2*w. Factor 1/11*r**s + 0 + 3/11*r.
r*(r + 3)/11
Let k(j) be the second derivative of -j**4/18 - 76*j**3/9 - 25*j**2 + 14*j + 8. Factor k(d).
-2*(d + 1)*(d + 75)/3
Factor -3/4*v**3 + 3 - 3/4*v**2 + 3*v.
-3*(v - 2)*(v + 1)*(v + 2)/4
Let r(y) be the first derivative of y**5/5 + y**4/4 - 2*y**3 - 2*y**2 + 8*y + 547. Suppose r(f) = 0. What is f?
-2, 1, 2
Let l(d) be the third derivative of 2*d**7/105 + d**6/120 - 4*d**5/15 - d**4/6 + 2*d**2 + 36*d. Factor l(p).
p*(p - 2)*(p + 2)*(4*p + 1)
Let f be 6/1*21/42. Suppose -9 = -5*p + a - 3, 5*a = -f*p + 26. Solve -3/4*k**3 + k + 0*k**p + 0 + 1/4*k**4 = 0 for k.
-1, 0, 2
Let f(o) = 2*o**2 + 100*o - 206. Let l be f(-52). Let -3/2*n**5 + 0*n + 15/2*n**4 - 12*n**3 + 6*n**l + 0 = 0. What is n?
0, 1, 2
Let q(o) = -12*o**2 + 56*o + 100. Let d(p) = 333*p + 326*p + p**2 - 660*p. Let w(b) = -16*d(b) - q(b). Factor w(l).
-4*(l + 5)**2
Let k(u) be the third derivative of u**7/490 - u**6/70 + 3*u**5/70 - u**4/14 + u**3/14 + 36*u**2. Determine x, given that k(x) = 0.
1
Let p(g) be the second derivative of -529*g**5/10 + 207*g**4/2 - 32*g**3 + 4*g**2 - 403*g. Factor p(m).
-2*(m - 1)*(23*m - 2)**2
Let u = 93 - 89. Find i, given that -8*i**3 - 16*i**2 - 33*i**4 + 4*i + 20*i**4 + 8 + 4*i**5 + 21*i**u = 0.
-2, -1, 1
Suppose c = -3*c - 3*b - 32, 3*c + 31 = -4*b. Let k(x) = x**2 + 9*x + 24. Let u be k(c). What is i in -2/5*i**2 - 4/5*i**3 - 2/5*i**u + 0*i + 0 = 0?
-1, 0
Let h = -9042/7 - -1292. Let d be (-2)/35*10/(-2). Find l, given that -2/7*l**3 + h*l + 2/7*l**2 - d = 0.
-1, 1
Let m be (-13)/(-4) - (-1)/(-4). Suppose -m*q + 126 = 3*j - 3, q = -3. Find z, given that 3*z + j*z**2 + 3*z - 43*z**2 = 0.
-2, 0
Let y(f) = f**3 - 28*f**2 + 48*f + 109. Let h be y(26). Let -11/4*d**2 - 1 - 3*d + 3/4*d**4 + 1/4*d**h - 1/4*d**3 = 0. What is d?
-2, -1, 2
Let o(a) be the second derivative of a**5/80 + a**4/24 - a**3/24 - a**2/4 - 97*a + 2. Find p such that o(p) = 0.
-2, -1, 1
Let s(j) = j + 4. Let h be s(8). Let w = h - 10. Factor -5 + 5 - 2*g + 3*g**3 + g**w.
g*(g + 1)*(3*g - 2)
Let z = -1285 + 1287. Factor 0*c + 0 + 3/2*c**3 + 9*c**z.
3*c**2*(c + 6)/2
Let w(i) be the second derivative of i**5/4 - 5*i**4/4 - 11*i + 2. Factor w(f).
5*f**2*(f - 3)
Let x(l) be the second derivative of -26*l - l**4 + 0*l**2 + 1/5*l**5 + 0*l**3 + 0. Factor x(v).
4*v**2*(v - 3)
Solve 3044*l**3 - 20 - 3045*l**3 - 8*l**2 + 17*l**2 + 12*l = 0 for l.
-2, 1, 10
Factor 32 + 1/3*f**2 + 97/3*f.
(f + 1)*(f + 96)/3
Let w(g) = -g**3 - 12*g**2 - 21*g - 10. Let q be (-2 - (-20)/6)*(-120)/16. Let r be w(q). Factor -8/11*a**2 + 2/11*a**3 + 8/11*a + r.
2*a*(a - 2)**2/11
Suppose 3*r + 4*g = 3*g + 78, 84 = 3*r + 3*g. Solve 9 + 0 - 5*t**2 - r*t - 29 = 0.
