text stringlengths 36 215 | instruction_seed stringlengths 5 160 | response_seed stringlengths 1 30 |
|---|---|---|
{"question": "Two letters picked without replacement from quiiuiuiquiqii. What is prob of picking 2 q?", "answer": "3/91"} | Two letters picked without replacement from quiiuiuiquiqii. What is prob of picking 2 q? | 3/91 |
{"question": "Determine i, given that i**2/4 - 55399*i/2 + 3069049201/4 = 0.", "answer": "55399"} | Determine i, given that i**2/4 - 55399*i/2 + 3069049201/4 = 0. | 55399 |
{"question": "What is the hundreds digit of 393?", "answer": "3"} | What is the hundreds digit of 393? | 3 |
{"question": "Let r(w) = -14*w + 7. Let h be r(-5). What is the highest common factor of h and 11?", "answer": "11"} | Let r(w) = -14*w + 7. Let h be r(-5). What is the highest common factor of h and 11? | 11 |
{"question": "Calculate the common denominator of 1/(8/(-6))*19 and 2*9/30 + 12 + 29493/(-1980).", "answer": "44"} | Calculate the common denominator of 1/(8/(-6))*19 and 2*9/30 + 12 + 29493/(-1980). | 44 |
{"question": "Solve -259*i - 6593 = 88*i for i.", "answer": "-19"} | Solve -259*i - 6593 = 88*i for i. | -19 |
{"question": "Expand (3266*k + 1393*k + 549*k)*(-2*k**2 - 3*k + 3*k + 2*k**3).", "answer": "10416*k**4 - 10416*k**3"} | Expand (3266*k + 1393*k + 549*k)*(-2*k**2 - 3*k + 3*k + 2*k**3). | 10416*k**4 - 10416*k**3 |
{"question": "What is the value of (-9 - -15) + (17 - (1 - -7)) + -5?", "answer": "10"} | What is the value of (-9 - -15) + (17 - (1 - -7)) + -5? | 10 |
{"question": "What is the t'th term of 1288, 1285, 1280, 1273, 1264, 1253?", "answer": "-t**2 + 1289"} | What is the t'th term of 1288, 1285, 1280, 1273, 1264, 1253? | -t**2 + 1289 |
{"question": "Factor -2*w**4 - 54/7*w + 36/7*w**2 - 54/7 + 2/7*w**5 + 20/7*w**3.", "answer": "2*(w - 3)**3*(w + 1)**2/7"} | Factor -2*w**4 - 54/7*w + 36/7*w**2 - 54/7 + 2/7*w**5 + 20/7*w**3. | 2*(w - 3)**3*(w + 1)**2/7 |
{"question": "Let t(i) = -i**2 - 64*i + 386. Determine t(-70).", "answer": "-34"} | Let t(i) = -i**2 - 64*i + 386. Determine t(-70). | -34 |
{"question": "Add together -520037 and -772039.", "answer": "-1292076"} | Add together -520037 and -772039. | -1292076 |
{"question": "Which is bigger: 84668 or -0.074?", "answer": "84668"} | Which is bigger: 84668 or -0.074? | 84668 |
{"question": "Evaluate (2 + -12 - 68159/(-6848))*2.", "answer": "-3/32"} | Evaluate (2 + -12 - 68159/(-6848))*2. | -3/32 |
{"question": "Round 0.0679350538 to two dps.", "answer": "0.07"} | Round 0.0679350538 to two dps. | 0.07 |
{"question": "What is the thousands digit of 112590?", "answer": "2"} | What is the thousands digit of 112590? | 2 |
{"question": "Let y be (-6)/(-21) - 52/(-14). Let r(o) = -o**3. Let f(v) be the first derivative of -v**4/2 + 14. Determine y*r(b) - f(b).", "answer": "-2*b**3"} | Let y be (-6)/(-21) - 52/(-14). Let r(o) = -o**3. Let f(v) be the first derivative of -v**4/2 + 14. Determine y*r(b) - f(b). | -2*b**3 |
