question stringlengths 40 165 | answer stringlengths 6 35 | instruction_seed stringlengths 40 165 | response_seed stringlengths 6 35 | _source stringclasses 1 value |
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b'Suppose 0 = 3*c - 3*x - 6, 0 = c + c - 4*x. Suppose 0*j + 3*j - 25 = -5*v, 0 = -3*v + c*j - 14. Solve v*u = -2*f + 12, -13 - 14 = -4*u - 5*f for u.\n' | b'3\n' | b'Suppose 0 = 3*c - 3*x - 6, 0 = c + c - 4*x. Suppose 0*j + 3*j - 25 = -5*v, 0 = -3*v + c*j - 14. Solve v*u = -2*f + 12, -13 - 14 = -4*u - 5*f for u.\n' | b'3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from xzxxxxxxzzx. What is prob of picking 1 z and 3 x?\n' | b'28/55\n' | b'Four letters picked without replacement from xzxxxxxxzzx. What is prob of picking 1 z and 3 x?\n' | b'28/55\n' | deepmind/math_dataset |
b'Two letters picked without replacement from urvu. What is prob of picking 1 r and 1 v?\n' | b'1/6\n' | b'Two letters picked without replacement from urvu. What is prob of picking 1 r and 1 v?\n' | b'1/6\n' | deepmind/math_dataset |
b'Let o(d) = 7*d - 28. Let g be o(5). Let l(a) = 6*a - 15 - g*a + 18. Let t(c) = -c**3 - 4*c**2 + 6*c - 2. Let n be t(-5). Give l(n).\n' | b'10\n' | b'Let o(d) = 7*d - 28. Let g be o(5). Let l(a) = 6*a - 15 - g*a + 18. Let t(c) = -c**3 - 4*c**2 + 6*c - 2. Let n be t(-5). Give l(n).\n' | b'10\n' | deepmind/math_dataset |
b'Suppose -4*p - 32 = -3*w, -255*p = -5*w - 257*p + 10. Let z be 22/8 - (-1)/4. Solve z*r + 19 = -4*d, r + w = 3*d - 2*d for d.\n' | b'-1\n' | b'Suppose -4*p - 32 = -3*w, -255*p = -5*w - 257*p + 10. Let z be 22/8 - (-1)/4. Solve z*r + 19 = -4*d, r + w = 3*d - 2*d for d.\n' | b'-1\n' | deepmind/math_dataset |
b'Suppose 0 = 3*r - 3 - 6. Let t = -59 + 67. Suppose r*i + 2 = t. Solve -10 = 3*q - 5*n, i*q = -q - 4*n - 19 for q.\n' | b'-5\n' | b'Suppose 0 = 3*r - 3 - 6. Let t = -59 + 67. Suppose r*i + 2 = t. Solve -10 = 3*q - 5*n, i*q = -q - 4*n - 19 for q.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify ((i*i*i**(-1))**(-9/4)/((i/(i*i/i**(-2/7))*i)/i)**(-3/52))/(i**(-1)*i*i**7*((i/((i/(i/i**4))/i)*i)/i)/(i/(i*i/i**(-6)*i*i))) assuming i is positive.\n' | b'i**(-2971/182)\n' | b'Simplify ((i*i*i**(-1))**(-9/4)/((i/(i*i/i**(-2/7))*i)/i)**(-3/52))/(i**(-1)*i*i**7*((i/((i/(i/i**4))/i)*i)/i)/(i/(i*i/i**(-6)*i*i))) assuming i is positive.\n' | b'i**(-2971/182)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {o: 7, v: 6, h: 2, r: 1, b: 2, t: 1}. What is prob of picking 1 v, 1 t, and 1 h?\n' | b'4/323\n' | b'Three letters picked without replacement from {o: 7, v: 6, h: 2, r: 1, b: 2, t: 1}. What is prob of picking 1 v, 1 t, and 1 h?\n' | b'4/323\n' | deepmind/math_dataset |
b'Suppose 2*w + 0*p + 5*p = 441, -2*w + p + 447 = 0. Let a = -219 + w. Solve 0 = 3*z + a*h - 28 + 5, 2*z = 2*h + 6 for z.\n' | b'5\n' | b'Suppose 2*w + 0*p + 5*p = 441, -2*w + p + 447 = 0. Let a = -219 + w. Solve 0 = 3*z + a*h - 28 + 5, 2*z = 2*h + 6 for z.\n' | b'5\n' | deepmind/math_dataset |
b'Let l(b) be the second derivative of 0 + 0*b**5 + 0*b**4 + 1/42*b**7 + 0*b**6 - 14*b + 7/6*b**3 + 0*b**2. Find the second derivative of l(v) wrt v.\n' | b'20*v**3\n' | b'Let l(b) be the second derivative of 0 + 0*b**5 + 0*b**4 + 1/42*b**7 + 0*b**6 - 14*b + 7/6*b**3 + 0*b**2. Find the second derivative of l(v) wrt v.\n' | b'20*v**3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from jjjljlllleje. Give prob of picking 2 e and 1 l.\n' | b'1/44\n' | b'Three letters picked without replacement from jjjljlllleje. Give prob of picking 2 e and 1 l.\n' | b'1/44\n' | deepmind/math_dataset |
