question stringlengths 40 165 | answer stringlengths 6 35 | instruction_seed stringlengths 40 165 | response_seed stringlengths 6 35 | _source stringclasses 1
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b'Let h(q) = 2*q**2 - 16*q + 2. Let n be h(8). Solve 0 = -3*k - 3*l + 4 - 28, -n*l + 8 = -4*k for k.\n' | b'-4\n' | b'Let h(q) = 2*q**2 - 16*q + 2. Let n be h(8). Solve 0 = -3*k - 3*l + 4 - 28, -n*l + 8 = -4*k for k.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify (z/z**2)**(-2/165)/(z**(-1/4)/((z/z**7*z)/z)) assuming z is positive.\n' | b'z**(-3787/660)\n' | b'Simplify (z/z**2)**(-2/165)/(z**(-1/4)/((z/z**7*z)/z)) assuming z is positive.\n' | b'z**(-3787/660)\n' | deepmind/math_dataset |
b'Find the second derivative of -t + 21*t**2 - 3128 + t**2 + 19*t**2 + 3069 wrt t.\n' | b'82\n' | b'Find the second derivative of -t + 21*t**2 - 3128 + t**2 + 19*t**2 + 3069 wrt t.\n' | b'82\n' | deepmind/math_dataset |
b'Two letters picked without replacement from wpllpeewlepee. Give prob of sequence wp.\n' | b'1/26\n' | b'Two letters picked without replacement from wpllpeewlepee. Give prob of sequence wp.\n' | b'1/26\n' | deepmind/math_dataset |
b'Suppose -17 = 2*w - 4*q - 1, 5*w - 25 = -3*q. Suppose 5*h = w*u + 2*h - 3, -3*h + 15 = 4*u. Suppose o + 8 = -u*o. Let d(g) = 2*g**2 - g - 1. Give d(o).\n' | b'9\n' | b'Suppose -17 = 2*w - 4*q - 1, 5*w - 25 = -3*q. Suppose 5*h = w*u + 2*h - 3, -3*h + 15 = 4*u. Suppose o + 8 = -u*o. Let d(g) = 2*g**2 - g - 1. Give d(o).\n' | b'9\n' | deepmind/math_dataset |
b'Simplify ((y/(y**(-10)*y)*y)**(-43)/(y**(-7/3)*(y/y**16)/y))**40 assuming y is positive.\n' | b'y**(-54560/3)\n' | b'Simplify ((y/(y**(-10)*y)*y)**(-43)/(y**(-7/3)*(y/y**16)/y))**40 assuming y is positive.\n' | b'y**(-54560/3)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ohhooopohhhhohoho. Give prob of sequence hpo.\n' | b'4/255\n' | b'Three letters picked without replacement from ohhooopohhhhohoho. Give prob of sequence hpo.\n' | b'4/255\n' | deepmind/math_dataset |
b'Suppose 2*f + 22 = 5*l, -3*l + 4*f + 17 = 1. Suppose 44 = 5*r + 6*r. Find the second derivative of 0*q - 2*q**4 + 2*q**l - r*q + 4*q**4 wrt q.\n' | b'48*q**2\n' | b'Suppose 2*f + 22 = 5*l, -3*l + 4*f + 17 = 1. Suppose 44 = 5*r + 6*r. Find the second derivative of 0*q - 2*q**4 + 2*q**l - r*q + 4*q**4 wrt q.\n' | b'48*q**2\n' | deepmind/math_dataset |
b'Let x(u) be the third derivative of -3*u**8/560 + u**5/30 - u**3/2 + 2*u**2. Let p(z) be the first derivative of x(z). Find the second derivative of p(r) wrt r.\n' | b'-108*r**2\n' | b'Let x(u) be the third derivative of -3*u**8/560 + u**5/30 - u**3/2 + 2*u**2. Let p(z) be the first derivative of x(z). Find the second derivative of p(r) wrt r.\n' | b'-108*r**2\n' | deepmind/math_dataset |
b'What is the third derivative of 7255*u**3 + 1985*u**2 - 4592*u**3 + 809*u**2 wrt u?\n' | b'15978\n' | b'What is the third derivative of 7255*u**3 + 1985*u**2 - 4592*u**3 + 809*u**2 wrt u?\n' | b'15978\n' | deepmind/math_dataset |
b'Let s(p) = 5*p**2 + 6*p - 1. Let w be s(-6). Find the second derivative of -2 - 8*z**5 + 143*z**3 + z - w*z**3 wrt z.\n' | b'-160*z**3\n' | b'Let s(p) = 5*p**2 + 6*p - 1. Let w be s(-6). Find the second derivative of -2 - 8*z**5 + 143*z**3 + z - w*z**3 wrt z.\n' | b'-160*z**3\n' | deepmind/math_dataset |
