be the second derivative of z + 0 - 1/2*z**2 + 1/12*z**4 + 0*z**j. Factor f(l).
(l - 1)*(l + 1)
Let x(j) be the second derivative of j**6/1440 - j**4/96 - j**3/2 - j. Let v(r) be the second derivative of x(r). What is f in v(f) = 0?
-1, 1
Let g(v) be the first derivative of v**5/20 + v**4/16 + 5. Factor g(l).
l**3*(l + 1)/4
Let w(t) be the third derivative of -1/30*t**5 + 0*t**3 + 1/60*t**6 + 0 + 0*t**4 + 0*t + 6*t**2. Let w(o) = 0. What is o?
0, 1
Suppose 11 = 5*x - v, -3*x + 2*v - 3*v = -5. Let y(i) be the third derivative of 1/12*i**4 + 0 + 1/30*i**5 - 2/3*i**3 + 0*i + 2*i**x. Factor y(d).
2*(d - 1)*(d + 2)
Suppose 2/13*v**5 - 6/13*v + 2/13 - 6/13*v**4 + 4/13*v**3 + 4/13*v**2 = 0. Calculate v.
-1, 1
Let k be 2 + 1/(3/(-9)). Let t be 4 + -4 + (1 - k). Let -c**2 - t*c**3 + c**4 - 3*c**5 + 6*c**5 - 3*c**3 + 2*c = 0. What is c?
-1, 0, 2/3, 1
Let t(c) be the second derivative of -1/15*c**3 - 1/30*c**4 + 1/75*c**6 + 0*c**2 - 3*c + 0 + 1/50*c**5. Suppose t(q) = 0. Calculate q.
-1, 0, 1
Find o such that -29*o + 14 - 5*o**3 + 12*o**2 + 4*o**3 + 5*o**2 - o**2 = 0.
1, 14
Let x be 2/(-5)*(-5)/4. Factor -1/4*j**2 - 3/4*j**3 + 0 + 1/4*j**4 + 1/4*j**5 + x*j.
j*(j - 1)**2*(j + 1)*(j + 2)/4
Let k(l) = 35*l**3 + 33*l**2 - 23*l + 3. Let r(x) = -9*x**3 - 8*x**2 + 6*x - 1. Let f(i) = -6*k(i) - 22*r(i). Determine u, given that f(u) = 0.
-2, -1/3, 1/2
Let p(m) be the third derivative of m**8/6720 - m**6/720 + m**4/8 - m**2. Let o(n) be the second derivative of p(n). Let o(x) = 0. What is x?
-1, 0, 1
Find l, given that 0*l - 11/2*l**4 + 53/6*l**3 - 31/6*l**2 + 2/3 + 7/6*l**5 = 0.
-2/7, 1, 2
Let x(h) be the second derivative of h**6/15 - h**4/6 + 8*h. Factor x(o).
2*o**2*(o - 1)*(o + 1)
Suppose 0*m - m + 2 = 0. Suppose 0*v = -m*v + 6. Factor -10*l**2 + 8*l**3 - v*l**4 - 4*l**4 + 5*l**4 - 3*l + 7*l.
-2*l*(l - 2)*(l - 1)**2
Factor 0 + 1/6*x**2 + 2/3*x.
x*(x + 4)/6
Let s = -36 + 51. What is w in 2 + s*w - 3*w**2 + 4*w**2 - 12*w = 0?
-2, -1
Let x(l) be the third derivative of -l**5/45 + l**4/6 - l**3/2 - l**2. Find t, given that x(t) = 0.
3/2
Let j(r) = r**3 + r**2 + 3*r + 1. Let m(g) = -5*g**3 - 4*g**2 - 15*g - 5. Let p(y) = 11*j(y) + 2*m(y). Factor p(t).
(t + 1)**3
Let k be -6*1/(3 + -2). Let z = -3 - k. Factor 3*p**4 - 5*p**4 - p**3 - p**z.
-2*p**3*(p + 1)
Let t be (-1 - (0 + -18)) + -2. Suppose 6*v - 5*x + t = 3*v, -5*v - 4*x = -12. Find d such that -1/4*d + 1/2*d**3 + 0*d**4 - 1/4*d**5 + 0*d**2 + v = 0.
-1, 0, 1
Let y(m) be the second derivative of m**7/14 + 3*m**6/10 + 9*m**5/20 + m**4/4 - 24*m. Solve y(x) = 0.
-1, 0
Let s(g) be the first derivative of 0*g**3 - 2 + 0*g**5 - 1/120*g**6 + g + 1/48*g**4 + 0*g**2. Let w(x) be the first derivative of s(x). Factor w(r).
