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'Two letters picked without replacement from haakaaafa. Give prob of picking 2 a.\n' | b'5/12\n' | b'Two letters picked without replacement from haakaaafa. Give prob of picking 2 a.\n' | b'5/12\n' | deepmind/math_dataset |
b'Suppose -2*g + u + 0*u + 6 = 0, g + u = 3. What is the first derivative of 13*l**3 - 50*l**3 + 7*l**3 - 9*l**3 - g wrt l?\n' | b'-117*l**2\n' | b'Suppose -2*g + u + 0*u + 6 = 0, g + u = 3. What is the first derivative of 13*l**3 - 50*l**3 + 7*l**3 - 9*l**3 - g wrt l?\n' | b'-117*l**2\n' | deepmind/math_dataset |
b'Let h be 4/(-8) - (-9)/2. Suppose -5*d = 10, 7*d - 5*d + 39 = 5*m. Let z be h/14 + 26/m. Solve -27 - z = -3*y + 4*u, 0 = u + 4 for y.\n' | b'5\n' | b'Let h be 4/(-8) - (-9)/2. Suppose -5*d = 10, 7*d - 5*d + 39 = 5*m. Let z be h/14 + 26/m. Solve -27 - z = -3*y + 4*u, 0 = u + 4 for y.\n' | b'5\n' | deepmind/math_dataset |
b'Simplify (n**(-2)*n/(n**(2/3)/n))/(n**21/(n/(n/(n*n/(n**(-2/7)/n))*n))) assuming n is positive.\n' | b'n**(-407/21)\n' | b'Simplify (n**(-2)*n/(n**(2/3)/n))/(n**21/(n/(n/(n*n/(n**(-2/7)/n))*n))) assuming n is positive.\n' | b'n**(-407/21)\n' | deepmind/math_dataset |
b'What is prob of picking 1 h, 1 w, and 1 a when three letters picked without replacement from {d: 1, w: 1, y: 1, a: 1, h: 1}?\n' | b'1/10\n' | b'What is prob of picking 1 h, 1 w, and 1 a when three letters picked without replacement from {d: 1, w: 1, y: 1, a: 1, h: 1}?\n' | b'1/10\n' | deepmind/math_dataset |
b'Simplify (r**(-1/11)/(r*r**3)*r**(-1)*r**(-1/6))**(-2/7) assuming r is positive.\n' | b'r**(347/231)\n' | b'Simplify (r**(-1/11)/(r*r**3)*r**(-1)*r**(-1/6))**(-2/7) assuming r is positive.\n' | b'r**(347/231)\n' | deepmind/math_dataset |
b'Simplify ((a**(1/43))**(3/29)*a**(5/6)*a*a**(-7)/a)**(-31) assuming a is positive.\n' | b'a**(1429751/7482)\n' | b'Simplify ((a**(1/43))**(3/29)*a**(5/6)*a*a**(-7)/a)**(-31) assuming a is positive.\n' | b'a**(1429751/7482)\n' | deepmind/math_dataset |
b'Simplify ((z/z**(-2/45))**(2/13))**(-12) assuming z is positive.\n' | b'z**(-376/195)\n' | b'Simplify ((z/z**(-2/45))**(2/13))**(-12) assuming z is positive.\n' | b'z**(-376/195)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {s: 1, o: 2, n: 2}. What is prob of picking 1 o and 1 s?\n' | b'1/5\n' | b'Two letters picked without replacement from {s: 1, o: 2, n: 2}. What is prob of picking 1 o and 1 s?\n' | b'1/5\n' | deepmind/math_dataset |
b'Let b(x) = -x**5 + x**3 - x - 1. Let h(t) = 12*t**5 + 2*t**3 + 16*t**2 - 2*t - 2. Let w(i) = 2*b(i) - h(i). Find the third derivative of w(m) wrt m.\n' | b'-840*m**2\n' | b'Let b(x) = -x**5 + x**3 - x - 1. Let h(t) = 12*t**5 + 2*t**3 + 16*t**2 - 2*t - 2. Let w(i) = 2*b(i) - h(i). Find the third derivative of w(m) wrt m.\n' | b'-840*m**2\n' | deepmind/math_dataset |
b'Simplify x*x**(-1/2)*x*x/(x**(-1/4)/x*x*x)*((x/(x/(x**(-2/11)/x*x)*x)*x*x*x)/x)/(x/x**(5/4))*x**8*x**(6/5)/x*(x**(2/3)/x)**(1/67) assuming x is positive.\n' | b'x**(121751/11055)\n' | b'Simplify x*x**(-1/2)*x*x/(x**(-1/4)/x*x*x)*((x/(x/(x**(-2/11)/x*x)*x)*x*x*x)/x)/(x/x**(5/4))*x**8*x**(6/5)/x*(x**(2/3)/x)**(1/67) assuming x is positive.\n' | b'x**(121751/11055)\n' | deepmind/math_dataset |
