question stringlengths 40 165 | answer stringlengths 6 35 | instruction_seed stringlengths 40 165 | response_seed stringlengths 6 35 | _source stringclasses 1
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b'Let s = 18595 - 18587. Let m(j) = -7*j**2 + 55*j + 8. Determine m(s).\n' | b'0\n' | b'Let s = 18595 - 18587. Let m(j) = -7*j**2 + 55*j + 8. Determine m(s).\n' | b'0\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {f: 2, v: 1, w: 1, q: 1}. Give prob of sequence vfwq.\n' | b'1/60\n' | b'Four letters picked without replacement from {f: 2, v: 1, w: 1, q: 1}. Give prob of sequence vfwq.\n' | b'1/60\n' | deepmind/math_dataset |
b'Let z(c) = -9444*c**3 + 10*c**2 + 29*c - 1. Let r(u) = 18*u**3 + 2*u**2 + 2*u. Let m(g) = -9*r(g) + z(g). What is the third derivative of m(i) wrt i?\n' | b'-57636\n' | b'Let z(c) = -9444*c**3 + 10*c**2 + 29*c - 1. Let r(u) = 18*u**3 + 2*u**2 + 2*u. Let m(g) = -9*r(g) + z(g). What is the third derivative of m(i) wrt i?\n' | b'-57636\n' | deepmind/math_dataset |
b'Let c(h) = -13462*h**2 + 13456*h**2 - h**3 - h - 4 - 1. Calculate c(-6).\n' | b'1\n' | b'Let c(h) = -13462*h**2 + 13456*h**2 - h**3 - h - 4 - 1. Calculate c(-6).\n' | b'1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from rryr. What is prob of sequence yr?\n' | b'1/4\n' | b'Two letters picked without replacement from rryr. What is prob of sequence yr?\n' | b'1/4\n' | deepmind/math_dataset |
b'Let t(y) be the first derivative of -7/6*y**6 + 0*y**4 - y**5 + 2*y**2 + 4*y + 115 + 0*y**3. Find the second derivative of t(b) wrt b.\n' | b'-140*b**3 - 60*b**2\n' | b'Let t(y) be the first derivative of -7/6*y**6 + 0*y**4 - y**5 + 2*y**2 + 4*y + 115 + 0*y**3. Find the second derivative of t(b) wrt b.\n' | b'-140*b**3 - 60*b**2\n' | deepmind/math_dataset |
b'Let z be (1/4)/((-1)/(-8)). Let u = 4 + z. Suppose 4 = -t + u. Solve 14 = 4*q + v + t*v, -3*q + 3*v = -21 for q.\n' | b'5\n' | b'Let z be (1/4)/((-1)/(-8)). Let u = 4 + z. Suppose 4 = -t + u. Solve 14 = 4*q + v + t*v, -3*q + 3*v = -21 for q.\n' | b'5\n' | deepmind/math_dataset |
b'Let m(n) be the second derivative of 0 + 0*n**2 - 2/3*n**3 + 0*n**4 + 5/6*n**6 + 30*n + 0*n**5. What is the second derivative of m(v) wrt v?\n' | b'300*v**2\n' | b'Let m(n) be the second derivative of 0 + 0*n**2 - 2/3*n**3 + 0*n**4 + 5/6*n**6 + 30*n + 0*n**5. What is the second derivative of m(v) wrt v?\n' | b'300*v**2\n' | deepmind/math_dataset |
b'Let u(j) = 3 + 2 + j + 0*j. Suppose 30*b - 32*b = -8. Let d be 3 + -1 + (-33)/3 + b. What is u(d)?\n' | b'0\n' | b'Let u(j) = 3 + 2 + j + 0*j. Suppose 30*b - 32*b = -8. Let d be 3 + -1 + (-33)/3 + b. What is u(d)?\n' | b'0\n' | deepmind/math_dataset |
b'Let t be (-9 + 27)*1/2. Solve t = -s - 5*p, -3*s + 9 = -2*s - 4*p for s.\n' | b'1\n' | b'Let t be (-9 + 27)*1/2. Solve t = -s - 5*p, -3*s + 9 = -2*s - 4*p for s.\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of sequence vvvv when four letters picked without replacement from {v: 9}.\n' | b'1\n' | b'Calculate prob of sequence vvvv when four letters picked without replacement from {v: 9}.\n' | b'1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {k: 1, l: 1, s: 2, b: 6, t: 3, n: 2}. What is prob of picking 1 k and 1 b?\n' | b'2/35\n' | b'Two letters picked without replacement from {k: 1, l: 1, s: 2, b: 6, t: 3, n: 2}. What is prob of picking 1 k and 1 b?\n' | b'2/35\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {c: 2, b: 2, p: 5}. Give prob of picking 1 p and 1 b.\n' | b'5/18\n' | b'Two letters picked without replacement from {c: 2, b: 2, p: 5}. Give prob of picking 1 p and 1 b.\n' | b'5/18\n' | deepmind/math_dataset |
