text stringlengths 36 215 | instruction_seed stringlengths 5 160 | response_seed stringlengths 1 30 |
|---|---|---|
{"question": "Let n = -582702762.14021006 - 200837281.659791. Let v = n - -783540037. Let s = 6.8 + v. What is s rounded to seven dps?", "answer": "-0.0000011"} | Let n = -582702762.14021006 - 200837281.659791. Let v = n - -783540037. Let s = 6.8 + v. What is s rounded to seven dps? | -0.0000011 |
{"question": "Does 4 divide 5224?", "answer": "True"} | Does 4 divide 5224? | True |
{"question": "What is 959676.93 rounded to the nearest one million?", "answer": "1000000"} | What is 959676.93 rounded to the nearest one million? | 1000000 |
{"question": "Let h(a) = -a**3 + 3*a**2 + 342*a + 39. Let c be h(-17). Solve 0 = 4*x - c*x + 18*x for x.", "answer": "0"} | Let h(a) = -a**3 + 3*a**2 + 342*a + 39. Let c be h(-17). Solve 0 = 4*x - c*x + 18*x for x. | 0 |
{"question": "Calculate the common denominator of -16/26060025 and -23/75128.", "answer": "208480200"} | Calculate the common denominator of -16/26060025 and -23/75128. | 208480200 |
{"question": "What is the third root of 8 to the nearest integer?", "answer": "2"} | What is the third root of 8 to the nearest integer? | 2 |
{"question": "What is the closest to 1/4 in 0.2, -0.104, 0, 2?", "answer": "0.2"} | What is the closest to 1/4 in 0.2, -0.104, 0, 2? | 0.2 |
{"question": "0.2 times 9893", "answer": "1978.6"} | 0.2 times 9893 | 1978.6 |
{"question": "What is the highest common factor of 30 and 525?", "answer": "15"} | What is the highest common factor of 30 and 525? | 15 |
{"question": "Four letters picked without replacement from {x: 1, p: 19}. What is prob of picking 4 x?", "answer": "0"} | Four letters picked without replacement from {x: 1, p: 19}. What is prob of picking 4 x? | 0 |
{"question": "How many milligrams are there in 5.784675 tonnes?", "answer": "5784675000"} | How many milligrams are there in 5.784675 tonnes? | 5784675000 |
{"question": "Let u = 16 + -11. Let t = u - 5.3. Sort 2, 2/13, t in descending order.", "answer": "2, 2/13, t"} | Let u = 16 + -11. Let t = u - 5.3. Sort 2, 2/13, t in descending order. | 2, 2/13, t |
{"question": "Suppose 96*h - 66372 = 92*h - 2*a, -h + 3*a + 16614 = 0. Is h a multiple of 88?", "answer": "False"} | Suppose 96*h - 66372 = 92*h - 2*a, -h + 3*a + 16614 = 0. Is h a multiple of 88? | False |
{"question": "Let s(y) = 100*y - 177*y - 7 - 179*y. Is s(-2) a prime number?", "answer": "False"} | Let s(y) = 100*y - 177*y - 7 - 179*y. Is s(-2) a prime number? | False |
{"question": "Four letters picked without replacement from thhthtthttht. What is prob of picking 1 h and 3 t?", "answer": "35/99"} | Four letters picked without replacement from thhthtthttht. What is prob of picking 1 h and 3 t? | 35/99 |
{"question": "Simplify s**8/s*s*s/s**(-5/3)*(s**0*s)**(-22) assuming s is positive.", "answer": "s**(-34/3)"} | Simplify s**8/s*s*s/s**(-5/3)*(s**0*s)**(-22) assuming s is positive. | s**(-34/3) |
{"question": "Let w = 473 - 467. Suppose 2*k - 3*c - 9 = 0, -7*k + 3*k = 2*c + w. Sort 1, k, 3 in decreasing order.", "answer": "3, 1, k"} | Let w = 473 - 467. Suppose 2*k - 3*c - 9 = 0, -7*k + 3*k = 2*c + w. Sort 1, k, 3 in decreasing order. | 3, 1, k |
