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 (g/(g*g*g**(1/4)))**(2/95)/(((g*(g/((g/g**5*g)/g))/g*g*g*g*g)/g)/(g*g*g**(-1/4)*g))*((g*g*g*g**(1/6)/g)/g**(2/9))**(-33) assuming g is positive.\n' | b'g**(-15833/228)\n' | b'Simplify (g/(g*g*g**(1/4)))**(2/95)/(((g*(g/((g/g**5*g)/g))/g*g*g*g*g)/g)/(g*g*g**(-1/4)*g))*((g*g*g*g**(1/6)/g)/g**(2/9))**(-33) assuming g is positive.\n' | b'g**(-15833/228)\n' | deepmind/math_dataset |
b'Suppose -45*r = -51*r + 12. Solve -5*x = -3*n - 10, -3*x - 5 = -6*x + r*n for x.\n' | b'5\n' | b'Suppose -45*r = -51*r + 12. Solve -5*x = -3*n - 10, -3*x - 5 = -6*x + r*n for x.\n' | b'5\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 b when two letters picked without replacement from lbllhlmobmlsbbhb.\n' | b'1/12\n' | b'Calculate prob of picking 2 b when two letters picked without replacement from lbllhlmobmlsbbhb.\n' | b'1/12\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ouwpouopowow. Give prob of picking 3 w.\n' | b'1/220\n' | b'Three letters picked without replacement from ouwpouopowow. Give prob of picking 3 w.\n' | b'1/220\n' | deepmind/math_dataset |
b'Let k be (3/(-12) - -4) + 3/12. Suppose -5*a + 24 = 3*w, -k*w - 9 = -4*a - 3*w. Solve -24 = 5*n + j, -4*n - 22 = -a*j + 1 for n.\n' | b'-5\n' | b'Let k be (3/(-12) - -4) + 3/12. Suppose -5*a + 24 = 3*w, -k*w - 9 = -4*a - 3*w. Solve -24 = 5*n + j, -4*n - 22 = -a*j + 1 for n.\n' | b'-5\n' | deepmind/math_dataset |
b'Let m(c) = -6*c**2 - 3*c - 3. Let s(d) = -d**2 - 1. Let b(r) = m(r) - 5*s(r). Calculate b(-3).\n' | b'2\n' | b'Let m(c) = -6*c**2 - 3*c - 3. Let s(d) = -d**2 - 1. Let b(r) = m(r) - 5*s(r). Calculate b(-3).\n' | b'2\n' | deepmind/math_dataset |
b'Let j be 35/(-7)*(0 + -1). Suppose -j*v + 23 - 3 = 0. Find the first derivative of 3 - 4*o**4 + 0*o**4 + v*o**4 - 2*o**4 wrt o.\n' | b'-8*o**3\n' | b'Let j be 35/(-7)*(0 + -1). Suppose -j*v + 23 - 3 = 0. Find the first derivative of 3 - 4*o**4 + 0*o**4 + v*o**4 - 2*o**4 wrt o.\n' | b'-8*o**3\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 j and 1 z when two letters picked without replacement from {h: 2, z: 1, e: 2, v: 1, i: 2, j: 5}.\n' | b'5/78\n' | b'Calculate prob of picking 1 j and 1 z when two letters picked without replacement from {h: 2, z: 1, e: 2, v: 1, i: 2, j: 5}.\n' | b'5/78\n' | deepmind/math_dataset |
b'What is prob of sequence ox when two letters picked without replacement from {f: 3, x: 3, d: 1, l: 3, b: 7, o: 2}?\n' | b'1/57\n' | b'What is prob of sequence ox when two letters picked without replacement from {f: 3, x: 3, d: 1, l: 3, b: 7, o: 2}?\n' | b'1/57\n' | deepmind/math_dataset |
b'What is prob of sequence cc when two letters picked without replacement from {w: 1, r: 1, k: 2, g: 1, f: 2, c: 2}?\n' | b'1/36\n' | b'What is prob of sequence cc when two letters picked without replacement from {w: 1, r: 1, k: 2, g: 1, f: 2, c: 2}?\n' | b'1/36\n' | deepmind/math_dataset |
b'Calculate prob of sequence ndd when three letters picked without replacement from ududwwdunfu.\n' | b'1/165\n' | b'Calculate prob of sequence ndd when three letters picked without replacement from ududwwdunfu.\n' | b'1/165\n' | deepmind/math_dataset |
