**3/6 + 2*c**2. Factor j(x).
5*(x + 1)**5
Let q(r) = 2*r**2 - 6*r - 8. Let m be q(4). Let o(l) be the third derivative of -3*l**2 + 0*l**3 + 0*l + 1/12*l**4 - 1/20*l**5 + m. Factor o(i).
-i*(3*i - 2)
Let u = -1 + 3. Factor 3*y**u - y**3 - 3*y + 2*y - y.
-y*(y - 2)*(y - 1)
Let d = 4875/7 + -695. Determine b, given that -4/7*b - 18/7*b**2 - d*b**4 + 0 - 24/7*b**3 = 0.
-1, -2/5, 0
Determine f so that 2*f**3 - 8/5*f**2 - 2/5*f + 0 = 0.
-1/5, 0, 1
Let u be (-1)/(-10*2/16). Factor 2/5*n**4 - 2/5*n**2 - u*n**3 + 0 + 4/5*n.
2*n*(n - 2)*(n - 1)*(n + 1)/5
Factor 0 + 0*c + 0*c**2 - 2/7*c**5 + 2/7*c**3 + 0*c**4.
-2*c**3*(c - 1)*(c + 1)/7
Let t = 15 - 4. Factor -3*h + 2*h**3 + h + 7*h**2 - t*h**2 + 4.
2*(h - 2)*(h - 1)*(h + 1)
Solve 8/3*h**3 + 8/9*h**5 + 8/9*h**2 + 0*h - 10/3*h**4 + 0 = 0.
-1/4, 0, 2
Let l = -11 - -18. Factor -20*a + 19*a**2 + 13*a**4 - 4*a**5 + l*a**4 - 40*a**3 + 21*a**2 - 4 + 8.
-4*(a - 1)**5
Let k(v) = -v**4 - 4*v**3 - 3*v**2 + 1. Let h(d) = -d**3 + d + 1. Let s(q) = -5*h(q) + 5*k(q). Factor s(g).
-5*g*(g + 1)**3
Suppose -5*o = -o, 2*o = 2*f. Factor 0*x**3 + 2/5*x**4 + f - 2/5*x**2 + 0*x.
2*x**2*(x - 1)*(x + 1)/5
Suppose -3*l - 1/2*l**2 - 5/2 = 0. What is l?
-5, -1
Let w be 9/(-15)*30/(-783). Let v = 269/348 - w. Suppose v*c**2 - 3/4*c**3 - 3/4 + 3/4*c = 0. Calculate c.
-1, 1
Determine r, given that 24*r - 3*r**2 - 24*r = 0.
0
Suppose -j - 4*o + 20 = 0, -3*j + 10 = -3*o + 5*o. Let 4*r**5 - 26/3*r**4 + 0 + j*r + 6*r**3 - 4/3*r**2 = 0. Calculate r.
0, 1/2, 2/3, 1
Suppose o + 5*b - 51 = 6, 0 = 3*o + 2*b - 132. Let h be 4/(-7)*o/(-12). Factor 0 + 2/9*a**h + 0*a.
2*a**2/9
Let i be (-26)/(-117) - (-16)/9. What is q in 0*q + 4/3*q**2 + 0 - 10/3*q**4 - i*q**3 = 0?
-1, 0, 2/5
Let t = -18/17 - -89/68. Solve -t*p**4 + 0 + 0*p - 1/2*p**3 - 1/4*p**2 = 0 for p.
-1, 0
Suppose -5*w + 4*w = 0. Let j(i) be the first derivative of -3 + 0*i**2 + 1/8*i**4 + 1/10*i**5 + 0*i + w*i**3. Factor j(p).
p**3*(p + 1)/2
Let r(p) be the first derivative of 16*p**3/9 - 2*p**2 - 4*p/3 - 15. Suppose r(w) = 0. Calculate w.
-1/4, 1
Let y(q) be the second derivative of q**4/12 - 7*q**3/6 + 9*q**2/2 - 2*q. Let f be y(7). What is w in 3 + f*w**2 - 1 + 0 - 11*w**2 = 0?
-1, 1
Let a = 925 + -923. Suppose 3/4*o**a - 9/4*o - 3 = 0. Calculate o.
-1, 4
Let o be -7 - (18/(-2) + 2). Let s(v) = 3*v**2 - 1. Let a be s(-1). Factor 1/2*x**a + 0 + o*x.
x**2/2
Suppose -6*z - 3*p - 9 = -2*z, -4*z - p - 3 = 0. Suppose z = -5*f + 4*y + 41, 4*f + 4*y = -y. Factor 3*i**2 - f*i + 0 - 3*i + 3 + 2*i.
3*(i - 1)**2
Let c be 1 - (1/(-1) + 0). Factor -2*m**2 - c*m**2 + 3*m**2 - 3*m + 0*m**2 - 2.
-(m + 1)*(m + 2)
Let q be (-297)/(-132) + ((-1)/4)/1. Factor 1/5 - 1/5*f**3 + 1/5*f - 1/5*f**q.
