text stringlengths 36 215 | instruction_seed stringlengths 5 160 | response_seed stringlengths 1 30 |
|---|---|---|
{"question": "How many years are there in 6166.28 centuries?", "answer": "616628"} | How many years are there in 6166.28 centuries? | 616628 |
{"question": "Let a(r) = r**3 - 8*r**2 + r + 13. What is a(6)?", "answer": "-53"} | Let a(r) = r**3 - 8*r**2 + r + 13. What is a(6)? | -53 |
{"question": "Let n = -1 - -8. Let l(p) = p**3 - 6*p**2 - 6*p - 9. Let s be l(n). Let d be (-2 + 6)/s - -4. Solve 2 = -d*i - 5*g - 0, -14 = -5*i - 3*g for i.", "answer": "4"} | Let n = -1 - -8. Let l(p) = p**3 - 6*p**2 - 6*p - 9. Let s be l(n). Let d be (-2 + 6)/s - -4. Solve 2 = -d*i - 5*g - 0, -14 = -5*i - 3*g for i. | 4 |
{"question": "-19.1*0.2", "answer": "-3.82"} | -19.1*0.2 | -3.82 |
{"question": "Let d = -70 - -77. Calculate the smallest common multiple of 7 and d.", "answer": "7"} | Let d = -70 - -77. Calculate the smallest common multiple of 7 and d. | 7 |
{"question": "Let k be 66/4 + 12/(-8). Suppose -k*v + 14*v = 2. Sort 0, 8, v in descending order.", "answer": "8, 0, v"} | Let k be 66/4 + 12/(-8). Suppose -k*v + 14*v = 2. Sort 0, 8, v in descending order. | 8, 0, v |
{"question": "Factor -3*r**3/4 - 11*r**2/2 - 7*r/4.", "answer": "-r*(r + 7)*(3*r + 1)/4"} | Factor -3*r**3/4 - 11*r**2/2 - 7*r/4. | -r*(r + 7)*(3*r + 1)/4 |
{"question": "Which is the fourth biggest value? (a) 0.4 (b) -4 (c) -6/29 (d) 1/7", "answer": "b"} | Which is the fourth biggest value? (a) 0.4 (b) -4 (c) -6/29 (d) 1/7 | b |
{"question": "Let p(f) = -3*f - 6 + 11 + 4 - 9. Let n(b) = -26*b**2. Calculate p(n(l)).", "answer": "78*l**2"} | Let p(f) = -3*f - 6 + 11 + 4 - 9. Let n(b) = -26*b**2. Calculate p(n(l)). | 78*l**2 |
{"question": "Is 3837 composite?", "answer": "True"} | Is 3837 composite? | True |
{"question": "What is the greatest common divisor of 129 and 152432592?", "answer": "129"} | What is the greatest common divisor of 129 and 152432592? | 129 |
{"question": "Suppose 10 = 5*k + a, 0*k - 3*a - 8 = -4*k. Suppose -168 = -7*r - 0*r. Suppose -22 - r = -k*s. What are the prime factors of s?", "answer": "23"} | Suppose 10 = 5*k + a, 0*k - 3*a - 8 = -4*k. Suppose -168 = -7*r - 0*r. Suppose -22 - r = -k*s. What are the prime factors of s? | 23 |
{"question": "Let f(o) be the first derivative of o**4/5 - 64*o**3/15 - 2*o**2/5 + 64*o/5 + 162. Factor f(k).", "answer": "4*(k - 16)*(k - 1)*(k + 1)/5"} | Let f(o) be the first derivative of o**4/5 - 64*o**3/15 - 2*o**2/5 + 64*o/5 + 162. Factor f(k). | 4*(k - 16)*(k - 1)*(k + 1)/5 |
{"question": "What is five quarters of a litre in millilitres?", "answer": "1250"} | What is five quarters of a litre in millilitres? | 1250 |
{"question": "Simplify ((sqrt(96)/(sqrt(4)*1))/sqrt(4))/(sqrt(432)*1*-1)*-2.", "answer": "sqrt(2)/6"} | Simplify ((sqrt(96)/(sqrt(4)*1))/sqrt(4))/(sqrt(432)*1*-1)*-2. | sqrt(2)/6 |
{"question": "In base 10, what is 146478 - 8?", "answer": "146470"} | In base 10, what is 146478 - 8? | 146470 |
