question stringlengths 40 165 | answer stringlengths 6 35 | instruction_seed stringlengths 40 165 | response_seed stringlengths 6 35 | _source stringclasses 1
value |
|---|---|---|---|---|
b'Let l(r) be the first derivative of -r**4/24 + 2*r**3/3 - r**2/2 - 4. Let m(x) be the second derivative of l(x). Differentiate m(w) wrt w.\n' | b'-1\n' | b'Let l(r) be the first derivative of -r**4/24 + 2*r**3/3 - r**2/2 - 4. Let m(x) be the second derivative of l(x). Differentiate m(w) wrt w.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify ((d*d**(-2/73))/d)/(d**(-19)/d*d) assuming d is positive.\n' | b'd**(1385/73)\n' | b'Simplify ((d*d**(-2/73))/d)/(d**(-19)/d*d) assuming d is positive.\n' | b'd**(1385/73)\n' | deepmind/math_dataset |
b'Simplify ((((l*(l/(l*l*l**(1/9)/l))/l*l)/l)/l**(-2/25))/(l**(1/9)/l*l/l**1))/(((l*(l*l/(l*l**(3/2))*l)/l)/l**4)/(l**1)**(-31)) assuming l is positive.\n' | b'l**(-11989/450)\n' | b'Simplify ((((l*(l/(l*l*l**(1/9)/l))/l*l)/l)/l**(-2/25))/(l**(1/9)/l*l/l**1))/(((l*(l*l/(l*l**(3/2))*l)/l)/l**4)/(l**1)**(-31)) assuming l is positive.\n' | b'l**(-11989/450)\n' | deepmind/math_dataset |
b'Let v(m) = 7*m + 2. Let z(q) = -6*q - 1. Let a(t) = 4*v(t) + 5*z(t). Suppose 0 = 4*c - 16. Determine a(c).\n' | b'-5\n' | b'Let v(m) = 7*m + 2. Let z(q) = -6*q - 1. Let a(t) = 4*v(t) + 5*z(t). Suppose 0 = 4*c - 16. Determine a(c).\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify (n**(-4/9)*n**(2/17)/n*(((n*n*n**0*n*n)/n)/n)**(2/113))**(1/11) assuming n is positive.\n' | b'n**(-22327/190179)\n' | b'Simplify (n**(-4/9)*n**(2/17)/n*(((n*n*n**0*n*n)/n)/n)**(2/113))**(1/11) assuming n is positive.\n' | b'n**(-22327/190179)\n' | deepmind/math_dataset |
b'Calculate prob of sequence jp when two letters picked without replacement from upuuujkufuyuuj.\n' | b'1/91\n' | b'Calculate prob of sequence jp when two letters picked without replacement from upuuujkufuyuuj.\n' | b'1/91\n' | deepmind/math_dataset |
b'Suppose q - 1 = 1. Solve -q*u = 0, -2*c = -0*c - u + 10 for c.\n' | b'-5\n' | b'Suppose q - 1 = 1. Solve -q*u = 0, -2*c = -0*c - u + 10 for c.\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose 5*j + 22 = 16*j. What is the first derivative of -5*n - 1007 + n + 1019 - 4*n**j wrt n?\n' | b'-8*n - 4\n' | b'Suppose 5*j + 22 = 16*j. What is the first derivative of -5*n - 1007 + n + 1019 - 4*n**j wrt n?\n' | b'-8*n - 4\n' | deepmind/math_dataset |
b'What is the second derivative of -4527*n + 4530*n + 280*n**3 + 111*n**3 + 119 wrt n?\n' | b'2346*n\n' | b'What is the second derivative of -4527*n + 4530*n + 280*n**3 + 111*n**3 + 119 wrt n?\n' | b'2346*n\n' | deepmind/math_dataset |
b'What is the third derivative of -58*b - 62*b**4 - 20*b**2 - 19*b**4 + 58*b wrt b?\n' | b'-1944*b\n' | b'What is the third derivative of -58*b - 62*b**4 - 20*b**2 - 19*b**4 + 58*b wrt b?\n' | b'-1944*b\n' | deepmind/math_dataset |
b'What is prob of sequence cff when three letters picked without replacement from {f: 2, c: 2}?\n' | b'1/6\n' | b'What is prob of sequence cff when three letters picked without replacement from {f: 2, c: 2}?\n' | b'1/6\n' | deepmind/math_dataset |
b'Let w(j) = 36 - j + 32 + 31 - 94. Calculate w(11).\n' | b'-6\n' | b'Let w(j) = 36 - j + 32 + 31 - 94. Calculate w(11).\n' | b'-6\n' | deepmind/math_dataset |
