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'Suppose 7 - 17 = -5*i. Suppose i*c - c = 5. Find the first derivative of 3 - 1 - 7*s**2 - c*s**2 - 4 wrt s.\n' | b'-24*s\n' | b'Suppose 7 - 17 = -5*i. Suppose i*c - c = 5. Find the first derivative of 3 - 1 - 7*s**2 - c*s**2 - 4 wrt s.\n' | b'-24*s\n' | deepmind/math_dataset |
b'Simplify (n**(-2))**(-2/37)/((n**(-15)*n)/n)**(14/11) assuming n is positive.\n' | b'n**(7814/407)\n' | b'Simplify (n**(-2))**(-2/37)/((n**(-15)*n)/n)**(14/11) assuming n is positive.\n' | b'n**(7814/407)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from btttpttttttbtt. What is prob of picking 1 p and 1 t?\n' | b'11/91\n' | b'Two letters picked without replacement from btttpttttttbtt. What is prob of picking 1 p and 1 t?\n' | b'11/91\n' | deepmind/math_dataset |
b'Let v(a) = 6*a**3 + 32*a**2 + 8*a - 6. Let f be v(-5). Solve 0 = -3*p + 5 - 17, 0 = -2*o - f*p - 6 for o.\n' | b'5\n' | b'Let v(a) = 6*a**3 + 32*a**2 + 8*a - 6. Let f be v(-5). Solve 0 = -3*p + 5 - 17, 0 = -2*o - f*p - 6 for o.\n' | b'5\n' | deepmind/math_dataset |
b'Calculate prob of sequence xx when two letters picked without replacement from {x: 9}.\n' | b'1\n' | b'Calculate prob of sequence xx when two letters picked without replacement from {x: 9}.\n' | b'1\n' | deepmind/math_dataset |
b'Suppose -6*z + z - k = -26, z - 2 = -k. Let j be -1*(-3 - z)*3. Solve 8 = -5*s + 3*b - 14, 2*b + j = -5*s for s.\n' | b'-5\n' | b'Suppose -6*z + z - k = -26, z - 2 = -k. Let j be -1*(-3 - z)*3. Solve 8 = -5*s + 3*b - 14, 2*b + j = -5*s for s.\n' | b'-5\n' | deepmind/math_dataset |
b'Let j be (-3)/(-4)*12/(-1). Suppose -41*k = -69*k - 168. Let m = k - j. Let t(p) = -3*p**2 + 4*p. Give t(m).\n' | b'-15\n' | b'Let j be (-3)/(-4)*12/(-1). Suppose -41*k = -69*k - 168. Let m = k - j. Let t(p) = -3*p**2 + 4*p. Give t(m).\n' | b'-15\n' | deepmind/math_dataset |
b'What is prob of picking 2 h, 1 u, and 1 i when four letters picked without replacement from {i: 9, u: 4, h: 4}?\n' | b'54/595\n' | b'What is prob of picking 2 h, 1 u, and 1 i when four letters picked without replacement from {i: 9, u: 4, h: 4}?\n' | b'54/595\n' | deepmind/math_dataset |
b'Simplify x**(1/17)/(x/(((x*x**(-21))/x)/x))*x**(-4/5)*x**(-16) assuming x is positive.\n' | b'x**(-3378/85)\n' | b'Simplify x**(1/17)/(x/(((x*x**(-21))/x)/x))*x**(-4/5)*x**(-16) assuming x is positive.\n' | b'x**(-3378/85)\n' | deepmind/math_dataset |
b'Simplify (n/(n**9/n))**(-1/41)*(n/n**(-7))**33 assuming n is positive.\n' | b'n**(10831/41)\n' | b'Simplify (n/(n**9/n))**(-1/41)*(n/n**(-7))**33 assuming n is positive.\n' | b'n**(10831/41)\n' | deepmind/math_dataset |
b'What is prob of picking 3 u when three letters picked without replacement from caauuauacuu?\n' | b'2/33\n' | b'What is prob of picking 3 u when three letters picked without replacement from caauuauacuu?\n' | b'2/33\n' | deepmind/math_dataset |
b'Let f(z) be the first derivative of 290*z**7/7 - 167*z**3/3 - 254. Find the third derivative of f(y) wrt y.\n' | b'34800*y**3\n' | b'Let f(z) be the first derivative of 290*z**7/7 - 167*z**3/3 - 254. Find the third derivative of f(y) wrt y.\n' | b'34800*y**3\n' | deepmind/math_dataset |
b'What is prob of sequence tt when two letters picked without replacement from {t: 7, p: 3}?\n' | b'7/15\n' | b'What is prob of sequence tt when two letters picked without replacement from {t: 7, p: 3}?\n' | b'7/15\n' | deepmind/math_dataset |