{"question": "In base 6, what is -10 + 43402?", "answer": "43352"} | In base 6, what is -10 + 43402? | 43352 |
{"question": "How many millilitres are there in 23.16675l?", "answer": "23166.75"} | How many millilitres are there in 23.16675l? | 23166.75 |
{"question": "Convert 30002133 (base 4) to base 13.", "answer": "195a2"} | Convert 30002133 (base 4) to base 13. | 195a2 |
{"question": "Does 53 divide 2626764?", "answer": "False"} | Does 53 divide 2626764? | False |
{"question": "Suppose -8*m = -11*m + 117. Let v = m - 37. Calculate the smallest common multiple of v and 2.", "answer": "2"} | Suppose -8*m = -11*m + 117. Let v = m - 37. Calculate the smallest common multiple of v and 2. | 2 |
{"question": "What is the c'th term of 9880, 7226, 4572, 1918?", "answer": "-2654*c + 12534"} | What is the c'th term of 9880, 7226, 4572, 1918? | -2654*c + 12534 |
{"question": "Factor -256*q**3 - 93536*q**2 + 246855*q - 162288.", "answer": "-(q + 368)*(16*q - 21)**2"} | Factor -256*q**3 - 93536*q**2 + 246855*q - 162288. | -(q + 368)*(16*q - 21)**2 |
{"question": "Let b(n) = 13*n + 206. Let g be b(-15). Suppose -5*k = -5*f + 5590, g*k - 6*k = -4*f + 4490. Does 32 divide f?", "answer": "True"} | Let b(n) = 13*n + 206. Let g be b(-15). Suppose -5*k = -5*f + 5590, g*k - 6*k = -4*f + 4490. Does 32 divide f? | True |
{"question": "Let j be 2*(-1 - 3/2) - -1. Let b be 376/((6 - 1) + j). Is 23 a factor of b/(-32)*12/(-1)?", "answer": "False"} | Let j be 2*(-1 - 3/2) - -1. Let b be 376/((6 - 1) + j). Is 23 a factor of b/(-32)*12/(-1)? | False |
{"question": "What is the f'th term of 3991, 7948, 11893, 15820, 19723, 23596?", "answer": "-f**3 + 3964*f + 28"} | What is the f'th term of 3991, 7948, 11893, 15820, 19723, 23596? | -f**3 + 3964*f + 28 |
{"question": "Let b(y) = 13*y**2 - 1. Is 6 a factor of b(1)?", "answer": "True"} | Let b(y) = 13*y**2 - 1. Is 6 a factor of b(1)? | True |
{"question": "Let a = -59 + 62. Factor -16*q**5 + 0*q**3 + 7*q**a - 13*q**3 + 24*q**4 - 3*q**3.", "answer": "-q**3*(4*q - 3)**2"} | Let a = -59 + 62. Factor -16*q**5 + 0*q**3 + 7*q**a - 13*q**3 + 24*q**4 - 3*q**3. | -q**3*(4*q - 3)**2 |
{"question": "Convert 0.4071622t to grams.", "answer": "407162.2"} | Convert 0.4071622t to grams. | 407162.2 |
{"question": "Is 8663 a composite number?", "answer": "False"} | Is 8663 a composite number? | False |
{"question": "Sort 37, 757, -4, 3 in descending order.", "answer": "757, 37, 3, -4"} | Sort 37, 757, -4, 3 in descending order. | 757, 37, 3, -4 |
{"question": "Let l(p) = -p - 7. Let u be l(0). Let g = -4 - u. Suppose 0 = g*f - 0*f - 93. Does 20 divide f?", "answer": "False"} | Let l(p) = -p - 7. Let u be l(0). Let g = -4 - u. Suppose 0 = g*f - 0*f - 93. Does 20 divide f? | False |
{"question": "How many minutes are there between 3:05 PM and 9:21 PM?", "answer": "376"} | How many minutes are there between 3:05 PM and 9:21 PM? | 376 |
