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'What is prob of sequence iad when three letters picked without replacement from udanbibinuin?\n' | b'1/440\n' | b'What is prob of sequence iad when three letters picked without replacement from udanbibinuin?\n' | b'1/440\n' | deepmind/math_dataset |
b'Let l = -1 - -5. Find the second derivative of -26*b**l - 35*b**4 + 12*b + 71*b**4 wrt b.\n' | b'120*b**2\n' | b'Let l = -1 - -5. Find the second derivative of -26*b**l - 35*b**4 + 12*b + 71*b**4 wrt b.\n' | b'120*b**2\n' | deepmind/math_dataset |
b'Simplify p*p**2*p/(p/(p**(-4/7)*p))*p/(p**5/p)*p**(-1/3) assuming p is positive.\n' | b'p**(2/21)\n' | b'Simplify p*p**2*p/(p/(p**(-4/7)*p))*p/(p**5/p)*p**(-1/3) assuming p is positive.\n' | b'p**(2/21)\n' | deepmind/math_dataset |
b'Suppose 156 = -67*l + 73*l. Solve -3*w + 5*i = -19, -5*i - l = -1 for w.\n' | b'-2\n' | b'Suppose 156 = -67*l + 73*l. Solve -3*w + 5*i = -19, -5*i - l = -1 for w.\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose z - 14 = -12. What is the third derivative of 13*w**2 + 3*w**4 - z*w**2 + 6*w**2 wrt w?\n' | b'72*w\n' | b'Suppose z - 14 = -12. What is the third derivative of 13*w**2 + 3*w**4 - z*w**2 + 6*w**2 wrt w?\n' | b'72*w\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ppllpwlaplplppllppl. Give prob of picking 1 p and 1 l.\n' | b'8/19\n' | b'Two letters picked without replacement from ppllpwlaplplppllppl. Give prob of picking 1 p and 1 l.\n' | b'8/19\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 t, 1 w, and 1 h when three letters picked without replacement from {t: 1, w: 2, h: 7, y: 3, r: 2, a: 3}.\n' | b'7/408\n' | b'Calculate prob of picking 1 t, 1 w, and 1 h when three letters picked without replacement from {t: 1, w: 2, h: 7, y: 3, r: 2, a: 3}.\n' | b'7/408\n' | deepmind/math_dataset |
b'Simplify ((r/(r*r**(2/5)))**5)**(-23) assuming r is positive.\n' | b'r**46\n' | b'Simplify ((r/(r*r**(2/5)))**5)**(-23) assuming r is positive.\n' | b'r**46\n' | deepmind/math_dataset |
b'Simplify ((f*f*f**5)/(f**(-4)*f*f)*(f**(-6)/f)/f**(-4/3))**(-2/55) assuming f is positive.\n' | b'f**(-4/33)\n' | b'Simplify ((f*f*f**5)/(f**(-4)*f*f)*(f**(-6)/f)/f**(-4/3))**(-2/55) assuming f is positive.\n' | b'f**(-4/33)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from rlrnzrl. Give prob of picking 1 n and 3 r.\n' | b'1/35\n' | b'Four letters picked without replacement from rlrnzrl. Give prob of picking 1 n and 3 r.\n' | b'1/35\n' | deepmind/math_dataset |
b'Suppose -2*w + 8 = -2*y, -1 + 5 = -5*y + w. Suppose -4*m - 3*r + y*r = -35, 5*r = -5*m + 50. Solve -2*d - 8 = -j, 15 = m*j - 2*d - 9 for j.\n' | b'4\n' | b'Suppose -2*w + 8 = -2*y, -1 + 5 = -5*y + w. Suppose -4*m - 3*r + y*r = -35, 5*r = -5*m + 50. Solve -2*d - 8 = -j, 15 = m*j - 2*d - 9 for j.\n' | b'4\n' | deepmind/math_dataset |
b'Let b = -4 + 8. Suppose 342 = 15*f - 273. Let h(g) = -f*g + g**2 - 49*g - 45*g + 131*g - 1. Determine h(b).\n' | b'-1\n' | b'Let b = -4 + 8. Suppose 342 = 15*f - 273. Let h(g) = -f*g + g**2 - 49*g - 45*g + 131*g - 1. Determine h(b).\n' | b'-1\n' | deepmind/math_dataset |
