ctor s(a).
-5*a*(a + 1)**2*(3*a + 1)
Let i(b) be the second derivative of 28/15*b**3 - 3/5*b**4 + 1/10*b**5 + 0 - 1/150*b**6 - 16/5*b**2 - 180*b. Solve i(q) = 0.
2, 4
Let u(w) be the second derivative of 17*w**6/10 + 47*w**5/40 - 155*w**4/24 + w**3/2 - 1346*w. Solve u(l) = 0.
-3/2, 0, 2/51, 1
Let g = 1645367/3 - 548453. Solve -g*v - 1/3*v**2 - 7/3 = 0 for v.
-7, -1
Let y(v) be the second derivative of v**5/20 - 3*v**4/4 - 27*v**3/2 - 135*v**2/2 - 1162*v. Factor y(k).
(k - 15)*(k + 3)**2
Let k = -7437 - -7437. Let t(v) be the third derivative of -23*v**2 + 0*v + 11/570*v**5 + 35/228*v**4 + k + 25/57*v**3 + 1/1140*v**6. Factor t(l).
2*(l + 1)*(l + 5)**2/19
Let w be (5965/(-10))/((-7)/(-14)). Let g = w + 1195. Factor -45*k + 405*k**g + 5/4.
5*(18*k - 1)**2/4
Let l = 2932147/8 - 366518. Factor l*k**2 + 0 - 3/8*k**4 + 9/8*k**3 - 9/8*k.
-3*k*(k - 3)*(k - 1)*(k + 1)/8
Let b(n) be the first derivative of -n**3/3 - 578*n**2 - 334084*n - 1388. Factor b(z).
-(z + 578)**2
Suppose -17/3 + 7/6*j + 5/6*j**2 = 0. Calculate j.
-17/5, 2
Let c be -11 - 15*280/(-378). Let d(t) be the first derivative of 16 - 5/6*t**2 - c*t**3 - 4/3*t. Find x such that d(x) = 0.
-4, -1
Suppose 153/5*i**5 + 831/5*i**2 + 381*i**4 + 2517/5*i**3 + 66/5*i + 0 = 0. What is i?
-11, -1, -1/3, -2/17, 0
Let o = -39 - -46. Suppose o*p - 12 - 2 = 0. Find q, given that 73*q - 30 + 17*q**p - 47*q**2 - 5*q**3 - 128*q = 0.
-3, -2, -1
Let t = -84115 - -420576/5. Let a be 9/2*(-20)/(-150). What is f in 0 + 0*f + t*f**3 - a*f**2 = 0?
0, 3
Let q(d) = 4*d**4 + d**3 - 3*d**2 - 6*d - 3. Let a(f) = -3*f**4 + 2*f**2 + 4*f + 2. Let k(b) = 3*a(b) + 2*q(b). Find z, given that k(z) = 0.
0, 2
Let i be 1/(-4) + 10656/5760 - (-6)/15. Let l(p) be the second derivative of 1/15*p**4 + 13*p + 0*p**3 - 2/75*p**6 + 0 + 0*p**5 + 0*p**i. Factor l(r).
-4*r**2*(r - 1)*(r + 1)/5
Let k(q) = q**2 + 3*q. Let g(f) be the third derivative of 1/60*f**5 + 0*f + 1/24*f**4 + 0 + 0*f**3 + 2*f**2. Let w(o) = -6*g(o) + 3*k(o). Factor w(j).
-3*j*(j - 1)
Find x, given that 60*x - 9/2*x**2 - 1/2*x**3 + 64 = 0.
-16, -1, 8
Let h = -408 - -414. Find n, given that h*n + n + 20*n**3 + 12*n + 5*n**4 - 9*n + 25*n**2 = 0.
-2, -1, 0
What is c in 104/7*c**3 - 160/7 - 108/7*c - 48/7*c**4 + 4/7*c**5 + 208/7*c**2 = 0?
-1, 1, 5, 8
Suppose -k = -2*m - 22, 5*k - 97 - 21 = 2*m. Let i be ((-2)/(-24)*3)/(66/k). Find w, given that 1/11*w**3 + 0 - 16/11*w**2 + 20/11*w + i*w**4 = 0.
-5, 0, 2
Let x = -4917 + 4922. Let b(r) be the first derivative of 2/5*r**4 + 2/5*r**2 + 2/3*r**3 + 18 + 0*r + 2/25*r**x. Determine y, given that b(y) = 0.
-2, -1, 0
Suppose -4*r = -11*r + 56. Suppose -3*z = 4*u - 0*z - 8, 0 = -4*u - z + r. What is t in u*t**5 + 0*t**3 - 4*t**4 + 6*t**4 - 4*t**3 = 0?
