question stringlengths 40 165 | answer stringlengths 6 35 | instruction_seed stringlengths 40 165 | response_seed stringlengths 6 35 | _source stringclasses 1
value |
|---|---|---|---|---|
b'What is prob of sequence miym when four letters picked without replacement from yyimmmyyjjjyyymjyyy?\n' | b'5/3876\n' | b'What is prob of sequence miym when four letters picked without replacement from yyimmmyyjjjyyymjyyy?\n' | b'5/3876\n' | deepmind/math_dataset |
b'Let z(a) be the first derivative of 22*a**7/7 - 2*a**3/3 + 15. Find the third derivative of z(s) wrt s.\n' | b'2640*s**3\n' | b'Let z(a) be the first derivative of 22*a**7/7 - 2*a**3/3 + 15. Find the third derivative of z(s) wrt s.\n' | b'2640*s**3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from qvnvdvvddoonaooddd. Give prob of sequence nn.\n' | b'1/153\n' | b'Two letters picked without replacement from qvnvdvvddoonaooddd. Give prob of sequence nn.\n' | b'1/153\n' | deepmind/math_dataset |
b'Find the second derivative of -15*r**5 - 12*r**5 - 2*r**5 + 7*r wrt r.\n' | b'-580*r**3\n' | b'Find the second derivative of -15*r**5 - 12*r**5 - 2*r**5 + 7*r wrt r.\n' | b'-580*r**3\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 y and 1 j when two letters picked without replacement from jqwyykkqkk.\n' | b'2/45\n' | b'Calculate prob of picking 1 y and 1 j when two letters picked without replacement from jqwyykkqkk.\n' | b'2/45\n' | deepmind/math_dataset |
b'Calculate prob of sequence dfd when three letters picked without replacement from {d: 9, f: 5}.\n' | b'15/91\n' | b'Calculate prob of sequence dfd when three letters picked without replacement from {d: 9, f: 5}.\n' | b'15/91\n' | deepmind/math_dataset |
b'Let u(w) = -w**3 + 6*w**2 - 3*w - 6. Let h be u(5). Suppose 0 = 5*a + p - 80, a - h*a + 36 = 3*p. What is the derivative of 35 + 3*o**2 + 5*o**2 - 27 - a wrt o?\n' | b'16*o\n' | b'Let u(w) = -w**3 + 6*w**2 - 3*w - 6. Let h be u(5). Suppose 0 = 5*a + p - 80, a - h*a + 36 = 3*p. What is the derivative of 35 + 3*o**2 + 5*o**2 - 27 - a wrt o?\n' | b'16*o\n' | deepmind/math_dataset |
b'Suppose 2 - 4 = i. Let z be (9/i)/(3/(-8)). Solve 2*k = 3*h + 5*k - z, 2*k - 7 = -3*h for h.\n' | b'-1\n' | b'Suppose 2 - 4 = i. Let z be (9/i)/(3/(-8)). Solve 2*k = 3*h + 5*k - z, 2*k - 7 = -3*h for h.\n' | b'-1\n' | deepmind/math_dataset |
b'Suppose 234*s - 168 = 228*s. Suppose 13*j + 75 = s*j. Solve h - j = 2*h, -20 = -g + 4*h for g.\n' | b'0\n' | b'Suppose 234*s - 168 = 228*s. Suppose 13*j + 75 = s*j. Solve h - j = 2*h, -20 = -g + 4*h for g.\n' | b'0\n' | deepmind/math_dataset |
b'Let r(s) be the first derivative of 10*s**3/3 + 11*s**2/2 - 3. What is the second derivative of r(i) wrt i?\n' | b'20\n' | b'Let r(s) be the first derivative of 10*s**3/3 + 11*s**2/2 - 3. What is the second derivative of r(i) wrt i?\n' | b'20\n' | deepmind/math_dataset |
b'Let t(q) be the first derivative of 109*q**7/7 - 2*q**5/5 + 245*q**3/3 - 48. What is the third derivative of t(m) wrt m?\n' | b'13080*m**3 - 48*m\n' | b'Let t(q) be the first derivative of 109*q**7/7 - 2*q**5/5 + 245*q**3/3 - 48. What is the third derivative of t(m) wrt m?\n' | b'13080*m**3 - 48*m\n' | deepmind/math_dataset |
b'Two letters picked without replacement from omoooomo. Give prob of picking 2 o.\n' | b'15/28\n' | b'Two letters picked without replacement from omoooomo. Give prob of picking 2 o.\n' | b'15/28\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {g: 3, d: 1, v: 1, n: 2}. What is prob of sequence ndn?\n' | b'1/105\n' | b'Three letters picked without replacement from {g: 3, d: 1, v: 1, n: 2}. What is prob of sequence ndn?\n' | b'1/105\n' | deepmind/math_dataset |