b'What is prob of sequence uus when three letters picked without replacement from {u: 2, s: 2}?\n' | b'1/6\n' | b'What is prob of sequence uus when three letters picked without replacement from {u: 2, s: 2}?\n' | b'1/6\n' | deepmind/math_dataset |
b'Let h = -4 + 9. Let k(t) = -10*t**3 + 5*t**2 + 5*t - 12. Let a(o) = -o**3 + o**2 + o - 1. Let p(z) = h*a(z) - k(z). Find the first derivative of p(m) wrt m.\n' | b'15*m**2\n' | b'Let h = -4 + 9. Let k(t) = -10*t**3 + 5*t**2 + 5*t - 12. Let a(o) = -o**3 + o**2 + o - 1. Let p(z) = h*a(z) - k(z). Find the first derivative of p(m) wrt m.\n' | b'15*m**2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ilrznlrririrmlr. Give prob of picking 2 r, 1 z, and 1 l.\n' | b'3/91\n' | b'Four letters picked without replacement from ilrznlrririrmlr. Give prob of picking 2 r, 1 z, and 1 l.\n' | b'3/91\n' | deepmind/math_dataset |
b'What is prob of picking 1 g, 2 i, and 1 v when four letters picked without replacement from elvveigiellij?\n' | b'6/715\n' | b'What is prob of picking 1 g, 2 i, and 1 v when four letters picked without replacement from elvveigiellij?\n' | b'6/715\n' | deepmind/math_dataset |
b'Let l(v) = 90*v**3 + 79*v. Let f(r) = r**3. Let j(p) = -5*f(p) - l(p). What is the second derivative of j(i) wrt i?\n' | b'-570*i\n' | b'Let l(v) = 90*v**3 + 79*v. Let f(r) = r**3. Let j(p) = -5*f(p) - l(p). What is the second derivative of j(i) wrt i?\n' | b'-570*i\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {t: 1, w: 4, q: 1, v: 1, y: 6}. What is prob of picking 3 y?\n' | b'10/143\n' | b'Three letters picked without replacement from {t: 1, w: 4, q: 1, v: 1, y: 6}. What is prob of picking 3 y?\n' | b'10/143\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ieeeqrriqrrirrrrri. What is prob of sequence qe?\n' | b'1/51\n' | b'Two letters picked without replacement from ieeeqrriqrrirrrrri. What is prob of sequence qe?\n' | b'1/51\n' | deepmind/math_dataset |
b'Let j(t) = -t**2 + 13*t - 8. Let c be j(12). Solve 0 = -2*v - 8, -c*a - 3*v = -4*v - 12 for a.\n' | b'2\n' | b'Let j(t) = -t**2 + 13*t - 8. Let c be j(12). Solve 0 = -2*v - 8, -c*a - 3*v = -4*v - 12 for a.\n' | b'2\n' | deepmind/math_dataset |
b'Calculate prob of sequence oo when two letters picked without replacement from {o: 2, j: 3}.\n' | b'1/10\n' | b'Calculate prob of sequence oo when two letters picked without replacement from {o: 2, j: 3}.\n' | b'1/10\n' | deepmind/math_dataset |
b'Simplify (h**(2/7)*h*h**(-6)*h*h)**37*(h*h/(h**0*h))**(3/10)/(h**(7/5)*h**(2/13)) assuming h is positive.\n' | b'h**(-92531/910)\n' | b'Simplify (h**(2/7)*h*h**(-6)*h*h)**37*(h*h/(h**0*h))**(3/10)/(h**(7/5)*h**(2/13)) assuming h is positive.\n' | b'h**(-92531/910)\n' | deepmind/math_dataset |
b'What is prob of sequence wcmb when four letters picked without replacement from {q: 3, c: 3, m: 8, w: 1, b: 2, a: 1}?\n' | b'1/1530\n' | b'What is prob of sequence wcmb when four letters picked without replacement from {q: 3, c: 3, m: 8, w: 1, b: 2, a: 1}?\n' | b'1/1530\n' | deepmind/math_dataset |
b'Suppose -3*x + 12 = -x. Suppose 20 = 5*y, -4*s + 2*y - x = -18. Find the second derivative of c**s - c + 3*c - 3*c**5 wrt c.\n' | b'-40*c**3\n' | b'Suppose -3*x + 12 = -x. Suppose 20 = 5*y, -4*s + 2*y - x = -18. Find the second derivative of c**s - c + 3*c - 3*c**5 wrt c.\n' | b'-40*c**3\n' | deepmind/math_dataset |