b'Let g(r) = -4*r**2 - 2*r. Let j(p) = 5*p**2 + 3*p. Let v(s) = -6*g(s) - 5*j(s). Let c be v(-2). What is the third derivative of 3*t**6 - 8 + 8 - 4*t**c wrt t?\n' | b'360*t**3\n' | b'Let g(r) = -4*r**2 - 2*r. Let j(p) = 5*p**2 + 3*p. Let v(s) = -6*g(s) - 5*j(s). Let c be v(-2). What is the third derivative of 3*t**6 - 8 + 8 - 4*t**c wrt t?\n' | b'360*t**3\n' | deepmind/math_dataset |
b'Calculate prob of sequence au when two letters picked without replacement from {a: 1, i: 1, n: 1, u: 1, f: 1}.\n' | b'1/20\n' | b'Calculate prob of sequence au when two letters picked without replacement from {a: 1, i: 1, n: 1, u: 1, f: 1}.\n' | b'1/20\n' | deepmind/math_dataset |
b'Two letters picked without replacement from hexem. Give prob of picking 1 e and 1 m.\n' | b'1/5\n' | b'Two letters picked without replacement from hexem. Give prob of picking 1 e and 1 m.\n' | b'1/5\n' | deepmind/math_dataset |
b'Let p be (-7)/2*220/(-385). Let a(c) = 4*c - c**p + 2*c**2 - 25 + 14 + 7. What is a(-4)?\n' | b'-4\n' | b'Let p be (-7)/2*220/(-385). Let a(c) = 4*c - c**p + 2*c**2 - 25 + 14 + 7. What is a(-4)?\n' | b'-4\n' | deepmind/math_dataset |
b'Let d(j) = 1 - 2*j**3 - j + 0*j**3 - 2. Let f be (-5)/3*(-66)/(-55). Determine d(f).\n' | b'17\n' | b'Let d(j) = 1 - 2*j**3 - j + 0*j**3 - 2. Let f be (-5)/3*(-66)/(-55). Determine d(f).\n' | b'17\n' | deepmind/math_dataset |
b'Let z = 5 - 1. Suppose -z*w + 11 + 5 = 0. Suppose 2 = w*r - 5*a, -r - a + 11 = 3*a. Solve 3*b + 4*k = -1 - 0, 0 = -r*b + 5*k + 35 for b.\n' | b'5\n' | b'Let z = 5 - 1. Suppose -z*w + 11 + 5 = 0. Suppose 2 = w*r - 5*a, -r - a + 11 = 3*a. Solve 3*b + 4*k = -1 - 0, 0 = -r*b + 5*k + 35 for b.\n' | b'5\n' | deepmind/math_dataset |
b'What is prob of sequence rao when three letters picked without replacement from roara?\n' | b'1/15\n' | b'What is prob of sequence rao when three letters picked without replacement from roara?\n' | b'1/15\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {a: 1, e: 4, q: 3}. What is prob of picking 2 e, 1 a, and 1 q?\n' | b'9/35\n' | b'Four letters picked without replacement from {a: 1, e: 4, q: 3}. What is prob of picking 2 e, 1 a, and 1 q?\n' | b'9/35\n' | deepmind/math_dataset |
b'Simplify (i/i**(-5/3))/((((i*i*i**20)/i)/i*i)/i)*i**(8/7)/i*i/i**(3/10)*i assuming i is positive.\n' | b'i**(-3253/210)\n' | b'Simplify (i/i**(-5/3))/((((i*i*i**20)/i)/i*i)/i)*i**(8/7)/i*i/i**(3/10)*i assuming i is positive.\n' | b'i**(-3253/210)\n' | deepmind/math_dataset |
b'Let w(k) be the first derivative of 6 + 0*k**2 + 2*k - 2/3*k**3. What is the derivative of w(m) wrt m?\n' | b'-4*m\n' | b'Let w(k) be the first derivative of 6 + 0*k**2 + 2*k - 2/3*k**3. What is the derivative of w(m) wrt m?\n' | b'-4*m\n' | deepmind/math_dataset |
b'Four letters picked without replacement from jnguiiguguuuggjggj. Give prob of sequence uuni.\n' | b'1/1836\n' | b'Four letters picked without replacement from jnguiiguguuuggjggj. Give prob of sequence uuni.\n' | b'1/1836\n' | deepmind/math_dataset |
b'Simplify (s**(2/7))**(15/4)*(s/s**(-3/10)*s*s*s)/(s*s*s**(-9)) assuming s is positive.\n' | b's**(433/35)\n' | b'Simplify (s**(2/7))**(15/4)*(s/s**(-3/10)*s*s*s)/(s*s*s**(-9)) assuming s is positive.\n' | b's**(433/35)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {x: 4, n: 2, q: 3, u: 1, j: 4}. What is prob of sequence uqq?\n' | b'1/364\n' | b'Three letters picked without replacement from {x: 4, n: 2, q: 3, u: 1, j: 4}. What is prob of sequence uqq?\n' | b'1/364\n' | deepmind/math_dataset |