{"question": "Let c(w) = 24*w - 12. Let o be c(8). Suppose k + 3*k + o = 0. Let m be 2/(-9) - 235/k. Solve 20 = -l + m*b, 0*b - b = 2*l - 15 for l.", "answer": "5"} | Let c(w) = 24*w - 12. Let o be c(8). Suppose k + 3*k + o = 0. Let m be 2/(-9) - 235/k. Solve 20 = -l + m*b, 0*b - b = 2*l - 15 for l. | 5 |
{"question": "Is 354456 a multiple of 9?", "answer": "True"} | Is 354456 a multiple of 9? | True |
{"question": "Simplify (x**(4/3)*x**(2/3))/(x*x*x**(2/7)*x*x)**(-17) assuming x is positive.", "answer": "x**(524/7)"} | Simplify (x**(4/3)*x**(2/3))/(x*x*x**(2/7)*x*x)**(-17) assuming x is positive. | x**(524/7) |
{"question": "Let r = -0.2849 + 0.0359. What is r rounded to 2 decimal places?", "answer": "-0.25"} | Let r = -0.2849 + 0.0359. What is r rounded to 2 decimal places? | -0.25 |
{"question": "Suppose -96*p + 341*p + 187825950 = -46*p. Round p to the nearest one hundred thousand.", "answer": "-600000"} | Suppose -96*p + 341*p + 187825950 = -46*p. Round p to the nearest one hundred thousand. | -600000 |
{"question": "What is -0.00001385836 rounded to seven decimal places?", "answer": "-0.0000139"} | What is -0.00001385836 rounded to seven decimal places? | -0.0000139 |
{"question": "Subtract -22 from -72.", "answer": "-50"} | Subtract -22 from -72. | -50 |
{"question": "What is the nearest to -3 in -0.2, -187, -0.0067, -5?", "answer": "-5"} | What is the nearest to -3 in -0.2, -187, -0.0067, -5? | -5 |
{"question": "Simplify (m**(-3/7)/m)/((m/(m/m**(-4/17)))/m)*m**3*(m*m*m*m*m/(m*m**(7/4))*m)/m assuming m is positive.", "answer": "m**(2407/476)"} | Simplify (m**(-3/7)/m)/((m/(m/m**(-4/17)))/m)*m**3*(m*m*m*m*m/(m*m**(7/4))*m)/m assuming m is positive. | m**(2407/476) |
{"question": "Put -8, 7, -15, 3, 15, 0 in descending order.", "answer": "15, 7, 3, 0, -8, -15"} | Put -8, 7, -15, 3, 15, 0 in descending order. | 15, 7, 3, 0, -8, -15 |
{"question": "(7*(-6)/(-945))/(1/3)", "answer": "2/15"} | (7*(-6)/(-945))/(1/3) | 2/15 |
{"question": "Let y(o) = o. Let j(l) = 7*l**2 - 6. Give j(y(m)).", "answer": "7*m**2 - 6"} | Let y(o) = o. Let j(l) = 7*l**2 - 6. Give j(y(m)). | 7*m**2 - 6 |
{"question": "Collect the terms in 10704 - 10704 - 131*n.", "answer": "-131*n"} | Collect the terms in 10704 - 10704 - 131*n. | -131*n |
{"question": "Add -47 and -60320.", "answer": "-60367"} | Add -47 and -60320. | -60367 |
{"question": "Let n(a) = 19*a - 89. Let w be n(14). Suppose 5*l - 284 = 2*y, -4*l - y + 45 = -w. Calculate the remainder when 105 is divided by l.", "answer": "49"} | Let n(a) = 19*a - 89. Let w be n(14). Suppose 5*l - 284 = 2*y, -4*l - y + 45 = -w. Calculate the remainder when 105 is divided by l. | 49 |
{"question": "Convert 10953 (base 10) to base 13.", "answer": "4ca7"} | Convert 10953 (base 10) to base 13. | 4ca7 |
{"question": "186 - 12032", "answer": "-11846"} | 186 - 12032 | -11846 |
{"question": "Collect the terms in 74*l**3 - 1526267*l**2 - 39*l**3 - 36*l**3.", "answer": "-l**3 - 1526267*l**2"} | Collect the terms in 74*l**3 - 1526267*l**2 - 39*l**3 - 36*l**3. | -l**3 - 1526267*l**2 |
