 + 9 + 9 = 0. Let w(j) = j**2 + 7*j + 8. Let k be w(s). Factor 2/11*f**k + 2/11 - 4/11*f.
2*(f - 1)**2/11
Let z be 0 - (9/3 - 438/132). Let j(l) be the first derivative of 8/11*l**3 + 0*l - 1 - z*l**4 + 4/11*l**2. Find g such that j(g) = 0.
-2/7, 0, 2
Let k(h) = -h + 7. Let l be k(5). Factor -3*i**l + i**3 - 3*i + 4 - 2*i**3 - 5.
-(i + 1)**3
Let l(f) be the second derivative of -7*f**6/120 - f**5/12 + f**4/12 + 3*f**2/2 + 3*f. Let k(g) be the first derivative of l(g). What is h in k(h) = 0?
-1, 0, 2/7
Let k(p) = 15*p**4 + 40*p**3 + 132*p**2 + 171*p + 53. Let f(q) = -4*q**4 - 10*q**3 - 33*q**2 - 43*q - 13. Let z(t) = 22*f(t) + 6*k(t). Factor z(h).
2*(h + 1)**2*(h + 4)**2
Let p be (-3 - -4)/1 + 51. Factor -p*c**2 + 0*c + 3 - 11 - 44*c - 16*c**3.
-4*(c + 1)*(c + 2)*(4*c + 1)
Let c = -296 - -301. Solve 12/7*i**2 + 6/7*i**3 + 6/7*i**c + 3/7 - 12/7*i - 15/7*i**4 = 0.
-1, 1/2, 1
Let k(p) be the second derivative of p**6/60 - p**5/10 - p**4/24 + p**3/3 + 20*p. Factor k(t).
t*(t - 4)*(t - 1)*(t + 1)/2
Let y(s) be the third derivative of 9*s**8/112 - 3*s**7/70 - s**6/8 - s**5/20 + 18*s**2. Find q, given that y(q) = 0.
-1/3, 0, 1
Let x(w) = -w**3 + w**2. Let s(f) = 6*f**3 - 10*f**2 + 4*f. Let c(b) = s(b) + 2*x(b). What is j in c(j) = 0?
0, 1
Suppose -6 = -2*d - 0*d. Suppose 2*z = 3 + d. Solve -2*s**2 - 4*s**3 + 4*s**2 + z*s**4 - s**4 = 0.
0, 1
Let s(y) be the first derivative of -10*y**5/11 + 35*y**4/22 + 26*y**3/11 - 19*y**2/11 + 4*y/11 + 38. Suppose s(l) = 0. Calculate l.
-1, 1/5, 2
Let s(w) be the first derivative of -8*w**4/19 + 16*w**3/19 - 9*w**2/19 + 2*w/19 - 3. Solve s(p) = 0.
1/4, 1
Let v(l) = l**3 + 5*l**2 - 3*l - 13. Let y be v(-5). Determine q so that q**y - 1/3 + 1/3*q**3 - 1/3*q - 2/3*q**4 = 0.
-1, -1/2, 1
Let w(t) be the second derivative of -9*t**5/50 - t**4/4 + 3*t**3/10 + 3*t**2/5 + 4*t. Determine m, given that w(m) = 0.
-1, -1/2, 2/3
Let d(n) be the second derivative of n**7/42 - n**5/10 + n**3/6 + 13*n. Factor d(h).
h*(h - 1)**2*(h + 1)**2
Let h be 2/4*(-1 - -5). Factor 1 + 1 + 6*z + h*z**3 - 4 - 6*z**2.
2*(z - 1)**3
Determine l, given that -21*l - 43*l - l**2 - 512 + 2*l**2 - 3*l**2 = 0.
-16
Let y = 34 + -30. Let m(v) be the first derivative of 3/4*v**y + 0*v - 1 - v**3 + 0*v**2. Factor m(h).
3*h**2*(h - 1)
Let j(q) = -2*q**3 + 4*q + 2. Let p(r) = r**4 - r**2 - r - 1. Let g(c) = -j(c) - 2*p(c). Factor g(i).
-2*i*(i - 1)**2*(i + 1)
Let t = 691/369 + -13/41. Let m be (-2)/(-12) - 3/18. Find v, given that 0 - t*v**3 - 4/9*v**2 + m*v = 0.
-2/7, 0
Let k be 2/8 - (-83)/(-336). Let f(p) be the third derivative of 0*p + 0 + 0*p**4 + 1/15*p**6 + 1/42*p**7 - 2*p**2 + 0*p**3 + 1/15*p**5 + k*p**8. Factor f(z).
z**2*(z + 1)*(z + 2)**2
Let k(j) be the first derivative of 5*j**6/6 + 2*j**5 - 15*j**4/4 - 20*j**3/3 + 10*j**2 - 5. Find p, given that k(p) = 0.
