0*m**2 - 1338. Factor o(t).
-5*t*(t - 56)**2*(t - 3)
Let t be ((-24)/36)/(2/(-381)). Find j, given that t*j**4 - 297*j**4 - 36*j + 24 + 3*j**5 + 33*j**3 - 6*j**2 + 152*j**4 = 0.
-1, 1, 2
Let m(t) be the first derivative of 2*t**6/3 - 364*t**5/5 + 2364*t**4 - 11968*t**3/3 - 739840*t**2 - 2829888*t - 11148. Factor m(h).
4*(h - 34)**3*(h + 2)*(h + 9)
Let r(n) = -1690*n**3 - 2415*n**2 - 1055*n - 155. Let b(u) = -141*u**3 - 201*u**2 - 88*u - 13. Let p(v) = -35*b(v) + 3*r(v). Factor p(l).
-5*(l + 1)*(3*l + 1)*(9*l + 2)
Factor -363/2*u**3 + 1/4*u**5 + 307461/4*u - 1449459/4 - 6655/2*u**2 + 33/4*u**4.
(u - 11)**3*(u + 33)**2/4
Determine h so that 1/3*h**5 + 0 - 31/3*h**3 + 10*h - 1/3*h**2 + 1/3*h**4 = 0.
-6, -1, 0, 1, 5
Let j(s) = s**3 - 42*s**2 - 42*s - 41. Let v = -219 + 262. Let u be j(v). Factor 25/2 + 1/2*w**u - 5*w.
(w - 5)**2/2
Let o(l) be the second derivative of l**6/180 + 3*l**5/40 + 25*l**4/72 + 3*l**3/4 + 5*l**2/6 + 98*l. Factor o(w).
(w + 1)**2*(w + 2)*(w + 5)/6
Let 0*o**2 + 11/3*o - 10/3*o**3 - 1/3*o**5 + 2 - 2*o**4 = 0. Calculate o.
-3, -2, -1, 1
Let s(r) be the second derivative of -1/1440*r**6 + 5*r + 0 - 1/480*r**5 + 0*r**2 + 2/3*r**3 + 0*r**4. Let y(f) be the second derivative of s(f). Factor y(z).
-z*(z + 1)/4
Let a = 3879/7 + -3875/7. Find m, given that 0 + 0*m - 8/7*m**4 + 8/7*m**2 + a*m**5 - 4/7*m**3 = 0.
-1, 0, 1, 2
Let h(c) be the first derivative of c**5/20 + 21*c**4/4 - 44*c**3 + 134*c**2 - 180*c - 1537. Factor h(l).
(l - 2)**3*(l + 90)/4
Let c(y) be the first derivative of y**5/15 + 21*y**4/4 + 20*y**3/3 - 62*y**2/3 - 3794. Factor c(q).
q*(q - 1)*(q + 2)*(q + 62)/3
Let y be (2 - 0 - (14 + 285/(-19))) + (-18)/(-4). Factor -1/2*g**4 + 0*g - y*g**3 - 7*g**2 + 0.
-g**2*(g + 1)*(g + 14)/2
Let q(w) = -w**2 + 12377. Let u be q(0). Let y = 13834 + -1457. Factor u + s**4 - y - s**3.
s**3*(s - 1)
Let r(q) = -4*q**4 + 167*q**3 + 1285*q**2 - 3130*q - 19. Let k(z) = z**4 - 42*z**3 - 321*z**2 + 782*z + 5. Let i(x) = -38*k(x) - 10*r(x). Factor i(d).
2*d*(d - 44)*(d - 2)*(d + 9)
Suppose 5*y = -2*v - 3*v, -y + v = 4. Let p be 30*y/36*-15. Factor -64*j + 22*j + j + 10*j**2 - p - 4*j.
5*(j - 5)*(2*j + 1)
Solve 205*d**2 - 336*d**5 - 100*d - 343*d**5 - 377*d**5 - 145*d**4 - 33 - 27 + 60*d**3 + 1096*d**5 = 0 for d.
-1, -3/8, 1, 2
Let y be 0*((-13690)/(-1265) + -11 - (-26)/299). Solve 2/9*j**2 + 0*j + y - 2/3*j**4 + 4/9*j**3 = 0 for j.
-1/3, 0, 1
Let v be (1592/144 + -11)*(15 - 0)*2. Let b(n) be the third derivative of -v*n**4 + 1/12*n**5 + 40/3*n**3 + 0 + 0*n - 18*n**2. Factor b(t).
5*(t - 4)**2
Let n be 1/(-2*(0 - 4)/176). Let b = n + -18. Suppose 2*a**5 + 4*a**b + 3*a**2 - 4*a + 2*a**3 + 3*a**2 - 6*a**4 - 4*a**4 = 0. Calculate a.