b'What is prob of sequence av when two letters picked without replacement from vxffvvxava?\n' | b'4/45\n' | b'What is prob of sequence av when two letters picked without replacement from vxffvvxava?\n' | b'4/45\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 x and 2 z when four letters picked without replacement from xxxxxxzzxxxxxzxx.\n' | b'9/70\n' | b'Calculate prob of picking 2 x and 2 z when four letters picked without replacement from xxxxxxzzxxxxxzxx.\n' | b'9/70\n' | deepmind/math_dataset |
b'Simplify ((v**(-1))**(-47))**(-3/25)*v*v**(-4)/v*v*v**(-4)*v*(v**(-1))**(-2/65) assuming v is positive.\n' | b'v**(-3773/325)\n' | b'Simplify ((v**(-1))**(-47))**(-3/25)*v*v**(-4)/v*v*v**(-4)*v*(v**(-1))**(-2/65) assuming v is positive.\n' | b'v**(-3773/325)\n' | deepmind/math_dataset |
b'Find the second derivative of -8*v - 3*v**4 + 0*v**4 - 3*v**4 - 2*v**4 wrt v.\n' | b'-96*v**2\n' | b'Find the second derivative of -8*v - 3*v**4 + 0*v**4 - 3*v**4 - 2*v**4 wrt v.\n' | b'-96*v**2\n' | deepmind/math_dataset |
b'Let f(w) = 17*w + 26*w + 4 - 39*w. Calculate f(4).\n' | b'20\n' | b'Let f(w) = 17*w + 26*w + 4 - 39*w. Calculate f(4).\n' | b'20\n' | deepmind/math_dataset |
b'Let c be -1 + 0 + (-11)/(-11). Solve 5*i - 5*w - 1 = -2*w, c = -i + 5*w + 9 for i.\n' | b'-1\n' | b'Let c be -1 + 0 + (-11)/(-11). Solve 5*i - 5*w - 1 = -2*w, c = -i + 5*w + 9 for i.\n' | b'-1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from egeegge. Give prob of picking 4 e.\n' | b'1/35\n' | b'Four letters picked without replacement from egeegge. Give prob of picking 4 e.\n' | b'1/35\n' | deepmind/math_dataset |
b'Simplify (f/(f**(-13)/f*f))**(9/5)*((f**(-23)*f)/f)/((f/(f*f*(f*f**(2/9))/f))/f) assuming f is positive.\n' | b'f**(199/45)\n' | b'Simplify (f/(f**(-13)/f*f))**(9/5)*((f**(-23)*f)/f)/((f/(f*f*(f*f**(2/9))/f))/f) assuming f is positive.\n' | b'f**(199/45)\n' | deepmind/math_dataset |
b'Let x(m) = -5*m - 13. Let y be 32/8 + 2/2. Let j(r) = 6*r + 14. Let o(p) = y*x(p) + 4*j(p). Let l be o(-11). Solve n + l*u = -1 - 1, 5*n + 3 = -3*u for n.\n' | b'0\n' | b'Let x(m) = -5*m - 13. Let y be 32/8 + 2/2. Let j(r) = 6*r + 14. Let o(p) = y*x(p) + 4*j(p). Let l be o(-11). Solve n + l*u = -1 - 1, 5*n + 3 = -3*u for n.\n' | b'0\n' | deepmind/math_dataset |
b'What is prob of picking 1 x and 2 z when three letters picked without replacement from {z: 7, x: 2, o: 4}?\n' | b'21/143\n' | b'What is prob of picking 1 x and 2 z when three letters picked without replacement from {z: 7, x: 2, o: 4}?\n' | b'21/143\n' | deepmind/math_dataset |
b'Simplify ((n*n**(-4/17)/n*n*n*n)/n**24)/(n**4)**50 assuming n is positive.\n' | b'n**(-3761/17)\n' | b'Simplify ((n*n**(-4/17)/n*n*n*n)/n**24)/(n**4)**50 assuming n is positive.\n' | b'n**(-3761/17)\n' | deepmind/math_dataset |
b'Calculate prob of sequence yv when two letters picked without replacement from yyyvyvyyyyyy.\n' | b'5/33\n' | b'Calculate prob of sequence yv when two letters picked without replacement from yyyvyvyyyyyy.\n' | b'5/33\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 w and 1 c when two letters picked without replacement from {p: 1, s: 1, c: 2, h: 3, f: 3, w: 1}.\n' | b'2/55\n' | b'Calculate prob of picking 1 w and 1 c when two letters picked without replacement from {p: 1, s: 1, c: 2, h: 3, f: 3, w: 1}.\n' | b'2/55\n' | deepmind/math_dataset |
