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 y(z) = z**3 - 39*z**2 + 40*z - 74. Let m be y(38). Solve 0 = -w - 2*d + m, d - 15 = -3*w + 4*d for w.\n' | b'4\n' | b'Let y(z) = z**3 - 39*z**2 + 40*z - 74. Let m be y(38). Solve 0 = -w - 2*d + m, d - 15 = -3*w + 4*d for w.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify ((x*x**(-30))/(x**(-2/39)*x*x))/(x**(10/7)*x*x/(x/(x**(4/21)*x))*x) assuming x is positive.\n' | b'x**(-9710/273)\n' | b'Simplify ((x*x**(-30))/(x**(-2/39)*x*x))/(x**(10/7)*x*x/(x/(x**(4/21)*x))*x) assuming x is positive.\n' | b'x**(-9710/273)\n' | deepmind/math_dataset |
b'Let t(r) = 3*r - 11 - 9*r**2 - 6*r - r**3 - 7*r. Let n = -28 + 26. Let w be (-5)/10 - (-15)/n. Give t(w).\n' | b'5\n' | b'Let t(r) = 3*r - 11 - 9*r**2 - 6*r - r**3 - 7*r. Let n = -28 + 26. Let w be (-5)/10 - (-15)/n. Give t(w).\n' | b'5\n' | deepmind/math_dataset |
b'Let i be 1 + (-13)/(1 - 0). Let b be (2 - 1) + (3 - i). Suppose 6 = 2*h + q, 0 = -0*q - q. Solve y = -4*d + 2*y + b, -h*y = 4*d - 16 for d.\n' | b'4\n' | b'Let i be 1 + (-13)/(1 - 0). Let b be (2 - 1) + (3 - i). Suppose 6 = 2*h + q, 0 = -0*q - q. Solve y = -4*d + 2*y + b, -h*y = 4*d - 16 for d.\n' | b'4\n' | deepmind/math_dataset |
b'Let j(t) be the second derivative of 0*t**5 - t**3 + 2*t - 1/10*t**6 - 67 - 11/2*t**2 + 0*t**4. Find the second derivative of j(i) wrt i.\n' | b'-36*i**2\n' | b'Let j(t) be the second derivative of 0*t**5 - t**3 + 2*t - 1/10*t**6 - 67 - 11/2*t**2 + 0*t**4. Find the second derivative of j(i) wrt i.\n' | b'-36*i**2\n' | deepmind/math_dataset |
b'Let h(u) = 13*u**3 + 2*u**2 + 66. Let b(d) = 65*d**3 + 9*d**2 + 332. Let t(f) = 2*b(f) - 11*h(f). What is the first derivative of t(p) wrt p?\n' | b'-39*p**2 - 8*p\n' | b'Let h(u) = 13*u**3 + 2*u**2 + 66. Let b(d) = 65*d**3 + 9*d**2 + 332. Let t(f) = 2*b(f) - 11*h(f). What is the first derivative of t(p) wrt p?\n' | b'-39*p**2 - 8*p\n' | deepmind/math_dataset |
b'Let u = 673 + -671. Let v(r) = 193 + 188 - r**3 - 575 + 3*r**u + 192. Determine v(4).\n' | b'-18\n' | b'Let u = 673 + -671. Let v(r) = 193 + 188 - r**3 - 575 + 3*r**u + 192. Determine v(4).\n' | b'-18\n' | deepmind/math_dataset |
b'Let t = 28 - 26. Let k = -7 - -10. Solve -k*o = -9, 4*h = t*o + 2 - 0 for h.\n' | b'2\n' | b'Let t = 28 - 26. Let k = -7 - -10. Solve -k*o = -9, 4*h = t*o + 2 - 0 for h.\n' | b'2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from sstttstsgttsgt. Give prob of sequence tgs.\n' | b'5/156\n' | b'Three letters picked without replacement from sstttstsgttsgt. Give prob of sequence tgs.\n' | b'5/156\n' | deepmind/math_dataset |
b'What is prob of picking 1 x and 1 b when two letters picked without replacement from {x: 2, g: 3, b: 1, m: 1}?\n' | b'2/21\n' | b'What is prob of picking 1 x and 1 b when two letters picked without replacement from {x: 2, g: 3, b: 1, m: 1}?\n' | b'2/21\n' | deepmind/math_dataset |
b'Let u(b) be the first derivative of -5*b**2/2 - 30*b + 251. Let r be u(-7). Solve -r*y + 37 = 4*s, 2 = 3*s - y - 2 for s.\n' | b'3\n' | b'Let u(b) be the first derivative of -5*b**2/2 - 30*b + 251. Let r be u(-7). Solve -r*y + 37 = 4*s, 2 = 3*s - y - 2 for s.\n' | b'3\n' | deepmind/math_dataset |
b'Let v(w) be the second derivative of 3*w**5/20 - w**4/6 + w**3/6 - 4*w. What is v(1)?\n' | b'2\n' | b'Let v(w) be the second derivative of 3*w**5/20 - w**4/6 + w**3/6 - 4*w. What is v(1)?\n' | b'2\n' | deepmind/math_dataset |
