question
stringlengths 40
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stringlengths 6
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| instruction_seed
stringlengths 40
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stringlengths 6
35
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|---|---|---|---|---|
b'Simplify (o**0/o**(-3))**(1/3) assuming o is positive.\n'
|
b'o\n'
|
b'Simplify (o**0/o**(-3))**(1/3) assuming o is positive.\n'
|
b'o\n'
|
deepmind/math_dataset
|
b'Simplify i**(-6/29)/i*i/i**(1/34)*i assuming i is positive.\n'
|
b'i**(753/986)\n'
|
b'Simplify i**(-6/29)/i*i/i**(1/34)*i assuming i is positive.\n'
|
b'i**(753/986)\n'
|
deepmind/math_dataset
|
b'Let j(n) be the first derivative of -7 + 0*n**2 - 11/3*n**3 + 4*n. Find the first derivative of j(m) wrt m.\n'
|
b'-22*m\n'
|
b'Let j(n) be the first derivative of -7 + 0*n**2 - 11/3*n**3 + 4*n. Find the first derivative of j(m) wrt m.\n'
|
b'-22*m\n'
|
deepmind/math_dataset
|
b'Calculate prob of sequence sjep when four letters picked without replacement from {p: 1, s: 6, j: 2, e: 3}.\n'
|
b'1/330\n'
|
b'Calculate prob of sequence sjep when four letters picked without replacement from {p: 1, s: 6, j: 2, e: 3}.\n'
|
b'1/330\n'
|
deepmind/math_dataset
|
b'What is prob of sequence vz when two letters picked without replacement from {f: 4, z: 3, v: 1}?\n'
|
b'3/56\n'
|
b'What is prob of sequence vz when two letters picked without replacement from {f: 4, z: 3, v: 1}?\n'
|
b'3/56\n'
|
deepmind/math_dataset
|
b'Simplify (((x/(x**(1/6)*x))/(x*x**(-2)*x))**(-1/76))**(-1/62) assuming x is positive.\n'
|
b'x**(-1/28272)\n'
|
b'Simplify (((x/(x**(1/6)*x))/(x*x**(-2)*x))**(-1/76))**(-1/62) assuming x is positive.\n'
|
b'x**(-1/28272)\n'
|
deepmind/math_dataset
|
b'Let w(d) = 9*d**3 - 33*d**2 - 225. Let x(g) = -13*g**3 + 49*g**2 + 338. Let k(v) = -7*w(v) - 5*x(v). Differentiate k(p) with respect to p.\n'
|
b'6*p**2 - 28*p\n'
|
b'Let w(d) = 9*d**3 - 33*d**2 - 225. Let x(g) = -13*g**3 + 49*g**2 + 338. Let k(v) = -7*w(v) - 5*x(v). Differentiate k(p) with respect to p.\n'
|
b'6*p**2 - 28*p\n'
|
deepmind/math_dataset
|
b'Let q = 14 - 8. Let s(p) = 4*p - 6. Let m be s(q). Solve m = 3*k + 3*o, 5*k + 5*o - 24 = 6*o for k.\n'
|
b'5\n'
|
b'Let q = 14 - 8. Let s(p) = 4*p - 6. Let m be s(q). Solve m = 3*k + 3*o, 5*k + 5*o - 24 = 6*o for k.\n'
|
b'5\n'
|
deepmind/math_dataset
|
b'Find the third derivative of -5*c**2 + 7*c - 4*c**2 - 17*c - 80*c**6 + 7*c + c**3 wrt c.\n'
|
b'-9600*c**3 + 6\n'
|
b'Find the third derivative of -5*c**2 + 7*c - 4*c**2 - 17*c - 80*c**6 + 7*c + c**3 wrt c.\n'
|
b'-9600*c**3 + 6\n'
|
deepmind/math_dataset
|
b'Four letters picked without replacement from {v: 9, l: 1, r: 2, n: 2}. What is prob of sequence lvvn?\n'
|
b'6/1001\n'
|
b'Four letters picked without replacement from {v: 9, l: 1, r: 2, n: 2}. What is prob of sequence lvvn?\n'
|
b'6/1001\n'
|
deepmind/math_dataset
|
b'Let p(a) = -4*a**3 - 97*a**2 - 633. Let l(w) = 12*w**3 + 290*w**2 + 1900. Let y(k) = 6*l(k) + 17*p(k). Differentiate y(n) with respect to n.\n'
|
b'12*n**2 + 182*n\n'
|
b'Let p(a) = -4*a**3 - 97*a**2 - 633. Let l(w) = 12*w**3 + 290*w**2 + 1900. Let y(k) = 6*l(k) + 17*p(k). Differentiate y(n) with respect to n.\n'
|
b'12*n**2 + 182*n\n'
|
deepmind/math_dataset
|
b'Four letters picked without replacement from cwdbwdd. What is prob of picking 2 w and 2 d?\n'
|
b'3/35\n'
|
b'Four letters picked without replacement from cwdbwdd. What is prob of picking 2 w and 2 d?\n'
