question stringlengths 40 165 | answer stringlengths 6 35 | instruction_seed stringlengths 40 165 | response_seed stringlengths 6 35 | _source stringclasses 1
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b'Suppose 5*h - 36 = 3*p - 17, 0 = p + 4*h - 22. What is the first derivative of -p*v**2 - 10147*v**3 + 78 - 8*v**4 + 10147*v**3 wrt v?\n' | b'-32*v**3 - 4*v\n' | b'Suppose 5*h - 36 = 3*p - 17, 0 = p + 4*h - 22. What is the first derivative of -p*v**2 - 10147*v**3 + 78 - 8*v**4 + 10147*v**3 wrt v?\n' | b'-32*v**3 - 4*v\n' | deepmind/math_dataset |
b'Let n be 4 - -5*(-35)/25. Let c(h) = -h**2 - 3*h**3 + 4*h**3 + 1 - 2*h + h**2. What is c(n)?\n' | b'-20\n' | b'Let n be 4 - -5*(-35)/25. Let c(h) = -h**2 - 3*h**3 + 4*h**3 + 1 - 2*h + h**2. What is c(n)?\n' | b'-20\n' | deepmind/math_dataset |
b'Let u = 16 + -14. Suppose -12 = x + u*x, -10 = -3*p + x. Differentiate 60*d - 60*d + 6*d**p - 30 with respect to d.\n' | b'12*d\n' | b'Let u = 16 + -14. Suppose -12 = x + u*x, -10 = -3*p + x. Differentiate 60*d - 60*d + 6*d**p - 30 with respect to d.\n' | b'12*d\n' | deepmind/math_dataset |
b'Let g(z) = 2*z - 23. Suppose 3*m = k - 16, 0 = 3*k - 5*k - 3*m + 23. Let d be g(k). Let a(o) = o**3 - 6*o**2 + 3*o - 4. What is a(d)?\n' | b'-22\n' | b'Let g(z) = 2*z - 23. Suppose 3*m = k - 16, 0 = 3*k - 5*k - 3*m + 23. Let d be g(k). Let a(o) = o**3 - 6*o**2 + 3*o - 4. What is a(d)?\n' | b'-22\n' | deepmind/math_dataset |
b'Let a = -10 - -16. Let h(m) = 2 + 2*m**3 - 11*m + a*m + 6*m + m**2. Calculate h(2).\n' | b'24\n' | b'Let a = -10 - -16. Let h(m) = 2 + 2*m**3 - 11*m + a*m + 6*m + m**2. Calculate h(2).\n' | b'24\n' | deepmind/math_dataset |
b'Let v(s) = s**3 - 4*s**2 - 3*s - 7. Let x be v(5). Find the second derivative of 2*l - x*l - 2*l**4 + 0*l wrt l.\n' | b'-24*l**2\n' | b'Let v(s) = s**3 - 4*s**2 - 3*s - 7. Let x be v(5). Find the second derivative of 2*l - x*l - 2*l**4 + 0*l wrt l.\n' | b'-24*l**2\n' | deepmind/math_dataset |
b'Suppose 5*h = 15, 9 = -7*c + 2*c + 3*h. Suppose -i + 4 = 4*k, c*i + 4*i + 16 = 0. Let o(r) = k*r**2 - r**2 + 3 - 2*r**2 + 0*r + 3*r. What is o(5)?\n' | b'-7\n' | b'Suppose 5*h = 15, 9 = -7*c + 2*c + 3*h. Suppose -i + 4 = 4*k, c*i + 4*i + 16 = 0. Let o(r) = k*r**2 - r**2 + 3 - 2*r**2 + 0*r + 3*r. What is o(5)?\n' | b'-7\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {o: 4, b: 7, i: 2, m: 3, c: 1}. What is prob of picking 2 b and 1 c?\n' | b'21/680\n' | b'Three letters picked without replacement from {o: 4, b: 7, i: 2, m: 3, c: 1}. What is prob of picking 2 b and 1 c?\n' | b'21/680\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {t: 1, n: 3}. Give prob of picking 3 n.\n' | b'1/4\n' | b'Three letters picked without replacement from {t: 1, n: 3}. Give prob of picking 3 n.\n' | b'1/4\n' | deepmind/math_dataset |
b'Suppose -6*s = -9*s + 21. Solve 0 = -u - 4*k + 11, s = -2*u + k + 2 for u.\n' | b'-1\n' | b'Suppose -6*s = -9*s + 21. Solve 0 = -u - 4*k + 11, s = -2*u + k + 2 for u.\n' | b'-1\n' | deepmind/math_dataset |
b'Let m(y) = -y**3 + 36*y**2 + 5*y + 5. Let c(d) = -d**2 - d - 1. Let z(x) = -3*c(x) - m(x). What is the second derivative of z(t) wrt t?\n' | b'6*t - 66\n' | b'Let m(y) = -y**3 + 36*y**2 + 5*y + 5. Let c(d) = -d**2 - d - 1. Let z(x) = -3*c(x) - m(x). What is the second derivative of z(t) wrt t?\n' | b'6*t - 66\n' | deepmind/math_dataset |
