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'Find the third derivative of -639*m**4 - 1430*m**4 + m**2 - 11*m**3 - 4*m**2 + 11*m**3 - 39 wrt m.\n' | b'-49656*m\n' | b'Find the third derivative of -639*m**4 - 1430*m**4 + m**2 - 11*m**3 - 4*m**2 + 11*m**3 - 39 wrt m.\n' | b'-49656*m\n' | deepmind/math_dataset |
b'Two letters picked without replacement from lzwcbbcwr. What is prob of sequence wb?\n' | b'1/18\n' | b'Two letters picked without replacement from lzwcbbcwr. What is prob of sequence wb?\n' | b'1/18\n' | deepmind/math_dataset |
b'Suppose 0*c - 14 = -2*c + 5*s, -s = 4*c - 6. Solve -3*t - 4 = 4*g - 1, -5*g - 21 = -c*t for t.\n' | b'3\n' | b'Suppose 0*c - 14 = -2*c + 5*s, -s = 4*c - 6. Solve -3*t - 4 = 4*g - 1, -5*g - 21 = -c*t for t.\n' | b'3\n' | deepmind/math_dataset |
b'Find the first derivative of -6*r**2 + 6*r**2 - 121 - 7*r**2 + 18 + r wrt r.\n' | b'-14*r + 1\n' | b'Find the first derivative of -6*r**2 + 6*r**2 - 121 - 7*r**2 + 18 + r wrt r.\n' | b'-14*r + 1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from mqqmmqmqmmff. Give prob of picking 1 q and 1 m.\n' | b'4/11\n' | b'Two letters picked without replacement from mqqmmqmqmmff. Give prob of picking 1 q and 1 m.\n' | b'4/11\n' | deepmind/math_dataset |
b'Simplify b**(-2/23)/(b**(-13)*b)*b**38*b**(-21) assuming b is positive.\n' | b'b**(665/23)\n' | b'Simplify b**(-2/23)/(b**(-13)*b)*b**38*b**(-21) assuming b is positive.\n' | b'b**(665/23)\n' | deepmind/math_dataset |
b'Suppose 72063*h - 76 = 72025*h. Solve -h*q + 5*v = 22, -5*v - 119 = -3*q - 142 for q.\n' | b'-1\n' | b'Suppose 72063*h - 76 = 72025*h. Solve -h*q + 5*v = 22, -5*v - 119 = -3*q - 142 for q.\n' | b'-1\n' | deepmind/math_dataset |
b'Suppose 15 = 3*h - 4*u, 0*h + 5*h - 4*u = 25. Solve -g - 8 = 5*j, j = -3*g + 9 - h for j.\n' | b'-2\n' | b'Suppose 15 = 3*h - 4*u, 0*h + 5*h - 4*u = 25. Solve -g - 8 = 5*j, j = -3*g + 9 - h for j.\n' | b'-2\n' | deepmind/math_dataset |
b'What is prob of picking 3 o when three letters picked without replacement from ooopooooooooopoooopo?\n' | b'34/57\n' | b'What is prob of picking 3 o when three letters picked without replacement from ooopooooooooopoooopo?\n' | b'34/57\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {i: 3, f: 4, d: 2, x: 6, m: 1}. Give prob of sequence mf.\n' | b'1/60\n' | b'Two letters picked without replacement from {i: 3, f: 4, d: 2, x: 6, m: 1}. Give prob of sequence mf.\n' | b'1/60\n' | deepmind/math_dataset |
b'Calculate prob of sequence nv when two letters picked without replacement from {t: 3, n: 1, v: 4}.\n' | b'1/14\n' | b'Calculate prob of sequence nv when two letters picked without replacement from {t: 3, n: 1, v: 4}.\n' | b'1/14\n' | deepmind/math_dataset |
b'What is prob of picking 1 i and 3 l when four letters picked without replacement from {i: 3, l: 13}?\n' | b'33/70\n' | b'What is prob of picking 1 i and 3 l when four letters picked without replacement from {i: 3, l: 13}?\n' | b'33/70\n' | deepmind/math_dataset |
b'Suppose -4*x = 1 - 9. Suppose -q = -5*m - 28, -x*q = 5*m - 5*q + 24. Let r(s) = -s**2 - 5*s + 2. Give r(m).\n' | b'-4\n' | b'Suppose -4*x = 1 - 9. Suppose -q = -5*m - 28, -x*q = 5*m - 5*q + 24. Let r(s) = -s**2 - 5*s + 2. Give r(m).\n' | b'-4\n' | deepmind/math_dataset |