b'What is prob of picking 1 e and 1 u when two letters picked without replacement from {e: 1, w: 1, o: 1, x: 1, u: 1}?\n' | b'1/10\n' | b'What is prob of picking 1 e and 1 u when two letters picked without replacement from {e: 1, w: 1, o: 1, x: 1, u: 1}?\n' | b'1/10\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {u: 4, v: 15}. Give prob of picking 2 v.\n' | b'35/57\n' | b'Two letters picked without replacement from {u: 4, v: 15}. Give prob of picking 2 v.\n' | b'35/57\n' | deepmind/math_dataset |
b'Four letters picked without replacement from sigiissssssxcgsis. What is prob of sequence iixi?\n' | b'1/2380\n' | b'Four letters picked without replacement from sigiissssssxcgsis. What is prob of sequence iixi?\n' | b'1/2380\n' | deepmind/math_dataset |
b'Let j(k) = -k**3 - 10*k**2 + 13*k + 25. Let c be j(-11). Solve -2 - c = -2*v + t, -t = -3*v + 9 for v.\n' | b'4\n' | b'Let j(k) = -k**3 - 10*k**2 + 13*k + 25. Let c be j(-11). Solve -2 - c = -2*v + t, -t = -3*v + 9 for v.\n' | b'4\n' | deepmind/math_dataset |
b'Find the third derivative of 137905 + 26*u**2 + 143*u**2 - 137905 + 145*u**4 wrt u.\n' | b'3480*u\n' | b'Find the third derivative of 137905 + 26*u**2 + 143*u**2 - 137905 + 145*u**4 wrt u.\n' | b'3480*u\n' | deepmind/math_dataset |
b'Let p = 16 - 13. Suppose -25 = -p*f - 2*f. What is the third derivative of -f*q**2 + 24*q + 14*q - q**5 - 38*q wrt q?\n' | b'-60*q**2\n' | b'Let p = 16 - 13. Suppose -25 = -p*f - 2*f. What is the third derivative of -f*q**2 + 24*q + 14*q - q**5 - 38*q wrt q?\n' | b'-60*q**2\n' | deepmind/math_dataset |
b'Let k(d) = -d**2 + 2171*d - 6502. Let s be k(3). Let x(f) = 3*f**3 - 6*f**2 + 2*f + 6. Determine x(s).\n' | b'10\n' | b'Let k(d) = -d**2 + 2171*d - 6502. Let s be k(3). Let x(f) = 3*f**3 - 6*f**2 + 2*f + 6. Determine x(s).\n' | b'10\n' | deepmind/math_dataset |
b'Simplify (((r**(2/11)/r)/r*r)/r)/((r/(r/(r*r**(3/32)*r*r*r))*r)/r)*(r**(-3/14)/r)/((r*r/(r*r*r**(-19)))/r) assuming r is positive.\n' | b'r**(-61911/2464)\n' | b'Simplify (((r**(2/11)/r)/r*r)/r)/((r/(r/(r*r**(3/32)*r*r*r))*r)/r)*(r**(-3/14)/r)/((r*r/(r*r*r**(-19)))/r) assuming r is positive.\n' | b'r**(-61911/2464)\n' | deepmind/math_dataset |
b'Let n(p) = -404*p**2 + 67*p + 384. Let l(b) = 202*b**2 - 29*b - 193. Let d(v) = -7*l(v) - 3*n(v). Find the second derivative of d(t) wrt t.\n' | b'-404\n' | b'Let n(p) = -404*p**2 + 67*p + 384. Let l(b) = 202*b**2 - 29*b - 193. Let d(v) = -7*l(v) - 3*n(v). Find the second derivative of d(t) wrt t.\n' | b'-404\n' | deepmind/math_dataset |
b'Simplify (v/v**(1/3))**44 assuming v is positive.\n' | b'v**(88/3)\n' | b'Simplify (v/v**(1/3))**44 assuming v is positive.\n' | b'v**(88/3)\n' | deepmind/math_dataset |
b'Suppose 2*l = -2*k - 0*k + 22, 0 = 3*l + k - 31. Let j = 4 - 1. Solve -10 = -2*q, 4*h + h - j*q - l = 0 for h.\n' | b'5\n' | b'Suppose 2*l = -2*k - 0*k + 22, 0 = 3*l + k - 31. Let j = 4 - 1. Solve -10 = -2*q, 4*h + h - j*q - l = 0 for h.\n' | b'5\n' | deepmind/math_dataset |
b'What is the second derivative of 13*u - 4*u**2 - 3 + 3 - 6*u wrt u?\n' | b'-8\n' | b'What is the second derivative of 13*u - 4*u**2 - 3 + 3 - 6*u wrt u?\n' | b'-8\n' | deepmind/math_dataset |
b'Let w be (((-140)/(-12))/5 - 1)*3. Differentiate -17*o**w - 35 + 25 + 9*o**4 with respect to o.\n' | b'-32*o**3\n' | b'Let w be (((-140)/(-12))/5 - 1)*3. Differentiate -17*o**w - 35 + 25 + 9*o**4 with respect to o.\n' | b'-32*o**3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from hsshphopup. Give prob of sequence uo.\n' | b'1/90\n' | b'Two letters picked without replacement from hsshphopup. Give prob of sequence uo.\n' | b'1/90\n' | deepmind/math_dataset |