b'Let i be ((-51)/(-9) - 0) + (-16)/24. Suppose 12*c + 1020 = -i*c. Let n = c + 64. Solve -n*k - 2*h = 4, h - 3*h - 8 = 0 for k.\n' | b'1\n' | b'Let i be ((-51)/(-9) - 0) + (-16)/24. Suppose 12*c + 1020 = -i*c. Let n = c + 64. Solve -n*k - 2*h = 4, h - 3*h - 8 = 0 for k.\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 f when two letters picked without replacement from lflfllfl.\n' | b'3/28\n' | b'Calculate prob of picking 2 f when two letters picked without replacement from lflfllfl.\n' | b'3/28\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 a and 1 k when two letters picked without replacement from {t: 1, p: 1, k: 1, w: 1, a: 1}.\n' | b'1/10\n' | b'Calculate prob of picking 1 a and 1 k when two letters picked without replacement from {t: 1, p: 1, k: 1, w: 1, a: 1}.\n' | b'1/10\n' | deepmind/math_dataset |
b'What is prob of sequence xb when two letters picked without replacement from bbxb?\n' | b'1/4\n' | b'What is prob of sequence xb when two letters picked without replacement from bbxb?\n' | b'1/4\n' | deepmind/math_dataset |
b'Let n = 662 - 658. Let r = -5 + 8. Differentiate r + 7 + 19*u - n wrt u.\n' | b'19\n' | b'Let n = 662 - 658. Let r = -5 + 8. Differentiate r + 7 + 19*u - n wrt u.\n' | b'19\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 m, 1 y, and 1 l when three letters picked without replacement from {u: 2, y: 1, l: 1, d: 1, g: 1, m: 1}.\n' | b'1/35\n' | b'Calculate prob of picking 1 m, 1 y, and 1 l when three letters picked without replacement from {u: 2, y: 1, l: 1, d: 1, g: 1, m: 1}.\n' | b'1/35\n' | deepmind/math_dataset |
b'Suppose 4*r - 4 = -4*o, 2*r + 6 = 2*o - 0*r. Let j(v) = -v - 4. Let t be j(-7). Find the second derivative of o*g**3 + t - 3 + 2*g wrt g.\n' | b'12*g\n' | b'Suppose 4*r - 4 = -4*o, 2*r + 6 = 2*o - 0*r. Let j(v) = -v - 4. Let t be j(-7). Find the second derivative of o*g**3 + t - 3 + 2*g wrt g.\n' | b'12*g\n' | deepmind/math_dataset |
b'Two letters picked without replacement from muuamvmvamv. Give prob of picking 1 v and 1 a.\n' | b'6/55\n' | b'Two letters picked without replacement from muuamvmvamv. Give prob of picking 1 v and 1 a.\n' | b'6/55\n' | deepmind/math_dataset |
b'Suppose -5*q + 2*w = -68, -w = -3*q - 4*w + 24. Solve -4*v + z - q = -3*z, -4*z - 15 = 5*v for v.\n' | b'-3\n' | b'Suppose -5*q + 2*w = -68, -w = -3*q - 4*w + 24. Solve -4*v + z - q = -3*z, -4*z - 15 = 5*v for v.\n' | b'-3\n' | deepmind/math_dataset |
b'Let x be (4/(-6))/(14/(-420)). What is the third derivative of 5*h**3 + h**2 + x*h**2 - 10*h**2 wrt h?\n' | b'30\n' | b'Let x be (4/(-6))/(14/(-420)). What is the third derivative of 5*h**3 + h**2 + x*h**2 - 10*h**2 wrt h?\n' | b'30\n' | deepmind/math_dataset |
b'Let m(h) be the first derivative of h**2/2 + 6*h - 3. Let n be 5/15 - (-2)/(-6). Determine m(n).\n' | b'6\n' | b'Let m(h) be the first derivative of h**2/2 + 6*h - 3. Let n be 5/15 - (-2)/(-6). Determine m(n).\n' | b'6\n' | deepmind/math_dataset |
b'What is the second derivative of -r - 312 + 9836*r**2 + 0*r - 10410*r**2 wrt r?\n' | b'-1148\n' | b'What is the second derivative of -r - 312 + 9836*r**2 + 0*r - 10410*r**2 wrt r?\n' | b'-1148\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {q: 9, y: 3}. What is prob of picking 4 y?\n' | b'0\n' | b'Four letters picked without replacement from {q: 9, y: 3}. What is prob of picking 4 y?\n' | b'0\n' | deepmind/math_dataset |
b'What is prob of picking 2 w and 2 q when four letters picked without replacement from qwygywqvyggg?\n' | b'1/495\n' | b'What is prob of picking 2 w and 2 q when four letters picked without replacement from qwygywqvyggg?\n' | b'1/495\n' | deepmind/math_dataset |