b'Let s = 19 + -7. Solve 5*r + 2*i + 6 = -0*r, -3*i = -3*r - s for r.\n' | b'-2\n' | b'Let s = 19 + -7. Solve 5*r + 2*i + 6 = -0*r, -3*i = -3*r - s for r.\n' | b'-2\n' | deepmind/math_dataset |
b'Let u(c) = -21*c**2 - 2*c + 5. Let s(r) = r + 1. Let a(g) = -5*s(g) + u(g). What is the second derivative of a(y) wrt y?\n' | b'-42\n' | b'Let u(c) = -21*c**2 - 2*c + 5. Let s(r) = r + 1. Let a(g) = -5*s(g) + u(g). What is the second derivative of a(y) wrt y?\n' | b'-42\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {y: 2, d: 9}. What is prob of picking 4 d?\n' | b'21/55\n' | b'Four letters picked without replacement from {y: 2, d: 9}. What is prob of picking 4 d?\n' | b'21/55\n' | deepmind/math_dataset |
b'Four letters picked without replacement from onsnsg. Give prob of sequence nong.\n' | b'1/180\n' | b'Four letters picked without replacement from onsnsg. Give prob of sequence nong.\n' | b'1/180\n' | deepmind/math_dataset |
b'Let l(p) be the first derivative of p**4/2 - 15*p**2/2 + 16. Find the second derivative of l(b) wrt b.\n' | b'12*b\n' | b'Let l(p) be the first derivative of p**4/2 - 15*p**2/2 + 16. Find the second derivative of l(b) wrt b.\n' | b'12*b\n' | deepmind/math_dataset |
b'Simplify (a**(-4)*a*a/(a*a**(-11)))/(((a/a**(-1/9))/a)/(a*a*a*a/a**(-4))) assuming a is positive.\n' | b'a**(143/9)\n' | b'Simplify (a**(-4)*a*a/(a*a**(-11)))/(((a/a**(-1/9))/a)/(a*a*a*a/a**(-4))) assuming a is positive.\n' | b'a**(143/9)\n' | deepmind/math_dataset |
b'Suppose 4*b = b - 18. Let w(u) = 2. Let t(p) = p - 6. Let k(q) = -t(q) - 5*w(q). What is k(b)?\n' | b'2\n' | b'Suppose 4*b = b - 18. Let w(u) = 2. Let t(p) = p - 6. Let k(q) = -t(q) - 5*w(q). What is k(b)?\n' | b'2\n' | deepmind/math_dataset |
b'Let r(t) = -16*t**2 - t. Suppose m + 0*v = -5*v - 21, 2*m - 5*v = 18. Give r(m).\n' | b'-15\n' | b'Let r(t) = -16*t**2 - t. Suppose m + 0*v = -5*v - 21, 2*m - 5*v = 18. Give r(m).\n' | b'-15\n' | deepmind/math_dataset |
b'Let l(x) = -2*x + 4. Suppose 3*k + 34 + 8 = 0. Let u = -12 - -19. Let n be (1 - -9)*u/k. Give l(n).\n' | b'14\n' | b'Let l(x) = -2*x + 4. Suppose 3*k + 34 + 8 = 0. Let u = -12 - -19. Let n be (1 - -9)*u/k. Give l(n).\n' | b'14\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 i and 1 t when two letters picked without replacement from iitiiiiiiiiiiii.\n' | b'2/15\n' | b'Calculate prob of picking 1 i and 1 t when two letters picked without replacement from iitiiiiiiiiiiii.\n' | b'2/15\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {w: 1, m: 2, a: 1, k: 2, i: 1, n: 2}. Give prob of sequence ikn.\n' | b'1/126\n' | b'Three letters picked without replacement from {w: 1, m: 2, a: 1, k: 2, i: 1, n: 2}. Give prob of sequence ikn.\n' | b'1/126\n' | deepmind/math_dataset |
b'Three letters picked without replacement from lliwlliwwwyill. Give prob of picking 1 i, 1 y, and 1 w.\n' | b'3/91\n' | b'Three letters picked without replacement from lliwlliwwwyill. Give prob of picking 1 i, 1 y, and 1 w.\n' | b'3/91\n' | deepmind/math_dataset |
b'Let s = -21 - -28. Let g(m) = m**3 - 8*m**2 + 6*m + 3. Calculate g(s).\n' | b'-4\n' | b'Let s = -21 - -28. Let g(m) = m**3 - 8*m**2 + 6*m + 3. Calculate g(s).\n' | b'-4\n' | deepmind/math_dataset |
