/5*y**3 + 0 + 0*y**2 + 0*y - 1/5*y**4.
-y**3*(y - 2)/5
Let g(j) = j**3 - 8*j**2 + 7*j + 9. Let b(u) be the second derivative of -u**4/12 + u**3/6 + u**2/2 - 6*u. Let x(c) = 36*b(c) - 4*g(c). Factor x(n).
-4*n*(n - 1)*(n + 2)
Let u = -941 - -941. Let x(j) be the second derivative of u + 1/24*j**4 + 1/2*j**2 - 3*j - 1/4*j**3. Determine r so that x(r) = 0.
1, 2
Factor 5/6 - 1/6*f**2 - 2/3*f.
-(f - 1)*(f + 5)/6
Factor -4/3*y**4 + 0 + 8*y**2 + 4/3*y**3 + 0*y.
-4*y**2*(y - 3)*(y + 2)/3
Factor -240*x - 53 - 8 - 444*x**2 + 36*x**4 + 1 + 172*x**2 - 4 - 60*x**3.
4*(x - 4)*(x + 1)*(3*x + 2)**2
Determine q, given that 32/5*q + 2*q**3 + 0 - 162/5*q**2 = 0.
0, 1/5, 16
Let q(p) be the first derivative of -3*p**5/5 - 15*p**4/4 + 3*p**3 + 39*p**2/2 - 30*p + 620. Factor q(d).
-3*(d - 1)**2*(d + 2)*(d + 5)
Suppose 0*p = -p + 3. Factor 9*o + 2*o**3 + 4*o**p + 2*o**2 - 5*o**3 - 8*o.
o*(o + 1)**2
Let x(v) = -v**2 - 12*v - 5. Let i(o) = 3*o**2 + 30*o + 12. Suppose 2*j + j + 15 = 0. Let m(u) = j*i(u) - 12*x(u). Let m(c) = 0. Calculate c.
-2, 0
Let r(p) be the first derivative of 3*p**5/25 - 9*p**4/20 - 9*p**3/5 - 3*p**2/2 + 627. Factor r(d).
3*d*(d - 5)*(d + 1)**2/5
Let m(q) = 2*q**3 - 4*q**2 + 8*q + 6. Let u(g) = -8 - 4*g**2 + 2*g**3 + 7*g + 7 + 6. Let k(i) = -5*m(i) + 6*u(i). Factor k(w).
2*w*(w - 1)**2
Let o(z) be the first derivative of -z**6/180 - z**5/20 - z**4/6 + 2*z**3/3 + 4*z - 12. Let w(p) be the third derivative of o(p). Find j, given that w(j) = 0.
-2, -1
Let s(g) be the second derivative of 3*g + 0 - 1/25*g**5 - 7/600*g**6 - 1/40*g**4 - 3/2*g**2 + 1/15*g**3. Let q(r) be the first derivative of s(r). Factor q(o).
-(o + 1)**2*(7*o - 2)/5
Suppose 23*o = 22*o + 2. Suppose -o*k = 5*h - 10, -5*k - 3 = 5*h - 13. Factor 2/9*n**h + 0*n + 0.
2*n**2/9
Let h(o) be the second derivative of o**5/130 - 6*o**4/13 - 25*o**3/13 - 38*o**2/13 - 5*o - 28. Factor h(i).
2*(i - 38)*(i + 1)**2/13
Suppose h + 3 - 2 = 3*w, -4*h = 2*w + 32. Let p(g) = 4*g**3 - g**2 - 10*g. Let d(u) = -u**3 + 3*u. Let q(t) = h*d(t) - 2*p(t). Factor q(k).
-k*(k - 1)**2
Factor 86*i - 12*i - 4*i**2 + 77*i + 9*i - 1600.
-4*(i - 20)**2
Let d(h) be the first derivative of 14*h**5/85 - 53*h**4/34 - 56*h**3/51 + 32*h**2/17 - 566. Determine x so that d(x) = 0.
-1, 0, 4/7, 8
Let 64/5*b**2 - 64/5*b**4 + 0 + 2/5*b**5 - 68/5*b**3 + 66/5*b = 0. Calculate b.
-1, 0, 1, 33
Let f(j) = -39*j**2 + 275*j - 11. Let v be f(7). What is k in -3*k**v + 3/2*k + 3/2*k**5 - 3/4 - 3/4*k**4 + 3/2*k**2 = 0?
-1, 1/2, 1
Let g(k) = -k**3 + k**2 + k - 1. Let y = -39 - -40. Let m(b) = -b**3 - 3*b**2 + 10*b - 6. Let u(x) = y*m(x) - 2*g(x). Suppose u(z) = 0. What is z?
1, 2
Let t be -1*(0 + 1 + -3). Solve -12*r**2 - 2*r**4 - 4*r**3 + 4*r + 12*r**t + 2 = 0 for r.