b'What is the first derivative of -2213 + 4*n + 106*n - 28*n + 29*n**2 + 33*n**2 - 52*n**2 wrt n?\n' | b'20*n + 82\n' | b'What is the first derivative of -2213 + 4*n + 106*n - 28*n + 29*n**2 + 33*n**2 - 52*n**2 wrt n?\n' | b'20*n + 82\n' | deepmind/math_dataset |
b'Let a be (-3)/2 + 4/(-8). Let s(q) = -q**2 + 3*q - 2. Let y be s(3). Let z be (a + (3 - 1))/y. Solve 3*k - 5*u + 12 = -z*u, 0 = -2*k + 4*u - 8 for k.\n' | b'-4\n' | b'Let a be (-3)/2 + 4/(-8). Let s(q) = -q**2 + 3*q - 2. Let y be s(3). Let z be (a + (3 - 1))/y. Solve 3*k - 5*u + 12 = -z*u, 0 = -2*k + 4*u - 8 for k.\n' | b'-4\n' | deepmind/math_dataset |
b'What is prob of sequence srs when three letters picked without replacement from {r: 11, s: 5, y: 1, j: 2}?\n' | b'110/2907\n' | b'What is prob of sequence srs when three letters picked without replacement from {r: 11, s: 5, y: 1, j: 2}?\n' | b'110/2907\n' | deepmind/math_dataset |
b'Suppose -6*n - 53 - 19 = 0. Let a(v) be the third derivative of v**6/120 + 11*v**5/60 - 11*v**4/24 + 7*v**3/3 - 2*v**2 + 3. Determine a(n).\n' | b'2\n' | b'Suppose -6*n - 53 - 19 = 0. Let a(v) be the third derivative of v**6/120 + 11*v**5/60 - 11*v**4/24 + 7*v**3/3 - 2*v**2 + 3. Determine a(n).\n' | b'2\n' | deepmind/math_dataset |
b'Suppose 3 = j - 4. Let f(c) = -4*c**3 - 15 + 9*c**2 + 6 + 3 + 10*c + 9. Let i(k) = 7*k**3 - 17*k**2 - 19*k - 7. Let h(r) = 5*f(r) + 3*i(r). What is h(j)?\n' | b'-6\n' | b'Suppose 3 = j - 4. Let f(c) = -4*c**3 - 15 + 9*c**2 + 6 + 3 + 10*c + 9. Let i(k) = 7*k**3 - 17*k**2 - 19*k - 7. Let h(r) = 5*f(r) + 3*i(r). What is h(j)?\n' | b'-6\n' | deepmind/math_dataset |
b'Find the second derivative of 1 - 3158*v**2 - 4464*v**2 + 2770*v**2 + 1522*v + 1045*v - 8716*v**2 wrt v.\n' | b'-27136\n' | b'Find the second derivative of 1 - 3158*v**2 - 4464*v**2 + 2770*v**2 + 1522*v + 1045*v - 8716*v**2 wrt v.\n' | b'-27136\n' | deepmind/math_dataset |
b'Let a = -30 + 35. What is the third derivative of -11*w**2 - 7*w**5 - 19*w**5 - 6*w**a - 15*w**2 wrt w?\n' | b'-1920*w**2\n' | b'Let a = -30 + 35. What is the third derivative of -11*w**2 - 7*w**5 - 19*w**5 - 6*w**a - 15*w**2 wrt w?\n' | b'-1920*w**2\n' | deepmind/math_dataset |
b'What is prob of picking 3 d and 1 m when four letters picked without replacement from {m: 1, d: 14, x: 2}?\n' | b'13/85\n' | b'What is prob of picking 3 d and 1 m when four letters picked without replacement from {m: 1, d: 14, x: 2}?\n' | b'13/85\n' | deepmind/math_dataset |
b'Let q(h) = -2*h**2 + 20*h - 38. Let v be q(3). Solve -5*w = -v*n - 7, -1 = -w + n + 1 for w.\n' | b'-1\n' | b'Let q(h) = -2*h**2 + 20*h - 38. Let v be q(3). Solve -5*w = -v*n - 7, -1 = -w + n + 1 for w.\n' | b'-1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from dbdddttx. What is prob of sequence ddb?\n' | b'1/28\n' | b'Three letters picked without replacement from dbdddttx. What is prob of sequence ddb?\n' | b'1/28\n' | deepmind/math_dataset |
b'Suppose -686 = 7*z - 0*z. Let l = z - -100. Solve 5 = -4*c + l*c - t, -4*c = -3*t - 15 for c.\n' | b'0\n' | b'Suppose -686 = 7*z - 0*z. Let l = z - -100. Solve 5 = -4*c + l*c - t, -4*c = -3*t - 15 for c.\n' | b'0\n' | deepmind/math_dataset |
b'Let r(x) be the first derivative of 27*x**7/7 + 92*x**3 - 261. Find the third derivative of r(f) wrt f.\n' | b'3240*f**3\n' | b'Let r(x) be the first derivative of 27*x**7/7 + 92*x**3 - 261. Find the third derivative of r(f) wrt f.\n' | b'3240*f**3\n' | deepmind/math_dataset |