b'Let l(v) = -v + 1. Let w be ((32/(-12))/4)/((-1)/87). Let f = w - 62. Give l(f).\n' | b'5\n' | b'Let l(v) = -v + 1. Let w be ((32/(-12))/4)/((-1)/87). Let f = w - 62. Give l(f).\n' | b'5\n' | deepmind/math_dataset |
b'Suppose 3*i = b - 1755, i = 4*b + b - 8733. Differentiate -1785 + b - 6*r - 76*r wrt r.\n' | b'-82\n' | b'Suppose 3*i = b - 1755, i = 4*b + b - 8733. Differentiate -1785 + b - 6*r - 76*r wrt r.\n' | b'-82\n' | deepmind/math_dataset |
b'Simplify (m**(-11)/m**(-10))**(6/7)/(m*m/m**7*m/((m/m**(1/5))/m))**(-2/63) assuming m is positive.\n' | b'm**(-44/45)\n' | b'Simplify (m**(-11)/m**(-10))**(6/7)/(m*m/m**7*m/((m/m**(1/5))/m))**(-2/63) assuming m is positive.\n' | b'm**(-44/45)\n' | deepmind/math_dataset |
b'Simplify b/b**16*b*b**(-16)*(b/b**(-3/2))/(b**(-5/3)/b) assuming b is positive.\n' | b'b**(-149/6)\n' | b'Simplify b/b**16*b*b**(-16)*(b/b**(-3/2))/(b**(-5/3)/b) assuming b is positive.\n' | b'b**(-149/6)\n' | deepmind/math_dataset |
b'Let a = 16 + -30. Let d = 42 + a. Find the second derivative of 13*z**4 - 6*z + 47*z**3 - 19*z**3 - d*z**3 wrt z.\n' | b'156*z**2\n' | b'Let a = 16 + -30. Let d = 42 + a. Find the second derivative of 13*z**4 - 6*z + 47*z**3 - 19*z**3 - d*z**3 wrt z.\n' | b'156*z**2\n' | deepmind/math_dataset |
b'Suppose 12*c - 79*c = 0. Solve -2*p - x = -2, c = -70*x + 71*x - 2 for p.\n' | b'0\n' | b'Suppose 12*c - 79*c = 0. Solve -2*p - x = -2, c = -70*x + 71*x - 2 for p.\n' | b'0\n' | deepmind/math_dataset |
b'Let n = 514 - 514. Let v(a) be the second derivative of -7*a + 0 + 2/3*a**4 + n*a**2 + 7/6*a**3. Find the second derivative of v(m) wrt m.\n' | b'16\n' | b'Let n = 514 - 514. Let v(a) be the second derivative of -7*a + 0 + 2/3*a**4 + n*a**2 + 7/6*a**3. Find the second derivative of v(m) wrt m.\n' | b'16\n' | deepmind/math_dataset |
b'Simplify (((h**(-1/2))**(-31))**(-3/4))**(-20/7) assuming h is positive.\n' | b'h**(465/14)\n' | b'Simplify (((h**(-1/2))**(-31))**(-3/4))**(-20/7) assuming h is positive.\n' | b'h**(465/14)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {w: 12, q: 5, a: 1}. Give prob of sequence wwa.\n' | b'11/408\n' | b'Three letters picked without replacement from {w: 12, q: 5, a: 1}. Give prob of sequence wwa.\n' | b'11/408\n' | deepmind/math_dataset |
b'Simplify g*g*g**44*g*g*(((g/(g*g**(-19))*g)/g*g)/g)/g*g*g assuming g is positive.\n' | b'g**68\n' | b'Simplify g*g*g**44*g*g*(((g/(g*g**(-19))*g)/g*g)/g)/g*g*g assuming g is positive.\n' | b'g**68\n' | deepmind/math_dataset |
b'Let z(i) be the second derivative of 7/2*i**2 + 0 + 1/6*i**3 - 2*i. What is z(-5)?\n' | b'2\n' | b'Let z(i) be the second derivative of 7/2*i**2 + 0 + 1/6*i**3 - 2*i. What is z(-5)?\n' | b'2\n' | deepmind/math_dataset |
b'Simplify ((o**(-11)/((o/(o*o/(o**(-1/10)*o))*o)/o*o))/(o/(o/o**(-3))*o)**10)**(-48) assuming o is positive.\n' | b'o**(-1944/5)\n' | b'Simplify ((o**(-11)/((o/(o*o/(o**(-1/10)*o))*o)/o*o))/(o/(o/o**(-3))*o)**10)**(-48) assuming o is positive.\n' | b'o**(-1944/5)\n' | deepmind/math_dataset |
b'Let h(b) = b**2 + 9*b + 2. Suppose -5*v - 49 = -9. Determine h(v).\n' | b'-6\n' | b'Let h(b) = b**2 + 9*b + 2. Suppose -5*v - 49 = -9. Determine h(v).\n' | b'-6\n' | deepmind/math_dataset |