b'Let z(b) = b**3 - 10*b**2 + b - 5. Let m be 11 - (8 - 7)*1. Let h be z(m). Solve 5*k - 10 = -3*n, 5*n - n = -h*k + 5 for n.\n' | b'-5\n' | b'Let z(b) = b**3 - 10*b**2 + b - 5. Let m be 11 - (8 - 7)*1. Let h be z(m). Solve 5*k - 10 = -3*n, 5*n - n = -h*k + 5 for n.\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose -22 = -3*k - 16. What is the third derivative of -13*b**3 - 11*b**k + 35*b**3 - 15*b**3 wrt b?\n' | b'42\n' | b'Suppose -22 = -3*k - 16. What is the third derivative of -13*b**3 - 11*b**k + 35*b**3 - 15*b**3 wrt b?\n' | b'42\n' | deepmind/math_dataset |
b'Let k(m) = -4*m**2 - 29*m - 22. Let x be k(-6). Let z(p) = 3*p - 21. Let c be z(x). Solve 2 = o - 3*t, -c*o = 2*o + t + 22 for o.\n' | b'-4\n' | b'Let k(m) = -4*m**2 - 29*m - 22. Let x be k(-6). Let z(p) = 3*p - 21. Let c be z(x). Solve 2 = o - 3*t, -c*o = 2*o + t + 22 for o.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify v**17/(v**(2/7)/v) assuming v is positive.\n' | b'v**(124/7)\n' | b'Simplify v**17/(v**(2/7)/v) assuming v is positive.\n' | b'v**(124/7)\n' | deepmind/math_dataset |
b'Suppose 1 + 19 = -5*t - 4*n, 2*n + 10 = -3*t. Solve t = -4*v + 12, -d - v - 1 = 1 for d.\n' | b'-5\n' | b'Suppose 1 + 19 = -5*t - 4*n, 2*n + 10 = -3*t. Solve t = -4*v + 12, -d - v - 1 = 1 for d.\n' | b'-5\n' | deepmind/math_dataset |
b'Let z(c) = c**2 - c - 18. Let w be z(-4). Let l(g) be the first derivative of 1/3*g**3 - w - 3/2*g**2 - g. Calculate l(5).\n' | b'9\n' | b'Let z(c) = c**2 - c - 18. Let w be z(-4). Let l(g) be the first derivative of 1/3*g**3 - w - 3/2*g**2 - g. Calculate l(5).\n' | b'9\n' | deepmind/math_dataset |
b'Suppose 4*w + 3*p = 28, -4 = -4*w + 5*p + 24. Suppose w*t = 2*t. Let g = 58 - 58. Solve t = -5*n + 5*d - 15, 9 = -n - 5*d - g for n.\n' | b'-4\n' | b'Suppose 4*w + 3*p = 28, -4 = -4*w + 5*p + 24. Suppose w*t = 2*t. Let g = 58 - 58. Solve t = -5*n + 5*d - 15, 9 = -n - 5*d - g for n.\n' | b'-4\n' | deepmind/math_dataset |
b'Let s(p) be the first derivative of 0*p**3 + 0*p - 5/4*p**4 + 1/2*p**2 - 1. Suppose 5*o = 2*l + 22, 0*l = -5*l - 2*o + 3. Give s(l).\n' | b'4\n' | b'Let s(p) be the first derivative of 0*p**3 + 0*p - 5/4*p**4 + 1/2*p**2 - 1. Suppose 5*o = 2*l + 22, 0*l = -5*l - 2*o + 3. Give s(l).\n' | b'4\n' | deepmind/math_dataset |
b'Find the first derivative of -25*p - 98*p**2 - 2477 + 792 - 2409 - 816 wrt p.\n' | b'-196*p - 25\n' | b'Find the first derivative of -25*p - 98*p**2 - 2477 + 792 - 2409 - 816 wrt p.\n' | b'-196*p - 25\n' | deepmind/math_dataset |
b'Two letters picked without replacement from iqqqell. Give prob of sequence lq.\n' | b'1/7\n' | b'Two letters picked without replacement from iqqqell. Give prob of sequence lq.\n' | b'1/7\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {e: 1, f: 3, g: 6, n: 2, r: 2, q: 5}. What is prob of sequence frgg?\n' | b'5/2584\n' | b'Four letters picked without replacement from {e: 1, f: 3, g: 6, n: 2, r: 2, q: 5}. What is prob of sequence frgg?\n' | b'5/2584\n' | deepmind/math_dataset |
b'What is prob of sequence bb when two letters picked without replacement from xbwnxjbnbbbxnjjbxjf?\n' | b'5/57\n' | b'What is prob of sequence bb when two letters picked without replacement from xbwnxjbnbbbxnjjbxjf?\n' | b'5/57\n' | deepmind/math_dataset |
