) be the first derivative of -t - 3/4*x**2 + 3/4*x**4 + 1/2*x**3 + 0*x. Factor i(a).
3*a*(a + 1)*(2*a - 1)/2
Suppose -3*d + 3*r + 14 = r, d = -r + 8. Factor d*a + a + a**2 - 5*a + 1.
(a + 1)**2
Let k(l) = l**3 - 25*l**2 + 23*l + 26. Let s be k(24). Solve -10/9*p**s - 8/9 + 2*p**4 - 8/3*p**3 + 8/3*p = 0.
-1, 2/3, 1
Let d(q) be the second derivative of q**7/273 + 2*q**6/195 - q**4/39 - q**3/39 - 11*q. Factor d(o).
2*o*(o - 1)*(o + 1)**3/13
Let m(r) = 14*r**2 - 7*r**2 - 24*r - 6*r**3 + 2*r**3 - 6 + 8*r. Let y(l) = -l**3 + 2*l**2 - 5*l - 2. Let z(i) = 4*m(i) - 14*y(i). Factor z(b).
-2*(b - 2)*(b + 1)**2
Let x be (0 - 0)*(-2)/4. Let f be (-1 + (4 - 2))*(-4)/(-6). Factor f*z**5 + x*z**3 + 0 + 4/3*z**4 - 2/3*z - 4/3*z**2.
2*z*(z - 1)*(z + 1)**3/3
Determine o, given that -210 + 4*o**2 - o**4 + 210 = 0.
-2, 0, 2
Let w(x) be the second derivative of 2*x**6/15 + x**5/5 + 15*x. Factor w(c).
4*c**3*(c + 1)
Suppose 15*x - 18 = 6*x. Factor 1/3 - 2/3*y**3 + 2/3*y + 0*y**x - 1/3*y**4.
-(y - 1)*(y + 1)**3/3
Let b be (25/50)/((-10)/(-32)). Factor 8/5*y + b + 2/5*y**2.
2*(y + 2)**2/5
Factor 131*g**4 - 3*g**5 - 5*g**3 + 2*g**3 - 137*g**4.
-3*g**3*(g + 1)**2
Factor 8*n**4 - 5*n**5 + n**3 + 4*n**3 - 4*n**2 - n**2 - 3*n**4.
-5*n**2*(n - 1)**2*(n + 1)
Let u(z) be the first derivative of -z**6/3 + 2*z**4 + 4*z**3/3 - 3*z**2 - 4*z - 49. Let u(i) = 0. What is i?
-1, 1, 2
Let z(p) be the second derivative of p**5/30 + 7*p**4/18 + 5*p**3/3 + 3*p**2 + 4*p + 5. Factor z(f).
2*(f + 1)*(f + 3)**2/3
Suppose -3*c - 12 + 17*c - 3*c + 4*c**2 - 3*c = 0. What is c?
-3, 1
Let n(o) be the first derivative of -4/11*o + 3/11*o**2 - 2 - 2/33*o**3. Find q, given that n(q) = 0.
1, 2
Factor -5*b**4 + 6*b**3 + 7*b**4 - 18*b**3 + 18*b**2 + 0*b**4.
2*b**2*(b - 3)**2
Let l(n) = n**2 - n - 2. Let a be l(5). Solve 4*k**2 - 12 - 6 + 4*k + a + k**3 = 0.
-2, 0
Let h be 2/10 - 5/(50/(-33)). Suppose h*j - 7/2*j**3 - j**2 + 1 = 0. Calculate j.
-1, -2/7, 1
Let b be (7 - 2504/360)/(2/10). Factor b*i**4 + 4/9*i**3 - 2/9 + 0*i**2 - 4/9*i.
2*(i - 1)*(i + 1)**3/9
Let r be (-3)/2*8/(-6). Let a be 6/(-14)*(-21)/r. Determine p, given that 1/2*p**4 + 1 - 7/2*p - 5/2*p**3 + a*p**2 = 0.
1, 2
Let h(p) be the third derivative of p**11/1164240 - p**10/529200 - p**5/20 - 2*p**2. Let z(n) be the third derivative of h(n). Factor z(f).
2*f**4*(f - 1)/7
Let p(d) be the third derivative of -3*d**6/40 - d**5/30 + 5*d**2. Determine f, given that p(f) = 0.
-2/9, 0
Let d be (-4)/(-20) - 64/(-5). Factor 7*n + 0 - d*n**2 + 31*n**2 + 77*n - 69*n**3 - 24 + 21*n**4.
3*(n - 2)**2*(n + 1)*(7*n - 2)
Let j(l) be the second derivative of -l**5/10 - l**4/2 - 2*l**3/3 - l. Find r, given that j(r) = 0.
-2, -1, 0
Suppose 24*q + 11*q - 70 = 0. Factor -8/5 - 24/5*y - q*y**2.
