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 -523*z + 487*z + 156 + 204 = 0. Solve 5*s + 4*t = 21, 7*s = z*s + t - 14 for s.\n' | b'5\n' | b'Suppose -523*z + 487*z + 156 + 204 = 0. Solve 5*s + 4*t = 21, 7*s = z*s + t - 14 for s.\n' | b'5\n' | deepmind/math_dataset |
b'Find the third derivative of -6*x**5 - 8*x**2 + 0*x**5 + 4*x**2 + x**2 wrt x.\n' | b'-360*x**2\n' | b'Find the third derivative of -6*x**5 - 8*x**2 + 0*x**5 + 4*x**2 + x**2 wrt x.\n' | b'-360*x**2\n' | deepmind/math_dataset |
b'Calculate prob of sequence ypxr when four letters picked without replacement from prrrryxprry.\n' | b'1/330\n' | b'Calculate prob of sequence ypxr when four letters picked without replacement from prrrryxprry.\n' | b'1/330\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {q: 2, d: 1, w: 1}. Give prob of picking 1 d and 1 w.\n' | b'1/6\n' | b'Two letters picked without replacement from {q: 2, d: 1, w: 1}. Give prob of picking 1 d and 1 w.\n' | b'1/6\n' | deepmind/math_dataset |
b'Let n(v) = -7*v**2 - 2*v**2 + 2*v**2 - v**3 - 5*v + 3. Suppose 3*p + 32 = -w - 3*w, 27 = -w + 4*p. Let a be 132/w*(-2)/(-4). What is n(a)?\n' | b'-3\n' | b'Let n(v) = -7*v**2 - 2*v**2 + 2*v**2 - v**3 - 5*v + 3. Suppose 3*p + 32 = -w - 3*w, 27 = -w + 4*p. Let a be 132/w*(-2)/(-4). What is n(a)?\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify (((r/(r*r**(-4/9)*r))/(r/(r/(r**14*r))))/(r**(-2/5)/r**(-3/4)))**(-11) assuming r is positive.\n' | b'r**(31493/180)\n' | b'Simplify (((r/(r*r**(-4/9)*r))/(r/(r/(r**14*r))))/(r**(-2/5)/r**(-3/4)))**(-11) assuming r is positive.\n' | b'r**(31493/180)\n' | deepmind/math_dataset |
b'Let p be (-2)/5 - 183/5. Let x = -35 - p. Suppose -x*m + 2 = -m. Let t(a) = -3*a**3 + a**2 + a. Determine t(m).\n' | b'-18\n' | b'Let p be (-2)/5 - 183/5. Let x = -35 - p. Suppose -x*m + 2 = -m. Let t(a) = -3*a**3 + a**2 + a. Determine t(m).\n' | b'-18\n' | deepmind/math_dataset |
b'Let v = 11 - 8. Let b = 3352 + -3349. Solve -3*z - z + 5 = 5*x, 3*x = -b*z + v for x.\n' | b'1\n' | b'Let v = 11 - 8. Let b = 3352 + -3349. Solve -3*z - z + 5 = 5*x, 3*x = -b*z + v for x.\n' | b'1\n' | deepmind/math_dataset |
b'Let v = 24 + -17. Let l(b) = 3*b - 10. Let f = -19 - -24. Let w be l(f). Solve 4*k + 0*k - 5*d = v, -5*k + w*d + 10 = 0 for k.\n' | b'3\n' | b'Let v = 24 + -17. Let l(b) = 3*b - 10. Let f = -19 - -24. Let w be l(f). Solve 4*k + 0*k - 5*d = v, -5*k + w*d + 10 = 0 for k.\n' | b'3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from mmmttttttm. Give prob of picking 3 t.\n' | b'1/6\n' | b'Three letters picked without replacement from mmmttttttm. Give prob of picking 3 t.\n' | b'1/6\n' | deepmind/math_dataset |
b'Let k(s) = -14847*s + 18*s**2 - s**3 + 13 - 39 + 14816*s. Calculate k(16).\n' | b'-10\n' | b'Let k(s) = -14847*s + 18*s**2 - s**3 + 13 - 39 + 14816*s. Calculate k(16).\n' | b'-10\n' | deepmind/math_dataset |
b'Let q(i) = i - 23. Let u be q(14). Let o be (6/u)/(1 - (-8)/(-6)). Solve -3*d - 5*f = -f - 17, -f = 3*d - o for d.\n' | b'-1\n' | b'Let q(i) = i - 23. Let u be q(14). Let o be (6/u)/(1 - (-8)/(-6)). Solve -3*d - 5*f = -f - 17, -f = 3*d - o for d.\n' | b'-1\n' | deepmind/math_dataset |
b'What is prob of picking 2 j when two letters picked without replacement from ttjttttjtttttttjtt?\n' | b'1/51\n' | b'What is prob of picking 2 j when two letters picked without replacement from ttjttttjtttttttjtt?\n' | b'1/51\n' | deepmind/math_dataset |