|
b'3/35\n'
|
deepmind/math_dataset
|
b'Let g(o) be the second derivative of o**3/6 - 5*o**2/2 - o. Let m(n) = -n**2 + 4*n + 18. Let s be m(6). Suppose 0 = s*f - f - 30. Determine g(f).\n'
|
b'1\n'
|
b'Let g(o) be the second derivative of o**3/6 - 5*o**2/2 - o. Let m(n) = -n**2 + 4*n + 18. Let s be m(6). Suppose 0 = s*f - f - 30. Determine g(f).\n'
|
b'1\n'
|
deepmind/math_dataset
|
b'Let p(v) = -4*v - 3. Let t(d) = -d**2 + 2. Let n be t(2). Let a be p(n). What is the second derivative of 4*h**5 - 3*h**5 + 2*h - 2*h**a wrt h?\n'
|
b'-20*h**3\n'
|
b'Let p(v) = -4*v - 3. Let t(d) = -d**2 + 2. Let n be t(2). Let a be p(n). What is the second derivative of 4*h**5 - 3*h**5 + 2*h - 2*h**a wrt h?\n'
|
b'-20*h**3\n'
|
deepmind/math_dataset
|
b'What is prob of picking 1 a and 1 m when two letters picked without replacement from amd?\n'
|
b'1/3\n'
|
b'What is prob of picking 1 a and 1 m when two letters picked without replacement from amd?\n'
|
b'1/3\n'
|
deepmind/math_dataset
|
b'Let c(g) = 2*g - 22. Let p be c(21). What is the second derivative of p*b**5 - 1 + 2*b**2 + 57*b**5 + 6*b**5 + 2*b wrt b?\n'
|
b'1660*b**3 + 4\n'
|
b'Let c(g) = 2*g - 22. Let p be c(21). What is the second derivative of p*b**5 - 1 + 2*b**2 + 57*b**5 + 6*b**5 + 2*b wrt b?\n'
|
b'1660*b**3 + 4\n'
|
deepmind/math_dataset
|
b'Let b(a) = -1347*a + 1348. Let f be b(1). Let w be 2/9 + (-16)/(-9). Let p(v) = 0 - v - 2*v + 2*v + 1 + 7*v**w. Calculate p(f).\n'
|
b'7\n'
|
b'Let b(a) = -1347*a + 1348. Let f be b(1). Let w be 2/9 + (-16)/(-9). Let p(v) = 0 - v - 2*v + 2*v + 1 + 7*v**w. Calculate p(f).\n'
|
b'7\n'
|
deepmind/math_dataset
|
b'What is prob of picking 1 z and 2 m when three letters picked without replacement from dmmmzdmmmzzdzmmmmm?\n'
|
b'55/204\n'
|
b'What is prob of picking 1 z and 2 m when three letters picked without replacement from dmmmzdmmmzzdzmmmmm?\n'
|
b'55/204\n'
|
deepmind/math_dataset
|
b'Simplify ((g*g**(-2))**(1/23)/(g**12/g**(-3)))**(-6) assuming g is positive.\n'
|
b'g**(2076/23)\n'
|
b'Simplify ((g*g**(-2))**(1/23)/(g**12/g**(-3)))**(-6) assuming g is positive.\n'
|
b'g**(2076/23)\n'
|
deepmind/math_dataset
|
b'Three letters picked without replacement from fqfyffffyfyfffyfy. What is prob of picking 1 f, 1 q, and 1 y?\n'
|
b'11/136\n'
|
b'Three letters picked without replacement from fqfyffffyfyfffyfy. What is prob of picking 1 f, 1 q, and 1 y?\n'
|
b'11/136\n'
|
deepmind/math_dataset
|
b'Let n(o) = -o**2 - o - 2. Let g = -102 + 100. What is n(g)?\n'
|
b'-4\n'
|
b'Let n(o) = -o**2 - o - 2. Let g = -102 + 100. What is n(g)?\n'
|
b'-4\n'
|
deepmind/math_dataset
|
b'Calculate prob of picking 1 u and 1 e when two letters picked without replacement from ueueeumememeeeemueee.\n'
|
b'24/95\n'
|
b'Calculate prob of picking 1 u and 1 e when two letters picked without replacement from ueueeumememeeeemueee.\n'
|
b'24/95\n'
|
deepmind/math_dataset
|
b'Let j = -1103 - -1105. Solve -2*f = -2*p + 10, 3*f - j = -2*p + 3 for p.\n'
|
b'4\n'
|
b'Let j = -1103 - -1105. Solve -2*f = -2*p + 10, 3*f - j = -2*p + 3 for p.\n'
|
b'4\n'
|
deepmind/math_dataset
|
b'Let c(q) be the third derivative of -4 + 2*q**2 + 1/40*q**6 + 1/35*q**7 + 0*q**3 + 0*q + 7/20*q**5 + 0*q**4. What is the third derivative of c(v) wrt v?\n'
|
b'144*v + 18\n'
|
b'Let c(q) be the third derivative of -4 + 2*q**2 + 1/40*q**6 + 1/35*q**7 + 0*q**3 + 0*q + 7/20*q**5 + 0*q**4. What is the third derivative of c(v) wrt v?\n'