b'Suppose o - 8 = -o. Let n = -616 - -618. What is the third derivative of -g**2 - 11*g**o + 6*g**2 + 5*g**n wrt g?\n' | b'-264*g\n' | b'Suppose o - 8 = -o. Let n = -616 - -618. What is the third derivative of -g**2 - 11*g**o + 6*g**2 + 5*g**n wrt g?\n' | b'-264*g\n' | deepmind/math_dataset |
b'Simplify (b**(-16)/(b*b*b*((b/(b**11/b))/b)/b*b)*(((b*b/(b/((b**28*b)/b*b*b)*b)*b)/b)/b)/(b*b**(-1/39)))**48 assuming b is positive.\n' | b'b**(11872/13)\n' | b'Simplify (b**(-16)/(b*b*b*((b/(b**11/b))/b)/b*b)*(((b*b/(b/((b**28*b)/b*b*b)*b)*b)/b)/b)/(b*b**(-1/39)))**48 assuming b is positive.\n' | b'b**(11872/13)\n' | deepmind/math_dataset |
b'Suppose 7*j - 9*j - 4*t - 4 = 0, -5*t = 30. Solve j + 5 = -5*c - 4*x, 3*c + 9 = 2*x for c.\n' | b'-3\n' | b'Suppose 7*j - 9*j - 4*t - 4 = 0, -5*t = 30. Solve j + 5 = -5*c - 4*x, 3*c + 9 = 2*x for c.\n' | b'-3\n' | deepmind/math_dataset |
b'Let l(z) be the first derivative of -10/3*z**3 + 0*z**2 + 0*z**6 + 0*z + 0*z**4 - z**7 + 0*z**5 - 6. What is the third derivative of l(p) wrt p?\n' | b'-840*p**3\n' | b'Let l(z) be the first derivative of -10/3*z**3 + 0*z**2 + 0*z**6 + 0*z + 0*z**4 - z**7 + 0*z**5 - 6. What is the third derivative of l(p) wrt p?\n' | b'-840*p**3\n' | deepmind/math_dataset |
b'Let q(b) be the first derivative of b**6/120 - b**5/60 - b**4/24 + b**3/6 - b**2 + 39. Let k(h) be the second derivative of q(h). Calculate k(1).\n' | b'0\n' | b'Let q(b) be the first derivative of b**6/120 - b**5/60 - b**4/24 + b**3/6 - b**2 + 39. Let k(h) be the second derivative of q(h). Calculate k(1).\n' | b'0\n' | deepmind/math_dataset |
b'Find the second derivative of 50*p**5 - 25*p**4 + 16*p**4 + 5*p + 9*p**4 wrt p.\n' | b'1000*p**3\n' | b'Find the second derivative of 50*p**5 - 25*p**4 + 16*p**4 + 5*p + 9*p**4 wrt p.\n' | b'1000*p**3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {a: 1, v: 7, u: 1}. What is prob of picking 3 v?\n' | b'5/12\n' | b'Three letters picked without replacement from {a: 1, v: 7, u: 1}. What is prob of picking 3 v?\n' | b'5/12\n' | deepmind/math_dataset |
b'Three letters picked without replacement from zsvsvzzsssszzmsv. What is prob of sequence vzm?\n' | b'1/224\n' | b'Three letters picked without replacement from zsvsvzzsssszzmsv. What is prob of sequence vzm?\n' | b'1/224\n' | deepmind/math_dataset |
b'Let t be 33/12 + (21/(-12) - -1). Let m(p) = 6*p**2 - 3*p - 1. Let u be m(t). What is the third derivative of 81*f - u*f**2 + 2*f**4 - 81*f wrt f?\n' | b'48*f\n' | b'Let t be 33/12 + (21/(-12) - -1). Let m(p) = 6*p**2 - 3*p - 1. Let u be m(t). What is the third derivative of 81*f - u*f**2 + 2*f**4 - 81*f wrt f?\n' | b'48*f\n' | deepmind/math_dataset |
b'Let h(v) = v**3 - 32*v**2 - 36*v + 99. Let j(y) = -2*y**2 + 580*y - 5567. Let u be j(10). What is h(u)?\n' | b'0\n' | b'Let h(v) = v**3 - 32*v**2 - 36*v + 99. Let j(y) = -2*y**2 + 580*y - 5567. Let u be j(10). What is h(u)?\n' | b'0\n' | deepmind/math_dataset |
b'Let r(o) = -161*o + 5 + 54*o + 50*o + 55*o. Give r(4).\n' | b'-3\n' | b'Let r(o) = -161*o + 5 + 54*o + 50*o + 55*o. Give r(4).\n' | b'-3\n' | deepmind/math_dataset |
b'Let l(d) be the second derivative of 101*d**3/2 + 166*d**2 + 370*d. Find the first derivative of l(a) wrt a.\n' | b'303\n' | b'Let l(d) be the second derivative of 101*d**3/2 + 166*d**2 + 370*d. Find the first derivative of l(a) wrt a.\n' | b'303\n' | deepmind/math_dataset |
