+ v.
-2*z*(z - 1)/9
Let u(k) be the second derivative of 0 + 1/6*k**3 + 1/3*k**2 - 1/36*k**4 - 10*k - 1/90*k**6 - 1/20*k**5. Factor u(g).
-(g - 1)*(g + 1)**2*(g + 2)/3
Let v(g) be the third derivative of -g**5/12 + 5*g**4/24 + 37*g**2. Factor v(h).
-5*h*(h - 1)
Let z(y) be the second derivative of 3*y**5/20 - 13*y**4/4 + 11*y**3 + 55*y. Factor z(h).
3*h*(h - 11)*(h - 2)
Solve -1/2*x**2 + 1/2*x**3 + 1/2*x**4 + 0 - 1/2*x = 0.
-1, 0, 1
Let h(d) be the second derivative of 0*d**4 + 3*d - 1/360*d**6 + 0*d**5 + 0 + 1/3*d**3 + 0*d**2. Let b(p) be the second derivative of h(p). Solve b(v) = 0.
0
Let b(s) = -54*s**2 - 72*s - 27. Let u(q) = -q**2. Let i(g) = b(g) - 6*u(g). Factor i(t).
-3*(4*t + 3)**2
Let x(h) be the first derivative of -1/6*h**6 - 4*h**2 - 20/3*h**3 - 9/2*h**4 - 7/5*h**5 + 0*h - 4. Factor x(p).
-p*(p + 1)*(p + 2)**3
Let f(i) be the first derivative of -i**3/2 + 3*i**2 - 9*i/2 - 8. Factor f(k).
-3*(k - 3)*(k - 1)/2
Let m(p) be the third derivative of p**8/5040 + p**7/1260 - p**5/180 + p**4/4 - p**2. Let t(c) be the second derivative of m(c). Factor t(v).
2*(v + 1)**2*(2*v - 1)/3
Suppose 33/8*x**3 - 3/2*x + 0 - 9/8*x**4 - 3*x**2 = 0. Calculate x.
-1/3, 0, 2
Let k(m) be the first derivative of -m**4/20 - m**3/10 - 7*m + 1. Let s(q) be the first derivative of k(q). Factor s(i).
-3*i*(i + 1)/5
Let v(a) = -3*a**2 - 5*a**3 + a**2 + a**2 + 4*a**3. Let x be v(-2). Solve 1/4*p**x + 1/2*p**3 + 0*p + 0 + 1/4*p**2 = 0 for p.
-1, 0
Suppose -22 = -4*q - b - 9, 2*q + 2*b = 14. Factor -8/3 + 8/3*c**q - 4/3*c + 4/3*c**3.
4*(c - 1)*(c + 1)*(c + 2)/3
Let n(s) = -3*s - 2. Let u be n(-2). Suppose 0 = 3*g + 5*o + 1, 3*g - 1 = 2*g - o. Factor 5*t**5 - 6*t + u*t**5 + 18*t**2 + 33*t**4 + 3*t + 0*t - 3 + 42*t**g.
3*(t + 1)**4*(3*t - 1)
Suppose -3*g = 3*p - 2*g - 35, 2*p = 3*g + 38. Let t = 17 - p. Solve -2/5*u**t + 0*u + 0*u**3 + 2/5*u**2 + 0 = 0.
-1, 0, 1
Let u(h) = -h + 2. Let t be u(-2). Find x, given that -x**3 + t*x**3 + x - 4*x**3 = 0.
-1, 0, 1
Let v(s) be the first derivative of -98*s**3/39 - 42*s**2/13 - 18*s/13 - 2. Factor v(b).
-2*(7*b + 3)**2/13
Let x(y) be the first derivative of y**4/4 - 5. Let n(r) = -4*r**3 - 4*r**2 - 2*r. Let h(o) = n(o) + 2*x(o). Suppose h(l) = 0. Calculate l.
-1, 0
Suppose -q + 2 + 0 = 0. Let d(y) be the second derivative of 0 + 1/10*y**5 + 1/2*y**4 + y**3 + y**q - y. Solve d(o) = 0.
-1
Let m(a) be the third derivative of -a**6/210 + 4*a**5/105 - a**4/14 + 13*a**2. Factor m(r).
-4*r*(r - 3)*(r - 1)/7
Let r = -106 + 108. Let -12/5*n**r - 2/5 - 8/5*n - 2/5*n**4 - 8/5*n**3 = 0. What is n?
-1
Suppose -5*r = -4*j - 7, j - 2*r + 2 = -2. Let d be (-28)/(-8) + -1 + j. Determine b so that -1/2*b**2 + 3*b - d = 0.
