question stringlengths 40 165 | answer stringlengths 6 35 | instruction_seed stringlengths 40 165 | response_seed stringlengths 6 35 | _source stringclasses 1 value |
|---|---|---|---|---|
b'Simplify (p/p**(-5))**42/(p**(-17)/p**(5/2)) assuming p is positive.\n' | b'p**(543/2)\n' | b'Simplify (p/p**(-5))**42/(p**(-17)/p**(5/2)) assuming p is positive.\n' | b'p**(543/2)\n' | deepmind/math_dataset |
b'Let d be (0 - -2) + (-2)/(-1). Let l be (-3 - -1)*d + 2. Let y = 4 - l. Solve -4*v = 3*n + 26, 0 = 2*n + 3*n + y for v.\n' | b'-5\n' | b'Let d be (0 - -2) + (-2)/(-1). Let l be (-3 - -1)*d + 2. Let y = 4 - l. Solve -4*v = 3*n + 26, 0 = 2*n + 3*n + y for v.\n' | b'-5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from euyyzeeyyyyy. What is prob of sequence uy?\n' | b'7/132\n' | b'Two letters picked without replacement from euyyzeeyyyyy. What is prob of sequence uy?\n' | b'7/132\n' | deepmind/math_dataset |
b'Two letters picked without replacement from nnyynynnnn. What is prob of sequence yn?\n' | b'7/30\n' | b'Two letters picked without replacement from nnyynynnnn. What is prob of sequence yn?\n' | b'7/30\n' | deepmind/math_dataset |
b'Let c = -2260 + 2264. Let u(g) = -11*g + 9. What is u(c)?\n' | b'-35\n' | b'Let c = -2260 + 2264. Let u(g) = -11*g + 9. What is u(c)?\n' | b'-35\n' | deepmind/math_dataset |
b'Let c = -13699 - -13746. Solve 4*g + 8 = 2*j, c - 38 = -g + 4*j for g.\n' | b'-1\n' | b'Let c = -13699 - -13746. Solve 4*g + 8 = 2*j, c - 38 = -g + 4*j for g.\n' | b'-1\n' | deepmind/math_dataset |
b'Let h(n) = -78*n**2 + 35*n**2 + 45*n**2 - n + 6*n**3. Calculate h(2).\n' | b'54\n' | b'Let h(n) = -78*n**2 + 35*n**2 + 45*n**2 - n + 6*n**3. Calculate h(2).\n' | b'54\n' | deepmind/math_dataset |
b'What is prob of picking 3 v when three letters picked without replacement from vvfvvvvvvvvfvfff?\n' | b'33/112\n' | b'What is prob of picking 3 v when three letters picked without replacement from vvfvvvvvvvvfvfff?\n' | b'33/112\n' | deepmind/math_dataset |
b'Three letters picked without replacement from mhhmmmm. What is prob of picking 2 m and 1 h?\n' | b'4/7\n' | b'Three letters picked without replacement from mhhmmmm. What is prob of picking 2 m and 1 h?\n' | b'4/7\n' | deepmind/math_dataset |
b'Let u(j) be the first derivative of -13*j**7/7 - 3*j**3 - 9. What is the third derivative of u(m) wrt m?\n' | b'-1560*m**3\n' | b'Let u(j) be the first derivative of -13*j**7/7 - 3*j**3 - 9. What is the third derivative of u(m) wrt m?\n' | b'-1560*m**3\n' | deepmind/math_dataset |
b'Calculate prob of sequence tl when two letters picked without replacement from {c: 2, l: 5, i: 3, t: 7, u: 1}.\n' | b'35/306\n' | b'Calculate prob of sequence tl when two letters picked without replacement from {c: 2, l: 5, i: 3, t: 7, u: 1}.\n' | b'35/306\n' | deepmind/math_dataset |
b'What is prob of sequence wig when three letters picked without replacement from {w: 6, g: 4, i: 1}?\n' | b'4/165\n' | b'What is prob of sequence wig when three letters picked without replacement from {w: 6, g: 4, i: 1}?\n' | b'4/165\n' | deepmind/math_dataset |
b'Simplify m/m**(-7)*m**(-2/11)/m*((m/(m/(m/(m*m**39))))/m)/m*m**(-1/4) assuming m is positive.\n' | b'm**(-1515/44)\n' | b'Simplify m/m**(-7)*m**(-2/11)/m*((m/(m/(m/(m*m**39))))/m)/m*m**(-1/4) assuming m is positive.\n' | b'm**(-1515/44)\n' | deepmind/math_dataset |