-1, 0, 1, 2
Factor -17416802/7 - 2/7*n**2 + 11804/7*n.
-2*(n - 2951)**2/7
Suppose 2*r + 4*a + 1 = 17, -2*r + 2*a = 2. Let c(m) = -5*m**2 + 4*m**2 - 4*m**r. Let z(h) = -h**3 + 4*h**2. Let y(u) = -3*c(u) - 4*z(u). Factor y(s).
s**2*(4*s - 1)
Suppose -695 = -28*l + 33. Let 28*u + 2*u**2 + l - 5*u + 0*u**2 + 5*u = 0. Calculate u.
-13, -1
Let i(u) = 6*u**3 + 1414*u**2 + 80272*u - 26908. Let w(q) = -12*q**3 - 2834*q**2 - 160544*q + 53815. Let b(z) = 9*i(z) + 4*w(z). Let b(o) = 0. Calculate o.
-116, 1/3
Let s = 550 - 490. Let -277*x**2 - 2*x**4 + 276 + 10*x**4 - 2*x**4 - 3*x**4 + 12*x + 70*x**2 + s*x**3 = 0. What is x?
-23, -1, 2
Let y be (4/2)/(-2)*(-11)/990. Let p(j) be the third derivative of 24*j**2 + y*j**5 + 0 + 8/9*j**3 + 0*j - 1/6*j**4. What is s in p(s) = 0?
2, 4
Let h(x) be the first derivative of 24/5*x**5 + 32*x**3 + 0*x - 10*x**2 + 100 + 35*x**4. Factor h(j).
4*j*(j + 1)*(j + 5)*(6*j - 1)
Let i(f) = 15*f**2 + 1518*f - 1101. Let k(g) = 6*g**2 + 607*g - 439. Let d(j) = 5*i(j) - 13*k(j). Factor d(h).
-(h + 101)*(3*h - 2)
Let v(m) be the second derivative of m**6/35 - 87*m**5/70 - m**4/14 + 29*m**3/7 - 101*m + 30. Factor v(d).
6*d*(d - 29)*(d - 1)*(d + 1)/7
Suppose -25 + 4 = -4*p + m, 4*p - 5*m - 9 = 0. Find r, given that 3*r**2 + 437 - p*r**2 - 467 + 21*r = 0.
2, 5
Let c(b) be the third derivative of -5*b**4/12 + 46*b**3/3 + 58*b**2. Let v be c(9). Factor -3/2*p**3 + 3*p**v - 3/2*p + 0.
-3*p*(p - 1)**2/2
Let v(h) = -h**3 - 6*h**2 - 4*h + 9. Let a = -101 + 96. Let p be v(a). Factor 20*l**2 + p*l**2 + 2*l**2 + 4*l**2 + 85*l + 25.
5*(2*l + 5)*(3*l + 1)
Let a(d) = 12*d**2 - 34*d - 46. Let r be a(4). Let u(p) be the first derivative of 1/3*p**5 + 0*p - 1/18*p**6 - 3/4*p**4 - 1/3*p**2 + r + 7/9*p**3. Factor u(y).
-y*(y - 2)*(y - 1)**3/3
Let -1672/7*r + 2904/7 - 1138/7*r**2 - 92/7*r**3 - 2/7*r**4 = 0. Calculate r.
-22, -3, 1
Suppose 0 = 2*a + 2*z - 8, 740 - 748 = -2*z. Factor a*g + 0 - 3/4*g**3 - 3/8*g**4 - 3/8*g**2.
-3*g**2*(g + 1)**2/8
Let l(d) = -d**3 + 5*d**2 - 3*d - 2. Let t be l(4). Let k be 8/6 - (-11)/66. Solve -1 + 1/2*y**3 - k*y + 0*y**t = 0.
-1, 2
Let p(o) = o**3 + 12*o**2 - 17*o - 29. Let a be p(-14). Let u be a/(-12) + 3/(-12). Factor -16*k + 50*k + k**3 - 20*k - u*k.
k*(k - 1)*(k + 1)
Let t(z) be the second derivative of z**4/54 - 1391*z**3/27 + 1390*z**2/9 - 2*z - 3622. Factor t(r).
2*(r - 1390)*(r - 1)/9
Let z(m) be the second derivative of -3/7*m**3 - 1/147*m**7 + 2 - 5/21*m**4 + 17*m + 1/105*m**6 + 9/7*m**2 + 1/7*m**5. Find b, given that z(b) = 0.
-3, -1, 1, 3
Let s(z) be the first derivative of -z**6/30 - 3*z**5/5 - 11*z**4/6 + 14*z**3 + 10*z**2 - z + 176. Let w(u) be the second derivative of s(u). Factor w(p).