b'What is prob of picking 2 l when two letters picked without replacement from {l: 8, n: 2}?\n' | b'28/45\n' | b'What is prob of picking 2 l when two letters picked without replacement from {l: 8, n: 2}?\n' | b'28/45\n' | deepmind/math_dataset |
b'Let l(t) be the first derivative of 10*t**6 - 19*t**2 + 43. Find the second derivative of l(z) wrt z.\n' | b'1200*z**3\n' | b'Let l(t) be the first derivative of 10*t**6 - 19*t**2 + 43. Find the second derivative of l(z) wrt z.\n' | b'1200*z**3\n' | deepmind/math_dataset |
b'Let y(p) = 0 + 5*p - 2*p + 8*p**2 - 5*p + 1. Calculate y(1).\n' | b'7\n' | b'Let y(p) = 0 + 5*p - 2*p + 8*p**2 - 5*p + 1. Calculate y(1).\n' | b'7\n' | deepmind/math_dataset |
b'Let l(r) be the third derivative of 369*r**4/8 - 629*r**3 - 25*r**2 + 22*r + 3. Differentiate l(b) wrt b.\n' | b'1107\n' | b'Let l(r) be the third derivative of 369*r**4/8 - 629*r**3 - 25*r**2 + 22*r + 3. Differentiate l(b) wrt b.\n' | b'1107\n' | deepmind/math_dataset |
b'Simplify (((o**(2/5)/o)/o)/o*o)/o*o**(11/6)*(((o*(o/o**(-5))/o)/o)/o*o)**(-7/3) assuming o is positive.\n' | b'o**(-373/30)\n' | b'Simplify (((o**(2/5)/o)/o)/o*o)/o*o**(11/6)*(((o*(o/o**(-5))/o)/o)/o*o)**(-7/3) assuming o is positive.\n' | b'o**(-373/30)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {f: 13, n: 5}. What is prob of picking 2 n?\n' | b'10/153\n' | b'Two letters picked without replacement from {f: 13, n: 5}. What is prob of picking 2 n?\n' | b'10/153\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {o: 5, z: 11}. Give prob of picking 3 z and 1 o.\n' | b'165/364\n' | b'Four letters picked without replacement from {o: 5, z: 11}. Give prob of picking 3 z and 1 o.\n' | b'165/364\n' | deepmind/math_dataset |
b'Suppose j + 4 = 2*r + r, -2*j + 4 = -2*r. Differentiate 6 - 3*f**3 + 5*f**3 - 6*f**r wrt f.\n' | b'-12*f**2\n' | b'Suppose j + 4 = 2*r + r, -2*j + 4 = -2*r. Differentiate 6 - 3*f**3 + 5*f**3 - 6*f**r wrt f.\n' | b'-12*f**2\n' | deepmind/math_dataset |
b'Let u(v) = 21*v + 11*v**2 - 1 - 5*v - 14*v - 2*v**2. What is u(1)?\n' | b'10\n' | b'Let u(v) = 21*v + 11*v**2 - 1 - 5*v - 14*v - 2*v**2. What is u(1)?\n' | b'10\n' | deepmind/math_dataset |
b'Suppose 3*w - 51 + 18 = 0. Solve -2*h - 1 = -v - w, 25 = -4*v + 5*h for v.\n' | b'0\n' | b'Suppose 3*w - 51 + 18 = 0. Solve -2*h - 1 = -v - w, 25 = -4*v + 5*h for v.\n' | b'0\n' | deepmind/math_dataset |
b'Calculate prob of sequence qpp when three letters picked without replacement from spppq.\n' | b'1/10\n' | b'Calculate prob of sequence qpp when three letters picked without replacement from spppq.\n' | b'1/10\n' | deepmind/math_dataset |
b'Let u(x) = x**3 + 11*x**2 + 12*x + 24. Let m be u(-10). Let d(z) = 19*z + 8. Let p(r) = -7*r - 3. Let g(y) = m*d(y) + 11*p(y). Give g(-2).\n' | b'1\n' | b'Let u(x) = x**3 + 11*x**2 + 12*x + 24. Let m be u(-10). Let d(z) = 19*z + 8. Let p(r) = -7*r - 3. Let g(y) = m*d(y) + 11*p(y). Give g(-2).\n' | b'1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from wuuwwuuwuw. What is prob of picking 1 u and 2 w?\n' | b'5/12\n' | b'Three letters picked without replacement from wuuwwuuwuw. What is prob of picking 1 u and 2 w?\n' | b'5/12\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {m: 4, h: 3}. What is prob of picking 3 m and 1 h?\n' | b'12/35\n' | b'Four letters picked without replacement from {m: 4, h: 3}. What is prob of picking 3 m and 1 h?\n' | b'12/35\n' | deepmind/math_dataset |
