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'What is prob of sequence oor when three letters picked without replacement from {o: 4, r: 4, k: 2}?\n' | b'1/15\n' | b'What is prob of sequence oor when three letters picked without replacement from {o: 4, r: 4, k: 2}?\n' | b'1/15\n' | deepmind/math_dataset |
b'Suppose -12 = -2*w + 42. Let i = 31 - w. Suppose 2*a + i = -2*a, -2*h + a + 7 = 0. Solve -5*f - 7*p + 41 = -h*p, 4*p - 1 = 3*f for f.\n' | b'5\n' | b'Suppose -12 = -2*w + 42. Let i = 31 - w. Suppose 2*a + i = -2*a, -2*h + a + 7 = 0. Solve -5*f - 7*p + 41 = -h*p, 4*p - 1 = 3*f for f.\n' | b'5\n' | deepmind/math_dataset |
b'Let n(s) be the first derivative of 85/4*s**4 - 10 + 0*s**3 + 0*s + 67/2*s**2. What is the second derivative of n(l) wrt l?\n' | b'510*l\n' | b'Let n(s) be the first derivative of 85/4*s**4 - 10 + 0*s**3 + 0*s + 67/2*s**2. What is the second derivative of n(l) wrt l?\n' | b'510*l\n' | deepmind/math_dataset |
b'Simplify (h**(-8))**(-13) assuming h is positive.\n' | b'h**104\n' | b'Simplify (h**(-8))**(-13) assuming h is positive.\n' | b'h**104\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 b when two letters picked without replacement from prmpptrpbprp.\n' | b'0\n' | b'Calculate prob of picking 2 b when two letters picked without replacement from prmpptrpbprp.\n' | b'0\n' | deepmind/math_dataset |
b'Calculate prob of sequence iki when three letters picked without replacement from ppkiahiaauhpi.\n' | b'1/286\n' | b'Calculate prob of sequence iki when three letters picked without replacement from ppkiahiaauhpi.\n' | b'1/286\n' | deepmind/math_dataset |
b'Calculate prob of sequence fbf when three letters picked without replacement from {b: 4, v: 6, f: 9}.\n' | b'16/323\n' | b'Calculate prob of sequence fbf when three letters picked without replacement from {b: 4, v: 6, f: 9}.\n' | b'16/323\n' | deepmind/math_dataset |
b'Suppose -5*v = 3*z - 24, 3*z + 4*v - 21 = -0*z. Suppose -y = -2*y + z*k + 21, 10 = -2*k. Let i(a) = -a**2 + 7*a + 2. Determine i(y).\n' | b'8\n' | b'Suppose -5*v = 3*z - 24, 3*z + 4*v - 21 = -0*z. Suppose -y = -2*y + z*k + 21, 10 = -2*k. Let i(a) = -a**2 + 7*a + 2. Determine i(y).\n' | b'8\n' | deepmind/math_dataset |
b'Let z(d) = -4*d**2 + d - 23 + 2*d - 3*d**2 + 8*d**2. Suppose 2*n - 3 = 5. Let k be z(n). Solve m + k*q + 22 = 0, 5*m + q + 3*q + 26 = 0 for m.\n' | b'-2\n' | b'Let z(d) = -4*d**2 + d - 23 + 2*d - 3*d**2 + 8*d**2. Suppose 2*n - 3 = 5. Let k be z(n). Solve m + k*q + 22 = 0, 5*m + q + 3*q + 26 = 0 for m.\n' | b'-2\n' | deepmind/math_dataset |
b'Let o(n) = n**3 + 5*n**2 - 6*n + 1. Let k(t) = t**3 + 13*t**2 - 14*t - 6. Let l be k(-14). Determine o(l).\n' | b'1\n' | b'Let o(n) = n**3 + 5*n**2 - 6*n + 1. Let k(t) = t**3 + 13*t**2 - 14*t - 6. Let l be k(-14). Determine o(l).\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of sequence vo when two letters picked without replacement from {o: 13, v: 2, s: 5}.\n' | b'13/190\n' | b'Calculate prob of sequence vo when two letters picked without replacement from {o: 13, v: 2, s: 5}.\n' | b'13/190\n' | deepmind/math_dataset |
b'Calculate prob of sequence yyyj when four letters picked without replacement from {j: 4, y: 4, b: 12}.\n' | b'4/4845\n' | b'Calculate prob of sequence yyyj when four letters picked without replacement from {j: 4, y: 4, b: 12}.\n' | b'4/4845\n' | deepmind/math_dataset |