b'Let j be 1 - 2 - 66/(-6). Let w = j + -8. Suppose -5*k - 3*h + 30 = -2*k, -4*k + 10 = -w*h. Solve 2*v - 14 + 1 = k*m, -5*m = -v + 14 for m.\n' | b'-3\n' | b'Let j be 1 - 2 - 66/(-6). Let w = j + -8. Suppose -5*k - 3*h + 30 = -2*k, -4*k + 10 = -w*h. Solve 2*v - 14 + 1 = k*m, -5*m = -v + 14 for m.\n' | b'-3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {q: 7, o: 3, u: 2, y: 1, h: 4}. Give prob of picking 2 o.\n' | b'3/136\n' | b'Two letters picked without replacement from {q: 7, o: 3, u: 2, y: 1, h: 4}. Give prob of picking 2 o.\n' | b'3/136\n' | deepmind/math_dataset |
b'Simplify (((q*q*q/q**(-3/4))**(-10/7))**(-5/2))**(-36) assuming q is positive.\n' | b'q**(-3375/7)\n' | b'Simplify (((q*q*q/q**(-3/4))**(-10/7))**(-5/2))**(-36) assuming q is positive.\n' | b'q**(-3375/7)\n' | deepmind/math_dataset |
b'What is the second derivative of 25*h**5 + 15*h - 13*h**5 - 36*h**5 wrt h?\n' | b'-480*h**3\n' | b'What is the second derivative of 25*h**5 + 15*h - 13*h**5 - 36*h**5 wrt h?\n' | b'-480*h**3\n' | deepmind/math_dataset |
b'Simplify (h/h**3)**(-28/5) assuming h is positive.\n' | b'h**(56/5)\n' | b'Simplify (h/h**3)**(-28/5) assuming h is positive.\n' | b'h**(56/5)\n' | deepmind/math_dataset |
b'Calculate prob of sequence xxm when three letters picked without replacement from dmxrrjxm.\n' | b'1/84\n' | b'Calculate prob of sequence xxm when three letters picked without replacement from dmxrrjxm.\n' | b'1/84\n' | deepmind/math_dataset |
b'Let f = -31 + 34. Suppose -5*j + 2 = -4*j - a, -6 = -f*j + a. Solve 5*b + j*z = 8, 5*z = -4*b + 7 + 13 for b.\n' | b'0\n' | b'Let f = -31 + 34. Suppose -5*j + 2 = -4*j - a, -6 = -f*j + a. Solve 5*b + j*z = 8, 5*z = -4*b + 7 + 13 for b.\n' | b'0\n' | deepmind/math_dataset |
b'Let m(t) = -t + 5. Let y be m(5). Suppose 2*d + 4 = 4*l - 10, 2*l + 2*d - 4 = y. Find the first derivative of 0*k**l + k**3 + k**3 - 5 + 6*k**3 wrt k.\n' | b'24*k**2\n' | b'Let m(t) = -t + 5. Let y be m(5). Suppose 2*d + 4 = 4*l - 10, 2*l + 2*d - 4 = y. Find the first derivative of 0*k**l + k**3 + k**3 - 5 + 6*k**3 wrt k.\n' | b'24*k**2\n' | deepmind/math_dataset |
b'Find the first derivative of 12 + 18 - 24*k**2 - 10 - 3*k**2 wrt k.\n' | b'-54*k\n' | b'Find the first derivative of 12 + 18 - 24*k**2 - 10 - 3*k**2 wrt k.\n' | b'-54*k\n' | deepmind/math_dataset |
b'Let d be 110/275*30/(-8)*-2. Let z(s) be the first derivative of 0*s + 5/2*s**2 + 0*s**d + s**5 - 6 + 0*s**4. What is the second derivative of z(b) wrt b?\n' | b'60*b**2\n' | b'Let d be 110/275*30/(-8)*-2. Let z(s) be the first derivative of 0*s + 5/2*s**2 + 0*s**d + s**5 - 6 + 0*s**4. What is the second derivative of z(b) wrt b?\n' | b'60*b**2\n' | deepmind/math_dataset |
b'Let y = -98 - -104. Let u(v) be the second derivative of 1/30*v**y + 0*v**2 + 0 + 0*v**5 + 0*v**4 + 4*v - 1/6*v**3. What is the second derivative of u(q) wrt q?\n' | b'12*q**2\n' | b'Let y = -98 - -104. Let u(v) be the second derivative of 1/30*v**y + 0*v**2 + 0 + 0*v**5 + 0*v**4 + 4*v - 1/6*v**3. What is the second derivative of u(q) wrt q?\n' | b'12*q**2\n' | deepmind/math_dataset |