b'Let l = 58 + -56. Suppose -j + 426 = l*h, 3*j + 7*h = 2*h + 1275. Let v(p) = 0*p - 428 - p + j. Give v(-8).\n' | b'0\n' | b'Let l = 58 + -56. Suppose -j + 426 = l*h, 3*j + 7*h = 2*h + 1275. Let v(p) = 0*p - 428 - p + j. Give v(-8).\n' | b'0\n' | deepmind/math_dataset |
b'Let n(s) be the first derivative of 19*s**4/12 + 10*s**2 + 21*s - 18. Let d(z) be the first derivative of n(z). Differentiate d(f) wrt f.\n' | b'38*f\n' | b'Let n(s) be the first derivative of 19*s**4/12 + 10*s**2 + 21*s - 18. Let d(z) be the first derivative of n(z). Differentiate d(f) wrt f.\n' | b'38*f\n' | deepmind/math_dataset |
b'Let v be (((-27)/(-5))/(-3))/(102/(-1360)). Let k(j) = -2*j**2 + 50*j - 17. Calculate k(v).\n' | b'31\n' | b'Let v be (((-27)/(-5))/(-3))/(102/(-1360)). Let k(j) = -2*j**2 + 50*j - 17. Calculate k(v).\n' | b'31\n' | deepmind/math_dataset |
b'Let p(q) = 312*q**2 + 4 - 3*q**3 - 4 - 308*q**2 + 5 + 4*q. Give p(4).\n' | b'-107\n' | b'Let p(q) = 312*q**2 + 4 - 3*q**3 - 4 - 308*q**2 + 5 + 4*q. Give p(4).\n' | b'-107\n' | deepmind/math_dataset |
b'Simplify ((m**(-2))**(-6/5))**17*(m/m**(-6)*m*m/(m**1*m)*m)**(12/11) assuming m is positive.\n' | b'm**(2724/55)\n' | b'Simplify ((m**(-2))**(-6/5))**17*(m/m**(-6)*m*m/(m**1*m)*m)**(12/11) assuming m is positive.\n' | b'm**(2724/55)\n' | deepmind/math_dataset |
b'Let q(b) = 3*b + 3. Let p(g) = 6*g + 6. Let i(f) = 2*p(f) - 5*q(f). Calculate i(-3).\n' | b'6\n' | b'Let q(b) = 3*b + 3. Let p(g) = 6*g + 6. Let i(f) = 2*p(f) - 5*q(f). Calculate i(-3).\n' | b'6\n' | deepmind/math_dataset |
b'Two letters picked without replacement from txxtt. Give prob of sequence tt.\n' | b'3/10\n' | b'Two letters picked without replacement from txxtt. Give prob of sequence tt.\n' | b'3/10\n' | deepmind/math_dataset |
b'What is prob of sequence yyl when three letters picked without replacement from kyyyuillkko?\n' | b'2/165\n' | b'What is prob of sequence yyl when three letters picked without replacement from kyyyuillkko?\n' | b'2/165\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {j: 1, o: 1, k: 6, z: 1}. Give prob of picking 1 k and 1 z.\n' | b'1/6\n' | b'Two letters picked without replacement from {j: 1, o: 1, k: 6, z: 1}. Give prob of picking 1 k and 1 z.\n' | b'1/6\n' | deepmind/math_dataset |
b'Two letters picked without replacement from jjkjvgffqqggf. Give prob of picking 1 j and 1 f.\n' | b'3/26\n' | b'Two letters picked without replacement from jjkjvgffqqggf. Give prob of picking 1 j and 1 f.\n' | b'3/26\n' | deepmind/math_dataset |
b'Suppose -6*l - 15 = -183. Suppose -52 - l = -20*m. Let r = 8 - 6. Solve -m*z - 15 = 1, -r*a - z + 6 = 0 for a.\n' | b'5\n' | b'Suppose -6*l - 15 = -183. Suppose -52 - l = -20*m. Let r = 8 - 6. Solve -m*z - 15 = 1, -r*a - z + 6 = 0 for a.\n' | b'5\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 d and 2 x when three letters picked without replacement from exedexemdeedx.\n' | b'9/286\n' | b'Calculate prob of picking 1 d and 2 x when three letters picked without replacement from exedexemdeedx.\n' | b'9/286\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 p when two letters picked without replacement from ppippipiiipp.\n' | b'7/22\n' | b'Calculate prob of picking 2 p when two letters picked without replacement from ppippipiiipp.\n' | b'7/22\n' | deepmind/math_dataset |
