(u) + 4*y(u). Factor w(b).
-(b - 1)*(b + 1)
Let f be (-1)/(((-20)/8)/5). Suppose -5*v + 1 = f*o + 8, 0 = -4*o - 5*v + 1. Determine n so that -1/5*n**3 - n**o + 0*n + 1/5*n**2 - 3/5*n**5 + 0 = 0.
-1, 0, 1/3
Factor 10*q**2 - 12*q**2 - q**5 + 2*q**5 - 5*q**3 + 2*q**3.
q**2*(q - 2)*(q + 1)**2
Let j(n) = -n - 5. Let c be j(-7). Factor 6 - 12*f**4 + 0*f**2 - 3*f**5 + 6*f**c - 7*f**3 + 15*f - 5*f**3.
-3*(f - 1)*(f + 1)**3*(f + 2)
Let t(r) be the first derivative of r**6/720 - r**5/240 + r**3/3 + 3. Let x(a) be the third derivative of t(a). Factor x(m).
m*(m - 1)/2
Factor 1/2 + 1/4*b**2 - 3/4*b.
(b - 2)*(b - 1)/4
Let t(b) be the second derivative of 2*b + 0 + 0*b**2 + 1/50*b**5 - 1/30*b**4 + 0*b**3. Factor t(q).
2*q**2*(q - 1)/5
Let c(z) be the third derivative of z**7/840 - z**6/120 + z**4/6 - 2*z**3/3 + 7*z**2. Determine j, given that c(j) = 0.
-2, 2
Suppose -3*n + 56 = 11. Let a be (-18)/n - (-8 + 5). Factor 6/5*d + 0 + a*d**2.
3*d*(3*d + 2)/5
Suppose t - 2 - 2 = 0. Let k(s) be the second derivative of -s**2 + 2*s + 0 + 1/2*s**3 - 1/12*s**t. Factor k(y).
-(y - 2)*(y - 1)
Let g(d) = 11*d + 44. Let o be g(-4). Let 2/5*x**5 + 6/5*x**4 + 2/5*x**2 + 0*x + 6/5*x**3 + o = 0. Calculate x.
-1, 0
Find i such that 0 + 4/11*i - 3/11*i**3 + 0*i**2 - 1/11*i**4 = 0.
-2, 0, 1
Let f be (-70)/(-4) - 5/(-10). Let j be (-12)/9*f/(-12). Suppose 0 + 1/2*m - m**j + 1/2*m**3 = 0. Calculate m.
0, 1
Let m(o) = o**2 - o - 1. Let d(v) = 6*v + 4. Let f(i) = d(i) + 2*m(i). Factor f(g).
2*(g + 1)**2
Let c(p) be the third derivative of p**6/1440 + p**5/480 - p**4/48 - p**3/2 - 4*p**2. Let v(x) be the first derivative of c(x). Determine o so that v(o) = 0.
-2, 1
Suppose 0 = 2*m + 3*m + 25. Let p(k) = -7*k**2 - k + 5. Let x(d) = -10*d**2 - d + 7. Let o(h) = m*x(h) + 7*p(h). Factor o(f).
f*(f - 2)
Let t(z) be the third derivative of 1/24*z**4 + 1/30*z**5 - 1/336*z**8 + 0 + 0*z + 0*z**3 + 3*z**2 - 1/105*z**7 + 0*z**6. Find u such that t(u) = 0.
-1, 0, 1
Factor 5*d**2 - 27*d + 23*d - 5*d**2 + 4*d**2.
4*d*(d - 1)
Let l(q) be the second derivative of q**5/12 - 5*q**4/2 + 30*q**3 - 180*q**2 - 5*q. Determine v, given that l(v) = 0.
6
Let w(f) be the first derivative of 7/5*f**5 - 2 + 0*f - f**2 + 11/3*f**3 - 4*f**4. Factor w(a).
a*(a - 1)**2*(7*a - 2)
Let r(o) be the third derivative of -2*o**2 - 7/24*o**8 - 2/3*o**7 + 0*o**3 + 0*o - 1/3*o**4 + 0 + 1/20*o**6 + 2/3*o**5. Solve r(i) = 0.
-1, 0, 2/7
Let y(o) = -o**3 + 7*o**2 + 4. Let d be y(7). Let g = -30 + 33. Determine t, given that -3/2*t**g + 0 + 3/2*t**2 - 1/2*t + 1/2*t**d = 0.
0, 1
Let y(f) be the third derivative of f**6/780 - f**4/156 + f**2. Factor y(j).
2*j*(j - 1)*(j + 1)/13
Suppose 4*x + 12 = 8*x, -d = -x + 1. Let r(u) be the first derivative of u**d - 4/3*u**3 + 0*u - 3 - 1/10*u**5 + 5/8*u**4. Factor r(n).
