question stringlengths 40 165 | answer stringlengths 6 35 | instruction_seed stringlengths 40 165 | response_seed stringlengths 6 35 | _source stringclasses 1
value |
|---|---|---|---|---|
b'Let m(t) = t**2 + 7*t - 10. Let x(h) = -17*h + 126. Let d be x(8). Let r be (d - 64/(-8))*(1 + 3). What is m(r)?\n' | b'-2\n' | b'Let m(t) = t**2 + 7*t - 10. Let x(h) = -17*h + 126. Let d be x(8). Let r be (d - 64/(-8))*(1 + 3). What is m(r)?\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify ((d*d/d**(-4/13))/d)**(-3/11)*(d*d*(d**(6/11)*d)/d)/(d*d*d**(4/13)*d) assuming d is positive.\n' | b'd**(-160/143)\n' | b'Simplify ((d*d/d**(-4/13))/d)**(-3/11)*(d*d*(d**(6/11)*d)/d)/(d*d*d**(4/13)*d) assuming d is positive.\n' | b'd**(-160/143)\n' | deepmind/math_dataset |
b'Let m(b) = 20*b - 6. Let v(f) = 21*f - 5. Let y(l) = -2*m(l) + 3*v(l). Differentiate y(t) with respect to t.\n' | b'23\n' | b'Let m(b) = 20*b - 6. Let v(f) = 21*f - 5. Let y(l) = -2*m(l) + 3*v(l). Differentiate y(t) with respect to t.\n' | b'23\n' | deepmind/math_dataset |
b'Let z(w) = 6*w - 9. Let a be z(9). Suppose -4*u + 22 = 5*p - a, -4*u + 61 = 3*p. Let s = u - 7. Let j(r) = 2*r - 8. Give j(s).\n' | b'4\n' | b'Let z(w) = 6*w - 9. Let a be z(9). Suppose -4*u + 22 = 5*p - a, -4*u + 61 = 3*p. Let s = u - 7. Let j(r) = 2*r - 8. Give j(s).\n' | b'4\n' | deepmind/math_dataset |
b'What is prob of picking 1 k and 1 m when two letters picked without replacement from kdm?\n' | b'1/3\n' | b'What is prob of picking 1 k and 1 m when two letters picked without replacement from kdm?\n' | b'1/3\n' | deepmind/math_dataset |
b'Simplify (x**10*x**14*x)/(x**(6/7)*x**(2/19)) assuming x is positive.\n' | b'x**(3197/133)\n' | b'Simplify (x**10*x**14*x)/(x**(6/7)*x**(2/19)) assuming x is positive.\n' | b'x**(3197/133)\n' | deepmind/math_dataset |
b'Simplify ((c/((c*c**3)/c*c))**(-41))**(-38) assuming c is positive.\n' | b'c**(-4674)\n' | b'Simplify ((c/((c*c**3)/c*c))**(-41))**(-38) assuming c is positive.\n' | b'c**(-4674)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {o: 1, y: 1, q: 5, s: 1, g: 2}. What is prob of sequence qoq?\n' | b'1/36\n' | b'Three letters picked without replacement from {o: 1, y: 1, q: 5, s: 1, g: 2}. What is prob of sequence qoq?\n' | b'1/36\n' | deepmind/math_dataset |
b'Let a be ((-6)/(-2))/((-4)/(-4)). Suppose -3*k + a = -15. Let j be (-2)/(-4) - (-111)/k. Solve 2*n + 5*u - 20 = 0, -j + 6 = -n - 4*u for n.\n' | b'5\n' | b'Let a be ((-6)/(-2))/((-4)/(-4)). Suppose -3*k + a = -15. Let j be (-2)/(-4) - (-111)/k. Solve 2*n + 5*u - 20 = 0, -j + 6 = -n - 4*u for n.\n' | b'5\n' | deepmind/math_dataset |
b'What is the second derivative of -6 + 31*x**2 - 563*x**2 - 812*x**2 - 3 - 45*x wrt x?\n' | b'-2688\n' | b'What is the second derivative of -6 + 31*x**2 - 563*x**2 - 812*x**2 - 3 - 45*x wrt x?\n' | b'-2688\n' | deepmind/math_dataset |
b'Let f(z) = -190*z**4 - 2*z**3 + 8*z**2 + 2*z + 370. Let s(h) = -h**4 + h**3 - 4*h**2 - h. Let g(q) = -f(q) - 2*s(q). What is the derivative of g(t) wrt t?\n' | b'768*t**3\n' | b'Let f(z) = -190*z**4 - 2*z**3 + 8*z**2 + 2*z + 370. Let s(h) = -h**4 + h**3 - 4*h**2 - h. Let g(q) = -f(q) - 2*s(q). What is the derivative of g(t) wrt t?\n' | b'768*t**3\n' | deepmind/math_dataset |
b'Simplify ((x*x*x/x**9*x)/x*x*x**1)**38 assuming x is positive.\n' | b'x**(-152)\n' | b'Simplify ((x*x*x/x**9*x)/x*x*x**1)**38 assuming x is positive.\n' | b'x**(-152)\n' | deepmind/math_dataset |
