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'Let c(u) be the second derivative of u**7/2520 - u**6/144 - u**5/120 + u**4/6 - 3*u. Let q(l) be the third derivative of c(l). Give q(4).\n' | b'-5\n' | b'Let c(u) be the second derivative of u**7/2520 - u**6/144 - u**5/120 + u**4/6 - 3*u. Let q(l) be the third derivative of c(l). Give q(4).\n' | b'-5\n' | deepmind/math_dataset |
b'Let w(a) = a**2 - 2*a - 672. Let d be w(-25). Solve h + 15 - 34 = -d*j, 0 = -3*h + 3*j - 3 for h.\n' | b'4\n' | b'Let w(a) = a**2 - 2*a - 672. Let d be w(-25). Solve h + 15 - 34 = -d*j, 0 = -3*h + 3*j - 3 for h.\n' | b'4\n' | deepmind/math_dataset |
b'Four letters picked without replacement from hghgdandrggh. What is prob of sequence drgd?\n' | b'1/1485\n' | b'Four letters picked without replacement from hghgdandrggh. What is prob of sequence drgd?\n' | b'1/1485\n' | deepmind/math_dataset |
b'What is prob of sequence baqb when four letters picked without replacement from aqqrbobqhaa?\n' | b'1/440\n' | b'What is prob of sequence baqb when four letters picked without replacement from aqqrbobqhaa?\n' | b'1/440\n' | deepmind/math_dataset |
b'Let i be 1/(-1 + 2) - -2. Differentiate i*n**3 + 0*n**3 + 3*n**3 + 7*n**3 - 1 with respect to n.\n' | b'39*n**2\n' | b'Let i be 1/(-1 + 2) - -2. Differentiate i*n**3 + 0*n**3 + 3*n**3 + 7*n**3 - 1 with respect to n.\n' | b'39*n**2\n' | deepmind/math_dataset |
b'Suppose -4*z = 55*z. Let d(v) be the third derivative of z*v + 1/10*v**5 + 0*v**4 + 0 + 19/120*v**6 + 0*v**3 + 3*v**2. Find the third derivative of d(t) wrt t.\n' | b'114\n' | b'Suppose -4*z = 55*z. Let d(v) be the third derivative of z*v + 1/10*v**5 + 0*v**4 + 0 + 19/120*v**6 + 0*v**3 + 3*v**2. Find the third derivative of d(t) wrt t.\n' | b'114\n' | deepmind/math_dataset |
b'Let l = 93 + -130. Let w = 32 + l. Let z(b) = -b**2 - 6*b - 11. Calculate z(w).\n' | b'-6\n' | b'Let l = 93 + -130. Let w = 32 + l. Let z(b) = -b**2 - 6*b - 11. Calculate z(w).\n' | b'-6\n' | deepmind/math_dataset |
b'Simplify (k/(k*k/((k/k**(-3/5))/k*k)))**(-39)/(k**(1/3))**(-19) assuming k is positive.\n' | b'k**(-256/15)\n' | b'Simplify (k/(k*k/((k/k**(-3/5))/k*k)))**(-39)/(k**(1/3))**(-19) assuming k is positive.\n' | b'k**(-256/15)\n' | deepmind/math_dataset |
b'Let r(d) = 29*d + 27*d - 55*d + 5. Calculate r(5).\n' | b'10\n' | b'Let r(d) = 29*d + 27*d - 55*d + 5. Calculate r(5).\n' | b'10\n' | deepmind/math_dataset |
b'Suppose -i - z - 13 = 3*z, -4*i - 3*z = -13. Let v(o) = 21*o - 17. Let c be v(i). Find the second derivative of 2*x - 4*x**5 - 130*x**4 + c*x**4 wrt x.\n' | b'-80*x**3\n' | b'Suppose -i - z - 13 = 3*z, -4*i - 3*z = -13. Let v(o) = 21*o - 17. Let c be v(i). Find the second derivative of 2*x - 4*x**5 - 130*x**4 + c*x**4 wrt x.\n' | b'-80*x**3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from zwwwezwzzwjwzwz. What is prob of picking 1 w and 2 z?\n' | b'3/13\n' | b'Three letters picked without replacement from zwwwezwzzwjwzwz. What is prob of picking 1 w and 2 z?\n' | b'3/13\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {e: 3, c: 1, j: 3, i: 2, f: 1, r: 2}. What is prob of picking 1 i, 1 f, and 2 e?\n' | b'2/165\n' | b'Four letters picked without replacement from {e: 3, c: 1, j: 3, i: 2, f: 1, r: 2}. What is prob of picking 1 i, 1 f, and 2 e?\n' | b'2/165\n' | deepmind/math_dataset |
