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 v be 0/(-84*(-21)/84). Let s(u) be the third derivative of -1/3*u**4 + 0 - 6*u**3 + v*u - 2*u**2. Find the first derivative of s(m) wrt m.\n' | b'-8\n' | b'Let v be 0/(-84*(-21)/84). Let s(u) be the third derivative of -1/3*u**4 + 0 - 6*u**3 + v*u - 2*u**2. Find the first derivative of s(m) wrt m.\n' | b'-8\n' | deepmind/math_dataset |
b'Four letters picked without replacement from lllyyylylyyllylylyy. What is prob of picking 1 y and 3 l?\n' | b'70/323\n' | b'Four letters picked without replacement from lllyyylylyyllylylyy. What is prob of picking 1 y and 3 l?\n' | b'70/323\n' | deepmind/math_dataset |
b'Let n(z) = -4 + 0 - z + 7*z. Let f(p) = -p**3 + 4*p**2 + 4. Let d be f(4). Let m be n(d). Solve 0 = 5*h - m, -l - 3*h + 2*h = -8 for l.\n' | b'4\n' | b'Let n(z) = -4 + 0 - z + 7*z. Let f(p) = -p**3 + 4*p**2 + 4. Let d be f(4). Let m be n(d). Solve 0 = 5*h - m, -l - 3*h + 2*h = -8 for l.\n' | b'4\n' | deepmind/math_dataset |
b'Suppose 1622*w + 74 = 1624*w. Suppose -2*i - 2 = -94. Let u(k) = -w*k**3 + 6*k**2 - i*k**3 + 3 + 84*k**3 + 4*k. Calculate u(-5).\n' | b'8\n' | b'Suppose 1622*w + 74 = 1624*w. Suppose -2*i - 2 = -94. Let u(k) = -w*k**3 + 6*k**2 - i*k**3 + 3 + 84*k**3 + 4*k. Calculate u(-5).\n' | b'8\n' | deepmind/math_dataset |
b'Let s be 30/(-4)*(-48)/20. Suppose 0 = 17*m - s*m + 9. Find the first derivative of -1 - 3 + 0 + m + 14*v wrt v.\n' | b'14\n' | b'Let s be 30/(-4)*(-48)/20. Suppose 0 = 17*m - s*m + 9. Find the first derivative of -1 - 3 + 0 + m + 14*v wrt v.\n' | b'14\n' | deepmind/math_dataset |
b'Suppose -6*h = -h - 25. Let x(s) = s**3 - 4*s**2 - 4*s - 3. Let n be x(h). Solve 8 = n*q, q + 15 - 4 = -5*d for d.\n' | b'-3\n' | b'Suppose -6*h = -h - 25. Let x(s) = s**3 - 4*s**2 - 4*s - 3. Let n be x(h). Solve 8 = n*q, q + 15 - 4 = -5*d for d.\n' | b'-3\n' | deepmind/math_dataset |
b'What is prob of picking 1 l, 1 j, 1 x, and 1 i when four letters picked without replacement from {l: 1, i: 2, j: 3, x: 1}?\n' | b'6/35\n' | b'What is prob of picking 1 l, 1 j, 1 x, and 1 i when four letters picked without replacement from {l: 1, i: 2, j: 3, x: 1}?\n' | b'6/35\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {w: 1, v: 1, h: 1, t: 1, x: 1}. Give prob of picking 1 w, 1 h, and 1 v.\n' | b'1/10\n' | b'Three letters picked without replacement from {w: 1, v: 1, h: 1, t: 1, x: 1}. Give prob of picking 1 w, 1 h, and 1 v.\n' | b'1/10\n' | deepmind/math_dataset |
b'Simplify (((s/s**(-1))/s)/s*s*s*s**3)**(-39)*(s**(3/2)/(s*s**(-1/3)))**(-14) assuming s is positive.\n' | b's**(-620/3)\n' | b'Simplify (((s/s**(-1))/s)/s*s*s*s**3)**(-39)*(s**(3/2)/(s*s**(-1/3)))**(-14) assuming s is positive.\n' | b's**(-620/3)\n' | deepmind/math_dataset |
b'Let d = 21 - 18. Let f(a) = -a**3 + 3*a**2 + 3*a - 3. Let p be f(d). Solve h = y + 3, -5*y = p*h - h - 5 for y.\n' | b'-1\n' | b'Let d = 21 - 18. Let f(a) = -a**3 + 3*a**2 + 3*a - 3. Let p be f(d). Solve h = y + 3, -5*y = p*h - h - 5 for y.\n' | b'-1\n' | deepmind/math_dataset |
b'Let o(f) = -15*f**3 - 12*f**2. Let y(b) = -31*b**3 - 24*b**2. Let u(j) = 5*o(j) - 2*y(j). Find the third derivative of u(x) wrt x.\n' | b'-78\n' | b'Let o(f) = -15*f**3 - 12*f**2. Let y(b) = -31*b**3 - 24*b**2. Let u(j) = 5*o(j) - 2*y(j). Find the third derivative of u(x) wrt x.\n' | b'-78\n' | deepmind/math_dataset |
b'Let c(s) = s - 1. Let r(a) = 4*a. Let d(q) = 6*c(q) - 2*r(q). Let g = 83 - 87. Give d(g).\n' | b'2\n' | b'Let c(s) = s - 1. Let r(a) = 4*a. Let d(q) = 6*c(q) - 2*r(q). Let g = 83 - 87. Give d(g).\n' | b'2\n' | deepmind/math_dataset |
