0.
-1, 0, 2/9
Let y(m) = -m**3 - m**2 + 14. Let t be y(0). Let s be 2/(((-16)/t)/(-4)). Factor 2*w**3 + 3*w + 4*w**4 - w**4 + 9*w**2 + s*w**3.
3*w*(w + 1)**3
Let i(h) be the second derivative of h**5/80 + 3*h**4/16 + h**3 + 2*h**2 - 18*h. Factor i(n).
(n + 1)*(n + 4)**2/4
Let n(c) = 2*c**2 + c - 2. Let v be n(2). Let b = v + -8. Let -15/7*q**3 + 0 + 6/7*q**2 + b*q = 0. Calculate q.
0, 2/5
Let i(c) be the first derivative of -2*c**3/9 + 10*c**2/3 - 50*c/3 - 38. Determine f, given that i(f) = 0.
5
Let r(k) = -k**3 - 20*k**2 - 49*k + 42. Let f(o) = o**3 + 19*o**2 + 47*o - 43. Let p(c) = 7*f(c) + 6*r(c). Solve p(i) = 0 for i.
-7, 1
Let v(a) be the second derivative of -a**4 + 0 + 0*a**2 + 4/3*a**3 + 1/5*a**5 + 2*a. Factor v(z).
4*z*(z - 2)*(z - 1)
Let t(m) be the second derivative of -m**8/7560 - m**7/945 - m**6/324 - m**5/270 - m**3/2 + 3*m. Let b(q) be the second derivative of t(q). Factor b(g).
-2*g*(g + 1)**2*(g + 2)/9
Let v(p) be the third derivative of p**7/4620 - p**6/990 - p**5/660 + p**4/66 - p**3/3 + 3*p**2. Let q(b) be the first derivative of v(b). Factor q(i).
2*(i - 2)*(i - 1)*(i + 1)/11
Let u(j) = 2*j + 3. Let y(w) = -5*w - 9. Let s(r) = -7*u(r) - 2*y(r). Let b be s(-2). Factor -2*h**3 - h**5 + 8*h**3 - b*h**3.
-h**3*(h - 1)*(h + 1)
Factor -16/7*d + 6/7 + 2/21*d**4 + 44/21*d**2 - 16/21*d**3.
2*(d - 3)**2*(d - 1)**2/21
Let q(v) = v**2 - v + 1. Let z(r) = 2*r**3 - 6*r**2 + 2*r - 2. Let d(f) = 4*q(f) + z(f). Determine b so that d(b) = 0.
-1, 1
Let b(x) be the first derivative of x**9/1008 - x**8/280 + x**7/280 - 7*x**3/3 + 8. Let k(c) be the third derivative of b(c). Factor k(f).
3*f**3*(f - 1)**2
Let c(w) = -w - 6. Let v be c(-10). Suppose 2*s**2 - 4*s**3 + 6*s**3 - v*s**3 = 0. Calculate s.
0, 1
What is d in 2/9 - 2/9*d**2 + 2/9*d - 2/9*d**3 = 0?
-1, 1
Let m(o) = o + 3. Let v be m(-6). Let j = v - -5. What is c in -c**2 - 3*c**2 + 2*c**3 + 4*c**2 - j*c**5 = 0?
-1, 0, 1
Let y(z) = -z - 1. Let v be 3/(-5) + 2/(-5). Let c be y(v). Let 1/3*n**3 + c*n + 1/3*n**2 + 0 = 0. Calculate n.
-1, 0
Suppose m = -0*m + 2. Let j(s) = s - 3. Let t be j(6). Factor -1 + 1 - 2*x**t - x**4 - x**m.
-x**2*(x + 1)**2
Let g(m) be the third derivative of -1/270*m**6 + 1/54*m**4 - 1/27*m**3 + 0*m - 4*m**2 + 0*m**5 + 0 + 1/945*m**7. Suppose g(d) = 0. What is d?
-1, 1
Suppose 2/7*q**3 + 0 + 2/7*q + 4/7*q**2 = 0. Calculate q.
-1, 0
Let u(g) = -g**2 + 8*g - 8. Let z be u(7). Let d be z - -1 - -1*1. Solve -1 - 18*h + d + 3 + 27*h**2 = 0 for h.
1/3
Let x(w) be the first derivative of -2*w**6/3 + 3*w**4 - 8*w**3/3 + 6. Factor x(g).
-4*g**2*(g - 1)**2*(g + 2)
Let m(p) = 3*p**3 - 15*p**2 + 33*p - 21. Let u(a) = a - 1. Let l(d) = m(d) - 9*u(d). Factor l(i).
3*(i - 2)**2*(i - 1)
Let y be 39/(-12) + (-2)/(-8). Let t(x) = 75*x**5 + 110*x**4 - 15*x**3 - 102*x**2 - 60*x. Let z(h) = h**3 - h + 1. Let v(b) = y*t(b) + 24*z(b). Solve v(d) = 0.
