 2)
Let k = 661/2712 + -4/113. Let c(d) be the third derivative of 1/3*d**3 - 1/120*d**6 - k*d**4 + 2*d**2 + 0*d + 0 + 1/15*d**5. Factor c(g).
-(g - 2)*(g - 1)**2
Let h(c) be the first derivative of c**4/12 - 2*c**3/9 + c**2/6 + 1. Factor h(y).
y*(y - 1)**2/3
Let u = -283 + 285. Solve 0 - 2/5*d + 2/5*d**u = 0.
0, 1
Let y be -2*(-5)/(20/112). Let j be y/66 - 2/11. Factor -j - 1/3*m**2 - m.
-(m + 1)*(m + 2)/3
Let y(n) be the second derivative of n**7/36 + n**6/36 - n**5/60 - 10*n. Factor y(j).
j**3*(j + 1)*(7*j - 2)/6
Let r(g) be the third derivative of 2*g**2 + 0 + 1/60*g**5 + 1/12*g**4 + 1/6*g**3 + 0*g. Factor r(b).
(b + 1)**2
Suppose -5*z - 2*f + 5 = -30, -4*z + 25 = f. Suppose -z*s = s. Factor -2/3*h**3 + s + 2/3*h + 0*h**2.
-2*h*(h - 1)*(h + 1)/3
Let w = -1874/5 - -375. Determine f, given that 2/5 - w*f - 1/5*f**2 = 0.
-2, 1
Let s = -144 + 148. Let 4/7*l + 6/7*l**5 + 2/7*l**s + 0 - 2/7*l**2 - 10/7*l**3 = 0. Calculate l.
-1, 0, 2/3, 1
Factor -10*n**3 - 61*n**2 - 2*n - 3*n + 50*n**2 + 4*n.
-n*(n + 1)*(10*n + 1)
Let x be (1 - 1)*(-6)/(-12). Let t(b) be the third derivative of 0*b**4 + 0 + 0*b**3 + 0*b + x*b**5 + 3*b**2 + 0*b**6 - 1/105*b**7. Factor t(o).
-2*o**4
Suppose 3*k = -2*i + 22, 0 = -2*i + 7*i - 25. Let o(j) be the first derivative of 0*j**k + 0*j**2 + 1/3*j**3 - 1/5*j**5 + 2 + 0*j. Factor o(t).
-t**2*(t - 1)*(t + 1)
Let z(q) be the first derivative of -q**4/4 + 2*q**3/3 - q**2/2 + 4*q - 1. Let m(b) be the first derivative of z(b). Factor m(c).
-(c - 1)*(3*c - 1)
Determine y, given that -1 - y**2 - 3*y + 0*y + 5*y = 0.
1
Let c(i) be the third derivative of -1/160*i**6 - 3/32*i**4 + 0*i - i**2 + 1/8*i**3 + 0 + 3/80*i**5. Suppose c(k) = 0. Calculate k.
1
Let c(i) be the first derivative of -i**6/39 - 18*i**5/65 - 16*i**4/13 - 112*i**3/39 - 48*i**2/13 - 32*i/13 - 1. Let c(t) = 0. What is t?
-2, -1
Suppose -3*w + 5*q = -28, -4*w + 32 = w - q. Let p be (8/(-10))/(w/(-15)). Factor y**p - 1/3*y**3 + 1/3 - y.
-(y - 1)**3/3
Let y(h) be the third derivative of h**8/1344 - h**7/280 + h**6/480 + h**5/80 - h**4/48 + 38*h**2. Factor y(j).
j*(j - 2)*(j - 1)**2*(j + 1)/4
Suppose 2*v - 4*v + 12 = -4*r, 0 = 3*r + 9. Find x, given that 0 + v*x**2 + 1/2*x**4 + 0*x**3 + 0*x = 0.
0
Let 5/2*i**3 + 3/2*i**4 - 5/2*i - 5/2*i**2 + 1 = 0. What is i?
-2, -1, 1/3, 1
Suppose g - 15 = -11. Let j be (-6)/g*12/(-27). Factor -j + 5/3*u - u**2.
-(u - 1)*(3*u - 2)/3
Factor 8 - 3 - 15*v + 15*v**2 + 206*v**3 - 211*v**3.
-5*(v - 1)**3
Let w(f) = -f**3 - 6*f**2 - f - 2. Let u be w(-6). Factor v + v**3 - 4*v**3 - u*v**3 - v**2 + 1 + 6*v**3.
-(v - 1)*(v + 1)**2
Let s(m) be the third derivative of -m**7/105 - m**6/20 + m**5/15 + m**4 + 8*m**3/3 - 23*m**2 + 2. Let s(h) = 0. What is h?
-2, -1, 2
Suppose -2*f**4 + 10*f**4 - 941*f**5 + 913*f**5 = 0. What is f?
