 0. Calculate c.
0, 1
Let o(a) be the first derivative of 2*a**6/3 - 2*a**5 + 2*a**4 - 2*a**3/3 - 8. Factor o(i).
2*i**2*(i - 1)**2*(2*i - 1)
Let j be (11 - 10)/(1/4). Let -1/3 + 1/3*o**j + 0*o**2 - 2/3*o + 2/3*o**3 = 0. Calculate o.
-1, 1
Let u(k) be the third derivative of 3*k**8/280 + k**7/25 - 19*k**6/150 - 34*k**5/75 - 2*k**4/5 - 11*k**2. Suppose u(x) = 0. Calculate x.
-3, -2/3, 0, 2
Let v(m) be the first derivative of 5*m**4/4 - 5*m**3 + 15*m**2/2 - 5*m - 14. Factor v(h).
5*(h - 1)**3
Let l(o) be the second derivative of 1/60*o**5 + 0*o**4 + 2*o + 0*o**3 + 3/2*o**2 + 0. Let x(u) be the first derivative of l(u). Find g, given that x(g) = 0.
0
Let f(v) be the third derivative of v**5/150 - v**3/15 + v**2. Factor f(z).
2*(z - 1)*(z + 1)/5
Let k(y) be the second derivative of 0 + 0*y**2 + 0*y**3 + 3*y - 1/60*y**5 + 1/36*y**4. Factor k(s).
-s**2*(s - 1)/3
Let n(b) = -b - 12. Let f be n(-16). Let z be ((-64)/(-50))/(10/25). Factor 4/5*j**2 + z*j**3 + 14/5*j**f + 4/5*j**5 - 4/5*j - 2/5.
2*(j + 1)**4*(2*j - 1)/5
Let a(i) = 5*i**5 - 8*i**4 - 7*i**3 + 10*i**2 + 2*i - 2. Let h(d) = 10*d**5 - 17*d**4 - 13*d**3 + 20*d**2 + 3*d - 3. Let n(p) = -7*a(p) + 3*h(p). Factor n(y).
-5*(y - 1)**3*(y + 1)**2
Factor -8*b**4 + 5*b + 4*b**4 - 36*b**2 - 13*b - 40*b**3 - 8*b**4.
-4*b*(b + 1)*(b + 2)*(3*b + 1)
Let i(t) be the third derivative of -t**9/1512 + t**8/420 - t**6/90 + t**5/60 + t**3/2 - 3*t**2. Let s(p) be the first derivative of i(p). Factor s(m).
-2*m*(m - 1)**3*(m + 1)
Suppose -17 = 5*s + 13. Let a(h) = -2*h - 8. Let o be a(s). Factor 0*r - 2/3*r**o + 0 - 2/3*r**3 + 0*r**2.
-2*r**3*(r + 1)/3
Let o(j) be the first derivative of -3*j**2 - 2 + 2/3*j**3 + 4*j. Factor o(y).
2*(y - 2)*(y - 1)
Let p(q) = 2*q**2 + 4*q + 2. Let i be p(-2). Factor -5 - 2 + i - 3 - 52*d**2 + 60*d.
-4*(d - 1)*(13*d - 2)
Suppose -3*l + z = -0*z - 6, 0 = -2*z. Factor 2/5*w**l - 8/5*w + 8/5.
2*(w - 2)**2/5
Let s = -8 + 9. Suppose 1 - s + 0 - c**4 + c**3 = 0. Calculate c.
0, 1
Let z = -706 + 706. Determine q so that -4/9*q**2 + z + 2/9*q + 2/9*q**3 = 0.
0, 1
Suppose 7*a = 10*a. Factor a*k + 4/7*k**3 + 2/7*k**2 + 2/7*k**4 + 0.
2*k**2*(k + 1)**2/7
Let f = 868/5 - 2914/15. Let s = f - -24. Solve 20/3*q**2 - 2/3*q**5 - 20/3*q**3 - s*q + 2/3 + 10/3*q**4 = 0.
1
Suppose 4*q = 5*q - 3. Suppose 0 = 3*k + 3*r - 21, k = -2*r + q + 8. Factor -1/3*h + 2/3*h**2 + 0 + h**k.
h*(h + 1)*(3*h - 1)/3
Let p = 106 + -740/7. Determine x, given that -p*x + 8/7*x**2 + 6/7*x**3 - 4/7 = 0.
-1, 2/3
Let n(h) be the third derivative of h**7/280 - h**6/40 + 3*h**5/40 - h**4/8 + 5*h**3/6 - 5*h**2. Let t(p) be the first derivative of n(p). Factor t(a).
3*(a - 1)**3
Let g(h) be the second derivative of 0*h**4 + 0*h**3 + 0 - 1/14*h**7 + 3/10*h**6 + 0*h**2 - 3/10*h**5 - 3*h. Solve g(l) = 0 for l.
