 11. Let m(t) = q*x(t) + 3*p(t). Factor m(v).
(v - 1)*(v + 1)*(3*v - 2)
Suppose 3*p - 16 = -4*j, j - 2*j + 1 = 0. Factor -5*r**4 + 19*r**3 - 3*r**3 - 5*r**p + 6*r**4.
-4*r**3*(r - 4)
Let z be 4/(-3) + (-4 - (-10704)/9). Determine o so that 2*o**5 + z*o**4 - 1176*o**4 + 0*o**3 + 8*o**3 = 0.
-2, 0
Suppose 22 - 42 + 58 = 19*p. Let t(j) be the first derivative of 0*j**p + 2/63*j**3 - 16 + 0*j. Factor t(u).
2*u**2/21
Let x(d) = -d**2 - 8*d - 10. Let v be x(-6). Find c such that -c**v - 33*c - c**2 + 31*c = 0.
-1, 0
Let h be 1*13 - 18606358/(-5074). Solve 0 - 504*i**3 + 122/5*i**4 - 2/5*i**5 - 3200*i + h*i**2 = 0 for i.
0, 1, 20
Solve -3/2*v**4 + 0 + 0*v + 57*v**2 + 51/2*v**3 = 0 for v.
-2, 0, 19
Let m(i) be the second derivative of -i**4 + 0*i**2 + 5/4*i**5 - 2*i - 3/10*i**6 - 2/3*i**3 + 43. Factor m(v).
-v*(v - 2)*(v - 1)*(9*v + 2)
Factor 4*j**2 - 917*j + 697*j + 4 - 4.
4*j*(j - 55)
Suppose 5 = -5*n + 5*y, 5*y + 3 = 18. Factor 0 + 3/2*q**3 + 3*q**n + 3/2*q.
3*q*(q + 1)**2/2
Let t(n) = 10*n**3 + 79*n**2 + 590*n + 530. Let y(m) = 2*m**3 + 20*m**2 + 148*m + 132. Let r(j) = -4*t(j) + 18*y(j). Factor r(s).
-4*(s - 16)*(s + 1)*(s + 4)
Let l(o) be the first derivative of 1564*o**3 - 1565*o**3 + 5 + 2 + 24*o**2 - 192*o. Suppose l(x) = 0. Calculate x.
8
Let w = -47336 - -47339. Solve -6/5*y**2 + 0 - 2/5*y - 4/5*y**w = 0.
-1, -1/2, 0
Let g = 2983 + -2983. Let r(w) be the first derivative of -8/3*w**3 - 7 + g*w**2 + 0*w - w**4. Factor r(m).
-4*m**2*(m + 2)
Let l(q) = 45*q**2 + 23*q - 20. Let d be l(1). Let h be (-18)/d*(-18)/27. Factor -h*o**3 - 4 - 2*o + 7/4*o**2.
-(o - 4)**2*(o + 1)/4
Let m(x) = -x + 228 + 228 + 6*x - 3*x**2 - 458. Let q be m(1). Solve 84*r**5 + q*r - 191/3*r**4 + 16*r**3 + 0 - 4/3*r**2 = 0.
0, 2/9, 1/4, 2/7
Let g = -7521316/9 + 835702. Find b such that -8/9 + g*b**2 - 2/9*b**3 + 8/9*b = 0.
-2, 1, 2
Let l be (-44)/(-36) - 3352/(-18855). Suppose -4 + l*a - 1/10*a**2 = 0. What is a?
4, 10
Let i(s) be the second derivative of -s**6/105 + 2*s**4/21 + 1470*s - 1. Find h, given that i(h) = 0.
-2, 0, 2
Let m(h) = 11*h**2 - 33*h + 37. Let q(c) = -2*c**2 + c + 1. Let r(x) = 37*x + 3. Let j be r(0). Let f(l) = j*q(l) + m(l). Determine k so that f(k) = 0.
2, 4
Let d(q) be the third derivative of 9*q**7/70 + 67*q**6/10 + 183*q**5/20 - 72*q**4 + 58*q**3 + 3713*q**2. Let d(c) = 0. What is c?
-29, -2, 2/9, 1
Let y(v) be the first derivative of 0*v + 1/12*v**4 - 15 + 1/6*v**5 + 0*v**2 + 1/36*v**6 - 4/9*v**3. Factor y(b).
b**2*(b - 1)*(b + 2)*(b + 4)/6
Let i(o) be the second derivative of o**5/15 - 5*o**4/3 + 6*o**3 + 54*o**2 + 47*o - 2. Let x(h) be the first derivative of i(h). Factor x(n).
4*(n - 9)*(n - 1)
Let r(w) be the first derivative of -w**4/6 + 2*w**3/15 + 2*w**2/15 - 287. Factor r(k).