{"question": "Find the common denominator of -115/3954378 and 157/66.", "answer": "43498158"} | Find the common denominator of -115/3954378 and 157/66. | 43498158 |
{"question": "What is the greatest common divisor of 5 and 335?", "answer": "5"} | What is the greatest common divisor of 5 and 335? | 5 |
{"question": "Evaluate ((-924)/4774)/((-378)/868).", "answer": "4/9"} | Evaluate ((-924)/4774)/((-378)/868). | 4/9 |
{"question": "Suppose p - 5*p = -5*c + 319, p + 4*c = -64. Let f = p - -72. Is 17 a factor of ((-948)/48)/(1/f)?", "answer": "False"} | Suppose p - 5*p = -5*c + 319, p + 4*c = -64. Let f = p - -72. Is 17 a factor of ((-948)/48)/(1/f)? | False |
{"question": "Suppose 0 = 2*y + 4*r - 422, -2*y - r + 423 = 2*r. Suppose -s + w = 4*s - y, 4*s - 180 = 4*w. What is the highest common factor of s and 49?", "answer": "7"} | Suppose 0 = 2*y + 4*r - 422, -2*y - r + 423 = 2*r. Suppose -s + w = 4*s - y, 4*s - 180 = 4*w. What is the highest common factor of s and 49? | 7 |
{"question": "Let t = -9 - -0.5. Let p = t - -9. Let f = -9.2 - -9. What is the third biggest value in p, -0.4, f?", "answer": "-0.4"} | Let t = -9 - -0.5. Let p = t - -9. Let f = -9.2 - -9. What is the third biggest value in p, -0.4, f? | -0.4 |
{"question": "What is 391 minutes after 12:44 PM?", "answer": "7:15 PM"} | What is 391 minutes after 12:44 PM? | 7:15 PM |
{"question": "Suppose -4*s + 288 - 244 = 0. Suppose s*g = 12*g - 2. Is 2 a factor of g?", "answer": "True"} | Suppose -4*s + 288 - 244 = 0. Suppose s*g = 12*g - 2. Is 2 a factor of g? | True |
{"question": "What comes next: -38846, -38008, -37172, -36338?", "answer": "-35506"} | What comes next: -38846, -38008, -37172, -36338? | -35506 |
{"question": "Let i(y) = -y**3 - y**2 + 2*y + 1. Let d be i(2). Let m(a) = 2*a - 2. Let s be m(-4). Let z = d - s. Solve -z*l - l = 0 for l.", "answer": "0"} | Let i(y) = -y**3 - y**2 + 2*y + 1. Let d be i(2). Let m(a) = 2*a - 2. Let s be m(-4). Let z = d - s. Solve -z*l - l = 0 for l. | 0 |
{"question": "Let w = 4 + -6. Let t be 2/((-3)/3)*w. Solve 4*s = 12 + t for s.", "answer": "4"} | Let w = 4 + -6. Let t be 2/((-3)/3)*w. Solve 4*s = 12 + t for s. | 4 |
{"question": "What is the units digit of 132259681?", "answer": "1"} | What is the units digit of 132259681? | 1 |
{"question": "What is the tens digit of 203139239?", "answer": "3"} | What is the tens digit of 203139239? | 3 |
{"question": "Let r(n) = -6*n**2 - n + 2. Let m be r(-2). Let l be ((m/50)/(4/(-10)))/7. Let u = 0.1 - -0.9. What is the nearest to u in 2/9, l, 2?", "answer": "2/9"} | Let r(n) = -6*n**2 - n + 2. Let m be r(-2). Let l be ((m/50)/(4/(-10)))/7. Let u = 0.1 - -0.9. What is the nearest to u in 2/9, l, 2? | 2/9 |
{"question": "Let r(w) = -14*w + 3. Suppose 7 = -3*b - 29. Does 9 divide r(b)?", "answer": "True"} | Let r(w) = -14*w + 3. Suppose 7 = -3*b - 29. Does 9 divide r(b)? | True |
{"question": "Put -2, -172, 0, -399 in decreasing order.", "answer": "0, -2, -172, -399"} | Put -2, -172, 0, -399 in decreasing order. | 0, -2, -172, -399 |
