0 + 3*s**5/40 - s**3/3 - 61*s - 1. Let x(u) be the second derivative of y(u). Factor x(w).
3*w*(w + 1)*(w + 3)
Let l(j) be the second derivative of -1/10*j**5 + 38*j - 3/2*j**2 + 1/3*j**4 + 1/3*j**3 - 1/30*j**6 + 0. Factor l(p).
-(p - 1)**2*(p + 1)*(p + 3)
Let i(b) be the third derivative of -36*b + 2/21*b**3 + 1/28*b**4 + 0 - 1/420*b**6 + b**2 + 0*b**5. What is u in i(u) = 0?
-1, 2
Suppose -5*a = -11*u - 65, -3*a + 7665*u - 7662*u + 21 = 0. Solve 183/7*v**a + 3/7*v**4 - 45/7*v**3 - 9*v - 42 = 0.
-1, 2, 7
Let v(o) be the second derivative of -7*o**4/16 + 289*o**3/8 - 423*o**2/4 + 40*o - 13. Factor v(r).
-3*(r - 1)*(7*r - 282)/4
Let g(a) be the first derivative of 2*a**5/25 + 2*a**4/15 - 34*a**3/45 - 2*a**2/5 - 1185. Determine k, given that g(k) = 0.
-3, -1/3, 0, 2
Let m(h) be the first derivative of 7*h**5/30 - 61*h**4/12 - 6*h**3 - 49*h**2/2 + 114. Let a(z) be the second derivative of m(z). Factor a(j).
2*(j - 9)*(7*j + 2)
Factor 8107 + 29634 + 430*w**2 + 5*w**3 + 63899 + 11660*w.
5*(w + 22)**2*(w + 42)
Let a(p) be the first derivative of 3*p**5/5 - 1431*p**4 + 1365174*p**3 - 651187998*p**2 + 155308337523*p - 950. Factor a(c).
3*(c - 477)**4
Let a = -110727 + 553671/5. Let i be (-1)/5*9 - -3. Factor i*v**2 - a*v + 54/5.
6*(v - 3)**2/5
Let -1/2*a**5 + 21/2*a**2 - 1/2*a**3 - 5/2*a**4 + 9*a + 0 = 0. Calculate a.
-3, -1, 0, 2
Let d = 11781/2 - 5888. Let c(w) be the first derivative of -7 + 5/12*w**3 + 15/8*w**2 + d*w. Factor c(i).
5*(i + 1)*(i + 2)/4
Let c = -20/9047 - -253376/27141. Determine b, given that -c*b**2 - 2/3*b**4 + 16/3*b**3 + 10 - 16/3*b = 0.
-1, 1, 3, 5
Suppose -3*d = -6 + 33. Let l be -57*(-4)/36 + 3/d. Factor -2 - l*q + 2*q - 10 + 2*q**2 + 14.
2*(q - 1)**2
Let o(d) be the first derivative of 175/2*d**2 - 70/3*d**3 - 23 + 5/4*d**4 - 110*d. Factor o(s).
5*(s - 11)*(s - 2)*(s - 1)
Let z(h) = -h**3 - 75*h**2 + 67*h - 682. Let p be z(-76). Let t(i) be the first derivative of -9/2*i**p + 3/4*i**4 + 0*i**3 + 11 - 6*i. Factor t(d).
3*(d - 2)*(d + 1)**2
Find g, given that 1/5*g**3 + 0 - 69/5*g**2 - 142/5*g = 0.
-2, 0, 71
Suppose -3*n = 2*c - 7, 0 = -c + n - 772 + 778. Let o(v) be the first derivative of -23 - 4/3*v**3 - 3*v**4 + 8*v - 4/5*v**c + 6*v**2. Factor o(z).
-4*(z - 1)*(z + 1)**2*(z + 2)
Let f be 1665/918 - (-4)/(-12). Let r = f - -1/51. Solve r*s**4 + 2/3*s + 1/6 - 1/3*s**2 - 2*s**3 = 0.
-1/3, 1
Suppose 9*h = 2477 - 515. Find w such that 4*w**2 + 6*w**3 + 215*w**4 - h*w**4 - 24*w + 5*w**2 + 12 = 0.
-2, 1, 2
Suppose -4*w = -2*w - w. Suppose -2*a + w*f + 61 = 3*f, a = 5*f + 63. Let 29*o**4 + 16*o**3 + 8 - 24*o - a*o**2 + o**4 + 8*o**5 + 0*o**5 = 0. Calculate o.
-2, -1, 1/4, 1
Suppose 708*p = 702*p + 120. What is h in 63*h**2 + 42 - 23*h**2 - 38*h**2 - p*h = 0?