b'Two letters picked without replacement from jrsmbrrmr. What is prob of sequence rr?\n' | b'1/6\n' | b'Two letters picked without replacement from jrsmbrrmr. What is prob of sequence rr?\n' | b'1/6\n' | deepmind/math_dataset |
b'Calculate prob of sequence re when two letters picked without replacement from jjjtrjtej.\n' | b'1/72\n' | b'Calculate prob of sequence re when two letters picked without replacement from jjjtrjtej.\n' | b'1/72\n' | deepmind/math_dataset |
b'Find the second derivative of 10*o**4 + 509*o**5 - 495*o**5 + 5*o + 32*o wrt o.\n' | b'280*o**3 + 120*o**2\n' | b'Find the second derivative of 10*o**4 + 509*o**5 - 495*o**5 + 5*o + 32*o wrt o.\n' | b'280*o**3 + 120*o**2\n' | deepmind/math_dataset |
b'Calculate prob of sequence eb when two letters picked without replacement from booooooooeoeoo.\n' | b'1/91\n' | b'Calculate prob of sequence eb when two letters picked without replacement from booooooooeoeoo.\n' | b'1/91\n' | deepmind/math_dataset |
b'Let d(s) = s**2 - 1. Let k be ((-3)/(-2))/(4/(-8)). Let h(r) = -10*r**2 - r + 3. Let q(x) = k*d(x) - h(x). Determine q(1).\n' | b'8\n' | b'Let d(s) = s**2 - 1. Let k be ((-3)/(-2))/(4/(-8)). Let h(r) = -10*r**2 - r + 3. Let q(x) = k*d(x) - h(x). Determine q(1).\n' | b'8\n' | deepmind/math_dataset |
b'Suppose -3*r + 12 = 2*b, 0 = -5*r - 5*b + 3*b + 20. Suppose 2*d = -2*j + r, -4*j - 18*d + 19*d - 2 = 0. Solve -2*i + j*t - t = -9, 2*i - 15 = -3*t for i.\n' | b'3\n' | b'Suppose -3*r + 12 = 2*b, 0 = -5*r - 5*b + 3*b + 20. Suppose 2*d = -2*j + r, -4*j - 18*d + 19*d - 2 = 0. Solve -2*i + j*t - t = -9, 2*i - 15 = -3*t for i.\n' | b'3\n' | deepmind/math_dataset |
b'What is prob of picking 2 w and 2 c when four letters picked without replacement from {c: 13, w: 3}?\n' | b'9/70\n' | b'What is prob of picking 2 w and 2 c when four letters picked without replacement from {c: 13, w: 3}?\n' | b'9/70\n' | deepmind/math_dataset |
b'Let p(q) = -q + 10. Let r be (-4)/14 - (-130)/14. Calculate p(r).\n' | b'1\n' | b'Let p(q) = -q + 10. Let r be (-4)/14 - (-130)/14. Calculate p(r).\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of sequence gg when two letters picked without replacement from {s: 1, e: 1, g: 5, j: 3, h: 5}.\n' | b'2/21\n' | b'Calculate prob of sequence gg when two letters picked without replacement from {s: 1, e: 1, g: 5, j: 3, h: 5}.\n' | b'2/21\n' | deepmind/math_dataset |
b'Simplify (a*a**(1/10)*a*a**(-2/21))**(14/11)*((((a*(a**(-2/13)/a)/a)/a)/a)**(-32))**(1/14) assuming a is positive.\n' | b'a**(146551/15015)\n' | b'Simplify (a*a**(1/10)*a*a**(-2/21))**(14/11)*((((a*(a**(-2/13)/a)/a)/a)/a)**(-32))**(1/14) assuming a is positive.\n' | b'a**(146551/15015)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {v: 2, j: 1, i: 1, k: 1, u: 1, d: 2}. What is prob of picking 1 v, 1 d, and 1 u?\n' | b'1/14\n' | b'Three letters picked without replacement from {v: 2, j: 1, i: 1, k: 1, u: 1, d: 2}. What is prob of picking 1 v, 1 d, and 1 u?\n' | b'1/14\n' | deepmind/math_dataset |
b'Suppose -2*r = 17 - 23. Solve -4*t + 3*t = 4, -20 = r*c + 5*t for c.\n' | b'0\n' | b'Suppose -2*r = 17 - 23. Solve -4*t + 3*t = 4, -20 = r*c + 5*t for c.\n' | b'0\n' | deepmind/math_dataset |
