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 -2*d - 2 = -4*z, 0 = -4*d - 3*z + 2*z - 22. Let o(l) = -l**2 - 7*l - 2. Calculate o(d).\n' | b'8\n' | b'Suppose -2*d - 2 = -4*z, 0 = -4*d - 3*z + 2*z - 22. Let o(l) = -l**2 - 7*l - 2. Calculate o(d).\n' | b'8\n' | deepmind/math_dataset |
b'Simplify ((w**4/w**9)/(w**3/w*w/((w/w**8)/w*w*w)))**(-2) assuming w is positive.\n' | b'w**28\n' | b'Simplify ((w**4/w**9)/(w**3/w*w/((w/w**8)/w*w*w)))**(-2) assuming w is positive.\n' | b'w**28\n' | deepmind/math_dataset |
b'What is prob of sequence vr when two letters picked without replacement from brfeefvvrffbae?\n' | b'2/91\n' | b'What is prob of sequence vr when two letters picked without replacement from brfeefvvrffbae?\n' | b'2/91\n' | deepmind/math_dataset |
b'Suppose -1 + 11 = 2*v. Let u be ((v/3)/1 + -2)*-9. Suppose 0*q + 2*q - 44 = -2*t, u*q + t = 74. Solve 11 = -5*k + j, q + 9 = -5*k - 5*j for k.\n' | b'-3\n' | b'Suppose -1 + 11 = 2*v. Let u be ((v/3)/1 + -2)*-9. Suppose 0*q + 2*q - 44 = -2*t, u*q + t = 74. Solve 11 = -5*k + j, q + 9 = -5*k - 5*j for k.\n' | b'-3\n' | deepmind/math_dataset |
b'Calculate prob of sequence dzkk when four letters picked without replacement from {z: 1, d: 2, k: 2}.\n' | b'1/30\n' | b'Calculate prob of sequence dzkk when four letters picked without replacement from {z: 1, d: 2, k: 2}.\n' | b'1/30\n' | deepmind/math_dataset |
b'Let p = -9 - -11. Let g(z) = -z**p + 0*z + 3 - 3*z + 0*z**2. Calculate g(-5).\n' | b'-7\n' | b'Let p = -9 - -11. Let g(z) = -z**p + 0*z + 3 - 3*z + 0*z**2. Calculate g(-5).\n' | b'-7\n' | deepmind/math_dataset |
b'Simplify t/t**28*t/(t/(t/(t**(2/5)*t)))*t assuming t is positive.\n' | b't**(-132/5)\n' | b'Simplify t/t**28*t/(t/(t/(t**(2/5)*t)))*t assuming t is positive.\n' | b't**(-132/5)\n' | deepmind/math_dataset |
b'Let p(q) = -2*q**3 - 59*q**2 + 32*q + 47. Suppose 0 = 46*x - 44*x + 4*o + 76, 4*o + 136 = -4*x. Calculate p(x).\n' | b'-13\n' | b'Let p(q) = -2*q**3 - 59*q**2 + 32*q + 47. Suppose 0 = 46*x - 44*x + 4*o + 76, 4*o + 136 = -4*x. Calculate p(x).\n' | b'-13\n' | deepmind/math_dataset |
b'Calculate prob of sequence mm when two letters picked without replacement from gaagagmmga.\n' | b'1/45\n' | b'Calculate prob of sequence mm when two letters picked without replacement from gaagagmmga.\n' | b'1/45\n' | deepmind/math_dataset |
b'Simplify (g**4/(g*g**(-13)))/(g*g**6/g*g)**(-45) assuming g is positive.\n' | b'g**331\n' | b'Simplify (g**4/(g*g**(-13)))/(g*g**6/g*g)**(-45) assuming g is positive.\n' | b'g**331\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 z and 2 r when three letters picked without replacement from rwwwwzzwzrzrwzzrz.\n' | b'21/340\n' | b'Calculate prob of picking 1 z and 2 r when three letters picked without replacement from rwwwwzzwzrzrwzzrz.\n' | b'21/340\n' | deepmind/math_dataset |
b'What is prob of picking 3 n and 1 x when four letters picked without replacement from xxxxnnxjxnjxn?\n' | b'28/715\n' | b'What is prob of picking 3 n and 1 x when four letters picked without replacement from xxxxnnxjxnjxn?\n' | b'28/715\n' | deepmind/math_dataset |
b'Simplify ((q*((q*q*q/q**(2/7))/q)/q)/(q/q**9))/(q**(-1))**(-1/43) assuming q is positive.\n' | b'q**(2917/301)\n' | b'Simplify ((q*((q*q*q/q**(2/7))/q)/q)/(q/q**9))/(q**(-1))**(-1/43) assuming q is positive.\n' | b'q**(2917/301)\n' | deepmind/math_dataset |