|
b'144*v + 18\n'
|
deepmind/math_dataset
|
b'What is prob of sequence yyqe when four letters picked without replacement from ylyqlyylyllllleyel?\n'
|
b'1/1224\n'
|
b'What is prob of sequence yyqe when four letters picked without replacement from ylyqlyylyllllleyel?\n'
|
b'1/1224\n'
|
deepmind/math_dataset
|
b'Suppose 16*j - 12*j - 8 = 0. What is the first derivative of 9*g + 21*g**2 + 12*g - 82 + 31*g**j - 21*g wrt g?\n'
|
b'104*g\n'
|
b'Suppose 16*j - 12*j - 8 = 0. What is the first derivative of 9*g + 21*g**2 + 12*g - 82 + 31*g**j - 21*g wrt g?\n'
|
b'104*g\n'
|
deepmind/math_dataset
|
b'Three letters picked without replacement from {f: 6, k: 1, c: 1, j: 2, l: 8}. What is prob of picking 1 f, 1 c, and 1 j?\n'
|
b'1/68\n'
|
b'Three letters picked without replacement from {f: 6, k: 1, c: 1, j: 2, l: 8}. What is prob of picking 1 f, 1 c, and 1 j?\n'
|
b'1/68\n'
|
deepmind/math_dataset
|
b'Simplify (o**(2/23)/o**16)/(o**(4/3)/o*o*o**(-24)) assuming o is positive.\n'
|
b'o**(466/69)\n'
|
b'Simplify (o**(2/23)/o**16)/(o**(4/3)/o*o*o**(-24)) assuming o is positive.\n'
|
b'o**(466/69)\n'
|
deepmind/math_dataset
|
b'Let s = 3 + -2. Suppose 4*i = -5*a + 6 - 37, -4*i = 16. Let c(u) = 2*u**2 + 2*u. Let b(q) = -q**3 - 2*q**2 - 3*q. Let h(k) = a*b(k) - 4*c(k). Calculate h(s).\n'
|
b'2\n'
|
b'Let s = 3 + -2. Suppose 4*i = -5*a + 6 - 37, -4*i = 16. Let c(u) = 2*u**2 + 2*u. Let b(q) = -q**3 - 2*q**2 - 3*q. Let h(k) = a*b(k) - 4*c(k). Calculate h(s).\n'
|
b'2\n'
|
deepmind/math_dataset
|
b'Suppose 4*u - 20 = -u. Solve 4*m = -20, -6*r + r + 5 = -u*m for r.\n'
|
b'-3\n'
|
b'Suppose 4*u - 20 = -u. Solve 4*m = -20, -6*r + r + 5 = -u*m for r.\n'
|
b'-3\n'
|
deepmind/math_dataset
|
b'Let j = -335 + 335. Suppose j = i + 352 - 353. Let u(x) = -5*x**3 + x**2 - 2*x + 1. Calculate u(i).\n'
|
b'-5\n'
|
b'Let j = -335 + 335. Suppose j = i + 352 - 353. Let u(x) = -5*x**3 + x**2 - 2*x + 1. Calculate u(i).\n'
|
b'-5\n'
|
deepmind/math_dataset
|
b'Let j(c) = -24*c**3 + 1. Let p = -5354 - -5353. Give j(p).\n'
|
b'25\n'
|
b'Let j(c) = -24*c**3 + 1. Let p = -5354 - -5353. Give j(p).\n'
|
b'25\n'
|
deepmind/math_dataset
|
b'Calculate prob of sequence mz when two letters picked without replacement from mmmmmmmmmmzmmmm.\n'
|
b'1/15\n'
|
b'Calculate prob of sequence mz when two letters picked without replacement from mmmmmmmmmmzmmmm.\n'
|
b'1/15\n'
|
deepmind/math_dataset
|
b'Let y = 53 - 52. Suppose 5*k - 4*k - 6 = -z, 0 = 2*z + k - 15. Let g be (-10)/((-45)/z) + (y - -2). Solve 0 = -4*r - 5*n + 29, r - g*n - 8 = -32 for r.\n'
|
b'1\n'
|
b'Let y = 53 - 52. Suppose 5*k - 4*k - 6 = -z, 0 = 2*z + k - 15. Let g be (-10)/((-45)/z) + (y - -2). Solve 0 = -4*r - 5*n + 29, r - g*n - 8 = -32 for r.\n'
|
b'1\n'
|
deepmind/math_dataset
|
b'Let j be (1/4)/(9/(-36)). Let m(v) = -4*v + 1. Let a be m(j). Let h(d) = 4*d**2 + d. Let b(z) = 5*z**2 - 1. Let y(r) = 5*b(r) - 6*h(r). What is y(a)?\n'
|
b'-10\n'
|
b'Let j be (1/4)/(9/(-36)). Let m(v) = -4*v + 1. Let a be m(j). Let h(d) = 4*d**2 + d. Let b(z) = 5*z**2 - 1. Let y(r) = 5*b(r) - 6*h(r). What is y(a)?\n'
|
b'-10\n'
|
deepmind/math_dataset
|
b'Let q(a) = -2*a**3 + 2*a**2 - 3*a + 3. Let r(m) = 10724*m**3 + 1075*m**2 - 12*m + 14. Let o(y) = -4*q(y) + r(y). What is the third derivative of o(j) wrt j?\n'
|
b'64392\n'
|
b'Let q(a) = -2*a**3 + 2*a**2 - 3*a + 3. Let r(m) = 10724*m**3 + 1075*m**2 - 12*m + 14. Let o(y) = -4*q(y) + r(y). What is the third derivative of o(j) wrt j?\n'
|