b'Let j = 60 + -57. Differentiate -11*f**3 + 5*f**3 + 6*f**3 - 16 + 9*f**j wrt f.\n' | b'27*f**2\n' | b'Let j = 60 + -57. Differentiate -11*f**3 + 5*f**3 + 6*f**3 - 16 + 9*f**j wrt f.\n' | b'27*f**2\n' | deepmind/math_dataset |
b'Simplify (j*j**21/j*j*j**(-5))**(2/19) assuming j is positive.\n' | b'j**(34/19)\n' | b'Simplify (j*j**21/j*j*j**(-5))**(2/19) assuming j is positive.\n' | b'j**(34/19)\n' | deepmind/math_dataset |
b'Let s(d) = d**2 - 13*d + 14. Let n be 3 + (-8)/(64/(-72)). Calculate s(n).\n' | b'2\n' | b'Let s(d) = d**2 - 13*d + 14. Let n be 3 + (-8)/(64/(-72)). Calculate s(n).\n' | b'2\n' | deepmind/math_dataset |
b'Let g(f) = -2*f - 23. Let c be g(-14). Let m(w) = 2*w**2 - 2*w - 24. Let x be m(-5). Let d = x - 26. Solve -j = q, -c*j + d = -10 for q.\n' | b'-4\n' | b'Let g(f) = -2*f - 23. Let c be g(-14). Let m(w) = 2*w**2 - 2*w - 24. Let x be m(-5). Let d = x - 26. Solve -j = q, -c*j + d = -10 for q.\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose 0 = -d - 5*u - 20, 4*d - 269*u = -271*u + 10. Solve 7 = 2*f + b, d*f - 17 = 63*b - 65*b for f.\n' | b'3\n' | b'Suppose 0 = -d - 5*u - 20, 4*d - 269*u = -271*u + 10. Solve 7 = 2*f + b, d*f - 17 = 63*b - 65*b for f.\n' | b'3\n' | deepmind/math_dataset |
b'Let a(l) = -1 + 2*l**2 + 4 - 4 - l. Let n be -2*(((-16)/(-4) - 4) + -1). Calculate a(n).\n' | b'5\n' | b'Let a(l) = -1 + 2*l**2 + 4 - 4 - l. Let n be -2*(((-16)/(-4) - 4) + -1). Calculate a(n).\n' | b'5\n' | deepmind/math_dataset |
b'Let c(u) be the second derivative of u**4/6 - 8*u**3/3 - 2*u**2 - 214*u. What is c(11)?\n' | b'62\n' | b'Let c(u) be the second derivative of u**4/6 - 8*u**3/3 - 2*u**2 - 214*u. What is c(11)?\n' | b'62\n' | deepmind/math_dataset |
b'Suppose -2*v + 28 = 2*v - 4*j, -3*v = 4*j. Solve v*i + 19 = -5*o, -6*i + 4*i + o + 1 = 0 for i.\n' | b'-1\n' | b'Suppose -2*v + 28 = 2*v - 4*j, -3*v = 4*j. Solve v*i + 19 = -5*o, -6*i + 4*i + o + 1 = 0 for i.\n' | b'-1\n' | deepmind/math_dataset |
b'Find the second derivative of 31 - 3051*k**2 - 2539*k**2 - 11411*k + 11403*k wrt k.\n' | b'-11180\n' | b'Find the second derivative of 31 - 3051*k**2 - 2539*k**2 - 11411*k + 11403*k wrt k.\n' | b'-11180\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {r: 1, s: 1, a: 2, n: 2}. Give prob of sequence ns.\n' | b'1/15\n' | b'Two letters picked without replacement from {r: 1, s: 1, a: 2, n: 2}. Give prob of sequence ns.\n' | b'1/15\n' | deepmind/math_dataset |
b'Let t = 411 - 400. Let l(b) = -b + 24. Calculate l(t).\n' | b'13\n' | b'Let t = 411 - 400. Let l(b) = -b + 24. Calculate l(t).\n' | b'13\n' | deepmind/math_dataset |
b'Two letters picked without replacement from egegexgg. What is prob of sequence ee?\n' | b'3/28\n' | b'Two letters picked without replacement from egegexgg. What is prob of sequence ee?\n' | b'3/28\n' | deepmind/math_dataset |
b'Let l be -3 + 11 + -11 + -28. Suppose -3*r - 140 = r. Let w = l - r. Let b(u) = u - 1. Give b(w).\n' | b'3\n' | b'Let l be -3 + 11 + -11 + -28. Suppose -3*r - 140 = r. Let w = l - r. Let b(u) = u - 1. Give b(w).\n' | b'3\n' | deepmind/math_dataset |