-1, -2/3, -2/5, 1
Let b(l) = 24*l**2 + 30*l + 4. Let z(u) = 24*u**2 + 31*u + 4. Let o(d) = 3*b(d) - 2*z(d). Factor o(q).
4*(q + 1)*(6*q + 1)
Factor 1/5*u**2 + 1/5 + 2/5*u.
(u + 1)**2/5
Suppose -4/3 + 2/5*d + 2/15*d**2 = 0. Calculate d.
-5, 2
Let a(k) be the third derivative of 0*k**3 + 0*k + 2*k**2 + 1/160*k**6 + 1/210*k**7 - 1/240*k**5 + 0 + 0*k**4. Factor a(s).
s**2*(s + 1)*(4*s - 1)/4
Factor -w**3 + 4*w**3 + 44*w - 28*w + 3*w**2 + 9 - 31*w.
3*(w - 1)**2*(w + 3)
Let n = 4958/7 + -708. Factor -4/7 + 2/7*i**3 - 6/7*i**2 - 10/7*i + n*i**4.
2*(i - 2)*(i + 1)**3/7
Let w(r) be the first derivative of 5*r**3/3 + 35*r**2/6 + 10*r/3 - 6. What is d in w(d) = 0?
-2, -1/3
Find l, given that 44*l - 27*l + 9*l**2 + 4*l + 6 + 0 = 0.
-2, -1/3
Suppose 0 = -5*z + 2*z. Let k(j) be the third derivative of 0 + 1/15*j**5 + z*j - 7/60*j**6 - 3*j**2 + 4/105*j**7 + 0*j**3 + 1/12*j**4. Factor k(y).
2*y*(y - 1)**2*(4*y + 1)
Factor -3*t**3 - 2*t**4 + 3*t**3 + 2*t**2 + 4*t - 4*t**3.
-2*t*(t - 1)*(t + 1)*(t + 2)
Let x(s) be the third derivative of s**6/24 + 5*s**5/12 + 35*s**4/24 + 5*s**3/2 - 14*s**2. Factor x(i).
5*(i + 1)**2*(i + 3)
Suppose -4*b + 2*g = -0*g, -22 = -b - 5*g. Solve 1 + 5/2*q**b - 9/2*q - 7/2*q**4 + 9/2*q**3 = 0.
-1, 2/7, 1
Determine d, given that -6*d**2 + 8*d**5 + 4*d**4 + 0*d - 10*d**3 + 2*d**4 - d + 3*d = 0.
-1, 0, 1/4, 1
Let j(t) = -t**3 - 6*t**2 + 6*t - 5. Let s be j(-7). Factor d**2 - d - s*d - 3*d + 7*d.
d*(d + 1)
Let v = 20 + -5. Suppose v*b + b**3 + 14*b - 30*b = 0. What is b?
-1, 0, 1
Let i(d) = -d**2 - 2. Let q(c) = 2*c**2 + 5. Let g(m) = 5*i(m) + 2*q(m). Determine z, given that g(z) = 0.
0
Let m be 37/13 + (1 - 99/117). Let k(l) be the second derivative of 0*l**2 - 1/105*l**7 + l + 0*l**m + 1/75*l**6 + 0 - 1/30*l**4 + 1/50*l**5. Factor k(p).
-2*p**2*(p - 1)**2*(p + 1)/5
Let p(b) be the first derivative of 0*b + 1/12*b**3 + 0*b**2 - 3. Factor p(q).
q**2/4
Suppose -3*s + 198 = -4*s. Let j be (-558)/s + 2/11. Let -w**4 + 3/4*w**j + 1/4*w**2 + 0 + 0*w = 0. What is w?
-1/4, 0, 1
Determine r so that 0 - 2*r - 81/2*r**3 + 18*r**2 = 0.
0, 2/9
Let h(v) = v**2 - v. Let u be h(-3). Suppose -7*y = -3*y - u. Factor -2*t - 3*t - y*t**2 + 5*t.
-3*t**2
Let p be (6/(-20))/(12/(-30)). Factor 3/4*l**2 + 1/4 + p*l + 1/4*l**3.
(l + 1)**3/4
Let k(u) be the second derivative of u**4/66 - 7*u**3/33 - 54*u. Factor k(b).
2*b*(b - 7)/11
Suppose -45 = -d - 4*d. Suppose -4*f = -0*f - 2*x - 6, f = -3*x - d. Factor 2/3*l**2 + 0*l + 2/3*l**3 - 2/3*l**4 - 2/3*l**5 + f.
-2*l**2*(l - 1)*(l + 1)**2/3
Let p(j) be the third derivative of -j**8/144 + j**7/315 + 7*j**6/180 - j**5/45 - 7*j**4/72 + j**3/9 + 3*j**2. Let p(r) = 0. Calculate r.