b'Let z(d) = 437*d**4 - 6*d**2 + 6*d - 328. Let t(u) = -1310*u**4 + 20*u**2 - 20*u + 984. Let l(g) = -3*t(g) - 10*z(g). Differentiate l(n) with respect to n.\n' | b'-1760*n**3\n' | b'Let z(d) = 437*d**4 - 6*d**2 + 6*d - 328. Let t(u) = -1310*u**4 + 20*u**2 - 20*u + 984. Let l(g) = -3*t(g) - 10*z(g). Differentiate l(n) with respect to n.\n' | b'-1760*n**3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {p: 5, h: 2, y: 2, f: 3}. Give prob of picking 1 h, 2 f, and 1 p.\n' | b'2/33\n' | b'Four letters picked without replacement from {p: 5, h: 2, y: 2, f: 3}. Give prob of picking 1 h, 2 f, and 1 p.\n' | b'2/33\n' | deepmind/math_dataset |
b'Let z = -69 - -104. Solve -4*w - 5*i = z, -11 = 4*w - 2*i - i for w.\n' | b'-5\n' | b'Let z = -69 - -104. Solve -4*w - 5*i = z, -11 = 4*w - 2*i - i for w.\n' | b'-5\n' | deepmind/math_dataset |
b'Let z(j) = -j**3 - 16*j**2 - 57*j - 20. Let v be z(-11). Solve -3*s = 5*t + 14, v*t - 4*s + 0 - 10 = 0 for t.\n' | b'-1\n' | b'Let z(j) = -j**3 - 16*j**2 - 57*j - 20. Let v be z(-11). Solve -3*s = 5*t + 14, v*t - 4*s + 0 - 10 = 0 for t.\n' | b'-1\n' | deepmind/math_dataset |
b'Let q = -28 - -12. Let r(x) = -x**2 + 10*x - 12. Let s be r(6). Let z be ((-30)/4)/(s/q). Solve 2*m + 16 = 4*b + 4*m, -2*b + z = 2*m for b.\n' | b'3\n' | b'Let q = -28 - -12. Let r(x) = -x**2 + 10*x - 12. Let s be r(6). Let z be ((-30)/4)/(s/q). Solve 2*m + 16 = 4*b + 4*m, -2*b + z = 2*m for b.\n' | b'3\n' | deepmind/math_dataset |
b'What is prob of sequence eq when two letters picked without replacement from {l: 1, f: 2, e: 1, q: 2, j: 1}?\n' | b'1/21\n' | b'What is prob of sequence eq when two letters picked without replacement from {l: 1, f: 2, e: 1, q: 2, j: 1}?\n' | b'1/21\n' | deepmind/math_dataset |
b'Four letters picked without replacement from lqlquuqu. Give prob of sequence ulqu.\n' | b'3/140\n' | b'Four letters picked without replacement from lqlquuqu. Give prob of sequence ulqu.\n' | b'3/140\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {a: 1, f: 1, e: 1, s: 2}. Give prob of sequence ssa.\n' | b'1/30\n' | b'Three letters picked without replacement from {a: 1, f: 1, e: 1, s: 2}. Give prob of sequence ssa.\n' | b'1/30\n' | deepmind/math_dataset |
b'Suppose 4*a - 2*r - 50 = 0, 2*a = -2*r + 40 - 0. Suppose x + 0*x = u + 1, -4*u = -3*x. Solve -5*t = -5*m + 15, t = 6*t + u*m + a for t.\n' | b'-3\n' | b'Suppose 4*a - 2*r - 50 = 0, 2*a = -2*r + 40 - 0. Suppose x + 0*x = u + 1, -4*u = -3*x. Solve -5*t = -5*m + 15, t = 6*t + u*m + a for t.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify (c*c**3)**(22/3) assuming c is positive.\n' | b'c**(88/3)\n' | b'Simplify (c*c**3)**(22/3) assuming c is positive.\n' | b'c**(88/3)\n' | deepmind/math_dataset |
b'What is prob of picking 1 k and 1 y when two letters picked without replacement from kelylyvz?\n' | b'1/14\n' | b'What is prob of picking 1 k and 1 y when two letters picked without replacement from kelylyvz?\n' | b'1/14\n' | deepmind/math_dataset |
b'What is the second derivative of -35*f + 2*f**4 + 8026*f**3 - 8026*f**3 wrt f?\n' | b'24*f**2\n' | b'What is the second derivative of -35*f + 2*f**4 + 8026*f**3 - 8026*f**3 wrt f?\n' | b'24*f**2\n' | deepmind/math_dataset |
b'What is the second derivative of -4359 + 533*s - 4829*s + 4359 - 8541*s**2 + 817*s wrt s?\n' | b'-17082\n' | b'What is the second derivative of -4359 + 533*s - 4829*s + 4359 - 8541*s**2 + 817*s wrt s?\n' | b'-17082\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {h: 3, u: 10, v: 2, o: 2, g: 2}. Give prob of sequence uh.\n' | b'5/57\n' | b'Two letters picked without replacement from {h: 3, u: 10, v: 2, o: 2, g: 2}. Give prob of sequence uh.\n' | b'5/57\n' | deepmind/math_dataset |
