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'Three letters picked without replacement from fdfuufdnbfffu. Give prob of picking 1 d and 2 n.\n' | b'0\n' | b'Three letters picked without replacement from fdfuufdnbfffu. Give prob of picking 1 d and 2 n.\n' | b'0\n' | deepmind/math_dataset |
b'Let w(q) = -q**3 - 11*q**2 + 2*q - 13. Let t be w(-11). Let g = -33 - t. Differentiate -12 - n**2 - n**g + 18 - n**2 wrt n.\n' | b'-6*n\n' | b'Let w(q) = -q**3 - 11*q**2 + 2*q - 13. Let t be w(-11). Let g = -33 - t. Differentiate -12 - n**2 - n**g + 18 - n**2 wrt n.\n' | b'-6*n\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {s: 1, h: 2, a: 2, n: 4, m: 3}. Give prob of picking 2 n and 1 h.\n' | b'3/55\n' | b'Three letters picked without replacement from {s: 1, h: 2, a: 2, n: 4, m: 3}. Give prob of picking 2 n and 1 h.\n' | b'3/55\n' | deepmind/math_dataset |
b'Simplify ((g/(g*g**(-2/9)*g))**41*(g/g**(-10))**16)**46 assuming g is positive.\n' | b'g**(59662/9)\n' | b'Simplify ((g/(g*g**(-2/9)*g))**41*(g/g**(-10))**16)**46 assuming g is positive.\n' | b'g**(59662/9)\n' | deepmind/math_dataset |
b'Simplify (p**(-4)*p)/(p**(-6/5)*p)*((p**(-1)/p)/p)**1*((p*p**(-1/14)*p)/(p*p**(7/5)*p))**(-1/84) assuming p is positive.\n' | b'p**(-34001/5880)\n' | b'Simplify (p**(-4)*p)/(p**(-6/5)*p)*((p**(-1)/p)/p)**1*((p*p**(-1/14)*p)/(p*p**(7/5)*p))**(-1/84) assuming p is positive.\n' | b'p**(-34001/5880)\n' | deepmind/math_dataset |
b'What is prob of sequence hrwd when four letters picked without replacement from jwhrdjq?\n' | b'1/840\n' | b'What is prob of sequence hrwd when four letters picked without replacement from jwhrdjq?\n' | b'1/840\n' | deepmind/math_dataset |
b'Let y = 6 - -1. Let b(v) = -5*v - 1. Let u(n) = 23*n + 3. Let p(g) = 9*b(g) + 2*u(g). What is p(y)?\n' | b'4\n' | b'Let y = 6 - -1. Let b(v) = -5*v - 1. Let u(n) = 23*n + 3. Let p(g) = 9*b(g) + 2*u(g). What is p(y)?\n' | b'4\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 s when two letters picked without replacement from {w: 3, g: 2, s: 4}.\n' | b'1/6\n' | b'Calculate prob of picking 2 s when two letters picked without replacement from {w: 3, g: 2, s: 4}.\n' | b'1/6\n' | deepmind/math_dataset |
b'What is prob of picking 1 k and 1 x when two letters picked without replacement from kxx?\n' | b'2/3\n' | b'What is prob of picking 1 k and 1 x when two letters picked without replacement from kxx?\n' | b'2/3\n' | deepmind/math_dataset |
b'Let l(a) = a**2 - 6*a - 7. Let p be l(7). Suppose p = 3*q - 17 + 2. Suppose 0 = o - 2*h + h - 2, -4*h = -q*o + 12. Solve -o = 3*y - c, 2*c + 6 = y - 2*y for y.\n' | b'-2\n' | b'Let l(a) = a**2 - 6*a - 7. Let p be l(7). Suppose p = 3*q - 17 + 2. Suppose 0 = o - 2*h + h - 2, -4*h = -q*o + 12. Solve -o = 3*y - c, 2*c + 6 = y - 2*y for y.\n' | b'-2\n' | deepmind/math_dataset |
b'Differentiate -1974 - 2372*t**4 + 50*t**2 - 50*t**2 - 179 with respect to t.\n' | b'-9488*t**3\n' | b'Differentiate -1974 - 2372*t**4 + 50*t**2 - 50*t**2 - 179 with respect to t.\n' | b'-9488*t**3\n' | deepmind/math_dataset |
b'Suppose -20 = -3*d - d. Let z(v) be the second derivative of -1/20*v**d - 2*v - v**2 + 0*v**3 + 0*v**4 + 0. Differentiate z(n) with respect to n.\n' | b'-3*n**2\n' | b'Suppose -20 = -3*d - d. Let z(v) be the second derivative of -1/20*v**d - 2*v - v**2 + 0*v**3 + 0*v**4 + 0. Differentiate z(n) with respect to n.\n' | b'-3*n**2\n' | deepmind/math_dataset |
