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'Simplify (x**9/(x**(1/5)/x))/(x/x**3)**(-2/47) assuming x is positive.\n' | b'x**(2283/235)\n' | b'Simplify (x**9/(x**(1/5)/x))/(x/x**3)**(-2/47) assuming x is positive.\n' | b'x**(2283/235)\n' | deepmind/math_dataset |
b'Simplify (c*c/c**(-1/4))**(4/13)/(c/(c*c*(c/(c**4*c*c))/c)*c**8)*((c/c**14)/c*c/(c/c**(-6)))**(-23) assuming c is positive.\n' | b'c**(5820/13)\n' | b'Simplify (c*c/c**(-1/4))**(4/13)/(c/(c*c*(c/(c**4*c*c))/c)*c**8)*((c/c**14)/c*c/(c/c**(-6)))**(-23) assuming c is positive.\n' | b'c**(5820/13)\n' | deepmind/math_dataset |
b'Let p(g) = -26448*g**2 - 11*g - 13808. Let o(z) = -19836*z**2 - 8*z - 10363. Let y(m) = -11*o(m) + 8*p(m). What is the first derivative of y(a) wrt a?\n' | b'13224*a\n' | b'Let p(g) = -26448*g**2 - 11*g - 13808. Let o(z) = -19836*z**2 - 8*z - 10363. Let y(m) = -11*o(m) + 8*p(m). What is the first derivative of y(a) wrt a?\n' | b'13224*a\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {g: 1, t: 2, i: 2}. Give prob of picking 1 i and 1 g.\n' | b'1/5\n' | b'Two letters picked without replacement from {g: 1, t: 2, i: 2}. Give prob of picking 1 i and 1 g.\n' | b'1/5\n' | deepmind/math_dataset |
b'Simplify (p**20*p*p/(p*p/(p*p**(2/21))))/(p**(-1/4)/p*p*p**(-1/21)) assuming p is positive.\n' | b'p**(599/28)\n' | b'Simplify (p**20*p*p/(p*p/(p*p**(2/21))))/(p**(-1/4)/p*p*p**(-1/21)) assuming p is positive.\n' | b'p**(599/28)\n' | deepmind/math_dataset |
b'Let g be (-2 + 0)*(2 - (9 + -6)). Let l(t) = 2*t**g + 3 - 10*t**2 + 7*t**2. Calculate l(3).\n' | b'-6\n' | b'Let g be (-2 + 0)*(2 - (9 + -6)). Let l(t) = 2*t**g + 3 - 10*t**2 + 7*t**2. Calculate l(3).\n' | b'-6\n' | deepmind/math_dataset |
b'Four letters picked without replacement from mftvrvb. What is prob of picking 1 f, 1 t, 1 m, and 1 v?\n' | b'2/35\n' | b'Four letters picked without replacement from mftvrvb. What is prob of picking 1 f, 1 t, 1 m, and 1 v?\n' | b'2/35\n' | deepmind/math_dataset |
b'Let s(b) = -17*b - 49. Let n(t) = -17*t - 50. Let p(c) = 2*n(c) - 3*s(c). Let i(z) = -16*z - 46. Let l(k) = 6*i(k) + 5*p(k). Differentiate l(y) wrt y.\n' | b'-11\n' | b'Let s(b) = -17*b - 49. Let n(t) = -17*t - 50. Let p(c) = 2*n(c) - 3*s(c). Let i(z) = -16*z - 46. Let l(k) = 6*i(k) + 5*p(k). Differentiate l(y) wrt y.\n' | b'-11\n' | deepmind/math_dataset |
b'Simplify s**6/(((s*s*s**(-4/15)*s*s)/s)/s) assuming s is positive.\n' | b's**(64/15)\n' | b'Simplify s**6/(((s*s*s**(-4/15)*s*s)/s)/s) assuming s is positive.\n' | b's**(64/15)\n' | deepmind/math_dataset |
b'Simplify (u/(u*u**(-15)/u)*u*u/(u*u**(-1)))/(u*(u*(u*(u/u**1)/u*u)/u)/u)**(-11/5) assuming u is positive.\n' | b'u**(101/5)\n' | b'Simplify (u/(u*u**(-15)/u)*u*u/(u*u**(-1)))/(u*(u*(u*(u/u**1)/u*u)/u)/u)**(-11/5) assuming u is positive.\n' | b'u**(101/5)\n' | deepmind/math_dataset |
b'Let k(g) be the first derivative of -331*g**6/3 + 400*g**3/3 - 260. What is the third derivative of k(t) wrt t?\n' | b'-39720*t**2\n' | b'Let k(g) be the first derivative of -331*g**6/3 + 400*g**3/3 - 260. What is the third derivative of k(t) wrt t?\n' | b'-39720*t**2\n' | deepmind/math_dataset |
b'Simplify (y**(1/4)/y)**(28/3)*y**(-6)*y**(-6) assuming y is positive.\n' | b'y**(-19)\n' | b'Simplify (y**(1/4)/y)**(28/3)*y**(-6)*y**(-6) assuming y is positive.\n' | b'y**(-19)\n' | deepmind/math_dataset |