b'64392\n'
|
deepmind/math_dataset
|
b'Calculate prob of sequence rrr when three letters picked without replacement from ururrrrururrrr.\n'
|
b'30/91\n'
|
b'Calculate prob of sequence rrr when three letters picked without replacement from ururrrrururrrr.\n'
|
b'30/91\n'
|
deepmind/math_dataset
|
b'Three letters picked without replacement from fgrrggngg. What is prob of sequence gfg?\n'
|
b'5/126\n'
|
b'Three letters picked without replacement from fgrrggngg. What is prob of sequence gfg?\n'
|
b'5/126\n'
|
deepmind/math_dataset
|
b'Let r(i) = -i**3 + 8*i**2 - 3*i - 4. Let z(j) = -j**3 + 9*j**2 - 4*j - 4. Let n(q) = 5*r(q) - 4*z(q). Calculate n(4).\n'
|
b'0\n'
|
b'Let r(i) = -i**3 + 8*i**2 - 3*i - 4. Let z(j) = -j**3 + 9*j**2 - 4*j - 4. Let n(q) = 5*r(q) - 4*z(q). Calculate n(4).\n'
|
b'0\n'
|
deepmind/math_dataset
|
b'Let d(h) = -13*h**2 + 1. Let a(x) = 14*x**2 - 1. Let p(r) = r - 1. Let f be p(-3). Let g(m) = f*a(m) - 5*d(m). What is the derivative of g(o) wrt o?\n'
|
b'18*o\n'
|
b'Let d(h) = -13*h**2 + 1. Let a(x) = 14*x**2 - 1. Let p(r) = r - 1. Let f be p(-3). Let g(m) = f*a(m) - 5*d(m). What is the derivative of g(o) wrt o?\n'
|
b'18*o\n'
|
deepmind/math_dataset
|
b'Three letters picked without replacement from pprvprrrrrttvrrpvppp. What is prob of sequence vrv?\n'
|
b'2/285\n'
|
b'Three letters picked without replacement from pprvprrrrrttvrrpvppp. What is prob of sequence vrv?\n'
|
b'2/285\n'
|
deepmind/math_dataset
|
b'Four letters picked without replacement from bjjjk. Give prob of sequence jbjk.\n'
|
b'1/20\n'
|
b'Four letters picked without replacement from bjjjk. Give prob of sequence jbjk.\n'
|
b'1/20\n'
|
deepmind/math_dataset
|
b'Four letters picked without replacement from nnwnnnnnwnwnnn. What is prob of sequence wwwn?\n'
|
b'1/364\n'
|
b'Four letters picked without replacement from nnwnnnnnwnwnnn. What is prob of sequence wwwn?\n'
|
b'1/364\n'
|
deepmind/math_dataset
|
b'Three letters picked without replacement from {h: 4, u: 1, n: 8, t: 1, l: 2}. Give prob of sequence lun.\n'
|
b'1/210\n'
|
b'Three letters picked without replacement from {h: 4, u: 1, n: 8, t: 1, l: 2}. Give prob of sequence lun.\n'
|
b'1/210\n'
|
deepmind/math_dataset
|
b'Suppose 4*d + 5 = -a, -13*d + 5 = -a - 15*d. Let l(g) = g**2 + 4*g - 5. Determine l(a).\n'
|
b'0\n'
|
b'Suppose 4*d + 5 = -a, -13*d + 5 = -a - 15*d. Let l(g) = g**2 + 4*g - 5. Determine l(a).\n'
|
b'0\n'
|
deepmind/math_dataset
|
b'Three letters picked without replacement from ccicggcgccgcggccc. Give prob of sequence igg.\n'
|
b'1/136\n'
|
b'Three letters picked without replacement from ccicggcgccgcggccc. Give prob of sequence igg.\n'
|
b'1/136\n'
|
deepmind/math_dataset
|
b'Let x = -1 - 0. Let s be (2/4)/(x/4). Let n = -2 - s. Solve -4*g = -2*l + 1 - 13, n = 2*l + g - 3 for l.\n'
|
b'0\n'
|
b'Let x = -1 - 0. Let s be (2/4)/(x/4). Let n = -2 - s. Solve -4*g = -2*l + 1 - 13, n = 2*l + g - 3 for l.\n'
|
b'0\n'
|
deepmind/math_dataset
|
b'Suppose 0 = -o - 3*z - 16, -2*o = -4*z + 79 - 7. Let v be o/(-154) - 2/11 - -2. Solve -3*n = -v*c + 25, -4*c + n + 30 = -n for c.\n'
|
b'5\n'
|
b'Suppose 0 = -o - 3*z - 16, -2*o = -4*z + 79 - 7. Let v be o/(-154) - 2/11 - -2. Solve -3*n = -v*c + 25, -4*c + n + 30 = -n for c.\n'
|
b'5\n'
|
deepmind/math_dataset
|
b'Three letters picked without replacement from {c: 1, t: 5, e: 7}. What is prob of picking 2 e and 1 c?\n'
|
b'21/286\n'
|
b'Three letters picked without replacement from {c: 1, t: 5, e: 7}. What is prob of picking 2 e and 1 c?\n'
