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'Simplify ((g*g/((g**(-15)/g)/g)*g*g*g**(1/4))**(7/8))**(-26) assuming g is positive.\n' | b'g**(-7735/16)\n' | b'Simplify ((g*g/((g**(-15)/g)/g)*g*g*g**(1/4))**(7/8))**(-26) assuming g is positive.\n' | b'g**(-7735/16)\n' | deepmind/math_dataset |
b'Simplify ((c/c**(-4/7))**(-36))**(-1/73) assuming c is positive.\n' | b'c**(396/511)\n' | b'Simplify ((c/c**(-4/7))**(-36))**(-1/73) assuming c is positive.\n' | b'c**(396/511)\n' | deepmind/math_dataset |
b'Let d(g) = -3*g**2 - 3*g + 2*g**2 + 3*g + 5*g + 6. Suppose -r = l - 3, -4*l - 2*r + 36 = -6*r. Give d(l).\n' | b'0\n' | b'Let d(g) = -3*g**2 - 3*g + 2*g**2 + 3*g + 5*g + 6. Suppose -r = l - 3, -4*l - 2*r + 36 = -6*r. Give d(l).\n' | b'0\n' | deepmind/math_dataset |
b'Suppose -g = -7*v + 4*v + 6, -2 = -v - 2*g. Suppose -3*z = v*z - 70. Suppose 0 = z*y - 18*y + 32. Let a(f) = -f**3 + 9*f**2 - 7*f - 11. Calculate a(y).\n' | b'-3\n' | b'Suppose -g = -7*v + 4*v + 6, -2 = -v - 2*g. Suppose -3*z = v*z - 70. Suppose 0 = z*y - 18*y + 32. Let a(f) = -f**3 + 9*f**2 - 7*f - 11. Calculate a(y).\n' | b'-3\n' | deepmind/math_dataset |
b'Suppose -3*w - 4*b - 4 = 0, -w = 2*w - 5*b - 32. Let y(a) = -3*a**2 + 2*a**2 + 7 - 1 - w*a + 0*a**2. Determine y(-6).\n' | b'-6\n' | b'Suppose -3*w - 4*b - 4 = 0, -w = 2*w - 5*b - 32. Let y(a) = -3*a**2 + 2*a**2 + 7 - 1 - w*a + 0*a**2. Determine y(-6).\n' | b'-6\n' | deepmind/math_dataset |
b'Two letters picked without replacement from rlrllvvlvvlllllvlvvj. Give prob of sequence jv.\n' | b'7/380\n' | b'Two letters picked without replacement from rlrllvvlvvlllllvlvvj. Give prob of sequence jv.\n' | b'7/380\n' | deepmind/math_dataset |
b'Let l(g) = 36*g**2 - 7*g - 12. Let f(s) = 13*s**2 - s - 3. Let b(o) = -11*f(o) + 4*l(o). Determine b(19).\n' | b'23\n' | b'Let l(g) = 36*g**2 - 7*g - 12. Let f(s) = 13*s**2 - s - 3. Let b(o) = -11*f(o) + 4*l(o). Determine b(19).\n' | b'23\n' | deepmind/math_dataset |
b'Let r be (4/(-6))/(1/(-6)). Let z be (-7)/3 - (-6)/(-9). Let l be -4*(-2)/(-6)*z. Solve l*j = r*d - 1 + 17, -15 = 2*d + 5*j for d.\n' | b'-5\n' | b'Let r be (4/(-6))/(1/(-6)). Let z be (-7)/3 - (-6)/(-9). Let l be -4*(-2)/(-6)*z. Solve l*j = r*d - 1 + 17, -15 = 2*d + 5*j for d.\n' | b'-5\n' | deepmind/math_dataset |
b'Let c = 33594 + -33591. Let j(q) = -6*q**2 + 9*q - 6. Calculate j(c).\n' | b'-33\n' | b'Let c = 33594 + -33591. Let j(q) = -6*q**2 + 9*q - 6. Calculate j(c).\n' | b'-33\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {l: 1, o: 1, g: 2, z: 2, y: 1, e: 1}. What is prob of sequence lgg?\n' | b'1/168\n' | b'Three letters picked without replacement from {l: 1, o: 1, g: 2, z: 2, y: 1, e: 1}. What is prob of sequence lgg?\n' | b'1/168\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 z and 2 k when three letters picked without replacement from zuzkzzkkukuzzu.\n' | b'9/91\n' | b'Calculate prob of picking 1 z and 2 k when three letters picked without replacement from zuzkzzkkukuzzu.\n' | b'9/91\n' | deepmind/math_dataset |
b'Let y(p) = 2 - 2*p + p**2 + 0*p**2 + 2*p - p + p**3. Let r be y(-2). Find the second derivative of -2*l**5 + r*l + 2*l - 5*l wrt l.\n' | b'-40*l**3\n' | b'Let y(p) = 2 - 2*p + p**2 + 0*p**2 + 2*p - p + p**3. Let r be y(-2). Find the second derivative of -2*l**5 + r*l + 2*l - 5*l wrt l.\n' | b'-40*l**3\n' | deepmind/math_dataset |
