 + 8. Let z be (10 - 4)*(2 + -3). Let f be w(z). Factor -2*v**4 + 4*v**5 + 3*v**4 - 5*v**5 + f*v**5.
v**4*(v + 1)
Let u(a) = 4*a - 94. Let q be u(24). Factor 2/3 + 1/3*z**q - z.
(z - 2)*(z - 1)/3
Suppose c = 8 + 4. Suppose c = -0*q + 2*q. Suppose 0 + 4 + 4*l - 2*l**2 - q = 0. Calculate l.
1
Let n(h) = -h**3 - 11*h**2 + 13*h + 14. Let c be n(-12). Find l such that 1/5 - 2/5*l - 3/5*l**c = 0.
-1, 1/3
Let z(o) be the third derivative of 5*o**8/336 - o**7/42 - o**6/24 + o**5/12 - o**2 + 4*o. Solve z(j) = 0 for j.
-1, 0, 1
Let k(b) be the first derivative of -1/48*b**4 + 1/2*b**2 + 0*b - 1/240*b**6 - 1/60*b**5 - 1 + 0*b**3. Let j(g) be the second derivative of k(g). Factor j(y).
-y*(y + 1)**2/2
Let n = 16 + -14. Factor 0*p - 1/4*p**4 - 1/4 + 1/2*p**n + 0*p**3.
-(p - 1)**2*(p + 1)**2/4
Let f(r) be the second derivative of -r**9/15120 + r**8/2240 - r**6/180 + r**4/12 - 9*r. Let n(g) be the third derivative of f(g). Solve n(k) = 0 for k.
-1, 0, 2
Let k(x) = x**2 + x - 2. Let s be k(-3). Factor -2*w**5 + 24*w - 7*w**4 - 4*w**3 + 16 - 18*w**3 - 4*w**4 - w**4 - s*w**2.
-2*(w - 1)*(w + 1)*(w + 2)**3
Factor 0 - 1/2*c**2 + 7/4*c**3 + 0*c.
c**2*(7*c - 2)/4
Let n(k) be the second derivative of 0 - 1/18*k**3 + 5*k - 1/60*k**5 - 1/18*k**4 + 0*k**2. Suppose n(q) = 0. What is q?
-1, 0
Suppose 4*w - 44 = 2*f, 3*w = 2*w + 1. Let y be (-76)/f + 2/10. Factor 2*l**4 - 4*l**y - l**3 + 3*l**3.
-2*l**3*(l - 1)
Let u(j) be the second derivative of -j**6/180 + j**4/12 + j**3/2 + 3*j. Let d(x) be the second derivative of u(x). Factor d(i).
-2*(i - 1)*(i + 1)
Let o(u) = -u**4 - u**3 - u**2 + 1. Let s(l) = 4*l**4 + l**3 - 2*l**2 - 1. Let j(f) = -o(f) - s(f). Factor j(v).
-3*v**2*(v - 1)*(v + 1)
Find y, given that 4/7*y**2 - 4/7 + 6/7*y = 0.
-2, 1/2
Solve -6*b - 141/2*b**3 - 9*b**5 - 39*b**2 - 177/4*b**4 + 0 = 0.
-2, -2/3, -1/4, 0
Determine k, given that 2/7*k**5 - 6/7*k**2 + 2/7*k**3 - 4/7*k + 6/7*k**4 + 0 = 0.
-2, -1, 0, 1
Let v be (3/21)/(4/14). Determine c so that 0 + v*c + 7/4*c**2 = 0.
-2/7, 0
Let c(u) be the third derivative of -3*u**2 - 1/90*u**5 + 0*u + 1/18*u**4 + 0*u**3 + 0. Find y, given that c(y) = 0.
0, 2
Let d(g) be the second derivative of 0 + 0*g**4 - 1/90*g**6 - 5*g + 1/30*g**5 + 1/6*g**2 - 1/9*g**3. Determine q so that d(q) = 0.
-1, 1
Let -f + 0*f + 5*f**3 - 3*f**3 - f**5 = 0. Calculate f.
-1, 0, 1
Factor 1/2 + 2*v**3 + v - 7/2*v**2.
(v - 1)**2*(4*v + 1)/2
Suppose -4*f + 40 = -104. Let u = -143/4 + f. Factor 1/4*k + 0 - u*k**4 - 1/4*k**3 + 1/4*k**2.
-k*(k - 1)*(k + 1)**2/4
Let l = -10 + 41/4. Factor 0 + 6*o**3 - 9/4*o**2 + l*o - 4*o**4.
-o*(o - 1)*(4*o - 1)**2/4
Suppose 2*z - 3*z = 2*z. Let j(l) be the third derivative of -1/20*l**5 + 1/2*l**3 + 0*l + 0*l**4 + z - 3*l**2. Solve j(g) = 0.
