0*z**6 - 1/10*z**h + 0*z. Factor l(c).
-3*c*(c + 1)**2*(4*c - 1)
Let t(o) = -o - 2. Let k(d) = -d**2 - 3*d - 10. Let p(c) = k(c) - 5*t(c). Factor p(q).
-q*(q - 2)
Let w = 59 - 56. Let c(a) be the second derivative of -1/18*a**w + 4*a + 1/72*a**4 + 0 + 0*a**2 + 1/12*a**5. Factor c(b).
b*(2*b + 1)*(5*b - 2)/6
Suppose 0 = -2*r - 2*u - 4, -r - 5 - 9 = 4*u. Factor 15*z**r - 9*z**2 - 10*z**2 + 0*z**2.
-4*z**2
Suppose 24*k**4 - 40*k**5 - 48*k**3 - 42*k**5 + 114*k**5 - 36*k**5 + 19*k**2 + 13*k**2 = 0. Calculate k.
0, 2
Suppose 0 = -0*c - 5*c - 5. Let i be -2*(c + 1 + -1). Suppose -4*m**3 + 2*m**4 - 2 + 3*m**i + 3*m - 3*m**2 + m = 0. Calculate m.
-1, 1
Let w(m) be the first derivative of -m**7/1260 - m**6/135 - m**5/45 + 3*m**3 + 5. Let y(k) be the third derivative of w(k). Factor y(l).
-2*l*(l + 2)**2/3
Let n(q) be the second derivative of -1/60*q**5 + 1/6*q**3 - 1/9*q**4 - 29*q + 0 + 3*q**2. Solve n(b) = 0 for b.
-3, 2
Let u(v) be the first derivative of -2*v**5/5 - 4*v**4 - 34*v**3/3 - 10*v**2 - 299. Find b such that u(b) = 0.
-5, -2, -1, 0
Let j be 0*11/66 + -1*(-5)/20. What is v in 1/2 + 1/2*v**3 + 1/2*v**4 - j*v**5 - 1/4*v - v**2 = 0?
-1, 1, 2
Let u(k) be the first derivative of -7*k**4/4 - 4*k**3 - 3*k**2/2 + 2*k - 50. Solve u(i) = 0.
-1, 2/7
Find q, given that 14 - 3/2*q - 1/2*q**2 = 0.
-7, 4
Let w(l) be the second derivative of l**5/30 + 73*l**4/18 + 1295*l**3/9 - 1369*l**2/3 + 131*l. Factor w(r).
2*(r - 1)*(r + 37)**2/3
Let n(c) = -c**3 + 420*c**2 - 6*c + 12. Let m(j) = j**3 + j - 2. Let g(o) = 6*m(o) + n(o). Factor g(r).
5*r**2*(r + 84)
Let h(v) be the second derivative of -5/3*v**3 - 23*v + 2/9*v**4 + 0 - 4/3*v**2. Solve h(w) = 0 for w.
-1/4, 4
Factor 2 + 39*a + a**2 - 43*a + 2.
(a - 2)**2
Let r(j) = j**3 + 7*j**2 - 11*j - 5. Let i be r(-7). Let s be 16/i - (-3)/(-54). Factor -25/6*x**2 - s + 5/3*x.
-(5*x - 1)**2/6
Let s(x) be the first derivative of -7 + 0*x**2 + 5/2*x**4 - x**5 - 5/3*x**3 + 0*x. Factor s(j).
-5*j**2*(j - 1)**2
Let c(s) be the second derivative of s**4/42 - 13*s**3/7 - 172*s**2/7 - 786*s. Factor c(n).
2*(n - 43)*(n + 4)/7
Let q(c) be the third derivative of c**6/3420 - c**5/380 - c**4/57 - 10*c**3/3 + 13*c**2. Let f(o) be the first derivative of q(o). Factor f(i).
2*(i - 4)*(i + 1)/19
Let l(w) be the second derivative of 19*w + 1/18*w**3 + 8/45*w**6 + 1/4*w**4 + 2/5*w**5 + 0*w**2 + 0. Solve l(k) = 0.
-1, -1/4, 0
Let h(f) be the third derivative of 13*f**6/660 + 29*f**5/330 + 19*f**4/132 + f**3/11 - 64*f**2. Factor h(r).
2*(r + 1)**2*(13*r + 3)/11
Let z(m) = 179*m**2 + 1254*m + 9. Let t be z(-7). Factor 18/19*g**t + 0 - 8/19*g + 2/19*g**4 - 12/19*g**3.
2*g*(g - 4)*(g - 1)**2/19
Let k be (7/(-3) + -1)*6/(-5). Suppose -2 - 3*p**3 + 8*p + 2*p + p**3 - k - 2*p**2 = 0. What is p?
-3, 1
Suppose -7*b - 3 = 11. Let q be -2*b/(-36)*10/(-5). Factor 2/3*a**2 - 8/9 - q*a**3 + 0*a.