b'Suppose d = -5*u + u - 43, 0 = 2*d - 2. Let n = u + 11. What is the derivative of 0*a**2 + 10 - 6*a**3 + n*a**2 + 6 wrt a?\n' | b'-18*a**2\n' | b'Suppose d = -5*u + u - 43, 0 = 2*d - 2. Let n = u + 11. What is the derivative of 0*a**2 + 10 - 6*a**3 + n*a**2 + 6 wrt a?\n' | b'-18*a**2\n' | deepmind/math_dataset |
b'Let y = -6 - -8. Suppose y*k - 13 = -5. Solve 4*h - 12 = -2*t - 0*h, 0 = 4*t + k*h - 8 for t.\n' | b'-2\n' | b'Let y = -6 - -8. Suppose y*k - 13 = -5. Solve 4*h - 12 = -2*t - 0*h, 0 = 4*t + k*h - 8 for t.\n' | b'-2\n' | deepmind/math_dataset |
b'Let a(y) = -y + 22. Suppose 2*m - 3*x = 7*m + 23, 16 = 4*x. Determine a(m).\n' | b'29\n' | b'Let a(y) = -y + 22. Suppose 2*m - 3*x = 7*m + 23, 16 = 4*x. Determine a(m).\n' | b'29\n' | deepmind/math_dataset |
b'Let j(p) = 14*p**3 - 9*p**2. Let i(r) = -7*r**3 + 5*r**2. Let q(t) = -7*i(t) - 4*j(t). What is the third derivative of q(c) wrt c?\n' | b'-42\n' | b'Let j(p) = 14*p**3 - 9*p**2. Let i(r) = -7*r**3 + 5*r**2. Let q(t) = -7*i(t) - 4*j(t). What is the third derivative of q(c) wrt c?\n' | b'-42\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 c and 2 u when four letters picked without replacement from jcujjcucjjjjjjj.\n' | b'1/455\n' | b'Calculate prob of picking 2 c and 2 u when four letters picked without replacement from jcujjcucjjjjjjj.\n' | b'1/455\n' | deepmind/math_dataset |
b'Simplify (q**(1/10)/q)/(q/q**(1/8)) assuming q is positive.\n' | b'q**(-71/40)\n' | b'Simplify (q**(1/10)/q)/(q/q**(1/8)) assuming q is positive.\n' | b'q**(-71/40)\n' | deepmind/math_dataset |
b'Let o = -11 - -14. Suppose 13*y = 8*y + 25. Let r be y/(4 + (-39)/9)*-1. Solve -2*h - o*h + 2*g = r, -4*g = 20 for h.\n' | b'-5\n' | b'Let o = -11 - -14. Suppose 13*y = 8*y + 25. Let r be y/(4 + (-39)/9)*-1. Solve -2*h - o*h + 2*g = r, -4*g = 20 for h.\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose b + 0*b = 2. Let x be (12/(-8))/((-2)/16). Let o be 21/b*x/7. Solve -5*k - d = 20, -o = 4*k - d + 7 for k.\n' | b'-5\n' | b'Suppose b + 0*b = 2. Let x be (12/(-8))/((-2)/16). Let o be 21/b*x/7. Solve -5*k - d = 20, -o = 4*k - d + 7 for k.\n' | b'-5\n' | deepmind/math_dataset |
b'Let w = 65 - 67. Let h be ((-12)/15)/(w/10). Solve h*n = -5*b + 25, 2*n = -3*b + 16 - 3 for b.\n' | b'1\n' | b'Let w = 65 - 67. Let h be ((-12)/15)/(w/10). Solve h*n = -5*b + 25, 2*n = -3*b + 16 - 3 for b.\n' | b'1\n' | deepmind/math_dataset |
b'Let l = -16 + 36. Suppose 5*g = g + l. Suppose -40 + g = -5*p. Solve 5*m - p = i, -3*i = 4*m - 2 + 4 for m.\n' | b'1\n' | b'Let l = -16 + 36. Suppose 5*g = g + l. Suppose -40 + g = -5*p. Solve 5*m - p = i, -3*i = 4*m - 2 + 4 for m.\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of sequence lyv when three letters picked without replacement from yyvylveyve.\n' | b'1/60\n' | b'Calculate prob of sequence lyv when three letters picked without replacement from yyvylveyve.\n' | b'1/60\n' | deepmind/math_dataset |
b'Two letters picked without replacement from gfngizngnizivgf. Give prob of sequence gf.\n' | b'4/105\n' | b'Two letters picked without replacement from gfngizngnizivgf. Give prob of sequence gf.\n' | b'4/105\n' | deepmind/math_dataset |