-1, 2/7, 1
Let g(q) be the third derivative of 0*q**4 + 0*q**3 + 1/210*q**7 + 0*q - 1/120*q**6 - 6*q**2 + 0 - 1/30*q**5. Factor g(h).
h**2*(h - 2)*(h + 1)
Let c(k) = 10*k**5 + 35*k**4 + 60*k**3 + 60*k**2 + 20*k + 5. Let h(b) = -b**5 - b**4 + b**3 - 1. Let y(g) = c(g) + 5*h(g). Let y(r) = 0. What is r?
-2, -1, 0
Let d(s) = s**3 + 8*s**2 - 9*s + 3. Let o be d(-9). Let a(k) be the second derivative of -1/2*k**o - 1/4*k**4 + 3/20*k**5 + 3/2*k**2 + 0 + 3*k. Factor a(v).
3*(v - 1)**2*(v + 1)
Suppose 0*l = 5*l - 50. Let s be ((-75)/l)/(18/(-8)). Solve 16/3*z**2 + 2/3*z**4 + 0 + 8/3*z + s*z**3 = 0 for z.
-2, -1, 0
Factor -4*r**4 + 10*r**2 + 12*r**3 - 46*r**2 + 28*r - 8 + 8*r**3.
-4*(r - 2)*(r - 1)**3
Let v(z) be the first derivative of 2/9*z**2 + 0*z - 3 + 2/27*z**3. Let v(y) = 0. What is y?
-2, 0
Let r(x) = x**2 - 5*x + 9. Let u be r(3). Factor 2/7 + 12/7*v**2 + 2/7*v**4 + 8/7*v + 8/7*v**u.
2*(v + 1)**4/7
Let g(z) = 5*z**2 - z. Let j be g(1). Solve -4*n**3 + 28*n**2 - 9*n**j + 4 + 2 + 7*n**3 - n**2 - 27*n = 0.
-2, 1/3, 1
Suppose 2/5*g**2 + 3/5*g**3 + 0 + 0*g - 1/5*g**5 + 0*g**4 = 0. What is g?
-1, 0, 2
Factor 0*q - 1/3*q**5 + 0*q**2 + 0*q**3 + 2/3*q**4 + 0.
-q**4*(q - 2)/3
Let z(o) be the third derivative of -1/1008*o**8 - 1/120*o**6 + 0*o**3 - 1/210*o**7 - 5*o**2 + 0*o**4 + 0*o - 1/180*o**5 + 0. Suppose z(x) = 0. Calculate x.
-1, 0
Let i(r) = r**2 + r. Let v(g) = -g**3 - 4*g**2 - 5*g - 4. Let f be v(-3). Let w(a) = -10*a**2 - 12*a. Let t(q) = f*w(q) + 22*i(q). Factor t(k).
2*k*(k - 1)
Let t(y) = y**3 + y**2 - 1. Let a(o) = 8*o**3 - 12*o**2 - 5*o + 12. Let x(w) = a(w) - 3*t(w). Factor x(n).
5*(n - 3)*(n - 1)*(n + 1)
Let v(j) = 3*j**2 - 1 - j + 0*j**2 - 2*j**2. Let r(o) = -5*o**2 - 5 + o**2 - 6 + 5*o**2 - 11*o. Let s(k) = r(k) - 3*v(k). Find b, given that s(b) = 0.
-2
Factor -6/5*p - 6/5*p**2 - 2/5 - 2/5*p**3.
-2*(p + 1)**3/5
Let n(x) be the third derivative of -1/6*x**4 - 1/10*x**5 + 0*x - 1/6*x**3 - 1/30*x**6 + 0 - 1/210*x**7 - 3*x**2. Factor n(c).
-(c + 1)**4
Let t = 311/1276 - -2/319. Factor 1/4*r**3 + 0 + t*r - 1/2*r**2.
r*(r - 1)**2/4
Let n = -62 - -65. Factor -2/3*u + 8/3*u**n - 5/3*u**4 - 1/3*u**2 + 0.
-u*(u - 1)**2*(5*u + 2)/3
Let o = 33 - 18. Suppose -5*n = -3*x + o, 0 = -3*n + 6*n. Suppose x*y**4 + y**5 - y**5 - 2*y**5 + y**2 - 4*y**3 = 0. Calculate y.
0, 1/2, 1
Let s(f) = -5*f**3 - f**2 + 3*f + 1. Let w(q) = 6*q**3 - 3*q. Let l(v) = -3*s(v) - 2*w(v). Factor l(h).
3*(h - 1)*(h + 1)**2
Let q(i) = 5*i - 5. Let p be q(2). Let g(n) = n**2 - 2*n + 2. Let a(f) = 2*f**2 - 4*f + 5. Let w(y) = p*g(y) - 2*a(y). Find m, given that w(m) = 0.
0, 2
Let i(a) = -a + 9. Let r be i(7). What is h in -2*h**2 + 2*h**2 + 2*h**r + h**2 = 0?
0
Let d(r) be the 