-2*(a - 2)**2*(a + 1)/9
Suppose -4*l - 3*k + 107 = 0, -k - 6 + 103 = 4*l. Suppose 0 = -18*g + l*g. Solve g + 2/3*d**2 + 2/3*d = 0 for d.
-1, 0
Let n(m) be the third derivative of -m**8/448 - 3*m**7/140 - 13*m**6/160 - 3*m**5/20 - m**4/8 - 4*m**2 - 9. Factor n(w).
-3*w*(w + 1)**2*(w + 2)**2/4
Find c such that 0*c + 2/9*c**5 + 5/3*c**3 + 0 + 0*c**2 + 13/9*c**4 = 0.
-5, -3/2, 0
Suppose -w = 4*z - 4, -5*z - 10 = 10*w - 5*w. Let k(h) be the first derivative of 6 + 1/2*h**3 + 9/2*h - 3*h**z. Factor k(t).
3*(t - 3)*(t - 1)/2
Let y be ((-18)/8)/(2/8). Let c be (-12)/y + (-4)/(-42). Factor 16/7*j - c*j**2 + 8/7.
-2*(j - 2)*(5*j + 2)/7
Let c(v) = 16*v**3 - v**2 - 12*v + 1. Let g(z) = 15*z**3 - 12*z. Let u(s) = -3*c(s) + 4*g(s). Solve u(i) = 0 for i.
-1, -1/4, 1
Let b be 0 - 16/((-6)/3). Factor -y - 3*y**3 + 0*y - b*y + 15*y**2 - 27.
-3*(y - 3)**2*(y + 1)
Let u(w) be the second derivative of 10*w + 7/24*w**3 + 1/80*w**5 + 0 + 3/8*w**2 + 5/48*w**4. Factor u(d).
(d + 1)**2*(d + 3)/4
Let k be (-270)/25 + 5 + 6. Let g(i) be the first derivative of -8 + 2/5*i - k*i**2 + 1/10*i**4 - 2/15*i**3. Find j such that g(j) = 0.
-1, 1
Let v(j) be the first derivative of -1/16*j**4 - 19 - 4*j + 7/12*j**3 - j**2. Let v(h) = 0. What is h?
-1, 4
Let a(w) be the second derivative of 5*w**7/126 + 7*w**6/90 - 13*w**5/60 - 31*w**4/36 - 10*w**3/9 - 2*w**2/3 - 134*w. Solve a(j) = 0 for j.
-1, -2/5, 2
Factor 12*j - 409 + 469 + 6*j**3 - 45*j**2 + 2*j**4 + j**4.
3*(j - 2)**2*(j + 1)*(j + 5)
Let y(f) = 7*f**2 + 500*f + 21164. Let k(p) = 36*p**2 + 2499*p + 105819. Let v(g) = 4*k(g) - 21*y(g). Solve v(i) = 0 for i.
-84
Let d(j) = j**2 - 6*j - 11. Suppose -4*o = 3*c - 32, -2*o - 16 = -4*o - 2*c. Let s be d(o). Solve 2 - s + 3*q**2 - 3 + 3 = 0 for q.
-1, 1
Factor -19/2*z**3 + 0 - 59/2*z**2 - 3*z.
-z*(z + 3)*(19*z + 2)/2
Let b = 151 + -4529/30. Let k(t) be the second derivative of 0 - b*t**3 + 0*t**4 + 0*t**2 + 1/100*t**5 - 2*t. Solve k(z) = 0.
-1, 0, 1
Let s(f) be the third derivative of -f**7/25200 - f**6/7200 + 11*f**4/24 - 22*f**2. Let z(x) be the second derivative of s(x). Factor z(t).
-t*(t + 1)/10
Let n be (-5)/(52/(-12) + 4). Suppose -2*x + 7 + 2 = l, 4*l + x - n = 0. Factor 2*c**5 + 3*c**4 - c**l - c**2 - 2*c**4 - c**3.
c**2*(c - 1)*(c + 1)*(2*c + 1)
Solve -510*c + 35*c**2 + 570*c + 3*c**3 + 2*c**3 = 0 for c.
-4, -3, 0
Suppose 6 = 2*v - 0*v. Suppose -v*u = u - 24. Solve u*m**2 - 3*m**2 - 4 + 3*m**2 + 0*m**3 - 2*m**4 - 2*m + 2*m**3 = 0 for m.
-1, 1, 2
Let o(s) = s**4 - 4*s**3 - 17*s**2 - 12*s - 6. Let q(b) = b**4 - 3*b**3 - 18*b**2 - 14*b - 7. Let k(f) = -7*o(f) + 6*q(f). Determine u so that k(u) = 0.
