e of -1/36*a**4 + 0*a**2 + 0*a**u - 3*a + 0. Factor o(n).
-n**2/3
Let f(d) be the third derivative of 0 - 1/60*d**5 + 1/24*d**4 - 10*d**2 + 0*d + 0*d**3. Factor f(y).
-y*(y - 1)
Suppose 3*n + z - 16 = 0, 0*z = -n - 4*z + 9. Solve -58/3*k**4 + 8/3*k - 2/3*k**3 - 8/3 + 14*k**2 - 10*k**n = 0 for k.
-1, 2/5, 2/3
Suppose 0 = -4*u + 4 + 36. Suppose -5*t + u = -10. Solve -h**3 + 0*h**3 - h**t + 0*h**4 = 0.
-1, 0
Let o(j) be the third derivative of 0*j**5 + 1/1008*j**8 + 0*j**7 - 1/180*j**6 + 0*j**3 + 1/72*j**4 + 0*j + 4*j**2 + 0. Factor o(y).
y*(y - 1)**2*(y + 1)**2/3
Let s(f) = -24*f**3 - 4*f**2 - 54*f + 76. Let m(v) be the first derivative of -v**4/4 - v**3/3 + v + 5. Let d(u) = 44*m(u) - 2*s(u). Factor d(b).
4*(b - 3)**3
Solve 0*y - 1/3*y**2 + 0 = 0 for y.
0
Let m(p) = -5*p**3 + 2 + 2*p**3 - 1 + p - 13*p**3. Let w be m(-1). Factor 2/3*h**2 + 2/3 + w*h**3 - 4*h + 32/3*h**4.
2*(h + 1)**2*(4*h - 1)**2/3
Factor 4*s**4 - 26/7*s**3 + 8/7*s**2 - 10/7*s**5 + 0 + 0*s.
-2*s**2*(s - 1)**2*(5*s - 4)/7
Let z(b) = -6*b**3 - 2*b**2 + 3*b + 4. Let r be z(-1). Factor 0*y + 0*y**2 + 0*y**4 + 1/6*y**r + 0 - 1/6*y**3.
y**3*(y - 1)*(y + 1)/6
Factor -1/3*a**3 + 4/3*a**2 + 2/3 - 5/3*a.
-(a - 2)*(a - 1)**2/3
Let n be (4/(-30))/(1/(-3)). Determine w, given that 2/5*w**2 + n*w + 0 = 0.
-1, 0
Suppose -4 = c - 8. Suppose c*d + 1 = 2*r - 3, -4*r = d + 1. Find x, given that 0 - 2/11*x**2 + r*x + 0*x**3 + 2/11*x**4 = 0.
-1, 0, 1
Factor 8/5*f**3 + 0*f + 12/5*f**2 - 4/5*f**4 + 0.
-4*f**2*(f - 3)*(f + 1)/5
Let u = -2 - 0. Let l = u - -4. Factor n - 2*n**l - 3*n + 0*n**2.
-2*n*(n + 1)
Let u(w) be the second derivative of -w**7/168 + w**6/30 - w**5/80 - 5*w**4/24 + w**3/6 + w**2 + 6*w. Factor u(h).
-(h - 2)**3*(h + 1)**2/4
Factor 6*z**2 + 2*z**3 + 2*z**4 - 6*z**2.
2*z**3*(z + 1)
Factor 5*v - 6*v + 21*v + 5*v**2.
5*v*(v + 4)
Let j be 17/72 + 2/(-16). Let l(o) be the first derivative of -j*o**2 + 3 - 4/9*o + 2/27*o**3. Factor l(b).
2*(b - 2)*(b + 1)/9
Let v be 5/(-6)*1/(-5). Let k(u) be the second derivative of v*u**4 - 2*u**3 + 9*u**2 - u + 0. Let k(q) = 0. Calculate q.
3
Let d(u) = -2*u**4 + 4*u**3 - 5*u**2 + 3. Let j(m) = 3*m**4 - 5*m**3 + 6*m**2 - 4. Let o(b) = -4*d(b) - 3*j(b). Factor o(y).
-y**2*(y - 1)*(y + 2)
Let r be 0/2 + 2 + -1. Factor r + 1 - b**5 + 2*b**3 - b - 2.
-b*(b - 1)**2*(b + 1)**2
Suppose -1 = -4*d + 11. Factor -125*s**d - 40*s**2 + 0 - 35*s**2 - 15*s - 1.
-(5*s + 1)**3
Let k(y) be the third derivative of y**5/6 + y**4/2 + 11*y**3/6 - 3*y**2. Let l(b) = -b**2 - b - 1. Let p(f) = -2*k(f) - 22*l(f). Factor p(z).
2*z*(z - 1)
Let z be (240/50 - 8)/((-14)/20). Factor -z*c**3 + 26/7*c**4 + 0 + 0*c - 6/7*c**5 + 8/7*c**2.