-r**2*(r - 1)*(r + 1)/4
Let c(r) = -r**2 - 6*r. Let l = 3 + -7. Let m(a) = -a**2 - 7*a. Let f(b) = l*c(b) + 3*m(b). Solve f(p) = 0.
-3, 0
Suppose 0*u + 4*u - 12 = 0. Let -n**2 + 1 + 3*n**3 - u - 4*n**3 + n + 3*n**2 = 0. Calculate n.
-1, 1, 2
Suppose -5*g + 89 - 14 = 0. Let t be (2/g)/(1/24). Factor 2/5*c**3 + 24/5*c - t - 12/5*c**2.
2*(c - 2)**3/5
Let l(o) = -2*o**3 - 4*o - 6*o**2 - 5 - 8 + 1. Let a(z) = z**2 + 1. Let m(n) = 12*a(n) + l(n). Factor m(y).
-2*y*(y - 2)*(y - 1)
Let m = 6 - 2. Let h(v) be the first derivative of 1/6*v**3 + 0*v - 1/8*v**2 - 1/16*v**m - 2. What is w in h(w) = 0?
0, 1
Let p = 22 - 13. Determine o so that -3*o**4 - p*o**3 - 6*o + 2*o + 3*o**2 + 9*o**5 + 4*o = 0.
-1, 0, 1/3, 1
Let f(j) = -j**3 + j + 1. Let r(d) = 2*d**2 - 4. Let i(a) = -4*f(a) - 2*r(a). Suppose i(o) = 0. What is o?
-1, 1
Determine r, given that -8/7 + 8/7*r - 2/7*r**2 = 0.
2
Let a(i) be the third derivative of i**8/504 - i**6/90 + i**4/36 - 24*i**2. Let a(n) = 0. Calculate n.
-1, 0, 1
Let i(y) be the third derivative of y**8/840 + 4*y**7/525 + y**6/100 - 2*y**5/75 - y**4/15 + y**2. Solve i(r) = 0 for r.
-2, -1, 0, 1
Let c(p) be the third derivative of p**9/52920 - p**8/11760 + p**6/1260 - p**5/420 - p**4/4 + 5*p**2. Let x(l) be the second derivative of c(l). Solve x(t) = 0.
-1, 1
Find y such that 0 + 16 + 20*y + 0 - y**2 + 5*y**2 = 0.
-4, -1
Let r = -2 + 2. Suppose -3*o - 2*o = 5*w - 10, r = 5*o + 5. Suppose 4*b**2 - 2*b**2 + b**2 + 0*b**2 - w = 0. What is b?
-1, 1
Let t(p) be the second derivative of p**6/105 + 3*p**5/70 - 3*p. Factor t(h).
2*h**3*(h + 3)/7
Let k(f) be the first derivative of -f**3/15 - f**2/10 + 31. Let k(a) = 0. Calculate a.
-1, 0
Let x(v) = -3*v**3 + 61*v**2 - 301*v + 499. Let q(c) = c**3 + c**2 - c - 1. Let y(h) = q(h) - x(h). Factor y(k).
4*(k - 5)**3
Let j(h) be the third derivative of h**8/168 + 2*h**7/105 - h**5/15 - h**4/12 - 3*h**2. Factor j(n).
2*n*(n - 1)*(n + 1)**3
Let g(z) be the second derivative of z**4/12 - z**3/6 - z**2 - 6*z. Factor g(p).
(p - 2)*(p + 1)
Let x(a) be the second derivative of a**6/60 + 3*a**5/40 + a**4/8 + a**3/12 - 2*a. Find m, given that x(m) = 0.
-1, 0
Let g(h) be the third derivative of h**7/420 - h**6/60 + h**5/40 + h**4/12 - h**3/3 - 15*h**2. Factor g(i).
(i - 2)**2*(i - 1)*(i + 1)/2
Let b(r) = 29*r**3 - 140*r**2 + 291*r - 180. Let h(q) = -7*q**3 + 35*q**2 - 73*q + 45. Let g(s) = 2*b(s) + 9*h(s). Factor g(y).
-5*(y - 3)**2*(y - 1)
Let q = 128/261 - 4/87. Suppose -22/9*u**4 + 2*u**2 - 2/9*u**3 + 4/3*u**5 - 2/9*u - q = 0. Calculate u.
-2/3, -1/2, 1
Suppose 4*t + 3*t = 5*t. What is g in -g**2 - 1/3*g**3 - 2/3*g + t = 0?
-2, -1, 0
Suppose 0 = -15*i - 14 + 14. Factor 0*b**2 + 0 + i*b - 1/3*b**3.
-b**3/3
Let d(r) be the first derivative of r**3/4 - 15*r**2/8 + 3*r - 1. What is s in d(s) = 0?