b'Simplify ((o**(-1)*o)/o)**(-50)/(o/o**(5/6)*o**8) assuming o is positive.\n' | b'o**(251/6)\n' | b'Simplify ((o**(-1)*o)/o)**(-50)/(o/o**(5/6)*o**8) assuming o is positive.\n' | b'o**(251/6)\n' | deepmind/math_dataset |
b'Find the third derivative of -13 + 970*m**3 - 94*m - 6*m**4 + 20*m**4 + m**2 - 12*m**4 + 20 + 2*m**6 wrt m.\n' | b'240*m**3 + 48*m + 5820\n' | b'Find the third derivative of -13 + 970*m**3 - 94*m - 6*m**4 + 20*m**4 + m**2 - 12*m**4 + 20 + 2*m**6 wrt m.\n' | b'240*m**3 + 48*m + 5820\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 j, 1 n, 1 f, and 1 b when four letters picked without replacement from {n: 1, f: 1, b: 1, e: 2, j: 1, o: 2}.\n' | b'1/70\n' | b'Calculate prob of picking 1 j, 1 n, 1 f, and 1 b when four letters picked without replacement from {n: 1, f: 1, b: 1, e: 2, j: 1, o: 2}.\n' | b'1/70\n' | deepmind/math_dataset |
b'Let m(q) = 2*q**5 + 17*q**3 + 5*q**2 + 787*q - 5. Let k(y) = -y**5 - y**3 + y**2 - 1. Let h(z) = 5*k(z) - m(z). Find the second derivative of h(c) wrt c.\n' | b'-140*c**3 - 132*c\n' | b'Let m(q) = 2*q**5 + 17*q**3 + 5*q**2 + 787*q - 5. Let k(y) = -y**5 - y**3 + y**2 - 1. Let h(z) = 5*k(z) - m(z). Find the second derivative of h(c) wrt c.\n' | b'-140*c**3 - 132*c\n' | deepmind/math_dataset |
b'Let g(w) = -w. Let h be g(-2). Let z(q) = -h*q - 1 + q + 2. Let u be ((3 - 4) + 2)*4. Give z(u).\n' | b'-3\n' | b'Let g(w) = -w. Let h be g(-2). Let z(q) = -h*q - 1 + q + 2. Let u be ((3 - 4) + 2)*4. Give z(u).\n' | b'-3\n' | deepmind/math_dataset |
b'Let p(a) = 193*a - 89*a + 13 + 4*a**2 + 7*a**2 - 89*a - 8*a**2. Determine p(-3).\n' | b'-5\n' | b'Let p(a) = 193*a - 89*a + 13 + 4*a**2 + 7*a**2 - 89*a - 8*a**2. Determine p(-3).\n' | b'-5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {w: 3, k: 1, u: 4, v: 1, m: 7, l: 4}. What is prob of sequence vw?\n' | b'3/380\n' | b'Two letters picked without replacement from {w: 3, k: 1, u: 4, v: 1, m: 7, l: 4}. What is prob of sequence vw?\n' | b'3/380\n' | deepmind/math_dataset |
b'Simplify ((j**(3/2))**(-2/37)/((j/(j*(j*j/j**1)/j))/(j/((j**(1/5)/j)/j))))**12 assuming j is positive.\n' | b'j**(6036/185)\n' | b'Simplify ((j**(3/2))**(-2/37)/((j/(j*(j*j/j**1)/j))/(j/((j**(1/5)/j)/j))))**12 assuming j is positive.\n' | b'j**(6036/185)\n' | deepmind/math_dataset |
b'Differentiate -34*h**2 + 7*h**3 + 34*h**2 - 10 wrt h.\n' | b'21*h**2\n' | b'Differentiate -34*h**2 + 7*h**3 + 34*h**2 - 10 wrt h.\n' | b'21*h**2\n' | deepmind/math_dataset |
b'Simplify (t**(-3/4)*t/(t**(-15)*t))**(-32) assuming t is positive.\n' | b't**(-456)\n' | b'Simplify (t**(-3/4)*t/(t**(-15)*t))**(-32) assuming t is positive.\n' | b't**(-456)\n' | deepmind/math_dataset |
b'What is prob of sequence yyr when three letters picked without replacement from rrryyr?\n' | b'1/15\n' | b'What is prob of sequence yyr when three letters picked without replacement from rrryyr?\n' | b'1/15\n' | deepmind/math_dataset |
b'Calculate prob of picking 4 a when four letters picked without replacement from {e: 3, a: 15}.\n' | b'91/204\n' | b'Calculate prob of picking 4 a when four letters picked without replacement from {e: 3, a: 15}.\n' | b'91/204\n' | deepmind/math_dataset |