b'Let f(t) = t**3 - 11*t**2 + 28*t - 28. Suppose 50 = 5*j + 4*v + 30, -5*j - v + 35 = 0. What is f(j)?\n' | b'4\n' | b'Let f(t) = t**3 - 11*t**2 + 28*t - 28. Suppose 50 = 5*j + 4*v + 30, -5*j - v + 35 = 0. What is f(j)?\n' | b'4\n' | deepmind/math_dataset |
b'Simplify (i**6)**(-26/9)*(i**(-7/9))**(2/43) assuming i is positive.\n' | b'i**(-6722/387)\n' | b'Simplify (i**6)**(-26/9)*(i**(-7/9))**(2/43) assuming i is positive.\n' | b'i**(-6722/387)\n' | deepmind/math_dataset |
b'Let r(z) = 8*z**2 + 331*z + 128. Let x be r(-41). Solve 3*l = x*l + f + 7, 5*l + 16 = -f for l.\n' | b'-3\n' | b'Let r(z) = 8*z**2 + 331*z + 128. Let x be r(-41). Solve 3*l = x*l + f + 7, 5*l + 16 = -f for l.\n' | b'-3\n' | deepmind/math_dataset |
b'Let r(s) be the third derivative of -s**7/210 + 293*s**6/120 - 649*s**3/6 - 311*s**2. What is the first derivative of r(o) wrt o?\n' | b'-4*o**3 + 879*o**2\n' | b'Let r(s) be the third derivative of -s**7/210 + 293*s**6/120 - 649*s**3/6 - 311*s**2. What is the first derivative of r(o) wrt o?\n' | b'-4*o**3 + 879*o**2\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 z and 1 c when two letters picked without replacement from caczl.\n' | b'1/5\n' | b'Calculate prob of picking 1 z and 1 c when two letters picked without replacement from caczl.\n' | b'1/5\n' | deepmind/math_dataset |
b'Simplify (t**(2/7)/t*t/(t*t/t**(-1/5))*t)**48/(((t/(t*t**(1/8)))/((t/(t*t**6))/t*t))/(t**0/(t/t**0))) assuming t is positive.\n' | b't**(-14213/280)\n' | b'Simplify (t**(2/7)/t*t/(t*t/t**(-1/5))*t)**48/(((t/(t*t**(1/8)))/((t/(t*t**6))/t*t))/(t**0/(t/t**0))) assuming t is positive.\n' | b't**(-14213/280)\n' | deepmind/math_dataset |
b'What is prob of picking 3 b when three letters picked without replacement from {b: 11, h: 4, y: 4}?\n' | b'55/323\n' | b'What is prob of picking 3 b when three letters picked without replacement from {b: 11, h: 4, y: 4}?\n' | b'55/323\n' | deepmind/math_dataset |
b'What is prob of picking 1 v and 1 n when two letters picked without replacement from evnvnneen?\n' | b'2/9\n' | b'What is prob of picking 1 v and 1 n when two letters picked without replacement from evnvnneen?\n' | b'2/9\n' | deepmind/math_dataset |
b'Let r(q) be the first derivative of -q**2 + 24*q - 19. Let s be r(11). Suppose s*c + 2*i = 12, 0 = c + 2*c - i - 26. Let w(t) = t**2 - 8*t + 2. What is w(c)?\n' | b'2\n' | b'Let r(q) be the first derivative of -q**2 + 24*q - 19. Let s be r(11). Suppose s*c + 2*i = 12, 0 = c + 2*c - i - 26. Let w(t) = t**2 - 8*t + 2. What is w(c)?\n' | b'2\n' | deepmind/math_dataset |
b'Simplify ((c/(c*c**(4/5)/c))/((c/(c*c**(-1/13)/c))/c)*(c*c/(c/c**9))/c*c*c/(c*c*c/c**(4/5)*c*c)*c)**(1/32) assuming c is positive.\n' | b'c**(103/416)\n' | b'Simplify ((c/(c*c**(4/5)/c))/((c/(c*c**(-1/13)/c))/c)*(c*c/(c/c**9))/c*c*c/(c*c*c/c**(4/5)*c*c)*c)**(1/32) assuming c is positive.\n' | b'c**(103/416)\n' | deepmind/math_dataset |
b'Suppose -5*w = -3*w - 30. Let l be 12/w - 2/(-10). Let f(v) = -3*v**3 - v. Give f(l).\n' | b'-4\n' | b'Suppose -5*w = -3*w - 30. Let l be 12/w - 2/(-10). Let f(v) = -3*v**3 - v. Give f(l).\n' | b'-4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from xxxxllxlllxxxxll. What is prob of sequence lx?\n' | b'21/80\n' | b'Two letters picked without replacement from xxxxllxlllxxxxll. What is prob of sequence lx?\n' | b'21/80\n' | deepmind/math_dataset |
