) be the first derivative of 1/5*d**5 + 4*d**4 - 2 + 32*d**3 + 128*d**2 - 6*d. Let w(z) be the first derivative of x(z). Factor w(s).
4*(s + 4)**3
Let w be (0/2)/(33 - 34). Factor w*b - 1/2*b**4 + 0*b**3 + 0 + 0*b**2 - 1/2*b**5.
-b**4*(b + 1)/2
Suppose 83 = -3*u + 101. Factor -298*m**2 + 277*m**2 - 13*m**3 - u*m - 2*m**3.
-3*m*(m + 1)*(5*m + 2)
Let f(y) be the third derivative of y**7/30 + 11*y**6/30 + 5*y**5/4 + 3*y**4/4 - 98*y**2. Solve f(c) = 0 for c.
-3, -2/7, 0
Find j, given that 158*j**2 - 163*j**2 + 70*j + 1 - 66 = 0.
1, 13
Suppose -p + 10*s + 4 = 5*s, 5*s = 0. Let x be (p + -4)/(-4 + 3). Factor -1/6*o + 1/6*o**2 + x.
o*(o - 1)/6
Let w(a) be the third derivative of a**6/3960 + a**5/660 - a**4/88 + 2*a**3 + 8*a**2. Let y(p) be the first derivative of w(p). Solve y(m) = 0 for m.
-3, 1
Suppose 3*y - 3 = c, 40*y - 44*y = -2*c - 4. Let o(t) be the third derivative of -1/30*t**5 + c*t**3 + 0*t**4 + 0 - 9*t**2 - 1/60*t**6 + 0*t. Factor o(s).
-2*s**2*(s + 1)
Let f = -14641 - -14646. Determine a, given that 0*a**3 + 0 + 6/5*a**4 + 0*a + 0*a**2 + 3/5*a**f = 0.
-2, 0
Let y be (-2)/(-25) - 119/(-700). Solve 1/8*r**2 + y - 3/8*r = 0 for r.
1, 2
Let p(a) be the first derivative of -5*a**4/12 + 70*a**3/3 - 490*a**2 + 13720*a/3 + 44. Suppose p(q) = 0. Calculate q.
14
Let y(d) be the second derivative of -d**8/1176 - d**7/735 + 15*d**2/2 + 19*d. Let z(s) be the first derivative of y(s). Determine i, given that z(i) = 0.
-1, 0
Let l(a) be the second derivative of a**6/1620 + 7*a**5/270 + 49*a**4/108 - 5*a**3/2 + 3*a. Let q(z) be the second derivative of l(z). Factor q(x).
2*(x + 7)**2/9
Let t be (-3)/(-2)*(-16)/24 - 253/(-187). Factor t*j + 0 + 2/17*j**3 - 8/17*j**2.
2*j*(j - 3)*(j - 1)/17
Let i(g) be the third derivative of 0*g - 2/33*g**3 - 5*g**2 + 0 - 7/330*g**5 - 3/44*g**4. Find t such that i(t) = 0.
-1, -2/7
Let j(w) = -22*w**3 - 765*w**2 - 13005*w - 73702. Let f(a) = 15*a**3 + 510*a**2 + 8670*a + 49135. Let u(t) = -7*f(t) - 5*j(t). Factor u(q).
5*(q + 17)**3
Let w = -128 + 145. Factor 23 + 9*g**2 + 0*g**4 + 15*g + g**3 - 4*g**3 - w - 3*g**4.
-3*(g - 2)*(g + 1)**3
Let k(d) be the second derivative of 3*d**5/80 - d**4/16 - 5*d - 7. Factor k(g).
3*g**2*(g - 1)/4
Let z = 2186 + -2186. Factor z + 2/9*l**2 - 4/9*l.
2*l*(l - 2)/9
Solve 2*r**2 - 4*r**3 + 2*r**3 + 2*r**2 + 18*r - 20*r = 0.
0, 1
Let v(o) = 5*o**4 + o**3 - 6*o**2 + 6*o + 6. Let l(a) = -20*a**4 - 5*a**3 + 25*a**2 - 25*a - 25. Let q(t) = -6*l(t) - 25*v(t). Let q(z) = 0. Calculate z.
0, 1
Find q, given that 33*q**3 - 150*q**2 + 20*q**3 + 102*q**3 + q**5 - 6*q**5 = 0.
-6, 0, 1, 5
Let k = 51 + -47. Solve 11*x + 14*x**2 - 7*x**3 + 9*x**5 - 3*x**2 - 13*x - 11*x**k = 0.
-1, 0, 2/9, 1
Suppose 5*o = -o. Let l = -552 + 552. Factor o + l*r - 1/4*r**3 - 1/4*r**2.
-r**2*(r + 1)/4
Solve 0 + 108/17*z + 2/17*z**2 = 0 for z.
