39539 - 39539)*(2*p**2 + p - p).
186*p**4
{"question": "Multiply 19.359 and 0.102.", "answer": "1.974618"}
Multiply 19.359 and 0.102.
1.974618
{"question": "Suppose -29*f = 16*f - 81990. What are the prime factors of f?", "answer": "2, 911"}
Suppose -29*f = 16*f - 81990. What are the prime factors of f?
2, 911
{"question": "Is 433 a factor of 19930990?", "answer": "True"}
Is 433 a factor of 19930990?
True
{"question": "Let k(x) = -x + 11. Let b be k(2). Let f be (-3)/b - (357/(-9))/(-7). Let q(j) = -670*j - 20. Let r be q(f). Round r to the nearest 1000.", "answer": "4000"}
Let k(x) = -x + 11. Let b be k(2). Let f be (-3)/b - (357/(-9))/(-7). Let q(j) = -670*j - 20. Let r be q(f). Round r to the nearest 1000.
4000
{"question": "Let r be (-35398)/(-176) - (-1)/(-8). Let c = -5 + 7. Suppose 3*a + 189 = c*d, 2*d + a - r = -0*a. Does 7 divide d?", "answer": "False"}
Let r be (-35398)/(-176) - (-1)/(-8). Let c = -5 + 7. Suppose 3*a + 189 = c*d, 2*d + a - r = -0*a. Does 7 divide d?
False
{"question": "Factor -4*m**2 - 3213760*m - 645515833600.", "answer": "-4*(m + 401720)**2"}
Factor -4*m**2 - 3213760*m - 645515833600.
-4*(m + 401720)**2
{"question": "Expand (4 - 3 + 1)*(-3*j**5 + 123*j - 132*j + j**5) + (2*j**2 - 2*j**2 - 2*j**3)*(-2*j**2 + 0*j**2 + 3*j**2).", "answer": "-6*j**5 - 18*j"}
Expand (4 - 3 + 1)*(-3*j**5 + 123*j - 132*j + j**5) + (2*j**2 - 2*j**2 - 2*j**3)*(-2*j**2 + 0*j**2 + 3*j**2).
-6*j**5 - 18*j
{"question": "Evaluate 1 + (15 + -3 - 4).", "answer": "9"}
Evaluate 1 + (15 + -3 - 4).
9
{"question": "Expand ((a + 2*a - 2*a)*(-5 + 5 + 2) - 4*a + 3*a + 2*a)*(-12 + 13 - 3)*(8*a - 7*a + 8*a).", "answer": "-54*a**2"}
Expand ((a + 2*a - 2*a)*(-5 + 5 + 2) - 4*a + 3*a + 2*a)*(-12 + 13 - 3)*(8*a - 7*a + 8*a).
-54*a**2
{"question": "Is 303409411 a composite number?", "answer": "True"}
Is 303409411 a composite number?
True
{"question": "Three letters picked without replacement from gssuluuaaus. What is prob of picking 1 l, 1 g, and 1 u?", "answer": "4/165"}
Three letters picked without replacement from gssuluuaaus. What is prob of picking 1 l, 1 g, and 1 u?
4/165
{"question": "Factor m**3/8 - 71*m**2/8 + 511*m/8 - 441/8.", "answer": "(m - 63)*(m - 7)*(m - 1)/8"}
Factor m**3/8 - 71*m**2/8 + 511*m/8 - 441/8.
(m - 63)*(m - 7)*(m - 1)/8
{"question": "What is 12 + (-5 - -3) - (3 + -2)?", "answer": "9"}
What is 12 + (-5 - -3) - (3 + -2)?
9
{"question": "Four letters picked without replacement from oooogkkkmo. Give prob of sequence kkok.", "answer": "1/168"}
Four letters picked without replacement from oooogkkkmo. Give prob of sequence kkok.
1/168
{"question": "Suppose 20*m = 23*m + 4*u - 2124, -3*m + 8*u = -2196. Is 12 a factor of m?", "answer": "False"}
Suppose 20*m = 23*m + 4*u - 2124, -3*m + 8*u = -2196. Is 12 a factor of m?
False
{"question": "Let r(l) = 17*l + 9. Give r(-14).", "answer": "-229"}
Let r(l) = 17*l + 9. Give r(-14).
-229
{"question": "Let l(g) = 25*g**2 + 20*g + 3138. Determine l(0).", "answer": "3138"}
Let l(g) = 25*g**2 + 20*g + 3138. Determine l(0).
3138
{"question": "What is 0.0010080687 rounded to 7 decimal places?", "answer": "0.0010081"}
What is 0.0010080687 rounded to 7 decimal places?
0.0010081
{"question": "Suppose 3*z - 4*h = -447, 5*z - 5*h = -3*h - 745. Let p = 167 + z. Find the common denominator of -29/16 and (-3)/p - (-5)/(495/258).", "answer": "528"}
Suppose 3*z - 4*h = -447, 5*z - 5*h = -3*h - 745. Let p = 167 + z. Find the common denominator of -29/16 and (-3)/p - (-5)/(495/258).