-(f - 1)*(f + 1)**2/5
Let q(y) = 3*y**3 + 23*y**2. Let u(z) = -z**3 - 8*z**2. Let r(x) = -6*q(x) - 17*u(x). Factor r(l).
-l**2*(l + 2)
Let j(k) = -k**3 + 2*k**2 + 4*k - 2. Let w be j(3). Factor -4*f**3 + f**3 + 2*f**3 - f**2 + f + 0*f**3 + w.
-(f - 1)*(f + 1)**2
Let -5*d**3 + 4*d + d + 25*d**2 + 0 - 15*d**4 - 10 = 0. What is d?
-1, 2/3, 1
Let c(l) be the second derivative of l**4/102 + 4*l**3/51 + 3*l**2/17 + 41*l. What is j in c(j) = 0?
-3, -1
Let m be 4 + 1/(2/(-4)). Find y, given that -1/2*y**5 + 3/4*y**3 - 1/4*y**m + 0 + 1/4*y**4 - 1/4*y = 0.
-1, -1/2, 0, 1
Let b(w) be the first derivative of -1/2*w**2 + 2 - 2/3*w - 1/9*w**3. Suppose b(m) = 0. What is m?
-2, -1
Let k = 289/438 - -1/146. Let i(r) be the second derivative of 2*r**2 + 21/20*r**5 + 0 + 3*r - k*r**3 - 41/12*r**4. What is z in i(z) = 0?
-1/3, 2/7, 2
Let r(v) = 6*v**2 - 21*v + 48. Let w(x) = x**2 + x. Let o(b) = -r(b) + 3*w(b). Suppose o(u) = 0. What is u?
4
Let a(b) be the second derivative of -1/10*b**5 - 1/2*b**4 - b**3 + 0 + 3*b - b**2. Factor a(n).
-2*(n + 1)**3
Let h = 44 - 40. Let g(a) be the second derivative of 1/21*a**7 + 0*a**2 + 2*a - 2/15*a**6 - 1/3*a**3 + 0*a**5 + 0 + 1/3*a**h. Solve g(w) = 0.
-1, 0, 1
Factor 4 - 3*n**2 - 4 - 6*n.
-3*n*(n + 2)
Factor 9 + 2*o**2 + 6 - 17.
2*(o - 1)*(o + 1)
Let a(f) be the first derivative of 2*f**6/3 - 28*f**5/5 + 15*f**4 - 52*f**3/3 + 8*f**2 - 18. Factor a(q).
4*q*(q - 4)*(q - 1)**3
Let a(x) be the first derivative of -x**6/480 - x**2 - 2. Let c(v) be the second derivative of a(v). Factor c(j).
-j**3/4
Let k be 4*(56/16 + -3). Factor -2/5*c**3 + 4/5*c**k + 0*c + 0.
-2*c**2*(c - 2)/5
Let w be (1 - 0) + 1 + 1. Suppose 2*x - w - 5 = 0. Let 6*o**3 + x*o**4 - 8*o**3 - o**5 - o**5 = 0. Calculate o.
0, 1
Let n be (-1)/(3 - (-21)/(-6)). Factor -2/7*p**4 + 2/7*p**n + 0*p + 0 - 2/7*p**5 + 2/7*p**3.
-2*p**2*(p - 1)*(p + 1)**2/7
Factor 2/5*i**3 + 0 + 2/5*i + 4/5*i**2.
2*i*(i + 1)**2/5
Let p = -23 + 50. Let r = p + -27. Factor r + 3/2*j**4 + 0*j + 2*j**3 + 1/2*j**2.
j**2*(j + 1)*(3*j + 1)/2
Suppose 3*r + 4*z = -z - 19, -5*z = -2*r + 29. Suppose -5 = r*x - 3*q, -3*q + 1 = -5*x + 2. Find v, given that 2/5*v**3 - 4/5*v**x + 0 + 2/5*v = 0.
0, 1
Let c(j) = -6*j**3 - j**3 + 9 + 4*j**5 - 6*j**3 + 4*j**2 - 4*j**4. Let d(x) = x**5 - x**4 - 3*x**3 + x**2 + 2. Let b(i) = 2*c(i) - 9*d(i). Factor b(v).
-v**2*(v - 1)**2*(v + 1)
Let c = 489 + -489. Factor c - 4/5*s**2 - 4/5*s.
-4*s*(s + 1)/5
Factor 3/5*w**2 + 3/5*w**3 + 0 - 6/5*w.
3*w*(w - 1)*(w + 2)/5
Let l(t) be the first derivative of -3/5*t**2 - 2/5*t + 4 - 2/5*t**3 - 1/10*t**4. Determine a so that l(a) = 0.
-1
Let s(k) be the first derivative of -4*k**5/35 - 3*k**4/7 - 11. Factor s(c).