-2, 0, 1
Suppose -25*w = 34*w - 118. Factor -3/4*m**3 - 9/4*m + 3*m**w + 0.
-3*m*(m - 3)*(m - 1)/4
Let c = -1847/12 - -154. Let o(i) be the first derivative of 2/5*i**5 + c*i**6 + 0*i**2 + 1/2*i**4 + 0*i**3 - 1 + 0*i. Solve o(r) = 0.
-2, 0
Let k(d) = -4*d**4 - 7*d**3 + 6*d**2 - 5*d - 5. Let n(u) = 3*u**4 + 6*u**3 - 5*u**2 + 4*u + 4. Let l(s) = 4*k(s) + 5*n(s). Factor l(h).
-h**2*(h - 1)**2
Let m(d) be the third derivative of d**6/24 - 5*d**4/24 + 14*d**2. Solve m(r) = 0 for r.
-1, 0, 1
Let i(k) be the second derivative of 1/5*k**2 + 0 - 1/60*k**4 - 3/100*k**5 + 2*k + 1/10*k**3 - 1/150*k**6. Suppose i(j) = 0. What is j?
-2, -1, 1
Let u(h) be the second derivative of h**5/20 - h**4/12 - h**3/6 + 3*h**2/2 - 5*h. Let x be u(0). Factor -9/5*a**3 + 27/5*a**4 - x*a**2 - 3/5*a + 0.
3*a*(a - 1)*(3*a + 1)**2/5
Let i(y) be the second derivative of -3*y**5/20 + 7*y**4/4 - 4*y**3 - 24*y**2 - 15*y + 3. Find f such that i(f) = 0.
-1, 4
Let 0 + 0*o**2 - 2/7*o**3 + 2/7*o = 0. What is o?
-1, 0, 1
Let b(m) be the second derivative of 1/5*m**5 + 0 - m + 4*m**4 + 32*m**3 + 128*m**2. Factor b(d).
4*(d + 4)**3
Suppose -s = -3*h + 8, -4*s + 3 = -6*h + h. Factor s - 6 + n**3 - 1.
n**3
Determine c, given that 4*c**2 - 3*c + 2/3 - 5/3*c**3 = 0.
2/5, 1
Let d be 54/(-72)*(-3 + 2). Find w such that -d*w - 1/4*w**2 - 1/2 = 0.
-2, -1
Let b(t) be the first derivative of -2 + 1/6*t**3 + 0*t + 1/8*t**2 + 1/16*t**4. Factor b(k).
k*(k + 1)**2/4
Suppose 0 = -4*r + 5 + 15. Let s(o) be the third derivative of 1/30*o**r + 0*o - 1/48*o**4 + 3*o**2 + 0*o**3 + 0. What is x in s(x) = 0?
0, 1/4
Factor 15 + 40*w + 5/3*w**4 + 40/3*w**3 + 110/3*w**2.
5*(w + 1)**2*(w + 3)**2/3
Let i(m) be the third derivative of 0*m - 1/2*m**4 - 3*m**2 + 0 - 1/30*m**5 - 3*m**3. Let i(z) = 0. What is z?
-3
Suppose 0 = 5*i - 4*r + 27, 2*i + 3*r - 3 = -0. Let y be (i/(-2))/((-18)/(-8)). Factor y*t**5 + 0*t**2 + 2/3*t - 4/3*t**3 + 0 + 0*t**4.
2*t*(t - 1)**2*(t + 1)**2/3
Let k = -86 - -90. Let -16/3*m**k - m**3 + 16/3*m**2 + 7/3*m**5 - 4/3*m + 0 = 0. What is m?
-1, 0, 2/7, 1, 2
Let z be 114/(-15) + 5 + 3. Determine i so that 2/5*i + 2/5 - 2/5*i**3 - z*i**2 = 0.
-1, 1
Let o(t) be the third derivative of 13*t**5/360 + 7*t**4/36 + t**3/9 + 28*t**2. Factor o(v).
(v + 2)*(13*v + 2)/6
Let f(a) be the third derivative of -a**7/70 + a**6/8 - 2*a**5/5 + a**4/2 - 3*a**2. Solve f(q) = 0.
0, 1, 2
Let w(a) be the second derivative of a**7/126 + a**6/30 - a**5/60 - a**4/12 - 50*a. Factor w(x).
x**2*(x - 1)*(x + 1)*(x + 3)/3
Let j(o) be the second derivative of -5*o**4/12 + 5*o**3/2 - 5*o**2 - 16*o. Solve j(n) = 0.
1, 2
Let m be ((-55)/(-9) - 6)*3. Determine o so that -2/3*o**2 - m*o**3 + 0 - 1/3*o = 0.