b'Let h be 404/20 - (1 - (-4)/(-5)). Let b(q) = q**2 - 18*q - 35. Let u be b(h). Let g(f) = f**3 - 5*f**2 - 2*f - 2. Determine g(u).\n' | b'-12\n' | b'Let h be 404/20 - (1 - (-4)/(-5)). Let b(q) = q**2 - 18*q - 35. Let u be b(h). Let g(f) = f**3 - 5*f**2 - 2*f - 2. Determine g(u).\n' | b'-12\n' | deepmind/math_dataset |
b'Simplify ((((o*o*o**(-1)*o)/o)/o*o)/(o**(1/20)/o*o))/((o**18/o)/o**13) assuming o is positive.\n' | b'o**(-61/20)\n' | b'Simplify ((((o*o*o**(-1)*o)/o)/o*o)/(o**(1/20)/o*o))/((o**18/o)/o**13) assuming o is positive.\n' | b'o**(-61/20)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {e: 1, v: 2, l: 1, r: 1}. Give prob of sequence rlv.\n' | b'1/30\n' | b'Three letters picked without replacement from {e: 1, v: 2, l: 1, r: 1}. Give prob of sequence rlv.\n' | b'1/30\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 b and 1 r when two letters picked without replacement from {b: 1, c: 3, s: 3, r: 6, y: 2}.\n' | b'2/35\n' | b'Calculate prob of picking 1 b and 1 r when two letters picked without replacement from {b: 1, c: 3, s: 3, r: 6, y: 2}.\n' | b'2/35\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {z: 7, y: 3}. Give prob of sequence zyy.\n' | b'7/120\n' | b'Three letters picked without replacement from {z: 7, y: 3}. Give prob of sequence zyy.\n' | b'7/120\n' | deepmind/math_dataset |
b'What is prob of sequence hxx when three letters picked without replacement from hhhhhhhhhhhxhhhhhhhx?\n' | b'1/190\n' | b'What is prob of sequence hxx when three letters picked without replacement from hhhhhhhhhhhxhhhhhhhx?\n' | b'1/190\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 a when two letters picked without replacement from {y: 2, f: 2, s: 2, a: 3}.\n' | b'1/12\n' | b'Calculate prob of picking 2 a when two letters picked without replacement from {y: 2, f: 2, s: 2, a: 3}.\n' | b'1/12\n' | deepmind/math_dataset |
b'What is prob of sequence nn when two letters picked without replacement from {w: 2, n: 4}?\n' | b'2/5\n' | b'What is prob of sequence nn when two letters picked without replacement from {w: 2, n: 4}?\n' | b'2/5\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 t and 1 h when two letters picked without replacement from fctottcchttt.\n' | b'1/11\n' | b'Calculate prob of picking 1 t and 1 h when two letters picked without replacement from fctottcchttt.\n' | b'1/11\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 x and 2 a when four letters picked without replacement from {c: 3, z: 1, w: 1, x: 2, a: 6}.\n' | b'3/143\n' | b'Calculate prob of picking 2 x and 2 a when four letters picked without replacement from {c: 3, z: 1, w: 1, x: 2, a: 6}.\n' | b'3/143\n' | deepmind/math_dataset |
b'What is prob of sequence qvq when three letters picked without replacement from {q: 7, v: 6}?\n' | b'21/143\n' | b'What is prob of sequence qvq when three letters picked without replacement from {q: 7, v: 6}?\n' | b'21/143\n' | deepmind/math_dataset |