b'Let k(y) = -2*y**2 - 10*y + 13. Let j(n) = 7*n - 30*n + 7 + 11*n - n**2 + 7*n. Let m(g) = -11*j(g) + 6*k(g). Calculate m(-7).\n' | b'-13\n' | b'Let k(y) = -2*y**2 - 10*y + 13. Let j(n) = 7*n - 30*n + 7 + 11*n - n**2 + 7*n. Let m(g) = -11*j(g) + 6*k(g). Calculate m(-7).\n' | b'-13\n' | deepmind/math_dataset |
b'Two letters picked without replacement from nmzvnzizizva. What is prob of sequence nz?\n' | b'2/33\n' | b'Two letters picked without replacement from nmzvnzizizva. What is prob of sequence nz?\n' | b'2/33\n' | deepmind/math_dataset |
b'Let q(d) = -d**3 - 217 + 3*d - 21*d**2 + 537 - 258. Calculate q(-21).\n' | b'-1\n' | b'Let q(d) = -d**3 - 217 + 3*d - 21*d**2 + 537 - 258. Calculate q(-21).\n' | b'-1\n' | deepmind/math_dataset |
b'Let y(r) = r - 4. Let h be (-2)/(-6)*(12 + -3). Let d be h/3 + (2 - 3). Determine y(d).\n' | b'-4\n' | b'Let y(r) = r - 4. Let h be (-2)/(-6)*(12 + -3). Let d be h/3 + (2 - 3). Determine y(d).\n' | b'-4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ninbn. What is prob of sequence ni?\n' | b'3/20\n' | b'Two letters picked without replacement from ninbn. What is prob of sequence ni?\n' | b'3/20\n' | deepmind/math_dataset |
b'Suppose -4*b + 2*v + 22 = -0*b, 5*b - v = 26. Suppose -3*l = -4*l. Differentiate -b*y + 3 + 1 + l*y - y with respect to y.\n' | b'-6\n' | b'Suppose -4*b + 2*v + 22 = -0*b, 5*b - v = 26. Suppose -3*l = -4*l. Differentiate -b*y + 3 + 1 + l*y - y with respect to y.\n' | b'-6\n' | deepmind/math_dataset |
b'Let q(c) = c**3 + c**2 + c - 1. Let i(d) = -5*d + 99. Let w be i(20). Let h(l) = -3*l**3 - 9*l**2 - 6*l + 2. Let z(g) = w*h(g) - 4*q(g). Calculate z(6).\n' | b'-22\n' | b'Let q(c) = c**3 + c**2 + c - 1. Let i(d) = -5*d + 99. Let w be i(20). Let h(l) = -3*l**3 - 9*l**2 - 6*l + 2. Let z(g) = w*h(g) - 4*q(g). Calculate z(6).\n' | b'-22\n' | deepmind/math_dataset |
b'What is prob of picking 1 z and 1 v when two letters picked without replacement from zzzpazzttatttvztt?\n' | b'3/68\n' | b'What is prob of picking 1 z and 1 v when two letters picked without replacement from zzzpazzttatttvztt?\n' | b'3/68\n' | deepmind/math_dataset |
b'Let r(x) = x. Let f be r(6). Suppose -5*z = -w - 73, -27*z + 23*z + w = -59. Solve -5*n - z = 3*q - 0*q, -n + q = f for n.\n' | b'-4\n' | b'Let r(x) = x. Let f be r(6). Suppose -5*z = -w - 73, -27*z + 23*z + w = -59. Solve -5*n - z = 3*q - 0*q, -n + q = f for n.\n' | b'-4\n' | deepmind/math_dataset |
b'What is prob of sequence at when two letters picked without replacement from stthsssssatthtatttt?\n' | b'1/19\n' | b'What is prob of sequence at when two letters picked without replacement from stthsssssatthtatttt?\n' | b'1/19\n' | deepmind/math_dataset |
b'What is prob of sequence eg when two letters picked without replacement from {x: 1, g: 1, v: 1, p: 1, f: 1, e: 2}?\n' | b'1/21\n' | b'What is prob of sequence eg when two letters picked without replacement from {x: 1, g: 1, v: 1, p: 1, f: 1, e: 2}?\n' | b'1/21\n' | deepmind/math_dataset |
b'Two letters picked without replacement from sttsssststsxssstitxt. Give prob of sequence xs.\n' | b'1/19\n' | b'Two letters picked without replacement from sttsssststsxssstitxt. Give prob of sequence xs.\n' | b'1/19\n' | deepmind/math_dataset |
