ppose -1 = 18*n - 55. Factor -49/3*b**5 - 77/3*b**4 - 4/3*b**2 - 32/3*b**n + 0*b + u.
-b**2*(b + 1)*(7*b + 2)**2/3
Let r(u) be the second derivative of u**7/42 - u**6/30 - u**5/10 + 5*u + 3. Let r(o) = 0. What is o?
-1, 0, 2
Factor -9/8 - 21/8*j - 15/8*j**2 - 3/8*j**3.
-3*(j + 1)**2*(j + 3)/8
Let i be (-3)/(-4) - 9/12. Let o(f) be the first derivative of -2/5*f**5 + 2/3*f**3 + i*f**2 + 0*f + 0*f**4 + 2. Factor o(s).
-2*s**2*(s - 1)*(s + 1)
Let d be 1/(-5) - (-86)/5. Suppose -12 = 4*h, 5*h + d = f - 0*f. Suppose 0 - 1/2*o - 7/4*o**f = 0. Calculate o.
-2/7, 0
Factor 0*q + 0 + 6/7*q**4 + 2/7*q**2 - 2/7*q**5 - 6/7*q**3.
-2*q**2*(q - 1)**3/7
Let o(w) = 7*w**3 - 3*w**2 - 12*w + 11. Let j(f) = -6*f**3 + 2*f**2 + 12*f - 10. Let v(y) = 3*j(y) + 2*o(y). What is n in v(n) = 0?
-2, 1
Factor 9 - 73 - 10*s**2 - 186*s**2 - 198*s - 26*s.
-4*(7*s + 4)**2
Let r(u) be the second derivative of -u**6/120 + u**2/2 + 3*u. Let s(t) be the first derivative of r(t). Factor s(f).
-f**3
Let i be (-4 + (-98)/(-22))/1. Let l = i + 1/22. Solve -l*q + 0 + 1/6*q**2 = 0.
0, 3
Let b be (8 + -7)/(1/5). Solve 4*l**4 + 0*l**4 - 4*l**2 + 4*l**b + 46*l**3 - 50*l**3 = 0.
-1, 0, 1
Let u(s) be the second derivative of 0*s**2 + 0 + s + 0*s**3 - 1/84*s**7 + 1/40*s**5 + 1/24*s**4 - 1/60*s**6. Factor u(k).
-k**2*(k - 1)*(k + 1)**2/2
Let m be (184/64 - 2)*(-10)/(-35). Determine y, given that 1/4*y**2 + 0*y - m = 0.
-1, 1
Let o(x) be the first derivative of -x**5/15 - x**4/2 - 4*x**3/3 - 4*x**2/3 - 12. Let o(z) = 0. Calculate z.
-2, 0
Factor 0 + 3/2*x**2 - 2*x.
x*(3*x - 4)/2
Let v(g) be the second derivative of -7*g**6/120 + g**5/30 + 7*g**4/24 - g**3/3 + 4*g**2 - 8*g. Let c(b) be the first derivative of v(b). Factor c(j).
-(j - 1)*(j + 1)*(7*j - 2)
Factor d**5 - 23*d**2 + 27*d**2 - 3*d**4 + 0*d**5.
d**2*(d - 2)**2*(d + 1)
Let g(z) = -3*z**3 + 6*z**2 - 12*z - 11. Let b(l) = 4*l**3 - 9*l**2 + 17*l + 16. Let w(p) = -5*b(p) - 7*g(p). Factor w(v).
(v - 1)*(v + 1)*(v + 3)
Let s(p) = -3*p**4 + 10*p**2 - 4*p - 7. Let g(h) = 15*h**4 - 51*h**2 + 21*h + 36. Let i(y) = -4*g(y) - 21*s(y). Let i(x) = 0. Calculate x.
-1, 1
Let y(d) = -2 - 8*d**2 + 1 + 2 - 3*d**2 + 7*d. Let k(i) = -54*i**2 + 36*i + 4. Let l(o) = 3*k(o) - 14*y(o). Factor l(j).
-2*(j - 1)*(4*j - 1)
Factor 2/3*a**5 + 8/3*a + 8/3*a**2 - 2*a**3 + 0 - 4/3*a**4.
2*a*(a - 2)**2*(a + 1)**2/3
Let h(g) be the second derivative of g**6/540 - g**4/36 + g**3/2 - 3*g. Let w(d) be the second derivative of h(d). Suppose w(q) = 0. What is q?
-1, 1
Let w(c) be the second derivative of c**4/30 - 4*c**3/15 + 4*c**2/5 + 13*c. Let w(m) = 0. What is m?
2
Let g be 0 + (-35)/15 - -3. Solve 0 - 2/3*a - 4/3*a**2 + g*a**5 + 4/3*a**4 + 0*a**3 = 0 for a.