b'Let y(v) be the first derivative of -7*v**4/2 - 3*v**3/2 + 33*v + 39. Let j(f) be the first derivative of y(f). Find the second derivative of j(o) wrt o.\n' | b'-84\n' | b'Let y(v) be the first derivative of -7*v**4/2 - 3*v**3/2 + 33*v + 39. Let j(f) be the first derivative of y(f). Find the second derivative of j(o) wrt o.\n' | b'-84\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 t when two letters picked without replacement from {t: 2, v: 4, j: 3, c: 1, e: 1}.\n' | b'1/55\n' | b'Calculate prob of picking 2 t when two letters picked without replacement from {t: 2, v: 4, j: 3, c: 1, e: 1}.\n' | b'1/55\n' | deepmind/math_dataset |
b'Let w(y) = y**2 - 2*y - 6. Let j be (111/148)/(9/4 - 2). Calculate w(j).\n' | b'-3\n' | b'Let w(y) = y**2 - 2*y - 6. Let j be (111/148)/(9/4 - 2). Calculate w(j).\n' | b'-3\n' | deepmind/math_dataset |
b'Let z = -10672 + 10672. Let b(k) be the first derivative of 3*k + 14/3*k**3 + z*k**2 + 22. Differentiate b(v) wrt v.\n' | b'28*v\n' | b'Let z = -10672 + 10672. Let b(k) be the first derivative of 3*k + 14/3*k**3 + z*k**2 + 22. Differentiate b(v) wrt v.\n' | b'28*v\n' | deepmind/math_dataset |
b'Simplify (o*o*o**(2/3)/o*o*o/(o/(o**(3/7)/o*o*o))*o*o*o**6*o*o**(2/13))**(8/13) assuming o is positive.\n' | b'o**(28936/3549)\n' | b'Simplify (o*o*o**(2/3)/o*o*o/(o/(o**(3/7)/o*o*o))*o*o*o**6*o*o**(2/13))**(8/13) assuming o is positive.\n' | b'o**(28936/3549)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from pepsllbnbpbel. Give prob of sequence np.\n' | b'1/52\n' | b'Two letters picked without replacement from pepsllbnbpbel. Give prob of sequence np.\n' | b'1/52\n' | deepmind/math_dataset |
b'Let l(z) = -4*z**3. Suppose 6 = 15*p - 9*p. What is l(p)?\n' | b'-4\n' | b'Let l(z) = -4*z**3. Suppose 6 = 15*p - 9*p. What is l(p)?\n' | b'-4\n' | deepmind/math_dataset |
b'Let x(z) = 3*z**2 + 16*z - 3 + z**3 - 11*z - 7*z. Calculate x(-3).\n' | b'3\n' | b'Let x(z) = 3*z**2 + 16*z - 3 + z**3 - 11*z - 7*z. Calculate x(-3).\n' | b'3\n' | deepmind/math_dataset |
b'Let t(m) be the third derivative of -m**6/180 + m**4/12 + m**3/3 - m**2. Let s(r) be the first derivative of t(r). Find the first derivative of s(q) wrt q.\n' | b'-4*q\n' | b'Let t(m) be the third derivative of -m**6/180 + m**4/12 + m**3/3 - m**2. Let s(r) be the first derivative of t(r). Find the first derivative of s(q) wrt q.\n' | b'-4*q\n' | deepmind/math_dataset |
b'What is prob of picking 1 n, 2 l, and 1 q when four letters picked without replacement from noqyl?\n' | b'0\n' | b'What is prob of picking 1 n, 2 l, and 1 q when four letters picked without replacement from noqyl?\n' | b'0\n' | deepmind/math_dataset |
b'Suppose -13*p = 4*s - 18*p - 73, 3*s + 3*p = 48. Solve 3*z - 8 = 2*q - s, -2*z + 4 = 2*q for q.\n' | b'3\n' | b'Suppose -13*p = 4*s - 18*p - 73, 3*s + 3*p = 48. Solve 3*z - 8 = 2*q - s, -2*z + 4 = 2*q for q.\n' | b'3\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 o and 2 q when four letters picked without replacement from {o: 7, q: 4, w: 1, e: 2, y: 2}.\n' | b'9/130\n' | b'Calculate prob of picking 2 o and 2 q when four letters picked without replacement from {o: 7, q: 4, w: 1, e: 2, y: 2}.\n' | b'9/130\n' | deepmind/math_dataset |
b'Simplify ((n**2/n*n)**(-11)*n**(-5/2)*n*n**2*n)/((n*n/n**0)**(1/10))**48 assuming n is positive.\n' | b'n**(-301/10)\n' | b'Simplify ((n**2/n*n)**(-11)*n**(-5/2)*n*n**2*n)/((n*n/n**0)**(1/10))**48 assuming n is positive.\n' | b'n**(-301/10)\n' | deepmind/math_dataset |