b'Let x be 5/(15/(-12))*18/12. Let l be 1/(x*(-4)/16 - 2). Let g be (34/14 - l) + 32/56. Solve d = t + 9, d - 35 = -2*d + g*t for d.\n' | b'5\n' | b'Let x be 5/(15/(-12))*18/12. Let l be 1/(x*(-4)/16 - 2). Let g be (34/14 - l) + 32/56. Solve d = t + 9, d - 35 = -2*d + g*t for d.\n' | b'5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from olplpplpo. What is prob of sequence pppp?\n' | b'1/126\n' | b'Four letters picked without replacement from olplpplpo. What is prob of sequence pppp?\n' | b'1/126\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 d and 1 s when two letters picked without replacement from {d: 1, s: 1, o: 2, h: 1, p: 2, j: 2}.\n' | b'1/36\n' | b'Calculate prob of picking 1 d and 1 s when two letters picked without replacement from {d: 1, s: 1, o: 2, h: 1, p: 2, j: 2}.\n' | b'1/36\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 c and 2 w when three letters picked without replacement from wwmccwwmcccccw.\n' | b'5/26\n' | b'Calculate prob of picking 1 c and 2 w when three letters picked without replacement from wwmccwwmcccccw.\n' | b'5/26\n' | deepmind/math_dataset |
b'What is prob of sequence ermr when four letters picked without replacement from fffrfffffrmxfeexx?\n' | b'1/14280\n' | b'What is prob of sequence ermr when four letters picked without replacement from fffrfffffrmxfeexx?\n' | b'1/14280\n' | deepmind/math_dataset |
b'Let u(h) be the second derivative of -h**3/2 - 11*h**2/2 - 812*h. Determine u(-11).\n' | b'22\n' | b'Let u(h) be the second derivative of -h**3/2 - 11*h**2/2 - 812*h. Determine u(-11).\n' | b'22\n' | deepmind/math_dataset |
b'Let w(d) = -68 - 65 + 7*d + 2*d**2 + 2*d**3 - 3*d**3 + 191 - 69. Calculate w(3).\n' | b'1\n' | b'Let w(d) = -68 - 65 + 7*d + 2*d**2 + 2*d**3 - 3*d**3 + 191 - 69. Calculate w(3).\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of sequence hshl when four letters picked without replacement from hhsljsjsssjsj.\n' | b'1/1430\n' | b'Calculate prob of sequence hshl when four letters picked without replacement from hhsljsjsssjsj.\n' | b'1/1430\n' | deepmind/math_dataset |
b'Let t(q) be the first derivative of -79*q**4/4 - 125*q**2 + 52*q + 103. Let k(n) be the first derivative of t(n). Differentiate k(x) wrt x.\n' | b'-474*x\n' | b'Let t(q) be the first derivative of -79*q**4/4 - 125*q**2 + 52*q + 103. Let k(n) be the first derivative of t(n). Differentiate k(x) wrt x.\n' | b'-474*x\n' | deepmind/math_dataset |
b'What is prob of sequence uka when three letters picked without replacement from {k: 1, r: 1, u: 2, a: 1, c: 1, w: 1}?\n' | b'1/105\n' | b'What is prob of sequence uka when three letters picked without replacement from {k: 1, r: 1, u: 2, a: 1, c: 1, w: 1}?\n' | b'1/105\n' | deepmind/math_dataset |
b'Let m be 2/(-4) - 2/(-4). Let o = -1612 + 1617. Solve m = o*n + y - 2*y - 13, -1 = -5*n - 3*y for n.\n' | b'2\n' | b'Let m be 2/(-4) - 2/(-4). Let o = -1612 + 1617. Solve m = o*n + y - 2*y - 13, -1 = -5*n - 3*y for n.\n' | b'2\n' | deepmind/math_dataset |
b'What is prob of sequence qy when two letters picked without replacement from {y: 1, h: 3, q: 2, u: 5, n: 1, r: 3}?\n' | b'1/105\n' | b'What is prob of sequence qy when two letters picked without replacement from {y: 1, h: 3, q: 2, u: 5, n: 1, r: 3}?\n' | b'1/105\n' | deepmind/math_dataset |
b'What is prob of picking 1 y, 1 b, 1 v, and 1 h when four letters picked without replacement from {y: 1, v: 1, h: 1, b: 1, i: 1}?\n' | b'1/5\n' | b'What is prob of picking 1 y, 1 b, 1 v, and 1 h when four letters picked without replacement from {y: 1, v: 1, h: 1, b: 1, i: 1}?\n' | b'1/5\n' | deepmind/math_dataset |