b'Let c(v) = -2*v**2 - 3*v - 3. Suppose -5*u = 5*j + 30, 3*j + 2 = 3*u + 8. Let l be c(j). Let f(r) = -3 - 2 + 1 - r. Determine f(l).\n' | b'1\n' | b'Let c(v) = -2*v**2 - 3*v - 3. Suppose -5*u = 5*j + 30, 3*j + 2 = 3*u + 8. Let l be c(j). Let f(r) = -3 - 2 + 1 - r. Determine f(l).\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of sequence ss when two letters picked without replacement from {x: 3, b: 2, s: 3}.\n' | b'3/28\n' | b'Calculate prob of sequence ss when two letters picked without replacement from {x: 3, b: 2, s: 3}.\n' | b'3/28\n' | deepmind/math_dataset |
b'Simplify b**10/(b*b**(2/11))*(b/b**(1/7)*b)/b**9 assuming b is positive.\n' | b'b**(129/77)\n' | b'Simplify b**10/(b*b**(2/11))*(b/b**(1/7)*b)/b**9 assuming b is positive.\n' | b'b**(129/77)\n' | deepmind/math_dataset |
b'What is prob of sequence ssp when three letters picked without replacement from {x: 1, i: 3, s: 6, p: 2}?\n' | b'1/22\n' | b'What is prob of sequence ssp when three letters picked without replacement from {x: 1, i: 3, s: 6, p: 2}?\n' | b'1/22\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {m: 3, f: 4, h: 1, q: 2, j: 2, v: 2}. Give prob of picking 2 m and 2 f.\n' | b'18/1001\n' | b'Four letters picked without replacement from {m: 3, f: 4, h: 1, q: 2, j: 2, v: 2}. Give prob of picking 2 m and 2 f.\n' | b'18/1001\n' | deepmind/math_dataset |
b'What is prob of sequence oc when two letters picked without replacement from cvcocoiciicodcicvi?\n' | b'7/102\n' | b'What is prob of sequence oc when two letters picked without replacement from cvcocoiciicodcicvi?\n' | b'7/102\n' | deepmind/math_dataset |
b'Simplify ((h/h**(-24))/(h*h**(3/4)))/(h/h**(-12/13)*h/(h*h*h/(h*h**(-1/14)/h*h*h)*h)) assuming h is positive.\n' | b'h**(8153/364)\n' | b'Simplify ((h/h**(-24))/(h*h**(3/4)))/(h/h**(-12/13)*h/(h*h*h/(h*h**(-1/14)/h*h*h)*h)) assuming h is positive.\n' | b'h**(8153/364)\n' | deepmind/math_dataset |
b'What is prob of picking 2 x and 2 s when four letters picked without replacement from {x: 6, s: 4}?\n' | b'3/7\n' | b'What is prob of picking 2 x and 2 s when four letters picked without replacement from {x: 6, s: 4}?\n' | b'3/7\n' | deepmind/math_dataset |
b'Two letters picked without replacement from qggqgngmgq. Give prob of picking 2 q.\n' | b'1/15\n' | b'Two letters picked without replacement from qggqgngmgq. Give prob of picking 2 q.\n' | b'1/15\n' | deepmind/math_dataset |
b'Four letters picked without replacement from lallalalllllllalla. What is prob of picking 4 a?\n' | b'1/612\n' | b'Four letters picked without replacement from lallalalllllllalla. What is prob of picking 4 a?\n' | b'1/612\n' | deepmind/math_dataset |
b'Suppose -c + 12 - 5 = 0. Suppose 0 = 2*m + q + 5, 3*q = -4*m + 2*q - c. Let x(g) = 25*g**3 + g + 1. What is x(m)?\n' | b'-25\n' | b'Suppose -c + 12 - 5 = 0. Suppose 0 = 2*m + q + 5, 3*q = -4*m + 2*q - c. Let x(g) = 25*g**3 + g + 1. What is x(m)?\n' | b'-25\n' | deepmind/math_dataset |
b'Calculate prob of sequence co when two letters picked without replacement from coaoea.\n' | b'1/15\n' | b'Calculate prob of sequence co when two letters picked without replacement from coaoea.\n' | b'1/15\n' | deepmind/math_dataset |
b'Simplify (f**(-8)/f*f/(f**31*f)*(f**(-3/14))**(-15))**(1/6) assuming f is positive.\n' | b'f**(-515/84)\n' | b'Simplify (f**(-8)/f*f/(f**31*f)*(f**(-3/14))**(-15))**(1/6) assuming f is positive.\n' | b'f**(-515/84)\n' | deepmind/math_dataset |
