**3/3 + 2822*w**2. Determine t so that r(t) = 0.
4, 5
Let y(t) = -20*t**3 + 1812*t**2 - 1696*t + 48. Let i(s) = 4*s**3 - 363*s**2 + 339*s - 10. Let n(j) = -24*i(j) - 5*y(j). Factor n(x).
4*x*(x - 86)*(x - 1)
Let h(p) = 11*p + 2*p**2 - 3*p**2 + 13*p - 114 + 2*p. Let q be h(6). Suppose 10*d**4 - q*d - 139/6*d**3 + 2/3 + 37/2*d**2 = 0. Calculate d.
1/4, 2/5, 2/3, 1
Let u = 6/5 - 3/5. Suppose -4813 = 2*o + 4*b - 4869, 2*o + 42 = 3*b. Factor -3/5*g**2 + o - u*g.
-3*g*(g + 1)/5
Determine o, given that -1642*o**2 - 1612*o**2 + 520*o - 1020 - 1434*o**2 - 5*o**3 + 5193*o**2 = 0.
-2, 1, 102
Determine o so that 576 - 264/5*o**3 + 5502/5*o + 2361/5*o**2 - 3/5*o**4 = 0.
-96, -1, 10
Let y be 3*37/(-999) + -3*(-172)/756. Factor -44/7 - 40/7*x + y*x**2.
4*(x - 11)*(x + 1)/7
Let a(p) = 226*p**4 + 7846*p**3 + 7393*p**2 - 701*p - 599. Let u(l) = l**4 + l**3 + 22*l**2 - 2*l + 1. Let b(k) = -a(k) - 5*u(k). Solve b(r) = 0 for r.
-33, -1, -3/11, 2/7
Let -1427*v**2 + 43059*v - 48598 - 760*v**2 + 14765*v - 2*v**4 - 4509*v**2 + 212*v**3 - 2740*v = 0. What is v?
1, 11, 47
Let b(v) be the third derivative of -v**7/735 + 299*v**6/420 - 22499*v**5/210 + 22201*v**4/84 + 14*v**2 + 21*v. Find u such that b(u) = 0.
0, 1, 149
Factor 6386041/2*f**2 + 81/2 + 172895715*f**3 + 19692*f + 38303118*f**4 + 2125764*f**5.
(f + 9)**2*(162*f + 1)**3/2
Factor 0*y + 0*y**3 - 124/5*y**4 - 2/5*y**5 + 0*y**2 + 0.
-2*y**4*(y + 62)/5
Let l(v) be the first derivative of v**9/18144 - v**7/1680 + v**6/1080 + 46*v**3/3 + 71. Let n(c) be the third derivative of l(c). Factor n(q).
q**2*(q - 1)**2*(q + 2)/6
Let p = 555511 + -555509. Find o such that -o + o**3 - 3/2 - 1/2*o**4 + 2*o**p = 0.
-1, 1, 3
Let q be 34/(1/102*-3). Let t = q + 1158. Let 4*j - 13/3*j**t - 1/3*j**4 - 4/3 + 2*j**3 = 0. What is j?
1, 2
Let x(q) be the second derivative of -q**4/28 - q**3/14 + 126*q - 19. Factor x(r).
-3*r*(r + 1)/7
Let j(g) = -18*g + 4*g**2 + 15*g + 0*g**2 + g**2 + 1. Let f be j(1). Factor -q**3 - 5*q**5 - 11*q**3 - 5*q**2 + 0*q**f - 15*q**4 - 3*q**3.
-5*q**2*(q + 1)**3
Let n = 101273 - 807661/8. Factor 87/4*l - 3/8*l**2 - n.
-3*(l - 29)**2/8
Let u be 42/7*1/3. Let h be 0/u - (6 + -9). Factor 31*x**2 + 4*x**4 - 39*x**2 + 3*x**h + x**3.
4*x**2*(x - 1)*(x + 2)
Solve -192*s**2 + 70/3*s**3 + 0 - 2/3*s**4 - 216*s = 0.
-1, 0, 18
Let f(x) = x**4 - 29*x**3 + 12*x**2 + 1196*x - 1189. Let b(u) = -2*u**4 + 61*u**3 - 26*u**2 - 2392*u + 2380. Let c(z) = -6*b(z) - 14*f(z). Factor c(i).
-2*(i - 13)**2*(i - 1)*(i + 7)
Let p = 2599/558 - 881/279. Factor 2*k**3 - 2 + p*k**2 - 2*k + 1/2*k**4.
(k - 1)*(k + 1)*(k + 2)**2/2
Let x(l) = 2*l**3 - 182*l**2 + 240*l - 5397. Let i be x(90). Factor 1/6*s**i + 0 - s - 1/6*s**2.
s*(s - 3)*(s + 2)/6
Let o = 454117 + -454114. Factor 0 - 12/5*c + 3/5*c**4 - 3/5*c**2 + 12/5*c**o.
