y**6/3 - 4*y**5 - 9*y**4 - 28*y**3/3 - 4*y**2 + 9. Find v such that w(v) = 0.
-2, -1, 0
Let m(o) = o**5 - o**3 - o + 1. Let w(c) = 2*c**5 + 17*c**4 + 24*c**3 + 11*c**2 + 5*c - 3. Let y(l) = -3*m(l) - w(l). Factor y(a).
-a*(a + 1)**3*(5*a + 2)
Let o(h) be the third derivative of -2*h**2 + 0*h**3 + 1/60*h**5 + 0*h + 1/24*h**4 + 0. Solve o(a) = 0.
-1, 0
Let x(u) = 16*u**3 - u**2 + 1. Let s be x(1). Suppose 2*o = 4 + s. Let 2*a**3 + 10 + 2*a - o - 4*a**2 = 0. What is a?
0, 1
Let k(i) be the first derivative of i**4/18 + i**3/9 - 2*i**2/3 - 5*i - 2. Let t(l) be the first derivative of k(l). Factor t(o).
2*(o - 1)*(o + 2)/3
Let s(h) = -h - 1. Let k(z) = -24*z**2 + 36*z + 10. Let d(u) = -2*k(u) - 28*s(u). Factor d(p).
4*(3*p - 2)*(4*p - 1)
Let o(s) be the second derivative of 0*s**2 - 1/9*s**3 + 2*s - 1/18*s**4 + 0. Let o(n) = 0. Calculate n.
-1, 0
Let w(y) = 18*y**3 + 7*y - 12*y**3 + 2*y**2 - 4*y**2 - 7*y**5 - 6 + 8*y**4. Let z(c) = c**5 - c**4 - c**3 - c + 1. Let a(s) = w(s) + 6*z(s). Factor a(m).
-m*(m - 1)**3*(m + 1)
Solve -8*a**2 - a**2 + 6*a**2 + 12 = 0 for a.
-2, 2
Let s(a) be the third derivative of 2*a**7/105 - 7*a**6/120 + a**5/30 + a**4/24 - a**2. Factor s(u).
u*(u - 1)**2*(4*u + 1)
Let t(q) = -5*q**2 + 2*q + 1. Let z(w) = w**2. Let b(p) = t(p) + 6*z(p). Factor b(c).
(c + 1)**2
Let n(x) be the first derivative of -x**4/3 - 4*x**3/9 + 2*x**2/3 + 4*x/3 + 49. Factor n(d).
-4*(d - 1)*(d + 1)**2/3
Let s(d) be the third derivative of -2*d**2 + 1/28*d**4 + 1/420*d**5 + 0*d + 3/14*d**3 + 0. Find a such that s(a) = 0.
-3
Let y(c) be the third derivative of c**7/315 - c**5/30 + c**4/18 + 17*c**2. Factor y(d).
2*d*(d - 1)**2*(d + 2)/3
Factor 15*o + 4*o**2 + 0*o**2 + 5*o - 22*o.
2*o*(2*o - 1)
Let z(f) be the third derivative of 0 + 0*f**3 + 1/720*f**6 + 0*f + 1/72*f**4 + 2*f**2 - 1/120*f**5. Factor z(t).
t*(t - 2)*(t - 1)/6
Let g be 90/(-20)*1/(-6). Let d(i) be the first derivative of 2 - 1/6*i**3 - i + g*i**2. Factor d(m).
-(m - 2)*(m - 1)/2
Factor 0 + 0*p - 1/5*p**2 + 1/5*p**3.
p**2*(p - 1)/5
Let v = -1/258 - -173/258. Factor v*m**2 + 8/3 + 8/3*m.
2*(m + 2)**2/3
Let p(l) be the second derivative of l**5/90 + l**4/18 + l**2 - 3*l. Let b(d) be the first derivative of p(d). Factor b(r).
2*r*(r + 2)/3
Factor 4*g**4 - 6*g + g**4 + g**2 + 6*g**3 - 3*g**4 + g**2 - 4.
2*(g - 1)*(g + 1)**2*(g + 2)
Let a = 2 + 1. Suppose -4*p + 6 = -2*p. Determine d so that 4*d**2 + d**a + 0*d - 2*d - 4*d**4 + d**p = 0.
-1, 0, 1/2, 1
Let d(q) = 46*q**3 + 54*q**2 - 60*q + 16. Let k(r) = -9*r**3 - 11*r**2 + 12*r - 3. Let s(t) = -3*d(t) - 16*k(t). Factor s(f).
2*f*(f + 3)*(3*f - 2)
Let f(s) be the second derivative of -3/20*s**5 - 1/6*s**4 + 0 + 0*s**6 + 1/42*s**7 + 4*s + 0*s**3 + 0*s**2. Factor f(h).
h**2*(h - 2)*(h + 1)**2
Let v(f) be the first derivative of -1 + 1/2*f**4 + 0*f + 0*f**2 - 1/3*f**3 - 1/5*f**5. Factor v(c).