b'What is prob of sequence eeee when four letters picked without replacement from eeeeeee?\n' | b'1\n' | b'What is prob of sequence eeee when four letters picked without replacement from eeeeeee?\n' | b'1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {y: 2, i: 1, f: 1}. What is prob of sequence yyfi?\n' | b'1/12\n' | b'Four letters picked without replacement from {y: 2, i: 1, f: 1}. What is prob of sequence yyfi?\n' | b'1/12\n' | deepmind/math_dataset |
b'Simplify (p**(-2/5))**31*p*p**(-1)*p**(5/3) assuming p is positive.\n' | b'p**(-161/15)\n' | b'Simplify (p**(-2/5))**31*p*p**(-1)*p**(5/3) assuming p is positive.\n' | b'p**(-161/15)\n' | deepmind/math_dataset |
b'Simplify g**5/g**(-3)*g**6/g**(-4)*(g**(-3)*g/g**(-2/5))/((g*g**(-2/15))/g**2) assuming g is positive.\n' | b'g**(263/15)\n' | b'Simplify g**5/g**(-3)*g**6/g**(-4)*(g**(-3)*g/g**(-2/5))/((g*g**(-2/15))/g**2) assuming g is positive.\n' | b'g**(263/15)\n' | deepmind/math_dataset |
b'Let q = -3 + 5. What is the third derivative of 0*h**3 - 4 + 3*h**3 - 2*h**q + 4 wrt h?\n' | b'18\n' | b'Let q = -3 + 5. What is the third derivative of 0*h**3 - 4 + 3*h**3 - 2*h**q + 4 wrt h?\n' | b'18\n' | deepmind/math_dataset |
b'Simplify ((m**(-2))**50)**(-3/14) assuming m is positive.\n' | b'm**(150/7)\n' | b'Simplify ((m**(-2))**50)**(-3/14) assuming m is positive.\n' | b'm**(150/7)\n' | deepmind/math_dataset |
b'Let g(y) = -y**3 - 4*y**2 + 2*y + 3. Let t be g(-4). Let p(k) be the third derivative of k**6/120 + k**5/15 - k**4/6 + 5*k**3/6 + 30*k**2 - 1. Give p(t).\n' | b'0\n' | b'Let g(y) = -y**3 - 4*y**2 + 2*y + 3. Let t be g(-4). Let p(k) be the third derivative of k**6/120 + k**5/15 - k**4/6 + 5*k**3/6 + 30*k**2 - 1. Give p(t).\n' | b'0\n' | deepmind/math_dataset |
b'Simplify (((m/(m*m/(m*m*m*m*m*m/(m/((m*m**(1/5))/m))*m)*m))/((m/(m**(2/13)/m)*m)/m))/((m/m**(1/3))/m*m*m/m**(-17)))**(3/17) assuming m is positive.\n' | b'm**(-3181/1105)\n' | b'Simplify (((m/(m*m/(m*m*m*m*m*m/(m/((m*m**(1/5))/m))*m)*m))/((m/(m**(2/13)/m)*m)/m))/((m/m**(1/3))/m*m*m/m**(-17)))**(3/17) assuming m is positive.\n' | b'm**(-3181/1105)\n' | deepmind/math_dataset |
b'What is prob of sequence fr when two letters picked without replacement from {f: 10, r: 3, e: 1, a: 1, b: 3, q: 1}?\n' | b'5/57\n' | b'What is prob of sequence fr when two letters picked without replacement from {f: 10, r: 3, e: 1, a: 1, b: 3, q: 1}?\n' | b'5/57\n' | deepmind/math_dataset |
b'Let j(q) be the third derivative of -11*q**8/2240 - 9*q**5/40 + 5*q**4/3 + 19*q**2. Let z(o) be the second derivative of j(o). Differentiate z(u) wrt u.\n' | b'-99*u**2\n' | b'Let j(q) be the third derivative of -11*q**8/2240 - 9*q**5/40 + 5*q**4/3 + 19*q**2. Let z(o) be the second derivative of j(o). Differentiate z(u) wrt u.\n' | b'-99*u**2\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 y, 1 i, and 1 e when four letters picked without replacement from {c: 2, p: 1, y: 3, r: 1, e: 6, i: 2}.\n' | b'12/455\n' | b'Calculate prob of picking 2 y, 1 i, and 1 e when four letters picked without replacement from {c: 2, p: 1, y: 3, r: 1, e: 6, i: 2}.\n' | b'12/455\n' | deepmind/math_dataset |
b'Suppose -m = 2 - 21. Differentiate 44 - 10*p**2 + 13*p**2 + 14*p**2 - m wrt p.\n' | b'34*p\n' | b'Suppose -m = 2 - 21. Differentiate 44 - 10*p**2 + 13*p**2 + 14*p**2 - m wrt p.\n' | b'34*p\n' | deepmind/math_dataset |
