2*l = 0. Suppose 5*p + 5 + 25 = 5*q, -2*p = n*q - 2. Solve 9/7*h**3 - 3/7*h**5 + 0 + 0*h + 0*h**4 - 6/7*h**q = 0.
-2, 0, 1
Let c(w) = -2*w + 15. Let n be c(8). Let q be (-8 + 3)*-1 + n. Factor v**2 + 0*v**2 + v**3 - 3*v**3 - 3*v**2 + q*v.
-2*v*(v - 1)*(v + 2)
Let k = -2380 - -2380. Determine w so that -2/15*w**2 + 2/15 + k*w = 0.
-1, 1
Let z = 645 - 641. Let j(g) be the second derivative of -2*g + 1/3*g**z + 0 + 0*g**2 - 1/20*g**5 - 2/3*g**3. Let j(i) = 0. Calculate i.
0, 2
Suppose -4*o = 3*j - 12, o + j = 3*j + 3. Suppose 0 = -0*b - o*b + 6. Factor 3 + 6*p**2 + b*p**3 - 1 + 6*p + 0.
2*(p + 1)**3
Let i = 321 + -319. Let u(x) be the first derivative of 3/7*x**i - 2/21*x**3 + 4 - 4/7*x. Factor u(z).
-2*(z - 2)*(z - 1)/7
Let q(d) = -5*d**3 + 67*d**2 - 400*d + 314. Let a(p) = -45*p**3 + 600*p**2 - 3600*p + 2825. Let t(j) = 6*a(j) - 55*q(j). Factor t(o).
5*(o - 8)**2*(o - 1)
Let y be (1/(-2))/((-4)/24). Factor c + 9 - 4*c + 15*c + y*c**2.
3*(c + 1)*(c + 3)
Let f(i) be the third derivative of i**6/24 + i**5/2 + 25*i**4/24 + 41*i**2. Factor f(v).
5*v*(v + 1)*(v + 5)
Let b(s) be the first derivative of -2/3*s + 0*s**2 + 2/9*s**3 - 4. Factor b(m).
2*(m - 1)*(m + 1)/3
Let y(n) be the third derivative of n**7/140 - 11*n**6/180 + n**5/5 - n**4/3 - 14*n**3/3 - 10*n**2. Let r(c) be the first derivative of y(c). Factor r(o).
2*(o - 2)*(o - 1)*(3*o - 2)
Let t(l) be the first derivative of -7/6*l**6 + 2/3*l**2 - 4/3*l - 9 - 29/15*l**5 + 17/12*l**4 + 11/3*l**3. Determine i, given that t(i) = 0.
-1, -2/3, 2/7, 1
Suppose 0 = -14*g - 9 + 9. Let v(p) be the first derivative of -5 + g*p + 1/4*p**4 + 1/2*p**2 + 2/3*p**3. Factor v(d).
d*(d + 1)**2
Suppose -99 + 7 = -4*v. Let w be (-1 + -2 - 1)/(-2). Suppose -14*g**2 + 2*g**3 + v*g**2 - 5*g**2 - w*g**4 = 0. Calculate g.
-1, 0, 2
Let y(s) be the third derivative of -1/240*s**5 - 1/8*s**3 + 0 - 7*s**2 + 1/24*s**4 + 0*s. Find k, given that y(k) = 0.
1, 3
Let q = -59 - -61. Let l(t) = 3*t + 1. Let u be l(3). Determine y, given that u*y**2 + 8 - 14*y**q + 8*y + 6*y**2 = 0.
-2
Let u be ((-1)/30)/(82/(-205)). Let b(z) be the first derivative of 0*z**3 + 0*z - 1/8*z**4 + 4 - u*z**6 - 1/5*z**5 + 0*z**2. Factor b(d).
-d**3*(d + 1)**2/2
Suppose 15 = 2*y + 3*f, 0 = 2*y - 24*f + 19*f + 9. Factor 12/7*o + 3/7*o**2 - 3/7*o**y - 12/7.
-3*(o - 2)*(o - 1)*(o + 2)/7
Let k be 4268/679 - (-3)/((-6)/8). Factor -k - 4/7*w**2 + 16/7*w.
-4*(w - 2)**2/7
Let o(r) be the third derivative of r**8/616 + 13*r**7/1155 - 13*r**6/165 + 14*r**5/165 - 6*r**2 + 16*r. Find u, given that o(u) = 0.
-7, 0, 2/3, 2
Let p(m) = -m**2 - 5*m - 6. Let w be p(-3). Let b(r) = 7*r + 201. Let j be b(-28). Solve 3/2*y**2 + w - 1/2*y**j + y - 3/2*y**4 - 1/2*y**3 = 0.