-1, 1
Factor 26 - 26 - 2*d**4 + 2*d**3.
-2*d**3*(d - 1)
Let f(q) be the second derivative of 9/100*q**5 - 3*q - 1/12*q**4 - 1/15*q**3 - 1/30*q**7 + 0*q**2 + 1/30*q**6 + 0. Find x, given that f(x) = 0.
-1, -2/7, 0, 1
Let j = -847 - -9300/11. Let d = j - -199/22. Factor 8*u**2 + d*u**3 - 1 + 3/2*u + 2*u**4.
(u + 1)**2*(u + 2)*(4*u - 1)/2
Let h be (16/(-180)*-12)/(6/15). Factor h*t + 4/3*t**2 + 4/3.
4*(t + 1)**2/3
Let z(n) = -n**3 + 7*n**2 - 5*n - 2. Let c be z(6). Suppose u + 23 = -c*b + 5, -5*u = -4*b - 30. Factor -o + 2 + 0 - u*o + o**3.
(o - 1)**2*(o + 2)
Suppose 2*n - 15 = -9. Let r(d) be the first derivative of 1/12*d**4 + 1/3*d**3 - n + 0*d + 1/3*d**2. Factor r(s).
s*(s + 1)*(s + 2)/3
Let b(j) be the second derivative of -j**4/6 + 2*j**3 - 9*j**2 + 15*j. Factor b(t).
-2*(t - 3)**2
Let x(z) be the first derivative of -2*z**5/25 + z**4/5 + 2*z**3/15 - 2*z**2/5 - 10. Factor x(y).
-2*y*(y - 2)*(y - 1)*(y + 1)/5
Let s be 2 + -2 - (-6 + 2). Let q(u) be the first derivative of -2*u + 3 - 3/4*u**s + 8/3*u**3 - 3/2*u**2. Factor q(h).
-(h - 2)*(h - 1)*(3*h + 1)
Let b(t) be the first derivative of 25*t**6/3 + 19*t**5 - 45*t**4/4 - 80*t**3/3 - 10*t**2 - 62. Find o such that b(o) = 0.
-2, -1/2, -2/5, 0, 1
Let a(p) be the first derivative of p**6/75 - p**5/25 + p**4/30 - 2*p + 1. Let z(o) be the first derivative of a(o). Determine j so that z(j) = 0.
0, 1
Let v(y) be the first derivative of -y**3/9 + y/3 - 1. Suppose v(g) = 0. Calculate g.
-1, 1
Let o(y) be the first derivative of 0*y**2 + 0*y + 0*y**4 - 1/3*y**3 - 3 + 1/5*y**5. Let o(p) = 0. Calculate p.
-1, 0, 1
Suppose -2*b = -b + 28. Let z be b/(-49)*(-27)/(-12). Determine y, given that -6/7 - z*y - 3/7*y**2 = 0.
-2, -1
Let c be 14 + 3*(-1)/1. Let 4 - 6*o**3 - c*o**2 - 3*o**2 - o**4 + 2*o + 11*o**4 + 4*o = 0. What is o?
-1, -2/5, 1
Let u(p) = p + 3*p - 191*p**2 - 3*p**4 + 192*p**2. Let t(r) = -r**4 - r**2 + r. Let d(a) = 4*t(a) - 2*u(a). Determine x, given that d(x) = 0.
-1, 0, 2
Let b = 87/178 - -1/89. Suppose -k**2 + 1 + 1/2*k**3 - b*k = 0. Calculate k.
-1, 1, 2
Let n(c) be the first derivative of 0*c**4 + 2/3*c**3 + 0*c - 2/15*c**6 + 6 + 2/5*c**2 - 2/5*c**5. Solve n(s) = 0 for s.
-2, -1, -1/2, 0, 1
Let z(g) be the first derivative of g**6/1260 + g**5/420 - g**4/42 + 4*g**3/3 + 4. Let t(u) be the third derivative of z(u). Factor t(j).
2*(j - 1)*(j + 2)/7
Let w(r) be the second derivative of -r**8/3360 - 17*r**7/6300 - 2*r**6/225 - r**5/75 + r**4/4 - 4*r. Let q(s) be the third derivative of w(s). Factor q(u).
-2*(u + 1)*(u + 2)*(5*u + 2)/5
Let y(o) be the second derivative of -o**5/16 + 5*o**4/48 - 11*o. Suppose y(c) = 0. What is c?
0, 1
Let n be 2 + (-8)/3 + (-20)/(-30). Let u(z) be the second derivative of -1/9*z**3 + 1/30*z**5 - z + 1/45*z**6 + n*z**2 + 0 - 1/18*z**4. Factor u(k).