b'Let i = -155 + 171. Let o(u) = -u**3 + 3*u**2 + 3*u + 7. Let v be -4*4/16*-3. Let f be o(v). Solve 2*d + n + 3*n = -i, 4*n + f = 5*d for d.\n' | b'0\n' | b'Let i = -155 + 171. Let o(u) = -u**3 + 3*u**2 + 3*u + 7. Let v be -4*4/16*-3. Let f be o(v). Solve 2*d + n + 3*n = -i, 4*n + f = 5*d for d.\n' | b'0\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {v: 2, x: 3, k: 2, h: 2, a: 2, p: 1}. What is prob of picking 2 k?\n' | b'1/66\n' | b'Two letters picked without replacement from {v: 2, x: 3, k: 2, h: 2, a: 2, p: 1}. What is prob of picking 2 k?\n' | b'1/66\n' | deepmind/math_dataset |
b'Let m be 36/8*(-8)/3. Let p(x) = -x**3 - 11*x**2 + 12*x. Let z be p(m). Differentiate z + 5 - 21*s + 17*s with respect to s.\n' | b'-4\n' | b'Let m be 36/8*(-8)/3. Let p(x) = -x**3 - 11*x**2 + 12*x. Let z be p(m). Differentiate z + 5 - 21*s + 17*s with respect to s.\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose -5*b + 15 = -4*b. Suppose -s - 4*s = -b. Suppose 0 = -h - 0*v - 2*v - 1, -18 = -4*h + s*v. Solve -2*m = -l + 3 - 1, h*m + 3*l = -21 for m.\n' | b'-3\n' | b'Suppose -5*b + 15 = -4*b. Suppose -s - 4*s = -b. Suppose 0 = -h - 0*v - 2*v - 1, -18 = -4*h + s*v. Solve -2*m = -l + 3 - 1, h*m + 3*l = -21 for m.\n' | b'-3\n' | deepmind/math_dataset |
b'Let a(w) = w - 1. Let x(u) = -2*u**2 - 4*u + 4. Let d(k) = 3*a(k) + x(k). Let p(v) = -v**2 + 2. Let r be p(2). Give d(r).\n' | b'-5\n' | b'Let a(w) = w - 1. Let x(u) = -2*u**2 - 4*u + 4. Let d(k) = 3*a(k) + x(k). Let p(v) = -v**2 + 2. Let r be p(2). Give d(r).\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify (h**(-2/3))**(-1/4)*h**(3/7)*h**(-2/7) assuming h is positive.\n' | b'h**(13/42)\n' | b'Simplify (h**(-2/3))**(-1/4)*h**(3/7)*h**(-2/7) assuming h is positive.\n' | b'h**(13/42)\n' | deepmind/math_dataset |
b'Let p = 2644 + -2646. Let m(n) = -n**2 - n - 2. Calculate m(p).\n' | b'-4\n' | b'Let p = 2644 + -2646. Let m(n) = -n**2 - n - 2. Calculate m(p).\n' | b'-4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from mtttrmeemtetr. What is prob of sequence me?\n' | b'3/52\n' | b'Two letters picked without replacement from mtttrmeemtetr. What is prob of sequence me?\n' | b'3/52\n' | deepmind/math_dataset |
b'Suppose 5*n - 2*n + 8 = -t, t - 2*n = -23. Let y(b) = -b**2 - 17*b - 5. Determine y(t).\n' | b'-5\n' | b'Suppose 5*n - 2*n + 8 = -t, t - 2*n = -23. Let y(b) = -b**2 - 17*b - 5. Determine y(t).\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify ((t**(2/37)*t*(t/(t/t**(-14)*t))/t)/(t*t**16*t*((t*(t**(3/5)/t)/t)/t)/t))**41 assuming t is positive.\n' | b't**(-231691/185)\n' | b'Simplify ((t**(2/37)*t*(t/(t/t**(-14)*t))/t)/(t*t**16*t*((t*(t**(3/5)/t)/t)/t)/t))**41 assuming t is positive.\n' | b't**(-231691/185)\n' | deepmind/math_dataset |
b'Let k(y) = -6*y**4 - 175*y**3 - 2*y**2 + 358. Let r(n) = -5*n**4 - 177*n**3 - 2*n**2 + 358. Let a(b) = 4*k(b) - 5*r(b). Find the third derivative of a(l) wrt l.\n' | b'24*l + 1110\n' | b'Let k(y) = -6*y**4 - 175*y**3 - 2*y**2 + 358. Let r(n) = -5*n**4 - 177*n**3 - 2*n**2 + 358. Let a(b) = 4*k(b) - 5*r(b). Find the third derivative of a(l) wrt l.\n' | b'24*l + 1110\n' | deepmind/math_dataset |
b'Simplify (p*p**1/p*p)**(-6/7)*p*p/(p*p/p**(-4))*p**(2/7) assuming p is positive.\n' | b'p**(-38/7)\n' | b'Simplify (p*p**1/p*p)**(-6/7)*p*p/(p*p/p**(-4))*p**(2/7) assuming p is positive.\n' | b'p**(-38/7)\n' | deepmind/math_dataset |
