e third derivative of -s**8/13440 - s**7/1680 - s**6/576 - s**5/480 + 5*s**3/6 + 5*s**2. Let t(c) be the first derivative of q(c). Factor t(f).
-f*(f + 1)**2*(f + 2)/8
Factor -1 + 7*q**2 - 5 - 10*q**2 + 9*q.
-3*(q - 2)*(q - 1)
Factor -6 + b - 2*b**2 + 8*b**2 - 5*b**2.
(b - 2)*(b + 3)
Let q be ((-1)/(-2))/((-3)/(-6)). Let d be 2/(0/(-1) + q). Factor 2 - 3 - 3*f**2 + 3*f + 3*f**3 - d*f**3.
(f - 1)**3
Suppose -14 = -q - 1. Let n be (1 - q)*(-12)/64. Factor n*z - 9/4*z**2 + 3/4*z**4 - 1/2 - 1/4*z**3.
(z - 1)**2*(z + 2)*(3*z - 1)/4
Suppose -2*p = p. Suppose 4 = -0*l - 2*l + 4*i, p = 4*l - i - 13. Factor -y**4 - l*y**3 + 2*y**3 - y**5 - y**5 + 5*y**4.
-2*y**3*(y - 1)**2
Let f(l) be the third derivative of 0 + 1/56*l**4 + 0*l**3 + 0*l - 1/70*l**5 - 3*l**2. Factor f(a).
-3*a*(2*a - 1)/7
Let i(q) be the second derivative of -q**6/540 - q**5/135 - q**4/108 + q**2 + 3*q. Let p(s) be the first derivative of i(s). Factor p(g).
-2*g*(g + 1)**2/9
Let d(a) be the third derivative of -3*a**2 + 2/21*a**3 + 25/84*a**4 + 27/392*a**8 + 0*a + 4/7*a**5 + 9/14*a**6 + 18/49*a**7 + 0. Solve d(c) = 0.
-2, -1/3
Let k(f) be the second derivative of -f**5/110 + 2*f**4/11 - 16*f**3/11 + 64*f**2/11 + 15*f. Factor k(p).
-2*(p - 4)**3/11
Let u be 5/10*(8 + 2). Let o be (-40)/(-12)*6/u. Factor 0*g - 2/3*g**o + 4/3*g**3 + 0 - 2/3*g**2.
-2*g**2*(g - 1)**2/3
Let b be 2 + -2 - (-3 + 1). Let q be 4/(-14) - (-48)/21. Solve l + 3*l**2 - 3*l**b + l**q = 0.
-1, 0
Factor 3 + 27/2*p**2 - 33/2*p.
3*(p - 1)*(9*p - 2)/2
Let z(j) be the second derivative of 1/5*j**5 + 1/3*j**3 + 1/105*j**7 + 1/15*j**6 + 2*j + 1/5*j**2 + 1/3*j**4 + 0. Factor z(v).
2*(v + 1)**5/5
Suppose 0 = 190*o - 183*o. Determine p so that -2/7*p**2 + o - 2/7*p = 0.
-1, 0
Suppose -6 = -3*t - 0. Let w(u) be the first derivative of 3/2*u**4 + 2/3*u**3 + 2/5*u**5 - 3*u**2 - 4*u - t. Suppose w(l) = 0. What is l?
-2, -1, 1
Let j(b) = 1. Let o(l) = -2*l**2 - 4*l - 2. Let k(n) = 2*j(n) + o(n). Solve k(r) = 0 for r.
-2, 0
Suppose y - 13 = -3*y + 5*i, -2 = -3*y - 4*i. Suppose 5*o = -5*h, -3*h + y*h + 18 = -5*o. Factor 4*l**5 - 3*l**5 - l**h + 0*l**5.
l**3*(l - 1)*(l + 1)
Let b be (6/1)/(-3) + 8. Let j(y) be the third derivative of 1/336*y**8 + 0*y + 1/105*y**7 - 1/30*y**5 + 0*y**b - 1/24*y**4 + y**2 + 0 + 0*y**3. Solve j(p) = 0.
-1, 0, 1
Let b(z) be the second derivative of -z**7/3780 + z**6/648 + z**5/270 - z**4/6 - 3*z. Let v(x) be the third derivative of b(x). Find l, given that v(l) = 0.
-1/3, 2
Let i(z) be the third derivative of z**5/120 - z**4/16 + 4*z**2. Solve i(f) = 0 for f.
0, 3
Let m(o) be the second derivative of 2*o**2 + 0 - 4/3*o**3 - 2*o + 5/12*o**4 - 1/20*o**5. Determine h so that m(h) = 0.
1, 2
Suppose -5 = 2*d - 3*d. Let n be (56/d)/4 - 2. Suppose -n*j - 2/5*j**2 + 0 = 0. What is j?