b'Let y(w) = 3*w. Suppose 3*j + 60 = 2*b, -124 = -5*b + 2*j + 4. Let h = -27 + b. Calculate y(h).\n' | b'-9\n' | b'Let y(w) = 3*w. Suppose 3*j + 60 = 2*b, -124 = -5*b + 2*j + 4. Let h = -27 + b. Calculate y(h).\n' | b'-9\n' | deepmind/math_dataset |
b'Let w(z) = z**3 + 5*z**2 + z + 6. Suppose 3*u - 2*u + 4 = 0. Let n be w(u). Solve -11 = -f + 2*c, -4*c - n - 7 = -3*f for f.\n' | b'3\n' | b'Let w(z) = z**3 + 5*z**2 + z + 6. Suppose 3*u - 2*u + 4 = 0. Let n be w(u). Solve -11 = -f + 2*c, -4*c - n - 7 = -3*f for f.\n' | b'3\n' | deepmind/math_dataset |
b'Let i = -6 + 11. Suppose 5*v = -q + 8, -2*q + 3 = -i*v + 2*v. Let h be 3*(3 - v) + -3. Solve 0 = 2*x - n + 1 - 2, -2*x + h*n = -7 for x.\n' | b'-1\n' | b'Let i = -6 + 11. Suppose 5*v = -q + 8, -2*q + 3 = -i*v + 2*v. Let h be 3*(3 - v) + -3. Solve 0 = 2*x - n + 1 - 2, -2*x + h*n = -7 for x.\n' | b'-1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {k: 2, x: 1, h: 2, w: 1, g: 1, q: 2}. What is prob of picking 1 h and 1 g?\n' | b'1/18\n' | b'Two letters picked without replacement from {k: 2, x: 1, h: 2, w: 1, g: 1, q: 2}. What is prob of picking 1 h and 1 g?\n' | b'1/18\n' | deepmind/math_dataset |
b'Suppose -3*g + 2*s + 25 = 0, g + 5*s = 3*s + 3. Solve -4*x + g = 5*t, 5*x - 14 = 1 for t.\n' | b'-1\n' | b'Suppose -3*g + 2*s + 25 = 0, g + 5*s = 3*s + 3. Solve -4*x + g = 5*t, 5*x - 14 = 1 for t.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify ((h/h**8)**(-10/13))**6 assuming h is positive.\n' | b'h**(420/13)\n' | b'Simplify ((h/h**8)**(-10/13))**6 assuming h is positive.\n' | b'h**(420/13)\n' | deepmind/math_dataset |
b'Suppose 5*n - 6 - 19 = 0. Suppose 0 = -4*l - 34 + 138. Find the second derivative of -22*q - 4*q**5 + l*q + 9*q**n wrt q.\n' | b'100*q**3\n' | b'Suppose 5*n - 6 - 19 = 0. Suppose 0 = -4*l - 34 + 138. Find the second derivative of -22*q - 4*q**5 + l*q + 9*q**n wrt q.\n' | b'100*q**3\n' | deepmind/math_dataset |
b'Suppose 4*x - b - 20 = 0, -3*x + 5*b - 16 = -14. Let o(c) = c**2 - 8*c + 2. Determine o(x).\n' | b'-10\n' | b'Suppose 4*x - b - 20 = 0, -3*x + 5*b - 16 = -14. Let o(c) = c**2 - 8*c + 2. Determine o(x).\n' | b'-10\n' | deepmind/math_dataset |
b'Let v(i) = 3*i**2 - 10*i + 3. Let h(s) = 5*s**2 - 19*s + 6. Let u(m) = -4*h(m) + 7*v(m). Let d(b) be the first derivative of u(b). Determine d(-5).\n' | b'-4\n' | b'Let v(i) = 3*i**2 - 10*i + 3. Let h(s) = 5*s**2 - 19*s + 6. Let u(m) = -4*h(m) + 7*v(m). Let d(b) be the first derivative of u(b). Determine d(-5).\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify ((b/((b*b**(8/9)/b)/b)*b**(-15/2)*b*b)/(b/((b/(b/b**(3/4)))/b))**(-22))**(-5/9) assuming b is positive.\n' | b'b**(-1040/81)\n' | b'Simplify ((b/((b*b**(8/9)/b)/b)*b**(-15/2)*b*b)/(b/((b/(b/b**(3/4)))/b))**(-22))**(-5/9) assuming b is positive.\n' | b'b**(-1040/81)\n' | deepmind/math_dataset |
b'Calculate prob of sequence fff when three letters picked without replacement from {f: 4}.\n' | b'1\n' | b'Calculate prob of sequence fff when three letters picked without replacement from {f: 4}.\n' | b'1\n' | deepmind/math_dataset |