b'Let m(s) be the first derivative of -s**4/4 + 4*s**3/3 - s**2 - 3*s - 1. Let n be m(3). Solve 3*j - 4*z + 6 = n, 2*j + 5*z = 6 + 13 for j.\n' | b'2\n' | b'Let m(s) be the first derivative of -s**4/4 + 4*s**3/3 - s**2 - 3*s - 1. Let n be m(3). Solve 3*j - 4*z + 6 = n, 2*j + 5*z = 6 + 13 for j.\n' | b'2\n' | deepmind/math_dataset |
b'Let n(u) = -6*u + 1. Let z be n(5). Let c = z + 31. What is the derivative of -2*y**2 + 12*y**4 + 3*y**c - y**2 + 2 wrt y?\n' | b'48*y**3\n' | b'Let n(u) = -6*u + 1. Let z be n(5). Let c = z + 31. What is the derivative of -2*y**2 + 12*y**4 + 3*y**c - y**2 + 2 wrt y?\n' | b'48*y**3\n' | deepmind/math_dataset |
b'Calculate prob of sequence prp when three letters picked without replacement from {e: 1, p: 2, o: 1, r: 2, v: 4}.\n' | b'1/180\n' | b'Calculate prob of sequence prp when three letters picked without replacement from {e: 1, p: 2, o: 1, r: 2, v: 4}.\n' | b'1/180\n' | deepmind/math_dataset |
b'Simplify (z*z*z*z**(-1/8)*z)/(z*z**2/z*z*z*z)*((z*z/z**1)/z)**25*((z**(-4)/z)/z**1)/(((z/(z*z/((z*z**(-1/3))/z)))/z)/z)**(8/5) assuming z is positive.\n' | b'z**(-43/24)\n' | b'Simplify (z*z*z*z**(-1/8)*z)/(z*z**2/z*z*z*z)*((z*z/z**1)/z)**25*((z**(-4)/z)/z**1)/(((z/(z*z/((z*z**(-1/3))/z)))/z)/z)**(8/5) assuming z is positive.\n' | b'z**(-43/24)\n' | deepmind/math_dataset |
b'Let i(g) be the second derivative of g**5/20 - g**4/12 - g**3/6 + 4*g**2 - 19*g. What is i(0)?\n' | b'8\n' | b'Let i(g) be the second derivative of g**5/20 - g**4/12 - g**3/6 + 4*g**2 - 19*g. What is i(0)?\n' | b'8\n' | deepmind/math_dataset |
b'Let h(z) = -z**3 + 2*z**2 + 3*z - 1. Let t be (18/(-45))/((-9)/(-45)). What is h(t)?\n' | b'9\n' | b'Let h(z) = -z**3 + 2*z**2 + 3*z - 1. Let t be (18/(-45))/((-9)/(-45)). What is h(t)?\n' | b'9\n' | deepmind/math_dataset |
b'Two letters picked without replacement from thhhthththtt. Give prob of picking 1 t and 1 h.\n' | b'6/11\n' | b'Two letters picked without replacement from thhhthththtt. Give prob of picking 1 t and 1 h.\n' | b'6/11\n' | deepmind/math_dataset |
b'Two letters picked without replacement from mnnnnmnnnnmnnnnn. What is prob of picking 2 m?\n' | b'1/40\n' | b'Two letters picked without replacement from mnnnnmnnnnmnnnnn. What is prob of picking 2 m?\n' | b'1/40\n' | deepmind/math_dataset |
b'Suppose 5*v + 3*j = 25, 0 = 3*v - v - 3*j - 10. Let c(l) = 5*l**2. Let i = -2 + 1. Let d be c(i). Solve -v*u + 3*h + d = 0, -2*u = -4*u - 4*h + 2 for u.\n' | b'1\n' | b'Suppose 5*v + 3*j = 25, 0 = 3*v - v - 3*j - 10. Let c(l) = 5*l**2. Let i = -2 + 1. Let d be c(i). Solve -v*u + 3*h + d = 0, -2*u = -4*u - 4*h + 2 for u.\n' | b'1\n' | deepmind/math_dataset |
b'Let v(f) = -f**3 + 12*f**2 - 10*f - 9. Let x be v(11). Solve 0 = -3*s - 2*o + 8, 0*o - 2 = -x*o for s.\n' | b'2\n' | b'Let v(f) = -f**3 + 12*f**2 - 10*f - 9. Let x be v(11). Solve 0 = -3*s - 2*o + 8, 0*o - 2 = -x*o for s.\n' | b'2\n' | deepmind/math_dataset |
b'Let k(r) be the second derivative of -r**6/30 - 741*r**5/10 - 2465*r**4/12 - 5534*r. Find the third derivative of k(u) wrt u.\n' | b'-24*u - 8892\n' | b'Let k(r) be the second derivative of -r**6/30 - 741*r**5/10 - 2465*r**4/12 - 5534*r. Find the third derivative of k(u) wrt u.\n' | b'-24*u - 8892\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 p and 1 d when four letters picked without replacement from pddpppppp.\n' | b'5/9\n' | b'Calculate prob of picking 3 p and 1 d when four letters picked without replacement from pddpppppp.\n' | b'5/9\n' | deepmind/math_dataset |