-1, 0, 11
Let m(z) be the second derivative of 1/48*z**4 + 0*z**2 - 1/12*z**3 + 1/40*z**5 - 1/120*z**6 - 16*z + 0. Suppose m(o) = 0. What is o?
-1, 0, 1, 2
Let j(c) = c + 3. Let q be j(0). Let x be 8/2*(-13 - (-2512)/192). Factor 0 - r**5 - x*r**q + 1/3*r**2 - 5/3*r**4 + 0*r.
-r**2*(r + 1)**2*(3*r - 1)/3
Let f be 45/(-3)*(-2)/(-6). Let m(i) = 2*i**3 + i**2 + 4*i + 2. Let y(t) = -3*t**3 - 2*t**2 - 7*t - 3. Let a(z) = f*m(z) - 3*y(z). Factor a(p).
-(p - 1)**2*(p + 1)
Suppose 10*d - 32 + 2 = 0. Let w be d + ((-15)/(-2))/(-5). Factor -3/2*n - w*n**2 + 3.
-3*(n - 1)*(n + 2)/2
Let k(p) = 13*p**2 + 3*p + 2. Let d be k(-2). Find r, given that 24*r**2 - d*r - 17*r**3 + 7*r**3 + 1 + 58*r - 25*r**4 = 0.
-1, -1/5, 1
Suppose 1 = n - c, 3*n + 4*c - 50 + 40 = 0. Determine z so that 1/2*z**4 - 3/2 + 0*z**3 - 4*z - 3*z**n = 0.
-1, 3
Let b(a) = 2*a**5 - 7*a**4 - 2*a**3 + 19*a**2 - 3. Let m(o) = -3*o**5 + 7*o**4 - 20*o**2 + 4. Let i(y) = 4*b(y) + 3*m(y). Suppose i(z) = 0. Calculate z.
-4, 0, 1
Let w(h) be the first derivative of -7 - 1/28*h**5 - 1/6*h**3 - 1/7*h**2 - 7*h - 1/210*h**6 - 3/28*h**4. Let y(i) be the first derivative of w(i). Factor y(d).
-(d + 1)**3*(d + 2)/7
Suppose -30*p = -33*p + 6. What is l in 25*l**4 - 24*l**3 + 0*l**5 + 3*l**2 - 4*l**5 - 2*l + 10*l**p - 8*l**4 = 0?
0, 1/4, 1, 2
Let s(y) = y**3 - 6*y**2 - 6*y - 4. Let q be s(7). Suppose -q*p + 2*h + 71 = 0, -2*p + 0*p = h - 38. What is u in -1 + 3 + 4 - 27*u**2 + p*u = 0?
-2/9, 1
Let f(w) be the third derivative of -1/70*w**7 + 0*w**4 + 1/10*w**5 + 1/40*w**6 + 15*w**2 + 0*w**3 + 0 + 0*w. Let f(d) = 0. What is d?
-1, 0, 2
Let l(j) be the first derivative of 0*j - 5/3*j**3 + 1/1260*j**6 + 1/21*j**4 + 2 + 0*j**2 - 1/105*j**5. Let w(h) be the third derivative of l(h). Factor w(u).
2*(u - 2)**2/7
Suppose -3*v = -2*d + 4*d - 1, -8 = -5*d - 2*v. Factor -y**5 - 5/3*y**3 + 7/3*y**4 + 0*y + 0 + 1/3*y**d.
-y**2*(y - 1)**2*(3*y - 1)/3
Factor -248/7*m + 2/7*m**2 + 7688/7.
2*(m - 62)**2/7
Let x(a) = -6*a**3 - a**2 + a + 1. Let v be x(-1). Let 4*o + 4*o**3 - 4*o**5 + 0*o**5 - 6*o + 2*o**v = 0. What is o?
-1, 0, 1
Suppose 0*k**2 - 1420 - 6*k**2 + k**3 + k**4 + 1428 - 4*k = 0. Calculate k.
-2, 1, 2
Let c = 93 + -96. Let o be (-3)/(-4)*(-1)/c. Determine v, given that -9/4 - 3/2*v - o*v**2 = 0.
-3
Suppose -4 = 3*j - 5*u, -4*j + 3*j + 3*u = 4. What is v in -2 + j*v - 3*v + 3*v**2 - 2*v**2 = 0?
-1, 2
Suppose -7*n + n = 7*n. Suppose 5*z - b = 13, 0*b + 5*b = -5*z - 5. Solve -4*m + n*m + z + m**2 + m**2 = 0 for m.
1
Let u(f) = f**2 + 11*f - 23. Let o be u(2). Let b(k) be the second derivative of 0 - 1/4*k**o + 8*k - 1/16*k**4 + 0*k**2. Factor b(c).
-3*c*(c + 2)/4
Let t = 2071/3 + -690. Find m, given that 1/3*m**2 + 0*m + 0 - t*m**4 + 0*m**3 = 0.
-1, 0, 1
Let l(o) be