b'Suppose v - 4*v + 3*a = -126, -4*a + 8 = 0. Suppose -2*x - b + 35 = -0*b, 0 = -2*x - 4*b + v. Let h = x - 14. Let t(o) = -o + 4. What is t(h)?\n' | b'2\n' | b'Suppose v - 4*v + 3*a = -126, -4*a + 8 = 0. Suppose -2*x - b + 35 = -0*b, 0 = -2*x - 4*b + v. Let h = x - 14. Let t(o) = -o + 4. What is t(h)?\n' | b'2\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 x when two letters picked without replacement from {x: 2, k: 3, p: 1, c: 1, l: 4, b: 4}.\n' | b'1/105\n' | b'Calculate prob of picking 2 x when two letters picked without replacement from {x: 2, k: 3, p: 1, c: 1, l: 4, b: 4}.\n' | b'1/105\n' | deepmind/math_dataset |
b'What is prob of picking 1 j and 1 g when two letters picked without replacement from {j: 1, r: 8, g: 3, v: 1, w: 3, t: 2}?\n' | b'1/51\n' | b'What is prob of picking 1 j and 1 g when two letters picked without replacement from {j: 1, r: 8, g: 3, v: 1, w: 3, t: 2}?\n' | b'1/51\n' | deepmind/math_dataset |
b'Let r(v) = -4512*v**4 + 9*v**3 - 608*v**2 + 3*v - 12. Let a(s) = 3*s**3 + s**2 + s - 4. Let f(j) = -3*a(j) + r(j). Find the third derivative of f(h) wrt h.\n' | b'-108288*h\n' | b'Let r(v) = -4512*v**4 + 9*v**3 - 608*v**2 + 3*v - 12. Let a(s) = 3*s**3 + s**2 + s - 4. Let f(j) = -3*a(j) + r(j). Find the third derivative of f(h) wrt h.\n' | b'-108288*h\n' | deepmind/math_dataset |
b'Simplify ((k/k**(-2/7))/k*k*k)**5*k**(-12)/k**5 assuming k is positive.\n' | b'k**(-39/7)\n' | b'Simplify ((k/k**(-2/7))/k*k*k)**5*k**(-12)/k**5 assuming k is positive.\n' | b'k**(-39/7)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {v: 7, c: 3}. Give prob of picking 2 v and 2 c.\n' | b'3/10\n' | b'Four letters picked without replacement from {v: 7, c: 3}. Give prob of picking 2 v and 2 c.\n' | b'3/10\n' | deepmind/math_dataset |
b'Suppose -2*m - 4*f - 8 = 0, f = 2*f + 3. Suppose p - 3*p - h = -69, -4*p - 5*h = -153. Find the third derivative of 32 + 0*o**m + 8*o**2 + 2*o**3 - p wrt o.\n' | b'12\n' | b'Suppose -2*m - 4*f - 8 = 0, f = 2*f + 3. Suppose p - 3*p - h = -69, -4*p - 5*h = -153. Find the third derivative of 32 + 0*o**m + 8*o**2 + 2*o**3 - p wrt o.\n' | b'12\n' | deepmind/math_dataset |
b'Find the second derivative of -73*q**4 - 11*q**5 - 91*q**4 + 205*q**4 - 778*q - 75*q**4 wrt q.\n' | b'-220*q**3 - 408*q**2\n' | b'Find the second derivative of -73*q**4 - 11*q**5 - 91*q**4 + 205*q**4 - 778*q - 75*q**4 wrt q.\n' | b'-220*q**3 - 408*q**2\n' | deepmind/math_dataset |
b'What is prob of sequence nnz when three letters picked without replacement from zztznzzznzztzzzznz?\n' | b'13/816\n' | b'What is prob of sequence nnz when three letters picked without replacement from zztznzzznzztzzzznz?\n' | b'13/816\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 h and 3 c when four letters picked without replacement from cxxcmuhccccaca.\n' | b'5/143\n' | b'Calculate prob of picking 1 h and 3 c when four letters picked without replacement from cxxcmuhccccaca.\n' | b'5/143\n' | deepmind/math_dataset |
b'Two letters picked without replacement from apmmppapkkkavkapph. Give prob of sequence pa.\n' | b'4/51\n' | b'Two letters picked without replacement from apmmppapkkkavkapph. Give prob of sequence pa.\n' | b'4/51\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 k and 1 m when three letters picked without replacement from {c: 4, m: 3, k: 2}.\n' | b'1/28\n' | b'Calculate prob of picking 2 k and 1 m when three letters picked without replacement from {c: 4, m: 3, k: 2}.\n' | b'1/28\n' | deepmind/math_dataset |
b'Let y = -6053 - -6056. Solve -2*a + c - 16 = -7*a, -3 = -y*c for a.\n' | b'3\n' | b'Let y = -6053 - -6056. Solve -2*a + c - 16 = -7*a, -3 = -y*c for a.\n' | b'3\n' | deepmind/math_dataset |