b'Suppose -h = 5*k - 47 - 3, 185 = 4*h + 5*k. Let c = -43 + h. Solve -5*v - c*w - 7 = 8, -3 = v - 3*w for v.\n' | b'-3\n' | b'Suppose -h = 5*k - 47 - 3, 185 = 4*h + 5*k. Let c = -43 + h. Solve -5*v - c*w - 7 = 8, -3 = v - 3*w for v.\n' | b'-3\n' | deepmind/math_dataset |
b'Let p = 9 - 16. Let z = p + 7. Let b be 1 - (6/(-2) - -2). Solve 5*a - 2*q - 10 = z, -a + 2*q - b = -12 for a.\n' | b'0\n' | b'Let p = 9 - 16. Let z = p + 7. Let b be 1 - (6/(-2) - -2). Solve 5*a - 2*q - 10 = z, -a + 2*q - b = -12 for a.\n' | b'0\n' | deepmind/math_dataset |
b'Suppose 23*h + 59 - 312 = 0. Let p be 8/(h + -7) - -2. Solve q = 3*g + 5*q - 21, -p*q = -5*g + 3 for g.\n' | b'3\n' | b'Suppose 23*h + 59 - 312 = 0. Let p be 8/(h + -7) - -2. Solve q = 3*g + 5*q - 21, -p*q = -5*g + 3 for g.\n' | b'3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ooooooooo. Give prob of sequence oooo.\n' | b'1\n' | b'Four letters picked without replacement from ooooooooo. Give prob of sequence oooo.\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 t and 1 s when three letters picked without replacement from sstst.\n' | b'3/10\n' | b'Calculate prob of picking 2 t and 1 s when three letters picked without replacement from sstst.\n' | b'3/10\n' | deepmind/math_dataset |
b'Two letters picked without replacement from vxdfdvtttrtrddf. Give prob of picking 1 d and 1 v.\n' | b'8/105\n' | b'Two letters picked without replacement from vxdfdvtttrtrddf. Give prob of picking 1 d and 1 v.\n' | b'8/105\n' | deepmind/math_dataset |
b'Suppose -4*r + 3*t = -15, -2*r + 0*t + 3*t + 9 = 0. Solve -3*a + 4*s = 26, 0 = -3*a + a + r*s - 19 for a.\n' | b'-2\n' | b'Suppose -4*r + 3*t = -15, -2*r + 0*t + 3*t + 9 = 0. Solve -3*a + 4*s = 26, 0 = -3*a + a + r*s - 19 for a.\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify ((w**(1/2)/(w/((w**(-1/7)*w)/w)))**(6/23))**20 assuming w is positive.\n' | b'w**(-540/161)\n' | b'Simplify ((w**(1/2)/(w/((w**(-1/7)*w)/w)))**(6/23))**20 assuming w is positive.\n' | b'w**(-540/161)\n' | deepmind/math_dataset |
b'Let x(o) = 2*o - 4. Suppose 108*r - 109*r - l - 11 = 0, -3*l = -5*r - 31. Calculate x(r).\n' | b'-20\n' | b'Let x(o) = 2*o - 4. Suppose 108*r - 109*r - l - 11 = 0, -3*l = -5*r - 31. Calculate x(r).\n' | b'-20\n' | deepmind/math_dataset |
b'Simplify (g/(g*g**(2/3)))**(-28)*g**7*g**4 assuming g is positive.\n' | b'g**(89/3)\n' | b'Simplify (g/(g*g**(2/3)))**(-28)*g**7*g**4 assuming g is positive.\n' | b'g**(89/3)\n' | deepmind/math_dataset |
b'What is prob of sequence mmm when three letters picked without replacement from mmm?\n' | b'1\n' | b'What is prob of sequence mmm when three letters picked without replacement from mmm?\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of sequence ddd when three letters picked without replacement from {h: 5, d: 11}?\n' | b'33/112\n' | b'What is prob of sequence ddd when three letters picked without replacement from {h: 5, d: 11}?\n' | b'33/112\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 d and 1 v when two letters picked without replacement from {d: 2, w: 1, g: 1, v: 4, m: 1}.\n' | b'2/9\n' | b'Calculate prob of picking 1 d and 1 v when two letters picked without replacement from {d: 2, w: 1, g: 1, v: 4, m: 1}.\n' | b'2/9\n' | deepmind/math_dataset |
