 Let d(k) = 6*k**4 - 35*k**3 + 24*k**2 - 11*k + 11. Let h(i) = 6*d(i) - 11*n(i). Factor h(v).
3*v**2*(v - 2)**2
Suppose 1 - 9*o**2 + 8*o**2 - 6*o + 1 - 7*o**2 = 0. Calculate o.
-1, 1/4
Let v(r) = -r**3 - 1. Let i(q) = -18*q - 4*q**2 - 6*q**3 - 25*q**2 + 5*q**2. Let n(z) = i(z) + 4*v(z). Suppose n(b) = 0. Calculate b.
-1, -2/5
Let v(y) be the third derivative of 0*y + 0*y**3 - 1/945*y**7 - 2*y**2 + 1/108*y**4 + 1/180*y**6 - 1/90*y**5 + 0. Find w, given that v(w) = 0.
0, 1
Let z be -12 + 16 + -7 + (-13)/(-4). Let v(a) be the first derivative of 7/12*a**3 + 5/16*a**4 + 0*a + 2 + z*a**2. Factor v(x).
x*(x + 1)*(5*x + 2)/4
Let m(i) = 3*i - 12. Let t be m(4). Let u(o) be the second derivative of -2*o + t + 0*o**2 - 1/4*o**4 - 1/3*o**3. Solve u(x) = 0.
-2/3, 0
Let v(g) be the third derivative of -g**5/30 + g**4/6 + g**3 + 11*g**2. Suppose v(a) = 0. Calculate a.
-1, 3
Let q = -7 + 9. Suppose -3*n**3 + 2 + n**3 - q*n**2 + 4*n - 2*n = 0. Calculate n.
-1, 1
Suppose -a = 4*a - 30. Suppose 0 = -x - 2*k + a, -x - 2*k = -2*x + 2. Factor 3*d**3 - 6*d**3 + 0*d**4 + 4*d**3 - d**x.
-d**3*(d - 1)
Let -12*z**3 - 7*z**4 - 64*z**2 + 3*z**5 + z**4 + 88*z**2 = 0. What is z?
-2, 0, 2
Suppose 10 = 2*n - 0*n - i, -n - 2 = 3*i. Let -1/3*g**2 + 0*g - 1/3*g**n + 0 + 2/3*g**3 = 0. What is g?
0, 1
Let -1/4*w**2 + 0 - 1/4*w + 1/4*w**3 + 1/4*w**4 = 0. Calculate w.
-1, 0, 1
Let l(t) be the third derivative of -5*t**8/336 - t**7/30 + t**6/15 + t**5/15 - 3*t**2. Suppose l(c) = 0. What is c?
-2, -2/5, 0, 1
Suppose -8 = -3*h + h. Factor 4*p**2 - 3*p + p + 4*p - 2*p**3 - h*p.
-2*p*(p - 1)**2
Let z = 8 - 3. Suppose -z = -3*k + 7. Determine i, given that 0 - i**3 + i**2 - 1/3*i + 1/3*i**k = 0.
0, 1
Let -1 + 6 - 9 - 4*s**2 - 8*s = 0. What is s?
-1
Let x(y) = 5*y**2 - 4*y + 2. Let m(l) = 11*l**2 - 7*l + 5. Let t(q) = -2*m(q) + 5*x(q). Factor t(r).
3*r*(r - 2)
Suppose 5*q - 3*t = 3*q + 13, 7 = -q - 3*t. Let -12*z - 3*z**2 + 9 - z**q + 7*z**2 = 0. Calculate z.
1, 3
Let 0 - 2/7*b**3 + 6/7*b**2 - 4/7*b = 0. What is b?
0, 1, 2
Let l(j) be the first derivative of -6*j**5/5 + 7*j**4/2 - 10*j**3/3 + j**2 - 18. Factor l(d).
-2*d*(d - 1)**2*(3*d - 1)
Let m(x) be the second derivative of -x**7/1890 + x**6/720 + x**5/360 - x**4/3 - x. Let j(k) be the third derivative of m(k). Factor j(a).
-(a - 1)*(4*a + 1)/3
Let n(o) = 2*o + 10. Let v be n(-7). Let m = v - -6. Determine z, given that z**5 + m*z**5 + z**4 - 4*z**5 = 0.
0, 1
Let l(a) be the second derivative of a**4/18 + a**3/3 + 2*a**2/3 - 8*a. Solve l(c) = 0.
-2, -1
Let d(h) be the third derivative of h**5/20 + 3*h**4/4 + 4*h**3 + 2*h**2 + 37. Find g, given that d(g) = 0.
-4, -2
Let r(g) be the first derivative of -4/5*g**5 + 2*g**4 - 4/3*g**3 - 1 + 0*g + 0*g**2. Factor r(h).