b'Let p(s) = -s**3 - s**2 - 1. Let h be p(-2). Suppose 1 + h = w. Suppose 3*m - 19 + 5 = -4*l, -w*l + 3*m = -26. Solve b - l*o = -0*o - 6, 5*b + 4*o = 28 for b.\n' | b'4\n' | b'Let p(s) = -s**3 - s**2 - 1. Let h be p(-2). Suppose 1 + h = w. Suppose 3*m - 19 + 5 = -4*l, -w*l + 3*m = -26. Solve b - l*o = -0*o - 6, 5*b + 4*o = 28 for b.\n' | b'4\n' | deepmind/math_dataset |
b'Suppose 30 = x + 2*x. Suppose 5*l - 5 = -4*y + 23, -l + x = 3*y. Solve d - y*d = -2*i + 7, 5*d + 25 = 5*i for d.\n' | b'-3\n' | b'Suppose 30 = x + 2*x. Suppose 5*l - 5 = -4*y + 23, -l + x = 3*y. Solve d - y*d = -2*i + 7, 5*d + 25 = 5*i for d.\n' | b'-3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ogeeddogqedeegeoggeq. Give prob of sequence ogoo.\n' | b'1/3876\n' | b'Four letters picked without replacement from ogeeddogqedeegeoggeq. Give prob of sequence ogoo.\n' | b'1/3876\n' | deepmind/math_dataset |
b'Two letters picked without replacement from fvaavffafva. What is prob of picking 2 a?\n' | b'6/55\n' | b'Two letters picked without replacement from fvaavffafva. What is prob of picking 2 a?\n' | b'6/55\n' | deepmind/math_dataset |
b'Let p be (8 + -1 - 35/5)/(-2). Solve 4*n + f = -1, p*n - 4*f - 23 = -3*n for n.\n' | b'1\n' | b'Let p be (8 + -1 - 35/5)/(-2). Solve 4*n + f = -1, p*n - 4*f - 23 = -3*n for n.\n' | b'1\n' | deepmind/math_dataset |
b'Let c(r) = -47*r**4 - 7*r**2 + 2. Let g(q) = -565*q**4 - 85*q**2 + 25. Let z(n) = 25*c(n) - 2*g(n). Find the third derivative of z(d) wrt d.\n' | b'-1080*d\n' | b'Let c(r) = -47*r**4 - 7*r**2 + 2. Let g(q) = -565*q**4 - 85*q**2 + 25. Let z(n) = 25*c(n) - 2*g(n). Find the third derivative of z(d) wrt d.\n' | b'-1080*d\n' | deepmind/math_dataset |
b'Simplify c*c/(c**(2/15)/c)*((c/c**(1/7))/c*c)/c*((c/(c**11*c))/c)**(6/31) assuming c is positive.\n' | b'c**(1306/3255)\n' | b'Simplify c*c/(c**(2/15)/c)*((c/c**(1/7))/c*c)/c*((c/(c**11*c))/c)**(6/31) assuming c is positive.\n' | b'c**(1306/3255)\n' | deepmind/math_dataset |
b'Let w(y) = y**3 - 7*y**2 + 15*y - 28. Let c be w(5). Let s be -2 + (-2 + c + 6 - -3). Let g(l) = -2*l - 3. Let o(a) = a. Let p(h) = g(h) + 6*o(h). What is p(s)?\n' | b'5\n' | b'Let w(y) = y**3 - 7*y**2 + 15*y - 28. Let c be w(5). Let s be -2 + (-2 + c + 6 - -3). Let g(l) = -2*l - 3. Let o(a) = a. Let p(h) = g(h) + 6*o(h). What is p(s)?\n' | b'5\n' | deepmind/math_dataset |
b'What is prob of sequence fy when two letters picked without replacement from vhfvffyhyvff?\n' | b'5/66\n' | b'What is prob of sequence fy when two letters picked without replacement from vhfvffyhyvff?\n' | b'5/66\n' | deepmind/math_dataset |
b'Simplify ((k**(-1)/k)**40)**(2/13)*((k**(3/7)*k)/(k*k**0/k))**(-12/17) assuming k is positive.\n' | b'k**(-20600/1547)\n' | b'Simplify ((k**(-1)/k)**40)**(2/13)*((k**(3/7)*k)/(k*k**0/k))**(-12/17) assuming k is positive.\n' | b'k**(-20600/1547)\n' | deepmind/math_dataset |
b'Let n(f) be the third derivative of -f**5/60 - f**4/4 - f**3/6 + 1175*f**2. Calculate n(-5).\n' | b'4\n' | b'Let n(f) be the third derivative of -f**5/60 - f**4/4 - f**3/6 + 1175*f**2. Calculate n(-5).\n' | b'4\n' | deepmind/math_dataset |