b'Simplify (((u*(u/u**(-6))/u)/u)/(u*u*u*u**(-2/5)))/(u**(-2/7)*u**4*u)*((u*u/u**5)/(u/(u**4*u)))/(((u**(-1)/u)/u)/u**(2/3)) assuming u is positive.\n' | b'u**(352/105)\n' | b'Simplify (((u*(u/u**(-6))/u)/u)/(u*u*u*u**(-2/5)))/(u**(-2/7)*u**4*u)*((u*u/u**5)/(u/(u**4*u)))/(((u**(-1)/u)/u)/u**(2/3)) assuming u is positive.\n' | b'u**(352/105)\n' | deepmind/math_dataset |
b'What is prob of sequence ee when two letters picked without replacement from eeeebbeb?\n' | b'5/14\n' | b'What is prob of sequence ee when two letters picked without replacement from eeeebbeb?\n' | b'5/14\n' | deepmind/math_dataset |
b'Three letters picked without replacement from xiimixpii. What is prob of picking 1 x, 1 i, and 1 m?\n' | b'5/42\n' | b'Three letters picked without replacement from xiimixpii. What is prob of picking 1 x, 1 i, and 1 m?\n' | b'5/42\n' | deepmind/math_dataset |
b'Let x(b) = b**3 - 17*b**2 + 8*b + 26. Let a be x(19). Suppose 24*t - a = 6*t. Suppose 0*c + 5*c = t. Solve c = -2*r + 2*h, 3*h - 6 = 5*r + 13 for r.\n' | b'-2\n' | b'Let x(b) = b**3 - 17*b**2 + 8*b + 26. Let a be x(19). Suppose 24*t - a = 6*t. Suppose 0*c + 5*c = t. Solve c = -2*r + 2*h, 3*h - 6 = 5*r + 13 for r.\n' | b'-2\n' | deepmind/math_dataset |
b'What is prob of picking 3 n and 1 a when four letters picked without replacement from {a: 1, n: 12}?\n' | b'4/13\n' | b'What is prob of picking 3 n and 1 a when four letters picked without replacement from {a: 1, n: 12}?\n' | b'4/13\n' | deepmind/math_dataset |
b'Simplify (p/(p*p/((p/p**(-6/11))/p)))/(p**33/p)*((p/((p/(p/((p*p*p**7)/p)))/p*p))/p)/p**(-45) assuming p is positive.\n' | b'p**(50/11)\n' | b'Simplify (p/(p*p/((p/p**(-6/11))/p)))/(p**33/p)*((p/((p/(p/((p*p*p**7)/p)))/p*p))/p)/p**(-45) assuming p is positive.\n' | b'p**(50/11)\n' | deepmind/math_dataset |
b'Simplify (w**(-2)/(w**(2/9)*w))**(-30/7)*((w**(-2/9))**(-1/28))**(-47) assuming w is positive.\n' | b'w**(1693/126)\n' | b'Simplify (w**(-2)/(w**(2/9)*w))**(-30/7)*((w**(-2/9))**(-1/28))**(-47) assuming w is positive.\n' | b'w**(1693/126)\n' | deepmind/math_dataset |
b'Suppose -3*n - 3*m + 6 = 0, -2*n = -3*n + 3*m - 18. Let f(d) = -d - 5. What is f(n)?\n' | b'-2\n' | b'Suppose -3*n - 3*m + 6 = 0, -2*n = -3*n + 3*m - 18. Let f(d) = -d - 5. What is f(n)?\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose -9 = -3*z, 3*d - 5*z = -0*d - 3. Let t = 10 - 4. Let l = t - d. Solve l*w - 2*f = -0*w + 12, 0 = 2*w + f for w.\n' | b'2\n' | b'Suppose -9 = -3*z, 3*d - 5*z = -0*d - 3. Let t = 10 - 4. Let l = t - d. Solve l*w - 2*f = -0*w + 12, 0 = 2*w + f for w.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify ((x**(-13))**(-1/8)/(x*(x*x**(-24))/x*x/x**(2/13)))**39 assuming x is positive.\n' | b'x**(7419/8)\n' | b'Simplify ((x**(-13))**(-1/8)/(x*(x*x**(-24))/x*x/x**(2/13)))**39 assuming x is positive.\n' | b'x**(7419/8)\n' | deepmind/math_dataset |
b'Simplify (((g*g**(-3/4))/g*g)/g*g/(g/g**(-6)))/((g*g**(1/3)/g)/g**(1/4)) assuming g is positive.\n' | b'g**(-41/6)\n' | b'Simplify (((g*g**(-3/4))/g*g)/g*g/(g/g**(-6)))/((g*g**(1/3)/g)/g**(1/4)) assuming g is positive.\n' | b'g**(-41/6)\n' | deepmind/math_dataset |
b'Let g(r) = 10*r - 16*r + 2*r - 5. Calculate g(4).\n' | b'-21\n' | b'Let g(r) = 10*r - 16*r + 2*r - 5. Calculate g(4).\n' | b'-21\n' | deepmind/math_dataset |
