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 picking 1 n and 1 a when two letters picked without replacement from {l: 6, n: 1, a: 1, w: 1}?\n' | b'1/36\n' | b'What is prob of picking 1 n and 1 a when two letters picked without replacement from {l: 6, n: 1, a: 1, w: 1}?\n' | b'1/36\n' | deepmind/math_dataset |
b'Three letters picked without replacement from gvgrlvvggvrvuuvu. What is prob of sequence lvg?\n' | b'1/140\n' | b'Three letters picked without replacement from gvgrlvvggvrvuuvu. What is prob of sequence lvg?\n' | b'1/140\n' | deepmind/math_dataset |
b'What is prob of sequence llcc when four letters picked without replacement from lmcclppmpcllppplp?\n' | b'1/476\n' | b'What is prob of sequence llcc when four letters picked without replacement from lmcclppmpcllppplp?\n' | b'1/476\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 x and 1 c when two letters picked without replacement from {a: 3, c: 1, x: 1}.\n' | b'1/10\n' | b'Calculate prob of picking 1 x and 1 c when two letters picked without replacement from {a: 3, c: 1, x: 1}.\n' | b'1/10\n' | deepmind/math_dataset |
b'Let c = 30443/5 - 6088. Let w(s) be the second derivative of 9/4*s**4 + 0*s**2 + c*s**5 + 0 + 0*s**3 + 36*s. Find the third derivative of w(i) wrt i.\n' | b'72\n' | b'Let c = 30443/5 - 6088. Let w(s) be the second derivative of 9/4*s**4 + 0*s**2 + c*s**5 + 0 + 0*s**3 + 36*s. Find the third derivative of w(i) wrt i.\n' | b'72\n' | deepmind/math_dataset |
b'Let x(o) = -5*o**3 + 2*o**2 - o. Let l(s) = -s**2 - 4*s + 6. Let b be l(-5). Let f = b - 0. Let q = f - 0. What is x(q)?\n' | b'-4\n' | b'Let x(o) = -5*o**3 + 2*o**2 - o. Let l(s) = -s**2 - 4*s + 6. Let b be l(-5). Let f = b - 0. Let q = f - 0. What is x(q)?\n' | b'-4\n' | deepmind/math_dataset |
b'Let b be -5*(3/(-4) + (-348)/(-80) + -4). Solve -4 = -2*l, -z + 21 = b*l + 16 for z.\n' | b'1\n' | b'Let b be -5*(3/(-4) + (-348)/(-80) + -4). Solve -4 = -2*l, -z + 21 = b*l + 16 for z.\n' | b'1\n' | deepmind/math_dataset |
b'Let p be 100/30*(-3)/(-2). Let y(n) = n**3 - 6*n**2 + 5*n - 2. Determine y(p).\n' | b'-2\n' | b'Let p be 100/30*(-3)/(-2). Let y(n) = n**3 - 6*n**2 + 5*n - 2. Determine y(p).\n' | b'-2\n' | deepmind/math_dataset |
b'Let b = 3387 - 3389. Let x(a) = -62*a + 1. Determine x(b).\n' | b'125\n' | b'Let b = 3387 - 3389. Let x(a) = -62*a + 1. Determine x(b).\n' | b'125\n' | deepmind/math_dataset |
b'Let m(p) = -7*p**2 + 2*p - 2. Let h be m(2). Let s(k) = 2*k + 58. Let w be s(h). Suppose 11*d = w*d + 45. Solve 4*c + 0*c + 3*z = -d, c = 4*z - 7 for c.\n' | b'-3\n' | b'Let m(p) = -7*p**2 + 2*p - 2. Let h be m(2). Let s(k) = 2*k + 58. Let w be s(h). Suppose 11*d = w*d + 45. Solve 4*c + 0*c + 3*z = -d, c = 4*z - 7 for c.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify i**(-27/4)/i*i*i**(-4/5) assuming i is positive.\n' | b'i**(-151/20)\n' | b'Simplify i**(-27/4)/i*i*i**(-4/5) assuming i is positive.\n' | b'i**(-151/20)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {j: 1, k: 3, w: 2, o: 1, p: 3, t: 1}. What is prob of picking 2 w?\n' | b'1/55\n' | b'Two letters picked without replacement from {j: 1, k: 3, w: 2, o: 1, p: 3, t: 1}. What is prob of picking 2 w?\n' | b'1/55\n' | deepmind/math_dataset |