-4*h**2*(h - 1)**2
Let g(w) = 2*w**5 + 5*w**4 + 15*w**3 + 25*w**2 + 15*w + 7. Let h = 4 + -9. Let q(b) = b**4 + b**3 - b**2 - b - 1. Let r(a) = h*q(a) - g(a). Factor r(v).
-2*(v + 1)**5
Suppose 0 = -d + o + 3, 2*o + o + 9 = -4*d. Let p be d - 1/(-2)*1. Factor -1/2*t**2 + 0 - p*t.
-t*(t + 1)/2
Factor 2*p**5 - 4*p**2 + 2859*p**4 - 2853*p**4 - 3 - 6*p + 1 + 4*p**3.
2*(p - 1)*(p + 1)**4
Factor -34*u**2 + 40*u**2 + 0*u + 9*u**3 + 0*u + 3*u**4.
3*u**2*(u + 1)*(u + 2)
Let n = 311 + -4661/15. Let k(l) be the second derivative of -1/3*l**3 - 3/5*l**5 + 0*l**2 - 1/21*l**7 - 2/3*l**4 - n*l**6 + 0 - 2*l. Factor k(i).
-2*i*(i + 1)**4
Factor 0 + 3/4*k**4 - 3/4*k + 3/4*k**3 - 3/4*k**2.
3*k*(k - 1)*(k + 1)**2/4
Let n(k) be the first derivative of -k**4/4 + k**3/3 - 8. Solve n(g) = 0.
0, 1
Let c(f) = -f + 1. Let n(d) be the first derivative of d**6/6 + 2*d**5/5 + d**4/4 - d**2 + 2*d + 1. Let t(w) = 6*c(w) - 3*n(w). Factor t(p).
-3*p**3*(p + 1)**2
Let d = 2 - 10/7. Factor 2/7*s + d - 6/7*s**2.
-2*(s - 1)*(3*s + 2)/7
Let c be (2 - 3)/(6/(-1131)). Let s = c - 180. Factor 1 + s*g + 8*g**3 + 20*g**2.
(g + 2)*(4*g + 1)**2/2
Let 8/5 - 8/5*h**2 - 4/5*h + 4/5*h**3 = 0. What is h?
-1, 1, 2
Let m(j) be the second derivative of -j**7/945 - j**6/135 - j**5/45 - j**4/27 - j**3/27 - 3*j**2 + 7*j. Let t(k) be the first derivative of m(k). Factor t(l).
-2*(l + 1)**4/9
Factor 0*a**3 + 16/11*a + 54/11*a**4 - 36/11*a**2 - 2/11.
2*(a + 1)*(3*a - 1)**3/11
Let b(m) be the second derivative of -1/120*m**5 + 4*m + 0*m**3 + 0 + 0*m**4 + m**2. Let w(q) be the first derivative of b(q). Determine o so that w(o) = 0.
0
Let b(q) = q - 2. Let g be b(4). Factor 3*u**4 + 3*u**5 - 3*u**2 - 3*u**3 + 4*u**g - 4*u**2.
3*u**2*(u - 1)*(u + 1)**2
Let x be ((-6)/(-4))/((18/8)/3). Determine m, given that 5/4*m + 2*m**x + m**3 + 1/4 = 0.
-1, -1/2
Let u(p) be the first derivative of -p**6/90 + p**5/15 - 2*p**3 + 6. Let v(d) be the third derivative of u(d). Let v(x) = 0. Calculate x.
0, 2
Let u(i) be the third derivative of 1/20*i**5 - 1/24*i**4 + 0 - 1/2*i**3 + 4*i**2 + 0*i + 1/120*i**6. Factor u(w).
(w - 1)*(w + 1)*(w + 3)
Let z be (-1)/(((-6)/2)/21). Solve z*f + 0*f**3 - f - 3*f - 3*f**3 = 0.
-1, 0, 1
Let m(r) be the third derivative of r**6/480 + r**5/120 + r**4/96 - 4*r**2. Suppose m(n) = 0. What is n?
-1, 0
Let u(r) be the third derivative of r**6/180 - r**4/12 - 2*r**3/9 - 29*r**2. Factor u(c).
2*(c - 2)*(c + 1)**2/3
Factor 0*o + 0 + 0*o**2 - 2/7*o**4 - 4/7*o**3.
-2*o**3*(o + 2)/7
Let l = -142 + 147. Find y such that -2/3*y**l + 0*y + 2/3*y**3 + 0 + 2/3*y**2 - 2/3*y**4 = 0.
-1, 0, 1
Let u = 4 + -2. Determine a so that 2*a**2 - 2*a + 2*a + a**u + 2*a + a**3 = 0.
-2, -1, 0
Find k, given that 2/7*k**2 + 4/7*k + 2/7 = 0.