-1, 0, 1
Find k such that 3/2*k**4 + 0*k + 0 + 3/2*k**2 + 3*k**3 = 0.
-1, 0
Let 2*c**3 + 1/2*c**4 + 0*c + 0 + 2*c**2 = 0. What is c?
-2, 0
Suppose 10*v**3 + v**5 + 10*v**2 - 15*v - 6*v**5 + 5 - 15*v**4 + 10*v**5 = 0. Calculate v.
-1, 1
Suppose 0 = k, -5*y - 7*k + 2*k = -10. Let n(p) be the second derivative of 1/6*p**3 + 0 - p + 0*p**y + 1/12*p**4. Factor n(s).
s*(s + 1)
Let t(i) be the first derivative of -i**6/60 + i**4/4 - 2*i**3/3 + i**2 + 2. Let l(n) be the second derivative of t(n). Find w such that l(w) = 0.
-2, 1
Let j(p) be the second derivative of 8*p**6/105 + 4*p**5/35 + p**4/21 + 14*p. Determine d so that j(d) = 0.
-1/2, 0
Suppose -2*w = 5*b - 20, -2*b - 21 = -3*w - 5*b. Suppose -2*q = -w*q. What is p in 0*p + q + 1/2*p**2 = 0?
0
Let o be (-3)/(-4) + (-258)/360. Let l(t) be the second derivative of 1/9*t**3 + 1/9*t**4 - t + 0 + o*t**5 + 0*t**2. Let l(q) = 0. Calculate q.
-1, 0
Let d(n) be the third derivative of -n**5/5 + 2*n**4/3 + 8*n**3/3 + 19*n**2. Factor d(v).
-4*(v - 2)*(3*v + 2)
Factor -4*j + 4*j**3 - 2*j**2 + 6*j**2 - 4*j**4 + 0*j**4.
-4*j*(j - 1)**2*(j + 1)
Let p(a) be the second derivative of -1/6*a**4 + 0*a**2 + 2*a + 0 + a**3. Factor p(y).
-2*y*(y - 3)
Let g(m) = -m**3 + 14*m**2 + 32*m. Let i be g(16). Factor -o**2 + 0 + i*o + 1/2*o**3 - 3/2*o**5 + 2*o**4.
-o**2*(o - 1)**2*(3*o + 2)/2
Let l be (4/24 + 0)*(0 - -1). Let c(j) be the second derivative of -1/20*j**6 - l*j**3 + j - 1/5*j**5 + 0 - 7/24*j**4 + 0*j**2. Factor c(t).
-t*(t + 1)**2*(3*t + 2)/2
Let 0*u + 1/4*u**2 + 0 = 0. What is u?
0
Let x(l) be the second derivative of -3/2*l**2 + 1/60*l**5 + 1/6*l**3 - 2*l + 0 + 1/12*l**4. Let g(w) be the first derivative of x(w). Factor g(a).
(a + 1)**2
Suppose -9*l = -53*l + 88. Factor 0 - 4/7*x + 2/7*x**l.
2*x*(x - 2)/7
Let j(t) be the first derivative of t**3 + 15*t**2/2 - 19. Factor j(w).
3*w*(w + 5)
Let b(a) be the second derivative of -a**5/10 - 7*a**4/6 - 5*a**3 - 9*a**2 - a. Factor b(o).
-2*(o + 1)*(o + 3)**2
Let -2/5*q**3 + 0*q - 4/5*q**2 + 0 = 0. Calculate q.
-2, 0
Let v(h) be the first derivative of h**4/48 - h**3/24 + 3*h - 2. Let w(f) be the first derivative of v(f). Factor w(t).
t*(t - 1)/4
Suppose -3*w = -2*k + 13, w + 4 = 1. Find d, given that -8/3*d**k - 2/3 - 8/3*d = 0.
-1/2
Let z(g) = g**2 + 8*g - 4. Suppose w + w - 17 = 3*q, -3*w - 42 = 3*q. Let h be z(q). Suppose 2/5*b**h + 6/5*b**3 + 0*b + 2/5*b**2 + 0 + 6/5*b**4 = 0. What is b?
-1, 0
Determine l so that 2*l**3 + l**3 - 12 + 8*l**2 + l**2 = 0.
-2, 1
Let o be (-108 - (0 - 3))/1. Let q be (-42)/o + 8/5. Suppose 1/2*h**q + 1 - 3/2*h = 0. Calculate h.
1, 2
Let v be 0 - (-3 - -2) - -2. Suppose m = v*m - 5*r - 52, 0 = 4*m - 3*r - 104. Determine g so that 8*g - 20*g**2 - m*g**3 + g**4 - 6*g**4 - 5*g**4 + 3*g**4 = 0.