b'Suppose 5*c - h - h = 20, -2*c - 11 = 3*h. Let z(p) = -p**2 - 4*p**3 + 1 - p + 2*p**c - 5*p**3 - p**3. Calculate z(1).\n' | b'-9\n' | b'Suppose 5*c - h - h = 20, -2*c - 11 = 3*h. Let z(p) = -p**2 - 4*p**3 + 1 - p + 2*p**c - 5*p**3 - p**3. Calculate z(1).\n' | b'-9\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {a: 8, l: 1, z: 2, r: 2}. What is prob of sequence ar?\n' | b'4/39\n' | b'Two letters picked without replacement from {a: 8, l: 1, z: 2, r: 2}. What is prob of sequence ar?\n' | b'4/39\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {x: 14, a: 5}. Give prob of picking 1 x and 2 a.\n' | b'140/969\n' | b'Three letters picked without replacement from {x: 14, a: 5}. Give prob of picking 1 x and 2 a.\n' | b'140/969\n' | deepmind/math_dataset |
b'Suppose h = 7*h - 18. Solve -3 = -4*i + 5*r - 15, h*i + 9 = -r for i.\n' | b'-3\n' | b'Suppose h = 7*h - 18. Solve -3 = -4*i + 5*r - 15, h*i + 9 = -r for i.\n' | b'-3\n' | deepmind/math_dataset |
b'What is prob of sequence ujj when three letters picked without replacement from {j: 14, u: 1}?\n' | b'1/15\n' | b'What is prob of sequence ujj when three letters picked without replacement from {j: 14, u: 1}?\n' | b'1/15\n' | deepmind/math_dataset |
b'Let c = 5229/4 + -1307. Let j(a) be the first derivative of -3/2*a**2 + 7 + 4/3*a**3 - 3*a - c*a**4. Determine j(3).\n' | b'-3\n' | b'Let c = 5229/4 + -1307. Let j(a) be the first derivative of -3/2*a**2 + 7 + 4/3*a**3 - 3*a - c*a**4. Determine j(3).\n' | b'-3\n' | deepmind/math_dataset |
b'Suppose -2*p = -2*m + 7 + 7, -m + 4*p + 13 = 0. Suppose -m*d + 66 = -16*d. Let q(b) = -3*b - 4. Let n(x) = -1. Let y(t) = d*n(t) + q(t). Calculate y(5).\n' | b'-13\n' | b'Suppose -2*p = -2*m + 7 + 7, -m + 4*p + 13 = 0. Suppose -m*d + 66 = -16*d. Let q(b) = -3*b - 4. Let n(x) = -1. Let y(t) = d*n(t) + q(t). Calculate y(5).\n' | b'-13\n' | deepmind/math_dataset |
b'Simplify (f**(-1/5)/f*f**2)**(-15/2) assuming f is positive.\n' | b'f**(-6)\n' | b'Simplify (f**(-1/5)/f*f**2)**(-15/2) assuming f is positive.\n' | b'f**(-6)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ooobowbaabbobono. Give prob of picking 1 o, 1 b, and 1 n.\n' | b'1/16\n' | b'Three letters picked without replacement from ooobowbaabbobono. Give prob of picking 1 o, 1 b, and 1 n.\n' | b'1/16\n' | deepmind/math_dataset |
b'Let o(l) be the second derivative of -3*l**5/10 + l**4/4 - l**3/3 - 26*l + 8. Determine o(1).\n' | b'-5\n' | b'Let o(l) be the second derivative of -3*l**5/10 + l**4/4 - l**3/3 - 26*l + 8. Determine o(1).\n' | b'-5\n' | deepmind/math_dataset |
b'Let y = -4 + 10. Find the third derivative of -2*x**6 - x**2 + 3*x**2 - 3*x**6 + 2*x**y wrt x.\n' | b'-360*x**3\n' | b'Let y = -4 + 10. Find the third derivative of -2*x**6 - x**2 + 3*x**2 - 3*x**6 + 2*x**y wrt x.\n' | b'-360*x**3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {v: 1, a: 1, l: 1, b: 1, n: 1}. What is prob of sequence vb?\n' | b'1/20\n' | b'Two letters picked without replacement from {v: 1, a: 1, l: 1, b: 1, n: 1}. What is prob of sequence vb?\n' | b'1/20\n' | deepmind/math_dataset |
b'Simplify (((w**(-1)*w)/w*w)**(-19/5)/((w*w**1)/(w**(-4)*w)))/((w/(w/w**(-1)*w))**(-44))**(-38) assuming w is positive.\n' | b'w**3339\n' | b'Simplify (((w**(-1)*w)/w*w)**(-19/5)/((w*w**1)/(w**(-4)*w)))/((w/(w/w**(-1)*w))**(-44))**(-38) assuming w is positive.\n' | b'w**3339\n' | deepmind/math_dataset |
b'Let d = -7 - -6. Let h = d - -4. Solve 0 = -3*o - 0*o - q - 8, -h*q - 11 = -4*o for o.\n' | b'-1\n' | b'Let d = -7 - -6. Let h = d - -4. Solve 0 = -3*o - 0*o - q - 8, -h*q - 11 = -4*o for o.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify (((a/a**9)/(a/((a*a*a**(3/11))/a)*a))/(((a**2/a)/a)/(a/(a**(1/7)/a))))/((a**(-4/5)*a)/(a*a/a**8))**(-43) assuming a is positive.\n' | b'a**(99996/385)\n' | b'Simplify (((a/a**9)/(a/((a*a*a**(3/11))/a)*a))/(((a**2/a)/a)/(a/(a**(1/7)/a))))/((a**(-4/5)*a)/(a*a/a**8))**(-43) assuming a is positive.\n' | b'a**(99996/385)\n' | deepmind/math_dataset |