b'Let m be 6 + -3 + 85 + 4/2. Differentiate -11*b**3 - 67 + 51 + 2*b**2 - m with respect to b.\n' | b'-33*b**2 + 4*b\n' | b'Let m be 6 + -3 + 85 + 4/2. Differentiate -11*b**3 - 67 + 51 + 2*b**2 - m with respect to b.\n' | b'-33*b**2 + 4*b\n' | deepmind/math_dataset |
b'Simplify ((g*g/g**(2/17)*g*g)/(g*(g**10/g)/g))**(-2/9)*(g**(-3/5)/g**(3/5))/(((g**(-3/7)/g*g)/g)/(g/((g**6*g)/g))) assuming g is positive.\n' | b'g**(-6487/1785)\n' | b'Simplify ((g*g/g**(2/17)*g*g)/(g*(g**10/g)/g))**(-2/9)*(g**(-3/5)/g**(3/5))/(((g**(-3/7)/g*g)/g)/(g/((g**6*g)/g))) assuming g is positive.\n' | b'g**(-6487/1785)\n' | deepmind/math_dataset |
b'Let q(p) be the third derivative of -19*p**8/24 - 13*p**4/3 + p**3/6 + 61*p**2 + 2. Find the second derivative of q(f) wrt f.\n' | b'-5320*f**3\n' | b'Let q(p) be the third derivative of -19*p**8/24 - 13*p**4/3 + p**3/6 + 61*p**2 + 2. Find the second derivative of q(f) wrt f.\n' | b'-5320*f**3\n' | deepmind/math_dataset |
b'Let m(g) = 15*g**2 + 9*g - 29. Let h(q) = -29*q**2 - 17*q + 73. Let i(b) = 2*h(b) + 5*m(b). Give i(-1).\n' | b'7\n' | b'Let m(g) = 15*g**2 + 9*g - 29. Let h(q) = -29*q**2 - 17*q + 73. Let i(b) = 2*h(b) + 5*m(b). Give i(-1).\n' | b'7\n' | deepmind/math_dataset |
b'Simplify ((v/((v*v**(-1/16)/v*v)/v))/(v/(v/v**5)))**(-8) assuming v is positive.\n' | b'v**(63/2)\n' | b'Simplify ((v/((v*v**(-1/16)/v*v)/v))/(v/(v/v**5)))**(-8) assuming v is positive.\n' | b'v**(63/2)\n' | deepmind/math_dataset |
b'Let l(t) = -56*t + 955. Let y be l(17). Solve y = -4*c + 3*m - 0, 0 = 5*c - 2*m - 5 for c.\n' | b'3\n' | b'Let l(t) = -56*t + 955. Let y be l(17). Solve y = -4*c + 3*m - 0, 0 = 5*c - 2*m - 5 for c.\n' | b'3\n' | deepmind/math_dataset |
b'Let v = -33 + 107. Let p(f) = -f**2 - 31*f - 30. Let d be p(-28). Let h = v - d. Solve 0 = -2*j + 2*z - 12, 0*j = 4*j - 3*z + h for j.\n' | b'-2\n' | b'Let v = -33 + 107. Let p(f) = -f**2 - 31*f - 30. Let d be p(-28). Let h = v - d. Solve 0 = -2*j + 2*z - 12, 0*j = 4*j - 3*z + h for j.\n' | b'-2\n' | deepmind/math_dataset |
b'Let f = 2 + 0. Let s(m) = -m**2 + 3*m + 5. Let q be s(4). Let o be -15*f*q/(-6). Solve -5*c = 10, 4*p = -2*c + o*c + 2 for p.\n' | b'-1\n' | b'Let f = 2 + 0. Let s(m) = -m**2 + 3*m + 5. Let q be s(4). Let o be -15*f*q/(-6). Solve -5*c = 10, 4*p = -2*c + o*c + 2 for p.\n' | b'-1\n' | deepmind/math_dataset |
b'Calculate prob of sequence mbma when four letters picked without replacement from zabmb.\n' | b'0\n' | b'Calculate prob of sequence mbma when four letters picked without replacement from zabmb.\n' | b'0\n' | deepmind/math_dataset |
b'Let d(a) = -a**3 - 6*a**2 + 5*a - 3. Let i be d(-6). Let h = 37 + i. Solve -5*t + 5*z - 5 = 0, h*t + 2*z = 3*t - 4 for t.\n' | b'-2\n' | b'Let d(a) = -a**3 - 6*a**2 + 5*a - 3. Let i be d(-6). Let h = 37 + i. Solve -5*t + 5*z - 5 = 0, h*t + 2*z = 3*t - 4 for t.\n' | b'-2\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 q, 1 j, and 1 r when three letters picked without replacement from qrbrqxbxjbxfjjb.\n' | b'12/455\n' | b'Calculate prob of picking 1 q, 1 j, and 1 r when three letters picked without replacement from qrbrqxbxjbxfjjb.\n' | b'12/455\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 v when three letters picked without replacement from {v: 3}.\n' | b'1\n' | b'Calculate prob of picking 3 v when three letters picked without replacement from {v: 3}.\n' | b'1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {y: 3, q: 2, o: 1, c: 7, a: 1}. What is prob of sequence yy?\n' | b'3/91\n' | b'Two letters picked without replacement from {y: 3, q: 2, o: 1, c: 7, a: 1}. What is prob of sequence yy?\n' | b'3/91\n' | deepmind/math_dataset |