b'Suppose 58 = 4*f - 2*k, -5*f - 279*k + 80 = -274*k. Solve q + f = -5*c - 3*q, -2*q + 24 = -2*c for c.\n' | b'-7\n' | b'Suppose 58 = 4*f - 2*k, -5*f - 279*k + 80 = -274*k. Solve q + f = -5*c - 3*q, -2*q + 24 = -2*c for c.\n' | b'-7\n' | deepmind/math_dataset |
b'Simplify ((k/k**(-3)*k*k)**(10/7))**(1/27)/((k*k**(2/5))/k*k**(-1/4))**24 assuming k is positive.\n' | b'k**(-1034/315)\n' | b'Simplify ((k/k**(-3)*k*k)**(10/7))**(1/27)/((k*k**(2/5))/k*k**(-1/4))**24 assuming k is positive.\n' | b'k**(-1034/315)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {p: 4, q: 8, u: 5}. Give prob of picking 2 p and 2 q.\n' | b'6/85\n' | b'Four letters picked without replacement from {p: 4, q: 8, u: 5}. Give prob of picking 2 p and 2 q.\n' | b'6/85\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 r, 2 h, and 1 k when four letters picked without replacement from ruukhrkzhrupurh.\n' | b'8/455\n' | b'Calculate prob of picking 1 r, 2 h, and 1 k when four letters picked without replacement from ruukhrkzhrupurh.\n' | b'8/455\n' | deepmind/math_dataset |
b'Simplify ((g/((g**2*g)/g)*g**(-1/7))**(-3/31))**(-4) assuming g is positive.\n' | b'g**(-96/217)\n' | b'Simplify ((g/((g**2*g)/g)*g**(-1/7))**(-3/31))**(-4) assuming g is positive.\n' | b'g**(-96/217)\n' | deepmind/math_dataset |
b'Let v(k) be the second derivative of 0*k**4 + 0 + 1/10*k**5 + 1/6*k**3 + k - 1/2*k**2. Let n be v(1). Solve 3*h + n*l = -19, l = -h - h - 12 for h.\n' | b'-5\n' | b'Let v(k) be the second derivative of 0*k**4 + 0 + 1/10*k**5 + 1/6*k**3 + k - 1/2*k**2. Let n be v(1). Solve 3*h + n*l = -19, l = -h - h - 12 for h.\n' | b'-5\n' | deepmind/math_dataset |
b'Let o be (-6)/(-9) - 32/(-6). Let m be 0 + 2/3*o. Solve 3*c = 2*y - 4, -m*c + 8 + 5 = y for y.\n' | b'5\n' | b'Let o be (-6)/(-9) - 32/(-6). Let m be 0 + 2/3*o. Solve 3*c = 2*y - 4, -m*c + 8 + 5 = y for y.\n' | b'5\n' | deepmind/math_dataset |
b'Let n(y) = 0*y**2 + 44*y - 47*y - y**2 + 2*y. Calculate n(-1).\n' | b'0\n' | b'Let n(y) = 0*y**2 + 44*y - 47*y - y**2 + 2*y. Calculate n(-1).\n' | b'0\n' | deepmind/math_dataset |
b'Let b = -1638 + 1642. Solve b*g = -3*h - 2, -g + 4*h + 1 = -8 for g.\n' | b'1\n' | b'Let b = -1638 + 1642. Solve b*g = -3*h - 2, -g + 4*h + 1 = -8 for g.\n' | b'1\n' | deepmind/math_dataset |
b'Let u be 38/(-14) - (-4)/(-14). Let m(s) = s**3 + 4*s**2 + 3*s + 2. Give m(u).\n' | b'2\n' | b'Let u be 38/(-14) - (-4)/(-14). Let m(s) = s**3 + 4*s**2 + 3*s + 2. Give m(u).\n' | b'2\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 y and 1 m when two letters picked without replacement from {m: 3, u: 12, y: 2}.\n' | b'3/68\n' | b'Calculate prob of picking 1 y and 1 m when two letters picked without replacement from {m: 3, u: 12, y: 2}.\n' | b'3/68\n' | deepmind/math_dataset |
b'What is prob of picking 1 t and 1 q when two letters picked without replacement from touudoovoouqo?\n' | b'1/78\n' | b'What is prob of picking 1 t and 1 q when two letters picked without replacement from touudoovoouqo?\n' | b'1/78\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {c: 5, v: 11}. Give prob of picking 4 v.\n' | b'33/182\n' | b'Four letters picked without replacement from {c: 5, v: 11}. Give prob of picking 4 v.\n' | b'33/182\n' | deepmind/math_dataset |