b'Let i(k) = 5*k**2 + 3*k + 1. Let x(l) = -56*l**2 - 34*l - 10. Suppose 2*t = 3 + 9. Let o(g) = t*x(g) + 68*i(g). Differentiate o(n) wrt n.\n' | b'8*n\n' | b'Let i(k) = 5*k**2 + 3*k + 1. Let x(l) = -56*l**2 - 34*l - 10. Suppose 2*t = 3 + 9. Let o(g) = t*x(g) + 68*i(g). Differentiate o(n) wrt n.\n' | b'8*n\n' | deepmind/math_dataset |
b'Suppose -q - 9 = -4*q. Suppose -q*m + 0*m + 9 = 0. Solve 2*b + 10 = m*t, -3*b - 5 = -2*b + 3*t for b.\n' | b'-5\n' | b'Suppose -q - 9 = -4*q. Suppose -q*m + 0*m + 9 = 0. Solve 2*b + 10 = m*t, -3*b - 5 = -2*b + 3*t for b.\n' | b'-5\n' | deepmind/math_dataset |
b'Let k(p) = -2*p**3 - p**2 + 11*p. Let n(v) = v**3 - 2*v - 1. Let x(r) = k(r) + 3*n(r). Let m be x(1). Solve m*h - h - 2*o = 6, 4*h = o + 17 for h.\n' | b'4\n' | b'Let k(p) = -2*p**3 - p**2 + 11*p. Let n(v) = v**3 - 2*v - 1. Let x(r) = k(r) + 3*n(r). Let m be x(1). Solve m*h - h - 2*o = 6, 4*h = o + 17 for h.\n' | b'4\n' | deepmind/math_dataset |
b'Suppose 2822 = 56*i - 146. Suppose 4*l + 13 = 241. Let z = l - i. Solve p + z*j = 14, -3*p - 9 - 1 = -j for p.\n' | b'-2\n' | b'Suppose 2822 = 56*i - 146. Suppose 4*l + 13 = 241. Let z = l - i. Solve p + z*j = 14, -3*p - 9 - 1 = -j for p.\n' | b'-2\n' | deepmind/math_dataset |
b'Let w be 0 + -1 + (-5)/5 + 4. Let j be (w - (-1)/((-4)/8))/(-1). Suppose 6*y + 2 - 8 = j. Solve 3*f + 18 = 2*o + y, -3*f - 9 = 0 for o.\n' | b'4\n' | b'Let w be 0 + -1 + (-5)/5 + 4. Let j be (w - (-1)/((-4)/8))/(-1). Suppose 6*y + 2 - 8 = j. Solve 3*f + 18 = 2*o + y, -3*f - 9 = 0 for o.\n' | b'4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {n: 1, k: 2, t: 3, p: 9, r: 1, i: 3}. What is prob of picking 1 r and 1 n?\n' | b'1/171\n' | b'Two letters picked without replacement from {n: 1, k: 2, t: 3, p: 9, r: 1, i: 3}. What is prob of picking 1 r and 1 n?\n' | b'1/171\n' | deepmind/math_dataset |
b'Let u = -1 - 7. Suppose 0 = -3*d + 2*o + 3*o + 48, -2*d - 5*o + 7 = 0. Let k = u + d. Solve 3*r = l - 13, 3*r = r + k*l - 4 for r.\n' | b'-5\n' | b'Let u = -1 - 7. Suppose 0 = -3*d + 2*o + 3*o + 48, -2*d - 5*o + 7 = 0. Let k = u + d. Solve 3*r = l - 13, 3*r = r + k*l - 4 for r.\n' | b'-5\n' | deepmind/math_dataset |
b'Let f(r) = r**2 - r + 1. Let q(l) = 6*l**2 - 2*l + 1. Let g(w) = -2*f(w) + q(w). Let h be g(-1). Differentiate 2 + 16*v**3 + 0 - 13*v**h wrt v.\n' | b'9*v**2\n' | b'Let f(r) = r**2 - r + 1. Let q(l) = 6*l**2 - 2*l + 1. Let g(w) = -2*f(w) + q(w). Let h be g(-1). Differentiate 2 + 16*v**3 + 0 - 13*v**h wrt v.\n' | b'9*v**2\n' | deepmind/math_dataset |
b'Let k be 0/1*2/2. Let o be k*(-4)/(-12) - 1. Let y be 2 + (o - -1)*1. Solve -4*z = -3*b + 11, y*z + 8 = 4*b - 2*z for b.\n' | b'-3\n' | b'Let k be 0/1*2/2. Let o be k*(-4)/(-12) - 1. Let y be 2 + (o - -1)*1. Solve -4*z = -3*b + 11, y*z + 8 = 4*b - 2*z for b.\n' | b'-3\n' | deepmind/math_dataset |
b'Calculate prob of sequence ytmt when four letters picked without replacement from ymtyt.\n' | b'1/30\n' | b'Calculate prob of sequence ytmt when four letters picked without replacement from ymtyt.\n' | b'1/30\n' | deepmind/math_dataset |
b'Suppose 3*h - 69 = -3*g, 0 = g - 1 + 3. Suppose 4*f - 6*s + s + 75 = 0, 4*s - 16 = f. Let x = h + f. Solve -24 = -5*z - 2*m, 0 = -x*z + m + 6 + 12 for z.\n' | b'4\n' | b'Suppose 3*h - 69 = -3*g, 0 = g - 1 + 3. Suppose 4*f - 6*s + s + 75 = 0, 4*s - 16 = f. Let x = h + f. Solve -24 = -5*z - 2*m, 0 = -x*z + m + 6 + 12 for z.\n' | b'4\n' | deepmind/math_dataset |
