 + 1 = 9. Let s(g) be the third derivative of 0*g + 0*g**3 + 1/180*g**5 + 0*g**6 - 1/144*g**j + 1/2016*g**8 + 0 - 1/630*g**7 - 2*g**2. Factor s(a).
a*(a - 1)**3*(a + 1)/6
Let q = 32857/5 + -6571. Factor 0*d**2 + 0*d + 0 + q*d**3 - 2/5*d**4.
-2*d**3*(d - 1)/5
Let m be 20/(-4) - (12/6 + -7). Let n(a) be the third derivative of 1/30*a**5 + 0 + 0*a**3 - 3*a**2 - 1/30*a**4 + m*a. Factor n(h).
2*h*(5*h - 2)/5
Let a(l) be the first derivative of 0*l**3 + 1/210*l**5 + l**2 + 0*l + 2 + 1/42*l**4. Let f(q) be the second derivative of a(q). Factor f(n).
2*n*(n + 2)/7
Let -24*w - 4*w**5 + 0*w**2 + w**2 + 11*w**2 - 23*w**2 + 28*w**3 + 4*w**4 + 7*w**2 = 0. Calculate w.
-2, -1, 0, 1, 3
Let k be ((-6)/24 + (-66)/(-184))*-2. Let h = k - -61/69. Determine b so that h*b**2 + 4/9 - 10/9*b = 0.
2/3, 1
Let j(p) be the first derivative of -p**5/300 - p**4/60 - p**3/30 + 2*p**2 - 11. Let o(u) be the second derivative of j(u). Factor o(m).
-(m + 1)**2/5
Suppose 0*o = 2*h - o - 12, -20 = -h + 4*o. Suppose -5*n - h = 3*c - 0*c, -n = -3*c + 8. Factor 1/2*j - 1/2*j**3 + 1 - j**c.
-(j - 1)*(j + 1)*(j + 2)/2
Let h(u) be the second derivative of 1/10*u**5 - 29*u + 1/3*u**3 + 2/3*u**4 + 0 - 6*u**2. Factor h(p).
2*(p - 1)*(p + 2)*(p + 3)
Let n be (-9)/30 + (-79)/(-30). Factor 2 - 13/3*j - 26/3*j**2 - n*j**3.
-(j + 1)*(j + 3)*(7*j - 2)/3
Let c(y) be the second derivative of -1/90*y**5 + 0 - 1/9*y**4 - 8/9*y**2 - 4/9*y**3 - 7*y. Factor c(g).
-2*(g + 2)**3/9
Let q(m) = 31*m**2 + 28*m - 8. Let i(l) = 12 - 19*l - 35*l**2 - 23*l - 11*l**2. Let u(p) = 5*i(p) + 8*q(p). Factor u(z).
2*(z + 1)*(9*z - 2)
Let p(w) be the third derivative of -w**8/8064 - w**7/2016 + w**6/144 - w**5/20 + 3*w**2. Let h(d) be the third derivative of p(d). Factor h(c).
-5*(c - 1)*(c + 2)/2
Let m(t) be the third derivative of -t**9/90720 - t**8/10080 - t**7/2520 - t**6/1080 - t**5/10 - 13*t**2. Let i(r) be the third derivative of m(r). Factor i(u).
-2*(u + 1)**3/3
Suppose -2*b + 2 = -2*q + 3*q, 4*b = 0. Suppose -3*z = 4*h + 20, -q*z - 10 = 3*h - h. Factor 0*w - 6*w**2 + 4*w - 6*w**2 + z*w + 8.
-4*(w - 1)*(3*w + 2)
Suppose -2*c + 4 = -2. Factor -2*t + 4*t**4 + 12*t**2 - t + 2*t - 3*t - 12*t**c.
4*t*(t - 1)**3
Let d be ((20/(-3))/(-2))/((-24)/(-36)). Suppose 3*c = 1 + 8. Determine w, given that w**2 - c*w**d - 6*w**3 - w**2 - 6*w**2 + 15*w**3 = 0.
-2, 0, 1
Factor -40/13*n + 2/13*n**2 + 200/13.
2*(n - 10)**2/13
Let t(z) be the second derivative of 2*z**6/15 + 6*z**5/5 + 3*z**4 + 8*z**3/3 - 85*z. Factor t(c).
4*c*(c + 1)**2*(c + 4)
Let r(z) = -2*z**2 + 126*z - 1559. Let v be r(17). Suppose 1944/5*a**4 - 556/5*a**2 - 184/5*a + 54*a**3 - 16/5 - 1458/5*a**v = 0. Calculate a.
-2/9, 1
Factor 4*j**2 + 28*j**2 + 31*j**2 + 9*j**3 - 62*j + 3*j**3 - 13*j**3.
