pose 11 - 81 = -14*b. Factor -18*p**5 + 2*p + 3*p**3 + 87*p**4 + b*p**2 - 88*p**4 + 17*p**5.
-p*(p - 2)*(p + 1)**3
Let j(c) = c**5 - 3*c**4 + c**2 + c. Let q(u) = -7*u**5 + 17*u**4 + 17*u**3 + 11*u**2 - 22*u - 16. Let k(s) = -6*j(s) - q(s). Determine h so that k(h) = 0.
-4, -1, 1, 4
Let y(q) be the first derivative of -q**7/105 + q**6/75 + q**5/25 + 20*q + 54. Let p(x) be the first derivative of y(x). Solve p(f) = 0 for f.
-1, 0, 2
Let g be 320/520*(-10)/(-10). Factor 2/13 + g*n**2 + 8/13*n.
2*(2*n + 1)**2/13
Let h(o) be the third derivative of o**8/392 + 5*o**7/147 + 13*o**6/210 - 3*o**5/35 - 29*o**4/84 - o**3/3 - 9184*o**2. Let h(x) = 0. What is x?
-7, -1, -1/3, 1
Let b(g) = 12*g**3 - 15*g**2 + 9*g - 6. Let t(v) = -12*v**3 + 16*v**2 - 8*v + 4. Suppose 2*f + 10*f + 48 = 0. Let r(o) = f*b(o) - 5*t(o). Factor r(i).
4*(i - 1)**2*(3*i + 1)
Let m(s) be the first derivative of -10*s**6/3 - 16*s**5/5 + 45*s**4 + 64*s**3/3 - 152*s**2 - 192*s - 5816. Find g, given that m(g) = 0.
-3, -1, -4/5, 2
Let y(i) be the first derivative of 5*i**4 - 16*i + 4*i**3 + 4/5*i**5 - 10*i**2 - 23. Factor y(q).
4*(q - 1)*(q + 1)**2*(q + 4)
Let s(r) be the third derivative of -47 - 1/3*r**4 + 1/20*r**6 + 1/168*r**8 + 0*r - 2/15*r**5 + 4/105*r**7 + 0*r**3 + r**2. Factor s(v).
2*v*(v - 1)*(v + 1)*(v + 2)**2
Suppose 20 - 29 = -3*l + 3*x, 0 = l - 2*x - 4. Factor 5*v - 2*v**3 - 1827*v**2 + 3*v + 1821*v**l.
-2*v*(v - 1)*(v + 4)
Suppose 9012441*g + 7457*g**2 - 36429*g + 4531*g**2 + 4*g**3 - 8988004 = 0. Calculate g.
-1499, 1
Let r(h) = 38*h + 421. Let l be r(-11). Find b, given that -24*b**3 + 36459*b**2 + 384*b**3 + 460*b**l - 2839*b**2 + 5*b**4 = 0.
-82, 0
Let i(v) be the third derivative of v**5/140 - 3*v**4/4 + 185*v**3/14 - 1359*v**2. Factor i(q).
3*(q - 37)*(q - 5)/7
Let o(w) be the first derivative of -w**8/126 + 31*w**7/315 + 2*w**6/45 - 3*w**2/2 - 11*w + 132. Let l(x) be the second derivative of o(x). Factor l(h).
-2*h**3*(h - 8)*(4*h + 1)/3
Let j(h) = 2*h**2 - 24*h + 1. Let o be j(12). Let t be (o - 54/56)/((-52)/(-416)). Determine d so that -14 - 4*d - t*d**2 = 0.
-7
Let x(l) be the second derivative of -7*l**3/2 + 55*l**2 - 209*l. Let m be x(5). Let -35*b**3 + 95/4*b + m - 50*b**4 + 45/2*b**2 = 0. Calculate b.
-1/2, 4/5
Let c = -89682 + 89684. What is b in -8/3 - 4/9*b**c + 28/9*b = 0?
1, 6
Find t, given that -528/7 - 507/7*t + 3*t**2 = 0.
-1, 176/7
Let v be 4/(-42) + (-220)/(-105). Let m be (v - (-26)/(-16)) + 99/24. Factor -21/8*r**2 - m - 3/8*r**3 - 6*r.
-3*(r + 2)**2*(r + 3)/8
Let k(j) = -60*j**3 + 2280*j**2 + 173266*j + 4389746. Let v(t) = -13*t**3 + 456*t**2 + 34653*t + 877949. Let s(g) = -6*k(g) + 28*v(g). Factor s(h).
-4*(h + 76)**3
Let a(t) be the second derivative of -t**7/21 - 2149*t**6/15 - 230695*t**5/2 + 1155625*t**4/6 + 1511*t - 1. Factor a(o).