b'Let r(n) = 3*n**2 - 5*n - 3. Let h(d) = -d + 6. Let a be h(3). Let g be r(a). Let f(b) = b**2 - 9*b + 6. Give f(g).\n' | b'6\n' | b'Let r(n) = 3*n**2 - 5*n - 3. Let h(d) = -d + 6. Let a be h(3). Let g be r(a). Let f(b) = b**2 - 9*b + 6. Give f(g).\n' | b'6\n' | deepmind/math_dataset |
b'Four letters picked without replacement from eztczeezetrcuzr. Give prob of picking 1 t, 1 z, 1 e, and 1 c.\n' | b'64/1365\n' | b'Four letters picked without replacement from eztczeezetrcuzr. Give prob of picking 1 t, 1 z, 1 e, and 1 c.\n' | b'64/1365\n' | deepmind/math_dataset |
b'Let a be (9/(-15))/((-2)/10). Suppose -2*j = k + 2*j + 8, a*k + 34 = -2*j. Let p be 40/k*(-12)/(-10) + 30. Solve -4*s + p = -5*v, 3*v - 5*s = -1 - 25 for v.\n' | b'-2\n' | b'Let a be (9/(-15))/((-2)/10). Suppose -2*j = k + 2*j + 8, a*k + 34 = -2*j. Let p be 40/k*(-12)/(-10) + 30. Solve -4*s + p = -5*v, 3*v - 5*s = -1 - 25 for v.\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify ((s*s**10)/s)/((((s*s**(2/19)/s)/s*s)/s*s)/s) assuming s is positive.\n' | b's**(207/19)\n' | b'Simplify ((s*s**10)/s)/((((s*s**(2/19)/s)/s*s)/s*s)/s) assuming s is positive.\n' | b's**(207/19)\n' | deepmind/math_dataset |
b'Let r(m) = m**2 - m - 2. Suppose 17 - 37 = 5*s. What is r(s)?\n' | b'18\n' | b'Let r(m) = m**2 - m - 2. Suppose 17 - 37 = 5*s. What is r(s)?\n' | b'18\n' | deepmind/math_dataset |
b'Calculate prob of sequence klk when three letters picked without replacement from {j: 1, k: 2, l: 1}.\n' | b'1/12\n' | b'Calculate prob of sequence klk when three letters picked without replacement from {j: 1, k: 2, l: 1}.\n' | b'1/12\n' | deepmind/math_dataset |
b'Calculate prob of sequence jfjf when four letters picked without replacement from {f: 3, j: 2}.\n' | b'1/10\n' | b'Calculate prob of sequence jfjf when four letters picked without replacement from {f: 3, j: 2}.\n' | b'1/10\n' | deepmind/math_dataset |
b'Let r(t) = -3*t - 9. Let p be (-1)/2*66/11. Let f(k) = 3*k + 8. Let o(w) = p*r(w) - 2*f(w). What is the derivative of o(m) wrt m?\n' | b'3\n' | b'Let r(t) = -3*t - 9. Let p be (-1)/2*66/11. Let f(k) = 3*k + 8. Let o(w) = p*r(w) - 2*f(w). What is the derivative of o(m) wrt m?\n' | b'3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from vupvpie. Give prob of sequence uv.\n' | b'1/21\n' | b'Two letters picked without replacement from vupvpie. Give prob of sequence uv.\n' | b'1/21\n' | deepmind/math_dataset |
b'Two letters picked without replacement from iiullqququulqulz. What is prob of sequence iq?\n' | b'1/30\n' | b'Two letters picked without replacement from iiullqququulqulz. What is prob of sequence iq?\n' | b'1/30\n' | deepmind/math_dataset |
b'Suppose 5*w - 35 = 5*j, 6*w + j = w + 23. Let g = w + -5. Solve g = 4*a - 20, -3 + 2 = 3*k - 2*a for k.\n' | b'3\n' | b'Suppose 5*w - 35 = 5*j, 6*w + j = w + 23. Let g = w + -5. Solve g = 4*a - 20, -3 + 2 = 3*k - 2*a for k.\n' | b'3\n' | deepmind/math_dataset |
b'Let h(d) = -d**2 + d - 4. Let x(t) = t**3 - 3*t**2 - 11*t + 8. Let q = 5 - 0. Let b be x(q). Calculate h(b).\n' | b'-10\n' | b'Let h(d) = -d**2 + d - 4. Let x(t) = t**3 - 3*t**2 - 11*t + 8. Let q = 5 - 0. Let b be x(q). Calculate h(b).\n' | b'-10\n' | deepmind/math_dataset |