b'Simplify ((i**(-5/4)*i)/i**(-3))/(i**(-3))**(6/11) assuming i is positive.\n' | b'i**(193/44)\n' | b'Simplify ((i**(-5/4)*i)/i**(-3))/(i**(-3))**(6/11) assuming i is positive.\n' | b'i**(193/44)\n' | deepmind/math_dataset |
b'Simplify (a/(a/(a*(a*a*a/((a/(a**(2/13)/a))/a)*a)/a*a)*a*a))**(-43)/(a**9)**22 assuming a is positive.\n' | b'a**(-3778/13)\n' | b'Simplify (a/(a/(a*(a*a*a/((a/(a**(2/13)/a))/a)*a)/a*a)*a*a))**(-43)/(a**9)**22 assuming a is positive.\n' | b'a**(-3778/13)\n' | deepmind/math_dataset |
b'Suppose -10*i - 11191 = -64941. What is the derivative of -i*l + 31 - 188*l**3 + 179 + 5375*l wrt l?\n' | b'-564*l**2\n' | b'Suppose -10*i - 11191 = -64941. What is the derivative of -i*l + 31 - 188*l**3 + 179 + 5375*l wrt l?\n' | b'-564*l**2\n' | deepmind/math_dataset |
b'Simplify y**(1/12)/y**10*(y**6/y*y)/y**5 assuming y is positive.\n' | b'y**(-107/12)\n' | b'Simplify y**(1/12)/y**10*(y**6/y*y)/y**5 assuming y is positive.\n' | b'y**(-107/12)\n' | deepmind/math_dataset |
b'Let v(p) = p**3 + 2*p + 2. Let y(t) = -t**3 - 6*t**2 - 2*t - 8. Let q be y(-6). Suppose q*g - 31 = 3*i - 4, 3*i = 9. Let c = g + -11. Determine v(c).\n' | b'-10\n' | b'Let v(p) = p**3 + 2*p + 2. Let y(t) = -t**3 - 6*t**2 - 2*t - 8. Let q be y(-6). Suppose q*g - 31 = 3*i - 4, 3*i = 9. Let c = g + -11. Determine v(c).\n' | b'-10\n' | deepmind/math_dataset |
b'Let r(h) = -h**3 - h**2 + 4*h - 1. Let f = -88 - -85. Calculate r(f).\n' | b'5\n' | b'Let r(h) = -h**3 - h**2 + 4*h - 1. Let f = -88 - -85. Calculate r(f).\n' | b'5\n' | deepmind/math_dataset |
b'Suppose 4*t = 59 + 41. Let m = 20 - -2. Suppose -5*b = w - 9, 5*w + b = -b + 22. Solve g = 4*j + m - w, -5*j = t for g.\n' | b'-2\n' | b'Suppose 4*t = 59 + 41. Let m = 20 - -2. Suppose -5*b = w - 9, 5*w + b = -b + 22. Solve g = 4*j + m - w, -5*j = t for g.\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify (((u*u**(1/10)/u)/(u*u*u**(-4)))/((u/(u/(u**3*u)))/(u*(u/u**(-2/11))/u)))**(-4/25) assuming u is positive.\n' | b'u**(158/1375)\n' | b'Simplify (((u*u**(1/10)/u)/(u*u*u**(-4)))/((u/(u/(u**3*u)))/(u*(u/u**(-2/11))/u)))**(-4/25) assuming u is positive.\n' | b'u**(158/1375)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {a: 2, b: 1, c: 2, g: 1, z: 1, f: 1}. Give prob of sequence ggc.\n' | b'0\n' | b'Three letters picked without replacement from {a: 2, b: 1, c: 2, g: 1, z: 1, f: 1}. Give prob of sequence ggc.\n' | b'0\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 w and 2 s when three letters picked without replacement from {h: 4, z: 3, l: 4, s: 7, w: 1}.\n' | b'7/323\n' | b'Calculate prob of picking 1 w and 2 s when three letters picked without replacement from {h: 4, z: 3, l: 4, s: 7, w: 1}.\n' | b'7/323\n' | deepmind/math_dataset |
b'Let o(d) = d**3 - 4*d**2 + 8*d - 7. Let g be o(4). Solve 0 = 3*y + b + 10, 2*y + g = -y + 2*b for y.\n' | b'-5\n' | b'Let o(d) = d**3 - 4*d**2 + 8*d - 7. Let g be o(4). Solve 0 = 3*y + b + 10, 2*y + g = -y + 2*b for y.\n' | b'-5\n' | deepmind/math_dataset |
b'Let w(b) = b**3 + b - 1. Let o = -15 - -21. Let z(r) = 5*r**3 - 7*r**2 - 11. Let t(y) = o*w(y) - z(y). What is t(-6)?\n' | b'5\n' | b'Let w(b) = b**3 + b - 1. Let o = -15 - -21. Let z(r) = 5*r**3 - 7*r**2 - 11. Let t(y) = o*w(y) - z(y). What is t(-6)?\n' | b'5\n' | deepmind/math_dataset |