b'Let t(m) = 6*m - 2*m**2 - m**3 - 3 + 4*m**2 + m**2 - 2. Suppose -2*w + 4 + 4 = 0. Give t(w).\n' | b'3\n' | b'Let t(m) = 6*m - 2*m**2 - m**3 - 3 + 4*m**2 + m**2 - 2. Suppose -2*w + 4 + 4 = 0. Give t(w).\n' | b'3\n' | deepmind/math_dataset |
b'Let g(p) = 2*p**2 + 3*p - 7. Let l(q) = -8655*q**2 + 12*q + 1459. Let a(h) = -4*g(h) + l(h). Differentiate a(s) with respect to s.\n' | b'-17326*s\n' | b'Let g(p) = 2*p**2 + 3*p - 7. Let l(q) = -8655*q**2 + 12*q + 1459. Let a(h) = -4*g(h) + l(h). Differentiate a(s) with respect to s.\n' | b'-17326*s\n' | deepmind/math_dataset |
b'Suppose 0 = -j + 5*u - 3 + 5, u = 3*j - 20. Let q be j/(35/(-50)) + 2. Let r be 4/(-16) + 3 + (-66)/q. Solve -v = -2, 2*f = -f + 2*v + r for f.\n' | b'5\n' | b'Suppose 0 = -j + 5*u - 3 + 5, u = 3*j - 20. Let q be j/(35/(-50)) + 2. Let r be 4/(-16) + 3 + (-66)/q. Solve -v = -2, 2*f = -f + 2*v + r for f.\n' | b'5\n' | deepmind/math_dataset |
b'Simplify (x**(3/14)*x**(1/3))/((x**(3/2)/x)/x*x*x*x*x**(-1/19)) assuming x is positive.\n' | b'x**(-758/399)\n' | b'Simplify (x**(3/14)*x**(1/3))/((x**(3/2)/x)/x*x*x*x*x**(-1/19)) assuming x is positive.\n' | b'x**(-758/399)\n' | deepmind/math_dataset |
b'Simplify (t/t**(-2/15)*t)/((t/t**6)/t)*t*t**3*t**(6/13) assuming t is positive.\n' | b't**(2456/195)\n' | b'Simplify (t/t**(-2/15)*t)/((t/t**6)/t)*t*t**3*t**(6/13) assuming t is positive.\n' | b't**(2456/195)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from lhghlglghhhlh. Give prob of picking 1 l and 1 g.\n' | b'2/13\n' | b'Two letters picked without replacement from lhghlglghhhlh. Give prob of picking 1 l and 1 g.\n' | b'2/13\n' | deepmind/math_dataset |
b'Three letters picked without replacement from vivvvvvviiviiiiv. What is prob of sequence vvv?\n' | b'3/20\n' | b'Three letters picked without replacement from vivvvvvviiviiiiv. What is prob of sequence vvv?\n' | b'3/20\n' | deepmind/math_dataset |
b'Let y(a) be the third derivative of 3505*a**4/24 + 230*a**3/3 - 5886*a**2. What is the derivative of y(k) wrt k?\n' | b'3505\n' | b'Let y(a) be the third derivative of 3505*a**4/24 + 230*a**3/3 - 5886*a**2. What is the derivative of y(k) wrt k?\n' | b'3505\n' | deepmind/math_dataset |
b'What is prob of picking 1 l and 1 e when two letters picked without replacement from lefellu?\n' | b'2/7\n' | b'What is prob of picking 1 l and 1 e when two letters picked without replacement from lefellu?\n' | b'2/7\n' | deepmind/math_dataset |
b'Four letters picked without replacement from pssssssssssssss. Give prob of sequence spss.\n' | b'1/15\n' | b'Four letters picked without replacement from pssssssssssssss. Give prob of sequence spss.\n' | b'1/15\n' | deepmind/math_dataset |
b'Let q(j) be the third derivative of 11*j**6/20 - 17*j**5/10 - j**3/3 - 5*j**2 + 24. Find the third derivative of q(i) wrt i.\n' | b'396\n' | b'Let q(j) be the third derivative of 11*j**6/20 - 17*j**5/10 - j**3/3 - 5*j**2 + 24. Find the third derivative of q(i) wrt i.\n' | b'396\n' | deepmind/math_dataset |
