(l). Factor f(x).
-2*x**2*(x + 4)/3
Let r(c) be the third derivative of -c**6/720 + 11*c**5/40 - 363*c**4/16 - 109*c**3/6 + 3*c**2 + 20. Let a(b) be the first derivative of r(b). Factor a(d).
-(d - 33)**2/2
Let y(i) = 5*i**3 - 11*i**2 - 3*i + 3. Let n(s) = 60*s**3 - 130*s**2 - 35*s + 35. Suppose 0 = -38*m + 33*m + 15. Let k(z) = m*n(z) - 35*y(z). Factor k(c).
5*c**2*(c - 1)
Factor 2/3*x**2 + 512/3 - 80/3*x.
2*(x - 32)*(x - 8)/3
Factor -2/9*n**2 + 32/9 + 0*n.
-2*(n - 4)*(n + 4)/9
Determine a so that -68/21*a**3 - 2/21*a**4 + 0*a + 0 + 258/7*a**2 = 0.
-43, 0, 9
Let v(u) = u**2 + 15*u - 16. Suppose 0 = 3*w + 41 + 7. Let h be v(w). Solve 27*t**3 - 15*t**2 + h*t + 6*t**3 - 6*t - 2*t**4 - 10*t**4 = 0 for t.
-1/4, 0, 1, 2
Factor -109 - 12 - 23674*d**2 + 21 + 23678*d**2.
4*(d - 5)*(d + 5)
Let t be 130 - (-16 - -24)*2/(-8). Let z be 8/t - (-3610)/2508. Determine r, given that z + 1/2*r**3 - 5/2*r + 1/2*r**2 = 0.
-3, 1
Let l(c) be the third derivative of -c**6/600 - 19*c**5/300 + c**4/6 + 468*c**2. Factor l(w).
-w*(w - 1)*(w + 20)/5
Let b = 279436/39 + -7165. Let z(t) be the first derivative of 0*t**5 + b*t**6 + 5 + 4/39*t**3 + 0*t - 3/26*t**4 + 0*t**2. Determine p so that z(p) = 0.
-2, 0, 1
Find s such that -2/3*s**4 - 8/3 + 2*s**2 - 8/3*s + 4/3*s**3 = 0.
-1, 2
Let s(i) be the second derivative of 17*i**6/120 + 579*i**5/80 + 3043*i**4/48 + 1487*i**3/8 + 63*i**2/2 + 1820*i + 2. Let s(b) = 0. Calculate b.
-28, -3, -1/17
Suppose 0 = 3*l + 26 + 4, 5*l + 48 = -r. Factor 52/9 - 2/3*w**r + 74/9*w.
-2*(w - 13)*(3*w + 2)/9
Let y = -4159 - -4159. Solve y + 1/3*c**4 + 0*c - 4/3*c**3 + c**2 = 0 for c.
0, 1, 3
Let w(x) = x**2 - 19*x + 19. Let f be w(18). Let o(l) = 4*l - 1. Let d be o(f). Factor -4 + 8 - 6*y + y**d - 4*y**2 + y**3 + 4*y.
2*(y - 2)*(y - 1)*(y + 1)
Let l(w) be the first derivative of 8*w**5 + 75*w**4/2 + 35*w**3 - 50*w**2 - 60*w + 1447. Find n such that l(n) = 0.
-2, -1/2, 3/4
Let g be (-1 - 0)*(-22 + 6). Suppose -315*d**2 - 81 - 9*d - 295*d**2 + 666*d**2 - g*d**3 = 0. Calculate d.
-1, 9/4
Let b be (-970)/45*(-15)/365. Let a = b + -16/73. Let 2/3*c**2 - a + 1/3*c - 1/3*c**3 = 0. What is c?
-1, 1, 2
Factor 1894/11 - 2/11*w**2 - 172*w.
-2*(w - 1)*(w + 947)/11
Let b = 137836/15 + -9189. Let q(i) be the first derivative of 49/5*i - 1 + b*i**3 - 7/5*i**2. What is p in q(p) = 0?
7
Let g(w) = 5*w**3 + 561*w**2 - 988*w - 14. Let o(b) = b**3 + 113*b**2 - 197*b - 3. Let z(c) = 3*g(c) - 14*o(c). Solve z(r) = 0 for r.
-103, 0, 2
Let r(s) be the second derivative of 2*s**6/15 + s**5/5 - 3*s**4 - 6*s**3 - 117*s + 3. Factor r(g).
4*g*(g - 3)*(g + 1)*(g + 3)
Let u = -858703 - -858705. Let 1/7*d**5 + 0 + 0*d**3 - 2/7*d**u - 1/7*d + 2/7*d**4 = 0. Calculate d.