b'Let g(i) = 7*i**3 + 14*i**2 - 4*i + 19. Let n(j) = 12*j**3 + 26*j**2 - 7*j + 38. Let c(v) = -7*g(v) + 4*n(v). Determine c(6).\n' | b'19\n' | b'Let g(i) = 7*i**3 + 14*i**2 - 4*i + 19. Let n(j) = 12*j**3 + 26*j**2 - 7*j + 38. Let c(v) = -7*g(v) + 4*n(v). Determine c(6).\n' | b'19\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {a: 1, q: 1, p: 1, w: 2, k: 1, d: 2}. What is prob of picking 1 p and 1 d?\n' | b'1/14\n' | b'Two letters picked without replacement from {a: 1, q: 1, p: 1, w: 2, k: 1, d: 2}. What is prob of picking 1 p and 1 d?\n' | b'1/14\n' | deepmind/math_dataset |
b'Simplify (d*d**2/d)**(-3/14)/(d**(-13))**(9/4) assuming d is positive.\n' | b'd**(807/28)\n' | b'Simplify (d*d**2/d)**(-3/14)/(d**(-13))**(9/4) assuming d is positive.\n' | b'd**(807/28)\n' | deepmind/math_dataset |
b'Suppose 48*b - 20 = 38*b. Solve 3*j - 3*z = b*j - 14, 0 = 2*j - z + 3 for j.\n' | b'1\n' | b'Suppose 48*b - 20 = 38*b. Solve 3*j - 3*z = b*j - 14, 0 = 2*j - z + 3 for j.\n' | b'1\n' | deepmind/math_dataset |
b'Find the third derivative of 3*a**2 + 2*a**3 - 2*a**3 + a**2 + 5*a**4 wrt a.\n' | b'120*a\n' | b'Find the third derivative of 3*a**2 + 2*a**3 - 2*a**3 + a**2 + 5*a**4 wrt a.\n' | b'120*a\n' | deepmind/math_dataset |
b'What is prob of picking 1 e and 1 y when two letters picked without replacement from {p: 6, e: 1, y: 7}?\n' | b'1/13\n' | b'What is prob of picking 1 e and 1 y when two letters picked without replacement from {p: 6, e: 1, y: 7}?\n' | b'1/13\n' | deepmind/math_dataset |
b'What is prob of picking 3 a when three letters picked without replacement from {a: 7, k: 5}?\n' | b'7/44\n' | b'What is prob of picking 3 a when three letters picked without replacement from {a: 7, k: 5}?\n' | b'7/44\n' | deepmind/math_dataset |
b'Let j be 1/(4*(-1)/(-20)). Suppose 3*g - j = 43. Solve 0 = -5*i - l - 1 - 14, 0 = -3*i - 2*l - g for i.\n' | b'-2\n' | b'Let j be 1/(4*(-1)/(-20)). Suppose 3*g - j = 43. Solve 0 = -5*i - l - 1 - 14, 0 = -3*i - 2*l - g for i.\n' | b'-2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ddsewdsd. Give prob of sequence ds.\n' | b'1/7\n' | b'Two letters picked without replacement from ddsewdsd. Give prob of sequence ds.\n' | b'1/7\n' | deepmind/math_dataset |
b'Four letters picked without replacement from pjjjpjpjpfpjffffffj. Give prob of sequence fjjj.\n' | b'245/15504\n' | b'Four letters picked without replacement from pjjjpjpjpfpjffffffj. Give prob of sequence fjjj.\n' | b'245/15504\n' | deepmind/math_dataset |
b'Two letters picked without replacement from yygmdyjyydyygn. What is prob of picking 1 g and 1 y?\n' | b'2/13\n' | b'Two letters picked without replacement from yygmdyjyydyygn. What is prob of picking 1 g and 1 y?\n' | b'2/13\n' | deepmind/math_dataset |
b'Let b(m) = m**3 - 8*m**2 + 10*m - 15. Let l(t) = -7*t + 238. Let y be l(33). What is b(y)?\n' | b'6\n' | b'Let b(m) = m**3 - 8*m**2 + 10*m - 15. Let l(t) = -7*t + 238. Let y be l(33). What is b(y)?\n' | b'6\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {w: 5, e: 9, o: 3, l: 1}. What is prob of picking 1 w and 1 e?\n' | b'5/17\n' | b'Two letters picked without replacement from {w: 5, e: 9, o: 3, l: 1}. What is prob of picking 1 w and 1 e?\n' | b'5/17\n' | deepmind/math_dataset |
b'Let x(q) = -q - 5. Let d be x(-6). Suppose d + 79 = 10*m. Solve 2*p - m = j - p, j = p - 6 for j.\n' | b'-5\n' | b'Let x(q) = -q - 5. Let d be x(-6). Suppose d + 79 = 10*m. Solve 2*p - m = j - p, j = p - 6 for j.\n' | b'-5\n' | deepmind/math_dataset |