b'What is prob of sequence rmmr when four letters picked without replacement from {r: 5, m: 2}?\n' | b'1/21\n' | b'What is prob of sequence rmmr when four letters picked without replacement from {r: 5, m: 2}?\n' | b'1/21\n' | deepmind/math_dataset |
b'What is the third derivative of -375*z**3 - 76*z**2 + 375*z**3 + 5878*z**4 + 1562*z**2 - 356*z**4 wrt z?\n' | b'132528*z\n' | b'What is the third derivative of -375*z**3 - 76*z**2 + 375*z**3 + 5878*z**4 + 1562*z**2 - 356*z**4 wrt z?\n' | b'132528*z\n' | deepmind/math_dataset |
b'What is prob of sequence iax when three letters picked without replacement from iooixioooiaaaof?\n' | b'2/455\n' | b'What is prob of sequence iax when three letters picked without replacement from iooixioooiaaaof?\n' | b'2/455\n' | deepmind/math_dataset |
b'Calculate prob of sequence qqqq when four letters picked without replacement from llqlqlqlllqqlllllql.\n' | b'5/1292\n' | b'Calculate prob of sequence qqqq when four letters picked without replacement from llqlqlqlllqqlllllql.\n' | b'5/1292\n' | deepmind/math_dataset |
b'Simplify ((c**(-2)/c)**(-13)*(c*c/(((c/((c**2/c)/c))/c)/c))**(2/135))**(-12/7) assuming c is positive.\n' | b'c**(-1004/15)\n' | b'Simplify ((c**(-2)/c)**(-13)*(c*c/(((c/((c**2/c)/c))/c)/c))**(2/135))**(-12/7) assuming c is positive.\n' | b'c**(-1004/15)\n' | deepmind/math_dataset |
b'Let r(c) be the second derivative of 419*c**5/20 + 643*c**4/12 + c + 577. What is the third derivative of r(u) wrt u?\n' | b'2514\n' | b'Let r(c) be the second derivative of 419*c**5/20 + 643*c**4/12 + c + 577. What is the third derivative of r(u) wrt u?\n' | b'2514\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 l and 1 w when two letters picked without replacement from {w: 1, l: 4, m: 1, c: 4}.\n' | b'4/45\n' | b'Calculate prob of picking 1 l and 1 w when two letters picked without replacement from {w: 1, l: 4, m: 1, c: 4}.\n' | b'4/45\n' | deepmind/math_dataset |
b'Let q(l) = 2*l**3 - 3*l**2 - 5*l + 4. Suppose 0 = -5*p, 2*j + 5*p + 12 = 6*j. Determine q(j).\n' | b'16\n' | b'Let q(l) = 2*l**3 - 3*l**2 - 5*l + 4. Suppose 0 = -5*p, 2*j + 5*p + 12 = 6*j. Determine q(j).\n' | b'16\n' | deepmind/math_dataset |
b'Suppose -l + 2*l - 13 = 2*z, 2*l = 2*z + 18. Solve 0 = x - l, 2*p = 2*x - 4 + 2 for p.\n' | b'4\n' | b'Suppose -l + 2*l - 13 = 2*z, 2*l = 2*z + 18. Solve 0 = x - l, 2*p = 2*x - 4 + 2 for p.\n' | b'4\n' | deepmind/math_dataset |
b'Let u(z) = -z - 1. Let r be u(-1). Suppose r = 3*n - 5 - 13. Let w(v) = v + 47 + 57 - v**3 - n*v**2 - 100. Calculate w(-6).\n' | b'-2\n' | b'Let u(z) = -z - 1. Let r be u(-1). Suppose r = 3*n - 5 - 13. Let w(v) = v + 47 + 57 - v**3 - n*v**2 - 100. Calculate w(-6).\n' | b'-2\n' | deepmind/math_dataset |
b'Let o(c) = 11*c**2 - 3*c + 18. Let w(a) = 5*a**2 - 2*a + 9. Let x(t) = -6*o(t) + 13*w(t). Give x(-9).\n' | b'0\n' | b'Let o(c) = 11*c**2 - 3*c + 18. Let w(a) = 5*a**2 - 2*a + 9. Let x(t) = -6*o(t) + 13*w(t). Give x(-9).\n' | b'0\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {a: 5, i: 2, h: 4, r: 2}. Give prob of sequence ah.\n' | b'5/39\n' | b'Two letters picked without replacement from {a: 5, i: 2, h: 4, r: 2}. Give prob of sequence ah.\n' | b'5/39\n' | deepmind/math_dataset |