{"question": "Let v = -19578 + 29789. Is v composite?", "answer": "False"} | Let v = -19578 + 29789. Is v composite? | False |
{"question": "Suppose 0 = 2*w + 5*o + 4, 5*w + 0*w = -o + 36. Suppose -5*u - 2*x = -10, -2*x + 6 = 4*u - 0*u. Suppose u*n + 344 = w*n. What is the tens digit of n?", "answer": "8"} | Suppose 0 = 2*w + 5*o + 4, 5*w + 0*w = -o + 36. Suppose -5*u - 2*x = -10, -2*x + 6 = 4*u - 0*u. Suppose u*n + 344 = w*n. What is the tens digit of n? | 8 |
{"question": "Calculate 8 + (1 - 3 - -6) + -12 - 15.", "answer": "-15"} | Calculate 8 + (1 - 3 - -6) + -12 - 15. | -15 |
{"question": "Which is the fourth biggest value? (a) 9/7 (b) 20/4723 (c) -2/5 (d) 0.2 (e) 0.5 (f) -1/11", "answer": "b"} | Which is the fourth biggest value? (a) 9/7 (b) 20/4723 (c) -2/5 (d) 0.2 (e) 0.5 (f) -1/11 | b |
{"question": "Calculate the common denominator of 2/9 - (2/2 + 595/(-1683)) and 6/81*(-2)/(-4).", "answer": "297"} | Calculate the common denominator of 2/9 - (2/2 + 595/(-1683)) and 6/81*(-2)/(-4). | 297 |
{"question": "Simplify (4 + 5 + sqrt(17) + (sqrt(425) - sqrt(17)))**2.", "answer": "90*sqrt(17) + 506"} | Simplify (4 + 5 + sqrt(17) + (sqrt(425) - sqrt(17)))**2. | 90*sqrt(17) + 506 |
{"question": "List the prime factors of 208403.", "answer": "13, 17, 23, 41"} | List the prime factors of 208403. | 13, 17, 23, 41 |
{"question": "What is the thousands digit of 26072?", "answer": "6"} | What is the thousands digit of 26072? | 6 |
{"question": "-16 divided by 31", "answer": "-16/31"} | -16 divided by 31 | -16/31 |
{"question": "Solve 3*w - 10 = -2*w + 5*p, -21*w + 21*w = 11*w + 18*p - 22 for w.", "answer": "2"} | Solve 3*w - 10 = -2*w + 5*p, -21*w + 21*w = 11*w + 18*p - 22 for w. | 2 |
{"question": "Simplify 5 + ((-6*-1*sqrt(154))/sqrt(11))/(sqrt(16)/sqrt(288)*-4).", "answer": "-9*sqrt(7) + 5"} | Simplify 5 + ((-6*-1*sqrt(154))/sqrt(11))/(sqrt(16)/sqrt(288)*-4). | -9*sqrt(7) + 5 |
{"question": "Suppose -2*c + 37 + 55 = -2*a, -150 = -3*c - 3*a. Let q = 106 - c. What is the remainder when q is divided by 30?", "answer": "28"} | Suppose -2*c + 37 + 55 = -2*a, -150 = -3*c - 3*a. Let q = 106 - c. What is the remainder when q is divided by 30? | 28 |
{"question": "What is 13 (base 12) in base 16?", "answer": "f"} | What is 13 (base 12) in base 16? | f |
{"question": "What is 402 minutes after 11:26 PM?", "answer": "6:08 AM"} | What is 402 minutes after 11:26 PM? | 6:08 AM |
{"question": "What is the next term in -35, -41, -57, -89, -143, -225?", "answer": "-341"} | What is the next term in -35, -41, -57, -89, -143, -225? | -341 |
{"question": "Let a = 26 - 1. Let l(v) = 2*v. Let y be l(-6). Let f = -3 - y. What is the remainder when a is divided by f?", "answer": "7"} | Let a = 26 - 1. Let l(v) = 2*v. Let y be l(-6). Let f = -3 - y. What is the remainder when a is divided by f? | 7 |
{"question": "What is 3 divided by 246?", "answer": "1/82"} | What is 3 divided by 246? | 1/82 |
{"question": "What is the z'th term of -85583240, -85583239, -85583238, -85583237, -85583236, -85583235?", "answer": "z - 85583241"} | What is the z'th term of -85583240, -85583239, -85583238, -85583237, -85583236, -85583235? | z - 85583241 |