b'Let d(x) = x**2 - x + 3. Let j = 0 - -5. Suppose j - 2 = h + 2*g, 0 = h - 4*g - 3. What is d(h)?\n' | b'9\n' | b'Let d(x) = x**2 - x + 3. Let j = 0 - -5. Suppose j - 2 = h + 2*g, 0 = h - 4*g - 3. What is d(h)?\n' | b'9\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 d and 1 j when two letters picked without replacement from {d: 2, w: 1, j: 9, e: 4}.\n' | b'3/20\n' | b'Calculate prob of picking 1 d and 1 j when two letters picked without replacement from {d: 2, w: 1, j: 9, e: 4}.\n' | b'3/20\n' | deepmind/math_dataset |
b'Suppose y = 4*f + 269, -2*f + 0*y = -5*y + 139. Let r = -64 - f. Let q(k) = -3 + 8*k**2 + r*k**3 - 2*k**3 + 12*k + 0*k**3 - 6*k. Give q(-7).\n' | b'4\n' | b'Suppose y = 4*f + 269, -2*f + 0*y = -5*y + 139. Let r = -64 - f. Let q(k) = -3 + 8*k**2 + r*k**3 - 2*k**3 + 12*k + 0*k**3 - 6*k. Give q(-7).\n' | b'4\n' | deepmind/math_dataset |
b'Calculate prob of sequence xvx when three letters picked without replacement from xhyxyyyhhhvxyyxx.\n' | b'1/168\n' | b'Calculate prob of sequence xvx when three letters picked without replacement from xhyxyyyhhhvxyyxx.\n' | b'1/168\n' | deepmind/math_dataset |
b'Suppose -1 = 2*y - 7. Let z(i) = i**3 - 4*i**2 + 2*i. What is z(y)?\n' | b'-3\n' | b'Suppose -1 = 2*y - 7. Let z(i) = i**3 - 4*i**2 + 2*i. What is z(y)?\n' | b'-3\n' | deepmind/math_dataset |
b'Let j be (-24)/10 - 8/(-20). Let y = 5 + j. Let o(l) = -l. Let p(n) = n**2 - 2*n - 2. Let x(r) = 2*o(r) - p(r). Give x(y).\n' | b'-7\n' | b'Let j be (-24)/10 - 8/(-20). Let y = 5 + j. Let o(l) = -l. Let p(n) = n**2 - 2*n - 2. Let x(r) = 2*o(r) - p(r). Give x(y).\n' | b'-7\n' | deepmind/math_dataset |
b'Let l(n) = 6*n**2 - 8*n + 6. Let q(v) = -2*v**2 + 3*v - 2. Let b(r) = -5*l(r) - 14*q(r). Calculate b(-2).\n' | b'-6\n' | b'Let l(n) = 6*n**2 - 8*n + 6. Let q(v) = -2*v**2 + 3*v - 2. Let b(r) = -5*l(r) - 14*q(r). Calculate b(-2).\n' | b'-6\n' | deepmind/math_dataset |
b'Simplify (b**(3/4))**(-7/5)/(b**(-5)*b/b**(-3/4)) assuming b is positive.\n' | b'b**(11/5)\n' | b'Simplify (b**(3/4))**(-7/5)/(b**(-5)*b/b**(-3/4)) assuming b is positive.\n' | b'b**(11/5)\n' | deepmind/math_dataset |
b'Let j(k) = -k**2 - 6*k + 1. Let c(b) = b**3 + 6*b**2 + 3*b + 4. Let x be c(-6). Let v = x + 23. Suppose v*h - 10 = 4*h, -2*m - 2*h - 6 = 0. What is j(m)?\n' | b'6\n' | b'Let j(k) = -k**2 - 6*k + 1. Let c(b) = b**3 + 6*b**2 + 3*b + 4. Let x be c(-6). Let v = x + 23. Suppose v*h - 10 = 4*h, -2*m - 2*h - 6 = 0. What is j(m)?\n' | b'6\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 h when two letters picked without replacement from hhhwww.\n' | b'1/5\n' | b'Calculate prob of picking 2 h when two letters picked without replacement from hhhwww.\n' | b'1/5\n' | deepmind/math_dataset |
b'Let x(t) be the second derivative of -7*t**3/6 + 3*t**2 - 7*t. What is the derivative of x(d) wrt d?\n' | b'-7\n' | b'Let x(t) be the second derivative of -7*t**3/6 + 3*t**2 - 7*t. What is the derivative of x(d) wrt d?\n' | b'-7\n' | deepmind/math_dataset |
b'Let s be (361/3)/(7/21). Let a(i) = 0*i + i - 2*i + s - 363. Calculate a(-8).\n' | b'6\n' | b'Let s be (361/3)/(7/21). Let a(i) = 0*i + i - 2*i + s - 363. Calculate a(-8).\n' | b'6\n' | deepmind/math_dataset |
b'What is prob of sequence kem when three letters picked without replacement from nndmknmndndnmed?\n' | b'1/910\n' | b'What is prob of sequence kem when three letters picked without replacement from nndmknmndndnmed?\n' | b'1/910\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 v and 1 z when two letters picked without replacement from {z: 1, h: 1, v: 1}.\n' | b'1/3\n' | b'Calculate prob of picking 1 v and 1 z when two letters picked without replacement from {z: 1, h: 1, v: 1}.\n' | b'1/3\n' | deepmind/math_dataset |
