5 + 121*p**5/30 + 59*p**4/2 + 27*p**3 + 356*p**2 - 2. Factor i(g).
2*(g + 3)*(g + 27)*(4*g + 1)
Let a(l) = -l**2 + 48*l - 71. Let r(h) = 2*h + 13. Let f(g) = 4*a(g) - 20*r(g). Solve f(k) = 0.
4, 34
Let x(d) be the third derivative of 4/3*d**4 + 0 + 5*d**2 + 1/5*d**5 + 8/3*d**3 + 0*d - 1/15*d**6 - 2/105*d**7. Factor x(t).
-4*(t - 2)*(t + 1)**2*(t + 2)
Suppose 204*h**4 + 13*h - 2 + 462*h**3 + 254*h**2 + 6 + 4 - 106*h**4 - 115*h = 0. Calculate h.
-4, -1, 1/7
Let h = -33059 - -562171/17. Let r = h + -1125/119. Factor 0*f**3 + 0*f + 6/7*f**2 - r*f**4 - 3/7.
-3*(f - 1)**2*(f + 1)**2/7
Suppose -w - 2*a - 181 = 0, -a + 248 = -4*w - 458. Let o = w - -177. Solve -2/5*v**4 + 1/5*v**5 - 3/5*v**3 + 8/5*v**2 - 4/5*v + o = 0 for v.
-2, 0, 1, 2
Let c(g) = -3*g**2 + 132*g + 43937. Let r be c(145). Solve 24*m - 11/2*m**r + 1/4*m**3 + 72 = 0 for m.
-2, 12
Let v = 1974/11 - 25651/143. Let q(j) be the second derivative of -2/13*j**2 + v*j**3 + 0 - 1/78*j**4 + 3*j. Factor q(m).
-2*(m - 2)*(m - 1)/13
Let o(b) be the second derivative of b**9/13608 - b**8/7560 - b**7/3780 + b**6/1620 - 49*b**3/6 + 29*b. Let r(d) be the second derivative of o(d). Factor r(l).
2*l**2*(l - 1)**2*(l + 1)/9
Factor -10641 - 33*j**4 - 64*j**2 + j**5 + 21*j + 66*j**3 + 9*j**4 + 10641.
j*(j - 21)*(j - 1)**3
Let r be 236/(-6)*(14 + (-102340)/7301). Let h = r - 16/149. Determine k so that 0 - 2/7*k**5 + 2/7*k + 4/7*k**4 - h*k**2 + 0*k**3 = 0.
-1, 0, 1
Factor 3/4*f**5 + 0 - 123/2*f**4 - 60*f**2 + 483/4*f**3 + 0*f.
3*f**2*(f - 80)*(f - 1)**2/4
Find w such that 0 + 1/2*w**2 + 19*w = 0.
-38, 0
Let c be (-7)/(42/36) + 36. Factor 21 + 25*u + 9*u**3 - 15*u - 69*u**2 - u + c*u.
3*(u - 7)*(u - 1)*(3*u + 1)
Let f(n) = -39*n**3 - 245*n**2 - 492*n - 218. Let u(s) = -14*s**3 - 82*s**2 - 164*s - 72. Let w(a) = 6*f(a) - 17*u(a). Factor w(q).
4*(q - 21)*(q + 1)**2
Let l(o) be the third derivative of -2 - 22*o**2 + 0*o**4 + 0*o**3 + 1/60*o**6 + 0*o + 4/3*o**5. Factor l(z).
2*z**2*(z + 40)
Determine q so that 1/5*q**4 + 3*q**2 - 4 - 4/5*q + 8/5*q**3 = 0.
-5, -2, 1
Let w(g) be the second derivative of g**7/294 - 5*g**6/21 - 157*g**5/140 - 53*g**4/42 - 2*g - 200. Let w(r) = 0. Calculate r.
-2, -1, 0, 53
Let h(c) = -4*c**2 + 352*c + 1137. Let a(g) = 12*g**2 - 1056*g - 3396. Let b(w) = 3*a(w) + 8*h(w). Determine q, given that b(q) = 0.
-3, 91
Let u(r) be the third derivative of -r**11/1330560 + r**10/302400 + r**9/80640 - 17*r**5/30 + 166*r**2. Let f(b) be the third derivative of u(b). Factor f(n).
-n**3*(n - 3)*(n + 1)/4
Suppose 20 + 6*f - 6*f**3 - 98/5*f**2 - 2/5*f**4 = 0. Calculate f.
-10, -5, -1, 1
Let u = -615534 + 3077682/5. What is z in -11/5 + u*z - 1/5*z**2 = 0?
1, 11
Let d(b) be the second derivative of -3*b**5/160 - 65*b**4/32 + 33*b**3/8 + 194*b + 1. Factor d(g).