b'Let s(t) = -18*t + 44. Let u be s(2). Let m be (2/u*3)/((-32)/(-128)). Solve 3*w + 2*p - 10 = 0, -2*w - 2*p - m*p + 25 = 0 for w.\n' | b'0\n' | b'Let s(t) = -18*t + 44. Let u be s(2). Let m be (2/u*3)/((-32)/(-128)). Solve 3*w + 2*p - 10 = 0, -2*w - 2*p - m*p + 25 = 0 for w.\n' | b'0\n' | deepmind/math_dataset |
b'What is prob of sequence fgh when three letters picked without replacement from hghf?\n' | b'1/12\n' | b'What is prob of sequence fgh when three letters picked without replacement from hghf?\n' | b'1/12\n' | deepmind/math_dataset |
b'Let h be (-1 + 3 - 6) + -8. Let d be ((-10)/(-3))/((-8)/h). Let l be 3 - (1/4 - 9/(-12)). Solve l*f + 12 = -4*u, f - d*u + 6*u = -3 for f.\n' | b'0\n' | b'Let h be (-1 + 3 - 6) + -8. Let d be ((-10)/(-3))/((-8)/h). Let l be 3 - (1/4 - 9/(-12)). Solve l*f + 12 = -4*u, f - d*u + 6*u = -3 for f.\n' | b'0\n' | deepmind/math_dataset |
b'Two letters picked without replacement from btctxbqcbt. What is prob of picking 1 c and 1 q?\n' | b'2/45\n' | b'Two letters picked without replacement from btctxbqcbt. What is prob of picking 1 c and 1 q?\n' | b'2/45\n' | deepmind/math_dataset |
b'Let z be (-3 - -3)*(1/(-2) - -1). Let s(v) be the second derivative of v**2 - 1/6*v**3 - v + z. What is s(2)?\n' | b'0\n' | b'Let z be (-3 - -3)*(1/(-2) - -1). Let s(v) be the second derivative of v**2 - 1/6*v**3 - v + z. What is s(2)?\n' | b'0\n' | deepmind/math_dataset |
b'Let t(s) be the first derivative of -s**4/4 - 8*s**3/3 - s**2 - s + 2. Let i be t(-8). Let j = 18 - i. Solve -j = -c + a - 0*a, -2*c + 6 = -4*a for c.\n' | b'3\n' | b'Let t(s) be the first derivative of -s**4/4 - 8*s**3/3 - s**2 - s + 2. Let i be t(-8). Let j = 18 - i. Solve -j = -c + a - 0*a, -2*c + 6 = -4*a for c.\n' | b'3\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 g and 1 u when three letters picked without replacement from udddgudgud.\n' | b'1/40\n' | b'Calculate prob of picking 2 g and 1 u when three letters picked without replacement from udddgudgud.\n' | b'1/40\n' | deepmind/math_dataset |
b'Calculate prob of sequence qk when two letters picked without replacement from qkqkkqqkqqkqkmqqkqk.\n' | b'40/171\n' | b'Calculate prob of sequence qk when two letters picked without replacement from qkqkkqqkqqkqkmqqkqk.\n' | b'40/171\n' | deepmind/math_dataset |
b'Let q(p) be the third derivative of 4*p**3 - 17/60*p**6 + 0*p**5 + 0*p**4 + 0 - 13*p**2 + 0*p. Differentiate q(a) wrt a.\n' | b'-102*a**2\n' | b'Let q(p) be the third derivative of 4*p**3 - 17/60*p**6 + 0*p**5 + 0*p**4 + 0 - 13*p**2 + 0*p. Differentiate q(a) wrt a.\n' | b'-102*a**2\n' | deepmind/math_dataset |
b'Simplify (g/(g*g/(g**(1/4)/g*g)))**(2/11)*((g/(g*g**(-1/4)))/g)/g*g*g**(-6)/g*(g/(g**(1/5)*g)*g/g**(-1/3))**(-45) assuming g is positive.\n' | b'g**(-2591/44)\n' | b'Simplify (g/(g*g/(g**(1/4)/g*g)))**(2/11)*((g/(g*g**(-1/4)))/g)/g*g*g**(-6)/g*(g/(g**(1/5)*g)*g/g**(-1/3))**(-45) assuming g is positive.\n' | b'g**(-2591/44)\n' | deepmind/math_dataset |
b'Let r(m) = -2 - 7*m + 9 + 1 - 9 + 3. Determine r(1).\n' | b'-5\n' | b'Let r(m) = -2 - 7*m + 9 + 1 - 9 + 3. Determine r(1).\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify (s**(-3)/(s*s/(s*s/(s**(3/2)*s))*s))**28 assuming s is positive.\n' | b's**(-182)\n' | b'Simplify (s**(-3)/(s*s/(s*s/(s**(3/2)*s))*s))**28 assuming s is positive.\n' | b's**(-182)\n' | deepmind/math_dataset |