b'Let f(g) = g**2 + 4*g - 8. Let d be f(-6). Let a be 8*(-4 - (-145)/20). Solve 0*b + 5*b = -u - 10, -d*u = -2*b - a for u.\n' | b'5\n' | b'Let f(g) = g**2 + 4*g - 8. Let d be f(-6). Let a be 8*(-4 - (-145)/20). Solve 0*b + 5*b = -u - 10, -d*u = -2*b - a for u.\n' | b'5\n' | deepmind/math_dataset |
b'Let z(o) = 31*o - 213. Let l be z(7). Solve 0 = 4*j + 2*n - 10, 1 = l*n - 3 for j.\n' | b'2\n' | b'Let z(o) = 31*o - 213. Let l be z(7). Solve 0 = 4*j + 2*n - 10, 1 = l*n - 3 for j.\n' | b'2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {w: 2, v: 3}. What is prob of sequence ww?\n' | b'1/10\n' | b'Two letters picked without replacement from {w: 2, v: 3}. What is prob of sequence ww?\n' | b'1/10\n' | deepmind/math_dataset |
b'Let o(l) = -6*l + 3. Let a(i) = i**2 - i. Let n(v) = -a(v) - o(v). Let c(d) = -5*d - 1. Let x be 3/(-1) - 2*-1. Let t be c(x). What is n(t)?\n' | b'9\n' | b'Let o(l) = -6*l + 3. Let a(i) = i**2 - i. Let n(v) = -a(v) - o(v). Let c(d) = -5*d - 1. Let x be 3/(-1) - 2*-1. Let t be c(x). What is n(t)?\n' | b'9\n' | deepmind/math_dataset |
b'Let x(b) = 5622*b**3 + b - 12*b**2 + 19 - 3*b - 5621*b**3 - b + b. Determine x(12).\n' | b'-5\n' | b'Let x(b) = 5622*b**3 + b - 12*b**2 + 19 - 3*b - 5621*b**3 - b + b. Determine x(12).\n' | b'-5\n' | deepmind/math_dataset |
b'Let t(d) = 4*d**3 + 0*d**3 - 5*d**3 - 4*d - 3 - d**3 - 4*d**2. Let g be t(-2). Solve 3*m + 4 = g*i, -5*i + i = 4 for m.\n' | b'-3\n' | b'Let t(d) = 4*d**3 + 0*d**3 - 5*d**3 - 4*d - 3 - d**3 - 4*d**2. Let g be t(-2). Solve 3*m + 4 = g*i, -5*i + i = 4 for m.\n' | b'-3\n' | deepmind/math_dataset |
b'Let r be (-1 - 0) + (1 + -1 - -3). Let d(o) = 133*o + 1332. Let u be d(-10). Solve 4*p + 10 = z, 2*p - u = r*z - 10 for p.\n' | b'-2\n' | b'Let r be (-1 - 0) + (1 + -1 - -3). Let d(o) = 133*o + 1332. Let u be d(-10). Solve 4*p + 10 = z, 2*p - u = r*z - 10 for p.\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify ((q/(q**(-2)*q*q))/(q*q/(q/(q/q**(-1/2)))))**50/((q*q**(2/7)*q)**8*(q*q**7)/((q/(q*q*q**(-5)))/q)) assuming q is positive.\n' | b'q**(-688/7)\n' | b'Simplify ((q/(q**(-2)*q*q))/(q*q/(q/(q/q**(-1/2)))))**50/((q*q**(2/7)*q)**8*(q*q**7)/((q/(q*q*q**(-5)))/q)) assuming q is positive.\n' | b'q**(-688/7)\n' | deepmind/math_dataset |
b'Let d(n) = -5*n**2 + 10*n + 8. Let m(k) = 14*k**2 - 27*k - 23. Let s(j) = -17*d(j) - 6*m(j). Let t(i) = -7*i. Let q be t(-1). Calculate s(q).\n' | b'-5\n' | b'Let d(n) = -5*n**2 + 10*n + 8. Let m(k) = 14*k**2 - 27*k - 23. Let s(j) = -17*d(j) - 6*m(j). Let t(i) = -7*i. Let q be t(-1). Calculate s(q).\n' | b'-5\n' | deepmind/math_dataset |
b'What is prob of picking 1 c and 1 g when two letters picked without replacement from gdgdgacdgddcdddcdcgd?\n' | b'2/19\n' | b'What is prob of picking 1 c and 1 g when two letters picked without replacement from gdgdgacdgddcdddcdcgd?\n' | b'2/19\n' | deepmind/math_dataset |
b'Four letters picked without replacement from suuibibiiiuiisb. What is prob of sequence buuu?\n' | b'1/1820\n' | b'Four letters picked without replacement from suuibibiiiuiisb. What is prob of sequence buuu?\n' | b'1/1820\n' | deepmind/math_dataset |