b'What is prob of picking 1 l, 1 o, and 1 n when three letters picked without replacement from {o: 2, l: 2, n: 1}?\n' | b'2/5\n' | b'What is prob of picking 1 l, 1 o, and 1 n when three letters picked without replacement from {o: 2, l: 2, n: 1}?\n' | b'2/5\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 t when two letters picked without replacement from {i: 1, s: 1, b: 1, t: 2}.\n' | b'1/10\n' | b'Calculate prob of picking 2 t when two letters picked without replacement from {i: 1, s: 1, b: 1, t: 2}.\n' | b'1/10\n' | deepmind/math_dataset |
b'Calculate prob of sequence bbsb when four letters picked without replacement from {b: 3, s: 1}.\n' | b'1/4\n' | b'Calculate prob of sequence bbsb when four letters picked without replacement from {b: 3, s: 1}.\n' | b'1/4\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {q: 4, w: 7}. What is prob of sequence wqqw?\n' | b'7/110\n' | b'Four letters picked without replacement from {q: 4, w: 7}. What is prob of sequence wqqw?\n' | b'7/110\n' | deepmind/math_dataset |
b'Simplify (u**(-13)/u**(1/16)*(u/(((u*u**(-5))/u)/u*u))/u**8)**(1/9) assuming u is positive.\n' | b'u**(-241/144)\n' | b'Simplify (u**(-13)/u**(1/16)*(u/(((u*u**(-5))/u)/u*u))/u**8)**(1/9) assuming u is positive.\n' | b'u**(-241/144)\n' | deepmind/math_dataset |
b'Let k(l) be the third derivative of -117*l + 0 + 0*l**6 + 24/35*l**7 + 0*l**5 - l**2 + 0*l**4 + 41/2*l**3. Find the first derivative of k(h) wrt h.\n' | b'576*h**3\n' | b'Let k(l) be the third derivative of -117*l + 0 + 0*l**6 + 24/35*l**7 + 0*l**5 - l**2 + 0*l**4 + 41/2*l**3. Find the first derivative of k(h) wrt h.\n' | b'576*h**3\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 t and 1 z when two letters picked without replacement from tjszm.\n' | b'1/10\n' | b'Calculate prob of picking 1 t and 1 z when two letters picked without replacement from tjszm.\n' | b'1/10\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {k: 12, y: 3}. What is prob of picking 1 k and 2 y?\n' | b'36/455\n' | b'Three letters picked without replacement from {k: 12, y: 3}. What is prob of picking 1 k and 2 y?\n' | b'36/455\n' | deepmind/math_dataset |
b'Let w(m) be the second derivative of -451*m**6/15 + 1909*m**4/12 + 543*m. Find the third derivative of w(y) wrt y.\n' | b'-21648*y\n' | b'Let w(m) be the second derivative of -451*m**6/15 + 1909*m**4/12 + 543*m. Find the third derivative of w(y) wrt y.\n' | b'-21648*y\n' | deepmind/math_dataset |
b'Let s(x) be the first derivative of -15 + 0*x + 0*x**2 + 0*x**4 + 0*x**5 - 11*x**3 - 15/7*x**7 + 0*x**6. What is the third derivative of s(q) wrt q?\n' | b'-1800*q**3\n' | b'Let s(x) be the first derivative of -15 + 0*x + 0*x**2 + 0*x**4 + 0*x**5 - 11*x**3 - 15/7*x**7 + 0*x**6. What is the third derivative of s(q) wrt q?\n' | b'-1800*q**3\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 v and 1 z when two letters picked without replacement from zssszvzzsvzsszvsv.\n' | b'3/17\n' | b'Calculate prob of picking 1 v and 1 z when two letters picked without replacement from zssszvzzsvzsszvsv.\n' | b'3/17\n' | deepmind/math_dataset |
b'What is the first derivative of 15 - 29*y**4 - 29 - 52 wrt y?\n' | b'-116*y**3\n' | b'What is the first derivative of 15 - 29*y**4 - 29 - 52 wrt y?\n' | b'-116*y**3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ieeezzezuuzzziziie. What is prob of sequence iiiu?\n' | b'1/1530\n' | b'Four letters picked without replacement from ieeezzezuuzzziziie. What is prob of sequence iiiu?\n' | b'1/1530\n' | deepmind/math_dataset |