b'Suppose -11*u - 14106 = -14260. Solve u*i - 18*i = -3*m - 5, 2*m - 25 = -3*i for i.\n' | b'5\n' | b'Suppose -11*u - 14106 = -14260. Solve u*i - 18*i = -3*m - 5, 2*m - 25 = -3*i for i.\n' | b'5\n' | deepmind/math_dataset |
b'What is prob of picking 1 z and 1 h when two letters picked without replacement from {z: 5, h: 3}?\n' | b'15/28\n' | b'What is prob of picking 1 z and 1 h when two letters picked without replacement from {z: 5, h: 3}?\n' | b'15/28\n' | deepmind/math_dataset |
b'Simplify (g/(g/g**(-3/4))*((g/(g*g*g*g/(g*g**(2/23)*g*g)*g)*g*g)/g)/g*g**(-2)/(g**10/g))**(-1/6) assuming g is positive.\n' | b'g**(1165/552)\n' | b'Simplify (g/(g/g**(-3/4))*((g/(g*g*g*g/(g*g**(2/23)*g*g)*g)*g*g)/g)/g*g**(-2)/(g**10/g))**(-1/6) assuming g is positive.\n' | b'g**(1165/552)\n' | deepmind/math_dataset |
b'Suppose 4*o = 7*o - 9. Suppose -o = -2*v - l, -2*v + 3*l + 13 = 3*v. Solve -v*r = -5*t + 12, -5*r + 4*t + 1 + 3 = 0 for r.\n' | b'4\n' | b'Suppose 4*o = 7*o - 9. Suppose -o = -2*v - l, -2*v + 3*l + 13 = 3*v. Solve -v*r = -5*t + 12, -5*r + 4*t + 1 + 3 = 0 for r.\n' | b'4\n' | deepmind/math_dataset |
b'Let c = 15 - 26. Let f = c + 7. Let x(u) = -u - 2. Determine x(f).\n' | b'2\n' | b'Let c = 15 - 26. Let f = c + 7. Let x(u) = -u - 2. Determine x(f).\n' | b'2\n' | deepmind/math_dataset |
b'Suppose 11*l = -78 + 199. Let z(d) = -d - 5*d**2 - l + 0*d**2 - 2*d**3 + 11 + 3*d**3. Suppose -4*j = 4*b - 20, 0 = -2*j - b - 3 + 13. Give z(j).\n' | b'-5\n' | b'Suppose 11*l = -78 + 199. Let z(d) = -d - 5*d**2 - l + 0*d**2 - 2*d**3 + 11 + 3*d**3. Suppose -4*j = 4*b - 20, 0 = -2*j - b - 3 + 13. Give z(j).\n' | b'-5\n' | deepmind/math_dataset |
b'Let x(g) = 47*g + 810. Let n be x(-17). Solve -4*u = 3*k + 8, u + 6*k = 3*k - n for u.\n' | b'1\n' | b'Let x(g) = 47*g + 810. Let n be x(-17). Solve -4*u = 3*k + 8, u + 6*k = 3*k - n for u.\n' | b'1\n' | deepmind/math_dataset |
b'Let t(k) = 45*k**3 - 2*k + 2. Let y be t(1). Let v = y - 43. Let h(i) = -12*i**v - 8*i + 15*i + 11*i**2 - 9. Give h(6).\n' | b'-3\n' | b'Let t(k) = 45*k**3 - 2*k + 2. Let y be t(1). Let v = y - 43. Let h(i) = -12*i**v - 8*i + 15*i + 11*i**2 - 9. Give h(6).\n' | b'-3\n' | deepmind/math_dataset |
b'Let z(d) = d**3 - d**2 - 71*d + 4. Let i be z(9). What is the third derivative of 9*k**5 + i - 9 - 4 + 62*k**2 wrt k?\n' | b'540*k**2\n' | b'Let z(d) = d**3 - d**2 - 71*d + 4. Let i be z(9). What is the third derivative of 9*k**5 + i - 9 - 4 + 62*k**2 wrt k?\n' | b'540*k**2\n' | deepmind/math_dataset |
b'Let r(k) be the first derivative of -315*k**4/2 + 26*k**3/3 + k**2/2 + 538. What is the third derivative of r(z) wrt z?\n' | b'-3780\n' | b'Let r(k) be the first derivative of -315*k**4/2 + 26*k**3/3 + k**2/2 + 538. What is the third derivative of r(z) wrt z?\n' | b'-3780\n' | deepmind/math_dataset |
b'Let l(s) = 2*s - 7. Let t = 373 + -528. Let d = t + 160. Determine l(d).\n' | b'3\n' | b'Let l(s) = 2*s - 7. Let t = 373 + -528. Let d = t + 160. Determine l(d).\n' | b'3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {q: 2, x: 3, r: 4, n: 2, j: 2, h: 3}. What is prob of sequence nxq?\n' | b'1/280\n' | b'Three letters picked without replacement from {q: 2, x: 3, r: 4, n: 2, j: 2, h: 3}. What is prob of sequence nxq?\n' | b'1/280\n' | deepmind/math_dataset |
b'Simplify s**4/s*s*s/s**(2/19)*s*(s/(((s/(s/s**6)*s)/s)/s))/(s*(s/(s**(-3)/s)*s*s*s)/s)*(s/(s*s*s**1/s))**(-20)*(s*s**1)**(-2/69) assuming s is positive.\n' | b's**(18140/1311)\n' | b'Simplify s**4/s*s*s/s**(2/19)*s*(s/(((s/(s/s**6)*s)/s)/s))/(s*(s/(s**(-3)/s)*s*s*s)/s)*(s/(s*s*s**1/s))**(-20)*(s*s**1)**(-2/69) assuming s is positive.\n' | b's**(18140/1311)\n' | deepmind/math_dataset |