-2*(y + 2)*(5*y + 2)/5
Determine n, given that 5/4*n**5 + 0 - 1/2*n - 11/4*n**2 + 11/4*n**4 - 3/4*n**3 = 0.
-2, -1, -1/5, 0, 1
Let i(o) = -13*o**4 + 6*o**3 + 4*o**2 - 6. Let f be 1/5 + (-29)/(-5). Let t(l) = l**4 + l**3 + 1. Let h(p) = f*t(p) + i(p). Find m, given that h(m) = 0.
-2/7, 0, 2
Let y = -782/5 + 157. Factor 0 - 3/5*x**2 - y*x.
-3*x*(x + 1)/5
Suppose 2*r - 38 = -4*k - 10, k = -4*r + 21. Factor -16/3*h - r - 4/3*h**2.
-4*(h + 1)*(h + 3)/3
Suppose 216 + 152 = -4*t. Let o be (-4)/14 + t/(-126). Factor 0 + 2/9*i + 2/9*i**3 + o*i**2.
2*i*(i + 1)**2/9
Let r be 2 - (-1 - 2 - -3). Determine i, given that -3*i**2 - 6*i + 3 + 4*i**2 + r*i**2 = 0.
1
Let y(d) = 51*d**3 + 111*d**2 + 90*d + 30. Let m(x) = 5*x**3 + 11*x**2 + 9*x + 3. Let f(z) = 21*m(z) - 2*y(z). Solve f(u) = 0.
-1
Let h(j) be the third derivative of 4*j**7/105 + 3*j**6/20 + j**5/5 + j**4/12 + 18*j**2. Solve h(b) = 0.
-1, -1/4, 0
Let o(j) = 5*j - 2. Let a(v) = -11*v + 3. Let q(x) = 4*a(x) + 9*o(x). Let z be q(8). Solve 0 + 4/7*f - 2/7*f**z = 0.
0, 2
Let w(c) = -c**2 - 5*c. Let m(y) = y**2 + 6*y + 1. Let i(u) = -3*m(u) - 4*w(u). Factor i(p).
(p - 1)*(p + 3)
Let q(v) be the second derivative of v**5/50 - v**4/6 + 7*v**3/15 - 3*v**2/5 + 6*v - 6. Determine r so that q(r) = 0.
1, 3
Suppose -3*a + 12 = 3*a. Factor 0 - 2/5*s**3 + 0*s + 2/5*s**a.
-2*s**2*(s - 1)/5
Let u(w) be the second derivative of -w**6/6 - w**5/4 + 5*w**4/4 + 5*w**3/6 - 5*w**2 + 6*w. Solve u(d) = 0 for d.
-2, -1, 1
Factor -2/15*l**2 - 32/15 - 16/15*l.
-2*(l + 4)**2/15
Let h(x) = -x**2 + 7*x. Let c be h(6). What is v in -6*v**2 - 2*v**3 + 6 + 8*v**3 + 9*v**3 - 21*v + c*v**3 = 0?
-1, 2/7, 1
What is u in 6/5*u - 18/5*u**3 + 0 - 33/5*u**2 = 0?
-2, 0, 1/6
Let x = -91 - -93. Factor -3/2 + 15/4*t + 3/4*t**3 - 3*t**x.
3*(t - 2)*(t - 1)**2/4
Let l(f) be the third derivative of 0*f + 0*f**3 - 1/180*f**5 + 0 - 5*f**2 + 0*f**4. Factor l(g).
-g**2/3
Let t(q) = -1. Let m(w) = w**3 + 3*w**2 - 8. Let o(y) = m(y) - 4*t(y). Suppose o(h) = 0. Calculate h.
-2, 1
Find s, given that 0 + 22/5*s**2 - 28/5*s**3 - 4/5*s = 0.
0, 2/7, 1/2
Let x(u) be the third derivative of -u**9/120960 + u**8/13440 - u**6/360 - u**5/60 + 4*u**2. Let t(v) be the third derivative of x(v). Factor t(y).
-(y - 2)**2*(y + 1)/2
Factor 0*j + 2/11*j**2 + 0 - 2/11*j**3.
-2*j**2*(j - 1)/11
Let x(f) be the third derivative of f**8/336 + f**7/210 - f**6/120 - f**5/60 + 9*f**2. Factor x(d).
d**2*(d - 1)*(d + 1)**2
Let a = 16/15 - 49/60. Solve -1/4*c**2 + 0 + a*c = 0.
0, 1
Let w be 2/(-4) - (-18)/(-12). Let j be w/(-3) - 158/(-6). Factor 33*l**3 + 3*l + 1 - j*l**2 - 18*l**4 + 6*l**4 - 3 + 5.
-3*(l - 1)**3*(4*l + 1)
Let z(f) be the third derivative of -f**6/140 - f**5/70 + 5*f**4/28 - 3*f**3/7 + 68*f**2. Solve z(x) = 0 for x.