-1, 0, 1
Let n(q) be the first derivative of q**4 - 116*q**3 + 4182*q**2 - 33620*q - 8701. Factor n(s).
4*(s - 41)**2*(s - 5)
Let h(p) be the first derivative of p**3/9 - 41*p**2/6 - 60*p - 582. Determine u so that h(u) = 0.
-4, 45
Let u(a) = -2*a**5 + a**4 + a**3 + a. Let i(s) = -6*s**3 - 4*s**3 - 8*s**4 + 6*s + 0*s - 8*s**5 + 2*s**2 - 16*s**4 - 8*s. Let x(y) = i(y) + 2*u(y). Factor x(z).
-2*z**2*(z + 1)**2*(6*z - 1)
Let m(t) be the third derivative of -t**5/15 + 3*t**4 - 130*t**3/3 - 682*t**2. Factor m(o).
-4*(o - 13)*(o - 5)
Let c(l) = l**2 + l. Let g(r) be the third derivative of r**5/30 + r**4/8 + 8*r**3/3 + 19*r**2. Let q(n) = 3*c(n) - g(n). Let q(b) = 0. Calculate b.
-4, 4
Solve 20057 - 64*l**3 + 89*l**3 - 20207 + 35*l**2 - 5*l**4 - 145*l = 0.
-2, -1, 3, 5
Let l(i) be the second derivative of 0 + 33*i - 1/10*i**6 + 9*i**2 + 7/4*i**4 - 3/20*i**5 + 13/2*i**3. Find p such that l(p) = 0.
-2, -1, 3
Factor -41*h**3 - 1064 - 274*h**2 - 15*h**3 + 1072*h + 58*h**3.
2*(h - 133)*(h - 2)**2
Let q(v) be the first derivative of -32*v**3/21 + 24*v**2/7 + 2*v + 5449. Factor q(d).
-2*(4*d - 7)*(4*d + 1)/7
Suppose -4650*y = -4551*y - 297. Factor 10/7 - 12/7*r**2 - 8/7*r**y + 8/7*r + 2/7*r**4.
2*(r - 5)*(r - 1)*(r + 1)**2/7
Let d(c) be the first derivative of 6*c**3 - 2283*c**2/2 - 381*c - 4328. Find a, given that d(a) = 0.
-1/6, 127
Suppose 28*c - 26*c = -110. Let k = c + 58. Factor 12*m**2 - 12 + 3*m**k + m + m**3 - 5*m + 0*m.
4*(m - 1)*(m + 1)*(m + 3)
Let b(q) = 3*q**2 - 28*q + 34. Let w be b(8). Determine o so that 20*o**2 - 3*o**4 + 51*o**3 + 3*o - 30*o**3 + 19*o**w + 15*o - 3*o**5 = 0.
-2, -1, 0, 3
Factor -284*z - 5*z**4 + 161*z + 133*z - 3*z**3 + z**5 + 13*z**2.
z*(z - 5)*(z - 2)*(z + 1)**2
Suppose 0 = 2*d + 5*y - 76, -d = -y - 4*y - 38. Let b = 40 - d. What is t in 4*t**2 + t**2 - 8*t**b = 0?
0
Let r(h) be the second derivative of h**5/30 - 473*h**4/6 + 223729*h**3/3 - 105823817*h**2/3 - 903*h + 1. Factor r(d).
2*(d - 473)**3/3
Let q(v) be the first derivative of 3*v**4/20 - 271*v**3/5 - 246*v**2 - 1644*v/5 - 4207. Factor q(o).
3*(o - 274)*(o + 1)*(o + 2)/5
Let u(k) be the third derivative of k**5/20 - 31*k**4/4 - 63*k**3/2 - 4910*k**2. Solve u(z) = 0 for z.
-1, 63
Let s = -247954 - -247956. Find l such that 4/7*l**s + 8/7*l + 0 - 4/7*l**3 = 0.
-1, 0, 2
Let y(b) = 3*b**2 + 31*b + 8. Let h be y(-9). Let d be (7/h*-126)/6. Suppose 51/4*s - d*s**3 - 9/2 + 12*s**2 = 0. What is s?
-1, 2/7, 3
Determine i so that -76/3*i**2 + 256/3*i - 4/3*i**3 - 176/3 = 0.
-22, 1, 2
Suppose -38*q - 2400 - 95 = -1252*q - 67. Factor -36/5*c + 24/5*c**q - 4/5*c**3 + 16/5.
-4*(c - 4)*(c - 1)**2/5
Let n(p) = 18*p**3 - 44*p**2 - 96*p + 33. Let h(k) = -7*k**3 + k + 1. Let v(s) = 3*h(s) + n(s). Solve v(u) = 0 for u.