b'Let k(y) = y**3 - 8*y**2 - 7*y - 2. Let v(m) = m**2 - 2*m - 519. Let i be v(24). Give k(i).\n' | b'16\n' | b'Let k(y) = y**3 - 8*y**2 - 7*y - 2. Let v(m) = m**2 - 2*m - 519. Let i be v(24). Give k(i).\n' | b'16\n' | deepmind/math_dataset |
b'Simplify q/q**18*(((q*q*(q*q**(-7/4)*q)/q)/q)/q)/q assuming q is positive.\n' | b'q**(-75/4)\n' | b'Simplify q/q**18*(((q*q*(q*q**(-7/4)*q)/q)/q)/q)/q assuming q is positive.\n' | b'q**(-75/4)\n' | deepmind/math_dataset |
b'Calculate prob of sequence iji when three letters picked without replacement from jiiijjiijjii.\n' | b'7/44\n' | b'Calculate prob of sequence iji when three letters picked without replacement from jiiijjiijjii.\n' | b'7/44\n' | deepmind/math_dataset |
b'Suppose -h - h + 40 = 0. Suppose -4*x - x = -h. Solve 2*w - 3*i = -0*i - 3, 0 = 2*w + x*i - 4 for w.\n' | b'0\n' | b'Suppose -h - h + 40 = 0. Suppose -4*x - x = -h. Solve 2*w - 3*i = -0*i - 3, 0 = 2*w + x*i - 4 for w.\n' | b'0\n' | deepmind/math_dataset |
b'Let l(z) = z**2 + 2*z - 2. Let d be l(0). Let x(h) = -1. Let w(u) = -u**2 + u - 1. Let p(r) = d*w(r) + 3*x(r). Determine p(-2).\n' | b'11\n' | b'Let l(z) = z**2 + 2*z - 2. Let d be l(0). Let x(h) = -1. Let w(u) = -u**2 + u - 1. Let p(r) = d*w(r) + 3*x(r). Determine p(-2).\n' | b'11\n' | deepmind/math_dataset |
b'Four letters picked without replacement from xhisxnxjhjhnnhji. What is prob of sequence xsxj?\n' | b'3/7280\n' | b'Four letters picked without replacement from xhisxnxjhjhnnhji. What is prob of sequence xsxj?\n' | b'3/7280\n' | deepmind/math_dataset |
b'Suppose -2*c + 4*n = -14, -c + 31 = 2*c + 4*n. Let y(v) = 0*v**2 - 2*v**3 - c*v + 3*v**2 + 13*v - 3 + v**3. Calculate y(3).\n' | b'9\n' | b'Suppose -2*c + 4*n = -14, -c + 31 = 2*c + 4*n. Let y(v) = 0*v**2 - 2*v**3 - c*v + 3*v**2 + 13*v - 3 + v**3. Calculate y(3).\n' | b'9\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {v: 1, z: 14, b: 1, j: 3, p: 1}. What is prob of sequence pzv?\n' | b'7/3420\n' | b'Three letters picked without replacement from {v: 1, z: 14, b: 1, j: 3, p: 1}. What is prob of sequence pzv?\n' | b'7/3420\n' | deepmind/math_dataset |
b'Simplify (((m*m**(-3))/m)/((m/((m*m**(-19)/m)/m))/m))/(m*m*m**20*m*m*m*m*m**8) assuming m is positive.\n' | b'm**(-57)\n' | b'Simplify (((m*m**(-3))/m)/((m/((m*m**(-19)/m)/m))/m))/(m*m*m**20*m*m*m*m*m**8) assuming m is positive.\n' | b'm**(-57)\n' | deepmind/math_dataset |
b'Let r be -1 - ((2 - 1) + 2). Let l(p) = -4*p**3 + p**2 - p - 1. Let c be l(-1). Let i(d) = -4*d - 2 + 3*d + c. Give i(r).\n' | b'7\n' | b'Let r be -1 - ((2 - 1) + 2). Let l(p) = -4*p**3 + p**2 - p - 1. Let c be l(-1). Let i(d) = -4*d - 2 + 3*d + c. Give i(r).\n' | b'7\n' | deepmind/math_dataset |
b'Calculate prob of sequence ii when two letters picked without replacement from ooiooii.\n' | b'1/7\n' | b'Calculate prob of sequence ii when two letters picked without replacement from ooiooii.\n' | b'1/7\n' | deepmind/math_dataset |
b'Suppose 0 = -2*o + c + 6, 9*c - 13*c = -3*o + 4. Solve 5*p = -5*g - 5, o*g + 21 = 25 for p.\n' | b'-2\n' | b'Suppose 0 = -2*o + c + 6, 9*c - 13*c = -3*o + 4. Solve 5*p = -5*g - 5, o*g + 21 = 25 for p.\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose 5*t = 2*t - 63. Let o be 3/(-9) + (-8)/18*t. Let w(u) = u**2 - 7*u - 18. Calculate w(o).\n' | b'0\n' | b'Suppose 5*t = 2*t - 63. Let o be 3/(-9) + (-8)/18*t. Let w(u) = u**2 - 7*u - 18. Calculate w(o).\n' | b'0\n' | deepmind/math_dataset |