b'Calculate prob of sequence yrr when three letters picked without replacement from {y: 7, r: 3, t: 4}.\n' | b'1/52\n' | b'Calculate prob of sequence yrr when three letters picked without replacement from {y: 7, r: 3, t: 4}.\n' | b'1/52\n' | deepmind/math_dataset |
b'Let u be -4 + 15 + (-29 - -14). Let y(f) = -5*f - 25. Calculate y(u).\n' | b'-5\n' | b'Let u be -4 + 15 + (-29 - -14). Let y(f) = -5*f - 25. Calculate y(u).\n' | b'-5\n' | deepmind/math_dataset |
b'Let z be -7*((-18)/(-15))/((-7)/5). Let p(m) be the first derivative of m**2/2 - 10*m + 1. What is p(z)?\n' | b'-4\n' | b'Let z be -7*((-18)/(-15))/((-7)/5). Let p(m) be the first derivative of m**2/2 - 10*m + 1. What is p(z)?\n' | b'-4\n' | deepmind/math_dataset |
b'Let p(x) = -x**3 - 10*x**2 - 7*x + 64. Let f(t) = -t**3 - 10*t**2 - 7*t + 72. Let b(z) = 6*f(z) - 7*p(z). Determine b(-7).\n' | b'82\n' | b'Let p(x) = -x**3 - 10*x**2 - 7*x + 64. Let f(t) = -t**3 - 10*t**2 - 7*t + 72. Let b(z) = 6*f(z) - 7*p(z). Determine b(-7).\n' | b'82\n' | deepmind/math_dataset |
b'Let r = -3196 - -3225. Let a(s) = -s**3 + 29*s**2 - s + 16. Calculate a(r).\n' | b'-13\n' | b'Let r = -3196 - -3225. Let a(s) = -s**3 + 29*s**2 - s + 16. Calculate a(r).\n' | b'-13\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {v: 5, g: 13}. What is prob of picking 2 v?\n' | b'10/153\n' | b'Two letters picked without replacement from {v: 5, g: 13}. What is prob of picking 2 v?\n' | b'10/153\n' | deepmind/math_dataset |
b'What is prob of sequence bq when two letters picked without replacement from {e: 4, h: 6, b: 4, q: 5, l: 1}?\n' | b'1/19\n' | b'What is prob of sequence bq when two letters picked without replacement from {e: 4, h: 6, b: 4, q: 5, l: 1}?\n' | b'1/19\n' | deepmind/math_dataset |
b'Let x(f) = 6*f - 5*f - 1506288 + 1506295. Let y = 6 - 4. Let k(w) = -2*w - 2. Let z be k(y). Determine x(z).\n' | b'1\n' | b'Let x(f) = 6*f - 5*f - 1506288 + 1506295. Let y = 6 - 4. Let k(w) = -2*w - 2. Let z be k(y). Determine x(z).\n' | b'1\n' | deepmind/math_dataset |
b'Let g(o) = -14637*o - 13919. Let a(l) = -4880*l - 4636. Let t(h) = -17*a(h) + 6*g(h). What is the first derivative of t(p) wrt p?\n' | b'-4862\n' | b'Let g(o) = -14637*o - 13919. Let a(l) = -4880*l - 4636. Let t(h) = -17*a(h) + 6*g(h). What is the first derivative of t(p) wrt p?\n' | b'-4862\n' | deepmind/math_dataset |
b'What is prob of sequence qh when two letters picked without replacement from {q: 5, i: 2, p: 1, t: 2, h: 4, j: 1}?\n' | b'2/21\n' | b'What is prob of sequence qh when two letters picked without replacement from {q: 5, i: 2, p: 1, t: 2, h: 4, j: 1}?\n' | b'2/21\n' | deepmind/math_dataset |
b'Let k be (-12)/((675/20)/(-9) + 3). Differentiate v**3 - k*v**3 - 6*v**3 + 3*v**3 + 52 with respect to v.\n' | b'-54*v**2\n' | b'Let k be (-12)/((675/20)/(-9) + 3). Differentiate v**3 - k*v**3 - 6*v**3 + 3*v**3 + 52 with respect to v.\n' | b'-54*v**2\n' | deepmind/math_dataset |
b'Simplify (z**11/z**8)**(-12) assuming z is positive.\n' | b'z**(-36)\n' | b'Simplify (z**11/z**8)**(-12) assuming z is positive.\n' | b'z**(-36)\n' | deepmind/math_dataset |