528
{"question": "Two letters picked without replacement from {p: 1, m: 2, z: 5, y: 5, c: 3}. Give prob of picking 1 c and 1 y.", "answer": "1/8"}
Two letters picked without replacement from {p: 1, m: 2, z: 5, y: 5, c: 3}. Give prob of picking 1 c and 1 y.
1/8
{"question": "Is 5467819/77 + 96/264 a composite number?", "answer": "False"}
Is 5467819/77 + 96/264 a composite number?
False
{"question": "Calculate the greatest common factor of 520 and 40638.", "answer": "26"}
Calculate the greatest common factor of 520 and 40638.
26
{"question": "Suppose 54*t - 43*t = 0. Is -3/85 <= t?", "answer": "True"}
Suppose 54*t - 43*t = 0. Is -3/85 <= t?
True
{"question": "What is the least common multiple of 273 and 60?", "answer": "5460"}
What is the least common multiple of 273 and 60?
5460
{"question": "Add together -2 and -209.", "answer": "-211"}
Add together -2 and -209.
-211
{"question": "Let x(f) = 70*f**3 + 93*f + 16. Let b be x(-12). Round b to the nearest 10000.", "answer": "-120000"}
Let x(f) = 70*f**3 + 93*f + 16. Let b be x(-12). Round b to the nearest 10000.
-120000
{"question": "What is 0.14066 rounded to 1 dp?", "answer": "0.1"}
What is 0.14066 rounded to 1 dp?
0.1
{"question": "What is the closest to 64 in 4, 5, 2/13, -3/2, -2?", "answer": "5"}
What is the closest to 64 in 4, 5, 2/13, -3/2, -2?
5
{"question": "Collect the terms in 19610*l + 15087*l + 89798*l - 14467*l.", "answer": "110028*l"}
Collect the terms in 19610*l + 15087*l + 89798*l - 14467*l.
110028*l
{"question": "Calculate prob of sequence uuuu when four letters picked without replacement from {d: 7, u: 7}.", "answer": "5/143"}
Calculate prob of sequence uuuu when four letters picked without replacement from {d: 7, u: 7}.
5/143
{"question": "Evaluate (2/8)/(((-630)/48)/(-15)).", "answer": "2/7"}
Evaluate (2/8)/(((-630)/48)/(-15)).
2/7
{"question": "Find the third derivative of 8068570*j**2*m**6 - 13*j**2*m**2 + j**2*m + 2*m**2 - 25811*m wrt m.", "answer": "968228400*j**2*m**3"}
Find the third derivative of 8068570*j**2*m**6 - 13*j**2*m**2 + j**2*m + 2*m**2 - 25811*m wrt m.
968228400*j**2*m**3
{"question": "Let u = 5/58 - 107/232. Let d = -442 + 400. What is the nearest to d in u, -2/13, 3?", "answer": "u"}
Let u = 5/58 - 107/232. Let d = -442 + 400. What is the nearest to d in u, -2/13, 3?
u
{"question": "What is the smallest value in -1, 4, -5/37, 10, -2/3?", "answer": "-1"}
What is the smallest value in -1, 4, -5/37, 10, -2/3?
-1
{"question": "Let f = 3049/11 - 277. What is the nearest to -1 in 0.3, -0.5, f?", "answer": "-0.5"}
Let f = 3049/11 - 277. What is the nearest to -1 in 0.3, -0.5, f?
-0.5
{"question": "What is the tens digit of 5268471344?", "answer": "4"}
What is the tens digit of 5268471344?
4
{"question": "Let i = 35 - 31. Suppose s + 5*b = 971 - 215, 0 = -5*s - i*b + 3696. Suppose 2*t - y = 368, 0 = -4*t - 2*y - 0*y + s. Is t a multiple of 46?", "answer": "True"}
Let i = 35 - 31. Suppose s + 5*b = 971 - 215, 0 = -5*s - i*b + 3696. Suppose 2*t - y = 368, 0 = -4*t - 2*y - 0*y + s. Is t a multiple of 46?
True
{"question": "What is 9/10 of a decade in years?", "answer": "9"}
What is 9/10 of a decade in years?
9
{"question": "Let i(z) = 2*z**2 + z + 2. Let s(c) = -c**2 - 1. Let h(y) = -2*i(y) - 6*s(y). Calculate the smallest common multiple of h(4) and 20.", "answer": "260"}
Let i(z) = 2*z**2 + z + 2. Let s(c) = -c**2 - 1. Let h(y) = -2*i(y) - 6*s(y). Calculate the smallest common multiple of h(4) and 20.
260
{"question": "Suppose 11*o + 1548 = -6*o + 1599. Solve -l + o*k = -11, -2*k = -73 + 77 for l.", "answer": "5"}
Suppose 11*o + 1548 = -6*o + 1599. Solve -l + o*k = -11, -2*k = -73 + 77 for l.