-2*k*(k - 1)*(5*k + 2)/15
Let p(n) = -33*n**3 + 41*n**4 - 51*n**4 + 1 + 5 - 2 - 24*n**2 - 5*n. Let w(s) = -2*s**3 - s**2 + 1. Let i(f) = p(f) - 4*w(f). Factor i(o).
-5*o*(o + 1)**2*(2*o + 1)
Let d(x) be the first derivative of x**6/3 + 12*x**5/5 + 13*x**4/2 + 8*x**3 + 4*x**2 + 397. Suppose d(l) = 0. What is l?
-2, -1, 0
Let b(c) be the third derivative of 0*c + 0 - 1/60*c**6 + 2/105*c**7 + 0*c**4 + 1/168*c**8 - 44*c**2 + 0*c**3 - 1/15*c**5. Factor b(r).
2*r**2*(r - 1)*(r + 1)*(r + 2)
Let q(s) be the first derivative of s**4/12 + 10*s**3/9 + 11*s**2/6 - 70*s/3 + 235. Factor q(k).
(k - 2)*(k + 5)*(k + 7)/3
Let h(n) = -n**3 + 9*n**2 + 26*n - 42. Suppose -3*k - 7 = -40. Let x be h(k). Solve 2/3*v**3 + 0 - 1/6*v**x + 1/3*v**5 - 5/6*v**4 + 0*v = 0 for v.
0, 1/2, 1
Let i(v) be the second derivative of -v**5/180 + 5*v**4/54 + 61*v**3/54 - 35*v**2/9 - 1445*v. Find s such that i(s) = 0.
-5, 1, 14
Let w = 117734/22065 - 18/7355. Suppose 10/3*m - w*m**4 + 2/3*m**5 - 32/3*m**2 + 0 + 12*m**3 = 0. Calculate m.
0, 1, 5
Let w be -13 - 13/4*-4 - 0/4. Determine i, given that -23/4*i**2 + w - 31/4*i**3 - 17/4*i**4 - 3/4*i**5 - 3/2*i = 0.
-3, -1, -2/3, 0
Let m(g) = -7*g**3 - 2021*g**2 - 256036*g + 21. Let t(v) = 8*v**3 + 2020*v**2 + 256036*v - 28. Let c(p) = 4*m(p) + 3*t(p). Let c(q) = 0. Calculate q.
-253, 0
Solve 5482/3*g**3 + 700/3*g**4 + 0*g - 340*g**2 + 0 + 22/3*g**5 = 0.
-17, -15, 0, 2/11
Let n(k) be the second derivative of -k**5/10 + 81*k**4/2 - 936*k**3 + 8316*k**2 - 3220*k. Suppose n(o) = 0. Calculate o.
6, 231
Let p(k) be the second derivative of k**5/10 + k**4/6 - 3*k**3 - 9*k**2 + 378*k - 3. What is v in p(v) = 0?
-3, -1, 3
Suppose 6*a + 5*s = 3*a + 1, -5*s = 4*a - 8. Suppose 8*w**3 + 12*w - 12*w**3 - 15*w**2 + a*w**3 = 0. Calculate w.
0, 1, 4
What is d in 9*d**3 + 2*d**4 + d**3 + 34*d**5 + 2*d + 29*d**5 - 10*d + 8 - 10*d**2 - 65*d**5 = 0?
-2, -1, 1, 2
Solve -1/2*t**5 - 7075/2*t**3 - 5926176 - 155/2*t**4 - 40185/2*t**2 + 1169640*t = 0 for t.
-57, 8
Let m(u) = -15*u**2 + 84*u + 99. Let q(y) = 3*y**2 - 17*y - 20. Let o(n) = -4*m(n) - 21*q(n). Factor o(k).
-3*(k - 8)*(k + 1)
Suppose -17*g - 2*g - 14972 = 0. Let x = g - -790. Factor 1/2*r + 1/4 + 1/4*r**x.
(r + 1)**2/4
Let i = -1384105/91 + 15211. Let g = i - -8/91. Factor 20/7*p - g + 4*p**2.
4*(p + 1)*(7*p - 2)/7
Factor -4/7*p**2 + 3524/7 - 3520/7*p.
-4*(p - 1)*(p + 881)/7
Let c(q) be the third derivative of q**7/420 + q**6/60 - q**5/24 + q**2 - 527. Determine n so that c(n) = 0.
-5, 0, 1
Let c be 390/(-9)*(-57 - 14041/(-247)). Factor 22/3 + c*z - 2/3*z**2.
-2*(z - 11)*(z + 1)/3
Let k(h) = -4*h**3 - h**2. Let x be k(-1). Factor 4*y**2 + 2/3*y**x + 8/3 + 6*y.