b'Let m(s) = s**2 + 6*s - 2. Let v be m(-6). Let b(y) = -33 + 140*y + 33 - 139*y. Determine b(v).\n' | b'-2\n' | b'Let m(s) = s**2 + 6*s - 2. Let v be m(-6). Let b(y) = -33 + 140*y + 33 - 139*y. Determine b(v).\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose 146*c - 139*c = 21. Solve -5*d - 12 = 4*g - c, 45 = 5*g - 5*d for g.\n' | b'4\n' | b'Suppose 146*c - 139*c = 21. Solve -5*d - 12 = 4*g - c, 45 = 5*g - 5*d for g.\n' | b'4\n' | deepmind/math_dataset |
b'What is prob of sequence po when two letters picked without replacement from pooppo?\n' | b'3/10\n' | b'What is prob of sequence po when two letters picked without replacement from pooppo?\n' | b'3/10\n' | deepmind/math_dataset |
b'Simplify ((x*x**(-4))/x)/x**(-3/4)*(x*x**(-4))/(((x*x**(-2/7))/x)/x*x) assuming x is positive.\n' | b'x**(-167/28)\n' | b'Simplify ((x*x**(-4))/x)/x**(-3/4)*(x*x**(-4))/(((x*x**(-2/7))/x)/x*x) assuming x is positive.\n' | b'x**(-167/28)\n' | deepmind/math_dataset |
b'Simplify (i/i**(1/2)*i)**50 assuming i is positive.\n' | b'i**75\n' | b'Simplify (i/i**(1/2)*i)**50 assuming i is positive.\n' | b'i**75\n' | deepmind/math_dataset |
b'Simplify ((g/g**(1/4)*g)**(-2/13)*(g**(-1))**(-2/117))/((g**(-1/9)/g*g*g**(-3/8))/(g**(2/5))**(-1/29)) assuming g is positive.\n' | b'g**(9961/45240)\n' | b'Simplify ((g/g**(1/4)*g)**(-2/13)*(g**(-1))**(-2/117))/((g**(-1/9)/g*g*g**(-3/8))/(g**(2/5))**(-1/29)) assuming g is positive.\n' | b'g**(9961/45240)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from jvicgcdd. What is prob of sequence ji?\n' | b'1/56\n' | b'Two letters picked without replacement from jvicgcdd. What is prob of sequence ji?\n' | b'1/56\n' | deepmind/math_dataset |
b'Let m(g) = -g**3 + 4*g**2 + g - 4. Let a be m(4). Suppose 0 = -4*c + 86 - 70. Suppose c*t + 27 - 7 = a. Let p(v) = -v**3 - 5*v**2 + v + 7. What is p(t)?\n' | b'2\n' | b'Let m(g) = -g**3 + 4*g**2 + g - 4. Let a be m(4). Suppose 0 = -4*c + 86 - 70. Suppose c*t + 27 - 7 = a. Let p(v) = -v**3 - 5*v**2 + v + 7. What is p(t)?\n' | b'2\n' | deepmind/math_dataset |
b'What is prob of picking 3 s when three letters picked without replacement from xssst?\n' | b'1/10\n' | b'What is prob of picking 3 s when three letters picked without replacement from xssst?\n' | b'1/10\n' | deepmind/math_dataset |
b'Suppose 2*o = -5*w + 4 + 10, -3*w + 8 = o. Let f = o - 2. Solve 3 = 2*p - a, -4*p + 5*a - a + 16 = f for p.\n' | b'-1\n' | b'Suppose 2*o = -5*w + 4 + 10, -3*w + 8 = o. Let f = o - 2. Solve 3 = 2*p - a, -4*p + 5*a - a + 16 = f for p.\n' | b'-1\n' | deepmind/math_dataset |
b'What is prob of sequence iddh when four letters picked without replacement from hhyyygidcdiygh?\n' | b'1/2002\n' | b'What is prob of sequence iddh when four letters picked without replacement from hhyyygidcdiygh?\n' | b'1/2002\n' | deepmind/math_dataset |
b'Let f(h) be the third derivative of -h**5/60 - h**4/4 - 5*h**3/6 - 2*h**2. Let m be f(-4). Solve m*o - 2*q + 0*q + 4 = 0, -3*o = 4*q + 10 for o.\n' | b'-2\n' | b'Let f(h) be the third derivative of -h**5/60 - h**4/4 - 5*h**3/6 - 2*h**2. Let m be f(-4). Solve m*o - 2*q + 0*q + 4 = 0, -3*o = 4*q + 10 for o.\n' | b'-2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {o: 3, e: 2, u: 1, d: 1, z: 1, f: 5}. Give prob of picking 1 e and 1 z.\n' | b'1/39\n' | b'Two letters picked without replacement from {o: 3, e: 2, u: 1, d: 1, z: 1, f: 5}. Give prob of picking 1 e and 1 z.\n' | b'1/39\n' | deepmind/math_dataset |