b'Calculate prob of sequence nirb when four letters picked without replacement from inirrbirbi.\n' | b'1/210\n' | b'Calculate prob of sequence nirb when four letters picked without replacement from inirrbirbi.\n' | b'1/210\n' | deepmind/math_dataset |
b'Three letters picked without replacement from cxbbxbxx. Give prob of sequence xcb.\n' | b'1/28\n' | b'Three letters picked without replacement from cxbbxbxx. Give prob of sequence xcb.\n' | b'1/28\n' | deepmind/math_dataset |
b'Let k be (-18)/15*(-10)/3. Solve 0 = -w - k*r - 9, -r = -w - 0*r + 1 for w.\n' | b'-1\n' | b'Let k be (-18)/15*(-10)/3. Solve 0 = -w - k*r - 9, -r = -w - 0*r + 1 for w.\n' | b'-1\n' | deepmind/math_dataset |
b'Let f = -254 - -262. Let b = 13 - f. Solve 0 = 3*u - 0*u + b*m - 11, 4*u + 2*m + 4 = 0 for u.\n' | b'-3\n' | b'Let f = -254 - -262. Let b = 13 - f. Solve 0 = 3*u - 0*u + b*m - 11, 4*u + 2*m + 4 = 0 for u.\n' | b'-3\n' | deepmind/math_dataset |
b'Let k = -54 + 196. Let c = k + -137. Solve -4*l = -3*l + c*q + 12, -5*l - 5*q = 0 for l.\n' | b'3\n' | b'Let k = -54 + 196. Let c = k + -137. Solve -4*l = -3*l + c*q + 12, -5*l - 5*q = 0 for l.\n' | b'3\n' | deepmind/math_dataset |
b'Let x(u) = u**3 + 8*u**2 - 4*u - 20. Let j be (-4)/(9/36*-26 - -7). Calculate x(j).\n' | b'12\n' | b'Let x(u) = u**3 + 8*u**2 - 4*u - 20. Let j be (-4)/(9/36*-26 - -7). Calculate x(j).\n' | b'12\n' | deepmind/math_dataset |
b'Calculate prob of sequence rj when two letters picked without replacement from {d: 1, r: 2, c: 1, u: 1, v: 1, j: 1}.\n' | b'1/21\n' | b'Calculate prob of sequence rj when two letters picked without replacement from {d: 1, r: 2, c: 1, u: 1, v: 1, j: 1}.\n' | b'1/21\n' | deepmind/math_dataset |
b'Simplify (x*x**(1/11)*x**(2/7))**(8/9)*(x/(x*x**(5/2))*x*x**10)**(-7/2) assuming x is positive.\n' | b'x**(-79075/2772)\n' | b'Simplify (x*x**(1/11)*x**(2/7))**(8/9)*(x/(x*x**(5/2))*x*x**10)**(-7/2) assuming x is positive.\n' | b'x**(-79075/2772)\n' | deepmind/math_dataset |
b'Let l(b) = -2*b + 6. Let r be l(-1). Suppose -2*g - 8 = -6*g. Suppose 4*n = g*k + 12, 0 = n + n - 4*k. Solve 3*c = -f + 4, n*c - 2 - r = f for f.\n' | b'-2\n' | b'Let l(b) = -2*b + 6. Let r be l(-1). Suppose -2*g - 8 = -6*g. Suppose 4*n = g*k + 12, 0 = n + n - 4*k. Solve 3*c = -f + 4, n*c - 2 - r = f for f.\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose -q - 2*r = -9, 2*r - 145 = -3*q - 118. Suppose 4*u - 17 = -n, n - 17 = -5*u + 3. Solve j = 5*c - q - 16, 0 = -2*j - c + n for j.\n' | b'0\n' | b'Suppose -q - 2*r = -9, 2*r - 145 = -3*q - 118. Suppose 4*u - 17 = -n, n - 17 = -5*u + 3. Solve j = 5*c - q - 16, 0 = -2*j - c + n for j.\n' | b'0\n' | deepmind/math_dataset |
b'Let c(q) = -17*q - 87. Let s(y) = 19*y + 87. Let g(b) = 7*c(b) + 6*s(b). What is g(-14)?\n' | b'-17\n' | b'Let c(q) = -17*q - 87. Let s(y) = 19*y + 87. Let g(b) = 7*c(b) + 6*s(b). What is g(-14)?\n' | b'-17\n' | deepmind/math_dataset |