b'Let h be 3/(-6) + (-2)/(-4). Solve 3*t + 5*u - 9*u - 21 = h, t - u = 6 for t.\n' | b'3\n' | b'Let h be 3/(-6) + (-2)/(-4). Solve 3*t + 5*u - 9*u - 21 = h, t - u = 6 for t.\n' | b'3\n' | deepmind/math_dataset |
b'Let a(r) = -r**2 - 14*r + 39. Suppose 5*f = -4*i - 105, 11*i - 44 = 2*f + 13*i. Calculate a(f).\n' | b'-12\n' | b'Let a(r) = -r**2 - 14*r + 39. Suppose 5*f = -4*i - 105, 11*i - 44 = 2*f + 13*i. Calculate a(f).\n' | b'-12\n' | deepmind/math_dataset |
b'Let k(c) = -7*c**2 - 3*c. Let u(y) = 14*y**2 + 7*y. Let a(n) = -5*k(n) - 2*u(n). Give a(1).\n' | b'8\n' | b'Let k(c) = -7*c**2 - 3*c. Let u(y) = 14*y**2 + 7*y. Let a(n) = -5*k(n) - 2*u(n). Give a(1).\n' | b'8\n' | deepmind/math_dataset |
b'Suppose 0 = 779*r - 791*r + 48. Let c(g) = -7*g + 8. Let t(k) = -11*k + 12. Let m(y) = 8*c(y) - 5*t(y). Determine m(r).\n' | b'0\n' | b'Suppose 0 = 779*r - 791*r + 48. Let c(g) = -7*g + 8. Let t(k) = -11*k + 12. Let m(y) = 8*c(y) - 5*t(y). Determine m(r).\n' | b'0\n' | deepmind/math_dataset |
b'Suppose -54*h = 60*h - 32*h - 2788. Suppose 4*o = 18 + 10. Suppose -4*d + 13 = -o. Solve p - 3*a - 9 = 0, 5*a = -3*p + d - h for p.\n' | b'-3\n' | b'Suppose -54*h = 60*h - 32*h - 2788. Suppose 4*o = 18 + 10. Suppose -4*d + 13 = -o. Solve p - 3*a - 9 = 0, 5*a = -3*p + d - h for p.\n' | b'-3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ththk. Give prob of picking 2 t, 1 h, and 1 k.\n' | b'2/5\n' | b'Four letters picked without replacement from ththk. Give prob of picking 2 t, 1 h, and 1 k.\n' | b'2/5\n' | deepmind/math_dataset |
b'Simplify (f**(-6/5)/f*f*f/((f/f**6)/f))/(f*f**(5/3)*f)**(-1/47) assuming f is positive.\n' | b'f**(4144/705)\n' | b'Simplify (f**(-6/5)/f*f*f/((f/f**6)/f))/(f*f**(5/3)*f)**(-1/47) assuming f is positive.\n' | b'f**(4144/705)\n' | deepmind/math_dataset |
b'Suppose 2*g = -4*v + 4, 4*g + 4*v - 9 = -1. Let r(f) = f**g + 3*f - 2 + 13 - 9. Determine r(-4).\n' | b'6\n' | b'Suppose 2*g = -4*v + 4, 4*g + 4*v - 9 = -1. Let r(f) = f**g + 3*f - 2 + 13 - 9. Determine r(-4).\n' | b'6\n' | deepmind/math_dataset |
b'Calculate prob of sequence asz when three letters picked without replacement from {z: 1, l: 1, a: 2, s: 1, g: 1, y: 1}.\n' | b'1/105\n' | b'Calculate prob of sequence asz when three letters picked without replacement from {z: 1, l: 1, a: 2, s: 1, g: 1, y: 1}.\n' | b'1/105\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 h and 2 z when three letters picked without replacement from {z: 7, j: 1, f: 3, h: 5}.\n' | b'3/16\n' | b'Calculate prob of picking 1 h and 2 z when three letters picked without replacement from {z: 7, j: 1, f: 3, h: 5}.\n' | b'3/16\n' | deepmind/math_dataset |
b'Let u(f) be the first derivative of 2*f**5 - 35*f - 35. Differentiate u(i) with respect to i.\n' | b'40*i**3\n' | b'Let u(f) be the first derivative of 2*f**5 - 35*f - 35. Differentiate u(i) with respect to i.\n' | b'40*i**3\n' | deepmind/math_dataset |
b'What is prob of sequence zzz when three letters picked without replacement from jzjzjjjzjjjjjzjjjjz?\n' | b'10/969\n' | b'What is prob of sequence zzz when three letters picked without replacement from jzjzjjjzjjjjjzjjjjz?\n' | b'10/969\n' | deepmind/math_dataset |
b'Let j(v) = 9*v**2 - 44*v + 28. Let i(g) = 1. Let s(p) = 4*i(p) - j(p). Let k(o) be the first derivative of s(o). Find the first derivative of k(f) wrt f.\n' | b'-18\n' | b'Let j(v) = 9*v**2 - 44*v + 28. Let i(g) = 1. Let s(p) = 4*i(p) - j(p). Let k(o) be the first derivative of s(o). Find the first derivative of k(f) wrt f.\n' | b'-18\n' | deepmind/math_dataset |