-3, 1
Let d = -20 - -24. Suppose 0 = -0*n + 2*n - d*z + 4, n + 2*z = 2. Find m, given that 2/5*m**3 + 0 + n*m - 4/5*m**2 = 0.
0, 2
Let h(b) = -2*b - 9. Let d be h(-6). Suppose 0 = 2*c - 3*c - 2*u + 2, c = d*u - 3. Factor -3 + 7 + 4*r + 2*r**2 - r**2 + c.
(r + 2)**2
Let h(z) be the first derivative of z + 0*z**2 - 1/36*z**4 - 3 + 1/90*z**6 + 1/60*z**5 - 1/18*z**3. Let f(j) be the first derivative of h(j). Factor f(p).
p*(p - 1)*(p + 1)**2/3
Let u(i) = 6*i**2 + 14*i + 18. Let t(x) = 31*x**2 + 69*x + 91. Let k(w) = 2*t(w) - 11*u(w). Factor k(b).
-4*(b + 2)**2
Let w be -2*(21/(-360))/7. Let j(r) be the second derivative of w*r**6 + 1/24*r**4 + 1/20*r**5 - r + 0*r**2 + 0 + 0*r**3. Solve j(s) = 0 for s.
-1, 0
Let t be 8/10*((-5)/(-2) + 0). Let s(j) be the second derivative of -1/24*j**4 + 1/40*j**5 + 1/4*j**2 + 0 + t*j - 1/12*j**3. Find q, given that s(q) = 0.
-1, 1
Let q(g) be the third derivative of 0*g**6 - 1/840*g**7 + 1/240*g**5 + 2*g**2 + 0 + 0*g**3 + 0*g + 0*g**4. Factor q(u).
-u**2*(u - 1)*(u + 1)/4
Suppose -5*o + 1 - 26 = 0, -2*g + 8 = -4*o. Let z be (-1)/9 + g/(-6). Factor -16/9*c + z - 22/9*c**2 - 2/3*c**3.
-2*(c + 2)**2*(3*c - 1)/9
Factor -24*r - 6 + 15*r**3 + 15*r**4 - 9*r**2 + 3*r + 6*r**3.
3*(r - 1)*(r + 1)**2*(5*r + 2)
Let s(b) = -b**3 - 2*b**2 - 4*b - 3. Let c = -1 - 1. Let i be s(c). Determine l, given that 7*l**3 + 1 - i*l**2 - l + 2*l - 4*l**3 = 0.
-1/3, 1
Determine h so that 0 + 192/5*h + 3/5*h**3 - 48/5*h**2 = 0.
0, 8
Let o(z) = -21*z**5 - 72*z**4 + 57*z**3 - 18*z**2 - 18*z. Let q(m) = m**5 + m**4 + m**2 + m. Let w(b) = o(b) + 18*q(b). Factor w(n).
-3*n**3*(n - 1)*(n + 19)
Let b(g) = g**3 - 17*g**2 - 20*g + 38. Let x be b(18). Find o such that 0*o**x - 3/7*o**3 + 3/7*o + 0 = 0.
-1, 0, 1
Let r = -198 - -1786/9. Let o be 5*1*(-4)/(-30). Let 2/9 - o*p**2 + r*p = 0. Calculate p.
-1/3, 1
Let w be (-8)/16 + 18/20. Let y be (0/(4/2))/(-2). Factor 0 - 2/5*q**4 + y*q + 0*q**2 + w*q**3.
-2*q**3*(q - 1)/5
Let p(i) = 2*i - 1. Let q be p(4). Let s be (3/q)/((-12)/(-8)). Factor -4/7*l + 2/7*l**2 + s.
2*(l - 1)**2/7
Suppose 0 = -3*q - 3*u + 9, q + 3*u = -2*u - 9. Suppose -2*v = -q*v. Let 1/4*r**2 + 0*r + v + 1/4*r**3 = 0. Calculate r.
-1, 0
Suppose -4*w + 18 = a, -4*a = -w - 0*w - 4. Factor 9/5*d**a + 0*d + 3/5*d**3 + 0.
3*d**2*(d + 3)/5
Let w = 47/14 - 20/7. Factor 1/4*a**5 - 1/4*a**3 + 0 + 1/2*a**2 - w*a**4 + 0*a.
a**2*(a - 2)*(a - 1)*(a + 1)/4
Let p(a) be the first derivative of 3 + 0*a + 1/6*a**3 + 1/2*a**2. Factor p(i).
i*(i + 2)/2
Let f(x) be the third derivative of -x**8/840 + x**7/525 + x**6/300 - x**5/150 - 6*x**2. Factor f(o).
-2*o**2*(o - 1)**2*(o + 1)/5
Let r(f) = -3*f**4 - 3*f**3 - f**2 + f + 2. Let u(n) = 16*n**4 + 16*n**3 + 6*n**2 - 5*n - 11. Let c(t) = 33*r(t) + 6