b'Suppose -n + 2*n = -11. Let p = 15 + n. What is the second derivative of r - 2*r**4 + r - p*r wrt r?\n' | b'-24*r**2\n' | b'Suppose -n + 2*n = -11. Let p = 15 + n. What is the second derivative of r - 2*r**4 + r - p*r wrt r?\n' | b'-24*r**2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from plmm. What is prob of picking 1 p and 1 l?\n' | b'1/6\n' | b'Two letters picked without replacement from plmm. What is prob of picking 1 p and 1 l?\n' | b'1/6\n' | deepmind/math_dataset |
b'Let r = -74 + 77. Suppose 4*q - 8 - 5 = v, 0 = 4*q + v - r. Let o(p) = -8*p + 93*p**3 - p + 3*p - 6*p**q - 94*p**3 + 2. Determine o(-5).\n' | b'7\n' | b'Let r = -74 + 77. Suppose 4*q - 8 - 5 = v, 0 = 4*q + v - r. Let o(p) = -8*p + 93*p**3 - p + 3*p - 6*p**q - 94*p**3 + 2. Determine o(-5).\n' | b'7\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {r: 1, u: 4, c: 3, j: 10}. Give prob of picking 1 r, 1 j, and 1 u.\n' | b'5/102\n' | b'Three letters picked without replacement from {r: 1, u: 4, c: 3, j: 10}. Give prob of picking 1 r, 1 j, and 1 u.\n' | b'5/102\n' | deepmind/math_dataset |
b'Let o(k) = k**2 - 8*k - 33. Let p(u) = -8*u**3 + 72*u**2 - u + 19. Let l be p(9). Calculate o(l).\n' | b'-13\n' | b'Let o(k) = k**2 - 8*k - 33. Let p(u) = -8*u**3 + 72*u**2 - u + 19. Let l be p(9). Calculate o(l).\n' | b'-13\n' | deepmind/math_dataset |
b'Simplify (f*f**(-2/9))**(-7)/(((f/(f/f**20))/f)/f**(-12/5)) assuming f is positive.\n' | b'f**(-1208/45)\n' | b'Simplify (f*f**(-2/9))**(-7)/(((f/(f/f**20))/f)/f**(-12/5)) assuming f is positive.\n' | b'f**(-1208/45)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from draarrdldddrdadard. What is prob of sequence lar?\n' | b'5/1224\n' | b'Three letters picked without replacement from draarrdldddrdadard. What is prob of sequence lar?\n' | b'5/1224\n' | deepmind/math_dataset |
b'Let y(s) = 3*s**2 - 69*s - 9. Let l(o) = -2*o**2 + 40*o + 5. Let r(f) = -7*l(f) - 4*y(f). Calculate r(5).\n' | b'31\n' | b'Let y(s) = 3*s**2 - 69*s - 9. Let l(o) = -2*o**2 + 40*o + 5. Let r(f) = -7*l(f) - 4*y(f). Calculate r(5).\n' | b'31\n' | deepmind/math_dataset |
b'Simplify (((q/(q/q**(1/37))*q/(q*(q*q/(q*q/(q/(q**4*q))))/q))**(1/47))**(-7/9))**(-50) assuming q is positive.\n' | b'q**(21700/5217)\n' | b'Simplify (((q/(q/q**(1/37))*q/(q*(q*q/(q*q/(q/(q**4*q))))/q))**(1/47))**(-7/9))**(-50) assuming q is positive.\n' | b'q**(21700/5217)\n' | deepmind/math_dataset |
b'Simplify (m/(m**(-25)/m)*m)**(33/5)*(m**(1/58))**(-2/15) assuming m is positive.\n' | b'm**(80387/435)\n' | b'Simplify (m/(m**(-25)/m)*m)**(33/5)*(m**(1/58))**(-2/15) assuming m is positive.\n' | b'm**(80387/435)\n' | deepmind/math_dataset |
b'Let i = 15494 - 15492. Solve -i*d = 6*b - 38, 28 = 2*b + 16 for d.\n' | b'1\n' | b'Let i = 15494 - 15492. Solve -i*d = 6*b - 38, 28 = 2*b + 16 for d.\n' | b'1\n' | deepmind/math_dataset |
b'Let c(l) = -5*l**2 + 2*l + 1. Let s = -156 - -155. Determine c(s).\n' | b'-6\n' | b'Let c(l) = -5*l**2 + 2*l + 1. Let s = -156 - -155. Determine c(s).\n' | b'-6\n' | deepmind/math_dataset |
b'Suppose -4*w - f + 6 = -0*f, -3*w = -2*f + 1. Let r(l) = -7 - w + 3 + l + l**2. Calculate r(-4).\n' | b'7\n' | b'Suppose -4*w - f + 6 = -0*f, -3*w = -2*f + 1. Let r(l) = -7 - w + 3 + l + l**2. Calculate r(-4).\n' | b'7\n' | deepmind/math_dataset |