b'Let k(i) = 8*i**2 + 35*i - 133. Let z(g) = -g**2 - 5*g + 19. Let q(m) = 2*k(m) + 15*z(m). Give q(10).\n' | b'69\n' | b'Let k(i) = 8*i**2 + 35*i - 133. Let z(g) = -g**2 - 5*g + 19. Let q(m) = 2*k(m) + 15*z(m). Give q(10).\n' | b'69\n' | deepmind/math_dataset |
b'Calculate prob of sequence dip when three letters picked without replacement from {u: 9, i: 4, p: 2, m: 3, d: 1}.\n' | b'4/2907\n' | b'Calculate prob of sequence dip when three letters picked without replacement from {u: 9, i: 4, p: 2, m: 3, d: 1}.\n' | b'4/2907\n' | deepmind/math_dataset |
b'Let p be 6/15*(-980)/56. Let i(s) = -2*s - 10. Determine i(p).\n' | b'4\n' | b'Let p be 6/15*(-980)/56. Let i(s) = -2*s - 10. Determine i(p).\n' | b'4\n' | deepmind/math_dataset |
b'What is prob of sequence jei when three letters picked without replacement from mimjee?\n' | b'1/60\n' | b'What is prob of sequence jei when three letters picked without replacement from mimjee?\n' | b'1/60\n' | deepmind/math_dataset |
b'Let z = -3 - -1. Let o(d) be the third derivative of -d**7/1260 - d**6/720 + d**5/6 - 5*d**2. Let c(t) be the third derivative of o(t). What is c(z)?\n' | b'7\n' | b'Let z = -3 - -1. Let o(d) be the third derivative of -d**7/1260 - d**6/720 + d**5/6 - 5*d**2. Let c(t) be the third derivative of o(t). What is c(z)?\n' | b'7\n' | deepmind/math_dataset |
b'Let b(l) = 9*l**2 + 10*l - 3. Let r(t) = -8*t**2 - 10*t + 4. Let p(k) = 4*b(k) + 3*r(k). Find the second derivative of p(n) wrt n.\n' | b'24\n' | b'Let b(l) = 9*l**2 + 10*l - 3. Let r(t) = -8*t**2 - 10*t + 4. Let p(k) = 4*b(k) + 3*r(k). Find the second derivative of p(n) wrt n.\n' | b'24\n' | deepmind/math_dataset |
b'Let y be 7/3 + 16 + -18. Let v(j) be the third derivative of 0*j + 0 - 1/60*j**5 + j**2 - y*j**3 + 0*j**4. What is the first derivative of v(i) wrt i?\n' | b'-2*i\n' | b'Let y be 7/3 + 16 + -18. Let v(j) be the third derivative of 0*j + 0 - 1/60*j**5 + j**2 - y*j**3 + 0*j**4. What is the first derivative of v(i) wrt i?\n' | b'-2*i\n' | deepmind/math_dataset |
b'Let r(f) = 4*f + 81. Let z(g) = 4*g + 76. Let c(d) = 3*r(d) - 2*z(d). What is c(-24)?\n' | b'-5\n' | b'Let r(f) = 4*f + 81. Let z(g) = 4*g + 76. Let c(d) = 3*r(d) - 2*z(d). What is c(-24)?\n' | b'-5\n' | deepmind/math_dataset |
b'Let o(t) = 4*t - 3*t - 16 + 17. What is o(0)?\n' | b'1\n' | b'Let o(t) = 4*t - 3*t - 16 + 17. What is o(0)?\n' | b'1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from zzsz. What is prob of sequence zsz?\n' | b'1/4\n' | b'Three letters picked without replacement from zzsz. What is prob of sequence zsz?\n' | b'1/4\n' | deepmind/math_dataset |
b'Find the third derivative of -8136*v**2 - 199*v**4 + 4*v**3 + 17286*v**2 - 8061*v**2 wrt v.\n' | b'-4776*v + 24\n' | b'Find the third derivative of -8136*v**2 - 199*v**4 + 4*v**3 + 17286*v**2 - 8061*v**2 wrt v.\n' | b'-4776*v + 24\n' | deepmind/math_dataset |
b'Let g(b) be the first derivative of 0*b**4 - 6 - 1/2*b**6 + 0*b + 0*b**5 + 13/2*b**2 + 0*b**3. What is the second derivative of g(h) wrt h?\n' | b'-60*h**3\n' | b'Let g(b) be the first derivative of 0*b**4 - 6 - 1/2*b**6 + 0*b + 0*b**5 + 13/2*b**2 + 0*b**3. What is the second derivative of g(h) wrt h?\n' | b'-60*h**3\n' | deepmind/math_dataset |