b'Simplify l**2/(l*l/l**(2/9))*l*l**8*l**(11/3) assuming l is positive.\n' | b'l**(116/9)\n' | b'Simplify l**2/(l*l/l**(2/9))*l*l**8*l**(11/3) assuming l is positive.\n' | b'l**(116/9)\n' | deepmind/math_dataset |
b'Let p(z) = -z + 2. Let m be (-4)/12 + 1/3. Let c be 2/4*(m + 14). Let l = 5 - c. Determine p(l).\n' | b'4\n' | b'Let p(z) = -z + 2. Let m be (-4)/12 + 1/3. Let c be 2/4*(m + 14). Let l = 5 - c. Determine p(l).\n' | b'4\n' | deepmind/math_dataset |
b'Simplify ((q**(1/7)*q*q*q)/q)/((((q/(q*q**4))/q)/q)/q) assuming q is positive.\n' | b'q**(64/7)\n' | b'Simplify ((q**(1/7)*q*q*q)/q)/((((q/(q*q**4))/q)/q)/q) assuming q is positive.\n' | b'q**(64/7)\n' | deepmind/math_dataset |
b'Suppose -77 = -24*d + 115. Suppose t = 4*u - d, 0*t - u + 15 = 3*t. Solve 0 = j + t*c + 17, 3*j = c + 9 + 5 for j.\n' | b'3\n' | b'Suppose -77 = -24*d + 115. Suppose t = 4*u - d, 0*t - u + 15 = 3*t. Solve 0 = j + t*c + 17, 3*j = c + 9 + 5 for j.\n' | b'3\n' | deepmind/math_dataset |
b'Suppose -3 - 3 = -2*g. Solve 2*f - 18 = g*r, 4*r + 28 = 2*f + 6 for r.\n' | b'-4\n' | b'Suppose -3 - 3 = -2*g. Solve 2*f - 18 = g*r, 4*r + 28 = 2*f + 6 for r.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify (c/(c*c**(-5/2)*c)*c)/c**(-38) assuming c is positive.\n' | b'c**(81/2)\n' | b'Simplify (c/(c*c**(-5/2)*c)*c)/c**(-38) assuming c is positive.\n' | b'c**(81/2)\n' | deepmind/math_dataset |
b'Let k(c) be the second derivative of -3/2*c**2 + 0 + c - 1/2*c**3 - 1/6*c**4. Let w(z) = z**3 - 80*z**2 + 82*z - 239. Let a be w(79). Give k(a).\n' | b'-5\n' | b'Let k(c) be the second derivative of -3/2*c**2 + 0 + c - 1/2*c**3 - 1/6*c**4. Let w(z) = z**3 - 80*z**2 + 82*z - 239. Let a be w(79). Give k(a).\n' | b'-5\n' | deepmind/math_dataset |
b'Let v(d) = d + 6. Let b be v(7). Suppose -3*a + b = -11. What is the first derivative of 4*o**3 - a*o - o + 2 + 9*o wrt o?\n' | b'12*o**2\n' | b'Let v(d) = d + 6. Let b be v(7). Suppose -3*a + b = -11. What is the first derivative of 4*o**3 - a*o - o + 2 + 9*o wrt o?\n' | b'12*o**2\n' | deepmind/math_dataset |
b'Let x(l) be the first derivative of -51*l**2/2 - 1272*l + 11938. Give x(-25).\n' | b'3\n' | b'Let x(l) be the first derivative of -51*l**2/2 - 1272*l + 11938. Give x(-25).\n' | b'3\n' | deepmind/math_dataset |
b'Simplify ((d**(-3)/(d*d/d**(-2)))**(2/23))**9 assuming d is positive.\n' | b'd**(-126/23)\n' | b'Simplify ((d**(-3)/(d*d/d**(-2)))**(2/23))**9 assuming d is positive.\n' | b'd**(-126/23)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from lttttttldtlmdttm. Give prob of picking 2 t and 2 l.\n' | b'27/455\n' | b'Four letters picked without replacement from lttttttldtlmdttm. Give prob of picking 2 t and 2 l.\n' | b'27/455\n' | deepmind/math_dataset |
b'Simplify (j**(3/2))**(1/21)/(j*j/(((j*j**(-2/13))/j)/j)*(j/j**(4/9)*j)/j*j) assuming j is positive.\n' | b'j**(-7597/1638)\n' | b'Simplify (j**(3/2))**(1/21)/(j*j/(((j*j**(-2/13))/j)/j)*(j/j**(4/9)*j)/j*j) assuming j is positive.\n' | b'j**(-7597/1638)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {i: 1, w: 1, t: 1, b: 5, p: 2, v: 5}. What is prob of sequence vpvw?\n' | b'1/819\n' | b'Four letters picked without replacement from {i: 1, w: 1, t: 1, b: 5, p: 2, v: 5}. What is prob of sequence vpvw?\n' | b'1/819\n' | deepmind/math_dataset |
b'Let q = 10 - 117. Let u = 107 + q. Solve 3*g = 5*b - u*b - 1, 5*b = -3*g - 11 for g.\n' | b'-2\n' | b'Let q = 10 - 117. Let u = 107 + q. Solve 3*g = 5*b - u*b - 1, 5*b = -3*g - 11 for g.\n' | b'-2\n' | deepmind/math_dataset |