3, 7
Let p(s) = 12*s**3 - 117*s**2 - 594*s - 633. Let y(w) = -9*w**3 + 88*w**2 + 446*w + 475. Let o(t) = -7*p(t) - 9*y(t). Suppose o(z) = 0. Calculate z.
-2, 13
Let s(y) be the second derivative of y**7/98 + 3*y**6/10 + 111*y**5/70 - 24*y**4/7 - 12043*y. Find r such that s(r) = 0.
-16, -6, 0, 1
Let t(l) be the third derivative of l**7/525 - 133*l**6/60 + 55444*l**5/75 - 27556*l**4/15 - 4494*l**2. Factor t(a).
2*a*(a - 332)**2*(a - 1)/5
Let i(x) be the first derivative of -11*x**4/7 + 268*x**3/21 - 188*x**2/7 + 32*x/7 - 6960. Solve i(b) = 0 for b.
1/11, 2, 4
Let v(m) be the second derivative of -3*m - 1/120*m**6 - 9/2*m**2 + 20 - 37/48*m**4 - 5/2*m**3 - 1/8*m**5. Factor v(f).
-(f + 2)**2*(f + 3)**2/4
Let g(p) = p**2 - 18*p - 8. Let i(r) = r**2 - 10*r - 6. Let y(b) = -6*g(b) + 10*i(b). Factor y(j).
4*(j - 1)*(j + 3)
Let u(h) be the first derivative of h**3/3 + 348*h**2 - 697*h - 6136. Determine a, given that u(a) = 0.
-697, 1
Let i(j) be the first derivative of 72*j**3 + j**2 - 2*j + 9. Let q be i(1). Factor -3*k + 2*k**2 + q*k**3 + 2*k**2 - 217*k**3.
-k*(k - 3)*(k - 1)
Let f be 84/15*225/315. What is c in 0 + 12/5*c**3 + 0*c**2 + 2*c**f + 2/5*c**5 + 0*c = 0?
-3, -2, 0
Let q(h) be the first derivative of -h**3/9 + 23*h**2/6 + 140*h/3 + 1258. Solve q(c) = 0.
-5, 28
Suppose -35*c = -43*c + 80. Solve 262*i + 6*i**2 - 270*i - c*i**2 + 4*i**3 = 0 for i.
-1, 0, 2
Let c = 1217/240 + 43/240. Factor 49/4*i**3 - 1 - 6*i - c*i**2.
(i - 1)*(7*i + 2)**2/4
Let n(w) = w**3 + 126*w**2 + 244*w - 6. Let l be n(-2). Let 0 + 8/3*o - 2*o**l + 1/3*o**3 = 0. Calculate o.
0, 2, 4
Let v be 341/203 + (-1923)/(-55767). What is r in v*r - 3/7*r**2 - 9/7 = 0?
1, 3
Let f(p) be the second derivative of -125*p**4/4 + 64*p**3 - 9*p**2/2 - 8*p + 61. Factor f(y).
-3*(y - 1)*(125*y - 3)
Let f(j) be the first derivative of -1/8*j**3 + 0*j - 9/2*j**2 + 72. Solve f(t) = 0.
-24, 0
Let s(o) be the third derivative of -1/315*o**7 + 0*o**6 + 0 - 1/1008*o**8 + 1/90*o**5 - o**2 + 0*o**3 + 1/72*o**4 + 36*o. Factor s(t).
-t*(t - 1)*(t + 1)**3/3
Solve 1/5*w**3 - 59/5*w**2 + 0 + 0*w = 0.
0, 59
Let b = 52007/100 - 520. Let g(v) be the second derivative of -17/10*v**3 - 9/5*v**2 + 6*v - b*v**5 + 0 + 2/3*v**4. Factor g(q).
-(q - 3)**2*(7*q + 2)/5
Find s such that -28*s + 28642*s**4 - 1080*s**2 - 388*s - 28632*s**4 + 242*s**3 + 896 = 0.
-28, -1, 4/5, 4
Let g(r) = 2*r**3 + 131*r**2 + 1810*r - 1925. Let y(j) = 3*j**2 + 4*j - 1. Let x(k) = g(k) - 3*y(k). Solve x(b) = 0 for b.
-31, 1
Suppose 2*p - 1 = 3. Let m = -6232084/7 + 890298. Factor 12/7 + m*y**p + 10/7*y.
2*(y + 2)*(y + 3)/7
Find n, given that -19*n**4 + 84*n**3 - 4*n**5 + 43 + 76*n**2 - 90 - 57*n**4 - 80*n + 47 = 0.
-20, -1, 0, 1
Let g(f) be the third derivative of -5/18*f**5 - 1/630*f**7 + 0*f + 16/3*f**3 + 6*f**2 + 3 - 4/9*f**4 - 13/360*f**6. Factor g(r).