b'Let h(w) = w**2 + 8*w - 26. Let g be h(-10). Let t(v) = -v**2 - 10*v - 14. Give t(g).\n' | b'10\n' | b'Let h(w) = w**2 + 8*w - 26. Let g be h(-10). Let t(v) = -v**2 - 10*v - 14. Give t(g).\n' | b'10\n' | deepmind/math_dataset |
b'Suppose 0 = -0*d + d + 18. Let a be (d/(-4))/((-18)/24). Let l(j) = j**3 + 5*j**2 - 4*j + 7. Give l(a).\n' | b'-5\n' | b'Suppose 0 = -0*d + d + 18. Let a be (d/(-4))/((-18)/24). Let l(j) = j**3 + 5*j**2 - 4*j + 7. Give l(a).\n' | b'-5\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {t: 17, i: 1}. What is prob of sequence itt?\n' | b'1/18\n' | b'Three letters picked without replacement from {t: 17, i: 1}. What is prob of sequence itt?\n' | b'1/18\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {c: 1, w: 3, d: 6, t: 3}. What is prob of picking 1 t and 1 c?\n' | b'1/26\n' | b'Two letters picked without replacement from {c: 1, w: 3, d: 6, t: 3}. What is prob of picking 1 t and 1 c?\n' | b'1/26\n' | deepmind/math_dataset |
b'Let t(c) = 3*c**2 + 3*c + 4. Let s(a) = -a**2 - a - 1. Let o = -4 - -43. Suppose 11 = -4*y + o. Let w(d) = y*s(d) + 2*t(d). Determine w(1).\n' | b'-1\n' | b'Let t(c) = 3*c**2 + 3*c + 4. Let s(a) = -a**2 - a - 1. Let o = -4 - -43. Suppose 11 = -4*y + o. Let w(d) = y*s(d) + 2*t(d). Determine w(1).\n' | b'-1\n' | deepmind/math_dataset |
b'Let b(u) be the first derivative of 0*u + 1/6*u**6 + 0*u**4 - 3 - u**3 + 0*u**5 + 0*u**2. Find the third derivative of b(y) wrt y.\n' | b'60*y**2\n' | b'Let b(u) be the first derivative of 0*u + 1/6*u**6 + 0*u**4 - 3 - u**3 + 0*u**5 + 0*u**2. Find the third derivative of b(y) wrt y.\n' | b'60*y**2\n' | deepmind/math_dataset |
b'Let d(x) = x + 10. Let n be d(-7). Let l be 2 + (13 - 1) - n. Suppose -10 = -l*r + 9*r. Let c(i) = 2*i - 5. Determine c(r).\n' | b'5\n' | b'Let d(x) = x + 10. Let n be d(-7). Let l be 2 + (13 - 1) - n. Suppose -10 = -l*r + 9*r. Let c(i) = 2*i - 5. Determine c(r).\n' | b'5\n' | deepmind/math_dataset |
b'Let x(s) = -s**2 + 7*s - 5. Let c be x(5). Let f(t) = -6*t - 16. Let q(k) = -k - 3. Let l(n) = 4*f(n) - 22*q(n). Calculate l(c).\n' | b'-8\n' | b'Let x(s) = -s**2 + 7*s - 5. Let c be x(5). Let f(t) = -6*t - 16. Let q(k) = -k - 3. Let l(n) = 4*f(n) - 22*q(n). Calculate l(c).\n' | b'-8\n' | deepmind/math_dataset |
b'Let k(b) = -3*b - 70. Let c be k(-25). Solve 5*h + 6 = f - 18, -22 = -3*f + c*h for f.\n' | b'-1\n' | b'Let k(b) = -3*b - 70. Let c be k(-25). Solve 5*h + 6 = f - 18, -22 = -3*f + c*h for f.\n' | b'-1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from axmqmexe. Give prob of sequence aqmx.\n' | b'1/420\n' | b'Four letters picked without replacement from axmqmexe. Give prob of sequence aqmx.\n' | b'1/420\n' | deepmind/math_dataset |
b'Let v(w) = 4*w - 2. Let i(t) = -2*t + 1. Let z(k) = 7*i(k) + 4*v(k). Determine z(3).\n' | b'5\n' | b'Let v(w) = 4*w - 2. Let i(t) = -2*t + 1. Let z(k) = 7*i(k) + 4*v(k). Determine z(3).\n' | b'5\n' | deepmind/math_dataset |
b'Simplify ((q**1)**43*(q/(q*q**(-3/8)/q*q))/q**2)/((q/q**(-2/9)*q**3)/((((q/q**6)/q)/q)/q**(-3/7))) assuming q is positive.\n' | b'q**(15413/504)\n' | b'Simplify ((q**1)**43*(q/(q*q**(-3/8)/q*q))/q**2)/((q/q**(-2/9)*q**3)/((((q/q**6)/q)/q)/q**(-3/7))) assuming q is positive.\n' | b'q**(15413/504)\n' | deepmind/math_dataset |
b'Let a = 3 + -2. Let m = a - -1. Suppose m*j + 7 = 3*v - 3, -4*v - 4*j = -20. Solve -i + 3*i - v*u - 14 = 0, -15 = 3*i + 3*u for i.\n' | b'-1\n' | b'Let a = 3 + -2. Let m = a - -1. Suppose m*j + 7 = 3*v - 3, -4*v - 4*j = -20. Solve -i + 3*i - v*u - 14 = 0, -15 = 3*i + 3*u for i.\n' | b'-1\n' | deepmind/math_dataset |
