n**4/156 + 2*n**3/39 - n**2/2 - 5. Let i(y) be the second derivative of j(y). Solve i(k) = 0.
-1, 2/3
Let x(v) = 2*v - 8. Let b be x(6). Let a = -1 + b. Factor g**3 - 3*g**3 + a*g**2 - 5*g**2.
-2*g**2*(g + 1)
Factor -10 - i**2 + i**3 + i**3 - 2*i**2 - 3*i**2 - 18*i.
2*(i - 5)*(i + 1)**2
Let u(w) = -w**2 - 2*w - 5. Let g(y) = 1. Let j(t) = 4*g(t) + u(t). Factor j(z).
-(z + 1)**2
Let h(k) be the second derivative of -k**3/6 + 5*k**2/2 + 2*k. Let b be h(0). Factor 5*a**2 + b*a**2 + 0*a + 3*a**3 + 4*a + 3*a**3.
2*a*(a + 1)*(3*a + 2)
Suppose -2*c - 2 = -3*f, 2*f - 4*c - c + 6 = 0. Suppose -3*m = 3*h - 6, f*h - m - 3 = 4. Find r, given that -2/9*r**h + 8/9*r**2 + 0 - 8/9*r = 0.
0, 2
Suppose 33 = 2*b - 65. Factor -1 + 21*d**2 - 6*d + 5 + b*d**3 - 18*d.
(d + 1)*(7*d - 2)**2
Factor 0*w**4 + 3/2*w**5 + 0*w + 0 + 0*w**3 + 0*w**2.
3*w**5/2
Let n(j) be the first derivative of -j**6/50 + 3*j**5/50 + j**4/20 - j**3/5 - 3*j + 4. Let x(i) be the first derivative of n(i). Factor x(u).
-3*u*(u - 2)*(u - 1)*(u + 1)/5
Factor -3/5 + 3*c**2 + 12/5*c.
3*(c + 1)*(5*c - 1)/5
Let l(t) = t**3 + 6*t**2 - 2*t + 5. Let o(j) = -j**2 - 1. Let r(h) = 2*l(h) + 10*o(h). Suppose r(g) = 0. What is g?
-2, 0, 1
Let x(g) be the first derivative of -2 + g**2 + 0*g + 1/16*g**4 - 1/120*g**5 - 1/6*g**3. Let n(k) be the second derivative of x(k). Solve n(j) = 0.
1, 2
Let r(p) be the second derivative of p**5/45 - p**4/27 - 2*p**3/27 + 2*p**2/9 + 22*p. Solve r(m) = 0 for m.
-1, 1
Let o be 49/(-290) + 18/30. Let g = 2/29 + o. Factor g*i**2 + 2*i + 2.
(i + 2)**2/2
Let b(f) be the third derivative of 0*f + 1/420*f**7 + 0*f**5 + 0 - 1/120*f**6 + 1/24*f**4 - 5*f**2 - 1/12*f**3. Find z, given that b(z) = 0.
-1, 1
Let f = -244 + 249. Factor 0 - 3/5*n**f + 6/5*n - 3/5*n**4 + 9/5*n**3 + 3*n**2.
-3*n*(n - 2)*(n + 1)**3/5
Let y = 10 + -7. What is m in 6*m**2 - 4*m**2 + 0*m**2 + m**y + m = 0?
-1, 0
Suppose 4*j + 5*h - h - 20 = 0, 4*h + 16 = 5*j. Suppose -3 = -j*b - q + 8, -q = 1. Determine o, given that 0 - 2/5*o + 3/5*o**2 - 1/5*o**b = 0.
0, 1, 2
Let c = -2 - -4. Suppose -z + 9 = -3*i, z - 5*i - 19 = -c*z. What is w in -w + 0*w**2 + 2*w**2 - z*w**2 = 0?
-1, 0
Suppose 2 = 3*z - 2*p, -5*z - 7*p + 2*p + 20 = 0. Determine v, given that -2*v**4 + v**2 + v**5 + 5*v**2 - v**3 - 4*v**z = 0.
-1, 0, 1, 2
Let x(g) be the first derivative of 1/7*g**6 + 0*g**3 - 8/35*g**5 + 1/14*g**4 + 7 + 0*g + 0*g**2. Solve x(m) = 0.
0, 1/3, 1
What is i in 13*i**4 + 4*i**3 + 0 - i**2 + 42/5*i**5 - 2/5*i = 0?
-1, -1/2, -1/3, 0, 2/7
Factor -2/15*x - 2/15*x**3 + 0 - 4/15*x**2.
-2*x*(x + 1)**2/15
Suppose -4*t - t + 27 = -2*u, 0 = t + 5*u. Let r(s) be the third derivative of 0*s**3 + 0*s**4 - 1/60*s**t + 0*s + s**2 + 0. Factor r(q).