b'Suppose -y = 5*r - 19, r + 4*r + 2*y = 18. Let z = r - 6. Let w(t) be the second derivative of 4*t**3/3 - t**2/2 + 4*t. Determine w(z).\n' | b'-17\n' | b'Suppose -y = 5*r - 19, r + 4*r + 2*y = 18. Let z = r - 6. Let w(t) be the second derivative of 4*t**3/3 - t**2/2 + 4*t. Determine w(z).\n' | b'-17\n' | deepmind/math_dataset |
b'Let d(w) be the second derivative of -w**5/20 - w**4/6 + w**3/6 + 13*w**2 - 1175*w. What is d(0)?\n' | b'26\n' | b'Let d(w) be the second derivative of -w**5/20 - w**4/6 + w**3/6 + 13*w**2 - 1175*w. What is d(0)?\n' | b'26\n' | deepmind/math_dataset |
b'Two letters picked without replacement from lsnnnnlk. Give prob of sequence ns.\n' | b'1/14\n' | b'Two letters picked without replacement from lsnnnnlk. Give prob of sequence ns.\n' | b'1/14\n' | deepmind/math_dataset |
b'Let k = -2290 + 2320. Solve 4 + k = -3*f + 5*q, -2*f + 5*q = 31 for f.\n' | b'-3\n' | b'Let k = -2290 + 2320. Solve 4 + k = -3*f + 5*q, -2*f + 5*q = 31 for f.\n' | b'-3\n' | deepmind/math_dataset |
b'Let d(h) be the first derivative of -h**5/20 - h**4/8 - h**2 + 2. Let q(j) be the second derivative of d(j). What is the second derivative of q(x) wrt x?\n' | b'-6\n' | b'Let d(h) be the first derivative of -h**5/20 - h**4/8 - h**2 + 2. Let q(j) be the second derivative of d(j). What is the second derivative of q(x) wrt x?\n' | b'-6\n' | deepmind/math_dataset |
b'Let f be 19 + -21 - (25/(-15) + 52/(-12)). Solve -60*w + 25 = -64*w + x, w - 15 = -f*x for w.\n' | b'-5\n' | b'Let f be 19 + -21 - (25/(-15) + 52/(-12)). Solve -60*w + 25 = -64*w + x, w - 15 = -f*x for w.\n' | b'-5\n' | deepmind/math_dataset |
b'Calculate prob of sequence jjbb when four letters picked without replacement from wbbjbjbjwj.\n' | b'1/35\n' | b'Calculate prob of sequence jjbb when four letters picked without replacement from wbbjbjbjwj.\n' | b'1/35\n' | deepmind/math_dataset |
b'Let l(m) = 2*m**2 - 7*m - 4. Let h(q) = -q**2 + 7*q + 3. Let j(b) = -3*h(b) - 2*l(b). Suppose -2*k = 2*k + 3*p - 2, p = -2. Suppose 5 = k*a - 3*a. Give j(a).\n' | b'9\n' | b'Let l(m) = 2*m**2 - 7*m - 4. Let h(q) = -q**2 + 7*q + 3. Let j(b) = -3*h(b) - 2*l(b). Suppose -2*k = 2*k + 3*p - 2, p = -2. Suppose 5 = k*a - 3*a. Give j(a).\n' | b'9\n' | deepmind/math_dataset |
b'Let z(w) = -682*w**3 - w**2 + 75*w - 8. Let y(q) = 2045*q**3 + 4*q**2 - 225*q + 26. Let i(s) = -4*y(s) - 13*z(s). What is the third derivative of i(t) wrt t?\n' | b'4116\n' | b'Let z(w) = -682*w**3 - w**2 + 75*w - 8. Let y(q) = 2045*q**3 + 4*q**2 - 225*q + 26. Let i(s) = -4*y(s) - 13*z(s). What is the third derivative of i(t) wrt t?\n' | b'4116\n' | deepmind/math_dataset |
b'Simplify (i/i**13)**(1/5) assuming i is positive.\n' | b'i**(-12/5)\n' | b'Simplify (i/i**13)**(1/5) assuming i is positive.\n' | b'i**(-12/5)\n' | deepmind/math_dataset |
b'Suppose -i - 4 = i. Let q be (6/9)/(i/(-9)). Suppose -q*r - 4 = -16. Solve -r = a - 2*a + 3*p, -2*a + 1 = p for a.\n' | b'1\n' | b'Suppose -i - 4 = i. Let q be (6/9)/(i/(-9)). Suppose -q*r - 4 = -16. Solve -r = a - 2*a + 3*p, -2*a + 1 = p for a.\n' | b'1\n' | deepmind/math_dataset |
b'Let u(a) be the first derivative of -a**3/3 + 61*a**2/2 - 906*a - 13497. What is u(25)?\n' | b'-6\n' | b'Let u(a) be the first derivative of -a**3/3 + 61*a**2/2 - 906*a - 13497. What is u(25)?\n' | b'-6\n' | deepmind/math_dataset |
