**4 - 120/13*z.
2*(z - 5)**2*(z - 1)**2/13
Suppose -3*w = -5*i - 6, 0*w + 3*i - 6 = -3*w. Let x be 7/(7/2) - w. Solve -2/7*v + 2/7*v**3 + 0*v**2 + x = 0.
-1, 0, 1
Let d = -70 - -73. Factor 0*n**2 + 1/4*n**5 + 0 - 1/2*n**d + 0*n**4 + 1/4*n.
n*(n - 1)**2*(n + 1)**2/4
Suppose 0 = -8*a + 9*a - 2. Suppose -24*n + 48 + 0*n**2 - n**a + 5*n**2 - n**2 = 0. Calculate n.
4
Suppose 2*c**4 + 11*c**3 - 3*c**4 - 9*c**3 + 0*c**3 = 0. Calculate c.
0, 2
Let o(n) be the second derivative of n**7/140 + n**6/60 + n**5/60 - n**4/12 + 3*n. Let t(p) be the third derivative of o(p). Factor t(r).
2*(3*r + 1)**2
Let w(k) = k**3 - k**2 - k. Let g(h) = -3*h**3 + 23*h**2 + 28*h. Let a(s) = -g(s) + 2*w(s). Factor a(n).
5*n*(n - 6)*(n + 1)
Let z(b) be the second derivative of b**7/21 + 4*b**6/15 + b**5/2 + b**4/3 + 39*b - 1. Factor z(h).
2*h**2*(h + 1)**2*(h + 2)
Suppose 0 = -2*x + 2 - 4. Let z = x - -4. Factor q**z - q - q**3 + q**3.
q*(q - 1)*(q + 1)
Let p(m) be the second derivative of m**4/4 - m**3/2 + 2*m. Factor p(h).
3*h*(h - 1)
Let b(j) be the third derivative of -j**8/616 + 2*j**7/231 - j**6/55 + j**5/55 - j**4/132 + 7*j**2. Factor b(u).
-2*u*(u - 1)**3*(3*u - 1)/11
Let v(u) be the first derivative of -3 + 0*u + 0*u**3 + 4/5*u**5 - 1/2*u**4 - 1/3*u**6 + 0*u**2. Suppose v(o) = 0. What is o?
0, 1
Let k(a) be the second derivative of -1/2*a**4 - 2*a + 0*a**2 + 7/50*a**5 + 3/5*a**3 + 0 - 1/75*a**6. Factor k(x).
-2*x*(x - 3)**2*(x - 1)/5
Let g(k) be the first derivative of -k**5/10 - 7*k**4/4 - 8*k**3 + 7*k**2/2 + 49*k/2 + 35. Factor g(r).
-(r - 1)*(r + 1)*(r + 7)**2/2
Suppose -8/7 + 8/7*d - 2/7*d**2 = 0. What is d?
2
Suppose 5*y + 25 = 2*w, 4*w + 3*y + 2*y = 5. Determine r so that 0*r**5 + 2*r**4 - 3*r**w + r**5 - 6*r**4 + 6*r**3 = 0.
-3, 0, 1
Let j(t) = -t**3 - 27*t**2 - t - 24. Let z be j(-27). Let 1/4*a**2 + 0 + 0*a**z - 1/4*a**4 + 0*a = 0. What is a?
-1, 0, 1
Let n(y) be the first derivative of -1/3*y**2 + 1/6*y**4 + 0*y - 4/9*y**3 + 4/15*y**5 + 5. Find o such that n(o) = 0.
-1, -1/2, 0, 1
Suppose 35 = -2*h + 7*h. Let m = 9 - h. Factor -2/5*w**3 - 2/5 + 2/5*w**m + 2/5*w.
-2*(w - 1)**2*(w + 1)/5
Let v(a) be the first derivative of 1 + 2*a - 2/3*a**3 + 0*a**2. Factor v(s).
-2*(s - 1)*(s + 1)
Suppose -4*t = 5*a - 61, 2*t - 26 = -3*a + a. Let p = a - 9. Suppose 2/3*w**2 + p + 0*w = 0. What is w?
0
Factor 0 - 12/5*b**2 - 4/5*b**4 - 4/5*b - 12/5*b**3.
-4*b*(b + 1)**3/5
Suppose 0 = -3*p - 4*p + 14. Let t(s) be the first derivative of -1/3*s**6 + 0*s**p + 0*s**3 - 1 - 1/5*s**5 + 1/4*s**4 + 0*s. Solve t(c) = 0 for c.
-1, 0, 1/2
Let t be 19/45 - 96/432. Factor 1/5*q**4 + 0*q + 1/5*q**5 - t*q**3 - 1/5*q**2 + 0.
q**2*(q - 1)*(q + 1)**2/5
Let k(o) be the second derivative of 0*o**3 + 0*o**2 - 1/4*o**4 + 8*o - 1/10*o**6 + 0 + 3/10*o**5. Factor k(v).