b'Suppose -2*h = -h - 4*p - 14, 2*h - p = 7. Find the third derivative of 15*f**h - 4*f**4 - 3*f**4 + 4*f**4 - 7*f**2 wrt f.\n' | b'-72*f\n' | b'Suppose -2*h = -h - 4*p - 14, 2*h - p = 7. Find the third derivative of 15*f**h - 4*f**4 - 3*f**4 + 4*f**4 - 7*f**2 wrt f.\n' | b'-72*f\n' | deepmind/math_dataset |
b'Simplify (z**1)**(-12/5)/(z*z**5/z*z*(z/z**(1/12))/z) assuming z is positive.\n' | b'z**(-499/60)\n' | b'Simplify (z**1)**(-12/5)/(z*z**5/z*z*(z/z**(1/12))/z) assuming z is positive.\n' | b'z**(-499/60)\n' | deepmind/math_dataset |
b'Suppose 5*u - 1 = 9. Let w(q) = 5*q**3 - 2*q**2 - 2*q + 3. What is w(u)?\n' | b'31\n' | b'Suppose 5*u - 1 = 9. Let w(q) = 5*q**3 - 2*q**2 - 2*q + 3. What is w(u)?\n' | b'31\n' | deepmind/math_dataset |
b'Suppose 0 + 10 = r + 2*y, -2*r - 3*y + 15 = 0. Suppose -k + 3*s = -r*s - 9, -2*k + 3*s + 12 = 0. Solve 5*d - 4 = k*j, -d - 2*d + j = 0 for d.\n' | b'-1\n' | b'Suppose 0 + 10 = r + 2*y, -2*r - 3*y + 15 = 0. Suppose -k + 3*s = -r*s - 9, -2*k + 3*s + 12 = 0. Solve 5*d - 4 = k*j, -d - 2*d + j = 0 for d.\n' | b'-1\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 e and 1 b when two letters picked without replacement from {b: 11, e: 5, w: 1}.\n' | b'55/136\n' | b'Calculate prob of picking 1 e and 1 b when two letters picked without replacement from {b: 11, e: 5, w: 1}.\n' | b'55/136\n' | deepmind/math_dataset |
b'Simplify (v/(v*v**(-2/5))*v)**(-39)*v*v*v**(-2/9)*v**(-6) assuming v is positive.\n' | b'v**(-2647/45)\n' | b'Simplify (v/(v*v**(-2/5))*v)**(-39)*v*v*v**(-2/9)*v**(-6) assuming v is positive.\n' | b'v**(-2647/45)\n' | deepmind/math_dataset |
b'Let q(m) be the second derivative of -m**6/120 - m**4/12 + m**3/6 - 2*m**2 - 2*m. Let s(h) be the first derivative of q(h). Determine s(1).\n' | b'-2\n' | b'Let q(m) be the second derivative of -m**6/120 - m**4/12 + m**3/6 - 2*m**2 - 2*m. Let s(h) be the first derivative of q(h). Determine s(1).\n' | b'-2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from pfpjfpftpj. What is prob of sequence pff?\n' | b'1/30\n' | b'Three letters picked without replacement from pfpjfpftpj. What is prob of sequence pff?\n' | b'1/30\n' | deepmind/math_dataset |
b'Let h(p) be the first derivative of -7*p**2 - 7*p + 19. What is the first derivative of h(l) wrt l?\n' | b'-14\n' | b'Let h(p) be the first derivative of -7*p**2 - 7*p + 19. What is the first derivative of h(l) wrt l?\n' | b'-14\n' | deepmind/math_dataset |
b'What is prob of picking 2 h when two letters picked without replacement from {h: 5, r: 7}?\n' | b'5/33\n' | b'What is prob of picking 2 h when two letters picked without replacement from {h: 5, r: 7}?\n' | b'5/33\n' | deepmind/math_dataset |
b'Simplify t**(-15)*t*t**(-32)*t assuming t is positive.\n' | b't**(-45)\n' | b'Simplify t**(-15)*t*t**(-32)*t assuming t is positive.\n' | b't**(-45)\n' | deepmind/math_dataset |
b'Suppose 14*f - 6 = 20*f. Let l(u) = -29*u**3 + u. Determine l(f).\n' | b'28\n' | b'Suppose 14*f - 6 = 20*f. Let l(u) = -29*u**3 + u. Determine l(f).\n' | b'28\n' | deepmind/math_dataset |
b'Let c(n) be the third derivative of 0*n**3 + 0*n**5 + 0*n - 1/30*n**6 - 2*n**2 + 1/8*n**4 + 0. Find the second derivative of c(i) wrt i.\n' | b'-24*i\n' | b'Let c(n) be the third derivative of 0*n**3 + 0*n**5 + 0*n - 1/30*n**6 - 2*n**2 + 1/8*n**4 + 0. Find the second derivative of c(i) wrt i.\n' | b'-24*i\n' | deepmind/math_dataset |