{"question": "Simplify ((x/(x*x/x**(-2)))/x**(2/7)*x**(-3/2)/x**(2/3))**(2/67) assuming x is positive.", "answer": "x**(-229/1407)"} | Simplify ((x/(x*x/x**(-2)))/x**(2/7)*x**(-3/2)/x**(2/3))**(2/67) assuming x is positive. | x**(-229/1407) |
{"question": "Calculate the common denominator of 71/16 and 133/48.", "answer": "48"} | Calculate the common denominator of 71/16 and 133/48. | 48 |
{"question": "Solve 3455*z - 157819 - 37460 = 161810 - 70324 for z.", "answer": "83"} | Solve 3455*z - 157819 - 37460 = 161810 - 70324 for z. | 83 |
{"question": "Let t(q) = -q**3 - 408*q**2 - 7726*q + 13198. What is t(-388)?", "answer": "6"} | Let t(q) = -q**3 - 408*q**2 - 7726*q + 13198. What is t(-388)? | 6 |
{"question": "Suppose -17*c - 2095 = -21*c - 3*a, 0 = -5*c + 2*a + 2613. Is c prime?", "answer": "True"} | Suppose -17*c - 2095 = -21*c - 3*a, 0 = -5*c + 2*a + 2613. Is c prime? | True |
{"question": "What is the least common multiple of 138 and 3496?", "answer": "10488"} | What is the least common multiple of 138 and 3496? | 10488 |
{"question": "What is 2/9 of a day in seconds?", "answer": "19200"} | What is 2/9 of a day in seconds? | 19200 |
{"question": "Suppose 5*q - 10 - 5 = 0. Suppose 0 = -2*v + v + 6. Let i be 9/(-4) + v/(-8). Put -1/6, q, i in decreasing order.", "answer": "q, -1/6, i"} | Suppose 5*q - 10 - 5 = 0. Suppose 0 = -2*v + v + 6. Let i be 9/(-4) + v/(-8). Put -1/6, q, i in decreasing order. | q, -1/6, i |
{"question": "Sort -1200031, 30, -4.", "answer": "-1200031, -4, 30"} | Sort -1200031, 30, -4. | -1200031, -4, 30 |
{"question": "What is the product of -95724.8 and -0.3?", "answer": "28717.44"} | What is the product of -95724.8 and -0.3? | 28717.44 |
{"question": "Suppose -4*r + 599 = -129. What are the prime factors of r?", "answer": "2, 7, 13"} | Suppose -4*r + 599 = -129. What are the prime factors of r? | 2, 7, 13 |
{"question": "Let a = -5400185 - -5400207.999956. Let y = 77 + -54. Let j = a - y. What is j rounded to five dps?", "answer": "-0.00004"} | Let a = -5400185 - -5400207.999956. Let y = 77 + -54. Let j = a - y. What is j rounded to five dps? | -0.00004 |
{"question": "What is the second derivative of 705*o**2 - 417*o?", "answer": "1410"} | What is the second derivative of 705*o**2 - 417*o? | 1410 |
{"question": "Simplify ((sqrt(1176) + sqrt(1176)*2)/(sqrt(32)/(sqrt(16)/sqrt(4)) + sqrt(8)))**2 + 0 + (sqrt(60)/sqrt(5))**2 + -5.", "answer": "1351/4"} | Simplify ((sqrt(1176) + sqrt(1176)*2)/(sqrt(32)/(sqrt(16)/sqrt(4)) + sqrt(8)))**2 + 0 + (sqrt(60)/sqrt(5))**2 + -5. | 1351/4 |
{"question": "Calculate prob of picking 2 s and 2 d when four letters picked without replacement from kcsccdccddsccdsccc.", "answer": "1/170"} | Calculate prob of picking 2 s and 2 d when four letters picked without replacement from kcsccdccddsccdsccc. | 1/170 |
{"question": "Let a be (-6 - 42/(-6)) + -37 + 0. Let s = a - -74. Calculate the least common multiple of s and 10.", "answer": "190"} | Let a be (-6 - 42/(-6)) + -37 + 0. Let s = a - -74. Calculate the least common multiple of s and 10. | 190 |
