*p**4 = 0 for p.
-5, -2, -1
Let v(j) be the third derivative of -1/180*j**5 + 0*j**3 - 41*j**2 + 0*j + 1/72*j**4 + 0. Suppose v(f) = 0. Calculate f.
0, 1
Let g = 1351 - 1347. Let u(f) be the first derivative of 4*f**2 + 4*f - g + 4/3*f**3. Factor u(o).
4*(o + 1)**2
Let l(m) be the second derivative of m**5/15 - 55*m**4/3 + 6050*m**3/3 - 332750*m**2/3 + 47*m. Determine a so that l(a) = 0.
55
Let b be ((-3 - -2)/(-20))/((-46)/(-115)). Let x(z) be the third derivative of -3*z**2 + 0 - 1/4*z**4 + 0*z**3 + 3/20*z**5 + 0*z + b*z**6. Factor x(h).
3*h*(h + 1)*(5*h - 2)
Let j(r) be the second derivative of r**5/4 + 10*r**4 - 125*r**3/6 + 2*r - 5. Factor j(k).
5*k*(k - 1)*(k + 25)
Let q(f) = f**4 + f**3 + f - 1. Let t(d) = 4*d**3 + d**2 + 2*d**5 - d - d**5 - 4*d**4 - 10*d**3 + 3. Let j(r) = 3*q(r) + t(r). Factor j(b).
b*(b - 2)*(b - 1)*(b + 1)**2
Let j(i) = i**3 - 2. Let r(y) = -y + 7. Let h be r(5). Let x be j(h). Factor 4*o + 3*o - 6 - 4*o + 6*o + x*o**2 + 3*o**5 - 12*o**3.
3*(o - 1)**3*(o + 1)*(o + 2)
Suppose 0 = 2*p - 5 + 1. Factor 44*i + 36*i**p - 2*i - 4*i**4 + 6*i**3 + i**4 + 15.
-3*(i - 5)*(i + 1)**3
Suppose -15 - 15 = 3*o. Let f = -8 - o. Factor 2 - f*y**2 - y**2 - y**2 - 4*y + 4*y**3 + 2.
4*(y - 1)**2*(y + 1)
Let o be 93 + -1 - 2/(-4)*2. Let p = 95 - o. Let -4/9*u + 2/9*u**p + 2/9 = 0. Calculate u.
1
Let t = 6073 + -30363/5. Factor -2/5*w**3 + 2/5*w**2 - t*w**4 + 2/5*w + 0.
-2*w*(w - 1)*(w + 1)**2/5
Let z(c) = 3*c**2 - 2*c - 16. Let m(n) = -2*n**2 + 8. Let k(i) = -5*m(i) - 2*z(i). Factor k(h).
4*(h - 1)*(h + 2)
Let q(z) be the second derivative of 1/36*z**3 - 1/120*z**5 + 0 + 1/6*z**2 - 1/24*z**4 + 1/180*z**6 + 8*z. Factor q(g).
(g - 2)*(g - 1)*(g + 1)**2/6
Let z(f) = 2*f**3 + 1. Let g(x) = -4*x**4 - 4*x**3 + 27*x**2 + 54*x - 77. Let l(t) = 2*g(t) - 8*z(t). Factor l(o).
-2*(o + 3)**2*(2*o - 3)**2
Let g be (-1)/18*94 + 4/18. Let q be 2/g*360/(-42). Solve 8/7 + 22/7*h**2 - 6/7*h**3 - q*h = 0.
2/3, 1, 2
Let o = -25133 + 276467/11. Solve 2/11*k**3 + o*k - 6/11*k**2 + 0 = 0 for k.
0, 1, 2
Let j(n) = n**4 - 18*n**3 + 13*n**2 + 34*n + 4. Let o(t) = -12*t**4 + 234*t**3 - 168*t**2 - 441*t - 54. Let p(k) = 27*j(k) + 2*o(k). Factor p(h).
3*h*(h - 4)*(h - 3)*(h + 1)
Let x = -15606 - -15609. Suppose 0 + 0*k + 1/2*k**2 - k**x = 0. Calculate k.
0, 1/2
Factor 2/3*m + 8/15 + 2/15*m**2.
2*(m + 1)*(m + 4)/15
Let j(s) be the first derivative of -s**8/252 + 2*s**7/105 - 4*s**5/45 + 9*s**2/2 + 7. Let g(i) be the second derivative of j(i). Solve g(p) = 0 for p.
-1, 0, 2
Let t(k) = -12 + 5 + 2*k - 6 - 3*k. Let m be t(-17). What is h in 8 + 16 - 12*h**2 - 31*h + m*h**4 - 8 + 8*h**3 + 15*h = 0?
-2, 1
Let y(m) be the first derivative of m**4/10 + 4*m**3/5 + 12*m**2/5 + 16*m/5 + 126. Find g, given that y(g) = 0.
