 8/19*c**2 + 40/19*c**3 + 0 + 50/19*c**4.
2*c**2*(5*c + 2)**2/19
Let u = -3 - -3. Factor -1/3*y**4 + 0*y**3 + u + 4/3*y**5 + 0*y**2 + 0*y.
y**4*(4*y - 1)/3
Let a(m) be the second derivative of -m**5/5 - 13*m**4/15 - 22*m**3/15 - 6*m**2/5 + 10*m. Factor a(l).
-4*(l + 1)**2*(5*l + 3)/5
Suppose 5 = -a + 6*a - b, -b = -4*a + 5. Let a - 1/3*q + 1/3*q**2 = 0. Calculate q.
0, 1
Let j(z) be the second derivative of z**6/6 + 7*z**5/20 + z**4/6 - 3*z - 2. Factor j(g).
g**2*(g + 1)*(5*g + 2)
Let n = 17 - 15. Let t(k) be the second derivative of 1/42*k**4 + k - 1/7*k**n + 0 + 0*k**3. Factor t(s).
2*(s - 1)*(s + 1)/7
Suppose 2*q + 3*q = -4*c + 4, q - c - 8 = 0. Factor -34*r - 4 - 6*r**2 + 0*r**q + 24*r + 2*r**4 + 2*r**3.
2*(r - 2)*(r + 1)**3
Suppose 4*s - w + 0*w = 8, -3*s - 5*w = -6. Let x = 31 - 123/4. Let 1/2*a - 1/4 - x*a**s = 0. Calculate a.
1
Let d be 9/(-6)*(-8)/2. Suppose 4*m = d*m. Factor 2*r**3 + 2*r**4 + 0*r**3 + m*r**4.
2*r**3*(r + 1)
Let w(g) = 2*g + 7. Let p be w(5). Suppose 3*d - p - 1 = 0. Let -d*k + 5*k + 2*k**2 + 5*k + 2 = 0. Calculate k.
-1
Let s(z) be the first derivative of z**4/24 + 5*z**3/18 + z**2/4 - 3*z/2 - 2. Factor s(g).
(g - 1)*(g + 3)**2/6
Let w = 70/51 - -5/17. Suppose -w*o**2 - o**4 + 0 + 1/3*o + 7/3*o**3 = 0. What is o?
0, 1/3, 1
Let q(f) be the third derivative of f**8/2520 - f**7/1575 - f**6/150 - f**5/225 + f**4/36 + f**3/15 + 39*f**2. Suppose q(g) = 0. Calculate g.
-1, 1, 3
Let f be (-90)/(-20) - 4/2. Suppose -g = g - 4. Factor -2 + 4*v + f*v**g.
(v + 2)*(5*v - 2)/2
Let z = 8 - 159/20. Let h(f) be the second derivative of 0*f**4 + 0 - 1/30*f**6 + z*f**5 + 0*f**3 + 2*f + 0*f**2. Determine l, given that h(l) = 0.
0, 1
Let u be 2/17 + (-3636)/(-306). Let z be (-3)/(-7)*32/u. Factor -2/7*o**3 + z + 0*o - 6/7*o**2.
-2*(o - 1)*(o + 2)**2/7
Determine t, given that t**5 + t**5 + 59*t**4 - 113*t**4 + 56*t**4 = 0.
-1, 0
Let k be (-58)/(-30) + (-1)/(25/15). Factor 2/3*d + 2/3*d**3 + 0 + k*d**2.
2*d*(d + 1)**2/3
Let k(d) be the first derivative of d**6/10 + d**5/10 - d**4/12 + d + 1. Let p(x) be the first derivative of k(x). Factor p(z).
z**2*(z + 1)*(3*z - 1)
Let h(f) be the third derivative of -f**8/60480 - f**7/3780 - f**6/540 - f**5/30 + 2*f**2. Let w(n) be the third derivative of h(n). Let w(q) = 0. What is q?
-2
Let y(r) be the third derivative of -1/420*r**7 + 5*r**2 + 1/60*r**6 + 0 + 1/24*r**4 - 1/24*r**5 + 0*r**3 + 0*r. Determine n, given that y(n) = 0.
0, 1, 2
Let q(h) be the second derivative of 0 + 0*h**3 - 2*h + 0*h**2 - 1/80*h**5 + 1/16*h**4. Factor q(d).
-d**2*(d - 3)/4
Let a be 10/65 + 18/52. Factor 0 - 1/2*b**4 + 0*b**3 + a*b**2 + 0*b.
-b**2*(b - 1)*(b + 1)/2
Let s(q) be the first derivative of -4/9*q**3 - 1/6*q**4 + 4/3*q + 1/3*q**2 - 1. Solve s(a) = 0.