1, 4
Determine j so that 0*j + 0*j**4 + 0*j**2 + 2/5*j**5 + 0 + 0*j**3 = 0.
0
Suppose -5*a + 2*t = -50, 5*a - 3*t + 0*t = 45. What is o in -12*o**4 - 3*o**5 - 20*o**3 + 3*o - 4*o - a*o**2 - 2*o + 2*o**3 = 0?
-1, 0
Let c(w) = w**2 - 22*w + 2. Let a be c(22). Let v(s) be the first derivative of -2/5*s**3 - 1/5*s**4 + 2/5*s - 1 + 0*s**a. Let v(f) = 0. Calculate f.
-1, 1/2
Suppose -5*v - 21 = -12*v. Let c(q) be the second derivative of 0 + 0*q**v + 1/90*q**5 + q + 1/54*q**4 + 0*q**2. Determine u, given that c(u) = 0.
-1, 0
Let p(o) = 14*o**4 - 8*o**3 + 11*o**2 - 11*o. Let z(i) = 5*i**4 - 3*i**3 + 4*i**2 - 4*i. Let v(m) = 4*p(m) - 11*z(m). Solve v(a) = 0 for a.
-1, 0
Let i be -2 + (-67)/(-100)*3. Let q(f) be the third derivative of -2*f**2 + 0*f + 0 - 1/30*f**3 - 1/60*f**4 + i*f**5. Let q(l) = 0. What is l?
-1/3, 1
Let a(x) be the third derivative of -x**6/1260 + x**4/63 + 10*x**2. Determine b, given that a(b) = 0.
-2, 0, 2
Let y(a) be the second derivative of -3*a + 5/18*a**4 - 1/30*a**5 + 0 + 4/3*a**2 - 8/9*a**3. Factor y(l).
-2*(l - 2)**2*(l - 1)/3
Factor -161*j + 3*j**3 - 21*j**2 - 3*j**2 - 48 + 221*j.
3*(j - 4)*(j - 2)**2
Factor 4/3*v + 2*v**2 + 1/3 + 4/3*v**3 + 1/3*v**4.
(v + 1)**4/3
Let s(a) be the second derivative of -a**7/420 - a**6/300 + a**5/200 + a**4/120 - 3*a. Solve s(c) = 0.
-1, 0, 1
Let h(y) be the third derivative of 1/90*y**5 - y**2 + 0*y + 1/9*y**3 + 1/18*y**4 + 0. Suppose h(r) = 0. Calculate r.
-1
Let o = -13943/9 + 1551. Find k such that 0 + o*k**3 - 8/9*k**2 + 2/3*k**4 - 2*k**5 + 0*k = 0.
-1, 0, 2/3
Factor -8/9*b + 0 - 2738/9*b**3 - 296/9*b**2.
-2*b*(37*b + 2)**2/9
Let n(l) = l**2 - 6*l + 2. Let t be n(4). Let y = 8 + t. Factor 1/3 + h - 4/3*h**y.
-(h - 1)*(4*h + 1)/3
Let q(v) = 3*v + 3. Let t be q(0). Factor 0*i**t - 1/3*i**2 + 0*i + 0 + 1/3*i**4.
i**2*(i - 1)*(i + 1)/3
Let r(j) be the third derivative of j**5/80 + 7*j**4/32 + 5*j**3/4 + 40*j**2. Factor r(v).
3*(v + 2)*(v + 5)/4
Let d be 6/(-4) - (-21)/6. Factor 4*p + p**4 - 3*p - p**d + 7*p**3 - 4*p**3 + 4*p**2.
p*(p + 1)**3
Factor -1/5*n + 1/5*n**3 - 1/5*n**2 + 1/5.
(n - 1)**2*(n + 1)/5
Let k(s) be the third derivative of -s**7/420 - s**3/2 + s**2. Let b(q) be the first derivative of k(q). Find w such that b(w) = 0.
0
Let l(a) be the second derivative of -a**6/25 + a**5/10 + 23*a**4/30 + 19*a**3/15 + 4*a**2/5 + a + 19. Solve l(m) = 0 for m.
-1, -1/3, 4
Let t(q) = -5*q**3 - 15*q**2 - 12*q - 5. Let s(p) = 5*p**3 + 16*p**2 + 13*p + 6. Suppose 2*c - 7 + 1 = 0. Let u(r) = c*s(r) + 4*t(r). Solve u(f) = 0 for f.
-1, -2/5
Let u(p) be the first derivative of -p**5/10 - p**4/6 + p**3/3 + p**2 - 3*p - 3. Let m(g) be the first derivative of u(g). Suppose m(d) = 0. What is d?
-1, 1
Let i(w) be the third derivati