 z be (-45)/(-105)*14/2. Let l(u) be the first derivative of 0*u + 0*u**2 + 1/6*u**4 + 1 + 4/9*u**z - 2/15*u**5. Factor l(q).
-2*q**2*(q - 2)*(q + 1)/3
Suppose -2*v = 2*a + a - 3, 4*a = -v + 9. Suppose a*x - 9*x + 18 = 0. Factor -2*s**x - 1/2*s**4 + 2 - 3/2*s**2 + 2*s.
-(s - 1)*(s + 1)*(s + 2)**2/2
Find q, given that 9/2*q**3 + 6*q + 12*q**2 + 0 - 3*q**4 - 3/2*q**5 = 0.
-2, -1, 0, 2
Let l(o) be the first derivative of -8*o + 44/3*o**3 - 10*o**2 - 8 - 4*o**4. Factor l(x).
-4*(x - 2)*(x - 1)*(4*x + 1)
Let x = -7260/259 - -1830/37. Solve -30/7*p**2 + x*p + 2/7*p**3 - 250/7 = 0 for p.
5
Let h(u) be the third derivative of -u**5/60 - 3*u**4/8 - 5*u**3/6 - u**2. Let t be h(-8). Factor -2*w**2 + 5*w**3 + 6*w**2 - 2*w**5 + 2*w**3 - w**t.
-2*w**2*(w - 2)*(w + 1)**2
Let i(b) be the first derivative of b**6/6 + 7*b**5/5 + 5*b**4/4 - 7*b**3/3 - 3*b**2 + 527. Factor i(x).
x*(x - 1)*(x + 1)**2*(x + 6)
Factor -1485 + 741 + 744 - 3*d**3.
-3*d**3
Suppose -y + 8 = 2. Determine k, given that -7*k**5 + 6*k**2 + y*k**2 + 4*k**5 - 9*k**4 = 0.
-2, 0, 1
Let n = -3092 - -1079107/349. Let k = 2087/2443 - n. Let 2/7*p + 6/7*p**3 + k*p**2 + 2/7*p**4 + 0 = 0. What is p?
-1, 0
Let x(i) be the third derivative of i**5/105 + 5*i**4/21 - 22*i**3/21 - 6*i**2 - i. Factor x(m).
4*(m - 1)*(m + 11)/7
Let x(d) = -44*d**4 + 114*d**3 + 98*d**2 - 62*d - 54. Let q(g) = -5*g**4 + 13*g**3 + 11*g**2 - 7*g - 6. Let w(i) = -52*q(i) + 6*x(i). Factor w(u).
-4*(u - 3)*(u - 1)*(u + 1)**2
Let j = -82 + 84. Determine b so that -j*b**4 - 86*b + 6*b**2 + 168*b - 86*b = 0.
-2, 0, 1
Suppose -4*l = -2*l - 4. Let v(g) be the third derivative of 0*g**3 - 1/336*g**8 + 0*g + 1/180*g**5 + g**l + 0*g**4 + 1/90*g**7 - 1/72*g**6 + 0. Factor v(t).
-t**2*(t - 1)**2*(3*t - 1)/3
Let x = 5 + 3. Let v(h) = h**2 - 6*h - 8. Let f be v(x). Factor 4*k**2 + 9 - f*k - 4*k - k**2 + 3.
3*(k - 2)**2
Let p = 5596/3 - 42466/21. Let g = -156 - p. Factor -2/7*z**3 + 2/7*z + 6/7 - g*z**2.
-2*(z - 1)*(z + 1)*(z + 3)/7
Suppose 2*a - 1 = w + 3*a, -5*a - 25 = -5*w. Let n(u) be the third derivative of 0*u + 0*u**3 + 7*u**w + 1/360*u**5 + 0 + 0*u**4. Solve n(k) = 0 for k.
0
Let s(z) be the second derivative of -z**7/42 + 5*z**6/9 - 31*z**5/60 - 4*z**4/9 + 90*z - 4. Determine u so that s(u) = 0.
-1/3, 0, 1, 16
Let h = 59 - 65. Let u be (-8)/22*3/(h/2). Let 0 - u*s + 2/11*s**2 = 0. What is s?
0, 2
Let m = -48 - -52. Let d be (6 + -6)*2/m. Factor 1/2*x**3 + d + 1/2*x**2 + 0*x.
x**2*(x + 1)/2
Let v(m) be the second derivative of -1/4*m**2 - 1/4*m**4 - 11/24*m**3 + 0 + 1/30*m**6 + 17*m + 1/80*m**5. Find f, given that v(f) = 0.
-1, -1/4, 2
Let p = -1181221/148580 - -1/14858. Let a = -27/4 - p. Factor -2/5*j**3 + a*j**2 + 0 - 4/5*j.
