 0*v**2 + 0 - 117*v - 5/3*v**3 - 65/12*v**4. Solve i(g) = 0.
-2/13, 0
Let h be 14/(-21) + (104/12 - 3). Suppose 0 = -5*j - 3*n + 10 - 6, -4*j - 2 = h*n. Factor -2*l - j - 1/2*l**2.
-(l + 2)**2/2
Let y be 18/(6 + (-528)/90). Suppose y = 13*m + 96. Factor -8/7 + 22/7*u**m + 8*u - 10*u**2.
2*(u - 2)*(u - 1)*(11*u - 2)/7
Factor 3422500/3 + 4/3*v**2 - 7400/3*v.
4*(v - 925)**2/3
Let x(m) be the second derivative of -m**9/10584 + m**7/1470 - m**5/420 - 2*m**3 - m - 12. Let d(o) be the second derivative of x(o). Let d(l) = 0. Calculate l.
-1, 0, 1
Determine y, given that 18*y**3 - 826*y**2 - 803*y**2 - 14*y + 1633*y**2 = 0.
-1, 0, 7/9
Let u(l) be the first derivative of 12*l**2 - 30*l + 12. Let s(d) = d**2 - 24*d + 31. Let v(i) = -3*s(i) - 4*u(i). Let v(j) = 0. What is j?
-9, 1
Let s = 608 - 605. Factor -76*h**2 + 1707*h - 1659*h + s*h**3 + 13*h**3.
4*h*(h - 4)*(4*h - 3)
Let r be (-2 - -1*2)/2. Let h(o) = o**2 + 245*o - 56014. Let n be h(144). Factor 1/2*p**3 - 2*p + r + 0*p**n.
p*(p - 2)*(p + 2)/2
Let m(p) be the first derivative of -p**3/3 - 4*p**2 + 33*p + 2296. Suppose m(g) = 0. Calculate g.
-11, 3
Factor -39233378*p**3 + 39232774*p**3 + 1224*p**2 - 4*p**4 - 3 + 3.
-4*p**2*(p - 2)*(p + 153)
Factor 1/4*l**4 + 0 - 9/4*l**2 - 5/4*l - 3/4*l**3.
l*(l - 5)*(l + 1)**2/4
Let d(y) be the first derivative of 2/5*y**5 + 48 + y**2 - 1/2*y**4 - 2*y**3 + 4*y. Suppose d(x) = 0. Calculate x.
-1, 1, 2
Let g(v) = 21*v**3 + 96*v**2 + 134*v + 50. Let o(h) = -1341*h + 10*h**3 - 220*h**3 - 960*h**2 - 505 + 4. Let j(s) = -21*g(s) - 2*o(s). Factor j(k).
-3*(k + 2)**2*(7*k + 4)
Let y be (-6)/16 + (-1050)/(-240). What is r in -160*r**2 - 14 + 167*r**2 + 5*r**4 + 51*r + 2*r**y - 51*r**3 = 0?
-1, 2/7, 1, 7
Let g(f) = f + 2. Let u(t) = 9*t**2 - 24*t - 20. Let i(c) = 2*g(c) + u(c). Let b(h) = 8*h**2 - 20*h - 16. Let r(l) = 5*b(l) - 4*i(l). Factor r(x).
4*(x - 4)*(x + 1)
Let -130 + 5/3*s**2 - 35/3*s = 0. Calculate s.
-6, 13
Let l = 196577/4 - 49144. Factor -l + 1/4*z + 1/2*z**2.
(z + 1)*(2*z - 1)/4
Solve 87711/4*o - 85683/2 - 255*o**2 + 3/4*o**3 = 0 for o.
2, 169
Suppose 5*w + 186 = j + 207, 0 = 3*j + 2*w - 22. Let c(r) be the first derivative of -1/4*r**2 - 3/2*r - 1/24*r**j + 5/18*r**3 + 38. Factor c(h).
-(h - 3)**2*(h + 1)/6
Let a(n) = 4*n**5 + 7*n**4 + 37*n**3 + 4*n**2 - 5*n. Let y(i) = -3*i**5 - 7*i**4 - 33*i**3 - 5*i**2 + 4*i. Let m(k) = 4*a(k) + 5*y(k). Factor m(g).
g**2*(g - 9)*(g + 1)**2
Let x(g) be the third derivative of g**5/300 - 5*g**4/12 + 92*g**3/15 + 2000*g**2. Determine c so that x(c) = 0.
4, 46
Let 0 + 18/7*k**3 + 36/7*k**2 + 2/7*k**4 + 0*k = 0. Calculate k.
-6, -3, 0
Suppose -730 - 10470 = -28*i. Suppose 12884/9*g**2 + 14/9*g**5 + 2840/3*g - i + 4750/9*g**3 + 472/9*g**4 = 0. Calculate g.