b'What is prob of sequence cis when three letters picked without replacement from {y: 2, x: 5, g: 3, i: 1, c: 2, s: 6}?\n' | b'2/969\n' | b'What is prob of sequence cis when three letters picked without replacement from {y: 2, x: 5, g: 3, i: 1, c: 2, s: 6}?\n' | b'2/969\n' | deepmind/math_dataset |
b'Two letters picked without replacement from xscxxxsxsc. What is prob of picking 1 c and 1 x?\n' | b'2/9\n' | b'Two letters picked without replacement from xscxxxsxsc. What is prob of picking 1 c and 1 x?\n' | b'2/9\n' | deepmind/math_dataset |
b'Let u = 28 - 14. Let j = 16 - u. Solve n + 3*n = -x - 2, 0 = x - n + j for x.\n' | b'-2\n' | b'Let u = 28 - 14. Let j = 16 - u. Solve n + 3*n = -x - 2, 0 = x - n + j for x.\n' | b'-2\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 y and 1 l when two letters picked without replacement from {l: 1, b: 2, w: 3, y: 1, q: 4, v: 4}.\n' | b'1/105\n' | b'Calculate prob of picking 1 y and 1 l when two letters picked without replacement from {l: 1, b: 2, w: 3, y: 1, q: 4, v: 4}.\n' | b'1/105\n' | deepmind/math_dataset |
b'Simplify (v**(2/7)/(v/v**(-5)))/((v*v**(-1/4)/v)/v**5)*(v/v**(-3/2)*v**(1/2)/v)**13 assuming v is positive.\n' | b'v**(715/28)\n' | b'Simplify (v**(2/7)/(v/v**(-5)))/((v*v**(-1/4)/v)/v**5)*(v/v**(-3/2)*v**(1/2)/v)**13 assuming v is positive.\n' | b'v**(715/28)\n' | deepmind/math_dataset |
b'What is prob of sequence jmm when three letters picked without replacement from {e: 1, u: 4, j: 4, m: 2}?\n' | b'4/495\n' | b'What is prob of sequence jmm when three letters picked without replacement from {e: 1, u: 4, j: 4, m: 2}?\n' | b'4/495\n' | deepmind/math_dataset |
b'Simplify (q*q/q**(-2/45)*q*q*q/(q/q**(1/5)))/(((q/(q*q**(16/3)*q))/q)/q*q)**(-8/11) assuming q is positive.\n' | b'q**(-49/45)\n' | b'Simplify (q*q/q**(-2/45)*q*q*q/(q/q**(1/5)))/(((q/(q*q**(16/3)*q))/q)/q*q)**(-8/11) assuming q is positive.\n' | b'q**(-49/45)\n' | deepmind/math_dataset |
b'Suppose -x = x - 4. Find the third derivative of 0*k**x + k**2 + k**6 - 2*k**2 - 4*k**2 wrt k.\n' | b'120*k**3\n' | b'Suppose -x = x - 4. Find the third derivative of 0*k**x + k**2 + k**6 - 2*k**2 - 4*k**2 wrt k.\n' | b'120*k**3\n' | deepmind/math_dataset |
b'Let r be 2/(-5) + 1207/355. Solve -4*p = -r*u + 8*u + 15, -5*u + 10 = -p for p.\n' | b'-5\n' | b'Let r be 2/(-5) + 1207/355. Solve -4*p = -r*u + 8*u + 15, -5*u + 10 = -p for p.\n' | b'-5\n' | deepmind/math_dataset |
b'Let n = 331 + -327. Solve -q = -2*a + a - 1, -5*q + 5 = -n*a for a.\n' | b'0\n' | b'Let n = 331 + -327. Solve -q = -2*a + a - 1, -5*q + 5 = -n*a for a.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify (x**(-2/7))**44/(x**4/(x/(x/((x/x**(-1/8))/x))))*(x*x**6*x**9)**34 assuming x is positive.\n' | b'x**(29543/56)\n' | b'Simplify (x**(-2/7))**44/(x**4/(x/(x/((x/x**(-1/8))/x))))*(x*x**6*x**9)**34 assuming x is positive.\n' | b'x**(29543/56)\n' | deepmind/math_dataset |
b'Let s be (-4 + 8 + -3)*3. Let a(g) = g**2 - 2*g + g - s - g**3 - 2*g**2 + 0*g. Give a(0).\n' | b'-3\n' | b'Let s be (-4 + 8 + -3)*3. Let a(g) = g**2 - 2*g + g - s - g**3 - 2*g**2 + 0*g. Give a(0).\n' | b'-3\n' | deepmind/math_dataset |