-54, 0
Let z = -161 - -161. Let k(p) be the first derivative of -1/10*p**6 + 0*p**2 + 6/25*p**5 + z*p - 3 + 0*p**3 - 3/20*p**4. Factor k(q).
-3*q**3*(q - 1)**2/5
Find y, given that 0 + 576/7*y - 4/7*y**4 - 480/7*y**2 - 92/7*y**3 = 0.
-12, 0, 1
Let u be 4 + (3 - 2) - 3. Suppose u*n - 15 = -3*n. Suppose -30*o**4 + 3*o**5 + 2 + 14*o - 21*o**5 + 28*o**2 + 13*o**n - 9*o**3 = 0. What is o?
-1, -1/3, 1
Factor 16/3 - 28/15*w + 2/15*w**2.
2*(w - 10)*(w - 4)/15
Suppose 43*s**2 - 118*s**3 + 18*s**2 + 120*s**3 - 62*s - s**2 = 0. Calculate s.
-31, 0, 1
Let k(g) be the second derivative of g**5/4 - 25*g**4/12 + 20*g**3/3 - 10*g**2 + 3*g - 41. Factor k(l).
5*(l - 2)**2*(l - 1)
Let s(v) be the second derivative of v**5/60 - v**4/36 - 2*v**3/9 + 2*v**2/3 + 200*v. Determine o, given that s(o) = 0.
-2, 1, 2
Let z = 310 - 306. Let o(w) be the third derivative of 0*w**3 + 0 - 1/96*w**z + 0*w - 1/420*w**7 + 1/1344*w**8 - 6*w**2 + 0*w**6 + 1/120*w**5. Factor o(u).
u*(u - 1)**3*(u + 1)/4
Suppose -5*j + 5*r = -5, -2*r - 4 = 3*j + 3. Let d be -2*(-9)/(-6)*j. Let 86*q**4 - 5*q**d - 2*q**2 + q**3 + 0*q**3 - 88*q**4 = 0. What is q?
-1, 0
Factor 0 + 0*p + 8/3*p**2 - 8/3*p**3 + 2/3*p**4.
2*p**2*(p - 2)**2/3
Let q(r) be the second derivative of 5*r**8/336 - r**6/6 + r**5/6 + 5*r**4/8 - 5*r**3/3 - 8*r**2 - 21*r. Let j(h) be the first derivative of q(h). Factor j(a).
5*(a - 1)**3*(a + 1)*(a + 2)
Suppose 3 = 2*f - 3*l, 6*f - 2*l - 24 = f. Let p(s) be the third derivative of -1/30*s**f - 3/2*s**4 + 0 + 2/5*s**5 + 0*s - 6*s**2 + 0*s**3. Factor p(g).
-4*g*(g - 3)**2
What is c in -16/9*c**2 + 16/9*c**4 - 2/9*c**5 + 32/9*c + 0 - 10/3*c**3 = 0?
-1, 0, 1, 4
Factor -5/6*i + 0 - 1/6*i**2.
-i*(i + 5)/6
Suppose -19 = -3*j - 13. Factor 20*v**j - v - 4*v**2 + 10*v + 39*v + 36.
4*(2*v + 3)**2
Let k(l) be the first derivative of 2/3*l - 11/9*l**2 - 24 + 16/27*l**3 + 2/9*l**4. Let k(g) = 0. Calculate g.
-3, 1/2
Let r(q) = -20*q**4 - 11*q**3 + 9*q**2 - 33*q. Let k(s) = 4*s**4 + 2*s**3 - 2*s**2 + 6*s. Let x(g) = 11*k(g) + 2*r(g). Factor x(v).
4*v**2*(v - 1)*(v + 1)
Let f(i) be the third derivative of i**8/672 - 37*i**7/840 + 83*i**6/480 - 47*i**5/240 - 17*i**4/96 + 2*i**3/3 + 11*i**2. Determine p so that f(p) = 0.
-1/2, 1, 16
Let i(f) = -11*f**3 - 6*f**2 + 19*f + 24. Let h(m) = 3*m**2 + 207*m - 217*m + 2*m**3 - 12 + 3*m**3. Let r(z) = -5*h(z) - 2*i(z). Find d, given that r(d) = 0.
-2, -1, 2
Let c(g) be the first derivative of g**6/6 - g**5/10 - g**4 + 2*g**3/3 - 186. Find a such that c(a) = 0.
-2, 0, 1/2, 2
Factor 154/3*a**2 - 686/3 + 1/3*a**5 + 20/3*a**4 - 637/3*a + 124/3*a**3.
(a - 2)*(a + 1)*(a + 7)**3/3
Let l(b) be the third derivative of 0*b - 6*b**2 - 15/2*b**3 - 1/12*b**5 + 0 + 5/4*b**4. Factor l(s).
