*f**2 - 16*f + 282. Suppose j(u) = 0. Calculate u.
-4, -1
Let r(j) be the second derivative of -j**6/180 - 2*j**5/3 - 100*j**4/3 - 29*j**3/2 + 59*j. Let u(o) be the second derivative of r(o). Factor u(x).
-2*(x + 20)**2
Suppose -2136*c - 72 = -2148*c. Let i(y) be the third derivative of 1/480*y**c + 0*y**4 + 0 - 4*y**2 + 0*y + 0*y**3 - 1/30*y**5. Factor i(l).
l**2*(l - 8)/4
Let a(h) be the third derivative of -h**5/45 + 13*h**4/18 + 1540*h**3/9 - 5905*h**2 + h + 1. Solve a(o) = 0 for o.
-22, 35
Let n = 79682/17031 + -68/5677. Factor 0 + 1/3*a**2 + n*a.
a*(a + 14)/3
Suppose 10*u = 454 - 2464. Let h = u + 611/3. Let 20/3*i**3 + h + 12*i**2 + 4/3*i**4 + 28/3*i = 0. Calculate i.
-2, -1
Suppose 20 - 5*c**5 + 12889*c**3 + 5*c**2 + 21*c - 12924*c**3 + 43*c - 25*c**4 - 24*c = 0. What is c?
-2, -1, 1
Let w be (-145)/2*(-112)/70. Suppose -5*m - 4*q + w = 0, -12 = -q - 2*q. Determine d, given that -4*d**4 + 0*d**4 + m*d**2 + 9*d**4 - 20*d**3 = 0.
0, 2
Let n = -339/4 + 1049/12. Let v(j) be the second derivative of -4/5*j**5 - 8*j - n*j**3 - 2*j**4 - 2/15*j**6 + 0 - 2*j**2. Factor v(d).
-4*(d + 1)**4
Let o(h) be the first derivative of -h**4/4 + 2*h**3 + h**2 - 2*h - 3. Let r be o(6). Factor -4*k**2 + 4*k + 0*k - r*k**4 + 14*k**4 - 4*k**3.
4*k*(k - 1)**2*(k + 1)
Let y(d) be the second derivative of -d**6/15 - 2*d**5/5 + 14*d**4/3 - 32*d**3/3 - 1563*d. Factor y(m).
-2*m*(m - 2)**2*(m + 8)
Let x(f) be the third derivative of f**7/56 + f**6/15 + 3*f**5/40 + 173*f**3/6 - 126*f**2. Let w(n) be the first derivative of x(n). Factor w(r).
3*r*(r + 1)*(5*r + 3)
Suppose -5*h + 10 = 0, -2*k + 1405 = -5*h - 707. Find j, given that -1840*j - 1715*j**5 - 70 - 90 + k*j**3 - 14221*j**3 - 4219*j**4 - 7600*j**2 - 4111*j**4 = 0.
-2, -2/7
Let r(f) be the first derivative of 17*f**4/16 - 151*f**3/12 + 59*f**2/4 + 4*f - 9343. Let r(n) = 0. What is n?
-2/17, 1, 8
Let w be (-36)/24*(-80)/60. Let s(u) be the first derivative of 2/21*u**3 - 1 - 1/7*u**w + 0*u. What is n in s(n) = 0?
0, 1
Let x = -48 + 51. Suppose -2*h + 10 = 4*k - 0*k, 4*k = 5*h + x. Factor -80 - 37*u - 52*u - 11*u - 5*u**3 - 40*u**k.
-5*(u + 2)**2*(u + 4)
Let n(k) = k**3 - 45*k**2 + 2*k - 82. Let g be n(45). Solve 8*h + h**4 + 4*h - g - 4*h**2 + 2*h**2 + h**3 - 4*h**3 = 0.
-2, 1, 2
Let 776/5*a - 1704/5*a**4 + 4042/5*a**3 - 3096/5*a**2 - 18/5*a**5 + 0 = 0. What is a?
-97, 0, 2/3, 1
Suppose -344*f - 400 = -476*f + 260. Find q such that -16/5*q**3 - 1/5*q**f + 0*q**2 + 0*q + 0 - 2*q**4 = 0.
-8, -2, 0
Let 1365/2*i**2 + 0 - 3/2*i**4 + 0*i + 87*i**3 = 0. Calculate i.
-7, 0, 65
Let n(r) be the second derivative of 0*r**3 - 2/5*r**5 + 12*r + 0*r**2 - 2/15*r**6 + 0 + 8/3*r**4. Factor n(f).
-4*f**2*(f - 2)*(f + 4)
Let f = -344/15 - -346/15. Let s(n) be the first derivative of 4/5*n**2 + 8/5*n + f*n**3 + 11. Let s(v) = 0. Calculate v.