-1, 1
Let h = -916 - -8246/9. Suppose a + 0*a + 3 = 2*x, 6 = 5*x - 4*a. Let 2/3*t + 4/9 + h*t**x = 0. What is t?
-2, -1
Suppose 6*k - 3*k = 0. Let t = 447/38 - 214/19. Factor k + 0*g + t*g**2.
g**2/2
Let a(u) be the third derivative of -u**6/210 - u**5/35 + 132*u**2 + 3. Let a(m) = 0. Calculate m.
-3, 0
Factor 0 - 3/4*h**4 + 3*h + 3/4*h**2 - 3*h**3.
-3*h*(h - 1)*(h + 1)*(h + 4)/4
Let c be (4*(-2)/8)/((-104)/32). Factor 0*r**2 + 2/13*r**4 - c*r + 4/13*r**3 - 2/13.
2*(r - 1)*(r + 1)**3/13
Let r(w) be the third derivative of 3*w**7/70 + 3*w**6/40 + w**5/20 + w**4/72 - 40*w**2. Factor r(f).
f*(3*f + 1)**3/3
Let u(v) be the third derivative of v**7/42 - v**5/4 + 5*v**4/12 - 39*v**2 - 1. Let u(h) = 0. What is h?
-2, 0, 1
Let 34/5*q**3 - 96/5 - 2/5*q**4 - 136/5*q**2 + 40*q = 0. What is q?
1, 2, 12
Suppose o = 2*r + 18, -4*o - 4*r = -0*o - 48. Let c be o/((-112)/(-12)) + (1 - 1). Factor 0 + 0*g**2 + c*g + 3/2*g**5 + 0*g**4 - 3*g**3.
3*g*(g - 1)**2*(g + 1)**2/2
Let d(p) be the first derivative of p**6/810 + p**5/54 - p**4/9 - 35*p**3/3 - 9. Let h(a) be the third derivative of d(a). Solve h(k) = 0.
-6, 1
Let a(h) = h**3 + 11*h**2 + 16*h + 2. Let f be a(-2). Let b(k) be the second derivative of -f*k - 1/7*k**2 - 1/21*k**3 + 0 + 1/42*k**4 + 1/70*k**5. Factor b(j).
2*(j - 1)*(j + 1)**2/7
Let i(h) = 22*h**2 + 49*h + 27. Let l(x) = 10*x**2 + 24*x + 14. Let p(a) = 4*i(a) - 9*l(a). Factor p(q).
-2*(q + 1)*(q + 9)
Let v be (0 - -2) + 4 + -4 + 0. Suppose n**2 + n**2 - 4*n**4 + 4*n**5 - 10*n**3 - v*n**3 + 2*n**2 + 8*n = 0. Calculate n.
-1, 0, 1, 2
Let c(r) = -r**2 - 6*r - 6. Let l be c(-2). Factor 12*w**l + 8*w**2 - 12*w**4 - 12*w**3 - 4*w**5 + 10*w**2 - 34*w**2.
-4*w**2*(w + 1)**3
Let 14*j**4 + 8/3*j + 0 + 16*j**2 + 8/3*j**5 + 74/3*j**3 = 0. Calculate j.
-2, -1, -1/4, 0
Let v be (-121)/(-7920)*66 - 1. Let c(g) be the third derivative of -v*g**5 + 1/12*g**3 + 0*g + 0*g**4 - 11*g**2 + 0. Factor c(p).
-(p - 1)*(p + 1)/2
Let l(d) = -4*d + 107. Let g be l(24). Suppose -8*m = -5 - g. Determine c so that 0*c**m - 2/11*c**3 + 4/11 + 6/11*c = 0.
-1, 2
Let v(p) be the first derivative of 0*p**3 - 2/15*p**5 + 0*p + 1/36*p**6 + 1/8*p**4 + 41 + 0*p**2. Determine r so that v(r) = 0.
0, 1, 3
Let f(j) = -5*j**2 + 22*j + 2. Let h(t) = -2*t**2 + 3*t + 1. Let c(m) = 3*f(m) - 6*h(m). Suppose c(a) = 0. What is a?
0, 16
Let p(j) be the second derivative of j**7/49 + 13*j**6/105 + 2*j**5/35 - 384*j. Factor p(v).
2*v**3*(v + 4)*(3*v + 1)/7
Let p(u) be the first derivative of u**5/5 + 3*u**4/4 - 16*u**3/3 + 6*u**2 - 65. Factor p(h).
h*(h - 2)*(h - 1)*(h + 6)
Let y = -2027 + 4055/2. Factor -1/2*g**3 + 0 + 0*g**2 + y*g**5 + 0*g + 0*g**4.
g**3*(g - 1)*(g + 1)/2
Factor 0 - 64/3*b**2 - 40/3*b - 2*b**3.
