+ 27. Let o(c) be the second derivative of 2/15*c**4 - 13*c + 0 + 11/15*c**r - 3/5*c**2. Factor o(d).
2*(d + 3)*(4*d - 1)/5
Solve 0 + 1/2*r + 1/2*r**2 = 0 for r.
-1, 0
Determine y, given that -60*y**3 + 55*y**4 - 3*y**5 + 3*y**5 - 3*y + 20*y**5 - 28*y**2 + 11*y - 59*y**4 = 0.
-1, 0, 1/5, 2
Let k be (-21)/6*20/(-35). Solve -2*g + 3*g**5 + 4*g + 6*g**4 - 5*g - 6*g**k = 0 for g.
-1, 0, 1
Let z be ((-2)/(-18) + 2)*(-24)/(-20). Let g = -7/3 + z. Factor 1/5*j**3 - g + 3/5*j - 3/5*j**2.
(j - 1)**3/5
Let t(v) be the second derivative of -1/5*v**6 + 0*v**2 - 8/3*v**4 + 6/5*v**5 + 0 + 0*v**3 - 20*v + 1/84*v**7. Suppose t(a) = 0. What is a?
0, 4
Let z(w) be the first derivative of -7*w**2 + 8/3*w**3 + 28 + 2*w**4 + 4*w. Let z(m) = 0. What is m?
-2, 1/2
Let u = -35 - -45. Determine f so that -u*f + 8*f**2 - 12*f**3 + 10*f**3 - 1 + 5 = 0.
1, 2
Suppose -5*s - o + 12 = 0, 5*s = -7*o + 10*o + 24. What is b in -2/5*b**s + 2/5*b + 0*b**2 + 0 = 0?
-1, 0, 1
Let i(j) be the second derivative of -j**4/4 - 2*j**3 - 9*j**2/2 + 136*j. Find p such that i(p) = 0.
-3, -1
Suppose 1396*h - 1384*h = 36. Let x(u) be the first derivative of -2/5*u**5 + 2/3*u**h - 1/3*u**6 + 0*u - 6 + 0*u**2 + 1/2*u**4. Factor x(b).
-2*b**2*(b - 1)*(b + 1)**2
Let c = -16 + 76. Factor c*w**4 + 19*w**2 - 44*w**3 + 5*w**2 + 32*w - 72*w**4.
-4*w*(w - 1)*(w + 4)*(3*w + 2)
Let v(q) be the third derivative of 1/3*q**3 - 2*q**2 - 1/8*q**4 + 1/60*q**5 + 0*q + 0. Factor v(s).
(s - 2)*(s - 1)
Let o = 1619 - 1616. Factor 0 - 48/7*q - 24/7*q**2 - 3/7*q**o.
-3*q*(q + 4)**2/7
Factor 0 - 11/7*k**2 + 3/7*k**4 + 1/7*k**5 - 3/7*k**3 - 6/7*k.
k*(k - 2)*(k + 1)**2*(k + 3)/7
Let f(v) be the third derivative of 2*v**3 - 3/20*v**5 + 0 + 1/40*v**6 + 0*v + 0*v**4 + 10*v**2. Factor f(c).
3*(c - 2)**2*(c + 1)
Let m(u) be the second derivative of 2*u**7/35 + u**6/15 - u**5/5 - u**4/3 + 15*u**2/2 - 10*u. Let t(c) be the first derivative of m(c). What is z in t(z) = 0?
-1, -2/3, 0, 1
Let i(v) be the first derivative of v**3/2 + 363*v**2/4 + 180*v - 342. Factor i(z).
3*(z + 1)*(z + 120)/2
Factor -3*s - 1/9*s**3 + 27 - 5/3*s**2.
-(s - 3)*(s + 9)**2/9
Factor -4/5*b**3 + 0*b + 1/5*b**4 - 4/5*b**2 + 1/5*b**5 + 0.
b**2*(b - 2)*(b + 1)*(b + 2)/5
Let c(a) be the third derivative of 1/14*a**3 + 1/56*a**4 - 1/140*a**5 + a**2 + 0*a - 1/280*a**6 + 0. Factor c(x).
-3*(x - 1)*(x + 1)**2/7
Let y be (-1 + 4)*(-12)/(-18). Factor 114*i**y - 119*i**2 + 5*i + 3 + 7.
-5*(i - 2)*(i + 1)
Let x be 112/140*10/4. Let z(h) be the first derivative of -12 + 0*h + 6*h**2 + 0*h**3 - 32/45*h**5 - x*h**4 - 2/27*h**6. Factor z(j).
-4*j*(j - 1)*(j + 3)**3/9
Let q be (4 - (8 - -3))*-1. Suppose -28 = -q*p + 5*p. Factor 2*o**4 - p*o**3 - 13*o**4 - 2*o**2 + 6*o**2 - 7*o**4.