-c**2*(c - 1)**2
Determine a, given that 0*a - 6*a + 10*a + 4*a**3 - 8*a**2 = 0.
0, 1
Suppose 2*l - 12 = -8. Suppose -8 = -3*y + y. Factor -w**4 - l*w**y + w**4.
-2*w**4
Let n = 9 + -3. Solve 3*d**2 + n - 7 - 2*d**2 = 0.
-1, 1
Factor 2*x - 1/3*x**2 - 3.
-(x - 3)**2/3
Let b(q) be the first derivative of q**3/12 - q - 38. Factor b(t).
(t - 2)*(t + 2)/4
Let h be (-56)/(-90) - 11/(330/12). Let a = -1/36 + 1/4. Factor -a*w**3 + 2/9*w**4 + 0*w + 0 - h*w**2 + 2/9*w**5.
2*w**2*(w - 1)*(w + 1)**2/9
Let a = 12 - 10. Let z(c) be the third derivative of 0*c + 0*c**3 - 1/72*c**4 + 1/180*c**5 - a*c**2 + 0. Factor z(s).
s*(s - 1)/3
Let c(t) be the second derivative of 4*t - 4*t**4 + 0 - 4*t**3 - 3/2*t**2. Suppose c(z) = 0. What is z?
-1/4
Let h(m) = -m**3 + 2*m**2 + m - 2. Let z(n) = n**3 - n**2 - n + 1. Let p = 15 + -9. Let y(r) = p*z(r) + 3*h(r). Factor y(f).
3*f*(f - 1)*(f + 1)
Factor -9/2*v**2 + 0 - 3/2*v.
-3*v*(3*v + 1)/2
Let n(y) be the first derivative of y**4/16 + y**3/6 - 3*y**2/8 - 43. Solve n(z) = 0.
-3, 0, 1
Let v(a) = -a + 3. Let s be v(1). Suppose 6 - 24*h**4 + h**s - 9*h + 21*h**4 - 4*h**2 + 9*h**3 = 0. What is h?
-1, 1, 2
Factor -d**3 + 4*d**4 - 4*d**4 + 6*d**2 + 10*d**3 + 3*d**4.
3*d**2*(d + 1)*(d + 2)
Find f, given that 10/7*f**2 + 12/7 - 34/7*f = 0.
2/5, 3
Suppose -13 + 3 = -2*f. Factor 4*t - 3*t - 3*t + 2*t**4 + t**f - 2*t**2 + t.
t*(t - 1)*(t + 1)**3
Let q(w) = w**3 - 5*w**2 - 7*w + 9. Let s be q(6). Suppose 0 = 5*z + h - 4, 0 = -4*h + 2*h + 8. Suppose -2/11*v - 2/11*v**s + z + 4/11*v**2 = 0. What is v?
0, 1
Let m(f) be the second derivative of f**7/7 + 4*f**6/15 + f**5/10 + 29*f. What is i in m(i) = 0?
-1, -1/3, 0
Let o(n) be the first derivative of -3*n**5/10 + 33. Factor o(b).
-3*b**4/2
Let v(h) be the first derivative of 2*h**3/15 - 2*h**2/5 + 3. Suppose v(u) = 0. What is u?
0, 2
Let k(t) be the third derivative of -t**8/672 + t**7/60 - 19*t**6/240 + 5*t**5/24 - t**4/3 + t**3/3 + 18*t**2. Factor k(m).
-(m - 2)**2*(m - 1)**3/2
Suppose 0 = -0*c + 5*c + 2*g, -3*c + 5*g = -31. Suppose -2/7*b**c + 4/7*b - 2/7 = 0. What is b?
1
Factor -12/5*w**2 + 54/5 + 9/5*w - 3/5*w**3.
-3*(w - 2)*(w + 3)**2/5
Let y = -5 - -9. Suppose -2*r + 4 + 0 = -2*s, 0 = -y*s - 5*r + 37. Determine l, given that -6*l**s + 3*l**3 - l - 2*l**2 - l**4 - l**2 = 0.
-1, 0
Suppose 0 = 3*c + 4*v + 10, -2*c + 0*v = v. Let h be ((-12)/(-8))/(5*1/10). Factor 4/5 - 4/5*n**2 + c*n**h - 2*n.
2*(n - 1)*(n + 1)*(5*n - 2)/5
Let i(s) be the first derivative of -2*s**5/5 + s**4/4 + 11*s**3/3 + 11*s**2/2 + 3*s - 5. Suppose i(d) = 0. Calculate d.
-1, -1/2, 3
Suppose l + 40 = 11*l. Factor -4/9*t**l + 0*t**2 + 0*t + 0 + 2/9*t**5 + 2/9*t**3.