3
Let c(o) = o**2 + 23*o + 44. Let t be c(-21). Factor 7/2*n**t - n + 0.
n*(7*n - 2)/2
Let b(u) be the first derivative of 1/84*u**4 - 1/1260*u**6 + 1/3*u**3 + 0*u + 0*u**5 - 1 + 0*u**2. Let w(c) be the third derivative of b(c). Factor w(s).
-2*(s - 1)*(s + 1)/7
Determine x so that 17*x**2 + 0*x**3 - 3*x**3 - 9*x - 5*x**2 = 0.
0, 1, 3
Factor 1/5*p**2 + 1/5 - 2/5*p.
(p - 1)**2/5
Let h(y) be the third derivative of -y**6/600 - y**5/150 + y**4/30 + 4*y**3/15 + 20*y**2. Let h(l) = 0. What is l?
-2, 2
Let h(y) be the third derivative of y**7/245 - y**6/420 - y**5/70 + y**4/84 + 7*y**2 - 1. Let h(x) = 0. What is x?
-1, 0, 1/3, 1
Let a(g) = 196*g**4 + 1492*g**3 + 2668*g**2 - 916*g - 20. Let q(t) = -28*t**4 - 213*t**3 - 381*t**2 + 131*t + 3. Let p(f) = -3*a(f) - 20*q(f). Factor p(h).
-4*h*(h + 4)**2*(7*h - 2)
Let z(u) be the second derivative of -u**7/273 - u**6/195 + u**5/26 + u**4/78 - 8*u**3/39 + 4*u**2/13 + 8*u. Factor z(m).
-2*(m - 1)**3*(m + 2)**2/13
Let j be 0/2 + (-6)/(-18). Let r(h) be the first derivative of -2 + 2/15*h**5 + 2/3*h - 4/9*h**3 + 1/9*h**6 + 1/3*h**2 - j*h**4. Solve r(g) = 0.
-1, 1
Let t(n) be the first derivative of -1/2*n**2 + 1/180*n**5 + 1/18*n**3 - 3 + 0*n + 1/36*n**4. Let i(s) be the second derivative of t(s). Factor i(g).
(g + 1)**2/3
What is t in 5/3*t**3 - 5/3*t**4 - 25/3*t + 5*t**2 + 10/3 = 0?
-2, 1
Let w(j) be the second derivative of j**9/1008 - j**8/280 + j**6/60 - j**5/40 + j**3/2 - j. Let p(r) be the second derivative of w(r). Factor p(o).
3*o*(o - 1)**3*(o + 1)
Let u(h) = -h**2 + 7*h - 10. Let x be u(4). Suppose 4*t = -4*d - 0*d - 20, -x*t = 4*d + 20. Factor -2/7*r**4 + 0 + 2/7*r**2 + 2/7*r**5 - 2/7*r**3 + t*r.
2*r**2*(r - 1)**2*(r + 1)/7
Suppose b + 4*k = 15, -3*k = -3 - 6. Suppose 3*g**2 - b - 3 - 3*g + 0*g = 0. Calculate g.
-1, 2
Let s(d) = d**2 - 6*d + 4. Let f be s(4). Let n be (-6)/f*4/3. Factor -2*o**3 + 2*o**n + 4*o**3 - 4*o**2.
2*o**2*(o - 1)
Let q(f) be the first derivative of -f**3 + 9/4*f**4 + 1/2*f**6 - 9/5*f**5 + 0*f**2 + 0*f + 4. Factor q(o).
3*o**2*(o - 1)**3
Suppose -3*d + 13 = -6*d - 5*k, 3*k = -d - 11. Solve h**5 - 2*h**4 - 9*h**d + 3*h**4 - 3*h**5 - 8*h**3 = 0.
-2, 0
Factor 294/5 - 84/5*a + 6/5*a**2.
6*(a - 7)**2/5
Let k(t) = 3*t - 1. Let g be k(1). Let b be g*(-3)/(-9)*3. Factor 0 + 0*a + 0*a**b + 2/3*a**3 + 2/3*a**4.
2*a**3*(a + 1)/3
Let u(c) be the first derivative of 3*c**4/16 + 3*c**3/4 + 9*c**2/8 + 3*c/4 - 25. Factor u(k).
3*(k + 1)**3/4
Factor 0 + 1/2*r**4 + 0*r**2 + 7/4*r**5 + 0*r**3 + 0*r.
r**4*(7*r + 2)/4
Let i(n) be the second derivative of -n**4/28 + n**3/7 - 3*n**2/14 + 2*n. Suppose i(k) = 0. Calculate k.
1
Suppose -o - 3 = -3*s, -4*s + o + 3 = -0. Let m(w) be the second derivative of -w + 0*w**3 - 1/10*w**5 + s*w**4 + 0*w**2 + 0. Factor m(l).
-2*l**3
Let n = 8597/4587360 + 2/9557. Let i(u) be the third derivative of 1/96*u**4 - n*u**6 + 0 - 1/24*u**3 + 1/240*u**5 + 0*u - 3*u**2. Factor i(y).