b'Suppose -3*n = -9 - 3. Suppose 5 = r, n*g - 17 = r - 2*r. What is the third derivative of 122*o**g - 48*o**3 - 50*o**3 + 13*o**2 - 43*o**3 wrt o?\n' | b'-114\n' | b'Suppose -3*n = -9 - 3. Suppose 5 = r, n*g - 17 = r - 2*r. What is the third derivative of 122*o**g - 48*o**3 - 50*o**3 + 13*o**2 - 43*o**3 wrt o?\n' | b'-114\n' | deepmind/math_dataset |
b'Three letters picked without replacement from unnfufnnfn. What is prob of sequence fun?\n' | b'1/24\n' | b'Three letters picked without replacement from unnfufnnfn. What is prob of sequence fun?\n' | b'1/24\n' | deepmind/math_dataset |
b'Simplify v*v**(8/7)*v**13*v**(-6)*v/v**9 assuming v is positive.\n' | b'v**(8/7)\n' | b'Simplify v*v**(8/7)*v**13*v**(-6)*v/v**9 assuming v is positive.\n' | b'v**(8/7)\n' | deepmind/math_dataset |
b'What is prob of picking 3 m and 1 p when four letters picked without replacement from {m: 4, e: 2, p: 1, z: 3}?\n' | b'2/105\n' | b'What is prob of picking 3 m and 1 p when four letters picked without replacement from {m: 4, e: 2, p: 1, z: 3}?\n' | b'2/105\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {y: 6, a: 4, z: 4}. Give prob of picking 3 z.\n' | b'1/91\n' | b'Three letters picked without replacement from {y: 6, a: 4, z: 4}. Give prob of picking 3 z.\n' | b'1/91\n' | deepmind/math_dataset |
b'Let q(k) = 8*k**3 - 2*k**2 + 1. Let o be (-1 - (-2 + -3)) + -8 + 5. Give q(o).\n' | b'7\n' | b'Let q(k) = 8*k**3 - 2*k**2 + 1. Let o be (-1 - (-2 + -3)) + -8 + 5. Give q(o).\n' | b'7\n' | deepmind/math_dataset |
b'Simplify (o*o**(-6/19))/((o/((o/o**7)/o))/o)*(o/(o/(o/o**(-15))))**(-21) assuming o is positive.\n' | b'o**(-6504/19)\n' | b'Simplify (o*o**(-6/19))/((o/((o/o**7)/o))/o)*(o/(o/(o/o**(-15))))**(-21) assuming o is positive.\n' | b'o**(-6504/19)\n' | deepmind/math_dataset |
b'Let z(w) be the first derivative of -1/3*w**3 + 2*w**2 - 3 + w. Let f = 58 + -54. What is z(f)?\n' | b'1\n' | b'Let z(w) be the first derivative of -1/3*w**3 + 2*w**2 - 3 + w. Let f = 58 + -54. What is z(f)?\n' | b'1\n' | deepmind/math_dataset |
b'Suppose 12 = 4*d - 0*d. Let y(i) = 9*i**2 - 5*i + 11*i**3 - 4*i + 16*i**3 - 28*i**d + 4. Suppose -5 - 3 = -o. What is y(o)?\n' | b'-4\n' | b'Suppose 12 = 4*d - 0*d. Let y(i) = 9*i**2 - 5*i + 11*i**3 - 4*i + 16*i**3 - 28*i**d + 4. Suppose -5 - 3 = -o. What is y(o)?\n' | b'-4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from hhjajljjjnjnkaajljja. What is prob of sequence kn?\n' | b'1/190\n' | b'Two letters picked without replacement from hhjajljjjnjnkaajljja. What is prob of sequence kn?\n' | b'1/190\n' | deepmind/math_dataset |
b'Simplify ((x/(x*x**(1/13)))/x**8)/(((x*((x**(-9)*x*x)/x)/x)/x)/x*(x/(x*x*x**(-10)))/x) assuming x is positive.\n' | b'x**(-79/13)\n' | b'Simplify ((x/(x*x**(1/13)))/x**8)/(((x*((x**(-9)*x*x)/x)/x)/x)/x*(x/(x*x*x**(-10)))/x) assuming x is positive.\n' | b'x**(-79/13)\n' | deepmind/math_dataset |
b'Simplify (((s/(s*s**(-2)))/s)/s)**(-1/44)/(s*s*(s**(-1/4)*s)/s)**(-50)*((s/s**2)**(-19/4))**(-3/34) assuming s is positive.\n' | b's**(11843/136)\n' | b'Simplify (((s/(s*s**(-2)))/s)/s)**(-1/44)/(s*s*(s**(-1/4)*s)/s)**(-50)*((s/s**2)**(-19/4))**(-3/34) assuming s is positive.\n' | b's**(11843/136)\n' | deepmind/math_dataset |
b'Calculate prob of sequence igg when three letters picked without replacement from {g: 4, i: 2}.\n' | b'1/5\n' | b'Calculate prob of sequence igg when three letters picked without replacement from {g: 4, i: 2}.\n' | b'1/5\n' | deepmind/math_dataset |