b'Let t be (44/(-308))/(1*3/(-63)). Solve -17 = -b + 8*c - 4*c, 9 = 2*b - t*c for b.\n' | b'-3\n' | b'Let t be (44/(-308))/(1*3/(-63)). Solve -17 = -b + 8*c - 4*c, 9 = 2*b - t*c for b.\n' | b'-3\n' | deepmind/math_dataset |
b'Let o(t) = -2*t**2 + t + 6. Let g be 0 + (-2 - 1)/3. Let r(f) = f**2 - f - 1. Let w(m) = g*o(m) - 6*r(m). What is the second derivative of w(i) wrt i?\n' | b'-8\n' | b'Let o(t) = -2*t**2 + t + 6. Let g be 0 + (-2 - 1)/3. Let r(f) = f**2 - f - 1. Let w(m) = g*o(m) - 6*r(m). What is the second derivative of w(i) wrt i?\n' | b'-8\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {d: 2, f: 1, x: 2, u: 1}. What is prob of picking 1 x and 1 d?\n' | b'4/15\n' | b'Two letters picked without replacement from {d: 2, f: 1, x: 2, u: 1}. What is prob of picking 1 x and 1 d?\n' | b'4/15\n' | deepmind/math_dataset |
b'Simplify (((y*y/((y*y**0)/y))/(y/(y/y**(-11/2))))/(y/(y/(y**(-2)/y)))**(15/2))**(-2) assuming y is positive.\n' | b'y**(-60)\n' | b'Simplify (((y*y/((y*y**0)/y))/(y/(y/y**(-11/2))))/(y/(y/(y**(-2)/y)))**(15/2))**(-2) assuming y is positive.\n' | b'y**(-60)\n' | deepmind/math_dataset |
b'Suppose d = k - 15, 0 = -2*d - 10. Let o be ((-5)/2)/((-2)/(-20)). Let t be (-2 + 0)*o/5. Solve 0 = -2*h - z + t, h + 3 = 4*z - k for h.\n' | b'3\n' | b'Suppose d = k - 15, 0 = -2*d - 10. Let o be ((-5)/2)/((-2)/(-20)). Let t be (-2 + 0)*o/5. Solve 0 = -2*h - z + t, h + 3 = 4*z - k for h.\n' | b'3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {g: 4, v: 6, r: 1, t: 1, x: 2, h: 1}. What is prob of picking 1 x, 1 h, 1 r, and 1 t?\n' | b'2/1365\n' | b'Four letters picked without replacement from {g: 4, v: 6, r: 1, t: 1, x: 2, h: 1}. What is prob of picking 1 x, 1 h, 1 r, and 1 t?\n' | b'2/1365\n' | deepmind/math_dataset |
b'Simplify ((l/l**26)/l**(-22/7)*(l*l/l**22*l)/l**(1/7))**(4/19) assuming l is positive.\n' | b'l**(-164/19)\n' | b'Simplify ((l/l**26)/l**(-22/7)*(l*l/l**22*l)/l**(1/7))**(4/19) assuming l is positive.\n' | b'l**(-164/19)\n' | deepmind/math_dataset |
b'Let v be (1 + -2)*1 + 6. Let r(o) = 6*o**2 + 6*o**2 - 13*o**3 + 12*o**3 - 3*o**2 - 3*o**2 - 6*o + 4. Give r(v).\n' | b'-1\n' | b'Let v be (1 + -2)*1 + 6. Let r(o) = 6*o**2 + 6*o**2 - 13*o**3 + 12*o**3 - 3*o**2 - 3*o**2 - 6*o + 4. Give r(v).\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify b**(-16)*b*b**6 assuming b is positive.\n' | b'b**(-9)\n' | b'Simplify b**(-16)*b*b**6 assuming b is positive.\n' | b'b**(-9)\n' | deepmind/math_dataset |
b'What is prob of sequence fzz when three letters picked without replacement from {z: 3, f: 2}?\n' | b'1/5\n' | b'What is prob of sequence fzz when three letters picked without replacement from {z: 3, f: 2}?\n' | b'1/5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {e: 1, o: 2, s: 2, f: 1, n: 1, y: 1}. Give prob of picking 1 s and 1 n.\n' | b'1/14\n' | b'Two letters picked without replacement from {e: 1, o: 2, s: 2, f: 1, n: 1, y: 1}. Give prob of picking 1 s and 1 n.\n' | b'1/14\n' | deepmind/math_dataset |
b'Let c(d) = 4*d + 13. Let k(b) = -5*b - 14. Let p(j) = -4*c(j) - 3*k(j). What is p(5)?\n' | b'-15\n' | b'Let c(d) = 4*d + 13. Let k(b) = -5*b - 14. Let p(j) = -4*c(j) - 3*k(j). What is p(5)?\n' | b'-15\n' | deepmind/math_dataset |