b'Let w(m) = -m. Let c be w(-3). What is the first derivative of 3*k + 1 + 3*k**4 - 5 - c*k wrt k?\n' | b'12*k**3\n' | b'Let w(m) = -m. Let c be w(-3). What is the first derivative of 3*k + 1 + 3*k**4 - 5 - c*k wrt k?\n' | b'12*k**3\n' | deepmind/math_dataset |
b'Let y(s) = -s**3 - 7*s**2 + 8*s - 3. Let b = -87 + 93. Let u be b/(-4) + -6 - (-2)/(-4). What is y(u)?\n' | b'-3\n' | b'Let y(s) = -s**3 - 7*s**2 + 8*s - 3. Let b = -87 + 93. Let u be b/(-4) + -6 - (-2)/(-4). What is y(u)?\n' | b'-3\n' | deepmind/math_dataset |
b'Let k(q) = -2 + 2*q + 5 + 0 + 0*q. Suppose -29*t - 42 = -22*t. Determine k(t).\n' | b'-9\n' | b'Let k(q) = -2 + 2*q + 5 + 0 + 0*q. Suppose -29*t - 42 = -22*t. Determine k(t).\n' | b'-9\n' | deepmind/math_dataset |
b'What is the second derivative of 54*u + 2 + u**3 + 2*u**4 + 10*u + u**3 - 31*u - u**3 wrt u?\n' | b'24*u**2 + 6*u\n' | b'What is the second derivative of 54*u + 2 + u**3 + 2*u**4 + 10*u + u**3 - 31*u - u**3 wrt u?\n' | b'24*u**2 + 6*u\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {e: 4, m: 2, a: 2, x: 2}. What is prob of picking 3 e?\n' | b'1/30\n' | b'Three letters picked without replacement from {e: 4, m: 2, a: 2, x: 2}. What is prob of picking 3 e?\n' | b'1/30\n' | deepmind/math_dataset |
b'Calculate prob of sequence yu when two letters picked without replacement from {u: 1, y: 2}.\n' | b'1/3\n' | b'Calculate prob of sequence yu when two letters picked without replacement from {u: 1, y: 2}.\n' | b'1/3\n' | deepmind/math_dataset |
b'Let n be (1 + 0 + 0)*0. Let y = n - -7. Solve -4*k - y = 5*x + 12, -k + 2*x + 5 = 0 for k.\n' | b'-1\n' | b'Let n be (1 + 0 + 0)*0. Let y = n - -7. Solve -4*k - y = 5*x + 12, -k + 2*x + 5 = 0 for k.\n' | b'-1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ccsxxscscsxcc. Give prob of sequence ssxc.\n' | b'9/715\n' | b'Four letters picked without replacement from ccsxxscscsxcc. Give prob of sequence ssxc.\n' | b'9/715\n' | deepmind/math_dataset |
b'Simplify (f*((f*f**(-2/7))/f)/f)**(-19/5)*f**11*f**(-2/17)/f assuming f is positive.\n' | b'f**(6526/595)\n' | b'Simplify (f*((f*f**(-2/7))/f)/f)**(-19/5)*f**11*f**(-2/17)/f assuming f is positive.\n' | b'f**(6526/595)\n' | deepmind/math_dataset |
b'Let z(g) be the first derivative of -2*g**2 + 29*g - 1072. Calculate z(9).\n' | b'-7\n' | b'Let z(g) be the first derivative of -2*g**2 + 29*g - 1072. Calculate z(9).\n' | b'-7\n' | deepmind/math_dataset |
b'Calculate prob of sequence yt when two letters picked without replacement from {t: 3, y: 3, r: 5}.\n' | b'9/110\n' | b'Calculate prob of sequence yt when two letters picked without replacement from {t: 3, y: 3, r: 5}.\n' | b'9/110\n' | deepmind/math_dataset |
b'Suppose 4*a = -a + 85. What is the second derivative of -a + 7 + 46*l**3 + 11*l**3 + 5 + 2*l wrt l?\n' | b'342*l\n' | b'Suppose 4*a = -a + 85. What is the second derivative of -a + 7 + 46*l**3 + 11*l**3 + 5 + 2*l wrt l?\n' | b'342*l\n' | deepmind/math_dataset |
b'Simplify (v**(-1/3))**1/(v*v/(v/v**3))**(17/5) assuming v is positive.\n' | b'v**(-209/15)\n' | b'Simplify (v**(-1/3))**1/(v*v/(v/v**3))**(17/5) assuming v is positive.\n' | b'v**(-209/15)\n' | deepmind/math_dataset |
b'Let m(a) be the third derivative of 11*a**8/112 + 7*a**5/30 + 4*a**2. What is the third derivative of m(k) wrt k?\n' | b'1980*k**2\n' | b'Let m(a) be the third derivative of 11*a**8/112 + 7*a**5/30 + 4*a**2. What is the third derivative of m(k) wrt k?\n' | b'1980*k**2\n' | deepmind/math_dataset |