{"question": "Solve 2*c = 5*m - 0*m - 3, -4*c + 4 = 0 for m.", "answer": "1"} | Solve 2*c = 5*m - 0*m - 3, -4*c + 4 = 0 for m. | 1 |
{"question": "Suppose 8*p - 46183 = 40796 - 18523. List the prime factors of p.", "answer": "43, 199"} | Suppose 8*p - 46183 = 40796 - 18523. List the prime factors of p. | 43, 199 |
{"question": "Let s be (-680437)/(-4) - (-642)/856. What is s rounded to the nearest 10000?", "answer": "170000"} | Let s be (-680437)/(-4) - (-642)/856. What is s rounded to the nearest 10000? | 170000 |
{"question": "In base 10, what is -12 + -12010657?", "answer": "-12010669"} | In base 10, what is -12 + -12010657? | -12010669 |
{"question": "Simplify (o**(1/4))**27*o/o**(-5)*o*o/(o*o**(-4)) assuming o is positive.", "answer": "o**(71/4)"} | Simplify (o**(1/4))**27*o/o**(-5)*o*o/(o*o**(-4)) assuming o is positive. | o**(71/4) |
{"question": "What is next in 3172, 6353, 9538, 12727, 15920?", "answer": "19117"} | What is next in 3172, 6353, 9538, 12727, 15920? | 19117 |
{"question": "What is -0.002203843 rounded to 5 decimal places?", "answer": "-0.0022"} | What is -0.002203843 rounded to 5 decimal places? | -0.0022 |
{"question": "Expand 210*f - 151*f**3 - 210*f + (-3*f**2 + 4*f - 4*f)*(f - 4 + 4) + 37*f - 37*f - 14*f**3.", "answer": "-168*f**3"} | Expand 210*f - 151*f**3 - 210*f + (-3*f**2 + 4*f - 4*f)*(f - 4 + 4) + 37*f - 37*f - 14*f**3. | -168*f**3 |
{"question": "Let f(j) = 4*j**2 - j. Let c be f(1). Suppose -c*p = -p - 44. Calculate the remainder when p is divided by 12.", "answer": "10"} | Let f(j) = 4*j**2 - j. Let c be f(1). Suppose -c*p = -p - 44. Calculate the remainder when p is divided by 12. | 10 |
{"question": "What is the ten millions digit of 282725646?", "answer": "8"} | What is the ten millions digit of 282725646? | 8 |
{"question": "Is 1632719409 a composite number?", "answer": "True"} | Is 1632719409 a composite number? | True |
{"question": "What comes next: -388, -407, -428, -451?", "answer": "-476"} | What comes next: -388, -407, -428, -451? | -476 |
{"question": "What is the value of -15 + -10 + 12 + 9?", "answer": "-4"} | What is the value of -15 + -10 + 12 + 9? | -4 |
{"question": "Suppose 448 + 16 = 16*q. Calculate the greatest common factor of 5 and q.", "answer": "1"} | Suppose 448 + 16 = 16*q. Calculate the greatest common factor of 5 and q. | 1 |
{"question": "Factor -n**4 + 60*n**3 - 884*n**2 - 960*n + 14400.", "answer": "-(n - 30)**2*(n - 4)*(n + 4)"} | Factor -n**4 + 60*n**3 - 884*n**2 - 960*n + 14400. | -(n - 30)**2*(n - 4)*(n + 4) |
{"question": "Sort -5, -2, 3, 186, 5, 8, -1.", "answer": "-5, -2, -1, 3, 5, 8, 186"} | Sort -5, -2, 3, 186, 5, 8, -1. | -5, -2, -1, 3, 5, 8, 186 |
{"question": "What is the closest to 1 in -2.2, -0.4, -0.2, -8?", "answer": "-0.2"} | What is the closest to 1 in -2.2, -0.4, -0.2, -8? | -0.2 |