-q**2
Let n(z) = z**4 + 4*z + 4*z**3 + 2*z**3 + 2 + 3*z**2 + 2*z**4 + 0*z**3. Let s(p) = -p**4 - p**3 + p**2 - p - 1. Let b(r) = -n(r) - 2*s(r). Factor b(c).
-c*(c + 1)**2*(c + 2)
Let a(y) = -y**2 + 4*y + 14. Let r be a(6). Suppose -2/5*g**4 + 4/5*g**3 - 2/5*g**5 - 2/5 + 4/5*g**r - 2/5*g = 0. What is g?
-1, 1
Let n(b) be the second derivative of -b**6/1980 + b**5/220 - b**3 - 6*b. Let l(j) be the second derivative of n(j). Factor l(h).
-2*h*(h - 3)/11
Factor 2/3*o**4 - 2/3*o**2 - 1/6*o**3 + 0 + 1/6*o.
o*(o - 1)*(o + 1)*(4*o - 1)/6
Let n be (-18)/6 - (-1 - 7). Let a = n + -2. Solve 3/2*b**2 + 1/2*b**a + 3/2*b + 1/2 = 0.
-1
Let a(k) be the first derivative of -3*k**5/40 - 15*k**4/32 - 3*k**3/8 + 27*k**2/16 - 14. Factor a(g).
-3*g*(g - 1)*(g + 3)**2/8
Let v(k) be the first derivative of -14*k**3/15 - k**2/10 - 1. Factor v(s).
-s*(14*s + 1)/5
Let a(d) be the first derivative of d**8/8400 - d**6/900 + d**4/120 - 2*d**3/3 + 1. Let p(f) be the third derivative of a(f). What is u in p(u) = 0?
-1, 1
Let z be ((-1)/(-144))/(6/246). Let x = z + -1/16. Find a, given that x*a**2 + 2/9 + 4/9*a = 0.
-1
Let i(z) be the second derivative of -z**9/60480 + z**8/13440 - z**7/10080 - z**4/6 + z. Let w(o) be the third derivative of i(o). Factor w(n).
-n**2*(n - 1)**2/4
Let r(l) be the first derivative of l**6/9 - 2*l**5/15 - 5*l**4/6 - 2*l**3/3 - 18. Factor r(h).
2*h**2*(h - 3)*(h + 1)**2/3
Let l(g) = g**2 - 14*g - 15. Let i be l(15). Factor i + 2/9*d**2 + 0*d.
2*d**2/9
Suppose -15/7*n + 18/7 - 3/7*n**2 = 0. What is n?
-6, 1
Let o be (-62)/7 + 9 + (-1)/(-7). Suppose -1 = -x + 3. Determine m so that 2/7*m**5 + 20/7*m**2 + 10/7*m**x + 20/7*m**3 + 10/7*m + o = 0.
-1
Let w(k) be the third derivative of 1/540*k**6 - 1/108*k**4 + 3*k**2 + 1/27*k**3 - 1/270*k**5 + 0*k + 0. Factor w(n).
2*(n - 1)**2*(n + 1)/9
Suppose 5 = -5*u + f, -2*u - 5*f + 36 = 11. Suppose -5*c = l + 4*l - 20, 20 = 5*l. Solve c + 1/5*k - 1/5*k**3 + u*k**2 = 0 for k.
-1, 0, 1
Let h(j) be the third derivative of -j**7/105 - j**6/60 + j**5/30 + j**4/12 - 2*j**2. Factor h(z).
-2*z*(z - 1)*(z + 1)**2
Let v(j) be the first derivative of j**7/2100 + j**6/300 - j**4/15 - 2*j**3/3 + 1. Let c(a) be the third derivative of v(a). Determine d so that c(d) = 0.
-2, 1
Factor 0 + 2/3*x**4 + 6*x**2 + 0*x - 4*x**3.
2*x**2*(x - 3)**2/3
Let -5/6*k - 1/3 - 1/6*k**3 - 2/3*k**2 = 0. Calculate k.
-2, -1
Let g(y) be the second derivative of y**4/24 - y**3/4 + y**2/2 + 15*y. Factor g(r).
(r - 2)*(r - 1)/2
Let c(m) = -m**2 - 5*m + 8. Let h be c(-6). Suppose 0 = -5*n - 2*g - 2*g - 6, g = -h*n. Factor 0 - 2*d**n + d - d**4 - 2*d**3 + d**5 + 2*d**4 + 1.
(d - 1)**2*(d + 1)**3
Let v(p) be the first derivative of -p**8/2352 + p**6/280 + p**5/210 - 2*p**2 + 3. Let w(j) be the second derivative of v(j). Factor w(d).
