**3 - o*w**2 - 8/11.
2*(w - 4)*(w + 1)**2/11
Suppose -4*g + 24 = -6*g. Let q = g + 18. Factor -11*b + q*b**2 + b - 4*b**2 - 2*b + 18.
2*(b - 3)**2
Suppose 6543*r**2 - 708 + 1368*r + 756 + 7690*r**2 - 4486*r**2 = 0. Calculate r.
-4/57
Suppose 8*i - 18 - 14 = 0. Let b(g) be the second derivative of -8*g + 1/15*g**5 + 0*g**6 + 1/18*g**i - 1/3*g**2 - 1/6*g**3 - 1/126*g**7 + 0. Factor b(u).
-(u - 2)*(u - 1)*(u + 1)**3/3
Let y(f) be the third derivative of 7 + 6*f**2 - 5/8*f**4 + 1/8*f**6 + 3*f**3 + 3/35*f**7 - 3/5*f**5 + 0*f. Let y(j) = 0. What is j?
-3/2, -1, 2/3, 1
Let l(s) = s**3 + 14*s**2 + 7*s - 12. Let f be l(-13). Let z be (1/(-2))/((-3)/f). Factor -20*m - 14*m**3 + 2*m**3 - 4*m**3 - z*m**2 - 33*m**2 + 8.
-4*(m + 1)*(m + 2)*(4*m - 1)
Let b = -940 + 946. Let h be b/(-14) - 312/(-336). Factor -5*k**2 + 0 + 3/2*k - 3*k**4 + h*k**5 + 6*k**3.
k*(k - 3)*(k - 1)**3/2
Let n(t) be the first derivative of -52 + 17/5*t**5 - 1/12*t**6 + 0*t**2 - 17/3*t**3 + 1/8*t**4 + 0*t. Determine o, given that n(o) = 0.
-1, 0, 1, 34
Let b(o) be the first derivative of 1/27*o**3 - 48 + 0*o + 1/3*o**2. Determine a so that b(a) = 0.
-6, 0
Let j(s) be the third derivative of 88*s**2 + 1/26*s**4 + 0 + 2*s - 1/390*s**5 + 16/39*s**3. Factor j(k).
-2*(k - 8)*(k + 2)/13
Suppose 5*j - 18968 = 5*k - 18893, -4*j = 3*k + 31. Factor 21/4 + 3/4*u**j - 6*u.
3*(u - 7)*(u - 1)/4
Suppose 0*q + 5*o + 139 = q, -o + 151 = q. Let r = 241 - q. Factor 44 - 24*j**3 + 4*j**4 + 4*j**2 + 4*j + 20 + r*j.
4*(j - 4)**2*(j + 1)**2
Factor 24/5 - 154/5*g**2 + 184*g.
-2*(g - 6)*(77*g + 2)/5
Let m(h) be the second derivative of -h**4/18 - 2*h**3/3 + 7*h**2/3 + 5*h - 19. What is l in m(l) = 0?
-7, 1
Let r = 47/1608 - -2879599/11256. Let f = 257 - r. Factor 12/7*i**2 - 4/7*i**4 - 20/7*i + 4/7*i**3 + f.
-4*(i - 1)**3*(i + 2)/7
Let v = -601/4 + 151. Suppose -12 = -99*s + 87*s. Solve v*n**2 - s + 0*n + 1/4*n**3 = 0 for n.
-2, 1
Let k(t) = -3*t**2 - 4*t + 16 - 14 - t**3 + 5*t**4 - 5*t**3 - 8. Let p(r) = 11*r**4 - 13*r**3 - 7*r**2 - 9*r - 13. Let g(s) = 13*k(s) - 6*p(s). Factor g(w).
-w*(w - 2)*(w + 1)**2
Let z(r) be the third derivative of r**7/280 + 187*r**6/40 + 35709*r**5/20 + 34595*r**4 + 273800*r**3 - 7910*r**2. Factor z(g).
3*(g + 4)**2*(g + 370)**2/4
Let n(o) be the second derivative of o**4/4 - 223*o**3/2 + 663*o**2 + 6903*o. Solve n(z) = 0 for z.
2, 221
Factor -238 + 5*k**3 + 304*k + 7767*k**2 + 0*k**3 - 7855*k**2 - k**3 - 50.
4*(k - 18)*(k - 2)**2
Let d(y) be the third derivative of -30*y**2 + 47/27*y**6 - 20/27*y**5 + 0*y**4 + 1/168*y**8 - 26/135*y**7 + 0*y + 0*y**3 + 1. Factor d(v).
2*v**2*(v - 10)**2*(9*v - 2)/9
Let k(i) = 3*i - 126. Let x be k(12). Let a be (-4 - 294/x) + 44/33. Factor -a*u - 3/5*u**2 + 0.
-3*u*(u + 1)/5
Let c = 193 - 68. Suppose -2*t + 4*o + 16 = 4, 2*o = -3*t + 2. Factor -14*r + 3*r**t + c + 2*r**2 - 36*r.
5*(r - 5)**2
Suppose -115/4*y**3 + 117*y - 27 - 285/4*y**2 + 7/4*y**5 + 33/4*y**4 = 0. What is y?
-6, -3, 2/7, 1, 3
Let t be (-11 + (-1098)/(-90))/(36/60). Let 1/4*l**4 - 1/4*l + 1/4*l**3 - 3/4*l**t + 1/2 = 0. Calculate l.
-2, -1, 1
Suppose -4 = -a - 3*q + 3, 5*q = 4*a - 11. Let -38*m**2 + 64 + 420*m**a + 292*m**3 - 339*m**2 - 112*m + 73*m**2 = 0. What is m?