|
b'21/286\n'
|
deepmind/math_dataset
|
b'Calculate prob of picking 3 n when three letters picked without replacement from nnngng.\n'
|
b'1/5\n'
|
b'Calculate prob of picking 3 n when three letters picked without replacement from nnngng.\n'
|
b'1/5\n'
|
deepmind/math_dataset
|
b'Suppose y - 567 = -8*y. Suppose -4*t + 3*j = -y, -21*t + 23*t - 4*j - 44 = 0. Let k(f) = f**2 - 14*f + 19. Give k(t).\n'
|
b'-5\n'
|
b'Suppose y - 567 = -8*y. Suppose -4*t + 3*j = -y, -21*t + 23*t - 4*j - 44 = 0. Let k(f) = f**2 - 14*f + 19. Give k(t).\n'
|
b'-5\n'
|
deepmind/math_dataset
|
b'Four letters picked without replacement from ryyyuyryyruyurur. Give prob of sequence ruuy.\n'
|
b'1/104\n'
|
b'Four letters picked without replacement from ryyyuyryyruyurur. Give prob of sequence ruuy.\n'
|
b'1/104\n'
|
deepmind/math_dataset
|
b'Two letters picked without replacement from tyzlzl. Give prob of picking 1 y and 1 l.\n'
|
b'2/15\n'
|
b'Two letters picked without replacement from tyzlzl. Give prob of picking 1 y and 1 l.\n'
|
b'2/15\n'
|
deepmind/math_dataset
|
b'Simplify ((s/s**(-5/6)*s)/s*s/(s**20/s*s)*s*s)**(-6/7) assuming s is positive.\n'
|
b's**13\n'
|
b'Simplify ((s/s**(-5/6)*s)/s*s/(s**20/s*s)*s*s)**(-6/7) assuming s is positive.\n'
|
b's**13\n'
|
deepmind/math_dataset
|
b'Three letters picked without replacement from {d: 5, k: 5}. What is prob of sequence dkd?\n'
|
b'5/36\n'
|
b'Three letters picked without replacement from {d: 5, k: 5}. What is prob of sequence dkd?\n'
|
b'5/36\n'
|
deepmind/math_dataset
|
b'Let l be (-16)/(-24) - 12/(-9). Differentiate -14 - 2*a**2 - a**l + a**2 + 16*a**2 with respect to a.\n'
|
b'28*a\n'
|
b'Let l be (-16)/(-24) - 12/(-9). Differentiate -14 - 2*a**2 - a**l + a**2 + 16*a**2 with respect to a.\n'
|
b'28*a\n'
|
deepmind/math_dataset
|
b'Simplify (j**(-5)/j*j**(-4)*j)/(((j/(j*(j*j*(j/j**(2/9))/j*j)/j)*j)/j)/(j*j**(1/3))) assuming j is positive.\n'
|
b'j**(-53/9)\n'
|
b'Simplify (j**(-5)/j*j**(-4)*j)/(((j/(j*(j*j*(j/j**(2/9))/j*j)/j)*j)/j)/(j*j**(1/3))) assuming j is positive.\n'
|
b'j**(-53/9)\n'
|
deepmind/math_dataset
|
b'Calculate prob of sequence yygg when four letters picked without replacement from tgydpddptpypgtpyttyf.\n'
|
b'1/4845\n'
|
b'Calculate prob of sequence yygg when four letters picked without replacement from tgydpddptpypgtpyttyf.\n'
|
b'1/4845\n'
|
deepmind/math_dataset
|
b'Simplify (c*c**2*c)/c**(1/6)*c*c**(-7)*c**1*((c*c/c**(-2))**20)**(3/8) assuming c is positive.\n'
|
b'c**(173/6)\n'
|
b'Simplify (c*c**2*c)/c**(1/6)*c*c**(-7)*c**1*((c*c/c**(-2))**20)**(3/8) assuming c is positive.\n'
|
b'c**(173/6)\n'
|
deepmind/math_dataset
|
b'Simplify (q**(2/13)/(q*(q*q/(q**(1/2)/q))/q))**(3/2)/(q**(-2/13)/(q/(q*(q/(q/(q/(q*q**(-3/7)))))/q)))**(-2/37) assuming q is positive.\n'
|
b'q**(-47925/13468)\n'
|
b'Simplify (q**(2/13)/(q*(q*q/(q**(1/2)/q))/q))**(3/2)/(q**(-2/13)/(q/(q*(q/(q/(q/(q*q**(-3/7)))))/q)))**(-2/37) assuming q is positive.\n'
|
b'q**(-47925/13468)\n'
|
deepmind/math_dataset
|
b'Simplify (((s**(-2/13)/s*s)/(s/(s*(s**(-1)/s)/s)))/(s**(-2/5))**(4/7))/((s**(-2/19)/(s/(s/(s/s**(-1))*s)*s))/((s/s**6)/(s/s**(-3)))) assuming s is positive.\n'
|
b's**(-84894/8645)\n'
|
b'Simplify (((s**(-2/13)/s*s)/(s/(s*(s**(-1)/s)/s)))/(s**(-2/5))**(4/7))/((s**(-2/19)/(s/(s/(s/s**(-1))*s)*s))/((s/s**6)/(s/s**(-3)))) assuming s is positive.\n'
|
b's**(-84894/8645)\n'
|
deepmind/math_dataset
|
b'Simplify (u*u**(8/3)*u)**(-21) assuming u is positive.\n'