b'Let u(s) be the third derivative of -s**8/84 + 7*s**4/24 - 7*s**2. What is the second derivative of u(a) wrt a?\n' | b'-80*a**3\n' | b'Let u(s) be the third derivative of -s**8/84 + 7*s**4/24 - 7*s**2. What is the second derivative of u(a) wrt a?\n' | b'-80*a**3\n' | deepmind/math_dataset |
b'What is prob of sequence lnn when three letters picked without replacement from {l: 5, n: 11}?\n' | b'55/336\n' | b'What is prob of sequence lnn when three letters picked without replacement from {l: 5, n: 11}?\n' | b'55/336\n' | deepmind/math_dataset |
b'Let i(g) = -2*g**2 - 2*g - 20. Let z(x) = x**4 - 5*x**2 - 5*x - 41. Suppose -2*v = 2*v - 8. Let m(h) = v*z(h) - 5*i(h). Find the first derivative of m(k) wrt k.\n' | b'8*k**3\n' | b'Let i(g) = -2*g**2 - 2*g - 20. Let z(x) = x**4 - 5*x**2 - 5*x - 41. Suppose -2*v = 2*v - 8. Let m(h) = v*z(h) - 5*i(h). Find the first derivative of m(k) wrt k.\n' | b'8*k**3\n' | deepmind/math_dataset |
b'Find the second derivative of -878*i - 921*i**3 - 235*i - 20717*i**2 + 20716*i**2 wrt i.\n' | b'-5526*i - 2\n' | b'Find the second derivative of -878*i - 921*i**3 - 235*i - 20717*i**2 + 20716*i**2 wrt i.\n' | b'-5526*i - 2\n' | deepmind/math_dataset |
b'What is prob of picking 4 k when four letters picked without replacement from kkkkkkkkk?\n' | b'1\n' | b'What is prob of picking 4 k when four letters picked without replacement from kkkkkkkkk?\n' | b'1\n' | deepmind/math_dataset |
b'Let n(g) = -5*g**3 + 6*g - 19. Let i(t) = -t**3 + t - 4. Let u(y) = 11*i(y) - 2*n(y). Let d(v) = -v**2 - 6*v. Let l be d(-6). Give u(l).\n' | b'-6\n' | b'Let n(g) = -5*g**3 + 6*g - 19. Let i(t) = -t**3 + t - 4. Let u(y) = 11*i(y) - 2*n(y). Let d(v) = -v**2 - 6*v. Let l be d(-6). Give u(l).\n' | b'-6\n' | deepmind/math_dataset |
b'Let q(x) = 2*x**2 - 14*x - 14. Let i be q(8). What is the third derivative of -11*k**6 + k**6 - 9*k**i + 15*k**2 - 9*k**2 wrt k?\n' | b'-1200*k**3\n' | b'Let q(x) = 2*x**2 - 14*x - 14. Let i be q(8). What is the third derivative of -11*k**6 + k**6 - 9*k**i + 15*k**2 - 9*k**2 wrt k?\n' | b'-1200*k**3\n' | deepmind/math_dataset |
b'Simplify m**(9/4)*m**(1/15)*(m**12*m)/((m*m/(m*m/m**(-2)*m*m*m))/m) assuming m is positive.\n' | b'm**(1279/60)\n' | b'Simplify m**(9/4)*m**(1/15)*(m**12*m)/((m*m/(m*m/m**(-2)*m*m*m))/m) assuming m is positive.\n' | b'm**(1279/60)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from tquul. What is prob of picking 1 t, 1 l, and 1 q?\n' | b'1/10\n' | b'Three letters picked without replacement from tquul. What is prob of picking 1 t, 1 l, and 1 q?\n' | b'1/10\n' | deepmind/math_dataset |
b'Let r = -685 + 690. Solve 0 = 5*h - 5*d, 0*h = r*h - 2*d + 12 for h.\n' | b'-4\n' | b'Let r = -685 + 690. Solve 0 = 5*h - 5*d, 0*h = r*h - 2*d + 12 for h.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify (r**(-30))**11*r**(-4/11)*r**(-44) assuming r is positive.\n' | b'r**(-4118/11)\n' | b'Simplify (r**(-30))**11*r**(-4/11)*r**(-44) assuming r is positive.\n' | b'r**(-4118/11)\n' | deepmind/math_dataset |
b'Let g be 1/3 + (-10)/(-6). Suppose 5*q - 23 + 3 = 0. Solve -d = g*i + 3*d + 10, q*i + 10 = 2*d for i.\n' | b'-3\n' | b'Let g be 1/3 + (-10)/(-6). Suppose 5*q - 23 + 3 = 0. Solve -d = g*i + 3*d + 10, q*i + 10 = 2*d for i.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify ((t/t**(-10/7))/(((t*t*t**(2/11))/t)/t))/(((t/(t/(t/t**8)))/t)/(t**(1/16)*t)) assuming t is positive.\n' | b't**(13933/1232)\n' | b'Simplify ((t/t**(-10/7))/(((t*t*t**(2/11))/t)/t))/(((t/(t/(t/t**8)))/t)/(t**(1/16)*t)) assuming t is positive.\n' | b't**(13933/1232)\n' | deepmind/math_dataset |