-2, 0, 1
Let v(w) = 25678*w - 205422. Let p be v(8). Solve 3*l**3 + 3/2*l**4 + 0*l + 0 + 3/2*l**p = 0 for l.
-1, 0
Let x(k) = 48*k**2 + 329*k - 46. Let c be x(-7). Factor 10/11*w + 2/11*w**c + 100/11 - 16/11*w**2.
2*(w - 5)**2*(w + 2)/11
Let h(u) = -u**2 - 1. Let i(r) = -r. Let n(f) = 48*f**2 + 4. Let d(p) = 4*i(p) + n(p). Let b(j) = d(j) + 4*h(j). Solve b(q) = 0 for q.
0, 1/11
Let y(d) = 5*d**2 - 66*d - 148. Let r(x) = 12*x**2 - 130*x - 298. Let o(p) = -2*r(p) + 5*y(p). Factor o(h).
(h - 72)*(h + 2)
Suppose -c - 4*c + 10 = 0. Let c*v**2 + 42025 - 42025 - 12*v = 0. What is v?
0, 6
Suppose 8*t - 368 - 224 = 0. Factor 4*r**2 - 1 + 18*r + 97 - t*r.
4*(r - 12)*(r - 2)
Let h be (1 + -1)/(78/(-39)). Let b(c) be the second derivative of 1/30*c**6 - 17*c + h*c**2 + 0*c**5 + 0 - 1/12*c**4 + 0*c**3. Factor b(j).
j**2*(j - 1)*(j + 1)
Let f(x) be the second derivative of -x**4/24 + 619*x**3/6 - 1237*x**2/4 - 2978*x. Factor f(n).
-(n - 1237)*(n - 1)/2
Let q(r) be the first derivative of -5*r**2 + 16 + 0*r - 5/3*r**3. Find j, given that q(j) = 0.
-2, 0
Let i be (-117)/208*(-152)/57. Find m, given that -6*m**5 + 0*m + i*m**2 - 3/2*m**4 + 6*m**3 + 0 = 0.
-1, -1/4, 0, 1
Let v(k) be the second derivative of -k**4/84 + 647*k**3/42 + 324*k**2/7 - 992*k. Find x, given that v(x) = 0.
-1, 648
Suppose 5*w - 4*z = 28, -4*z = 5*w + 464 - 436. Factor -2/5*a**4 + 2/5*a**2 - 2/5*a**3 + 2/5*a**5 + 0 + w*a.
2*a**2*(a - 1)**2*(a + 1)/5
Factor -561/5 + 558/5*r + 3/5*r**2.
3*(r - 1)*(r + 187)/5
Let r(v) be the second derivative of -5*v**4/12 + 20*v**3 + 725*v**2/2 - 1429*v. Factor r(o).
-5*(o - 29)*(o + 5)
Let p(w) = 2*w**2 - 96*w + 10. Let d(o) = -o + 1. Let v(g) = 10*d(g) - p(g). Let v(a) = 0. Calculate a.
0, 43
Let b = -12 - -19. Let p(q) = -3*q + 33. Let d be p(b). Solve -2 - 4*z**3 - d*z**2 - 1247*z - 2 + 1235*z = 0.
-1
Let n(q) = 3*q + 9*q**2 - 4*q - q - 10*q**2. Let i be n(-2). Let i - 16/9*g**2 + 10/9*g**3 - 2/9*g**4 + 8/9*g = 0. Calculate g.
0, 1, 2
Let n(b) be the first derivative of -b**3 + 102*b**2 + 420*b - 3884. Find c such that n(c) = 0.
-2, 70
Let 5/4*y**3 - 63845/2 + 280*y**2 + 61585/4*y = 0. Calculate y.
-113, 2
Let p(r) be the second derivative of r**5/35 + 2*r**4/21 - 2*r**3/21 - 4*r**2/7 - 1236*r. Solve p(t) = 0.
-2, -1, 1
Let q be (-86)/(((-5)/10)/(3/(-12))). Let a = q + 45. Find i, given that 4*i**2 + 0*i + 3*i + 0*i - 2*i**a = 0.
-3/2, 0
Let u(q) be the first derivative of -2*q**3/15 - 1858*q**2/5 - 1726082*q/5 - 3023. Determine v, given that u(v) = 0.
-929
Let f(k) be the third derivative of 0*k**4 - 147*k**2 + 1/1260*k**7 + 1/360*k**5 + 0 + 0*k**3 + 1/360*k**6 + 0*k. Factor f(a).
a**2*(a + 1)**2/6
Solve -54/5*h**3 + 0 + 54/5*h - 1/5*h**4 + 1/5*h**2 = 0.
-54, -1, 0, 1
Let p(b) be the second derivative of -b**6/6 + 75*b**5/4 - 725*b**4/12 - 125*b**3/2 + 365*b**2 + 3*b + 272. Let p(z) = 0. What is z?