b'What is prob of sequence lyl when three letters picked without replacement from {y: 1, n: 1, l: 5, i: 12}?\n' | b'10/2907\n' | b'What is prob of sequence lyl when three letters picked without replacement from {y: 1, n: 1, l: 5, i: 12}?\n' | b'10/2907\n' | deepmind/math_dataset |
b'Simplify ((r*r**(-11))/(r/(r*r/(r/r**(-8)))*r)*(r/r**(1/11))/r**(-20))**(18/13) assuming r is positive.\n' | b'r**(378/143)\n' | b'Simplify ((r*r**(-11))/(r/(r*r/(r/r**(-8)))*r)*(r/r**(1/11))/r**(-20))**(18/13) assuming r is positive.\n' | b'r**(378/143)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ijqfovo. What is prob of sequence oi?\n' | b'1/21\n' | b'Two letters picked without replacement from ijqfovo. What is prob of sequence oi?\n' | b'1/21\n' | deepmind/math_dataset |
b'Suppose -119 + 131 = -4*t. Let a(c) = -99*c - 130. Let s(p) = 50*p + 65. Let j(w) = t*a(w) - 5*s(w). What is the derivative of j(n) wrt n?\n' | b'47\n' | b'Suppose -119 + 131 = -4*t. Let a(c) = -99*c - 130. Let s(p) = 50*p + 65. Let j(w) = t*a(w) - 5*s(w). What is the derivative of j(n) wrt n?\n' | b'47\n' | deepmind/math_dataset |
b'Suppose 2*f + 4*c - 58 = 16, 16 = -4*c. Let j = 19 + -15. Solve -4*q = -9*a + 4*a + f, j*a - 15 = -q for a.\n' | b'5\n' | b'Suppose 2*f + 4*c - 58 = 16, 16 = -4*c. Let j = 19 + -15. Solve -4*q = -9*a + 4*a + f, j*a - 15 = -q for a.\n' | b'5\n' | deepmind/math_dataset |
b'Suppose 3*b = 2*p - p - 1, -3*p = -3*b - 3. Suppose 5*a - 2*a - 12 = b. Let x = -6 - -18. Solve h - m - x = a*h, -m - 16 = 4*h for h.\n' | b'-4\n' | b'Suppose 3*b = 2*p - p - 1, -3*p = -3*b - 3. Suppose 5*a - 2*a - 12 = b. Let x = -6 - -18. Solve h - m - x = a*h, -m - 16 = 4*h for h.\n' | b'-4\n' | deepmind/math_dataset |
b'Let y be 22/143 - (12/(-26)*4 - -4). Let h(x) = 2*x**3 + 2*x + 3. Give h(y).\n' | b'-17\n' | b'Let y be 22/143 - (12/(-26)*4 - -4). Let h(x) = 2*x**3 + 2*x + 3. Give h(y).\n' | b'-17\n' | deepmind/math_dataset |
b'Let p(c) = -c**2 + 2*c + 10. Let i be p(-3). Let r(h) be the second derivative of h**4/12 + 7*h**3/6 + h**2/2 - 13*h. Give r(i).\n' | b'-9\n' | b'Let p(c) = -c**2 + 2*c + 10. Let i be p(-3). Let r(h) be the second derivative of h**4/12 + 7*h**3/6 + h**2/2 - 13*h. Give r(i).\n' | b'-9\n' | deepmind/math_dataset |
b'Calculate prob of sequence gpyy when four letters picked without replacement from yggppmyyy.\n' | b'1/63\n' | b'Calculate prob of sequence gpyy when four letters picked without replacement from yggppmyyy.\n' | b'1/63\n' | deepmind/math_dataset |
b'Simplify (u**5*u*u/((u/(u*u**(-1/10)))/u)*u**(-2/5)/((u/(u**(-8)/u))/u))**(31/3) assuming u is positive.\n' | b'u**(-31/2)\n' | b'Simplify (u**5*u*u/((u/(u*u**(-1/10)))/u)*u**(-2/5)/((u/(u**(-8)/u))/u))**(31/3) assuming u is positive.\n' | b'u**(-31/2)\n' | deepmind/math_dataset |
b'Let b(x) be the first derivative of -x + 0*x**2 + 2/3*x**3 + 2/5*x**5 - 144 + 5/4*x**4. Find the third derivative of b(n) wrt n.\n' | b'48*n + 30\n' | b'Let b(x) be the first derivative of -x + 0*x**2 + 2/3*x**3 + 2/5*x**5 - 144 + 5/4*x**4. Find the third derivative of b(n) wrt n.\n' | b'48*n + 30\n' | deepmind/math_dataset |