b'Suppose 16 = 3*g + g. Let f(n) = 12 - g*n + 1 + 2*n. Let j be f(9). Let d(q) = q**2 + 4*q - 3. What is d(j)?\n' | b'2\n' | b'Suppose 16 = 3*g + g. Let f(n) = 12 - g*n + 1 + 2*n. Let j be f(9). Let d(q) = q**2 + 4*q - 3. What is d(j)?\n' | b'2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {x: 4, l: 6, k: 5}. What is prob of sequence xxkl?\n' | b'1/91\n' | b'Four letters picked without replacement from {x: 4, l: 6, k: 5}. What is prob of sequence xxkl?\n' | b'1/91\n' | deepmind/math_dataset |
b'Four letters picked without replacement from nnnn. Give prob of picking 4 n.\n' | b'1\n' | b'Four letters picked without replacement from nnnn. Give prob of picking 4 n.\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of picking 1 v and 1 a when two letters picked without replacement from ayfvnfffyvfv?\n' | b'1/22\n' | b'What is prob of picking 1 v and 1 a when two letters picked without replacement from ayfvnfffyvfv?\n' | b'1/22\n' | deepmind/math_dataset |
b'Simplify (z**(-1/3))**(-4/17)*(z/z**(2/5))**(-1/13) assuming z is positive.\n' | b'z**(107/3315)\n' | b'Simplify (z**(-1/3))**(-4/17)*(z/z**(2/5))**(-1/13) assuming z is positive.\n' | b'z**(107/3315)\n' | deepmind/math_dataset |
b'Let x(m) = 41*m - 52. Let f(h) = -43*h + 52. Let s = 152 + -145. Let y(c) = s*x(c) + 6*f(c). Differentiate y(w) wrt w.\n' | b'29\n' | b'Let x(m) = 41*m - 52. Let f(h) = -43*h + 52. Let s = 152 + -145. Let y(c) = s*x(c) + 6*f(c). Differentiate y(w) wrt w.\n' | b'29\n' | deepmind/math_dataset |
b'Let x(n) be the first derivative of -n**4/2 + n**3/3 - n**2/2 - 2*n + 5. Let p be x(-1). Solve 2*c + 10 = p*h, c - 3*h + 5 = -0*h for c.\n' | b'-5\n' | b'Let x(n) be the first derivative of -n**4/2 + n**3/3 - n**2/2 - 2*n + 5. Let p be x(-1). Solve 2*c + 10 = p*h, c - 3*h + 5 = -0*h for c.\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose -2*h - 26 = -4*h + 4*c, -4*h = c - 16. Solve 0 = 4*r - 4*p + 28 - 4, -5*p + h = 0 for r.\n' | b'-5\n' | b'Suppose -2*h - 26 = -4*h + 4*c, -4*h = c - 16. Solve 0 = 4*r - 4*p + 28 - 4, -5*p + h = 0 for r.\n' | b'-5\n' | deepmind/math_dataset |
b'Let g(c) = 10*c**3 + 6*c**2 - 3*c + 2. Let j(d) = d**3 - d**2 - d. Let f(a) = -g(a) - 3*j(a). Find the second derivative of f(w) wrt w.\n' | b'-78*w - 6\n' | b'Let g(c) = 10*c**3 + 6*c**2 - 3*c + 2. Let j(d) = d**3 - d**2 - d. Let f(a) = -g(a) - 3*j(a). Find the second derivative of f(w) wrt w.\n' | b'-78*w - 6\n' | deepmind/math_dataset |
b'Simplify (((s**(-2/3))**(-22))**(-6))**(-3/19) assuming s is positive.\n' | b's**(264/19)\n' | b'Simplify (((s**(-2/3))**(-22))**(-6))**(-3/19) assuming s is positive.\n' | b's**(264/19)\n' | deepmind/math_dataset |
b'Let j(f) be the third derivative of f**7/2520 + 7*f**6/720 + f**5/30 - 2*f**2. Let l(d) be the third derivative of j(d). Let k = -7 - -2. Calculate l(k).\n' | b'-3\n' | b'Let j(f) be the third derivative of f**7/2520 + 7*f**6/720 + f**5/30 - 2*f**2. Let l(d) be the third derivative of j(d). Let k = -7 - -2. Calculate l(k).\n' | b'-3\n' | deepmind/math_dataset |