{"question": "Let j(c) = c**2 + 2*c + 4. Let a be j(-6). Let p be 606/(-2121) + (-200)/(-14). What is the greatest common divisor of a and p?", "answer": "14"} | Let j(c) = c**2 + 2*c + 4. Let a be j(-6). Let p be 606/(-2121) + (-200)/(-14). What is the greatest common divisor of a and p? | 14 |
{"question": "Is 13 a factor of 15275?", "answer": "True"} | Is 13 a factor of 15275? | True |
{"question": "What comes next: 45, 96, 147, 198?", "answer": "249"} | What comes next: 45, 96, 147, 198? | 249 |
{"question": "Let y = -75 + 61.3. Let s = y - -11. Let f = -3 - s. What is the closest to -0.2 in 1, f, -1?", "answer": "f"} | Let y = -75 + 61.3. Let s = y - -11. Let f = -3 - s. What is the closest to -0.2 in 1, f, -1? | f |
{"question": "Let p(z) = z**2 + 32*z + 24. Does 11 divide p(-33)?", "answer": "False"} | Let p(z) = z**2 + 32*z + 24. Does 11 divide p(-33)? | False |
{"question": "Calculate prob of sequence tt when two letters picked without replacement from {t: 4, h: 4, k: 3, e: 2, f: 1}.", "answer": "6/91"} | Calculate prob of sequence tt when two letters picked without replacement from {t: 4, h: 4, k: 3, e: 2, f: 1}. | 6/91 |
{"question": "What is the least common multiple of 58 and 48836?", "answer": "48836"} | What is the least common multiple of 58 and 48836? | 48836 |
{"question": "Sort 0.3, 44, -0.2.", "answer": "-0.2, 0.3, 44"} | Sort 0.3, 44, -0.2. | -0.2, 0.3, 44 |
{"question": "Let x = 37 + -17. Let m = 19.9982 - x. What is m rounded to three dps?", "answer": "-0.002"} | Let x = 37 + -17. Let m = 19.9982 - x. What is m rounded to three dps? | -0.002 |
{"question": "Suppose -5*g + 4*g = -5. Suppose -39 = -g*d - 9. Solve -y = -d*y - 25 for y.", "answer": "-5"} | Suppose -5*g + 4*g = -5. Suppose -39 = -g*d - 9. Solve -y = -d*y - 25 for y. | -5 |
{"question": "Suppose -73*x - 2*x - 80 = 295. Sort 5, -27, x, -4, -2 in ascending order.", "answer": "-27, x, -4, -2, 5"} | Suppose -73*x - 2*x - 80 = 295. Sort 5, -27, x, -4, -2 in ascending order. | -27, x, -4, -2, 5 |
{"question": "Suppose -7*y + 6*y = -4. Suppose 0 = -y*x + 2*n - 6050, 0 = -2*x + 8*n - 3*n - 3045. Round x to the nearest 100.", "answer": "-1500"} | Suppose -7*y + 6*y = -4. Suppose 0 = -y*x + 2*n - 6050, 0 = -2*x + 8*n - 3*n - 3045. Round x to the nearest 100. | -1500 |
{"question": "Suppose -x - 4*k + 19 = -8, x = 3*k + 13. Suppose -q = -2*n - 2*n + 461, 915 = -2*q + n. Let g = q + 761. What is the highest common divisor of x and g?", "answer": "19"} | Suppose -x - 4*k + 19 = -8, x = 3*k + 13. Suppose -q = -2*n - 2*n + 461, 915 = -2*q + n. Let g = q + 761. What is the highest common divisor of x and g? | 19 |
{"question": "Let i be (95/(-57))/((-2)/(-6))*-95. What is the greatest common factor of i and 76?", "answer": "19"} | Let i be (95/(-57))/((-2)/(-6))*-95. What is the greatest common factor of i and 76? | 19 |
{"question": "Simplify 1 + (sqrt(99) + sqrt(99)*-3 + sqrt(99))/sqrt(9) + sqrt(11) + -5.", "answer": "-4"} | Simplify 1 + (sqrt(99) + sqrt(99)*-3 + sqrt(99))/sqrt(9) + sqrt(11) + -5. | -4 |