b'Suppose -2*d - 35 = -9*d. What is the second derivative of 11*b - 24*b + 22*b + 11*b**d wrt b?\n' | b'220*b**3\n' | b'Suppose -2*d - 35 = -9*d. What is the second derivative of 11*b - 24*b + 22*b + 11*b**d wrt b?\n' | b'220*b**3\n' | deepmind/math_dataset |
b'Let w(j) = 3*j + 3. Let p(n) = -9*n - 9. Let o(h) = -4*p(h) - 14*w(h). Determine o(-4).\n' | b'18\n' | b'Let w(j) = 3*j + 3. Let p(n) = -9*n - 9. Let o(h) = -4*p(h) - 14*w(h). Determine o(-4).\n' | b'18\n' | deepmind/math_dataset |
b'Two letters picked without replacement from avaa. What is prob of sequence va?\n' | b'1/4\n' | b'Two letters picked without replacement from avaa. What is prob of sequence va?\n' | b'1/4\n' | deepmind/math_dataset |
b'Simplify (((z/z**(-1/2))/z)/z*z)**(-2)/((z*z**(-3/17))/((z**(-3)/z*z)/z)) assuming z is positive.\n' | b'z**(-99/17)\n' | b'Simplify (((z/z**(-1/2))/z)/z*z)**(-2)/((z*z**(-3/17))/((z**(-3)/z*z)/z)) assuming z is positive.\n' | b'z**(-99/17)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from hshhdlsdglszgzs. Give prob of picking 2 d.\n' | b'1/105\n' | b'Two letters picked without replacement from hshhdlsdglszgzs. Give prob of picking 2 d.\n' | b'1/105\n' | deepmind/math_dataset |
b'Simplify (y/y**(-3))**(-12/11)*y/y**(-10)*y**3 assuming y is positive.\n' | b'y**(106/11)\n' | b'Simplify (y/y**(-3))**(-12/11)*y/y**(-10)*y**3 assuming y is positive.\n' | b'y**(106/11)\n' | deepmind/math_dataset |
b'What is the third derivative of -21*n - 41*n**2 + 470*n**4 - 125*n - 18*n + 36*n**2 wrt n?\n' | b'11280*n\n' | b'What is the third derivative of -21*n - 41*n**2 + 470*n**4 - 125*n - 18*n + 36*n**2 wrt n?\n' | b'11280*n\n' | deepmind/math_dataset |
b'What is prob of sequence ahhs when four letters picked without replacement from {c: 3, s: 1, t: 6, a: 7, h: 2}?\n' | b'7/46512\n' | b'What is prob of sequence ahhs when four letters picked without replacement from {c: 3, s: 1, t: 6, a: 7, h: 2}?\n' | b'7/46512\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 o when two letters picked without replacement from oootoctseodt.\n' | b'5/33\n' | b'Calculate prob of picking 2 o when two letters picked without replacement from oootoctseodt.\n' | b'5/33\n' | deepmind/math_dataset |
b'Let o(t) be the third derivative of -7*t**4/12 - 5*t**3/6 - 117*t**2 - 10. Give o(1).\n' | b'-19\n' | b'Let o(t) be the third derivative of -7*t**4/12 - 5*t**3/6 - 117*t**2 - 10. Give o(1).\n' | b'-19\n' | deepmind/math_dataset |
b'Let s(r) be the first derivative of 51 + 2*r - 3/4*r**4 + 0*r**2 + 2/3*r**3. Calculate s(2).\n' | b'-14\n' | b'Let s(r) be the first derivative of 51 + 2*r - 3/4*r**4 + 0*r**2 + 2/3*r**3. Calculate s(2).\n' | b'-14\n' | deepmind/math_dataset |
b'Let t(w) be the third derivative of -w**4/8 + 17*w**2. What is t(2)?\n' | b'-6\n' | b'Let t(w) be the third derivative of -w**4/8 + 17*w**2. What is t(2)?\n' | b'-6\n' | deepmind/math_dataset |
b'Simplify (((f/(f/f**4*f*f)*f)/f**4)**(-3/11))**(2/7) assuming f is positive.\n' | b'f**(6/77)\n' | b'Simplify (((f/(f/f**4*f*f)*f)/f**4)**(-3/11))**(2/7) assuming f is positive.\n' | b'f**(6/77)\n' | deepmind/math_dataset |