b'Let o(r) = -65*r + 915. Let h be o(14). Solve -5*q = 3*f + 9, f + 2*q = 1 - h for f.\n' | b'2\n' | b'Let o(r) = -65*r + 915. Let h be o(14). Solve -5*q = 3*f + 9, f + 2*q = 1 - h for f.\n' | b'2\n' | deepmind/math_dataset |
b'Let g(c) be the third derivative of -1/12*c**4 - 1/6*c**3 + 0*c - 7*c**2 + 0. Let s be g(-4). Solve 2*d - 2*w + s = d, -3*d - 5*w = 10 for d.\n' | b'-5\n' | b'Let g(c) be the third derivative of -1/12*c**4 - 1/6*c**3 + 0*c - 7*c**2 + 0. Let s be g(-4). Solve 2*d - 2*w + s = d, -3*d - 5*w = 10 for d.\n' | b'-5\n' | deepmind/math_dataset |
b'Let q(z) = 2*z - 2. Let p be 2 - (-3)/9*-3. Let a be q(p). Differentiate a*j**3 + 4*j - 3*j**3 - 4*j - 9 with respect to j.\n' | b'-9*j**2\n' | b'Let q(z) = 2*z - 2. Let p be 2 - (-3)/9*-3. Let a be q(p). Differentiate a*j**3 + 4*j - 3*j**3 - 4*j - 9 with respect to j.\n' | b'-9*j**2\n' | deepmind/math_dataset |
b'Let l(p) = p + 5. Let s = 3 - 4. Let i be s/2 - (-2)/4. Let c be l(i). Solve 13 = c*b - 3*r, -3*b + 4*r = -r + 5 for b.\n' | b'5\n' | b'Let l(p) = p + 5. Let s = 3 - 4. Let i be s/2 - (-2)/4. Let c be l(i). Solve 13 = c*b - 3*r, -3*b + 4*r = -r + 5 for b.\n' | b'5\n' | deepmind/math_dataset |
b'Suppose y - 5*q + 1 = 0, 71*q + 15 = 5*y + 66*q. Suppose 3*h = -4*f - 3 + 22, -4*h + 19 = -f. Solve 17 = 2*o + h*b, -3*o - 9 = -8*b + y*b for o.\n' | b'1\n' | b'Suppose y - 5*q + 1 = 0, 71*q + 15 = 5*y + 66*q. Suppose 3*h = -4*f - 3 + 22, -4*h + 19 = -f. Solve 17 = 2*o + h*b, -3*o - 9 = -8*b + y*b for o.\n' | b'1\n' | deepmind/math_dataset |
b'Let u be 20*(10/(-8) - -2). Let m = 32 - u. Suppose w + 2*x - 5 - 3 = 0, 0 = -4*x + 12. Solve g - 12 = -w*g, -2*g - m = 5*v for v.\n' | b'-5\n' | b'Let u be 20*(10/(-8) - -2). Let m = 32 - u. Suppose w + 2*x - 5 - 3 = 0, 0 = -4*x + 12. Solve g - 12 = -w*g, -2*g - m = 5*v for v.\n' | b'-5\n' | deepmind/math_dataset |
b'What is the third derivative of 15*z**4 - 4*z**4 - 27*z**2 + 4505*z - 27*z**2 - 4505*z - 17*z**3 wrt z?\n' | b'264*z - 102\n' | b'What is the third derivative of 15*z**4 - 4*z**4 - 27*z**2 + 4505*z - 27*z**2 - 4505*z - 17*z**3 wrt z?\n' | b'264*z - 102\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {l: 5, y: 3}. What is prob of sequence yyly?\n' | b'1/56\n' | b'Four letters picked without replacement from {l: 5, y: 3}. What is prob of sequence yyly?\n' | b'1/56\n' | deepmind/math_dataset |
b'Simplify l**(1/27)*l*(l*l/(l/l**18))/l*(l/(l/((l/(l*l**7))/l*l)))**(-1/4) assuming l is positive.\n' | b'l**(2245/108)\n' | b'Simplify l**(1/27)*l*(l*l/(l/l**18))/l*(l/(l/((l/(l*l**7))/l*l)))**(-1/4) assuming l is positive.\n' | b'l**(2245/108)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {b: 4, u: 2, f: 2, m: 1, a: 7, z: 1}. What is prob of sequence fbuz?\n' | b'1/3570\n' | b'Four letters picked without replacement from {b: 4, u: 2, f: 2, m: 1, a: 7, z: 1}. What is prob of sequence fbuz?\n' | b'1/3570\n' | deepmind/math_dataset |
b'Four letters picked without replacement from bxxxxxnnxx. Give prob of sequence bxxx.\n' | b'1/24\n' | b'Four letters picked without replacement from bxxxxxnnxx. Give prob of sequence bxxx.\n' | b'1/24\n' | deepmind/math_dataset |
b'Simplify (x**(-2/7))**34 assuming x is positive.\n' | b'x**(-68/7)\n' | b'Simplify (x**(-2/7))**34 assuming x is positive.\n' | b'x**(-68/7)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {z: 1, p: 5, e: 7, h: 1, m: 1}. What is prob of picking 1 h and 3 e?\n' | b'1/39\n' | b'Four letters picked without replacement from {z: 1, p: 5, e: 7, h: 1, m: 1}. What is prob of picking 1 h and 3 e?\n' | b'1/39\n' | deepmind/math_dataset |
