 the first derivative of -c**5/5 + c**3/3 + 2. Suppose o(s) = 0. What is s?
-1, 0, 1
Factor 8*j**3 + 4*j**2 - 52 + 4*j**4 + 52.
4*j**2*(j + 1)**2
Let p(b) = -b**2 - 16*b - 57. Let h be p(-6). Factor -2/9*t**2 + 2/9 - 4/9*t + 4/9*t**h.
2*(t - 1)*(t + 1)*(2*t - 1)/9
Let g be (-6 - -6)*(2 + -3). Let y(u) = u**2 + u - 2. Let s be y(-2). Find x, given that -1/4*x**4 + g + s*x + 0*x**2 + 0*x**3 = 0.
0
Let v(a) = 2*a**2 - 2*a - 2. Let s(d) = 8*d**2 - 9*d - 8. Let f(g) = -2*s(g) + 9*v(g). Factor f(t).
2*(t - 1)*(t + 1)
Let n(l) be the first derivative of -l**8/336 + l**6/40 - l**5/30 + 2*l**2 + 1. Let d(z) be the second derivative of n(z). Solve d(h) = 0 for h.
-2, 0, 1
Factor 0*w**4 - 2/5*w**5 + 0*w**2 + 4/5*w**3 + 0 - 2/5*w.
-2*w*(w - 1)**2*(w + 1)**2/5
Suppose 0*f + 4/9*f**2 + 0 + 2/9*f**4 - 2/3*f**3 = 0. What is f?
0, 1, 2
Suppose 2*p - 10 = u, 0*p = -2*p - 3*u + 10. Suppose 0 = 5*l + 5*h - 40 + 10, 0 = p*l + 2*h - 18. Factor -3*g**4 + 2*g**2 + 6 + 7*g**l + 4*g + 3*g**3 - 19*g.
-3*(g - 1)**3*(g + 2)
Let i = 2 - -26. Factor 3*u**3 - 13*u - i + 37*u + 16 - 15*u**2.
3*(u - 2)**2*(u - 1)
Let q(k) be the second derivative of -k**6/135 + k**5/10 - 7*k**4/18 + 19*k**3/27 - 2*k**2/3 + 16*k. Factor q(d).
-2*(d - 6)*(d - 1)**3/9
Let l(y) be the second derivative of 1/36*y**3 + 0 + 1/180*y**6 + 0*y**2 + 1/40*y**5 + 3*y + 1/24*y**4. Find g, given that l(g) = 0.
-1, 0
Let k = 602/279 + -60/31. Find s, given that -1/9 - k*s - 1/9*s**2 = 0.
-1
Let i(h) be the first derivative of 0*h**2 - 1/18*h**4 + 1 - 2/9*h**3 - 2*h. Let l(k) be the first derivative of i(k). Factor l(n).
-2*n*(n + 2)/3
Let x = 622/27 + -208/9. Let i = 19/108 - x. Factor 0*g - i*g**2 - 1/2*g**3 - 1/4*g**4 + 0.
-g**2*(g + 1)**2/4
Suppose -10 = -5*t, -2*s + 4 = t - 2. Suppose -z + 2*z = s. Factor 3*v**3 + 14 + 3*v - 6*v**z - 14.
3*v*(v - 1)**2
Let l(b) be the second derivative of b**5/8 - 5*b**4/8 - 15*b**3/4 - 25*b**2/4 + b. Factor l(v).
5*(v - 5)*(v + 1)**2/2
Let j(d) be the third derivative of -d**7/210 - d**6/24 - 2*d**5/15 - d**4/6 - 16*d**2. Determine i, given that j(i) = 0.
-2, -1, 0
Let i(a) be the first derivative of a**3/3 - a**2/2 - 4. Factor i(f).
f*(f - 1)
Factor -2/3*w**2 + 2/3*w + 4/3.
-2*(w - 2)*(w + 1)/3
Suppose -2*a + 33 = 25. Determine s so that 0*s**2 - 2/3*s**3 - 1/3 + 2/3*s + 1/3*s**a = 0.
-1, 1
Let y(b) be the second derivative of b**5/60 + b**4/4 + 3*b**3/2 + b**2 - b. Let r(v) be the first derivative of y(v). Factor r(c).
(c + 3)**2
Let j(k) = -2*k**3 + 8*k**2 + 5*k - 5. Let d(n) = 7*n**3 - 23*n**2 - 15*n + 15. Let o(x) = 3*d(x) + 8*j(x). Factor o(m).
5*(m - 1)**2*(m + 1)
Factor 6*f**2 - 2*f**5 + 4*f**5 + 3 + 6*f**3 - 9*f - 9*f**4 + f**5.
3*(f - 1)**4*(f + 1)
Let s(z) be the second derivative of -z**5/100 - z**4/12 - 4*z**3/15 - 2*z**2/5 + 23*z. Suppose s(v) = 0. Calculate v.