-2*c**2*(c - 2)**2*(3*c - 1)/7
Let k(d) be the third derivative of -1/480*d**6 + 0*d + 0 - d**2 + 0*d**5 + 0*d**3 + 0*d**7 + 1/1344*d**8 + 0*d**4. Factor k(p).
p**3*(p - 1)*(p + 1)/4
Let x = -15 + 7. Let c be (x/28)/(4/(-7)). Factor 0 - c*k**2 + 0*k.
-k**2/2
Let g be (-8 + -4)*(-2)/6. Find z such that 2*z**5 + 4*z**2 - z**4 - 2*z + z**4 - g*z**4 + 0*z**5 = 0.
-1, 0, 1
Let s(l) = l**2 + 6*l - 1. Let m be s(-7). Suppose -x + 3*c + 2 = -10, -3*c = 5*x - m. Factor -9 + 8*b**4 + 1 - 2*b**4 + 24*b - 20*b**x + 6*b**2.
2*(b - 2)**2*(b + 1)*(3*b - 1)
Let z = 0 - -6. Find b, given that -z*b**3 + 4*b**2 + 3 - b - b**5 - 3 + 4*b**4 = 0.
0, 1
Let a(j) = -j**3 - 12*j**2 + 14*j + 13. Let f be a(-13). Factor f*g + 0 - 1/5*g**4 + 1/5*g**3 + 1/5*g**2 - 1/5*g**5.
-g**2*(g - 1)*(g + 1)**2/5
Suppose -2*d = -4*d + 4. Determine z so that -3 + z + z + z**d + 4 = 0.
-1
Let u be -3*(-1)/(-3)*-2. Let a = -48 + 145/3. Let 1/3*t**u + 0*t + 0 + a*t**4 + 2/3*t**3 = 0. Calculate t.
-1, 0
Let c(t) be the third derivative of -t**7/630 + t**6/180 - t**5/180 + 4*t**2. Factor c(x).
-x**2*(x - 1)**2/3
Suppose 4*r - 15 = v, -14 - 10 = -5*r + 3*v. Factor 22/3*d**2 + r*d**4 + 8*d**3 + 8/3*d + 1/3.
(d + 1)**2*(3*d + 1)**2/3
Let n(s) be the first derivative of -1/2*s + 5/6*s**3 + 1/4*s**2 + 3/8*s**4 - 10. Find o, given that n(o) = 0.
-1, 1/3
Let f(k) = k**4 + k**3 - k**2 - k - 1. Let n(m) = 35*m**4 + 50*m**3 - 30*m**2 - 110*m - 110. Let z(h) = 30*f(h) - n(h). Find v, given that z(v) = 0.
-2, 2
Let v(j) = 4*j**5 - 4*j**3 + 8*j**2 - 8*j + 8. Let s(q) = -q**4 - q**3 + q**2 - q + 1. Let y(u) = 8*s(u) - v(u). Factor y(c).
-4*c**3*(c + 1)**2
Let h(g) be the first derivative of -3*g**4/4 + 3*g**3 + 3*g**2/2 - 9*g - 10. Factor h(v).
-3*(v - 3)*(v - 1)*(v + 1)
Let p(n) be the first derivative of 1 - 2/3*n**3 + 1/5*n**5 - 2*n + n**2 - 1/6*n**4. Let w(x) be the first derivative of p(x). Factor w(k).
2*(k - 1)*(k + 1)*(2*k - 1)
Let k = 1/1752 + 11/2044. Let o(u) be the second derivative of 0*u**2 - 1/24*u**3 + 0*u**5 - 1/60*u**6 + 1/24*u**4 - u + k*u**7 + 0. Find j such that o(j) = 0.
-1, 0, 1
Find z, given that 14/9*z - 2/9*z**2 - 4/3 = 0.
1, 6
Let t be -2 + 231/(-36) - 2. Let w = t + 43/4. Let 1/3*r**3 + r - w - r**2 = 0. What is r?
1
Suppose 2*v - 3*v + 3 = 0. Solve 11*j + 0*j**3 - 7*j**2 + 9*j**4 + 6*j**3 - 2 - 17*j**v = 0.
-1, 2/9, 1
Let m(g) be the first derivative of -g**5/5 + 5*g**4/6 - g**3/9 - g**2 - 7. Solve m(r) = 0 for r.
-2/3, 0, 1, 3
Let f be -2 - -6 - (-1 - 2). Suppose 0 = -f*c + 2*c. Factor c + 0*z - 1/2*z**2.
-z**2/2
Suppose -2/5*t**4 - 2/5*t**3 + 0*t + 2/5*t**2 + 0 + 2/5*t**5 = 0. Calculate t.
-1, 0, 1
Suppose -39*o + 34*o + 5*b = -30, 2*o = 3*b + 16. Solve 3/4*f**3 - 1/4*f**4 - 1/2*f**o + 0*f + 0 = 0.