b'Suppose 0*v = -a - 3*v, -v - 39 = -4*a. Let p be (4 - 3)/(2/4). Let h be p/(-11) + 180/22. Solve h = -2*k, -c = -2*c + 3*k + a for c.\n' | b'-3\n' | b'Suppose 0*v = -a - 3*v, -v - 39 = -4*a. Let p be (4 - 3)/(2/4). Let h be p/(-11) + 180/22. Solve h = -2*k, -c = -2*c + 3*k + a for c.\n' | b'-3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {q: 2, t: 3, u: 1, i: 1}. What is prob of sequence tqq?\n' | b'1/35\n' | b'Three letters picked without replacement from {q: 2, t: 3, u: 1, i: 1}. What is prob of sequence tqq?\n' | b'1/35\n' | deepmind/math_dataset |
b'Let d = -16 - -10. Let a = -64 - -64. Let q(k) = k + a + 4 + 0. What is q(d)?\n' | b'-2\n' | b'Let d = -16 - -10. Let a = -64 - -64. Let q(k) = k + a + 4 + 0. What is q(d)?\n' | b'-2\n' | deepmind/math_dataset |
b'What is prob of sequence ojw when three letters picked without replacement from joywljm?\n' | b'1/105\n' | b'What is prob of sequence ojw when three letters picked without replacement from joywljm?\n' | b'1/105\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 q when two letters picked without replacement from hhhqhhhhhqhh.\n' | b'1/66\n' | b'Calculate prob of picking 2 q when two letters picked without replacement from hhhqhhhhhqhh.\n' | b'1/66\n' | deepmind/math_dataset |
b'Simplify ((t**(-1/5)/t)/t**(-1)*t**(-4)*t*t*t**(-4))**(8/15) assuming t is positive.\n' | b't**(-248/75)\n' | b'Simplify ((t**(-1/5)/t)/t**(-1)*t**(-4)*t*t*t**(-4))**(8/15) assuming t is positive.\n' | b't**(-248/75)\n' | deepmind/math_dataset |
b'Suppose 2*u + t = -0*t - 2, 0 = u - t + 7. Let x(m) = 2*m + 3. Give x(u).\n' | b'-3\n' | b'Suppose 2*u + t = -0*t - 2, 0 = u - t + 7. Let x(m) = 2*m + 3. Give x(u).\n' | b'-3\n' | deepmind/math_dataset |
b'Calculate prob of picking 4 n when four letters picked without replacement from {v: 3, n: 15}.\n' | b'91/204\n' | b'Calculate prob of picking 4 n when four letters picked without replacement from {v: 3, n: 15}.\n' | b'91/204\n' | deepmind/math_dataset |
b'Let l(i) = -11*i**3 + i. Let w be l(-1). Suppose -15 - w = -5*g. Solve -4 = -3*k + g*u - 3, 4 = -2*k + u for k.\n' | b'-3\n' | b'Let l(i) = -11*i**3 + i. Let w be l(-1). Suppose -15 - w = -5*g. Solve -4 = -3*k + g*u - 3, 4 = -2*k + u for k.\n' | b'-3\n' | deepmind/math_dataset |
b'What is prob of picking 4 q when four letters picked without replacement from dqqqqqd?\n' | b'1/7\n' | b'What is prob of picking 4 q when four letters picked without replacement from dqqqqqd?\n' | b'1/7\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {o: 5, s: 1, u: 3, a: 1}. Give prob of picking 3 o.\n' | b'1/12\n' | b'Three letters picked without replacement from {o: 5, s: 1, u: 3, a: 1}. Give prob of picking 3 o.\n' | b'1/12\n' | deepmind/math_dataset |
b'Suppose -56*n + 42 = -35*n. Solve 0 = 4*f + 3*y - 32, 2*f - n = 4*f - 3*y for f.\n' | b'5\n' | b'Suppose -56*n + 42 = -35*n. Solve 0 = 4*f + 3*y - 32, 2*f - n = 4*f - 3*y for f.\n' | b'5\n' | deepmind/math_dataset |
b'Let d(n) = 5 + 13*n**2 - 3*n**3 - 34*n + 4*n**3 + 32*n - 46*n. Let z be d(-16). Solve z*w - 33 = 2*u, 2*w = -3*u - 0 - 2 for u.\n' | b'-4\n' | b'Let d(n) = 5 + 13*n**2 - 3*n**3 - 34*n + 4*n**3 + 32*n - 46*n. Let z be d(-16). Solve z*w - 33 = 2*u, 2*w = -3*u - 0 - 2 for u.\n' | b'-4\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 o and 1 l when two letters picked without replacement from {q: 4, o: 1, i: 4, h: 8, d: 2, l: 1}.\n' | b'1/190\n' | b'Calculate prob of picking 1 o and 1 l when two letters picked without replacement from {q: 4, o: 1, i: 4, h: 8, d: 2, l: 1}.\n' | b'1/190\n' | deepmind/math_dataset |