b'Suppose -2 + 10 = -4*u - 5*w, -3 = 3*u + 3*w. Suppose 0 = 5*t + r - 12, -u*r + 14 = 5*t - r. Solve d - y = -t*d - 2, 0 = 2*d + y - 7 for d.\n' | b'1\n' | b'Suppose -2 + 10 = -4*u - 5*w, -3 = 3*u + 3*w. Suppose 0 = 5*t + r - 12, -u*r + 14 = 5*t - r. Solve d - y = -t*d - 2, 0 = 2*d + y - 7 for d.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify ((v/(v/((v**(34/3)/v)/v)*v*v)*v*v)/v)/(v*v/((v/v**(-2/11))/v)) assuming v is positive.\n' | b'v**(215/33)\n' | b'Simplify ((v/(v/((v**(34/3)/v)/v)*v*v)*v*v)/v)/(v*v/((v/v**(-2/11))/v)) assuming v is positive.\n' | b'v**(215/33)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {p: 3, c: 3, u: 1, n: 3, l: 4, j: 1}. What is prob of sequence ncu?\n' | b'3/910\n' | b'Three letters picked without replacement from {p: 3, c: 3, u: 1, n: 3, l: 4, j: 1}. What is prob of sequence ncu?\n' | b'3/910\n' | deepmind/math_dataset |
b'Let z(u) = -17*u**6 + 25*u**2 + 4. Let m = 20 + -15. Let k(q) = -16*q**6 + 25*q**2 + 5. Let a(t) = m*z(t) - 4*k(t). Find the third derivative of a(n) wrt n.\n' | b'-2520*n**3\n' | b'Let z(u) = -17*u**6 + 25*u**2 + 4. Let m = 20 + -15. Let k(q) = -16*q**6 + 25*q**2 + 5. Let a(t) = m*z(t) - 4*k(t). Find the third derivative of a(n) wrt n.\n' | b'-2520*n**3\n' | deepmind/math_dataset |
b'Let i be (25 - 3 - 0) + 0. Let j be 6/(-15) - i/(-5). Solve 6 + 2 = -4*s, j*s = -5*y + 17 for y.\n' | b'5\n' | b'Let i be (25 - 3 - 0) + 0. Let j be 6/(-15) - i/(-5). Solve 6 + 2 = -4*s, j*s = -5*y + 17 for y.\n' | b'5\n' | deepmind/math_dataset |
b'Simplify (((p/p**(-7))/(p**(-11)*p*p))/((p**34/p)/(p**8/p)))**(-1/81) assuming p is positive.\n' | b'p**(1/9)\n' | b'Simplify (((p/p**(-7))/(p**(-11)*p*p))/((p**34/p)/(p**8/p)))**(-1/81) assuming p is positive.\n' | b'p**(1/9)\n' | deepmind/math_dataset |
b'Let y(h) = -h**2. Suppose 0 = 3*s - 4*s - 6. Let o(r) = 7*r**2 - 2*r. Let j(q) = s*y(q) - o(q). Let k be j(2). Let c(f) = -f**2 + f - 6. What is c(k)?\n' | b'-6\n' | b'Let y(h) = -h**2. Suppose 0 = 3*s - 4*s - 6. Let o(r) = 7*r**2 - 2*r. Let j(q) = s*y(q) - o(q). Let k be j(2). Let c(f) = -f**2 + f - 6. What is c(k)?\n' | b'-6\n' | deepmind/math_dataset |
b'Let j = 14 - 9. Suppose 2*m + 0 - 72 = 0. Let f be (m/(-2) - -1)/(-1). Solve -5*g = 2*s + f, 8 = -0*g - g - j*s for g.\n' | b'-3\n' | b'Let j = 14 - 9. Suppose 2*m + 0 - 72 = 0. Let f be (m/(-2) - -1)/(-1). Solve -5*g = 2*s + f, 8 = -0*g - g - j*s for g.\n' | b'-3\n' | deepmind/math_dataset |
b'What is the second derivative of -1241*u - 733*u - 2377*u + 1703*u**2 + 329*u - 155*u wrt u?\n' | b'3406\n' | b'What is the second derivative of -1241*u - 733*u - 2377*u + 1703*u**2 + 329*u - 155*u wrt u?\n' | b'3406\n' | deepmind/math_dataset |
b'Let l be -10*7/(-245) - 33/(-7). Solve -c + 2 = -l*c + 2*w, 0 = 5*c + w + 13 for c.\n' | b'-2\n' | b'Let l be -10*7/(-245) - 33/(-7). Solve -c + 2 = -l*c + 2*w, 0 = 5*c + w + 13 for c.\n' | b'-2\n' | deepmind/math_dataset |
b'What is prob of picking 3 z and 1 q when four letters picked without replacement from {q: 7, z: 7}?\n' | b'35/143\n' | b'What is prob of picking 3 z and 1 q when four letters picked without replacement from {q: 7, z: 7}?\n' | b'35/143\n' | deepmind/math_dataset |
b'Let u(w) = -w**3 + 2*w**2 - w - 1. Let a be u(2). Let g be (-1 - -1)/(22/(-11)) - a. Solve g*l - 12 = 3*n, -n + 2*n = 4*l - 10 for l.\n' | b'2\n' | b'Let u(w) = -w**3 + 2*w**2 - w - 1. Let a be u(2). Let g be (-1 - -1)/(22/(-11)) - a. Solve g*l - 12 = 3*n, -n + 2*n = 4*l - 10 for l.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify ((l*l*l**1)**41/(l**(2/7))**2)**(1/34) assuming l is positive.\n' | b'l**(857/238)\n' | b'Simplify ((l*l*l**1)**41/(l**(2/7))**2)**(1/34) assuming l is positive.\n' | b'l**(857/238)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {a: 1, p: 5, q: 4, m: 1, w: 1}. What is prob of picking 1 w and 3 q?\n' | b'4/495\n' | b'Four letters picked without replacement from {a: 1, p: 5, q: 4, m: 1, w: 1}. What is prob of picking 1 w and 3 q?\n' | b'4/495\n' | deepmind/math_dataset |
