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'Suppose -t = 3*m - 74 + 181, -2*t + 146 = -4*m. Let h = 39 + m. Solve 0 = 2*v + 3*d - 16, h*v - 28 = -5*d - 2 for v.\n' | b'2\n' | b'Suppose -t = 3*m - 74 + 181, -2*t + 146 = -4*m. Let h = 39 + m. Solve 0 = 2*v + 3*d - 16, h*v - 28 = -5*d - 2 for v.\n' | b'2\n' | deepmind/math_dataset |
b'Let p(m) be the second derivative of -7/20*m**5 + 0*m**4 - 5/6*m**3 + 0 + 0*m**2 - 7*m. Find the second derivative of p(d) wrt d.\n' | b'-42*d\n' | b'Let p(m) be the second derivative of -7/20*m**5 + 0*m**4 - 5/6*m**3 + 0 + 0*m**2 - 7*m. Find the second derivative of p(d) wrt d.\n' | b'-42*d\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {x: 17, n: 3}. Give prob of picking 3 n.\n' | b'1/1140\n' | b'Three letters picked without replacement from {x: 17, n: 3}. Give prob of picking 3 n.\n' | b'1/1140\n' | deepmind/math_dataset |
b'Let z be ((-2)/5)/(1/(-10)). Solve -x - 9 = -2*x - z*h, -1 = -5*x + 2*h for x.\n' | b'1\n' | b'Let z be ((-2)/5)/(1/(-10)). Solve -x - 9 = -2*x - z*h, -1 = -5*x + 2*h for x.\n' | b'1\n' | deepmind/math_dataset |
b'Let r(z) be the second derivative of z**4/12 + 5*z**3/6 + 20*z. Let f be 4/18 + (-304)/72. Calculate r(f).\n' | b'-4\n' | b'Let r(z) be the second derivative of z**4/12 + 5*z**3/6 + 20*z. Let f be 4/18 + (-304)/72. Calculate r(f).\n' | b'-4\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {w: 1, y: 11, h: 3, l: 5}. Give prob of picking 3 l and 1 y.\n' | b'22/969\n' | b'Four letters picked without replacement from {w: 1, y: 11, h: 3, l: 5}. Give prob of picking 3 l and 1 y.\n' | b'22/969\n' | deepmind/math_dataset |
b'Suppose 72*q = 76*q - 100. Let o(s) = -12 - 2*s - 4 + q. Give o(0).\n' | b'9\n' | b'Suppose 72*q = 76*q - 100. Let o(s) = -12 - 2*s - 4 + q. Give o(0).\n' | b'9\n' | deepmind/math_dataset |
b'Let s be 2 + 2 + -2 + 2 - -2. Suppose 0*h + s = 3*h. Solve 0 = -h*i - 2 - 0, 0 = 3*n + i - 14 for n.\n' | b'5\n' | b'Let s be 2 + 2 + -2 + 2 - -2. Suppose 0*h + s = 3*h. Solve 0 = -h*i - 2 - 0, 0 = 3*n + i - 14 for n.\n' | b'5\n' | deepmind/math_dataset |
b'Let u be -54*(-5)/15 + -5. Solve 0 = -3*b - g - 14, -5*b - 5*g = u + 27 for b.\n' | b'-3\n' | b'Let u be -54*(-5)/15 + -5. Solve 0 = -3*b - g - 14, -5*b - 5*g = u + 27 for b.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify ((b**5*b)/b)/b**(2/5)*(b**0)**7*(b**0*b)/b*b**(-3)*b*(b*b*b*b**(-1/6))/b*((b**6/b*b)/b*b)/b assuming b is positive.\n' | b'b**(283/30)\n' | b'Simplify ((b**5*b)/b)/b**(2/5)*(b**0)**7*(b**0*b)/b*b**(-3)*b*(b*b*b*b**(-1/6))/b*((b**6/b*b)/b*b)/b assuming b is positive.\n' | b'b**(283/30)\n' | deepmind/math_dataset |
b'Simplify (c**(-4)/(c/c**(-3)))**(-13/3)/((c/c**(2/9))/(c/c**(-2)*c))**(6/7) assuming c is positive.\n' | b'c**(262/7)\n' | b'Simplify (c**(-4)/(c/c**(-3)))**(-13/3)/((c/c**(2/9))/(c/c**(-2)*c))**(6/7) assuming c is positive.\n' | b'c**(262/7)\n' | deepmind/math_dataset |
b'What is prob of picking 3 w when three letters picked without replacement from ywawdwmwmwwmmayw?\n' | b'1/16\n' | b'What is prob of picking 3 w when three letters picked without replacement from ywawdwmwmwwmmayw?\n' | b'1/16\n' | deepmind/math_dataset |
b'Simplify (a**(-17)*a*a/a**(-17)*(a*a**(-2)*a)/(a*a**(-2/5)))**(2/27) assuming a is positive.\n' | b'a**(14/135)\n' | b'Simplify (a**(-17)*a*a/a**(-17)*(a*a**(-2)*a)/(a*a**(-2/5)))**(2/27) assuming a is positive.\n' | b'a**(14/135)\n' | deepmind/math_dataset |