b'Let j(f) be the first derivative of f**8/14 + f**4/4 + 4*f + 4. Let r(p) be the first derivative of j(p). What is the third derivative of r(x) wrt x?\n' | b'480*x**3\n' | b'Let j(f) be the first derivative of f**8/14 + f**4/4 + 4*f + 4. Let r(p) be the first derivative of j(p). What is the third derivative of r(x) wrt x?\n' | b'480*x**3\n' | deepmind/math_dataset |
b'Simplify ((y**(-1/9)*y)/y**(4/5))/(y**(2/21)/(y**17/y)) assuming y is positive.\n' | b'y**(5038/315)\n' | b'Simplify ((y**(-1/9)*y)/y**(4/5))/(y**(2/21)/(y**17/y)) assuming y is positive.\n' | b'y**(5038/315)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from rnnrnnrnrrkk. What is prob of sequence kknr?\n' | b'5/1188\n' | b'Four letters picked without replacement from rnnrnnrnrrkk. What is prob of sequence kknr?\n' | b'5/1188\n' | deepmind/math_dataset |
b'Find the first derivative of -2510*a + 2216 + 480*a - 170*a wrt a.\n' | b'-2200\n' | b'Find the first derivative of -2510*a + 2216 + 480*a - 170*a wrt a.\n' | b'-2200\n' | deepmind/math_dataset |
b'What is prob of sequence oo when two letters picked without replacement from owyoflwoowoyyoyofol?\n' | b'28/171\n' | b'What is prob of sequence oo when two letters picked without replacement from owyoflwoowoyyoyofol?\n' | b'28/171\n' | deepmind/math_dataset |
b'Let r(x) be the first derivative of 0*x**2 - 139/3*x**3 + 0*x**5 + 0*x**4 + 116 - 1/2*x**6 - 27/7*x**7 + 0*x. Find the third derivative of r(l) wrt l.\n' | b'-3240*l**3 - 180*l**2\n' | b'Let r(x) be the first derivative of 0*x**2 - 139/3*x**3 + 0*x**5 + 0*x**4 + 116 - 1/2*x**6 - 27/7*x**7 + 0*x. Find the third derivative of r(l) wrt l.\n' | b'-3240*l**3 - 180*l**2\n' | deepmind/math_dataset |
b'Calculate prob of sequence mys when three letters picked without replacement from ysmmssssssysysmqq.\n' | b'27/1360\n' | b'Calculate prob of sequence mys when three letters picked without replacement from ysmmssssssysysmqq.\n' | b'27/1360\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 r and 1 m when two letters picked without replacement from mmrmmrmrrmm.\n' | b'28/55\n' | b'Calculate prob of picking 1 r and 1 m when two letters picked without replacement from mmrmmrmrrmm.\n' | b'28/55\n' | deepmind/math_dataset |
b'Calculate prob of sequence gp when two letters picked without replacement from {p: 1, g: 1, h: 7}.\n' | b'1/72\n' | b'Calculate prob of sequence gp when two letters picked without replacement from {p: 1, g: 1, h: 7}.\n' | b'1/72\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ziaazaaziaazaa. What is prob of sequence ia?\n' | b'8/91\n' | b'Two letters picked without replacement from ziaazaaziaazaa. What is prob of sequence ia?\n' | b'8/91\n' | deepmind/math_dataset |
b'Let n(r) be the first derivative of -r**4/4 - 2*r**3/3 + 3*r**2/2 + 4*r - 168. Suppose -22*x + 21 = -29*x. Determine n(x).\n' | b'4\n' | b'Let n(r) be the first derivative of -r**4/4 - 2*r**3/3 + 3*r**2/2 + 4*r - 168. Suppose -22*x + 21 = -29*x. Determine n(x).\n' | b'4\n' | deepmind/math_dataset |
b'Simplify (u**3)**(1/6) assuming u is positive.\n' | b'sqrt(u)\n' | b'Simplify (u**3)**(1/6) assuming u is positive.\n' | b'sqrt(u)\n' | deepmind/math_dataset |
b'Suppose -d - 48 = -g, 0 = 2*d - 5*g - 35 + 146. Let v = d - -47. Let r(w) = -43 + 0*w**2 + 39 - w + 4*w**2 + 3*w**3 - v*w**3. Give r(3).\n' | b'2\n' | b'Suppose -d - 48 = -g, 0 = 2*d - 5*g - 35 + 146. Let v = d - -47. Let r(w) = -43 + 0*w**2 + 39 - w + 4*w**2 + 3*w**3 - v*w**3. Give r(3).\n' | b'2\n' | deepmind/math_dataset |