b'Let u be (-10)/4*(-6)/5. What is the second derivative of 6*y + 2*y**3 - 3*y**3 - 4*y - u*y wrt y?\n' | b'-6*y\n' | b'Let u be (-10)/4*(-6)/5. What is the second derivative of 6*y + 2*y**3 - 3*y**3 - 4*y - u*y wrt y?\n' | b'-6*y\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {f: 11, u: 1}. What is prob of sequence fuff?\n' | b'1/12\n' | b'Four letters picked without replacement from {f: 11, u: 1}. What is prob of sequence fuff?\n' | b'1/12\n' | deepmind/math_dataset |
b'Let l(h) = -h**3 - 4*h**2 - 2*h - 6. Let i be l(-4). Suppose r - 24 = -i*x + 6*r, 2*x - 3*r - 24 = 0. Solve -s + x = 2*z, -s + 2*z - 2 = 6 for s.\n' | b'2\n' | b'Let l(h) = -h**3 - 4*h**2 - 2*h - 6. Let i be l(-4). Suppose r - 24 = -i*x + 6*r, 2*x - 3*r - 24 = 0. Solve -s + x = 2*z, -s + 2*z - 2 = 6 for s.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify (m**19*m*m)/(m/m**(-1/11)) assuming m is positive.\n' | b'm**(219/11)\n' | b'Simplify (m**19*m*m)/(m/m**(-1/11)) assuming m is positive.\n' | b'm**(219/11)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {x: 2, b: 4, u: 1, l: 4, a: 3}. What is prob of picking 1 l, 1 x, and 1 u?\n' | b'2/91\n' | b'Three letters picked without replacement from {x: 2, b: 4, u: 1, l: 4, a: 3}. What is prob of picking 1 l, 1 x, and 1 u?\n' | b'2/91\n' | deepmind/math_dataset |
b'Let a(s) be the second derivative of s**5/10 + 17*s**3 + 9*s**2 - 45*s + 6. Differentiate a(x) with respect to x.\n' | b'6*x**2 + 102\n' | b'Let a(s) be the second derivative of s**5/10 + 17*s**3 + 9*s**2 - 45*s + 6. Differentiate a(x) with respect to x.\n' | b'6*x**2 + 102\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 c and 2 s when three letters picked without replacement from scsrrc.\n' | b'1/10\n' | b'Calculate prob of picking 1 c and 2 s when three letters picked without replacement from scsrrc.\n' | b'1/10\n' | deepmind/math_dataset |
b'Three letters picked without replacement from bffbo. What is prob of picking 1 b, 1 o, and 1 f?\n' | b'2/5\n' | b'Three letters picked without replacement from bffbo. What is prob of picking 1 b, 1 o, and 1 f?\n' | b'2/5\n' | deepmind/math_dataset |
b'Three letters picked without replacement from anhjzzhhvhaz. What is prob of picking 1 v, 1 n, and 1 z?\n' | b'3/220\n' | b'Three letters picked without replacement from anhjzzhhvhaz. What is prob of picking 1 v, 1 n, and 1 z?\n' | b'3/220\n' | deepmind/math_dataset |
b'Simplify ((q**(-4/3)*q)/q**(-2/7))**(-19)*(q/(q/((q/(q*q*q**(-1)))/q)))**(-2/15)*q*q*q/(q*q**(-5))*q*q/(q*q*q**5*q)*q assuming q is positive.\n' | b'q**(319/105)\n' | b'Simplify ((q**(-4/3)*q)/q**(-2/7))**(-19)*(q/(q/((q/(q*q*q**(-1)))/q)))**(-2/15)*q*q*q/(q*q**(-5))*q*q/(q*q*q**5*q)*q assuming q is positive.\n' | b'q**(319/105)\n' | deepmind/math_dataset |
b'Suppose -4*f = -m - 14, -5*m - 25 = -7*f + 2*f. Let o be 1/(f/(-9)) + 7. Solve b + 9 = o*b + 2*h, 3*b = 4*h - 9 for b.\n' | b'1\n' | b'Suppose -4*f = -m - 14, -5*m - 25 = -7*f + 2*f. Let o be 1/(f/(-9)) + 7. Solve b + 9 = o*b + 2*h, 3*b = 4*h - 9 for b.\n' | b'1\n' | deepmind/math_dataset |