{"question": "Let t(d) = 38*d. Let j(v) = -6198*v**2. Give t(j(r)).", "answer": "-235524*r**2"} | Let t(d) = 38*d. Let j(v) = -6198*v**2. Give t(j(r)). | -235524*r**2 |
{"question": "What is 35193181 to the power of 1/2, to the nearest integer?", "answer": "5932"} | What is 35193181 to the power of 1/2, to the nearest integer? | 5932 |
{"question": "Calculate prob of picking 2 q when two letters picked without replacement from {q: 6}.", "answer": "1"} | Calculate prob of picking 2 q when two letters picked without replacement from {q: 6}. | 1 |
{"question": "How many months are there in 1/5 of a century?", "answer": "240"} | How many months are there in 1/5 of a century? | 240 |
{"question": "Is 47477078581 a composite number?", "answer": "False"} | Is 47477078581 a composite number? | False |
{"question": "In base 6, what is -2 - -245?", "answer": "243"} | In base 6, what is -2 - -245? | 243 |
{"question": "Suppose -c + 3*c - 122 = 0. Let q = -35 + c. Calculate the remainder when 102 is divided by q.", "answer": "24"} | Suppose -c + 3*c - 122 = 0. Let q = -35 + c. Calculate the remainder when 102 is divided by q. | 24 |
{"question": "What is 691 minutes before 3:35 PM?", "answer": "4:04 AM"} | What is 691 minutes before 3:35 PM? | 4:04 AM |
{"question": "Collect the terms in -69*s - 7*s - 40*s.", "answer": "-116*s"} | Collect the terms in -69*s - 7*s - 40*s. | -116*s |
{"question": "In base 11, what is 10593 - 3156?", "answer": "8438"} | In base 11, what is 10593 - 3156? | 8438 |
{"question": "Let j(t) = -16*t + 30*t - 13*t. Let x(l) = -3 + l + 3. What is j(x(f))?", "answer": "f"} | Let j(t) = -16*t + 30*t - 13*t. Let x(l) = -3 + l + 3. What is j(x(f))? | f |
{"question": "32 times -1.583", "answer": "-50.656"} | 32 times -1.583 | -50.656 |
{"question": "Let k be (-56)/(-21)*9/6. Let b(c) be the second derivative of c**2 + 1/20*c**5 + 2*c + 5/6*c**3 + 0 + 1/3*c**k. Let b(x) = 0. Calculate x.", "answer": "-2, -1"} | Let k be (-56)/(-21)*9/6. Let b(c) be the second derivative of c**2 + 1/20*c**5 + 2*c + 5/6*c**3 + 0 + 1/3*c**k. Let b(x) = 0. Calculate x. | -2, -1 |
{"question": "Let j = 0 - 0. Is (-39 + j)/(-3 + 2) a multiple of 14?", "answer": "False"} | Let j = 0 - 0. Is (-39 + j)/(-3 + 2) a multiple of 14? | False |
{"question": "Let j = -1009 - -1009. Let v(o) be the first derivative of o**3 + 0*o**2 + j*o - 5/2*o**4 - 4. What is the third derivative of v(g) wrt g?", "answer": "-60"} | Let j = -1009 - -1009. Let v(o) be the first derivative of o**3 + 0*o**2 + j*o - 5/2*o**4 - 4. What is the third derivative of v(g) wrt g? | -60 |
{"question": "Let v = -1726 + 1725.9999998357. Round v to seven decimal places.", "answer": "-0.0000002"} | Let v = -1726 + 1725.9999998357. Round v to seven decimal places. | -0.0000002 |
{"question": "Suppose 4*v = -3*l + 531, 3*v = -l + 185 + 217. Let b(j) = -j**2 - j + 4. Let q be b(-3). Let g = 13 - q. What is the highest common divisor of v and g?", "answer": "15"} | Suppose 4*v = -3*l + 531, 3*v = -l + 185 + 217. Let b(j) = -j**2 - j + 4. Let q be b(-3). Let g = 13 - q. What is the highest common divisor of v and g? | 15 |
{"question": "Let y(n) = -n**3 + 2*n**2 + 69*n - 83. Give y(9).", "answer": "-29"} | Let y(n) = -n**3 + 2*n**2 + 69*n - 83. Give y(9). | -29 |