-1, 0
Let v(y) = -y**3 + 7*y**2 + 8*y. Let w be v(8). Let g(l) be the second derivative of w*l**2 + 0 + 1/48*l**4 + 1/24*l**3 + l. Factor g(o).
o*(o + 1)/4
Let v(p) be the second derivative of -p**6/135 + p**5/45 + 2*p**4/27 - 2*p**3/27 - p**2/3 + 72*p. Let v(s) = 0. Calculate s.
-1, 1, 3
Let o(h) be the first derivative of -3*h**5/40 + h**4/4 + h**3/4 - 3*h**2/2 - 2*h + 5. Let v(s) be the first derivative of o(s). Let v(a) = 0. What is a?
-1, 1, 2
Let v(n) = -n + 5. Let b be v(3). Let k be 1/(-1) - (-4 + 3). Find d such that -5*d - 1 + k + 3*d - 3*d**b + 2*d**2 = 0.
-1
Suppose 4 - 1 = z. Let o(n) = -6*n**4 - 9*n**3 + 3*n + 3. Let a(u) = -17*u**4 - 26*u**3 + 10*u + 9. Let y(r) = z*a(r) - 8*o(r). Factor y(i).
-3*(i - 1)*(i + 1)**3
Find q such that 1/4*q**2 + 1/4*q**3 + 0 - 1/2*q = 0.
-2, 0, 1
Suppose -2*y + 85 + 67 = 0. Solve 2 + 31*k**4 - 39*k**3 + y*k**2 + 16*k**5 + 21*k + 152*k**3 + 41*k**4 = 0.
-2, -1, -1/4
Let c(y) be the third derivative of y**6/24 + y**5/6 + 5*y**4/24 - 47*y**2. Factor c(r).
5*r*(r + 1)**2
Let w(z) = z**2 + 31*z - 14. Let g(k) = 30*k - 15. Let q(t) = 6*g(t) - 5*w(t). Factor q(u).
-5*(u - 4)*(u - 1)
Let h be ((-3)/(540/(-44)))/((-2)/(-5)). Let x(p) be the second derivative of -2*p + 13/9*p**3 + 0 + 2/3*p**2 + h*p**4. Factor x(n).
2*(n + 1)*(11*n + 2)/3
Factor -2/7*y**4 + 0*y**3 + 0*y + 0 + 0*y**2.
-2*y**4/7
Let d be (-10)/6 + 3 + -2 + 1. Find f such that -2/3 + 1/3*f**2 + d*f = 0.
-2, 1
Let g(r) be the second derivative of -1/24*r**4 - 1/168*r**7 + 3/80*r**5 + 0 + 0*r**6 - 2*r + 0*r**3 + 0*r**2. Factor g(v).
-v**2*(v - 1)**2*(v + 2)/4
Let x(a) be the third derivative of -a**6/480 - a**5/80 + a**4/24 - 6*a**2 + 5*a. Find w such that x(w) = 0.
-4, 0, 1
Let j(g) be the first derivative of 2*g**3/21 + 5*g**2/7 + 8*g/7 + 6. Suppose j(y) = 0. What is y?
-4, -1
Let x(c) = -13*c**2 - 11*c. Let i(f) = -6*f**2 - 6*f - 7. Let p(z) = -2*z**2 - 2*z - 2. Let a(j) = 4*i(j) - 14*p(j). Let n(b) = -8*a(b) - 3*x(b). Factor n(w).
w*(7*w + 1)
Let b(q) be the third derivative of 1/30*q**5 + 1/30*q**6 + 0*q - 5/24*q**4 + 0 + 1/336*q**8 - 3*q**2 + 1/3*q**3 - 2/105*q**7. Factor b(d).
(d - 2)*(d - 1)**3*(d + 1)
Let n be 7221/9 + (-4)/6. Let i = n - 795. Factor 2*c**4 + 4*c + 2/3 + 8*c**2 + i*c**3.
2*(c + 1)**3*(3*c + 1)/3
Let l(m) be the first derivative of 1/14*m**4 + 0*m**2 - 4 + 2/7*m**3 + 0*m. Factor l(n).
2*n**2*(n + 3)/7
Let q(v) be the third derivative of v**8/224 + v**7/140 - v**6/40 - v**5/20 + v**4/16 + v**3/4 + 2*v**2. Factor q(f).
3*(f - 1)**2*(f + 1)**3/2
Let -48*l**2 + 5 + 44*l + 16*l**4 + 1 - 4*l**3 - 14 = 0. What is l?
-2, 1/4, 1
Factor 242/3 + 46/3*t**2 + 286/3*t + 2/3*t**3.
2*(t + 1)*(t + 11)**2/3
Let y(k) = -k**2 - 12*k + 31. Let z be y(-14). Let 0 - 2/5*d + 3/5*