+ 2/15*k**5 + 0*k - 1/12*k**4. Factor n(c).
-2*c*(c - 1)*(3*c - 1)
Let v(c) be the third derivative of c**5/120 + c**4/12 - 7*c**2. Suppose v(n) = 0. Calculate n.
-4, 0
Suppose 8*q - 13*q = 0. Let j(v) be the third derivative of q + 2*v**2 + 1/90*v**5 - 1/18*v**4 + 0*v**3 + 0*v. Find l, given that j(l) = 0.
0, 2
Factor -30*m**2 - 19*m**3 + 3*m - 17*m + m + 5*m - 3*m**4.
-m*(m + 2)*(m + 4)*(3*m + 1)
Let o(z) = -z**5 + 4*z**4 - 2*z**3 - 4*z**2 - z - 2. Let b(t) = -t**5 + t**4 - t**3 - t**2 - 1. Let f = 9 + -7. Let y(n) = f*b(n) - o(n). Factor y(l).
-l*(l - 1)*(l + 1)**3
Let k be (((-16)/(-4))/4)/(-1). Let v be 1*((-4)/8 - k). Factor v*f**3 - 1/4*f**4 + 0 + 0*f + 0*f**2.
-f**3*(f - 2)/4
Let n(r) = -13*r. Let x be n(0). Let z(u) be the first derivative of u**3 - 4 - 3/2*u**2 + x*u. Factor z(b).
3*b*(b - 1)
Let i(v) = -20*v**3 + 60*v**2 + 20*v - 72. Let h(k) = 8*k**3 - 24*k**2 - 8*k + 29. Let q(c) = 12*h(c) + 5*i(c). Factor q(t).
-4*(t - 3)*(t - 1)*(t + 1)
Let d = -26 - -26. Let m(o) be the first derivative of 0*o**3 - 2/5*o**5 + 0*o**2 - 1 + d*o + 1/2*o**4. Factor m(h).
-2*h**3*(h - 1)
Let b(o) = o - 13. Let j be b(15). Let v(l) be the third derivative of 4*l**j + 0 + 0*l**3 + 0*l**5 + 0*l + 1/48*l**4 - 1/240*l**6. What is s in v(s) = 0?
-1, 0, 1
Factor 1/5*i**2 + 9/5 - 6/5*i.
(i - 3)**2/5
Let g be (1/(-6))/(9/(-48)). Let a(d) be the first derivative of 1/6*d**4 - 4/3*d - g*d**3 + 2 + 5/3*d**2. Let a(o) = 0. What is o?
1, 2
Let k(o) be the third derivative of o**5/15 - 5*o**4/3 + 50*o**3/3 - 19*o**2. Determine b, given that k(b) = 0.
5
Let p(r) be the second derivative of -1/48*r**4 + 3*r + 0*r**2 + 1/24*r**3 + 0. Let p(y) = 0. What is y?
0, 1
Let o = -2 - -3. Let u(q) = -10*q**4 + 3*q**3 + 7*q**2 + 6*q + 6. Let v(x) = -x**4 + x**2 + x + 1. Let w(s) = o*u(s) - 6*v(s). Factor w(r).
-r**2*(r - 1)*(4*r + 1)
Let u = 29 + -26. Let k(y) be the second derivative of 1/9*y**4 + 0*y**u + 0 + 0*y**5 - 1/45*y**6 + y - 1/3*y**2. Solve k(o) = 0 for o.
-1, 1
Let b(o) = 3*o + 3. Let g be b(-1). Let m(z) be the second derivative of 1/3*z**3 + 0 + 17/10*z**5 + z + 5/4*z**4 + g*z**2 + 7/10*z**6. Factor m(y).
y*(y + 1)*(3*y + 1)*(7*y + 2)
Let -2*d**5 - 20 + 20 = 0. Calculate d.
0
Let r be -4 + 2 + -2 + 2. Let n = r + 5. Factor 0 - 1/4*h**4 + 1/4*h - 1/4*h**n + 1/4*h**2.
-h*(h - 1)*(h + 1)**2/4
Suppose 0*n - 2*n = -6. Suppose n - 7 = -2*j. Find r such that -1/2*r**j - 1/2*r + 0 = 0.
-1, 0
Suppose 0 = -5*a + 27 - 7. Suppose 0 = a*b - 0*b - 8. Factor -4*y**2 - y**5 + 2*y**4 + b*y**2 + 0*y + y.
-y*(y - 1)**3*(y + 1)
Let a(c) = -c**2 + 5*c + 2. Let j be a(3). Let q be 4/j - (-1)/6. Let -q - 2/3*u**2 - 4/3*u = 0. Calculate u.