-5*(s - 3)**2
Let f(s) be the second derivative of -2/3*s**3 + 0 - 1/12*s**4 + 7*s - 3/2*s**2. Factor f(a).
-(a + 1)*(a + 3)
Let i(y) = -y**5 - y**3 + y. Let p(w) = w**5 + 3*w**4 - 2*w. Let j(k) = -6*i(k) - 3*p(k). Factor j(c).
3*c**3*(c - 2)*(c - 1)
Let o(p) be the third derivative of -9*p**2 + 1/420*p**7 + 0*p + 0*p**3 + 1/48*p**4 + 1/40*p**5 + 0 + 1/80*p**6. Let o(y) = 0. What is y?
-1, 0
Solve 27*l**3 - 31*l - 6*l**4 - 27*l - 30*l**2 + 8*l**3 + l**4 + 160 - 102*l = 0 for l.
-2, 1, 4
Let n(d) be the first derivative of 2*d**5/35 + 5*d**4/14 + 8*d**3/21 - 190. Determine v so that n(v) = 0.
-4, -1, 0
Let h(y) be the second derivative of -y**8/168 + y**7/30 - y**6/15 + y**5/20 + 25*y**2/2 + 6*y. Let a(j) be the first derivative of h(j). Factor a(o).
-o**2*(o - 1)**2*(2*o - 3)
Suppose 2*m + 6 = 5*m. Determine z, given that 0*z**4 - 13 + 10*z**2 + m*z**4 - 7*z**4 + 8 = 0.
-1, 1
Let g = 90 + -614/7. Factor 64/7 + 1/7*x**2 + g*x.
(x + 8)**2/7
Let a(i) be the second derivative of i**7/105 + 2*i**6/25 + 7*i**5/25 + 8*i**4/15 + 3*i**3/5 + 2*i**2/5 - i + 45. Factor a(q).
2*(q + 1)**4*(q + 2)/5
Suppose 24 = 10*c + y, 2*c - y - 4*y = -16. Let 0 - 8/3*a**c + 2/3*a = 0. What is a?
0, 1/4
Let f = -399 - -394. Let q(r) = -r**2 - 5*r. Let m(y) = y. Let l(i) = -11*m(i) - 2*q(i). Let u(g) = g**2 + g. Let a(n) = f*u(n) + l(n). Factor a(x).
-3*x*(x + 2)
Let w(k) be the second derivative of -4*k - 1/20*k**4 + 0 + 1/15*k**3 + 1/100*k**5 + 0*k**2. Factor w(y).
y*(y - 2)*(y - 1)/5
Factor 1/3*f**3 - 2*f**2 + 32/3 + 0*f.
(f - 4)**2*(f + 2)/3
Let u be (-1)/4 + (-42)/(-8). Suppose 0 = -3*w - 0*c + c + 19, 0 = -w + 5*c + 25. Factor 3 - 5*i + 16*i - u*i - 2*i**2 + w*i**2.
3*(i + 1)**2
Let t(y) be the second derivative of 7*y**5/110 + 5*y**4/11 + 29*y**3/33 + 6*y**2/11 - 479*y. Let t(b) = 0. What is b?
-3, -1, -2/7
Factor 30*w - 55*w**2 + 103*w**2 - 46 - 53*w**2 + 6.
-5*(w - 4)*(w - 2)
Suppose 7*k = -9*k + 42*k - 11*k. Factor k*l**2 + 0 + 0*l - 9/7*l**3 + 3/7*l**4.
3*l**3*(l - 3)/7
Let s be 11972/103320 + (0 - (-1)/(-9)). Let q(a) be the third derivative of -s*a**7 + 1/60*a**5 - 1/60*a**6 + a**2 + 1/12*a**4 + 0*a**3 + 0 + 0*a. Factor q(i).
-i*(i - 1)*(i + 1)*(i + 2)
Let l(x) be the third derivative of -1/9*x**3 + 0 + 2/315*x**7 + 0*x + 1/360*x**6 - 11/72*x**4 - 6*x**2 - 1/15*x**5. Factor l(y).
(y - 2)*(y + 1)**2*(4*y + 1)/3
Let a(c) = -c**3 + 9*c**2 - c + 13. Let f be a(9). Suppose 4 = -2*g + f*g. Factor -l**2 + 1 - 1 + 2*l**g.
l**2
Let q(x) be the second derivative of -5*x**4/12 + 5*x**3/3 + 15*x**2/2 - 52*x. Factor q(o).
-5*(o - 3)*(o + 1)
Let m(h) = h + 1. Let r(l) = 357*l - 3*l**2 - 181*l - 165*l + 14. Let n = 3 - 1. Let z(k) = n*m(k) - r(k). Factor z(w).
3*