b'Simplify ((r*r**13*r)/r*r)/(r*r/(r/r**(5/7)*r*r)*r)*(r**0)**(-21) assuming r is positive.\n' | b'r**(100/7)\n' | b'Simplify ((r*r**13*r)/r*r)/(r*r/(r/r**(5/7)*r*r)*r)*(r**0)**(-21) assuming r is positive.\n' | b'r**(100/7)\n' | deepmind/math_dataset |
b'Let z(m) = 0 - 2*m + 4 + 2. Let j be z(0). Let k be 10/(-120)*9*8/(-2). Solve j = -c + 5*a, -c + k + 3 = a for c.\n' | b'4\n' | b'Let z(m) = 0 - 2*m + 4 + 2. Let j be z(0). Let k be 10/(-120)*9*8/(-2). Solve j = -c + 5*a, -c + k + 3 = a for c.\n' | b'4\n' | deepmind/math_dataset |
b'Let o(p) = p**3 - 14*p**2 - 34*p + 17. Let z = -9834 + 9850. What is o(z)?\n' | b'-15\n' | b'Let o(p) = p**3 - 14*p**2 - 34*p + 17. Let z = -9834 + 9850. What is o(z)?\n' | b'-15\n' | deepmind/math_dataset |
b'Four letters picked without replacement from aateaaaibiiiaaaiat. Give prob of sequence ieat.\n' | b'1/816\n' | b'Four letters picked without replacement from aateaaaibiiiaaaiat. Give prob of sequence ieat.\n' | b'1/816\n' | deepmind/math_dataset |
b'Suppose 3*q + 2*s - 25 = 0, -2 + 4 = -2*s. Let p(y) = y**3 - 9*y**2 - 1. Let c be p(q). Let x(f) be the first derivative of 2*f**4 + f**3/3 - f - 2. Give x(c).\n' | b'-8\n' | b'Suppose 3*q + 2*s - 25 = 0, -2 + 4 = -2*s. Let p(y) = y**3 - 9*y**2 - 1. Let c be p(q). Let x(f) be the first derivative of 2*f**4 + f**3/3 - f - 2. Give x(c).\n' | b'-8\n' | deepmind/math_dataset |
b'Suppose 3*z = -m, 4*m = -3*z + 7*z - 16. Suppose z + 14 = 5*y. Solve y*j + 5*s = 11, j - s + 7 = -0*j for j.\n' | b'-3\n' | b'Suppose 3*z = -m, 4*m = -3*z + 7*z - 16. Suppose z + 14 = 5*y. Solve y*j + 5*s = 11, j - s + 7 = -0*j for j.\n' | b'-3\n' | deepmind/math_dataset |
b'Calculate prob of sequence njon when four letters picked without replacement from {t: 1, o: 1, j: 1, n: 2}.\n' | b'1/60\n' | b'Calculate prob of sequence njon when four letters picked without replacement from {t: 1, o: 1, j: 1, n: 2}.\n' | b'1/60\n' | deepmind/math_dataset |
b'Let o(n) = -n**2 + 8*n + 22. Let q be o(10). What is the first derivative of q*l**4 - 9*l**4 + 10 + 22*l**4 + 1 wrt l?\n' | b'60*l**3\n' | b'Let o(n) = -n**2 + 8*n + 22. Let q be o(10). What is the first derivative of q*l**4 - 9*l**4 + 10 + 22*l**4 + 1 wrt l?\n' | b'60*l**3\n' | deepmind/math_dataset |
b'Simplify ((t**(-1/2))**(-31))**(-32) assuming t is positive.\n' | b't**(-496)\n' | b'Simplify ((t**(-1/2))**(-31))**(-32) assuming t is positive.\n' | b't**(-496)\n' | deepmind/math_dataset |
b'Let m(d) be the third derivative of -727*d**7/210 + 167*d**3/6 - 2312*d**2. Find the first derivative of m(t) wrt t.\n' | b'-2908*t**3\n' | b'Let m(d) be the third derivative of -727*d**7/210 + 167*d**3/6 - 2312*d**2. Find the first derivative of m(t) wrt t.\n' | b'-2908*t**3\n' | deepmind/math_dataset |
b'Let b(k) = -329*k**2 + 8*k - 400. Let m(q) = -6251*q**2 + 154*q - 7602. Let o(f) = 77*b(f) - 4*m(f). What is the derivative of o(n) wrt n?\n' | b'-658*n\n' | b'Let b(k) = -329*k**2 + 8*k - 400. Let m(q) = -6251*q**2 + 154*q - 7602. Let o(f) = 77*b(f) - 4*m(f). What is the derivative of o(n) wrt n?\n' | b'-658*n\n' | deepmind/math_dataset |
b'Calculate prob of sequence sx when two letters picked without replacement from vsxsvxvxvsxxvsx.\n' | b'4/35\n' | b'Calculate prob of sequence sx when two letters picked without replacement from vsxsvxvxvsxxvsx.\n' | b'4/35\n' | deepmind/math_dataset |