-2
Let t(b) be the third derivative of -b**7/105 - b**6/20 - b**5/10 - b**4/12 + 89*b**2. Solve t(i) = 0.
-1, 0
Let t(h) be the third derivative of -1/60*h**5 + 0 - 6*h**2 - 1/6*h**3 + 1/12*h**4 + 0*h. Solve t(g) = 0 for g.
1
Let w(u) be the second derivative of -2*u**6/3 + 3*u**5/4 + 20*u**4/3 - 10*u**3 - u + 20. Find d such that w(d) = 0.
-2, 0, 3/4, 2
Factor 0*s**2 + 0*s - 2/11*s**3 + 0*s**4 + 0 + 2/11*s**5.
2*s**3*(s - 1)*(s + 1)/11
Let r be 18/8 - 12/(-16). Suppose -4*w - 2 + 14 = 0. Determine c so that -14*c + 21*c - w*c**r + 12*c**2 - 16*c = 0.
0, 1, 3
Let j(r) = 4*r**2 + 56*r - 65. Let t(z) = -1. Let m(k) = j(k) - 5*t(k). What is w in m(w) = 0?
-15, 1
Let y be -7*(4 + 1 + -4). Let g be 168/y*(-10)/4. Factor 16 + g*s**2 - 52*s**3 + 31*s + 57*s - 2*s**3.
-2*(s - 2)*(3*s + 2)*(9*s + 2)
Suppose 0 = -u - t - 1, -t = -u - 0*u + 9. Factor -12 - 6*k + u*k**3 + 12 + 4*k**2 + 2*k - 4*k**4.
-4*k*(k - 1)**2*(k + 1)
Factor 8/3 + 2/3*x**2 - 10/3*x.
2*(x - 4)*(x - 1)/3
Let j be 6/(-2*18/(-528)). Suppose u - 4 = -u. Let -12 - j*y**u + 0*y - 8*y + 92*y**2 = 0. What is y?
-1, 3
Let g = 3151 + -3151. Let r(b) be the third derivative of 7*b**2 + 1/80*b**5 + 0*b + 5/96*b**4 + 1/12*b**3 + g. Let r(q) = 0. Calculate q.
-1, -2/3
Let n(v) be the second derivative of -v**6/45 + 13*v**5/30 - 55*v**4/18 + 25*v**3/3 - v + 5. Suppose n(m) = 0. Calculate m.
0, 3, 5
Let a(g) be the third derivative of g**8/84 - 2*g**7/35 - 2*g**6/15 + 16*g**5/15 - 32*g**3/3 + g**2 + 7*g. Solve a(r) = 0.
-2, -1, 2
Let z(p) be the second derivative of -p**5/20 - 7*p**4/12 + 5*p**3 + 12*p + 12. Determine c, given that z(c) = 0.
-10, 0, 3
Factor f**2 - 3/5*f + 11/5*f**3 + 3/5*f**4 + 0.
f*(f + 1)*(f + 3)*(3*f - 1)/5
Let g = 1071 + -1069. Factor 0 + 0*z**3 + 0*z + 3/4*z**g - 3/4*z**4.
-3*z**2*(z - 1)*(z + 1)/4
Suppose -52*v - 4 = -54*v. Let o = -6/7 - -32/21. What is h in -o - 8/9*h - 2/9*h**v = 0?
-3, -1
Suppose -5*p = 0, 2*w + 2*w + 4*p = 72. Suppose 0 = -4*m - 2 + w. Solve 44*f**2 - 48*f**4 - 18*f**5 - 5*f**3 + 26*f - 7*f**3 + m + 4*f**3 = 0 for f.
-2, -1, -1/3, 1
Suppose -8 = -2*k + 12. Let n be 9/((-18)/(-40)) - 3. Factor g - 2*g**3 + g**3 - 8 - g**3 - k*g**2 - n*g.
-2*(g + 1)*(g + 2)**2
Factor -43*d**3 - 68*d**3 - 259*d**2 - 3*d**4 + 3360*d - 502*d**2 - 275*d**2 + 190*d**2 - 2400.
-3*(d - 2)*(d - 1)*(d + 20)**2
Suppose 3*u - 1 - 14 = 0. Suppose -2*z + 5*f = -1, 5*z - 11 = 3*f + 1. Factor 3*l**u + 3*l**5 - 4*l**5 + z*l**4 - 5*l**5.
-3*l**4*(l - 1)
Let -212*h**2 - 545/2*h**3 + 0 - 25/2*h**4 - 42*h = 0. Calculate h.
-21, -2/5, 0
Let k(y) = 18*y + 23. Let p be k(7). Let 14*l**2 - 2711 - 1215*l + 988 - p*l**2 - 1922 - 5*l**3 = 0. Calculate l.
-9
Let x = 2633/12450 - 17/83. Let l(b) be the third derivative of 0 - 3*b**2 - 1/300*b**6 + 0*b + 1/60*b**4 + x*b**5 - 1/15*b**3. Solve l(f) = 0 for f.