b'What is prob of picking 2 v and 1 k when three letters picked without replacement from kkkkkkkkvkkvkkkkkkkk?\n' | b'3/190\n' | b'What is prob of picking 2 v and 1 k when three letters picked without replacement from kkkkkkkkvkkvkkkkkkkk?\n' | b'3/190\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 c when three letters picked without replacement from ccctctccctcc.\n' | b'21/55\n' | b'Calculate prob of picking 3 c when three letters picked without replacement from ccctctccctcc.\n' | b'21/55\n' | deepmind/math_dataset |
b'Calculate prob of sequence egge when four letters picked without replacement from egegeegeeegeeeeg.\n' | b'55/1092\n' | b'Calculate prob of sequence egge when four letters picked without replacement from egegeegeeegeeeeg.\n' | b'55/1092\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {u: 4, r: 7, l: 3}. What is prob of picking 2 l and 2 u?\n' | b'18/1001\n' | b'Four letters picked without replacement from {u: 4, r: 7, l: 3}. What is prob of picking 2 l and 2 u?\n' | b'18/1001\n' | deepmind/math_dataset |
b'Simplify (d**(-8)*d**(-4/3))**(-32)*(d/(d/(d*d/d**(3/8)))*d**8)/(d**(-1/3))**(-6/13) assuming d is positive.\n' | b'd**(96139/312)\n' | b'Simplify (d**(-8)*d**(-4/3))**(-32)*(d/(d/(d*d/d**(3/8)))*d**8)/(d**(-1/3))**(-6/13) assuming d is positive.\n' | b'd**(96139/312)\n' | deepmind/math_dataset |
b'Suppose -5*w + 1 = -b + 2, -5*b = 3*w - 5. Solve t + 1 = w, o - 4*t + 2 = -7*t for o.\n' | b'1\n' | b'Suppose -5*w + 1 = -b + 2, -5*b = 3*w - 5. Solve t + 1 = w, o - 4*t + 2 = -7*t for o.\n' | b'1\n' | deepmind/math_dataset |
b'Let o be 53/(-5) - (-2)/(-5). Let t(w) = -w - 10. Let s be t(o). Let q be s/(-2) + (-14)/(-4). Solve -3*y = c, -3*c - 9 - q = -3*y for y.\n' | b'1\n' | b'Let o be 53/(-5) - (-2)/(-5). Let t(w) = -w - 10. Let s be t(o). Let q be s/(-2) + (-14)/(-4). Solve -3*y = c, -3*c - 9 - q = -3*y for y.\n' | b'1\n' | deepmind/math_dataset |
b'Let w(r) be the first derivative of -r**8/28 + 11*r**4/12 - 65*r + 49. Let y(q) be the first derivative of w(q). Find the third derivative of y(m) wrt m.\n' | b'-240*m**3\n' | b'Let w(r) be the first derivative of -r**8/28 + 11*r**4/12 - 65*r + 49. Let y(q) be the first derivative of w(q). Find the third derivative of y(m) wrt m.\n' | b'-240*m**3\n' | deepmind/math_dataset |
b'Simplify (((b**(-3/8)*b)/b*b)/(b**(-3/2)*b)*(b**6/b)/b**(-2/7))/((b**1)**(-2/5)/((b/b**(1/6))/b*b**(-1)*b)) assuming b is positive.\n' | b'b**(5581/840)\n' | b'Simplify (((b**(-3/8)*b)/b*b)/(b**(-3/2)*b)*(b**6/b)/b**(-2/7))/((b**1)**(-2/5)/((b/b**(1/6))/b*b**(-1)*b)) assuming b is positive.\n' | b'b**(5581/840)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from gtygutkuyutttftytgt. Give prob of sequence yuu.\n' | b'1/323\n' | b'Three letters picked without replacement from gtygutkuyutttftytgt. Give prob of sequence yuu.\n' | b'1/323\n' | deepmind/math_dataset |
b'Let w(f) be the second derivative of 0*f**5 + 0*f**3 + 0 - 2/5*f**6 + 10*f**2 + 0*f**4 + 21*f. What is the first derivative of w(g) wrt g?\n' | b'-48*g**3\n' | b'Let w(f) be the second derivative of 0*f**5 + 0*f**3 + 0 - 2/5*f**6 + 10*f**2 + 0*f**4 + 21*f. What is the first derivative of w(g) wrt g?\n' | b'-48*g**3\n' | deepmind/math_dataset |