-2, 0, 2/7
Let l(z) be the first derivative of z**3/3 + 4*z**2 + 16*z + 7. Determine w, given that l(w) = 0.
-4
Solve 21*w**3 + 6*w**4 - 5*w**2 - 81*w**5 - w**2 + 60*w**5 = 0.
-1, 0, 2/7, 1
Let t(r) be the third derivative of -1/24*r**4 + 0*r + 0*r**3 + 0 - 7*r**2 - 1/40*r**6 - 1/12*r**5 + 1/84*r**8 + 1/42*r**7. Factor t(z).
z*(z - 1)*(z + 1)**2*(4*z + 1)
Let a be 1 + 0 - (10 - (-60)/(-5)). Factor 2/13*b**a + 0*b**2 + 0 - 2/13*b.
2*b*(b - 1)*(b + 1)/13
Let d = 62 - 371/6. Let t(j) be the second derivative of 0 + 3*j - 2/9*j**3 + d*j**5 - 1/6*j**4 + 0*j**2. Factor t(r).
2*r*(r - 1)*(5*r + 2)/3
Let k = 5 - 5. Let p(z) be the second derivative of -1/30*z**6 - 1/12*z**4 + 0 + k*z**3 - z + 0*z**2 - 1/10*z**5. Factor p(q).
-q**2*(q + 1)**2
Let g be 6/3 + (-2 - 3). Let h be ((-2)/g)/((-8)/(-3)). Factor 0*f**2 - 3/4*f + 1/2 + h*f**3.
(f - 1)**2*(f + 2)/4
Let d(b) = -2*b**2 + 20*b. Let f be d(10). Determine x, given that f - 2/5*x**2 + 4/5*x - 8/5*x**3 + 6/5*x**4 = 0.
-2/3, 0, 1
Let c(h) be the second derivative of -h**5/110 + h**4/22 - 7*h. Suppose c(p) = 0. What is p?
0, 3
Factor -3/5*s**3 + 6/5*s**4 + 0*s + 0 + 0*s**2 - 3/5*s**5.
-3*s**3*(s - 1)**2/5
Let d(j) be the third derivative of -j**9/45360 + j**7/7560 - j**4/12 - 2*j**2. Let p(k) be the second derivative of d(k). Factor p(c).
-c**2*(c - 1)*(c + 1)/3
Let x = -115199/90 - -1280. Let y(d) be the third derivative of 0*d**4 + x*d**5 + 0*d + 0*d**3 - 1/180*d**6 + 4*d**2 + 0. Let y(a) = 0. Calculate a.
0, 1
Let u = -95/2 + 48. Solve 5/4*n - n**2 + 1/4*n**3 - u = 0.
1, 2
Let c(v) = v**3 + 3*v**2 - 6*v - 3. Let q be c(-4). Let l = q - 3. Let -l*g**4 + 3*g**3 - 2*g - 5*g**3 + 2*g**2 + 4*g**3 = 0. Calculate g.
-1, 0, 1
Let m(w) be the third derivative of w**8/33600 + w**7/2100 - 3*w**5/20 - 2*w**2. Let g(j) be the third derivative of m(j). Suppose g(i) = 0. What is i?
-4, 0
Let i be (6 - 7)/((-1)/3). Factor -27*h - 2*h**5 + 2*h**i + 27*h.
-2*h**3*(h - 1)*(h + 1)
Let x(a) be the second derivative of -a**5/180 + a**4/72 + a**3/9 + a**2 - 3*a. Let p(t) be the first derivative of x(t). Factor p(o).
-(o - 2)*(o + 1)/3
Let m(o) be the third derivative of -o**5/15 - 7*o**4/3 - 98*o**3/3 + 2*o**2. Factor m(t).
-4*(t + 7)**2
Let r(d) = 13*d**3 + 30*d**2 + 55*d + 17. Let w(k) = 4*k**3 + 10*k**2 + 18*k + 6. Suppose -4 + 0 = 2*n. Let t(z) = n*r(z) + 7*w(z). Solve t(x) = 0 for x.
-2, -1
Suppose -5*c - 14 = 16. Let k(w) = w**3 + 7*w**2 + 6*w + 3. Let f be k(c). Factor -2*y**4 - 1 + 2*y**f + 1 - 2*y + 2*y**2.
-2*y*(y - 1)**2*(y + 1)
Let q(g) be the first derivative of g**5/5 - g**4/2 - g**3/3 + g**2 - 46. Factor q(o).
o*(o - 2)*(o - 1)*(o + 1)
Let g(f) be the second derivative of 5*f + 0 + 1/2*f**2 + 1/12*f**4 + 1/3*f**3. Suppose g(m) = 0. Calculate m.
-1
Let v = 5/22 + 29/66. Suppose 0 - 1/3*z**3