b'Let w(q) = -17*q - 42. Let z(g) = 38*g + 95. Let i(b) = 9*w(b) + 4*z(b). Let d(v) = v - 5. Let l be d(6). Give i(l).\n' | b'1\n' | b'Let w(q) = -17*q - 42. Let z(g) = 38*g + 95. Let i(b) = 9*w(b) + 4*z(b). Let d(v) = v - 5. Let l be d(6). Give i(l).\n' | b'1\n' | deepmind/math_dataset |
b'Let o(x) be the second derivative of -5*x**4/4 + x**3/3 + 16*x. What is the second derivative of o(p) wrt p?\n' | b'-30\n' | b'Let o(x) be the second derivative of -5*x**4/4 + x**3/3 + 16*x. What is the second derivative of o(p) wrt p?\n' | b'-30\n' | deepmind/math_dataset |
b'Simplify (k**8*k**34)/(k*k**(-4))**(1/40) assuming k is positive.\n' | b'k**(1683/40)\n' | b'Simplify (k**8*k**34)/(k*k**(-4))**(1/40) assuming k is positive.\n' | b'k**(1683/40)\n' | deepmind/math_dataset |
b'Let f(s) = -s**3 + 6*s**2 - 4*s + 2. Let y = 11 - 2. Let q be (-282)/(-54) + (-2)/y. What is f(q)?\n' | b'7\n' | b'Let f(s) = -s**3 + 6*s**2 - 4*s + 2. Let y = 11 - 2. Let q be (-282)/(-54) + (-2)/y. What is f(q)?\n' | b'7\n' | deepmind/math_dataset |
b'Calculate prob of sequence lvl when three letters picked without replacement from vvvvvlvlvlelvlllvlvv.\n' | b'77/855\n' | b'Calculate prob of sequence lvl when three letters picked without replacement from vvvvvlvlvlelvlllvlvv.\n' | b'77/855\n' | deepmind/math_dataset |
b'Let k(b) = 5*b**2 + 0 - 5*b - 4 + 4*b + b**3. Let d be k(-5). Find the first derivative of -d - 2*w + 2*w + w**4 wrt w.\n' | b'4*w**3\n' | b'Let k(b) = 5*b**2 + 0 - 5*b - 4 + 4*b + b**3. Let d be k(-5). Find the first derivative of -d - 2*w + 2*w + w**4 wrt w.\n' | b'4*w**3\n' | deepmind/math_dataset |
b'Let q(u) be the third derivative of u**4/12 - 19*u**3/6 + 41*u**2. Let k be q(11). Suppose -2*i + 6 = i. Solve 22 = -5*c - i*b, k = -b + 2 for c.\n' | b'-4\n' | b'Let q(u) be the third derivative of u**4/12 - 19*u**3/6 + 41*u**2. Let k be q(11). Suppose -2*i + 6 = i. Solve 22 = -5*c - i*b, k = -b + 2 for c.\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose v - 3*a - 5 = 0, -a = 19 - 21. Solve -5*j + 1 = -2*h - 7, 3*h = -4*j + v for h.\n' | b'1\n' | b'Suppose v - 3*a - 5 = 0, -a = 19 - 21. Solve -5*j + 1 = -2*h - 7, 3*h = -4*j + v for h.\n' | b'1\n' | deepmind/math_dataset |
b'Let b(p) be the third derivative of 0*p**4 - 7/30*p**5 + 158*p**2 + 1/30*p**6 + 0*p + 0 - 1/3*p**3. Find the first derivative of b(d) wrt d.\n' | b'12*d**2 - 28*d\n' | b'Let b(p) be the third derivative of 0*p**4 - 7/30*p**5 + 158*p**2 + 1/30*p**6 + 0*p + 0 - 1/3*p**3. Find the first derivative of b(d) wrt d.\n' | b'12*d**2 - 28*d\n' | deepmind/math_dataset |
b'Let x be (-9)/(6/8*2). Let h be (-20)/x*(-24)/(-10). Solve 4*b + h = -4*c, 4*b = 5*c + 5*b + 10 for c.\n' | b'-2\n' | b'Let x be (-9)/(6/8*2). Let h be (-20)/x*(-24)/(-10). Solve 4*b + h = -4*c, 4*b = 5*c + 5*b + 10 for c.\n' | b'-2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {y: 2, i: 5}. What is prob of sequence iyiy?\n' | b'1/21\n' | b'Four letters picked without replacement from {y: 2, i: 5}. What is prob of sequence iyiy?\n' | b'1/21\n' | deepmind/math_dataset |
b'Simplify ((a*a**2)**(-44))**5 assuming a is positive.\n' | b'a**(-660)\n' | b'Simplify ((a*a**2)**(-44))**5 assuming a is positive.\n' | b'a**(-660)\n' | deepmind/math_dataset |