b'Suppose -40*i + 44*i + 4 = 0. Let o(x) = -9*x**2 + 1. Calculate o(i).\n' | b'-8\n' | b'Suppose -40*i + 44*i + 4 = 0. Let o(x) = -9*x**2 + 1. Calculate o(i).\n' | b'-8\n' | deepmind/math_dataset |
b'Let f = -1172 + 1204. Solve 2*c - 3*q = 15, -4*c - 5*q - f = -7 for c.\n' | b'0\n' | b'Let f = -1172 + 1204. Solve 2*c - 3*q = 15, -4*c - 5*q - f = -7 for c.\n' | b'0\n' | deepmind/math_dataset |
b'Three letters picked without replacement from zldddzzddodzzzzoo. What is prob of sequence zzz?\n' | b'7/136\n' | b'Three letters picked without replacement from zldddzzddodzzzzoo. What is prob of sequence zzz?\n' | b'7/136\n' | deepmind/math_dataset |
b'Simplify (z**0/z)**(-45/4)*((z/(((z/z**(3/8)*z)/z*z)/z))/z)/z**0 assuming z is positive.\n' | b'z**(85/8)\n' | b'Simplify (z**0/z)**(-45/4)*((z/(((z/z**(3/8)*z)/z*z)/z))/z)/z**0 assuming z is positive.\n' | b'z**(85/8)\n' | deepmind/math_dataset |
b'Suppose -4 = -4*u + 3*u, -4*n - 2*u = 0. Let v(m) = 28*m + 53. Let o be v(n). Let x(q) = -3*q + 3*q + q. Calculate x(o).\n' | b'-3\n' | b'Suppose -4 = -4*u + 3*u, -4*n - 2*u = 0. Let v(m) = 28*m + 53. Let o be v(n). Let x(q) = -3*q + 3*q + q. Calculate x(o).\n' | b'-3\n' | deepmind/math_dataset |
b'What is prob of picking 4 o when four letters picked without replacement from {s: 1, o: 11}?\n' | b'2/3\n' | b'What is prob of picking 4 o when four letters picked without replacement from {s: 1, o: 11}?\n' | b'2/3\n' | deepmind/math_dataset |
b'Simplify ((((x/((x/(x*x*x**(-3)))/x)*x*x)/x)**(-4/33)/((x*(x**(-1/5)/x)/x)/x*x**4))**(-47))**(9/7) assuming x is positive.\n' | b'x**(44697/385)\n' | b'Simplify ((((x/((x/(x*x*x**(-3)))/x)*x*x)/x)**(-4/33)/((x*(x**(-1/5)/x)/x)/x*x**4))**(-47))**(9/7) assuming x is positive.\n' | b'x**(44697/385)\n' | deepmind/math_dataset |
b'Simplify (a**(1/9))**(1/93) assuming a is positive.\n' | b'a**(1/837)\n' | b'Simplify (a**(1/9))**(1/93) assuming a is positive.\n' | b'a**(1/837)\n' | deepmind/math_dataset |
b'Let y = 107 - 101. What is the second derivative of -v + 362*v**3 + 259*v**3 + y - 538*v**3 wrt v?\n' | b'498*v\n' | b'Let y = 107 - 101. What is the second derivative of -v + 362*v**3 + 259*v**3 + y - 538*v**3 wrt v?\n' | b'498*v\n' | deepmind/math_dataset |
b'Three letters picked without replacement from qfkqqqkhqkpqpkkff. Give prob of picking 1 p, 1 f, and 1 h.\n' | b'3/340\n' | b'Three letters picked without replacement from qfkqqqkhqkpqpkkff. Give prob of picking 1 p, 1 f, and 1 h.\n' | b'3/340\n' | deepmind/math_dataset |
b'Simplify ((h**(2/11)/h**(-5))/((h*h**5*h)/(h/(h/(h**3/h*h)))))**(-2/11) assuming h is positive.\n' | b'h**(-26/121)\n' | b'Simplify ((h**(2/11)/h**(-5))/((h*h**5*h)/(h/(h/(h**3/h*h)))))**(-2/11) assuming h is positive.\n' | b'h**(-26/121)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from nnekkkneeekkkn. Give prob of picking 1 k and 2 e.\n' | b'9/91\n' | b'Three letters picked without replacement from nnekkkneeekkkn. Give prob of picking 1 k and 2 e.\n' | b'9/91\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 s, 1 k, and 1 y when three letters picked without replacement from {w: 2, k: 1, y: 2, h: 1, u: 1, s: 1}.\n' | b'1/28\n' | b'Calculate prob of picking 1 s, 1 k, and 1 y when three letters picked without replacement from {w: 2, k: 1, y: 2, h: 1, u: 1, s: 1}.\n' | b'1/28\n' | deepmind/math_dataset |