b'Suppose 4*j = -4*q + 32, 4*q - 12 = -j + 2*q. Solve -5*i + 23 = j*r, 2*i + 2*r = -3*i + 19 for i.\n' | b'3\n' | b'Suppose 4*j = -4*q + 32, 4*q - 12 = -j + 2*q. Solve -5*i + 23 = j*r, 2*i + 2*r = -3*i + 19 for i.\n' | b'3\n' | deepmind/math_dataset |
b'What is the derivative of -7800 + 227*x**2 + 1206*x**2 + 1179*x**2 + 115*x**2 wrt x?\n' | b'5454*x\n' | b'What is the derivative of -7800 + 227*x**2 + 1206*x**2 + 1179*x**2 + 115*x**2 wrt x?\n' | b'5454*x\n' | deepmind/math_dataset |
b'What is prob of sequence qq when two letters picked without replacement from jqeeqenbjenbqeeeqq?\n' | b'10/153\n' | b'What is prob of sequence qq when two letters picked without replacement from jqeeqenbjenbqeeeqq?\n' | b'10/153\n' | deepmind/math_dataset |
b'Find the third derivative of 12*o**6 + 76*o**2 - 47*o**2 + 0*o**6 wrt o.\n' | b'1440*o**3\n' | b'Find the third derivative of 12*o**6 + 76*o**2 - 47*o**2 + 0*o**6 wrt o.\n' | b'1440*o**3\n' | deepmind/math_dataset |
b'Let f(k) be the second derivative of -k**4/12 + 3*k**3/2 + 15*k**2/2 - 2*k - 1. What is f(10)?\n' | b'5\n' | b'Let f(k) be the second derivative of -k**4/12 + 3*k**3/2 + 15*k**2/2 - 2*k - 1. What is f(10)?\n' | b'5\n' | deepmind/math_dataset |
b'Suppose -32 = 3*l - 2*s, -s + 18 = -4*l - 13. Let o be 0 - (-2 + 0/1). Let g(u) = 7 - 3*u**2 + 2*u**3 - 3*u**o - 3*u**3. Give g(l).\n' | b'7\n' | b'Suppose -32 = 3*l - 2*s, -s + 18 = -4*l - 13. Let o be 0 - (-2 + 0/1). Let g(u) = 7 - 3*u**2 + 2*u**3 - 3*u**o - 3*u**3. Give g(l).\n' | b'7\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {p: 2, m: 2, w: 2}. Give prob of sequence pm.\n' | b'2/15\n' | b'Two letters picked without replacement from {p: 2, m: 2, w: 2}. Give prob of sequence pm.\n' | b'2/15\n' | deepmind/math_dataset |
b'Let x(h) = 3*h**2 - 2*h - 1. Let q(f) = -f**3 - 10*f**2 - 11*f - 12. Let j be q(-9). Suppose -k + 4*a = -3, -4*k - j + 0 = 2*a. Calculate x(k).\n' | b'4\n' | b'Let x(h) = 3*h**2 - 2*h - 1. Let q(f) = -f**3 - 10*f**2 - 11*f - 12. Let j be q(-9). Suppose -k + 4*a = -3, -4*k - j + 0 = 2*a. Calculate x(k).\n' | b'4\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 h and 1 j when three letters picked without replacement from {v: 6, j: 4, h: 4}.\n' | b'6/91\n' | b'Calculate prob of picking 2 h and 1 j when three letters picked without replacement from {v: 6, j: 4, h: 4}.\n' | b'6/91\n' | deepmind/math_dataset |
b'Let o(j) = -4*j + 18. Let l(a) = -2*a + 9. Let t(k) = -13*l(k) + 6*o(k). Let b be t(10). What is the derivative of 3*h**2 - 13 - h**2 + b wrt h?\n' | b'4*h\n' | b'Let o(j) = -4*j + 18. Let l(a) = -2*a + 9. Let t(k) = -13*l(k) + 6*o(k). Let b be t(10). What is the derivative of 3*h**2 - 13 - h**2 + b wrt h?\n' | b'4*h\n' | deepmind/math_dataset |
b'Suppose -z - 4*x + 0*x + 1 = 0, -5*x + 11 = -2*z. Let i(l) = -l**3 - 5*l**2 - 4*l + 4. Give i(z).\n' | b'-2\n' | b'Suppose -z - 4*x + 0*x + 1 = 0, -5*x + 11 = -2*z. Let i(l) = -l**3 - 5*l**2 - 4*l + 4. Give i(z).\n' | b'-2\n' | deepmind/math_dataset |
b'Let a(t) = 2*t**2 - 2 - 36*t + 27*t + 19*t. Let h(z) = -z**2 - z. Let m(u) = -a(u) - 3*h(u). Calculate m(4).\n' | b'-10\n' | b'Let a(t) = 2*t**2 - 2 - 36*t + 27*t + 19*t. Let h(z) = -z**2 - z. Let m(u) = -a(u) - 3*h(u). Calculate m(4).\n' | b'-10\n' | deepmind/math_dataset |
b'Simplify y**0/(y/y**(4/9))*y**10*y*y/y**(-8) assuming y is positive.\n' | b'y**(175/9)\n' | b'Simplify y**0/(y/y**(4/9))*y**10*y*y/y**(-8) assuming y is positive.\n' | b'y**(175/9)\n' | deepmind/math_dataset |