b'Let x(t) be the second derivative of t**4/12 + t**3/6 + t**2 + 17*t. Let f be x(3). Find the second derivative of 10*l - f*l + 19*l + 19*l**3 wrt l.\n' | b'114*l\n' | b'Let x(t) be the second derivative of t**4/12 + t**3/6 + t**2 + 17*t. Let f be x(3). Find the second derivative of 10*l - f*l + 19*l + 19*l**3 wrt l.\n' | b'114*l\n' | deepmind/math_dataset |
b'What is prob of picking 3 r and 1 n when four letters picked without replacement from nnrrnnnnnnnnnrnnrrr?\n' | b'65/969\n' | b'What is prob of picking 3 r and 1 n when four letters picked without replacement from nnrrnnnnnnnnnrnnrrr?\n' | b'65/969\n' | deepmind/math_dataset |
b'Simplify (o**(1/8)/(o**0/o))**(-3/8)*(o*o*(o/o**(-1)*o)/o*o)**(-1)/(o**(-1/2)*o)**(-36) assuming o is positive.\n' | b'o**(805/64)\n' | b'Simplify (o**(1/8)/(o**0/o))**(-3/8)*(o*o*(o/o**(-1)*o)/o*o)**(-1)/(o**(-1/2)*o)**(-36) assuming o is positive.\n' | b'o**(805/64)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {h: 1, f: 2, q: 5, c: 4, v: 2}. Give prob of sequence qqqq.\n' | b'5/1001\n' | b'Four letters picked without replacement from {h: 1, f: 2, q: 5, c: 4, v: 2}. Give prob of sequence qqqq.\n' | b'5/1001\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {k: 8, d: 2}. What is prob of sequence dd?\n' | b'1/45\n' | b'Two letters picked without replacement from {k: 8, d: 2}. What is prob of sequence dd?\n' | b'1/45\n' | deepmind/math_dataset |
b'Let v be (-3)/2*(-8)/3. Let d be v/(12/(-3))*1. Let s(y) = -9*y**3 - 2*y**2 + 1. Determine s(d).\n' | b'8\n' | b'Let v be (-3)/2*(-8)/3. Let d be v/(12/(-3))*1. Let s(y) = -9*y**3 - 2*y**2 + 1. Determine s(d).\n' | b'8\n' | deepmind/math_dataset |
b'Let o(w) be the third derivative of w**9/56 + w**5/60 + 12*w**2. What is the third derivative of o(v) wrt v?\n' | b'1080*v**3\n' | b'Let o(w) be the third derivative of w**9/56 + w**5/60 + 12*w**2. What is the third derivative of o(v) wrt v?\n' | b'1080*v**3\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 w and 1 x when two letters picked without replacement from {w: 7, m: 2, x: 3}.\n' | b'7/22\n' | b'Calculate prob of picking 1 w and 1 x when two letters picked without replacement from {w: 7, m: 2, x: 3}.\n' | b'7/22\n' | deepmind/math_dataset |
b'Let t(m) be the first derivative of 0*m**4 + 38/5*m**5 - 29 + 0*m + 15/2*m**2 + 0*m**3. Find the second derivative of t(c) wrt c.\n' | b'456*c**2\n' | b'Let t(m) be the first derivative of 0*m**4 + 38/5*m**5 - 29 + 0*m + 15/2*m**2 + 0*m**3. Find the second derivative of t(c) wrt c.\n' | b'456*c**2\n' | deepmind/math_dataset |
b'Calculate prob of sequence rzz when three letters picked without replacement from rszrzrzrszzzr.\n' | b'25/286\n' | b'Calculate prob of sequence rzz when three letters picked without replacement from rszrzrzrszzzr.\n' | b'25/286\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {c: 5, j: 2}. What is prob of picking 1 j and 1 c?\n' | b'10/21\n' | b'Two letters picked without replacement from {c: 5, j: 2}. What is prob of picking 1 j and 1 c?\n' | b'10/21\n' | deepmind/math_dataset |
b'What is prob of sequence yy when two letters picked without replacement from {t: 1, c: 7, y: 2, r: 4}?\n' | b'1/91\n' | b'What is prob of sequence yy when two letters picked without replacement from {t: 1, c: 7, y: 2, r: 4}?\n' | b'1/91\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {u: 5, o: 5}. What is prob of picking 1 o and 3 u?\n' | b'5/21\n' | b'Four letters picked without replacement from {u: 5, o: 5}. What is prob of picking 1 o and 3 u?\n' | b'5/21\n' | deepmind/math_dataset |