b'Let p = 7 - -17. Find the second derivative of 4*c - 45 + 45 - p*c**3 wrt c.\n' | b'-144*c\n' | b'Let p = 7 - -17. Find the second derivative of 4*c - 45 + 45 - p*c**3 wrt c.\n' | b'-144*c\n' | deepmind/math_dataset |
b'Let a be ((-228)/5)/(8/(-120)*6). Let c = 117 - a. Solve 3 = c*d + 3*z, -d + 2*z = 6*z + 11 for d.\n' | b'5\n' | b'Let a be ((-228)/5)/(8/(-120)*6). Let c = 117 - a. Solve 3 = c*d + 3*z, -d + 2*z = 6*z + 11 for d.\n' | b'5\n' | deepmind/math_dataset |
b'Suppose l - 8 = d, 4*l - 6*l + 22 = d. Let j(a) = a**3 - 10*a**2 - 2*a + 13. Determine j(l).\n' | b'-7\n' | b'Suppose l - 8 = d, 4*l - 6*l + 22 = d. Let j(a) = a**3 - 10*a**2 - 2*a + 13. Determine j(l).\n' | b'-7\n' | deepmind/math_dataset |
b'Simplify d*d**(-2/17)*(d/(d/d**6))/d*(d/(d*d/((d**(-2)*d)/d)))/d**(-2) assuming d is positive.\n' | b'd**(83/17)\n' | b'Simplify d*d**(-2/17)*(d/(d/d**6))/d*(d/(d*d/((d**(-2)*d)/d)))/d**(-2) assuming d is positive.\n' | b'd**(83/17)\n' | deepmind/math_dataset |
b'Let o be -3 + (0 - -2) + -2. Let f be 2 + (3 - -2) + o. Let h(z) = z**2 - 5*z + 5. What is h(f)?\n' | b'1\n' | b'Let o be -3 + (0 - -2) + -2. Let f be 2 + (3 - -2) + o. Let h(z) = z**2 - 5*z + 5. What is h(f)?\n' | b'1\n' | deepmind/math_dataset |
b'Let u = -107 - -19. Let j = 90 + u. What is the second derivative of -l - 10*l**3 - 2*l + j*l wrt l?\n' | b'-60*l\n' | b'Let u = -107 - -19. Let j = 90 + u. What is the second derivative of -l - 10*l**3 - 2*l + j*l wrt l?\n' | b'-60*l\n' | deepmind/math_dataset |
b'Simplify (u**(3/19))**(-10) assuming u is positive.\n' | b'u**(-30/19)\n' | b'Simplify (u**(3/19))**(-10) assuming u is positive.\n' | b'u**(-30/19)\n' | deepmind/math_dataset |
b'Let v(p) = -3*p**3 + 390*p**2 + 837*p + 4. Let n(f) = 2*f**3 - 393*f**2 - 839*f - 3. Let r(k) = 4*n(k) + 3*v(k). What is the second derivative of r(x) wrt x?\n' | b'-6*x - 804\n' | b'Let v(p) = -3*p**3 + 390*p**2 + 837*p + 4. Let n(f) = 2*f**3 - 393*f**2 - 839*f - 3. Let r(k) = 4*n(k) + 3*v(k). What is the second derivative of r(x) wrt x?\n' | b'-6*x - 804\n' | deepmind/math_dataset |
b'Let t(h) be the first derivative of -8*h**2 + 144*h + 117. Let b be t(9). Solve b = 5*y - 15, -5*y + 15 = -5*w - 0*y for w.\n' | b'0\n' | b'Let t(h) be the first derivative of -8*h**2 + 144*h + 117. Let b be t(9). Solve b = 5*y - 15, -5*y + 15 = -5*w - 0*y for w.\n' | b'0\n' | deepmind/math_dataset |
b'Let w(z) = z**3 - 9*z**2 + 10*z. Let r be w(8). Let l be (-4)/r - 114/(-8). Solve 0 = -5*m + 3*k + l, 4*m - 2*k = -7*k - 11 for m.\n' | b'1\n' | b'Let w(z) = z**3 - 9*z**2 + 10*z. Let r be w(8). Let l be (-4)/r - 114/(-8). Solve 0 = -5*m + 3*k + l, 4*m - 2*k = -7*k - 11 for m.\n' | b'1\n' | deepmind/math_dataset |
b'Suppose -3*p + 8 + 13 = 4*n, 2*n = -3*p + 9. Let d(z) be the second derivative of z**4/12 - 4*z**3/3 + 4*z**2 - 12*z. What is d(n)?\n' | b'-4\n' | b'Suppose -3*p + 8 + 13 = 4*n, 2*n = -3*p + 9. Let d(z) be the second derivative of z**4/12 - 4*z**3/3 + 4*z**2 - 12*z. What is d(n)?\n' | b'-4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {o: 6, b: 2, x: 3, h: 1}. Give prob of picking 2 x.\n' | b'1/22\n' | b'Two letters picked without replacement from {o: 6, b: 2, x: 3, h: 1}. Give prob of picking 2 x.\n' | b'1/22\n' | deepmind/math_dataset |