2*(y + 1)**2*(y + 4)/3
Let y = -506 - -508. Let z be y/10 + (-5)/((-100)/6). Factor -1/4*k**3 + 1/4*k - 1/4*k**4 - z + 3/4*k**2.
-(k - 1)**2*(k + 1)*(k + 2)/4
Let i(a) be the second derivative of a**4/12 - 2*a**3/3 - 70*a**2 + 2*a - 409. Solve i(r) = 0.
-10, 14
Let p(q) be the first derivative of q**4/16 - 70*q**3/3 + 279*q**2/8 - 1973. Factor p(h).
h*(h - 279)*(h - 1)/4
Find f, given that -96/7*f - 62/7*f**4 - 14*f**3 - 72/7 - 6/7*f**5 + 334/7*f**2 = 0.
-6, -1/3, 1
Factor 0 + 115/3*l**2 + 26*l + 12*l**3 - 1/3*l**4.
-l*(l - 39)*(l + 1)*(l + 2)/3
Suppose 4*p - 16 = 2*v, 0*p = -3*p + 4*v + 22. Let 2*w**2 + w**p - 5*w - 9*w**3 + 10*w**3 + w**2 = 0. Calculate w.
-5, 0, 1
Let q(v) be the third derivative of 1/20*v**5 - 5*v**2 - 2 + 0*v**3 + 1/8*v**4 + 0*v. Factor q(b).
3*b*(b + 1)
Let z(p) = p**2 + 17*p - 49. Let k be z(-21). Factor 10 - 85*y**2 + k*y**3 + 29*y + y - 10.
5*y*(y - 2)*(7*y - 3)
Suppose -3*o = 3*p - 24, 3*o - 5*p = -138 + 114. Factor -1550/7*c - 3888/7*c**4 - 670/7*c**o + 5094/7*c**3 + 864/7*c**5 - 250/7.
2*(3*c - 5)**3*(4*c + 1)**2/7
Determine g so that 32*g + 64/7 - 156/7*g**2 - 16/7*g**4 - 116/7*g**3 = 0.
-4, -1/4, 1
Let p(f) = -14*f**3 + 20*f**2 + 36*f. Let v(m) = -83*m**3 + 119*m**2 + 202*m. Let b(h) = 34*p(h) - 6*v(h). Let b(n) = 0. Calculate n.
0, 6/11, 1
Let g(h) be the second derivative of 88*h + 0*h**2 - 1/42*h**4 + 1/3*h**3 + 0. Let g(d) = 0. What is d?
0, 7
Let z(m) = 32*m**2 + 364*m + 51. Let x(n) = -11*n**2 - 122*n - 18. Let k(s) = 17*x(s) + 6*z(s). Determine i, given that k(i) = 0.
-22, 0
Let z(k) be the third derivative of 4/5*k**3 + 31/60*k**4 + 1/525*k**7 + 0 - 59*k**2 + 3/100*k**6 + 0*k + 9/50*k**5. Let z(g) = 0. What is g?
-4, -3, -1
Let f(n) be the first derivative of n**3/3 + n**2 - 3*n - 714. Factor f(v).
(v - 1)*(v + 3)
Let a(v) be the second derivative of -3*v**5/20 - 9*v**4/4 - 12*v**3 - 30*v**2 - 4*v - 65. Suppose a(i) = 0. Calculate i.
-5, -2
Determine h so that 45/2*h**2 + 177/2*h**3 - 750 - 6*h**4 - 3000*h = 0.
-5, -1/4, 10
Let x be (-1597647)/368559 - 1/(-1). Let u = -2/1321 - x. Factor 14/3*v + 4/3 + 6*v**2 + u*v**3 + 2/3*v**4.
2*(v + 1)**3*(v + 2)/3
Let g(u) = 15*u**2 - 12 + 11*u**3 - 6 + 29 + 51*u. Let m(t) = -t**3 + t**2 - t + 1. Let x(c) = -2*g(c) - 18*m(c). Factor x(b).
-4*(b + 1)**2*(b + 10)
Let d(x) be the third derivative of -54872/45*x**3 + 5*x + 1/900*x**6 + 0 - 19/75*x**5 - x**2 + 361/15*x**4. Let d(t) = 0. Calculate t.
38
Let w(h) be the first derivative of h**5 + 63 + 25/4*h**2 + 15/4*h**4 + 20/3*h**3 + 1/12*h**6 + 3*h. What is z in w(z) = 0?
-6, -1
Let x(q) be the second derivative of q**6/5 + 19*q**5/10 + 10*q**4/3 - 498*q. Factor x(f).
2*f**2*(f + 5)*(3*f + 4)
Let r(u) be the second derivative of u**9/3024 + u**8/840 - u**7/280 - 23*u**3/6 - 30*u - 2. Let s(b) be the second derivative of r(b). Factor s(i).
i**