0*d**6 + 0*d**4 + 0*d - 140*d**2 + 1/30*d**5 + 0*d**3 + 1/336*d**8. Find c, given that v(c) = 0.
-2, 0, 1
Suppose f + 28 = 2*f. Let a = -25 + f. Factor x**5 + 3*x**3 - x**a - 4*x**3 + x.
x*(x - 1)**2*(x + 1)**2
Suppose -550 = 13*w + 5027. Let x = w + 2149/5. Factor -2/5*b**2 + 2/5*b**3 + 0 - x*b.
2*b*(b - 2)*(b + 1)/5
Let i be 2 + (-435)/55 + -1*(-4 + -7). Solve -76/11*p**2 - 2/11*p**5 - 50/11*p**3 - 16/11*p**4 - 16/11 - i*p = 0.
-2, -1
Let l = -13/5 - -664/255. Let b(u) be the second derivative of l*u**6 + 0*u**3 - 1/51*u**4 + 0 + 0*u**5 + 1/17*u**2 + 8*u. Suppose b(i) = 0. What is i?
-1, 1
Let t = 229 + -183. Let 47*h**2 - 5*h**5 + 43*h**4 - 40*h**4 - 125*h**3 + t*h**4 + 21*h**4 + 13*h**2 = 0. Calculate h.
0, 1, 12
Suppose 0 = -6*o - 60 + 48. Let m(z) = 2*z**3 + z**2 - z + 1. Let t(d) = -9*d**3 - 32*d**2 + 22*d + 118. Let n(l) = o*m(l) - t(l). Let n(i) = 0. Calculate i.
-6, -2, 2
Let p(l) be the second derivative of l**5/15 + 4*l**4/3 - 18*l**3 + 136*l**2/3 + 2*l - 291. Find o, given that p(o) = 0.
-17, 1, 4
Suppose 4*f + 7 - 19 = 0. Factor -1540*u + 3087*u - u**f + 19*u**2 - 1565*u.
-u*(u - 18)*(u - 1)
Factor -13 - 467/3*u + 4*u**2.
(u - 39)*(12*u + 1)/3
Find f, given that -13/2*f**2 + 8 - 13*f**3 + 13*f - 3/2*f**4 = 0.
-8, -1, -2/3, 1
Let a = -307397 + 307399. Find y such that 12*y + 21/2 + 3/2*y**a = 0.
-7, -1
Let z(i) be the third derivative of i**5/12 - 25*i**4/4 + 180*i**3 + 853*i**2. Factor z(b).
5*(b - 18)*(b - 12)
Let x be ((-572)/55 + 12)/((-2)/(-11) + (-12)/(-55)). Find p such that -4/5*p**4 + 0 - 32/5*p - 8/5*p**2 + x*p**3 = 0.
-1, 0, 2, 4
Let c(r) be the third derivative of -5*r**2 + 1 - 17/16*r**4 - 1/80*r**5 + 0*r - 289/8*r**3. Find w, given that c(w) = 0.
-17
Find i, given that -26/3*i**4 + 0 + 222*i**2 - 10/3*i**3 + 216*i + 2/3*i**5 = 0.
-4, -1, 0, 9
Let w(b) be the second derivative of 28/3*b**4 - b**5 - 56/3*b**3 - 32*b**2 - 2 + 75*b. Solve w(t) = 0 for t.
-2/5, 2, 4
Suppose 4*s**5 + 3723*s + 643 - 15549*s**4 + 3430 + 927 + 2488*s**3 + 15749*s**4 - 592*s**2 - 10823*s = 0. What is s?
-25, -2, 1
Let c(u) = -u**3 + 324*u**2 - 3376*u - 51836. Let x(w) = 5*w**3 - 1295*w**2 + 13560*w + 207345. Let i(n) = -15*c(n) - 4*x(n). Factor i(f).
-5*(f - 36)**2*(f + 8)
Let r(v) = -v**3 - v**2 - v + 8. Let p(b) = -14*b**4 + 744*b**3 + 3762*b**2 + 3734*b - 1376. Let f(m) = -2*p(m) + 4*r(m). Let f(i) = 0. Calculate i.
-3, -2, 2/7, 58
Let h = -19424 + 19426. Let r(a) be the second derivative of 3/10*a**4 - 38/15*a**3 - 11*a + 0 + 8/5*a**h. Determine d so that r(d) = 0.
2/9, 4
Suppose 1/4*a**2 + 9138529/4 + 3023/2*a = 0. Calculate a.
-3023
Let n(u) be the third derivative of 8*u**2 + 0*u**3 + 0*u + 2 - 7/24*u**4 - 1/120*u**6 + 2/15*u**5. Suppose n(j) = 0. Calculate j.