-2, 0
Factor 3*i**5 - 2*i**4 - 5*i**5 - i**2 + i**2 + 2*i**3 + 2*i**2.
-2*i**2*(i - 1)*(i + 1)**2
Let t(d) be the first derivative of d**8/3360 + d**7/840 + d**6/720 - d**3/3 + 7. Let x(k) be the third derivative of t(k). Let x(n) = 0. Calculate n.
-1, 0
Let s(y) be the second derivative of 0 + 0*y**2 + 1/80*y**5 - y + 0*y**3 + 0*y**4. Determine f so that s(f) = 0.
0
Factor -9/5*i - i**4 + 0 + 21/5*i**2 - 7/5*i**3.
-i*(i - 1)*(i + 3)*(5*i - 3)/5
Let f(n) be the second derivative of -n**5/20 + n**4/4 - n**3/3 + 13*n. Find z such that f(z) = 0.
0, 1, 2
Let a be (79/20)/((-15)/2). Let l = -2/75 - a. Let 1/2*d**2 + 0 + 1/2*d**5 - l*d**4 - 1/2*d**3 + 0*d = 0. What is d?
-1, 0, 1
Factor 5/2*n**4 - 5/6*n**5 - 5/2*n**3 + 0*n + 5/6*n**2 + 0.
-5*n**2*(n - 1)**3/6
Let h(k) be the first derivative of -k**6/2 + 3*k**5/5 + 15*k**4/4 - k**3 - 12*k**2 - 12*k - 1. Factor h(m).
-3*(m - 2)**2*(m + 1)**3
Factor 2/3*a - 2/3*a**2 + 0.
-2*a*(a - 1)/3
Let a(p) = -p**2 - 5*p + 4. Let c be a(-5). Factor 0 + 2/7*q**c + 2/7*q - 2/7*q**3 - 2/7*q**2.
2*q*(q - 1)**2*(q + 1)/7
Let f = 28 + -34. Let l be 4 - (f - -4)/(-1). Solve 4/3*p**3 - p**l - 2/3 - 3*p = 0.
-1, -1/4, 2
Let u(d) = d**3 - 7*d**2 + 5*d + 4. Let g be u(6). Let s = 0 - g. Factor -1/3*b + 1/3*b**3 + 1/3 - 1/3*b**s.
(b - 1)**2*(b + 1)/3
Let k(s) be the second derivative of -1/2*s**3 + 3/20*s**5 + 0 + 0*s**2 + 0*s**4 + 3*s. Factor k(o).
3*o*(o - 1)*(o + 1)
Suppose 0 = -6*n + n + 5. Find f such that 0 + n - 1 + 2*f**2 - 2*f = 0.
0, 1
Let v(j) be the third derivative of j**5/210 - j**4/84 - 2*j**3/21 - 4*j**2. What is b in v(b) = 0?
-1, 2
Let c be (-4)/6 - 28/3. Let p = -5 - c. Factor -2*a**2 - 3*a - 6 + p*a**2 + 0.
3*(a - 2)*(a + 1)
Let t(l) be the first derivative of -l**4/48 - 2*l + 3. Let u(b) be the first derivative of t(b). Let u(f) = 0. What is f?
0
Let t(q) be the second derivative of -2/15*q**6 + 3*q + 1/3*q**3 - 1/21*q**7 + 0*q**5 + 0*q**2 + 1/3*q**4 + 0. Find x, given that t(x) = 0.
-1, 0, 1
Let r be ((3/7)/1)/(-7). Let q = 61/196 + r. Factor -q*y**3 - 1/2 - y**2 - 5/4*y.
-(y + 1)**2*(y + 2)/4
Let z(s) be the first derivative of -s**4/4 - s**3/3 + 6. What is j in z(j) = 0?
-1, 0
Let h(z) be the second derivative of -z**5/10 + 2*z**4/9 + 4*z**3/9 - 8*z. Factor h(g).
-2*g*(g - 2)*(3*g + 2)/3
Let f(y) = y**3 + 6*y**2 + 5*y - 2. Let j be f(-5). Let r be (j/(-5))/(1/2). Suppose r*m + 2/5 - 6/5*m**2 = 0. Calculate m.
-1/3, 1
Suppose 0 = -i + 18 + 5. Suppose 0 = -3*r - 2*a + a + 3, 0 = 4*r - 5*a - i. Factor -1/4*u**5 + 1/4*u**3 + 0*u + 0 + 0*u**4 + 0*u**r.
-u**3*(u - 1)*(u + 1)/4
Let r(x) be the first derivative of 0 + 4 + 8*x**3 - 9*x**3. Suppose r(q) = 0. What is q?
0
Let j(k) be the first derivative of -7*k**6/240 + k**5/60 + 7*k**4/48 - k**3/6 - k**2 - 4. Let g(x) be the second derivative of j(x). Find v such that g(v) = 0.