{"question": "What is the thousands digit of 17975?", "answer": "7"} | What is the thousands digit of 17975? | 7 |
{"question": "Does 1160 divide 23752160?", "answer": "True"} | Does 1160 divide 23752160? | True |
{"question": "Calculate the highest common divisor of 338 and 1283386.", "answer": "338"} | Calculate the highest common divisor of 338 and 1283386. | 338 |
{"question": "How many nanometers are there in three tenths of a micrometer?", "answer": "300"} | How many nanometers are there in three tenths of a micrometer? | 300 |
{"question": "What is the next term in -39554, -95445, -151336, -207227?", "answer": "-263118"} | What is the next term in -39554, -95445, -151336, -207227? | -263118 |
{"question": "Simplify -1 + sqrt(14)/sqrt(2) + (sqrt(42)/(sqrt(54)/sqrt(9)))**2.", "answer": "sqrt(7) + 6"} | Simplify -1 + sqrt(14)/sqrt(2) + (sqrt(42)/(sqrt(54)/sqrt(9)))**2. | sqrt(7) + 6 |
{"question": "Let d be (-290)/(-22) + (-8)/44. Suppose 5*z - d = 47. Is 12 a factor of z?", "answer": "True"} | Let d be (-290)/(-22) + (-8)/44. Suppose 5*z - d = 47. Is 12 a factor of z? | True |
{"question": "What is 9432 + -3?", "answer": "9429"} | What is 9432 + -3? | 9429 |
{"question": "Is -2164/3117 not equal to -2?", "answer": "True"} | Is -2164/3117 not equal to -2? | True |
{"question": "What are the prime factors of 626?", "answer": "2, 313"} | What are the prime factors of 626? | 2, 313 |
{"question": "What is the thousands digit of 314891?", "answer": "4"} | What is the thousands digit of 314891? | 4 |
{"question": "Collect the terms in -30897 - 14*m + 15441 + 15452.", "answer": "-14*m - 4"} | Collect the terms in -30897 - 14*m + 15441 + 15452. | -14*m - 4 |
{"question": "Suppose r = -s - 4, -s = 4*r - 0*s + 10. Let m be (((-288)/(-56))/12)/(12/21). Which is the second biggest value? (a) 0.5 (b) r (c) m (d) 0.45", "answer": "a"} | Suppose r = -s - 4, -s = 4*r - 0*s + 10. Let m be (((-288)/(-56))/12)/(12/21). Which is the second biggest value? (a) 0.5 (b) r (c) m (d) 0.45 | a |
{"question": "Evaluate 3 + (-2 - (0 + (1 - -3))).", "answer": "-3"} | Evaluate 3 + (-2 - (0 + (1 - -3))). | -3 |
{"question": "Suppose 40 = 4*z - z + 5*v, -3*z - v + 56 = 0. What are the prime factors of z?", "answer": "2, 5"} | Suppose 40 = 4*z - z + 5*v, -3*z - v + 56 = 0. What are the prime factors of z? | 2, 5 |
{"question": "Find the third derivative of -777665*j**6 - 187*j**2 + 114 wrt j.", "answer": "-93319800*j**3"} | Find the third derivative of -777665*j**6 - 187*j**2 + 114 wrt j. | -93319800*j**3 |
{"question": "Let f(z) be the second derivative of -7*z**5/120 - z**4/8 - 47*z**3/2 - 15*z - 2. Let q(x) be the second derivative of f(x). Determine q(-4).", "answer": "25"} | Let f(z) be the second derivative of -7*z**5/120 - z**4/8 - 47*z**3/2 - 15*z - 2. Let q(x) be the second derivative of f(x). Determine q(-4). | 25 |
{"question": "Let t be 1158/9*(-39)/26. Let q = t + 194. Which is bigger: q or 2/539?", "answer": "q"} | Let t be 1158/9*(-39)/26. Let q = t + 194. Which is bigger: q or 2/539? | q |