b'Simplify (p*p**(-2/47)*p**(-6/13)*p)**(1/2) assuming p is positive.\n' | b'p**(457/611)\n' | b'Simplify (p*p**(-2/47)*p**(-6/13)*p)**(1/2) assuming p is positive.\n' | b'p**(457/611)\n' | deepmind/math_dataset |
b'Let h = -1 - -8. Let r = 12 - h. Suppose -d + l + 3 = -5, -5*d - 4*l - 5 = 0. Solve -g = 3*j - 5, 0*j = -d*j - r*g + 25 for j.\n' | b'0\n' | b'Let h = -1 - -8. Let r = 12 - h. Suppose -d + l + 3 = -5, -5*d - 4*l - 5 = 0. Solve -g = 3*j - 5, 0*j = -d*j - r*g + 25 for j.\n' | b'0\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {d: 1, j: 1, e: 1, i: 1, u: 1}. Give prob of sequence id.\n' | b'1/20\n' | b'Two letters picked without replacement from {d: 1, j: 1, e: 1, i: 1, u: 1}. Give prob of sequence id.\n' | b'1/20\n' | deepmind/math_dataset |
b'Calculate prob of sequence mqp when three letters picked without replacement from mdqpumudpusduddddp.\n' | b'1/816\n' | b'Calculate prob of sequence mqp when three letters picked without replacement from mdqpumudpusduddddp.\n' | b'1/816\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 w when two letters picked without replacement from {l: 1, t: 1, w: 1, m: 2, r: 1, f: 1}.\n' | b'0\n' | b'Calculate prob of picking 2 w when two letters picked without replacement from {l: 1, t: 1, w: 1, m: 2, r: 1, f: 1}.\n' | b'0\n' | deepmind/math_dataset |
b'Suppose -79 = -9*t - 34. Let f(n) = -n**3 + 2*n**2 + 8*n. Let s be f(4). Solve p + 2*b = -s*p - 7, -p - t*b = 13 for p.\n' | b'-3\n' | b'Suppose -79 = -9*t - 34. Let f(n) = -n**3 + 2*n**2 + 8*n. Let s be f(4). Solve p + 2*b = -s*p - 7, -p - t*b = 13 for p.\n' | b'-3\n' | deepmind/math_dataset |
b'Let r(g) be the first derivative of g**8/420 + g**4/8 + 8*g**3/3 - 1. Let m(f) be the third derivative of r(f). What is the derivative of m(s) wrt s?\n' | b'16*s**3\n' | b'Let r(g) be the first derivative of g**8/420 + g**4/8 + 8*g**3/3 - 1. Let m(f) be the third derivative of r(f). What is the derivative of m(s) wrt s?\n' | b'16*s**3\n' | deepmind/math_dataset |
b'Let t be (-45)/(-4) - 1/4. Let x = -11 + 16. Solve -5*i + i - 5*j = -t, 3*j + 23 = x*i for i.\n' | b'4\n' | b'Let t be (-45)/(-4) - 1/4. Let x = -11 + 16. Solve -5*i + i - 5*j = -t, 3*j + 23 = x*i for i.\n' | b'4\n' | deepmind/math_dataset |
b'Let c(m) = m**2 + 4*m - 7. Let j be 1/((-4)/48*2). Let w be c(j). Solve t + 8 - 3 = -4*s, -w*s - 3*t - 1 = 0 for s.\n' | b'-2\n' | b'Let c(m) = m**2 + 4*m - 7. Let j be 1/((-4)/48*2). Let w be c(j). Solve t + 8 - 3 = -4*s, -w*s - 3*t - 1 = 0 for s.\n' | b'-2\n' | deepmind/math_dataset |
b'Let g(c) be the third derivative of c**8/1680 + c**6/120 - c**3/3 + 3*c**2. Let q(l) be the first derivative of g(l). Find the third derivative of q(m) wrt m.\n' | b'24*m\n' | b'Let g(c) be the third derivative of c**8/1680 + c**6/120 - c**3/3 + 3*c**2. Let q(l) be the first derivative of g(l). Find the third derivative of q(m) wrt m.\n' | b'24*m\n' | deepmind/math_dataset |
b'Simplify ((l**2/l)/(l*(l**5*l)/l))**(-1/15)*l**4*l**(-2/5)*(l**0)**(-42) assuming l is positive.\n' | b'l**(59/15)\n' | b'Simplify ((l**2/l)/(l*(l**5*l)/l))**(-1/15)*l**4*l**(-2/5)*(l**0)**(-42) assuming l is positive.\n' | b'l**(59/15)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from nndddddddnndnddd. Give prob of picking 1 n and 2 d.\n' | b'55/112\n' | b'Three letters picked without replacement from nndddddddnndnddd. Give prob of picking 1 n and 2 d.\n' | b'55/112\n' | deepmind/math_dataset |