0, 2/7
Let f(d) = d**3 + d**2 - 3*d - 2. Let p be f(-2). Let k be -1 + 2/2*3. Factor k*y**2 + y**4 + p*y**2 - 3*y**2.
y**2*(y - 1)*(y + 1)
Let i(n) be the third derivative of -n**6/100 - n**5/60 - n**4/120 + 22*n**2. Find g such that i(g) = 0.
-1/2, -1/3, 0
Let p = -347 - -1736/5. Factor 1/5*s + 2/5 - p*s**2.
-(s - 2)*(s + 1)/5
Let z = -7 + 7. Let t(h) be the first derivative of -2/5*h**5 - 4/3*h**3 + 0*h**2 + z*h - 3/2*h**4 - 1. Factor t(g).
-2*g**2*(g + 1)*(g + 2)
Let m(j) be the third derivative of j**7/126 - 11*j**6/120 + 11*j**5/30 - 7*j**4/18 - 4*j**3/3 - 20*j**2. Factor m(i).
(i - 3)*(i - 2)**2*(5*i + 2)/3
Solve -5*z**2 - 3*z**3 + 4*z**4 + 3*z + 3 + 3*z**3 - 2 - 3*z**3 = 0 for z.
-1, -1/4, 1
Let b be (-60)/(-14) - 1 - (-76)/(-266). Let r be 3/((-15)/(-7)) - 1. Let 4/5*d**2 - r*d**5 - 2/5*d**4 - 2/5 + 4/5*d**b - 2/5*d = 0. What is d?
-1, 1
Let d be (0 - 24/(-10)) + -2. Solve 2/5*v**5 + d*v + 8/5*v**4 + 8/5*v**2 + 12/5*v**3 + 0 = 0.
-1, 0
Let n be -3*2/6*-6. Let g be (n/(-12))/(14/(-8)). Factor -4/7*q**3 - g*q**4 + 0 - 2/7*q**2 + 0*q.
-2*q**2*(q + 1)**2/7
Let m(a) be the second derivative of -a**8/630 + a**7/315 + 7*a**6/540 + a**5/90 - 5*a**3/6 + 3*a. Let o(z) be the second derivative of m(z). Factor o(p).
-2*p*(p - 2)*(2*p + 1)**2/3
Let q(z) = -z**2 + 10*z. Let w be q(8). Suppose l + 3*l = w. Factor o**4 + o**3 + o**5 - 5*o**4 + 2*o**l.
o**3*(o - 1)**2
Let g(q) be the first derivative of q**6/45 + q**5/15 + q**4/18 - 2*q - 1. Let m(d) be the first derivative of g(d). Factor m(n).
2*n**2*(n + 1)**2/3
Suppose i + 9 = 4*f, 3*f - 5*i = -f + 13. Let s be (-1 + 1)/(3 + -5). Factor -2/3*p + s - 1/3*p**f.
-p*(p + 2)/3
Let r(m) = -m**4 + 29*m**3 - 5*m**2 + 5*m. Let g(a) = -a**4 + 43*a**3 - 7*a**2 + 7*a. Let o(y) = 5*g(y) - 7*r(y). Solve o(b) = 0 for b.
-6, 0
Let l(c) = -c**3 - 3*c**2 - 2*c - 3. Let g be l(-3). Suppose -2*t - 3 = -g*t. Let -4/5*h**t + 0*h**2 + 6/5*h**4 + 0 + 0*h = 0. What is h?
0, 2/3
What is d in -13/3*d**2 + 73/3*d**3 - 10/3*d + 0 - 14/3*d**4 = 0?
-2/7, 0, 1/2, 5
Let g(s) be the second derivative of -s**9/45360 - s**8/20160 + s**7/7560 + s**6/2160 + s**4/2 + 3*s. Let k(z) be the third derivative of g(z). Factor k(n).
-n*(n - 1)*(n + 1)**2/3
Let n(q) be the second derivative of -2*q + 1/48*q**4 + 1/720*q**6 - 1/6*q**3 + 1/120*q**5 + 0*q**2 + 0. Let y(t) be the second derivative of n(t). Factor y(x).
(x + 1)**2/2
Factor -4/3*b**2 - 4/3*b + 4/3*b**3 + 4/3.
4*(b - 1)**2*(b + 1)/3
Let o(s) be the first derivative of -1/4*s**2 - 3 + 1/12*s**3 + 0*s. Factor o(k).
k*(k - 2)/4
Let l(x) be the third derivative of 1/120*x**6 + 1/60*x**4 + 3/100*x**5 - 3/350*x**7 - 4*x**2 + 0*x**3 - 1/240*x**8 + 0 + 0*x. Determine h, given that l(h) = 0.