b'Let n(o) = o**3 - o**2 + o. Let l(m) = -13*m**2 - m + 15. Let f(q) = q**2 + q - 1. Let j(a) = -4*f(a) - l(a). Let u(i) = -j(i) - n(i). Determine u(-8).\n' | b'-5\n' | b'Let n(o) = o**3 - o**2 + o. Let l(m) = -13*m**2 - m + 15. Let f(q) = q**2 + q - 1. Let j(a) = -4*f(a) - l(a). Let u(i) = -j(i) - n(i). Determine u(-8).\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose -21*f = 24*f - 7*f + 114. Let m(k) = -k. Let t(z) = z**2 + 4*z - 5. Let r(v) = -2*m(v) - t(v). Give r(f).\n' | b'2\n' | b'Suppose -21*f = 24*f - 7*f + 114. Let m(k) = -k. Let t(z) = z**2 + 4*z - 5. Let r(v) = -2*m(v) - t(v). Give r(f).\n' | b'2\n' | deepmind/math_dataset |
b'Let i(h) = 4*h - 2. Let w(r) = 5*r**2 + 9*r + 7 - 2*r**2 - 2*r**2 - 5. Let b be w(-9). Suppose -f + 1 + b = 0. Determine i(f).\n' | b'10\n' | b'Let i(h) = 4*h - 2. Let w(r) = 5*r**2 + 9*r + 7 - 2*r**2 - 2*r**2 - 5. Let b be w(-9). Suppose -f + 1 + b = 0. Determine i(f).\n' | b'10\n' | deepmind/math_dataset |
b'Two letters picked without replacement from iinnnnnnnnnniinnni. Give prob of sequence ii.\n' | b'10/153\n' | b'Two letters picked without replacement from iinnnnnnnnnniinnni. Give prob of sequence ii.\n' | b'10/153\n' | deepmind/math_dataset |
b'Two letters picked without replacement from bbufbsbtbfsfbsbzbtb. What is prob of sequence tf?\n' | b'1/57\n' | b'Two letters picked without replacement from bbufbsbtbfsfbsbzbtb. What is prob of sequence tf?\n' | b'1/57\n' | deepmind/math_dataset |
b'Suppose 25*r - 10 = 23*r. Solve -4*l - 14 = -2*c - 2, -22 = 2*l - r*c for l.\n' | b'-1\n' | b'Suppose 25*r - 10 = 23*r. Solve -4*l - 14 = -2*c - 2, -22 = 2*l - r*c for l.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify (t**3*t**0)**(2/25) assuming t is positive.\n' | b't**(6/25)\n' | b'Simplify (t**3*t**0)**(2/25) assuming t is positive.\n' | b't**(6/25)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from zzltt. What is prob of picking 2 t and 2 z?\n' | b'1/5\n' | b'Four letters picked without replacement from zzltt. What is prob of picking 2 t and 2 z?\n' | b'1/5\n' | deepmind/math_dataset |
b'Suppose -4*y = 12, 10*y - 7*y + 34 = 5*h. Solve -n - 6 = -2*o - 1, -h*n - 2*o + 11 = 0 for n.\n' | b'1\n' | b'Suppose -4*y = 12, 10*y - 7*y + 34 = 5*h. Solve -n - 6 = -2*o - 1, -h*n - 2*o + 11 = 0 for n.\n' | b'1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from jbbjjjjjbjjjjajjjjjj. Give prob of sequence jj.\n' | b'12/19\n' | b'Two letters picked without replacement from jbbjjjjjbjjjjajjjjjj. Give prob of sequence jj.\n' | b'12/19\n' | deepmind/math_dataset |
b'Suppose -6*c = -3*c - 12. Find the second derivative of 711*u - 4*u**3 - 168*u**4 - 713*u + c*u**3 - 3 wrt u.\n' | b'-2016*u**2\n' | b'Suppose -6*c = -3*c - 12. Find the second derivative of 711*u - 4*u**3 - 168*u**4 - 713*u + c*u**3 - 3 wrt u.\n' | b'-2016*u**2\n' | deepmind/math_dataset |
b'Let i = 5 - 3. Suppose -2*u - 4 + 6 = 0. What is the third derivative of -1 + 2*z**i - z**5 + u wrt z?\n' | b'-60*z**2\n' | b'Let i = 5 - 3. Suppose -2*u - 4 + 6 = 0. What is the third derivative of -1 + 2*z**i - z**5 + u wrt z?\n' | b'-60*z**2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {k: 7, t: 7}. What is prob of picking 1 k and 3 t?\n' | b'35/143\n' | b'Four letters picked without replacement from {k: 7, t: 7}. What is prob of picking 1 k and 3 t?\n' | b'35/143\n' | deepmind/math_dataset |