b'Let v(x) = x. Let w be 6/9 + (-3)/(-9). Let g(p) = 4*p**2 + 14*p. Let r(a) = w*g(a) - 12*v(a). What is the second derivative of r(s) wrt s?\n' | b'8\n' | b'Let v(x) = x. Let w be 6/9 + (-3)/(-9). Let g(p) = 4*p**2 + 14*p. Let r(a) = w*g(a) - 12*v(a). What is the second derivative of r(s) wrt s?\n' | b'8\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 l and 1 o when three letters picked without replacement from {l: 5, o: 2}.\n' | b'4/7\n' | b'Calculate prob of picking 2 l and 1 o when three letters picked without replacement from {l: 5, o: 2}.\n' | b'4/7\n' | deepmind/math_dataset |
b'Let c(j) = -j**3 + j + 1. Let z(d) = 42*d**3 - 27*d - 4. Let w(b) = -4*c(b) - z(b). Find the second derivative of w(t) wrt t.\n' | b'-228*t\n' | b'Let c(j) = -j**3 + j + 1. Let z(d) = 42*d**3 - 27*d - 4. Let w(b) = -4*c(b) - z(b). Find the second derivative of w(t) wrt t.\n' | b'-228*t\n' | deepmind/math_dataset |
b'Let r be (-21)/(-9) + 1/(-3). Let t(o) = 2*o**3 - o**3 - 5*o**2 + 9*o - o - r - 3*o. What is t(4)?\n' | b'2\n' | b'Let r be (-21)/(-9) + 1/(-3). Let t(o) = 2*o**3 - o**3 - 5*o**2 + 9*o - o - r - 3*o. What is t(4)?\n' | b'2\n' | deepmind/math_dataset |
b'Simplify v**13*(v/(v/v**(-3)))/v*(v/(v**(-2/17)*v*v)*v)**(-1/5) assuming v is positive.\n' | b'v**(763/85)\n' | b'Simplify v**13*(v/(v/v**(-3)))/v*(v/(v**(-2/17)*v*v)*v)**(-1/5) assuming v is positive.\n' | b'v**(763/85)\n' | deepmind/math_dataset |
b'Simplify (((q/q**1)**(-46)/(q**2*q*q**5*q))**(-8/11))**(-37) assuming q is positive.\n' | b'q**(-2664/11)\n' | b'Simplify (((q/q**1)**(-46)/(q**2*q*q**5*q))**(-8/11))**(-37) assuming q is positive.\n' | b'q**(-2664/11)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {w: 8, z: 3}. Give prob of picking 4 w.\n' | b'7/33\n' | b'Four letters picked without replacement from {w: 8, z: 3}. Give prob of picking 4 w.\n' | b'7/33\n' | deepmind/math_dataset |
b'Simplify (b*b**(-1/9)*b)/b*b**(4/7)*b**3/(b/(((b**(2/11)/b)/b*b)/b*b)) assuming b is positive.\n' | b'b**(1831/693)\n' | b'Simplify (b*b**(-1/9)*b)/b*b**(4/7)*b**3/(b/(((b**(2/11)/b)/b*b)/b*b)) assuming b is positive.\n' | b'b**(1831/693)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 k and 2 u when three letters picked without replacement from kuuuuukkiuuuukuku.\n' | b'55/136\n' | b'Calculate prob of picking 1 k and 2 u when three letters picked without replacement from kuuuuukkiuuuukuku.\n' | b'55/136\n' | deepmind/math_dataset |
b'Let h(k) = 3*k - 23. Let i be h(13). Let x(a) = 14 - 149*a - 50 + 33*a. Let s(u) = -23*u - 7. Let q(y) = i*s(y) - 3*x(y). Differentiate q(c) with respect to c.\n' | b'-20\n' | b'Let h(k) = 3*k - 23. Let i be h(13). Let x(a) = 14 - 149*a - 50 + 33*a. Let s(u) = -23*u - 7. Let q(y) = i*s(y) - 3*x(y). Differentiate q(c) with respect to c.\n' | b'-20\n' | deepmind/math_dataset |
b'Let i be (-10)/20 - (-1 - (-183)/6). Let m be (-27 - i)/(2 - 1). Let r(k) = -4*k + 8. Give r(m).\n' | b'-4\n' | b'Let i be (-10)/20 - (-1 - (-183)/6). Let m be (-27 - i)/(2 - 1). Let r(k) = -4*k + 8. Give r(m).\n' | b'-4\n' | deepmind/math_dataset |
b'What is prob of sequence bkmb when four letters picked without replacement from wkbbbbvbmvwwvkbk?\n' | b'3/1456\n' | b'What is prob of sequence bkmb when four letters picked without replacement from wkbbbbvbmvwwvkbk?\n' | b'3/1456\n' | deepmind/math_dataset |