|
b'u**(-98)\n'
|
b'Simplify (u*u**(8/3)*u)**(-21) assuming u is positive.\n'
|
b'u**(-98)\n'
|
deepmind/math_dataset
|
b'What is prob of sequence yr when two letters picked without replacement from yyrrryrrrryryrrrrrr?\n'
|
b'35/171\n'
|
b'What is prob of sequence yr when two letters picked without replacement from yyrrryrrrryryrrrrrr?\n'
|
b'35/171\n'
|
deepmind/math_dataset
|
b'Let l(y) = -y. Let u(r) = 6*r**2 - 6*r. Let p(q) = q**2 - 1. Let d(x) = -5*p(x) + u(x). Let b be d(6). What is l(b)?\n'
|
b'-5\n'
|
b'Let l(y) = -y. Let u(r) = 6*r**2 - 6*r. Let p(q) = q**2 - 1. Let d(x) = -5*p(x) + u(x). Let b be d(6). What is l(b)?\n'
|
b'-5\n'
|
deepmind/math_dataset
|
b'Let m(t) = -t**3 - 2*t**2 + 6*t + 3. Let l = 1 + -5. What is m(l)?\n'
|
b'11\n'
|
b'Let m(t) = -t**3 - 2*t**2 + 6*t + 3. Let l = 1 + -5. What is m(l)?\n'
|
b'11\n'
|
deepmind/math_dataset
|
b'Two letters picked without replacement from {k: 12, c: 3}. What is prob of picking 2 c?\n'
|
b'1/35\n'
|
b'Two letters picked without replacement from {k: 12, c: 3}. What is prob of picking 2 c?\n'
|
b'1/35\n'
|
deepmind/math_dataset
|
b'Let n(j) be the second derivative of -j**6/24 - 17*j**4/24 + j**3/6 - 18*j. Let l(w) be the second derivative of n(w). Differentiate l(k) wrt k.\n'
|
b'-30*k\n'
|
b'Let n(j) be the second derivative of -j**6/24 - 17*j**4/24 + j**3/6 - 18*j. Let l(w) be the second derivative of n(w). Differentiate l(k) wrt k.\n'
|
b'-30*k\n'
|
deepmind/math_dataset
|
b'Let z(o) be the first derivative of 919*o**6/2 - 3413*o**2/2 - 1284. What is the second derivative of z(p) wrt p?\n'
|
b'55140*p**3\n'
|
b'Let z(o) be the first derivative of 919*o**6/2 - 3413*o**2/2 - 1284. What is the second derivative of z(p) wrt p?\n'
|
b'55140*p**3\n'
|
deepmind/math_dataset
|
b'Let g(q) = -q**3 + q**2 + q + 2. Let l = -3 + 42. Let b = 55 - l. Suppose 5*x - b = 2*r, -2*r - 3*x = r - 18. What is g(r)?\n'
|
b'0\n'
|
b'Let g(q) = -q**3 + q**2 + q + 2. Let l = -3 + 42. Let b = 55 - l. Suppose 5*x - b = 2*r, -2*r - 3*x = r - 18. What is g(r)?\n'
|
b'0\n'
|
deepmind/math_dataset
|
b'Suppose -2 = -5*u + 33. What is the derivative of -12 + u*v + 4*v + 0*v + 4*v wrt v?\n'
|
b'15\n'
|
b'Suppose -2 = -5*u + 33. What is the derivative of -12 + u*v + 4*v + 0*v + 4*v wrt v?\n'
|
b'15\n'
|
deepmind/math_dataset
|
b'Let m(i) = -3*i**3 + 2 - 4*i**2 + 0*i**3 + 2 + i. Let d(v) = 3*v**3 + 3*v**2 - 3. Let t(o) = 4*d(o) + 3*m(o). Find the second derivative of t(q) wrt q.\n'
|
b'18*q\n'
|
b'Let m(i) = -3*i**3 + 2 - 4*i**2 + 0*i**3 + 2 + i. Let d(v) = 3*v**3 + 3*v**2 - 3. Let t(o) = 4*d(o) + 3*m(o). Find the second derivative of t(q) wrt q.\n'
|
b'18*q\n'
|
deepmind/math_dataset
|
b'What is prob of sequence bp when two letters picked without replacement from bkpkmpkpmk?\n'
|
b'1/30\n'
|
b'What is prob of sequence bp when two letters picked without replacement from bkpkmpkpmk?\n'
|
b'1/30\n'
|
deepmind/math_dataset
|
b'Suppose 3*f - 9*j + 34 = -5*j, -4*f + 5*j - 47 = 0. Let n be 841/261 + -1 + (-14)/f. Solve -3*g = -n*v + 2*g + 4, -3*g = -4*v + 9 for v.\n'
|
b'3\n'
|
b'Suppose 3*f - 9*j + 34 = -5*j, -4*f + 5*j - 47 = 0. Let n be 841/261 + -1 + (-14)/f. Solve -3*g = -n*v + 2*g + 4, -3*g = -4*v + 9 for v.\n'
|
b'3\n'
|
deepmind/math_dataset
|
b'Four letters picked without replacement from {j: 2, z: 2, a: 2, k: 4, v: 1, r: 4}. Give prob of picking 1 v, 1 z, 1 r, and 1 a.\n'
|
b'16/1365\n'
|