b'What is the third derivative of t**2 - 3*t**5 + 5865*t**3 - 6230*t**3 - 7*t**4 + 537*t + 2*t**5 wrt t?\n' | b'-60*t**2 - 168*t - 2190\n' | b'What is the third derivative of t**2 - 3*t**5 + 5865*t**3 - 6230*t**3 - 7*t**4 + 537*t + 2*t**5 wrt t?\n' | b'-60*t**2 - 168*t - 2190\n' | deepmind/math_dataset |
b'Suppose 5*t + 14 - 16 = 4*h, 0 = 3*h + 2*t - 10. Solve 4*m = -f + 16, -f + 8 = h*m + 2*f for m.\n' | b'4\n' | b'Suppose 5*t + 14 - 16 = 4*h, 0 = 3*h + 2*t - 10. Solve 4*m = -f + 16, -f + 8 = h*m + 2*f for m.\n' | b'4\n' | deepmind/math_dataset |
b'Differentiate 203 - 111*n - 113*n - 48*n + 329*n with respect to n.\n' | b'57\n' | b'Differentiate 203 - 111*n - 113*n - 48*n + 329*n with respect to n.\n' | b'57\n' | deepmind/math_dataset |
b'Simplify ((s/(s*s*s**(1/18)*s))/s*s/(s*s*s**5/s)*s)/(s**3/s**19) assuming s is positive.\n' | b's**(161/18)\n' | b'Simplify ((s/(s*s*s**(1/18)*s))/s*s/(s*s*s**5/s)*s)/(s**3/s**19) assuming s is positive.\n' | b's**(161/18)\n' | deepmind/math_dataset |
b'Let i(y) be the first derivative of -1543*y**4/4 + 1219*y**3/3 + 754. Find the third derivative of i(c) wrt c.\n' | b'-9258\n' | b'Let i(y) be the first derivative of -1543*y**4/4 + 1219*y**3/3 + 754. Find the third derivative of i(c) wrt c.\n' | b'-9258\n' | deepmind/math_dataset |
b'Four letters picked without replacement from bbbulububnbbbbbunbu. Give prob of picking 1 n and 3 b.\n' | b'55/646\n' | b'Four letters picked without replacement from bbbulububnbbbbbunbu. Give prob of picking 1 n and 3 b.\n' | b'55/646\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {s: 2, v: 1, k: 2, q: 1}. What is prob of sequence qs?\n' | b'1/15\n' | b'Two letters picked without replacement from {s: 2, v: 1, k: 2, q: 1}. What is prob of sequence qs?\n' | b'1/15\n' | deepmind/math_dataset |
b'Let g(q) = q**2 - 156*q + 5689. Let w be g(58). Solve -4*h + 9 = w*f, -93*h = -89*h - 4*f for h.\n' | b'1\n' | b'Let g(q) = q**2 - 156*q + 5689. Let w be g(58). Solve -4*h + 9 = w*f, -93*h = -89*h - 4*f for h.\n' | b'1\n' | deepmind/math_dataset |
b'Let k be 903/315 + 2/15. Solve 4*f + 38*p - 33*p + 12 = 0, -p = -f - k for f.\n' | b'-3\n' | b'Let k be 903/315 + 2/15. Solve 4*f + 38*p - 33*p + 12 = 0, -p = -f - k for f.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify (i/((i*i/i**0)/i))**43*i/(i*i/((i*i**(-1/3)*i)/i)*i)*(i/(i/(i**(1/4)/i)))/i assuming i is positive.\n' | b'i**(-37/12)\n' | b'Simplify (i/((i*i/i**0)/i))**43*i/(i*i/((i*i**(-1/3)*i)/i)*i)*(i/(i/(i**(1/4)/i)))/i assuming i is positive.\n' | b'i**(-37/12)\n' | deepmind/math_dataset |
b'Suppose -35 = 5*h + 35. Let c be 0 - (2 + -2 + h). Suppose 5*w - 4*o = 3*w - c, -w = -5*o + 19. Let n(q) = 8*q**2 + 2*q - 1. Give n(w).\n' | b'9\n' | b'Suppose -35 = 5*h + 35. Let c be 0 - (2 + -2 + h). Suppose 5*w - 4*o = 3*w - c, -w = -5*o + 19. Let n(q) = 8*q**2 + 2*q - 1. Give n(w).\n' | b'9\n' | deepmind/math_dataset |
b'Calculate prob of picking 4 o when four letters picked without replacement from fofooof.\n' | b'1/35\n' | b'Calculate prob of picking 4 o when four letters picked without replacement from fofooof.\n' | b'1/35\n' | deepmind/math_dataset |
b'What is prob of picking 1 t and 2 j when three letters picked without replacement from tjtttjtjttt?\n' | b'8/55\n' | b'What is prob of picking 1 t and 2 j when three letters picked without replacement from tjtttjtjttt?\n' | b'8/55\n' | deepmind/math_dataset |