b'Let r(s) be the first derivative of -4*s**4/3 - 68*s**3/3 + 35*s - 21. Let f(j) be the first derivative of r(j). What is the second derivative of f(b) wrt b?\n' | b'-32\n' | b'Let r(s) be the first derivative of -4*s**4/3 - 68*s**3/3 + 35*s - 21. Let f(j) be the first derivative of r(j). What is the second derivative of f(b) wrt b?\n' | b'-32\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {u: 2, h: 1, i: 4}. What is prob of picking 1 u and 3 i?\n' | b'8/35\n' | b'Four letters picked without replacement from {u: 2, h: 1, i: 4}. What is prob of picking 1 u and 3 i?\n' | b'8/35\n' | deepmind/math_dataset |
b'Suppose -4*t + 0*b - 10 = -3*b, -22 = 3*t + 5*b. Let i(s) = s**3 + s**2 - 49 + 2*s + 3*s**2 + 67 - 21. What is i(t)?\n' | b'-11\n' | b'Suppose -4*t + 0*b - 10 = -3*b, -22 = 3*t + 5*b. Let i(s) = s**3 + s**2 - 49 + 2*s + 3*s**2 + 67 - 21. What is i(t)?\n' | b'-11\n' | deepmind/math_dataset |
b'Simplify ((f*((f**(-1/5)/f*f)/f)/f)/f**(-6)*f**(2/13)/(f*f**(-5/7)/f))**(-27) assuming f is positive.\n' | b'f**(-69633/455)\n' | b'Simplify ((f*((f**(-1/5)/f*f)/f)/f)/f**(-6)*f**(2/13)/(f*f**(-5/7)/f))**(-27) assuming f is positive.\n' | b'f**(-69633/455)\n' | deepmind/math_dataset |
b'Calculate prob of sequence vv when two letters picked without replacement from {s: 3, b: 9, v: 3, u: 1, p: 2}.\n' | b'1/51\n' | b'Calculate prob of sequence vv when two letters picked without replacement from {s: 3, b: 9, v: 3, u: 1, p: 2}.\n' | b'1/51\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {p: 5}. Give prob of picking 4 p.\n' | b'1\n' | b'Four letters picked without replacement from {p: 5}. Give prob of picking 4 p.\n' | b'1\n' | deepmind/math_dataset |
b'Let o(u) be the third derivative of 6*u**3 + 0 - 17/8*u**4 + 6*u + 2*u**2. Differentiate o(l) with respect to l.\n' | b'-51\n' | b'Let o(u) be the third derivative of 6*u**3 + 0 - 17/8*u**4 + 6*u + 2*u**2. Differentiate o(l) with respect to l.\n' | b'-51\n' | deepmind/math_dataset |
b'Find the second derivative of 14*n + 38*n**2 - 25*n + 1 - 29*n - 19*n wrt n.\n' | b'76\n' | b'Find the second derivative of 14*n + 38*n**2 - 25*n + 1 - 29*n - 19*n wrt n.\n' | b'76\n' | deepmind/math_dataset |
b'Simplify (d**1)**48/(d**1*d*d)**(-2/11) assuming d is positive.\n' | b'd**(534/11)\n' | b'Simplify (d**1)**48/(d**1*d*d)**(-2/11) assuming d is positive.\n' | b'd**(534/11)\n' | deepmind/math_dataset |
b'Simplify (g*g*g/(g/g**(-1/5))*g*g*g**(1/6)*g*g**(-3)/g*g**(1/7))**(10/7) assuming g is positive.\n' | b'g**(233/147)\n' | b'Simplify (g*g*g/(g/g**(-1/5))*g*g*g**(1/6)*g*g**(-3)/g*g**(1/7))**(10/7) assuming g is positive.\n' | b'g**(233/147)\n' | deepmind/math_dataset |
b'Simplify (k**(-1))**(-2/63)*k**(-4)/(k**7*k) assuming k is positive.\n' | b'k**(-754/63)\n' | b'Simplify (k**(-1))**(-2/63)*k**(-4)/(k**7*k) assuming k is positive.\n' | b'k**(-754/63)\n' | deepmind/math_dataset |
b'Let z be 7/(294/24)*(-14)/(-1). Let o = 19 + -3. Suppose -3*w + o = -z. Solve -3*c = -3*a - 38 + 14, -2*a - w = 0 for c.\n' | b'4\n' | b'Let z be 7/(294/24)*(-14)/(-1). Let o = 19 + -3. Suppose -3*w + o = -z. Solve -3*c = -3*a - 38 + 14, -2*a - w = 0 for c.\n' | b'4\n' | deepmind/math_dataset |