-j*(j - 62)*(j - 1)
Suppose 0 = -2*r + r + 2. Let u be 12/(-24) - 2/(-4). Factor 4*y + u - 3 - 6*y + y**r.
(y - 3)*(y + 1)
Suppose -2*r = r - 36. Factor 20 + 4*n**2 - 61 + 25 - r*n.
4*(n - 4)*(n + 1)
Suppose 12 + 12 = 6*x. Determine v, given that x*v**2 + 24*v + 9*v + 33*v - 27*v - 10 = 0.
-10, 1/4
Let a(b) = 25*b**3 - 3*b**2 + 20*b - 6. Let n(c) = 21*c**3 - 4*c**2 + 20*c - 5. Let l(u) = 5*a(u) - 6*n(u). Suppose l(t) = 0. What is t?
0, 4, 5
Let j(p) be the second derivative of 3*p**5/20 + 63*p**4/4 - 32*p**3 - p + 107. Factor j(d).
3*d*(d - 1)*(d + 64)
Determine r so that 396*r**2 - 53*r**3 + 3 + 307*r**3 - 232*r - 553*r**4 + 29 - 147*r**5 = 0.
-4, -1, 2/7, 2/3
Suppose -v + 4*v = 0, v = 2*u - 4. Let q(t) = -t**3 + t**2 - t. Let j(c) = -4*c**3 + 4*c**2 + 2*c. Let y(w) = u*q(w) - j(w). Factor y(a).
2*a*(a - 2)*(a + 1)
Let t(j) = 2*j**3 - 3*j**2 + j + 1. Let q be t(2). Let a be (-7)/49 - (0 - 4/q). Factor -a*c**2 - 3/7 + 6/7*c.
-3*(c - 1)**2/7
Let b(q) = -2*q**4 - 18*q**3 - 10*q**2 + 82*q - 52. Let d(s) = s**3 - s**2 - s + 1. Let t(m) = -2*b(m) - 4*d(m). Factor t(z).
4*(z - 1)**2*(z + 5)**2
Let q be (5/(-4))/((-6)/24). Let x(y) be the third derivative of 1/210*y**7 + 1/30*y**q + 0*y + y**2 + 0 - 1/40*y**6 + 0*y**3 + 0*y**4. Factor x(j).
j**2*(j - 2)*(j - 1)
Suppose -58*r + 324 - 320 + 8*r**3 - 2*r**2 - r**5 - 2*r**4 + 51*r = 0. Calculate r.
-4, -1, 1
Determine z so that 80*z**2 - 27*z**3 + 62*z**3 - 10*z**4 + 65*z**3 - 15*z**5 - 30*z**4 = 0.
-4, -2/3, 0, 2
Let w be (-18)/(-648) + 1/18*4. Let t(a) be the first derivative of 1/18*a**3 + 2 - w*a**2 + 1/3*a. Factor t(i).
(i - 2)*(i - 1)/6
Factor -2/7*v**2 - 6962/7 - 236/7*v.
-2*(v + 59)**2/7
Let t(u) = -16*u**3 - 134*u**2 - 294*u - 208. Let k(s) = s**4 + s**3 + s**2 - s. Let q(b) = 2*k(b) + t(b). Factor q(i).
2*(i - 13)*(i + 2)**3
Suppose z = 33 - 29. Find x such that 3 + 151*x**z + 72*x - 20*x**2 - 25*x**4 - 162*x**3 - 19 = 0.
-2/3, 2/7, 2/3, 1
Let m = -6 + 21. Determine l, given that -62*l - 5*l**2 - m + 111*l - 69*l = 0.
-3, -1
Let u = -27407/5 + 5483. Find c, given that -2*c**4 - 4/5*c**5 - u*c**3 + 0 + 0*c - 2/5*c**2 = 0.
-1, -1/2, 0
Let a(d) be the third derivative of 0 - 11/6*d**4 - d - 1/30*d**5 - d**2 - 121/3*d**3. Let a(s) = 0. What is s?
-11
Let w = -1 - 0. Let h = w - -5. Find p, given that h*p**3 - 3*p**3 - 6*p**2 - 4*p - 3*p**3 = 0.
-2, -1, 0
Let t = -4 + 14. Let b be (2 - 6)/(t + -11). Solve -p**2 - 6*p**2 + 5*p**2 - 2*p**3 - p**3 - p**b = 0.
-2, -1, 0
Factor 4*g**2 + 28/5 + 4/5*g**3 - 52/5*g.
4*(g - 1)**2*(g + 7)/5
Let w = 12 - 5. Suppose t = -5*s + 16, -3*s + 6*s = 2*t + w. Factor l + 9*l - 4*l + s*l**2.
3*l*(l + 2)
Suppose -5*x - 3*w - 2*w - 25 = 0, -20 = 4*w. Suppose -2*a + x*a + 6 = 0. Factor -2*b**4 + 3*b**2 + 2*b**a - b - b - b**2.