b'What is prob of sequence tcjl when four letters picked without replacement from ttcjcjla?\n' | b'1/210\n' | b'What is prob of sequence tcjl when four letters picked without replacement from ttcjcjla?\n' | b'1/210\n' | deepmind/math_dataset |
b'Differentiate -4 + 5*c + 0 + 2*c + 2 with respect to c.\n' | b'7\n' | b'Differentiate -4 + 5*c + 0 + 2*c + 2 with respect to c.\n' | b'7\n' | deepmind/math_dataset |
b'Simplify (f**(3/7)*f*f**(-1)/f)/(f/(f/((f/f**(-1/3))/f)))**(1/11) assuming f is positive.\n' | b'f**(-139/231)\n' | b'Simplify (f**(3/7)*f*f**(-1)/f)/(f/(f/((f/f**(-1/3))/f)))**(1/11) assuming f is positive.\n' | b'f**(-139/231)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {h: 9, v: 3}. Give prob of sequence hh.\n' | b'6/11\n' | b'Two letters picked without replacement from {h: 9, v: 3}. Give prob of sequence hh.\n' | b'6/11\n' | deepmind/math_dataset |
b'Simplify ((u**(-1))**(-14))**20/(((u**1*u)/u*u)**(-5/7)/(u**(-4)/(u/(u/(u*u**(-5))*u)))) assuming u is positive.\n' | b'u**(1977/7)\n' | b'Simplify ((u**(-1))**(-14))**20/(((u**1*u)/u*u)**(-5/7)/(u**(-4)/(u/(u/(u*u**(-5))*u)))) assuming u is positive.\n' | b'u**(1977/7)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {d: 2, y: 1, p: 2, h: 5, w: 4}. What is prob of sequence ydd?\n' | b'1/1092\n' | b'Three letters picked without replacement from {d: 2, y: 1, p: 2, h: 5, w: 4}. What is prob of sequence ydd?\n' | b'1/1092\n' | deepmind/math_dataset |
b'Let h(k) = 11482*k**3 - 3619*k + 5. Let v(a) = -17221*a**3 + 5423*a - 7. Let n(b) = 7*h(b) + 5*v(b). What is the second derivative of n(u) wrt u?\n' | b'-34386*u\n' | b'Let h(k) = 11482*k**3 - 3619*k + 5. Let v(a) = -17221*a**3 + 5423*a - 7. Let n(b) = 7*h(b) + 5*v(b). What is the second derivative of n(u) wrt u?\n' | b'-34386*u\n' | deepmind/math_dataset |
b'Let x(w) be the first derivative of -5*w + 0*w**2 + 7 + 0*w**3 + 7/4*w**4. Find the first derivative of x(r) wrt r.\n' | b'21*r**2\n' | b'Let x(w) be the first derivative of -5*w + 0*w**2 + 7 + 0*w**3 + 7/4*w**4. Find the first derivative of x(r) wrt r.\n' | b'21*r**2\n' | deepmind/math_dataset |
b'Let d(l) be the second derivative of -l**4/6 + l**3/2 - 2*l**2 + 29*l - 3. What is the second derivative of d(n) wrt n?\n' | b'-4\n' | b'Let d(l) be the second derivative of -l**4/6 + l**3/2 - 2*l**2 + 29*l - 3. What is the second derivative of d(n) wrt n?\n' | b'-4\n' | deepmind/math_dataset |
b'Let j(w) be the third derivative of 0*w**5 + 7/3*w**3 + 17 + 1/12*w**4 + 0*w + 0*w**6 - 46/105*w**7 + w**2. What is the second derivative of j(b) wrt b?\n' | b'-1104*b**2\n' | b'Let j(w) be the third derivative of 0*w**5 + 7/3*w**3 + 17 + 1/12*w**4 + 0*w + 0*w**6 - 46/105*w**7 + w**2. What is the second derivative of j(b) wrt b?\n' | b'-1104*b**2\n' | deepmind/math_dataset |
b'Let r = -3062 + 3084. Solve c - 8 = 2*z, 3*z - 23*c + r*c + 10 = 0 for z.\n' | b'-2\n' | b'Let r = -3062 + 3084. Solve c - 8 = 2*z, 3*z - 23*c + r*c + 10 = 0 for z.\n' | b'-2\n' | deepmind/math_dataset |
b'Let o = 20 - 15. Suppose o*q + 4 = 14. Solve -19 = -3*c - 2*f, -f + 3 + q = 0 for c.\n' | b'3\n' | b'Let o = 20 - 15. Suppose o*q + 4 = 14. Solve -19 = -3*c - 2*f, -f + 3 + q = 0 for c.\n' | b'3\n' | deepmind/math_dataset |
b'Let j(g) be the third derivative of -g**6/24 - 19*g**5/120 - g**4 - 7*g**2. Let m(t) be the second derivative of j(t). Differentiate m(b) wrt b.\n' | b'-30\n' | b'Let j(g) be the third derivative of -g**6/24 - 19*g**5/120 - g**4 - 7*g**2. Let m(t) be the second derivative of j(t). Differentiate m(b) wrt b.\n' | b'-30\n' | deepmind/math_dataset |