{"question": "What is the highest common factor of 1292641 and 1316?", "answer": "329"} | What is the highest common factor of 1292641 and 1316? | 329 |
{"question": "What is the c'th term of 616, 1473, 2286, 3049, 3756, 4401?", "answer": "-c**3 - 16*c**2 + 912*c - 279"} | What is the c'th term of 616, 1473, 2286, 3049, 3756, 4401? | -c**3 - 16*c**2 + 912*c - 279 |
{"question": "Is 14124 a multiple of 69?", "answer": "False"} | Is 14124 a multiple of 69? | False |
{"question": "7/((-140)/110)*(12 - 10)", "answer": "-11"} | 7/((-140)/110)*(12 - 10) | -11 |
{"question": "Let s(l) = -36*l**3 - 141*l**2 + 13*l + 15. What is s(-4)?", "answer": "11"} | Let s(l) = -36*l**3 - 141*l**2 + 13*l + 15. What is s(-4)? | 11 |
{"question": "Let -z**3/4 + 557*z**2/4 - 4094*z - 4911020 = 0. Calculate z.", "answer": "-155, 356"} | Let -z**3/4 + 557*z**2/4 - 4094*z - 4911020 = 0. Calculate z. | -155, 356 |
{"question": "Calculate -8151246 + 1.", "answer": "-8151245"} | Calculate -8151246 + 1. | -8151245 |
{"question": "Expand 1994 + 2496*a - 7489*a + 2495*a + 2497*a + a + 4*a - 3*a + (a + 0 + 0)*(4 - 6 + 3) - 3*a + 0*a + 6*a.", "answer": "5*a + 1994"} | Expand 1994 + 2496*a - 7489*a + 2495*a + 2497*a + a + 4*a - 3*a + (a + 0 + 0)*(4 - 6 + 3) - 3*a + 0*a + 6*a. | 5*a + 1994 |
{"question": "Expand (x + 4*x - x)*(2*x**3 + 0*x**3 + 0*x**3 + (-2*x**2 + 6*x**2 - 2*x**2)*(-2*x - 2*x + x) - 2*x + 2*x + 2*x**3) + 61*x**4 + 63*x**4 + 127*x**4.", "answer": "243*x**4"} | Expand (x + 4*x - x)*(2*x**3 + 0*x**3 + 0*x**3 + (-2*x**2 + 6*x**2 - 2*x**2)*(-2*x - 2*x + x) - 2*x + 2*x + 2*x**3) + 61*x**4 + 63*x**4 + 127*x**4. | 243*x**4 |
{"question": "Is -60 >= 5479?", "answer": "False"} | Is -60 >= 5479? | False |
{"question": "Is 2278079 composite?", "answer": "False"} | Is 2278079 composite? | False |
{"question": "Let j be ((-4)/108)/((-4)/(-969)). Let i = -35/4 - j. What is the closest to 0.1 in -0.5, i, 0.5?", "answer": "i"} | Let j be ((-4)/108)/((-4)/(-969)). Let i = -35/4 - j. What is the closest to 0.1 in -0.5, i, 0.5? | i |
{"question": "What is the closest to -2 in -2/13, -2, -1/2, -0.009?", "answer": "-2"} | What is the closest to -2 in -2/13, -2, -1/2, -0.009? | -2 |
{"question": "Put 74, 222, -0.1, 0.3 in descending order.", "answer": "222, 74, 0.3, -0.1"} | Put 74, 222, -0.1, 0.3 in descending order. | 222, 74, 0.3, -0.1 |
{"question": "What is one fifth of a century in months?", "answer": "240"} | What is one fifth of a century in months? | 240 |
{"question": "What is -197 (base 10) in base 6?", "answer": "-525"} | What is -197 (base 10) in base 6? | -525 |
{"question": "Let c = -117 + 117. Let f be (6/(-10))/((-3)/2). Is c at least f?", "answer": "False"} | Let c = -117 + 117. Let f be (6/(-10))/((-3)/2). Is c at least f? | False |
{"question": "How many minutes are there between 11:16 AM and 7:29 PM?", "answer": "493"} | How many minutes are there between 11:16 AM and 7:29 PM? | 493 |