b'What is the derivative of 41*z**3 + 21*z**3 + 196 - z + 0*z**2 + 0*z**2 wrt z?\n' | b'186*z**2 - 1\n' | b'What is the derivative of 41*z**3 + 21*z**3 + 196 - z + 0*z**2 + 0*z**2 wrt z?\n' | b'186*z**2 - 1\n' | deepmind/math_dataset |
b'What is prob of sequence cmrp when four letters picked without replacement from {c: 1, j: 1, r: 1, p: 3, q: 5, m: 2}?\n' | b'1/2860\n' | b'What is prob of sequence cmrp when four letters picked without replacement from {c: 1, j: 1, r: 1, p: 3, q: 5, m: 2}?\n' | b'1/2860\n' | deepmind/math_dataset |
b'Let w(j) = 5*j**2 - 5*j - 2. Let n(p) = -4*p**2 + 5*p + 1. Let i(s) = 4*n(s) + 3*w(s). Calculate i(3).\n' | b'4\n' | b'Let w(j) = 5*j**2 - 5*j - 2. Let n(p) = -4*p**2 + 5*p + 1. Let i(s) = 4*n(s) + 3*w(s). Calculate i(3).\n' | b'4\n' | deepmind/math_dataset |
b'Let i(m) = 265*m**2 + 20*m - 80. Let n(f) = -264*f**2 - 25*f + 79. Let u(v) = 5*i(v) + 4*n(v). Differentiate u(a) wrt a.\n' | b'538*a\n' | b'Let i(m) = 265*m**2 + 20*m - 80. Let n(f) = -264*f**2 - 25*f + 79. Let u(v) = 5*i(v) + 4*n(v). Differentiate u(a) wrt a.\n' | b'538*a\n' | deepmind/math_dataset |
b'Calculate prob of sequence ltl when three letters picked without replacement from {d: 2, t: 5, l: 2, w: 3, r: 3}.\n' | b'1/273\n' | b'Calculate prob of sequence ltl when three letters picked without replacement from {d: 2, t: 5, l: 2, w: 3, r: 3}.\n' | b'1/273\n' | deepmind/math_dataset |
b'Let z = -71 - -74. Let t(m) = -14*m - 24*m**3 + 4 - 2*m**2 + 8*m + 25*m**3 + m + 3*m. Calculate t(z).\n' | b'7\n' | b'Let z = -71 - -74. Let t(m) = -14*m - 24*m**3 + 4 - 2*m**2 + 8*m + 25*m**3 + m + 3*m. Calculate t(z).\n' | b'7\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {r: 10, c: 9}. What is prob of picking 1 r and 2 c?\n' | b'120/323\n' | b'Three letters picked without replacement from {r: 10, c: 9}. What is prob of picking 1 r and 2 c?\n' | b'120/323\n' | deepmind/math_dataset |
b'Suppose 4*d - 32 = 3*y - 6, 2*y = 3*d - 21. Solve -d = -3*q - 5*g, -3*g + 12 = -0 for q.\n' | b'-3\n' | b'Suppose 4*d - 32 = 3*y - 6, 2*y = 3*d - 21. Solve -d = -3*q - 5*g, -3*g + 12 = -0 for q.\n' | b'-3\n' | deepmind/math_dataset |
b'Let a(k) = 0 + 15*k**3 + 2 - 3 + 2*k + 1960*k**2 - 3917*k**2 + 1955*k**2. Calculate a(1).\n' | b'14\n' | b'Let a(k) = 0 + 15*k**3 + 2 - 3 + 2*k + 1960*k**2 - 3917*k**2 + 1955*k**2. Calculate a(1).\n' | b'14\n' | deepmind/math_dataset |
b'Let x(w) be the second derivative of -28*w**6/15 + 25*w**4/6 + 2*w - 18. What is the third derivative of x(k) wrt k?\n' | b'-1344*k\n' | b'Let x(w) be the second derivative of -28*w**6/15 + 25*w**4/6 + 2*w - 18. What is the third derivative of x(k) wrt k?\n' | b'-1344*k\n' | deepmind/math_dataset |
b'Calculate prob of sequence rrb when three letters picked without replacement from {r: 9, b: 11}.\n' | b'11/95\n' | b'Calculate prob of sequence rrb when three letters picked without replacement from {r: 9, b: 11}.\n' | b'11/95\n' | deepmind/math_dataset |
b'Let i(b) = b**3 - 2*b**2 + 2*b. Let x(n) = -2*n + 2. Let t be x(-2). Let q be (3 - t)/(2/(-14)). Suppose 4*m - 5*v + 4*v = 14, -5*m + q = -3*v. Calculate i(m).\n' | b'15\n' | b'Let i(b) = b**3 - 2*b**2 + 2*b. Let x(n) = -2*n + 2. Let t be x(-2). Let q be (3 - t)/(2/(-14)). Suppose 4*m - 5*v + 4*v = 14, -5*m + q = -3*v. Calculate i(m).\n' | b'15\n' | deepmind/math_dataset |