b'Simplify (c*c**(3/2))**10*(c*c/((c**(-1)/c)/c)*c)**(-4/9) assuming c is positive.\n' | b'c**(67/3)\n' | b'Simplify (c*c**(3/2))**10*(c*c/((c**(-1)/c)/c)*c)**(-4/9) assuming c is positive.\n' | b'c**(67/3)\n' | deepmind/math_dataset |
b'Let i(k) = 111*k**2 + 128*k + 4. Let w(u) = 1 - 1559*u - 1 + 1688*u + 112*u**2 + 5. Let h(r) = -5*i(r) + 4*w(r). What is the second derivative of h(j) wrt j?\n' | b'-214\n' | b'Let i(k) = 111*k**2 + 128*k + 4. Let w(u) = 1 - 1559*u - 1 + 1688*u + 112*u**2 + 5. Let h(r) = -5*i(r) + 4*w(r). What is the second derivative of h(j) wrt j?\n' | b'-214\n' | deepmind/math_dataset |
b'Suppose 0*c + 20 = -4*c + 2*y, 0 = c + 4*y + 14. Let v be 6/1*c/9. Let t be v/(-8)*(-16)/(-2). Solve -3*h = t*f + 16, 2*f + h - 14 = 5*h for f.\n' | b'-1\n' | b'Suppose 0*c + 20 = -4*c + 2*y, 0 = c + 4*y + 14. Let v be 6/1*c/9. Let t be v/(-8)*(-16)/(-2). Solve -3*h = t*f + 16, 2*f + h - 14 = 5*h for f.\n' | b'-1\n' | deepmind/math_dataset |
b'What is prob of sequence nn when two letters picked without replacement from nwwnnww?\n' | b'1/7\n' | b'What is prob of sequence nn when two letters picked without replacement from nwwnnww?\n' | b'1/7\n' | deepmind/math_dataset |
b'Let z = 603 - 1154. Let l = z + 554. Solve -4*k - 22 = -k + 4*r, 5*k + l*r + 22 = 0 for k.\n' | b'-2\n' | b'Let z = 603 - 1154. Let l = z + 554. Solve -4*k - 22 = -k + 4*r, 5*k + l*r + 22 = 0 for k.\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify t*t**(2/151)*t*(t**(-1/8)/t*t*t)/t assuming t is positive.\n' | b't**(2281/1208)\n' | b'Simplify t*t**(2/151)*t*(t**(-1/8)/t*t*t)/t assuming t is positive.\n' | b't**(2281/1208)\n' | deepmind/math_dataset |
b'Let o(q) = -10*q - 2. Let d be o(-1). Let z(k) = 2*k - 11. Let r be z(d). Let n(f) = f - 7. What is n(r)?\n' | b'-2\n' | b'Let o(q) = -10*q - 2. Let d be o(-1). Let z(k) = 2*k - 11. Let r be z(d). Let n(f) = f - 7. What is n(r)?\n' | b'-2\n' | deepmind/math_dataset |
b'Let u be (-456)/(-108) - 4/18. Let j(v) = 4 + u*v - 7*v + v. Determine j(-5).\n' | b'14\n' | b'Let u be (-456)/(-108) - 4/18. Let j(v) = 4 + u*v - 7*v + v. Determine j(-5).\n' | b'14\n' | deepmind/math_dataset |
b'Simplify (n/n**(-13)*n**15*n)/(n**8)**(-9) assuming n is positive.\n' | b'n**102\n' | b'Simplify (n/n**(-13)*n**15*n)/(n**8)**(-9) assuming n is positive.\n' | b'n**102\n' | deepmind/math_dataset |
b'Let p be ((-4)/(-6))/((-3)/(-54)). Let o be (0 - -2) + 3 + 0. Suppose -b = -2*b. Solve a + 12 = -o*k, -k + b*a = 5*a - p for k.\n' | b'-3\n' | b'Let p be ((-4)/(-6))/((-3)/(-54)). Let o be (0 - -2) + 3 + 0. Suppose -b = -2*b. Solve a + 12 = -o*k, -k + b*a = 5*a - p for k.\n' | b'-3\n' | deepmind/math_dataset |
b'Let b(u) be the second derivative of -u**9/168 + u**5/60 - 3*u**2/2 + 3*u. Let i(l) be the first derivative of b(l). What is the third derivative of i(s) wrt s?\n' | b'-360*s**3\n' | b'Let b(u) be the second derivative of -u**9/168 + u**5/60 - 3*u**2/2 + 3*u. Let i(l) be the first derivative of b(l). What is the third derivative of i(s) wrt s?\n' | b'-360*s**3\n' | deepmind/math_dataset |
b'Let l(k) = -1 + 0*k + 4*k - k - 2*k. Let g be l(3). What is the third derivative of 8*m**2 - 4*m**4 - m**2 - 2*m**g + 5*m**4 wrt m?\n' | b'24*m\n' | b'Let l(k) = -1 + 0*k + 4*k - k - 2*k. Let g be l(3). What is the third derivative of 8*m**2 - 4*m**4 - m**2 - 2*m**g + 5*m**4 wrt m?\n' | b'24*m\n' | deepmind/math_dataset |