-15, -2, 2/7
Suppose -151 + 519 + 31297*g**2 - 30803*g**2 + 2*g**4 - 798*g - 66*g**3 = 0. Calculate g.
1, 8, 23
Factor 3/5*r**5 + 0 + 588/5*r - 597/5*r**4 + 1773/5*r**3 - 1767/5*r**2.
3*r*(r - 196)*(r - 1)**3/5
Let 211/3*k**5 + 2/3*k**2 + 424/3*k**4 + 0 + 0*k + 215/3*k**3 = 0. Calculate k.
-1, -2/211, 0
Let i = -129274 - -129274. Let i - 1/2*k**3 + 2*k - 3/2*k**2 = 0. Calculate k.
-4, 0, 1
Let r(v) = v**3 - 6*v**2 - 8*v + 16. Let d be r(8). Factor -25*a - 35*a**5 + d*a**2 - 60*a**3 + 39*a - 120*a**4 - 14*a.
-5*a**2*(a + 2)**2*(7*a - 4)
Let a(d) be the third derivative of d**5/12 - 1885*d**4/12 - 6461*d**2. Suppose a(k) = 0. Calculate k.
0, 754
Let u = -5062028/5 + 1012406. Factor 32/15*w + u*w**3 + 8/3 - 38/15*w**2.
2*(w - 5)*(w - 2)*(3*w + 2)/15
Let x(b) be the first derivative of -25*b**6/6 + 94*b**5 - 2629*b**4/4 + 1316*b**3 - 882*b**2 - 1218. Determine l, given that x(l) = 0.
0, 1, 42/5
Let k = 2556/5069 - 43/10138. Factor 65/2*v**2 + 0*v - k*v**3 + 0.
-v**2*(v - 65)/2
Let i(s) be the second derivative of -5*s**4/12 + 90*s**3 - 1040*s**2 - 3*s + 1571. Factor i(t).
-5*(t - 104)*(t - 4)
Let t(h) be the third derivative of h**6/24 - 209*h**5/6 + 214165*h**4/24 + 445210*h**3/3 - 2*h**2 + 36*h - 3. Find u, given that t(u) = 0.
-4, 211
Let y(o) be the first derivative of o**7/490 - 3*o**6/280 + 3*o**5/140 - o**4/56 - 37*o**2 + 4. Let w(u) be the second derivative of y(u). Factor w(z).
3*z*(z - 1)**3/7
Let g(v) = 2*v**2 + 148*v. Let h(o) = 21*o**2 + 1483*o. Let b(r) = -62*g(r) + 6*h(r). Factor b(k).
2*k*(k - 139)
Let b(g) be the third derivative of g**6/120 + 2059*g**5/60 + 353633*g**4/8 + 352947*g**3/2 - g**2 + g + 50. Factor b(q).
(q + 1)*(q + 1029)**2
Suppose -4 = 2*n + 3*b, 5*n = -3*b - 50 + 58. Let y(x) be the second derivative of 0 + 0*x**2 + 9*x + 0*x**3 - 1/12*x**n. Factor y(i).
-i**2
Solve 3/4*l**3 - 15/4*l**2 - 18*l + 0 = 0.
-3, 0, 8
Let h(y) = y**2 - 541*y + 7382. Let g be h(14). Determine n, given that -5/3*n**g - 2/3*n - 1/3*n**5 - 7/3*n**2 + 0 - 3*n**3 = 0.
-2, -1, 0
Let u(x) be the second derivative of 0*x**2 - 3 - 1/21*x**4 + 20/21*x**3 + 2*x. Factor u(l).
-4*l*(l - 10)/7
Solve -22*v**4 + 550*v**2 + 480 + 1920*v**5 - 121*v**3 + 1004*v - 1922*v**5 + 127*v**3 = 0 for v.
-8, -6, -1, 5
Factor -21979*s - 4*s**2 - 2640 + 44676*s - 22021*s.
-4*(s - 165)*(s - 4)
Let z(h) = 422*h - 1263. Let i be z(3). Let d(u) be the first derivative of -3/19*u**2 - 2/57*u**i + 8/19*u - 2. Factor d(v).
-2*(v - 1)*(v + 4)/19
Let k be (-2*(-10)/(-4))/(((-8)/(-40))/((-255)/2125)). Suppose -12*y - k*y**3 - 9/2*y**4 + 3/2*y**5 + 18*y**2 + 0 = 0. Calculate y.
-2, 0, 1, 2
Let f(n) be the third derivative of -n**8/3360 + n**7/630 + n**6/120 + 73*n**4/24 + 2*n**2 - 11*n. Let s(v) be the second derivative of f(v). Factor s(d).