{"question": "Calculate -12 divided by 116065.", "answer": "-12/116065"} | Calculate -12 divided by 116065. | -12/116065 |
{"question": "Let s(d) = 78*d + 190. Let o be s(11). Factor -12*r**2 - 15*r**4 + 24*r**3 + 3*r**5 - o*r + 1048*r.", "answer": "3*r**2*(r - 2)**2*(r - 1)"} | Let s(d) = 78*d + 190. Let o be s(11). Factor -12*r**2 - 15*r**4 + 24*r**3 + 3*r**5 - o*r + 1048*r. | 3*r**2*(r - 2)**2*(r - 1) |
{"question": "Let k(t) be the second derivative of t**3/6 + 140*t - 1. Let a(l) = -88*l**2. What is k(a(y))?", "answer": "-88*y**2"} | Let k(t) be the second derivative of t**3/6 + 140*t - 1. Let a(l) = -88*l**2. What is k(a(y))? | -88*y**2 |
{"question": "Suppose 0*d = -2*d. Solve -2*l + 4*r + 20 = 0, d - 8 = 2*r for l.", "answer": "2"} | Suppose 0*d = -2*d. Solve -2*l + 4*r + 20 = 0, d - 8 = 2*r for l. | 2 |
{"question": "What is -9686.9 rounded to the nearest one hundred?", "answer": "-9700"} | What is -9686.9 rounded to the nearest one hundred? | -9700 |
{"question": "Let g = 0.25 - 0.05. Let x = 0.20015 - g. What is x rounded to five dps?", "answer": "0.00015"} | Let g = 0.25 - 0.05. Let x = 0.20015 - g. What is x rounded to five dps? | 0.00015 |
{"question": "Let l(d) = -d**2 - 2*d - 2. Let m be l(-2). Let g be (-10)/(-15)*(-6)/m. Let j = 42 - 42. Solve j = -g*k - 0 - 8 for k.", "answer": "-4"} | Let l(d) = -d**2 - 2*d - 2. Let m be l(-2). Let g be (-10)/(-15)*(-6)/m. Let j = 42 - 42. Solve j = -g*k - 0 - 8 for k. | -4 |
{"question": "Let a = -20 + 6. Let v = 31 + a. Suppose 0 = -0*w + w - v. Is 17 a factor of w?", "answer": "True"} | Let a = -20 + 6. Let v = 31 + a. Suppose 0 = -0*w + w - v. Is 17 a factor of w? | True |
{"question": "In base 13, what is -4 + 191?", "answer": "18a"} | In base 13, what is -4 + 191? | 18a |
{"question": "What is the ten thousands digit of 3965350648?", "answer": "5"} | What is the ten thousands digit of 3965350648? | 5 |
{"question": "Simplify (q/(q*q/q**(-2/9)))/q**(-1/2)*q/(q*q/((q/q**4)/q))*q*q**(2/15) assuming q is positive.", "answer": "q**(-413/90)"} | Simplify (q/(q*q/q**(-2/9)))/q**(-1/2)*q/(q*q/((q/q**4)/q))*q*q**(2/15) assuming q is positive. | q**(-413/90) |
{"question": "Rearrange 8*q**2 - 49 - 28*q**2 + 44 + 74*q - 137*q + 66*q to the form l + g*q + m*q**2 and give l.", "answer": "-5"} | Rearrange 8*q**2 - 49 - 28*q**2 + 44 + 74*q - 137*q + 66*q to the form l + g*q + m*q**2 and give l. | -5 |
{"question": "Let x be (263/(-12))/(90/(-144)). Let c = -448/15 + x. Let g = -2537/6 + 428. Calculate the common denominator of g and c.", "answer": "30"} | Let x be (263/(-12))/(90/(-144)). Let c = -448/15 + x. Let g = -2537/6 + 428. Calculate the common denominator of g and c. | 30 |
{"question": "Divide -11 by 47731.", "answer": "-11/47731"} | Divide -11 by 47731. | -11/47731 |
{"question": "What are the prime factors of 24254075?", "answer": "5, 23, 42181"} | What are the prime factors of 24254075? | 5, 23, 42181 |
{"question": "Suppose 5*a + 6*a = -66. Let q = -14626 + 628887/43. Find the common denominator of q and (1 + -2)/((-4)/a).", "answer": "86"} | Suppose 5*a + 6*a = -66. Let q = -14626 + 628887/43. Find the common denominator of q and (1 + -2)/((-4)/a). | 86 |