b'Simplify (v/(v*v**(1/3))*v)/v**(3/2)*v/(v**(-6)*v)*(v*v*v/v**7)/v*v assuming v is positive.\n' | b'v**(7/6)\n' | b'Simplify (v/(v*v**(1/3))*v)/v**(3/2)*v/(v**(-6)*v)*(v*v*v/v**7)/v*v assuming v is positive.\n' | b'v**(7/6)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {s: 1, y: 1, g: 1, e: 2}. Give prob of sequence se.\n' | b'1/10\n' | b'Two letters picked without replacement from {s: 1, y: 1, g: 1, e: 2}. Give prob of sequence se.\n' | b'1/10\n' | deepmind/math_dataset |
b'Suppose 2*d - 5*d + 108 = 0. Suppose -33 + d = h. Solve -4*v = -3*s + 14 - 5, h*v = -4*s + 12 for s.\n' | b'3\n' | b'Suppose 2*d - 5*d + 108 = 0. Suppose -33 + d = h. Solve -4*v = -3*s + 14 - 5, h*v = -4*s + 12 for s.\n' | b'3\n' | deepmind/math_dataset |
b'Let b(g) = -3*g + 3. Let v be (1/(4/(-232)))/(-2). Suppose 0 = -6*s + v - 5. Determine b(s).\n' | b'-9\n' | b'Let b(g) = -3*g + 3. Let v be (1/(4/(-232)))/(-2). Suppose 0 = -6*s + v - 5. Determine b(s).\n' | b'-9\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 u, 1 v, and 1 w when three letters picked without replacement from {w: 8, x: 2, u: 2, v: 3}.\n' | b'48/455\n' | b'Calculate prob of picking 1 u, 1 v, and 1 w when three letters picked without replacement from {w: 8, x: 2, u: 2, v: 3}.\n' | b'48/455\n' | deepmind/math_dataset |
b'Let o(x) = -921*x**2 - 767*x - 2. Let t(u) = 11976*u**2 + 9970*u + 27. Let l(c) = 27*o(c) + 2*t(c). What is the second derivative of l(i) wrt i?\n' | b'-1830\n' | b'Let o(x) = -921*x**2 - 767*x - 2. Let t(u) = 11976*u**2 + 9970*u + 27. Let l(c) = 27*o(c) + 2*t(c). What is the second derivative of l(i) wrt i?\n' | b'-1830\n' | deepmind/math_dataset |
b'Simplify (p/(p*p**(2/7)))**(12/7)*p/(p**0/p)*p*p**4*p assuming p is positive.\n' | b'p**(368/49)\n' | b'Simplify (p/(p*p**(2/7)))**(12/7)*p/(p**0/p)*p*p**4*p assuming p is positive.\n' | b'p**(368/49)\n' | deepmind/math_dataset |
b'Simplify ((j**(-1/7))**(2/69))**(6/23) assuming j is positive.\n' | b'j**(-4/3703)\n' | b'Simplify ((j**(-1/7))**(2/69))**(6/23) assuming j is positive.\n' | b'j**(-4/3703)\n' | deepmind/math_dataset |
b'Let m be (50/(-2) + 1)/(-1). Suppose 0 = 9*p + 8 - 44. Suppose 2 = -3*v + 14. Solve 19 = h + 5*q, -h + p*h + v*q = m for h.\n' | b'4\n' | b'Let m be (50/(-2) + 1)/(-1). Suppose 0 = 9*p + 8 - 44. Suppose 2 = -3*v + 14. Solve 19 = h + 5*q, -h + p*h + v*q = m for h.\n' | b'4\n' | deepmind/math_dataset |
b'Let t(n) = 3785*n**2 + 23 - 7*n - 3783*n**2 - 26. Let p be -3 + 0 - (-21)/3. Give t(p).\n' | b'1\n' | b'Let t(n) = 3785*n**2 + 23 - 7*n - 3783*n**2 - 26. Let p be -3 + 0 - (-21)/3. Give t(p).\n' | b'1\n' | deepmind/math_dataset |
b'Let v = -21 + 62. What is the derivative of 170*s**4 + 268 - v*s**4 - 60 wrt s?\n' | b'516*s**3\n' | b'Let v = -21 + 62. What is the derivative of 170*s**4 + 268 - v*s**4 - 60 wrt s?\n' | b'516*s**3\n' | deepmind/math_dataset |
b'Let y = -4 + 7. Let q(c) be the first derivative of c**3/3 - 11*c**2/2 + 12*c + 5. Let g be q(10). Solve o - 4*l = 16, y*l - g*l - 9 = -3*o for o.\n' | b'4\n' | b'Let y = -4 + 7. Let q(c) be the first derivative of c**3/3 - 11*c**2/2 + 12*c + 5. Let g be q(10). Solve o - 4*l = 16, y*l - g*l - 9 = -3*o for o.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify ((t/(t**3*t*t))/(t/(t/t**(-2/13))))**19*((t*(t**(-12)/t)/t)/(((((((t**(-3/2)/t)/t)/t)/t*t)/t)/t)/t))**(-44) assuming t is positive.\n' | b't**(2196/13)\n' | b'Simplify ((t/(t**3*t*t))/(t/(t/t**(-2/13))))**19*((t*(t**(-12)/t)/t)/(((((((t**(-3/2)/t)/t)/t)/t*t)/t)/t)/t))**(-44) assuming t is positive.\n' | b't**(2196/13)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from nnnnnn. Give prob of picking 2 n.\n' | b'1\n' | b'Two letters picked without replacement from nnnnnn. Give prob of picking 2 n.\n' | b'1\n' | deepmind/math_dataset |