-1
Let u(b) = -3*b**5 - 4*b**4 + 7*b**3 + 4*b + 4. Let g(x) = 3*x**5 + 3*x**4 - 6*x**3 - 3*x - 3. Let a(n) = 4*g(n) + 3*u(n). Factor a(o).
3*o**3*(o - 1)*(o + 1)
Let x(c) be the first derivative of -c**7/1680 + c**6/180 - c**5/60 + 2*c**3 + 8. Let h(p) be the third derivative of x(p). Find l, given that h(l) = 0.
0, 2
Let s(t) be the third derivative of -t**5/10 - t**4/12 + 2*t**3/3 + 11*t**2. Determine n, given that s(n) = 0.
-1, 2/3
Let m(g) be the third derivative of g**7/630 + g**6/45 + g**5/10 - g**4/4 + 5*g**2. Let p(s) be the second derivative of m(s). Determine f so that p(f) = 0.
-3, -1
Let j(p) be the first derivative of -p**6/21 - 2*p**5/35 + 3*p**4/14 + 2*p**3/21 - 2*p**2/7 - 9. Find h such that j(h) = 0.
-2, -1, 0, 1
Factor -1/2*i**2 - 1/2 - i.
-(i + 1)**2/2
Factor 2/7*t**4 - 4/7 + 2/7*t**2 - 6/7*t**3 + 6/7*t.
2*(t - 2)*(t - 1)**2*(t + 1)/7
Let h(l) = -5*l**3 - 31*l**2 + 13*l**2 + 3*l - 3*l**4 + 17*l**3. Let y(i) = -3*i**4 + 12*i**3 - 19*i**2 + 2*i. Let r(m) = -4*h(m) + 3*y(m). Factor r(a).
3*a*(a - 2)*(a - 1)**2
Suppose 0 = -4*r - 5*x - 5, -2*x = r + 2 - 0. Solve 1/3*q**4 - 1/3*q**2 - 2/3*q**3 + r + 2/3*q = 0.
-1, 0, 1, 2
Let c(v) = -8*v - 32. Let x be c(-4). Let i(m) be the first derivative of x*m**2 + 2/27*m**3 - 2/9*m - 2. Factor i(n).
2*(n - 1)*(n + 1)/9
Let o(r) be the third derivative of -r**7/1155 + r**5/165 - r**3/33 - 16*r**2. Factor o(l).
-2*(l - 1)**2*(l + 1)**2/11
Let v(r) = 46*r**2 + 40*r - 22. Let f(h) be the first derivative of 5*h**3 + 13*h**2/2 - 7*h - 9. Let z(c) = -16*f(c) + 5*v(c). Let z(p) = 0. What is p?
-1, 1/5
Let a(b) be the third derivative of -b**6/40 + b**5/10 + b**4/8 - b**3 - 11*b**2. Solve a(p) = 0 for p.
-1, 1, 2
Let w(g) be the third derivative of g**6/90 + 7*g**5/90 + g**4/18 - g**3/3 - 20*g**2. Solve w(d) = 0 for d.
-3, -1, 1/2
Let q(c) be the first derivative of -c**4/60 + c**2/10 - 5*c + 2. Let n(m) be the first derivative of q(m). Determine z, given that n(z) = 0.
-1, 1
Let d be 10/(-4)*24/(-20). Let y be 9/(-12)*(-2)/d. Let y*l**3 + 6*l + 4 + 3*l**2 = 0. What is l?
-2
Let c = 17 - 12. Let k(p) = 7*p**2 - 4*p + 7. Let n(m) = 6*m**2 - 3*m + 6. Let h(g) = c*k(g) - 6*n(g). Factor h(f).
-(f + 1)**2
Let l(y) be the first derivative of -y**6/75 + y**5/50 + y**4/30 - y**3/15 + y - 1. Let n(i) be the first derivative of l(i). Find q such that n(q) = 0.
-1, 0, 1
Let p(a) be the third derivative of -a**9/52920 - a**8/11760 - 5*a**4/24 - 2*a**2. Let m(j) be the second derivative of p(j). Factor m(g).
-2*g**3*(g + 2)/7
Let y(j) be the second derivative of j**4/30 + 2*j**3/5 + 9*j**2/5 + 10*j. Factor y(z).
2*(z + 3)**2/5
Let g be -7 + 11 + (-16)/6. Solve 2*o**2 + 2/3*o**3 + g - 2/3*o**4 - 10/3*o = 0 for o.
-2, 1
Let i(m) be the first derivative of -m**6/120 + m**5/30 - m**4/24 - 3*m**2/2 - 4. Let x(q) be the second derivative of i(q). Factor x(h).