b'Calculate prob of sequence wg when two letters picked without replacement from {w: 2, g: 1, d: 1, e: 2}.\n' | b'1/15\n' | b'Calculate prob of sequence wg when two letters picked without replacement from {w: 2, g: 1, d: 1, e: 2}.\n' | b'1/15\n' | deepmind/math_dataset |
b'Let q be ((-14)/3)/(1/(-3)). Let t be ((-1)/(-1))/(2/8). Suppose -20 + 2 = -9*b. Solve 2*v - q = 3*h, b*v = h - t + 10 for v.\n' | b'1\n' | b'Let q be ((-14)/3)/(1/(-3)). Let t be ((-1)/(-1))/(2/8). Suppose -20 + 2 = -9*b. Solve 2*v - q = 3*h, b*v = h - t + 10 for v.\n' | b'1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from jjttjj. Give prob of sequence ttj.\n' | b'1/15\n' | b'Three letters picked without replacement from jjttjj. Give prob of sequence ttj.\n' | b'1/15\n' | deepmind/math_dataset |
b'Calculate prob of sequence gbuu when four letters picked without replacement from dsbdudsudsgbdgggbu.\n' | b'1/1020\n' | b'Calculate prob of sequence gbuu when four letters picked without replacement from dsbdudsudsgbdgggbu.\n' | b'1/1020\n' | deepmind/math_dataset |
b'Two letters picked without replacement from uuubbuubiuiuuuuuu. What is prob of picking 1 u and 1 i?\n' | b'3/17\n' | b'Two letters picked without replacement from uuubbuubiuiuuuuuu. What is prob of picking 1 u and 1 i?\n' | b'3/17\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {s: 2, l: 1, q: 1, u: 3}. Give prob of sequence sqs.\n' | b'1/105\n' | b'Three letters picked without replacement from {s: 2, l: 1, q: 1, u: 3}. Give prob of sequence sqs.\n' | b'1/105\n' | deepmind/math_dataset |
b'Let o(t) = 5*t**3 - 12*t**2 + 66*t - 9. Let b be o(7). What is the third derivative of -131*m**2 - 1579*m**4 - 3*m**5 - 4*m**6 + 3*m**5 + b*m**4 wrt m?\n' | b'-480*m**3 + 24*m\n' | b'Let o(t) = 5*t**3 - 12*t**2 + 66*t - 9. Let b be o(7). What is the third derivative of -131*m**2 - 1579*m**4 - 3*m**5 - 4*m**6 + 3*m**5 + b*m**4 wrt m?\n' | b'-480*m**3 + 24*m\n' | deepmind/math_dataset |
b'Let a(s) = -4*s**3 - 5*s**2 - s + 9. Let m(u) = -3*u**3 - 5*u**2 - u + 8. Let n(d) = -4*a(d) + 5*m(d). Calculate n(5).\n' | b'-1\n' | b'Let a(s) = -4*s**3 - 5*s**2 - s + 9. Let m(u) = -3*u**3 - 5*u**2 - u + 8. Let n(d) = -4*a(d) + 5*m(d). Calculate n(5).\n' | b'-1\n' | deepmind/math_dataset |
b'Suppose -4*y + 40 = -48. Let d(a) = -a**3 - a**2 - 3*a + 3. Let f be d(5). Let k = -104 - f. Solve 0 = -c - 5, -4*c = -4*l + k - y for l.\n' | b'4\n' | b'Suppose -4*y + 40 = -48. Let d(a) = -a**3 - a**2 - 3*a + 3. Let f be d(5). Let k = -104 - f. Solve 0 = -c - 5, -4*c = -4*l + k - y for l.\n' | b'4\n' | deepmind/math_dataset |
b'Let b(j) be the third derivative of -j**7/420 + j**4/24 - j**3/3 - 9*j**2. Let r(y) be the first derivative of b(y). Calculate r(1).\n' | b'-1\n' | b'Let b(j) be the third derivative of -j**7/420 + j**4/24 - j**3/3 - 9*j**2. Let r(y) be the first derivative of b(y). Calculate r(1).\n' | b'-1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {n: 17, v: 3}. What is prob of picking 3 v?\n' | b'1/1140\n' | b'Three letters picked without replacement from {n: 17, v: 3}. What is prob of picking 3 v?\n' | b'1/1140\n' | deepmind/math_dataset |
b'Let a(z) = 6*z**3. Suppose 8 = -5*w + 3*v, 4*w + 0*v + 3 = -v. Give a(w).\n' | b'-6\n' | b'Let a(z) = 6*z**3. Suppose 8 = -5*w + 3*v, 4*w + 0*v + 3 = -v. Give a(w).\n' | b'-6\n' | deepmind/math_dataset |