2*k*(k - 1)*(k + 1)**2/3
Let j(f) be the third derivative of f**8/5040 + f**7/1260 + f**3/2 + 3*f**2. Let b(s) be the first derivative of j(s). Factor b(a).
a**3*(a + 2)/3
Let m be (-38)/12 + 5/30. Let c = -1 - m. Find j, given that 0 - 2/7*j**4 + 2/7*j**c + 0*j + 0*j**3 = 0.
-1, 0, 1
Suppose 2 + 6 = 2*h. Suppose 5 + z**h - 5 + 0*z**4 - z**2 = 0. What is z?
-1, 0, 1
Let o(r) be the second derivative of r**7/84 + r**6/150 - r**5/20 - r**4/30 + r**3/12 + r**2/10 + 7*r. Determine m so that o(m) = 0.
-1, -2/5, 1
Let p(i) be the second derivative of i**7/84 - i**6/12 + 9*i**5/40 - 7*i**4/24 + i**3/6 - 2*i. Factor p(q).
q*(q - 2)*(q - 1)**3/2
Suppose n + 77 = 3*z, -3*z - 61 = -5*n - 410. Let b = n + 208/3. Factor 16/3*r + b + 7/3*r**2.
(r + 2)*(7*r + 2)/3
Suppose 2*l**3 - 4 - 12 - l**4 + 17 - 2*l + 0*l**3 = 0. Calculate l.
-1, 1
Let f(z) be the first derivative of 4*z**3/3 + 6*z**2 + 8*z - 30. Solve f(v) = 0 for v.
-2, -1
Let i(t) = t - 1. Let s be 2/(-5) - (-54)/10. Let v be i(s). Let 3*q**3 - 3*q + 9*q**v - 8*q**2 + 0*q - q**2 = 0. What is q?
-1, -1/3, 0, 1
Let o be 19/6 - (-2)/(-4). Let i(a) be the first derivative of -o*a - 2/3*a**3 + 1 - 8/3*a**2. Factor i(u).
-2*(u + 2)*(3*u + 2)/3
Let x = -23/78 - -6/13. Let f(v) be the first derivative of -2 + 2/3*v**3 + 2/3*v - x*v**4 - v**2. Factor f(r).
-2*(r - 1)**3/3
Let v(o) be the third derivative of 0*o + 0 + 0*o**3 + 1/140*o**7 - 1/20*o**5 + 1/80*o**6 + 0*o**4 - o**2. Find w, given that v(w) = 0.
-2, 0, 1
Let n = 321 + -962/3. Let 1/3*x**3 + 0 + 0*x - 1/3*x**5 - n*x**4 + 1/3*x**2 = 0. Calculate x.
-1, 0, 1
Let h(s) be the first derivative of 1/100*s**5 - 1 - 1/15*s**4 + 0*s**2 + 2/15*s**3 - 2*s. Let a(p) be the first derivative of h(p). Let a(z) = 0. Calculate z.
0, 2
Suppose -2 = 3*i - 4*i. Suppose 1 = 4*z - 3. Factor 3*j**4 + 0 - i*j - 4*j**4 + 2*j**3 + z.
-(j - 1)**3*(j + 1)
Let r(k) be the first derivative of k**4/2 - 4*k**3/3 - 3*k**2 + 5. Suppose r(b) = 0. What is b?
-1, 0, 3
Let o(g) = -2 - 4*g**4 + 5*g**3 - g - 2*g**2 + 0*g**4 + g**4 - g**2. Let q(m) = -4*m**4 + 6*m**3 - 3*m**2 - 2*m - 3. Let t(x) = -6*o(x) + 4*q(x). Factor t(v).
2*v*(v - 1)**3
Let b(p) be the second derivative of p**7/140 + p**6/90 + p**3/6 - p. Let r(m) be the second derivative of b(m). Solve r(n) = 0 for n.
-2/3, 0
Let h = -40 - -121/3. Let w(r) be the second derivative of 1/3*r**3 + h*r**4 - 1/5*r**5 + 1/21*r**7 - 1/15*r**6 - r**2 + 0 - 2*r. Factor w(t).
2*(t - 1)**3*(t + 1)**2
Let q(g) be the second derivative of -g**6/105 - g**5/70 + g**4/21 - 6*g. Factor q(l).
-2*l**2*(l - 1)*(l + 2)/7
Let o = 261/4 + -65. Let -z - z**3 + 3/2*z**2 + 1/4*z**4 + o = 0. Calculate z.
1
Suppose 2*f - 7 - 1 = 0. Let b(t) be the third derivati