b'Let t(i) = -3*i + 6. Let p be t(0). Let n = 4 - p. Let w be (-8)/(-2)*(-1 - n). Solve -w*j = -5*r + 14, -r + 4 = -5*j - 3 for r.\n' | b'2\n' | b'Let t(i) = -3*i + 6. Let p be t(0). Let n = 4 - p. Let w be (-8)/(-2)*(-1 - n). Solve -w*j = -5*r + 14, -r + 4 = -5*j - 3 for r.\n' | b'2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from hddssxxsnxdxzhddshsn. Give prob of picking 2 n and 1 z.\n' | b'1/1140\n' | b'Three letters picked without replacement from hddssxxsnxdxzhddshsn. Give prob of picking 2 n and 1 z.\n' | b'1/1140\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {o: 1, t: 1, l: 2, a: 1, k: 1, p: 1}. Give prob of sequence otkp.\n' | b'1/840\n' | b'Four letters picked without replacement from {o: 1, t: 1, l: 2, a: 1, k: 1, p: 1}. Give prob of sequence otkp.\n' | b'1/840\n' | deepmind/math_dataset |
b'Let w = -191 - -11461/60. Let j(t) be the third derivative of t**3 + 0*t + w*t**5 - 1/3*t**4 + 0 - 9*t**2. Give j(8).\n' | b'6\n' | b'Let w = -191 - -11461/60. Let j(t) be the third derivative of t**3 + 0*t + w*t**5 - 1/3*t**4 + 0 - 9*t**2. Give j(8).\n' | b'6\n' | deepmind/math_dataset |
b'Simplify (i/i**(-1/9))/(i*i**(-16/3)*i) assuming i is positive.\n' | b'i**(40/9)\n' | b'Simplify (i/i**(-1/9))/(i*i**(-16/3)*i) assuming i is positive.\n' | b'i**(40/9)\n' | deepmind/math_dataset |
b'Let u(f) = 22*f**3 + 4*f**2 + 8. Let v be (-58)/(-18) + (-12)/54. Let m(w) = 22*w**3 + 5*w**2 + 7. Let a(q) = v*u(q) - 2*m(q). Differentiate a(d) wrt d.\n' | b'66*d**2 + 4*d\n' | b'Let u(f) = 22*f**3 + 4*f**2 + 8. Let v be (-58)/(-18) + (-12)/54. Let m(w) = 22*w**3 + 5*w**2 + 7. Let a(q) = v*u(q) - 2*m(q). Differentiate a(d) wrt d.\n' | b'66*d**2 + 4*d\n' | deepmind/math_dataset |
b'Let d(u) = u**3 - u**2 - 2*u - 1. Suppose r = 7 - 25. Let q = 26 + r. Let z(f) = f**2 - 8*f - 1. Let b be z(q). Determine d(b).\n' | b'-1\n' | b'Let d(u) = u**3 - u**2 - 2*u - 1. Suppose r = 7 - 25. Let q = 26 + r. Let z(f) = f**2 - 8*f - 1. Let b be z(q). Determine d(b).\n' | b'-1\n' | deepmind/math_dataset |
b'What is prob of picking 1 o, 1 n, and 1 i when three letters picked without replacement from {o: 1, i: 4, q: 5, n: 5}?\n' | b'4/91\n' | b'What is prob of picking 1 o, 1 n, and 1 i when three letters picked without replacement from {o: 1, i: 4, q: 5, n: 5}?\n' | b'4/91\n' | deepmind/math_dataset |
b'Find the third derivative of -b**4 - 25*b**5 - 109*b**2 + 1149639*b - 1149639*b wrt b.\n' | b'-1500*b**2 - 24*b\n' | b'Find the third derivative of -b**4 - 25*b**5 - 109*b**2 + 1149639*b - 1149639*b wrt b.\n' | b'-1500*b**2 - 24*b\n' | deepmind/math_dataset |
b'Simplify ((r*r*r**(-10))**(-9/7)*r/((r/((r**(1/31)*r)/r))/r)*r/(r*r/(r**(-1)*r)))**(-47) assuming r is positive.\n' | b'r**(-105233/217)\n' | b'Simplify ((r*r*r**(-10))**(-9/7)*r/((r/((r**(1/31)*r)/r))/r)*r/(r*r/(r**(-1)*r)))**(-47) assuming r is positive.\n' | b'r**(-105233/217)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {s: 1, r: 1, z: 2, q: 4, j: 1}. Give prob of picking 2 z.\n' | b'1/36\n' | b'Two letters picked without replacement from {s: 1, r: 1, z: 2, q: 4, j: 1}. Give prob of picking 2 z.\n' | b'1/36\n' | deepmind/math_dataset |
b'Simplify ((m**8/m**(3/2))**(3/28))**(-14) assuming m is positive.\n' | b'm**(-39/4)\n' | b'Simplify ((m**8/m**(3/2))**(3/28))**(-14) assuming m is positive.\n' | b'm**(-39/4)\n' | deepmind/math_dataset |
b'Let r(n) = n - 2. Let m = -10 + 13. Suppose 7 = m*a - 2. Determine r(a).\n' | b'1\n' | b'Let r(n) = n - 2. Let m = -10 + 13. Suppose 7 = m*a - 2. Determine r(a).\n' | b'1\n' | deepmind/math_dataset |
b'Let a be (1 - 0) + (-234)/(-9). Let u(o) = o**3 - 11*o**2 + 12*o - 16. Let n be u(10). Solve 0 = n*z - 3*h - 1 + 20, -2*z + 5*h - a = 0 for z.\n' | b'-1\n' | b'Let a be (1 - 0) + (-234)/(-9). Let u(o) = o**3 - 11*o**2 + 12*o - 16. Let n be u(10). Solve 0 = n*z - 3*h - 1 + 20, -2*z + 5*h - a = 0 for z.\n' | b'-1\n' | deepmind/math_dataset |