b'What is prob of picking 1 k, 1 e, and 1 u when three letters picked without replacement from {u: 1, e: 6, f: 1, t: 3, p: 1, k: 5}?\n' | b'3/68\n' | b'What is prob of picking 1 k, 1 e, and 1 u when three letters picked without replacement from {u: 1, e: 6, f: 1, t: 3, p: 1, k: 5}?\n' | b'3/68\n' | deepmind/math_dataset |
b'Four letters picked without replacement from dddvdddvvdv. Give prob of sequence vdvd.\n' | b'7/110\n' | b'Four letters picked without replacement from dddvdddvvdv. Give prob of sequence vdvd.\n' | b'7/110\n' | deepmind/math_dataset |
b'Let w(r) = 6*r**2 + 7*r - 10. Suppose 0 = 126*x + 93 - 345. Give w(x).\n' | b'28\n' | b'Let w(r) = 6*r**2 + 7*r - 10. Suppose 0 = 126*x + 93 - 345. Give w(x).\n' | b'28\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {d: 5, s: 8}. Give prob of sequence sss.\n' | b'28/143\n' | b'Three letters picked without replacement from {d: 5, s: 8}. Give prob of sequence sss.\n' | b'28/143\n' | deepmind/math_dataset |
b'Let x(v) be the second derivative of v + 0*v**4 + 4/3*v**3 + 0 + 0*v**5 - 4/15*v**6 + 0*v**2. What is the second derivative of x(h) wrt h?\n' | b'-96*h**2\n' | b'Let x(v) be the second derivative of v + 0*v**4 + 4/3*v**3 + 0 + 0*v**5 - 4/15*v**6 + 0*v**2. What is the second derivative of x(h) wrt h?\n' | b'-96*h**2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {a: 4, q: 2, l: 8, n: 1}. What is prob of sequence nqa?\n' | b'4/1365\n' | b'Three letters picked without replacement from {a: 4, q: 2, l: 8, n: 1}. What is prob of sequence nqa?\n' | b'4/1365\n' | deepmind/math_dataset |
b'Simplify (((v*v/(v/v**(2/15))*v)/v)**(-45))**34 assuming v is positive.\n' | b'v**(-1734)\n' | b'Simplify (((v*v/(v/v**(2/15))*v)/v)**(-45))**34 assuming v is positive.\n' | b'v**(-1734)\n' | deepmind/math_dataset |
b'Calculate prob of sequence wk when two letters picked without replacement from wwdfdfwkfwd.\n' | b'2/55\n' | b'Calculate prob of sequence wk when two letters picked without replacement from wwdfdfwkfwd.\n' | b'2/55\n' | deepmind/math_dataset |
b'Let s(y) = -y**3 - 6*y**2 - 5*y + 6. Let u be s(-5). Suppose -6*p + 26 = 7*p. Solve x + 3*a = -u, -p = x + x - 4*a for x.\n' | b'-3\n' | b'Let s(y) = -y**3 - 6*y**2 - 5*y + 6. Let u be s(-5). Suppose -6*p + 26 = 7*p. Solve x + 3*a = -u, -p = x + x - 4*a for x.\n' | b'-3\n' | deepmind/math_dataset |
b'What is prob of sequence fqu when three letters picked without replacement from {y: 2, q: 1, f: 1, u: 2}?\n' | b'1/60\n' | b'What is prob of sequence fqu when three letters picked without replacement from {y: 2, q: 1, f: 1, u: 2}?\n' | b'1/60\n' | deepmind/math_dataset |
b'Let x(r) be the second derivative of r**5/20 - r**4/2 - r**3/2 - 4*r**2 - r. Let m = 412126 + -412119. What is x(m)?\n' | b'20\n' | b'Let x(r) be the second derivative of r**5/20 - r**4/2 - r**3/2 - 4*r**2 - r. Let m = 412126 + -412119. What is x(m)?\n' | b'20\n' | deepmind/math_dataset |
b'What is prob of picking 3 w and 1 i when four letters picked without replacement from {w: 9, i: 5}?\n' | b'60/143\n' | b'What is prob of picking 3 w and 1 i when four letters picked without replacement from {w: 9, i: 5}?\n' | b'60/143\n' | deepmind/math_dataset |
b'Suppose -5*x = -13 + 3. What is the first derivative of 6*i**x + 2 - 1 + 1 wrt i?\n' | b'12*i\n' | b'Suppose -5*x = -13 + 3. What is the first derivative of 6*i**x + 2 - 1 + 1 wrt i?\n' | b'12*i\n' | deepmind/math_dataset |