b'Let j(s) = 11*s**3 + 28*s**2 + 13*s - 1292. Let o(h) = -5*h**3 - 16*h**2 - 8*h + 647. Let g(p) = -4*j(p) - 7*o(p). Find the first derivative of g(t) wrt t.\n' | b'-27*t**2 + 4\n' | b'Let j(s) = 11*s**3 + 28*s**2 + 13*s - 1292. Let o(h) = -5*h**3 - 16*h**2 - 8*h + 647. Let g(p) = -4*j(p) - 7*o(p). Find the first derivative of g(t) wrt t.\n' | b'-27*t**2 + 4\n' | deepmind/math_dataset |
b'Simplify (((z/(z*z/z**5)*z*z**4*z)/((z/z**(2/15))/(z/z**(2/7))))**(-3/5))**19 assuming z is positive.\n' | b'z**(-19646/175)\n' | b'Simplify (((z/(z*z/z**5)*z*z**4*z)/((z/z**(2/15))/(z/z**(2/7))))**(-3/5))**19 assuming z is positive.\n' | b'z**(-19646/175)\n' | deepmind/math_dataset |
b'Suppose -4*d = -t - 8, -3*t - d = -8*t + 17. Solve -o = g - t, -2*o - 6 = -4 for g.\n' | b'5\n' | b'Suppose -4*d = -t - 8, -3*t - d = -8*t + 17. Solve -o = g - t, -2*o - 6 = -4 for g.\n' | b'5\n' | deepmind/math_dataset |
b'Let h(c) = 15*c - 23. Let s(x) = -x. Let u(l) = -8*l + 11. Let k(o) = s(o) - u(o). Let j(a) = -6*h(a) + 13*k(a). What is the first derivative of j(v) wrt v?\n' | b'1\n' | b'Let h(c) = 15*c - 23. Let s(x) = -x. Let u(l) = -8*l + 11. Let k(o) = s(o) - u(o). Let j(a) = -6*h(a) + 13*k(a). What is the first derivative of j(v) wrt v?\n' | b'1\n' | deepmind/math_dataset |
b'Simplify (t**(-24/11)*t**(-2/83))/(t**(-43)/t**(-8/3)) assuming t is positive.\n' | b't**(104431/2739)\n' | b'Simplify (t**(-24/11)*t**(-2/83))/(t**(-43)/t**(-8/3)) assuming t is positive.\n' | b't**(104431/2739)\n' | deepmind/math_dataset |
b'Let s = 22 - 26. Let k(x) = -15*x**3 - 23*x**2 - 14*x + 3. Let v(w) = -7*w**3 - 11*w**2 - 7*w + 1. Let f(u) = 6*k(u) - 13*v(u). What is f(s)?\n' | b'-7\n' | b'Let s = 22 - 26. Let k(x) = -15*x**3 - 23*x**2 - 14*x + 3. Let v(w) = -7*w**3 - 11*w**2 - 7*w + 1. Let f(u) = 6*k(u) - 13*v(u). What is f(s)?\n' | b'-7\n' | deepmind/math_dataset |
b'Simplify (s/(s*(s*(s**1/s)/s)/s))**(-13/2)*s*s*s/(s*s/(s/(s/(s*s**(1/6)*s)))*s)*s/((s/(s*(s/s**6)/s)*s)/s) assuming s is positive.\n' | b's**(-28/3)\n' | b'Simplify (s/(s*(s*(s**1/s)/s)/s))**(-13/2)*s*s*s/(s*s/(s/(s/(s*s**(1/6)*s)))*s)*s/((s/(s*(s/s**6)/s)*s)/s) assuming s is positive.\n' | b's**(-28/3)\n' | deepmind/math_dataset |
b'What is prob of picking 1 r, 1 t, and 1 d when three letters picked without replacement from rrdddttdddrdrrrhr?\n' | b'49/340\n' | b'What is prob of picking 1 r, 1 t, and 1 d when three letters picked without replacement from rrdddttdddrdrrrhr?\n' | b'49/340\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ehsebhshee. Give prob of picking 3 e and 1 b.\n' | b'2/105\n' | b'Four letters picked without replacement from ehsebhshee. Give prob of picking 3 e and 1 b.\n' | b'2/105\n' | deepmind/math_dataset |
b'Suppose 0 = -15*p + 13 + 32. Find the third derivative of -8*z**p + 61*z**2 - 9*z**3 - 17*z**3 wrt z.\n' | b'-204\n' | b'Suppose 0 = -15*p + 13 + 32. Find the third derivative of -8*z**p + 61*z**2 - 9*z**3 - 17*z**3 wrt z.\n' | b'-204\n' | deepmind/math_dataset |
b'Find the third derivative of -9*x**2 - 2*x - 3*x**2 + 28*x**2 + 4*x - 6*x**2 - 15*x**3 wrt x.\n' | b'-90\n' | b'Find the third derivative of -9*x**2 - 2*x - 3*x**2 + 28*x**2 + 4*x - 6*x**2 - 15*x**3 wrt x.\n' | b'-90\n' | deepmind/math_dataset |
b'Let g = 230 + -190. What is the second derivative of g*c - 8*c**3 + 7*c - 2*c**2 + 29*c wrt c?\n' | b'-48*c - 4\n' | b'Let g = 230 + -190. What is the second derivative of g*c - 8*c**3 + 7*c - 2*c**2 + 29*c wrt c?\n' | b'-48*c - 4\n' | deepmind/math_dataset |