b'Suppose -5*l - 3*q + 3 = 0, 8 = -q + 4. Let b(c) = 3*c + 9. Let s(d) = -1 - 7 - 6 - 5*d. Let a(u) = -8*b(u) - 5*s(u). Give a(l).\n' | b'1\n' | b'Suppose -5*l - 3*q + 3 = 0, 8 = -q + 4. Let b(c) = 3*c + 9. Let s(d) = -1 - 7 - 6 - 5*d. Let a(u) = -8*b(u) - 5*s(u). Give a(l).\n' | b'1\n' | deepmind/math_dataset |
b'Let d(x) be the first derivative of -x**2 + 0*x**3 + 0*x**4 - 46/5*x**5 - 73 + 48*x. What is the derivative of d(n) wrt n?\n' | b'-184*n**3 - 2\n' | b'Let d(x) be the first derivative of -x**2 + 0*x**3 + 0*x**4 - 46/5*x**5 - 73 + 48*x. What is the derivative of d(n) wrt n?\n' | b'-184*n**3 - 2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {e: 2, d: 1, r: 1, b: 1, s: 1, i: 1}. What is prob of picking 1 e, 1 s, and 1 b?\n' | b'2/35\n' | b'Three letters picked without replacement from {e: 2, d: 1, r: 1, b: 1, s: 1, i: 1}. What is prob of picking 1 e, 1 s, and 1 b?\n' | b'2/35\n' | deepmind/math_dataset |
b'Let w(n) = 3*n**2 + 35*n - 12. Let p be w(-12). Solve 4*q + 2*s + 2 = 0, -5*q - 4*s = 4 - p for q.\n' | b'0\n' | b'Let w(n) = 3*n**2 + 35*n - 12. Let p be w(-12). Solve 4*q + 2*s + 2 = 0, -5*q - 4*s = 4 - p for q.\n' | b'0\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {b: 2, i: 1, p: 1, x: 2, k: 1, m: 1}. What is prob of sequence pi?\n' | b'1/56\n' | b'Two letters picked without replacement from {b: 2, i: 1, p: 1, x: 2, k: 1, m: 1}. What is prob of sequence pi?\n' | b'1/56\n' | deepmind/math_dataset |
b'Simplify ((k**2)**(4/3)*(k/k**(1/7))/((k/k**(1/2))/k))**(21/5) assuming k is positive.\n' | b'k**(169/10)\n' | b'Simplify ((k**2)**(4/3)*(k/k**(1/7))/((k/k**(1/2))/k))**(21/5) assuming k is positive.\n' | b'k**(169/10)\n' | deepmind/math_dataset |
b'Simplify ((r/((r/(r/(r**(3/7)/r)))/r))**(-3/7))**(-2/63) assuming r is positive.\n' | b'r**(12/343)\n' | b'Simplify ((r/((r/(r/(r**(3/7)/r)))/r))**(-3/7))**(-2/63) assuming r is positive.\n' | b'r**(12/343)\n' | deepmind/math_dataset |
b'Let x(u) = u**2 - 11*u - 12. Let b be x(12). Suppose -4*c + 15 = -b*c + i, -2*c = 3*i + 5. Solve -2 = q - v, c*v = -0*q - q - 14 for q.\n' | b'-4\n' | b'Let x(u) = u**2 - 11*u - 12. Let b be x(12). Suppose -4*c + 15 = -b*c + i, -2*c = 3*i + 5. Solve -2 = q - v, c*v = -0*q - q - 14 for q.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify ((a**(-1/5)*a)/(a/(a**(-1/9)/a)))/(a**(-4/9)/a**(2/5))*((a*(a/(a/a**2))/a)**18)**50 assuming a is positive.\n' | b'a**(26993/15)\n' | b'Simplify ((a**(-1/5)*a)/(a/(a**(-1/9)/a)))/(a**(-4/9)/a**(2/5))*((a*(a/(a/a**2))/a)**18)**50 assuming a is positive.\n' | b'a**(26993/15)\n' | deepmind/math_dataset |
b'Let t(z) = -z**2 - 6*z - 6. Let y(p) = 5*p - 3. Let i be y(3). Let r = 2667 - 2658. Suppose -6*x = -r*x - i. Calculate t(x).\n' | b'2\n' | b'Let t(z) = -z**2 - 6*z - 6. Let y(p) = 5*p - 3. Let i be y(3). Let r = 2667 - 2658. Suppose -6*x = -r*x - i. Calculate t(x).\n' | b'2\n' | deepmind/math_dataset |
b'Simplify (c/(c/c**(1/3)))/c*c**(-2/35)/c assuming c is positive.\n' | b'c**(-181/105)\n' | b'Simplify (c/(c/c**(1/3)))/c*c**(-2/35)/c assuming c is positive.\n' | b'c**(-181/105)\n' | deepmind/math_dataset |
b'Let s(v) = -5*v + 46*v**2 + 18*v**2 + 4 - 63*v**2. Calculate s(6).\n' | b'10\n' | b'Let s(v) = -5*v + 46*v**2 + 18*v**2 + 4 - 63*v**2. Calculate s(6).\n' | b'10\n' | deepmind/math_dataset |
