**5 - 8/5*d + 0 + 6/5*d**3 + 4/5*d**4.
-2*d*(d - 2)**2*(d + 1)**2/5
Let z(g) = -3*g**5 - 2*g**4 - 7*g**3 + 8*g. Let b(y) = y**5 + y**3 + y**2 - y. Let o(v) = 4*b(v) + z(v). Suppose o(p) = 0. Calculate p.
-1, 0, 2
Let s(n) be the first derivative of 0*n + 1/14*n**4 + 2/35*n**5 - 2/21*n**3 + 3 - 1/7*n**2. Factor s(v).
2*v*(v - 1)*(v + 1)**2/7
Determine k, given that -1/2*k**4 + 0*k**3 + 3*k**2 + 3/2 + 4*k = 0.
-1, 3
Let q(o) be the third derivative of o**8/168 + o**7/105 - o**6/20 - o**5/6 - o**4/6 + 5*o**2. Solve q(s) = 0 for s.
-1, 0, 2
Let v(z) = -z + 8. Let c be v(9). Let o be c/4 - (-25)/4. Let 3*l - 4*l**5 - 4*l**3 - l + o*l**5 = 0. What is l?
-1, 0, 1
Let w(f) = -f**3 - f. Let t(d) = -d**3 - 20*d**2 - 11*d. Let s(k) = -t(k) - 4*w(k). Factor s(r).
5*r*(r + 1)*(r + 3)
Let j(g) be the first derivative of -8 + 12/5*g**5 - 28/3*g**3 + 0*g**2 + g**4 + 16*g - 2/3*g**6. Solve j(k) = 0 for k.
-1, 1, 2
Let k(g) be the third derivative of g**5/10 + g**4/6 + g**3/9 - 28*g**2 - g. Let k(x) = 0. What is x?
-1/3
Let j(g) = -3*g**3 - 10*g**2 - 3*g. Let c(y) = -24*y**3 - 81*y**2 - 24*y. Let z(t) = -4*c(t) + 33*j(t). Factor z(q).
-3*q*(q + 1)**2
Let u(r) = 2*r**3 - 43*r**2 + 29*r + 7. Let z(p) = -p**3 + 14*p**2 - 10*p - 2. Let i(b) = -2*u(b) - 7*z(b). Let i(t) = 0. Calculate t.
0, 2
Let o(c) = -c**3 + 4*c**2 + 11*c + 8. Let n be o(6). Factor -3*b**n - 34*b + 34*b.
-3*b**2
Let k(q) be the second derivative of q**8/9240 + q**7/1540 + q**6/990 + q**3/3 - 4*q. Let z(s) be the second derivative of k(s). Factor z(d).
2*d**2*(d + 1)*(d + 2)/11
Let o be ((-3)/8)/(-11 + 2). Let k(b) be the third derivative of 0*b + o*b**4 + 1/240*b**5 - b**2 + 0 + 1/6*b**3. Factor k(f).
(f + 2)**2/4
Factor 0 - 1/8*x**2 + 1/8*x.
-x*(x - 1)/8
Let u(l) be the second derivative of -l**5/300 + l**4/120 + 2*l**2 + 3*l. Let o(v) be the first derivative of u(v). Factor o(x).
-x*(x - 1)/5
Let x(f) = -6*f**2 + 4*f + 5. Let v(o) = o**2 - o - 1. Let h(s) = -20*v(s) - 4*x(s). Factor h(i).
4*i*(i + 1)
Factor 20/3*h + 2 + 8*h**2 + 4*h**3 + 2/3*h**4.
2*(h + 1)**3*(h + 3)/3
Let r = 41/52 - 7/13. Determine g so that -1/4*g**2 + 0 - r*g**3 + 1/2*g = 0.
-2, 0, 1
Let s(g) be the third derivative of -g**6/40 + 9*g**2. Let s(n) = 0. Calculate n.
0
Let d(k) = -17*k**5 + 22*k**4 + 10*k**3 - 32*k**2 + k + 4. Let t(w) = 18*w**5 - 21*w**4 - 9*w**3 + 33*w**2 - 3. Let x(u) = -3*d(u) - 2*t(u). Factor x(y).
3*(y - 1)**3*(y + 1)*(5*y + 2)
Let k(n) be the first derivative of n**3/12 + 3*n**2/4 + 5*n/4 + 19. Factor k(g).
(g + 1)*(g + 5)/4
Let z(r) be the second derivative of 0*r**2 + 0*r**5 + r + 1/15*r**6 + 0*r**4 + 0*r**3 + 0 + 1/21*r**7. Factor z(w).
2*w**4*(w + 1)
Let j(r) be the first derivative of 1/12*r**4 + 2 + 1/2*r**2 + 1/3*r + 1/3*r**3. Let j(c) = 0. Calculate c.