b'What is prob of picking 2 j when two letters picked without replacement from jyjcc?\n' | b'1/10\n' | b'What is prob of picking 2 j when two letters picked without replacement from jyjcc?\n' | b'1/10\n' | deepmind/math_dataset |
b'What is the derivative of 137 + 145 - 10*u**2 - 301 + 11*u**3 wrt u?\n' | b'33*u**2 - 20*u\n' | b'What is the derivative of 137 + 145 - 10*u**2 - 301 + 11*u**3 wrt u?\n' | b'33*u**2 - 20*u\n' | deepmind/math_dataset |
b'Three letters picked without replacement from rrmlmmmnrrrm. Give prob of sequence mln.\n' | b'1/264\n' | b'Three letters picked without replacement from rrmlmmmnrrrm. Give prob of sequence mln.\n' | b'1/264\n' | deepmind/math_dataset |
b'Let x be 5/((80/(-6))/(-8)). What is the derivative of 14*m**x + 74 + 12*m**3 - 20*m**4 - 26*m**3 wrt m?\n' | b'-80*m**3\n' | b'Let x be 5/((80/(-6))/(-8)). What is the derivative of 14*m**x + 74 + 12*m**3 - 20*m**4 - 26*m**3 wrt m?\n' | b'-80*m**3\n' | deepmind/math_dataset |
b'Simplify (t**10*t**5)**(-1/30) assuming t is positive.\n' | b'1/sqrt(t)\n' | b'Simplify (t**10*t**5)**(-1/30) assuming t is positive.\n' | b'1/sqrt(t)\n' | deepmind/math_dataset |
b'Suppose -4*z + 21 = 5*g, 5*g - 12 = 3*g + 2*z. Solve -g*q - 10 = w, -2*q = 3*w - 4*w - 3 for q.\n' | b'-1\n' | b'Suppose -4*z + 21 = 5*g, 5*g - 12 = 3*g + 2*z. Solve -g*q - 10 = w, -2*q = 3*w - 4*w - 3 for q.\n' | b'-1\n' | deepmind/math_dataset |
b'Find the third derivative of p**3 - p**5 - 3*p - p**5 + p**2 - 3*p**2 - 5*p wrt p.\n' | b'-120*p**2 + 6\n' | b'Find the third derivative of p**3 - p**5 - 3*p - p**5 + p**2 - 3*p**2 - 5*p wrt p.\n' | b'-120*p**2 + 6\n' | deepmind/math_dataset |
b'Simplify ((z**15*z**4)**38)**37 assuming z is positive.\n' | b'z**26714\n' | b'Simplify ((z**15*z**4)**38)**37 assuming z is positive.\n' | b'z**26714\n' | deepmind/math_dataset |
b'Suppose o = 6 - 1. Suppose -2*b + 26 = -3*d, b - 2*d - 23 = -8. Suppose -4*x + 8*x = 20. Solve 0*p - b = -x*i - p, 4*p = 3*i + o for i.\n' | b'1\n' | b'Suppose o = 6 - 1. Suppose -2*b + 26 = -3*d, b - 2*d - 23 = -8. Suppose -4*x + 8*x = 20. Solve 0*p - b = -x*i - p, 4*p = 3*i + o for i.\n' | b'1\n' | deepmind/math_dataset |
b'Let t be 2/(2/(-2)) + 485/97. Find the second derivative of 9*b**3 - 5*b**t + 9*b + 3*b**3 + 2*b**2 + 19*b wrt b.\n' | b'42*b + 4\n' | b'Let t be 2/(2/(-2)) + 485/97. Find the second derivative of 9*b**3 - 5*b**t + 9*b + 3*b**3 + 2*b**2 + 19*b wrt b.\n' | b'42*b + 4\n' | deepmind/math_dataset |
b'What is prob of sequence uwd when three letters picked without replacement from dowupwpv?\n' | b'1/168\n' | b'What is prob of sequence uwd when three letters picked without replacement from dowupwpv?\n' | b'1/168\n' | deepmind/math_dataset |
b'Simplify g**(12/7)*g/g**(1/13) assuming g is positive.\n' | b'g**(240/91)\n' | b'Simplify g**(12/7)*g/g**(1/13) assuming g is positive.\n' | b'g**(240/91)\n' | deepmind/math_dataset |
b'Let c be 1 + 4 + -2 + 1. Solve c*y = 2*x - x + 5, 5*x + 2*y + 3 = 0 for x.\n' | b'-1\n' | b'Let c be 1 + 4 + -2 + 1. Solve c*y = 2*x - x + 5, 5*x + 2*y + 3 = 0 for x.\n' | b'-1\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 n and 1 x when three letters picked without replacement from {q: 1, x: 4, n: 2}.\n' | b'4/35\n' | b'Calculate prob of picking 2 n and 1 x when three letters picked without replacement from {q: 1, x: 4, n: 2}.\n' | b'4/35\n' | deepmind/math_dataset |