-1
Factor 2*n**2 + 6*n - n + 2*n**3 - n**3 - 4*n.
n*(n + 1)**2
Suppose 17 = -3*d - 5*b, d - 2*b = 6*d + 41. Let r = d - -11. Factor 0*t + 1/3*t**r + 0 - 1/3*t**5 - 1/3*t**4 + 1/3*t**3.
-t**2*(t - 1)*(t + 1)**2/3
Let v(s) = 3*s**2 + 3. Let q(x) = -x**3 + 4*x**2 - x + 1. Let l be q(4). Let t(y) = y**3 - 7*y**2 - 7. Let b(j) = l*t(j) - 7*v(j). Factor b(r).
-3*r**3
Let h be (-2 + 2/(-4))*-2. Suppose -h*p - 5*z + 15 = 0, -p + 5 = 5*z - 2. Suppose -5*d**2 + p*d**2 - 2*d - d**4 + d - 3*d**3 = 0. What is d?
-1, 0
Find y, given that -18/7*y + 2/7*y**2 + 4 = 0.
2, 7
Determine i so that 0*i**3 + 16/5*i + 6/5 - 2/5*i**4 + 12/5*i**2 = 0.
-1, 3
Let q = -40 + 42. Let 2/5*u**q - 4/5*u + 6*u**3 + 0 = 0. Calculate u.
-2/5, 0, 1/3
Suppose 2*f**5 - 26*f - 70*f**3 + 80*f**2 + 30*f**4 + 10 - 2*f**5 - 5*f**5 - 19*f = 0. Calculate f.
1, 2
Let c = -8 - 4. Let i(j) = 15*j**3 - 18*j**2. Let g(x) = x**3 - x**2. Let r(y) = c*g(y) + i(y). Suppose r(q) = 0. What is q?
0, 2
Let f(w) be the first derivative of w**6/42 - 2*w**5/35 + 2*w**3/21 - w**2/14 - 6. Factor f(d).
d*(d - 1)**3*(d + 1)/7
Let r(z) = -60*z**2 + 75*z - 15. Let g(d) = -12*d**2 + 15*d - 3. Let w(u) = -11*g(u) + 2*r(u). Suppose w(k) = 0. Calculate k.
1/4, 1
Suppose -40 + 24 = -8*f. Find w such that 3/4*w + 3/4*w**f + 0 = 0.
-1, 0
Determine r, given that -7/3*r**3 - 1/2*r**4 + 1/3*r**2 + 5/6*r + 1/6 + 3/2*r**5 = 0.
-1, -1/3, 1
Let q(t) be the third derivative of t**5/240 - t**3/24 + 13*t**2. Factor q(a).
(a - 1)*(a + 1)/4
Factor 0*n + 2 - 1/2*n**2.
-(n - 2)*(n + 2)/2
Let g(q) = q**3 - 4*q**2 + 3*q + 4. Let i be g(3). Let w(v) = -v**2 + 5*v - 2. Let s be w(i). Solve -4*k**s + 1 + 1 + 0*k**4 + 2*k**4 = 0.
-1, 1
Let m(p) be the first derivative of 2*p**5/35 - 3*p**4/14 + 4*p**3/21 + 6. Factor m(a).
2*a**2*(a - 2)*(a - 1)/7
Let v(a) be the third derivative of a**5/40 + a**4/16 - 2*a**2 - 6. Solve v(z) = 0 for z.
-1, 0
Let s(y) be the third derivative of 0*y**3 - 1/180*y**5 + 0*y + 0 - 1/240*y**6 - 2*y**2 - 1/1260*y**7 + 0*y**4. Let s(b) = 0. What is b?
-2, -1, 0
Let g = 1012214/13089 + 2/13089. Let w = 78 - g. Determine y, given that 4/3*y**2 + 0 - 2/3*y - w*y**3 = 0.
0, 1
Let o(v) = v - 1. Let d be o(3). Let -2*n**4 - 4*n + 2 + 0*n**2 - 3*n**2 + 3*n**d + 4*n**3 = 0. Calculate n.
-1, 1
Let a(z) be the third derivative of z**6/240 - z**5/60 + z**4/48 + 9*z**2. Factor a(r).
r*(r - 1)**2/2
Let h(q) be the second derivative of q**6/10 - 3*q**5/10 - q**4/4 + q**3 + 8*q. Find j, given that h(j) = 0.
-1, 0, 1, 2
Let m = 47/92 + -6/23. Determine s, given that -1/4 + 1/2*s**2 + m*s = 0.
-1, 1/2
Determine w so that -6*w**2 + 2*w**5 + w**5 - 9 - 10*w + 15*w**4 + 18*w**3 - 11*w = 0.
-3, -1, 1
Let c be (96/40 + -2)/((-24)/(-20)). Factor 1/6*l**2 + c - 1/2*l.
(l - 2)*(l - 1)/6
Let h(u) = u + 1. Let d