b'Simplify ((o**26/o)/o)/o**(-24)*(o*o/(o**(-6)*o))**(-32) assuming o is positive.\n' | b'o**(-176)\n' | b'Simplify ((o**26/o)/o)/o**(-24)*(o*o/(o**(-6)*o))**(-32) assuming o is positive.\n' | b'o**(-176)\n' | deepmind/math_dataset |
b'Let x(b) be the first derivative of 21*b**2/2 - 3*b - 16. Let q(s) = -1. Let d(w) = 2*q(w) - x(w). Determine d(-1).\n' | b'22\n' | b'Let x(b) be the first derivative of 21*b**2/2 - 3*b - 16. Let q(s) = -1. Let d(w) = 2*q(w) - x(w). Determine d(-1).\n' | b'22\n' | deepmind/math_dataset |
b'Let v(n) = -8*n + 0*n**2 + n**2 + 3 + 6. Suppose 2*m + 3*y = 15, -5*m - 8 = y - 39. Give v(m).\n' | b'-3\n' | b'Let v(n) = -8*n + 0*n**2 + n**2 + 3 + 6. Suppose 2*m + 3*y = 15, -5*m - 8 = y - 39. Give v(m).\n' | b'-3\n' | deepmind/math_dataset |
b'Let o be 2 + (-2)/(-3)*-6. Let h = o - -6. Solve 0*u - 3*u + 2*n - 19 = 0, h*n = 4*u + 28 for u.\n' | b'-5\n' | b'Let o be 2 + (-2)/(-3)*-6. Let h = o - -6. Solve 0*u - 3*u + 2*n - 19 = 0, h*n = 4*u + 28 for u.\n' | b'-5\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {b: 5, t: 6, o: 1, p: 1, y: 1, m: 3}. Give prob of sequence tpt.\n' | b'1/136\n' | b'Three letters picked without replacement from {b: 5, t: 6, o: 1, p: 1, y: 1, m: 3}. Give prob of sequence tpt.\n' | b'1/136\n' | deepmind/math_dataset |
b'Let y = 11 + -3. Let v(j) be the first derivative of j**3/3 + j**2/2 - j - 8. Let g be v(2). Solve b - y = m - 3*m, -g*m + 15 = 0 for b.\n' | b'2\n' | b'Let y = 11 + -3. Let v(j) be the first derivative of j**3/3 + j**2/2 - j - 8. Let g be v(2). Solve b - y = m - 3*m, -g*m + 15 = 0 for b.\n' | b'2\n' | deepmind/math_dataset |
b'Let p(z) = -z**2 - 3*z - 3. Let b be p(-2). Let s be 1*b/(2/(-6)). Let t = -1 + 3. Solve 2*o + 5 + 1 = t*m, 0 = -5*m + s*o + 13 for m.\n' | b'2\n' | b'Let p(z) = -z**2 - 3*z - 3. Let b be p(-2). Let s be 1*b/(2/(-6)). Let t = -1 + 3. Solve 2*o + 5 + 1 = t*m, 0 = -5*m + s*o + 13 for m.\n' | b'2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {f: 4, c: 1, u: 4, h: 2, x: 6}. Give prob of sequence xuu.\n' | b'3/170\n' | b'Three letters picked without replacement from {f: 4, c: 1, u: 4, h: 2, x: 6}. Give prob of sequence xuu.\n' | b'3/170\n' | deepmind/math_dataset |
b'What is prob of sequence dddw when four letters picked without replacement from {d: 4, w: 1, n: 1, j: 3, m: 4, c: 5}?\n' | b'1/3060\n' | b'What is prob of sequence dddw when four letters picked without replacement from {d: 4, w: 1, n: 1, j: 3, m: 4, c: 5}?\n' | b'1/3060\n' | deepmind/math_dataset |
b'Suppose -114 = -5*l - 19. Suppose -l = -3*f - 2*b + 6, 4*b = 20. Let u(d) = d**3 - 5*d**2 - 6. What is u(f)?\n' | b'-6\n' | b'Suppose -114 = -5*l - 19. Suppose -l = -3*f - 2*b + 6, 4*b = 20. Let u(d) = d**3 - 5*d**2 - 6. What is u(f)?\n' | b'-6\n' | deepmind/math_dataset |
b'Let w(g) = -g - 1. Let v(i) = -i**2 - 13*i - 11. Let o be v(-12). Let q(r) = 9*r + 2. Let m(f) = o*q(f) + 4*w(f). What is the derivative of m(x) wrt x?\n' | b'5\n' | b'Let w(g) = -g - 1. Let v(i) = -i**2 - 13*i - 11. Let o be v(-12). Let q(r) = 9*r + 2. Let m(f) = o*q(f) + 4*w(f). What is the derivative of m(x) wrt x?\n' | b'5\n' | deepmind/math_dataset |
b'Let h(f) = -f**2 + f + 1. Let i = -240 + 236. Let k(w) = 5*w**2 - 6*w - 8. Let c(m) = i*h(m) - k(m). What is c(5)?\n' | b'-11\n' | b'Let h(f) = -f**2 + f + 1. Let i = -240 + 236. Let k(w) = 5*w**2 - 6*w - 8. Let c(m) = i*h(m) - k(m). What is c(5)?\n' | b'-11\n' | deepmind/math_dataset |