b'Suppose -4*f + 0*f = 0. Suppose 5*x + f = 10. Find the third derivative of 6*q**4 + q**2 - 4*q**x + 4*q**2 wrt q.\n' | b'144*q\n' | b'Suppose -4*f + 0*f = 0. Suppose 5*x + f = 10. Find the third derivative of 6*q**4 + q**2 - 4*q**x + 4*q**2 wrt q.\n' | b'144*q\n' | deepmind/math_dataset |
b'Suppose -619*x = -596*x - 483. Let l(j) = j. Let p be l(0). Let h = 0 - p. Solve 20 = -4*b, -3*b + h*b = -3*z + x for z.\n' | b'2\n' | b'Suppose -619*x = -596*x - 483. Let l(j) = j. Let p be l(0). Let h = 0 - p. Solve 20 = -4*b, -3*b + h*b = -3*z + x for z.\n' | b'2\n' | deepmind/math_dataset |
b'Let l be (-7)/((-182)/4) - 356/(-52). Solve -3*j = -15, -1 = -o + j - l for o.\n' | b'-1\n' | b'Let l be (-7)/((-182)/4) - 356/(-52). Solve -3*j = -15, -1 = -o + j - l for o.\n' | b'-1\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 x and 1 i when two letters picked without replacement from iviiiixibiik.\n' | b'4/33\n' | b'Calculate prob of picking 1 x and 1 i when two letters picked without replacement from iviiiixibiik.\n' | b'4/33\n' | deepmind/math_dataset |
b'Let h = 12 - 9. Solve -2*i + 12 = 2*f, -f = 2*i - h*i + 2 for i.\n' | b'4\n' | b'Let h = 12 - 9. Solve -2*i + 12 = 2*f, -f = 2*i - h*i + 2 for i.\n' | b'4\n' | deepmind/math_dataset |
b'Let z(o) be the third derivative of o**6/120 - o**5/4 - o**4/24 + 7*o**3/2 + 24*o**2 + 7. Determine z(15).\n' | b'6\n' | b'Let z(o) be the third derivative of o**6/120 - o**5/4 - o**4/24 + 7*o**3/2 + 24*o**2 + 7. Determine z(15).\n' | b'6\n' | deepmind/math_dataset |
b'Simplify (w/(w*w**(4/5)))/w**(-6)*w**3*w**(2/5)*(w/(w/(w/(w/w**(-9))*w))*((w*w**(-2/13))/w)/w*w)**(6/7) assuming w is positive.\n' | b'w**(733/455)\n' | b'Simplify (w/(w*w**(4/5)))/w**(-6)*w**3*w**(2/5)*(w/(w/(w/(w/w**(-9))*w))*((w*w**(-2/13))/w)/w*w)**(6/7) assuming w is positive.\n' | b'w**(733/455)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {r: 6, y: 7, j: 4}. Give prob of picking 2 r.\n' | b'15/136\n' | b'Two letters picked without replacement from {r: 6, y: 7, j: 4}. Give prob of picking 2 r.\n' | b'15/136\n' | deepmind/math_dataset |
b'Let v be -3*(14/(-6) - -1). Suppose -w = j - 12, w - 172 + 180 = 4*j. Solve i + 3 = 3*o + v, 0 = 2*i + j for o.\n' | b'-1\n' | b'Let v be -3*(14/(-6) - -1). Suppose -w = j - 12, w - 172 + 180 = 4*j. Solve i + 3 = 3*o + v, 0 = 2*i + j for o.\n' | b'-1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from bqqqqqqqqqqqqbbq. What is prob of picking 2 q?\n' | b'13/20\n' | b'Two letters picked without replacement from bqqqqqqqqqqqqbbq. What is prob of picking 2 q?\n' | b'13/20\n' | deepmind/math_dataset |
b'Suppose j - 5 = -0. Let l(y) = -2 + 2*y + j*y**2 - 6*y**2 + 2*y**2. What is l(-5)?\n' | b'13\n' | b'Suppose j - 5 = -0. Let l(y) = -2 + 2*y + j*y**2 - 6*y**2 + 2*y**2. What is l(-5)?\n' | b'13\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ttttatataaata. What is prob of picking 1 t and 1 a?\n' | b'7/13\n' | b'Two letters picked without replacement from ttttatataaata. What is prob of picking 1 t and 1 a?\n' | b'7/13\n' | deepmind/math_dataset |
b'Let x be ((-9)/3)/((-6)/4). Suppose -x*i + 27 = 15. Solve 4*g - 4*s + 24 = i*g, 3*g + s = 16 for g.\n' | b'4\n' | b'Let x be ((-9)/3)/((-6)/4). Suppose -x*i + 27 = 15. Solve 4*g - 4*s + 24 = i*g, 3*g + s = 16 for g.\n' | b'4\n' | deepmind/math_dataset |
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