b'Let w(l) be the third derivative of l**5/60 - l**4/2 - 2*l**3/3 - 8*l**2. Let k be w(12). Let z(d) = -d**2 - 3*d - 1. What is z(k)?\n' | b'-5\n' | b'Let w(l) be the third derivative of l**5/60 - l**4/2 - 2*l**3/3 - 8*l**2. Let k be w(12). Let z(d) = -d**2 - 3*d - 1. What is z(k)?\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose -4*b = -2*g - 22, 13 = -2*b - 5*g - 6. Suppose -5*t + 8 - b = 0. Let v be -3*(-3 + (t - -1)). Solve 2*u + 2*z + 6 = 0, 6*u + 12 = 2*u + v*z for u.\n' | b'-3\n' | b'Suppose -4*b = -2*g - 22, 13 = -2*b - 5*g - 6. Suppose -5*t + 8 - b = 0. Let v be -3*(-3 + (t - -1)). Solve 2*u + 2*z + 6 = 0, 6*u + 12 = 2*u + v*z for u.\n' | b'-3\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 w and 1 r when two letters picked without replacement from {w: 7, r: 2}.\n' | b'7/18\n' | b'Calculate prob of picking 1 w and 1 r when two letters picked without replacement from {w: 7, r: 2}.\n' | b'7/18\n' | deepmind/math_dataset |
b'Simplify (f**(-2/9)/f**(-3/4))/((f/((f/f**25)/f))/(f**15/f*f)) assuming f is positive.\n' | b'f**(-377/36)\n' | b'Simplify (f**(-2/9)/f**(-3/4))/((f/((f/f**25)/f))/(f**15/f*f)) assuming f is positive.\n' | b'f**(-377/36)\n' | deepmind/math_dataset |
b'Let m = -16877 - -16882. Let d(c) be the second derivative of 8*c**2 + 0*c**4 + 0*c**3 + 0 + 16*c + 23/20*c**m. What is the first derivative of d(y) wrt y?\n' | b'69*y**2\n' | b'Let m = -16877 - -16882. Let d(c) be the second derivative of 8*c**2 + 0*c**4 + 0*c**3 + 0 + 16*c + 23/20*c**m. What is the first derivative of d(y) wrt y?\n' | b'69*y**2\n' | deepmind/math_dataset |
b'Let i(m) be the third derivative of 11*m**7/210 - 7*m**5/30 + 20*m**2. Find the third derivative of i(g) wrt g.\n' | b'264*g\n' | b'Let i(m) be the third derivative of 11*m**7/210 - 7*m**5/30 + 20*m**2. Find the third derivative of i(g) wrt g.\n' | b'264*g\n' | deepmind/math_dataset |
b'Let h(f) = f**3 - 8*f**2 + 8*f - 5. Let v = 17 - 10. Let g be h(v). Find the second derivative of -3 + 2*m - g*m**5 + 3 wrt m.\n' | b'-40*m**3\n' | b'Let h(f) = f**3 - 8*f**2 + 8*f - 5. Let v = 17 - 10. Let g be h(v). Find the second derivative of -3 + 2*m - g*m**5 + 3 wrt m.\n' | b'-40*m**3\n' | deepmind/math_dataset |
b'Simplify ((s**(-1))**(-1/3)*s**(2/11)*s*s*(s*s/((s*s*s**(2/3)*s*s)/s))/s*s)/((s**(-7)*s*s**(-4/7))/(s**(-1))**20) assuming s is positive.\n' | b's**(-2906/231)\n' | b'Simplify ((s**(-1))**(-1/3)*s**(2/11)*s*s*(s*s/((s*s*s**(2/3)*s*s)/s))/s*s)/((s**(-7)*s*s**(-4/7))/(s**(-1))**20) assuming s is positive.\n' | b's**(-2906/231)\n' | deepmind/math_dataset |
b'Let x(y) be the first derivative of 0*y**4 + 20*y - 2/5*y**5 - 5 + 0*y**3 + 0*y**2. Differentiate x(u) with respect to u.\n' | b'-8*u**3\n' | b'Let x(y) be the first derivative of 0*y**4 + 20*y - 2/5*y**5 - 5 + 0*y**3 + 0*y**2. Differentiate x(u) with respect to u.\n' | b'-8*u**3\n' | deepmind/math_dataset |
b'Let d(p) = 9*p**2 - 3 + p + 0 + 3*p - 6. Let o(n) = 5*n**2 + 2*n - 5. Let q(k) = 3*d(k) - 5*o(k). Calculate q(2).\n' | b'10\n' | b'Let d(p) = 9*p**2 - 3 + p + 0 + 3*p - 6. Let o(n) = 5*n**2 + 2*n - 5. Let q(k) = 3*d(k) - 5*o(k). Calculate q(2).\n' | b'10\n' | deepmind/math_dataset |