b'Suppose -21*r + 45 = 3. Solve -5*v + v - 2*y = 22, 0 = -2*v - r*y - 14 for v.\n' | b'-4\n' | b'Suppose -21*r + 45 = 3. Solve -5*v + v - 2*y = 22, 0 = -2*v - r*y - 14 for v.\n' | b'-4\n' | deepmind/math_dataset |
b'Four letters picked without replacement from pexxpxxppxxxp. What is prob of sequence pppe?\n' | b'1/286\n' | b'Four letters picked without replacement from pexxpxxppxxxp. What is prob of sequence pppe?\n' | b'1/286\n' | deepmind/math_dataset |
b'What is prob of sequence kyh when three letters picked without replacement from jsyhk?\n' | b'1/60\n' | b'What is prob of sequence kyh when three letters picked without replacement from jsyhk?\n' | b'1/60\n' | deepmind/math_dataset |
b'Let u be 4 + -2 + (12 - 2). Find the second derivative of 3*q**4 - u - 5*q + 8 + 4 wrt q.\n' | b'36*q**2\n' | b'Let u be 4 + -2 + (12 - 2). Find the second derivative of 3*q**4 - u - 5*q + 8 + 4 wrt q.\n' | b'36*q**2\n' | deepmind/math_dataset |
b'What is prob of picking 2 j and 2 i when four letters picked without replacement from jjijxxjxij?\n' | b'1/21\n' | b'What is prob of picking 2 j and 2 i when four letters picked without replacement from jjijxxjxij?\n' | b'1/21\n' | deepmind/math_dataset |
b'Let z(l) = -l**3 + 9*l**2 - 15*l + 9. Let c be z(7). Let r(x) = -x**3 + 4*x - 3. Calculate r(c).\n' | b'-3\n' | b'Let z(l) = -l**3 + 9*l**2 - 15*l + 9. Let c be z(7). Let r(x) = -x**3 + 4*x - 3. Calculate r(c).\n' | b'-3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from eexxblbdelde. Give prob of sequence ex.\n' | b'2/33\n' | b'Two letters picked without replacement from eexxblbdelde. Give prob of sequence ex.\n' | b'2/33\n' | deepmind/math_dataset |
b'Suppose 0*j - 1 = -j. Let v = 1 + j. What is the third derivative of -3*r**3 - r**3 + 0*r**v + 0*r**3 - 2*r**2 wrt r?\n' | b'-24\n' | b'Suppose 0*j - 1 = -j. Let v = 1 + j. What is the third derivative of -3*r**3 - r**3 + 0*r**v + 0*r**3 - 2*r**2 wrt r?\n' | b'-24\n' | deepmind/math_dataset |
b'Simplify (x**(1/3)/(x*x*x*(x/(x/(x*x**(-2/13)))*x)/x*x))/(x**(-1/2)/x*x*x*x*x*((x/x**(-10))/x)/x) assuming x is positive.\n' | b'x**(-1249/78)\n' | b'Simplify (x**(1/3)/(x*x*x*(x/(x/(x*x**(-2/13)))*x)/x*x))/(x**(-1/2)/x*x*x*x*x*((x/x**(-10))/x)/x) assuming x is positive.\n' | b'x**(-1249/78)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from hhrrrrhhrrrhh. What is prob of sequence rhrh?\n' | b'21/286\n' | b'Four letters picked without replacement from hhrrrrhhrrrhh. What is prob of sequence rhrh?\n' | b'21/286\n' | deepmind/math_dataset |
b'Let g(v) = 1336*v**2 - 4*v - 815. Let o(r) = 6679*r**2 - 22*r - 4071. Let i(z) = 11*g(z) - 2*o(z). Differentiate i(f) wrt f.\n' | b'2676*f\n' | b'Let g(v) = 1336*v**2 - 4*v - 815. Let o(r) = 6679*r**2 - 22*r - 4071. Let i(z) = 11*g(z) - 2*o(z). Differentiate i(f) wrt f.\n' | b'2676*f\n' | deepmind/math_dataset |
b'Simplify ((((v/v**0*v)/v)/v)**(2/25))**31*(v**1/(v*((v*(v**0/v)/v)/v)/v))/(v**(3/7)/v**0) assuming v is positive.\n' | b'v**(18/7)\n' | b'Simplify ((((v/v**0*v)/v)/v)**(2/25))**31*(v**1/(v*((v*(v**0/v)/v)/v)/v))/(v**(3/7)/v**0) assuming v is positive.\n' | b'v**(18/7)\n' | deepmind/math_dataset |
