**3 - 7*n**4 - 2*n**3 + 2*n**4 - 3*n**3 - 27*n**2 + 27*n.
3*n*(n - 3)*(n - 1)*(n + 3)
Let q be (-1)/(-6)*(-27)/(-9). Let j be -4 - 5/(10/(-9)). Factor -q*r**4 + 1/2*r**2 - j*r**3 + 0 + 1/2*r.
-r*(r - 1)*(r + 1)**2/2
Solve -37*t**2 + 213*t - 11*t**3 + 74*t**3 + 58 - 3*t**4 + 14 + 244*t**2 + 0*t**4 = 0 for t.
-1, 24
Let x(z) = -z + 1. Let r(m) = -3*m + 15. Let u(h) = -r(h) + 4*x(h). Let a be u(-13). Let -q**a - 1/2*q**3 - 1/2*q + 0 = 0. What is q?
-1, 0
Let i(a) be the second derivative of -4/5*a**2 - 12*a + 0 + 1/3*a**3 - 1/30*a**4. Factor i(d).
-2*(d - 4)*(d - 1)/5
Let m be (-87)/(-12) - (-1 + (-5)/(-4)). Factor -8*g - 5*g**4 + 16*g**3 + 35*g**2 - m*g**4 - 31*g**2.
-4*g*(g - 1)**2*(3*g + 2)
Factor -214*h + 1058*h + 750 + 81*h + 155*h**2 - 25*h**3 - 5*h**4.
-5*(h - 6)*(h + 1)*(h + 5)**2
Let x(s) be the first derivative of 2*s**6/3 + 4*s**5 - 23*s**4/4 + 2*s**3 + 246. Find j, given that x(j) = 0.
-6, 0, 1/2
Let n = -21 - -106/5. Let c(s) be the second derivative of -1/12*s**6 - n*s**5 + 0 + 0*s**2 + 1/6*s**3 - 1/24*s**4 + 5*s. Let c(w) = 0. Calculate w.
-1, 0, 2/5
Let s(d) be the second derivative of -d**6/660 + d**4/44 - 2*d**3/33 - 13*d**2/2 - 14*d. Let b(p) be the first derivative of s(p). Solve b(u) = 0.
-2, 1
Let o be ((-4)/126)/(52/(-91)). Let v(q) be the second derivative of o*q**4 + 0*q**2 - 3*q + 1/60*q**5 + 0 + 1/18*q**3. Suppose v(k) = 0. Calculate k.
-1, 0
Let q = -9 + 11. Determine t, given that 9*t**4 - 4*t**5 - t**4 - 12*t**3 + 2*t**2 + 2*t**q + 4*t**4 = 0.
0, 1
Let i be (-1)/4 + 2*(-175)/(-240)*2. Solve -1/3*x**2 - 7/3 + i*x = 0 for x.
1, 7
Let z = 481 + -281. Find r, given that 200 - z + r**2 - 6*r**2 + 5*r = 0.
0, 1
Let v(o) = -587 - o + 620 - 9*o - o. Let u be v(3). Determine b, given that -4/9 + u*b**2 - 2/3*b + 2/9*b**3 = 0.
-1, 2
Let c be (-1)/(((-37)/(-444))/(2/(-8))). Factor -8*q**4 - 73/2*q**2 - 9/2 + 21*q + 28*q**c.
-(q - 1)**2*(4*q - 3)**2/2
Suppose d + 3*q = -9 - 6, 0 = -4*d - 4*q - 20. Let x = 17/60 - -1/20. Suppose 0*a + d + x*a**2 = 0. Calculate a.
0
Let d = -73 - -87. Let s be (24 - 0)*(-4)/d*-1. Find l, given that -64/7 - 4/7*l**4 + 32/7*l**2 + s*l**3 - 6/7*l**5 - 96/7*l = 0.
-2, -2/3, 2
Let z be 39/(-9)*-1 + 8/12. What is a in -11*a**2 - a**3 + 2*a**4 + 2*a**2 + 0*a**4 + 7*a**2 + a**z = 0?
-2, -1, 0, 1
Suppose -5*n - 32 = -4*l, 71*l + n + 13 = 74*l. What is z in 0*z**2 + 4/13 - 2/13*z**l + 6/13*z = 0?
-1, 2
Suppose -564 = -385*a + 103*a. Factor 1/2*u**a + 1/4 + 3/4*u.
(u + 1)*(2*u + 1)/4
Factor -48/5*i + 27/5*i**2 + 3/5*i**3 - 36.
3*(i - 3)*(i + 2)*(i + 10)/5
Let o = 278/11 + 379/22. Suppose 1125/4*t + 325/2*t**2 + 625/4 + 1/4*t**5 + 21/4*t**4 + o*t**3 = 0. Calculate t.