b'Simplify m**(-1/3)/m**9*(m/m**(3/2))**(-3/4) assuming m is positive.\n' | b'm**(-215/24)\n' | b'Simplify m**(-1/3)/m**9*(m/m**(3/2))**(-3/4) assuming m is positive.\n' | b'm**(-215/24)\n' | deepmind/math_dataset |
b'Let p(o) = 134*o + 98. Let j be p(18). What is the third derivative of -46*s**6 - 26*s**6 - j*s**2 + 2553*s**2 wrt s?\n' | b'-8640*s**3\n' | b'Let p(o) = 134*o + 98. Let j be p(18). What is the third derivative of -46*s**6 - 26*s**6 - j*s**2 + 2553*s**2 wrt s?\n' | b'-8640*s**3\n' | deepmind/math_dataset |
b'Let d = -6 + 8. Let m(q) = 0*q + d*q - 31 + 29 + q. Give m(-3).\n' | b'-11\n' | b'Let d = -6 + 8. Let m(q) = 0*q + d*q - 31 + 29 + q. Give m(-3).\n' | b'-11\n' | deepmind/math_dataset |
b'What is prob of sequence ysny when four letters picked without replacement from yywhhnsshkhsws?\n' | b'1/3003\n' | b'What is prob of sequence ysny when four letters picked without replacement from yywhhnsshkhsws?\n' | b'1/3003\n' | deepmind/math_dataset |
b'Let p = 48 + -52. Let c(t) = -3*t - 23. Let n(a) = -a - 8. Let b(w) = 4*c(w) - 11*n(w). Calculate b(p).\n' | b'0\n' | b'Let p = 48 + -52. Let c(t) = -3*t - 23. Let n(a) = -a - 8. Let b(w) = 4*c(w) - 11*n(w). Calculate b(p).\n' | b'0\n' | deepmind/math_dataset |
b'Let a(l) = 4*l**2 + 19*l + 5. Let s be a(-6). What is the second derivative of 2 - 68*y - 2 - s*y**2 + y wrt y?\n' | b'-70\n' | b'Let a(l) = 4*l**2 + 19*l + 5. Let s be a(-6). What is the second derivative of 2 - 68*y - 2 - s*y**2 + y wrt y?\n' | b'-70\n' | deepmind/math_dataset |
b'Let d(y) be the second derivative of y**6/240 + y**5/120 + y**4/3 - 3*y. Let b(a) be the third derivative of d(a). Give b(1).\n' | b'4\n' | b'Let d(y) be the second derivative of y**6/240 + y**5/120 + y**4/3 - 3*y. Let b(a) be the third derivative of d(a). Give b(1).\n' | b'4\n' | deepmind/math_dataset |
b'Simplify (o**(2/23)/(o**(-4/5)*o*o))**(-45) assuming o is positive.\n' | b'o**(1152/23)\n' | b'Simplify (o**(2/23)/(o**(-4/5)*o*o))**(-45) assuming o is positive.\n' | b'o**(1152/23)\n' | deepmind/math_dataset |
b'Let u(o) = -o**3 - 32*o**2 - 2*o - 61. Let v be u(-32). Solve -5*p + v*p - 4 = -a, 0 = a - 5*p - 4 for a.\n' | b'4\n' | b'Let u(o) = -o**3 - 32*o**2 - 2*o - 61. Let v be u(-32). Solve -5*p + v*p - 4 = -a, 0 = a - 5*p - 4 for a.\n' | b'4\n' | deepmind/math_dataset |
b'Suppose -x - 11 = -4*f, -f + 10 = f + 4*x. Solve 2*w - 4 = -3*w + 4*z, f*w + 5*z = -5 for w.\n' | b'0\n' | b'Suppose -x - 11 = -4*f, -f + 10 = f + 4*x. Solve 2*w - 4 = -3*w + 4*z, f*w + 5*z = -5 for w.\n' | b'0\n' | deepmind/math_dataset |
b'Let a(c) be the first derivative of -c**4/4 - 2*c**3 + 13*c**2/2 + 12*c + 2. Let k be a(-8). Suppose 4*z = 28 + k. Solve 3*j = -2*g + 6 + 7, j - z = -3*g for g.\n' | b'5\n' | b'Let a(c) be the first derivative of -c**4/4 - 2*c**3 + 13*c**2/2 + 12*c + 2. Let k be a(-8). Suppose 4*z = 28 + k. Solve 3*j = -2*g + 6 + 7, j - z = -3*g for g.\n' | b'5\n' | deepmind/math_dataset |
b'Let p(q) be the third derivative of -q**7/70 + q**4/12 - 6*q**2. What is the second derivative of p(v) wrt v?\n' | b'-36*v**2\n' | b'Let p(q) be the third derivative of -q**7/70 + q**4/12 - 6*q**2. What is the second derivative of p(v) wrt v?\n' | b'-36*v**2\n' | deepmind/math_dataset |
b'Let y(a) be the third derivative of -5*a**6/24 + a**3/2 + 46*a**2. What is the derivative of y(s) wrt s?\n' | b'-75*s**2\n' | b'Let y(a) be the third derivative of -5*a**6/24 + a**3/2 + 46*a**2. What is the derivative of y(s) wrt s?\n' | b'-75*s**2\n' | deepmind/math_dataset |