b'Let p(z) = -z**2 + 18*z + 2940. Let o be p(-46). Let a(l) = -3*l. Let d(k) = 3*k - 1. Let g(b) = 4*a(b) + 3*d(b). What is g(o)?\n' | b'9\n' | b'Let p(z) = -z**2 + 18*z + 2940. Let o be p(-46). Let a(l) = -3*l. Let d(k) = 3*k - 1. Let g(b) = 4*a(b) + 3*d(b). What is g(o)?\n' | b'9\n' | deepmind/math_dataset |
b'Let b be ((-2)/5)/((-1)/(-605)). Let y be (-2)/5 + b/(-55). Solve y*t + 3*q = 3*t - 18, 0 = -4*t - 4*q - 32 for t.\n' | b'-3\n' | b'Let b be ((-2)/5)/((-1)/(-605)). Let y be (-2)/5 + b/(-55). Solve y*t + 3*q = 3*t - 18, 0 = -4*t - 4*q - 32 for t.\n' | b'-3\n' | deepmind/math_dataset |
b'Suppose 0*w + 20 = 4*w. Suppose 0 = -0*b - w*b + 5. What is the first derivative of -1 + b + 2*u - 2 wrt u?\n' | b'2\n' | b'Suppose 0*w + 20 = 4*w. Suppose 0 = -0*b - w*b + 5. What is the first derivative of -1 + b + 2*u - 2 wrt u?\n' | b'2\n' | deepmind/math_dataset |
b'Let j(y) = -2*y**2 + 12*y + 24. Suppose 6*a + 435 = 162*a - 1125. Determine j(a).\n' | b'-56\n' | b'Let j(y) = -2*y**2 + 12*y + 24. Suppose 6*a + 435 = 162*a - 1125. Determine j(a).\n' | b'-56\n' | deepmind/math_dataset |
b'What is the third derivative of -8*t**6 - 379*t**2 + 268*t**2 + 370*t**2 + 8*t**3 wrt t?\n' | b'-960*t**3 + 48\n' | b'What is the third derivative of -8*t**6 - 379*t**2 + 268*t**2 + 370*t**2 + 8*t**3 wrt t?\n' | b'-960*t**3 + 48\n' | deepmind/math_dataset |
b'Simplify (o**(1/7))**26 assuming o is positive.\n' | b'o**(26/7)\n' | b'Simplify (o**(1/7))**26 assuming o is positive.\n' | b'o**(26/7)\n' | deepmind/math_dataset |
b'Simplify b**(-20)*b*b**(-17) assuming b is positive.\n' | b'b**(-36)\n' | b'Simplify b**(-20)*b*b**(-17) assuming b is positive.\n' | b'b**(-36)\n' | deepmind/math_dataset |
b'Let d(b) = -74*b - 13. Let y(a) = -136*a - 23. Let v(l) = -9*d(l) + 5*y(l). Give v(1).\n' | b'-12\n' | b'Let d(b) = -74*b - 13. Let y(a) = -136*a - 23. Let v(l) = -9*d(l) + 5*y(l). Give v(1).\n' | b'-12\n' | deepmind/math_dataset |
b'Simplify (k/k**(3/2))**(-41) assuming k is positive.\n' | b'k**(41/2)\n' | b'Simplify (k/k**(3/2))**(-41) assuming k is positive.\n' | b'k**(41/2)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {f: 5, p: 2}. What is prob of sequence fff?\n' | b'2/7\n' | b'Three letters picked without replacement from {f: 5, p: 2}. What is prob of sequence fff?\n' | b'2/7\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ecckkcc. What is prob of picking 1 k and 3 c?\n' | b'8/35\n' | b'Four letters picked without replacement from ecckkcc. What is prob of picking 1 k and 3 c?\n' | b'8/35\n' | deepmind/math_dataset |
b'Suppose 34 = -0*a + 17*a. What is the third derivative of 25*s - 27*s - 32*s**3 + 2*s + 32*s**a wrt s?\n' | b'-192\n' | b'Suppose 34 = -0*a + 17*a. What is the third derivative of 25*s - 27*s - 32*s**3 + 2*s + 32*s**a wrt s?\n' | b'-192\n' | deepmind/math_dataset |
b'Let w(y) be the third derivative of 5327*y**5/60 - 403*y**3 + 619*y**2 + 2*y + 2. What is the first derivative of w(i) wrt i?\n' | b'10654*i\n' | b'Let w(y) be the third derivative of 5327*y**5/60 - 403*y**3 + 619*y**2 + 2*y + 2. What is the first derivative of w(i) wrt i?\n' | b'10654*i\n' | deepmind/math_dataset |