b'Let n be (-1 - -2) + 4 + -3. Let w be ((-2)/5)/(n/(-80)). Suppose -3*k + k = -w. Solve -i + 4*a = -5*i + k, -5*i + 10 = -3*a for i.\n' | b'2\n' | b'Let n be (-1 - -2) + 4 + -3. Let w be ((-2)/5)/(n/(-80)). Suppose -3*k + k = -w. Solve -i + 4*a = -5*i + k, -5*i + 10 = -3*a for i.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify (((m*(m/m**(-3/4)*m)/m*m)/m)**27)**17/((m**(1/2)/m*m*m)**(-12)/((m**2/m)/m)**11) assuming m is positive.\n' | b'm**(5121/4)\n' | b'Simplify (((m*(m/m**(-3/4)*m)/m*m)/m)**27)**17/((m**(1/2)/m*m*m)**(-12)/((m**2/m)/m)**11) assuming m is positive.\n' | b'm**(5121/4)\n' | deepmind/math_dataset |
b'Let s(q) be the third derivative of -103*q**7/35 - 764*q**3/3 - 950*q**2. What is the first derivative of s(w) wrt w?\n' | b'-2472*w**3\n' | b'Let s(q) be the third derivative of -103*q**7/35 - 764*q**3/3 - 950*q**2. What is the first derivative of s(w) wrt w?\n' | b'-2472*w**3\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 t and 1 o when two letters picked without replacement from altoolaattt.\n' | b'8/55\n' | b'Calculate prob of picking 1 t and 1 o when two letters picked without replacement from altoolaattt.\n' | b'8/55\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 y and 1 j when four letters picked without replacement from {j: 4, y: 14}.\n' | b'364/765\n' | b'Calculate prob of picking 3 y and 1 j when four letters picked without replacement from {j: 4, y: 14}.\n' | b'364/765\n' | deepmind/math_dataset |
b'Let b(d) be the third derivative of 1/20*d**5 - 1/24*d**6 - 29*d**2 + 0*d**3 + d - 25/24*d**4 + 0. What is the second derivative of b(k) wrt k?\n' | b'-30*k + 6\n' | b'Let b(d) be the third derivative of 1/20*d**5 - 1/24*d**6 - 29*d**2 + 0*d**3 + d - 25/24*d**4 + 0. What is the second derivative of b(k) wrt k?\n' | b'-30*k + 6\n' | deepmind/math_dataset |
b'Simplify (((((b*b/(b*b**(-8)*b))/b)/b)/b)/b)/(b**4*b)*(b/((b/b**(-4))/b))**(-8) assuming b is positive.\n' | b'b**23\n' | b'Simplify (((((b*b/(b*b**(-8)*b))/b)/b)/b)/b)/(b**4*b)*(b/((b/b**(-4))/b))**(-8) assuming b is positive.\n' | b'b**23\n' | deepmind/math_dataset |
b'Suppose t = -t. Suppose -3*v + 5 + 7 = t. Solve -4*y + 4*q = -v, 2*y - 2 = -q - 3*q for y.\n' | b'1\n' | b'Suppose t = -t. Suppose -3*v + 5 + 7 = t. Solve -4*y + 4*q = -v, 2*y - 2 = -q - 3*q for y.\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of sequence hiip when four letters picked without replacement from hehhihihhirhp?\n' | b'7/2860\n' | b'What is prob of sequence hiip when four letters picked without replacement from hehhihihhirhp?\n' | b'7/2860\n' | deepmind/math_dataset |
b'Two letters picked without replacement from fwfwbfwbwwf. Give prob of sequence bf.\n' | b'4/55\n' | b'Two letters picked without replacement from fwfwbfwbwwf. Give prob of sequence bf.\n' | b'4/55\n' | deepmind/math_dataset |
b'Two letters picked without replacement from fiifqffffzqqfqfiifif. Give prob of picking 2 q.\n' | b'3/95\n' | b'Two letters picked without replacement from fiifqffffzqqfqfiifif. Give prob of picking 2 q.\n' | b'3/95\n' | deepmind/math_dataset |
b'Two letters picked without replacement from tamiaatataiiaaritait. Give prob of sequence mi.\n' | b'1/76\n' | b'Two letters picked without replacement from tamiaatataiiaaritait. Give prob of sequence mi.\n' | b'1/76\n' | deepmind/math_dataset |