-2*b*(b - 1)**2*(b + 1)
Factor -5*l + 1/3*l**3 - 8/3 - 2*l**2.
(l - 8)*(l + 1)**2/3
Let a(j) be the second derivative of -27*j**5/80 + 23*j**4/4 - 5*j**3/2 + 89*j + 1. Factor a(f).
-3*f*(f - 10)*(9*f - 2)/4
Let z = 117 - 97. Factor 476 + 5*q**2 + 475 + z*q - 976.
5*(q - 1)*(q + 5)
Let p(x) be the second derivative of x**6/96 - x**5/48 - 5*x**4/96 + 5*x**3/24 + 2*x**2 + 5*x. Let b(s) be the first derivative of p(s). Factor b(g).
5*(g - 1)**2*(g + 1)/4
Let d(u) = 5*u**2 + 3*u + 2. Let p be d(-1). Suppose p*o - 4*j - 24 = 0, 0 = -4*o + 3*j + 2*j + 27. Factor 4/5*f**2 + 0*f + 0 - 2/5*f**o.
-2*f**2*(f - 2)/5
Suppose -200 - 45*j**2 + 292*j - 26*j**2 + 2*j**2 + 5*j**2 - 24*j**2 - 4*j**3 = 0. Calculate j.
-25, 1, 2
Suppose -6*f = -3*d - f - 13, 2*d = -5*f + 33. Find i, given that -4/13 + 4/13*i**2 + 6/13*i + 0*i**d - 8/13*i**3 + 2/13*i**5 = 0.
-2, -1, 1
Let f(z) be the first derivative of -z**3/9 - 244*z**2/3 - 59536*z/3 - 222. What is x in f(x) = 0?
-244
Let h(q) be the first derivative of -2*q**5/5 - 8*q**4 - 42*q**3 + 16*q**2 + 128*q - 76. Solve h(v) = 0 for v.
-8, -1, 1
Suppose 0 = 5*f + 5*u - 445, f + 3*u = -0*u + 89. Let g = f - 265/3. Factor 2/3*c**3 + 4/3*c**2 + 0 + g*c.
2*c*(c + 1)**2/3
Let -48/5*k**2 - 48/5 - 12/5*k**3 - 3/5*k**5 + 96/5*k + 3*k**4 = 0. What is k?
-2, 1, 2
Let q(z) be the second derivative of -z**6/240 + 19*z**4/96 + z**3/8 - 9*z**2/2 - 88*z. Solve q(k) = 0 for k.
-3, 2, 4
Suppose 5*y + 7 = -v, y = 3*v - 3*y - 17. Factor -32 - 272*j**2 + 216*j - 39*j**3 - 64*j**2 - 55*j**v - 4*j**3.
-2*(j + 4)*(7*j - 2)**2
Let l(v) be the second derivative of 0 + 4*v**2 + 15*v - 143/20*v**5 - 121/6*v**6 + 59/2*v**4 - 50/3*v**3. What is m in l(m) = 0?
-1, 2/11, 2/5
Let w(q) be the second derivative of 5*q**4/12 - 17*q**3/6 - 6*q**2 - 4*q + 8. Determine t so that w(t) = 0.
-3/5, 4
Factor 164*i - 130 - 5*i**2 + 62*i - 91*i.
-5*(i - 26)*(i - 1)
Let j(g) = -g + 1. Let f(v) = -2*v**2 - 22*v - 12. Let u(o) = f(o) - 4*j(o). Factor u(c).
-2*(c + 1)*(c + 8)
Let u(l) be the first derivative of -4*l**3/3 - 6*l**2 + 16*l + 77. Find w such that u(w) = 0.
-4, 1
Let c(u) = -4*u**2 + 34*u + 96. Let q(t) = -5*t**2 + 32*t + 102. Let f(d) = -3*c(d) + 2*q(d). Factor f(v).
2*(v - 21)*(v + 2)
Let 20*h**3 + 2*h**4 - 2*h**5 - 7504*h**2 - 48*h + 7512*h**2 - 4*h**4 = 0. What is h?
-3, -2, 0, 2
Let m be 3*(1 + 5 + 0). Suppose -10*u = -26*u - 16*u. Factor -11*j + m*j**4 + 42*j**3 + 19*j + u*j**4 + 32*j**2.
2*j*(j + 1)*(3*j + 2)**2
Let b(p) be the first derivative of -34/3*p**2 - 16/3*p + 2*p**3 - 12. Factor b(l).
2*(l - 4)*(9*l + 2)/3
Let z(n) be the third derivative of -n**8/112 - 4*n**7/35 - 9*n**6/20 - 4*n**5/5 - 5*n**4/8 - 32*n**2. Factor z(g).
-3*g*(g + 1)**3*(g + 5)
Let f(i) be the first derivat