-4, -1
Let l = -33 + 55. Solve 37*p**5 - 19*p**5 - 16*p**3 + 32*p - 64*p**2 + l*p**4 + 26*p**4 = 0.
-2, 0, 2/3
Let h = 14651/4 - 3659. Factor 3*o + 3/4*o**3 + 0 + h*o**2.
3*o*(o + 1)*(o + 4)/4
Let u(v) be the second derivative of 0 - 1/72*v**4 + 2/3*v**3 - 12*v**2 + 38*v. Factor u(p).
-(p - 12)**2/6
Find f, given that 0 + 0*f - 2/9*f**2 + 2/9*f**3 = 0.
0, 1
Let i(p) = 2*p**3 + 25*p**2 - 120*p + 186. Let q(g) = 5*g**3 + 75*g**2 - 361*g + 553. Let s(a) = -8*i(a) + 3*q(a). Factor s(v).
-(v - 19)*(v - 3)**2
Let r(w) be the first derivative of -9*w**4/4 - 34*w**3/3 - 19*w**2/2 + 6*w + 29. Solve r(g) = 0 for g.
-3, -1, 2/9
Let x(w) = w**3 - w**2 + w + 1. Suppose -15 + 31 = -4*j. Let i(h) = h**4 - 13*h**3 + 10*h**2 - 9*h - 11. Let o(s) = j*i(s) - 44*x(s). Factor o(z).
-4*z*(z - 2)*(z - 1)*(z + 1)
Let g be (-8)/6*((-45)/(-60))/(5/(-2)). Solve 28/5*b + 98/5 + g*b**2 = 0.
-7
Suppose 44 + 61 = -5*m. Let w(c) = c**2 - c - 1. Let u(j) = 8*j**2 - 6*j - 13. Let t(x) = m*w(x) + 3*u(x). Factor t(q).
3*(q - 2)*(q + 3)
Let t(v) be the second derivative of 5*v**4/12 - 5*v**3/2 - 25*v**2 - 71*v. Find s such that t(s) = 0.
-2, 5
Suppose 3*g + 21 = 4*g. Let u = g - 19. Factor -2*r + u + 7*r + 4 - 7*r**2 - 4.
-(r - 1)*(7*r + 2)
Suppose 5*d = 10, 4*r + 0*d - 1020 = -4*d. Let q = -757/3 + r. Factor 2/3*c**2 - 2/3*c**3 + 0*c + 0 + q*c**5 - 2/3*c**4.
2*c**2*(c - 1)**2*(c + 1)/3
Suppose -18*w = -1411 - 659. Let v = w + -113. Factor -3/4*y**v + 1/4*y**4 + 0*y**3 + 0 - 1/2*y.
y*(y - 2)*(y + 1)**2/4
Suppose -5*t = -2*t. Suppose 4*o - 4 = 4*z, 2*o + 2*z - 5*z = t. Factor v - 2*v**2 + v**2 - 3*v - o + 2.
-(v + 1)**2
Let o(h) be the second derivative of -h**6/120 + h**5/15 + 5*h**4/24 + 8*h**2 + 31*h. Let g(z) be the first derivative of o(z). Determine f so that g(f) = 0.
-1, 0, 5
Let g(i) be the second derivative of 0 + 4*i + 1/35*i**5 - 8/21*i**3 + 2/21*i**4 - 16/7*i**2. Factor g(v).
4*(v - 2)*(v + 2)**2/7
Let q(x) = x**3 + 15*x**2 - 3*x - 43. Let y be q(-15). Solve -3*k**3 + 0*k - 6/7*k**y + 0*k**4 + 27/7*k**5 + 0 = 0 for k.
-2/3, -1/3, 0, 1
Find t such that 1083 - 16*t**2 + 32*t**2 - 13*t**2 + 114*t = 0.
-19
Let f(c) be the third derivative of c**10/30240 - c**9/3024 + 5*c**8/4032 - c**7/504 - c**5/12 - 6*c**2. Let l(t) be the third derivative of f(t). Factor l(m).
5*m*(m - 2)*(m - 1)**2
Let x = -236 - -1181/5. Let u(o) be the first derivative of -x*o**3 + 3/5*o - 3 + 0*o**2. Factor u(v).
-3*(v - 1)*(v + 1)/5
Let y(j) be the third derivative of -j**6/480 - j**5/48 + 3*j**4/32 + 15*j**3/8 + 7*j**2 + 35*j. Let y(o) = 0. Calculate o.
-5, -3, 3
Let m(f) be the third derivative of -1/24*f**4 + 0*f + 1/120*f**5 + 23*f**2 + 0 - 2/3*f**3. Factor m(o).
(o - 4)*(o + 2)/2
Let s = 5253 + -10503/2. Solve s*t**2 - 3/2*t - 3 = 0.