-2
Let b be 14/(-10)*(1 + 218/(-3)). Let p = b + -100. What is o in 0 - 1/3*o - p*o**3 + 2/3*o**2 = 0?
0, 1
Find x such that 2/5*x**3 - 68 - 56/5*x**2 + 394/5*x = 0.
1, 10, 17
Suppose -4*b = -4*s - 32, -4*b + 4*s = -s - 36. Let x = 9750 - 29246/3. Factor 4/3*z**4 + 0 - x*z + 4*z**2 - b*z**3.
4*z*(z - 1)**3/3
Let q(p) = 135*p + 11 - 143*p + 5 + 0. Let a be q(2). Factor a + 1/4*c + c**2.
c*(4*c + 1)/4
Let s(v) be the third derivative of 11/48*v**5 + 0*v + v**2 - 1/168*v**7 + 1/24*v**6 + 0*v**3 + 6 + 5/16*v**4. Suppose s(x) = 0. Calculate x.
-1, 0, 6
Let g = -29559 - -147801/5. Solve -3/5*b**4 - 6/5*b**3 - 9/5 + 12/5*b**2 + g*b = 0.
-3, -1, 1
Let b(o) be the first derivative of o**5/20 - 9*o**4/8 + 15*o**3/4 + 37*o**2/2 + 21*o - 2375. Solve b(j) = 0.
-1, 6, 14
Let f be (30/4)/((-2)/(-3804)). Factor -14253*x**2 - 20*x + f*x**2 + 10 - x**3 - x.
-(x - 10)*(x - 1)**2
Let m = -2506/5 - -506. Factor 2*t - 4/5*t**4 + 0 - 2/5*t**5 + m*t**3 - 28/5*t**2.
-2*t*(t - 1)**3*(t + 5)/5
Let t(p) = 3*p + 29. Let h = 37 + -46. Let a be t(h). Determine l so that 424*l + 2*l**a - l**4 - 1 - 424*l = 0.
-1, 1
Let z = 122855 - 122853. Factor 26/3*y**z - 2/3*y**3 + 0*y + 0.
-2*y**2*(y - 13)/3
Let p = -295012 + 1180327/4. Find b, given that -3/4*b**3 + p*b**2 - 8649/4*b + 89373/4 = 0.
31
Determine u so that 36*u**2 - 22*u**3 - 54 + 14/3*u**4 - 1/3*u**5 + 9*u = 0.
-1, 3, 6
Determine a, given that 4*a**2 - 7200*a + 1284034 + 211322 + 1777204 - 32560 = 0.
900
Let h(b) be the third derivative of b**6/24 - 59*b**5/6 + 17405*b**4/24 + 83*b**2 + 2. Solve h(s) = 0 for s.
0, 59
Let c(x) be the second derivative of 5*x**7/273 - 14*x**6/195 + x**5/10 - 2*x**4/39 + 548*x. Factor c(g).
2*g**2*(g - 1)**2*(5*g - 4)/13
Suppose 0 = -5*l + 20 - 5. Let i be 2/l*-3 - -6. What is k in 3*k**2 - 5*k**2 - 12*k - 6*k**2 + i*k**2 = 0?
-3, 0
Factor 0 - 4/13*o - 2/13*o**3 + 6/13*o**2.
-2*o*(o - 2)*(o - 1)/13
Suppose 3*v - 3*w = -6, -3*v - 62*w = -63*w - 2. Let m(r) be the second derivative of 41*r + 8*r**v - 1/6*r**4 + 0 - 7/3*r**3. Factor m(j).
-2*(j - 1)*(j + 8)
Let j(l) = -l**3 + 5*l**2 - 1924*l + 5756. Let u be j(3). Find n such that 39*n**u - 25/4*n**4 - 23*n - 55/4*n**3 + 4 = 0.
-4, 2/5, 1
Let f = -308 + 383. Suppose -3*d = -f*d. Find t such that -2/19*t**4 + 12/19*t**2 + 0 - 2/19*t**3 + d*t = 0.
-3, 0, 2
Solve -330*k**2 - 128*k**3 - 275*k**2 - 23*k**3 + 60*k + 280*k**3 - 79*k**3 = 0 for k.
0, 1/10, 12
Let u(b) be the first derivative of 5*b**4 - 5/2*b**6 + 20/3*b**3 - 109 - 5*b**5 + 0*b**2 + 0*b. Suppose u(x) = 0. What is x?
-2, -2/3, 0, 1
Let r(v) be the second derivative of -v**4/6 + 67*v**3/3 + 138*v**2 - 1112*v. Find k, given that r(k) = 0.