-3*g*(g - 1)*(g + 66)/8
Let b = 257 + -4881/19. Let s be (-1235)/(-361) + -4*(-12)/(-16). Factor 2/19*h + 12/19*h**3 + 0 + s*h**4 + b*h**5 + 8/19*h**2.
2*h*(h + 1)**4/19
Let a = -396486 - -792989/2. Solve 7/2*o**2 + 9/2 + a*o - 1/2*o**3 = 0 for o.
-1, 9
Suppose -6*o + p = -3*o - 4, 5*o = 5*p - 10. Factor 11*b**3 + b**3 + 4*b**2 + 4*b**4 + 8*b**o + 12*b**2.
4*b**2*(b + 1)*(b + 4)
Factor -4/7*m**3 - 184/7*m**2 + 0 - 180/7*m.
-4*m*(m + 1)*(m + 45)/7
Let x(l) be the third derivative of 0*l + 0*l**4 + 0*l**3 + 1/105*l**7 + 1/5*l**6 + 0*l**5 + 50*l**2 - 1. Factor x(n).
2*n**3*(n + 12)
Let m(g) be the second derivative of -3*g**5/20 + 981*g**4/4 - 320787*g**3/2 + 104897349*g**2/2 + 24*g. What is d in m(d) = 0?
327
Let d = 9113/36500 - -3/9125. Let n(m) be the first derivative of 4*m - 20 + d*m**4 - 1/3*m**3 - 2*m**2. Factor n(q).
(q - 2)*(q - 1)*(q + 2)
Suppose 6*b - 38 = 4*b. Suppose a - 3*o = b, 3*a - 35 = -2*a + 3*o. Suppose 9*y**3 - a + 3*y**3 + 15*y - 2 + 33*y**2 = 0. Calculate y.
-2, -1, 1/4
Let j(o) be the second derivative of 0*o**2 + 4/3*o**4 + 2*o**3 - 8/15*o**6 + 4 - 2/21*o**7 - 4*o - 2/5*o**5. Determine n, given that j(n) = 0.
-3, -1, 0, 1
Let f = -120 - -138. Suppose -3*y = f - 24. Factor -4*g**y + 2*g + 1 - 1 - 2*g**3 + 3 + g**4.
(g - 3)*(g - 1)*(g + 1)**2
Let s(v) be the second derivative of v**7/1260 + v**6/45 - v**4/4 - 4*v**3/3 + 66*v - 2. Let g(i) be the third derivative of s(i). What is z in g(z) = 0?
-8, 0
Suppose -4*t - 5132 - 660 = 0. Let q = t + 10154/7. Factor -8/7 + 40/7*d - q*d**2.
-2*(d - 2)*(9*d - 2)/7
Suppose 0 = 3*n - 2*n + 3. Let q(k) = 56*k + 148*k + 101*k + 40*k**2 + 122 + 118. Let j(g) = -5*g**2 - 38*g - 30. Let d(r) = n*q(r) - 25*j(r). Factor d(z).
5*(z + 1)*(z + 6)
Let l(c) be the second derivative of -c**7/840 - c**6/360 + c**5/15 + c**4/2 + 43*c**3/6 - c. Let d(i) be the second derivative of l(i). Factor d(t).
-(t - 3)*(t + 2)**2
Let n(d) be the first derivative of 4/15*d**3 + 8/5*d**2 - 112 + 0*d. Factor n(u).
4*u*(u + 4)/5
Let j(p) = -p**3 - p**2 + 52*p - 53. Let w be j(6). Let o(g) be the first derivative of -1/8*g**4 + 1/2*g**3 + 0*g + w - 1/2*g**2. Determine k so that o(k) = 0.
0, 1, 2
Suppose -398*d - 291*d = 291*d. Let f = 2 - -3. Find v such that d*v + 0 - 3/5*v**f - 9/5*v**4 - 9/5*v**3 - 3/5*v**2 = 0.
-1, 0
Let w(h) be the third derivative of -h**6/1440 + h**5/120 - h**4/24 - 19*h**3/2 - 72*h**2. Let b(r) be the first derivative of w(r). Factor b(u).
-(u - 2)**2/4
Determine b so that 17 - 3872*b**3 + 354*b**2 + 3929*b**3 + 7 - 228*b - 35*b**4 - 55*b**4 = 0.
-2, 2/15, 1/2, 2
Let x be (1/1)/((-104)/(-520)). Let l(p) be the second derivative of 3/4*p**4 + 0*p**x + p**3 + 35*p + 0*p**2 + 0 - 1/10*p**6. Factor l(d).
-3*d*(d - 2)*(d + 1)**2
Factor 63/4*g**2 - 1/4*g**3 - 91/2*g + 30.