b'Four letters picked without replacement from lqlgilllegllllqlill. Give prob of sequence gell.\n' | b'11/3876\n' | b'Four letters picked without replacement from lqlgilllegllllqlill. Give prob of sequence gell.\n' | b'11/3876\n' | deepmind/math_dataset |
b'Three letters picked without replacement from kjdkbuuzbbjkud. Give prob of picking 1 j, 1 b, and 1 k.\n' | b'9/182\n' | b'Three letters picked without replacement from kjdkbuuzbbjkud. Give prob of picking 1 j, 1 b, and 1 k.\n' | b'9/182\n' | deepmind/math_dataset |
b'Let h(l) = 0 - 6*l - 1 + l + 4*l**2 + l**3 - 4. What is h(-5)?\n' | b'-5\n' | b'Let h(l) = 0 - 6*l - 1 + l + 4*l**2 + l**3 - 4. What is h(-5)?\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify (u**(-1/5))**3 assuming u is positive.\n' | b'u**(-3/5)\n' | b'Simplify (u**(-1/5))**3 assuming u is positive.\n' | b'u**(-3/5)\n' | deepmind/math_dataset |
b'Let a be (6/48)/((-1)/(-24)). Suppose g - 2*u - 1 = 0, u - 13 = -0*g - 4*g. Suppose -g*t - 65 = -8*t. Solve t = a*j + o, -5*j + 4*o + 16 = -0*j for j.\n' | b'4\n' | b'Let a be (6/48)/((-1)/(-24)). Suppose g - 2*u - 1 = 0, u - 13 = -0*g - 4*g. Suppose -g*t - 65 = -8*t. Solve t = a*j + o, -5*j + 4*o + 16 = -0*j for j.\n' | b'4\n' | deepmind/math_dataset |
b'Let f be 9/(6/2) + -2. Let r(n) = 3*n**2 - n + 2. Let y(h) = -h**2 - 1. Let s(o) = f*r(o) + 2*y(o). What is the second derivative of s(k) wrt k?\n' | b'2\n' | b'Let f be 9/(6/2) + -2. Let r(n) = 3*n**2 - n + 2. Let y(h) = -h**2 - 1. Let s(o) = f*r(o) + 2*y(o). What is the second derivative of s(k) wrt k?\n' | b'2\n' | deepmind/math_dataset |
b'Simplify ((i**(-4/7)/(i/(i/i**(3/8))*i))/(i**(-2/27)/i**(-22)))**(-8/9) assuming i is positive.\n' | b'i**(36095/1701)\n' | b'Simplify ((i**(-4/7)/(i/(i/i**(3/8))*i))/(i**(-2/27)/i**(-22)))**(-8/9) assuming i is positive.\n' | b'i**(36095/1701)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 w, 1 g, and 1 h when three letters picked without replacement from {p: 2, h: 1, g: 10, w: 1}.\n' | b'5/182\n' | b'Calculate prob of picking 1 w, 1 g, and 1 h when three letters picked without replacement from {p: 2, h: 1, g: 10, w: 1}.\n' | b'5/182\n' | deepmind/math_dataset |
b'Let t(y) = y**3 - 7*y**2 + 2*y - 10. Let c be t(7). Find the second derivative of -5*v**c - 8*v + 7*v - 2*v + 4*v wrt v.\n' | b'-60*v**2\n' | b'Let t(y) = y**3 - 7*y**2 + 2*y - 10. Let c be t(7). Find the second derivative of -5*v**c - 8*v + 7*v - 2*v + 4*v wrt v.\n' | b'-60*v**2\n' | deepmind/math_dataset |
b'Let z(m) = 2*m - 6*m**2 + 6 + 2*m + 2*m + m**3 - m. Let x be z(5). Let w(r) = r**2 - 5*r - 1. Let q be w(x). Let g(o) = 3*o - 4. Give g(q).\n' | b'11\n' | b'Let z(m) = 2*m - 6*m**2 + 6 + 2*m + 2*m + m**3 - m. Let x be z(5). Let w(r) = r**2 - 5*r - 1. Let q be w(x). Let g(o) = 3*o - 4. Give g(q).\n' | b'11\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {r: 2, d: 1, u: 2, m: 1}. Give prob of sequence uudr.\n' | b'1/90\n' | b'Four letters picked without replacement from {r: 2, d: 1, u: 2, m: 1}. Give prob of sequence uudr.\n' | b'1/90\n' | deepmind/math_dataset |
b'Let k(f) = -2*f + 13. Let g be k(4). Let z(r) = -r + 7. Calculate z(g).\n' | b'2\n' | b'Let k(f) = -2*f + 13. Let g be k(4). Let z(r) = -r + 7. Calculate z(g).\n' | b'2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from gshhsi. Give prob of picking 2 g and 1 h.\n' | b'0\n' | b'Three letters picked without replacement from gshhsi. Give prob of picking 2 g and 1 h.\n' | b'0\n' | deepmind/math_dataset |