-5, -1
Let i(g) = -7*g**3 - 19*g**2 - 70*g - 133. Let u(a) = 3*a**3 + 9*a**2 + 36*a + 66. Let s(y) = -6*i(y) - 13*u(y). Factor s(f).
3*(f - 5)*(f + 2)**2
Factor 44/9*d**2 - 16 - 4/9*d**3 - 32/3*d.
-4*(d - 6)**2*(d + 1)/9
Suppose -3*z = j + 29, -4*z + j - 7 = 34. Let o be -2 - z*2/8. Suppose -1 - 3/2*u - o*u**2 = 0. What is u?
-2, -1
Let y(s) = s**2 + 6*s - 14. Let r be y(-8). Suppose -2*q = -3*f + 6, 4 = q + 4*f - r*f. Factor q*m + 0*m**2 + 0 + 1/3*m**3.
m**3/3
Let g(u) = -46*u + 53. Let v be g(1). Let r(d) be the first derivative of 0*d + 1/3*d**3 + v - 1/4*d**4 + 1/2*d**2 - 1/5*d**5. Solve r(j) = 0 for j.
-1, 0, 1
Let a be 30/21 + -4*(-4)/(-12). Let n = a + 8/63. Find i, given that -4/9*i + n*i**5 - 2/3*i**2 + 2/9*i**3 + 2/3*i**4 + 0 = 0.
-2, -1, 0, 1
Suppose -3*w + 17 = -4*m, 2*m - w + 3*w + 12 = 0. Let o(n) = n**3 + 5*n**2 - n - 1. Let u be o(m). Solve u*r**5 - 15*r**4 + 17*r**5 - r**3 - 5*r**3 = 0.
-2/7, 0, 1
Suppose -640 = -5*z + 4*i, z - 4*i - 62 = 66. Let q = z + -638/5. Factor -4/5 - q*n**3 + 6/5*n + 0*n**2.
-2*(n - 1)**2*(n + 2)/5
Let b(s) = -5*s**2 - 7*s + 5. Let w(u) = -2*u**2 - 2*u + 2. Let q be (-2)/4*(-5 + -9). Let z(d) = q*w(d) - 2*b(d). Determine n, given that z(n) = 0.
-1, 1
Let l(x) = -3*x**3 - 37*x**2 - 64*x - 17. Let p(d) = -3*d**2 + d + 1. Let b(g) = 5*l(g) - 5*p(g). Factor b(j).
-5*(j + 2)*(j + 9)*(3*j + 1)
Let a(l) be the first derivative of l**6/30 + l**5/12 - 7*l**4/18 - 10*l**3/9 + 4*l**2/3 + 19*l - 12. Let p(c) be the first derivative of a(c). Factor p(q).
(q - 2)*(q + 2)**2*(3*q - 1)/3
Let i(a) be the second derivative of 0 - 1/4*a**5 - 10/3*a**3 + 0*a**2 + 22*a + 25/12*a**4. Factor i(h).
-5*h*(h - 4)*(h - 1)
Let r(c) be the third derivative of -c**4/12 + c**3/6 + c**2. Let m be r(-1). Determine g so that 3*g**2 + g**3 + 2*g**3 - 7*g + 0*g - m + 4*g = 0.
-1, 1
Let u(g) be the first derivative of -2*g**5/75 + 11*g**4/15 - 94*g**3/15 + 44*g**2/3 - 40*g/3 - 79. Solve u(d) = 0.
1, 10
Let a(w) be the third derivative of 10/3*w**3 + 0 + 289/12*w**5 + 16*w**2 + 0*w + 85/6*w**4. Factor a(l).
5*(17*l + 2)**2
Let n = -8008 + 8010. Suppose 0 - 16/7*j - 450/7*j**4 - 152/7*j**n - 460/7*j**3 = 0. Calculate j.
-2/5, -2/9, 0
Let x be 13/8*1*-58. Let i = x + 95. Factor y**2 - 1/4 - i*y.
(y - 1)*(4*y + 1)/4
Suppose 7*m = 5*m + 3*u + 33, -3*u - 69 = -5*m. Suppose j = -5*l - 18, 0 = -3*l - m. Factor 22/5*p**j + 4/5*p + 0.
2*p*(11*p + 2)/5
Let z(b) = b**3 - 14*b**2 - b + 14. Let j be z(14). Suppose -3*d = 5*q - 0*d - 15, j = 3*q + 5*d - 25. Factor 2/3*o**5 + 2/3*o - 4/3*o**3 + 0 + q*o**2 + 0*o**4.
2*o*(o - 1)**2*(o + 1)**2/3
Suppose -4/7*t**4 - 159014000/7*t - 3440/7*t**3 - 8547002500/7 - 1109400/7*t**2 = 0. Calculate t.