-4*c**3*(c + 3)/7
Let l = -12031/21 - -573. Let b(j) be the second derivative of 3/4*j**5 + 0 - 7/12*j**4 + l*j**7 - 13/30*j**6 + 0*j**2 + 1/6*j**3 + 3*j. Factor b(n).
n*(n - 1)**3*(4*n - 1)
Let k(r) be the second derivative of -r**6/420 - r**5/42 - 2*r**4/21 - 4*r**3/21 + 3*r**2 - r. Let o(w) be the first derivative of k(w). Factor o(z).
-2*(z + 1)*(z + 2)**2/7
Let x(w) = -49*w**3 - 48*w**2 - 29*w. Let i = 1 - 7. Let a(u) = 12*u**3 + 12*u**2 + 7*u. Let p(v) = i*x(v) - 26*a(v). Suppose p(f) = 0. Calculate f.
-2/3, 0
Let f = 738 + -1423/2. Let z = f + -26. Determine j so that -z*j**2 - 2*j - 2 = 0.
-2
Let m be (-20)/48*(-4)/10. Suppose 0 = a + a + 5*x + 11, 0 = -5*a + 2*x + 16. Solve m + 1/6*r - 1/6*r**3 - 1/2*r**a + 1/3*r**4 = 0.
-1, -1/2, 1
Let j = 12/13 - 227/260. Let k(o) be the second derivative of 0 + 2/45*o**6 + j*o**5 + 1/6*o**2 - 1/6*o**3 - 4*o - 5/36*o**4. Factor k(h).
(h - 1)*(h + 1)**2*(4*h - 1)/3
Let b be 1/(-1) + (-2145)/(-455). Solve 4*d**3 + 4/7 + 50/7*d**2 + b*d = 0 for d.
-1, -1/2, -2/7
Factor -1/8*g**2 - 5/8*g - 1/2.
-(g + 1)*(g + 4)/8
Let b(s) be the second derivative of s**7/28 + s**6/5 + 9*s**5/20 + s**4/2 + s**3/4 + 3*s. Find f, given that b(f) = 0.
-1, 0
Let w(r) be the first derivative of 4*r + 0*r**3 + 0*r**2 + 0*r**5 + 0*r**4 - 1/30*r**6 + 1 - 1/42*r**7. Let j(z) be the first derivative of w(z). Factor j(q).
-q**4*(q + 1)
Let w(o) = o**2 + 3*o - 11. Let m be w(-11). Let p = -229/3 + m. Solve 2/9*u + 0 + p*u**3 - 2/9*u**4 - 2/3*u**2 = 0 for u.
0, 1
Let r(a) be the third derivative of -a**6/30 + a**4/2 + 4*a**3/3 - 12*a**2. Factor r(x).
-4*(x - 2)*(x + 1)**2
Let c(q) be the third derivative of -q**7/140 + q**6/48 - q**5/120 - q**4/48 + 34*q**2. Let c(r) = 0. Calculate r.
-1/3, 0, 1
Let t be 0 + (1 - (-4 + -1)). Let s be (16/t)/(-4)*-3. Solve x + 7*x**5 + 6*x + 0*x**s - 14*x**3 + 2*x**4 + 2 - 4*x**2 = 0.
-1, -2/7, 1
Let r(m) = m**2 + 3*m + 3. Let d be r(-3). Let w = 8 + -4. Let -34*j**2 - w - 14*j**d + 80*j**2 - 40*j + 12 = 0. Calculate j.
2/7, 1, 2
Let k(f) be the second derivative of -f**7/189 - 7*f**6/135 - f**5/6 - f**4/6 - 13*f. What is i in k(i) = 0?
-3, -1, 0
Let c be -7*(-1)/6 - 14/21. Factor -15/2*d**4 - c - 7/4*d**5 - 10*d**2 - 25/2*d**3 - 15/4*d.
-(d + 1)**4*(7*d + 2)/4
Let b(u) = -3*u. Let c be b(1). Let s be c/(-1) - 4/2. Factor -x - s - 2*x**2 + x + x**2 + 2*x.
-(x - 1)**2
Let a be -2 + 12/(0 - -2). Factor a*p**3 - 6*p**3 + 2*p**3 + 2*p**4.
2*p**4
Factor -3/7 + 3/7*y**2 - 3/7*y + 3/7*y**3.
3*(y - 1)*(y + 1)**2/7
Let x(u) be the first derivative of 0*u - 10/9*u**3 + 25/24*u**4 + 5 + 1/3*u**2. Factor x(z).
z*(5*z - 2)**2/6
Suppose -2*g - 54 = 2*d, -5 + 0 = d. Let y(r) = -r**2 + 8*r + 9. Let j be 4/(-6) - (-4)/(-3). Let f(i) = -i - 1. Let c(n) = g*f(n) + j*y(n). Factor c(v).
2*(v + 1)*(v + 2)
Let o be (4/6)/(2/3). Let k(p) be the first derivative of 1/3*p**3 