b'What is prob of sequence mnb when three letters picked without replacement from onmmmdobmnbnambmm?\n' | b'21/1360\n' | b'What is prob of sequence mnb when three letters picked without replacement from onmmmdobmnbnambmm?\n' | b'21/1360\n' | deepmind/math_dataset |
b'Let c(j) = j**2 - 2. Let o be c(0). Let m(d) be the first derivative of -d**3 - 3*d**2/2 + 6. Determine m(o).\n' | b'-6\n' | b'Let c(j) = j**2 - 2. Let o be c(0). Let m(d) be the first derivative of -d**3 - 3*d**2/2 + 6. Determine m(o).\n' | b'-6\n' | deepmind/math_dataset |
b'Simplify (y*(y**(-2/13)/y)/y*y*y/y**(4/7)*(y*y**(1/3)/y)/y*y**6)/((y**(-2/3)*y)/y**(6/11))**(-16) assuming y is positive.\n' | b'y**(6649/3003)\n' | b'Simplify (y*(y**(-2/13)/y)/y*y*y/y**(4/7)*(y*y**(1/3)/y)/y*y**6)/((y**(-2/3)*y)/y**(6/11))**(-16) assuming y is positive.\n' | b'y**(6649/3003)\n' | deepmind/math_dataset |
b'Simplify (z**13*z)/z**9*(z**(-1/19))**(8/3) assuming z is positive.\n' | b'z**(277/57)\n' | b'Simplify (z**13*z)/z**9*(z**(-1/19))**(8/3) assuming z is positive.\n' | b'z**(277/57)\n' | deepmind/math_dataset |
b'Calculate prob of sequence elee when four letters picked without replacement from {l: 3, e: 9}.\n' | b'7/55\n' | b'Calculate prob of sequence elee when four letters picked without replacement from {l: 3, e: 9}.\n' | b'7/55\n' | deepmind/math_dataset |
b'Let d(g) be the first derivative of 9*g**4/4 - g**2/2 + 2*g - 4. Let a be d(1). Suppose -a*c = -9*c. Solve 0 = -4*i - 4*o, 3*i + 2 + c = -2*o for i.\n' | b'-2\n' | b'Let d(g) be the first derivative of 9*g**4/4 - g**2/2 + 2*g - 4. Let a be d(1). Suppose -a*c = -9*c. Solve 0 = -4*i - 4*o, 3*i + 2 + c = -2*o for i.\n' | b'-2\n' | deepmind/math_dataset |
b'Let u(j) = -j**2 - 9160*j + 27501. Let s be u(3). Let v = -1 + 1. Solve v = 4*n + 5*a - s, -8*n + 3*n + 15 = 2*a for n.\n' | b'3\n' | b'Let u(j) = -j**2 - 9160*j + 27501. Let s be u(3). Let v = -1 + 1. Solve v = 4*n + 5*a - s, -8*n + 3*n + 15 = 2*a for n.\n' | b'3\n' | deepmind/math_dataset |
b'What is prob of picking 1 t and 1 q when two letters picked without replacement from nybnqtynnnyqnnnny?\n' | b'1/68\n' | b'What is prob of picking 1 t and 1 q when two letters picked without replacement from nybnqtynnnyqnnnny?\n' | b'1/68\n' | deepmind/math_dataset |
b'What is prob of sequence qvq when three letters picked without replacement from qvqxqqqqg?\n' | b'5/84\n' | b'What is prob of sequence qvq when three letters picked without replacement from qvqxqqqqg?\n' | b'5/84\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ltfyyhhfyfh. What is prob of sequence ylf?\n' | b'1/110\n' | b'Three letters picked without replacement from ltfyyhhfyfh. What is prob of sequence ylf?\n' | b'1/110\n' | deepmind/math_dataset |
b'Simplify (v/(v*v**(-18)))/(v**(-8/5)/v) assuming v is positive.\n' | b'v**(103/5)\n' | b'Simplify (v/(v*v**(-18)))/(v**(-8/5)/v) assuming v is positive.\n' | b'v**(103/5)\n' | deepmind/math_dataset |
b'Simplify (z**(-2/5)*z)**(-2/19)/(z**(-1)/z**(-6))*(z**1/z)**45*z**(-5)*z*z*z*z*z**(-1/4) assuming z is positive.\n' | b'z**(-2399/380)\n' | b'Simplify (z**(-2/5)*z)**(-2/19)/(z**(-1)/z**(-6))*(z**1/z)**45*z**(-5)*z*z*z*z*z**(-1/4) assuming z is positive.\n' | b'z**(-2399/380)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from xyaayykaykxoaaxykk. Give prob of picking 1 a, 1 o, 1 x, and 1 k.\n' | b'1/51\n' | b'Four letters picked without replacement from xyaayykaykxoaaxykk. Give prob of picking 1 a, 1 o, 1 x, and 1 k.\n' | b'1/51\n' | deepmind/math_dataset |