b'Simplify (h**(-9/2)*h**(-2/61))/((h/((h*h/(h*h**(-32)*h))/h*h))/h)**39 assuming h is positive.\n' | b'h**(151703/122)\n' | b'Simplify (h**(-9/2)*h**(-2/61))/((h/((h*h/(h*h**(-32)*h))/h*h))/h)**39 assuming h is positive.\n' | b'h**(151703/122)\n' | deepmind/math_dataset |
b'What is prob of sequence zs when two letters picked without replacement from zzsswszszszszqsz?\n' | b'49/240\n' | b'What is prob of sequence zs when two letters picked without replacement from zzsswszszszszqsz?\n' | b'49/240\n' | deepmind/math_dataset |
b'Let q(j) = -j**2 + 4*j + 1. Let h = 79 + -73. Determine q(h).\n' | b'-11\n' | b'Let q(j) = -j**2 + 4*j + 1. Let h = 79 + -73. Determine q(h).\n' | b'-11\n' | deepmind/math_dataset |
b'Simplify (d**(-27)*(d/d**(-6))/d*(d**(7/2)*d)**31)**(-1/40) assuming d is positive.\n' | b'd**(-237/80)\n' | b'Simplify (d**(-27)*(d/d**(-6))/d*(d**(7/2)*d)**31)**(-1/40) assuming d is positive.\n' | b'd**(-237/80)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 t and 1 w when two letters picked without replacement from {b: 2, w: 1, r: 1, t: 2}.\n' | b'2/15\n' | b'Calculate prob of picking 1 t and 1 w when two letters picked without replacement from {b: 2, w: 1, r: 1, t: 2}.\n' | b'2/15\n' | deepmind/math_dataset |
b'What is prob of picking 1 o and 2 m when three letters picked without replacement from mwmtwmmwwmmwmo?\n' | b'3/52\n' | b'What is prob of picking 1 o and 2 m when three letters picked without replacement from mwmtwmmwwmmwmo?\n' | b'3/52\n' | deepmind/math_dataset |
b'Let z(h) = -15*h - 87. Let i = -12 - -6. Let p be z(i). Solve -17 = -3*k - 5*m, 3*k - 7 = -2*k - p*m for k.\n' | b'-1\n' | b'Let z(h) = -15*h - 87. Let i = -12 - -6. Let p be z(i). Solve -17 = -3*k - 5*m, 3*k - 7 = -2*k - p*m for k.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify ((m*m**(-12))/((m**(-1/7)/m)/m))**(-4/9) assuming m is positive.\n' | b'm**(248/63)\n' | b'Simplify ((m*m**(-12))/((m**(-1/7)/m)/m))**(-4/9) assuming m is positive.\n' | b'm**(248/63)\n' | deepmind/math_dataset |
b'Suppose 0 = -2*n - 3*n + 35. Let h(x) = 5*x + 0*x + 20*x + 1 - 26*x. What is h(n)?\n' | b'-6\n' | b'Suppose 0 = -2*n - 3*n + 35. Let h(x) = 5*x + 0*x + 20*x + 1 - 26*x. What is h(n)?\n' | b'-6\n' | deepmind/math_dataset |
b'Simplify (i*i**(-7)*(i*i/(i/i**(4/9)))/i*i)/(i*i**(-2/15))**(-1/2) assuming i is positive.\n' | b'i**(-371/90)\n' | b'Simplify (i*i**(-7)*(i*i/(i/i**(4/9)))/i*i)/(i*i**(-2/15))**(-1/2) assuming i is positive.\n' | b'i**(-371/90)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {x: 1, v: 1, k: 2, p: 1, z: 1, r: 1}. Give prob of picking 1 v and 1 x.\n' | b'1/21\n' | b'Two letters picked without replacement from {x: 1, v: 1, k: 2, p: 1, z: 1, r: 1}. Give prob of picking 1 v and 1 x.\n' | b'1/21\n' | deepmind/math_dataset |
b'Three letters picked without replacement from jjfjfvb. Give prob of sequence bfv.\n' | b'1/105\n' | b'Three letters picked without replacement from jjfjfvb. Give prob of sequence bfv.\n' | b'1/105\n' | deepmind/math_dataset |
b'Let y(d) = -5*d + 1. Let b be y(2). Let o be ((-15)/b)/(2/(-6)). Let u be 51/(-15) + (-2)/o. Let l(z) = z**3 + 2*z**2 - z - 1. Calculate l(u).\n' | b'-7\n' | b'Let y(d) = -5*d + 1. Let b be y(2). Let o be ((-15)/b)/(2/(-6)). Let u be 51/(-15) + (-2)/o. Let l(z) = z**3 + 2*z**2 - z - 1. Calculate l(u).\n' | b'-7\n' | deepmind/math_dataset |