b'Suppose 5*u - 3*u - 4 = 0. Let i(l) be the second derivative of -4*l**3 + u*l**3 - 26*l - 3*l**2 + l**3. Differentiate i(t) wrt t.\n' | b'-6\n' | b'Suppose 5*u - 3*u - 4 = 0. Let i(l) be the second derivative of -4*l**3 + u*l**3 - 26*l - 3*l**2 + l**3. Differentiate i(t) wrt t.\n' | b'-6\n' | deepmind/math_dataset |
b'Suppose -13 = -3*o - 1, -v - 8 = -2*o. Solve 0*u + 4*d - 6 = 3*u, -2*d + 6 = v for u.\n' | b'2\n' | b'Suppose -13 = -3*o - 1, -v - 8 = -2*o. Solve 0*u + 4*d - 6 = 3*u, -2*d + 6 = v for u.\n' | b'2\n' | deepmind/math_dataset |
b'Let g(j) be the second derivative of 0*j**3 + 3/2*j**2 + 0*j**5 + 1/15*j**6 + 0 + 2*j + 0*j**4. What is the derivative of g(n) wrt n?\n' | b'8*n**3\n' | b'Let g(j) be the second derivative of 0*j**3 + 3/2*j**2 + 0*j**5 + 1/15*j**6 + 0 + 2*j + 0*j**4. What is the derivative of g(n) wrt n?\n' | b'8*n**3\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 h and 2 t when three letters picked without replacement from {l: 3, f: 2, b: 3, h: 3, t: 3, o: 3}.\n' | b'9/680\n' | b'Calculate prob of picking 1 h and 2 t when three letters picked without replacement from {l: 3, f: 2, b: 3, h: 3, t: 3, o: 3}.\n' | b'9/680\n' | deepmind/math_dataset |
b'Let y be (32/40)/(4/90). Suppose 2*u - 44 = -2*x, -x = -u - 0*x + y. Solve 2*b - 5*i = -11, 5*b - u + 1 = -3*i for b.\n' | b'2\n' | b'Let y be (32/40)/(4/90). Suppose 2*u - 44 = -2*x, -x = -u - 0*x + y. Solve 2*b - 5*i = -11, 5*b - u + 1 = -3*i for b.\n' | b'2\n' | deepmind/math_dataset |
b'Suppose 4*u = 5*b + 11, -5*u + 17 = -0*b - 3*b. Suppose 0*j - k = 3*j - u, -14 = 2*j + 4*k. Find the second derivative of 0*r**2 - j*r**2 + r**2 + 2*r wrt r.\n' | b'-4\n' | b'Suppose 4*u = 5*b + 11, -5*u + 17 = -0*b - 3*b. Suppose 0*j - k = 3*j - u, -14 = 2*j + 4*k. Find the second derivative of 0*r**2 - j*r**2 + r**2 + 2*r wrt r.\n' | b'-4\n' | deepmind/math_dataset |
b'Calculate prob of sequence kbh when three letters picked without replacement from tztkbtthbhht.\n' | b'1/220\n' | b'Calculate prob of sequence kbh when three letters picked without replacement from tztkbtthbhht.\n' | b'1/220\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 f and 1 l when two letters picked without replacement from foileieofoqleeq.\n' | b'4/105\n' | b'Calculate prob of picking 1 f and 1 l when two letters picked without replacement from foileieofoqleeq.\n' | b'4/105\n' | deepmind/math_dataset |
b'Simplify ((w/w**(2/3))/(w*w**(9/2)*w))/(w/w**(2/11))**(-2/47) assuming w is positive.\n' | b'w**(-19021/3102)\n' | b'Simplify ((w/w**(2/3))/(w*w**(9/2)*w))/(w/w**(2/11))**(-2/47) assuming w is positive.\n' | b'w**(-19021/3102)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {w: 6, q: 1, p: 4, a: 3, h: 2, n: 3}. What is prob of picking 1 q, 1 a, 1 h, and 1 p?\n' | b'2/323\n' | b'Four letters picked without replacement from {w: 6, q: 1, p: 4, a: 3, h: 2, n: 3}. What is prob of picking 1 q, 1 a, 1 h, and 1 p?\n' | b'2/323\n' | deepmind/math_dataset |
b'Simplify (c**38/c)/c**(27/7) assuming c is positive.\n' | b'c**(232/7)\n' | b'Simplify (c**38/c)/c**(27/7) assuming c is positive.\n' | b'c**(232/7)\n' | deepmind/math_dataset |