b'Suppose -10 = l + l. Let n(k) = -1. Let s(j) = -4*j**2 + 2. Let o(y) = l*n(y) + s(y). Find the first derivative of o(r) wrt r.\n' | b'-8*r\n' | b'Suppose -10 = l + l. Let n(k) = -1. Let s(j) = -4*j**2 + 2. Let o(y) = l*n(y) + s(y). Find the first derivative of o(r) wrt r.\n' | b'-8*r\n' | deepmind/math_dataset |
b'What is the third derivative of 20*g**3 + 230*g**2 + 76*g**2 + 544*g**2 - 474*g**6 - 20*g**3 wrt g?\n' | b'-56880*g**3\n' | b'What is the third derivative of 20*g**3 + 230*g**2 + 76*g**2 + 544*g**2 - 474*g**6 - 20*g**3 wrt g?\n' | b'-56880*g**3\n' | deepmind/math_dataset |
b'Suppose -2 = 3*l + 1, -l + 5 = -3*u. Let d(z) = 3*z - 2. Let q(f) = -9*f + 6. Let k(j) = 7*d(j) + 2*q(j). Calculate k(u).\n' | b'-8\n' | b'Suppose -2 = 3*l + 1, -l + 5 = -3*u. Let d(z) = 3*z - 2. Let q(f) = -9*f + 6. Let k(j) = 7*d(j) + 2*q(j). Calculate k(u).\n' | b'-8\n' | deepmind/math_dataset |
b'Let x be 2 + -4 + (0 - -7). Find the second derivative of 22*a**4 - 2*a - 4*a - x*a wrt a.\n' | b'264*a**2\n' | b'Let x be 2 + -4 + (0 - -7). Find the second derivative of 22*a**4 - 2*a - 4*a - x*a wrt a.\n' | b'264*a**2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {a: 2, y: 2, d: 2}. What is prob of picking 1 y and 1 d?\n' | b'4/15\n' | b'Two letters picked without replacement from {a: 2, y: 2, d: 2}. What is prob of picking 1 y and 1 d?\n' | b'4/15\n' | deepmind/math_dataset |
b'Simplify ((j**5/j**(-2/5))/((j/(j**3*j))/j*j/j**(-1)))**(-49) assuming j is positive.\n' | b'j**(-1813/5)\n' | b'Simplify ((j**5/j**(-2/5))/((j/(j**3*j))/j*j/j**(-1)))**(-49) assuming j is positive.\n' | b'j**(-1813/5)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from flfffffffffllffflf. Give prob of picking 1 l and 1 f.\n' | b'56/153\n' | b'Two letters picked without replacement from flfffffffffllffflf. Give prob of picking 1 l and 1 f.\n' | b'56/153\n' | deepmind/math_dataset |
b'Four letters picked without replacement from maaaaammmmaaamaaama. What is prob of picking 1 m and 3 a?\n' | b'385/969\n' | b'Four letters picked without replacement from maaaaammmmaaamaaama. What is prob of picking 1 m and 3 a?\n' | b'385/969\n' | deepmind/math_dataset |
b'Suppose 0 = -2*r - 3*c + 1, 8*c + 12 = 4*c. Solve -r*y = -8*y + 4*l + 17, 0 = -y - 4*l - 21 for y.\n' | b'-1\n' | b'Suppose 0 = -2*r - 3*c + 1, 8*c + 12 = 4*c. Solve -r*y = -8*y + 4*l + 17, 0 = -y - 4*l - 21 for y.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify (i*i**(-2/19)*i/(i/(i**(8/3)*i)*i*i)*i)/((i/(i/(i**30/i*i*i))*i)/i**(2/101)) assuming i is positive.\n' | b'i**(-163607/5757)\n' | b'Simplify (i*i**(-2/19)*i/(i/(i**(8/3)*i)*i*i)*i)/((i/(i/(i**30/i*i*i))*i)/i**(2/101)) assuming i is positive.\n' | b'i**(-163607/5757)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from kgggqqu. What is prob of picking 1 g and 1 q?\n' | b'2/7\n' | b'Two letters picked without replacement from kgggqqu. What is prob of picking 1 g and 1 q?\n' | b'2/7\n' | deepmind/math_dataset |
b'Let f(p) = -16*p + 40. Let q(m) = m - 1. Let i(d) = -f(d) - 20*q(d). Let r be i(-7). Solve 0 = -5*o + w - r - 16, 2*o = -2*w for o.\n' | b'-4\n' | b'Let f(p) = -16*p + 40. Let q(m) = m - 1. Let i(d) = -f(d) - 20*q(d). Let r be i(-7). Solve 0 = -5*o + w - r - 16, 2*o = -2*w for o.\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose -40*n = 371 - 571. Let a(z) be the first derivative of 5*z**2/2 + 4*z - 3. Determine a(n).\n' | b'29\n' | b'Suppose -40*n = 371 - 571. Let a(z) be the first derivative of 5*z**2/2 + 4*z - 3. Determine a(n).\n' | b'29\n' | deepmind/math_dataset |