b'Let l(m) be the second derivative of m**4/12 + 3*m**3/2 - m**2/2 - 2*m. Suppose -392*h - 768 = -296*h. Calculate l(h).\n' | b'-9\n' | b'Let l(m) be the second derivative of m**4/12 + 3*m**3/2 - m**2/2 - 2*m. Suppose -392*h - 768 = -296*h. Calculate l(h).\n' | b'-9\n' | deepmind/math_dataset |
b'Calculate prob of sequence eq when two letters picked without replacement from vqmxavemxvvvq.\n' | b'1/78\n' | b'Calculate prob of sequence eq when two letters picked without replacement from vqmxavemxvvvq.\n' | b'1/78\n' | deepmind/math_dataset |
b'Simplify (w**(-4/9)/w*w**5/w*(w*(w/(w*w**5*w)*w)/w)/(w*w**(-7)))**(-3/8) assuming w is positive.\n' | b'w**(-4/3)\n' | b'Simplify (w**(-4/9)/w*w**5/w*(w*(w/(w*w**5*w)*w)/w)/(w*w**(-7)))**(-3/8) assuming w is positive.\n' | b'w**(-4/3)\n' | deepmind/math_dataset |
b'Let u(h) = h**3 + 4*h - 6. Let q be (-10)/(-3) - 14/42. Let a(x) = x**3 + x**2 + 3*x - 5. Let f(t) = q*u(t) - 4*a(t). Give f(-4).\n' | b'2\n' | b'Let u(h) = h**3 + 4*h - 6. Let q be (-10)/(-3) - 14/42. Let a(x) = x**3 + x**2 + 3*x - 5. Let f(t) = q*u(t) - 4*a(t). Give f(-4).\n' | b'2\n' | deepmind/math_dataset |
b'Simplify n**(-2/3)*n**10*n assuming n is positive.\n' | b'n**(31/3)\n' | b'Simplify n**(-2/3)*n**10*n assuming n is positive.\n' | b'n**(31/3)\n' | deepmind/math_dataset |
b'Let x(b) = 4*b + 2. Let s be x(0). Let p be (-8)/16 + 9/s + -2. Let o(d) = d**3 + 1 + d - 911*d**2 + 911*d**p. Give o(0).\n' | b'1\n' | b'Let x(b) = 4*b + 2. Let s be x(0). Let p be (-8)/16 + 9/s + -2. Let o(d) = d**3 + 1 + d - 911*d**2 + 911*d**p. Give o(0).\n' | b'1\n' | deepmind/math_dataset |
b'Suppose 0*f - 8 = -2*f. Let p(a) = a**2 - 4*a - 3. Let d be p(f). Let w be d - ((-2)/1 + -1). Solve 4*l + 5*u + 11 = w, u + 3 = -0 for l.\n' | b'1\n' | b'Suppose 0*f - 8 = -2*f. Let p(a) = a**2 - 4*a - 3. Let d be p(f). Let w be d - ((-2)/1 + -1). Solve 4*l + 5*u + 11 = w, u + 3 = -0 for l.\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of picking 2 l when two letters picked without replacement from zypyyallllaplzlzyl?\n' | b'7/51\n' | b'What is prob of picking 2 l when two letters picked without replacement from zypyyallllaplzlzyl?\n' | b'7/51\n' | deepmind/math_dataset |
b'Let o(d) = d**2 + d - 1. Let c(q) = -2*q**2 - 3*q + 3. Let u(s) = -4*c(s) - 7*o(s). Give u(-5).\n' | b'-5\n' | b'Let o(d) = d**2 + d - 1. Let c(q) = -2*q**2 - 3*q + 3. Let u(s) = -4*c(s) - 7*o(s). Give u(-5).\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify (a**(-4)/(a*a**2/a))/(a/(a*a*a**(-2/9)*a*a)*a*a/((a**(-10)*a)/a)) assuming a is positive.\n' | b'a**(-137/9)\n' | b'Simplify (a**(-4)/(a*a**2/a))/(a/(a*a*a**(-2/9)*a*a)*a*a/((a**(-10)*a)/a)) assuming a is positive.\n' | b'a**(-137/9)\n' | deepmind/math_dataset |
b'Let k(v) = v + 2. Let l be k(0). Find the third derivative of -34*j**5 + 18*j**l + 5*j**2 + 5*j**5 wrt j.\n' | b'-1740*j**2\n' | b'Let k(v) = v + 2. Let l be k(0). Find the third derivative of -34*j**5 + 18*j**l + 5*j**2 + 5*j**5 wrt j.\n' | b'-1740*j**2\n' | deepmind/math_dataset |
b'Suppose 14 = -5*b + 4. Let o be 1/b + 143/22. Let h be 1 + 10/o + 4/(-6). Solve -2*f = p, h*f = 4*p - 2*p - 12 for f.\n' | b'-2\n' | b'Suppose 14 = -5*b + 4. Let o be 1/b + 143/22. Let h be 1 + 10/o + 4/(-6). Solve -2*f = p, h*f = 4*p - 2*p - 12 for f.\n' | b'-2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from gsgmmgggf. What is prob of picking 2 g and 1 m?\n' | b'5/21\n' | b'Three letters picked without replacement from gsgmmgggf. What is prob of picking 2 g and 1 m?\n' | b'5/21\n' | deepmind/math_dataset |