b'Suppose 0 = u + 3*u - 20. What is the second derivative of 0*b - 4*b + 5*b + 10*b**5 - 3*b**u wrt b?\n' | b'140*b**3\n' | b'Suppose 0 = u + 3*u - 20. What is the second derivative of 0*b - 4*b + 5*b + 10*b**5 - 3*b**u wrt b?\n' | b'140*b**3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from lqggjggqqgjg. Give prob of sequence gjl.\n' | b'1/110\n' | b'Three letters picked without replacement from lqggjggqqgjg. Give prob of sequence gjl.\n' | b'1/110\n' | deepmind/math_dataset |
b'Simplify (u**(1/14)/(u**(-11)/u))**(-16) assuming u is positive.\n' | b'u**(-1352/7)\n' | b'Simplify (u**(1/14)/(u**(-11)/u))**(-16) assuming u is positive.\n' | b'u**(-1352/7)\n' | deepmind/math_dataset |
b'Simplify (z**(4/19)*z)/(z*(z*z**(-4/3)*z)/z)*((z*z**(1/2))/z)/z*(z/(z*z**(9/5)/z)*z)/z assuming z is positive.\n' | b'z**(-431/570)\n' | b'Simplify (z**(4/19)*z)/(z*(z*z**(-4/3)*z)/z)*((z*z**(1/2))/z)/z*(z/(z*z**(9/5)/z)*z)/z assuming z is positive.\n' | b'z**(-431/570)\n' | deepmind/math_dataset |
b'Simplify (m*m*m**(-5/4))/(m/(m**(2/17)/m*m*m*m)) assuming m is positive.\n' | b'm**(127/68)\n' | b'Simplify (m*m*m**(-5/4))/(m/(m**(2/17)/m*m*m*m)) assuming m is positive.\n' | b'm**(127/68)\n' | deepmind/math_dataset |
b'Simplify ((z**(-2/7))**(24/7)/(z**(-1/4)/(z*z/z**(1/7))))**(1/2) assuming z is positive.\n' | b'z**(221/392)\n' | b'Simplify ((z**(-2/7))**(24/7)/(z**(-1/4)/(z*z/z**(1/7))))**(1/2) assuming z is positive.\n' | b'z**(221/392)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ohhohhhohhhhhoohoi. Give prob of picking 1 i and 2 o.\n' | b'5/272\n' | b'Three letters picked without replacement from ohhohhhohhhhhoohoi. Give prob of picking 1 i and 2 o.\n' | b'5/272\n' | deepmind/math_dataset |
b'What is prob of picking 1 d and 1 o when two letters picked without replacement from {p: 4, o: 6, d: 1, q: 4}?\n' | b'2/35\n' | b'What is prob of picking 1 d and 1 o when two letters picked without replacement from {p: 4, o: 6, d: 1, q: 4}?\n' | b'2/35\n' | deepmind/math_dataset |
b'Three letters picked without replacement from xmqcs. Give prob of sequence mqx.\n' | b'1/60\n' | b'Three letters picked without replacement from xmqcs. Give prob of sequence mqx.\n' | b'1/60\n' | deepmind/math_dataset |
b'Let m(a) = -3*a**2 + 16*a - 1. Let y be m(5). Let b be -3 + (-12 - 2)/(-2). What is the first derivative of -4*l**b + 12*l**4 - 5*l**y + 0 - 8 wrt l?\n' | b'12*l**3\n' | b'Let m(a) = -3*a**2 + 16*a - 1. Let y be m(5). Let b be -3 + (-12 - 2)/(-2). What is the first derivative of -4*l**b + 12*l**4 - 5*l**y + 0 - 8 wrt l?\n' | b'12*l**3\n' | deepmind/math_dataset |
b'Let k(b) be the first derivative of 13*b**2/2 + 99*b - 2205. Calculate k(-8).\n' | b'-5\n' | b'Let k(b) be the first derivative of 13*b**2/2 + 99*b - 2205. Calculate k(-8).\n' | b'-5\n' | deepmind/math_dataset |
b'What is prob of sequence ql when two letters picked without replacement from qqaazllqlllla?\n' | b'3/26\n' | b'What is prob of sequence ql when two letters picked without replacement from qqaazllqlllla?\n' | b'3/26\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {b: 2, z: 1, u: 2, j: 2, r: 3, y: 2}. Give prob of picking 4 b.\n' | b'0\n' | b'Four letters picked without replacement from {b: 2, z: 1, u: 2, j: 2, r: 3, y: 2}. Give prob of picking 4 b.\n' | b'0\n' | deepmind/math_dataset |
b'What is prob of picking 1 h and 3 o when four letters picked without replacement from {o: 8, h: 2}?\n' | b'8/15\n' | b'What is prob of picking 1 h and 3 o when four letters picked without replacement from {o: 8, h: 2}?\n' | b'8/15\n' | deepmind/math_dataset |