b'Let y(m) = 26 + 1 - 8*m - 10 + 15. Let b(t) = t - 1. Let g(a) = 3*b(a) + y(a). What is the first derivative of g(c) wrt c?\n' | b'-5\n' | b'Let y(m) = 26 + 1 - 8*m - 10 + 15. Let b(t) = t - 1. Let g(a) = 3*b(a) + y(a). What is the first derivative of g(c) wrt c?\n' | b'-5\n' | deepmind/math_dataset |
b'Let y(t) be the first derivative of -t**4/4 - 2*t**3 + 3*t**2 - t + 6. Calculate y(-7).\n' | b'6\n' | b'Let y(t) be the first derivative of -t**4/4 - 2*t**3 + 3*t**2 - t + 6. Calculate y(-7).\n' | b'6\n' | deepmind/math_dataset |
b'Calculate prob of sequence ffff when four letters picked without replacement from {f: 9, w: 2}.\n' | b'21/55\n' | b'Calculate prob of sequence ffff when four letters picked without replacement from {f: 9, w: 2}.\n' | b'21/55\n' | deepmind/math_dataset |
b'Let r(l) = -4*l + 1. Let f(v) = 5*v - 1. Let m(i) = -2*f(i) - 3*r(i). What is m(-5)?\n' | b'-11\n' | b'Let r(l) = -4*l + 1. Let f(v) = 5*v - 1. Let m(i) = -2*f(i) - 3*r(i). What is m(-5)?\n' | b'-11\n' | deepmind/math_dataset |
b'Suppose -27*f + 18 = -21*f. Let y(p) = 5*p + 27. Let v = -19 + 14. Let b be y(v). Solve -2*u - 7 = -f*o, -u = b*u - o + 7 for u.\n' | b'-2\n' | b'Suppose -27*f + 18 = -21*f. Let y(p) = 5*p + 27. Let v = -19 + 14. Let b be y(v). Solve -2*u - 7 = -f*o, -u = b*u - o + 7 for u.\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify r**4*r**(-21) assuming r is positive.\n' | b'r**(-17)\n' | b'Simplify r**4*r**(-21) assuming r is positive.\n' | b'r**(-17)\n' | deepmind/math_dataset |
b'Let f = -1 - 1. Let k(m) = -m**2 - 2*m. What is k(f)?\n' | b'0\n' | b'Let f = -1 - 1. Let k(m) = -m**2 - 2*m. What is k(f)?\n' | b'0\n' | deepmind/math_dataset |
b'Let g(x) be the second derivative of x**4/12 + x**3 + 3*x**2/2 + x. Suppose -2*i + 4 = -3*i. What is g(i)?\n' | b'-5\n' | b'Let g(x) be the second derivative of x**4/12 + x**3 + 3*x**2/2 + x. Suppose -2*i + 4 = -3*i. What is g(i)?\n' | b'-5\n' | deepmind/math_dataset |
b'Let t(v) be the second derivative of v**8/2240 + v**5/40 + v**4/3 - 4*v. Let s(y) be the third derivative of t(y). Differentiate s(w) with respect to w.\n' | b'9*w**2\n' | b'Let t(v) be the second derivative of v**8/2240 + v**5/40 + v**4/3 - 4*v. Let s(y) be the third derivative of t(y). Differentiate s(w) with respect to w.\n' | b'9*w**2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {z: 2, f: 11, c: 6}. What is prob of sequence cc?\n' | b'5/57\n' | b'Two letters picked without replacement from {z: 2, f: 11, c: 6}. What is prob of sequence cc?\n' | b'5/57\n' | deepmind/math_dataset |
b'Simplify ((y/y**(-7)*y*(y/((y/(y**(-12)*y))/y))/y)/(((y**(-4/5)/y)/y)/(y*y**(-3))))**(3/23) assuming y is positive.\n' | b'y**(-18/115)\n' | b'Simplify ((y/y**(-7)*y*(y/((y/(y**(-12)*y))/y))/y)/(((y**(-4/5)/y)/y)/(y*y**(-3))))**(3/23) assuming y is positive.\n' | b'y**(-18/115)\n' | deepmind/math_dataset |
b'Let o(i) = i**3 - 10*i**2 + 5*i - 8. Let v be (4 - -2 - 4)/(-2). Let z(g) = -g**2 - 1. Let q(a) = v*o(a) + 4*z(a). Suppose -2*s + 15 = s. Give q(s).\n' | b'4\n' | b'Let o(i) = i**3 - 10*i**2 + 5*i - 8. Let v be (4 - -2 - 4)/(-2). Let z(g) = -g**2 - 1. Let q(a) = v*o(a) + 4*z(a). Suppose -2*s + 15 = s. Give q(s).\n' | b'4\n' | deepmind/math_dataset |
b'Calculate prob of sequence ekv when three letters picked without replacement from kkvveevkkeeeveke.\n' | b'1/24\n' | b'Calculate prob of sequence ekv when three letters picked without replacement from kkvveevkkeeeveke.\n' | b'1/24\n' | deepmind/math_dataset |