3*c*(c - 1)*(c + 1)*(c + 4)/5
Let p be (-124)/155*(-40)/(-16) + 7. Factor -48*b + 6*b**4 + 96/5 - 3/5*b**p + 48*b**2 - 24*b**3.
-3*(b - 2)**5/5
Let t(l) be the first derivative of 0*l - 145 - 27/8*l**4 - 1/2*l**3 + 0*l**2. Suppose t(j) = 0. Calculate j.
-1/9, 0
Factor 4374/7 + 3/7*j**2 - 513/7*j.
3*(j - 162)*(j - 9)/7
Let c(x) be the second derivative of -x**4/28 + 2350*x**3/7 - 8283750*x**2/7 + 12017*x. Factor c(r).
-3*(r - 2350)**2/7
Determine w, given that w**3 - 19*w + 8 + 11/2*w**2 = 0.
-8, 1/2, 2
Let n be (-2 + 4)/((-2)/(-27)). Suppose n = 3*u + 3*f + 6, 0 = -3*f + 12. Factor -7*d**2 + u*d**2 + 8*d + 12 - d + d.
-4*(d - 3)*(d + 1)
Let z = -7900 - -7904. Let b(h) be the first derivative of -1/24*h**z - 5 + 5/6*h + 1/6*h**3 + 3/4*h**2. What is a in b(a) = 0?
-1, 5
Let l(c) = -c**3 + 7*c**2 + 2*c + 9. Let t be l(8). Let q = t + 40. Let v(f) = f**3 + 8*f - 9. Let g(n) = n**2 - n. Let r(x) = q*v(x) + 5*g(x). Factor r(b).
(b - 1)*(b + 3)**2
Let a(c) be the first derivative of 2*c**5/15 - 8*c**4/3 + 58*c**3/9 + 130*c**2/3 + 1136. Factor a(s).
2*s*(s - 13)*(s - 5)*(s + 2)/3
Let h(d) be the second derivative of d**8/672 + d**7/315 - d**6/360 - 17*d**4/12 + d**2 + 209*d + 1. Let q(j) be the third derivative of h(j). Solve q(v) = 0.
-1, 0, 1/5
Let k(w) = -w**2 - 23*w - 20. Let b be k(-22). Factor 5*u**4 - 9*u**4 + 8*u**3 - 6*u**2 - b*u**4 + 4*u**4.
-2*u**2*(u - 3)*(u - 1)
Solve -13 + 17/4*h - 1/4*h**2 = 0 for h.
4, 13
Let p = 8328717/844942 - 3/844942. Factor 0 - p*k + 3/7*k**2.
3*k*(k - 23)/7
Let u(h) = 2*h**2 - 17*h - 15. Let b be u(-6). Suppose -129 - b = -3*t. Factor 4*w**4 + 0*w**4 - 141*w + 3597*w + t*w**3 - 5184 - 8*w**4 - 864*w**2.
-4*(w - 6)**4
Let v(f) be the third derivative of f**5/30 - 1373*f**4/6 + 1885129*f**3/3 + 3781*f**2. Let v(m) = 0. Calculate m.
1373
Let p(y) be the first derivative of -15*y**4/4 - 108*y**3 - 189*y**2/2 - 721. Factor p(a).
-3*a*(a + 21)*(5*a + 3)
Let v(t) be the third derivative of t**9/63504 - t**8/23520 - t**7/52920 + t**5/20 + 7*t**4/12 - 85*t**2. Let c(i) be the third derivative of v(i). Factor c(p).
2*p*(p - 1)*(10*p + 1)/21
Let h be 1*105/5 + 4. Suppose h*u = 3*u. Find y, given that -2/5*y**3 + 4/5*y + 2/5*y**2 + u = 0.
-1, 0, 2
Determine q so that 160*q**3 - 52716*q - 24412*q - 640000 + 4*q**4 + 13128*q = 0.
-20, 20
Suppose 0 = -13*a + 16496 - 2287. Factor 5*y + a*y**3 + 4*y - 1094*y**3 + 0*y.
-y*(y - 3)*(y + 3)
Let r be 1 + 1058/14 + (-54)/(-126). Factor 254*p**2 - 305*p - 339*p + r + 119 - 12*p**3 - 82*p**2.
-4*(p - 7)**2*(3*p - 1)
Suppose -6*y - 60 = -3*t, 0 = -3*t + 3*t - 3*y - 27. Let -2/13*z**t - 6/13*z - 4/13 = 0. What is z?
-2, -1
Let a = 540199 + -540196. Factor -3/7*y**2 + 0*y + 0 - 3/7*y**a.