-1, 2/7, 1
Let r(p) be the third derivative of p**7/14 - p**6/24 - 31*p**5/150 + p**4/30 + 4*p**3/15 + 10*p**2. What is k in r(k) = 0?
-2/3, -2/5, 2/5, 1
Solve 6/17*v**2 + 0 + 10/17*v**3 - 18/17*v + 2/17*v**4 = 0.
-3, 0, 1
Let s = 50 + -50. What is r in 0 + 1/3*r**3 + s*r**2 + 0*r - 1/3*r**4 = 0?
0, 1
Let g = 53/117 - 1/117. Factor 2/9*i**2 - 2/9*i - g.
2*(i - 2)*(i + 1)/9
Let n be (-1)/33*1*-20. Let a = 19/11 + n. Factor -2/3 - 34/3*m**3 + 1/3*m + 16/3*m**2 + 26/3*m**4 - a*m**5.
-(m - 1)**4*(7*m + 2)/3
Let z(r) = -r**4 - r**3 + r + 1. Let c(d) = d**5 - d**3 + d + 1. Let l = 9 - 10. Let n(j) = l*z(j) + c(j). Factor n(h).
h**4*(h + 1)
Factor 0 - 2/5*u**3 + 2/5*u**4 + 0*u**2 + 0*u.
2*u**3*(u - 1)/5
Let a = 10/7 - 8/7. Suppose -3*x - 5*x + 3*x = 0. Factor -2/7*s**4 + 0 - a*s**3 + x*s + 0*s**2.
-2*s**3*(s + 1)/7
Let u(j) be the third derivative of 4*j**2 + 1/35*j**7 + 0*j**3 - 2/15*j**6 + 1/10*j**5 + 0 + 0*j + 1/6*j**4. Factor u(x).
2*x*(x - 2)*(x - 1)*(3*x + 1)
What is x in -41*x + 2*x**2 + 2 + 45*x + 0 = 0?
-1
Let o(h) be the third derivative of h**6/1440 + h**5/80 + 3*h**4/32 + 5*h**3/6 - 8*h**2. Let q(b) be the first derivative of o(b). Factor q(r).
(r + 3)**2/4
Let a(f) = -3*f**3 - 6*f**2 + 3*f + 2. Let y = -6 + 9. Let m(r) = -13*r**2 + r**3 - 5*r**3 + 7*r - y*r**3 + 4. Let p(w) = -9*a(w) + 4*m(w). Factor p(t).
-(t - 2)*(t - 1)*(t + 1)
Factor 4*l**2 + 55*l + 25 - 9 - 35*l.
4*(l + 1)*(l + 4)
Let g(b) be the second derivative of 0 + 0*b**2 + 2*b + 1/6*b**4 + 2/3*b**3. Find p such that g(p) = 0.
-2, 0
Factor 0*y**4 - 3*y**3 - 33*y + 36*y + 3*y**2 - 3*y**4.
-3*y*(y - 1)*(y + 1)**2
Suppose 1 = -3*c - 8. Let m(p) = p**3 + 4*p**2 + p - 2. Let z be m(c). Factor z*y - 3*y**2 + y**4 + y**4 - 3*y**2.
2*y*(y - 1)**2*(y + 2)
Let t(k) be the second derivative of 5*k**4/6 - 5*k**3/6 - k - 6. Factor t(a).
5*a*(2*a - 1)
Let h = -3 + 3. Let x be -3 + 3 + h/(-2). Factor x + 1/2*f**3 - 1/4*f + 0*f**4 + 0*f**2 - 1/4*f**5.
-f*(f - 1)**2*(f + 1)**2/4
Let n(s) be the first derivative of 0*s + 1/4*s**2 - 2 - 1/6*s**3. Solve n(x) = 0.
0, 1
Let l(f) = 5*f**2 - 4 - 4*f**4 - 3*f**3 + 3*f**4 - 3*f**4. Let i(o) = 17*o**4 + 13*o**3 - 21*o**2 + 17. Let a(z) = 6*i(z) + 26*l(z). Solve a(y) = 0.
-1, 1
Suppose -4*q = -6*v + 3*v + 25, 5*v - 7 = -2*q. Solve 4*t**3 - 4 - 13*t**2 - 4*t**3 + 6*t**v - t**4 + 12*t = 0 for t.
1, 2
Let h(d) = -d**5 + d**4 - 2*d**2 + d + 1. Let m(o) = -o**3 + o - 1 + 0*o**3 - o**2 + 2. Let u(g) = -2*h(g) + 2*m(g). Determine b, given that u(b) = 0.
-1, 0, 1
Let s = -51 + 53. Determine q, given that 16*q**s + 5*q + 1/3 - 64/3*q**3 = 0.
-1/8, 1
Let z(x) = 2*x**4 - 4*x**3 + 2*x**2. Let q(c) 