b'Suppose 100 = 763*u - 761*u. Solve -x + 7 = -4*r, r - u + 39 = -4*x for r.\n' | b'-1\n' | b'Suppose 100 = 763*u - 761*u. Solve -x + 7 = -4*r, r - u + 39 = -4*x for r.\n' | b'-1\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 g and 1 m when two letters picked without replacement from {z: 6, m: 1, e: 8, d: 1, g: 3}.\n' | b'1/57\n' | b'Calculate prob of picking 1 g and 1 m when two letters picked without replacement from {z: 6, m: 1, e: 8, d: 1, g: 3}.\n' | b'1/57\n' | deepmind/math_dataset |
b'Let p(q) = -35*q**3 + q**2 - 10*q - 3. Let c(h) = h**3 + h**2 + 2*h - 1. Let f(g) = 3*c(g) - p(g). Find the second derivative of f(u) wrt u.\n' | b'228*u + 4\n' | b'Let p(q) = -35*q**3 + q**2 - 10*q - 3. Let c(h) = h**3 + h**2 + 2*h - 1. Let f(g) = 3*c(g) - p(g). Find the second derivative of f(u) wrt u.\n' | b'228*u + 4\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 l and 1 h when two letters picked without replacement from dzhzhlhzzbzx.\n' | b'1/22\n' | b'Calculate prob of picking 1 l and 1 h when two letters picked without replacement from dzhzhlhzzbzx.\n' | b'1/22\n' | deepmind/math_dataset |
b'Let p = 498 - 495. Let s(d) = 7*d - 8. What is s(p)?\n' | b'13\n' | b'Let p = 498 - 495. Let s(d) = 7*d - 8. What is s(p)?\n' | b'13\n' | deepmind/math_dataset |
b'Suppose -d + 23 = 2*x - 6*x, -2*d - 5*x + 59 = 0. Suppose 5*k + 3*c + c - 3 = 0, 0 = -4*k + 5*c + d. Let t(m) = 3*m**2 - 5*m + 2. Calculate t(k).\n' | b'14\n' | b'Suppose -d + 23 = 2*x - 6*x, -2*d - 5*x + 59 = 0. Suppose 5*k + 3*c + c - 3 = 0, 0 = -4*k + 5*c + d. Let t(m) = 3*m**2 - 5*m + 2. Calculate t(k).\n' | b'14\n' | deepmind/math_dataset |
b'Let o(c) = 51*c**2 + 2. Let k be o(1). Differentiate f + k*f + 68 + 26*f wrt f.\n' | b'80\n' | b'Let o(c) = 51*c**2 + 2. Let k be o(1). Differentiate f + k*f + 68 + 26*f wrt f.\n' | b'80\n' | deepmind/math_dataset |
b'Simplify (h*h*h**19*h*h)**(-23)*((h*h/h**23*h*h)/h)**13 assuming h is positive.\n' | b'h**(-789)\n' | b'Simplify (h*h*h**19*h*h)**(-23)*((h*h/h**23*h*h)/h)**13 assuming h is positive.\n' | b'h**(-789)\n' | deepmind/math_dataset |
b'Let u(g) = -8*g - 14. Let m(f) = 24*f + 42. Let l(z) = 3*m(z) + 8*u(z). Differentiate l(t) with respect to t.\n' | b'8\n' | b'Let u(g) = -8*g - 14. Let m(f) = 24*f + 42. Let l(z) = 3*m(z) + 8*u(z). Differentiate l(t) with respect to t.\n' | b'8\n' | deepmind/math_dataset |
b'Suppose f + 2 = 2*f. Let r be -1*(1 + -3) - -1. Solve -6*j = -3*j - r*t + 18, -4 = -f*t for j.\n' | b'-4\n' | b'Suppose f + 2 = 2*f. Let r be -1*(1 + -3) - -1. Solve -6*j = -3*j - r*t + 18, -4 = -f*t for j.\n' | b'-4\n' | deepmind/math_dataset |
b'Let q(z) = 4*z**3 - z**2 + 2*z - 1. Let j be q(1). Suppose -j*r - r + 5 = 0. Let i(n) = -r - 1 + 2*n - 4*n. Determine i(-4).\n' | b'6\n' | b'Let q(z) = 4*z**3 - z**2 + 2*z - 1. Let j be q(1). Suppose -j*r - r + 5 = 0. Let i(n) = -r - 1 + 2*n - 4*n. Determine i(-4).\n' | b'6\n' | deepmind/math_dataset |
b'Two letters picked without replacement from tjtttttttttjtjtjttjt. Give prob of sequence tj.\n' | b'15/76\n' | b'Two letters picked without replacement from tjtttttttttjtjtjttjt. Give prob of sequence tj.\n' | b'15/76\n' | deepmind/math_dataset |