b'Simplify (y**(-2/35)/((((y/y**(9/5)*y*y)/y)/y)/y))**(18/11)*(y/y**0*y)**32/(((y*y*y**(-2/15)*y)/y)/y**(-2/15)) assuming y is positive.\n' | b'y**(24968/385)\n' | b'Simplify (y**(-2/35)/((((y/y**(9/5)*y*y)/y)/y)/y))**(18/11)*(y/y**0*y)**32/(((y*y*y**(-2/15)*y)/y)/y**(-2/15)) assuming y is positive.\n' | b'y**(24968/385)\n' | deepmind/math_dataset |
b'Let w(l) = 574*l**2 + 482*l. Let z(c) = 192*c**2 + 161*c. Let q(s) = 6*w(s) - 17*z(s). What is the second derivative of q(u) wrt u?\n' | b'360\n' | b'Let w(l) = 574*l**2 + 482*l. Let z(c) = 192*c**2 + 161*c. Let q(s) = 6*w(s) - 17*z(s). What is the second derivative of q(u) wrt u?\n' | b'360\n' | deepmind/math_dataset |
b'Let n(l) = -3*l**3 + 52*l**2 + 99*l - 19. Let c be n(-2). Solve -4*d = u + 16, -2*u - c = 2*d - 1 for u.\n' | b'-4\n' | b'Let n(l) = -3*l**3 + 52*l**2 + 99*l - 19. Let c be n(-2). Solve -4*d = u + 16, -2*u - c = 2*d - 1 for u.\n' | b'-4\n' | deepmind/math_dataset |
b'Let k(t) = 2*t + 23 + 34 - 4*t - 52. Determine k(2).\n' | b'1\n' | b'Let k(t) = 2*t + 23 + 34 - 4*t - 52. Determine k(2).\n' | b'1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from lxlxallaxala. What is prob of sequence xxxl?\n' | b'1/396\n' | b'Four letters picked without replacement from lxlxallaxala. What is prob of sequence xxxl?\n' | b'1/396\n' | deepmind/math_dataset |
b'Simplify (p*(p/(((p**(8/5)/p)/p)/p))/p*p)**(10/9) assuming p is positive.\n' | b'p**(34/9)\n' | b'Simplify (p*(p/(((p**(8/5)/p)/p)/p))/p*p)**(10/9) assuming p is positive.\n' | b'p**(34/9)\n' | deepmind/math_dataset |
b'Simplify (h**(-9)/(h/(h*h**(-4))))/(h**(-1/6)*h*h*h**(-5)*h*h) assuming h is positive.\n' | b'h**(-71/6)\n' | b'Simplify (h**(-9)/(h/(h*h**(-4))))/(h**(-1/6)*h*h*h**(-5)*h*h) assuming h is positive.\n' | b'h**(-71/6)\n' | deepmind/math_dataset |
b'Simplify ((q**4/(q/q**(2/17)))/(q/(q/q**10)*q*q*q/q**9*q))**(1/7) assuming q is positive.\n' | b'q**(-32/119)\n' | b'Simplify ((q**4/(q/q**(2/17)))/(q/(q/q**10)*q*q*q/q**9*q))**(1/7) assuming q is positive.\n' | b'q**(-32/119)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {t: 1, c: 4, w: 2}. What is prob of sequence wtw?\n' | b'1/105\n' | b'Three letters picked without replacement from {t: 1, c: 4, w: 2}. What is prob of sequence wtw?\n' | b'1/105\n' | deepmind/math_dataset |
b'Let d(a) = a**2 + 70*a + 89. Let s be d(-69). Suppose 13 = 5*g + 2*l + 38, -2*g = l + 11. Let n = 1 - g. Solve -h - n = -4*o, 6*o - o = -5*h - s for h.\n' | b'-4\n' | b'Let d(a) = a**2 + 70*a + 89. Let s be d(-69). Suppose 13 = 5*g + 2*l + 38, -2*g = l + 11. Let n = 1 - g. Solve -h - n = -4*o, 6*o - o = -5*h - s for h.\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose 25 = 5*z - 0. Solve z*p + 4*i - 1 = 0, -9*p + 1 = -5*p + 3*i for p.\n' | b'1\n' | b'Suppose 25 = 5*z - 0. Solve z*p + 4*i - 1 = 0, -9*p + 1 = -5*p + 3*i for p.\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of picking 3 f when three letters picked without replacement from pzzfpzppfppofz?\n' | b'1/364\n' | b'What is prob of picking 3 f when three letters picked without replacement from pzzfpzppfppofz?\n' | b'1/364\n' | deepmind/math_dataset |
b'Suppose -5*z = 3*x + 16 - 68, -20 = -4*z. What is the derivative of -7 - x*f**2 - 5 - 2*f**2 - 6 wrt f?\n' | b'-22*f\n' | b'Suppose -5*z = 3*x + 16 - 68, -20 = -4*z. What is the derivative of -7 - x*f**2 - 5 - 2*f**2 - 6 wrt f?\n' | b'-22*f\n' | deepmind/math_dataset |