-3*v**2*(v - 1)**2
Solve 27*r**2 - 18*r + 10*r**3 + 24*r + 11*r**3 = 0 for r.
-1, -2/7, 0
Suppose -2*i - 2 = 0, 1 = 2*m + 5*i + 2. Factor 3 - 5 + 2*f**3 - 3*f**3 + 2*f**m - f**3 + 2*f.
-2*(f - 1)**2*(f + 1)
Let o(i) be the first derivative of -9*i**5/5 + 15*i**4/2 - 9*i**3 + 3*i**2 + 6. Factor o(w).
-3*w*(w - 2)*(w - 1)*(3*w - 1)
Factor -3/4*q**3 + 0 - 3/4*q**4 + 3/4*q + 3/4*q**2.
-3*q*(q - 1)*(q + 1)**2/4
Let r(s) be the second derivative of -s**7/14 + 9*s**6/10 - 24*s**5/5 + 14*s**4 - 24*s**3 + 24*s**2 - 3*s. Find l such that r(l) = 0.
1, 2
Let c(k) be the first derivative of -1/10*k**4 + 4/15*k**3 + 0*k - 2 - 1/5*k**2. Factor c(i).
-2*i*(i - 1)**2/5
Suppose -3*g = -0*g - 225. Let s be 0 + 5*6/g. Factor 1/5*j**2 - 1/5*j - s.
(j - 2)*(j + 1)/5
Let h(g) = -6*g**3 - 2*g**2 + 1. Let o be h(-1). Let x(a) be the third derivative of 0*a**3 - 1/6*a**4 + 0 + 0*a - 3/10*a**o - 7/60*a**6 + 2*a**2. Factor x(n).
-2*n*(n + 1)*(7*n + 2)
Suppose 0 = -2*h - 3 + 11. Let i(a) be the second derivative of 1/12*a**3 - 2*a + 1/12*a**h + 0 - 1/5*a**5 + 0*a**2. What is j in i(j) = 0?
-1/4, 0, 1/2
Let p = -1 - -12. Suppose y + 3*k = p, 4 = 4*y - 5*k + 11. Factor -4/3*a**y - 4/3*a**4 - 1/3*a**5 + 0 - 2*a**3 - 1/3*a.
-a*(a + 1)**4/3
Let o(g) be the first derivative of 5*g**6/3 + 28*g**5/5 + 69*g**4/10 + 56*g**3/15 + 4*g**2/5 - 8. Solve o(l) = 0 for l.
-1, -2/5, 0
Let c(o) = 2*o**2 + 2*o. Let y = 10 - 5. Let w = 2 - y. Let u(m) = m. Let n(d) = w*u(d) + c(d). Factor n(a).
a*(2*a - 1)
Find k, given that -2*k**3 + 4 - k**3 + 3*k - 1 + 47*k**2 - 50*k**2 = 0.
-1, 1
Let s(b) = -5*b**3 + 13*b**2 + 2*b + 2. Let v(g) = g**2 - g + 1. Let a(u) = -s(u) + 6*v(u). Determine o, given that a(o) = 0.
-1, 2/5, 2
Factor 47*f**2 + 13*f**2 + 11 + 10*f**4 + 16*f - 11 + 54*f**3.
2*f*(f + 1)*(f + 4)*(5*f + 2)
Let o = -667 + 669. Factor -2/7*c**o - 12/7*c - 18/7.
-2*(c + 3)**2/7
Let p be (22/(-60))/(3 + -5). Let g = 1/15 + p. What is z in -1/4 + 1/2*z - g*z**2 = 0?
1
Let d(x) be the first derivative of x**6/1800 + x**5/600 + 2*x**3/3 + 3. Let f(b) be the third derivative of d(b). Find v such that f(v) = 0.
-1, 0
Let c(s) be the second derivative of -s**7/56 + 11*s**6/120 - 3*s**5/20 + s**4/12 - 6*s. Determine f so that c(f) = 0.
0, 2/3, 1, 2
Factor 3*t**2 - 3*t**3 - 2*t + 5*t**3 + t**3 - 4*t**3.
-t*(t - 2)*(t - 1)
Let t(o) = o**5 + 12*o**4 - 5*o**3 - 17*o**2 - o. Let h(y) = y**5 + 6*y**4 - 2*y**3 - 8*y**2 - y. Let i(k) = 5*h(k) - 2*t(k). Factor i(a).
3*a*(a - 1)*(a + 1)**3
Let y(z) be the second derivative of z**6/15 - 4*z**5/5 + 11*z**4/3 - 8*z**3 + 9*z**2 - 4*z. Factor y(j).
2*(j - 3)**2*(j - 1)**2
Determine g so that 3*g**5 + 3*g**3 - 2*g**5 - 4*g**5 = 0.