b'Simplify ((d**(1/12)/d*d)/(d**(-2)*d))**(-2/63)/(d/d**2*d*d/d**(-2/7)*d)**(-50) assuming d is positive.\n' | b'd**(43187/378)\n' | b'Simplify ((d**(1/12)/d*d)/(d**(-2)*d))**(-2/63)/(d/d**2*d*d/d**(-2/7)*d)**(-50) assuming d is positive.\n' | b'd**(43187/378)\n' | deepmind/math_dataset |
b'Let i(n) = -n**3 + 4*n**2 - n - 1. Let v be (6/(-5))/(81/1080). Let c be (-56)/v - ((-1)/(-2) - 0). Calculate i(c).\n' | b'5\n' | b'Let i(n) = -n**3 + 4*n**2 - n - 1. Let v be (6/(-5))/(81/1080). Let c be (-56)/v - ((-1)/(-2) - 0). Calculate i(c).\n' | b'5\n' | deepmind/math_dataset |
b'Let i(k) = k**3 + 15*k**2 + 6*k - 2. Let a(z) = -114*z - 1953. Let s be a(-17). Calculate i(s).\n' | b'-92\n' | b'Let i(k) = k**3 + 15*k**2 + 6*k - 2. Let a(z) = -114*z - 1953. Let s be a(-17). Calculate i(s).\n' | b'-92\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 n and 1 w when two letters picked without replacement from wwndtwnnddwtwtdwdd.\n' | b'2/17\n' | b'Calculate prob of picking 1 n and 1 w when two letters picked without replacement from wwndtwnnddwtwtdwdd.\n' | b'2/17\n' | deepmind/math_dataset |
b'Let s(k) = 3*k - k + 2*k - 3*k - 8. Let g be s(5). Let n(w) = w**2 - 2*w**2 - 2 - 2. Determine n(g).\n' | b'-13\n' | b'Let s(k) = 3*k - k + 2*k - 3*k - 8. Let g be s(5). Let n(w) = w**2 - 2*w**2 - 2 - 2. Determine n(g).\n' | b'-13\n' | deepmind/math_dataset |
b'What is prob of sequence yybl when four letters picked without replacement from {s: 1, y: 2, b: 1, w: 1, l: 2, h: 2}?\n' | b'1/756\n' | b'What is prob of sequence yybl when four letters picked without replacement from {s: 1, y: 2, b: 1, w: 1, l: 2, h: 2}?\n' | b'1/756\n' | deepmind/math_dataset |
b'Suppose 0 = 5*q + 4 - 29. Suppose -q*l + 132 + 2 = -3*z, -4*l + 106 = -2*z. Suppose -16*c + 11*c = -l. Solve -b + 2*b = -2*t + 3, -t = c*b - 15 for t.\n' | b'0\n' | b'Suppose 0 = 5*q + 4 - 29. Suppose -q*l + 132 + 2 = -3*z, -4*l + 106 = -2*z. Suppose -16*c + 11*c = -l. Solve -b + 2*b = -2*t + 3, -t = c*b - 15 for t.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify (y/(y/y**31))/(y/((y*y**(5/14)*y)/y))*y**(-1/11)/(y/(y/((y/(y**(6/11)/y)*y*y)/y)*y)) assuming y is positive.\n' | b'y**(4591/154)\n' | b'Simplify (y/(y/y**31))/(y/((y*y**(5/14)*y)/y))*y**(-1/11)/(y/(y/((y/(y**(6/11)/y)*y*y)/y)*y)) assuming y is positive.\n' | b'y**(4591/154)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 e and 1 v when two letters picked without replacement from {j: 1, v: 1, a: 1, q: 2, e: 2}.\n' | b'2/21\n' | b'Calculate prob of picking 1 e and 1 v when two letters picked without replacement from {j: 1, v: 1, a: 1, q: 2, e: 2}.\n' | b'2/21\n' | deepmind/math_dataset |
b'Suppose 10*b = -0*b - 60. Suppose 0 = -3*l, 40 = 3*i + i - 5*l. Let k = b + i. Solve -4*m + 3*g = -0*g + 19, 0 = -k*m - 3*g + 11 for m.\n' | b'-1\n' | b'Suppose 10*b = -0*b - 60. Suppose 0 = -3*l, 40 = 3*i + i - 5*l. Let k = b + i. Solve -4*m + 3*g = -0*g + 19, 0 = -k*m - 3*g + 11 for m.\n' | b'-1\n' | deepmind/math_dataset |
b'What is prob of sequence cjel when four letters picked without replacement from {c: 2, e: 2, i: 2, m: 4, j: 1, l: 1}?\n' | b'1/2970\n' | b'What is prob of sequence cjel when four letters picked without replacement from {c: 2, e: 2, i: 2, m: 4, j: 1, l: 1}?\n' | b'1/2970\n' | deepmind/math_dataset |
b'Let m(b) = 2*b + 10 - 7*b + 4*b. Let r be m(8). Let k(u) = -3*u - 2*u - 2 - r*u + u**2 - 4. What is k(7)?\n' | b'-6\n' | b'Let m(b) = 2*b + 10 - 7*b + 4*b. Let r be m(8). Let k(u) = -3*u - 2*u - 2 - r*u + u**2 - 4. What is k(7)?\n' | b'-6\n' | deepmind/math_dataset |