b'Four letters picked without replacement from {j: 2, z: 2, a: 2, k: 4, v: 1, r: 4}. Give prob of picking 1 v, 1 z, 1 r, and 1 a.\n'
|
b'16/1365\n'
|
deepmind/math_dataset
|
b'Let p(c) = -8*c**2 - 9*c + 2. Let z(l) = -57*l**2 - 63*l + 15. Let a(r) = 15*p(r) - 2*z(r). What is the second derivative of a(v) wrt v?\n'
|
b'-12\n'
|
b'Let p(c) = -8*c**2 - 9*c + 2. Let z(l) = -57*l**2 - 63*l + 15. Let a(r) = 15*p(r) - 2*z(r). What is the second derivative of a(v) wrt v?\n'
|
b'-12\n'
|
deepmind/math_dataset
|
b'Let a(w) = -w**3 + 5*w**2 + 10*w - 7. Let d be a(6). Let p = 21 - d. Solve p*k - g - 16 = -3, 0 = -5*k + 4*g + 8 for k.\n'
|
b'4\n'
|
b'Let a(w) = -w**3 + 5*w**2 + 10*w - 7. Let d be a(6). Let p = 21 - d. Solve p*k - g - 16 = -3, 0 = -5*k + 4*g + 8 for k.\n'
|
b'4\n'
|
deepmind/math_dataset
|
b'Let n = -6473 + 6472. Let a(r) = 5*r**3 - r**2 - 2*r - 1. Give a(n).\n'
|
b'-5\n'
|
b'Let n = -6473 + 6472. Let a(r) = 5*r**3 - r**2 - 2*r - 1. Give a(n).\n'
|
b'-5\n'
|
deepmind/math_dataset
|
b'Simplify ((v**(-8/7)/v*v**2*v**0*v**(-2/7))**(-16/9))**(23/3) assuming v is positive.\n'
|
b'v**(368/63)\n'
|
b'Simplify ((v**(-8/7)/v*v**2*v**0*v**(-2/7))**(-16/9))**(23/3) assuming v is positive.\n'
|
b'v**(368/63)\n'
|
deepmind/math_dataset
|
b'Find the third derivative of -2 + 6 - 89*o**2 + 88*o**3 + 87*o**2 + 24 wrt o.\n'
|
b'528\n'
|
b'Find the third derivative of -2 + 6 - 89*o**2 + 88*o**3 + 87*o**2 + 24 wrt o.\n'
|
b'528\n'
|
deepmind/math_dataset
|
b'Simplify ((t*t*t*t*t**(-2/15)*t*t*t)/(t**12/t))**12 assuming t is positive.\n'
|
b't**(-248/5)\n'
|
b'Simplify ((t*t*t*t*t**(-2/15)*t*t*t)/(t**12/t))**12 assuming t is positive.\n'
|
b't**(-248/5)\n'
|
deepmind/math_dataset
|
b'Suppose 0 = -2*z + 2, 0 = -w + 3*z + 1. Solve w*y + 6 = -5*d, -d - 7*y + 10*y = 5 for d.\n'
|
b'-2\n'
|
b'Suppose 0 = -2*z + 2, 0 = -w + 3*z + 1. Solve w*y + 6 = -5*d, -d - 7*y + 10*y = 5 for d.\n'
|
b'-2\n'
|
deepmind/math_dataset
|
b'Suppose -148 = -2*n - 2*p, 287 = -0*n + 4*n + p. Let q = 73 - n. Solve -q*x - 3*d = 7, -1 = 3*x - 2*d + 3 for x.\n'
|
b'-2\n'
|
b'Suppose -148 = -2*n - 2*p, 287 = -0*n + 4*n + p. Let q = 73 - n. Solve -q*x - 3*d = 7, -1 = 3*x - 2*d + 3 for x.\n'
|
b'-2\n'
|
deepmind/math_dataset
|
b'Let j = 171 - 162. Let t(p) be the third derivative of -p**6/120 + p**5/6 - 5*p**4/12 + 11*p**3/6 - 3*p**2. Determine t(j).\n'
|
b'2\n'
|
b'Let j = 171 - 162. Let t(p) be the third derivative of -p**6/120 + p**5/6 - 5*p**4/12 + 11*p**3/6 - 3*p**2. Determine t(j).\n'
|
b'2\n'
|
deepmind/math_dataset
|
b'Let o(y) = 55*y**2 + 91*y**2 + 49*y**2 + 4*y + 75 - 50*y**2. Let b(v) = v + 3. Let x(u) = -4*b(u) + o(u). Differentiate x(w) wrt w.\n'
|
b'290*w\n'
|
b'Let o(y) = 55*y**2 + 91*y**2 + 49*y**2 + 4*y + 75 - 50*y**2. Let b(v) = v + 3. Let x(u) = -4*b(u) + o(u). Differentiate x(w) wrt w.\n'
|
b'290*w\n'
|
deepmind/math_dataset
|
b'Let s(f) be the third derivative of 0 + 0*f + 0*f**4 + f**2 + 1/3*f**3 - 1/60*f**5. What is s(0)?\n'
|
b'2\n'
|
b'Let s(f) be the third derivative of 0 + 0*f + 0*f**4 + f**2 + 1/3*f**3 - 1/60*f**5. What is s(0)?\n'
|
b'2\n'
|
deepmind/math_dataset
|
b'Let i(q) = -1 - q - 4*q**2 + 0*q**2 - q**2. Determine i(-1).\n'
|
b'-5\n'
|
b'Let i(q) = -1 - q - 4*q**2 + 0*q**2 - q**2. Determine i(-1).\n'
|
b'-5\n'
|
deepmind/math_dataset
|
b'Let c(d) = -2*d - d**3 + 0*d**3 + 4*d + 2. Let f(l) = -l**2 - 13 + 3 - 8*l**2 + 6*l**2 - 25*l. Let y be f(-8). Calculate c(y).\n'
|
b'6\n'
|
b'Let c(d) = -2*d - d**3 + 0*d**3 + 4*d + 2. Let f(l) = -l**2 - 13 + 3 - 8*l**2 + 6*l**2 - 25*l. Let y be f(-8). Calculate c(y).\n'