5
{"question": "Simplify (k*k/(k**9*k))/(k*k**(-5/3))*(k**5)**(3/16) assuming k is positive.", "answer": "k**(-307/48)"}
Simplify (k*k/(k**9*k))/(k*k**(-5/3))*(k**5)**(3/16) assuming k is positive.
k**(-307/48)
{"question": "Simplify ((i**(-2))**(-26/3))**(2/141)/(i**(-1/9)/(i/i**(2/7)))**(-7/3) assuming i is positive.", "answer": "i**(-2132/1269)"}
Simplify ((i**(-2))**(-26/3))**(2/141)/(i**(-1/9)/(i/i**(2/7)))**(-7/3) assuming i is positive.
i**(-2132/1269)
{"question": "Let s = 1.3 - 1.3. Which is the biggest value? (a) s (b) -3/5 (c) 5 (d) 0.2", "answer": "c"}
Let s = 1.3 - 1.3. Which is the biggest value? (a) s (b) -3/5 (c) 5 (d) 0.2
c
{"question": "What is -752d (base 15) in base 7?", "answer": "-132166"}
What is -752d (base 15) in base 7?
-132166
{"question": "Divide -378417 by 29109.", "answer": "-13"}
Divide -378417 by 29109.
-13
{"question": "Solve 16 = -3*p + 75*r - 25*r - 45*r + 4, -16 = -4*p - 4*r for p.", "answer": "1"}
Solve 16 = -3*p + 75*r - 25*r - 45*r + 4, -16 = -4*p - 4*r for p.
1
{"question": "Factor -4*g**3 + 1192*g**2 - 1188*g.", "answer": "-4*g*(g - 297)*(g - 1)"}
Factor -4*g**3 + 1192*g**2 - 1188*g.
-4*g*(g - 297)*(g - 1)
{"question": "What is the z'th term of -2554, -5114, -7660, -10186, -12686?", "answer": "z**3 + z**2 - 2570*z + 14"}
What is the z'th term of -2554, -5114, -7660, -10186, -12686?
z**3 + z**2 - 2570*z + 14
{"question": "Let q(f) = -2*f**2 - 2*f + 4. Let y be q(1). What is the second biggest value in 1/2, 5, y?", "answer": "1/2"}
Let q(f) = -2*f**2 - 2*f + 4. Let y be q(1). What is the second biggest value in 1/2, 5, y?
1/2
{"question": "How many minutes are there between 9:30 AM and 3:43 PM?", "answer": "373"}
How many minutes are there between 9:30 AM and 3:43 PM?
373
{"question": "Collect the terms in -7*c**2 + 6*c**2 - 4*c**2 + 2*c**2.", "answer": "-3*c**2"}
Collect the terms in -7*c**2 + 6*c**2 - 4*c**2 + 2*c**2.
-3*c**2
{"question": "Suppose 0 = -2*m + 4, -42*c - 2 = -46*c - 3*m. Let u = -4 + 5. Let t be u + 1 + 72/(-37). Do c and t have the same value?", "answer": "False"}
Suppose 0 = -2*m + 4, -42*c - 2 = -46*c - 3*m. Let u = -4 + 5. Let t be u + 1 + 72/(-37). Do c and t have the same value?
False
{"question": "Subtract 178328 from 21921.", "answer": "-156407"}
Subtract 178328 from 21921.
-156407
{"question": "Let u(t) = -t**2 + 7*t + 3. Calculate u(6).", "answer": "9"}
Let u(t) = -t**2 + 7*t + 3. Calculate u(6).
9
{"question": "What is the value of 14 + (-9 - (-22 + 8)) + -10?", "answer": "9"}
What is the value of 14 + (-9 - (-22 + 8)) + -10?
9
{"question": "-8712 (base 11) to base 13", "answer": "-5313"}
-8712 (base 11) to base 13
-5313
{"question": "Let u = 236 - 219. Which is the nearest to u? (a) 2/19 (b) -1 (c) -0.3", "answer": "a"}
Let u = 236 - 219. Which is the nearest to u? (a) 2/19 (b) -1 (c) -0.3
a
{"question": "Solve -4*f = 225*r - 156*r - 74*r + 87, -f - 3*r = -59 for f.", "answer": "2"}
Solve -4*f = 225*r - 156*r - 74*r + 87, -f - 3*r = -59 for f.
2
{"question": "Let i = 681/10 - 68. Let m = 5 + -8. Which is the closest to m? (a) -3 (b) 0 (c) i", "answer": "a"}
Let i = 681/10 - 68. Let m = 5 + -8. Which is the closest to m? (a) -3 (b) 0 (c) i
a
{"question": "Calculate (486/2187)/(260/828) + 2/(-5).", "answer": "4/13"}
Calculate (486/2187)/(260/828) + 2/(-5).
4/13