b'Two letters picked without replacement from jcecvsed. Give prob of sequence js.\n' | b'1/56\n' | b'Two letters picked without replacement from jcecvsed. Give prob of sequence js.\n' | b'1/56\n' | deepmind/math_dataset |
b'Simplify (((h**(-38)/h*h*h**(-1/9)*h)**(-19))**(-42/5))**(-8/9) assuming h is positive.\n' | b'h**(710752/135)\n' | b'Simplify (((h**(-38)/h*h*h**(-1/9)*h)**(-19))**(-42/5))**(-8/9) assuming h is positive.\n' | b'h**(710752/135)\n' | deepmind/math_dataset |
b'Suppose -3*h + 221 = -r, -5 = 2*r - 7*r. Let t = 130 - h. Suppose -t = -11*d - 23. Solve 0*z + 19 = 5*x - 2*z, -4*z = d*x - 1 for x.\n' | b'3\n' | b'Suppose -3*h + 221 = -r, -5 = 2*r - 7*r. Let t = 130 - h. Suppose -t = -11*d - 23. Solve 0*z + 19 = 5*x - 2*z, -4*z = d*x - 1 for x.\n' | b'3\n' | deepmind/math_dataset |
b'Calculate prob of sequence xa when two letters picked without replacement from zeeyayxyzyyyye.\n' | b'1/182\n' | b'Calculate prob of sequence xa when two letters picked without replacement from zeeyayxyzyyyye.\n' | b'1/182\n' | deepmind/math_dataset |
b'Let h(d) = 72*d + 63. Let l be h(-1). Let w(y) = -y**2 - 9*y - 6. Calculate w(l).\n' | b'-6\n' | b'Let h(d) = 72*d + 63. Let l be h(-1). Let w(y) = -y**2 - 9*y - 6. Calculate w(l).\n' | b'-6\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {q: 2, l: 2, y: 1}. Give prob of sequence qll.\n' | b'1/15\n' | b'Three letters picked without replacement from {q: 2, l: 2, y: 1}. Give prob of sequence qll.\n' | b'1/15\n' | deepmind/math_dataset |
b'Suppose 5*z + 5*q - 7 = 3, 4*z = -3*q + 9. Suppose -2 + 1 = z*l - 2*v, -v + 2 = -l. Find the first derivative of -10*s**3 - 3 + 1 + 16*s**l wrt s.\n' | b'18*s**2\n' | b'Suppose 5*z + 5*q - 7 = 3, 4*z = -3*q + 9. Suppose -2 + 1 = z*l - 2*v, -v + 2 = -l. Find the first derivative of -10*s**3 - 3 + 1 + 16*s**l wrt s.\n' | b'18*s**2\n' | deepmind/math_dataset |
b'Simplify (b*b/b**(4/3))**(3/7) assuming b is positive.\n' | b'b**(2/7)\n' | b'Simplify (b*b/b**(4/3))**(3/7) assuming b is positive.\n' | b'b**(2/7)\n' | deepmind/math_dataset |
b'Let k(l) = -410*l**2 - 11*l + 370. Let n(m) = -204*m**2 - 6*m + 185. Let j(q) = 4*k(q) - 7*n(q). What is the second derivative of j(z) wrt z?\n' | b'-424\n' | b'Let k(l) = -410*l**2 - 11*l + 370. Let n(m) = -204*m**2 - 6*m + 185. Let j(q) = 4*k(q) - 7*n(q). What is the second derivative of j(z) wrt z?\n' | b'-424\n' | deepmind/math_dataset |
b'Let u be (40/30)/(2/45). Let k = u + -10. Solve -3*a - k = -4*q - 4*a, 2*a - 8 = 0 for q.\n' | b'4\n' | b'Let u be (40/30)/(2/45). Let k = u + -10. Solve -3*a - k = -4*q - 4*a, 2*a - 8 = 0 for q.\n' | b'4\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ttuutttt. What is prob of picking 1 u and 3 t?\n' | b'4/7\n' | b'Four letters picked without replacement from ttuutttt. What is prob of picking 1 u and 3 t?\n' | b'4/7\n' | deepmind/math_dataset |
b'Let s(d) = -18*d - 90. Let h be s(-5). Let f(w) be the second derivative of 0 - 9/2*w**2 + h*w**3 - 1/12*w**4 + 7*w. Differentiate f(z) with respect to z.\n' | b'-2*z\n' | b'Let s(d) = -18*d - 90. Let h be s(-5). Let f(w) be the second derivative of 0 - 9/2*w**2 + h*w**3 - 1/12*w**4 + 7*w. Differentiate f(z) with respect to z.\n' | b'-2*z\n' | deepmind/math_dataset |