-1, 0, 1
Suppose -3*h + r - 46 = 6*r, -2*h = 2*r + 24. Let u(b) = -b**2 + 1. Let i(o) = -2*o**2 + 2. Let s(m) = h*u(m) + 4*i(m). What is j in s(j) = 0?
-1, 1
Let g(m) be the second derivative of m**8/112 + m**7/105 - m**6/120 - m**2 + m. Let t(i) be the first derivative of g(i). Factor t(l).
l**3*(l + 1)*(3*l - 1)
Let l be (-4 + 2)*(-2)/4. Suppose -h + 1 + l = 0. Factor 4/3*p**h + 0 + 1/3*p**4 + 4/3*p**3 + 0*p.
p**2*(p + 2)**2/3
Let y(k) be the third derivative of -k**7/1365 - k**6/390 + k**4/78 + k**3/39 + 6*k**2. Factor y(b).
-2*(b - 1)*(b + 1)**3/13
Let k(w) be the second derivative of 5*w**7/14 - w**6/3 + 17*w. Factor k(l).
5*l**4*(3*l - 2)
Let u(r) = -r - 5. Let v be u(-4). Let d be (-2)/6*v*6. Factor -3/4*p**d + p**4 + p**3 - 1/2*p + 1/4.
(p + 1)**2*(2*p - 1)**2/4
Factor 10/17*w - 2/17*w**2 - 2/17*w**3 - 6/17.
-2*(w - 1)**2*(w + 3)/17
Let m(t) be the first derivative of t**3/3 + 3*t**2 + 2*t + 1. Let c be m(-6). Factor 2/5*y**4 - 2/5 - 4/5*y + 0*y**c + 4/5*y**3.
2*(y - 1)*(y + 1)**3/5
Let p = 47/14 - 20/7. Let s(a) be the second derivative of 0 + 1/12*a**4 - 1/3*a**3 - 3*a + p*a**2. Factor s(y).
(y - 1)**2
Suppose 0 = -2*h + 3 + 3. Let t(a) = -6*a**2 + a**h - 6*a**3 - 3*a + 2*a**3. Let i(c) = 8*c**3 + 17*c**2 + 8*c. Let w(q) = -4*i(q) - 11*t(q). Factor w(v).
v*(v - 1)**2
Let n(v) be the second derivative of -1/24*v**3 + 2*v + 0 - 1/24*v**4 - 1/80*v**5 + 0*v**2. Solve n(g) = 0 for g.
-1, 0
Suppose 0 = n + 3*n, -2*w + n + 4 = 0. Let g(u) be the first derivative of w - 1/12*u**3 - 1/8*u**2 + 0*u. Factor g(j).
-j*(j + 1)/4
Let x(l) be the third derivative of -l**7/315 + l**6/90 - l**5/90 - 4*l**2. Factor x(n).
-2*n**2*(n - 1)**2/3
Suppose 2*n = 4*n - 2, w = n - 5. Let l be (-1 + 4)*w/(-36). Factor 2/3*u - 2/3*u**3 + 0*u**2 - 1/3*u**4 + l.
-(u - 1)*(u + 1)**3/3
Let p(k) be the first derivative of -1/9*k**6 + 2/15*k**5 - 1 + 0*k + 1/2*k**4 - 2/3*k**2 - 2/9*k**3. Find m such that p(m) = 0.
-1, 0, 1, 2
Let m(r) = -25*r**5 + 20*r**4 + 50*r**3 - 10*r**2 - 25*r + 20. Let k(p) = -p**5 + p**3 + 1. Let j(i) = 30*k(i) - m(i). Factor j(w).
-5*(w - 1)*(w + 1)**3*(w + 2)
Let b(g) = -2*g**2 + 16*g - 25. Let w(o) = -1. Let z be (-2 - 6)/2 - -2. Let j(u) = z*b(u) - 14*w(u). Factor j(v).
4*(v - 4)**2
Let f(j) = j**3 + 8*j**2 + j. Let k(x) = x**2. Let h(t) = 5*f(t) - 30*k(t). Factor h(y).
5*y*(y + 1)**2
Let g = -27/2 - -15. Factor -g*i**3 - 1/2*i**4 + 1/2*i**2 + 1/2*i**5 + 0 + i.
i*(i - 2)*(i - 1)*(i + 1)**2/2
Let k = 135 - 72. Let b be ((-1)/3)/((-7)/k). Determine s, given that 4/5*s + s**4 + 0 - 7/5*s**b - 8/5*s**2 = 0.
-1, 0, 2/5, 2
Let w(j) = -j**3 - 5*j**2 + 7*j + 8. Let n be w(-6). Factor 14*i - 6*i - 6*i + 2*i**n.
2*i*(i + 1)
Factor -8/7*b + 4/7*b**4 - 16/7*b**3 + 20/7*b**2 + 0.
4*b*(b - 2)*(b - 1)**2/7
Let v(y) be the second derivative