b'Let l(n) = 9*n**3 + 8*n**2 - 2*n + 25. Let t(z) = -5*z**3 - 4*z**2 + z - 13. Let s(b) = 6*l(b) + 11*t(b). Let k be -12*(-17)/34 + 2 + -4. What is s(k)?\n' | b'3\n' | b'Let l(n) = 9*n**3 + 8*n**2 - 2*n + 25. Let t(z) = -5*z**3 - 4*z**2 + z - 13. Let s(b) = 6*l(b) + 11*t(b). Let k be -12*(-17)/34 + 2 + -4. What is s(k)?\n' | b'3\n' | deepmind/math_dataset |
b'What is prob of sequence eeee when four letters picked without replacement from {o: 5, e: 8, m: 2}?\n' | b'2/39\n' | b'What is prob of sequence eeee when four letters picked without replacement from {o: 5, e: 8, m: 2}?\n' | b'2/39\n' | deepmind/math_dataset |
b'Let b(i) = -3201*i**3 + 24*i**2 + 2253*i. Let o(s) = 3199*s**3 - 32*s**2 - 2253*s. Let k(x) = 4*b(x) + 3*o(x). What is the second derivative of k(a) wrt a?\n' | b'-19242*a\n' | b'Let b(i) = -3201*i**3 + 24*i**2 + 2253*i. Let o(s) = 3199*s**3 - 32*s**2 - 2253*s. Let k(x) = 4*b(x) + 3*o(x). What is the second derivative of k(a) wrt a?\n' | b'-19242*a\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {h: 1, t: 2, x: 9, d: 4}. Give prob of sequence txx.\n' | b'3/70\n' | b'Three letters picked without replacement from {h: 1, t: 2, x: 9, d: 4}. Give prob of sequence txx.\n' | b'3/70\n' | deepmind/math_dataset |
b'Simplify ((h/h**(5/11))**(-35)/(h**(-7/2)*h**15))**(-43) assuming h is positive.\n' | b'h**(28939/22)\n' | b'Simplify ((h/h**(5/11))**(-35)/(h**(-7/2)*h**15))**(-43) assuming h is positive.\n' | b'h**(28939/22)\n' | deepmind/math_dataset |
b'Let c(o) = -2*o + 19. Let t be c(8). What is the third derivative of 2*k**2 + 11*k**2 - 19*k**t + 4*k**2 - 7*k**2 wrt k?\n' | b'-114\n' | b'Let c(o) = -2*o + 19. Let t be c(8). What is the third derivative of 2*k**2 + 11*k**2 - 19*k**t + 4*k**2 - 7*k**2 wrt k?\n' | b'-114\n' | deepmind/math_dataset |
b'Simplify (((o*(o*o**1)/o)/o)/(o*o/o**(1/4)))/(o**3/o*o**0)*(((o*(o/o**(-1))/o)/o)**(-49))**(-3/17) assuming o is positive.\n' | b'o**(401/68)\n' | b'Simplify (((o*(o*o**1)/o)/o)/(o*o/o**(1/4)))/(o**3/o*o**0)*(((o*(o/o**(-1))/o)/o)**(-49))**(-3/17) assuming o is positive.\n' | b'o**(401/68)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {p: 1, v: 2, z: 2}. What is prob of picking 1 p and 1 v?\n' | b'1/5\n' | b'Two letters picked without replacement from {p: 1, v: 2, z: 2}. What is prob of picking 1 p and 1 v?\n' | b'1/5\n' | deepmind/math_dataset |
b'What is prob of sequence na when two letters picked without replacement from {n: 2, q: 8, a: 5}?\n' | b'1/21\n' | b'What is prob of sequence na when two letters picked without replacement from {n: 2, q: 8, a: 5}?\n' | b'1/21\n' | deepmind/math_dataset |
b'What is prob of picking 1 o and 1 y when two letters picked without replacement from yyoyyyyyoyyoyyyy?\n' | b'13/40\n' | b'What is prob of picking 1 o and 1 y when two letters picked without replacement from yyoyyyyyoyyoyyyy?\n' | b'13/40\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 t and 2 j when four letters picked without replacement from {t: 3, j: 6, z: 4, s: 1}.\n' | b'45/1001\n' | b'Calculate prob of picking 2 t and 2 j when four letters picked without replacement from {t: 3, j: 6, z: 4, s: 1}.\n' | b'45/1001\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 z and 1 w when three letters picked without replacement from zwzzzwzzzzzz.\n' | b'9/22\n' | b'Calculate prob of picking 2 z and 1 w when three letters picked without replacement from zwzzzwzzzzzz.\n' | b'9/22\n' | deepmind/math_dataset |