-2, -1, 0, 1
Let w(s) = -10*s - 15*s + 20 + 28*s. Let m be w(-6). Suppose 3/4 + 3/4*n**m + 3/2*n = 0. What is n?
-1
Let o = -16398 - -16451. Factor 85/2*n + 29*n**3 - o*n**2 - 13/2*n**4 - 25/2 + 1/2*n**5.
(n - 5)**2*(n - 1)**3/2
Let i(v) be the first derivative of 5*v**4/12 + 15*v**3/2 + 20*v**2 + 7*v + 16. Let x(c) be the first derivative of i(c). Determine k so that x(k) = 0.
-8, -1
Let y(q) = 20*q**3 - 49*q**2 + 11*q + 11. Let m(h) = -4*h**3 + 10*h**2 - 2*h - 2. Let t(d) = -11*m(d) - 2*y(d). Suppose t(g) = 0. Calculate g.
0, 3
Let l(t) be the third derivative of t**7/105 - t**6/20 - t**5/3 + 2*t**4 - 4*t**2 + 67. Factor l(u).
2*u*(u - 4)*(u - 2)*(u + 3)
Suppose 0 = 5*k + 2*g - 27, -2*g - 2*g = -4. Suppose -29 - 21 = -k*q. Factor -q*x**4 + x**5 - 6*x**5 + 6*x + 3*x**2 - x + 7*x**2.
-5*x*(x - 1)*(x + 1)**3
Suppose -4*n = -5*n + 2*k + 42, -39 = -n + k. Let j be (6/n)/(8/12). Factor 0*t - j*t**3 + 0 + 1/4*t**2.
-t**2*(t - 1)/4
Let i = 1231 - 1231. Factor -3/4*f**2 + 1 + 1/4*f**3 + i*f.
(f - 2)**2*(f + 1)/4
Let a(c) = -30*c**2 + 142*c + 40. Let n be a(5). Factor n + 5/2*m**3 + 5/2*m**4 + 0*m + 0*m**2.
5*m**3*(m + 1)/2
Let g(f) be the third derivative of 0*f**3 + 0*f - 1/900*f**6 - 1/150*f**5 + 0 - 4*f**2 - 1/90*f**4. Factor g(r).
-2*r*(r + 1)*(r + 2)/15
Let c(m) be the third derivative of -5*m**8/1344 - 3*m**7/28 + m**6/48 + 3*m**5/4 - 5*m**4/96 - 15*m**3/4 + 81*m**2 + 1. What is o in c(o) = 0?
-18, -1, 1
Factor 0 + 2/3*o**4 + 2/3*o - 19/6*o**3 + 11/6*o**2.
o*(o - 4)*(o - 1)*(4*o + 1)/6
Let d(t) = -3*t**3 + 285*t**2 + 11*t - 281. Let k(n) = 6*n**3 - 570*n**2 - 20*n + 563. Let m(w) = 7*d(w) + 4*k(w). Factor m(g).
3*(g - 95)*(g - 1)*(g + 1)
Let h = 19745 - 59233/3. Factor 4*l + 0 - h*l**2 - 2/3*l**3.
-2*l*(l - 2)*(l + 3)/3
Factor 7*a - 17/4*a**2 + 0 - 1/4*a**4 - 5/2*a**3.
-a*(a - 1)*(a + 4)*(a + 7)/4
Let d(h) be the second derivative of h**4/78 - 328*h**3/39 + 26896*h**2/13 - 2*h + 59. Factor d(v).
2*(v - 164)**2/13
Let h(i) be the third derivative of -i**7/168 - i**6/36 + i**5/24 + 5*i**4/12 - 3*i**3/2 + 2*i**2. Let f(q) be the first derivative of h(q). Factor f(d).
-5*(d - 1)*(d + 1)*(d + 2)
Let c(i) = 3*i**2 + 54*i + 55. Let g be c(-17). Factor -2/21*j**2 + 0 + 2/21*j**g - 2/21*j + 2/21*j**3.
2*j*(j - 1)*(j + 1)**2/21
Let m be (-10)/(-2) + 14975/(-3000). Let t(r) be the third derivative of 0*r**5 - m*r**6 - 1/3*r**3 + 0*r + 1/8*r**4 + 0 - 5*r**2. Factor t(u).
-(u - 1)**2*(u + 2)
Determine m, given that 4/3*m**3 + 16/3 + 0*m - 16/3*m**2 - 1/3*m**5 + m**4 = 0.
-2, -1, 2
Let j = -289 - -294. Suppose 5/3*o**3 - j - 25/3*o - 5/3*o**2 = 0. Calculate o.
-1, 3
Solve -48*k + 36*k**3 + 37*k**2 - 12*k**4 + 12*k**3 - 2*k**2 - 9*k**5 + 13*k**2 = 0 for k.