b'Let g(b) be the first derivative of 1062*b**7/7 + 2927*b**3/3 + b**2/2 - 681. What is the third derivative of g(v) wrt v?\n' | b'127440*v**3\n' | b'Let g(b) be the first derivative of 1062*b**7/7 + 2927*b**3/3 + b**2/2 - 681. What is the third derivative of g(v) wrt v?\n' | b'127440*v**3\n' | deepmind/math_dataset |
b'Simplify ((k*k/k**2)**(30/7)*(k**(5/2)*k*k)/(k/(k/k**(-5/3))))**23 assuming k is positive.\n' | b'k**(851/6)\n' | b'Simplify ((k*k/k**2)**(30/7)*(k**(5/2)*k*k)/(k/(k/k**(-5/3))))**23 assuming k is positive.\n' | b'k**(851/6)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {g: 8, o: 5}. What is prob of sequence gg?\n' | b'14/39\n' | b'Two letters picked without replacement from {g: 8, o: 5}. What is prob of sequence gg?\n' | b'14/39\n' | deepmind/math_dataset |
b'Let o(p) = -2*p + 2*p**2 - 3*p + p**3 + p. Suppose -4*b + 12 = -4*v, v + 2*b + 3 = -0*v. Calculate o(v).\n' | b'3\n' | b'Let o(p) = -2*p + 2*p**2 - 3*p + p**3 + p. Suppose -4*b + 12 = -4*v, v + 2*b + 3 = -0*v. Calculate o(v).\n' | b'3\n' | deepmind/math_dataset |
b'Find the second derivative of 61*p + 3 - 14*p**2 - 37*p - 8*p**2 wrt p.\n' | b'-44\n' | b'Find the second derivative of 61*p + 3 - 14*p**2 - 37*p - 8*p**2 wrt p.\n' | b'-44\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {k: 6, i: 5, n: 2, u: 3, c: 1}. Give prob of sequence uc.\n' | b'3/272\n' | b'Two letters picked without replacement from {k: 6, i: 5, n: 2, u: 3, c: 1}. Give prob of sequence uc.\n' | b'3/272\n' | deepmind/math_dataset |
b'Suppose -33 = -3*o - 8*o. Let w(b) = 11*b - 33. Let i be w(o). Let y(q) = -q**2 - q + 4. What is y(i)?\n' | b'4\n' | b'Suppose -33 = -3*o - 8*o. Let w(b) = 11*b - 33. Let i be w(o). Let y(q) = -q**2 - q + 4. What is y(i)?\n' | b'4\n' | deepmind/math_dataset |
b'Let o(l) = -l**2 - 8*l + 4. Suppose -32 = x + 3*x. Determine o(x).\n' | b'4\n' | b'Let o(l) = -l**2 - 8*l + 4. Suppose -32 = x + 3*x. Determine o(x).\n' | b'4\n' | deepmind/math_dataset |
b'Let g(s) be the third derivative of 0*s + 1/2*s**3 + 0 - 1/60*s**5 + 78*s**2 + 5/24*s**4. Give g(4).\n' | b'7\n' | b'Let g(s) be the third derivative of 0*s + 1/2*s**3 + 0 - 1/60*s**5 + 78*s**2 + 5/24*s**4. Give g(4).\n' | b'7\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {s: 5}. What is prob of picking 4 s?\n' | b'1\n' | b'Four letters picked without replacement from {s: 5}. What is prob of picking 4 s?\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 b, 1 t, 1 w, and 1 n when four letters picked without replacement from wftbttfnbntttit.\n' | b'4/195\n' | b'Calculate prob of picking 1 b, 1 t, 1 w, and 1 n when four letters picked without replacement from wftbttfnbntttit.\n' | b'4/195\n' | deepmind/math_dataset |
b'Let v(y) be the third derivative of -y**5/60 - y**4/12 + 2*y**3/3 - 14*y**2. Let q be v(0). Solve -4*j - 4*p = q + 4, 17 = 2*j - 5*p for j.\n' | b'1\n' | b'Let v(y) be the third derivative of -y**5/60 - y**4/12 + 2*y**3/3 - 14*y**2. Let q be v(0). Solve -4*j - 4*p = q + 4, 17 = 2*j - 5*p for j.\n' | b'1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from lllliiiliiiiii. What is prob of sequence li?\n' | b'45/182\n' | b'Two letters picked without replacement from lllliiiliiiiii. What is prob of sequence li?\n' | b'45/182\n' | deepmind/math_dataset |