b'Let h(q) = -q**3 + 12*q**2 - 31*q - 6. Let w = 452 - 444. Calculate h(w).\n' | b'2\n' | b'Let h(q) = -q**3 + 12*q**2 - 31*q - 6. Let w = 452 - 444. Calculate h(w).\n' | b'2\n' | deepmind/math_dataset |
b'Simplify (d/d**19)/(d**(7/5)*d) assuming d is positive.\n' | b'd**(-102/5)\n' | b'Simplify (d/d**19)/(d**(7/5)*d) assuming d is positive.\n' | b'd**(-102/5)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from lllrlllllllll. Give prob of picking 4 l.\n' | b'9/13\n' | b'Four letters picked without replacement from lllrlllllllll. Give prob of picking 4 l.\n' | b'9/13\n' | deepmind/math_dataset |
b'Let p be (-10)/45 + 208/(-36). Let y be (-3)/p - (-27)/6. Solve 0 = -3*u + 2*b + 17, 3*u - 29 = -0*b + y*b for u.\n' | b'3\n' | b'Let p be (-10)/45 + 208/(-36). Let y be (-3)/p - (-27)/6. Solve 0 = -3*u + 2*b + 17, 3*u - 29 = -0*b + y*b for u.\n' | b'3\n' | deepmind/math_dataset |
b'Simplify (n**(-7)/(n/n**(1/8)))**(10/9) assuming n is positive.\n' | b'n**(-35/4)\n' | b'Simplify (n**(-7)/(n/n**(1/8)))**(10/9) assuming n is positive.\n' | b'n**(-35/4)\n' | deepmind/math_dataset |
b'Suppose -b - 3*b + 16 = 0. Suppose 4*x - 6 - 2 = 0. Let w(k) = 0*k**2 - 2*k**2 + 7*k + 0*k**x - 5. Determine w(b).\n' | b'-9\n' | b'Suppose -b - 3*b + 16 = 0. Suppose 4*x - 6 - 2 = 0. Let w(k) = 0*k**2 - 2*k**2 + 7*k + 0*k**x - 5. Determine w(b).\n' | b'-9\n' | deepmind/math_dataset |
b'Simplify ((i**(-5)*(i*(i*i**(-1))/i)/i)/((i**(2/5)*i)/(i*i**(2/17))))/(i**(-5/3)*i*i**2*(i/i**(3/4))/((i*i**(6/5)*i)/i)) assuming i is positive.\n' | b'i**(-5779/1020)\n' | b'Simplify ((i**(-5)*(i*(i*i**(-1))/i)/i)/((i**(2/5)*i)/(i*i**(2/17))))/(i**(-5/3)*i*i**2*(i/i**(3/4))/((i*i**(6/5)*i)/i)) assuming i is positive.\n' | b'i**(-5779/1020)\n' | deepmind/math_dataset |
b'Simplify (k/(k*k*k/((k/(k**(-24)/k))/k))*k*k**8)**5 assuming k is positive.\n' | b'k**160\n' | b'Simplify (k/(k*k*k/((k/(k**(-24)/k))/k))*k*k**8)**5 assuming k is positive.\n' | b'k**160\n' | deepmind/math_dataset |
b'Let t(y) be the first derivative of 5*y**3/3 - 13*y**2/2 + 19*y - 23. Let s(k) be the first derivative of t(k). What is the first derivative of s(v) wrt v?\n' | b'10\n' | b'Let t(y) be the first derivative of 5*y**3/3 - 13*y**2/2 + 19*y - 23. Let s(k) be the first derivative of t(k). What is the first derivative of s(v) wrt v?\n' | b'10\n' | deepmind/math_dataset |
b'What is prob of sequence hgz when three letters picked without replacement from zhjzgwz?\n' | b'1/70\n' | b'What is prob of sequence hgz when three letters picked without replacement from zhjzgwz?\n' | b'1/70\n' | deepmind/math_dataset |
b'Simplify (v/(v/v**(-3/8)))**(-32)*(v**(-1/3))**(-44) assuming v is positive.\n' | b'v**(80/3)\n' | b'Simplify (v/(v/v**(-3/8)))**(-32)*(v**(-1/3))**(-44) assuming v is positive.\n' | b'v**(80/3)\n' | deepmind/math_dataset |
b'What is the third derivative of 8 + 3281*a**3 + 4557*a**3 - 1098*a**3 + 483*a**2 - 5 wrt a?\n' | b'40440\n' | b'What is the third derivative of 8 + 3281*a**3 + 4557*a**3 - 1098*a**3 + 483*a**2 - 5 wrt a?\n' | b'40440\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {b: 3, p: 2, v: 4, m: 2, h: 1}. Give prob of sequence bbmm.\n' | b'1/990\n' | b'Four letters picked without replacement from {b: 3, p: 2, v: 4, m: 2, h: 1}. Give prob of sequence bbmm.\n' | b'1/990\n' | deepmind/math_dataset |
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