b'What is prob of sequence eb when two letters picked without replacement from {b: 1, f: 1, m: 3, w: 1, e: 1}?\n' | b'1/42\n' | b'What is prob of sequence eb when two letters picked without replacement from {b: 1, f: 1, m: 3, w: 1, e: 1}?\n' | b'1/42\n' | deepmind/math_dataset |
b'What is prob of sequence jxy when three letters picked without replacement from jysyyyyyyjyjjjxjy?\n' | b'9/680\n' | b'What is prob of sequence jxy when three letters picked without replacement from jysyyyyyyjyjjjxjy?\n' | b'9/680\n' | deepmind/math_dataset |
b'Simplify ((c*c**(-7)*c)/c**0)**(-16)*((c*c**(2/5)/c)/(c**(1/6)*c*c))**(-28/9) assuming c is positive.\n' | b'c**(11542/135)\n' | b'Simplify ((c*c**(-7)*c)/c**0)**(-16)*((c*c**(2/5)/c)/(c**(1/6)*c*c))**(-28/9) assuming c is positive.\n' | b'c**(11542/135)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from mninmmmmfmmmimnm. Give prob of sequence nm.\n' | b'1/8\n' | b'Two letters picked without replacement from mninmmmmfmmmimnm. Give prob of sequence nm.\n' | b'1/8\n' | deepmind/math_dataset |
b'Simplify (s/(s*s**(1/3)))/((s*s**(-2/3)*s)/s)*(s*(s/s**(-1/8))/s)/(s**(-6/11)*s) assuming s is positive.\n' | b's**(1/264)\n' | b'Simplify (s/(s*s**(1/3)))/((s*s**(-2/3)*s)/s)*(s*(s/s**(-1/8))/s)/(s**(-6/11)*s) assuming s is positive.\n' | b's**(1/264)\n' | deepmind/math_dataset |
b'Let b = -11 + 15. Let u be (4/(-36)*-6)/(100/(-36) - -3). Solve 10 = -t - 3*c, b*t - 10 = c - u*c for t.\n' | b'5\n' | b'Let b = -11 + 15. Let u be (4/(-36)*-6)/(100/(-36) - -3). Solve 10 = -t - 3*c, b*t - 10 = c - u*c for t.\n' | b'5\n' | deepmind/math_dataset |
b'Let v = -68 - -68. Solve 2*i = -3*u, -2*i + v*u = 2*u for i.\n' | b'0\n' | b'Let v = -68 - -68. Solve 2*i = -3*u, -2*i + v*u = 2*u for i.\n' | b'0\n' | deepmind/math_dataset |
b'Let m(i) = -2*i**2 - 11*i - 12. Let k be m(-5). Let r(w) = 7*w**3 - w - 9. Let p(n) = -15*n**3 + n**2 + n + 19. Let d(g) = -6*p(g) - 13*r(g). Calculate d(k).\n' | b'3\n' | b'Let m(i) = -2*i**2 - 11*i - 12. Let k be m(-5). Let r(w) = 7*w**3 - w - 9. Let p(n) = -15*n**3 + n**2 + n + 19. Let d(g) = -6*p(g) - 13*r(g). Calculate d(k).\n' | b'3\n' | deepmind/math_dataset |
b'Let w(a) be the second derivative of a**6/120 - a**5/20 - a**4/6 + 2*a**3/3 + 2*a**2 + 2*a. Let y(l) be the first derivative of w(l). Give y(3).\n' | b'-8\n' | b'Let w(a) be the second derivative of a**6/120 - a**5/20 - a**4/6 + 2*a**3/3 + 2*a**2 + 2*a. Let y(l) be the first derivative of w(l). Give y(3).\n' | b'-8\n' | deepmind/math_dataset |
b'Simplify (((b/b**(4/11))**(-21))**(-5))**20 assuming b is positive.\n' | b'b**(14700/11)\n' | b'Simplify (((b/b**(4/11))**(-21))**(-5))**20 assuming b is positive.\n' | b'b**(14700/11)\n' | deepmind/math_dataset |
b'Let f = -2 - 67. Let y = f + 71. Suppose 0 = y*d - 10*z + 6*z + 6, -2*d - 3*z + 15 = 0. Solve 0 = d*s + 4*g - 2 + 1, -5*g = 5*s for s.\n' | b'-1\n' | b'Let f = -2 - 67. Let y = f + 71. Suppose 0 = y*d - 10*z + 6*z + 6, -2*d - 3*z + 15 = 0. Solve 0 = d*s + 4*g - 2 + 1, -5*g = 5*s for s.\n' | b'-1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from jgxwf. What is prob of sequence xw?\n' | b'1/20\n' | b'Two letters picked without replacement from jgxwf. What is prob of sequence xw?\n' | b'1/20\n' | deepmind/math_dataset |