b'Let r(s) be the third derivative of -4*s**6/3 + 1343*s**5/60 + 5*s**2 + 165*s. Find the third derivative of r(y) wrt y.\n' | b'-960\n' | b'Let r(s) be the third derivative of -4*s**6/3 + 1343*s**5/60 + 5*s**2 + 165*s. Find the third derivative of r(y) wrt y.\n' | b'-960\n' | deepmind/math_dataset |
b'Suppose 3*w + 0*w = -243. Let m be (-180)/w + (-4)/18. Solve -m*t = 3*t - 4*k - 10, 15 = -3*k for t.\n' | b'-2\n' | b'Suppose 3*w + 0*w = -243. Let m be (-180)/w + (-4)/18. Solve -m*t = 3*t - 4*k - 10, 15 = -3*k for t.\n' | b'-2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {c: 1, b: 6, i: 1, n: 1, a: 1, v: 1}. Give prob of sequence vn.\n' | b'1/110\n' | b'Two letters picked without replacement from {c: 1, b: 6, i: 1, n: 1, a: 1, v: 1}. Give prob of sequence vn.\n' | b'1/110\n' | deepmind/math_dataset |
b'Let t(k) be the second derivative of -8*k + 1/2*k**3 + 5/2*k**2 + 0. Calculate t(-4).\n' | b'-7\n' | b'Let t(k) be the second derivative of -8*k + 1/2*k**3 + 5/2*k**2 + 0. Calculate t(-4).\n' | b'-7\n' | deepmind/math_dataset |
b'Find the second derivative of -128*h**2 + 94*h**2 + 214*h**2 - 92*h + 92*h**2 wrt h.\n' | b'544\n' | b'Find the second derivative of -128*h**2 + 94*h**2 + 214*h**2 - 92*h + 92*h**2 wrt h.\n' | b'544\n' | deepmind/math_dataset |
b'Let r(t) be the third derivative of -t**6/360 + t**5/40 - t**4/24 + 2*t**2. Let a(g) be the second derivative of r(g). Differentiate a(u) with respect to u.\n' | b'-2\n' | b'Let r(t) be the third derivative of -t**6/360 + t**5/40 - t**4/24 + 2*t**2. Let a(g) be the second derivative of r(g). Differentiate a(u) with respect to u.\n' | b'-2\n' | deepmind/math_dataset |
b'What is the second derivative of 8*a + 2*a - 4*a**3 - 17*a wrt a?\n' | b'-24*a\n' | b'What is the second derivative of 8*a + 2*a - 4*a**3 - 17*a wrt a?\n' | b'-24*a\n' | deepmind/math_dataset |
b'Calculate prob of sequence jlt when three letters picked without replacement from tltjtlt.\n' | b'4/105\n' | b'Calculate prob of sequence jlt when three letters picked without replacement from tltjtlt.\n' | b'4/105\n' | deepmind/math_dataset |
b'Let z be -12*(-1)/2*2 + -3. Let o be 16/(-6)*z/(-6)*3. Solve 2*y - y - 3*i - 12 = 0, 4*y + 3*i + o = 0 for y.\n' | b'0\n' | b'Let z be -12*(-1)/2*2 + -3. Let o be 16/(-6)*z/(-6)*3. Solve 2*y - y - 3*i - 12 = 0, 4*y + 3*i + o = 0 for y.\n' | b'0\n' | deepmind/math_dataset |
b'Suppose 0*u + 4*u = 0. Let w be ((-3)/(-6) - u)*6. Suppose 2*d + p = 4 + 3, p = -w*d + 10. Solve j - 7 = 3*r + 13, 5*j - d*r = 40 for j.\n' | b'5\n' | b'Suppose 0*u + 4*u = 0. Let w be ((-3)/(-6) - u)*6. Suppose 2*d + p = 4 + 3, p = -w*d + 10. Solve j - 7 = 3*r + 13, 5*j - d*r = 40 for j.\n' | b'5\n' | deepmind/math_dataset |
b'Let t = -62 + 64. Find the second derivative of -594*c**2 - 22*c - 6*c + 666*c**t - 62*c wrt c.\n' | b'144\n' | b'Let t = -62 + 64. Find the second derivative of -594*c**2 - 22*c - 6*c + 666*c**t - 62*c wrt c.\n' | b'144\n' | deepmind/math_dataset |
b'Calculate prob of picking 4 b when four letters picked without replacement from {b: 6}.\n' | b'1\n' | b'Calculate prob of picking 4 b when four letters picked without replacement from {b: 6}.\n' | b'1\n' | deepmind/math_dataset |