-2*o**2*(o - 1)*(o + 1075)**2
Let q(p) be the first derivative of 0*p**2 + 0*p - 9 - 115/9*p**3 - 5/12*p**4. Find o such that q(o) = 0.
-23, 0
Let k be (88/231)/(120/588*14). Factor -8/15*w + k*w**2 - 2/3.
2*(w - 5)*(w + 1)/15
Let y(o) = -o**3 + 6*o**2 + 9*o + 9. Let r be y(7). Suppose 0 = -2*n - r + 29. Find l, given that -n*l - 5*l**2 - 5 + 2*l - 9*l = 0.
-1
Let a(u) be the third derivative of -u**6/780 + 77*u**5/195 - 37*u**4 - 312*u**3 + 4*u**2 + 552*u. Let a(k) = 0. What is k?
-2, 78
Let v(d) = d**3 - d**2 + d + 1. Let z(n) = 10 - 5*n - 5*n**2 - 33 - 8 - 37*n - 8*n**3. Let c(s) = -35*v(s) - 5*z(s). Determine i, given that c(i) = 0.
-8, -3, -1
Let f = -44797 - -313595/7. Solve f*g + 5/7*g**3 + 17/7*g**2 + 4/7 = 0.
-2, -1, -2/5
Suppose 187 - 21 = 2*s. Let r = -79 + s. Find b such that 3*b**3 + 13*b**4 + 12*b**4 + 12*b**3 - 20*b**r = 0.
-3, 0
Let -26 - 128/5*y + 2/5*y**2 = 0. What is y?
-1, 65
Suppose 11*z = 31 - 1857. Let i be z/(-18) + (-12 - -3). Factor 2/9*o + i*o**3 + 4/9*o**2 + 0.
2*o*(o + 1)**2/9
Let y(u) = 4*u**2 + 123*u + 3. Let p(w) = -18*w**2 - 614*w - 14. Let b(g) = -3*p(g) - 14*y(g). Factor b(n).
-2*n*(n - 60)
Let c = 21694 + -21690. Let q(v) be the first derivative of 2*v**5 + 44 + 3/4*v**6 - 5/8*v**c - 10/3*v**3 + 0*v - v**2. Suppose q(k) = 0. What is k?
-2, -1, -2/9, 0, 1
Let z(r) be the first derivative of 53 - 5/7*r**4 + 72/7*r - 60/7*r**2 + 2/35*r**5 + 74/21*r**3. Factor z(h).
2*(h - 3)**2*(h - 2)**2/7
Let x(u) = u**2 + 2*u + 2. Let v(w) = -4*w**2 + 198*w + 199. Let r(c) = 4*v(c) + 12*x(c). Factor r(j).
-4*(j - 205)*(j + 1)
Let z(h) be the first derivative of -h**6/30 + h**5/10 + h**4/4 + 127*h - 151. Let o(f) be the first derivative of z(f). Let o(l) = 0. What is l?
-1, 0, 3
Let d be -13 - (-10 - -4) - 172/(-24). Let i(v) be the second derivative of 2*v**2 - d*v**4 - 15*v + 0 + 1/3*v**3. Let i(r) = 0. What is r?
-1, 2
Let q = -73594 - -73594. Factor 0*p + 0 + 0*p**3 + q*p**2 - 1/3*p**5 + 5/3*p**4.
-p**4*(p - 5)/3
Let c(a) = a**3 + 15*a**2 + 16*a + 204. Let b be c(-14). Let l be 2 - 0 - (b/120 - 0). Determine o so that -2/15*o**2 + 0 - l*o = 0.
-4, 0
Factor 24*g - 1/4*g**2 + 0.
-g*(g - 96)/4
Let v = 3593/4272 - 57/178. Let f(d) be the third derivative of -7/240*d**6 + 6*d - 1/4*d**5 - v*d**4 + 4*d**2 + 125/24*d**3 + 0 - 1/840*d**7. Factor f(m).
-(m - 1)*(m + 5)**3/4
Let n(i) = -i**3 - 8*i**2 + 205*i + 51. Let m be n(11). Let h(b) be the first derivative of -3*b**2 - 2 - m*b + 1/3*b**3. Factor h(l).
(l - 7)*(l + 1)
Let v = -241/5 - -58543/1215. Let x = 458/1701 - v. Factor -44/7*u + 242/7 + x*u**2.
2*(u - 11)**2/7
Factor 0 - 16/5*j**4 + 8/5*j**2 + 4/5*j**3 + 0*j - 12/5*j**5.