-(g - 60)*(g - 2)*(g - 1)/4
Suppose 0 = 4*v, 0 = 389*o - 387*o - v + 24. Let i be (-2)/((-4)/13) + (-16 - o). Factor 0 + 0*g**2 + 4*g**4 - 2*g**3 + i*g**5 + 0*g.
g**3*(g + 2)*(5*g - 2)/2
Suppose 0 = -5*y + 5*a + 50, 0*y + y - 16 = -a. Let i(o) = o + 8. Let z be i(-6). Find u such that -10*u + 2*u**2 + y*u**z + u**3 - u**3 - 5*u**3 = 0.
0, 1, 2
Factor 3 + 29*z - 507 - 2*z - 159*z - 144 - 4*z**2.
-4*(z + 6)*(z + 27)
Let i(c) be the second derivative of c**7/49 - 169*c**6/70 + 177*c**5/20 - 35*c**4/4 - 83*c**3/14 + 123*c**2/7 + 128*c - 7. Determine u, given that i(u) = 0.
-1/2, 1, 82
Let l(t) = t**3 - 4*t + 11064. Let k be l(0). Factor k*i - 2*i**2 - 10998*i + 4*i**2.
2*i*(i + 33)
Let w(b) be the first derivative of b**4/18 - 106*b**3/27 + 196*b**2/9 - 4624. Factor w(y).
2*y*(y - 49)*(y - 4)/9
Let k = -274 + 7673/28. Let w(t) be the third derivative of 17*t**2 + 0 + 0*t - 1/42*t**5 + 1/210*t**6 + k*t**4 + 0*t**3. Solve w(r) = 0.
0, 1, 3/2
Let p be 1/(-6) + 763/4200. Let f = 71/600 + p. Determine l so that -2/3*l**3 - 16/15*l**2 - f*l**4 - 8/15*l + 0 = 0.
-2, -1, 0
Let l(x) = -26*x**2 + 807*x - 11. Let v be l(31). Let h(m) be the first derivative of -21/2*m**2 - v - m**3 - 18*m. Factor h(z).
-3*(z + 1)*(z + 6)
Suppose 0 = 5*m - 65 + 30. Suppose 3*f + 16 = 5*k, 8*f = -k + m*f. Find q, given that -3/7*q**3 - 3/7 + 3/7*q**k + 3/7*q = 0.
-1, 1
Let c = 214/217 + 34/217. Suppose -1/7*y**2 - c + 6/7*y = 0. Calculate y.
2, 4
Let m(h) be the first derivative of -2*h**6/21 + 22*h**5/35 + 109*h**4/14 + 38*h**3/3 - h**2 - 88*h/7 - 4914. Determine f, given that m(f) = 0.
-4, -1, 1/2, 11
Let z(w) = 3*w**4 - 14*w**3 + 59*w**2 - 99*w + 54. Let p(f) = -2*f**4 + f**3 - 2*f**2. Let k(v) = -p(v) - z(v). Factor k(t).
-(t - 6)*(t - 3)**2*(t - 1)
Let 3/5*u**4 + 9/5*u**3 + 0 + 0*u + 0*u**2 = 0. Calculate u.
-3, 0
Let z = -178128 + 178130. Determine l, given that 0 + 2/11*l**z - 3/11*l + 1/11*l**3 = 0.
-3, 0, 1
Find u such that 3/2*u**3 - 51/2*u**2 - 525/2 + 285/2*u = 0.
5, 7
Let p(d) be the first derivative of 2/5*d**5 + d**2 - 1/2*d**4 - 2/3*d**3 + 126 + 0*d. Factor p(r).
2*r*(r - 1)**2*(r + 1)
Let i(j) = -3275*j + 49125. Let y be i(15). Solve -10/11*h**4 + y - 14/11*h**5 + 0*h**2 + 4/11*h**3 + 0*h = 0 for h.
-1, 0, 2/7
Let d = -5981 - -5981. Let n(g) be the third derivative of d - 2/3*g**4 + 0*g - 1/6*g**5 - 4/3*g**3 - 1/60*g**6 - 20*g**2. Factor n(x).
-2*(x + 1)*(x + 2)**2
Let l = -54638 + 54642. What is o in 18/7*o - 10/21*o**3 + 4/7*o**l - 12/7*o**2 - 20/21 = 0?
-2, 5/6, 1
Find c such that 19/2*c**2 + 81/2 - 1/2*c**3 - 99/2*c = 0.
1, 9
Let o be ((-42)/(-35))/(12/20). Let n(l) be the first derivative of -4*l - 2/5*l**5 - 6*l**3 - 5/2*l**4 - 14 - 7*l**