b'Let w be ((-1 - -6) + -2)/1. Let k(s) = -s**2 + s + 8. Let l be k(3). Solve y - 4*y = -3*t - w, 5*t - l*y = -14 for t.\n' | b'-4\n' | b'Let w be ((-1 - -6) + -2)/1. Let k(s) = -s**2 + s + 8. Let l be k(3). Solve y - 4*y = -3*t - w, 5*t - l*y = -14 for t.\n' | b'-4\n' | deepmind/math_dataset |
b'What is prob of sequence asup when four letters picked without replacement from sappgup?\n' | b'1/280\n' | b'What is prob of sequence asup when four letters picked without replacement from sappgup?\n' | b'1/280\n' | deepmind/math_dataset |
b'Suppose 5*m = 6*m - 10. Suppose 2*c - 33 = -5*v, 0*v - m = -2*v. Let i be (-5)/(-40)*c*10. Solve i*p = p, 3*p = w + 5 for w.\n' | b'-5\n' | b'Suppose 5*m = 6*m - 10. Suppose 2*c - 33 = -5*v, 0*v - m = -2*v. Let i be (-5)/(-40)*c*10. Solve i*p = p, 3*p = w + 5 for w.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify (((m**(-5/2)/m)/m**3)/((m/((m/m**(-3))/m))/(m/(m*m**(-4)))))/((m**2)**(-9/8))**(1/10) assuming m is positive.\n' | b'm**(-11/40)\n' | b'Simplify (((m**(-5/2)/m)/m**3)/((m/((m/m**(-3))/m))/(m/(m*m**(-4)))))/((m**2)**(-9/8))**(1/10) assuming m is positive.\n' | b'm**(-11/40)\n' | deepmind/math_dataset |
b'Let g(d) = 59*d - 77. Let a(b) = -176*b + 230. Let p(z) = 3*a(z) + 10*g(z). Find the first derivative of p(k) wrt k.\n' | b'62\n' | b'Let g(d) = 59*d - 77. Let a(b) = -176*b + 230. Let p(z) = 3*a(z) + 10*g(z). Find the first derivative of p(k) wrt k.\n' | b'62\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {z: 2, y: 3, k: 3, f: 4, s: 6}. What is prob of picking 1 s, 1 f, and 1 k?\n' | b'3/34\n' | b'Three letters picked without replacement from {z: 2, y: 3, k: 3, f: 4, s: 6}. What is prob of picking 1 s, 1 f, and 1 k?\n' | b'3/34\n' | deepmind/math_dataset |
b'Four letters picked without replacement from zfzffzfffff. What is prob of picking 2 z and 2 f?\n' | b'14/55\n' | b'Four letters picked without replacement from zfzffzfffff. What is prob of picking 2 z and 2 f?\n' | b'14/55\n' | deepmind/math_dataset |
b'Let p(k) be the second derivative of 3/2*k**2 + 2/3*k**3 + 5/12*k**4 + 0 - 18*k + 1/20*k**5. Calculate p(-2).\n' | b'7\n' | b'Let p(k) be the second derivative of 3/2*k**2 + 2/3*k**3 + 5/12*k**4 + 0 - 18*k + 1/20*k**5. Calculate p(-2).\n' | b'7\n' | deepmind/math_dataset |
b'Suppose -2*k + 2*r - 3*r + 2327 = 0, -9 = -3*r. Find the first derivative of -4*u**4 + 13 - k*u**2 + 1162*u**2 wrt u.\n' | b'-16*u**3\n' | b'Suppose -2*k + 2*r - 3*r + 2327 = 0, -9 = -3*r. Find the first derivative of -4*u**4 + 13 - k*u**2 + 1162*u**2 wrt u.\n' | b'-16*u**3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from hhzhzzzzzh. What is prob of picking 1 z and 1 h?\n' | b'8/15\n' | b'Two letters picked without replacement from hhzhzzzzzh. What is prob of picking 1 z and 1 h?\n' | b'8/15\n' | deepmind/math_dataset |
b'Let q = 72 - 44. What is the third derivative of q + 8*g**2 + 3*g**5 - 28 - 2*g**5 wrt g?\n' | b'60*g**2\n' | b'Let q = 72 - 44. What is the third derivative of q + 8*g**2 + 3*g**5 - 28 - 2*g**5 wrt g?\n' | b'60*g**2\n' | deepmind/math_dataset |
b'Let k be -5 - (-4 - -2) - 0. Let x be (3/(-6))/((9/84)/k). Solve -2*z + 2 = 5*m - x, -3*z - 3*m = -6 for z.\n' | b'-2\n' | b'Let k be -5 - (-4 - -2) - 0. Let x be (3/(-6))/((9/84)/k). Solve -2*z + 2 = 5*m - x, -3*z - 3*m = -6 for z.\n' | b'-2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {d: 1, n: 4, h: 3}. Give prob of sequence nnd.\n' | b'1/28\n' | b'Three letters picked without replacement from {d: 1, n: 4, h: 3}. Give prob of sequence nnd.\n' | b'1/28\n' | deepmind/math_dataset |