b'Let t = -1 + 3. Let d = 2 + t. Solve 4*j + 0*c + c + 12 = 0, 4*c + 12 = -d*j for j.\n' | b'-3\n' | b'Let t = -1 + 3. Let d = 2 + t. Solve 4*j + 0*c + c + 12 = 0, 4*c + 12 = -d*j for j.\n' | b'-3\n' | deepmind/math_dataset |
b'Suppose 36 = -2*d + 6*d. Suppose 4*x + 20 = -4*b, -x - 4*x = b + d. Let p be 123/5 + b/(-10). Solve -2*r + 18 = c + 4*c, 5*r + p = 5*c for c.\n' | b'4\n' | b'Suppose 36 = -2*d + 6*d. Suppose 4*x + 20 = -4*b, -x - 4*x = b + d. Let p be 123/5 + b/(-10). Solve -2*r + 18 = c + 4*c, 5*r + p = 5*c for c.\n' | b'4\n' | deepmind/math_dataset |
b'Let b(i) = -2*i**3 + 2*i**2 + 4*i**3 + 3 - i**3 - 2*i. Let t be b(2). Solve -4*z - 10 = -2*l, 0*z - t = 3*z for l.\n' | b'-5\n' | b'Let b(i) = -2*i**3 + 2*i**2 + 4*i**3 + 3 - i**3 - 2*i. Let t be b(2). Solve -4*z - 10 = -2*l, 0*z - t = 3*z for l.\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose n + 12 = 5*n. Find the second derivative of g + 3*g - 2*g - 3*g**n wrt g.\n' | b'-18*g\n' | b'Suppose n + 12 = 5*n. Find the second derivative of g + 3*g - 2*g - 3*g**n wrt g.\n' | b'-18*g\n' | deepmind/math_dataset |
b'Let o = 176 + -179. Let f(z) = z + 6. Let w be f(o). Solve 12 = -2*l - l + 3*s, -w*l + s - 8 = 0 for l.\n' | b'-2\n' | b'Let o = 176 + -179. Let f(z) = z + 6. Let w be f(o). Solve 12 = -2*l - l + 3*s, -w*l + s - 8 = 0 for l.\n' | b'-2\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 a and 1 t when two letters picked without replacement from jaajaajatja.\n' | b'6/55\n' | b'Calculate prob of picking 1 a and 1 t when two letters picked without replacement from jaajaajatja.\n' | b'6/55\n' | deepmind/math_dataset |
b'Two letters picked without replacement from jojjjoojjeojjzojosjz. Give prob of picking 1 o and 1 j.\n' | b'6/19\n' | b'Two letters picked without replacement from jojjjoojjeojjzojosjz. Give prob of picking 1 o and 1 j.\n' | b'6/19\n' | deepmind/math_dataset |
b'Let a be 4/22 + 20/11. Find the third derivative of a*g**2 - 7*g**4 + 2*g**4 + 4*g**4 wrt g.\n' | b'-24*g\n' | b'Let a be 4/22 + 20/11. Find the third derivative of a*g**2 - 7*g**4 + 2*g**4 + 4*g**4 wrt g.\n' | b'-24*g\n' | deepmind/math_dataset |
b'Simplify (y*(y*(y**(-1/12)*y)/y)/y)**(22/9)/((y*y**(-1/32)/y*y)/(y/y**(1/18))) assuming y is positive.\n' | b'y**(1915/864)\n' | b'Simplify (y*(y*(y**(-1/12)*y)/y)/y)**(22/9)/((y*y**(-1/32)/y*y)/(y/y**(1/18))) assuming y is positive.\n' | b'y**(1915/864)\n' | deepmind/math_dataset |
b'Let j = -57 + 59. Solve k = 4*y - 3*y + j, -k = 1 for y.\n' | b'-3\n' | b'Let j = -57 + 59. Solve k = 4*y - 3*y + j, -k = 1 for y.\n' | b'-3\n' | deepmind/math_dataset |
b'Let c(q) be the first derivative of -47 - 25*q - 15/2*q**2. Find the first derivative of c(w) wrt w.\n' | b'-15\n' | b'Let c(q) be the first derivative of -47 - 25*q - 15/2*q**2. Find the first derivative of c(w) wrt w.\n' | b'-15\n' | deepmind/math_dataset |
b'Simplify ((k**(-6)*k)**(-1/21))**(3/13) assuming k is positive.\n' | b'k**(5/91)\n' | b'Simplify ((k**(-6)*k)**(-1/21))**(3/13) assuming k is positive.\n' | b'k**(5/91)\n' | deepmind/math_dataset |