-2*j*(j - 2)*(j - 1)/5
Let p(o) be the third derivative of o**10/1058400 - o**8/20160 - o**7/5880 - 23*o**5/60 + 34*o**2. Let t(m) be the third derivative of p(m). Factor t(r).
r*(r - 3)*(r + 1)*(r + 2)/7
Find r such that 27/2*r - 1/4*r**2 - 729/4 = 0.
27
Let n(u) be the first derivative of -5*u**3/3 + 20*u**2 - 60*u - 283. Let n(d) = 0. Calculate d.
2, 6
Let z = 36 + -81. Let a be z/21 + (-4)/(20/(-15)). Find j, given that 18/7*j + 4/7 + a*j**2 - 8/7*j**3 = 0.
-1, -1/4, 2
Factor -1/7*i**3 + 3/7*i**2 + 0*i + 0.
-i**2*(i - 3)/7
Factor -2 - 2*y**2 - 164/9*y.
-2*(y + 9)*(9*y + 1)/9
Let y(q) be the first derivative of -q**5/5 + q**3/3 - 7*q**2/2 + 11. Let m(p) = -4*p**4 - 4*p + p**2 + 3*p**4 - p. Let d(u) = 7*m(u) - 5*y(u). Factor d(w).
-2*w**2*(w - 1)*(w + 1)
Let c(k) be the first derivative of 16/9*k**3 - 8*k + 2/3*k**2 + 1/3*k**4 - 18. Factor c(l).
4*(l - 1)*(l + 2)*(l + 3)/3
Let p = 1174/2601 - 2/289. Let a be 2/8 + (-45)/(-108). Solve a - 2/9*i**2 - p*i = 0 for i.
-3, 1
Factor 2/9*f**2 - 2/3*f - 8/9.
2*(f - 4)*(f + 1)/9
Let r(g) = 4*g**3 - 4*g**2 - 6*g - 2. Let v(a) = 0*a + 2 + 7*a - 5*a**3 + 1 + 4*a**2 - a. Let d(y) = -3*r(y) - 2*v(y). Determine t, given that d(t) = 0.
-1, 0, 3
Let u(y) be the third derivative of -1/210*y**5 + 0*y**3 + 0 + 6*y**2 + 0*y**4 + 0*y - 1/1470*y**7 - 1/280*y**6. Factor u(l).
-l**2*(l + 1)*(l + 2)/7
Suppose 34*c - 20 = 82. Factor -5/3*q**c + 0 - 5/3*q + 10/3*q**2.
-5*q*(q - 1)**2/3
Let q(p) be the third derivative of -p**6/105 - 39*p**5/70 + 13*p**4/12 + 10*p**3/7 - 549*p**2. Let q(h) = 0. Calculate h.
-30, -1/4, 1
Let l(o) be the first derivative of o**4 - 16*o**3/3 + 176. Find w such that l(w) = 0.
0, 4
Let i(q) be the second derivative of q**5/15 + q**4/3 - q**2/2 + 28*q. Let z(j) be the first derivative of i(j). Factor z(x).
4*x*(x + 2)
Let c(t) be the first derivative of t**3/3 - t + 64. Suppose 2*k + 2 + 0 = 0. Let f(a) = -4*a**3 + 6*a**2 + 4*a - 6. Let b(z) = k*f(z) + 2*c(z). Factor b(l).
4*(l - 1)**2*(l + 1)
Suppose q + 6 = 5. Let v be q/((-4)/(-6) - 2). Solve 0*s + 0*s**2 - 9/4*s**4 + 3*s**5 + 0 - v*s**3 = 0 for s.
-1/4, 0, 1
Let i = 1850 + -9246/5. Find p, given that 4*p + 12/5 + i*p**2 - 4/5*p**3 = 0.
-1, 3
Let c = -2/18281 + 18299/164529. What is o in c*o**3 + 2/3*o**2 + 8/9*o + 0 = 0?
-4, -2, 0
Suppose 0 = -6*c + c + 20. What is n in -2*n + 79*n**5 + 2*n**3 - c*n + 5*n - 80*n**5 = 0?
-1, 0, 1
Let b(p) be the third derivative of 1/8*p**4 + 0*p**3 + 2*p**2 + 0*p**5 - 1/40*p**6 + 0 + 0*p. Factor b(f).
-3*f*(f - 1)*(f + 1)
Let m(k) be the first derivative of -k**4/18 + 370*k**3/27 - 8648*k**2/9 + 16928*k/9 - 498. Factor m(q).
-2*(q - 92)**2*(q - 1)/9
Let g(i) be the third derivative of 0 + 0*i - 1/120*i**5 + 0*i**3 + 1/24*i**4 - 4*i**2. Factor g(d).