b'Let x(r) be the first derivative of -6*r**5/5 - 8*r - 7. Differentiate x(i) with respect to i.\n' | b'-24*i**3\n' | b'Let x(r) be the first derivative of -6*r**5/5 - 8*r - 7. Differentiate x(i) with respect to i.\n' | b'-24*i**3\n' | deepmind/math_dataset |
b'Let y = 20 + -16. Let d(m) = 10*m**3 - m**2 - 2*m - 1. Let i be d(-1). Let k = i + 19. Solve b - y*r + 1 - k = 0, 2 = -2*r for b.\n' | b'4\n' | b'Let y = 20 + -16. Let d(m) = 10*m**3 - m**2 - 2*m - 1. Let i be d(-1). Let k = i + 19. Solve b - y*r + 1 - k = 0, 2 = -2*r for b.\n' | b'4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {v: 2, u: 11, c: 1}. What is prob of sequence uu?\n' | b'55/91\n' | b'Two letters picked without replacement from {v: 2, u: 11, c: 1}. What is prob of sequence uu?\n' | b'55/91\n' | deepmind/math_dataset |
b'Suppose 0 = 2*l + 5*s - 15, 0 = -3*l - 2*l - 4*s + 12. Suppose l = f + 2*h, -6*h = 4*f - 4*h. Solve f = -2*q + 3*c + 8, -q + 4*c + 6 = -3*q for q.\n' | b'1\n' | b'Suppose 0 = 2*l + 5*s - 15, 0 = -3*l - 2*l - 4*s + 12. Suppose l = f + 2*h, -6*h = 4*f - 4*h. Solve f = -2*q + 3*c + 8, -q + 4*c + 6 = -3*q for q.\n' | b'1\n' | deepmind/math_dataset |
b'Suppose 0 = 5*a + 4*y + 17 + 2, a + 17 = -3*y. Solve 5*s - 20*d + 24*d + 40 = 0, s - d = a for s.\n' | b'-4\n' | b'Suppose 0 = 5*a + 4*y + 17 + 2, a + 17 = -3*y. Solve 5*s - 20*d + 24*d + 40 = 0, s - d = a for s.\n' | b'-4\n' | deepmind/math_dataset |
b'Let s(b) = b**3 + 11*b**2 + 11*b + 5. Let r = -42 + -8. Let d be (-4)/20 + 5/(r/98). Let v be s(d). Let a(z) = z**2 + 2*z + 7. Calculate a(v).\n' | b'22\n' | b'Let s(b) = b**3 + 11*b**2 + 11*b + 5. Let r = -42 + -8. Let d be (-4)/20 + 5/(r/98). Let v be s(d). Let a(z) = z**2 + 2*z + 7. Calculate a(v).\n' | b'22\n' | deepmind/math_dataset |
b'Let o(f) = -3*f**2 - 8*f - 5. Let x(y) = 5*y**2 + 12*y + 8. Let w(m) = 8*o(m) + 5*x(m). Let v be (2 + -3)*-1 + -3. Let p be (v/2)/((-1)/3). Determine w(p).\n' | b'-3\n' | b'Let o(f) = -3*f**2 - 8*f - 5. Let x(y) = 5*y**2 + 12*y + 8. Let w(m) = 8*o(m) + 5*x(m). Let v be (2 + -3)*-1 + -3. Let p be (v/2)/((-1)/3). Determine w(p).\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify (f*f**(1/3))**(-4/17) assuming f is positive.\n' | b'f**(-16/51)\n' | b'Simplify (f*f**(1/3))**(-4/17) assuming f is positive.\n' | b'f**(-16/51)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {w: 8, n: 3}. What is prob of sequence nwwn?\n' | b'7/165\n' | b'Four letters picked without replacement from {w: 8, n: 3}. What is prob of sequence nwwn?\n' | b'7/165\n' | deepmind/math_dataset |
b'Let j(s) = 4*s + 9. Let t be j(9). Suppose 5*v = t + 25. Suppose -14 = -4*l + 4*h + v, -2*l + 2 = h. Solve l*f + 2*i + 1 = 0, -32 - 3 = 5*f - 5*i for f.\n' | b'-3\n' | b'Let j(s) = 4*s + 9. Let t be j(9). Suppose 5*v = t + 25. Suppose -14 = -4*l + 4*h + v, -2*l + 2 = h. Solve l*f + 2*i + 1 = 0, -32 - 3 = 5*f - 5*i for f.\n' | b'-3\n' | deepmind/math_dataset |
b'What is the third derivative of 5*z**2 + 262*z**3 - 246*z**3 + 20*z**2 wrt z?\n' | b'96\n' | b'What is the third derivative of 5*z**2 + 262*z**3 - 246*z**3 + 20*z**2 wrt z?\n' | b'96\n' | deepmind/math_dataset |
b'Suppose -5 = 3*f + 4*j, 5*f - j = -4*j - 1. What is the first derivative of -621*h + 6*h**2 + 621*h - f - 17*h**2 wrt h?\n' | b'-22*h\n' | b'Suppose -5 = 3*f + 4*j, 5*f - j = -4*j - 1. What is the first derivative of -621*h + 6*h**2 + 621*h - f - 17*h**2 wrt h?\n' | b'-22*h\n' | deepmind/math_dataset |