b'Let j(h) = 2*h + 2*h**2 + 0 + h**3 - 2*h + 4*h + 2. Let z be -2 + (3 + -3)/(-4). Determine j(z).\n' | b'-6\n' | b'Let j(h) = 2*h + 2*h**2 + 0 + h**3 - 2*h + 4*h + 2. Let z be -2 + (3 + -3)/(-4). Determine j(z).\n' | b'-6\n' | deepmind/math_dataset |
b'Simplify (((r/(r*r**(5/4)))/r)**(-31)*(r*r**(-16/9))/(r*r**(-5/4)))**15 assuming r is positive.\n' | b'r**(3115/3)\n' | b'Simplify (((r/(r*r**(5/4)))/r)**(-31)*(r*r**(-16/9))/(r*r**(-5/4)))**15 assuming r is positive.\n' | b'r**(3115/3)\n' | deepmind/math_dataset |
b'Calculate prob of sequence ot when two letters picked without replacement from oooooottoootoootto.\n' | b'65/306\n' | b'Calculate prob of sequence ot when two letters picked without replacement from oooooottoootoootto.\n' | b'65/306\n' | deepmind/math_dataset |
b'Let v(t) = -t**2 - 11*t - 13. Let p be v(-8). Solve p = -5*g + 2*i, 2*g - 4 = 3*i + 2*i for g.\n' | b'-3\n' | b'Let v(t) = -t**2 - 11*t - 13. Let p be v(-8). Solve p = -5*g + 2*i, 2*g - 4 = 3*i + 2*i for g.\n' | b'-3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from hjiuuixujji. Give prob of picking 2 j and 1 h.\n' | b'1/55\n' | b'Three letters picked without replacement from hjiuuixujji. Give prob of picking 2 j and 1 h.\n' | b'1/55\n' | deepmind/math_dataset |
b'Two letters picked without replacement from qlqlqqqqlq. Give prob of sequence qq.\n' | b'7/15\n' | b'Two letters picked without replacement from qlqlqqqqlq. Give prob of sequence qq.\n' | b'7/15\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 u when three letters picked without replacement from {u: 11, q: 8, p: 1}.\n' | b'11/76\n' | b'Calculate prob of picking 3 u when three letters picked without replacement from {u: 11, q: 8, p: 1}.\n' | b'11/76\n' | deepmind/math_dataset |
b'Four letters picked without replacement from vpjpvxpppxpjhpppprp. Give prob of picking 2 j, 1 x, and 1 p.\n' | b'11/1938\n' | b'Four letters picked without replacement from vpjpvxpppxpjhpppprp. Give prob of picking 2 j, 1 x, and 1 p.\n' | b'11/1938\n' | deepmind/math_dataset |
b'Two letters picked without replacement from qmbbbmmmmmqmsbv. What is prob of picking 1 b and 1 q?\n' | b'8/105\n' | b'Two letters picked without replacement from qmbbbmmmmmqmsbv. What is prob of picking 1 b and 1 q?\n' | b'8/105\n' | deepmind/math_dataset |
b'Let z = 7139 - 7136. Let k(v) be the first derivative of 0*v + 6*v**4 + 23 + 26/3*v**z + 0*v**2. Find the third derivative of k(q) wrt q.\n' | b'144\n' | b'Let z = 7139 - 7136. Let k(v) be the first derivative of 0*v + 6*v**4 + 23 + 26/3*v**z + 0*v**2. Find the third derivative of k(q) wrt q.\n' | b'144\n' | deepmind/math_dataset |
b'Let y(h) be the first derivative of 4*h**4 - 56*h**3/3 - 55. What is the third derivative of y(u) wrt u?\n' | b'96\n' | b'Let y(h) be the first derivative of 4*h**4 - 56*h**3/3 - 55. What is the third derivative of y(u) wrt u?\n' | b'96\n' | deepmind/math_dataset |
b'Simplify (((j/(j*j/(j/(j**16/j*j)))*j)/j**(3/5))/(j**(9/7)*j**12))**(2/163) assuming j is positive.\n' | b'j**(-2022/5705)\n' | b'Simplify (((j/(j*j/(j/(j**16/j*j)))*j)/j**(3/5))/(j**(9/7)*j**12))**(2/163) assuming j is positive.\n' | b'j**(-2022/5705)\n' | deepmind/math_dataset |
b'Let h be 356/(2 - 0) - (-1 - 3). Suppose 9*y = -38 + h. Solve -2*a + a = 4*z - 8, 4*a = -y for z.\n' | b'3\n' | b'Let h be 356/(2 - 0) - (-1 - 3). Suppose 9*y = -38 + h. Solve -2*a + a = 4*z - 8, 4*a = -y for z.\n' | b'3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from dtctcccfdfddcaftic. Give prob of sequence ia.\n' | b'1/306\n' | b'Two letters picked without replacement from dtctcccfdfddcaftic. Give prob of sequence ia.\n' | b'1/306\n' | deepmind/math_dataset |