-3*y**2*(y + 1)/7
Let n = -41043 - -41043. Find q, given that n - 2/3*q - 2*q**3 + 2/3*q**4 + 2*q**2 = 0.
0, 1
Solve 200/3*h - 22/3*h**4 - 206/3*h**3 - 14*h**2 + 2*h**5 + 64/3 = 0 for h.
-4, -1, -1/3, 1, 8
Let z(k) = 2*k**2 + 28*k + 4. Let l be z(-18). Let -4241 - 2*b**4 + 4385 + l*b**2 - 30*b**3 - 264*b + 4*b**4 = 0. Calculate b.
1, 2, 6
Let g(h) = 3*h**3 + 10*h**2 - 5*h - 8. Let j(s) = -541 - 9*s - 531 + 1603 - 548 + 6*s**3 + 20*s**2. Let v(d) = -9*g(d) + 4*j(d). Find x such that v(x) = 0.
-4, -1/3, 1
Let s = 14 + -11. Suppose -3*p - s*k = 0, 4*p - 6 = -7*k + 5*k. Find f such that 38/3*f**4 + 2/3*f**2 - 4/3*f + 14/3*f**5 + 10*f**p + 0 = 0.
-1, 0, 2/7
Let a = 1372 + 2468. Factor 47*w**3 - a*w - 23*w**3 - 29*w**3 - 20480 - 240*w**2.
-5*(w + 16)**3
Let p = 17/2338 + 4591/11690. Find b such that -b**2 + p - 9/5*b = 0.
-2, 1/5
Let m(l) be the second derivative of l**7/14 - 2*l**6/5 - 21*l**5/20 + 17*l**4/2 - 12*l**3 - 312*l - 2. Solve m(i) = 0 for i.
-3, 0, 1, 2, 4
Let c be (12/9)/(6/63). Let 50*u**3 + 145*u**2 - 58 - 134 - c - 34 + 40*u + 2*u**4 + 3*u**4 = 0. Calculate u.
-4, -3, 1
Let f(q) be the third derivative of 1/140*q**5 - 4*q**2 - 43 + 43/28*q**4 + 1849/14*q**3 + 0*q. What is m in f(m) = 0?
-43
Suppose -43*r = -20*r. Suppose r + 4/7*q**3 - 4/7*q**4 - 4/7*q + 4/7*q**2 = 0. Calculate q.
-1, 0, 1
Let r(f) be the second derivative of -f**6/10 - 6*f**5 - 225*f**4/2 + 50625*f**2/2 + 2*f + 381. Factor r(l).
-3*(l - 5)*(l + 15)**3
Factor -1056*h**2 - 189*h**4 - 212 + 367*h + 548 - 79*h + 15*h**5 + 732*h**3.
3*(h - 7)*(h - 2)**3*(5*h + 2)
Let k(t) be the third derivative of 5*t**8/336 - 5*t**7/6 + 125*t**6/8 - 375*t**5/4 + 3*t**2 + 106*t + 2. Factor k(z).
5*z**2*(z - 15)**2*(z - 5)
Let y(n) be the second derivative of -14/27*n**3 - 26*n - 17/54*n**4 + 0 + 8/9*n**2 + 1/18*n**5. Factor y(x).
2*(x - 4)*(x + 1)*(5*x - 2)/9
Factor 26/3*p**2 + 406/9*p + 110/3 + 2/9*p**3.
2*(p + 1)*(p + 5)*(p + 33)/9
Let g(o) be the third derivative of o**8/840 + 19*o**7/525 + 47*o**6/150 + 29*o**5/75 - 19*o**4/12 - 77*o**3/15 + o**2 - 1341. Let g(z) = 0. Calculate z.
-11, -7, -1, 1
Let x = 194/91 + -1679/1001. Let p(f) be the second derivative of 0 - 2*f + 1/110*f**5 - 7/66*f**4 - 9/11*f**2 + x*f**3. Determine a so that p(a) = 0.
1, 3
Let p be 110430/(-14315) - (6 + -2)*-1*(1 + 1). Factor -3/7*f**2 - p + 5/7*f.
-(f - 1)*(3*f - 2)/7
Let z(x) = -x**2 - 6*x - 5. Let y(l) = -47*l**2 - 170*l - 159. Let t(v) = -2*y(v) - 4*z(v). Factor t(h).
2*(7*h + 13)**2
Let o(n) be the third derivative of n**6/20 - 13*n**5/6 + 14*n**4/3 + 124*n**3/3 - 262*n**2 + 3*n. Factor o(b).
2*(b - 2)*(b + 1)*(3*b - 62)
Let x(i) be the first derivative of i**6/16 + 297*i**5/40 + 6891*i**4/32 - 7599*i**3/8 + 7803*i**2/8 - 496. Determine z, gi