-d**2*(d - 2)*(d + 1)**2/7
Let o(q) be the second derivative of 2*q**6/27 + 19*q**5/90 - q**4/6 - 16*q**3/27 - 4*q**2/9 - 15*q. Suppose o(p) = 0. What is p?
-2, -1/2, -2/5, 1
Let a = 181 + -1625/9. Solve -a*m**3 - 14/9*m**2 + 14/9*m**4 + 4/9*m + 0 = 0 for m.
-1, 0, 2/7, 1
Let f(o) be the first derivative of o**3/3 + 7*o**2/2 + 6*o - 1. Let z be f(-6). Suppose 0 + 8/3*b**4 + 2/3*b**3 - 4/3*b**2 + z*b - 2*b**5 = 0. Calculate b.
-2/3, 0, 1
Let q(w) be the second derivative of -w**6/30 - 2*w**5/5 - 2*w**4 - 16*w**3/3 - 8*w**2 - 4*w. Factor q(v).
-(v + 2)**4
Factor 13*y - y - 34*y**2 + 38*y**2.
4*y*(y + 3)
Let w be 1 + (-4281)/(-189)*3. Let b = w - 200/3. Factor -b - 12/7*v**2 + 24/7*v + 2/7*v**3.
2*(v - 2)**3/7
Let k(c) be the second derivative of 0 + 0*c**2 - 1/6*c**4 + 3*c - 1/3*c**3. Let k(t) = 0. Calculate t.
-1, 0
Let b be 21/154*48/9. Factor -72/11*z - 252/11*z**3 - b - 218/11*z**2 - 98/11*z**4.
-2*(z + 1)**2*(7*z + 2)**2/11
Suppose -2 = -5*f - 4*v, 1 = -3*f - 4*v - 1. Factor o**2 + 2*o - 3*o**2 + f*o.
-2*o*(o - 2)
Factor -1/2 + 3/8*h**2 + 0*h - 1/8*h**3.
-(h - 2)**2*(h + 1)/8
Suppose 0 = -s - s + 4*q + 4, s - 4*q = -2. Solve s*l**4 - 2 - 2*l**5 - l**5 - 4*l**5 + 10*l**4 - 4*l**3 - 14*l**2 + 11*l = 0.
-1, 2/7, 1
What is b in 4/7*b**4 + 0 + 0*b**2 - 2/7*b**5 - 2/7*b**3 + 0*b = 0?
0, 1
Suppose -n - 4*m = 17, 4*n + 0 + 13 = -5*m. Factor -3*j**3 + 2*j**4 + n*j**5 + j**4 + 33*j**2 - 36*j**2.
3*j**2*(j - 1)*(j + 1)**2
Let y = -42 + 42. Let q(g) be the third derivative of y*g - 3*g**2 + 1/30*g**5 - 1/24*g**6 + 0 + 0*g**3 + 0*g**4. Factor q(o).
-o**2*(5*o - 2)
Factor 2/13*g**4 + 0*g + 4/13*g**2 + 6/13*g**3 + 0.
2*g**2*(g + 1)*(g + 2)/13
Let z(l) = -18*l**2 + 14*l + 8. Let d(f) = 17*f**2 - 15*f - 8. Suppose 7*o - 8*o = -3. Let x(k) = o*z(k) + 2*d(k). Factor x(c).
-4*(c - 1)*(5*c + 2)
Let w(i) be the second derivative of -i**8/2520 - i**7/1260 - 2*i**3/3 - 3*i. Let r(s) be the second derivative of w(s). Find d, given that r(d) = 0.
-1, 0
Let v(o) be the first derivative of 4*o**5/5 + 2*o**4 - 5. Factor v(b).
4*b**3*(b + 2)
Factor -1/6*a**3 + 1/3*a**2 + 0*a + 0.
-a**2*(a - 2)/6
Let j(w) be the first derivative of 5/9*w**2 + 8/9*w**3 - 4/9*w + 1. What is a in j(a) = 0?
-2/3, 1/4
Determine h so that -5/2*h + 2*h**4 + 2*h**3 - h**2 + 1/2*h**5 - 1 = 0.
-2, -1, 1
Let -15/7*i**3 - 3*i + 27/7*i**2 + 6/7 + 3/7*i**4 = 0. Calculate i.
1, 2
Let l(j) = -j - 9. Let z(b) = 9. Let g(u) = -2*l(u) - 3*z(u). Let t be g(6). Determine w, given that -2/3*w**2 - 2/3*w**t + 0*w + 0 = 0.
-1, 0
Let f(g) be the second derivative of g**7/231 - g**6/165 + 2*g. Factor f(j).
2*j**4*(j - 1)/11
Let j = 283/450 + 13/50. Factor -j - 2/9*o**2 - 8/9*o.
-2*(o + 2)**2/9
Let j = -564 + 32149/57. Let d = 77/57 - j. Factor 0*y + 