-2, -1
Let x(i) = 2*i - 1. Let z(t) = 4*t**3 - 96*t**2 + 780*t - 2054. Let k(n) = -6*x(n) + z(n). Factor k(g).
4*(g - 8)**3
Let u(y) be the first derivative of y**4/6 - y**3/5 - 2*y**2/5 - y - 1. Let o(j) be the first derivative of u(j). Factor o(r).
2*(r - 1)*(5*r + 2)/5
Let x be (-69)/(-21) + (-2)/7. Let k(g) be the first derivative of -1/2*g - 1/4*g**4 - 1/4*g**x + 9/8*g**2 - 1. Factor k(c).
-(c - 1)*(c + 2)*(4*c - 1)/4
What is z in -10 - 16*z**2 - 5*z**5 - 10*z**2 + 36*z**2 + 20*z**3 - 15*z = 0?
-1, 1, 2
Let f(l) be the third derivative of -1/102*l**4 + 0*l + 1/510*l**6 + 0*l**5 + 8*l**2 + 0 - 1/1785*l**7 + 1/51*l**3. Factor f(o).
-2*(o - 1)**3*(o + 1)/17
Let c(v) = 6*v - 3*v + 3*v - 5*v - 1. Let j be c(1). Solve 1/3*z + 1/3*z**2 + j = 0 for z.
-1, 0
Let f(o) = -o**2 - 4*o - 2. Let u be f(-2). Factor -q - q - 4*q**u - q**2 + 3*q**2.
-2*q*(q + 1)
Let x(l) = 3*l**4 - 6*l**3 + 24*l**2 - 26*l + 9. Let w(g) = g**4 + g**3 + g**2 - g. Let z(q) = -4*w(q) + 2*x(q). Let z(i) = 0. What is i?
1, 3
Find t, given that 0*t - 3*t**2 + 3*t**3 + 3/4*t**4 + 0 - 3/4*t**5 = 0.
-2, 0, 1, 2
Let z be (-37)/((-3885)/90)*21/4. Factor 0 + 1/2*u**3 + z*u + 3*u**2.
u*(u + 3)**2/2
Let y(d) = -d**3 - 4*d**2 - 4*d - 3. Let b be y(-3). Factor b*t**4 - 2*t**4 + 2*t**3 + 4*t**4.
2*t**3*(t + 1)
Let u(f) = 4*f**4 - f**3 - 3*f**2 - 5*f - 5. Let x(w) = w**4 - w**3 - w - 1. Let b(d) = u(d) - 5*x(d). Solve b(j) = 0 for j.
0, 1, 3
Let q(n) be the third derivative of n**6/24 - n**5/6 - 35*n**4/24 - 10*n**3/3 - 6*n**2 + 5. Determine l, given that q(l) = 0.
-1, 4
Let i(u) be the third derivative of 1/48*u**6 + 0*u + 1/24*u**4 + 7/120*u**5 + 0*u**3 - 3*u**2 + 0. Factor i(k).
k*(k + 1)*(5*k + 2)/2
Let a(m) be the third derivative of -1/60*m**4 + 0*m**5 + 0*m**3 + 3*m**2 + 0 + 0*m + 1/300*m**6. Suppose a(h) = 0. Calculate h.
-1, 0, 1
Let z be (1 - 3)*(-6)/(-4). Let y(q) = q**3 + 4*q**2 - 3*q + 3. Let f(k) = -2 - 4 - 3*k**3 + 4 + 7*k - 9*k**2 - 5. Let d(n) = z*f(n) - 7*y(n). Factor d(a).
a**2*(2*a - 1)
Let i(k) be the second derivative of k**6/30 + k**5/28 - k**4/42 + 3*k. Solve i(h) = 0.
-1, 0, 2/7
Let r(a) be the third derivative of a**6/60 - a**5/45 + a**4/108 - 24*a**2. What is f in r(f) = 0?
0, 1/3
Factor -2/3*d**5 - 4/3*d**2 + 2/3*d + 0*d**3 + 0 + 4/3*d**4.
-2*d*(d - 1)**3*(d + 1)/3
Let m(w) be the third derivative of -w**10/10080 - w**9/3024 - w**8/2880 - w**7/7560 - w**4/6 + 2*w**2. Let a(k) be the second derivative of m(k). Factor a(o).
-o**2*(o + 1)*(3*o + 1)**2/3
Let -3/4*q**5 + 0 + 3/2*q**2 + 5/2*q**4 - 3*q**3 - 1/4*q = 0. What is q?
0, 1/3, 1
Determine g so that -10/19*g + 8/19*g**3 + 4/19 + 2/19*g**5 - 8/19*g**4 + 4/19*g**2 = 0.