{"question": "Let j(q) = -24*q - 2. Let w be j(-1). Suppose -3*i + d + 517 = 0, i - 221 + w = -5*d. Suppose 0*y - i = -2*y. Does 22 divide y?", "answer": "False"} | Let j(q) = -24*q - 2. Let w be j(-1). Suppose -3*i + d + 517 = 0, i - 221 + w = -5*d. Suppose 0*y - i = -2*y. Does 22 divide y? | False |
{"question": "What is the smallest common multiple of 20506990 and 627765?", "answer": "61520970"} | What is the smallest common multiple of 20506990 and 627765? | 61520970 |
{"question": "Let n(m) = m**3 + 11*m**2 + 7*m - 12. Is 9 a factor of n(-10)?", "answer": "True"} | Let n(m) = m**3 + 11*m**2 + 7*m - 12. Is 9 a factor of n(-10)? | True |
{"question": "Solve 4*b + 3*b = 21 for b.", "answer": "3"} | Solve 4*b + 3*b = 21 for b. | 3 |
{"question": "Suppose 7*u + 1 - 8 = 0. Which is the nearest to -1.5? (a) 2 (b) 4 (c) u", "answer": "c"} | Suppose 7*u + 1 - 8 = 0. Which is the nearest to -1.5? (a) 2 (b) 4 (c) u | c |
{"question": "Let q = 7 + -5. Let y(k) = -14*k + 2. Let w be y(-6). Suppose -w = -q*f - 20. Calculate the greatest common divisor of f and 3.", "answer": "3"} | Let q = 7 + -5. Let y(k) = -14*k + 2. Let w be y(-6). Suppose -w = -q*f - 20. Calculate the greatest common divisor of f and 3. | 3 |
{"question": "What is -57361849 less than -53.53?", "answer": "57361795.47"} | What is -57361849 less than -53.53? | 57361795.47 |
{"question": "Express 24793*z + 757517 - 757517 in the form w*z + m and give w.", "answer": "24793"} | Express 24793*z + 757517 - 757517 in the form w*z + m and give w. | 24793 |
{"question": "Calculate the common denominator of 113/259072 and 31/3168.", "answer": "2331648"} | Calculate the common denominator of 113/259072 and 31/3168. | 2331648 |
{"question": "In base 15, what is 13252730 + 1?", "answer": "13252731"} | In base 15, what is 13252730 + 1? | 13252731 |
{"question": "What is 4 (base 14) in base 4?", "answer": "10"} | What is 4 (base 14) in base 4? | 10 |
{"question": "Let d(a) = 2*a**2. Let c(f) be the third derivative of f**7/1260 - 73*f**4/24 + 2*f**2 + 29. Let r(b) be the second derivative of c(b). What is r(d(h))?", "answer": "8*h**4"} | Let d(a) = 2*a**2. Let c(f) be the third derivative of f**7/1260 - 73*f**4/24 + 2*f**2 + 29. Let r(b) be the second derivative of c(b). What is r(d(h))? | 8*h**4 |
{"question": "What is 20220110020 (base 3) in base 4?", "answer": "201023310"} | What is 20220110020 (base 3) in base 4? | 201023310 |
{"question": "Four letters picked without replacement from {x: 1, c: 1, i: 1, a: 2, o: 1, g: 1}. Give prob of sequence gaix.", "answer": "1/420"} | Four letters picked without replacement from {x: 1, c: 1, i: 1, a: 2, o: 1, g: 1}. Give prob of sequence gaix. | 1/420 |
{"question": "What is 468/8*(-8)/18?", "answer": "-26"} | What is 468/8*(-8)/18? | -26 |
{"question": "Suppose 18661 = 23*b - 4132. Which is bigger: b or 7?", "answer": "b"} | Suppose 18661 = 23*b - 4132. Which is bigger: b or 7? | b |
{"question": "Let w = -151.32 - -156. Let h = 0.32 + w. Which is the biggest value? (a) -4/5 (b) h (c) 0", "answer": "b"} | Let w = -151.32 - -156. Let h = 0.32 + w. Which is the biggest value? (a) -4/5 (b) h (c) 0 | b |