b'Calculate prob of sequence hst when three letters picked without replacement from {t: 1, h: 14, s: 5}.\n' | b'7/684\n' | b'Calculate prob of sequence hst when three letters picked without replacement from {t: 1, h: 14, s: 5}.\n' | b'7/684\n' | deepmind/math_dataset |
b'What is prob of picking 3 g and 1 f when four letters picked without replacement from ggggggggfgggggggggg?\n' | b'4/19\n' | b'What is prob of picking 3 g and 1 f when four letters picked without replacement from ggggggggfgggggggggg?\n' | b'4/19\n' | deepmind/math_dataset |
b'Suppose l - 3*l = 0, -l = -3*h + 3. Let u = -2 + 2. Suppose -16 = -4*o - u. Solve g + o*z = 16, -5*g - 3 = -z + h for g.\n' | b'0\n' | b'Suppose l - 3*l = 0, -l = -3*h + 3. Let u = -2 + 2. Suppose -16 = -4*o - u. Solve g + o*z = 16, -5*g - 3 = -z + h for g.\n' | b'0\n' | deepmind/math_dataset |
b'Suppose -122*h + 362 - 6970 = -181*h. Solve 4*d - 2*m = -2, 5*m + 87 = h for d.\n' | b'2\n' | b'Suppose -122*h + 362 - 6970 = -181*h. Solve 4*d - 2*m = -2, 5*m + 87 = h for d.\n' | b'2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {q: 1, f: 1, b: 3, u: 2}. Give prob of sequence ub.\n' | b'1/7\n' | b'Two letters picked without replacement from {q: 1, f: 1, b: 3, u: 2}. Give prob of sequence ub.\n' | b'1/7\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {f: 3, j: 3, w: 2, a: 1, b: 1, z: 1}. What is prob of picking 1 j, 1 b, and 1 w?\n' | b'2/55\n' | b'Three letters picked without replacement from {f: 3, j: 3, w: 2, a: 1, b: 1, z: 1}. What is prob of picking 1 j, 1 b, and 1 w?\n' | b'2/55\n' | deepmind/math_dataset |
b'Let y = -21 + 38. Let q = 34 - y. Solve -a - 4*w + q = 0, -w + 4*w - 11 = a for a.\n' | b'1\n' | b'Let y = -21 + 38. Let q = 34 - y. Solve -a - 4*w + q = 0, -w + 4*w - 11 = a for a.\n' | b'1\n' | deepmind/math_dataset |
b'Let d = -1662 - -1663. Solve -2*o + 10 = 4*g, 0 = 4*o + 5*g - 4 - d for o.\n' | b'-5\n' | b'Let d = -1662 - -1663. Solve -2*o + 10 = 4*g, 0 = 4*o + 5*g - 4 - d for o.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify ((l**1*(l**(-2)*l)/l)**(2/15))**(-23/5) assuming l is positive.\n' | b'l**(46/75)\n' | b'Simplify ((l**1*(l**(-2)*l)/l)**(2/15))**(-23/5) assuming l is positive.\n' | b'l**(46/75)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {k: 8, t: 2}. Give prob of sequence tkkt.\n' | b'1/45\n' | b'Four letters picked without replacement from {k: 8, t: 2}. Give prob of sequence tkkt.\n' | b'1/45\n' | deepmind/math_dataset |
b'Let h(j) be the first derivative of 5*j**8/56 + j**4/12 + 4*j - 3. Let k(v) be the first derivative of h(v). Find the third derivative of k(w) wrt w.\n' | b'600*w**3\n' | b'Let h(j) be the first derivative of 5*j**8/56 + j**4/12 + 4*j - 3. Let k(v) be the first derivative of h(v). Find the third derivative of k(w) wrt w.\n' | b'600*w**3\n' | deepmind/math_dataset |
b'Simplify (q*q**(-8))/(q*q/q**(-1))*(q/q**(-4))/q**(-3) assuming q is positive.\n' | b'q**(-2)\n' | b'Simplify (q*q**(-8))/(q*q/q**(-1))*(q/q**(-4))/q**(-3) assuming q is positive.\n' | b'q**(-2)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {t: 4, d: 1, v: 8}. What is prob of picking 1 t and 1 v?\n' | b'16/39\n' | b'Two letters picked without replacement from {t: 4, d: 1, v: 8}. What is prob of picking 1 t and 1 v?\n' | b'16/39\n' | deepmind/math_dataset |