0, 1, 2
Let p(k) = 14 + 3*k**4 + 23*k**2 - 6*k**2 + 8*k**3 - 6*k + 15*k**3. Let t(n) = -n**4 - 8*n**3 - 6*n**2 + 2*n - 5. Let c(i) = -6*p(i) - 17*t(i). Factor c(v).
-(v - 1)*(v + 1)**3
Factor 5*o + 1 + 1 - 3*o**2 + 5*o**2 - o.
2*(o + 1)**2
Let c(l) = 2*l + 23. Let y(z) = -2*z - 11. Let k be y(0). Let f be c(k). Suppose 1/2*d + f - 1/2*d**2 = 0. Calculate d.
-1, 2
Suppose -l + 9 = 4*w, -6 - 2 = -2*w - 4*l. Let o(g) be the second derivative of -1/18*g**4 + 0 - 4/3*g**w + 4/9*g**3 + 2*g. Let o(u) = 0. Calculate u.
2
Let k(z) = z**3 - 8*z**2 + 2*z - 12. Let o be k(8). Suppose 12 = -0*c + o*c. Determine g so that 2*g**2 - c*g**2 + 3*g**3 + g**5 + 2*g**2 + 3*g**4 = 0.
-1, 0
Suppose 0 = 2*a + 3*b - 10, 5*a + 2*b - 25 = 7*b. Factor f**a + 2*f**5 - 11*f**4 - 3*f**2 + 9*f**3 + 2*f**4.
3*f**2*(f - 1)**3
Let h be (-2 - (-1 + 1))/(-2). Factor -3*l**3 + 3*l**2 + 0 - 3*l + 2*l**3 + h.
-(l - 1)**3
Let k be 8/3 + 1/3. Suppose -y + z + 5 = 0, 7*z - k*z = -4*y + 12. Factor -q**3 + 3*q**4 + 2*q**2 + 5*q**3 - q**y.
2*q**2*(q + 1)**2
Let s(d) = -2*d - 11. Let j be s(-9). Let y be j + -5 + (2 - 1). Determine q so that 0*q**2 + 0 + 1/2*q**y - 1/2*q = 0.
-1, 0, 1
Suppose -5 + 2 = -l. Find a, given that 3*a**2 + 7 - l*a + 3*a**3 + 2 - 6*a**2 - 6*a**2 = 0.
-1, 1, 3
Let o(h) be the third derivative of -h**5/480 - h**4/96 + h**3/16 + 47*h**2. Find j such that o(j) = 0.
-3, 1
Let k = -5601/13 - -431. Factor -6/13*c + k*c**2 + 0.
2*c*(c - 3)/13
Let d(b) be the second derivative of b**6/75 - b**5/10 + 7*b**4/30 - b**3/5 + 2*b. Determine k, given that d(k) = 0.
0, 1, 3
Let b(g) be the first derivative of -1/6*g**6 + 0*g**2 - 1/3*g**3 - 3 - 3/4*g**4 - 3/5*g**5 + 0*g. Suppose b(q) = 0. Calculate q.
-1, 0
Solve 43*m**3 - 56*m + 20 - 24*m**3 - 10*m**3 + 33*m**2 = 0 for m.
-5, 2/3
Let o be (-145)/30*-2 - 7. Factor 0 + 2/9*q + 8/9*q**2 - 4/9*q**3 - o*q**4 + 2*q**5.
2*q*(q - 1)**2*(3*q + 1)**2/9
Suppose -7 = -5*n + 3. Let m(i) be the third derivative of 0*i + 0 + 1/9*i**3 - 2/45*i**5 + i**n - 1/12*i**4. Determine h so that m(h) = 0.
-1, 1/4
Let w(f) be the third derivative of f**6/160 - f**5/40 + f**4/32 + 6*f**2. Suppose w(c) = 0. What is c?
0, 1
Suppose -21 = -5*r + 4. Factor r*h**2 - 2*h**2 + 3 + 4*h - 2*h**2.
(h + 1)*(h + 3)
Let b be (-18)/(-81) - (-2)/((-18)/(-43)). Let g(y) be the third derivative of -1/120*y**6 - 1/6*y**3 + 0*y + 0 - 3*y**2 + 1/60*y**b + 1/24*y**4. Factor g(c).
-(c - 1)**2*(c + 1)
Factor -y**4 - 5*y**2 + 2*y**4 - y**3 - 4*y + y.
y*(y - 3)*(y + 1)**2
Factor -30 - 5*r - 6*r**2 + 81*r**2 + 0*r + 0*r.
5*(3*r - 2)*(5*r + 3)
Find a, given that -a**3 - 4*a + 2*a**3 + 2*a + 4 + a - 4*a**2 = 0.
-1, 1, 4
Let w(m) be the third derivative of -m**7/126 + 17*m**6/360 - 7*m**5/60 + 11*m**4/72 - m**3/9 - 4*m**2. Determine b, given that w(b) = 0.