{"question": "What is 10747770 to the power of 1/3, to the nearest integer?", "answer": "221"} | What is 10747770 to the power of 1/3, to the nearest integer? | 221 |
{"question": "What is 570 minutes before 8:51 AM?", "answer": "11:21 PM"} | What is 570 minutes before 8:51 AM? | 11:21 PM |
{"question": "Calculate the smallest common multiple of 3 and 4 - ((1 - 0) + -12).", "answer": "15"} | Calculate the smallest common multiple of 3 and 4 - ((1 - 0) + -12). | 15 |
{"question": "What is one sixteenth of a gram in micrograms?", "answer": "62500"} | What is one sixteenth of a gram in micrograms? | 62500 |
{"question": "Let u(f) = -4*f**2 - 5*f + 3. Let a(y) be the third derivative of -y**5/15 - y**4/4 + 2*y**3/3 - 4062*y**2. Calculate 5*a(t) - 6*u(t).", "answer": "4*t**2 + 2"} | Let u(f) = -4*f**2 - 5*f + 3. Let a(y) be the third derivative of -y**5/15 - y**4/4 + 2*y**3/3 - 4062*y**2. Calculate 5*a(t) - 6*u(t). | 4*t**2 + 2 |
{"question": "What is the hundreds digit of 2101750?", "answer": "7"} | What is the hundreds digit of 2101750? | 7 |
{"question": "Which is the closest to -10/7? (a) -0.2 (b) -3 (c) -2/5 (d) 3 (e) 0.4", "answer": "c"} | Which is the closest to -10/7? (a) -0.2 (b) -3 (c) -2/5 (d) 3 (e) 0.4 | c |
{"question": "Let a be 2 + (-1 + 4)/(-3). Let s(m) be the first derivative of 21*m**2/2 - 18*m - 4. Let f(p) = -p + 1. What is a*s(z) + 18*f(z)?", "answer": "3*z"} | Let a be 2 + (-1 + 4)/(-3). Let s(m) be the first derivative of 21*m**2/2 - 18*m - 4. Let f(p) = -p + 1. What is a*s(z) + 18*f(z)? | 3*z |
{"question": "Let z(t) = t - 1. Let i(k) = -k**2 - 5*k - 1. Let y(f) = -i(f) + 3*z(f). Let w be y(-8). Let q(d) = -d + 4. Let u(x) = -x + 3. Give w*q(g) + 3*u(g).", "answer": "-g + 1"} | Let z(t) = t - 1. Let i(k) = -k**2 - 5*k - 1. Let y(f) = -i(f) + 3*z(f). Let w be y(-8). Let q(d) = -d + 4. Let u(x) = -x + 3. Give w*q(g) + 3*u(g). | -g + 1 |
{"question": "Suppose -2*b = 5*w - 2*w - 1, -2*b = -2*w - 6. Suppose u - 72 = -b*u. Let x = -7529 - -7620. Calculate the remainder when x is divided by u.", "answer": "19"} | Suppose -2*b = 5*w - 2*w - 1, -2*b = -2*w - 6. Suppose u - 72 = -b*u. Let x = -7529 - -7620. Calculate the remainder when x is divided by u. | 19 |
{"question": "What is the value of ((-52)/50 + 2)*(-17 - (4641/(-78) - -45))?", "answer": "-12/5"} | What is the value of ((-52)/50 + 2)*(-17 - (4641/(-78) - -45))? | -12/5 |
{"question": "What is the s'th term of -5075, -19646, -43713, -77276, -120335, -172890, -234941?", "answer": "-4748*s**2 - 327*s"} | What is the s'th term of -5075, -19646, -43713, -77276, -120335, -172890, -234941? | -4748*s**2 - 327*s |
{"question": "Factor 2/5*j**2 + 12/5*j + 0.", "answer": "2*j*(j + 6)/5"} | Factor 2/5*j**2 + 12/5*j + 0. | 2*j*(j + 6)/5 |
{"question": "What is 625 minutes before 4:48 AM?", "answer": "6:23 PM"} | What is 625 minutes before 4:48 AM? | 6:23 PM |
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