 -4. Let a = x + -236. Factor -a*h**3 + 0 - 6/5*h**2 - 4/5*h.
-2*h*(h + 1)*(h + 2)/5
Let q(c) = -22*c**4 + 802*c**3 + 2322*c**2 + 2204*c + 742. Let d(b) = 6*b**4 - 229*b**3 - 663*b**2 - 630*b - 212. Let p(r) = -36*d(r) - 10*q(r). Factor p(k).
4*(k + 1)**3*(k + 53)
Find n such that 0 + 1/2*n**5 - 25*n**2 + 45/2*n**3 + 0*n - 6*n**4 = 0.
0, 2, 5
Let x(d) be the first derivative of 54 + 0*d**4 + 0*d - 2/5*d**2 + 2/75*d**5 - 14/45*d**3. Find b such that x(b) = 0.
-2, -1, 0, 3
Let z = -538 - -935. Suppose z*p + 40 = 417*p. Factor 4/7*m**3 + 8/7*m**p + 16/7 - 4*m.
4*(m - 1)**2*(m + 4)/7
Let z(r) be the third derivative of -r**7/490 - 31*r**6/140 - 165*r**5/28 + 1089*r**4/14 - 1193*r**2. Factor z(u).
-3*u*(u - 4)*(u + 33)**2/7
Let u(a) be the second derivative of 7/2*a**3 + 8 + 2/5*a**6 + 5*a**4 - 1/14*a**7 + 5*a + 0*a**2 + 27/10*a**5. Determine w, given that u(w) = 0.
-1, 0, 7
Factor 0*j**4 - 24*j**3 + 96*j**2 + 384/5 + 3/5*j**5 - 144*j.
3*(j - 2)**4*(j + 8)/5
Let o(l) be the third derivative of -1/70*l**7 + 0 - 3/2*l**4 + 0*l + 4/5*l**5 + 0*l**3 - 3/40*l**6 - 84*l**2. Factor o(g).
-3*g*(g - 2)*(g - 1)*(g + 6)
Let r be (-70)/2835 + (-12818)/(-7371). Find j such that 15/7*j**2 - 3/7*j**3 + r - 24/7*j = 0.
1, 2
Suppose 31*c**2 - 4*c**4 + 286*c**3 + c**2 - 3*c**4 + 0*c**2 - 11*c**4 = 0. What is c?
-1/9, 0, 16
Factor -765/2 + 3/2*o**2 - 381*o.
3*(o - 255)*(o + 1)/2
Let i be (-18*(-17)/1989)/(((-4)/(-104))/((-3)/(-6))). Factor -512 - 2/9*o**i - 64/3*o.
-2*(o + 48)**2/9
Let z(h) be the first derivative of -9*h**4/4 - 35*h**3/3 - 23*h**2/2 + 3*h - 1800. Factor z(a).
-(a + 1)*(a + 3)*(9*a - 1)
Let w = 285 - 278. Let w + 16*f - 22*f - 6 + 7*f + 11*f - 13*f**2 = 0. Calculate f.
-1/13, 1
Find i, given that 2*i - 8/9*i**5 - 4/9 - 10/9*i**3 - 20/9*i**2 + 8/3*i**4 = 0.
-1, 1/2, 1, 2
Let u(z) be the third derivative of z**7/6300 - 7*z**6/1350 - 35*z**3/6 + 40*z**2. Let d(b) be the first derivative of u(b). Factor d(t).
2*t**2*(t - 14)/15
Suppose -351 = -3*s - 3*v, -2*v = -5*s + 3*s + 246. Suppose -g - 114 = -s. Factor 182*p**3 - 2 - g*p + 27*p**2 + 39*p**4 - 110*p**3 + 2.
3*p*(p + 1)**2*(13*p - 2)
Determine s, given that -327/5*s - 666/5 + 3/5*s**2 = 0.
-2, 111
Let l = -15299/90 - -170. Let g(j) be the second derivative of -1/150*j**5 + 0 + 2/45*j**3 - l*j**4 + 14*j + 0*j**2. Find z, given that g(z) = 0.
-2, 0, 1
Factor -3/4*k**3 - 3/4*k**2 + 12675/4 + 1443/4*k.
-3*(k - 25)*(k + 13)**2/4
Suppose 5*f - 515 = 5*m, -12 = 3*m + m. Factor 20 - 22*u**2 + 107*u**2 - 14*u**3 - f*u - 3*u**3 - 3*u**3.
-5*(u - 2)**2*(4*u - 1)
Suppose -12 = f - 2*q, -2*q + 56 - 8 = -4*f. Let z(c) = 2*c + 28. Let d be z(f). What is v in -19*v**4 + 62*v**2 - 50*v**2 - 8*v + 7*v**d + 8*v**3 = 0?