b'Let d(x) = 7*x**3 - x**2 + 10. Let f(a) = 19*a**3 - 2*a**2 - a + 28. Let p(r) = 11*d(r) - 4*f(r). What is p(3)?\n' | b'10\n' | b'Let d(x) = 7*x**3 - x**2 + 10. Let f(a) = 19*a**3 - 2*a**2 - a + 28. Let p(r) = 11*d(r) - 4*f(r). What is p(3)?\n' | b'10\n' | deepmind/math_dataset |
b'Simplify ((b/b**21)/b**(-24))**(23/4) assuming b is positive.\n' | b'b**23\n' | b'Simplify ((b/b**21)/b**(-24))**(23/4) assuming b is positive.\n' | b'b**23\n' | deepmind/math_dataset |
b'Simplify ((d/(d/(d**(-19)*d*d*d)))**(-31)/(d*d**(-14))**(-15))**28 assuming d is positive.\n' | b'd**8428\n' | b'Simplify ((d/(d/(d**(-19)*d*d*d)))**(-31)/(d*d**(-14))**(-15))**28 assuming d is positive.\n' | b'd**8428\n' | deepmind/math_dataset |
b'Let j(t) = -5*t - 3. Let q(r) = -11*r - 7. Let m(h) = -5*j(h) + 2*q(h). Calculate m(-3).\n' | b'-8\n' | b'Let j(t) = -5*t - 3. Let q(r) = -11*r - 7. Let m(h) = -5*j(h) + 2*q(h). Calculate m(-3).\n' | b'-8\n' | deepmind/math_dataset |
b'Let z(a) be the second derivative of 7*a**4/12 - a**3/6 - 2*a - 3. Give z(-1).\n' | b'8\n' | b'Let z(a) be the second derivative of 7*a**4/12 - a**3/6 - 2*a - 3. Give z(-1).\n' | b'8\n' | deepmind/math_dataset |
b'Let m(h) = h + 5. Let c(d) = -d**3 + 5*d**2 + 6*d + 6. Let y be c(6). Suppose -3*l + y = -9. Give m(l).\n' | b'10\n' | b'Let m(h) = h + 5. Let c(d) = -d**3 + 5*d**2 + 6*d + 6. Let y be c(6). Suppose -3*l + y = -9. Give m(l).\n' | b'10\n' | deepmind/math_dataset |
b'Let w(f) = -f**3 - 4 + 3*f + 5*f + 5*f**2 - 8*f. What is w(5)?\n' | b'-4\n' | b'Let w(f) = -f**3 - 4 + 3*f + 5*f + 5*f**2 - 8*f. What is w(5)?\n' | b'-4\n' | deepmind/math_dataset |
b'What is prob of sequence dbt when three letters picked without replacement from {d: 2, w: 1, t: 3, m: 1, c: 1, b: 8}?\n' | b'1/70\n' | b'What is prob of sequence dbt when three letters picked without replacement from {d: 2, w: 1, t: 3, m: 1, c: 1, b: 8}?\n' | b'1/70\n' | deepmind/math_dataset |
b'Let i(y) = -y + 2. Let o be i(2). Let b(s) = 5*s**2 - 3*s - 1. Let w be b(-2). Solve -4*a + 5*x = w, o = 5*a - 2*x + 11 + 16 for a.\n' | b'-5\n' | b'Let i(y) = -y + 2. Let o be i(2). Let b(s) = 5*s**2 - 3*s - 1. Let w be b(-2). Solve -4*a + 5*x = w, o = 5*a - 2*x + 11 + 16 for a.\n' | b'-5\n' | deepmind/math_dataset |
b'Three letters picked without replacement from cazaacfafaafaazfaazz. Give prob of sequence acf.\n' | b'2/171\n' | b'Three letters picked without replacement from cazaacfafaafaazfaazz. Give prob of sequence acf.\n' | b'2/171\n' | deepmind/math_dataset |
b'Let t = -257 + 268. Suppose -7 = 2*q - t. Let z be 4 - (-2)/(-4)*0. Solve -q*l = z*r - 14, r + 2*r = -l + 9 for l.\n' | b'3\n' | b'Let t = -257 + 268. Suppose -7 = 2*q - t. Let z be 4 - (-2)/(-4)*0. Solve -q*l = z*r - 14, r + 2*r = -l + 9 for l.\n' | b'3\n' | deepmind/math_dataset |
b'Let a(t) = -69*t**2 + 29*t + 148. Let k(m) = -55*m**2 + 32*m + 149. Let q(n) = 4*a(n) - 5*k(n). What is q(-4)?\n' | b'7\n' | b'Let a(t) = -69*t**2 + 29*t + 148. Let k(m) = -55*m**2 + 32*m + 149. Let q(n) = 4*a(n) - 5*k(n). What is q(-4)?\n' | b'7\n' | deepmind/math_dataset |