b'Two letters picked without replacement from eumuze. Give prob of picking 2 u.\n' | b'1/15\n' | b'Two letters picked without replacement from eumuze. Give prob of picking 2 u.\n' | b'1/15\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {z: 1, i: 17}. Give prob of sequence zii.\n' | b'1/18\n' | b'Three letters picked without replacement from {z: 1, i: 17}. Give prob of sequence zii.\n' | b'1/18\n' | deepmind/math_dataset |
b'Let a be 2/12 + -8 + (-2086)/(-84). Solve x + s = 0, a*x - 2 = 13*x - 2*s for x.\n' | b'1\n' | b'Let a be 2/12 + -8 + (-2086)/(-84). Solve x + s = 0, a*x - 2 = 13*x - 2*s for x.\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of sequence rrl when three letters picked without replacement from {r: 6, l: 4}?\n' | b'1/6\n' | b'What is prob of sequence rrl when three letters picked without replacement from {r: 6, l: 4}?\n' | b'1/6\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {v: 3, e: 2}. Give prob of sequence eeev.\n' | b'0\n' | b'Four letters picked without replacement from {v: 3, e: 2}. Give prob of sequence eeev.\n' | b'0\n' | deepmind/math_dataset |
b'Suppose -4*b = b + 2*k - 12, -5*k = 5*b - 15. Suppose -2*x + x = -b. Let n(f) = -f**2 + 0*f**x - 4*f**2 + 4*f**2 - 4 - 8*f. Calculate n(-6).\n' | b'8\n' | b'Suppose -4*b = b + 2*k - 12, -5*k = 5*b - 15. Suppose -2*x + x = -b. Let n(f) = -f**2 + 0*f**x - 4*f**2 + 4*f**2 - 4 - 8*f. Calculate n(-6).\n' | b'8\n' | deepmind/math_dataset |
b'Let s(m) = 38*m - 73*m - 7 + 33*m. Give s(-6).\n' | b'5\n' | b'Let s(m) = 38*m - 73*m - 7 + 33*m. Give s(-6).\n' | b'5\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 t when two letters picked without replacement from zztztzzztz.\n' | b'1/15\n' | b'Calculate prob of picking 2 t when two letters picked without replacement from zztztzzztz.\n' | b'1/15\n' | deepmind/math_dataset |
b'Suppose -5*i + 11 - 1 = 0. Find the third derivative of 2*b**i + 3*b**2 - 3*b**4 + b**2 wrt b.\n' | b'-72*b\n' | b'Suppose -5*i + 11 - 1 = 0. Find the third derivative of 2*b**i + 3*b**2 - 3*b**4 + b**2 wrt b.\n' | b'-72*b\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {s: 2, u: 1, o: 1, z: 1, a: 2, c: 1}. Give prob of sequence us.\n' | b'1/28\n' | b'Two letters picked without replacement from {s: 2, u: 1, o: 1, z: 1, a: 2, c: 1}. Give prob of sequence us.\n' | b'1/28\n' | deepmind/math_dataset |
b'Simplify (q**9/q)**5*q**(2/7)*(q/(q*q**(1/14)))/q assuming q is positive.\n' | b'q**(549/14)\n' | b'Simplify (q**9/q)**5*q**(2/7)*(q/(q*q**(1/14)))/q assuming q is positive.\n' | b'q**(549/14)\n' | deepmind/math_dataset |
b'Let s(m) be the third derivative of m**9/60480 + m**7/2520 + m**5/30 - m**2. Let o(l) be the third derivative of s(l). Find the second derivative of o(f) wrt f.\n' | b'6*f\n' | b'Let s(m) be the third derivative of m**9/60480 + m**7/2520 + m**5/30 - m**2. Let o(l) be the third derivative of s(l). Find the second derivative of o(f) wrt f.\n' | b'6*f\n' | deepmind/math_dataset |
b'Simplify (((f*f**(-10)*f)/(f**12/f))**(-3/47))**(2/13) assuming f is positive.\n' | b'f**(114/611)\n' | b'Simplify (((f*f**(-10)*f)/(f**12/f))**(-3/47))**(2/13) assuming f is positive.\n' | b'f**(114/611)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 w, 1 n, and 1 c when three letters picked without replacement from ssfwcnwgcsws.\n' | b'3/110\n' | b'Calculate prob of picking 1 w, 1 n, and 1 c when three letters picked without replacement from ssfwcnwgcsws.\n' | b'3/110\n' | deepmind/math_dataset |