b'Let v(w) = w**2 + 2*w - 2. Let s be v(2). Differentiate -12 - 15*y**3 + 9*y**3 - s - 7*y**3 wrt y.\n' | b'-39*y**2\n' | b'Let v(w) = w**2 + 2*w - 2. Let s be v(2). Differentiate -12 - 15*y**3 + 9*y**3 - s - 7*y**3 wrt y.\n' | b'-39*y**2\n' | deepmind/math_dataset |
b'Simplify ((c**(-1))**(-12))**3*((c*c**0)**(-23))**(-44) assuming c is positive.\n' | b'c**1048\n' | b'Simplify ((c**(-1))**(-12))**3*((c*c**0)**(-23))**(-44) assuming c is positive.\n' | b'c**1048\n' | deepmind/math_dataset |
b'What is prob of picking 1 n and 1 q when two letters picked without replacement from unqnu?\n' | b'1/5\n' | b'What is prob of picking 1 n and 1 q when two letters picked without replacement from unqnu?\n' | b'1/5\n' | deepmind/math_dataset |
b'Let j(t) be the third derivative of -1/4*t**5 + 0*t + 0 - 1/3*t**4 + 0*t**3 - t**2. Find the second derivative of j(v) wrt v.\n' | b'-30\n' | b'Let j(t) be the third derivative of -1/4*t**5 + 0*t + 0 - 1/3*t**4 + 0*t**3 - t**2. Find the second derivative of j(v) wrt v.\n' | b'-30\n' | deepmind/math_dataset |
b'What is prob of picking 3 o and 1 t when four letters picked without replacement from lolotooolt?\n' | b'2/21\n' | b'What is prob of picking 3 o and 1 t when four letters picked without replacement from lolotooolt?\n' | b'2/21\n' | deepmind/math_dataset |
b'Simplify ((n/(n*n*n/(n*n**(-7/2))))/n**(-35))/((n/(n/n**19))/(n/n**(-2/9))) assuming n is positive.\n' | b'n**(229/18)\n' | b'Simplify ((n/(n*n*n/(n*n**(-7/2))))/n**(-35))/((n/(n/n**19))/(n/n**(-2/9))) assuming n is positive.\n' | b'n**(229/18)\n' | deepmind/math_dataset |
b'Let k(l) = -2*l + 9. Let m be k(-10). Let t = m + -21. Solve 3*q + 6 = -3*i, -t = 4*q - 3*q + 3*i for q.\n' | b'1\n' | b'Let k(l) = -2*l + 9. Let m be k(-10). Let t = m + -21. Solve 3*q + 6 = -3*i, -t = 4*q - 3*q + 3*i for q.\n' | b'1\n' | deepmind/math_dataset |
b'Suppose 0 = k - 4*l + l - 39, -3*k + 2*l + 110 = 0. What is the second derivative of 28*r - 28*r**2 - k*r + 24*r + 3*r**2 wrt r?\n' | b'-50\n' | b'Suppose 0 = k - 4*l + l - 39, -3*k + 2*l + 110 = 0. What is the second derivative of 28*r - 28*r**2 - k*r + 24*r + 3*r**2 wrt r?\n' | b'-50\n' | deepmind/math_dataset |
b'Let n(c) = -2*c**2 + 2*c - 5*c - c**2 + 4*c**2. What is n(5)?\n' | b'10\n' | b'Let n(c) = -2*c**2 + 2*c - 5*c - c**2 + 4*c**2. What is n(5)?\n' | b'10\n' | deepmind/math_dataset |
b'Let x be (-17 + 10)*4/(-7). Let i = 32 + -16. Let r be 1/(x - 62/i). Solve t = m - 1, 2*t = -0*t - m - r for t.\n' | b'-3\n' | b'Let x be (-17 + 10)*4/(-7). Let i = 32 + -16. Let r be 1/(x - 62/i). Solve t = m - 1, 2*t = -0*t - m - r for t.\n' | b'-3\n' | deepmind/math_dataset |
b'Suppose j = -0*j - 7. Let u = -1 - j. Let c be 1 + (-1)/(-2)*u. Solve -21 = c*m + 5*l + 15, 0 = -5*m - 5*l - 40 for m.\n' | b'-4\n' | b'Suppose j = -0*j - 7. Let u = -1 - j. Let c be 1 + (-1)/(-2)*u. Solve -21 = c*m + 5*l + 15, 0 = -5*m - 5*l - 40 for m.\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose 3*h = -40 + 34. Let w(y) be the second derivative of -y**3/3 + y. What is w(h)?\n' | b'4\n' | b'Suppose 3*h = -40 + 34. Let w(y) be the second derivative of -y**3/3 + y. What is w(h)?\n' | b'4\n' | deepmind/math_dataset |
b'Four letters picked without replacement from oiidcdohw. Give prob of sequence chio.\n' | b'1/756\n' | b'Four letters picked without replacement from oiidcdohw. Give prob of sequence chio.\n' | b'1/756\n' | deepmind/math_dataset |