b'Simplify ((s*s**(-4))/s*(s*(s/s**(-5)*s)/s)/s)**(2/45)/(s**(2/11)/s**(-2/15))**29 assuming s is positive.\n' | b's**(-896/99)\n' | b'Simplify ((s*s**(-4))/s*(s*(s/s**(-5)*s)/s)/s)**(2/45)/(s**(2/11)/s**(-2/15))**29 assuming s is positive.\n' | b's**(-896/99)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 v, 1 h, and 1 c when three letters picked without replacement from cjccvvjjcvccvcvjhc.\n' | b'5/102\n' | b'Calculate prob of picking 1 v, 1 h, and 1 c when three letters picked without replacement from cjccvvjjcvccvcvjhc.\n' | b'5/102\n' | deepmind/math_dataset |
b'Let r(s) be the third derivative of 11*s**5/60 + 5*s**4/24 - 74*s**3 - 443*s**2. Differentiate r(m) with respect to m.\n' | b'22*m + 5\n' | b'Let r(s) be the third derivative of 11*s**5/60 + 5*s**4/24 - 74*s**3 - 443*s**2. Differentiate r(m) with respect to m.\n' | b'22*m + 5\n' | deepmind/math_dataset |
b'Simplify ((h/h**0)**(25/3)/(h**0)**(-1/7))/((h*h**3*h*h**(-4)*h)/(h**(-2)/((h**1/h)/h))) assuming h is positive.\n' | b'h**(16/3)\n' | b'Simplify ((h/h**0)**(25/3)/(h**0)**(-1/7))/((h*h**3*h*h**(-4)*h)/(h**(-2)/((h**1/h)/h))) assuming h is positive.\n' | b'h**(16/3)\n' | deepmind/math_dataset |
b'What is prob of picking 3 c when three letters picked without replacement from chcchc?\n' | b'1/5\n' | b'What is prob of picking 3 c when three letters picked without replacement from chcchc?\n' | b'1/5\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {i: 2, s: 1, b: 1, k: 3, d: 3}. What is prob of sequence dbi?\n' | b'1/120\n' | b'Three letters picked without replacement from {i: 2, s: 1, b: 1, k: 3, d: 3}. What is prob of sequence dbi?\n' | b'1/120\n' | deepmind/math_dataset |
b'Let z(b) = b**3 - 10*b**2 + 9*b + 1. Suppose -n = 2*n - 27. Let v be z(n). Let d be 4 - (v - 0)/1. Solve d*a - 9 = 0, 4*i + 0*a + 3*a = 9 for i.\n' | b'0\n' | b'Let z(b) = b**3 - 10*b**2 + 9*b + 1. Suppose -n = 2*n - 27. Let v be z(n). Let d be 4 - (v - 0)/1. Solve d*a - 9 = 0, 4*i + 0*a + 3*a = 9 for i.\n' | b'0\n' | deepmind/math_dataset |
b'Let q(a) = a**3 + 1. Let j(w) = w**4 - 7*w**3 - 32. Let o(p) = j(p) - 5*q(p). Differentiate o(u) wrt u.\n' | b'4*u**3 - 36*u**2\n' | b'Let q(a) = a**3 + 1. Let j(w) = w**4 - 7*w**3 - 32. Let o(p) = j(p) - 5*q(p). Differentiate o(u) wrt u.\n' | b'4*u**3 - 36*u**2\n' | deepmind/math_dataset |
b'Simplify (o**3/((o**(-1/8)*o*o)/o))/(o**7/o**(1/2)) assuming o is positive.\n' | b'o**(-35/8)\n' | b'Simplify (o**3/((o**(-1/8)*o*o)/o))/(o**7/o**(1/2)) assuming o is positive.\n' | b'o**(-35/8)\n' | deepmind/math_dataset |
b'Let l(o) = -2*o - 5. Let p be l(-4). Let z be (3 - p) + 4/1. Let u(a) = -a**3 + 5*a**2 - 2*a + 3. Determine u(z).\n' | b'11\n' | b'Let l(o) = -2*o - 5. Let p be l(-4). Let z be (3 - p) + 4/1. Let u(a) = -a**3 + 5*a**2 - 2*a + 3. Determine u(z).\n' | b'11\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {b: 1, z: 1, p: 2, y: 2, a: 5, u: 2}. What is prob of sequence ypab?\n' | b'1/858\n' | b'Four letters picked without replacement from {b: 1, z: 1, p: 2, y: 2, a: 5, u: 2}. What is prob of sequence ypab?\n' | b'1/858\n' | deepmind/math_dataset |
b'Three letters picked without replacement from igggiii. What is prob of picking 3 i?\n' | b'4/35\n' | b'Three letters picked without replacement from igggiii. What is prob of picking 3 i?\n' | b'4/35\n' | deepmind/math_dataset |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.