b'Simplify (j**(1/4)*j**(4/3))**12*((j/((j*j**(2/5)*j)/j))**(21/8))**(-2/3) assuming j is positive.\n' | b'j**(197/10)\n' | b'Simplify (j**(1/4)*j**(4/3))**12*((j/((j*j**(2/5)*j)/j))**(21/8))**(-2/3) assuming j is positive.\n' | b'j**(197/10)\n' | deepmind/math_dataset |
b'Simplify d/(d**(-5/2)*d)*d*d*d/(d/(d**(-1/8)*d))*d*d*d assuming d is positive.\n' | b'd**(67/8)\n' | b'Simplify d/(d**(-5/2)*d)*d*d*d/(d/(d**(-1/8)*d))*d*d*d assuming d is positive.\n' | b'd**(67/8)\n' | deepmind/math_dataset |
b'What is prob of sequence mndn when four letters picked without replacement from nmnmknlodkno?\n' | b'1/495\n' | b'What is prob of sequence mndn when four letters picked without replacement from nmnmknlodkno?\n' | b'1/495\n' | deepmind/math_dataset |
b'What is prob of picking 1 s and 1 k when two letters picked without replacement from {t: 7, p: 1, k: 3, s: 1}?\n' | b'1/22\n' | b'What is prob of picking 1 s and 1 k when two letters picked without replacement from {t: 7, p: 1, k: 3, s: 1}?\n' | b'1/22\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {w: 3, v: 2, r: 2, c: 1, y: 6}. What is prob of sequence ry?\n' | b'6/91\n' | b'Two letters picked without replacement from {w: 3, v: 2, r: 2, c: 1, y: 6}. What is prob of sequence ry?\n' | b'6/91\n' | deepmind/math_dataset |
b'Let p(i) = -66*i**2 + 400*i - 20. Let d be p(6). Solve 6*f - 5*f = -5*g + 5, d*g - 33 = 5*f for g.\n' | b'2\n' | b'Let p(i) = -66*i**2 + 400*i - 20. Let d be p(6). Solve 6*f - 5*f = -5*g + 5, d*g - 33 = 5*f for g.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify (w**9*w**(-6/5))/(w**(-1/4)*w)**(-10)*w**(-1/2)/w**(1/2)*(w**(-1)/w)**(-2/27) assuming w is positive.\n' | b'w**(3901/270)\n' | b'Simplify (w**9*w**(-6/5))/(w**(-1/4)*w)**(-10)*w**(-1/2)/w**(1/2)*(w**(-1)/w)**(-2/27) assuming w is positive.\n' | b'w**(3901/270)\n' | deepmind/math_dataset |
b'Let v(x) = 595*x**2 + 654*x - 6. Let d(f) = -f**2 + f - 2. Let b(m) = 3*d(m) - v(m). What is the second derivative of b(s) wrt s?\n' | b'-1196\n' | b'Let v(x) = 595*x**2 + 654*x - 6. Let d(f) = -f**2 + f - 2. Let b(m) = 3*d(m) - v(m). What is the second derivative of b(s) wrt s?\n' | b'-1196\n' | deepmind/math_dataset |
b'Simplify s**(-15)*s**(-10/9)*s assuming s is positive.\n' | b's**(-136/9)\n' | b'Simplify s**(-15)*s**(-10/9)*s assuming s is positive.\n' | b's**(-136/9)\n' | deepmind/math_dataset |
b'Suppose 3*l + 4*s + 2 = 0, 3*l - 6*s + s = 16. Find the third derivative of 30*h**3 - 30*h**3 + 19 + 26*h**3 + h**l wrt h.\n' | b'156\n' | b'Suppose 3*l + 4*s + 2 = 0, 3*l - 6*s + s = 16. Find the third derivative of 30*h**3 - 30*h**3 + 19 + 26*h**3 + h**l wrt h.\n' | b'156\n' | deepmind/math_dataset |
b'Let a(i) be the first derivative of -165*i**4/4 + 57*i - 165. Differentiate a(x) wrt x.\n' | b'-495*x**2\n' | b'Let a(i) be the first derivative of -165*i**4/4 + 57*i - 165. Differentiate a(x) wrt x.\n' | b'-495*x**2\n' | deepmind/math_dataset |
b'Let u(f) be the third derivative of -3*f**5/4 + f**4/12 + f**3/6 - f**2 + 8*f. What is the second derivative of u(o) wrt o?\n' | b'-90\n' | b'Let u(f) be the third derivative of -3*f**5/4 + f**4/12 + f**3/6 - f**2 + 8*f. What is the second derivative of u(o) wrt o?\n' | b'-90\n' | deepmind/math_dataset |