b'What is prob of picking 2 b when two letters picked without replacement from {r: 8, f: 3, b: 7}?\n' | b'7/51\n' | b'What is prob of picking 2 b when two letters picked without replacement from {r: 8, f: 3, b: 7}?\n' | b'7/51\n' | deepmind/math_dataset |
b'Let o(i) = -17*i - 2. Let h be o(-1). Suppose 0*g + h = -3*g. Let l(n) = 7 + 10*n**2 + 2*n - 1 + 3*n - 9*n**2 + 1. Give l(g).\n' | b'7\n' | b'Let o(i) = -17*i - 2. Let h be o(-1). Suppose 0*g + h = -3*g. Let l(n) = 7 + 10*n**2 + 2*n - 1 + 3*n - 9*n**2 + 1. Give l(g).\n' | b'7\n' | deepmind/math_dataset |
b'Let c(w) = -3*w**2 - 13*w - 35. Let s(y) = -y**2 - 6*y - 17. Let i(t) = -2*c(t) + 5*s(t). Let u be i(8). Solve 5*r + u = -2*l, -6*l + r + 17 = -3*l for l.\n' | b'4\n' | b'Let c(w) = -3*w**2 - 13*w - 35. Let s(y) = -y**2 - 6*y - 17. Let i(t) = -2*c(t) + 5*s(t). Let u be i(8). Solve 5*r + u = -2*l, -6*l + r + 17 = -3*l for l.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify (((s**(-2/7))**(-20/9)/(s**0)**(-45))**(-48))**(-2/65) assuming s is positive.\n' | b's**(256/273)\n' | b'Simplify (((s**(-2/7))**(-20/9)/(s**0)**(-45))**(-48))**(-2/65) assuming s is positive.\n' | b's**(256/273)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from qdqowodlqwkdwo. What is prob of picking 1 l and 3 q?\n' | b'1/1001\n' | b'Four letters picked without replacement from qdqowodlqwkdwo. What is prob of picking 1 l and 3 q?\n' | b'1/1001\n' | deepmind/math_dataset |
b'Let x(t) = 3*t + 3. Let l be x(0). Solve f + 3*r = 13, -4*f - 18 = -l*r + r for f.\n' | b'-2\n' | b'Let x(t) = 3*t + 3. Let l be x(0). Solve f + 3*r = 13, -4*f - 18 = -l*r + r for f.\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify ((s*s*s*s/(s*s**28)*s/((s/s**(-1/4))/s))**(10/7))**13 assuming s is positive.\n' | b's**(-6305/14)\n' | b'Simplify ((s*s*s*s/(s*s**28)*s/((s/s**(-1/4))/s))**(10/7))**13 assuming s is positive.\n' | b's**(-6305/14)\n' | deepmind/math_dataset |
b'Suppose -470 = -3*r - 461. Suppose a - 4 = 4*s, 3*a - 15 = 5*s - r. Solve -4*p + u = -9*p - 15, s = -3*p + 3*u - 9 for p.\n' | b'-3\n' | b'Suppose -470 = -3*r - 461. Suppose a - 4 = 4*s, 3*a - 15 = 5*s - r. Solve -4*p + u = -9*p - 15, s = -3*p + 3*u - 9 for p.\n' | b'-3\n' | deepmind/math_dataset |
b'Suppose -14 = -17*w + 88. Let c(q) = -25*q**3 + 7 + 21*q**3 + w*q**2 + 3*q**3 - 3*q. Let x = -32 + 38. Calculate c(x).\n' | b'-11\n' | b'Suppose -14 = -17*w + 88. Let c(q) = -25*q**3 + 7 + 21*q**3 + w*q**2 + 3*q**3 - 3*q. Let x = -32 + 38. Calculate c(x).\n' | b'-11\n' | deepmind/math_dataset |
b'What is prob of sequence gwgw when four letters picked without replacement from {g: 5, k: 3, m: 6, y: 2, w: 2}?\n' | b'1/1836\n' | b'What is prob of sequence gwgw when four letters picked without replacement from {g: 5, k: 3, m: 6, y: 2, w: 2}?\n' | b'1/1836\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {l: 2, k: 7, x: 6, r: 2, q: 1}. Give prob of picking 1 x and 2 r.\n' | b'1/136\n' | b'Three letters picked without replacement from {l: 2, k: 7, x: 6, r: 2, q: 1}. Give prob of picking 1 x and 2 r.\n' | b'1/136\n' | deepmind/math_dataset |
b'Simplify (t**(-35)/((t*t*t*t**(1/5))/t))**(-1/20) assuming t is positive.\n' | b't**(93/50)\n' | b'Simplify (t**(-35)/((t*t*t*t**(1/5))/t))**(-1/20) assuming t is positive.\n' | b't**(93/50)\n' | deepmind/math_dataset |