b'Calculate prob of sequence ak when two letters picked without replacement from {a: 1, m: 2, k: 2, z: 8}.\n' | b'1/78\n' | b'Calculate prob of sequence ak when two letters picked without replacement from {a: 1, m: 2, k: 2, z: 8}.\n' | b'1/78\n' | deepmind/math_dataset |
b'What is prob of sequence vhc when three letters picked without replacement from cccvcccchcc?\n' | b'1/110\n' | b'What is prob of sequence vhc when three letters picked without replacement from cccvcccchcc?\n' | b'1/110\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 p and 2 g when three letters picked without replacement from {g: 5, d: 4, p: 6}.\n' | b'12/91\n' | b'Calculate prob of picking 1 p and 2 g when three letters picked without replacement from {g: 5, d: 4, p: 6}.\n' | b'12/91\n' | deepmind/math_dataset |
b'Let v(c) = -4*c - 5 + 8 - 1 + 3*c - 11. Give v(-18).\n' | b'9\n' | b'Let v(c) = -4*c - 5 + 8 - 1 + 3*c - 11. Give v(-18).\n' | b'9\n' | deepmind/math_dataset |
b'Let l(d) = 5*d + 5. Let f(t) = -6*t - 6. Let v(y) = -6*f(y) - 7*l(y). Let x be v(4). Solve -n + 2 = -i - 1, 5*i - n - x = 0 for i.\n' | b'2\n' | b'Let l(d) = 5*d + 5. Let f(t) = -6*t - 6. Let v(y) = -6*f(y) - 7*l(y). Let x be v(4). Solve -n + 2 = -i - 1, 5*i - n - x = 0 for i.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify (((k/(k/(k*k*k**(-1/4)*k))*k)**(17/6)*k**(2/25)*k**(-1/5))**6)**(-6/11) assuming k is positive.\n' | b'k**(-1719/50)\n' | b'Simplify (((k/(k/(k*k*k**(-1/4)*k))*k)**(17/6)*k**(2/25)*k**(-1/5))**6)**(-6/11) assuming k is positive.\n' | b'k**(-1719/50)\n' | deepmind/math_dataset |
b'What is the third derivative of 46*b**6 + 28*b**6 - 17*b + 10*b**2 + 13*b**4 - 47*b**4 - 71*b**6 wrt b?\n' | b'360*b**3 - 816*b\n' | b'What is the third derivative of 46*b**6 + 28*b**6 - 17*b + 10*b**2 + 13*b**4 - 47*b**4 - 71*b**6 wrt b?\n' | b'360*b**3 - 816*b\n' | deepmind/math_dataset |
b'Simplify ((o**(2/3)/o)/o**6*o*o/o**(-5)*(o**(-1)/o)/o)/(((o**(-1/3)/o)/o)**34*(o*o**(-5))/(o/(o/o**(-4/9)))) assuming o is positive.\n' | b'o**(725/9)\n' | b'Simplify ((o**(2/3)/o)/o**6*o*o/o**(-5)*(o**(-1)/o)/o)/(((o**(-1/3)/o)/o)**34*(o*o**(-5))/(o/(o/o**(-4/9)))) assuming o is positive.\n' | b'o**(725/9)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {e: 3, u: 3, r: 5, f: 7, x: 1}. What is prob of sequence uef?\n' | b'7/646\n' | b'Three letters picked without replacement from {e: 3, u: 3, r: 5, f: 7, x: 1}. What is prob of sequence uef?\n' | b'7/646\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {v: 1, n: 2, h: 2, m: 2, g: 1, d: 7}. Give prob of picking 1 h, 1 v, 1 m, and 1 d.\n' | b'4/195\n' | b'Four letters picked without replacement from {v: 1, n: 2, h: 2, m: 2, g: 1, d: 7}. Give prob of picking 1 h, 1 v, 1 m, and 1 d.\n' | b'4/195\n' | deepmind/math_dataset |
b'Simplify j**18*j**(-18)*j assuming j is positive.\n' | b'j\n' | b'Simplify j**18*j**(-18)*j assuming j is positive.\n' | b'j\n' | deepmind/math_dataset |
b'Simplify (((r/r**(7/4))/r)/r)**(1/17) assuming r is positive.\n' | b'r**(-11/68)\n' | b'Simplify (((r/r**(7/4))/r)/r)**(1/17) assuming r is positive.\n' | b'r**(-11/68)\n' | deepmind/math_dataset |
b'Simplify (z**5*z*(((z**(-12)*z*z*z)/z)/z)/z*(z**(1/5))**(-16/9))**(1/21) assuming z is positive.\n' | b'z**(-286/945)\n' | b'Simplify (z**5*z*(((z**(-12)*z*z*z)/z)/z)/z*(z**(1/5))**(-16/9))**(1/21) assuming z is positive.\n' | b'z**(-286/945)\n' | deepmind/math_dataset |
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