-2*d*(d - 3)*(d + 1)
Suppose 360*h**2 - 2/5*h**4 - 18428/5*h - 4/5*h**3 - 4046 = 0. What is h?
-35, -1, 17
Suppose -105*b = -96*b - 63. Let n(s) be the first derivative of 1/8*s**4 + 1/20*s**5 + b - 1/24*s**6 + 0*s**3 + 0*s**2 + 0*s. Factor n(w).
-w**3*(w - 2)*(w + 1)/4
Let u be (-3 + (-462)/(-162))/((-5)/30). Let b(j) be the first derivative of -2/27*j**3 - u*j + 4/9*j**2 - 5. Factor b(s).
-2*(s - 2)**2/9
Solve 0 - 186*o + 308/3*o**3 - 176/9*o**4 - 2/9*o**5 - 64*o**2 = 0 for o.
-93, -1, 0, 3
Let c = -3707928/5 + 741586. Solve -92/5*a - 18 - c*a**2 = 0 for a.
-45, -1
Let l(d) be the third derivative of -1/6*d**3 + 0 - 5*d - 4*d**2 + 17/120*d**5 + 5/16*d**4. Factor l(o).
(o + 1)*(17*o - 2)/2
Let r(z) be the first derivative of 13/12*z**2 + 75 - 5/2*z - 1/9*z**3. Factor r(l).
-(l - 5)*(2*l - 3)/6
Let v(t) be the third derivative of -t**7/168 - 19*t**6/960 - 3*t**5/160 - 59*t**4/24 - 173*t**2. Let d(i) be the second derivative of v(i). Factor d(x).
-3*(4*x + 3)*(5*x + 1)/4
Solve 2*h**3 + 414 - 388*h**2 + 2075*h - 547*h + 77 - 2011 = 0.
2, 190
Let z = 364 + 78. Let a = z + -440. Factor 20/3 + 20/3*r - 5*r**a.
-5*(r - 2)*(3*r + 2)/3
Let c(j) = -j**3 - 2*j + 7. Let x be c(0). Suppose -6*t - 11 = -x*t. Factor -t*q**3 - 12 + 24*q**2 + 5*q**3 - 30*q**2 + 2*q**4 + 22*q.
2*(q - 3)*(q - 1)**2*(q + 2)
Let n(d) be the third derivative of -d**7/5040 - d**6/432 - d**5/240 + d**4/16 + 59*d**3/6 + d**2 - 2. Let b(h) be the first derivative of n(h). Factor b(r).
-(r - 1)*(r + 3)**2/6
Let w(n) = 6*n**2 + 80*n + 200. Let p(b) be the second derivative of -b**4/3 - 53*b**3/6 - 67*b**2 + 102*b. Let j(g) = 8*p(g) + 5*w(g). Let j(v) = 0. What is v?
-6
Let x = 4 + -16. Let w = x + 15. Factor -2/13 + 2/13*c**2 - 8/13*c + 8/13*c**w.
2*(c - 1)*(c + 1)*(4*c + 1)/13
Let f be ((104/(-6))/(-13))/(1 + (-165)/225). Solve 0 + 4/9*o**3 - 1/9*o**f - 1/3*o - 2/9*o**2 + 2/9*o**4 = 0 for o.
-1, 0, 1, 3
Let m(d) be the second derivative of -79/6*d**4 + 1/21*d**7 - d + 119/10*d**5 - 7/5*d**6 + 100*d**2 + 0 - 40*d**3. What is v in m(v) = 0?
-1, 1, 10
Solve 121/6*f - 1/6*f**2 + 61/3 = 0.
-1, 122
Suppose -f + 4*t = 80, 3*f = 8*t - 3*t - 100. Suppose -2/7*y**2 + f - 6/7*y = 0. What is y?
-3, 0
Let b(u) be the first derivative of 1/12*u**6 + 0*u + 0*u**4 + 0*u**2 + 3/10*u**5 + 17 - 2/3*u**3. Factor b(n).
n**2*(n - 1)*(n + 2)**2/2
Let f(w) be the first derivative of -w**3/9 - 13*w**2/2 + 42*w + 3224. Suppose f(k) = 0. Calculate k.
-42, 3
Let p(t) be the first derivative of -1/48*t**3 + 0*t**2 - 25*t + 35 + 1/160*t**5 + 0*t**4. Let f(a) be the first derivative of p(a). Factor f(b).
b*(b - 1)*(b + 1)/8
Let y be 14/(-21)*15/(-5). Find k, given that -75*k**3 - 11*k**2 + 70*k**3 + 12*k - k**4 + 19*k**y = 0.
-6, -1, 0, 2
Le