b'Simplify (a**(-17))**(8/17) assuming a is positive.\n' | b'a**(-8)\n' | b'Simplify (a**(-17))**(8/17) assuming a is positive.\n' | b'a**(-8)\n' | deepmind/math_dataset |
b'Let m(s) = -s - 11. Let h be m(-5). Let u(d) = -14*d + 47. Let t(v) = 5*v - 16. Let x(o) = -17*t(o) - 6*u(o). What is x(h)?\n' | b'-4\n' | b'Let m(s) = -s - 11. Let h be m(-5). Let u(d) = -14*d + 47. Let t(v) = 5*v - 16. Let x(o) = -17*t(o) - 6*u(o). What is x(h)?\n' | b'-4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {b: 6}. Give prob of sequence bb.\n' | b'1\n' | b'Two letters picked without replacement from {b: 6}. Give prob of sequence bb.\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of sequence bdd when three letters picked without replacement from {b: 1, d: 7}.\n' | b'1/8\n' | b'Calculate prob of sequence bdd when three letters picked without replacement from {b: 1, d: 7}.\n' | b'1/8\n' | deepmind/math_dataset |
b'Suppose 11 = x - 2*b - 3, 0 = -2*x + 2*b + 18. Let v be (-12)/(-7) - 44/(-154). Solve -12 + x = v*a, 2*s + 8 = -3*a for s.\n' | b'2\n' | b'Suppose 11 = x - 2*b - 3, 0 = -2*x + 2*b + 18. Let v be (-12)/(-7) - 44/(-154). Solve -12 + x = v*a, 2*s + 8 = -3*a for s.\n' | b'2\n' | deepmind/math_dataset |
b'What is the second derivative of -844*o + 19*o**5 + 764*o + 64*o**5 wrt o?\n' | b'1660*o**3\n' | b'What is the second derivative of -844*o + 19*o**5 + 764*o + 64*o**5 wrt o?\n' | b'1660*o**3\n' | deepmind/math_dataset |
b'Let g(j) = j - 6. Let b be g(16). Let r(y) = -y**3 + 10*y**2 + 4*y - 9. Let u be r(b). Let w = u + -30. Let d(t) = 13*t**3 - 2*t**2 + 1. Give d(w).\n' | b'12\n' | b'Let g(j) = j - 6. Let b be g(16). Let r(y) = -y**3 + 10*y**2 + 4*y - 9. Let u be r(b). Let w = u + -30. Let d(t) = 13*t**3 - 2*t**2 + 1. Give d(w).\n' | b'12\n' | deepmind/math_dataset |
b'Let f(p) = 60*p + 8. Let i(k) = -21*k - 3. Let s(a) = -6*f(a) - 17*i(a). Suppose -3*y - d - 2 = -13, -4 = -2*d. Let z = y - 0. Give s(z).\n' | b'-6\n' | b'Let f(p) = 60*p + 8. Let i(k) = -21*k - 3. Let s(a) = -6*f(a) - 17*i(a). Suppose -3*y - d - 2 = -13, -4 = -2*d. Let z = y - 0. Give s(z).\n' | b'-6\n' | deepmind/math_dataset |
b'Simplify ((u**(-4/3))**19)**31/(((u/(u**(-5)/u))/u**(-8))/(u**(4/7)/u**(-6))) assuming u is positive.\n' | b'u**(-16669/21)\n' | b'Simplify ((u**(-4/3))**19)**31/(((u/(u**(-5)/u))/u**(-8))/(u**(4/7)/u**(-6))) assuming u is positive.\n' | b'u**(-16669/21)\n' | deepmind/math_dataset |
b'Let n be 2430/1134 - 2/14. Solve n*q = -y - 5, -2*y - 2*y - 20 = q for q.\n' | b'0\n' | b'Let n be 2430/1134 - 2/14. Solve n*q = -y - 5, -2*y - 2*y - 20 = q for q.\n' | b'0\n' | deepmind/math_dataset |
b'Calculate prob of sequence viv when three letters picked without replacement from cixwqxv.\n' | b'0\n' | b'Calculate prob of sequence viv when three letters picked without replacement from cixwqxv.\n' | b'0\n' | deepmind/math_dataset |
b'Let p(t) be the first derivative of -698*t**5/5 - t**3/3 - 2*t**2 + 8252*t + 633. Find the first derivative of p(m) wrt m.\n' | b'-2792*m**3 - 2*m - 4\n' | b'Let p(t) be the first derivative of -698*t**5/5 - t**3/3 - 2*t**2 + 8252*t + 633. Find the first derivative of p(m) wrt m.\n' | b'-2792*m**3 - 2*m - 4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from gkrikqiiqqkrimqiqr. Give prob of picking 1 r and 2 q.\n' | b'5/136\n' | b'Three letters picked without replacement from gkrikqiiqqkrimqiqr. Give prob of picking 1 r and 2 q.\n' | b'5/136\n' | deepmind/math_dataset |