-2, -1, 1
Let s(k) = 9*k**3 - 2*k**2 - k. Let u be s(-1). Let g be 4/(-10) - 24/u. Suppose -3/4*y**4 + 0 - 3/2*y**5 - 3/4*y + 3/4*y**g + 9/4*y**3 = 0. Calculate y.
-1, 0, 1/2, 1
Factor 25/2*c + 5/2*c**3 - 10*c**2 - 5.
5*(c - 2)*(c - 1)**2/2
Let q(j) be the second derivative of j**6/900 - j**5/150 + j**3 + 6*j. Let u(g) be the second derivative of q(g). Factor u(s).
2*s*(s - 2)/5
Let k(x) be the third derivative of x**6/1320 - x**5/660 - 5*x**4/132 - 4*x**3/33 - 12*x**2. Find z such that k(z) = 0.
-2, -1, 4
Let f(z) be the second derivative of 1/8*z**5 + 3/8*z**4 + 0 + 1/2*z**2 + 1/60*z**6 + 7/12*z**3 - z. Find l such that f(l) = 0.
-2, -1
Let a = -578/5 - -116. Factor 4/5*r + 0 - a*r**2.
-2*r*(r - 2)/5
Find f such that -9 - 41*f + 18*f + 5*f**2 + 20*f - f**3 = 0.
-1, 3
Factor 33/2*n**3 - 6*n**4 + 3/2 + 3/2*n - 27/2*n**2.
-3*(n - 1)**3*(4*n + 1)/2
Let u(i) be the first derivative of -2*i**4 + 4*i**3/3 - 6*i + 8. Let w(r) = -9*r**3 + 5*r**2 - 7. Let q(f) = -7*u(f) + 6*w(f). Factor q(t).
2*t**2*(t + 1)
Suppose 0*h + 2*h - 5*y = 4, 4 = 2*h - 4*y. Suppose d = -h*d + 9. Let n + 12*n**3 + 4*n - 28*n**2 + 37*n**d - n = 0. What is n?
0, 2/7
Let t(w) be the second derivative of w**5/20 + 11*w**4/36 + 5*w**3/18 - w**2/2 - 22*w. Solve t(d) = 0.
-3, -1, 1/3
Let n(z) be the second derivative of -z**7/2520 - z**6/240 - z**5/60 - z**4/3 - 3*z. Let j(f) be the third derivative of n(f). Suppose j(c) = 0. What is c?
-2, -1
Let g(o) be the first derivative of o**6/24 + 3*o**5/20 + 3*o**4/16 + o**3/12 - 16. Factor g(m).
m**2*(m + 1)**3/4
Let j(x) be the first derivative of -3*x**5/5 - 21*x**4/5 - 48*x**3/5 - 24*x**2/5 + 48*x/5 + 10. Solve j(f) = 0.
-2, 2/5
Let h(m) be the third derivative of m**7/7560 + m**6/360 + m**5/40 + m**4/8 + 3*m**2. Let g(i) be the second derivative of h(i). What is p in g(p) = 0?
-3
Let q be (-3)/(6/((-5)/((-60)/(-18)))). Factor 3/4*i**3 + 0 + q*i**2 - 3/2*i**4 + 0*i.
-3*i**2*(i - 1)*(2*i + 1)/4
Determine o so that -o**3 + 2*o + o**2 + 99*o**4 - o - 100*o**4 = 0.
-1, 0, 1
Let b be 1/7 - (-7762)/24066. Let m = b + -4/191. Factor 0*x - 2/3*x**4 - 2/9*x**3 + 0*x**2 + 0 - m*x**5.
-2*x**3*(x + 1)*(2*x + 1)/9
Let -89*m**3 + 72*m**2 - 50*m**3 - 16*m - 10*m**5 + 54*m**4 + 39*m**3 = 0. Calculate m.
0, 2/5, 1, 2
Let q be (15/50*-4)/((-9)/10). Suppose 2/9 + 2*p**2 + q*p = 0. What is p?
-1/3
Let b(r) = r**2 - 10*r + 21. Let m be b(7). Let t(n) be the first derivative of 0*n**4 + 0*n**5 + 0*n**2 + m*n**3 - 1/21*n**6 - 2 + 0*n. Factor t(j).
-2*j**5/7
Find m such that 0 + 4/9*m**4 + 2/9*m**5 + 0*m**2 + 0*m + 2/9*m**3 = 0.
-1, 0
Suppose 24 = 9*k - 3*k. Solve 1/2*c**k + 1/2*c**3 - 1/2*c**5 - 1/2*c**2 + 0 + 0*c = 0 for c.
-1, 0, 1
Suppose 12*i**2 - 18*i**4 + 7*i**3 + 21*i**4 - 19*i**3 = 0. What is i?