-2*o**2*(o + 1)*(9*o - 2)
Let o(d) be the second derivative of -d**4/54 - 100*d**3/27 + 68*d**2/3 - 442*d. Suppose o(y) = 0. Calculate y.
-102, 2
Let j(t) be the first derivative of -50*t**3/3 - 140*t**2 - 392*t + 131. Factor j(r).
-2*(5*r + 14)**2
Let i(k) be the first derivative of 0*k**2 - 2/5*k**5 - 1 + 0*k - 1/3*k**3 - 3/4*k**4. Find y, given that i(y) = 0.
-1, -1/2, 0
Find v, given that -9*v**5 - 48*v**2 - 27*v**4 + 7*v**5 - v**5 + 72*v**3 + 6*v**5 = 0.
0, 1, 4
Let y be -2 - (1 - (4 - 1)). Suppose 0 = 2*q + 3*v - 1, y = -4*q + 4*v - 6 + 18. Find f, given that 2*f**3 - 2*f**5 - f**3 - f**2 + 0*f**q + f**5 + f**4 = 0.
-1, 0, 1
Let b(n) be the first derivative of -7/5*n**2 + 4/25*n**5 - 4/5*n - 16/15*n**3 + 1/15*n**6 - 1/5*n**4 + 20. Suppose b(m) = 0. Calculate m.
-1, 2
Let m(v) be the first derivative of -v**5/40 + 11*v**4/16 + v**3 - 11*v**2/8 - 23*v/8 + 431. Let m(y) = 0. Calculate y.
-1, 1, 23
Factor -1/7*s**2 - 1/7 + 2/7*s.
-(s - 1)**2/7
Find r, given that 23*r - 4*r**2 + 16*r - 43*r + 48 = 0.
-4, 3
Suppose 3*r - 5*q = 61, 4*r - q - 38 = 32. Suppose -r*i + 6 = -16*i. Factor 3/2*a + 0 - i*a**2 + 15/2*a**3 - 3*a**4.
-3*a*(a - 1)**2*(2*a - 1)/2
Let k = -49771 + 49771. Let -1/9*n**3 + 2/3*n + k + 5/9*n**2 = 0. Calculate n.
-1, 0, 6
Suppose -4*w = 5*u - 732, -5*w = u + u - 286. Let s = -148 + u. Factor 2/9*n**3 - 2/9*n + 0 + s*n**2.
2*n*(n - 1)*(n + 1)/9
Suppose -j - 12 = -2*f, -4*j - 20 = j. Let q be (-1 + 3)/f - (-3)/2. Solve 3/4*y**3 + 3/4*y**q - 3/4*y - 3/4 = 0.
-1, 1
Determine n so that -n**2 + 6 - 1/2*n**3 + 11/2*n = 0.
-4, -1, 3
Let s be 1/2 - 0 - 31/(-2). Let l be s/(-10) + -2*(5 + -6). Let 0 - 2/5*j**2 + 0*j - l*j**3 = 0. What is j?
-1, 0
Let g = 42 + -38. Determine n so that 11*n**2 + 6*n**2 + 2*n**4 + n**2 - 14*n - 10*n**3 + g = 0.
1, 2
Let n(k) be the second derivative of k**7/630 - k**6/180 + 7*k**4/12 + 12*k. Let f(u) be the third derivative of n(u). Suppose f(d) = 0. What is d?
0, 1
Suppose 0 = -3*a - 9 + 33. Let w(s) = -s**3 + 7*s**2 + 10*s - 12. Let u be w(a). What is f in -2*f**2 - 2*f**3 - 4*f**2 + 0*f - u - 10*f - 2*f**2 = 0?
-2, -1
Let u(j) be the first derivative of j**6/21 - 2*j**5/35 - j**4/14 + 2*j**3/21 - 11. Determine a so that u(a) = 0.
-1, 0, 1
Let p(x) = 1532*x**2 - 167*x + 4. Let f(m) = -m**2 + m. Let y(o) = 44*f(o) + 4*p(o). Factor y(w).
4*(39*w - 2)**2
Let j(n) be the third derivative of n**5/420 + n**4/14 + 11*n**3/42 + n**2 + 59*n. Suppose j(y) = 0. Calculate y.
-11, -1
Let b be (1*4/(-3))/(4/(-204)). Solve b*f**2 + 94*f - 38*f**4 + 4*f**3 - 84*f**3 - 50*f**4 - 14*f**5 + 20 = 0.
-5, -1, -2/7, 1
Let z be (4/(-6))/(8/(-84)). Let f(s) = -3*s**4 - 5*s**3 + 9*s. Let v(y) = y**4 + 3*y**3 - 5*y. Let p(h) = z*v(h) + 3*f(h). Factor p(a).