b'Let z(l) be the second derivative of -18*l + 7/6*l**3 + 0*l**2 + 0. Determine z(1).\n' | b'7\n' | b'Let z(l) be the second derivative of -18*l + 7/6*l**3 + 0*l**2 + 0. Determine z(1).\n' | b'7\n' | deepmind/math_dataset |
b'Two letters picked without replacement from vpahdao. What is prob of picking 1 v and 1 o?\n' | b'1/21\n' | b'Two letters picked without replacement from vpahdao. What is prob of picking 1 v and 1 o?\n' | b'1/21\n' | deepmind/math_dataset |
b'Let x(v) = 2*v**3 + 2*v**2 - v. Let f be x(1). Suppose -3*d + 9 = 0, 3*j - 14*d = -12*d + 6. What is the second derivative of -z + j*z + 8*z + 33*z**f wrt z?\n' | b'198*z\n' | b'Let x(v) = 2*v**3 + 2*v**2 - v. Let f be x(1). Suppose -3*d + 9 = 0, 3*j - 14*d = -12*d + 6. What is the second derivative of -z + j*z + 8*z + 33*z**f wrt z?\n' | b'198*z\n' | deepmind/math_dataset |
b'Let v = 0 - -10. Suppose a - 44 = 5*r, -r + 4*r = -a + 4. Let s = -13 + a. Solve -2*m - v = 2*g, s*g = -2*m + 2*g - 16 for m.\n' | b'-2\n' | b'Let v = 0 - -10. Suppose a - 44 = 5*r, -r + 4*r = -a + 4. Let s = -13 + a. Solve -2*m - v = 2*g, s*g = -2*m + 2*g - 16 for m.\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose -6 = -3*k + k. Solve -2*c + 2 = k*u - 0, 3*u = -c - 2 for c.\n' | b'4\n' | b'Suppose -6 = -3*k + k. Solve -2*c + 2 = k*u - 0, 3*u = -c - 2 for c.\n' | b'4\n' | deepmind/math_dataset |
b'What is prob of picking 1 w and 1 c when two letters picked without replacement from {c: 3, u: 13, w: 3}?\n' | b'1/19\n' | b'What is prob of picking 1 w and 1 c when two letters picked without replacement from {c: 3, u: 13, w: 3}?\n' | b'1/19\n' | deepmind/math_dataset |
b'Let p(i) = i - 8. Suppose -4*a = 2*g + 32, -4*g + 27 - 11 = 0. Let s = a - -29. Suppose 6*u - s = 11. Calculate p(u).\n' | b'-3\n' | b'Let p(i) = i - 8. Suppose -4*a = 2*g + 32, -4*g + 27 - 11 = 0. Let s = a - -29. Suppose 6*u - s = 11. Calculate p(u).\n' | b'-3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {r: 3, x: 5, c: 2, z: 2}. Give prob of picking 1 x and 1 r.\n' | b'5/22\n' | b'Two letters picked without replacement from {r: 3, x: 5, c: 2, z: 2}. Give prob of picking 1 x and 1 r.\n' | b'5/22\n' | deepmind/math_dataset |
b'Let c(y) be the second derivative of -y - 1/30*y**6 + 0*y**5 + 0*y**4 + 1/2*y**3 + 0*y**2 + 0. Find the second derivative of c(j) wrt j.\n' | b'-12*j**2\n' | b'Let c(y) be the second derivative of -y - 1/30*y**6 + 0*y**5 + 0*y**4 + 1/2*y**3 + 0*y**2 + 0. Find the second derivative of c(j) wrt j.\n' | b'-12*j**2\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 g when three letters picked without replacement from oogggggggggg.\n' | b'6/11\n' | b'Calculate prob of picking 3 g when three letters picked without replacement from oogggggggggg.\n' | b'6/11\n' | deepmind/math_dataset |
b'Suppose 0 = -2*s + d + 23, 0*s + 4*d - 7 = -3*s. Suppose -i = -11 + s. Let w be (-4)/(-6)*6 + (0 - i). Solve -w*m + 18 = -4*h, m + 19 = -6*h + h for h.\n' | b'-4\n' | b'Suppose 0 = -2*s + d + 23, 0*s + 4*d - 7 = -3*s. Suppose -i = -11 + s. Let w be (-4)/(-6)*6 + (0 - i). Solve -w*m + 18 = -4*h, m + 19 = -6*h + h for h.\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose -3*i - 20 = -8*i. Let w be (((-14)/2)/(-7))/(1/22). Solve -2*g - i*j - w = -g, 3*g + 16 = -2*j for g.\n' | b'-2\n' | b'Suppose -3*i - 20 = -8*i. Let w be (((-14)/2)/(-7))/(1/22). Solve -2*g - i*j - w = -g, 3*g + 16 = -2*j for g.\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose 5*l - 23 = -3*r + 3, -r + 2 = 0. Let i(g) = 3*g**3 - 6*g - l*g**2 - 5*g**3 - 2 + 2*g. Suppose 10 = -2*c - 3*c. Give i(c).\n' | b'6\n' | b'Suppose 5*l - 23 = -3*r + 3, -r + 2 = 0. Let i(g) = 3*g**3 - 6*g - l*g**2 - 5*g**3 - 2 + 2*g. Suppose 10 = -2*c - 3*c. Give i(c).\n' | b'6\n' | deepmind/math_dataset |