b'Simplify ((l*l**(-1/2))/l)**(-32)*l**0/l**(-1/3) assuming l is positive.\n' | b'l**(49/3)\n' | b'Simplify ((l*l**(-1/2))/l)**(-32)*l**0/l**(-1/3) assuming l is positive.\n' | b'l**(49/3)\n' | deepmind/math_dataset |
b'Suppose 48*w - 205 = 55*w - 23. Let q(s) = s**2 + 27*s + 27. What is q(w)?\n' | b'1\n' | b'Suppose 48*w - 205 = 55*w - 23. Let q(s) = s**2 + 27*s + 27. What is q(w)?\n' | b'1\n' | deepmind/math_dataset |
b'Suppose 87*m = 67*m + 80. Solve -m*y + 10*r - 32 = 13*r, 5*r = -3*y - 35 for y.\n' | b'-5\n' | b'Suppose 87*m = 67*m + 80. Solve -m*y + 10*r - 32 = 13*r, 5*r = -3*y - 35 for y.\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose 21 = -4*l - f, l + 3*f = -f - 24. Let j be (5 - 1)*l/(-8). Let z(h) = h**2 - 3*h - 2. Let q be z(4). Solve s + j*s = r + 2, -4*s = -q*r for s.\n' | b'2\n' | b'Suppose 21 = -4*l - f, l + 3*f = -f - 24. Let j be (5 - 1)*l/(-8). Let z(h) = h**2 - 3*h - 2. Let q be z(4). Solve s + j*s = r + 2, -4*s = -q*r for s.\n' | b'2\n' | deepmind/math_dataset |
b'Let a(q) be the first derivative of -2*q**6/3 + 9*q**4/4 + 53*q**3/3 - 53. Find the third derivative of a(c) wrt c.\n' | b'-240*c**2 + 54\n' | b'Let a(q) be the first derivative of -2*q**6/3 + 9*q**4/4 + 53*q**3/3 - 53. Find the third derivative of a(c) wrt c.\n' | b'-240*c**2 + 54\n' | deepmind/math_dataset |
b'Suppose 79*p = 80*p - 11. Find the first derivative of 3 - 2 - p*x - 8*x**4 + 4 + 6 wrt x.\n' | b'-32*x**3 - 11\n' | b'Suppose 79*p = 80*p - 11. Find the first derivative of 3 - 2 - p*x - 8*x**4 + 4 + 6 wrt x.\n' | b'-32*x**3 - 11\n' | deepmind/math_dataset |
b'Suppose 17*h - 21*h + 108 = n, 2*h = 4*n - 576. Solve -23 = -3*a + 5*b, 2*a + 145*b = n*b - 18 for a.\n' | b'1\n' | b'Suppose 17*h - 21*h + 108 = n, 2*h = 4*n - 576. Solve -23 = -3*a + 5*b, 2*a + 145*b = n*b - 18 for a.\n' | b'1\n' | deepmind/math_dataset |
b'Let i(q) be the first derivative of 55 - 4/3*q**3 - 82*q + 0*q**2. What is the derivative of i(j) wrt j?\n' | b'-8*j\n' | b'Let i(q) be the first derivative of 55 - 4/3*q**3 - 82*q + 0*q**2. What is the derivative of i(j) wrt j?\n' | b'-8*j\n' | deepmind/math_dataset |
b'What is prob of picking 1 b and 1 c when two letters picked without replacement from {p: 1, o: 1, j: 2, b: 2, c: 1, v: 2}?\n' | b'1/18\n' | b'What is prob of picking 1 b and 1 c when two letters picked without replacement from {p: 1, o: 1, j: 2, b: 2, c: 1, v: 2}?\n' | b'1/18\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {x: 6, n: 7}. Give prob of sequence nxn.\n' | b'21/143\n' | b'Three letters picked without replacement from {x: 6, n: 7}. Give prob of sequence nxn.\n' | b'21/143\n' | deepmind/math_dataset |
b'Suppose -2*s = -s. Let r = -3 - s. Let c(x) be the first derivative of -x**4/4 - x**3 + x**2/2 + 7. Calculate c(r).\n' | b'-3\n' | b'Suppose -2*s = -s. Let r = -3 - s. Let c(x) be the first derivative of -x**4/4 - x**3 + x**2/2 + 7. Calculate c(r).\n' | b'-3\n' | deepmind/math_dataset |
b'Calculate prob of sequence bs when two letters picked without replacement from ogossb.\n' | b'1/15\n' | b'Calculate prob of sequence bs when two letters picked without replacement from ogossb.\n' | b'1/15\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {l: 4, b: 4, d: 2, z: 4}. Give prob of sequence bzd.\n' | b'4/273\n' | b'Three letters picked without replacement from {l: 4, b: 4, d: 2, z: 4}. Give prob of sequence bzd.\n' | b'4/273\n' | deepmind/math_dataset |