-(y - 1)**2*(y + 1)/4
Let h = 1 - 7. Let c = h - -74/11. Factor 8/11*o + 2/11*o**2 + c.
2*(o + 2)**2/11
Let f(a) be the first derivative of 4/33*a**3 - 1/22*a**4 + 0*a**2 + 0*a + 1. Factor f(h).
-2*h**2*(h - 2)/11
Suppose 3*x - o = 6, 0*o - 8 = -4*x + 3*o. Factor -2/7*q**x + 0 - 4/7*q.
-2*q*(q + 2)/7
Let z(m) be the first derivative of 5*m**6/6 + 3*m**5 - 20*m**3/3 - 16. Suppose z(i) = 0. Calculate i.
-2, 0, 1
Suppose 2/13*m - 8/13*m**4 + 8/13*m**2 + 0 - 2/13*m**3 = 0. Calculate m.
-1, -1/4, 0, 1
Suppose -2*b + 2 = 2*q - 4*q, -5*b - 5*q = -35. Suppose 0 = -5*x + 2*x + 4*m + 16, -3*m - 12 = -4*x. Factor 0*w + 1/4*w**b - 1/4*w**2 + x + 0*w**3.
w**2*(w - 1)*(w + 1)/4
Let j = 12 + -10. Suppose -j*o + 12 = o. Factor 1/3*i**o + 0*i + 1/3*i**2 + 2/3*i**3 + 0.
i**2*(i + 1)**2/3
Let z(t) = -t**3 - 11*t**2 - t - 7. Let g be z(-11). Factor 3*a + 2*a**5 + 2 + g*a**2 - 6*a**4 + 4*a**3 - 16*a + 7*a.
2*(a - 1)**4*(a + 1)
Let i(y) be the first derivative of -3*y**3 + y**4 - 8 - 2*y**3 + 3*y**3 - y**2 - 2*y**4. Factor i(q).
-2*q*(q + 1)*(2*q + 1)
Let f(u) be the first derivative of -u**4/16 - u**3/12 - 9. Factor f(z).
-z**2*(z + 1)/4
Factor 5/3*g**2 + 10*g + 15.
5*(g + 3)**2/3
Let y(u) = -3*u**5 + u**4 - 3*u**3 - u**2 + 6*u. Let b(k) = -5*k**5 + 2*k**4 - 6*k**3 - 2*k**2 + 11*k. Let g(f) = -4*b(f) + 7*y(f). What is j in g(j) = 0?
-2, -1, 0, 1
Suppose b - j + 3 = 0, -2*b - 3*b - j = -15. Let -11*d**2 + 4*d + 9*d**3 - 3*d**4 + 0*d - d + 2*d**b = 0. Calculate d.
0, 1
Find q such that -4*q + q**2 + 4*q**3 + 10*q**2 - 4 + 0 - 7*q**2 = 0.
-1, 1
Suppose 1 = -q + 5*p, 21 = 5*q - 3*p + 4*p. Suppose -2*y**2 + 5*y**5 + 2*y**q + 0*y**5 - 3*y**5 - 2*y**3 + 0*y**4 = 0. Calculate y.
-1, 0, 1
Let n(v) be the second derivative of v**5/210 - v**4/126 - v**3/63 + v**2/21 + 7*v. Suppose n(f) = 0. Calculate f.
-1, 1
Suppose -5*v + 16 = -2*m + 4*m, 0 = 4*v - 8. Solve 0 + 2/7*f**m + 0*f + 0*f**2 + 2/7*f**4 = 0 for f.
-1, 0
Let i be (-4)/(-6) + 4/(-24). Let u = 13/14 - 3/7. Solve 0*v + v**4 + i*v**3 - u*v**2 + 0 = 0 for v.
-1, 0, 1/2
Let k(n) be the first derivative of -2*n**5/45 + 4*n**4/9 - 16*n**3/9 + 32*n**2/9 - 32*n/9 - 5. Factor k(h).
-2*(h - 2)**4/9
Let n be 0 - 2 - -7 - -1. Factor 166*v + n + 6*v**2 - 157*v - 3*v**2.
3*(v + 1)*(v + 2)
Let y(i) be the second derivative of -i**4/28 + 3*i**3/14 + 6*i**2/7 - 10*i. Factor y(z).
-3*(z - 4)*(z + 1)/7
Let d(r) be the first derivative of 4*r**4 - 8*r**3/3 + r**2/2 + 5. Solve d(b) = 0.
0, 1/4
Let o(w) be the third derivative of -w**8/336 + w**7/105 - w**6/120 - 2*w**2. Find m, given that o(m) = 0.
0, 1
Let z = 475 - 1889/4. Factor 1/2 + 9/4*n**4 - z*n**2 + 7/4*n**3