b'Suppose 4*c - 41 = -13. What is the second derivative of c + 5*b + 4 - 3*b**5 - 11 wrt b?\n' | b'-60*b**3\n' | b'Suppose 4*c - 41 = -13. What is the second derivative of c + 5*b + 4 - 3*b**5 - 11 wrt b?\n' | b'-60*b**3\n' | deepmind/math_dataset |
b'Let t(p) be the first derivative of -p**4/4 - 2*p**3 + 3*p**2 - 24*p + 5079. Calculate t(-7).\n' | b'-17\n' | b'Let t(p) be the first derivative of -p**4/4 - 2*p**3 + 3*p**2 - 24*p + 5079. Calculate t(-7).\n' | b'-17\n' | deepmind/math_dataset |
b'What is prob of sequence yl when two letters picked without replacement from yddldylddlyydlyd?\n' | b'1/12\n' | b'What is prob of sequence yl when two letters picked without replacement from yddldylddlyydlyd?\n' | b'1/12\n' | deepmind/math_dataset |
b'Let w be (100/(-175))/(2/(-14)). Let g(r) be the third derivative of 0 - 1/24*r**w + 5/6*r**3 - 8*r**2 + 0*r. Find the first derivative of g(b) wrt b.\n' | b'-1\n' | b'Let w be (100/(-175))/(2/(-14)). Let g(r) be the third derivative of 0 - 1/24*r**w + 5/6*r**3 - 8*r**2 + 0*r. Find the first derivative of g(b) wrt b.\n' | b'-1\n' | deepmind/math_dataset |
b'Let n(g) be the third derivative of -g**5/15 + g**4/24 - g**3/6 - 2*g**2. Give n(1).\n' | b'-4\n' | b'Let n(g) be the third derivative of -g**5/15 + g**4/24 - g**3/6 - 2*g**2. Give n(1).\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose 5*l = -0 + 15. Let f(r) = 3*r - 5*r + 0*r + 3*r. Let x(z) = -z - 1. Let k(i) = l*x(i) + 4*f(i). Determine k(4).\n' | b'1\n' | b'Suppose 5*l = -0 + 15. Let f(r) = 3*r - 5*r + 0*r + 3*r. Let x(z) = -z - 1. Let k(i) = l*x(i) + 4*f(i). Determine k(4).\n' | b'1\n' | deepmind/math_dataset |
b'Let f(i) = -119*i**2 - 30*i - 54. Let w(y) = -278*y**2 - 61*y - 108. Let g(q) = -7*f(q) + 3*w(q). Determine g(28).\n' | b'26\n' | b'Let f(i) = -119*i**2 - 30*i - 54. Let w(y) = -278*y**2 - 61*y - 108. Let g(q) = -7*f(q) + 3*w(q). Determine g(28).\n' | b'26\n' | deepmind/math_dataset |
b'Suppose -5*d + 3*d = -6. Solve s + 15 = -4*s - 5*v, -2*s - d = -v for s.\n' | b'-2\n' | b'Suppose -5*d + 3*d = -6. Solve s + 15 = -4*s - 5*v, -2*s - d = -v for s.\n' | b'-2\n' | deepmind/math_dataset |
b'Let n(t) = -85*t**2 - 6*t - 40. Let s(u) = u + 4. Let m(h) = 16*h**2 + 1. Let k be m(0). Let r(w) = k*n(w) + 6*s(w). What is the first derivative of r(b) wrt b?\n' | b'-170*b\n' | b'Let n(t) = -85*t**2 - 6*t - 40. Let s(u) = u + 4. Let m(h) = 16*h**2 + 1. Let k be m(0). Let r(w) = k*n(w) + 6*s(w). What is the first derivative of r(b) wrt b?\n' | b'-170*b\n' | deepmind/math_dataset |
b'Calculate prob of sequence rq when two letters picked without replacement from {q: 3, r: 1, a: 4, d: 5}.\n' | b'1/52\n' | b'Calculate prob of sequence rq when two letters picked without replacement from {q: 3, r: 1, a: 4, d: 5}.\n' | b'1/52\n' | deepmind/math_dataset |
b'Let t = -143 + 143. Let b(w) = -2*w**2 + 17 + 6*w**2 + t*w**2 - 14 + 2*w. Calculate b(-2).\n' | b'15\n' | b'Let t = -143 + 143. Let b(w) = -2*w**2 + 17 + 6*w**2 + t*w**2 - 14 + 2*w. Calculate b(-2).\n' | b'15\n' | deepmind/math_dataset |
b'Simplify (((s**(2/3)*s)/s*s**(-7)/s*s*s)/(s**(-2/9)/s*s*s/(s*s**(-4))))/(s**5*s**(3/7)*(s*s**(-1))**(-21)) assuming s is positive.\n' | b's**(-916/63)\n' | b'Simplify (((s**(2/3)*s)/s*s**(-7)/s*s*s)/(s**(-2/9)/s*s*s/(s*s**(-4))))/(s**5*s**(3/7)*(s*s**(-1))**(-21)) assuming s is positive.\n' | b's**(-916/63)\n' | deepmind/math_dataset |