{"question": "Let q be ((-2)/4)/((-2)/(-32)). Let o be (20/q + 2)*2. Is o + 3/((-6)/(-94)) prime?", "answer": "False"} | Let q be ((-2)/4)/((-2)/(-32)). Let o be (20/q + 2)*2. Is o + 3/((-6)/(-94)) prime? | False |
{"question": "What is 3/5 of a tonne in kilograms?", "answer": "600"} | What is 3/5 of a tonne in kilograms? | 600 |
{"question": "Four letters picked without replacement from {t: 7, b: 4, m: 1, g: 2}. What is prob of sequence gtmg?", "answer": "1/1716"} | Four letters picked without replacement from {t: 7, b: 4, m: 1, g: 2}. What is prob of sequence gtmg? | 1/1716 |
{"question": "Let d = 121 + -129.7. Let t = d + 8.67872. What is t rounded to three dps?", "answer": "-0.021"} | Let d = 121 + -129.7. Let t = d + 8.67872. What is t rounded to three dps? | -0.021 |
{"question": "Suppose 129*k = 158*k - 957. Is 11 a factor of k?", "answer": "True"} | Suppose 129*k = 158*k - 957. Is 11 a factor of k? | True |
{"question": "Solve -24*h = -19*h + 30 for h.", "answer": "-6"} | Solve -24*h = -19*h + 30 for h. | -6 |
{"question": "What is the nearest to 2/3 in -3/4, 1/18, 10, -0.1, -31?", "answer": "1/18"} | What is the nearest to 2/3 in -3/4, 1/18, 10, -0.1, -31? | 1/18 |
{"question": "Let h = 2.35 + -2.2. Let w = 0.167 - h. What is w rounded to 3 decimal places?", "answer": "0.017"} | Let h = 2.35 + -2.2. Let w = 0.167 - h. What is w rounded to 3 decimal places? | 0.017 |
{"question": "Is 112140437 a composite number?", "answer": "False"} | Is 112140437 a composite number? | False |
{"question": "Let o(m) = -m**3 + 6*m**2 + 9*m - 11. Let k be o(7). Which is smaller: -2/13 or k?", "answer": "-2/13"} | Let o(m) = -m**3 + 6*m**2 + 9*m - 11. Let k be o(7). Which is smaller: -2/13 or k? | -2/13 |
{"question": "Put -34, 6, -4/9 in descending order.", "answer": "6, -4/9, -34"} | Put -34, 6, -4/9 in descending order. | 6, -4/9, -34 |
{"question": "Suppose 0 = 4*s - 85*t + 90*t, -t + 21 = 5*s. Let a(k) = 2*k**2 + 5*k + 3. Let y be a(-3). Let i = 0 + y. What is the remainder when i is divided by s?", "answer": "1"} | Suppose 0 = 4*s - 85*t + 90*t, -t + 21 = 5*s. Let a(k) = 2*k**2 + 5*k + 3. Let y be a(-3). Let i = 0 + y. What is the remainder when i is divided by s? | 1 |
{"question": "Calculate prob of sequence jl when two letters picked without replacement from {g: 3, j: 1, l: 11}.", "answer": "11/210"} | Calculate prob of sequence jl when two letters picked without replacement from {g: 3, j: 1, l: 11}. | 11/210 |
{"question": "Let m = -133 + 266. Let p be 7232/3729 + 2/33. Suppose -71 = -p*t + m. What is the hundreds digit of t?", "answer": "1"} | Let m = -133 + 266. Let p be 7232/3729 + 2/33. Suppose -71 = -p*t + m. What is the hundreds digit of t? | 1 |
{"question": "Simplify ((-2*sqrt(21)/sqrt(3))**2 - ((1 + sqrt(7))*5 + sqrt(7))**2) + (4 + 4*sqrt(567))**2.", "answer": "228*sqrt(7) + 8839"} | Simplify ((-2*sqrt(21)/sqrt(3))**2 - ((1 + sqrt(7))*5 + sqrt(7))**2) + (4 + 4*sqrt(567))**2. | 228*sqrt(7) + 8839 |
{"question": "Evaluate (-21 - 40) + -8 + 23.", "answer": "-46"} | Evaluate (-21 - 40) + -8 + 23. | -46 |
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