b'Three letters picked without replacement from gggggqqqqggqqggqqqqg. Give prob of picking 1 q and 2 g.\n' | b'15/38\n' | b'Three letters picked without replacement from gggggqqqqggqqggqqqqg. Give prob of picking 1 q and 2 g.\n' | b'15/38\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 p, 1 w, and 1 j when three letters picked without replacement from {w: 4, p: 3, b: 10, j: 2}.\n' | b'8/323\n' | b'Calculate prob of picking 1 p, 1 w, and 1 j when three letters picked without replacement from {w: 4, p: 3, b: 10, j: 2}.\n' | b'8/323\n' | deepmind/math_dataset |
b'What is prob of picking 1 v and 2 e when three letters picked without replacement from veexv?\n' | b'1/5\n' | b'What is prob of picking 1 v and 2 e when three letters picked without replacement from veexv?\n' | b'1/5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {h: 2, q: 1, r: 1, t: 1, v: 1, o: 1}. Give prob of picking 1 h, 1 t, 1 o, and 1 v.\n' | b'2/35\n' | b'Four letters picked without replacement from {h: 2, q: 1, r: 1, t: 1, v: 1, o: 1}. Give prob of picking 1 h, 1 t, 1 o, and 1 v.\n' | b'2/35\n' | deepmind/math_dataset |
b'What is prob of picking 1 e and 1 l when two letters picked without replacement from pllpliyllpyliepp?\n' | b'1/20\n' | b'What is prob of picking 1 e and 1 l when two letters picked without replacement from pllpliyllpyliepp?\n' | b'1/20\n' | deepmind/math_dataset |
b'Let m(c) = -4*c + 168 - 169 + 18. Give m(8).\n' | b'-15\n' | b'Let m(c) = -4*c + 168 - 169 + 18. Give m(8).\n' | b'-15\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {f: 1, z: 2, a: 2, g: 1, s: 1}. What is prob of picking 2 g?\n' | b'0\n' | b'Two letters picked without replacement from {f: 1, z: 2, a: 2, g: 1, s: 1}. What is prob of picking 2 g?\n' | b'0\n' | deepmind/math_dataset |
b'Suppose 0 = 2*m + 8, 5*m = -2*y - 12 + 2. Suppose 2*g - 28 = -2*p + 4*p, 5*p + y = 0. Let o = -8 + g. Solve 10 = -5*f - 5*b, -f + o*b + 3 = 5 for f.\n' | b'-2\n' | b'Suppose 0 = 2*m + 8, 5*m = -2*y - 12 + 2. Suppose 2*g - 28 = -2*p + 4*p, 5*p + y = 0. Let o = -8 + g. Solve 10 = -5*f - 5*b, -f + o*b + 3 = 5 for f.\n' | b'-2\n' | deepmind/math_dataset |
b'Let b(d) = d**3 - d. Let m(t) = t**4 - 620*t**3 - 20*t**5 + 614*t**3 - t**4. Let p(f) = 6*b(f) + m(f). What is the second derivative of p(x) wrt x?\n' | b'-400*x**3\n' | b'Let b(d) = d**3 - d. Let m(t) = t**4 - 620*t**3 - 20*t**5 + 614*t**3 - t**4. Let p(f) = 6*b(f) + m(f). What is the second derivative of p(x) wrt x?\n' | b'-400*x**3\n' | deepmind/math_dataset |
b'Let h be 1*18 - 36/18. Solve -2*s + 3*s = -4*w + 12, -w - h = 5*s for w.\n' | b'4\n' | b'Let h be 1*18 - 36/18. Solve -2*s + 3*s = -4*w + 12, -w - h = 5*s for w.\n' | b'4\n' | deepmind/math_dataset |
b'Calculate prob of sequence nds when three letters picked without replacement from ppnnndnnnnspnpn.\n' | b'3/910\n' | b'Calculate prob of sequence nds when three letters picked without replacement from ppnnndnnnnspnpn.\n' | b'3/910\n' | deepmind/math_dataset |
b'Let f be ((-18)/8)/((-333)/444). Solve -4*r + 4*q = -0*q + 12, -6 = 2*r - f*q for r.\n' | b'-3\n' | b'Let f be ((-18)/8)/((-333)/444). Solve -4*r + 4*q = -0*q + 12, -6 = 2*r - f*q for r.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify (p**(-4/7))**(-14/5)/((p*p/p**(-1/20))/p)**(-2/137) assuming p is positive.\n' | b'p**(2213/1370)\n' | b'Simplify (p**(-4/7))**(-14/5)/((p*p/p**(-1/20))/p)**(-2/137) assuming p is positive.\n' | b'p**(2213/1370)\n' | deepmind/math_dataset |
b'Simplify (q**(-2/25)/(q/(q/((q*q**(2/3)/q)/q))*q))**(-10/19)*q**(1/3)/q**(-6)*q**(-5)*q*(q*((q/q**(2/3))/q)/q)/q assuming q is positive.\n' | b'q**(302/285)\n' | b'Simplify (q**(-2/25)/(q/(q/((q*q**(2/3)/q)/q))*q))**(-10/19)*q**(1/3)/q**(-6)*q**(-5)*q*(q*((q/q**(2/3))/q)/q)/q assuming q is positive.\n' | b'q**(302/285)\n' | deepmind/math_dataset |