-2*b*(b + 10)*(3*b + 2)/3
Suppose -13 = -5*g + 2. Determine b, given that b**g - 2*b**2 + b**2 + b**3 - 4*b - b**2 = 0.
-1, 0, 2
Suppose 4*j = -3*t + 5*j + 13, 3 = -3*j. Suppose t*k - 5 = 7. Let 0*m - 3*m**3 + 3*m**k - 3*m**3 + 3*m = 0. What is m?
-1, 0, 1
Let q = 17 + -14. Factor -i**3 - 4*i**q + 71*i**2 - 66*i**2.
-5*i**2*(i - 1)
Let s(f) be the first derivative of 3/2*f**5 + 1/8*f**6 + 6*f**2 - 43 + 0*f + 10*f**3 + 99/16*f**4. Find i such that s(i) = 0.
-4, -1, 0
Let n be (7 + -27)*1*-1. Suppose -v - 12 = -n. Let -v*c**2 + 6*c**2 - 5 - 3 + 8*c = 0. Calculate c.
2
Factor -3/5*p**2 + 0*p - 108/5*p**3 + 0.
-3*p**2*(36*p + 1)/5
Factor -184*w**3 + 191970926 + 2/7*w**4 - 4769464*w + 44436*w**2.
2*(w - 161)**4/7
Let n(a) = -10*a**4 - 28*a**3 - 14*a**2 + 4*a + 5. Let u(c) = 306*c**4 - 301*c**4 + 14*c**3 + 7*c**2 - 2*c - 1 - 2. Let o(p) = -6*n(p) - 10*u(p). Factor o(q).
2*q*(q + 1)*(q + 2)*(5*q - 1)
Suppose -3*y = 4*p + 121, y + 31 = 2*p + 4. Let h = y + 37. Solve -2*o**2 + 2/3*o**3 + h*o - 2/3 = 0.
1
Determine t, given that -2/11*t**2 - 32/11*t + 72/11 = 0.
-18, 2
Let m(o) be the second derivative of 2*o**6/135 - o**5/45 - o**4/27 + 2*o**3/27 - 8*o + 5. Factor m(z).
4*z*(z - 1)**2*(z + 1)/9
Let f(j) be the third derivative of -j**6/24 + j**5/2 - 15*j**4/8 - 2*j**2 + 30*j. Factor f(x).
-5*x*(x - 3)**2
Suppose -c - 2*b + 10 = 0, 2*c + b = 4*b - 1. Let x be 6/c + (-361)/342. Factor -2/3*f - 2/9*f**2 - x.
-2*(f + 1)*(f + 2)/9
Suppose 3*i + 15 = -2*p, -5*p - i - 4*i = 25. Suppose 0*q + 6 = 3*q. Factor q*v**2 + 3 - 5 + 0 + v + p - v**3.
-(v - 2)*(v - 1)*(v + 1)
Let p(y) be the third derivative of -y**7/5040 + y**6/540 + 11*y**5/720 + y**4/24 - 25*y**3/6 - 38*y**2. Let t(l) be the first derivative of p(l). Factor t(r).
-(r - 6)*(r + 1)**2/6
Let t(y) be the first derivative of -95*y**4/16 + 31*y**3/4 + 24*y**2 + y + 88. Suppose t(g) = 0. What is g?
-1, -2/95, 2
Suppose -23*a - 35 = -104. Let v(n) be the second derivative of 6*n + 1/3*n**a - 1/36*n**4 + 0 - 3/2*n**2. Factor v(d).
-(d - 3)**2/3
Suppose 0 = 93*h - 87*h - 12. Let m(p) be the first derivative of h - p**4 + 4*p**2 + 0*p - 4/3*p**3. Let m(b) = 0. Calculate b.
-2, 0, 1
Factor 79/4 + 20*p + 1/4*p**2.
(p + 1)*(p + 79)/4
Determine r so that 9/4*r**2 + 7/4*r**3 - 5/2 + 1/4*r**4 - 7/4*r = 0.
-5, -2, -1, 1
Suppose 42*p - 44*p = 64. Let d be (-3)/2 - (p + 28). Factor -d*u**4 + u**3 + 0 - u + 5/2*u**2.
-u*(u - 1)*(u + 1)*(5*u - 2)/2
Let l(y) be the second derivative of -y**6/150 + 7*y**5/100 - 17*y**4/60 + 17*y**3/30 - 3*y**2/5 - 3*y. Find p, given that l(p) = 0.
1, 2, 3
Let q(g) be the third derivative of -4*g**2 + 0 + 0*g - 1/12*g**3 + 1/480*g**6 - 1/96*g**4 + 1/120*g**5. Factor q(l).
(l - 1)*(l + 1)*(l + 2)/4
Let h(c) be the second derivative of -c**7/2100 + c**6/900 + c**5/150 + 5*