b'Let c(r) = -r**2 - 9*r + 9. Let d be c(-8). Differentiate 12 - 6 - 10*j - d wrt j.\n' | b'-10\n' | b'Let c(r) = -r**2 - 9*r + 9. Let d be c(-8). Differentiate 12 - 6 - 10*j - d wrt j.\n' | b'-10\n' | deepmind/math_dataset |
b'Suppose 3*n - 84 = 3*z, 6*z = -3*n + 4*z + 89. Solve 4*h = -3*t + n, -2*t + h + 4 - 3 = 0 for t.\n' | b'3\n' | b'Suppose 3*n - 84 = 3*z, 6*z = -3*n + 4*z + 89. Solve 4*h = -3*t + n, -2*t + h + 4 - 3 = 0 for t.\n' | b'3\n' | deepmind/math_dataset |
b'Simplify (b**(-6)/(((b/b**(-2))/b)/b))**(-34)*((b/(b**(-1/4)/b))/(b*(b/(b*b*b**1*b))/b*b*b*b))/(b**(-1/10)*b**(-1/7)/b) assuming b is positive.\n' | b'b**(33809/140)\n' | b'Simplify (b**(-6)/(((b/b**(-2))/b)/b))**(-34)*((b/(b**(-1/4)/b))/(b*(b/(b*b*b**1*b))/b*b*b*b))/(b**(-1/10)*b**(-1/7)/b) assuming b is positive.\n' | b'b**(33809/140)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {e: 1, a: 4, t: 4, d: 1, v: 5}. What is prob of picking 1 a and 1 t?\n' | b'16/105\n' | b'Two letters picked without replacement from {e: 1, a: 4, t: 4, d: 1, v: 5}. What is prob of picking 1 a and 1 t?\n' | b'16/105\n' | deepmind/math_dataset |
b'Let m be 22/3 + 7/(63/6). Solve -7*r - 3 = -d - 5*r, 4*d = -2*r - m for d.\n' | b'-1\n' | b'Let m be 22/3 + 7/(63/6). Solve -7*r - 3 = -d - 5*r, 4*d = -2*r - m for d.\n' | b'-1\n' | deepmind/math_dataset |
b'Calculate prob of sequence qzz when three letters picked without replacement from qzqqzqqq.\n' | b'1/28\n' | b'Calculate prob of sequence qzz when three letters picked without replacement from qzqqzqqq.\n' | b'1/28\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {r: 1, n: 1, x: 1, b: 2, c: 1, g: 1}. What is prob of picking 1 c and 1 g?\n' | b'1/21\n' | b'Two letters picked without replacement from {r: 1, n: 1, x: 1, b: 2, c: 1, g: 1}. What is prob of picking 1 c and 1 g?\n' | b'1/21\n' | deepmind/math_dataset |
b'Let w(v) = -2*v - 1. Let n be w(-2). Solve -3*o = -0*o + 2*q + 1, -n*q = o - 9 for o.\n' | b'-3\n' | b'Let w(v) = -2*v - 1. Let n be w(-2). Solve -3*o = -0*o + 2*q + 1, -n*q = o - 9 for o.\n' | b'-3\n' | deepmind/math_dataset |
b'Let j(q) = -q**3 - q**2 - 2. Let h(r) = 69*r**3 - 2*r**2 - 2*r - 20. Let a(u) = h(u) - 2*j(u). Find the second derivative of a(k) wrt k.\n' | b'426*k\n' | b'Let j(q) = -q**3 - q**2 - 2. Let h(r) = 69*r**3 - 2*r**2 - 2*r - 20. Let a(u) = h(u) - 2*j(u). Find the second derivative of a(k) wrt k.\n' | b'426*k\n' | deepmind/math_dataset |
b'Let i(u) = 4*u. Let n be i(3). Suppose 2*c - c = n. Solve -2*b = 5*s + 28, s - 6*b + 2*b = c for s.\n' | b'-4\n' | b'Let i(u) = 4*u. Let n be i(3). Suppose 2*c - c = n. Solve -2*b = 5*s + 28, s - 6*b + 2*b = c for s.\n' | b'-4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from irillriirrlliili. What is prob of picking 3 r?\n' | b'1/140\n' | b'Three letters picked without replacement from irillriirrlliili. What is prob of picking 3 r?\n' | b'1/140\n' | deepmind/math_dataset |
b'Let u(c) be the second derivative of 2261*c**4/6 + 47*c**2/2 - 168*c - 5. Find the first derivative of u(q) wrt q.\n' | b'9044*q\n' | b'Let u(c) be the second derivative of 2261*c**4/6 + 47*c**2/2 - 168*c - 5. Find the first derivative of u(q) wrt q.\n' | b'9044*q\n' | deepmind/math_dataset |