|
b'6\n'
|
deepmind/math_dataset
|
b'Two letters picked without replacement from {j: 2, x: 11}. Give prob of sequence jx.\n'
|
b'11/78\n'
|
b'Two letters picked without replacement from {j: 2, x: 11}. Give prob of sequence jx.\n'
|
b'11/78\n'
|
deepmind/math_dataset
|
b'Calculate prob of sequence deae when four letters picked without replacement from eaaaaadaaaesd.\n'
|
b'4/2145\n'
|
b'Calculate prob of sequence deae when four letters picked without replacement from eaaaaadaaaesd.\n'
|
b'4/2145\n'
|
deepmind/math_dataset
|
b'Two letters picked without replacement from {b: 6}. Give prob of sequence bb.\n'
|
b'1\n'
|
b'Two letters picked without replacement from {b: 6}. Give prob of sequence bb.\n'
|
b'1\n'
|
deepmind/math_dataset
|
b'Suppose 5*l + 0*l = 0. Let i be l*(4/4 - 0). Solve -r + 18 = 2*q + 3*q, 4*q - 5*r + 3 = i for q.\n'
|
b'3\n'
|
b'Suppose 5*l + 0*l = 0. Let i be l*(4/4 - 0). Solve -r + 18 = 2*q + 3*q, 4*q - 5*r + 3 = i for q.\n'
|
b'3\n'
|
deepmind/math_dataset
|
b'Four letters picked without replacement from {u: 1, n: 3, l: 3, x: 1, c: 3}. Give prob of sequence ulxc.\n'
|
b'1/880\n'
|
b'Four letters picked without replacement from {u: 1, n: 3, l: 3, x: 1, c: 3}. Give prob of sequence ulxc.\n'
|
b'1/880\n'
|
deepmind/math_dataset
|
b'Let m(n) = n**2 + 8*n - 13. Let c be m(-9). Let p = c - -6. Solve 0 = -p*i + 2*a + 3*a + 10, 0 = 4*a + 8 for i.\n'
|
b'0\n'
|
b'Let m(n) = n**2 + 8*n - 13. Let c be m(-9). Let p = c - -6. Solve 0 = -p*i + 2*a + 3*a + 10, 0 = 4*a + 8 for i.\n'
|
b'0\n'
|
deepmind/math_dataset
|
b'Let o(k) be the second derivative of k**5/20 - k**4/6 + k**3/3 - 2*k**2 - 1341*k. Give o(3).\n'
|
b'11\n'
|
b'Let o(k) be the second derivative of k**5/20 - k**4/6 + k**3/3 - 2*k**2 - 1341*k. Give o(3).\n'
|
b'11\n'
|
deepmind/math_dataset
|
b'Simplify (((q**(-2/15)*q)/(q**(-1/5)*q))/(q**(-1)/(q**0*q)))**(-12/5) assuming q is positive.\n'
|
b'q**(-124/25)\n'
|
b'Simplify (((q**(-2/15)*q)/(q**(-1/5)*q))/(q**(-1)/(q**0*q)))**(-12/5) assuming q is positive.\n'
|
b'q**(-124/25)\n'
|
deepmind/math_dataset
|
b'Suppose -4*q - 3 + 11 = 0. Solve -5*h + 17 = 3*c - 3*h, 4*c = -q*h + 22 for c.\n'
|
b'5\n'
|
b'Suppose -4*q - 3 + 11 = 0. Solve -5*h + 17 = 3*c - 3*h, 4*c = -q*h + 22 for c.\n'
|
b'5\n'
|
deepmind/math_dataset
|
b'What is the second derivative of 1997*h**4 - 2145*h**4 - 1583*h + 8*h**5 - 5*h**5 wrt h?\n'
|
b'60*h**3 - 1776*h**2\n'
|
b'What is the second derivative of 1997*h**4 - 2145*h**4 - 1583*h + 8*h**5 - 5*h**5 wrt h?\n'
|
b'60*h**3 - 1776*h**2\n'
|
deepmind/math_dataset
|
b'Find the third derivative of 41*m**5 - 9*m**2 - 2*m**2 + 50*m**5 + 3 - 18*m**5 wrt m.\n'
|
b'4380*m**2\n'
|
b'Find the third derivative of 41*m**5 - 9*m**2 - 2*m**2 + 50*m**5 + 3 - 18*m**5 wrt m.\n'
|
b'4380*m**2\n'
|
deepmind/math_dataset
|
b'Simplify (o/((o/(o/(o*o**(-10))))/o))**(5/6)*(o**(2/21))**15 assuming o is positive.\n'
|
b'o**(445/42)\n'
|
b'Simplify (o/((o/(o/(o*o**(-10))))/o))**(5/6)*(o**(2/21))**15 assuming o is positive.\n'
|
b'o**(445/42)\n'
|
deepmind/math_dataset
|
b'Suppose -3*g + 9 = -3. What is the third derivative of -21*i**2 + 97*i**4 + 103*i**4 - 200*i**g - 21*i**5 wrt i?\n'
|
b'-1260*i**2\n'
|
b'Suppose -3*g + 9 = -3. What is the third derivative of -21*i**2 + 97*i**4 + 103*i**4 - 200*i**g - 21*i**5 wrt i?\n'
|
b'-1260*i**2\n'
|
deepmind/math_dataset
|
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