b'Calculate prob of sequence tt when two letters picked without replacement from tiitiiiitii.\n' | b'3/55\n' | b'Calculate prob of sequence tt when two letters picked without replacement from tiitiiiitii.\n' | b'3/55\n' | deepmind/math_dataset |
b'Let y(x) = -x**2 + 3*x - 2. Let o(v) = -2*v**2 + 3*v + 2. Let u be o(3). Let l be 0/1*(u + 8). Suppose -2*p + q + 5 = -10, l = -p - q. What is y(p)?\n' | b'-12\n' | b'Let y(x) = -x**2 + 3*x - 2. Let o(v) = -2*v**2 + 3*v + 2. Let u be o(3). Let l be 0/1*(u + 8). Suppose -2*p + q + 5 = -10, l = -p - q. What is y(p)?\n' | b'-12\n' | deepmind/math_dataset |
b'Suppose -8*v = -3*v. Let t(q) be the first derivative of -q**2/2 + 11*q + 2. Let m be t(8). Solve -2*w + 1 = -3*k, v = -k + m*w - 6 + 1 for k.\n' | b'1\n' | b'Suppose -8*v = -3*v. Let t(q) be the first derivative of -q**2/2 + 11*q + 2. Let m be t(8). Solve -2*w + 1 = -3*k, v = -k + m*w - 6 + 1 for k.\n' | b'1\n' | deepmind/math_dataset |
b'Suppose 4*y - 2*y - 4 = 0. Suppose 3*r - 5*l + 17 + y = 0, 4*l = -2*r + 24. Let c = r - -19. Solve 3*s - c = 3*w - 0*w, -5*w = -s + 15 for w.\n' | b'-2\n' | b'Suppose 4*y - 2*y - 4 = 0. Suppose 3*r - 5*l + 17 + y = 0, 4*l = -2*r + 24. Let c = r - -19. Solve 3*s - c = 3*w - 0*w, -5*w = -s + 15 for w.\n' | b'-2\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 w and 2 z when four letters picked without replacement from hjwwhjjwhwhzhjwhhzz.\n' | b'5/646\n' | b'Calculate prob of picking 2 w and 2 z when four letters picked without replacement from hjwwhjjwhwhzhjwhhzz.\n' | b'5/646\n' | deepmind/math_dataset |
b'Three letters picked without replacement from bbnlnnllrllbhlr. Give prob of sequence bln.\n' | b'9/455\n' | b'Three letters picked without replacement from bbnlnnllrllbhlr. Give prob of sequence bln.\n' | b'9/455\n' | deepmind/math_dataset |
b'Four letters picked without replacement from utvvvvstttv. What is prob of picking 1 s and 3 v?\n' | b'1/33\n' | b'Four letters picked without replacement from utvvvvstttv. What is prob of picking 1 s and 3 v?\n' | b'1/33\n' | deepmind/math_dataset |
b'Let s(x) = -x**2 - x. Let a(i) = -i**2 + 5*i - 10. Let b(m) = -a(m) + 2*s(m). Let f be b(-8). Solve -10 - 25 = -3*v + 5*h, 0 = 2*v - f*h - 18 for v.\n' | b'5\n' | b'Let s(x) = -x**2 - x. Let a(i) = -i**2 + 5*i - 10. Let b(m) = -a(m) + 2*s(m). Let f be b(-8). Solve -10 - 25 = -3*v + 5*h, 0 = 2*v - f*h - 18 for v.\n' | b'5\n' | deepmind/math_dataset |
b'Simplify ((f**(-2/11)/(f/(f/f**(-1)))*f**(-3)*f**(4/11)*f)**(3/4))**(-1/67) assuming f is positive.\n' | b'f**(27/2948)\n' | b'Simplify ((f**(-2/11)/(f/(f/f**(-1)))*f**(-3)*f**(4/11)*f)**(3/4))**(-1/67) assuming f is positive.\n' | b'f**(27/2948)\n' | deepmind/math_dataset |
b'What is prob of sequence gf when two letters picked without replacement from fjfbbfufgjjjyu?\n' | b'2/91\n' | b'What is prob of sequence gf when two letters picked without replacement from fjfbbfufgjjjyu?\n' | b'2/91\n' | deepmind/math_dataset |
b'Simplify (b/b**(-27/4))/((((b/(b*b*b**(-2/9)))/b)/b)/b*b)*((b**21*b)/b)**(-25/3) assuming b is positive.\n' | b'b**(-5921/36)\n' | b'Simplify (b/b**(-27/4))/((((b/(b*b*b**(-2/9)))/b)/b)/b*b)*((b**21*b)/b)**(-25/3) assuming b is positive.\n' | b'b**(-5921/36)\n' | deepmind/math_dataset |