b'Calculate prob of picking 4 q when four letters picked without replacement from {q: 5, v: 3}.\n' | b'1/14\n' | b'Calculate prob of picking 4 q when four letters picked without replacement from {q: 5, v: 3}.\n' | b'1/14\n' | deepmind/math_dataset |
b'What is prob of sequence iii when three letters picked without replacement from iiioiioiiioiioiiii?\n' | b'91/204\n' | b'What is prob of sequence iii when three letters picked without replacement from iiioiioiiioiioiiii?\n' | b'91/204\n' | deepmind/math_dataset |
b'Simplify ((o*o**(-6))/o**(1/3)*o**(-6)*o*o/o**(-1/2)*o)/((o/(o/(o**(-1/5)*o))*o)/o*o**(-1))**(-1/45) assuming o is positive.\n' | b'o**(-3527/450)\n' | b'Simplify ((o*o**(-6))/o**(1/3)*o**(-6)*o*o/o**(-1/2)*o)/((o/(o/(o**(-1/5)*o))*o)/o*o**(-1))**(-1/45) assuming o is positive.\n' | b'o**(-3527/450)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ziizziizzzppziz. What is prob of sequence zzp?\n' | b'8/195\n' | b'Three letters picked without replacement from ziizziizzzppziz. What is prob of sequence zzp?\n' | b'8/195\n' | deepmind/math_dataset |
b'Let r(h) = 16*h + 3 - 8*h - 9*h. Determine r(0).\n' | b'3\n' | b'Let r(h) = 16*h + 3 - 8*h - 9*h. Determine r(0).\n' | b'3\n' | deepmind/math_dataset |
b'Calculate prob of sequence ie when two letters picked without replacement from esiieeeeeeeiiiiseee.\n' | b'11/57\n' | b'Calculate prob of sequence ie when two letters picked without replacement from esiieeeeeeeiiiiseee.\n' | b'11/57\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {m: 3, s: 2}. What is prob of sequence msmm?\n' | b'1/10\n' | b'Four letters picked without replacement from {m: 3, s: 2}. What is prob of sequence msmm?\n' | b'1/10\n' | deepmind/math_dataset |
b'Simplify ((j/((j*(j*j**(12/11)*j)/j)/j*j))/j*j*j**(2/3))/(j**(1/9)/(j*j*(j**7*j)/j*j)) assuming j is positive.\n' | b'j**(838/99)\n' | b'Simplify ((j/((j*(j*j**(12/11)*j)/j)/j*j))/j*j*j**(2/3))/(j**(1/9)/(j*j*(j**7*j)/j*j)) assuming j is positive.\n' | b'j**(838/99)\n' | deepmind/math_dataset |
b'Simplify ((i**(-2/7)*i)**(1/25)/((i/i**5)/(i/(i*i/(i/(i**(-4/7)*i))*i))))**(-22) assuming i is positive.\n' | b'i**(-286/5)\n' | b'Simplify ((i**(-2/7)*i)**(1/25)/((i/i**5)/(i/(i*i/(i/(i**(-4/7)*i))*i))))**(-22) assuming i is positive.\n' | b'i**(-286/5)\n' | deepmind/math_dataset |
b'Let c = 56 - 56. Solve -d = -c*d + 3*a - 2, d - 8 = 3*a for d.\n' | b'5\n' | b'Let c = 56 - 56. Solve -d = -c*d + 3*a - 2, d - 8 = 3*a for d.\n' | b'5\n' | deepmind/math_dataset |
b'Let x(v) = -4 - v**3 + 5*v + 0*v**3 - 5*v**2 + 0*v**3 - v. Let q(s) = -2*s**3 - 10*s**2 + 9*s - 8. Let u(t) = -3*q(t) + 7*x(t). What is u(-5)?\n' | b'-9\n' | b'Let x(v) = -4 - v**3 + 5*v + 0*v**3 - 5*v**2 + 0*v**3 - v. Let q(s) = -2*s**3 - 10*s**2 + 9*s - 8. Let u(t) = -3*q(t) + 7*x(t). What is u(-5)?\n' | b'-9\n' | deepmind/math_dataset |
b'Let z(t) = -9*t**3 + 35*t**2 - 17*t - 8. Let n(b) = 16*b**3 - 65*b**2 + 33*b + 17. Let v(o) = -4*n(o) - 7*z(o). What is v(14)?\n' | b'2\n' | b'Let z(t) = -9*t**3 + 35*t**2 - 17*t - 8. Let n(b) = 16*b**3 - 65*b**2 + 33*b + 17. Let v(o) = -4*n(o) - 7*z(o). What is v(14)?\n' | b'2\n' | deepmind/math_dataset |
b'Let z(c) = -3*c**2 + 0*c - 3*c + c - c**3. Let t be z(-2). Solve 5*v + 2*b - 31 = t, 2*v + 2 = 3*v - b for v.\n' | b'5\n' | b'Let z(c) = -3*c**2 + 0*c - 3*c + c - c**3. Let t be z(-2). Solve 5*v + 2*b - 31 = t, 2*v + 2 = 3*v - b for v.\n' | b'5\n' | deepmind/math_dataset |