b'Let q(u) be the first derivative of -5/3*u**3 + 13 + 2*u**2 + 1/4*u**4 - 7*u. Give q(5).\n' | b'13\n' | b'Let q(u) be the first derivative of -5/3*u**3 + 13 + 2*u**2 + 1/4*u**4 - 7*u. Give q(5).\n' | b'13\n' | deepmind/math_dataset |
b'Let d(s) = s**3 - 2. Suppose -3*m - 23 = -4*r, r + r - 2*m - 14 = 0. Let l be d(r). Suppose -5 + l = -u. Let i(c) = 8*c**3 + c**2. Determine i(u).\n' | b'-7\n' | b'Let d(s) = s**3 - 2. Suppose -3*m - 23 = -4*r, r + r - 2*m - 14 = 0. Let l be d(r). Suppose -5 + l = -u. Let i(c) = 8*c**3 + c**2. Determine i(u).\n' | b'-7\n' | deepmind/math_dataset |
b'Suppose -3*s = 5*u - 0*s + 5, -2*u + 5*s = -29. Let b = 2761 + -2759. Solve -b*r = -u*y - 10, -4*y + 10 = 2*r - 2*y for r.\n' | b'5\n' | b'Suppose -3*s = 5*u - 0*s + 5, -2*u + 5*s = -29. Let b = 2761 + -2759. Solve -b*r = -u*y - 10, -4*y + 10 = 2*r - 2*y for r.\n' | b'5\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {c: 8, y: 6, u: 1, z: 1, q: 1}. What is prob of sequence cyq?\n' | b'1/85\n' | b'Three letters picked without replacement from {c: 8, y: 6, u: 1, z: 1, q: 1}. What is prob of sequence cyq?\n' | b'1/85\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {u: 3, d: 7, b: 8}. What is prob of picking 3 u and 1 b?\n' | b'2/765\n' | b'Four letters picked without replacement from {u: 3, d: 7, b: 8}. What is prob of picking 3 u and 1 b?\n' | b'2/765\n' | deepmind/math_dataset |
b'What is prob of picking 1 e and 3 r when four letters picked without replacement from xxxxererxrer?\n' | b'4/165\n' | b'What is prob of picking 1 e and 3 r when four letters picked without replacement from xxxxererxrer?\n' | b'4/165\n' | deepmind/math_dataset |
b'Let u(g) be the first derivative of g**5 + 6*g**2 - 18. What is the second derivative of u(f) wrt f?\n' | b'60*f**2\n' | b'Let u(g) be the first derivative of g**5 + 6*g**2 - 18. What is the second derivative of u(f) wrt f?\n' | b'60*f**2\n' | deepmind/math_dataset |
b'Calculate prob of sequence ljll when four letters picked without replacement from hwolwowwjh.\n' | b'0\n' | b'Calculate prob of sequence ljll when four letters picked without replacement from hwolwowwjh.\n' | b'0\n' | deepmind/math_dataset |
b'Three letters picked without replacement from oooeoeooeooooo. Give prob of sequence oee.\n' | b'11/364\n' | b'Three letters picked without replacement from oooeoeooeooooo. Give prob of sequence oee.\n' | b'11/364\n' | deepmind/math_dataset |
b'Calculate prob of sequence nr when two letters picked without replacement from winrrriwwmrmnnwwdnw.\n' | b'8/171\n' | b'Calculate prob of sequence nr when two letters picked without replacement from winrrriwwmrmnnwwdnw.\n' | b'8/171\n' | deepmind/math_dataset |
b'Let k(z) = 42*z - 41*z - 2*z**2 + z**2 - 1 + 2*z**2. Give k(2).\n' | b'5\n' | b'Let k(z) = 42*z - 41*z - 2*z**2 + z**2 - 1 + 2*z**2. Give k(2).\n' | b'5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from eyyyeywyyyywy. What is prob of sequence ye?\n' | b'3/26\n' | b'Two letters picked without replacement from eyyyeywyyyywy. What is prob of sequence ye?\n' | b'3/26\n' | deepmind/math_dataset |