-2, 0, 2/3, 2
Let o(g) be the first derivative of 7*g**5/4 + 337*g**4/32 - 27*g**3/8 - 19*g**2/4 + 5*g/2 - 58. Determine i, given that o(i) = 0.
-5, -1/2, 2/7, 2/5
Suppose -6/5*x**2 - 52/5*x + 2/5*x**4 + 16/5*x**3 - 32/5 = 0. What is x?
-8, -1, 2
Let b(i) = 3*i**2 + 326*i - 773. Let a be b(-111). Factor 0*o**2 - 4/5*o**a + 0 + 16/5*o**3 + 0*o.
-4*o**3*(o - 4)/5
Let c = 1538/7 + -218. Let -c*z - 20/7*z**2 - 4/7*z**3 + 36/7 = 0. What is z?
-3, 1
Let o(k) be the second derivative of -k**7/42 + k**6/6 - 9*k**5/20 + 7*k**4/12 - k**3/3 + 14*k. Suppose o(z) = 0. Calculate z.
0, 1, 2
Let z(u) be the third derivative of u**8/1680 + 8*u**7/525 + 13*u**6/100 + 28*u**5/75 + 49*u**4/120 - 149*u**2. Factor z(y).
y*(y + 1)**2*(y + 7)**2/5
Let i(h) be the first derivative of -98*h**5/55 - 63*h**4/22 - 10*h**3/11 - h**2/11 - 120. Factor i(c).
-2*c*(c + 1)*(7*c + 1)**2/11
Suppose -1797 + 1752 = -15*i. Factor -15/4*r**2 - 1/4*r**i - 75/4*r - 125/4.
-(r + 5)**3/4
Let b = -9 - -19. Let u(r) = -r + 13. Let o be u(b). Determine c so that -4 - 5*c**2 + o*c**2 + 4*c**2 - 2*c = 0.
-1, 2
Suppose -2*a = -3*a + 7. Suppose 3*d + a*d = 3*d. Factor 2/11*u**2 + d*u - 2/11*u**4 + 0 - 2/11*u**3 + 2/11*u**5.
2*u**2*(u - 1)**2*(u + 1)/11
Let u = 29 - 27. Factor -l**4 + 2*l**4 - u*l**3 - 2*l**4 - 2*l**3.
-l**3*(l + 4)
Suppose -40*t = -46*t + 108. Factor 0*a + t - 12*a**2 - 2/3*a**4 - 16/3*a**3.
-2*(a - 1)*(a + 3)**3/3
Let b(d) be the first derivative of 5*d**4 + 44*d**3/3 + 12*d**2 + 33. Factor b(r).
4*r*(r + 1)*(5*r + 6)
Let f(k) be the third derivative of 43*k**5/30 + 47*k**4/24 + k**3/3 - 213*k**2. Find u such that f(u) = 0.
-1/2, -2/43
Let d(n) be the first derivative of -2/15*n**3 - 10*n - 2*n**2 - 11. Factor d(p).
-2*(p + 5)**2/5
Let i(l) be the third derivative of 1/40*l**6 + 0 - 11*l**2 + 0*l**4 + 0*l**5 + 0*l**3 + 0*l - 1/70*l**7. Let i(y) = 0. Calculate y.
0, 1
Let c be (-6560)/(-640) - (1 - -9). Let v(d) be the second derivative of 0 - 1/48*d**4 - 1/8*d**3 - c*d**2 + 5*d. Let v(p) = 0. What is p?
-2, -1
Let s(l) be the second derivative of l**7/210 - l**6/75 + l**4/30 - l**3/30 + 102*l. Factor s(q).
q*(q - 1)**3*(q + 1)/5
Let q(f) be the first derivative of f**7/21 - 2*f**6/15 + f**4/3 - f**3/3 - 9*f + 9. Let n(h) be the first derivative of q(h). Factor n(d).
2*d*(d - 1)**3*(d + 1)
Let r(n) be the third derivative of n**5/30 + 3*n**4/4 - 12*n**3 - 296*n**2. Let r(q) = 0. Calculate q.
-12, 3
Let f(w) be the third derivative of -w**6/40 + 47*w**5/60 + 67*w**4/24 + 17*w**3/6 + w**2 - 3*w. Let f(k) = 0. Calculate k.
-1, -1/3, 17
Let d(h) be the third derivative of -h**5/15 - h**4/6 + 3*h**2 - 17. Solve d(k) = 0.
-1, 0
Determine k so that 4/5*k**2 + 0 - 232/5*k = 0.
0, 58
Let h(c) be the first derivative of 33 + 10/9*c**3 - 1/6*c**4 + 8/3*c - 8/3*c**2. What is l in h(l) = 0?
1, 2
Let w(c) be the sec