b'Find the second derivative of -287*n + 51*n**5 - 48*n**5 - 234*n**3 + 233*n**3 wrt n.\n' | b'60*n**3 - 6*n\n' | b'Find the second derivative of -287*n + 51*n**5 - 48*n**5 - 234*n**3 + 233*n**3 wrt n.\n' | b'60*n**3 - 6*n\n' | deepmind/math_dataset |
b'Let w(c) = -c**3 + c**2 + c. Let k(b) = -33*b**3 - b**2 + 57*b. Let q(p) = k(p) + w(p). What is the second derivative of q(d) wrt d?\n' | b'-204*d\n' | b'Let w(c) = -c**3 + c**2 + c. Let k(b) = -33*b**3 - b**2 + 57*b. Let q(p) = k(p) + w(p). What is the second derivative of q(d) wrt d?\n' | b'-204*d\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {e: 2, w: 1, m: 1}. What is prob of picking 1 e and 1 w?\n' | b'1/3\n' | b'Two letters picked without replacement from {e: 2, w: 1, m: 1}. What is prob of picking 1 e and 1 w?\n' | b'1/3\n' | deepmind/math_dataset |
b'Differentiate -3683 + 509*m**3 + 104*m**3 - 135*m**3 - 97*m**3 + 429*m**3 wrt m.\n' | b'2430*m**2\n' | b'Differentiate -3683 + 509*m**3 + 104*m**3 - 135*m**3 - 97*m**3 + 429*m**3 wrt m.\n' | b'2430*m**2\n' | deepmind/math_dataset |
b'Find the third derivative of -222*o**4 + 18*o**3 + 0 + 194*o**4 + 744*o**2 + 0 wrt o.\n' | b'-672*o + 108\n' | b'Find the third derivative of -222*o**4 + 18*o**3 + 0 + 194*o**4 + 744*o**2 + 0 wrt o.\n' | b'-672*o + 108\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {w: 4, n: 4, k: 3, t: 7}. Give prob of picking 3 w and 1 t.\n' | b'7/765\n' | b'Four letters picked without replacement from {w: 4, n: 4, k: 3, t: 7}. Give prob of picking 3 w and 1 t.\n' | b'7/765\n' | deepmind/math_dataset |
b'What is prob of sequence yzyz when four letters picked without replacement from {y: 2, z: 3}?\n' | b'1/10\n' | b'What is prob of sequence yzyz when four letters picked without replacement from {y: 2, z: 3}?\n' | b'1/10\n' | deepmind/math_dataset |
b'Simplify k**(-1/12)*k**22 assuming k is positive.\n' | b'k**(263/12)\n' | b'Simplify k**(-1/12)*k**22 assuming k is positive.\n' | b'k**(263/12)\n' | deepmind/math_dataset |
b'Let w be (-16)/((3 + -1)*-1). Suppose 5*c + w = c. Let l(h) = 0 + 1 + 2 + 2*h. Give l(c).\n' | b'-1\n' | b'Let w be (-16)/((3 + -1)*-1). Suppose 5*c + w = c. Let l(h) = 0 + 1 + 2 + 2*h. Give l(c).\n' | b'-1\n' | deepmind/math_dataset |
b'Let i(n) be the first derivative of 0*n - 202 - 5*n**4 + 1/5*n**5 - 26/3*n**3 + 0*n**2. What is the third derivative of i(b) wrt b?\n' | b'24*b - 120\n' | b'Let i(n) be the first derivative of 0*n - 202 - 5*n**4 + 1/5*n**5 - 26/3*n**3 + 0*n**2. What is the third derivative of i(b) wrt b?\n' | b'24*b - 120\n' | deepmind/math_dataset |
b'Let g(d) be the second derivative of 5*d - 1/6*d**3 + 1/2*d**2 + 0. Let p = -109 - -109. Calculate g(p).\n' | b'1\n' | b'Let g(d) be the second derivative of 5*d - 1/6*d**3 + 1/2*d**2 + 0. Let p = -109 - -109. Calculate g(p).\n' | b'1\n' | deepmind/math_dataset |
b'Let b be -2 + 9 - (-2 + 2). Find the third derivative of b*i**2 + i**2 + 2*i**3 - 3*i**2 - 6*i**3 wrt i.\n' | b'-24\n' | b'Let b be -2 + 9 - (-2 + 2). Find the third derivative of b*i**2 + i**2 + 2*i**3 - 3*i**2 - 6*i**3 wrt i.\n' | b'-24\n' | deepmind/math_dataset |
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