2/5, 1
Suppose y + 3*o = -0 - 3, -3*o - 3 = -3*y. Let w(a) be the third derivative of y - a**2 - 1/7*a**4 - 4/21*a**3 + 0*a - 3/70*a**5. Factor w(i).
-2*(3*i + 2)**2/7
Let z be (13 - 14)/(22/(-4)). Factor 2/11*g**3 + 4/11*g**2 + 0 + z*g.
2*g*(g + 1)**2/11
Let p(g) = -2*g**4 - 4*g**3 + 2*g**2 - 4. Let t(f) = 3*f**4 + 4*f**3 - 2*f**2 + 5. Let s(b) = 5*p(b) + 4*t(b). Factor s(d).
2*d**2*(d - 1)**2
Factor 1/4 + 1/4*z - 1/4*z**3 - 1/4*z**2.
-(z - 1)*(z + 1)**2/4
Let i(r) = -66*r**5 + 129*r**4 - 168*r**3 + 51*r**2 + 27*r. Let g(y) = -5*y**5 + 10*y**4 - 13*y**3 + 4*y**2 + 2*y. Let f(h) = -27*g(h) + 2*i(h). Factor f(z).
3*z**2*(z - 2)*(z - 1)**2
Let h be 8/3 - 4/6. Factor p**3 - p + 0*p**2 + 1 + 4*p**2 - p**h - 4*p**2.
(p - 1)**2*(p + 1)
Let v(d) = -d**2 - d. Let h(p) = p**2 + 2*p + 1. Suppose -2*x + w = 2, 0 = x + x - 3*w - 6. Let i(n) = x*v(n) - 2*h(n). Factor i(k).
(k - 2)*(k + 1)
Let m(k) be the first derivative of 2*k**3/9 - k**2 + 4*k/3 - 1. Factor m(f).
2*(f - 2)*(f - 1)/3
Find o, given that -6*o + 7/2*o**3 + 0*o**4 + 4 - o**2 - 1/2*o**5 = 0.
-2, 1, 2
Let r = -84 + 126. Let i be (-1)/3 - r/(-54). Factor 2/9*f**4 - 2/9 + i*f**3 - 4/9*f + 0*f**2.
2*(f - 1)*(f + 1)**3/9
Let r(y) be the first derivative of y**3 - 3*y**2/2 - 4. Solve r(d) = 0.
0, 1
Factor -s**3 + 4*s**4 + 5*s**3 + 3*s + 8 - 12*s**2 - 7*s.
4*(s - 1)**2*(s + 1)*(s + 2)
Let q(z) be the second derivative of -z**4/9 + 4*z**3/9 - 2*z**2/3 + 3*z. Suppose q(o) = 0. Calculate o.
1
Let s be 3 + -1 + 56/(-4). Let k = s + 14. Determine r, given that 2/5*r**4 - 4/5*r**k + 2/5 + 0*r**3 + 0*r = 0.
-1, 1
Let v(p) be the first derivative of -1/27*p**6 + 10/27*p**3 + 2/9*p**2 - 2/45*p**5 + 1/6*p**4 + 0*p - 1. Solve v(d) = 0 for d.
-1, 0, 2
Factor 1/3 - 1/3*t**2 + 0*t.
-(t - 1)*(t + 1)/3
Let a(m) be the first derivative of 7*m**5/20 + 5*m**4/12 - m**3/3 - 3*m - 3. Let r(s) be the first derivative of a(s). Determine i, given that r(i) = 0.
-1, 0, 2/7
Let b(f) = -2*f**2 + 2*f - 16. Let u(j) = -j + 1. Let c(h) = b(h) + 10*u(h). Let c(g) = 0. Calculate g.
-3, -1
Let c(k) = 4*k**2 + 17*k - 5. Let w(o) = o - 1. Let t(j) = -c(j) + 5*w(j). Determine u so that t(u) = 0.
-3, 0
Let i = 406 - 404. Factor 1/2 + 3/4*f + 1/4*f**i.
(f + 1)*(f + 2)/4
Let k be 10/35 - 24/378. Suppose 4/9*o**2 - k*o - 2/9 = 0. What is o?
-1/2, 1
Suppose -4 = -k + h, -5*k + 18 = -7*h + 3*h. Factor 16/5*i - 32/5 - 2/5*i**k.
-2*(i - 4)**2/5
Let h(i) be the first derivative of i**6/6 + 3*i**5/5 + 3*i**4/4 + i**3/3 + 29. Suppose h(r) = 0. Calculate r.
-1, 0
Let o = 45 + -28. Let q be (5 - (-6)/(-2)) + o. What is v in q*v**2 + v**2 + 7*v**2 - 6*v = 0?
0, 2/9
Let i(h) be the second derivative of 0*h**4 - 1/4*h**3 