 of 45*k - 20*k**2 - 50/3*k**3 + 10*k**4 + 57 + k**5. Factor m(s).
5*(s - 1)**2*(s + 1)*(s + 9)
Let d(i) = i**3 - 74*i**2 + 69*i + 306. Let f be d(73). Let u(t) be the first derivative of -5/9*t**3 - f - 10*t**2 - 60*t. Factor u(j).
-5*(j + 6)**2/3
Let u(v) be the first derivative of v**3/5 + 21*v**2 - 1224. Factor u(z).
3*z*(z + 70)/5
Let g(p) be the third derivative of p**8/2856 - 3*p**7/595 - p**6/51 + 18*p**5/85 - 20*p**4/51 - 2*p**2 + 9*p + 218. Let g(t) = 0. Calculate t.
-4, 0, 1, 2, 10
Let s(h) be the third derivative of -h**5/60 + 13*h**4/3 - 103*h**3/6 - 4*h**2 - 138. Factor s(f).
-(f - 103)*(f - 1)
Let o(b) be the second derivative of 14 - 7/40*b**6 - 1/2*b**3 - 9/2*b**2 + 2*b + 31/16*b**4 - 5/56*b**7 + 63/80*b**5. Let o(m) = 0. Calculate m.
-2, -1, 3/5, 2
Let v(y) be the third derivative of y**5/60 + 1019*y**4/4 + 3115083*y**3/2 - 1471*y**2 - 2. What is d in v(d) = 0?
-3057
Suppose 2*t + t = 0. Suppose -3*a = 4*v - 23, t*v - 2*a - 46 = -5*v. Determine w, given that -5*w**2 + 3 - 3 + v*w**2 - 7*w + 2 = 0.
1/3, 2
Suppose 37 = 15*j + 7. Suppose -6*g - 14 + 14*g**j + 2*g**3 - 6*g + 18*g - 8*g = 0. Calculate g.
-7, -1, 1
Suppose 27*t + t = -49364. Let g be 2/(-13) + t/(-1066). Let 3/2*u**2 - 3/2*u**3 - g + 3/2*u = 0. What is u?
-1, 1
Suppose -1366 + 178 = -413*u + 877. Let y(s) be the first derivative of u*s**2 + 4*s - 2/5*s**5 - 13 + 2*s**3 - 1/2*s**4. Factor y(b).
-2*(b - 2)*(b + 1)**3
Let b(z) be the first derivative of -1/24*z**6 + 1/6*z**3 - 35/8*z**2 - 9/2*z - 90 + 4/5*z**5 + 9/4*z**4. Let b(r) = 0. Calculate r.
-1, 1, 18
Suppose 6*g + 1236 = g - 2*l, -2*g - 490 = 3*l. Let h = g - -1241/5. Solve h - 1/5*u**3 + 1/5*u - 1/5*u**2 = 0.
-1, 1
Let z = -817/5 - -46619/285. Let q(f) be the first derivative of -1 + 1/38*f**4 + 7/19*f**2 + 6/19*f + z*f**3. Determine c, given that q(c) = 0.
-3, -1
Let z(b) = -5*b**2 + 18*b - 60. Let j(r) = r**2 - 4. Let l(t) = -4*j(t) - z(t). Let v be l(6). Suppose c - c**3 + 1/4*c**v - 3/4 + 1/2*c**2 = 0. What is c?
-1, 1, 3
Suppose 7/2*n**2 - 32 - 1/4*n**3 - 8*n = 0. What is n?
-2, 8
Let j(m) be the second derivative of -3*m**5/100 + 389*m**4/20 + m**3/10 - 1167*m**2/10 - 942*m. Factor j(v).
-3*(v - 389)*(v - 1)*(v + 1)/5
Find v, given that -10/7*v**3 - 2/7*v**4 - 108/7 - 30/7*v + 10*v**2 = 0.
-9, -1, 2, 3
Let p be 27040/96096 + 3/63*3. Let n(l) be the first derivative of 31 - p*l**3 + l**2 - 8/11*l. Suppose n(k) = 0. Calculate k.
4/7, 1
Let n(m) = m**3 + 531*m**2 + 17821*m + 36. Let x be n(-36). Solve 3/2*p + x + 3/4*p**2 = 0.
-2, 0
Let m = 340 - 336. Suppose 4*w**5 + 8*w**m - 39*w**4 - 16*w**2 + 24*w**3 + 4*w + 15*w**4 = 0. Calculate w.
0, 1
Suppose -5*u + 66 = -0*u - 3*w, 0 = -4*u + w + 50. Let j be ((-2)/(-4))/(2/u). Factor 6*i**4 - 4 + 32*i**2 + 57*i - 51*i + 2*i**4 + 30*i**j.