b'Let t(i) be the second derivative of -1/6*i**3 + 0*i**4 + 2*i + 0 + 1/10*i**5 + 0*i**2. Find the second derivative of t(n) wrt n.\n' | b'12*n\n' | b'Let t(i) be the second derivative of -1/6*i**3 + 0*i**4 + 2*i + 0 + 1/10*i**5 + 0*i**2. Find the second derivative of t(n) wrt n.\n' | b'12*n\n' | deepmind/math_dataset |
b'Let t(y) = -y**2 + y**2 + 4 + y + y**3. Let c(p) = -3*p - 1. Let h be c(-1). Suppose -q = h*q. What is t(q)?\n' | b'4\n' | b'Let t(y) = -y**2 + y**2 + 4 + y + y**3. Let c(p) = -3*p - 1. Let h be c(-1). Suppose -q = h*q. What is t(q)?\n' | b'4\n' | deepmind/math_dataset |
b'Simplify ((g/g**2)/(g**(-2/3)*g))/(g**(-6)*g*g**4)*(g**(-3)/(g/(g/g**(-5/6))))**(-5/6) assuming g is positive.\n' | b'g**(53/36)\n' | b'Simplify ((g/g**2)/(g**(-2/3)*g))/(g**(-6)*g*g**4)*(g**(-3)/(g/(g/g**(-5/6))))**(-5/6) assuming g is positive.\n' | b'g**(53/36)\n' | deepmind/math_dataset |
b'Let z be (1 + 0 - 0)/(2/8). Let i(b) = -8*b - 4 + z*b + b**2 - 2*b**2. Give i(-4).\n' | b'-4\n' | b'Let z be (1 + 0 - 0)/(2/8). Let i(b) = -8*b - 4 + z*b + b**2 - 2*b**2. Give i(-4).\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify (m**(-2/7))**46/(m*m**(4/13))**10 assuming m is positive.\n' | b'm**(-2386/91)\n' | b'Simplify (m**(-2/7))**46/(m*m**(4/13))**10 assuming m is positive.\n' | b'm**(-2386/91)\n' | deepmind/math_dataset |
b'Let c be ((-4)/(-2 + 1))/((-4)/(-8)). Suppose -38 = 15*s - c. Let w(n) = -n**3 - n**2 + 2*n + 2. Determine w(s).\n' | b'2\n' | b'Let c be ((-4)/(-2 + 1))/((-4)/(-8)). Suppose -38 = 15*s - c. Let w(n) = -n**3 - n**2 + 2*n + 2. Determine w(s).\n' | b'2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {t: 1, w: 1, q: 1, a: 2, s: 2}. Give prob of picking 2 s and 2 a.\n' | b'1/35\n' | b'Four letters picked without replacement from {t: 1, w: 1, q: 1, a: 2, s: 2}. Give prob of picking 2 s and 2 a.\n' | b'1/35\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {o: 1, n: 2, a: 1, y: 5}. What is prob of sequence yyoy?\n' | b'5/252\n' | b'Four letters picked without replacement from {o: 1, n: 2, a: 1, y: 5}. What is prob of sequence yyoy?\n' | b'5/252\n' | deepmind/math_dataset |
b'Simplify ((p*p**(-8))/p*p**(1/5)*p*((p/(p*p*p**(-7/5)))/p)**(-11))**24 assuming p is positive.\n' | b'p**(-24/5)\n' | b'Simplify ((p*p**(-8))/p*p**(1/5)*p*((p/(p*p*p**(-7/5)))/p)**(-11))**24 assuming p is positive.\n' | b'p**(-24/5)\n' | deepmind/math_dataset |
b'Let s(u) = -u**2 - 3. Suppose 5*y - y + 64 = 3*g, -2*y + 72 = 5*g. Suppose 0 = -2*b + 6*b + g. Determine s(b).\n' | b'-19\n' | b'Let s(u) = -u**2 - 3. Suppose 5*y - y + 64 = 3*g, -2*y + 72 = 5*g. Suppose 0 = -2*b + 6*b + g. Determine s(b).\n' | b'-19\n' | deepmind/math_dataset |
b'Let p be (150/1125)/((-8)/(-420)). Solve 5*q + 17 = 4*w, -2*q - p*w = -5*w + 14 for q.\n' | b'-5\n' | b'Let p be (150/1125)/((-8)/(-420)). Solve 5*q + 17 = 4*w, -2*q - p*w = -5*w + 14 for q.\n' | b'-5\n' | deepmind/math_dataset |
b'What is prob of sequence tttt when four letters picked without replacement from {s: 7, t: 5, c: 3, u: 1}?\n' | b'1/364\n' | b'What is prob of sequence tttt when four letters picked without replacement from {s: 7, t: 5, c: 3, u: 1}?\n' | b'1/364\n' | deepmind/math_dataset |
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