0, 1, 7
Let i(p) be the first derivative of 94 + 5*p**2 - 5/2*p**4 + 12*p + 2/5*p**5 - 14/3*p**3. Find m such that i(m) = 0.
-1, 1, 6
Let o(l) be the third derivative of l**8/1680 - 3*l**7/350 - 67*l**6/600 - 17*l**5/100 + 21*l**4/20 - 2*l**2 + 1965. Determine h, given that o(h) = 0.
-3, 0, 1, 14
Let k = 40 + -36. Suppose 95 = 3*q + 2*q - k*p, -3*q + p = -50. Suppose -4 - 4*u**2 - u**2 - 3*u**3 + q*u + 2*u**2 - 5 = 0. What is u?
-3, 1
Let l(i) = i**3 + 23*i**2 - 137*i - 167. Let q(y) = 6*y**3 + 114*y**2 - 682*y - 834. Let f(x) = -11*l(x) + 2*q(x). Find t such that f(t) = 0.
-1, 13
Let m = -70 + 55. Let y be (1 - -3)*1/((-12)/m). Factor -4*z**2 + 8*z**y + 9*z**3 + 19*z**5 + 6*z**3 + 48*z**4 - 2*z**2.
3*z**2*(z + 1)**2*(9*z - 2)
Let s(r) be the third derivative of -r**7/70 + 27*r**6/10 + r**5/20 - 27*r**4/2 + 15*r**2 + 13. Factor s(h).
-3*h*(h - 108)*(h - 1)*(h + 1)
Let l(m) be the third derivative of -5*m**8/336 - 22*m**7/21 + 295*m**6/24 - 125*m**5/6 + 18*m**2 - 3. Suppose l(x) = 0. Calculate x.
-50, 0, 1, 5
Determine k, given that -656/7*k + 4/7*k**3 - 652/7*k**2 + 0 = 0.
-1, 0, 164
Let r(j) be the third derivative of -j**5/210 - j**4/42 + j**3/7 - 653*j**2. Let r(a) = 0. Calculate a.
-3, 1
Suppose -2*u + 564 = 40. Let y = 796/3 - u. Factor -y*k + 4/3*k**4 + 2/3 - 14/3*k**3 + 6*k**2.
2*(k - 1)**3*(2*k - 1)/3
Let h = -868 - -888. Let t(s) be the first derivative of -h - s**3 + 3/2*s**2 + 18*s. Factor t(w).
-3*(w - 3)*(w + 2)
Suppose -5*r + 3*r + r = 0. Suppose r = -l + 17 - 13. What is p in -825*p**3 - 300*p - 1060*p**2 - 306*p**4 + 290*p**2 - 40 - 9*p**l = 0?
-1, -2/3, -2/7
Let o(u) be the first derivative of -1/9*u**4 - 2/9*u**2 - 10/27*u**3 - 7 - 2*u + 1/5*u**5. Let v(n) be the first derivative of o(n). Factor v(z).
4*(z - 1)*(3*z + 1)**2/9
Let x(w) be the second derivative of w**4/108 + 4*w**3/3 + 671*w**2/18 + 18*w - 58. Factor x(a).
(a + 11)*(a + 61)/9
Let o(d) be the second derivative of -d**6/105 - d**5/5 + 215*d**4/42 - 200*d**3/7 - d - 2752. Solve o(k) = 0.
-24, 0, 5
Let v be 4/(-22) + (-1572)/(-7920) + 0. Let a(r) be the second derivative of -r + 0 + 0*r**2 + v*r**5 + 0*r**3 + 1/9*r**4. Factor a(z).
z**2*(z + 4)/3
Let p(v) be the second derivative of 5*v**4/12 + 625*v**3/6 + 915*v**2 + 4354*v. Suppose p(w) = 0. What is w?
-122, -3
Let l(v) be the first derivative of 3/4*v**4 - 12*v - 2*v**3 - 149 - 21/2*v**2. What is j in l(j) = 0?
-1, 4
Suppose -5*t + 10 = v, -3*t + 6 = 5*v - 0*v. Let l(u) = -6 + 0 + 5 + u**t + 0. Let g(z) = -2*z**4 + 10*z**2 - 8. Let y(c) = g(c) - 6*l(c). Factor y(r).
-2*(r - 1)**2*(r + 1)**2
Let p = 5167562/5 - 1033512. Factor -p*f**2 - 22/5*f - 48/5.
-2*(f + 3)*(f + 8)/5
Factor 90/7 + 2/7*w**2 + 92/7*w.
2*(w + 1)*(w + 45)/7
Let h = -10732 + 10738. Let f(y) be the first derivative of 14 - 3*y**2 - 1/2*y**3 - h*y. Determine z so that f(z) = 0.