0, 2
Suppose 0*u + 1/2*u**4 + 0*u**3 + 0 - 2*u**2 = 0. Calculate u.
-2, 0, 2
Let a(k) be the second derivative of k - 3/5*k**5 + 13/60*k**4 - 32/105*k**7 + 56/75*k**6 + 0*k**2 + 0 - 1/30*k**3. Suppose a(t) = 0. What is t?
0, 1/4, 1
Let c(f) be the second derivative of -f**7/420 + f**5/60 + f**3/6 + 3*f. Let g(o) be the second derivative of c(o). Suppose g(r) = 0. What is r?
-1, 0, 1
Suppose 5*i + 0*i - 15 = 0. Solve 5*w**4 + 45*w**2 + i*w**4 - 27*w + 7*w**4 - 33*w**3 + 6 - 6*w**4 = 0.
2/3, 1
Let x(z) = z + 1. Let i be x(1). Suppose i*d - 5*g - 18 = -g, d + 6 = -3*g. Suppose -4/9*o**2 - 2/9*o**5 + 0*o**d + 2/9*o + 0 + 4/9*o**4 = 0. Calculate o.
-1, 0, 1
Let r(w) be the first derivative of w**4/36 - 2*w - 2. Let t(u) be the first derivative of r(u). Factor t(k).
k**2/3
Let u = -18 + 32. Let t = u + -14. Factor 0*x**2 + 0*x + 2/7*x**3 + 8/7*x**4 + t.
2*x**3*(4*x + 1)/7
Let y(s) = 6*s**4 - 3*s**3 - 9*s**2 - 3. Let m(g) = -5*g**4 + 3*g**3 + 8*g**2 + 2. Let l(k) = -3*m(k) - 2*y(k). Solve l(j) = 0.
-1, 0, 2
Let t be 2 - (-2 + 142/(-4)). Let b = t - 39. Let -b*d + 3/2*d**2 + 0 = 0. Calculate d.
0, 1/3
Let j be (6/8)/(6/4). Let a be ((-2)/(-4))/((-1)/(-3)). Factor 3/2*x + a*x**2 + j + 1/2*x**3.
(x + 1)**3/2
Let t(o) be the second derivative of -5*o**7/42 - 3*o**6/2 - 31*o**5/4 - 85*o**4/4 - 100*o**3/3 - 30*o**2 - 6*o. Find y, given that t(y) = 0.
-3, -2, -1
Let a(p) be the second derivative of -2*p**6/5 - 6*p**5/5 + 3*p**4/4 + 5*p**3/2 - 3*p**2 + 11*p. Solve a(n) = 0 for n.
-2, -1, 1/2
Let l = -5 + 6. Let s = l + 1. Determine b, given that 2*b**3 - 6*b**s - b + b**3 + b = 0.
0, 2
Let v(b) be the first derivative of -9*b**4/4 - 16*b**3/3 + 2*b**2 - 7. What is o in v(o) = 0?
-2, 0, 2/9
Let j(d) be the second derivative of 0*d**2 - 7/195*d**6 + 0 + 6*d + 4/39*d**3 - 4/39*d**4 - 19/130*d**5. Solve j(w) = 0.
-2, -1, 0, 2/7
Let p = -77 + 77. Factor -2/9*i**3 + 0*i + p - 2/9*i**4 + 0*i**2.
-2*i**3*(i + 1)/9
Factor -2/5*s**2 - 12/5*s - 18/5.
-2*(s + 3)**2/5
Let g(h) be the third derivative of -h**8/112 - h**7/35 + h**5/10 + h**4/8 - 3*h**2. Solve g(f) = 0.
-1, 0, 1
Let f = 21/44 - -3/11. Find a such that 0 - a**3 - f*a**2 + 1/4*a = 0.
-1, 0, 1/4
Let y = -568 + 570. Suppose 2/3*q**3 + 4/3*q**y - 4/3 - 2/3*q = 0. What is q?
-2, -1, 1
Factor -1/9*k**5 - 5/9*k**2 + 0*k + 0 - 11/9*k**3 - 7/9*k**4.
-k**2*(k + 1)**2*(k + 5)/9
Let h(l) be the first derivative of 0*l**3 + 1/10*l**5 + 0*l - 1 + 0*l**2 + 0*l**4 + 1/12*l**6. Solve h(f) = 0.
-1, 0
Suppose 0*q - 3*q = -w + 2, q + 8 = 4*w. Let x(h) be the first derivative of -1/12*h**3 + 1/20*h**5 + 1/16*h**4 - 1/8*h**w + 0*h - 1. Find i such that x(i) = 0.
-1, 0, 1
Factor -2/17*n - 2/17 + 2/17*n**3 + 2/17*n**2.
2*(n - 1)*(n + 1)**2/17
Let t be -1*(2 + -4) -