2*(i + 1)**2*(i + 2)*(4*i - 1)
Let f be 996/(-2)*76/(-456). Suppose f*r - 62*r = 42. Factor -3/4*m**r - 3/2*m**3 + 0 + 3/4*m**4 + 3/2*m.
3*m*(m - 2)*(m - 1)*(m + 1)/4
Suppose 57*d = 68*d - 495. Let z be 56/(-315) + 18/d. Suppose 1/3 + z*j - 1/9*j**2 = 0. What is j?
-1, 3
Let t(x) = 12*x**3 + 238*x**2 + 463*x - 5. Let y(r) = 5*r**3 + 119*r**2 + 232*r - 2. Let c(b) = -2*t(b) + 5*y(b). Factor c(u).
u*(u + 2)*(u + 117)
Let c(g) be the second derivative of 1/130*g**5 - 5*g - 1/3*g**4 + 0 - 288/13*g**2 + 64/13*g**3. Find r, given that c(r) = 0.
2, 12
Let g(m) be the first derivative of -m**4/30 - m**3/5 + 4*m**2/5 - 2*m + 55. Let w(o) be the first derivative of g(o). Solve w(z) = 0.
-4, 1
Let g(r) be the second derivative of 24/5*r**3 + 4/5*r**4 + 1/25*r**5 + 5*r + 2 + 0*r**2. Factor g(w).
4*w*(w + 6)**2/5
Let g(l) be the first derivative of -363*l**4/4 - 3344*l**3 + 1842*l**2 - 336*l - 4253. Factor g(u).
-3*(u + 28)*(11*u - 2)**2
Let j(t) = -7*t**2 - 922*t - 72055. Let f(x) = -48*x**2 - 6456*x - 504390. Let b(a) = -4*f(a) + 27*j(a). Factor b(g).
3*(g + 155)**2
Let l be (-2)/6*(-3)/(-6)*-10. Let a = 183 + -123. Factor -20*x - l*x**2 - a.
-5*(x + 6)**2/3
Let k = 353 - 315. Suppose 23*f - k*f + 45 = 0. Find b, given that 22/13*b + 2/13*b**f + 14/13*b**2 + 10/13 = 0.
-5, -1
Suppose -2*q + 16 = w, -2*q + 4472 - 4464 = -w. Factor 10/3*r - 25/3*r**w + 70/3*r**3 + 5/3 - 20*r**2.
-5*(r - 1)**3*(5*r + 1)/3
Suppose -5*u = q - 18, 0 = -36*q + 40*q + 3*u - 21. Solve 4/21*o**2 - 2/21*o**q + 0 + 16/21*o = 0 for o.
-2, 0, 4
Let a(b) be the first derivative of -9/7*b**2 - 5/14*b**3 - 18*b + 48 + 1/28*b**4. Let n(k) be the first derivative of a(k). Find r such that n(r) = 0.
-1, 6
Let f(h) = 14*h**2 - 97*h + 48. Let k(y) = -3*y**2 + 10. Let s(q) = -f(q) - 5*k(q). Let s(n) = 0. What is n?
-98, 1
Determine m, given that -9855 + 28*m**2 + 700*m + 9855 - 32*m**2 = 0.
0, 175
Suppose -35*i + 40*i = 4*t + 6133, 4*i + 4*t = 4892. Let h = i - 1220. Factor 44/5*p**2 + 14/5*p**4 + 6/5 - 26/5*p - 36/5*p**3 - 2/5*p**h.
-2*(p - 3)*(p - 1)**4/5
Let x(b) = b**3 - 145*b + 6. Let a be x(-12). Let o be ((-8)/(-28))/(9*4/a). Suppose -1/7*v**2 + 0 - o*v**3 + 0*v = 0. What is v?
-1, 0
Let n = -113335 + 113338. Let -74/9*k**2 + 2*k - 2/3*k**4 + 0 + 62/9*k**n = 0. Calculate k.
0, 1/3, 1, 9
Let p(i) be the first derivative of -i**5/270 - 10*i**4/27 - 400*i**3/27 - 10*i**2 + 121. Let j(x) be the second derivative of p(x). What is o in j(o) = 0?
-20
Factor 1/3*p**2 - 70/3 - p.
(p - 10)*(p + 7)/3
Let f(l) = -31*l**4 - 139*l**3 - 198*l**2 - 94*l - 34. Let q(t) = -t**4 + t**3 + t**2 + t - 3. Let k(b) = -5*f(b) + 30*q(b). Factor k(x).
5*(x + 1)*(x + 4)*(5*x + 2)**2
Suppose 103 = 23*c + 57. Factor -396 + 20*x + 2*x**c + 790 - 346.