-2, 69
Let o(c) be the third derivative of c**8/1512 + 8*c**7/945 - 7*c**6/108 - 49*c**5/45 + 875*c**2. Let o(v) = 0. Calculate v.
-7, 0, 6
Let b(x) = -340*x**2 - 7708*x - 7426645. Let z(p) = -157*p**2 - 3854*p - 3713323. Let t(v) = 6*b(v) - 13*z(v). Factor t(w).
(w + 1927)**2
Suppose -24*w - 13 + 208 = 15*w. Let c(f) be the third derivative of 24*f**2 - 1/945*f**7 - 1/90*f**w + 1/108*f**4 + 0*f + 1/180*f**6 + 0*f**3 + 0. Factor c(x).
-2*x*(x - 1)**3/9
Let i(f) = f**2 - 19*f + 50. Let a(g) = 3*g - 3*g + 4*g + 6*g**2 - 5*g - 5*g**2. Let m(w) = -2*a(w) - 2*i(w). Suppose m(c) = 0. Calculate c.
5
Let s(u) = -7*u - 269. Let q be s(-29). Let a(m) = 7*m + 465. Let g be a(q). Let -9/4*t + g*t**2 + 21/2*t**3 + 0 + 3*t**4 - 9/4*t**5 = 0. What is t?
-1, 0, 1/3, 3
Let w(a) be the first derivative of -7*a**4/12 - 697*a**3/3 - 248*a**2 + 596*a/3 + 8266. Determine f so that w(f) = 0.
-298, -1, 2/7
Let d(u) = 2*u**2 + 197*u - 818. Let q be d(4). Let b(x) be the second derivative of -23*x - 1/4*x**4 + 9/2*x**q + x**3 + 0. Factor b(j).
-3*(j - 3)*(j + 1)
Suppose 1336 = 21*s - 13*s. Let x = -1001/6 + s. Factor x*l**3 - 2/3*l + 1/6*l**4 + 4/3 - l**2.
(l - 2)*(l - 1)*(l + 2)**2/6
Let a(n) = 18*n**3 - 12*n**2 + 27*n + 12. Let g(l) = l**2 + 0 - 96*l**3 - 2*l - 1 + 95*l**3 + 0. Let r(y) = -a(y) - 15*g(y). Solve r(m) = 0 for m.
-1, 1
Let f(s) = 5*s - 2. Let h(c) = 7*c - 3. Let k(z) = 3*f(z) - 2*h(z). Let l(b) = 5*b**2 - 274*b + 3920. Let u(o) = 6*k(o) - l(o). Suppose u(d) = 0. Calculate d.
28
Let c(w) be the second derivative of w**7/168 - 9*w**5/10 + 54*w**3 - 3*w - 221. Find a such that c(a) = 0.
-6, 0, 6
Suppose -j + 1 = -2*z + 9, 4*z - j = 14. Suppose -2*o**2 + 100*o + 80*o + 0*o**z + 5*o**3 - 98*o**2 = 0. Calculate o.
0, 2, 18
Let p = 472 + -492. Let d be -4 - ((-5)/p - 5). Let -d*c**2 - 3/2*c + 0 = 0. Calculate c.
-2, 0
Let -8/7 - 12/7*t**3 + 4/7*t**4 + 12/7*t + 4/7*t**2 = 0. What is t?
-1, 1, 2
Solve 2084*c**3 + 3297*c**3 + 5*c**4 - 4516*c**3 = 0 for c.
-173, 0
Let r = -2487590/3 + 829197. Factor -5/3*o**2 + r - 4/3*o.
-(o + 1)*(5*o - 1)/3
Let n be (-153)/12*(-19)/(57/40). Let d be (-4)/(-6) + (7 - n/30). Determine t, given that 8*t + 1/2*t**d + 32 = 0.
-8
Let u(a) be the first derivative of -a**6/2 + 43*a**5/5 - 209*a**4/4 + 365*a**3/3 - 50*a**2 - 654. Find l, given that u(l) = 0.
0, 1/3, 4, 5
Let b(d) be the third derivative of d**5/90 - 155*d**4/36 - 52*d**3/3 + 618*d**2. Solve b(f) = 0.
-1, 156
Let n be -1 + 6 + (-430)/(-5). Find c, given that -n*c**2 - 5*c**4 + 52*c**2 + 48*c**2 + 8*c**3 - 4 - 8*c = 0.
-1, -2/5, 1, 2
Let t(a) be the third derivative of -a**5/60 + a**4/8 + 5*a**3/3 + 1381*a**2. Factor t(r).
-(r - 5)*(r + 2)
Let a(y) = 3265*y**3 - 10000*y**2 - 12695*y + 320. Let t(w) = -408*w**3 + 1249*w**2 + 158