-2
Let j(n) be the third derivative of 0*n**4 + 0*n**5 + 0 + 1/896*n**8 + 0*n - 3/280*n**7 + 0*n**3 + 9/320*n**6 + 47*n**2. Factor j(b).
3*b**3*(b - 3)**2/8
Let q(a) be the third derivative of a**6/180 - 11*a**5/90 - 25*a**4/36 - 13*a**3/9 - 1652*a**2. Find b such that q(b) = 0.
-1, 13
Factor n**3 + 2*n**3 + 226 + 49 + 470*n - 6*n**3 - 155*n**2 + 13*n**3.
5*(n - 11)*(n - 5)*(2*n + 1)
Let z = 433 + -276. Determine r, given that -5*r**2 - 6*r**4 - 5*r**5 + 11*r**4 + 25*r**3 - 40*r + 137 - z = 0.
-1, 2
Find g such that 0 - 1664/3*g**4 + 1676/3*g - 4/3*g**5 - 5024/3*g**2 + 1672*g**3 = 0.
-419, 0, 1
Let h(a) be the third derivative of -a**6/1080 + a**5/30 - 11*a**4/72 + 58*a**3/3 + 4*a**2 - 22*a. Let r(o) be the first derivative of h(o). Solve r(z) = 0.
1, 11
Let v be (-48)/60*-20 + -11. Let i(g) be the second derivative of -11/18*g**3 - v*g - 1/4*g**4 + 0 - 1/3*g**2. Factor i(b).
-(b + 1)*(9*b + 2)/3
Let x = -100 - -105. Factor 2*h**4 - 33*h**x - 12*h**3 + 24*h**5 + 11*h**5.
2*h**3*(h - 2)*(h + 3)
Let r(d) = -d**2 + 6*d + 14. Let s be r(6). Suppose 0*m - s = -7*m. Solve -3*b**5 + 5 + 74*b**4 - 89*b**4 + 10*b**3 + 10*b**m - 15*b + 8*b**5 = 0.
-1, 1
Suppose 6 = 3*w - 2*h, 3*w - 4*h - h = 6. Find f, given that -844*f**w + 2 + 848*f**2 + 6 + 12*f = 0.
-2, -1
Factor -12666*x**2 + 0*x**4 + 155*x**3 - 4*x**4 - 14394 + x**4 + 2487 + 24192*x + 229*x**3.
-3*(x - 63)**2*(x - 1)**2
Suppose -19*w = -18 + 29 - 49. Suppose 48/7*a**3 + 4/7*a**5 - 22/7*a**4 + 4*a - 52/7*a**w - 6/7 = 0. Calculate a.
1, 3/2
Let x(r) be the third derivative of r**6/30 - 17*r**5/10 - 23*r**4/2 - 56*r**3/3 - 1594*r**2. Determine m so that x(m) = 0.
-2, -1/2, 28
Let g(a) = 78*a - 700. Let j be g(9). Let d(y) be the first derivative of -10/51*y**3 + 4 + 2/17*y + 4/17*y**j. Factor d(u).
-2*(u - 1)*(5*u + 1)/17
Let q be (-3)/(1/(-60)*-9). Let x be ((-12)/35)/(1 - (-28)/q). Let -2/7*j**2 + x*j**3 - 2/7*j**4 - 6/7*j + 4/7 = 0. Calculate j.
-1, 1, 2
Let g(m) = -4*m**2 + 2*m + 14. Let v be g(0). Suppose v*r - 44 = 12. Solve 0*b + 4/3*b**3 + 2*b**r + 0 + 2/3*b**5 + 0*b**2 = 0 for b.
-2, -1, 0
Let t = 151703/6132 - -16/1533. Determine f so that 12*f**5 + 42*f**4 + 0 + t*f**3 - 21*f**2 + 3*f = 0.
-2, 0, 1/4
Find i, given that -74*i + 15*i**4 - 3475*i - 2238*i**2 + 3*i**5 + 1230*i**3 - 1524*i**3 - 1617 = 0.
-7, -1, 11
Let s(c) = 5*c**3 - 466*c**2 - 1409*c - 926. Let b(h) = -105*h**3 + 9785*h**2 + 29590*h + 19450. Let w(q) = -6*b(q) - 125*s(q). Solve w(u) = 0.
-2, -1, 95
Let x(i) = i**3 + 28*i**2 - 57*i + 76. Let l be x(-30). Let v be 8/(-15)*(4 + 77/l). Suppose v + 4/5*k - 4/5*k**3 - 4/5*k**2 = 0. Calculate k.
-1, 1
Let j(f) be the second derivative of f**4/84 