2*t**3*(t - 1)**2/9
Let r be (-5)/(-15)*(2 + 10). Suppose -r*u - 3*x + 2 = -4*x, 2*u + 4*x = -8. Determine z, given that 0*z**3 - 1/4*z**4 + 0*z + u + 1/4*z**2 = 0.
-1, 0, 1
Let j(k) be the first derivative of -8*k**5/15 + 2*k**4/3 - k**3/3 - k**2 - 2. Let x(w) be the second derivative of j(w). Let x(g) = 0. Calculate g.
1/4
Let a(v) be the first derivative of v**6/6 + 4*v**5/5 + v**4 - 2*v**3/3 - 5*v**2/2 - 2*v - 6. Solve a(g) = 0.
-2, -1, 1
Let h(p) be the second derivative of p**5/70 - 5*p**4/42 + p**3/7 + 9*p**2/7 + 9*p. Factor h(z).
2*(z - 3)**2*(z + 1)/7
Let u be (6/4)/(4/8). Find a, given that -2*a**3 - 2*a**4 + u*a**4 + a**2 + 0*a**4 = 0.
0, 1
Factor 0*o - 4/3*o**4 - 4/3*o**2 - 10/3*o**3 + 0.
-2*o**2*(o + 2)*(2*o + 1)/3
Let -3*h**4 - 5*h**4 + 11*h**2 + 9*h**2 + 3*h**4 = 0. What is h?
-2, 0, 2
Let b(d) be the first derivative of -2*d**3/27 - 16. Let b(k) = 0. What is k?
0
Suppose 8/13*p - 6/13*p**4 + 0 + 22/13*p**3 - 24/13*p**2 = 0. Calculate p.
0, 2/3, 1, 2
Let s(k) be the third derivative of 0 + 1/6*k**5 + k**2 + 0*k - 1/3*k**4 - 4/3*k**3 + 1/20*k**6. Let s(t) = 0. What is t?
-2, -2/3, 1
Let m(a) be the first derivative of 1/6*a**2 + 2/9*a**3 - 1/4*a**4 - 2 + 0*a. Determine s, given that m(s) = 0.
-1/3, 0, 1
Factor -3*g + 3*g**2 - 12*g - 10*g + 2*g**2.
5*g*(g - 5)
Suppose -2*o - o = 5*d + 1816, -8 = -2*d. Let x = -4276/7 - o. Suppose -x - 34/7*t**3 + 22*t**4 + 14*t**5 - 146/7*t**2 - 64/7*t = 0. Calculate t.
-1, -2/7, 1
Let j be 2 + (0/(-2) - 0). Factor -2*l**2 + 2*l**j - l**3 - l**4.
-l**3*(l + 1)
Let a(b) be the second derivative of 8*b**2 - 7*b + 19*b**3 - 11*b**3 - b**5 + 2*b**4 - b**4. Solve a(j) = 0 for j.
-1, -2/5, 2
Let w(i) be the second derivative of -i**8/23520 + i**6/2520 + i**4/12 - 2*i. Let y(r) be the third derivative of w(r). Factor y(c).
-2*c*(c - 1)*(c + 1)/7
Let o(h) = h**2. Let p = 17 + -16. Suppose -3*r + 2 = -7. Let s(v) = -5*v**2 - 8*v - 8. Let x(j) = p*s(j) + r*o(j). Factor x(d).
-2*(d + 2)**2
Let c(r) be the second derivative of 0*r**2 - 3*r - 1/12*r**3 + 1/24*r**4 + 0. Suppose c(o) = 0. Calculate o.
0, 1
Suppose 3*t - 3*w - 12 = 0, -4*t + 6*w + 11 = 7*w. Find p, given that 4/5*p**t + 2/5 - 6/5*p**4 + 4/5*p**2 + 2/5*p**5 - 6/5*p = 0.
-1, 1
Let y(j) = -6*j - 18. Let q be y(-3). Factor 2/3*v**3 + 0*v + 2/3*v**5 + 0*v**2 + q + 4/3*v**4.
2*v**3*(v + 1)**2/3
Let x(j) be the first derivative of j**5/5 - 2*j**3/3 + j - 6. Factor x(o).
(o - 1)**2*(o + 1)**2
Factor 9/4*y**3 + 3/4*y**4 + 9/4*y**2 + 0 + 3/4*y.
3*y*(y + 1)**3/4
Let p(b) be the first derivative of 1/60*b**6 + 1/3*b**3 + 1/4*b**4 + 1 + 1/10*b**5 + 0*b + b**2. Let n(l) be the second derivative of p(l). Factor n(f).
2*(f + 1)**3
Suppose 3*q + 2*o - 100 = -q, -o + 24 = q. Suppose -