-1, -2/7, 0, 1
Let l(g) be the third derivative of -g**5/30 + g**4/3 - 4*g**3/3 + 2*g**2. Factor l(q).
-2*(q - 2)**2
Let c(x) be the third derivative of -x**9/272160 - x**8/90720 + x**5/30 - 3*x**2. Let t(d) be the third derivative of c(d). Factor t(s).
-2*s**2*(s + 1)/9
Suppose -3*x + 6 = -5*u - x, x = -2. Let q be -1 + ((-32)/10)/u. Factor 1/5 + 1/5*w**3 + q*w + 3/5*w**2.
(w + 1)**3/5
Let f be (2/(-16))/(28/(-20784)). Let s = f - 185/2. Suppose 0*y + 2/7*y**2 - s*y**3 + 0 = 0. Calculate y.
0, 1
Let n = -3 - -4. Solve 4*h**2 - n + 2*h + 0*h**2 - 5*h**2 = 0.
1
Factor 11*s + 6*s**2 + 5*s**2 - 31*s - 6*s**2.
5*s*(s - 4)
Suppose 0*f = -0*f + 6*f. Let w be (5/(-3)*2)/(-3). Factor w*p**4 + f - 2/9*p**2 + 0*p + 2/9*p**3 + 2/3*p**5.
2*p**2*(p + 1)**2*(3*p - 1)/9
Let j = 130 - 130. What is f in 0*f + f**2 - 1/2 - 1/2*f**4 + j*f**3 = 0?
-1, 1
Let w be (-4)/22 + (-24)/(-132). Let y(p) be the third derivative of -1/60*p**5 + 0*p**3 + w*p**4 - 2*p**2 + 0 + 0*p. Factor y(n).
-n**2
Let z = -81 - -83. Suppose -2/3*g**z + 1/3 + 1/3*g**4 + 0*g**3 + 0*g = 0. Calculate g.
-1, 1
Let r(n) be the first derivative of 0*n**2 + 0*n + 1/3*n**6 + 1/4*n**4 + 0*n**3 - 3/5*n**5 + 5. Factor r(i).
i**3*(i - 1)*(2*i - 1)
Find b such that 12/5 - 12/5*b + 3/5*b**2 = 0.
2
Let q(n) be the third derivative of -1/20*n**5 + 0 - 9/2*n**3 - 3/4*n**4 + 0*n + n**2. Determine k so that q(k) = 0.
-3
Let m(w) be the first derivative of 0*w**4 + w**3 + 0*w**2 - 3/5*w**5 + 0*w + 1. Factor m(p).
-3*p**2*(p - 1)*(p + 1)
Let z(n) = n**2 - 6*n + 7. Let d be z(5). Solve 24*a**2 - 22*a**2 + 1 - a**4 - d = 0.
-1, 1
Let 35 - 2*l**2 - 35 + 34*l = 0. What is l?
0, 17
Let j = 1456 + -218399/150. Let y(x) be the third derivative of 0*x - 1/120*x**4 + j*x**5 + 0 + 1/600*x**6 + x**2 - 1/15*x**3. Factor y(l).
(l - 1)*(l + 1)*(l + 2)/5
Let k(d) be the first derivative of -d**5/5 + 3*d**4 - 18*d**3 + 54*d**2 - 81*d - 6. Solve k(v) = 0 for v.
3
Let i(v) = -13*v**3 + 7*v**2 + 6*v + 7. Let g(f) = -4*f**3 + 2*f**2 + 2*f + 2. Let u(x) = 7*g(x) - 2*i(x). What is j in u(j) = 0?
-1, 0, 1
Let u(i) be the third derivative of 0*i**5 + 0*i**3 + 0*i + 1/300*i**6 + 0*i**7 + i**2 + 0 - 1/840*i**8 + 0*i**4. Factor u(a).
-2*a**3*(a - 1)*(a + 1)/5
Let x(o) be the third derivative of -1/525*o**7 + 0 + 0*o**6 + 0*o**3 + 0*o + 0*o**4 + 1/150*o**5 - 3*o**2. Find c such that x(c) = 0.
-1, 0, 1
Let 11 + f**3 - 9 + 2*f - 3*f**3 - 2*f**2 + 0*f**2 = 0. What is f?
-1, 1
Let q be (3/2)/(60/16). Suppose 4*y = d + 17, 2*y - 3*d = -2*y + 19. Factor 0 + 2/5*o**3 + q*o**y - 2/5*o**2 - 2/5*o.
2*o*(o - 1)*(o + 1)**2/5
Factor 0*f + 0 - 2/7*f**2 + 18/7*f**3.
2*f**2*(9*f - 1)/7
Suppose -2*m - 2*m = -5*i + 17, 4*i - 16 = 2*m. Factor 2*y**3 + 0 - 2*y - 2 - 11*y**2 - 16*y**m + 29*y**2.
2*(y