-n*(n - 2)**2*(n - 1)/2
Let i(n) be the first derivative of n**3/3 + n**2/2 + 6. Find s, given that i(s) = 0.
-1, 0
Let i(o) be the third derivative of 0*o**3 + 1/60*o**6 - 3*o**2 + 1/105*o**7 - 1/30*o**5 + 0*o - 1/12*o**4 + 0. Find q, given that i(q) = 0.
-1, 0, 1
Let y(z) be the second derivative of -z**4/6 + 4*z**3 - 36*z**2 + 10*z. Solve y(m) = 0 for m.
6
Let t(z) = -z**2. Let l(r) = 36*r - 108. Let y(g) = -l(g) - 3*t(g). Find c such that y(c) = 0.
6
Let b = -6 + 13. Let w = 9 - b. Factor n + 0*n**w - 1/3*n**3 - 2/3.
-(n - 1)**2*(n + 2)/3
Let n be 3 - (21/(-6))/7. Factor -1 - 23/2*s**3 - 13/2*s - n*s**4 - 27/2*s**2.
-(s + 1)**3*(7*s + 2)/2
Let r(l) be the third derivative of -l**6/200 + l**4/40 - l**2. Determine i so that r(i) = 0.
-1, 0, 1
Let r(q) = -q - 5. Let s be r(-6). Let i(d) be the first derivative of 0*d**3 - 4/5*d**5 + s + 0*d + 0*d**2 - 1/3*d**6 - 1/2*d**4. Factor i(k).
-2*k**3*(k + 1)**2
Let j(f) be the first derivative of -2*f**2 - 2 - 1/12*f**4 - 2/3*f**3 + 3*f. Let k(a) be the first derivative of j(a). Let k(h) = 0. What is h?
-2
Let r = 32 - 16. Let i = r - 8. Factor o**2 - i - 2*o**2 - 9*o**2 - 24*o + 0*o**2.
-2*(o + 2)*(5*o + 2)
Suppose -13 = 10*t - 73. Let j(v) be the second derivative of 0*v**2 - 1/30*v**t + 0 - 2*v - 1/6*v**3 - 1/4*v**4 - 3/20*v**5. Factor j(w).
-w*(w + 1)**3
Let n(p) = -24*p**3 + 10*p**2 + 17*p - 3. Let o(k) = -13*k**3 + 5*k**2 + 9*k - 1. Let a(s) = -4*n(s) + 7*o(s). Factor a(q).
5*(q - 1)**2*(q + 1)
Let l(z) be the first derivative of -1/2*z + 7/8*z**2 + 6 - 1/4*z**3. Suppose l(q) = 0. What is q?
1/3, 2
Let v be ((-186)/42 - -5)/(6/7). Suppose 16/3 + v*y**4 + 12*y**2 - 40/3*y - 14/3*y**3 = 0. What is y?
1, 2
Let w(o) be the third derivative of 0*o + 2/105*o**7 + 0*o**3 + 0 + 1/10*o**6 + 1/5*o**5 - 7*o**2 + 1/6*o**4. Suppose w(r) = 0. Calculate r.
-1, 0
Let y = 16 + -14. What is w in -8/5*w - 8/5 - 2/5*w**y = 0?
-2
Suppose -3*c = -0*h - 2*h + 7, 3*c = 4*h - 11. Let s(z) = -z**2. Let g be s(0). Solve 2/7*q**4 - 2/7*q**h + 2/7*q**3 + g - 2/7*q = 0.
-1, 0, 1
Factor 12/5 - 42*t**3 + 12*t - 9/5*t**2 + 147/5*t**4.
3*(t - 1)**2*(7*t + 2)**2/5
Factor 0 + 1/4*d**4 + 0*d - d**3 + 3/4*d**2.
d**2*(d - 3)*(d - 1)/4
Let j = 3 - -1. Determine a, given that 0*a + 0*a + 3*a**2 - j*a + 7*a = 0.
-1, 0
Factor -10/11*a**2 - 2/11*a**3 + 18/11 - 6/11*a.
-2*(a - 1)*(a + 3)**2/11
Let h = 46/9 + -22/9. Find d such that h*d**3 + 2*d**4 + 0*d + 8/9*d**2 + 0 = 0.
-2/3, 0
Let p = 790/7 + -112. Factor -p*z - 3/7*z**2 - 3/7.
-3*(z + 1)**2/7
Let n = 16 - 16. Suppose n - 1/2*b - 1/2*b**2 = 0. What is b?
-1, 0
Let w(z) = 3*z**2 + 17*z. Let m(l) = -l**2 + l. Let q(j) = -m(j) + w(j). Let q(t) = 0. What is t?
-4, 0
Let x(i) be the first derivative of 0*i**3 + 3 + 0*i - 2/25*i**5 + 0*i**2 - 1/10*i**4. Find t, given that x(t) = 0.