b'What is the second derivative of 4*w + 17*w + 10*w**4 - 5*w wrt w?\n' | b'120*w**2\n' | b'What is the second derivative of 4*w + 17*w + 10*w**4 - 5*w wrt w?\n' | b'120*w**2\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 m when two letters picked without replacement from tmpmtmmpmtfi.\n' | b'5/33\n' | b'Calculate prob of picking 2 m when two letters picked without replacement from tmpmtmmpmtfi.\n' | b'5/33\n' | deepmind/math_dataset |
b'Two letters picked without replacement from arrrrupg. Give prob of sequence ap.\n' | b'1/56\n' | b'Two letters picked without replacement from arrrrupg. Give prob of sequence ap.\n' | b'1/56\n' | deepmind/math_dataset |
b'Let g be (-47 - -2)*-1*-1. Let a be 4/18 - 125/g. Solve -z - 23 = 4*w, a*w + 18 = -z - 0*z for w.\n' | b'-5\n' | b'Let g be (-47 - -2)*-1*-1. Let a be 4/18 - 125/g. Solve -z - 23 = 4*w, a*w + 18 = -z - 0*z for w.\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose 3*h + 5 = 5. Suppose 615 = 5*d + 2*x, h*d - 2*x = -d + 123. What is the second derivative of 24*k + 132*k**3 - 246*k**3 + d*k**3 wrt k?\n' | b'54*k\n' | b'Suppose 3*h + 5 = 5. Suppose 615 = 5*d + 2*x, h*d - 2*x = -d + 123. What is the second derivative of 24*k + 132*k**3 - 246*k**3 + d*k**3 wrt k?\n' | b'54*k\n' | deepmind/math_dataset |
b'What is prob of sequence vt when two letters picked without replacement from {v: 1, t: 17}?\n' | b'1/18\n' | b'What is prob of sequence vt when two letters picked without replacement from {v: 1, t: 17}?\n' | b'1/18\n' | deepmind/math_dataset |
b'What is the first derivative of 124*q**2 + 77*q**2 - 201*q**2 + 1452 - 830*q**4 - 2*q wrt q?\n' | b'-3320*q**3 - 2\n' | b'What is the first derivative of 124*q**2 + 77*q**2 - 201*q**2 + 1452 - 830*q**4 - 2*q wrt q?\n' | b'-3320*q**3 - 2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {q: 5, i: 2, h: 1, s: 1, d: 3}. What is prob of sequence sq?\n' | b'5/132\n' | b'Two letters picked without replacement from {q: 5, i: 2, h: 1, s: 1, d: 3}. What is prob of sequence sq?\n' | b'5/132\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {z: 2, u: 2, q: 1, a: 1, n: 1}. What is prob of picking 1 u and 1 q?\n' | b'2/21\n' | b'Two letters picked without replacement from {z: 2, u: 2, q: 1, a: 1, n: 1}. What is prob of picking 1 u and 1 q?\n' | b'2/21\n' | deepmind/math_dataset |
b'Calculate prob of sequence pbp when three letters picked without replacement from {r: 1, p: 2, b: 1, a: 3}.\n' | b'1/105\n' | b'Calculate prob of sequence pbp when three letters picked without replacement from {r: 1, p: 2, b: 1, a: 3}.\n' | b'1/105\n' | deepmind/math_dataset |
b'Simplify ((j/(((j**(-2)/j)/j)/j*j))**(-27))**(-1/2)*(j/j**0*j*j/((((j/(j*((j/j**(-5)*j*j)/j)/j))/j)/j)/j)*j)/(j**6*j*j*j**(-2)) assuming j is positive.\n' | b'j**(149/2)\n' | b'Simplify ((j/(((j**(-2)/j)/j)/j*j))**(-27))**(-1/2)*(j/j**0*j*j/((((j/(j*((j/j**(-5)*j*j)/j)/j))/j)/j)/j)*j)/(j**6*j*j*j**(-2)) assuming j is positive.\n' | b'j**(149/2)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from zztttwttttetes. Give prob of picking 1 z and 1 e.\n' | b'4/91\n' | b'Two letters picked without replacement from zztttwttttetes. Give prob of picking 1 z and 1 e.\n' | b'4/91\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {r: 3, v: 5, c: 4, x: 5, k: 1}. What is prob of picking 1 k and 1 v?\n' | b'5/153\n' | b'Two letters picked without replacement from {r: 3, v: 5, c: 4, x: 5, k: 1}. What is prob of picking 1 k and 1 v?\n' | b'5/153\n' | deepmind/math_dataset |