b'Suppose -504 = -2377*z + 2251*z. Solve -2*u + 2*a = 4, a - 13 = -z*u - 2*a for u.\n' | b'1\n' | b'Suppose -504 = -2377*z + 2251*z. Solve -2*u + 2*a = 4, a - 13 = -z*u - 2*a for u.\n' | b'1\n' | deepmind/math_dataset |
b'Suppose 53*h = 10*h - 13717. Let b = h + 330. Solve -5 = -y, 0*y - y - b = -4*x for x.\n' | b'4\n' | b'Suppose 53*h = 10*h - 13717. Let b = h + 330. Solve -5 = -y, 0*y - y - b = -4*x for x.\n' | b'4\n' | deepmind/math_dataset |
b'Let y be 144/(-40)*(-20)/(-3). Let s = y + 29. Solve 0 = -r, h = s*r + 6 - 3 for h.\n' | b'3\n' | b'Let y be 144/(-40)*(-20)/(-3). Let s = y + 29. Solve 0 = -r, h = s*r + 6 - 3 for h.\n' | b'3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from yyyccyryrr. Give prob of picking 2 r.\n' | b'1/15\n' | b'Two letters picked without replacement from yyyccyryrr. Give prob of picking 2 r.\n' | b'1/15\n' | deepmind/math_dataset |
b'Let u(f) be the first derivative of 0*f**3 - 3 - 9/5*f**5 + 0*f + 0*f**4 + 9*f**2. What is the second derivative of u(i) wrt i?\n' | b'-108*i**2\n' | b'Let u(f) be the first derivative of 0*f**3 - 3 - 9/5*f**5 + 0*f + 0*f**4 + 9*f**2. What is the second derivative of u(i) wrt i?\n' | b'-108*i**2\n' | deepmind/math_dataset |
b'Let o(u) = -32*u**2 + 2. Let p = 5973 - 5972. Determine o(p).\n' | b'-30\n' | b'Let o(u) = -32*u**2 + 2. Let p = 5973 - 5972. Determine o(p).\n' | b'-30\n' | deepmind/math_dataset |
b'Simplify ((q*(q**8*q)/q*q)/q)**45 assuming q is positive.\n' | b'q**405\n' | b'Simplify ((q*(q**8*q)/q*q)/q)**45 assuming q is positive.\n' | b'q**405\n' | deepmind/math_dataset |
b'Suppose -4*n = -5*n. Let q(u) be the first derivative of 0*u + 0*u**4 - 1 + 1/5*u**5 + n*u**3 - 1/2*u**2. What is the second derivative of q(x) wrt x?\n' | b'12*x**2\n' | b'Suppose -4*n = -5*n. Let q(u) be the first derivative of 0*u + 0*u**4 - 1 + 1/5*u**5 + n*u**3 - 1/2*u**2. What is the second derivative of q(x) wrt x?\n' | b'12*x**2\n' | deepmind/math_dataset |
b'What is prob of sequence tawl when four letters picked without replacement from ttqtawttqtwatqlwvt?\n' | b'1/1530\n' | b'What is prob of sequence tawl when four letters picked without replacement from ttqtawttqtwatqlwvt?\n' | b'1/1530\n' | deepmind/math_dataset |
b'Let w = 14 + -11. Suppose -6 = n - w*n. What is the third derivative of -4*g**3 + 7*g**3 - 2*g**2 + 4*g**3 - g**n wrt g?\n' | b'36\n' | b'Let w = 14 + -11. Suppose -6 = n - w*n. What is the third derivative of -4*g**3 + 7*g**3 - 2*g**2 + 4*g**3 - g**n wrt g?\n' | b'36\n' | deepmind/math_dataset |
b'Simplify (g*g/g**11)**(1/7)*(g**(-14))**(-32) assuming g is positive.\n' | b'g**(3127/7)\n' | b'Simplify (g*g/g**11)**(1/7)*(g**(-14))**(-32) assuming g is positive.\n' | b'g**(3127/7)\n' | deepmind/math_dataset |