b'Simplify (a**(2/7)/(a*a**(-2)*a))**(-18)*a**(-1/3)*a**(-4)*a**6/(a*a**(-3)) assuming a is positive.\n' | b'a**(-31/21)\n' | b'Simplify (a**(2/7)/(a*a**(-2)*a))**(-18)*a**(-1/3)*a**(-4)*a**6/(a*a**(-3)) assuming a is positive.\n' | b'a**(-31/21)\n' | deepmind/math_dataset |
b'Let x = 5 + -15. Let o(s) = 0*s - 12 - 1 - s. Let d be o(x). Let l(a) = -3*a. What is l(d)?\n' | b'9\n' | b'Let x = 5 + -15. Let o(s) = 0*s - 12 - 1 - s. Let d be o(x). Let l(a) = -3*a. What is l(d)?\n' | b'9\n' | deepmind/math_dataset |
b'Let c = 272 + -261. Let i(t) be the third derivative of -t**6/120 + t**5/5 - t**4/2 + 2*t**3/3 - 3*t**2. What is i(c)?\n' | b'-7\n' | b'Let c = 272 + -261. Let i(t) be the third derivative of -t**6/120 + t**5/5 - t**4/2 + 2*t**3/3 - 3*t**2. What is i(c)?\n' | b'-7\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 g when three letters picked without replacement from {m: 1, s: 1, h: 1, g: 3, a: 1}.\n' | b'1/35\n' | b'Calculate prob of picking 3 g when three letters picked without replacement from {m: 1, s: 1, h: 1, g: 3, a: 1}.\n' | b'1/35\n' | deepmind/math_dataset |
b'Suppose -7*g - 78 = -4*g. Let x = 30 - g. Let j(q) = x - 5*q + 3*q**2 - 2*q**2 - 66. Determine j(7).\n' | b'4\n' | b'Suppose -7*g - 78 = -4*g. Let x = 30 - g. Let j(q) = x - 5*q + 3*q**2 - 2*q**2 - 66. Determine j(7).\n' | b'4\n' | deepmind/math_dataset |
b'Suppose -9*b = -14*b + 50. Let d(j) = -18*j - 9 - j + b. Calculate d(1).\n' | b'-18\n' | b'Suppose -9*b = -14*b + 50. Let d(j) = -18*j - 9 - j + b. Calculate d(1).\n' | b'-18\n' | deepmind/math_dataset |
b'Simplify (a/(a*a**(1/3)/a))**9*(a/(a/(a/a**(1/3))))**(8/3) assuming a is positive.\n' | b'a**(70/9)\n' | b'Simplify (a/(a*a**(1/3)/a))**9*(a/(a/(a/a**(1/3))))**(8/3) assuming a is positive.\n' | b'a**(70/9)\n' | deepmind/math_dataset |
b'What is prob of sequence uw when two letters picked without replacement from zyuuzwguuuyuyyzzu?\n' | b'7/272\n' | b'What is prob of sequence uw when two letters picked without replacement from zyuuzwguuuyuyyzzu?\n' | b'7/272\n' | deepmind/math_dataset |
b'What is prob of sequence keee when four letters picked without replacement from {k: 7, e: 9}?\n' | b'21/260\n' | b'What is prob of sequence keee when four letters picked without replacement from {k: 7, e: 9}?\n' | b'21/260\n' | deepmind/math_dataset |
b'Let z(v) = -1725*v**3 - 22*v**2 + 15*v + 94. Let b(o) = 345*o**3 + 4*o**2 - 3*o - 18. Let u(k) = -22*b(k) - 4*z(k). Find the second derivative of u(h) wrt h.\n' | b'-4140*h\n' | b'Let z(v) = -1725*v**3 - 22*v**2 + 15*v + 94. Let b(o) = 345*o**3 + 4*o**2 - 3*o - 18. Let u(k) = -22*b(k) - 4*z(k). Find the second derivative of u(h) wrt h.\n' | b'-4140*h\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ayyyyabybyynnybbyyn. What is prob of sequence nn?\n' | b'1/57\n' | b'Two letters picked without replacement from ayyyyabybyynnybbyyn. What is prob of sequence nn?\n' | b'1/57\n' | deepmind/math_dataset |
b'Simplify (s**10/(s**(-4/7)/s))/((s/(s*s/(s/s**(1/7)*s*s*s)*s))/s)**(1/12) assuming s is positive.\n' | b's**(23/2)\n' | b'Simplify (s**10/(s**(-4/7)/s))/((s/(s*s/(s/s**(1/7)*s*s*s)*s))/s)**(1/12) assuming s is positive.\n' | b's**(23/2)\n' | deepmind/math_dataset |
b'Let p(g) = 6*g + 73. Let t be p(-11). Let i(k) = -t*k + 2*k**2 + 2*k + 4*k + 14*k**2. Calculate i(-1).\n' | b'17\n' | b'Let p(g) = 6*g + 73. Let t be p(-11). Let i(k) = -t*k + 2*k**2 + 2*k + 4*k + 14*k**2. Calculate i(-1).\n' | b'17\n' | deepmind/math_dataset |
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