b'Three letters picked without replacement from swsmwwwwwmwwwww. Give prob of sequence ssm.\n' | b'2/1365\n' | b'Three letters picked without replacement from swsmwwwwwmwwwww. Give prob of sequence ssm.\n' | b'2/1365\n' | deepmind/math_dataset |
b'What is prob of sequence vv when two letters picked without replacement from vdvvvvvvvvvvvddvvv?\n' | b'35/51\n' | b'What is prob of sequence vv when two letters picked without replacement from vdvvvvvvvvvvvddvvv?\n' | b'35/51\n' | deepmind/math_dataset |
b'Let p be 2/((-1)/(5/(-2))). Let l(r) = -18 + 123*r - 61*r - 60*r. Let f be l(11). Solve p*i = f*m - 16, 2*m - 12 = 2*i - m for i.\n' | b'0\n' | b'Let p be 2/((-1)/(5/(-2))). Let l(r) = -18 + 123*r - 61*r - 60*r. Let f be l(11). Solve p*i = f*m - 16, 2*m - 12 = 2*i - m for i.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify (((p**(-6)/(p/(p/(p**(-1/9)/p*p))))/(((p*p**(-2/3)*p)/p*p)/((p*p*p**(-7))/p)))**19)**(-3/23) assuming p is positive.\n' | b'p**(2261/69)\n' | b'Simplify (((p**(-6)/(p/(p/(p**(-1/9)/p*p))))/(((p*p**(-2/3)*p)/p*p)/((p*p*p**(-7))/p)))**19)**(-3/23) assuming p is positive.\n' | b'p**(2261/69)\n' | deepmind/math_dataset |
b'Let v(r) = -7*r**2 - 56*r - 131. Let f(c) = 4*c**2 + 29*c + 66. Let m(b) = -5*f(b) - 3*v(b). Let z be m(-20). Solve -k - 5 = -3*x, -2*k + 5*x = -z*k + 19 for k.\n' | b'4\n' | b'Let v(r) = -7*r**2 - 56*r - 131. Let f(c) = 4*c**2 + 29*c + 66. Let m(b) = -5*f(b) - 3*v(b). Let z be m(-20). Solve -k - 5 = -3*x, -2*k + 5*x = -z*k + 19 for k.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify ((((z/(z*z**4/z))/z*z/z**(-1/3))/(z**(-2))**(10/17))**(1/71))**23 assuming z is positive.\n' | b'z**(-1748/3621)\n' | b'Simplify ((((z/(z*z**4/z))/z*z/z**(-1/3))/(z**(-2))**(10/17))**(1/71))**23 assuming z is positive.\n' | b'z**(-1748/3621)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {b: 1, s: 4, i: 1, x: 6, g: 3}. Give prob of sequence ss.\n' | b'2/35\n' | b'Two letters picked without replacement from {b: 1, s: 4, i: 1, x: 6, g: 3}. Give prob of sequence ss.\n' | b'2/35\n' | deepmind/math_dataset |
b'Suppose -9*i + 2*i = 0. Let n be 1/(-2 - (-1 - 0))*-3. Let u(l) = -5*l**2 + 16*l + 1. Let c be u(n). Solve 4*x - 3 = 5*f + 4, 5*x + c*f - 19 = i for x.\n' | b'3\n' | b'Suppose -9*i + 2*i = 0. Let n be 1/(-2 - (-1 - 0))*-3. Let u(l) = -5*l**2 + 16*l + 1. Let c be u(n). Solve 4*x - 3 = 5*f + 4, 5*x + c*f - 19 = i for x.\n' | b'3\n' | deepmind/math_dataset |
b'Let z(d) = -8*d - 6. Let n be z(6). Let a = n + 72. What is the third derivative of -2*f**3 - 10 - 8 + a + 6*f**2 wrt f?\n' | b'-12\n' | b'Let z(d) = -8*d - 6. Let n be z(6). Let a = n + 72. What is the third derivative of -2*f**3 - 10 - 8 + a + 6*f**2 wrt f?\n' | b'-12\n' | deepmind/math_dataset |
b'Let g(r) be the third derivative of r**5/60 - 5*r**4/12 - 4*r**3/3 + 140*r**2. Calculate g(12).\n' | b'16\n' | b'Let g(r) be the third derivative of r**5/60 - 5*r**4/12 - 4*r**3/3 + 140*r**2. Calculate g(12).\n' | b'16\n' | deepmind/math_dataset |
b'Let g(h) = -h**2 - 6*h - 3. Suppose 61*o + 448 = -51*o. Determine g(o).\n' | b'5\n' | b'Let g(h) = -h**2 - 6*h - 3. Suppose 61*o + 448 = -51*o. Determine g(o).\n' | b'5\n' | deepmind/math_dataset |
b'Simplify (v**(1/10)/(v*v*v/(v**(4/9)/v))*v**(-42)*v*v/(v*v**(-3/8)))**(-5/3) assuming v is positive.\n' | b'v**(15869/216)\n' | b'Simplify (v**(1/10)/(v*v*v/(v**(4/9)/v))*v**(-42)*v*v/(v*v**(-3/8)))**(-5/3) assuming v is positive.\n' | b'v**(15869/216)\n' | deepmind/math_dataset |