b'Let q = 108498 + -47387. What is the second derivative of 61081*h**2 - 18*h - 183*h - q*h**2 wrt h?\n' | b'-60\n' | b'Let q = 108498 + -47387. What is the second derivative of 61081*h**2 - 18*h - 183*h - q*h**2 wrt h?\n' | b'-60\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {k: 1, h: 1, j: 3, e: 3, p: 5, x: 1}. Give prob of sequence jeh.\n' | b'3/728\n' | b'Three letters picked without replacement from {k: 1, h: 1, j: 3, e: 3, p: 5, x: 1}. Give prob of sequence jeh.\n' | b'3/728\n' | deepmind/math_dataset |
b'Four letters picked without replacement from glwbbslwlbseee. What is prob of sequence eggg?\n' | b'0\n' | b'Four letters picked without replacement from glwbbslwlbseee. What is prob of sequence eggg?\n' | b'0\n' | deepmind/math_dataset |
b'Three letters picked without replacement from zyzzzpzzpzzzypyp. Give prob of sequence zyp.\n' | b'9/280\n' | b'Three letters picked without replacement from zyzzzpzzpzzzypyp. Give prob of sequence zyp.\n' | b'9/280\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 r, 1 z, and 1 h when three letters picked without replacement from zznrzzhzzrhreezhzhe.\n' | b'32/323\n' | b'Calculate prob of picking 1 r, 1 z, and 1 h when three letters picked without replacement from zznrzzhzzrhreezhzhe.\n' | b'32/323\n' | deepmind/math_dataset |
b'Simplify ((h*h*h**(2/7))/h**(-1/4))**(-20)*((h**(-2/7))**(1/6))**(-4/7) assuming h is positive.\n' | b'h**(-7451/147)\n' | b'Simplify ((h*h*h**(2/7))/h**(-1/4))**(-20)*((h**(-2/7))**(1/6))**(-4/7) assuming h is positive.\n' | b'h**(-7451/147)\n' | deepmind/math_dataset |
b'Let x be -1 - -1 - -7 - 2. Suppose 22*d - 24*d + 5*r + 35 = 0, -2*r - 10 = 0. Solve 4*y + f + 3 = -7, x*y = d*f - 25 for y.\n' | b'-3\n' | b'Let x be -1 - -1 - -7 - 2. Suppose 22*d - 24*d + 5*r + 35 = 0, -2*r - 10 = 0. Solve 4*y + f + 3 = -7, x*y = d*f - 25 for y.\n' | b'-3\n' | deepmind/math_dataset |
b'Let b(u) be the first derivative of -877*u**5/5 + 791*u**2/2 - 2*u - 1149. Find the second derivative of b(a) wrt a.\n' | b'-10524*a**2\n' | b'Let b(u) be the first derivative of -877*u**5/5 + 791*u**2/2 - 2*u - 1149. Find the second derivative of b(a) wrt a.\n' | b'-10524*a**2\n' | deepmind/math_dataset |
b'Let h(k) = 2100*k - 119. Let n(j) = -268*j + 15. Let t(a) = 6*h(a) + 47*n(a). Let b(y) = y**3 + 5*y**2 + 5*y + 4. Let r be b(-3). Calculate t(r).\n' | b'19\n' | b'Let h(k) = 2100*k - 119. Let n(j) = -268*j + 15. Let t(a) = 6*h(a) + 47*n(a). Let b(y) = y**3 + 5*y**2 + 5*y + 4. Let r be b(-3). Calculate t(r).\n' | b'19\n' | deepmind/math_dataset |
b'Simplify ((k*k**(-1))**(-19))**(-33)/(k/k**(-3)*k*k**(-3)*(k*k**(2/17)*k)/(k*k*k*k*k*k*k**(3/5)*k*k*k)) assuming k is positive.\n' | b'k**(466/85)\n' | b'Simplify ((k*k**(-1))**(-19))**(-33)/(k/k**(-3)*k*k**(-3)*(k*k**(2/17)*k)/(k*k*k*k*k*k*k**(3/5)*k*k*k)) assuming k is positive.\n' | b'k**(466/85)\n' | deepmind/math_dataset |
b'Suppose 104*a - 110*a = -24. Let y(j) = -340*j + 342*j - 13 + a. Give y(0).\n' | b'-9\n' | b'Suppose 104*a - 110*a = -24. Let y(j) = -340*j + 342*j - 13 + a. Give y(0).\n' | b'-9\n' | deepmind/math_dataset |
b'Let i(v) be the second derivative of -v**5/20 + v**4/2 + 5*v**2/2 - 37*v. Give i(6).\n' | b'5\n' | b'Let i(v) be the second derivative of -v**5/20 + v**4/2 + 5*v**2/2 - 37*v. Give i(6).\n' | b'5\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {p: 6, e: 12}. What is prob of picking 3 p?\n' | b'5/204\n' | b'Three letters picked without replacement from {p: 6, e: 12}. What is prob of picking 3 p?\n' | b'5/204\n' | deepmind/math_dataset |