-h*(h - 1)**2
Factor 3 - 2*b**4 - 42*b + b**2 + 10*b**3 - 3*b**2 + 33.
-2*(b - 3)**2*(b - 1)*(b + 2)
Let v(h) be the first derivative of h**6/2 - 12*h**5/5 - 3*h**4/2 + 12*h**3 + 27*h**2/2 + 5. Factor v(g).
3*g*(g - 3)**2*(g + 1)**2
Let a(s) = -s**3 + 17*s**2 - 20*s + 66. Let c be a(16). Suppose 4/11*k + 2/11 + 2/11*k**c = 0. What is k?
-1
Let i(m) be the second derivative of -m**4/30 + 7*m**3/15 - 2*m**2 - 3*m + 3. Solve i(p) = 0.
2, 5
Let g(d) be the first derivative of 3*d**4/8 - d**3/3 - d**2/4 + 1. Find j, given that g(j) = 0.
-1/3, 0, 1
Let j(p) = p**2 + 3*p - 4. Let i be j(-4). Let u(l) be the third derivative of i*l + 1/240*l**5 - l**2 + 0*l**4 - 1/24*l**3 + 0. Factor u(a).
(a - 1)*(a + 1)/4
Let y(a) be the first derivative of -a**4/8 - a**3 - 3*a**2 + a - 1. Let f(v) be the first derivative of y(v). Factor f(t).
-3*(t + 2)**2/2
Let p(u) be the third derivative of -u**6/600 + u**5/100 + 32*u**2. Find a, given that p(a) = 0.
0, 3
Let f = 1 + -1. Let h = 23/60 + -1/20. Determine a so that f*a + 0 - 1/3*a**2 + h*a**3 = 0.
0, 1
Let t(j) = j**2 - 13*j - 8. Let n be t(14). Suppose -n*d = -2*d. Factor w**2 - 4/3 + 1/3*w**3 + d*w.
(w - 1)*(w + 2)**2/3
Find j such that -4/5*j**3 + 0 + 0*j**2 + 0*j - 18/5*j**4 - 14/5*j**5 = 0.
-1, -2/7, 0
Let r be 3/(-1) + 22/6. Let j(y) be the first derivative of -y**2 + r*y**3 + 1 + 0*y. Factor j(p).
2*p*(p - 1)
Let o(p) be the first derivative of -2*p**3/21 + 6*p**2/7 + 12. Factor o(a).
-2*a*(a - 6)/7
Let w(j) be the first derivative of -3*j**4/28 + 3*j**3/7 + 3*j**2/14 - 9*j/7 - 17. Factor w(c).
-3*(c - 3)*(c - 1)*(c + 1)/7
Let r(c) be the third derivative of 7*c**8/48 - 13*c**7/30 + 9*c**6/20 - 23*c**5/105 + c**4/21 - 7*c**2. Factor r(g).
g*(g - 1)*(7*g - 2)**3/7
Find w, given that -10 - 51*w**3 + 10*w**2 - 47*w**3 + 96*w**3 + 2*w = 0.
-1, 1, 5
What is l in -2/13*l**5 + 0 + 0*l + 2/13*l**2 + 2/13*l**3 - 2/13*l**4 = 0?
-1, 0, 1
Suppose 0 + 8 = 4*x. Let h(p) = -p - 2. Let r be h(-4). What is b in -b + b - x*b**r = 0?
0
Let d(q) be the first derivative of 2*q**6/9 - q**5/5 - q**4/12 + 6. Factor d(t).
t**3*(t - 1)*(4*t + 1)/3
Suppose -2*i + j - 1 = 0, i = 2*j + j - 13. Find a, given that 0*a**2 + a - 4*a + 0*a - 3*a**i = 0.
-1, 0
Let u(b) be the second derivative of -b**7/77 + b**6/15 - 3*b**5/22 + 3*b**4/22 - 2*b**3/33 - 16*b. Factor u(s).
-2*s*(s - 1)**3*(3*s - 2)/11
Let k(p) be the second derivative of -p**6/90 + p**5/15 - p**4/6 + 2*p**3/9 - p**2/6 - 11*p. Factor k(n).
-(n - 1)**4/3
Let h(f) be the third derivative of -f**5/270 - 13*f**4/108 + 5*f**2 + 1. Find k such that h(k) = 0.
-13, 0
Let n(l) = 3*l**2 - 1. Let r(i) = -13*i**2 - i + 5. Let a(k) = -18*n(k) - 4*r(k). Factor a(w).
-2*(w - 1)**2
Let 2/3*m**3 - 2/9 - 14/9*m**2 + 