b'Let a(p) = -p + 7. Let o be a(5). Find the second derivative of -3 - o*v + 3 + 4*v**2 wrt v.\n' | b'8\n' | b'Let a(p) = -p + 7. Let o be a(5). Find the second derivative of -3 - o*v + 3 + 4*v**2 wrt v.\n' | b'8\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 e and 1 b when two letters picked without replacement from {k: 1, u: 1, v: 1, b: 2, h: 1, e: 1}.\n' | b'2/21\n' | b'Calculate prob of picking 1 e and 1 b when two letters picked without replacement from {k: 1, u: 1, v: 1, b: 2, h: 1, e: 1}.\n' | b'2/21\n' | deepmind/math_dataset |
b'Let p(d) = -d**3 + 11*d**2 - 26*d + 15. Let x be p(6). Let z(q) = -q - 4. Let v(g) = 7*g + 24. Let k(a) = x*z(a) + 6*v(a). Give k(7).\n' | b'9\n' | b'Let p(d) = -d**3 + 11*d**2 - 26*d + 15. Let x be p(6). Let z(q) = -q - 4. Let v(g) = 7*g + 24. Let k(a) = x*z(a) + 6*v(a). Give k(7).\n' | b'9\n' | deepmind/math_dataset |
b'Three letters picked without replacement from cvvvcvccyydcyyd. Give prob of picking 1 c and 2 v.\n' | b'6/91\n' | b'Three letters picked without replacement from cvvvcvccyydcyyd. Give prob of picking 1 c and 2 v.\n' | b'6/91\n' | deepmind/math_dataset |
b'What is prob of sequence gko when three letters picked without replacement from xtgtogk?\n' | b'1/105\n' | b'What is prob of sequence gko when three letters picked without replacement from xtgtogk?\n' | b'1/105\n' | deepmind/math_dataset |
b'Let t(v) = -v + 1 + 4*v - v**3 - 5*v + 2 + 4*v**2. Let x = -2 - -4. Give t(x).\n' | b'7\n' | b'Let t(v) = -v + 1 + 4*v - v**3 - 5*v + 2 + 4*v**2. Let x = -2 - -4. Give t(x).\n' | b'7\n' | deepmind/math_dataset |
b'Suppose 5*f - g = -0*f + 14, 2*f = 2*g + 12. Let d = -5 + 8. Suppose 9 = d*r - 0. Solve -4*x - 3*h + r = 0, -f*h - 3*h = x - 22 for x.\n' | b'-3\n' | b'Suppose 5*f - g = -0*f + 14, 2*f = 2*g + 12. Let d = -5 + 8. Suppose 9 = d*r - 0. Solve -4*x - 3*h + r = 0, -f*h - 3*h = x - 22 for x.\n' | b'-3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {d: 1, y: 11, r: 1, k: 2, b: 1}. What is prob of picking 1 r and 2 y?\n' | b'11/112\n' | b'Three letters picked without replacement from {d: 1, y: 11, r: 1, k: 2, b: 1}. What is prob of picking 1 r and 2 y?\n' | b'11/112\n' | deepmind/math_dataset |
b'Let h be (-2)/4 + (15/6 - 2). Let w(l) = -2*l - 7. Let j be w(-6). Let i = h - j. Let b(s) = s**3 + 5*s**2 + 2*s + 2. What is b(i)?\n' | b'-8\n' | b'Let h be (-2)/4 + (15/6 - 2). Let w(l) = -2*l - 7. Let j be w(-6). Let i = h - j. Let b(s) = s**3 + 5*s**2 + 2*s + 2. What is b(i)?\n' | b'-8\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {g: 2, k: 10, c: 6}. What is prob of sequence kccg?\n' | b'5/612\n' | b'Four letters picked without replacement from {g: 2, k: 10, c: 6}. What is prob of sequence kccg?\n' | b'5/612\n' | deepmind/math_dataset |
b'Let k(n) = 75*n. Let s(q) = 449*q - 10. Let j(d) = -6*k(d) + s(d). What is j(-6)?\n' | b'-4\n' | b'Let k(n) = 75*n. Let s(q) = 449*q - 10. Let j(d) = -6*k(d) + s(d). What is j(-6)?\n' | b'-4\n' | deepmind/math_dataset |
b'Let q(b) = -b - 12. Let m(y) be the first derivative of y - 9. Let n(j) = 6*m(j) + q(j). Determine n(-8).\n' | b'2\n' | b'Let q(b) = -b - 12. Let m(y) be the first derivative of y - 9. Let n(j) = 6*m(j) + q(j). Determine n(-8).\n' | b'2\n' | deepmind/math_dataset |
b'Let q = 5 - -1. Let l be q/(-27) - 38/(-9). Solve -w + 2 = o, w + 4*o = l*w + 22 for w.\n' | b'-2\n' | b'Let q = 5 - -1. Let l be q/(-27) - 38/(-9). Solve -w + 2 = o, w + 4*o = l*w + 22 for w.\n' | b'-2\n' | deepmind/math_dataset |