b'Suppose 0 = 3*u - 3*r, u + 0 = -r + 6. Find the first derivative of u - 9*o - 6 + 2 + 61*o wrt o.\n' | b'52\n' | b'Suppose 0 = 3*u - 3*r, u + 0 = -r + 6. Find the first derivative of u - 9*o - 6 + 2 + 61*o wrt o.\n' | b'52\n' | deepmind/math_dataset |
b'What is prob of picking 2 u and 2 q when four letters picked without replacement from uqqum?\n' | b'1/5\n' | b'What is prob of picking 2 u and 2 q when four letters picked without replacement from uqqum?\n' | b'1/5\n' | deepmind/math_dataset |
b'Differentiate 10004 - 14*f**2 + 155491*f**4 - 17*f**3 - 155470*f**4 + 17*f**3 - 1837 with respect to f.\n' | b'84*f**3 - 28*f\n' | b'Differentiate 10004 - 14*f**2 + 155491*f**4 - 17*f**3 - 155470*f**4 + 17*f**3 - 1837 with respect to f.\n' | b'84*f**3 - 28*f\n' | deepmind/math_dataset |
b'Let v = 63 - 61. Let p(y) be the first derivative of 0*y**v + y - 1/3*y**3 - 3. Find the first derivative of p(a) wrt a.\n' | b'-2*a\n' | b'Let v = 63 - 61. Let p(y) be the first derivative of 0*y**v + y - 1/3*y**3 - 3. Find the first derivative of p(a) wrt a.\n' | b'-2*a\n' | deepmind/math_dataset |
b'Let w(y) = y - 3. Let r be 18/45 + 26/10. Determine w(r).\n' | b'0\n' | b'Let w(y) = y - 3. Let r be 18/45 + 26/10. Determine w(r).\n' | b'0\n' | deepmind/math_dataset |
b'Suppose 21 - 7 = 2*x. Suppose 2*n = x*n - 20. Find the second derivative of 5*u + u - n*u**5 - 5*u wrt u.\n' | b'-80*u**3\n' | b'Suppose 21 - 7 = 2*x. Suppose 2*n = x*n - 20. Find the second derivative of 5*u + u - n*u**5 - 5*u wrt u.\n' | b'-80*u**3\n' | deepmind/math_dataset |
b'Let y = -278 - -281. Let v be (-6)/y + (-1 - -4 - -4). Let o(c) = -6*c + 12. Calculate o(v).\n' | b'-18\n' | b'Let y = -278 - -281. Let v be (-6)/y + (-1 - -4 - -4). Let o(c) = -6*c + 12. Calculate o(v).\n' | b'-18\n' | deepmind/math_dataset |
b'What is prob of sequence kzk when three letters picked without replacement from kkiwakhkkkaza?\n' | b'5/286\n' | b'What is prob of sequence kzk when three letters picked without replacement from kkiwakhkkkaza?\n' | b'5/286\n' | deepmind/math_dataset |
b'Let a be (-44)/3 + (-1)/3. Suppose -4*q = -q - 9. Let j be (-50)/a - (-2)/q. Solve c - j*c + 20 = -2*s, -4 = -2*c - s for c.\n' | b'4\n' | b'Let a be (-44)/3 + (-1)/3. Suppose -4*q = -q - 9. Let j be (-50)/a - (-2)/q. Solve c - j*c + 20 = -2*s, -4 = -2*c - s for c.\n' | b'4\n' | deepmind/math_dataset |
b'Let j(v) be the first derivative of 438*v**5/5 + 579*v + 687. What is the derivative of j(b) wrt b?\n' | b'1752*b**3\n' | b'Let j(v) be the first derivative of 438*v**5/5 + 579*v + 687. What is the derivative of j(b) wrt b?\n' | b'1752*b**3\n' | deepmind/math_dataset |
b'Calculate prob of picking 4 a when four letters picked without replacement from {a: 7, u: 4}.\n' | b'7/66\n' | b'Calculate prob of picking 4 a when four letters picked without replacement from {a: 7, u: 4}.\n' | b'7/66\n' | deepmind/math_dataset |
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