b'Suppose -10*m = -22 - 28. Suppose -12 = 4*a - 5*c - 0*c, m*a = 3*c - 2. Solve 6*i + 3*u + 6 = 5*i, -4 = 5*i + a*u for i.\n' | b'0\n' | b'Suppose -10*m = -22 - 28. Suppose -12 = 4*a - 5*c - 0*c, m*a = 3*c - 2. Solve 6*i + 3*u + 6 = 5*i, -4 = 5*i + a*u for i.\n' | b'0\n' | deepmind/math_dataset |
b'Let m(i) be the second derivative of 409*i**4/2 + 1581*i**3/2 - 7425*i. Find the second derivative of m(l) wrt l.\n' | b'4908\n' | b'Let m(i) be the second derivative of 409*i**4/2 + 1581*i**3/2 - 7425*i. Find the second derivative of m(l) wrt l.\n' | b'4908\n' | deepmind/math_dataset |
b'What is prob of picking 1 t and 1 w when two letters picked without replacement from wwtwwtww?\n' | b'3/7\n' | b'What is prob of picking 1 t and 1 w when two letters picked without replacement from wwtwwtww?\n' | b'3/7\n' | deepmind/math_dataset |
b'Simplify (((x/x**(13/4))/x)/x)/(x**(-5)/x)*((x**(-3)*x)/x)**(1/25) assuming x is positive.\n' | b'x**(163/100)\n' | b'Simplify (((x/x**(13/4))/x)/x)/(x**(-5)/x)*((x**(-3)*x)/x)**(1/25) assuming x is positive.\n' | b'x**(163/100)\n' | deepmind/math_dataset |
b'Calculate prob of sequence pxp when three letters picked without replacement from phhphhhhxxhp.\n' | b'1/110\n' | b'Calculate prob of sequence pxp when three letters picked without replacement from phhphhhhxxhp.\n' | b'1/110\n' | deepmind/math_dataset |
b'Let l(s) = -553*s**3 - 515*s**2 + 6*s. Let u(b) = -552*b**3 - 518*b**2 + 4*b. Let d(p) = 2*l(p) - 3*u(p). Find the third derivative of d(q) wrt q.\n' | b'3300\n' | b'Let l(s) = -553*s**3 - 515*s**2 + 6*s. Let u(b) = -552*b**3 - 518*b**2 + 4*b. Let d(p) = 2*l(p) - 3*u(p). Find the third derivative of d(q) wrt q.\n' | b'3300\n' | deepmind/math_dataset |
b'Let y be (0 + 1)/((-3)/(-15)). Let v = -9 + 14. Suppose 2*k + 3*k + 25 = -5*d, -d - v = 3*k. Solve 5*f - 2*r = -k*f - 3, -y*f = 5*r + 10 for f.\n' | b'-1\n' | b'Let y be (0 + 1)/((-3)/(-15)). Let v = -9 + 14. Suppose 2*k + 3*k + 25 = -5*d, -d - v = 3*k. Solve 5*f - 2*r = -k*f - 3, -y*f = 5*r + 10 for f.\n' | b'-1\n' | deepmind/math_dataset |
b'Let f(d) be the first derivative of d**7/21 + d**3/2 - d - 3. Let t(j) be the first derivative of f(j). Find the second derivative of t(s) wrt s.\n' | b'40*s**3\n' | b'Let f(d) be the first derivative of d**7/21 + d**3/2 - d - 3. Let t(j) be the first derivative of f(j). Find the second derivative of t(s) wrt s.\n' | b'40*s**3\n' | deepmind/math_dataset |
b'Simplify (c*c*(c**(-1/4)*c)/c)**(-1/41)*c**(4/9)*c*c*c*((c**8/c)/c*c)/c assuming c is positive.\n' | b'c**(13877/1476)\n' | b'Simplify (c*c*(c**(-1/4)*c)/c)**(-1/41)*c**(4/9)*c*c*c*((c**8/c)/c*c)/c assuming c is positive.\n' | b'c**(13877/1476)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {e: 3, i: 4, v: 1}. What is prob of picking 1 i and 1 e?\n' | b'3/7\n' | b'Two letters picked without replacement from {e: 3, i: 4, v: 1}. What is prob of picking 1 i and 1 e?\n' | b'3/7\n' | deepmind/math_dataset |
b'Simplify ((y/((y**(-2)/y)/y))**(-5/8))**(3/22) assuming y is positive.\n' | b'y**(-75/176)\n' | b'Simplify ((y/((y**(-2)/y)/y))**(-5/8))**(3/22) assuming y is positive.\n' | b'y**(-75/176)\n' | deepmind/math_dataset |
b'Suppose 3*a - 3*b = 0, -5*b + b + 9 = 5*a. Let c be (51 - 18) + a/1. Let n = c + -7. Solve 5 = -z, 6*g - 3*z = 3*g + n for g.\n' | b'4\n' | b'Suppose 3*a - 3*b = 0, -5*b + b + 9 = 5*a. Let c be (51 - 18) + a/1. Let n = c + -7. Solve 5 = -z, 6*g - 3*z = 3*g + n for g.\n' | b'4\n' | deepmind/math_dataset |