-1, 2
Let n = -3963/4 + 997. Let z = n - 19/4. Factor 0 + 15/4*i**4 + 21/4*i**2 - 27/4*i**3 - 3/4*i**5 - z*i.
-3*i*(i - 2)*(i - 1)**3/4
Let q(l) = 10*l**2 + 48*l + 52. Let d(f) = 46*f**2 + 192*f + 209. Let w(c) = -2*d(c) + 9*q(c). Solve w(b) = 0.
-1, 25
Let j(m) be the second derivative of -m**6/20 - m**5/20 + m**4/8 + m**3/6 + 320*m. Factor j(t).
-t*(t - 1)*(t + 1)*(3*t + 2)/2
Let h(m) be the third derivative of -1/18*m**4 + 1/90*m**5 + 0 + 0*m**3 + 8*m**2 + 1/180*m**6 + 0*m. Factor h(s).
2*s*(s - 1)*(s + 2)/3
Let i(k) be the second derivative of k**4/42 + 3*k**3/7 - 157*k. Factor i(z).
2*z*(z + 9)/7
Let n(f) = f**3 - f**2 - f + 2. Let x(q) = 4*q**4 + 7*q**3 - 7*q**2 - 7*q + 6. Let u(i) = -3*n(i) + x(i). Factor u(v).
4*v*(v - 1)*(v + 1)**2
Suppose 0 = -3*r - 2*h + 1 + 14, 4*r = -6*h + 30. Let c(m) be the first derivative of 2/15*m**r - 1/5*m**2 + 8 - 4/5*m. Find x such that c(x) = 0.
-1, 2
Let o(c) be the first derivative of c**5/390 + 17*c**4/78 + 289*c**3/39 - 15*c**2 - 54. Let w(r) be the second derivative of o(r). Factor w(u).
2*(u + 17)**2/13
Let y = -248111177/1298 - -191149. Let g = 1/118 + y. Determine c so that -2/11*c**5 + 2/11 - 4/11*c**2 - g*c + 4/11*c**3 + 2/11*c**4 = 0.
-1, 1
Let l(r) be the first derivative of -35*r**6/6 + 23*r**5 + 5*r**4/4 - 115*r**3/3 + 15*r**2 - 62. Let l(p) = 0. Calculate p.
-1, 0, 2/7, 1, 3
Let g(h) be the first derivative of -h**5/35 + h**4/7 - 2*h**3/21 - 2*h**2/7 + 3*h/7 - 46. Determine w, given that g(w) = 0.
-1, 1, 3
Let w(n) be the second derivative of 3*n**5/20 - n**4/4 - 21*n**3/2 + 135*n**2/2 - n + 27. Determine f, given that w(f) = 0.
-5, 3
Let n(s) = -3*s**3 - 186*s**2 - 438*s - 282. Let a(h) = h**3 + 53*h**2 + 125*h + 81. Let i(t) = 18*a(t) + 5*n(t). Let i(y) = 0. What is y?
-4, -2
Let i(r) be the third derivative of -r**7/1575 + r**6/180 - 4*r**5/225 + r**4/45 - 64*r**2 - 2*r. Factor i(y).
-2*y*(y - 2)**2*(y - 1)/15
Let a(i) = i**2 + 4*i - 9. Let h = -8 + 2. Let s be a(h). Factor k**3 + s*k - k**2 - 12*k + 7*k.
k*(k - 2)*(k + 1)
Suppose -13*d + 1 - 1 = 0. Find k, given that 0*k + 0*k**2 + d + 0*k**4 + 3/8*k**3 - 3/8*k**5 = 0.
-1, 0, 1
Suppose 26 = 3*h + 17. Let u(r) be the second derivative of -r**2 + 1/5*r**5 + 3/2*r**h + 0 + 6*r - r**4. Find b such that u(b) = 0.
1/2, 2
Let b(o) be the first derivative of -o**4/12 + 23*o**3/30 + o**2 - 7*o + 15. Let w(u) be the first derivative of b(u). Let w(h) = 0. What is h?
-2/5, 5
Let g(t) be the third derivative of -t**6/720 - t**5/60 - t**4/16 - t**3/9 + 10*t**2 - 2. Find u, given that g(u) = 0.
-4, -1
Let l be (2048/(-70))/((-244)/610). Factor 32/7*m**3 + 192/7*m**2 + 2/7*m**4 + 512/7 + l*m.
2*(m + 4)**4/7
Let y be 36/16 + -3 - 3/(-4). Determine d so that y*d**2 - 2/3*d**3 + 0*d + 0 = 0.
0
Let u(q) be the third derivative of 0 + 9/2*q**3 - 7*q**