b'Let n(w) = w**3 + w**2 - w - 2. Let r be n(2). Suppose 2*p - r = -0*p. Let k = 26 - 22. Solve g - 15 = -k*q + p, -20 = -5*q for g.\n' | b'3\n' | b'Let n(w) = w**3 + w**2 - w - 2. Let r be n(2). Suppose 2*p - r = -0*p. Let k = 26 - 22. Solve g - 15 = -k*q + p, -20 = -5*q for g.\n' | b'3\n' | deepmind/math_dataset |
b'Suppose -647*s + 654*s = 35. Let z(x) be the first derivative of -x**2/2 + 6*x - 1. Calculate z(s).\n' | b'1\n' | b'Suppose -647*s + 654*s = 35. Let z(x) be the first derivative of -x**2/2 + 6*x - 1. Calculate z(s).\n' | b'1\n' | deepmind/math_dataset |
b'Let y(h) = 3*h - 52 - 6*h + 53 - 4*h. What is y(-2)?\n' | b'15\n' | b'Let y(h) = 3*h - 52 - 6*h + 53 - 4*h. What is y(-2)?\n' | b'15\n' | deepmind/math_dataset |
b'Three letters picked without replacement from vvvvvccvcvc. What is prob of sequence vcv?\n' | b'28/165\n' | b'Three letters picked without replacement from vvvvvccvcvc. What is prob of sequence vcv?\n' | b'28/165\n' | deepmind/math_dataset |
b'Suppose -43*s + 50*s = 7. Solve -2*o + s = -3*m, -4*m - 1 = -2*o + 3 for o.\n' | b'-4\n' | b'Suppose -43*s + 50*s = 7. Solve -2*o + s = -3*m, -4*m - 1 = -2*o + 3 for o.\n' | b'-4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from rvvrcpprpururcc. Give prob of sequence rrr.\n' | b'2/91\n' | b'Three letters picked without replacement from rvvrcpprpururcc. Give prob of sequence rrr.\n' | b'2/91\n' | deepmind/math_dataset |
b'Simplify (k**(5/2)/k*k**(-2)/k)**49 assuming k is positive.\n' | b'k**(-147/2)\n' | b'Simplify (k**(5/2)/k*k**(-2)/k)**49 assuming k is positive.\n' | b'k**(-147/2)\n' | deepmind/math_dataset |
b'Simplify y**(-2/15)*y/(y*(y**(-5)*y*y*y*y*y*y)/y)*y**(5/3)/(y**6/y*y) assuming y is positive.\n' | b'y**(-67/15)\n' | b'Simplify y**(-2/15)*y/(y*(y**(-5)*y*y*y*y*y*y)/y)*y**(5/3)/(y**6/y*y) assuming y is positive.\n' | b'y**(-67/15)\n' | deepmind/math_dataset |
b'Suppose -3*j + 22 = 5*l, 4 = 2*l + j - 4. Let b(y) = y**2 + 11. Let z(k) = k**4 + 1. Let w(c) = l*z(c) - b(c). What is the third derivative of w(n) wrt n?\n' | b'48*n\n' | b'Suppose -3*j + 22 = 5*l, 4 = 2*l + j - 4. Let b(y) = y**2 + 11. Let z(k) = k**4 + 1. Let w(c) = l*z(c) - b(c). What is the third derivative of w(n) wrt n?\n' | b'48*n\n' | deepmind/math_dataset |
b'Let t(y) be the first derivative of y**5/24 - y**4/4 - 3*y**3 - 2*y - 59. Let b(h) be the third derivative of t(h). Calculate b(5).\n' | b'19\n' | b'Let t(y) be the first derivative of y**5/24 - y**4/4 - 3*y**3 - 2*y - 59. Let b(h) be the third derivative of t(h). Calculate b(5).\n' | b'19\n' | deepmind/math_dataset |
b'What is prob of picking 1 u and 2 j when three letters picked without replacement from juugjujj?\n' | b'9/28\n' | b'What is prob of picking 1 u and 2 j when three letters picked without replacement from juugjujj?\n' | b'9/28\n' | deepmind/math_dataset |
b'What is prob of picking 4 z when four letters picked without replacement from hhhhzhzzhhhzhhhhzh?\n' | b'1/612\n' | b'What is prob of picking 4 z when four letters picked without replacement from hhhhzhzzhhhzhhhhzh?\n' | b'1/612\n' | deepmind/math_dataset |
b'Calculate prob of sequence pkpp when four letters picked without replacement from {p: 7, k: 2}.\n' | b'5/36\n' | b'Calculate prob of sequence pkpp when four letters picked without replacement from {p: 7, k: 2}.\n' | b'5/36\n' | deepmind/math_dataset |
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