b'Let p be 2/7 - 1000/(-28). Let u = 40 - p. Solve -d + 3*m + 0*m = 8, 0 = -u*d - 5*m - 15 for d.\n' | b'-5\n' | b'Let p be 2/7 - 1000/(-28). Let u = 40 - p. Solve -d + 3*m + 0*m = 8, 0 = -u*d - 5*m - 15 for d.\n' | b'-5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from yygygyyyyyyyy. What is prob of sequence yyyg?\n' | b'3/26\n' | b'Four letters picked without replacement from yygygyyyyyyyy. What is prob of sequence yyyg?\n' | b'3/26\n' | deepmind/math_dataset |
b'Two letters picked without replacement from cccixcxxxccccxcccic. Give prob of sequence xx.\n' | b'10/171\n' | b'Two letters picked without replacement from cccixcxxxccccxcccic. Give prob of sequence xx.\n' | b'10/171\n' | deepmind/math_dataset |
b'What is prob of picking 1 y, 1 z, and 1 a when three letters picked without replacement from zzzaayz?\n' | b'8/35\n' | b'What is prob of picking 1 y, 1 z, and 1 a when three letters picked without replacement from zzzaayz?\n' | b'8/35\n' | deepmind/math_dataset |
b'Let k = 853 + -850. Solve 4 = 2*h, -3*y - 2*y = -h - k for y.\n' | b'1\n' | b'Let k = 853 + -850. Solve 4 = 2*h, -3*y - 2*y = -h - k for y.\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of sequence fjj when three letters picked without replacement from {t: 7, f: 3, j: 2}?\n' | b'1/220\n' | b'What is prob of sequence fjj when three letters picked without replacement from {t: 7, f: 3, j: 2}?\n' | b'1/220\n' | deepmind/math_dataset |
b'Let i(v) be the first derivative of -13*v**5/5 - 2*v**3/3 + 51*v - 24. Differentiate i(q) wrt q.\n' | b'-52*q**3 - 4*q\n' | b'Let i(v) be the first derivative of -13*v**5/5 - 2*v**3/3 + 51*v - 24. Differentiate i(q) wrt q.\n' | b'-52*q**3 - 4*q\n' | deepmind/math_dataset |
b'Simplify (i**15*i/(i**5/i)*(i/((i*(((i/(i/(i/(i*i/i**(-5)))))/i)/i)/i*i)/i)*i)**(6/5))**(-1) assuming i is positive.\n' | b'i**(-24)\n' | b'Simplify (i**15*i/(i**5/i)*(i/((i*(((i/(i/(i/(i*i/i**(-5)))))/i)/i)/i*i)/i)*i)**(6/5))**(-1) assuming i is positive.\n' | b'i**(-24)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {q: 3, n: 1, c: 2, f: 1}. Give prob of picking 1 c and 1 n.\n' | b'2/21\n' | b'Two letters picked without replacement from {q: 3, n: 1, c: 2, f: 1}. Give prob of picking 1 c and 1 n.\n' | b'2/21\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ofmoomofmmiooo. What is prob of sequence mm?\n' | b'6/91\n' | b'Two letters picked without replacement from ofmoomofmmiooo. What is prob of sequence mm?\n' | b'6/91\n' | deepmind/math_dataset |
b'Suppose -199*s - 170 = -216*s. Let b(q) = q - 20. Determine b(s).\n' | b'-10\n' | b'Suppose -199*s - 170 = -216*s. Let b(q) = q - 20. Determine b(s).\n' | b'-10\n' | deepmind/math_dataset |
b'Let a(v) = v**3 - 9*v**2 + 3*v - 30. Suppose -3*i + 107 - 101 = -3*o, -2*i + 46 = 4*o. Calculate a(i).\n' | b'-3\n' | b'Let a(v) = v**3 - 9*v**2 + 3*v - 30. Suppose -3*i + 107 - 101 = -3*o, -2*i + 46 = 4*o. Calculate a(i).\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify i*i**(-3)/i*i**(-1/2)*(i/i**0)**(-1/25) assuming i is positive.\n' | b'i**(-177/50)\n' | b'Simplify i*i**(-3)/i*i**(-1/2)*(i/i**0)**(-1/25) assuming i is positive.\n' | b'i**(-177/50)\n' | deepmind/math_dataset |
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