b'Let z(v) = -v**3 + 6*v**2. Let y be z(6). What is the derivative of y*c + 3*c - 2 - 2*c + 3*c wrt c?\n' | b'4\n' | b'Let z(v) = -v**3 + 6*v**2. Let y be z(6). What is the derivative of y*c + 3*c - 2 - 2*c + 3*c wrt c?\n' | b'4\n' | deepmind/math_dataset |
b'Let u(x) = -x**2 - 2*x - 4. Let y be (-3)/(-1)*(-2 - -1). Let s be u(y). Let n = s + 10. Solve -20 = 5*p + 2*d + 3*d, 2*d + 8 = n*p for p.\n' | b'0\n' | b'Let u(x) = -x**2 - 2*x - 4. Let y be (-3)/(-1)*(-2 - -1). Let s be u(y). Let n = s + 10. Solve -20 = 5*p + 2*d + 3*d, 2*d + 8 = n*p for p.\n' | b'0\n' | deepmind/math_dataset |
b'Let q(a) be the third derivative of -1987*a**7/70 - 674*a**3 - 3*a**2 - 195*a. Differentiate q(j) with respect to j.\n' | b'-23844*j**3\n' | b'Let q(a) be the third derivative of -1987*a**7/70 - 674*a**3 - 3*a**2 - 195*a. Differentiate q(j) with respect to j.\n' | b'-23844*j**3\n' | deepmind/math_dataset |
b'Simplify ((i**1/i)/i)**(5/12)*i**(2/11)*i*i**(-1/11)/i*(i**(2/5)/i**(7/2))**(7/4) assuming i is positive.\n' | b'i**(-7591/1320)\n' | b'Simplify ((i**1/i)/i)**(5/12)*i**(2/11)*i*i**(-1/11)/i*(i**(2/5)/i**(7/2))**(7/4) assuming i is positive.\n' | b'i**(-7591/1320)\n' | deepmind/math_dataset |
b'Calculate prob of sequence mfp when three letters picked without replacement from pppfpffpfpppmfppf.\n' | b'1/68\n' | b'Calculate prob of sequence mfp when three letters picked without replacement from pppfpffpfpppmfppf.\n' | b'1/68\n' | deepmind/math_dataset |
b'Suppose 0 = 4*t - 3*z - 22, -t + z = -0*t - 6. Let k be 6/(-8) - 12/(-16). Solve k = q, -t*q = 2*c + c - 12 for c.\n' | b'4\n' | b'Suppose 0 = 4*t - 3*z - 22, -t + z = -0*t - 6. Let k be 6/(-8) - 12/(-16). Solve k = q, -t*q = 2*c + c - 12 for c.\n' | b'4\n' | deepmind/math_dataset |
b'Let g(x) = -12*x + 5. Suppose -16*l = 52 - 116. Determine g(l).\n' | b'-43\n' | b'Let g(x) = -12*x + 5. Suppose -16*l = 52 - 116. Determine g(l).\n' | b'-43\n' | deepmind/math_dataset |
b'What is prob of picking 1 a, 1 i, and 1 s when three letters picked without replacement from {a: 6, k: 1, r: 5, s: 2, i: 1}?\n' | b'12/455\n' | b'What is prob of picking 1 a, 1 i, and 1 s when three letters picked without replacement from {a: 6, k: 1, r: 5, s: 2, i: 1}?\n' | b'12/455\n' | deepmind/math_dataset |
b'Let r(c) = c**2 - c + 2. Let y = 88 - 86. Let j(o) = o**2 - 4*o + 7. Let u be j(y). What is r(u)?\n' | b'8\n' | b'Let r(c) = c**2 - c + 2. Let y = 88 - 86. Let j(o) = o**2 - 4*o + 7. Let u be j(y). What is r(u)?\n' | b'8\n' | deepmind/math_dataset |
b'Let d(t) = t - 1. Let o(f) = 6*f. Let a be (-6 + 9 + -8)*1. Let p be (0 - -2)/(1 + 1). Let z(g) = a*d(g) + p*o(g). Calculate z(-4).\n' | b'1\n' | b'Let d(t) = t - 1. Let o(f) = 6*f. Let a be (-6 + 9 + -8)*1. Let p be (0 - -2)/(1 + 1). Let z(g) = a*d(g) + p*o(g). Calculate z(-4).\n' | b'1\n' | deepmind/math_dataset |
b'Let b(z) be the first derivative of 6*z + 5/2*z**2 + 8 + 1/3*z**3. What is b(-5)?\n' | b'6\n' | b'Let b(z) be the first derivative of 6*z + 5/2*z**2 + 8 + 1/3*z**3. What is b(-5)?\n' | b'6\n' | deepmind/math_dataset |
b'What is prob of sequence ss when two letters picked without replacement from cccsccwcccccsc?\n' | b'1/91\n' | b'What is prob of sequence ss when two letters picked without replacement from cccsccwcccccsc?\n' | b'1/91\n' | deepmind/math_dataset |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.