-1, 0, 2/3, 1
Let d(p) be the third derivative of 4*p**7/35 - 79*p**6/40 + 53*p**5/20 + 99*p**4/8 - 81*p**3/2 + 891*p**2. Factor d(h).
3*(h - 9)*(h - 1)**2*(8*h + 9)
Let n = 752/15 - 8062/165. Suppose 0*k + 0*k**2 - 18/11*k**4 + 0 - 4/11*k**3 - n*k**5 = 0. What is k?
-1, -2/7, 0
Let l(u) = 3*u**5 - u**4 + u**2 + 1. Let b(y) = -40*y**5 + 76*y**4 - 240*y**3 - 268*y**2 + 1024*y - 12. Let w(j) = -b(j) - 12*l(j). Let w(k) = 0. What is k?
-2, 0, 2, 8
Find x such that -48/7 - 52/7*x - 4/7*x**2 = 0.
-12, -1
Let c = -36 - -38. Let -35*t - 1 + 11 + 5*t**4 - 2640*t**c + 2685*t**2 - 25*t**3 = 0. Calculate t.
1, 2
Let y = -492 + 495. Factor 10*n**2 - 10*n**y + 5*n - 2*n**2 + 6*n**3 + 3*n + 4*n.
-4*n*(n - 3)*(n + 1)
Suppose -844/13*z + 2/13*z**4 + 88/13*z**3 + 66/13*z**2 + 688/13 = 0. Calculate z.
-43, -4, 1, 2
Let i be 3731/(-1066) + 4*(-545)/(-440). Solve 36/11*g - 14/11*g**3 + i + 6/11*g**2 = 0.
-1, -4/7, 2
Suppose 0 - 24/7*d + 12/7*d**3 + 10/7*d**2 + 2/7*d**4 = 0. What is d?
-4, -3, 0, 1
What is u in 22*u + 3*u**4 + 6*u - 1328*u**3 + 45*u**2 - u + 681*u**3 + 668*u**3 = 0?
-3, -1, 0
Let x be 24/6 - (2/(-2) - -3). Determine t, given that 12*t**x - 9*t**3 - 5*t - 12*t + 0*t + 29*t = 0.
-2/3, 0, 2
Let p(o) be the second derivative of -o**4/42 - 29*o**3/21 + 342*o**2/7 - 697*o - 1. Let p(w) = 0. What is w?
-38, 9
Suppose 0 = 2*m - 2*q - 10, 4*m + 4*q = m - 20. Let i(w) be the first derivative of m*w**2 + w**5 - 11 - 10/3*w**3 + 5/4*w**4 + 0*w. Solve i(c) = 0 for c.
-2, 0, 1
Let n = -25/413 + 39247/7021. Let d = 1510/187 - n. Factor -16/11 + d*j - 6/11*j**2.
-2*(j - 4)*(3*j - 2)/11
Suppose -2*c + 5*y = 0, c - 3*y = -2*c. Suppose 4*m - 14 = -2*w, 3*w - w - 6 = c. What is p in 15*p - 13*p + m*p**2 - 8*p = 0?
0, 3
Let d = 368 + -355. Factor 39*h**2 + 31*h + d*h**3 + 5*h**4 + 2*h**3 - 8*h**4 - 10*h.
-3*h*(h - 7)*(h + 1)**2
Let g = 349 + -495. Let p = g + 148. Factor 1 - 1/3*i**p + 2/3*i.
-(i - 3)*(i + 1)/3
Let z be (-10)/125 - ((-34888)/525)/14. Let v(y) be the second derivative of -49/12*y**4 + 0 - 2*y**2 + 12*y - z*y**3. Factor v(g).
-(7*g + 2)**2
Let y(n) be the second derivative of 67/9*n**3 + 75*n + 5/18*n**4 + 26/3*n**2 + 0. Find m, given that y(m) = 0.
-13, -2/5
Let u(t) be the second derivative of -t**4/6 - 151*t**3 - 3454*t. Determine n, given that u(n) = 0.
-453, 0
Let r(v) be the second derivative of v**7/147 + 46*v**6/105 + 247*v**5/70 + 137*v**4/21 - 248*v**3/21 - 320*v**2/7 - 6637*v. Determine z, given that r(z) = 0.
-40, -4, -2, -1, 1
Let p(q) be the first derivative of q**8/1344 + q**7/420 - q**6/480 - q**5/120 - q**2/2 + q - 53. Let h(t) be the second derivative of p(t). Solve h(w) = 0.
-2, -1, 0, 1
Suppose 35*h = 33*h + 12. Let t be -3*h/(-6)*(-2)/(-12). Factor -1/8*g**4 - 1/8 - 3/4*g**2 + 1/2*g**3 + t*g.