b'Differentiate 26 + 2*f**2 + 55*f - 55*f wrt f.\n' | b'4*f\n' | b'Differentiate 26 + 2*f**2 + 55*f - 55*f wrt f.\n' | b'4*f\n' | deepmind/math_dataset |
b'Calculate prob of sequence sv when two letters picked without replacement from {x: 1, i: 1, v: 1, a: 6, b: 1, s: 1}.\n' | b'1/110\n' | b'Calculate prob of sequence sv when two letters picked without replacement from {x: 1, i: 1, v: 1, a: 6, b: 1, s: 1}.\n' | b'1/110\n' | deepmind/math_dataset |
b'Suppose 4*n + n - 25 = l, 3*l - 15 = 0. Suppose 2*p - 26 = -n. Find the second derivative of -1 + 18*q**2 + p*q + 1 + 18*q**2 wrt q.\n' | b'72\n' | b'Suppose 4*n + n - 25 = l, 3*l - 15 = 0. Suppose 2*p - 26 = -n. Find the second derivative of -1 + 18*q**2 + p*q + 1 + 18*q**2 wrt q.\n' | b'72\n' | deepmind/math_dataset |
b'What is the second derivative of -7*d**3 - 3*d - d + 5*d**3 - 2*d**3 wrt d?\n' | b'-24*d\n' | b'What is the second derivative of -7*d**3 - 3*d - d + 5*d**3 - 2*d**3 wrt d?\n' | b'-24*d\n' | deepmind/math_dataset |
b'Let x(d) = -21*d**5 - 3*d**2 + 16*d. Suppose 16 = 7*z + 2. Let i(w) = w**5 + w**2 - w. Let b(t) = z*x(t) + 6*i(t). Find the second derivative of b(s) wrt s.\n' | b'-720*s**3\n' | b'Let x(d) = -21*d**5 - 3*d**2 + 16*d. Suppose 16 = 7*z + 2. Let i(w) = w**5 + w**2 - w. Let b(t) = z*x(t) + 6*i(t). Find the second derivative of b(s) wrt s.\n' | b'-720*s**3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {k: 3, j: 1, h: 3, n: 3, l: 1, x: 2}. What is prob of picking 1 h and 3 k?\n' | b'3/715\n' | b'Four letters picked without replacement from {k: 3, j: 1, h: 3, n: 3, l: 1, x: 2}. What is prob of picking 1 h and 3 k?\n' | b'3/715\n' | deepmind/math_dataset |
b'Simplify ((n**(1/8)*n)/n)/n*n**(-2/15)*n**(5/6)/n**(6/5) assuming n is positive.\n' | b'n**(-11/8)\n' | b'Simplify ((n**(1/8)*n)/n)/n*n**(-2/15)*n**(5/6)/n**(6/5) assuming n is positive.\n' | b'n**(-11/8)\n' | deepmind/math_dataset |
b'What is prob of picking 3 m when three letters picked without replacement from kkkkkkkkkmkkmmkmkkkk?\n' | b'1/285\n' | b'What is prob of picking 3 m when three letters picked without replacement from kkkkkkkkkmkkmmkmkkkk?\n' | b'1/285\n' | deepmind/math_dataset |
b'Suppose -4*w = -5*w + 50. Suppose -27*v + w = -22*v. Let r(l) = -l + 6. Let i be r(3). Solve -i*y + v = -c, 0 = -5*c - 5*y + 26 + 4 for c.\n' | b'2\n' | b'Suppose -4*w = -5*w + 50. Suppose -27*v + w = -22*v. Let r(l) = -l + 6. Let i be r(3). Solve -i*y + v = -c, 0 = -5*c - 5*y + 26 + 4 for c.\n' | b'2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from kjkojjjkojkjkkjoj. Give prob of sequence jojo.\n' | b'1/170\n' | b'Four letters picked without replacement from kjkojjjkojkjkkjoj. Give prob of sequence jojo.\n' | b'1/170\n' | deepmind/math_dataset |
b'Simplify (a**(3/4))**(-18) assuming a is positive.\n' | b'a**(-27/2)\n' | b'Simplify (a**(3/4))**(-18) assuming a is positive.\n' | b'a**(-27/2)\n' | deepmind/math_dataset |
b'Suppose 6*y + f = 26 + 3, 5*f - 45 = -5*y. Solve 2*m - 10 = y*u, -8*u - 11 = -4*u - 3*m for u.\n' | b'-2\n' | b'Suppose 6*y + f = 26 + 3, 5*f - 45 = -5*y. Solve 2*m - 10 = y*u, -8*u - 11 = -4*u - 3*m for u.\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify (r/r**(-1/15)*r**(2/11)*r**(-2/13)/(r*r*r**(-2/41)*r))**37 assuming r is positive.\n' | b'r**(-6041249/87945)\n' | b'Simplify (r/r**(-1/15)*r**(2/11)*r**(-2/13)/(r*r*r**(-2/41)*r))**37 assuming r is positive.\n' | b'r**(-6041249/87945)\n' | deepmind/math_dataset |