b'Two letters picked without replacement from uuuzuzvzvuuu. Give prob of sequence vz.\n' | b'1/22\n' | b'Two letters picked without replacement from uuuzuzvzvuuu. Give prob of sequence vz.\n' | b'1/22\n' | deepmind/math_dataset |
b'Let d(q) = q**2 - 5*q + 7. Let u be d(2). Let t be -2 - 126/(-14) - 7. Solve -z = -j - u, 3*j + 27 = -3*z - t*z for j.\n' | b'-5\n' | b'Let d(q) = q**2 - 5*q + 7. Let u be d(2). Let t be -2 - 126/(-14) - 7. Solve -z = -j - u, 3*j + 27 = -3*z - t*z for j.\n' | b'-5\n' | deepmind/math_dataset |
b'Let v = 2859 - 2878. Let n(z) = -2*z - 26. Give n(v).\n' | b'12\n' | b'Let v = 2859 - 2878. Let n(z) = -2*z - 26. Give n(v).\n' | b'12\n' | deepmind/math_dataset |
b'Two letters picked without replacement from wcgcngncccncng. What is prob of picking 1 c and 1 w?\n' | b'6/91\n' | b'Two letters picked without replacement from wcgcngncccncng. What is prob of picking 1 c and 1 w?\n' | b'6/91\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ngcyvygsysvvg. Give prob of sequence gnss.\n' | b'1/2860\n' | b'Four letters picked without replacement from ngcyvygsysvvg. Give prob of sequence gnss.\n' | b'1/2860\n' | deepmind/math_dataset |
b'Suppose 8 = t + 4*c + 25, 5*t + 2*c = 5. Let l(h) = -4*h - 6 + 2*h + t*h. Calculate l(6).\n' | b'0\n' | b'Suppose 8 = t + 4*c + 25, 5*t + 2*c = 5. Let l(h) = -4*h - 6 + 2*h + t*h. Calculate l(6).\n' | b'0\n' | deepmind/math_dataset |
b'Simplify (((i**(-3/5)*i/(i*(i**(-2/7)*i*i*i)/i*i))**(-13/4))**(1/15))**1 assuming i is positive.\n' | b'i**(377/525)\n' | b'Simplify (((i**(-3/5)*i/(i*(i**(-2/7)*i*i*i)/i*i))**(-13/4))**(1/15))**1 assuming i is positive.\n' | b'i**(377/525)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 x and 1 i when two letters picked without replacement from {i: 4, a: 1, o: 2, z: 1, x: 7, k: 5}.\n' | b'14/95\n' | b'Calculate prob of picking 1 x and 1 i when two letters picked without replacement from {i: 4, a: 1, o: 2, z: 1, x: 7, k: 5}.\n' | b'14/95\n' | deepmind/math_dataset |
b'Let v(k) be the first derivative of k**8/112 + k**4/24 - 3*k**2/2 - 3. Let u(c) be the second derivative of v(c). What is the second derivative of u(x) wrt x?\n' | b'60*x**3\n' | b'Let v(k) be the first derivative of k**8/112 + k**4/24 - 3*k**2/2 - 3. Let u(c) be the second derivative of v(c). What is the second derivative of u(x) wrt x?\n' | b'60*x**3\n' | deepmind/math_dataset |
b'Let g(p) be the first derivative of 7*p**3/3 - 3*p**2/2 + 5*p - 2700. Determine g(2).\n' | b'27\n' | b'Let g(p) be the first derivative of 7*p**3/3 - 3*p**2/2 + 5*p - 2700. Determine g(2).\n' | b'27\n' | deepmind/math_dataset |
b'Let j = -106 + 104. Let b be 3/(-6)*j*4. Solve -2*w + 16 = -4*s, b*s + 3*w - 2*w + 10 = 0 for s.\n' | b'-3\n' | b'Let j = -106 + 104. Let b be 3/(-6)*j*4. Solve -2*w + 16 = -4*s, b*s + 3*w - 2*w + 10 = 0 for s.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify (v*v/(v/v**15*v))**(-23) assuming v is positive.\n' | b'v**(-345)\n' | b'Simplify (v*v/(v/v**15*v))**(-23) assuming v is positive.\n' | b'v**(-345)\n' | deepmind/math_dataset |
b'What is prob of picking 1 u and 3 j when four letters picked without replacement from {j: 8, u: 2}?\n' | b'8/15\n' | b'What is prob of picking 1 u and 3 j when four letters picked without replacement from {j: 8, u: 2}?\n' | b'8/15\n' | deepmind/math_dataset |