b'Two letters picked without replacement from eexvevev. What is prob of picking 1 e and 1 v?\n' | b'3/7\n' | b'Two letters picked without replacement from eexvevev. What is prob of picking 1 e and 1 v?\n' | b'3/7\n' | deepmind/math_dataset |
b'Let s(o) = o**3 - 10*o**2 + 9*o - 4. Suppose 3*u + 152 - 254 = 0. Suppose -3 = h - 3*x, -4*x + u = -3*h + 5*h. What is s(h)?\n' | b'-4\n' | b'Let s(o) = o**3 - 10*o**2 + 9*o - 4. Suppose 3*u + 152 - 254 = 0. Suppose -3 = h - 3*x, -4*x + u = -3*h + 5*h. What is s(h)?\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose 14*u = 12*u + 34. Suppose 73 = 2*k - u. What is the second derivative of -3*z - 45 + k + 12*z**4 wrt z?\n' | b'144*z**2\n' | b'Suppose 14*u = 12*u + 34. Suppose 73 = 2*k - u. What is the second derivative of -3*z - 45 + k + 12*z**4 wrt z?\n' | b'144*z**2\n' | deepmind/math_dataset |
b'Let s(j) be the third derivative of -29*j**7/210 + 3*j**3 - 9*j**2. Differentiate s(i) wrt i.\n' | b'-116*i**3\n' | b'Let s(j) be the third derivative of -29*j**7/210 + 3*j**3 - 9*j**2. Differentiate s(i) wrt i.\n' | b'-116*i**3\n' | deepmind/math_dataset |
b'Simplify a**(2/7)*a**4 assuming a is positive.\n' | b'a**(30/7)\n' | b'Simplify a**(2/7)*a**4 assuming a is positive.\n' | b'a**(30/7)\n' | deepmind/math_dataset |
b'Suppose 47*g - 50*g = -93. Solve -6*u + 4*p + g = -u, -3*p = 4*u for u.\n' | b'3\n' | b'Suppose 47*g - 50*g = -93. Solve -6*u + 4*p + g = -u, -3*p = 4*u for u.\n' | b'3\n' | deepmind/math_dataset |
b'Calculate prob of sequence zc when two letters picked without replacement from fcitzfi.\n' | b'1/42\n' | b'Calculate prob of sequence zc when two letters picked without replacement from fcitzfi.\n' | b'1/42\n' | deepmind/math_dataset |
b'Suppose 5*p - 15 = -3*d, -22*d + 18*d = -5*p - 20. Solve 3*x = 2*n - 3*n + 9, -5*x - 5*n + 5 = p for x.\n' | b'4\n' | b'Suppose 5*p - 15 = -3*d, -22*d + 18*d = -5*p - 20. Solve 3*x = 2*n - 3*n + 9, -5*x - 5*n + 5 = p for x.\n' | b'4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {s: 1, u: 2, r: 14, j: 1, a: 2}. What is prob of sequence ar?\n' | b'7/95\n' | b'Two letters picked without replacement from {s: 1, u: 2, r: 14, j: 1, a: 2}. What is prob of sequence ar?\n' | b'7/95\n' | deepmind/math_dataset |
b'Suppose -14 = 11*d - 18*d. Let r be (38 - 30)*d/8. Solve -q - 2*s = -4 - 0, -r*s - 4 = -q for q.\n' | b'4\n' | b'Suppose -14 = 11*d - 18*d. Let r be (38 - 30)*d/8. Solve -q - 2*s = -4 - 0, -r*s - 4 = -q for q.\n' | b'4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {h: 4, l: 3, s: 2}. Give prob of picking 2 s.\n' | b'1/36\n' | b'Two letters picked without replacement from {h: 4, l: 3, s: 2}. Give prob of picking 2 s.\n' | b'1/36\n' | deepmind/math_dataset |
b'Let h be ((6 - 0) + -14 + 0)/(-2). Solve -3*y + h + 2 = 4*l, -y = -5*l - 2 for y.\n' | b'2\n' | b'Let h be ((6 - 0) + -14 + 0)/(-2). Solve -3*y + h + 2 = 4*l, -y = -5*l - 2 for y.\n' | b'2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from gpkgggggggggpppgppk. Give prob of sequence pgp.\n' | b'55/969\n' | b'Three letters picked without replacement from gpkgggggggggpppgppk. Give prob of sequence pgp.\n' | b'55/969\n' | deepmind/math_dataset |
b'Suppose -71*u + 145 - 3 = 0. Solve -28 = -2*n - 4*v, 7*n - 30 = u*n - 2*v for n.\n' | b'4\n' | b'Suppose -71*u + 145 - 3 = 0. Solve -28 = -2*n - 4*v, 7*n - 30 = u*n - 2*v for n.\n' | b'4\n' | deepmind/math_dataset |
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