b'Let u(w) = -2*w + 5. Suppose -2*n = 2*m + 20, 4*m = -n - 18 - 7. Calculate u(m).\n' | b'15\n' | b'Let u(w) = -2*w + 5. Suppose -2*n = 2*m + 20, 4*m = -n - 18 - 7. Calculate u(m).\n' | b'15\n' | deepmind/math_dataset |
b'Let o = -109 - -109. Solve -2*d = -4*a + 22, -4*d - 5*a + 21 + 0 = o for d.\n' | b'-1\n' | b'Let o = -109 - -109. Solve -2*d = -4*a + 22, -4*d - 5*a + 21 + 0 = o for d.\n' | b'-1\n' | deepmind/math_dataset |
b'Suppose -2*d + 6*d = 3*j - 59, 80 = 4*j - 4*d. Suppose 5*p + 4*w = 71 - 9, 3*w + j = 3*p. Solve -2*i - 2*k - 6 - p = 0, -2*k - 1 = -i for i.\n' | b'-5\n' | b'Suppose -2*d + 6*d = 3*j - 59, 80 = 4*j - 4*d. Suppose 5*p + 4*w = 71 - 9, 3*w + j = 3*p. Solve -2*i - 2*k - 6 - p = 0, -2*k - 1 = -i for i.\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose 3*a - 65 = -4*t, 0 = -3*t - 5*a - 2 + 48. Solve 3*o - b - t = 0, 4*o = 4*b + b + 41 for o.\n' | b'4\n' | b'Suppose 3*a - 65 = -4*t, 0 = -3*t - 5*a - 2 + 48. Solve 3*o - b - t = 0, 4*o = 4*b + b + 41 for o.\n' | b'4\n' | deepmind/math_dataset |
b'Let d(p) be the first derivative of 0*p - 3*p + 6*p + p**2 + 2. Differentiate d(v) with respect to v.\n' | b'2\n' | b'Let d(p) be the first derivative of 0*p - 3*p + 6*p + p**2 + 2. Differentiate d(v) with respect to v.\n' | b'2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {g: 13, q: 3}. Give prob of sequence gqgg.\n' | b'33/280\n' | b'Four letters picked without replacement from {g: 13, q: 3}. Give prob of sequence gqgg.\n' | b'33/280\n' | deepmind/math_dataset |
b'Simplify (p/(p*((p**(2/11)*p*p)/p)/p)*p*p**14)/((p**(-37)/p*p*p*p)/p**(2/97)) assuming p is positive.\n' | b'p**(53178/1067)\n' | b'Simplify (p/(p*((p**(2/11)*p*p)/p)/p)*p*p**14)/((p**(-37)/p*p*p*p)/p**(2/97)) assuming p is positive.\n' | b'p**(53178/1067)\n' | deepmind/math_dataset |
b'Simplify (((v/(v/v**(-15)))/v**(4/9))**(-2/3))**(1/19) assuming v is positive.\n' | b'v**(278/513)\n' | b'Simplify (((v/(v/v**(-15)))/v**(4/9))**(-2/3))**(1/19) assuming v is positive.\n' | b'v**(278/513)\n' | deepmind/math_dataset |
b'Simplify (k**2)**(-16)/(k**(-1/5)/(k**(1/26)*k)) assuming k is positive.\n' | b'k**(-3999/130)\n' | b'Simplify (k**2)**(-16)/(k**(-1/5)/(k**(1/26)*k)) assuming k is positive.\n' | b'k**(-3999/130)\n' | deepmind/math_dataset |
b'Suppose 5*p - 17 = -2*x, -5*x - 7 = -2*p - 6*x. Solve p*w = 8*a - 4*a + 4, w + 2*a = -2 for w.\n' | b'0\n' | b'Suppose 5*p - 17 = -2*x, -5*x - 7 = -2*p - 6*x. Solve p*w = 8*a - 4*a + 4, w + 2*a = -2 for w.\n' | b'0\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {n: 5, d: 3, g: 2}. Give prob of picking 2 n.\n' | b'2/9\n' | b'Two letters picked without replacement from {n: 5, d: 3, g: 2}. Give prob of picking 2 n.\n' | b'2/9\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {n: 3, j: 3, z: 1, l: 5, p: 3}. What is prob of picking 1 n and 1 l?\n' | b'1/7\n' | b'Two letters picked without replacement from {n: 3, j: 3, z: 1, l: 5, p: 3}. What is prob of picking 1 n and 1 l?\n' | b'1/7\n' | deepmind/math_dataset |
b'Simplify ((d**(-8/5)*d)/(d/d**(4/5))*(d*d**9/d)/((d/(d*d**(-20)))/d))**(-20/7) assuming d is positive.\n' | b'd**(216/7)\n' | b'Simplify ((d**(-8/5)*d)/(d/d**(4/5))*(d*d**9/d)/((d/(d*d**(-20)))/d))**(-20/7) assuming d is positive.\n' | b'd**(216/7)\n' | deepmind/math_dataset |
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