b'Simplify (q**1)**(-22)/(q**(-3/7)/(q**2*q*q))*((q/(q/(q*q*(q/q**(-2))/q)))/q*q/(q**6*q))**(-2/7) assuming q is positive.\n' | b'q**(-117/7)\n' | b'Simplify (q**1)**(-22)/(q**(-3/7)/(q**2*q*q))*((q/(q/(q*q*(q/q**(-2))/q)))/q*q/(q**6*q))**(-2/7) assuming q is positive.\n' | b'q**(-117/7)\n' | deepmind/math_dataset |
b'Suppose -10 - 8 = -3*d. Let g(s) = 2*s**2 + 17*s - 523. Let j be g(-21). Solve -n - 4 = -2*l, -5*n + j*l - d - 14 = 0 for n.\n' | b'-4\n' | b'Suppose -10 - 8 = -3*d. Let g(s) = 2*s**2 + 17*s - 523. Let j be g(-21). Solve -n - 4 = -2*l, -5*n + j*l - d - 14 = 0 for n.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify ((y*y*y/(y**(1/16)/y))/y*y*y*y*y*y*y/y**(-38)*y)**(5/9) assuming y is positive.\n' | b'y**(3835/144)\n' | b'Simplify ((y*y*y/(y**(1/16)/y))/y*y*y*y*y*y*y/y**(-38)*y)**(5/9) assuming y is positive.\n' | b'y**(3835/144)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {o: 2, c: 3, m: 1, j: 1, q: 4, i: 1}. Give prob of picking 1 m, 1 j, 1 i, and 1 q.\n' | b'4/495\n' | b'Four letters picked without replacement from {o: 2, c: 3, m: 1, j: 1, q: 4, i: 1}. Give prob of picking 1 m, 1 j, 1 i, and 1 q.\n' | b'4/495\n' | deepmind/math_dataset |
b'Suppose 88 = -0*g + 2*g. Suppose -4*z = -5*a + 9 - g, -11 = 2*a - z. Let s(m) = 2*m + 1. Determine s(a).\n' | b'-5\n' | b'Suppose 88 = -0*g + 2*g. Suppose -4*z = -5*a + 9 - g, -11 = 2*a - z. Let s(m) = 2*m + 1. Determine s(a).\n' | b'-5\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 p and 2 i when four letters picked without replacement from hihphpphhihiph.\n' | b'18/1001\n' | b'Calculate prob of picking 2 p and 2 i when four letters picked without replacement from hihphpphhihiph.\n' | b'18/1001\n' | deepmind/math_dataset |
b'Let n(u) = -u**2 + 8*u - 2. Let t be (-2 - -71*2)*36/(-30). Let i = -161 - t. Give n(i).\n' | b'5\n' | b'Let n(u) = -u**2 + 8*u - 2. Let t be (-2 - -71*2)*36/(-30). Let i = -161 - t. Give n(i).\n' | b'5\n' | deepmind/math_dataset |
b'Let i(c) = c**2 - 6*c - 6. Let o(s) = s**3 + s**2 - 8. Let n(l) = l - 1. Let r(z) = 5*n(z) - o(z). Let m = 4 - 7. Let t be r(m). What is i(t)?\n' | b'-6\n' | b'Let i(c) = c**2 - 6*c - 6. Let o(s) = s**3 + s**2 - 8. Let n(l) = l - 1. Let r(z) = 5*n(z) - o(z). Let m = 4 - 7. Let t be r(m). What is i(t)?\n' | b'-6\n' | deepmind/math_dataset |
b'Let q(w) = -w + 2. Let d be q(-2). What is the third derivative of i**3 + i**6 + d*i**2 - 5*i**2 - i**3 wrt i?\n' | b'120*i**3\n' | b'Let q(w) = -w + 2. Let d be q(-2). What is the third derivative of i**3 + i**6 + d*i**2 - 5*i**2 - i**3 wrt i?\n' | b'120*i**3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from oqlhhxh. What is prob of picking 1 h and 1 o?\n' | b'1/7\n' | b'Two letters picked without replacement from oqlhhxh. What is prob of picking 1 h and 1 o?\n' | b'1/7\n' | deepmind/math_dataset |
b'Simplify ((m**(6/13)/(m*m**(5/6)))/((m/(m/m**(-10/7))*m)/m*(m/(m*m**6*m*m))/m))**(1/3) assuming m is positive.\n' | b'm**(4945/1638)\n' | b'Simplify ((m**(6/13)/(m*m**(5/6)))/((m/(m/m**(-10/7))*m)/m*(m/(m*m**6*m*m))/m))**(1/3) assuming m is positive.\n' | b'm**(4945/1638)\n' | deepmind/math_dataset |
b'What is prob of picking 1 r and 1 l when two letters picked without replacement from lgrvnrz?\n' | b'2/21\n' | b'What is prob of picking 1 r and 1 l when two letters picked without replacement from lgrvnrz?\n' | b'2/21\n' | deepmind/math_dataset |
b'Let q(h) be the first derivative of 1/4*h**4 + 10 - h + 5/2*h**2 - 2*h**3. Give q(5).\n' | b'-1\n' | b'Let q(h) be the first derivative of 1/4*h**4 + 10 - h + 5/2*h**2 - 2*h**3. Give q(5).\n' | b'-1\n' | deepmind/math_dataset |
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