b'Let o(r) = 410 - 57*r + 19 + 7 - 147. Determine o(5).\n' | b'4\n' | b'Let o(r) = 410 - 57*r + 19 + 7 - 147. Determine o(5).\n' | b'4\n' | deepmind/math_dataset |
b'Let o(r) be the third derivative of r**6/60 + r**5/20 - r**4/12 - r**3/3 + 24*r**2 + 61. What is o(2)?\n' | b'22\n' | b'Let o(r) be the third derivative of r**6/60 + r**5/20 - r**4/12 - r**3/3 + 24*r**2 + 61. What is o(2)?\n' | b'22\n' | deepmind/math_dataset |
b'What is prob of picking 3 u and 1 n when four letters picked without replacement from {p: 3, n: 6, e: 3, u: 1}?\n' | b'0\n' | b'What is prob of picking 3 u and 1 n when four letters picked without replacement from {p: 3, n: 6, e: 3, u: 1}?\n' | b'0\n' | deepmind/math_dataset |
b'Suppose -3*m = -t - 37, 72 = 5*m + 5*t + 17. Suppose -2 + 7 = -5*r, 3*r + m = 3*n. Solve 6 - 4 = -2*v, -n*w + 2*v = 7 for w.\n' | b'-3\n' | b'Suppose -3*m = -t - 37, 72 = 5*m + 5*t + 17. Suppose -2 + 7 = -5*r, 3*r + m = 3*n. Solve 6 - 4 = -2*v, -n*w + 2*v = 7 for w.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify u*u/u**(-18)*u*u**16/u assuming u is positive.\n' | b'u**36\n' | b'Simplify u*u/u**(-18)*u*u**16/u assuming u is positive.\n' | b'u**36\n' | deepmind/math_dataset |
b'Suppose 40 = -3*o + 7*o. What is the first derivative of -2 - 23 + 13 - o*y**2 wrt y?\n' | b'-20*y\n' | b'Suppose 40 = -3*o + 7*o. What is the first derivative of -2 - 23 + 13 - o*y**2 wrt y?\n' | b'-20*y\n' | deepmind/math_dataset |
b'What is the second derivative of -216*k**5 + 4*k**3 - 6*k**3 - 187*k + 16*k**5 wrt k?\n' | b'-4000*k**3 - 12*k\n' | b'What is the second derivative of -216*k**5 + 4*k**3 - 6*k**3 - 187*k + 16*k**5 wrt k?\n' | b'-4000*k**3 - 12*k\n' | deepmind/math_dataset |
b'Let x be 0/((9/(-513)*-19)/((-2)/(-6))). Solve l - 6 = -4*o, x = -2*l - 0*l - 2*o + 6 for l.\n' | b'2\n' | b'Let x be 0/((9/(-513)*-19)/((-2)/(-6))). Solve l - 6 = -4*o, x = -2*l - 0*l - 2*o + 6 for l.\n' | b'2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {s: 2, c: 1, l: 4}. What is prob of sequence ll?\n' | b'2/7\n' | b'Two letters picked without replacement from {s: 2, c: 1, l: 4}. What is prob of sequence ll?\n' | b'2/7\n' | deepmind/math_dataset |
b'Let y(h) = 7*h**2 - 12*h + 8. Let u(c) = -6*c**2 + 11*c - 7. Let k(t) = 6*u(t) + 5*y(t). Calculate k(6).\n' | b'-2\n' | b'Let y(h) = 7*h**2 - 12*h + 8. Let u(c) = -6*c**2 + 11*c - 7. Let k(t) = 6*u(t) + 5*y(t). Calculate k(6).\n' | b'-2\n' | deepmind/math_dataset |
b'Let c(d) be the first derivative of -5294*d**3/3 + 1117*d**2 - 4709. What is the second derivative of c(u) wrt u?\n' | b'-10588\n' | b'Let c(d) be the first derivative of -5294*d**3/3 + 1117*d**2 - 4709. What is the second derivative of c(u) wrt u?\n' | b'-10588\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {a: 3, t: 1, s: 1, z: 3, r: 1, v: 2}. What is prob of picking 2 a, 1 z, and 1 r?\n' | b'3/110\n' | b'Four letters picked without replacement from {a: 3, t: 1, s: 1, z: 3, r: 1, v: 2}. What is prob of picking 2 a, 1 z, and 1 r?\n' | b'3/110\n' | deepmind/math_dataset |
b'What is prob of sequence jjcx when four letters picked without replacement from jjxcwvcwcwwwccwvcw?\n' | b'1/6120\n' | b'What is prob of sequence jjcx when four letters picked without replacement from jjxcwvcwcwwwccwvcw?\n' | b'1/6120\n' | deepmind/math_dataset |