-215
Let j(i) be the first derivative of 1/35*i**5 - 1/28*i**4 + 0*i + 44 + 0*i**2 + 0*i**3. Factor j(y).
y**3*(y - 1)/7
Let j(v) = 5*v**2 - 2*v - 4. Let i(q) = -6*q**2 + 3*q + 5. Suppose 7 + 5 = 3*m. Let h(n) = m*i(n) + 5*j(n). Let h(a) = 0. Calculate a.
-2, 0
Let l(x) be the third derivative of x**5/240 - x**4/16 - 2*x**3/3 + 118*x**2 + x. Factor l(i).
(i - 8)*(i + 2)/4
Let r = -66515/4 - -16630. Determine f so that r*f + 3/2 + 1/4*f**2 = 0.
-3, -2
Let x(r) = 177143*r**2 + 2916*r + 28. Let t(c) = c**2 - 4. Let p(g) = 4*t(g) + x(g). Factor p(j).
3*(243*j + 2)**2
Suppose 31*c + 1095 = 26*c. Let j = -219 - c. Factor j - 6/5*o**2 - 3/5*o**3 - 3/5*o.
-3*o*(o + 1)**2/5
Let g(f) be the first derivative of 2/3*f**3 + 5 + 4*f**2 - 10*f. Factor g(x).
2*(x - 1)*(x + 5)
Let p(s) = s**2 - 7*s + 4. Let q be p(7). Suppose x + 3 = q*x. Let z(a) = 1. Let m(n) = -4*n**2 - 4*n + 12. Let c(g) = x*m(g) - 4*z(g). Factor c(f).
-4*(f - 1)*(f + 2)
Let p(g) be the first derivative of -2*g**3/27 - 19*g**2/9 + 44*g/3 + 149. Let p(z) = 0. Calculate z.
-22, 3
Suppose -c + 4*c + 4*q = 25, -4*q + 28 = 4*c. Let d(n) be the third derivative of 0*n - 7*n**2 - 1/18*n**4 + 0*n**c - 1/90*n**5 + 0. Factor d(p).
-2*p*(p + 2)/3
Let r(f) be the first derivative of 2*f**3/15 - 34*f**2/5 - 102. Factor r(b).
2*b*(b - 34)/5
Let b be (-365)/(-35) - (-3)/(-7). Let h be (4/b)/(57/1520). Factor 16/3*i - 2/3*i**2 - h.
-2*(i - 4)**2/3
Let q(s) be the second derivative of s**4/90 - 2*s**3/45 - s - 3. Solve q(d) = 0 for d.
0, 2
Let f(h) be the third derivative of -h**8/80640 + h**7/4032 - h**6/480 + h**5/2 + 8*h**2. Let s(q) be the third derivative of f(q). Factor s(r).
-(r - 3)*(r - 2)/4
Let j(d) be the third derivative of -d**5/90 + 47*d**4/18 + 20*d**2 - 6. Find m such that j(m) = 0.
0, 94
Factor 515*v**3 - 517*v**3 + 35*v**2 - 9*v**2 + v - v.
-2*v**2*(v - 13)
Let u(k) be the third derivative of -1/120*k**6 + 21*k**2 + 0*k + 1/6*k**5 - 25/24*k**4 + 0*k**3 + 0. Factor u(f).
-f*(f - 5)**2
Solve 96*t + 135*t - 4*t**2 + 89*t = 0.
0, 80
Let c(v) be the third derivative of -v**5/420 - v**4/56 - v**3/21 - 3*v**2 - 38. Factor c(n).
-(n + 1)*(n + 2)/7
Let l(r) be the second derivative of r**4/3 + 44*r**3/3 + 242*r**2 + 75*r. Factor l(g).
4*(g + 11)**2
Let w(f) = -161*f + 1130. Let j be w(7). Factor -12*b - 1/4*b**3 + j*b**2 + 16.
-(b - 4)**3/4
Let h = 784 + -87805/112. Let k(z) be the third derivative of 0*z**3 + h*z**8 - 1/4*z**5 - 3*z**2 + 1/12*z**4 + 0*z - 11/70*z**7 + 0 + 37/120*z**6. Factor k(o).
o*(o - 2)*(o - 1)*(3*o - 1)**2
Suppose 0 = 4*r + c, r = -0*r + 3*c + 13. Let o(u) = 10*u**2 + 22*u + 12. Let s(y) = -y**2 + 1. Let z(p) = r*o(p) - 4*s(p). Find x such that z(x) = 0.
-1, -4/7
Let z(a) be the first derivative of 2*a**5/15 + 53*a**4/6 - 2*a**3/9 - 53*a**2/3 - 437. Factor z(y).
2*y*(y - 1)*(y + 1)*(y + 53)/3
Let a(p) = -p**3 - p**2 + p. Let v be a(-3). Suppose 0 =