b'Let d(r) = -13*r - 1. Let n(u) = 7*u. Let o(w) = -6*d(w) - 11*n(w). What is o(-10)?\n' | b'-4\n' | b'Let d(r) = -13*r - 1. Let n(u) = 7*u. Let o(w) = -6*d(w) - 11*n(w). What is o(-10)?\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify (p/(p/(p**4/p))*p/((p*p**(1/4))/p))**12*((p*(p*p/(p*p**(1/3)*p))/p)**(-17))**(-1/3) assuming p is positive.\n' | b'p**(388/9)\n' | b'Simplify (p/(p/(p**4/p))*p/((p*p**(1/4))/p))**12*((p*(p*p/(p*p**(1/3)*p))/p)**(-17))**(-1/3) assuming p is positive.\n' | b'p**(388/9)\n' | deepmind/math_dataset |
b'Let i(f) be the third derivative of -f**5/30 + 17*f**4/24 + 55*f**3/6 - 2*f**2 + 11*f. Let t be i(11). Solve -8 = -x - 0*n + 3*n, t = -4*n - 16 for x.\n' | b'-4\n' | b'Let i(f) be the third derivative of -f**5/30 + 17*f**4/24 + 55*f**3/6 - 2*f**2 + 11*f. Let t be i(11). Solve -8 = -x - 0*n + 3*n, t = -4*n - 16 for x.\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose -15 = 2*b - 5*y, 3*b = -b - 3*y + 35. Suppose 2*l + 21 - 4 = 3*a, 2*a - 6 = -4*l. What is the second derivative of -2*w + 13*w - 3*w**5 + b*w**a wrt w?\n' | b'40*w**3\n' | b'Suppose -15 = 2*b - 5*y, 3*b = -b - 3*y + 35. Suppose 2*l + 21 - 4 = 3*a, 2*a - 6 = -4*l. What is the second derivative of -2*w + 13*w - 3*w**5 + b*w**a wrt w?\n' | b'40*w**3\n' | deepmind/math_dataset |
b'Suppose 3*q - 19 = -2*q - 4*i, q - 4*i + 1 = 0. What is the second derivative of 29 - q*n**4 + 41*n + 6*n + 4*n**3 - 42*n wrt n?\n' | b'-36*n**2 + 24*n\n' | b'Suppose 3*q - 19 = -2*q - 4*i, q - 4*i + 1 = 0. What is the second derivative of 29 - q*n**4 + 41*n + 6*n + 4*n**3 - 42*n wrt n?\n' | b'-36*n**2 + 24*n\n' | deepmind/math_dataset |
b'Simplify d**(-17)*d/(d*d**6)*d assuming d is positive.\n' | b'd**(-22)\n' | b'Simplify d**(-17)*d/(d*d**6)*d assuming d is positive.\n' | b'd**(-22)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {z: 2, v: 1, h: 1, k: 4}. Give prob of sequence kk.\n' | b'3/14\n' | b'Two letters picked without replacement from {z: 2, v: 1, h: 1, k: 4}. Give prob of sequence kk.\n' | b'3/14\n' | deepmind/math_dataset |
b'Let u(m) = -9*m + 5. Let b be (-2)/11 + (-2745)/3355. What is u(b)?\n' | b'14\n' | b'Let u(m) = -9*m + 5. Let b be (-2)/11 + (-2745)/3355. What is u(b)?\n' | b'14\n' | deepmind/math_dataset |
b'Simplify ((b*b**(-36))/b**(-3/10))/(b**(4/9)*b/(b/b**28*b)) assuming b is positive.\n' | b'b**(-5593/90)\n' | b'Simplify ((b*b**(-36))/b**(-3/10))/(b**(4/9)*b/(b/b**28*b)) assuming b is positive.\n' | b'b**(-5593/90)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from otsptooxooscssstttst. What is prob of sequence ptcs?\n' | b'1/3230\n' | b'Four letters picked without replacement from otsptooxooscssstttst. What is prob of sequence ptcs?\n' | b'1/3230\n' | deepmind/math_dataset |
b'Calculate prob of sequence uvuv when four letters picked without replacement from uvvvvvvuvvvv.\n' | b'1/66\n' | b'Calculate prob of sequence uvuv when four letters picked without replacement from uvvvvvvuvvvv.\n' | b'1/66\n' | deepmind/math_dataset |
b'Suppose -13*u = 14*u - 27. Solve 0*g + m - u = 3*g, -4*g - 4*m = 12 for g.\n' | b'-1\n' | b'Suppose -13*u = 14*u - 27. Solve 0*g + m - u = 3*g, -4*g - 4*m = 12 for g.\n' | b'-1\n' | deepmind/math_dataset |
b'Let r = 95 + -92. Solve -r*h - t = -16, 17 = 3*h - 2*t + 4 for h.\n' | b'5\n' | b'Let r = 95 + -92. Solve -r*h - t = -16, 17 = 3*h - 2*t + 4 for h.\n' | b'5\n' | deepmind/math_dataset |
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