-1, 1, 2
Let l be 3 + (33/(-44))/((-1)/(-4)). Factor 0*x - 3/5*x**3 + l*x**2 + 0.
-3*x**3/5
Let h(k) be the first derivative of k**7/1470 - k**6/840 - k**2 + 6. Let d(g) be the second derivative of h(g). Factor d(a).
a**3*(a - 1)/7
Let d(t) be the second derivative of t**7/168 - 3*t**6/40 + 23*t**5/80 - 7*t**4/48 - t**3 + 2*t**2 + 28*t. Let d(a) = 0. What is a?
-1, 1, 4
Let a = 2 + 5. Let 9*g**2 + 0*g**2 + 2*g**3 - 2*g**5 - a*g**2 - 2*g**4 = 0. What is g?
-1, 0, 1
Suppose -3*m - 5*j = -390, -m + 132 = -2*j + 3*j. Let o = -935/7 + m. Factor 6/7*k - 4/7 + o*k**2.
2*(k + 1)*(5*k - 2)/7
Find y, given that -11/4*y**3 + 0 - 19/4*y**2 - y + y**4 = 0.
-1, -1/4, 0, 4
Let t = 1 - -1. Let a(z) = -2*z - 2. Let x be a(-3). Let 2*u**2 - 4*u + x*u + t*u**3 = 0. What is u?
-1, 0
Let x = 17/27 - -1/27. Factor -x*y**3 + 2/3*y + 4/3*y**2 - 4/3.
-2*(y - 2)*(y - 1)*(y + 1)/3
Factor -4/5*j - 2/5*j**3 - 6/5*j**2 + 0.
-2*j*(j + 1)*(j + 2)/5
Suppose -t = 3*t - 84. Suppose 2*p = -2*x + x + 8, 3*p = 3*x + t. Factor -p + 1 + 2 - 5*w**2 + 3*w + 4.
-(w - 1)*(5*w + 2)
Factor -4*g**2 + 5*g**2 - 2*g**4 - g**3 + g**5 + g**4.
g**2*(g - 1)**2*(g + 1)
Let h(g) be the third derivative of g**8/84 + 4*g**7/105 + g**6/30 + 5*g**2. What is r in h(r) = 0?
-1, 0
Let a = 36 - 36. Factor a*z - 1/2*z**2 + 1/2.
-(z - 1)*(z + 1)/2
Suppose -3*p - 30 = -18*p. What is l in p*l + 3 + 1/3*l**2 = 0?
-3
Let b(i) be the third derivative of -i**5/270 - i**4/108 + 2*i**3/27 - 4*i**2. What is g in b(g) = 0?
-2, 1
Let z be 14/8*(-4)/(-28). Let i(m) be the first derivative of -3/20*m**5 + z*m**2 + 0*m - 1/8*m**4 + 1/4*m**3 + 3. Determine q, given that i(q) = 0.
-1, -2/3, 0, 1
Suppose -3*u = -2*m + 8, 2*u + 4 + 3 = m. Let n(l) = 5*l**4 + 5*l**3 - 7*l**2 - 3*l. Let b(f) = f**3 - 1. Let o(x) = u*b(x) + 3*n(x). Factor o(z).
3*(z - 1)*(z + 1)**2*(5*z - 2)
Let m = 15 + -9. Let x(h) be the third derivative of -1/90*h**5 + 0*h**3 + 0*h**4 + 0*h + 0 - 2*h**2 + 1/180*h**m. Factor x(t).
2*t**2*(t - 1)/3
Let d be (3 + -5)*2/(-144). Let s(h) be the second derivative of -1/120*h**5 + d*h**3 + 0*h**2 + 0 + 1/180*h**6 + 3*h - 1/72*h**4. Factor s(o).
o*(o - 1)**2*(o + 1)/6
Let t be (-2)/3 - 4/(-6). Let r be 0 + 3/(-27)*-3. Determine b so that 0*b**3 - r*b**4 + t*b**2 - 1/3*b**5 + 0*b + 0 = 0.
-1, 0
Let 0*h + 0*h**2 + 0 + 3/7*h**3 = 0. What is h?
0
Let l(r) be the second derivative of r**6/30 + r**5/36 - r**4/36 + 3*r**2/2 + r. Let y(t) be the first derivative of l(t). Factor y(h).
h*(3*h + 2)*(4*h - 1)/3
Let z(c) be the first derivative of -5*c**3/9 + 40*c**2/3 - 320*c/3 + 5. Factor z(q).
-5*(q - 8)**2/3
Let z(n) be the first derivative of -n**5 + 5*n**4 + 25*n**3/3 - 7. What is h in z(h) = 0?
-1, 0, 5
Let w(i) be the first derivative of -1/10*i**5 + 1/6*i**3 + 0*i**4 - 1 + 0*i 