b'Let i(f) be the first derivative of -398*f - f**2 - 389*f + 66 + 784*f. Give i(-3).\n' | b'3\n' | b'Let i(f) be the first derivative of -398*f - f**2 - 389*f + 66 + 784*f. Give i(-3).\n' | b'3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {i: 1, z: 2, t: 2, k: 1, q: 1, p: 1}. What is prob of picking 1 t and 1 k?\n' | b'1/14\n' | b'Two letters picked without replacement from {i: 1, z: 2, t: 2, k: 1, q: 1, p: 1}. What is prob of picking 1 t and 1 k?\n' | b'1/14\n' | deepmind/math_dataset |
b'Suppose 0 = 3*f + 2*p - 12, -p = 5*f - 13. Suppose -5*u = -o - 16, -2*u + f*o = u - 4. Find the second derivative of -7*d**3 + 2*d + 7*d**3 + 2*d**u wrt d.\n' | b'24*d**2\n' | b'Suppose 0 = 3*f + 2*p - 12, -p = 5*f - 13. Suppose -5*u = -o - 16, -2*u + f*o = u - 4. Find the second derivative of -7*d**3 + 2*d + 7*d**3 + 2*d**u wrt d.\n' | b'24*d**2\n' | deepmind/math_dataset |
b'What is the third derivative of 2094*a**2 - 2059*a**2 + 1 + 54*a**3 + 1 wrt a?\n' | b'324\n' | b'What is the third derivative of 2094*a**2 - 2059*a**2 + 1 + 54*a**3 + 1 wrt a?\n' | b'324\n' | deepmind/math_dataset |
b'Three letters picked without replacement from jxppjjdxyypt. Give prob of picking 2 y and 1 t.\n' | b'1/220\n' | b'Three letters picked without replacement from jxppjjdxyypt. Give prob of picking 2 y and 1 t.\n' | b'1/220\n' | deepmind/math_dataset |
b'Simplify (((y*y/y**(-7/4)*y)/y)**(-37)/(y**(3/22)/(y/(y*((y/(y/(y**(1/31)/y*y)))/y)/y*y)*y)))**(-2/9) assuming y is positive.\n' | b'y**(186757/6138)\n' | b'Simplify (((y*y/y**(-7/4)*y)/y)**(-37)/(y**(3/22)/(y/(y*((y/(y/(y**(1/31)/y*y)))/y)/y*y)*y)))**(-2/9) assuming y is positive.\n' | b'y**(186757/6138)\n' | deepmind/math_dataset |
b'What is prob of picking 1 y and 1 i when two letters picked without replacement from yyiyyyyy?\n' | b'1/4\n' | b'What is prob of picking 1 y and 1 i when two letters picked without replacement from yyiyyyyy?\n' | b'1/4\n' | deepmind/math_dataset |
b'Simplify a**(-1/15)*a**(-25) assuming a is positive.\n' | b'a**(-376/15)\n' | b'Simplify a**(-1/15)*a**(-25) assuming a is positive.\n' | b'a**(-376/15)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from udoduuwduhcohc. Give prob of picking 2 c.\n' | b'1/91\n' | b'Two letters picked without replacement from udoduuwduhcohc. Give prob of picking 2 c.\n' | b'1/91\n' | deepmind/math_dataset |
b'Let j(h) = h**3 - 6*h**2 + 7*h - 7. Let r be j(5). Suppose m = -r*m. Suppose m*p = -p + 2. Solve 2*z = -3*g - p*z + 4, 4*z - 4 = -g for g.\n' | b'0\n' | b'Let j(h) = h**3 - 6*h**2 + 7*h - 7. Let r be j(5). Suppose m = -r*m. Suppose m*p = -p + 2. Solve 2*z = -3*g - p*z + 4, 4*z - 4 = -g for g.\n' | b'0\n' | deepmind/math_dataset |
b'Find the first derivative of -2*k + 6*k**2 - k - 17788 + 17742 wrt k.\n' | b'12*k - 3\n' | b'Find the first derivative of -2*k + 6*k**2 - k - 17788 + 17742 wrt k.\n' | b'12*k - 3\n' | deepmind/math_dataset |
b'Let n(r) = 60*r + 1. Let o(q) = 163 - 163 + 30*q. Let s(h) = 3*n(h) - 7*o(h). What is the derivative of s(z) wrt z?\n' | b'-30\n' | b'Let n(r) = 60*r + 1. Let o(q) = 163 - 163 + 30*q. Let s(h) = 3*n(h) - 7*o(h). What is the derivative of s(z) wrt z?\n' | b'-30\n' | deepmind/math_dataset |
b'Two letters picked without replacement from huhuuuuuuu. What is prob of picking 2 u?\n' | b'28/45\n' | b'Two letters picked without replacement from huhuuuuuuu. What is prob of picking 2 u?\n' | b'28/45\n' | deepmind/math_dataset |
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