-1, 1, 2, 73
Let d(n) be the first derivative of -41*n**2/2 - 407*n - 190. Let c be d(-10). Find w such that 2/5*w**5 - 8/5*w**c + 0*w**2 + 0*w + 0 + 0*w**4 = 0.
-2, 0, 2
Let v be (-92 + 91)*39/(-6). Factor 0 - 1/2*m**5 + 25/2*m**3 + 0*m - 11/2*m**4 - v*m**2.
-m**2*(m - 1)**2*(m + 13)/2
Let p(v) be the first derivative of 16/5*v**5 - 12*v**2 - 3*v**4 + 10 + 0*v - 100/3*v**3. Factor p(i).
4*i*(i - 3)*(i + 2)*(4*i + 1)
Let h(m) = m**3 - 4*m**2 + m + 6. Let p be h(3). Suppose -5*t - 4*f = -6*f - 14, p = 5*t + 5*f - 35. Factor g**t + 3*g**2 + 1 + g**2 - 6*g**2.
(g - 1)**2*(g + 1)**2
Let y be (2/(-72))/((-840)/315). Let l(j) be the third derivative of 7*j**2 - 1/12*j**3 + 0 + 1/240*j**5 + y*j**4 + 0*j. Factor l(i).
(i - 1)*(i + 2)/4
Let a be 56791/8967*6/19. Determine b so that -1058/17 - 2/17*b**a - 92/17*b = 0.
-23
Let t(x) be the second derivative of x**8/3360 - 11*x**7/1260 - x**6/30 - 67*x**4/4 + 11*x - 7. Let f(i) be the third derivative of t(i). Factor f(w).
2*w*(w - 12)*(w + 1)
Suppose 26 = 4*l + 3*w, -2*l + 2*w = -0*w + 8. Let j(r) be the first derivative of 9/2*r**4 - 6*r**l + 36*r + 11 - 3/5*r**5 - 9*r**3. What is z in j(z) = 0?
-1, 2, 3
Let t(c) be the second derivative of -15/2*c**2 + 5/12*c**4 - 2 - 22*c + 5/3*c**3. Let t(w) = 0. What is w?
-3, 1
Let z be (23 - 21)/((-1 - -3)/2). Factor 14*u**3 + 73 + 97 + 10*u - z*u**4 - 22*u**2 - 170.
-2*u*(u - 5)*(u - 1)**2
Let y(g) be the first derivative of -5*g**4/4 + 395*g**3/3 + 1040*g**2 + 1680*g - 3640. Factor y(n).
-5*(n - 84)*(n + 1)*(n + 4)
Suppose -4*o = 4*y - 8, 6*y = -o + 8*y + 2. Solve -4*z**2 + 3*z**o - 3*z + 2745 - 2747 = 0 for z.
-2, -1
Suppose -y + 18 = 2*g + g, -y = -2*g + 7. Let 16*l + 4*l**3 + 3*l + 20*l**2 + 8*l - y*l = 0. Calculate l.
-3, -2, 0
Factor -205*y + 157*y + 619*y - 125*y + 1145 + 694*y - 5*y**2.
-5*(y - 229)*(y + 1)
Factor -137*u**5 + 10*u**4 - 8*u**3 - 52*u + 183*u**5 - 50*u**5 + 2*u**2 + 52*u.
-2*u**2*(u - 1)**2*(2*u - 1)
Suppose 20*y**2 - 16 + 6901*y**3 - 4*y**4 - 17*y - 6901*y**3 + 17*y = 0. Calculate y.
-2, -1, 1, 2
Let l(k) = -3*k**4 - 8*k**3 - 89*k**2 - 4*k + 20. Let y(f) = 2*f**4 + 9*f**3 + 88*f**2 + 3*f - 15. Let q(b) = -3*l(b) - 4*y(b). Factor q(t).
t**2*(t - 17)*(t + 5)
What is p in 10*p + 96 + 1/4*p**2 = 0?
-24, -16
Factor -36288 + 4*x**5 - 1080*x**3 - 400*x**4 - 3132*x**3 - 23760*x**2 - 41417*x - 948*x**3 - 6643*x.
4*(x - 112)*(x + 3)**4
Suppose -63/5*w**3 - 1296/5 + 3/5*w**4 + 612/5*w + 132/5*w**2 = 0. Calculate w.
-3, 2, 4, 18
Let u be (50/9)/(44/55). Let q(t) be the third derivative of 0*t + 1/36*t**5 + 0 + 6*t**2 + u*t**3 - 25/36*t**4. Factor q(p).
5*(p - 5)**2/3
Let j be 2/((-104)/(-39))*(-205)/(-1