b'Four letters picked without replacement from bbyyybbysbss. Give prob of sequence ssys.\n' | b'1/495\n' | b'Four letters picked without replacement from bbyyybbysbss. Give prob of sequence ssys.\n' | b'1/495\n' | deepmind/math_dataset |
b'Let w(u) = -u**2 - 5*u + 4. Let q be w(-5). Suppose -q*g - 3*n + 0*n = 7, -2*n - 18 = -4*g. Find the third derivative of 2*t**5 + t**5 - 2*t**5 - 2*t**g wrt t.\n' | b'60*t**2\n' | b'Let w(u) = -u**2 - 5*u + 4. Let q be w(-5). Suppose -q*g - 3*n + 0*n = 7, -2*n - 18 = -4*g. Find the third derivative of 2*t**5 + t**5 - 2*t**5 - 2*t**g wrt t.\n' | b'60*t**2\n' | deepmind/math_dataset |
b'Calculate prob of sequence amsm when four letters picked without replacement from mhlmaamshsmlmhssh.\n' | b'1/357\n' | b'Calculate prob of sequence amsm when four letters picked without replacement from mhlmaamshsmlmhssh.\n' | b'1/357\n' | deepmind/math_dataset |
b'Suppose -14*n = 2*n. Solve 2*s + 3*f + 17 = n, -s + 3*f + 14 = -0*f for s.\n' | b'-1\n' | b'Suppose -14*n = 2*n. Solve 2*s + 3*f + 17 = n, -s + 3*f + 14 = -0*f for s.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify ((c**(-1)*c)/c)**(4/9)*c**0/(c/c**(1/3)*c) assuming c is positive.\n' | b'c**(-19/9)\n' | b'Simplify ((c**(-1)*c)/c)**(4/9)*c**0/(c/c**(1/3)*c) assuming c is positive.\n' | b'c**(-19/9)\n' | deepmind/math_dataset |
b'Suppose 13*w = 2*z + 8*w - 31, 1 = 2*z + w. Suppose 0 = -4*u, b - 3*u - 5 = -4. Solve 4*r = 4*h - 9 + b, -r = -z for h.\n' | b'5\n' | b'Suppose 13*w = 2*z + 8*w - 31, 1 = 2*z + w. Suppose 0 = -4*u, b - 3*u - 5 = -4. Solve 4*r = 4*h - 9 + b, -r = -z for h.\n' | b'5\n' | deepmind/math_dataset |
b'Simplify b/b**(-10)*b**1*b**5*b*b*b**(-2/9)*b assuming b is positive.\n' | b'b**(178/9)\n' | b'Simplify b/b**(-10)*b**1*b**5*b*b*b**(-2/9)*b assuming b is positive.\n' | b'b**(178/9)\n' | deepmind/math_dataset |
b'What is the third derivative of -745*m**5 - 136*m**2 - 32*m**2 + 2561*m**5 + 2696*m**5 + 11 wrt m?\n' | b'270720*m**2\n' | b'What is the third derivative of -745*m**5 - 136*m**2 - 32*m**2 + 2561*m**5 + 2696*m**5 + 11 wrt m?\n' | b'270720*m**2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from kkikkkik. What is prob of sequence kkki?\n' | b'1/7\n' | b'Four letters picked without replacement from kkikkkik. What is prob of sequence kkki?\n' | b'1/7\n' | deepmind/math_dataset |
b'What is prob of picking 3 d when three letters picked without replacement from dddd?\n' | b'1\n' | b'What is prob of picking 3 d when three letters picked without replacement from dddd?\n' | b'1\n' | deepmind/math_dataset |
b'Let p(y) be the second derivative of 7*y**4/12 - 26*y**3/3 + 66*y. Find the second derivative of p(t) wrt t.\n' | b'14\n' | b'Let p(y) be the second derivative of 7*y**4/12 - 26*y**3/3 + 66*y. Find the second derivative of p(t) wrt t.\n' | b'14\n' | deepmind/math_dataset |
b'Find the first derivative of 2*j**2 - 13 - 6*j**2 - 15*j**2 + 2*j**2 wrt j.\n' | b'-34*j\n' | b'Find the first derivative of 2*j**2 - 13 - 6*j**2 - 15*j**2 + 2*j**2 wrt j.\n' | b'-34*j\n' | deepmind/math_dataset |
b'Suppose 0 = -c + 7*c - 36. What is the first derivative of -3*h**2 + h**2 - 7 + c - 11 wrt h?\n' | b'-4*h\n' | b'Suppose 0 = -c + 7*c - 36. What is the first derivative of -3*h**2 + h**2 - 7 + c - 11 wrt h?\n' | b'-4*h\n' | deepmind/math_dataset |
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