2*(x + 4)*(x + 6)
Let v(k) be the first derivative of -5/2*k**4 - 35*k**2 - 25*k + k**5 - 20*k**3 + 17. Factor v(z).
5*(z - 5)*(z + 1)**3
Let p(c) = c**4 + 4*c**3 - c**2 + 5*c. Let r(b) = -b**4 - 4*b**3 - b**2 - 4*b. Let g be 1/(5 + 18/(-4)). Let a(v) = g*p(v) + 3*r(v). Factor a(x).
-x*(x + 1)**2*(x + 2)
Let c(y) be the first derivative of y**6/840 + y**5/420 + y**2 + 6*y - 43. Let k(z) be the second derivative of c(z). Suppose k(j) = 0. Calculate j.
-1, 0
Let v = 1725 - 6885/4. Let p(l) be the first derivative of -5/2*l**2 - 12 + 5*l**3 + l**5 - v*l**4 + 0*l. Suppose p(m) = 0. Calculate m.
0, 1
Let j(d) be the first derivative of 51/2*d**3 + 189*d - 23/8*d**4 + 1/10*d**5 - 106 - 405/4*d**2. Factor j(l).
(l - 14)*(l - 3)**3/2
Let w(d) be the first derivative of -d**5/10 + 29*d**4/24 + 79*d**3/18 + 59*d**2/12 + 2*d - 1185. Determine f so that w(f) = 0.
-1, -1/3, 12
Let l be 0*(-2 + 1)*1. Let r be 15 + l/3 + 0. Find b, given that 0*b**5 - 5*b**3 - 4*b**3 - 3*b**5 + 15*b**4 - 12*b - r*b**2 + 24*b = 0.
-1, 0, 1, 4
Let l(b) = -15*b**3 + 9*b**2 + 36*b + 12. Let g = 101 - 106. Let a(s) = -15*s**3 + 9*s**2 + 36*s + 12. Let r(h) = g*a(h) + 6*l(h). Factor r(z).
-3*(z - 2)*(z + 1)*(5*z + 2)
Suppose 4*u + 40 = 3*c + 10, 16 = -4*c - 4*u. Let -4/7*n**3 + 0 + 4/7*n + 2*n**4 - c*n**2 = 0. Calculate n.
-1, 0, 2/7, 1
Let d(b) be the first derivative of 4*b**5/5 + 129*b**4 - 884*b**3 + 1870*b**2 - 1608*b - 172. Suppose d(f) = 0. Calculate f.
-134, 1, 3
Let g be 38/((-266)/(-21)) - 27/12. Let g*p**2 + 12 + 15/2*p = 0. Calculate p.
-8, -2
Let t(w) be the third derivative of w**6/1440 + w**5/80 - w**4/6 - 35*w**3/2 + 47*w**2 + 2. Let k(x) be the first derivative of t(x). Factor k(n).
(n - 2)*(n + 8)/4
Let s(v) = -15370*v + 46113. Let g be s(3). Factor 0 - 1/4*y**g - 3/4*y**2 + 0*y.
-y**2*(y + 3)/4
Let u(x) be the third derivative of -x**7/42 + 31*x**6/24 + x**5/4 - 475*x**4/24 + 155*x**3/3 - 1003*x**2. Determine m, given that u(m) = 0.
-2, 1, 31
Factor -144 + 72/7*i**2 - 348/7*i - 3/7*i**3.
-3*(i - 14)*(i - 12)*(i + 2)/7
Let y(j) = 2*j**2 + 5235*j - 153494. Let q be y(29). Factor -10/7*l**q + 12/7 - 38/7*l + 36/7*l**2.
-2*(l - 2)*(l - 1)*(5*l - 3)/7
Let t(n) be the third derivative of -n**5/390 - 2681*n**4/78 - 7187761*n**3/39 - 58*n**2 + 9*n + 2. Suppose t(w) = 0. What is w?
-2681
Let j(u) = 9*u + 112. Let z be j(-12). Let t be 63/9 + (-4 - -3) - z. Factor -9/4*l**t - 9/4*l - 3/4*l**3 - 3/4.
-3*(l + 1)**3/4
Let s(f) be the first derivative of 2*f**3/21 - 81*f**2/14 + 40*f/7 + 1679. Solve s(x) = 0.
1/2, 40
Let p(k) be the first derivative of -1/11*k**6 - 32/11*k + 14 + 16/11*k**2 - 26/55*k**5 + 16/11*k**3 - 4/11*k**4. Solve p(t) = 0 for t.
-2, 2/3, 1
Let z(t) = t**2 + 15*t 