b'Simplify (q*q**(-35))**47/(q**45*q*q**(1/26)*q) assuming q is positive.\n' | b'q**(-42771/26)\n' | b'Simplify (q*q**(-35))**47/(q**45*q*q**(1/26)*q) assuming q is positive.\n' | b'q**(-42771/26)\n' | deepmind/math_dataset |
b'Simplify (j*j**(-2/5))**(-22)*j/(j*j**(-1/5)*j)*j*j**(-8) assuming j is positive.\n' | b'j**(-21)\n' | b'Simplify (j*j**(-2/5))**(-22)*j/(j*j**(-1/5)*j)*j*j**(-8) assuming j is positive.\n' | b'j**(-21)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {v: 4, u: 2, r: 3, m: 2, l: 2}. Give prob of picking 1 u and 1 m.\n' | b'2/39\n' | b'Two letters picked without replacement from {v: 4, u: 2, r: 3, m: 2, l: 2}. Give prob of picking 1 u and 1 m.\n' | b'2/39\n' | deepmind/math_dataset |
b'Let v be ((-4)/6)/(26/(-39))*113. Let z = v - 102. Let l(r) = -11*r - 21*r + r**2 + 63*r - 22*r - z. Determine l(-10).\n' | b'-1\n' | b'Let v be ((-4)/6)/(26/(-39))*113. Let z = v - 102. Let l(r) = -11*r - 21*r + r**2 + 63*r - 22*r - z. Determine l(-10).\n' | b'-1\n' | deepmind/math_dataset |
b'Let p(m) = -2*m + 2. Let j be p(-2). Suppose 2*d = -d + j. Suppose 0 = -5*k + 5 + 30. Solve 0 = -2*n - d, -k*l + n - 4 = -2*l for l.\n' | b'-1\n' | b'Let p(m) = -2*m + 2. Let j be p(-2). Suppose 2*d = -d + j. Suppose 0 = -5*k + 5 + 30. Solve 0 = -2*n - d, -k*l + n - 4 = -2*l for l.\n' | b'-1\n' | deepmind/math_dataset |
b'Suppose o - 69 = 6*d - d, d + 4*o + 18 = 0. Let t be (-126)/18*8/d. Solve 0 = -0*u - t*u - 5*c - 9, u - 2*c - 14 = 0 for u.\n' | b'4\n' | b'Suppose o - 69 = 6*d - d, d + 4*o + 18 = 0. Let t be (-126)/18*8/d. Solve 0 = -0*u - t*u - 5*c - 9, u - 2*c - 14 = 0 for u.\n' | b'4\n' | deepmind/math_dataset |
b'Calculate prob of sequence fgy when three letters picked without replacement from ogffgpoyggffggf.\n' | b'1/91\n' | b'Calculate prob of sequence fgy when three letters picked without replacement from ogffgpoyggffggf.\n' | b'1/91\n' | deepmind/math_dataset |
b'Let x(v) = v**2 + 11*v + 2. Let h be x(-11). Let j be 8 - 5/(25/10). What is the first derivative of h*t**3 - j + 15*t - 15*t wrt t?\n' | b'6*t**2\n' | b'Let x(v) = v**2 + 11*v + 2. Let h be x(-11). Let j be 8 - 5/(25/10). What is the first derivative of h*t**3 - j + 15*t - 15*t wrt t?\n' | b'6*t**2\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 l and 1 q when two letters picked without replacement from lhwwhqqlqhqqwwwqlw.\n' | b'2/17\n' | b'Calculate prob of picking 1 l and 1 q when two letters picked without replacement from lhwwhqqlqhqqwwwqlw.\n' | b'2/17\n' | deepmind/math_dataset |
b'What is prob of sequence vvx when three letters picked without replacement from {g: 2, x: 1, v: 4}?\n' | b'2/35\n' | b'What is prob of sequence vvx when three letters picked without replacement from {g: 2, x: 1, v: 4}?\n' | b'2/35\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 q and 1 a when two letters picked without replacement from qqqrrrrarqq.\n' | b'1/11\n' | b'Calculate prob of picking 1 q and 1 a when two letters picked without replacement from qqqrrrrarqq.\n' | b'1/11\n' | deepmind/math_dataset |
b'Simplify (v**3/v)**31 assuming v is positive.\n' | b'v**62\n' | b'Simplify (v**3/v)**31 assuming v is positive.\n' | b'v**62\n' | deepmind/math_dataset |