-12, -3, 1/3
Let c(g) = -25*g**2 + 37*g - 18. Suppose -12 = -4*p + 7*p. Let q(v) = 25*v**2 - 36*v + 19. Let d(r) = p*c(r) - 3*q(r). Suppose d(y) = 0. Calculate y.
3/5, 1
Let q = 6851086/7 + -978726. Factor 2/7*y**2 + q + 6/7*y.
2*(y + 1)*(y + 2)/7
Let c(p) = -3*p**3 - 42*p**2 + 189*p - 96. Let o(k) = 5*k**3 + 83*k**2 - 367*k + 191. Let m(x) = -11*c(x) - 6*o(x). Factor m(v).
3*(v - 6)*(v - 5)*(v - 1)
Let m = 650 + 489. Let i = -2277/2 + m. What is y in 1/2*y - i*y**2 + 3 = 0?
-2, 3
Let m(h) = -10*h**2 - 44*h + 6. Let l(n) = -12*n**2 - 45*n + 7. Let a(f) = -6*l(f) + 7*m(f). Factor a(j).
2*j*(j - 19)
Determine g, given that 772/7*g + 148996/7 + 1/7*g**2 = 0.
-386
Suppose -5*c = a + 18, -3*a + 10*c + 1 = -45. What is h in 7/3*h + 1/3*h**5 + 2/3*h**a - 4/3 - 8/3*h**3 + 2/3*h**4 = 0?
-4, -1, 1
Let j(m) = 16*m**2 + 2192*m + 300307. Let y(x) = -12*x**2 - 2192*x - 300306. Let p(u) = -2*j(u) - 3*y(u). Factor p(a).
4*(a + 274)**2
Suppose -4*n + 12 = -0*b - 4*b, -5*n - 3 = b. Let z(c) be the second derivative of 3*c + 1/15*c**3 + 2/5*c**2 - 1/15*c**4 + n - 1/50*c**5. Solve z(o) = 0.
-2, -1, 1
Let i = -165333 - -330671/2. Factor i*t - 3*t**3 - t**2 + 3/2 + 1/2*t**5 - 1/2*t**4.
(t - 3)*(t - 1)*(t + 1)**3/2
Let w be 7 - ((-6)/3 + 5). Factor 5*k**3 - 7*k**2 + 3 + 5 + 0*k**2 + 95*k**4 - 2 - 94*k**w - 5*k.
(k - 1)**2*(k + 1)*(k + 6)
Factor 30*c - 1/2*c**2 - 459/2.
-(c - 51)*(c - 9)/2
Let v(s) be the third derivative of -4*s**7/525 + 89*s**6/150 - 249*s**5/50 + 729*s**4/40 - 36*s**3 - 337*s**2. Determine w, given that v(w) = 0.
3/2, 40
Let k = -1185 - -1185. Let l(h) be the second derivative of 0*h**2 + 1/4*h**4 + 0*h**3 - 5*h + 3/20*h**5 + k. Suppose l(v) = 0. What is v?
-1, 0
Let t(k) be the first derivative of -1/12*k**6 - 24 - 3/8*k**4 - 2/5*k**5 + 0*k + k**2 + 2/3*k**3. Determine q, given that t(q) = 0.
-2, -1, 0, 1
Let v(w) be the third derivative of 0*w**3 - 1/75*w**6 + 0*w**4 + 14*w**2 + 0*w - 1/525*w**7 - 2 - 1/50*w**5. What is j in v(j) = 0?
-3, -1, 0
Suppose 28*n - 50 = 33*n. Let t be (16/n)/((-12)/150). Let 22*g**2 - 28 + 46 - t - 20*g = 0. What is g?
-1/11, 1
Solve 0*c - 14/9*c**3 - 2/9*c**4 + 0 - 8/3*c**2 = 0 for c.
-4, -3, 0
Let m(i) be the second derivative of -i**5/80 + 9*i**4/8 - 81*i**3/2 - 181*i**2/2 - 121*i - 1. Let j(b) be the first derivative of m(b). Factor j(x).
-3*(x - 18)**2/4
Suppose 96*q = 98*q - 64. What is k in 84*k**2 - 2*k**4 + 22 + 3*k**4 + 3*k**4 + 20 - 10 + q*k**3 + 88*k = 0?
-4, -2, -1
Let p(n) = 7*n**2 - 22 - 22*n + 24 + 18 + 4. Let b(w) = 57*w**2 - 177*w + 192. Let h(x) = -4*b(x) + 33*p(x). Find f such that h(f) = 0.
2, 4
Let s(n) be the second derivative of -n**5/50 - 52*n**4/15 - 101*n**3/15 + 206*n**2/5 + 1197*n. Factor s(k).
-2*(k - 1)*(k + 2)*(k + 103)/5
Let p(h) be the second derivative of -h**5/30 - 23*h