-1
Let y(x) = -13*x**5 + 11*x**4 - 16*x**2 + 8*x + 5. Let r(f) = -20*f**5 + 16*f**4 - 24*f**2 + 12*f + 8. Let i(t) = -5*r(t) + 8*y(t). Factor i(k).
-4*k*(k - 1)**3*(k + 1)
Let u be (2/4)/((-5)/(-50)). Let s = u - 3. What is l in 4/3*l**2 - 4/3*l**4 + 0 - 8/3*l**3 + s*l**5 + 2/3*l = 0?
-1, -1/3, 0, 1
Let g = 23/30 + -3/5. Let c(d) be the second derivative of g*d**3 + 0*d**2 - 1/12*d**4 - 3*d + 0. Factor c(v).
-v*(v - 1)
Let p(k) be the first derivative of -7*k**5/5 + 9*k**4/4 - 2*k**3/3 + 9. What is b in p(b) = 0?
0, 2/7, 1
Let s(y) = y + 13. Let b be s(-12). Let q be 18/(-12)*b/(-3). Factor 1/2 - a + q*a**2.
(a - 1)**2/2
Let a be 274/(-888) + (-2)/8. Let y = 4/37 - a. Factor 0*m**3 + 0 + 2/3*m**2 - 1/3*m + 1/3*m**5 - y*m**4.
m*(m - 1)**3*(m + 1)/3
Let i(x) be the second derivative of x**5/5 - 5*x**4/3 + 14*x**3/3 - 6*x**2 + 7*x. Factor i(c).
4*(c - 3)*(c - 1)**2
Let s(y) be the second derivative of 5*y**4/12 + 10*y**3/3 + 3*y - 2. Let s(f) = 0. What is f?
-4, 0
Let c(m) be the second derivative of -m**10/120960 + m**4/4 - 2*m. Let u(y) be the third derivative of c(y). Factor u(w).
-w**5/4
Suppose 2*z + 4 = 8. Suppose -3*r - 5*y - 18 = -z*r, 0 = -2*r + 3*y + 16. Factor -q**r + 1/2 + 0*q**3 + 0*q + 1/2*q**4.
(q - 1)**2*(q + 1)**2/2
Let g(l) be the third derivative of -1/30*l**4 - 8*l**2 - 1/150*l**5 + 0 + 0*l + 1/5*l**3. Find i such that g(i) = 0.
-3, 1
Let b(c) be the third derivative of 1/150*c**5 - 6*c**2 - 1/525*c**7 + 0 + 0*c**3 + 0*c + 0*c**6 + 0*c**4. Solve b(i) = 0.
-1, 0, 1
Let h be 4 - ((-5)/4 + 1/4). Find x such that -3*x**4 + 9/5*x**3 + 0 - 3/5*x + 3/5*x**2 + 6/5*x**h = 0.
-1/2, 0, 1
Let s be 65/15 + 3/(-9). Let 2/9*v**s + 0*v + 0 - 2/9*v**3 + 0*v**2 = 0. Calculate v.
0, 1
Let k(l) be the second derivative of l**4/108 - l**3/18 + l**2/9 + 8*l. Factor k(s).
(s - 2)*(s - 1)/9
Factor 7*b**3 + 8*b**3 - 89*b**2 - 11*b**2 - 11*b**3 + 672*b - 576.
4*(b - 12)**2*(b - 1)
Let w(u) be the second derivative of -u**9/3780 - u**8/1120 + u**6/360 + u**4/4 + 2*u. Let v(b) be the third derivative of w(b). Factor v(m).
-2*m*(m + 1)**2*(2*m - 1)
Find m, given that 4*m**3 - 3*m**3 + 4*m**3 - 9*m**3 = 0.
0
Let i = 106/7 + -2636/175. Let k(l) be the first derivative of 0*l**3 + 0*l**2 + 1/15*l**6 - 1/5*l**4 + i*l**5 + 2 + 0*l. Let k(p) = 0. Calculate p.
-2, 0, 1
Let s(j) be the first derivative of j**4 + 28*j**3 + 294*j**2 + 1372*j - 14. Determine b so that s(b) = 0.
-7
Suppose 27 - 3 = -3*u. Let f be (-18)/u + 0 + -2. Find a such that -1/4*a**3 + 0 + 1/4*a - 1/4*a**2 + f*a**4 = 0.
-1, 0, 1
Let x(g) = 6*g**3 + 7*g**2 + g - 3. Let u(h) = -18*h**3 - 20*h**2 - 2*h + 8. Let a(p) = 3*u(p) + 8*x(p). Suppose a(q) = 0. What is q?
-1, 0, 1/3
Let x(b) be the second derivative of 0*b**2 + 4*b + 0 + 1/12*b**3 - 1/24*b**4. Factor x(l).