-(g - 1)**4/8
Let m(x) be the second derivative of -x**5/80 + x**4/48 + 65*x**3/24 + 63*x**2/8 - 4687*x. Find w such that m(w) = 0.
-7, -1, 9
Let b(a) be the second derivative of -1/30*a**4 - 3/50*a**5 + 2/5*a**2 + 1/5*a**3 - 1/75*a**6 - 295*a + 0. Let b(v) = 0. Calculate v.
-2, -1, 1
Let y(u) be the third derivative of 5*u**8/84 - 8*u**7/15 + 4*u**6/15 + 38*u**5/15 - 13*u**4/6 - 20*u**3/3 - 55*u**2 + 11*u. Determine n so that y(n) = 0.
-1, -2/5, 1, 5
Let c(w) be the third derivative of 9*w**6/40 - 5*w**5/4 - 3*w**4/4 - 4100*w**2. Let c(j) = 0. What is j?
-2/9, 0, 3
Let b(s) be the second derivative of 2*s**4/21 - 27*s**3/7 + 20*s**2/7 + 719*s - 1. Find f, given that b(f) = 0.
1/4, 20
Let g(x) be the second derivative of -x**5/20 - 241*x**4/4 - 58081*x**3/2 - 13997521*x**2/2 + 2*x + 675. Factor g(b).
-(b + 241)**3
Let t be 14/4 + (-1)/2. Let l = 3528 - 3523. Factor -p**3 - l*p**3 - 15*p**2 + 11*p**t.
5*p**2*(p - 3)
Let c be 32/(-8) - 2424/(-597). Let u = 259/995 - c. Solve 0 - u*s**2 - 6/5*s = 0.
-6, 0
Suppose -14*u + 7309 + 13929 = 0. Let k = 7601/5 - u. Factor k*x**2 - 12/5*x**3 + 0*x**4 + 2/5*x**5 + 0 - 6/5*x.
2*x*(x - 1)**3*(x + 3)/5
Let r(p) = p**3 - 3*p**2 + 6*p - 227. Let y be r(7). Let k(b) be the second derivative of 0 - 12*b**3 + y*b + 4*b**2 + 27/2*b**4. Factor k(g).
2*(9*g - 2)**2
Let i(y) = 172*y**2 + 490*y - 74. Let d be i(-3). Factor -18/5*q**3 + 36/5 + 2/5*q**d - 78/5*q + 58/5*q**2.
2*(q - 3)**2*(q - 2)*(q - 1)/5
Let v(w) be the second derivative of w**4/78 - 3048*w**3/13 + 20903184*w**2/13 - 259*w + 2. Find m, given that v(m) = 0.
4572
Let l(d) be the third derivative of d**8/70560 + 13*d**7/8820 + 169*d**6/2520 + 53*d**5/60 + 31*d**2 + 2. Let x(y) be the third derivative of l(y). Factor x(h).
2*(h + 13)**2/7
Suppose -131 = 25*i - 181. Let l(z) be the first derivative of 0*z**4 - 4/5*z**5 - 17 - z**i + 0*z + 1/3*z**6 + 4/3*z**3. Factor l(a).
2*a*(a - 1)**3*(a + 1)
Let x be (-1306)/(-15678) + (-14)/(-91). Let n = x - 1/67. Find m such that 8/9*m + n*m**2 + 8/9 = 0.
-2
Suppose 3*s + 3*a = -51, -41 = 5*s + 4*a + 39. Let t be (70/(-280))/(15/s). Determine u, given that 81/5 + 18/5*u + t*u**2 = 0.
-9
Let l(r) be the first derivative of -4*r**3/9 - 276*r**2 - 905. Determine h so that l(h) = 0.
-414, 0
Let q(j) = 4*j**3 - 144*j**2 + 759*j - 953. Let g(s) = -2*s**3 + 72*s**2 - 380*s + 476. Let m(l) = 7*g(l) + 4*q(l). Factor m(h).
2*(h - 30)*(h - 4)*(h - 2)
Let c(p) = -p**3 + 11*p**2 - 34*p + 44. Let t be c(7). Let h be 1/(-2)*(-10 - 0). Factor -6*d**2 - 3*d**5 + 2*d**4 + 4*d**4 - 4*d + 11*d**h + t*d**3 - 6*d**5.
2*d*(d - 1)*(d + 1)**2*(d + 2)
Let d = -226 + 836. Suppose -2*b - r = -396, 4*b - 170 - d = r. Determine j so that -70*j**5 + 34*j**5 - 12*j**2 - 9*j**3 - 49*j**4 + b*j**4 = 0.
-1/4, 