{"question": "Suppose 338 = 11*o + 85. What is the highest common factor of 46 and o?", "answer": "23"} | Suppose 338 = 11*o + 85. What is the highest common factor of 46 and o? | 23 |
{"question": "What is the smallest common multiple of 284540 and 10?", "answer": "284540"} | What is the smallest common multiple of 284540 and 10? | 284540 |
{"question": "Simplify (sqrt(171) + -3)*-2.", "answer": "-6*sqrt(19) + 6"} | Simplify (sqrt(171) + -3)*-2. | -6*sqrt(19) + 6 |
{"question": "Calculate the remainder when 87037 is divided by 4147.", "answer": "4097"} | Calculate the remainder when 87037 is divided by 4147. | 4097 |
{"question": "Calculate -1877379 divided by -1.", "answer": "1877379"} | Calculate -1877379 divided by -1. | 1877379 |
{"question": "Suppose 0 = -4*d + 11 + 25. Suppose 492 = d*b - 5*b. Let c = b - 124. Which is smaller: -2/25 or c?", "answer": "c"} | Suppose 0 = -4*d + 11 + 25. Suppose 492 = d*b - 5*b. Let c = b - 124. Which is smaller: -2/25 or c? | c |
{"question": "Let d(l) = 1. Let z(y) = y + 30. Determine -5*d(v) + z(v).", "answer": "v + 25"} | Let d(l) = 1. Let z(y) = y + 30. Determine -5*d(v) + z(v). | v + 25 |
{"question": "Let b = 90.99 + -91. Let g = 12.993 + -13. Let m = g - b. What is m rounded to 2 decimal places?", "answer": "0"} | Let b = 90.99 + -91. Let g = 12.993 + -13. Let m = g - b. What is m rounded to 2 decimal places? | 0 |
{"question": "Expand 2*j - 2*j - j + (-45 + 6 - 13)*(2*j - 3*j - j) - 2*j + 4*j - 3*j.", "answer": "102*j"} | Expand 2*j - 2*j - j + (-45 + 6 - 13)*(2*j - 3*j - j) - 2*j + 4*j - 3*j. | 102*j |
{"question": "Let o(u) = -u**2 - 7*u - 7. Let p = -4 - 2. Let k be o(p). Let h = -2/40595 + -81164/527735. Put k, h, 0 in descending order.", "answer": "0, h, k"} | Let o(u) = -u**2 - 7*u - 7. Let p = -4 - 2. Let k be o(p). Let h = -2/40595 + -81164/527735. Put k, h, 0 in descending order. | 0, h, k |
{"question": "Let w(g) = 4*g + 3. Suppose 2*o = -o - 9. Determine w(o).", "answer": "-9"} | Let w(g) = 4*g + 3. Suppose 2*o = -o - 9. Determine w(o). | -9 |
{"question": "What is the fifth smallest value in -2, 2, 2/13, -3, 4?", "answer": "4"} | What is the fifth smallest value in -2, 2, 2/13, -3, 4? | 4 |
{"question": "Let h(g) = -4*g**3 - 9*g**2 - 46*g - 217. Let m be h(-4). Which is smaller: m or -11?", "answer": "-11"} | Let h(g) = -4*g**3 - 9*g**2 - 46*g - 217. Let m be h(-4). Which is smaller: m or -11? | -11 |
{"question": "In base 3, what is -21222110 + -10022002?", "answer": "-102021112"} | In base 3, what is -21222110 + -10022002? | -102021112 |
{"question": "Let k be (-6 + 0)/(2/(-1)). Suppose -6*f + f = -k*j - 16, 0 = -4*j - 8. Solve -d - 3*d + 5*b - 20 = 0, -f*b = 5*d + 25 for d.", "answer": "-5"} | Let k be (-6 + 0)/(2/(-1)). Suppose -6*f + f = -k*j - 16, 0 = -4*j - 8. Solve -d - 3*d + 5*b - 20 = 0, -f*b = 5*d + 25 for d. | -5 |
{"question": "Three letters picked without replacement from crcpccrpprrrr. Give prob of sequence ccr.", "answer": "6/143"} | Three letters picked without replacement from crcpccrpprrrr. Give prob of sequence ccr. | 6/143 |
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