b'Let l = -416 + 416. Let y(a) be the second derivative of 0*a**5 + 0*a**3 - 3*a + l*a**4 - 3/2*a**2 + 1/5*a**6 + 0. Differentiate y(x) wrt x.\n' | b'24*x**3\n' | b'Let l = -416 + 416. Let y(a) be the second derivative of 0*a**5 + 0*a**3 - 3*a + l*a**4 - 3/2*a**2 + 1/5*a**6 + 0. Differentiate y(x) wrt x.\n' | b'24*x**3\n' | deepmind/math_dataset |
b'Calculate prob of sequence nan when three letters picked without replacement from {a: 3, n: 5, s: 1, p: 5, l: 4}.\n' | b'5/408\n' | b'Calculate prob of sequence nan when three letters picked without replacement from {a: 3, n: 5, s: 1, p: 5, l: 4}.\n' | b'5/408\n' | deepmind/math_dataset |
b'Simplify (p**(-6)/p*p*p*p*p)/p**1*p/p**(-19)*p/(p/(p*p*(p**6/p)/p)) assuming p is positive.\n' | b'p**22\n' | b'Simplify (p**(-6)/p*p*p*p*p)/p**1*p/p**(-19)*p/(p/(p*p*(p**6/p)/p)) assuming p is positive.\n' | b'p**22\n' | deepmind/math_dataset |
b'Simplify d**(2/43)/d*d*d**11*(d**(1/11))**47 assuming d is positive.\n' | b'd**(7246/473)\n' | b'Simplify d**(2/43)/d*d*d**11*(d**(1/11))**47 assuming d is positive.\n' | b'd**(7246/473)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from jjedddjjedjd. What is prob of sequence jd?\n' | b'25/132\n' | b'Two letters picked without replacement from jjedddjjedjd. What is prob of sequence jd?\n' | b'25/132\n' | deepmind/math_dataset |
b'Suppose -25 - 15 = -4*v. Let g be 2/(-5) + 44/v. Suppose 2*r = g + 4. Solve 2 = n - o - r, -o = 2 for n.\n' | b'4\n' | b'Suppose -25 - 15 = -4*v. Let g be 2/(-5) + 44/v. Suppose 2*r = g + 4. Solve 2 = n - o - r, -o = 2 for n.\n' | b'4\n' | deepmind/math_dataset |
b'Let a(g) = 51*g - 33. Let m(b) = -23 + 3 - 14 + 50*b. Let w(n) = 5*a(n) - 6*m(n). Find the first derivative of w(f) wrt f.\n' | b'-45\n' | b'Let a(g) = 51*g - 33. Let m(b) = -23 + 3 - 14 + 50*b. Let w(n) = 5*a(n) - 6*m(n). Find the first derivative of w(f) wrt f.\n' | b'-45\n' | deepmind/math_dataset |
b'Let r(v) be the first derivative of 2*v**3 - 2*v + 46. Find the first derivative of r(p) wrt p.\n' | b'12*p\n' | b'Let r(v) be the first derivative of 2*v**3 - 2*v + 46. Find the first derivative of r(p) wrt p.\n' | b'12*p\n' | deepmind/math_dataset |
b'What is the second derivative of 86*t - 10*t - 55*t**2 + 77*t**2 wrt t?\n' | b'44\n' | b'What is the second derivative of 86*t - 10*t - 55*t**2 + 77*t**2 wrt t?\n' | b'44\n' | deepmind/math_dataset |
b'Let u(d) = -d**2 + 7*d + 5. Let g be u(8). Let f = g + 6. Solve -5*l + 11 = a, -f*a = 4*l - 2 - 9 for a.\n' | b'1\n' | b'Let u(d) = -d**2 + 7*d + 5. Let g be u(8). Let f = g + 6. Solve -5*l + 11 = a, -f*a = 4*l - 2 - 9 for a.\n' | b'1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from hxhuuzu. What is prob of sequence ux?\n' | b'1/14\n' | b'Two letters picked without replacement from hxhuuzu. What is prob of sequence ux?\n' | b'1/14\n' | deepmind/math_dataset |