b'Simplify (u*u*u**2/u*u)**(-6)/(u/u**(10/9)*u**(-2/15)) assuming u is positive.\n' | b'u**(-1069/45)\n' | b'Simplify (u*u*u**2/u*u)**(-6)/(u/u**(10/9)*u**(-2/15)) assuming u is positive.\n' | b'u**(-1069/45)\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 q and 2 r when four letters picked without replacement from qqqrqrrd.\n' | b'9/35\n' | b'Calculate prob of picking 2 q and 2 r when four letters picked without replacement from qqqrqrrd.\n' | b'9/35\n' | deepmind/math_dataset |
b'Let m(a) = 4*a. Let u be m(-8). Let p = -80 - -85. Let o be 40/u*(1 - p). Solve n - 1 = -k - 0*n, o*n - 3 = -4*k for k.\n' | b'2\n' | b'Let m(a) = 4*a. Let u be m(-8). Let p = -80 - -85. Let o be 40/u*(1 - p). Solve n - 1 = -k - 0*n, o*n - 3 = -4*k for k.\n' | b'2\n' | deepmind/math_dataset |
b'Let b = 2 + -1. Suppose -2*z = 3*l - 14 + 1, 5*l - 2*z = 11. Differentiate b - l + 1 + 2*v**3 wrt v.\n' | b'6*v**2\n' | b'Let b = 2 + -1. Suppose -2*z = 3*l - 14 + 1, 5*l - 2*z = 11. Differentiate b - l + 1 + 2*v**3 wrt v.\n' | b'6*v**2\n' | deepmind/math_dataset |
b'Let q(p) = 10*p - 9. Let h be q(4). Let y(z) = -6*z**3 - z**3 - 2*z + 1 - h*z**2 + 33*z**2. Let b(t) = -t**2 - 3*t - 1. Let r be b(-1). Determine y(r).\n' | b'-6\n' | b'Let q(p) = 10*p - 9. Let h be q(4). Let y(z) = -6*z**3 - z**3 - 2*z + 1 - h*z**2 + 33*z**2. Let b(t) = -t**2 - 3*t - 1. Let r be b(-1). Determine y(r).\n' | b'-6\n' | deepmind/math_dataset |
b'Let p(i) = -i**3 + 4*i**2 + 2. Let l be p(4). Suppose 0 = -r - l*r + 9. Let z be 2 - (1 + -1 + -2). Solve -r*n - 10 = -2*s - 0*s, -z = 3*s + 5*n for s.\n' | b'2\n' | b'Let p(i) = -i**3 + 4*i**2 + 2. Let l be p(4). Suppose 0 = -r - l*r + 9. Let z be 2 - (1 + -1 + -2). Solve -r*n - 10 = -2*s - 0*s, -z = 3*s + 5*n for s.\n' | b'2\n' | deepmind/math_dataset |
b'Let v = -19 - -19. Solve -2*g = 3*u - 16 - v, u = -5*g + 14 for g.\n' | b'2\n' | b'Let v = -19 - -19. Solve -2*g = 3*u - 16 - v, u = -5*g + 14 for g.\n' | b'2\n' | deepmind/math_dataset |
b'Suppose 5*p - 5*h = -4*h + 11, -4*p + 5*h + 13 = 0. Let a be 4/6 + 26/6. Suppose -r = 4*r. Solve p*s - 5*s - 3*g = -6, r = a*s - g - 10 for s.\n' | b'2\n' | b'Suppose 5*p - 5*h = -4*h + 11, -4*p + 5*h + 13 = 0. Let a be 4/6 + 26/6. Suppose -r = 4*r. Solve p*s - 5*s - 3*g = -6, r = a*s - g - 10 for s.\n' | b'2\n' | deepmind/math_dataset |
b'Suppose -237*l = -778 - 87 - 83. Solve -4*h + 18 = -f, 109*h - l*f - 20 = 106*h for h.\n' | b'4\n' | b'Suppose -237*l = -778 - 87 - 83. Solve -4*h + 18 = -f, 109*h - l*f - 20 = 106*h for h.\n' | b'4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from vadffadadukuaufuuuka. Give prob of picking 1 a and 1 d.\n' | b'3/38\n' | b'Two letters picked without replacement from vadffadadukuaufuuuka. Give prob of picking 1 a and 1 d.\n' | b'3/38\n' | deepmind/math_dataset |
b'What is prob of sequence oekg when four letters picked without replacement from {g: 1, k: 1, m: 2, e: 1, f: 1, o: 1}?\n' | b'1/840\n' | b'What is prob of sequence oekg when four letters picked without replacement from {g: 1, k: 1, m: 2, e: 1, f: 1, o: 1}?\n' | b'1/840\n' | deepmind/math_dataset |
b'Simplify (z**(2/3)/z*z)**43 assuming z is positive.\n' | b'z**(86/3)\n' | b'Simplify (z**(2/3)/z*z)**43 assuming z is positive.\n' | b'z**(86/3)\n' | deepmind/math_dataset |
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