-2*a*(a - 2)**2*(a + 1)
Let r(j) be the third derivative of -1/12*j**4 + 10*j**2 + 0*j - 1/30*j**5 + 0 + 0*j**3. Find t such that r(t) = 0.
-1, 0
Let q be ((-418)/4180)/((-6)/220). Let 1/3*k**4 + 0 - 2*k - q*k**2 - 4/3*k**3 = 0. Calculate k.
-1, 0, 6
Let r(h) be the third derivative of h**7/105 - 26*h**6/15 + 433*h**5/5 + 1378*h**4/3 + 2809*h**3/3 - 11*h**2 + 14. Let r(g) = 0. Calculate g.
-1, 53
Let t(j) be the third derivative of -j**6/24 + 65*j**5/12 + 55*j**4/4 + 47*j**2. Factor t(b).
-5*b*(b - 66)*(b + 1)
Let z(h) = -5*h**2 - 394*h + 81. Let l be z(-79). Factor -4/3*n - 2/3*n**3 - l*n**2 + 0.
-2*n*(n + 1)*(n + 2)/3
Let p(s) = -2*s**2 - 35*s - 60. Let k be p(-15). Let v be k/6 - (-51)/(-22). Factor 8/11 + v*x**2 + 8/11*x.
2*(x + 2)**2/11
Suppose 0 = -49*m + 13*m + 150 + 174. Let m*c**3 + 0*c**2 + 3/2*c**4 + 0 + 0*c = 0. What is c?
-6, 0
Let z(w) be the second derivative of -2/3*w**3 + 1/3*w**4 - 5*w + 0 - 1/15*w**5 + 3/2*w**2. Let p(a) be the first derivative of z(a). Let p(x) = 0. Calculate x.
1
Let y = -983/6 + 164. Let u(z) be the second derivative of 2*z**2 - y*z**4 + z + 0 - 1/3*z**3. Factor u(h).
-2*(h - 1)*(h + 2)
Suppose -5*f + 10*f = 30. Suppose -l + f*l - 4*d - 34 = 0, -2*l = d - 11. Factor 16*p + l*p**2 + 3 - 10*p + 0 - 3*p**2.
3*(p + 1)**2
Let w(t) be the first derivative of 3/5*t**5 + 13*t**3 - 18*t**2 + 15 - 9/2*t**4 + 12*t. Factor w(v).
3*(v - 2)**2*(v - 1)**2
Let g(f) be the first derivative of -f**6/20 - 8*f - 8. Let d(x) be the first derivative of g(x). Factor d(u).
-3*u**4/2
Let p(z) be the first derivative of -z**4/10 - 2*z**3/15 + 2*z**2/5 - 276. Suppose p(k) = 0. What is k?
-2, 0, 1
Let z(j) = -19*j**5 - 38*j**4 - 52*j**3 - 27*j**2 + 19*j - 13. Let a(y) = -y**4 + y**3 + 2*y**2 - y + 1. Let p(u) = -39*a(u) - 3*z(u). Factor p(b).
3*b*(b + 1)**3*(19*b - 6)
Suppose 0 = 5*k - 6 + 11, 4*k = -4*q + 24. Determine f, given that -9 - 13*f - 2*f**3 + 6*f**3 + 1 + 4*f**4 - 12*f**2 - q*f = 0.
-1, 2
Let d(a) be the first derivative of a**8/2688 - a**7/1680 - a**6/320 + a**5/96 - a**4/96 + 4*a**2 + 41. Let c(k) be the second derivative of d(k). Factor c(w).
w*(w - 1)**3*(w + 2)/8
Suppose -b - 4*r + 10 = 0, 0 = 5*b + 4*r - 38 - 12. Let v(t) = 3*t - 27. Let c be v(b). Factor -4/3*z**2 + 2/3*z**c + 2/3*z + 0.
2*z*(z - 1)**2/3
Let q = -41730810150/1603 + 26032946. Let g = q + 2/1603. What is h in -2/7*h**3 + g*h**2 - 6/7*h + 0 - 2/7*h**4 = 0?
-3, 0, 1
Suppose -4*l = 3*d - 1462 + 1483, 2*l = 5*d + 35. Solve -8/3*g**2 + 4/3*g**3 + l*g + 0 = 0.
0, 2
Suppose -12983 = 35*p - 13123. Suppose 50/7*w + 12/7 + 6*w**2 - 6/7*w**p - 2/7*w**3 = 0. What is w?
-2, -1, -1/3, 3
Let n(t) be the third derivative of 1/30*t**7 + 0*t + 1/12*t**4 - 7/60*t**5 - 12*t**2 - 1/60*t**6 + 0*t**3 + 0. Find b such that n(b) = 0.
-1, 0, 2/7, 1
Factor 3