b'Let b = 1033 - 1033. Solve 4*t + 5*f = 2, b = -2*t - 0*t - f - 2 for t.\n' | b'-2\n' | b'Let b = 1033 - 1033. Solve 4*t + 5*f = 2, b = -2*t - 0*t - f - 2 for t.\n' | b'-2\n' | deepmind/math_dataset |
b'Let s(o) be the second derivative of o**4/24 + o**3/3 + 7*o**2/2 - 5*o. Let g(x) be the first derivative of s(x). Calculate g(-7).\n' | b'-5\n' | b'Let s(o) be the second derivative of o**4/24 + o**3/3 + 7*o**2/2 - 5*o. Let g(x) be the first derivative of s(x). Calculate g(-7).\n' | b'-5\n' | deepmind/math_dataset |
b'Let v be -5 - (-5 - -1 - -4). Let m(o) = -2*o + 2. Let u(z) = -z. Let n(i) = v*u(i) + m(i). Give n(-3).\n' | b'-7\n' | b'Let v be -5 - (-5 - -1 - -4). Let m(o) = -2*o + 2. Let u(z) = -z. Let n(i) = v*u(i) + m(i). Give n(-3).\n' | b'-7\n' | deepmind/math_dataset |
b'Simplify z*z**(-2/119)*z/(z*z/z**(-36)) assuming z is positive.\n' | b'z**(-4286/119)\n' | b'Simplify z*z**(-2/119)*z/(z*z/z**(-36)) assuming z is positive.\n' | b'z**(-4286/119)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {h: 12, m: 7}. What is prob of sequence hhhm?\n' | b'385/3876\n' | b'Four letters picked without replacement from {h: 12, m: 7}. What is prob of sequence hhhm?\n' | b'385/3876\n' | deepmind/math_dataset |
b'Suppose -39*j + 29 = 23*j - 33. Let w(z) = -17*z**2 + 5*z - 2. Calculate w(j).\n' | b'-14\n' | b'Suppose -39*j + 29 = 23*j - 33. Let w(z) = -17*z**2 + 5*z - 2. Calculate w(j).\n' | b'-14\n' | deepmind/math_dataset |
b'Simplify (v*v/(v/(((v*v**(-9)/v)/v*v)/v)))**(17/2)/((v*v/v**(-3/2))/(v**(-22)/v)) assuming v is positive.\n' | b'v**(-103)\n' | b'Simplify (v*v/(v/(((v*v**(-9)/v)/v*v)/v)))**(17/2)/((v*v/v**(-3/2))/(v**(-22)/v)) assuming v is positive.\n' | b'v**(-103)\n' | deepmind/math_dataset |
b'What is the third derivative of -8*i**2 + i**4 + 0*i**4 - 5*i**5 - i**4 wrt i?\n' | b'-300*i**2\n' | b'What is the third derivative of -8*i**2 + i**4 + 0*i**4 - 5*i**5 - i**4 wrt i?\n' | b'-300*i**2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from fffffffff. Give prob of picking 3 f.\n' | b'1\n' | b'Three letters picked without replacement from fffffffff. Give prob of picking 3 f.\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 d, 1 f, 1 e, and 1 b when four letters picked without replacement from {e: 1, f: 4, d: 1, b: 2}.\n' | b'4/35\n' | b'Calculate prob of picking 1 d, 1 f, 1 e, and 1 b when four letters picked without replacement from {e: 1, f: 4, d: 1, b: 2}.\n' | b'4/35\n' | deepmind/math_dataset |
b'Simplify h**(3/20)*h**(-13/6)*((h*h*h**(-5/4))/h)/h**(-2/33) assuming h is positive.\n' | b'h**(-364/165)\n' | b'Simplify h**(3/20)*h**(-13/6)*((h*h*h**(-5/4))/h)/h**(-2/33) assuming h is positive.\n' | b'h**(-364/165)\n' | deepmind/math_dataset |
b'Simplify ((((u*u*u**(-7))/u*u*u)/u*u*u)/u**(1/5))/(u**(-5)/(u**(2/43)*u)) assuming u is positive.\n' | b'u**(612/215)\n' | b'Simplify ((((u*u*u**(-7))/u*u*u)/u*u*u)/u**(1/5))/(u**(-5)/(u**(2/43)*u)) assuming u is positive.\n' | b'u**(612/215)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from lpplllpllzzpzzxlzl. What is prob of picking 1 p and 1 x?\n' | b'4/153\n' | b'Two letters picked without replacement from lpplllpllzzpzzxlzl. What is prob of picking 1 p and 1 x?\n' | b'4/153\n' | deepmind/math_dataset |
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