-1, 1
Let y(d) = 7*d**2 + 4*d - 16. Let n(v) = -4*v**2 - 2*v + 8. Let h(a) = -5*n(a) - 3*y(a). Factor h(w).
-(w - 2)*(w + 4)
Suppose -33 + 28 = 5*s. Let f be 10 + s*(-2)/(-2). Factor f*o**4 + 5*o**4 + 3*o**4 - 6*o**5 - 15*o**4.
-2*o**4*(3*o - 1)
Let s(t) = t**3 + 166*t**2 - 9408*t + 175614. Let u(a) = 6*a**3 + 829*a**2 - 47040*a + 878069. Let p(d) = -11*s(d) + 2*u(d). Factor p(b).
(b - 56)**3
Suppose 6*f - 4 = 5*f. Find w, given that -4*w**3 - 4*w + 818*w**4 - 4*w**3 - 816*w**f + 10*w**2 = 0.
0, 1, 2
Factor 3/5*w**3 + 3/5*w**4 + 0*w + 0 - 6/5*w**2.
3*w**2*(w - 1)*(w + 2)/5
Let q(m) = 9*m**3 + 25*m**2 - 53*m + 15. Let a(o) = -27*o**3 - 77*o**2 + 160*o - 45. Let f(s) = -4*a(s) - 11*q(s). What is k in f(k) = 0?
-5, 1/3, 1
Let f = 549 - 549. Let s = 47/4 + -211/20. Suppose f*k - 2/5*k**5 - 2/5*k**2 - s*k**4 - 6/5*k**3 + 0 = 0. Calculate k.
-1, 0
Let x be 25/15*3 + -3. Find q, given that 3*q**5 - 12*q**x - 9*q**3 + 2*q**4 - 6*q - 3*q**5 + 3*q**5 + 2*q = 0.
-1, -2/3, 0, 2
Find t such that -2/5*t**5 + 0*t + 0*t**2 - 4/5*t**3 + 0 - 6/5*t**4 = 0.
-2, -1, 0
Suppose 15 - 3 = 6*i. Factor 3 + 19*p**i - 19 + 5*p**3 - p**3 - 7*p**2.
4*(p - 1)*(p + 2)**2
Let p(d) be the second derivative of d**7/70 + d**6/25 - d**4/10 - d**3/10 + 57*d + 3. Determine j, given that p(j) = 0.
-1, 0, 1
Factor -4/7*x**2 + 88/7*x - 484/7.
-4*(x - 11)**2/7
Let o(p) = p**3 + 17*p**2 + 16*p + 5. Let b be o(-16). Factor -4*q**3 + q**3 + q + q**b + q**3.
q*(q - 1)**2*(q + 1)**2
Find t, given that -24*t**3 + 112/5*t**5 - 4/5*t**2 + 0 + 4/5*t**4 + 8/5*t = 0.
-1, -2/7, 0, 1/4, 1
Find d, given that -11*d + 15617 + 30*d - 15622 + 5*d**2 - d**2 = 0.
-5, 1/4
Let r be 35*(-4 + (-4)/1). Let z be (4/(-5))/(14/r). Factor -16 - 4*k**3 - 4*k**2 + z.
-4*k**2*(k + 1)
Let v(b) be the first derivative of -b**4/26 + 4*b**3/39 + 3*b**2/13 - 154. Factor v(s).
-2*s*(s - 3)*(s + 1)/13
Suppose x = 2*f - 214, -3*f + 213 = -5*x - 94. Let c = f - 217/2. Determine r, given that 1/2 + c*r**4 + 1/4*r - 1/2*r**3 - r**2 + 1/4*r**5 = 0.
-2, -1, 1
Let n be (-21)/(-34) - -24*28/(-5712). Solve n - o**3 + o - 1/2*o**4 + 0*o**2 = 0.
-1, 1
Let n be ((-112)/35)/((-3)/(-35)). Let l = -37 - n. Solve -1/3*f**2 + 0*f - f**4 + 0 + l*f**5 + f**3 = 0.
0, 1
Let h(p) be the third derivative of -p**6/24 - 3*p**5/40 + p**4/16 + p**3/6 - 197*p**2. Factor h(u).
-(u + 1)*(2*u - 1)*(5*u + 2)/2
Let c(u) be the third derivative of -u**8/336 + 2*u**7/21 - 6*u**6/5 + 36*u**5/5 - 18*u**4 + 518*u**2. Find s such that c(s) = 0.
0, 2, 6
Factor -60*x**3 + 41*x**4 - 41 - 40*x + 41 + 4*x**5 - 45*x**4 - 92*x**2.
4*x*(x - 5)*(x + 1)**2*(x + 2)
Let d(r) be the first derivative of 4/3*r**3 + 0*r + 10 + 0*r**2 + r**4. Factor d