-4*j**2*(j + 1)**2*(3*j - 2)/5
Let b(p) be the third derivative of -p**6/360 - 13*p**5/9 + 1933*p**2. Factor b(n).
-n**2*(n + 260)/3
Let f(h) = h**3 + 7*h**2 + 8*h - 4. Let a be f(-3). Suppose -99*p - a = -103*p. Suppose 1/3*x + 1/3*x**4 - 1/3*x**3 + 0 - 1/3*x**p = 0. What is x?
-1, 0, 1
Let q(p) be the first derivative of -5*p**8/336 + p**6/24 - 2*p**2 - 10*p - 74. Let c(k) be the second derivative of q(k). Factor c(r).
-5*r**3*(r - 1)*(r + 1)
Let d(i) = -i**4 - 19*i**3 - 241*i**2 - 929*i - 1296. Let s = -425 - -397. Let m(w) = -w**3 - w. Let o(n) = s*m(n) - 4*d(n). Suppose o(l) = 0. Calculate l.
-9, -4
Factor 2/7*m**2 + 1128002/7 - 3004/7*m.
2*(m - 751)**2/7
Let c(q) = q - 16. Let f be 0 + 1/(4/(-8)) - -20. Let d be c(f). Factor -h**2 - 2*h**2 - 4*h**2 - 6*h**3 + 2*h**5 + 11*h**d.
2*h**2*(h - 1)**2*(h + 2)
Let a = -1060196 + 1060198. Find r such that -40*r + 0*r**3 + 0 - 4/3*r**4 + 76/3*r**a = 0.
-5, 0, 2, 3
Let q(t) be the second derivative of -93*t**6/20 - 111*t**5/40 + 309*t**4/4 - 83*t**3 - 18*t**2 - 763*t - 1. Find m such that q(m) = 0.
-3, -2/31, 2/3, 2
Suppose -n + 14 = 3*p - 7*p, 0 = 2*n + p + 8. Let s(i) = -i**3 + 7*i + 8. Let x be s(n). Determine v so that 4/5*v - 2*v**x + 0 - 2/5*v**4 + 8/5*v**3 = 0.
0, 1, 2
Let k(t) = 41*t**2 + 2916*t + 1062885. Let x(f) = -69*f**2 - 5832*f - 2125769. Let d(o) = -5*k(o) - 3*x(o). Determine j so that d(j) = 0.
-729
Let t(q) be the third derivative of -5/3*q**3 + 3/4*q**5 + q**2 + 85/24*q**4 + 0*q - 81. Let t(i) = 0. What is i?
-2, 1/9
Let m(t) = -t**3 + 1. Let y(u) = 4*u**4 + 80*u**3 + 398*u**2 + 770*u + 284. Let d(r) = -10*m(r) - y(r). What is v in d(v) = 0?
-7, -3, -1/2
Let g be 267/33 - (-12)/(-132). Determine z, given that 60*z**3 - 3*z - 22 + g*z**4 - 25*z + 0*z**4 + 22 + 24*z**2 = 0.
-7, -1, 0, 1/2
Suppose -4*v = 2*t + 76, -4*t + 83 = -3*v + t. Let g be (8/v)/(2/(-28)). Let -4/3*j**4 + 16/3*j**3 + g - 4*j**2 - 16/3*j = 0. Calculate j.
-1, 1, 2
Suppose 0 = -3*h + 3, -16 = 3*c + 5*h - 30. Let i(g) be the first derivative of -2/5*g**5 - 1/6*g**6 + 0*g + 2/3*g**c + 12 + 1/2*g**2 + 0*g**4. Factor i(f).
-f*(f - 1)*(f + 1)**3
Let f = 8280 - 8277. Let m(i) be the second derivative of 0 + 0*i**2 + 0*i**f - 2/35*i**6 - 69/140*i**5 + 27*i + 3/14*i**4. Find h such that m(h) = 0.
-6, 0, 1/4
Let z(d) be the first derivative of 2*d**3/21 + 108*d**2/7 + 90*d + 13002. Factor z(x).
2*(x + 3)*(x + 105)/7
Let i(h) be the first derivative of -5*h**4/4 - 20*h**3 - 205*h**2/2 - 210*h - 5577. Solve i(k) = 0 for k.
-7, -3, -2
Let z(g) = 3*g**3 + 15*g**2 - 3*g + 9. Let i(j) = -j**2 + 6*j - 1. Let d(l) = 3*i(l) + z(l). Factor d(q).
3*(q + 1)**2*(q + 2)
Let o(j) = j**2 - 6121*j + 55012. Let q be o(9). Determine u so that 0*u + 0 - 1/2*u**q + 9/2*u**3 - 9*u**2 = 0.
0, 3, 6
Let p(z) be the thir