b'What is prob of sequence nwn when three letters picked without replacement from {w: 6, n: 2}?\n' | b'1/28\n' | b'What is prob of sequence nwn when three letters picked without replacement from {w: 6, n: 2}?\n' | b'1/28\n' | deepmind/math_dataset |
b'Calculate prob of sequence zvv when three letters picked without replacement from zxoxxxovxvxxxzovvvv.\n' | b'10/969\n' | b'Calculate prob of sequence zvv when three letters picked without replacement from zxoxxxovxvxxxzovvvv.\n' | b'10/969\n' | deepmind/math_dataset |
b'Suppose 0*p - 2*p + 34 = 0. Find the second derivative of -10*g**2 - 3*g**3 - p - 82 - 1 + g + 12 wrt g.\n' | b'-18*g - 20\n' | b'Suppose 0*p - 2*p + 34 = 0. Find the second derivative of -10*g**2 - 3*g**3 - p - 82 - 1 + g + 12 wrt g.\n' | b'-18*g - 20\n' | deepmind/math_dataset |
b'Suppose 0 = 19*l - 17*l - 10. Let c(p) be the first derivative of -1 - 4/3*p**3 - p**2 - l*p - 1/4*p**4. Calculate c(-4).\n' | b'3\n' | b'Suppose 0 = 19*l - 17*l - 10. Let c(p) be the first derivative of -1 - 4/3*p**3 - p**2 - l*p - 1/4*p**4. Calculate c(-4).\n' | b'3\n' | deepmind/math_dataset |
b'Suppose 2*b = 8, b - 179 = -3*k - 2*k. Solve -4*n - k = 5*s, 9 = -s - n + 1 for s.\n' | b'-3\n' | b'Suppose 2*b = 8, b - 179 = -3*k - 2*k. Solve -4*n - k = 5*s, 9 = -s - n + 1 for s.\n' | b'-3\n' | deepmind/math_dataset |
b'Let y = -6 + 9. Let z = -15 + 31. Suppose -4*r - z = b, 0 = -y*b + 5*b. Let u(p) = -p**3 - 4*p**2 - p + 1. Give u(r).\n' | b'5\n' | b'Let y = -6 + 9. Let z = -15 + 31. Suppose -4*r - z = b, 0 = -y*b + 5*b. Let u(p) = -p**3 - 4*p**2 - p + 1. Give u(r).\n' | b'5\n' | deepmind/math_dataset |
b'Suppose 0 = 28*g - 24*g - 16. Solve 4*q - d = 3*d, 3*q - g*d + 4 = 0 for q.\n' | b'4\n' | b'Suppose 0 = 28*g - 24*g - 16. Solve 4*q - d = 3*d, 3*q - g*d + 4 = 0 for q.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify g**(-21)/(g/g**(-30))*(g/(g*g/(g/g**(-5)*g)))**(-13/3) assuming g is positive.\n' | b'g**(-78)\n' | b'Simplify g**(-21)/(g/g**(-30))*(g/(g*g/(g/g**(-5)*g)))**(-13/3) assuming g is positive.\n' | b'g**(-78)\n' | deepmind/math_dataset |
b'Let m be 1 + 4 + (-3 - 0). Let b(a) = 3 - m*a - 8 + 6*a. Determine b(4).\n' | b'11\n' | b'Let m be 1 + 4 + (-3 - 0). Let b(a) = 3 - m*a - 8 + 6*a. Determine b(4).\n' | b'11\n' | deepmind/math_dataset |
b'Let n(z) = 2*z**2 + 2*z. Let k be 1/(2/(-1*4)). Give n(k).\n' | b'4\n' | b'Let n(z) = 2*z**2 + 2*z. Let k be 1/(2/(-1*4)). Give n(k).\n' | b'4\n' | deepmind/math_dataset |
b'What is prob of picking 2 c and 1 r when three letters picked without replacement from rgggxgcgcxgrc?\n' | b'3/143\n' | b'What is prob of picking 2 c and 1 r when three letters picked without replacement from rgggxgcgcxgrc?\n' | b'3/143\n' | deepmind/math_dataset |
b'What is prob of sequence ha when two letters picked without replacement from ahzz?\n' | b'1/12\n' | b'What is prob of sequence ha when two letters picked without replacement from ahzz?\n' | b'1/12\n' | deepmind/math_dataset |
b'Suppose -2*k - 3*k = 2*k. Solve k = -3*t - 2*q - 4, 4*q - 9 + 1 = -2*t for t.\n' | b'-4\n' | b'Suppose -2*k - 3*k = 2*k. Solve k = -3*t - 2*q - 4, 4*q - 9 + 1 = -2*t for t.\n' | b'-4\n' | deepmind/math_dataset |
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