b'Simplify ((t*t/t**(-12))/((t/(t/t**1))/t)*t**(-11)/((t/(t**(-14)/t)*t)/t))**(32/3) assuming t is positive.\n' | b't**(-416/3)\n' | b'Simplify ((t*t/t**(-12))/((t/(t/t**1))/t)*t**(-11)/((t/(t**(-14)/t)*t)/t))**(32/3) assuming t is positive.\n' | b't**(-416/3)\n' | deepmind/math_dataset |
b'Let f(u) = u**3 + u**2 + u - 1. Let s be f(1). Suppose -5*h = -0*h + 4*i + 52, 34 = -5*h + s*i. Let q = h + 13. Solve 3*r - 18 = -3*p, 4 = r + q*p - 10 for r.\n' | b'4\n' | b'Let f(u) = u**3 + u**2 + u - 1. Let s be f(1). Suppose -5*h = -0*h + 4*i + 52, 34 = -5*h + s*i. Let q = h + 13. Solve 3*r - 18 = -3*p, 4 = r + q*p - 10 for r.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify l**3*l**(-2)*(l*l*l**0*l)**50 assuming l is positive.\n' | b'l**151\n' | b'Simplify l**3*l**(-2)*(l*l*l**0*l)**50 assuming l is positive.\n' | b'l**151\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ennnnen. What is prob of sequence nee?\n' | b'1/21\n' | b'Three letters picked without replacement from ennnnen. What is prob of sequence nee?\n' | b'1/21\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ttxxtxxxxxtttxttxtt. What is prob of sequence tt?\n' | b'5/19\n' | b'Two letters picked without replacement from ttxxtxxxxxtttxttxtt. What is prob of sequence tt?\n' | b'5/19\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {l: 1, w: 3, a: 4, e: 3}. What is prob of picking 1 e and 1 a?\n' | b'12/55\n' | b'Two letters picked without replacement from {l: 1, w: 3, a: 4, e: 3}. What is prob of picking 1 e and 1 a?\n' | b'12/55\n' | deepmind/math_dataset |
b'Four letters picked without replacement from edadaeeaaeajddd. Give prob of sequence jjaa.\n' | b'0\n' | b'Four letters picked without replacement from edadaeeaaeajddd. Give prob of sequence jjaa.\n' | b'0\n' | deepmind/math_dataset |
b'Calculate prob of picking 4 b when four letters picked without replacement from {b: 4, a: 5, c: 1}.\n' | b'1/210\n' | b'Calculate prob of picking 4 b when four letters picked without replacement from {b: 4, a: 5, c: 1}.\n' | b'1/210\n' | deepmind/math_dataset |
b'Suppose 0 = -5*f - q - 380, 0 = 3*f - 4*q + q + 246. Let x = f + 79. Solve 3*w + x = -2*h, 5*h + 2*w + 5 = -w for h.\n' | b'-1\n' | b'Suppose 0 = -5*f - q - 380, 0 = 3*f - 4*q + q + 246. Let x = f + 79. Solve 3*w + x = -2*h, 5*h + 2*w + 5 = -w for h.\n' | b'-1\n' | deepmind/math_dataset |
b'Find the third derivative of 18*f**4 - 1742*f**3 - 1786*f**3 + 3629*f**3 + 1457*f**2 - 14*f**4 wrt f.\n' | b'96*f + 606\n' | b'Find the third derivative of 18*f**4 - 1742*f**3 - 1786*f**3 + 3629*f**3 + 1457*f**2 - 14*f**4 wrt f.\n' | b'96*f + 606\n' | deepmind/math_dataset |
b'What is prob of sequence yy when two letters picked without replacement from yyeeyeyyeeyyyeeeeyy?\n' | b'5/19\n' | b'What is prob of sequence yy when two letters picked without replacement from yyeeyeyyeeyyyeeeeyy?\n' | b'5/19\n' | deepmind/math_dataset |
b'Find the first derivative of -14 - 266*u + 283 + 190 + 347 wrt u.\n' | b'-266\n' | b'Find the first derivative of -14 - 266*u + 283 + 190 + 347 wrt u.\n' | b'-266\n' | deepmind/math_dataset |
b'Simplify w**6/w*w/((w**(4/9)*w)/w)*(w**(-1/4))**10 assuming w is positive.\n' | b'w**(55/18)\n' | b'Simplify w**6/w*w/((w**(4/9)*w)/w)*(w**(-1/4))**10 assuming w is positive.\n' | b'w**(55/18)\n' | deepmind/math_dataset |
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