-d*(d - 2)/2
Let i(q) be the second derivative of -q**6/15 - 4*q**5/5 - 5*q**4/2 + 4*q**3/3 + 20*q**2 - 5*q + 19. Factor i(j).
-2*(j - 1)*(j + 2)**2*(j + 5)
Suppose 0 = -5*n + 2*q + 38, -n + 2 = -0*n + q. Let -17*o**2 - o**2 - 12*o**3 - 9*o - 3*o**2 + n*o**3 = 0. Calculate o.
-3, -1/2, 0
Let n(m) be the third derivative of m**7/1680 - m**6/720 - m**5/240 + m**4/48 - 2*m**3/3 + 24*m**2. Let l(b) be the first derivative of n(b). Factor l(g).
(g - 1)**2*(g + 1)/2
Let t(p) be the first derivative of 2*p**7/945 - 2*p**6/135 + 4*p**5/135 - 8*p**2 + 15. Let s(g) be the second derivative of t(g). Solve s(c) = 0 for c.
0, 2
Let j(l) be the second derivative of -81/7*l**3 - 1/70*l**5 - 9/14*l**4 + 0 - 27*l - 729/7*l**2. Factor j(f).
-2*(f + 9)**3/7
Suppose -4*s + 33 = 5*i, 25 = 3*i + 2*s + 3*s. Factor 6*r**3 - i*r**3 + 3*r**3 + 12*r**2.
4*r**2*(r + 3)
Let j be (4 + 70/(-25))/(4/(-10)). Let o be (-2 - j - 0) + 190/6. Determine c, given that -238/3*c**3 + 12*c**2 + o*c**4 + 88/3*c + 16/3 = 0.
-2/7, 1, 2
Let 2184*i**2 + 162*i**3 - 16*i**4 - 2187 + i**4 + 18*i**4 - 162*i = 0. What is i?
-27, -1, 1
What is y in -2*y**2 + 16/5 - 2/5*y**3 - 4/5*y = 0?
-4, -2, 1
Let b(y) be the third derivative of -y**5/510 - 11*y**4/51 - 43*y**3/51 + 45*y**2. Factor b(i).
-2*(i + 1)*(i + 43)/17
Factor 12/5*h + 3/5*h**4 - 3/5*h**3 + 0 - 12/5*h**2.
3*h*(h - 2)*(h - 1)*(h + 2)/5
Let u(f) be the first derivative of 10*f**3/9 - 52*f**2/3 + 40*f/3 - 78. Factor u(o).
2*(o - 10)*(5*o - 2)/3
Let m(w) be the first derivative of 8 - 1/40*w**4 + 1/100*w**5 - 3*w**2 + 0*w - 1/5*w**3. Let r(b) be the second derivative of m(b). Let r(g) = 0. What is g?
-1, 2
Let z be (-16)/(-8 + 4) + 32/(-1). Let m(h) = h**2. Let u(g) = -8*g**2 + 10*g + 11. Let o(r) = z*m(r) - 4*u(r). Solve o(w) = 0.
-1, 11
Factor -3 + 1 + 1 + u**2 - 2*u + 3 - 1.
(u - 1)**2
Let a(d) = -42*d**3 - 689*d**2 - 680*d + 11. Let m(q) = 8*q**3 + 138*q**2 + 136*q - 2. Let x(i) = 2*a(i) + 11*m(i). Determine r, given that x(r) = 0.
-34, -1, 0
Let l(p) be the first derivative of p**4/14 - 4*p**3/21 - 4*p**2/7 + 16*p/7 - 11. What is j in l(j) = 0?
-2, 2
Let m(b) be the first derivative of 0*b - 12*b**2 + 9 + 52/3*b**3 + 5*b**4. Factor m(p).
4*p*(p + 3)*(5*p - 2)
Let c(d) = 3*d - 15. Let f be c(6). Suppose 0 = 4*b + j - 5*j - 24, -4*j = f*b + 10. Factor s**2 - 2*s - 3*s**b - s**2 + 1 + 4*s**2.
(s - 1)**2
Let i(w) be the first derivative of -w**2 + 14 + 1/9*w**3 + 3*w. Factor i(t).
(t - 3)**2/3
Let o(d) be the second derivative of d**4/3 + 20*d**3/3 + 50*d**2 - 14*d + 4. Factor o(j).
4*(j + 5)**2
Factor 7056/5 + 1848/5*y - 159/5*y**2 + 3/5*y**3.
3*(y - 28)**2*(y + 3)/5
Factor 0*y + 10*y**3 - 6*y**4 + 0 + 2/3*y**5 - 14/3*y**2.
2*y**2*(y - 7)*(y - 1)**2/3
Let k(d) = -d**3 - 2*d**2 + 17*d + 10. Let y be k(-5). Factor 0*a - 3/