-4*(p - 1)*(p + 3)*(p + 7)
Let 0 - 52/5*u**3 + 161*u**2 - 3174/5*u + 1/5*u**4 = 0. Calculate u.
0, 6, 23
Let a be (273/(-270) + 1)/((-1760)/660). Let z(j) be the third derivative of 0 - 1/48*j**4 + 0*j - a*j**5 + 20*j**2 + 1/8*j**3. Find p, given that z(p) = 0.
-3, 1
Let s(r) be the first derivative of 4*r**5/15 + 8*r**4/3 - 40*r**3/9 - 16*r**2/3 + 12*r + 398. Determine h, given that s(h) = 0.
-9, -1, 1
Let q(a) be the first derivative of a**6/40 + a**5 + 13*a**4/8 - a**3/3 - 13*a**2 - 87. Let u(f) be the third derivative of q(f). Determine h so that u(h) = 0.
-13, -1/3
Let g = 2209/151970 + -8/1169. Let c(a) be the third derivative of 0*a**4 - 1/780*a**6 - g*a**5 + 0 + 11*a**2 + 0*a**3 + 0*a. Find m such that c(m) = 0.
-3, 0
Let z(k) be the third derivative of -21*k**2 - 1/24*k**6 - 13/4*k**5 - 845/8*k**4 + 1 + 0*k - 10985/6*k**3. Factor z(b).
-5*(b + 13)**3
Let m be (-167)/((-52605)/18630) + -58. Factor -6/7*l**2 + 24/7 + 2/7*l**3 - m*l.
2*(l - 3)*(l - 2)*(l + 2)/7
Let x(t) be the third derivative of -t**8/672 + 11*t**7/210 - 13*t**6/40 + 14*t**5/15 - 73*t**4/48 + 3*t**3/2 + 781*t**2. Factor x(n).
-(n - 18)*(n - 1)**4/2
Solve -2/3*p**4 + 44 - 10/3*p - 30*p**2 - 10*p**3 = 0.
-11, -3, -2, 1
Suppose -530*p = -524*p + 11106. Let u = p - -1853. Suppose u*h + 2/5*h**2 + 12/5 = 0. Calculate h.
-3, -2
Let s(k) be the third derivative of 0*k + 1/390*k**5 + 67*k**2 + 1/39*k**4 + 4/39*k**3 + 0. Let s(n) = 0. Calculate n.
-2
Let a(d) be the second derivative of d**4/18 - 14*d**3/9 + 15*d**2 + 25*d - 7. Factor a(q).
2*(q - 9)*(q - 5)/3
Let j = 394 + -386. Suppose -b + 9 = 3*c - 0*b, b = 2*c - 1. Factor -11*t**c + 21*t**2 - 2*t - j*t**2.
2*t*(t - 1)
Let k be ((-625551)/(-105) - -2) + -21*(-730)/(-10731). Factor -k - 93/5*x**2 - 1/5*x**3 - 2883/5*x.
-(x + 31)**3/5
Suppose 11*l = 32 - 10. Determine r so that 4*r + 9*r**l - 2*r**4 - 19*r - 19*r - 39*r**2 + 32 + 34*r**3 = 0.
-1, 1, 16
Let u(z) be the third derivative of -z**8/96 - 43*z**7/35 - 2323*z**6/240 - 531*z**5/20 - 205*z**4/12 + 46*z**3 + 2474*z**2. Determine s, given that u(s) = 0.
-69, -2, -1, 2/7
Let s(m) be the first derivative of -m**6/120 - m**5/60 + m**4/12 - m**2 - 11*m - 34. Let l(j) be the second derivative of s(j). Solve l(t) = 0.
-2, 0, 1
Let f(a) be the second derivative of 13/10*a**2 - 1/60*a**4 - 2/5*a**3 - a - 60. Suppose f(s) = 0. Calculate s.
-13, 1
Let j = 103 - 109. Let u(x) = x**3 - 165*x**2 + 1677*x - 803. Let t(f) = -3*f**3 + 661*f**2 - 6707*f + 3213. Let a(s) = j*t(s) - 26*u(s). Factor a(l).
-4*(l - 20)**2*(2*l - 1)
Let k(d) be the first derivative of 1 + 3*d - 1/48*d**4 - 1/8*d**3 - 1/4*d**2. Let g(u) be the first derivative of k(u). Suppose g(v) = 0. What is v?
-2, -1
Let a(g) be the second derivative of 0*g**2 + 0 - 1/294*g**7 + 5/21*g**4 + 1/6*g**3 + 9/70*g**5 + 2/105*g**6 + 36*g. Factor a(x).
-x*(x - 7)*(x + 1)**3/7
Let 