-l*(l - 1)/2
Let s(y) be the second derivative of 0 + 0*y**2 + 5/6*y**4 + 2/3*y**3 + y - 11/10*y**5 + 4/15*y**6. Factor s(k).
2*k*(k - 2)*(k - 1)*(4*k + 1)
Let p(n) be the second derivative of 4*n**6/15 + n**5/10 - 2*n**4 - 11*n**3/3 - 2*n**2 + n. Factor p(g).
2*(g - 2)*(g + 1)**2*(4*g + 1)
Let z = 1382/5 - 276. Factor -z*d**2 + 2/5*d + 0.
-2*d*(d - 1)/5
Let y be (-8)/(-3) - (1 - -1). Let h(x) be the first derivative of 2/9*x**3 - 2 + 1/3*x**2 - y*x - 1/6*x**4. Solve h(i) = 0.
-1, 1
Let h(b) be the first derivative of 2*b**3/3 + b**2 - 4*b + 9. Suppose h(x) = 0. What is x?
-2, 1
Let x(h) be the first derivative of h**5/5 - 7*h**4/4 + 6*h**3 - 10*h**2 + 8*h - 18. Factor x(u).
(u - 2)**3*(u - 1)
Let w(o) = 20*o**2 + 23*o + 20. Let k(c) = 7*c**2 + 8*c + 7. Let q(h) = 17*k(h) - 6*w(h). Factor q(b).
-(b + 1)**2
Let p be (0/(-2))/(-4 - -2). Suppose v + v - 4 + p*v - 8*v - 2*v**2 = 0. Calculate v.
-2, -1
Let l = -134 + 404/3. Let i(u) be the first derivative of 1 - 2*u + l*u**3 + 0*u**2. Factor i(w).
2*(w - 1)*(w + 1)
Let 5*u - u + u**2 + 8*u - 4*u**2 = 0. What is u?
0, 4
Let v be ((-6)/(-54))/(3/9). Factor v*z**5 - 2/3*z**3 + 1/3*z + 0*z**2 + 0*z**4 + 0.
z*(z - 1)**2*(z + 1)**2/3
Let t(u) be the third derivative of -u**8/20160 - u**7/3780 - u**6/2160 - u**5/15 + 3*u**2. Let f(o) be the third derivative of t(o). Factor f(h).
-(h + 1)*(3*h + 1)/3
Let c(w) be the second derivative of -w**6/15 + 2*w**5/15 + w**4/18 - 2*w**3/9 - 9*w. Determine d, given that c(d) = 0.
-2/3, 0, 1
Suppose 20 = -2*o + 4*o + 4*w, 5*o + 10 = 5*w. Factor -d**4 + o*d**2 + 2*d + 7*d**2 - 14*d**2 + 8*d**2.
-d*(d - 2)*(d + 1)**2
Let s be (-2)/(-5) + (-188)/20. Let t = -9 - s. What is g in -4/5*g**2 - 2/5*g**3 - 2/5*g + t = 0?
-1, 0
Let q(l) be the first derivative of -2 + l - 1/6*l**3 + l**2 - 1/12*l**4. Let b(z) be the first derivative of q(z). Factor b(f).
-(f - 1)*(f + 2)
Let t(y) = 6*y**4 + 14*y**3 - 94*y**2 + 14*y. Let h(s) = s**4 + 3*s**3 - 19*s**2 + 3*s. Let n(w) = -14*h(w) + 3*t(w). Factor n(a).
4*a**2*(a - 2)*(a + 2)
Let -5 - 35*k - 8*k**3 - 20*k**3 - 55*k**2 + 3*k**3 = 0. What is k?
-1, -1/5
Let y(t) be the second derivative of -t**7/70 - 3*t**6/50 + 3*t**5/100 + 3*t**4/20 - t + 2. Find v, given that y(v) = 0.
-3, -1, 0, 1
Suppose -5*p + 5*m + 5 = 0, 7 = -p - 0*p + 5*m. Factor -1 - i**p - i**2 - 1 + 2.
-i**2*(i + 1)
Let k be (-12)/30 - (-36)/15. Let -k*x**5 - 2*x - 49 + 49 + 4*x**3 = 0. Calculate x.
-1, 0, 1
Suppose 3*a - q = -0*a, 0 = -2*a + 3*q. Let p(k) be the first derivative of a*k + 1 - 1/4*k**4 - 4/3*k**3 - 2*k**2. Suppose p(n) = 0. Calculate n.
-2, 0
Let y(a) = a**4 - 8*a**3 + 4*a**2 - 4*a + 4. Let b(o) = 2*o**4 - 17*o**3 + 8*o**2 - 9*o + 9. Let z(l) = 4*