b'Let s be (-1)/(-4) + (-5225)/(-44) + -3. Let q = s - 114. Solve 3*n = -4*h - 28, -2*h - 3*h - q*n - 28 = 0 for h.\n' | b'-4\n' | b'Let s be (-1)/(-4) + (-5225)/(-44) + -3. Let q = s - 114. Solve 3*n = -4*h - 28, -2*h - 3*h - q*n - 28 = 0 for h.\n' | b'-4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {e: 3, h: 4, a: 11}. What is prob of sequence aah?\n' | b'55/612\n' | b'Three letters picked without replacement from {e: 3, h: 4, a: 11}. What is prob of sequence aah?\n' | b'55/612\n' | deepmind/math_dataset |
b'Suppose -16 + 0 = 4*f. Let n(x) = x - 1. What is n(f)?\n' | b'-5\n' | b'Suppose -16 + 0 = 4*f. Let n(x) = x - 1. What is n(f)?\n' | b'-5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {k: 1, p: 3, f: 1, g: 1, q: 5, u: 2}. Give prob of picking 1 g and 3 p.\n' | b'1/715\n' | b'Four letters picked without replacement from {k: 1, p: 3, f: 1, g: 1, q: 5, u: 2}. Give prob of picking 1 g and 3 p.\n' | b'1/715\n' | deepmind/math_dataset |
b'Suppose -13*d = -18*d + 20. Solve 4*m = -0*m - x - 8, d*m + 24 = 3*x for m.\n' | b'-3\n' | b'Suppose -13*d = -18*d + 20. Solve 4*m = -0*m - x - 8, d*m + 24 = 3*x for m.\n' | b'-3\n' | deepmind/math_dataset |
b'Let j(s) = s**3 - 9*s**2 - 8*s - 14. Let z be j(10). Find the second derivative of -u**5 - z + 6 - 7*u + 3*u**5 wrt u.\n' | b'40*u**3\n' | b'Let j(s) = s**3 - 9*s**2 - 8*s - 14. Let z be j(10). Find the second derivative of -u**5 - z + 6 - 7*u + 3*u**5 wrt u.\n' | b'40*u**3\n' | deepmind/math_dataset |
b'Let g(s) be the second derivative of s**3/2 - s**2 - 32*s. Determine g(-2).\n' | b'-8\n' | b'Let g(s) be the second derivative of s**3/2 - s**2 - 32*s. Determine g(-2).\n' | b'-8\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 x when three letters picked without replacement from {q: 4, i: 4, x: 8}.\n' | b'1/10\n' | b'Calculate prob of picking 3 x when three letters picked without replacement from {q: 4, i: 4, x: 8}.\n' | b'1/10\n' | deepmind/math_dataset |
b'Suppose -3*y - 161 = -5*s + 27, -5*s + 2*y = -192. Suppose -v = 4*v - s. Solve -k - 4*z = -z + v, -5*z - 24 = -k for k.\n' | b'4\n' | b'Suppose -3*y - 161 = -5*s + 27, -5*s + 2*y = -192. Suppose -v = 4*v - s. Solve -k - 4*z = -z + v, -5*z - 24 = -k for k.\n' | b'4\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {t: 11, y: 2}. What is prob of picking 1 y and 3 t?\n' | b'6/13\n' | b'Four letters picked without replacement from {t: 11, y: 2}. What is prob of picking 1 y and 3 t?\n' | b'6/13\n' | deepmind/math_dataset |
b'Let w(z) = -2*z**2 + 78*z - 144. Let y be w(37). Solve -3*r - 12 = -3*p + 3, p = y*r + 11 for p.\n' | b'3\n' | b'Let w(z) = -2*z**2 + 78*z - 144. Let y be w(37). Solve -3*r - 12 = -3*p + 3, p = y*r + 11 for p.\n' | b'3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {q: 6, p: 4, k: 1}. What is prob of sequence pkp?\n' | b'2/165\n' | b'Three letters picked without replacement from {q: 6, p: 4, k: 1}. What is prob of sequence pkp?\n' | b'2/165\n' | deepmind/math_dataset |
b'Let t(b) = 3*b**2 + b + 3. Let l(y) = -52*y + 778. Let g be l(15). Calculate t(g).\n' | b'13\n' | b'Let t(b) = 3*b**2 + b + 3. Let l(y) = -52*y + 778. Let g be l(15). Calculate t(g).\n' | b'13\n' | deepmind/math_dataset |
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