b'Two letters picked without replacement from vttvvvvtvt. Give prob of picking 1 v and 1 t.\n' | b'8/15\n' | b'Two letters picked without replacement from vttvvvvtvt. Give prob of picking 1 v and 1 t.\n' | b'8/15\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {s: 3, z: 4, q: 3, a: 4, f: 2}. What is prob of sequence sa?\n' | b'1/20\n' | b'Two letters picked without replacement from {s: 3, z: 4, q: 3, a: 4, f: 2}. What is prob of sequence sa?\n' | b'1/20\n' | deepmind/math_dataset |
b'What is prob of picking 3 q when three letters picked without replacement from qqqqqqqqqq?\n' | b'1\n' | b'What is prob of picking 3 q when three letters picked without replacement from qqqqqqqqqq?\n' | b'1\n' | deepmind/math_dataset |
b'Let s(c) be the second derivative of 4 - 7*c + 9*c**2 + 21/2*c**3. What is the first derivative of s(g) wrt g?\n' | b'63\n' | b'Let s(c) be the second derivative of 4 - 7*c + 9*c**2 + 21/2*c**3. What is the first derivative of s(g) wrt g?\n' | b'63\n' | deepmind/math_dataset |
b'Calculate prob of sequence ehrr when four letters picked without replacement from rrorhhoeohohhhhehhre.\n' | b'9/3230\n' | b'Calculate prob of sequence ehrr when four letters picked without replacement from rrorhhoeohohhhhehhre.\n' | b'9/3230\n' | deepmind/math_dataset |
b'Simplify a/((a/(((a/a**(-7))/a)/a*a*a))/a)*a*a**7*a**(-6/7)*a**(-1/9)/a assuming a is positive.\n' | b'a**(947/63)\n' | b'Simplify a/((a/(((a/a**(-7))/a)/a*a*a))/a)*a*a**7*a**(-6/7)*a**(-1/9)/a assuming a is positive.\n' | b'a**(947/63)\n' | deepmind/math_dataset |
b'What is prob of picking 2 j when two letters picked without replacement from {y: 4, m: 9, j: 6}?\n' | b'5/57\n' | b'What is prob of picking 2 j when two letters picked without replacement from {y: 4, m: 9, j: 6}?\n' | b'5/57\n' | deepmind/math_dataset |
b'Let s(j) = 10*j**2 - 14*j + 10. Let q be 8/6*(-42)/(-4). Let w(h) = -2*h**2 + 3*h - 2. Let t(v) = q*w(v) + 3*s(v). Differentiate t(f) with respect to f.\n' | b'4*f\n' | b'Let s(j) = 10*j**2 - 14*j + 10. Let q be 8/6*(-42)/(-4). Let w(h) = -2*h**2 + 3*h - 2. Let t(v) = q*w(v) + 3*s(v). Differentiate t(f) with respect to f.\n' | b'4*f\n' | deepmind/math_dataset |
b'Four letters picked without replacement from vgpvvpvvggapvaapvg. What is prob of picking 1 g, 1 p, and 2 v?\n' | b'28/255\n' | b'Four letters picked without replacement from vgpvvpvvggapvaapvg. What is prob of picking 1 g, 1 p, and 2 v?\n' | b'28/255\n' | deepmind/math_dataset |
b'Let s(k) be the second derivative of 2/7*k**7 + 0*k**6 + 0*k**4 + 0*k**5 + 5*k + 0 + 0*k**2 - k**3. Find the second derivative of s(g) wrt g.\n' | b'240*g**3\n' | b'Let s(k) be the second derivative of 2/7*k**7 + 0*k**6 + 0*k**4 + 0*k**5 + 5*k + 0 + 0*k**2 - k**3. Find the second derivative of s(g) wrt g.\n' | b'240*g**3\n' | deepmind/math_dataset |
b'Simplify ((z/(z/((z**10*z*z)/z)))/z*z*z*(z*z**(-10)*z*z)/z*z)**(-33) assuming z is positive.\n' | b'z**(-165)\n' | b'Simplify ((z/(z/((z**10*z*z)/z)))/z*z*z*(z*z**(-10)*z*z)/z*z)**(-33) assuming z is positive.\n' | b'z**(-165)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {j: 6}. Give prob of sequence jj.\n' | b'1\n' | b'Two letters picked without replacement from {j: 6}. Give prob of sequence jj.\n' | b'1\n' | deepmind/math_dataset |
b'Let v be (1 + 6)*(-4)/(-14). Let j be v - -3 - (1 - 2). Find the second derivative of k - j*k + 2*k + 3*k**2 wrt k.\n' | b'6\n' | b'Let v be (1 + 6)*(-4)/(-14). Let j be v - -3 - (1 - 2). Find the second derivative of k - j*k + 2*k + 3*k**2 wrt k.\n' | b'6\n' | deepmind/math_dataset |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.