b'Suppose 4*c - 19 = -q, 5*c - q = q + 27. Suppose 3*d - 5*v = 24 + 5, 0 = 2*d - c*v - 26. Solve 3*r = -2*w + 17, 5*w = -2*r + d*r for w.\n' | b'1\n' | b'Suppose 4*c - 19 = -q, 5*c - q = q + 27. Suppose 3*d - 5*v = 24 + 5, 0 = 2*d - c*v - 26. Solve 3*r = -2*w + 17, 5*w = -2*r + d*r for w.\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of sequence oooq when four letters picked without replacement from xomomooqqmoomo.\n' | b'5/286\n' | b'Calculate prob of sequence oooq when four letters picked without replacement from xomomooqqmoomo.\n' | b'5/286\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {h: 1, m: 1, k: 2, t: 1, l: 1, u: 1}. Give prob of sequence kum.\n' | b'1/105\n' | b'Three letters picked without replacement from {h: 1, m: 1, k: 2, t: 1, l: 1, u: 1}. Give prob of sequence kum.\n' | b'1/105\n' | deepmind/math_dataset |
b'Let m be (-83)/(-27) - 34/459. Solve -3*x + m = -5*g, -3*x - 2*g - 14 = 4 for x.\n' | b'-4\n' | b'Let m be (-83)/(-27) - 34/459. Solve -3*x + m = -5*g, -3*x - 2*g - 14 = 4 for x.\n' | b'-4\n' | deepmind/math_dataset |
b'Let p be -78 - 12/(-1 - -5). Let f = p - -91. Let u(d) = -d + 11. Determine u(f).\n' | b'1\n' | b'Let p be -78 - 12/(-1 - -5). Let f = p - -91. Let u(d) = -d + 11. Determine u(f).\n' | b'1\n' | deepmind/math_dataset |
b'What is the third derivative of -687*x**2 + 64*x**4 + 61*x**2 + 2*x**6 - x**6 + 8*x**6 - 645*x**2 wrt x?\n' | b'1080*x**3 + 1536*x\n' | b'What is the third derivative of -687*x**2 + 64*x**4 + 61*x**2 + 2*x**6 - x**6 + 8*x**6 - 645*x**2 wrt x?\n' | b'1080*x**3 + 1536*x\n' | deepmind/math_dataset |
b'What is the second derivative of -2356*p**2 + 3*p**3 - p**3 - 894*p + 3195*p**2 wrt p?\n' | b'12*p + 1678\n' | b'What is the second derivative of -2356*p**2 + 3*p**3 - p**3 - 894*p + 3195*p**2 wrt p?\n' | b'12*p + 1678\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {z: 6, u: 4, w: 5}. Give prob of sequence zwwz.\n' | b'5/273\n' | b'Four letters picked without replacement from {z: 6, u: 4, w: 5}. Give prob of sequence zwwz.\n' | b'5/273\n' | deepmind/math_dataset |
b'Calculate prob of sequence kkxw when four letters picked without replacement from {k: 3, w: 5, x: 4}.\n' | b'1/99\n' | b'Calculate prob of sequence kkxw when four letters picked without replacement from {k: 3, w: 5, x: 4}.\n' | b'1/99\n' | deepmind/math_dataset |
b'Let r(q) be the third derivative of q**4/12 - 5*q**3/6 + 65*q**2. Determine r(5).\n' | b'5\n' | b'Let r(q) be the third derivative of q**4/12 - 5*q**3/6 + 65*q**2. Determine r(5).\n' | b'5\n' | deepmind/math_dataset |
b'What is the third derivative of -2*q**4 - 3*q**2 + 10*q**4 + 10 - 10 wrt q?\n' | b'192*q\n' | b'What is the third derivative of -2*q**4 - 3*q**2 + 10*q**4 + 10 - 10 wrt q?\n' | b'192*q\n' | deepmind/math_dataset |
b'What is the third derivative of 33*b**2 - 98 + 60 - 2*b**5 + 43 - 80*b**2 + 90*b**4 wrt b?\n' | b'-120*b**2 + 2160*b\n' | b'What is the third derivative of 33*b**2 - 98 + 60 - 2*b**5 + 43 - 80*b**2 + 90*b**4 wrt b?\n' | b'-120*b**2 + 2160*b\n' | deepmind/math_dataset |
b'Four letters picked without replacement from lgmlq. Give prob of picking 1 g, 2 l, and 1 q.\n' | b'1/5\n' | b'Four letters picked without replacement from lgmlq. Give prob of picking 1 g, 2 l, and 1 q.\n' | b'1/5\n' | deepmind/math_dataset |
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