-1, 0
Determine h, given that 0 + 9/4*h**3 + 9/4*h**2 + 3/4*h + 3/4*h**4 = 0.
-1, 0
Let l be 10 - (8*-1)/(-4). Factor -7 - 3*s**2 - l*s + 0 + 1 - s.
-3*(s + 1)*(s + 2)
Suppose 0 = -4*o + 5*o. Let n(v) be the third derivative of 1/36*v**4 + 1/180*v**5 - v**2 + 0*v**3 + 0*v + o. Factor n(m).
m*(m + 2)/3
Let t(l) be the third derivative of 0 + 1/270*l**5 + 1/945*l**7 + 0*l + 3*l**2 - 2/27*l**3 + 1/36*l**4 - 1/180*l**6. Find d, given that t(d) = 0.
-1, 1, 2
Let x(w) be the first derivative of w**3/9 - 13*w**2/3 + 169*w/3 + 31. Factor x(l).
(l - 13)**2/3
Suppose -5*n + 3*w = 6, -4*n + 5*w + 1 = 11. Factor -1/5*y**2 + 1/5 + n*y.
-(y - 1)*(y + 1)/5
Let p(x) be the first derivative of -x**6/42 - x**5/35 + 3*x**4/28 + 5*x**3/21 + x**2/7 - 3. Factor p(f).
-f*(f - 2)*(f + 1)**3/7
Suppose 5*n - i - 14 = 1, -3*n + 3*i + 21 = 0. Let c(a) be the first derivative of -2/5*a**2 - 1/5*a**3 - n - 1/5*a. Factor c(d).
-(d + 1)*(3*d + 1)/5
Suppose 4*n - 11 = 1. Suppose -2*u**5 + 2*u**n + 2*u**5 - 2*u**5 = 0. Calculate u.
-1, 0, 1
Find h, given that -2*h**4 - 133*h**2 + 2*h**5 + 133*h**2 = 0.
0, 1
Suppose -2*j + 2 = -0. Let b(k) = k**4 + k**2 + k + 1. Let s(c) = -c**4 - 2*c**3 - 2*c**2 - 2*c - 2. Let d(h) = j*s(h) + 2*b(h). Factor d(w).
w**3*(w - 2)
Let g(c) = -24 + 22*c - 20*c + 9*c**2 + 24*c + 13*c. Let d(j) = -2*j**2 - 8*j + 5. Let s(w) = -24*d(w) - 5*g(w). Suppose s(f) = 0. Calculate f.
0, 1
Let r(o) = 2*o**2 - o + 1. Let b be r(2). Let i = b + -5. Factor 3*c**2 - c**i + 2*c**2 + 6*c**3 + 0*c**4 + 2*c**4.
2*c**2*(c + 1)*(c + 2)
Let j = -5 + 12. Let p(s) = -6*s - 3 - 3*s**2 - 2 + 1. Let i(r) = -5*r**2 - 11*r - 7. Let y(x) = j*p(x) - 4*i(x). Factor y(a).
-a*(a - 2)
Let c(z) be the second derivative of -z**5/4 + 5*z**4/4 + 5*z**3/6 - 15*z**2/2 + 7*z. Factor c(h).
-5*(h - 3)*(h - 1)*(h + 1)
Factor 14/5*v**3 - 8/5*v + 24/5*v**2 + 0.
2*v*(v + 2)*(7*v - 2)/5
Let i = 693 + -693. Factor 8/7*a**4 + 2/7*a**5 + 0*a + i + 4/7*a**2 + 10/7*a**3.
2*a**2*(a + 1)**2*(a + 2)/7
Let f(p) be the third derivative of 0*p**3 + 1/105*p**7 - 6*p**2 + 0 + 1/15*p**6 + 0*p + 1/6*p**4 + 1/6*p**5. Factor f(i).
2*i*(i + 1)**2*(i + 2)
Let j(b) be the third derivative of 1/72*b**4 + 5*b**2 + 0*b**3 - 1/360*b**6 - 1/630*b**7 + 0*b + 1/180*b**5 + 0. Factor j(c).
-c*(c - 1)*(c + 1)**2/3
Suppose -2*h + 3*g + 10 = 0, -5*g - 12 = -4*h - 3*g. Factor 5*f**3 + 3*f**4 + 34*f + f**h - f**3 - 34*f.
f**2*(f + 1)*(3*f + 1)
Let s be 14/10 - (-224)/140. Factor -2/11*f**s - 4/11*f**2 + 0 - 2/11*f.
-2*f*(f + 1)**2/11
Let j(v) be the first derivative of 8 - 3*v**5 - 1/2*v**6 - 27/4*v**4 + 0*v - 7*v**3 - 3*v**2. Factor j(y).
-3*y*(y + 1)**3*(y + 2)
Let r be (-24)/