-(r - 1)*(r + 4)**2*(r + 6)/3
Let t(h) be the second derivative of h**4/16 + 11*h**3/2 - 69*h**2/2 + 8*h - 39. Solve t(q) = 0.
-46, 2
Let n(d) be the first derivative of 2*d**3/5 - 1528*d**2/15 - 136*d/3 + 2494. Factor n(k).
2*(k - 170)*(9*k + 2)/15
Suppose 20*g - 29619 = -g - 29556. Factor -2*l**2 - 4/3 - 1/3*l**g - 3*l.
-(l + 1)**2*(l + 4)/3
Factor 0 + 24/7*z**2 - 22*z**4 + 0*z - 296/7*z**3.
-2*z**2*(z + 2)*(77*z - 6)/7
Let f(x) be the third derivative of -x**7/1260 + x**6/180 + x**5/60 - x**4/36 - 5*x**3/36 + 1192*x**2. Find w, given that f(w) = 0.
-1, 1, 5
Suppose -26*a - 2 = -27*a. Find u such that -4*u**a - 5 + 2 + 13*u + 2*u**2 - 3 = 0.
1/2, 6
Let n be (6/(-42) + -1)*(-301)/688*8. Determine o so that 7*o + o**n - 3 + 35/4*o**3 + 71/4*o**2 = 0.
-6, -2, -1, 1/4
Let v(f) be the third derivative of -2*f**2 - 1/60*f**5 + 3/2*f**3 + 0 + 1/3*f**4 + 5*f. Find o such that v(o) = 0.
-1, 9
Let v(p) = -2445*p**4 + 48715*p**3 - 239408*p**2 - 27835*p - 805. Let y(k) = k**4 - k**3 + k - 1. Let n(w) = -2*v(w) + 10*y(w). Factor n(o).
4*(o - 10)**2*(35*o + 2)**2
Let m(u) be the first derivative of -18 + 35/2*u - 305/8*u**2 - 15/4*u**3. Factor m(f).
-5*(f + 7)*(9*f - 2)/4
Let l(i) = i**4 - i**3 - i**2 + i + 14. Let h(a) = 2*a**3 + 8*a**2 + 6*a + 14. Let x(k) = 5*h(k) - 5*l(k). Factor x(j).
-5*j*(j - 5)*(j + 1)**2
Solve 18050 + 2/9*b**4 - 34960/3*b + 15788/9*b**2 + 368/9*b**3 = 0.
-95, 3
Let y(h) = 17*h**3 + h**2 + 5*h + 5. Let c(p) = -p**3 + p**2 + p + 1. Let o be (4 + -1)/(-3)*47. Let v = 37 + o. Let i(q) = v*c(q) + 2*y(q). Factor i(b).
4*b**2*(11*b - 2)
Suppose v = -1, -2*g + 0*g - 5*v = -31. Let z = 356 - 353. Factor -6*y**3 + g*y + 3*y**z + 38*y**2 + 43*y**2 - 84*y**2.
-3*y*(y - 2)*(y + 3)
Let z(w) = w**2 + 7*w + 3. Let o(j) = 20*j**2 + 15375*j - 11551925. Let t(k) = -o(k) + 25*z(k). Solve t(q) = 0 for q.
1520
Let y(n) be the first derivative of -n**5 - 25*n**4/4 + 35*n**3 - 115*n**2/2 + 40*n - 95. Factor y(o).
-5*(o - 1)**3*(o + 8)
Determine m so that 0 + 66*m - 131/2*m**3 + 133/2*m**4 - 1/2*m**5 - 133/2*m**2 = 0.
-1, 0, 1, 132
Let q(h) be the first derivative of h**7/168 - 5*h**6/36 - 98*h**3 + 257. Let j(w) be the third derivative of q(w). Factor j(k).
5*k**2*(k - 10)
Let c(a) be the second derivative of -a**5/10 + 22*a**4/3 + 92*a**3/3 - 700*a + 1. Factor c(b).
-2*b*(b - 46)*(b + 2)
Let u(j) be the first derivative of 10*j**6/3 - 57*j**5 + 565*j**4/2 - 595*j**3 + 550*j**2 - 180*j + 955. Find i such that u(i) = 0.
1/4, 1, 2, 9
Suppose -5*k + d + 79 = 0, 2*k - 10 = 4*d + 18. Let l(q) be the first derivative of k - 7/15*q**3 + 1/10*q**4 + 3/10*q**2 + 0*q. Factor l(m).
m*(m - 3)*(2*m - 1)/5
Let t(u) = u**2 + u + 144 + u**3 -