0, 1, 2
Let n be (-6)/6*(-5 - 1). Factor 0 + 0 + n*d**2 - 2*d**3 + 17*d**3 - 21*d**4.
-3*d**2*(d - 1)*(7*d + 2)
Let o(g) = -g**3 - 7*g**2 - 7*g - 4. Let u be o(-6). Factor -14*b**2 - 5*b + b**u - 3*b**3 + b**2 - 7*b.
-3*b*(b + 2)**2
Let h = -7 - -9. Let v(x) = 3*x**2 - x. Let n(i) = 13*i**2 - 3*i. Let q(a) = h*n(a) - 9*v(a). What is w in q(w) = 0?
0, 3
Let i(u) be the first derivative of 2*u**5/15 + 5*u**4/12 + u**3/3 + u**2/2 - 2. Let h(a) be the second derivative of i(a). Suppose h(y) = 0. Calculate y.
-1, -1/4
Let y = -12 + 14. Let g(p) be the first derivative of 1/11*p**y + 2/33*p**3 + 2 + 0*p. Factor g(v).
2*v*(v + 1)/11
Let b be 11/(99/18)*(-1)/(-2). Determine d, given that -b - 1/2*d + 1/2*d**2 = 0.
-1, 2
Let i(z) = -z**4 - z**2 - 1. Let c(a) = -a**5 - 6*a**4 - 5*a**3 - 4*a**2 - 2. Let f = 3 - 4. Let p(d) = f*c(d) + 2*i(d). Determine y, given that p(y) = 0.
-2, -1, 0
Let p(j) be the third derivative of j**5/15 + j**4 + 6*j**3 - 5*j**2. What is c in p(c) = 0?
-3
Let v(z) be the first derivative of -3*z**5/25 - 3*z**4/10 - z**3/5 + 4. Factor v(j).
-3*j**2*(j + 1)**2/5
Let k(q) = 10*q**5 - 30*q**4 + 43*q**3 - 51*q**2 + 19*q - 3. Let t(c) = c**5 - c**4 - c**3 - c**2. Let i(x) = -k(x) + 6*t(x). Let i(d) = 0. What is d?
1/2, 1, 3
Let i(l) be the first derivative of l**9/756 - l**7/210 - 5*l**3/3 + 3. Let a(x) be the third derivative of i(x). Factor a(p).
4*p**3*(p - 1)*(p + 1)
Let c be (-7)/(-3)*35/(-75). Let i = -8/9 - c. Suppose -1/5*l + 0 + i*l**2 = 0. Calculate l.
0, 1
Solve -2/5*m**4 - 2/5*m**3 + 0*m + 0*m**2 + 0 = 0.
-1, 0
Let q(w) = w**2 - 2*w - 1. Let k be q(2). Let a be (k - (-1)/4)*-4. Factor -4/3*b + 2*b**a - 2/3*b**2 + 0.
2*b*(b - 1)*(3*b + 2)/3
Let a(z) be the second derivative of 5*z**4/12 - 5*z**3/2 + 9*z + 3. Factor a(h).
5*h*(h - 3)
Suppose 13 = 23*j + 13. Factor 1/2*v**5 + j + 5*v**4 + 20*v**2 + 8*v + 33/2*v**3.
v*(v + 1)**2*(v + 4)**2/2
Find x such that -10 + 20*x - 5 + 4*x**5 - 4*x**4 - 34*x**3 - 8*x**2 + 10*x**3 + 27 = 0.
-1, 1, 3
Let z(v) = -2*v**3 - 3*v**2 - 3*v. Let w be z(-2). Factor 7*t + w*t**2 - 3*t - 7*t**2 - t.
3*t*(t + 1)
Let u be (-4)/10 + (-51)/(-15). Suppose -22 = -0*x - 2*x - 4*a, 0 = -5*x - u*a + 27. Factor 2*y**2 + 4*y - 3 + 2 + x.
2*(y + 1)**2
Factor -4/17*i - 2/17*i**5 - 10/17*i**4 + 0 - 14/17*i**2 - 18/17*i**3.
-2*i*(i + 1)**3*(i + 2)/17
Let v(f) be the third derivative of f**6/600 - f**5/150 + f**4/120 - 12*f**2. Suppose v(r) = 0. What is r?
0, 1
Let z = -2 - -2. Suppose z*f - 6 = -3*f. Solve 2*k**4 + 0*k**3 + 4*k**5 - 4*k**3 + f*k - 4*k**2 + 2 - 2*k**5 = 0 for k.
-1, 1
Let r(d) be the second derivative of -1/135*d**6 + 1/27*d**3 + 0 - 1/45*d**5 + 1/27*d**4 - 1/9*d**2 + 2*d + 1/189*d**7. Determine u, given that r(u) = 0.
-1, 1
Let d(z) be the second derivative of -z**4/60 + 7*z**3/30 - z**2 + 20*z. Factor d(l).
-(l - 5)*(l - 2)/5
Factor -2*l**3 