-1, -2/3, 2/5, 4/7
Let q(d) = 14*d**2 - 853*d - 3207. Let w(t) = 11*t**2 - 640*t - 2406. Let i(v) = -10*q(v) + 13*w(v). Factor i(z).
3*(z + 4)*(z + 66)
Let t(x) be the third derivative of 8*x**3 + 1/40*x**6 - 1/60*x**7 + 1/672*x**8 + 53*x**2 - 17/6*x**4 + 13/30*x**5 + 0*x + 0. Solve t(b) = 0.
-3, 2, 4
Let f = -50/93 - -1600/93. Let c = 4887 - 4884. Find o such that 38/3*o**2 + 8/3*o**5 + 2/3 + f*o**c + 32/3*o**4 + 14/3*o = 0.
-1, -1/2
Factor 30*d - 18 - 37/2*d**2 + 5*d**3 - 1/2*d**4.
-(d - 3)**2*(d - 2)**2/2
Let i(j) = 7*j**4 - 119*j**3 - 11*j**2 + 111*j + 8. Let s(f) = f**4 - 2*f**3 - 2*f**2 + 2. Let a(w) = i(w) - 4*s(w). Factor a(k).
3*k*(k - 37)*(k - 1)*(k + 1)
Let g(c) be the first derivative of c**6/1080 + c**5/90 + c**4/24 - 130*c**3/3 + 198. Let u(v) be the third derivative of g(v). Factor u(l).
(l + 1)*(l + 3)/3
Suppose -59 = -16*p + 98 - 45. Let o(v) be the first derivative of 0*v - 4/3*v**2 + p + 2/9*v**3. Factor o(n).
2*n*(n - 4)/3
Let t be (5/2 + -2)*(-748)/(-34). Factor -t - 24*s - 366*s**2 + 181*s**2 - 29 + 183*s**2.
-2*(s + 2)*(s + 10)
Let s(t) be the first derivative of 23763*t**3/10 + 1068*t**2/5 + 32*t/5 + 1551. Let s(o) = 0. What is o?
-8/267
Let u = 137907 + -137902. Suppose -9/5*k**4 - 3/5*k**u + 0 + 9/5*k**2 + 0*k + 3/5*k**3 = 0. Calculate k.
-3, -1, 0, 1
Let i(s) be the second derivative of s**7/84 - 7*s**6/12 + 71*s**5/8 - 325*s**4/24 - 1690*s**3/3 - 2197*s**2 + 1596*s. Factor i(u).
(u - 13)**3*(u + 2)**2/2
Suppose -5*t = -3*k + 59, -5*k - 5*t = -2*k - 49. Suppose 6*g - 37 = 23. Factor 17*b**2 - 6 + 15*b + g*b**2 - k*b**2.
3*(b + 2)*(3*b - 1)
Let s(r) be the second derivative of -3*r**5/20 + 7*r**4/4 + 49*r**3/2 - 1029*r**2/2 + 33*r - 5. Factor s(d).
-3*(d - 7)**2*(d + 7)
Suppose -23*d = 11*d - 81*d - 112*d. Factor 8/9*v + 1/9*v**2 + d.
v*(v + 8)/9
Let b(w) = 185*w**3 + 1290*w**2 - 12540*w + 18700. Let t(q) = -17*q**3 - 117*q**2 + 1140*q - 1700. Let n(k) = 6*b(k) + 65*t(k). Factor n(d).
5*(d - 5)*(d - 2)*(d + 34)
Suppose -5*b - 10 = -4*g, 0 = b - 2*b + 2*g - 8. Let f(h) = 19*h + 9. Let d be f(b). Factor -3*z - 2*z**3 + d*z**2 - 41*z**2 - z.
-2*z*(z - 2)*(z - 1)
Let t = 283357 - 849019/3. Let -2/3*u**4 + 32*u**3 - t*u**2 - 800*u - 1250/3 = 0. Calculate u.
-1, 25
Let g(x) be the second derivative of -x**6/135 + x**5/90 + 5*x**4/27 + 8*x**3/27 - 3*x - 310. Solve g(y) = 0.
-2, -1, 0, 4
Suppose -176 + 15/2*z**3 + 73*z**2 + 96*z - 1/2*z**4 = 0. Calculate z.
-4, 1, 22
Factor 3425/2 - 5/4*j**2 + 3415/4*j.
-5*(j - 685)*(j + 2)/4
Let f = 2276/3419 - -10/10257. Factor 2/15*l**4 + 0*l + f*l**3 + 0 + 2/5*l**2 - 2/15*l**5.
-2*l**2*(l - 3)*(l + 1)**2/15
What is f in -5172*f - 402*f**4 - 6838*f - 12932*f**2 + 4045*f**3 - 7664*f + 9*f**5 + 27006*f - 1152 = 0?
1/3, 6, 32
Solve -18 - 1530*z**3 - 1258*z**2 + 75*z**4 + 570*z - 45 - 559*z**2 + 845*z**2 = 0.
-1, 1/5, 21
Suppose 36 - 37 = -38*q + 75. Factor 87/5*t**q - 135 - 117*t - 3/5*t**3.
-3*(t - 15)**2*(t + 1)/5
Let h(q) be the first derivative of -4*q**5/5 - 3*q**4 + 20*q**3/3 + 6*q**2 - 16*q - 3975. Factor h(v).
-4*(v - 1)**2*(v + 1)*(v + 4)
Let w = 268 - 264. Let g be ((-3)/(-4))/(w*(-21)/(-56)). Factor 0*p + 0*p**2 - 1/2*p**3 + g*p**4 + 0.
p**3*(p - 1)/2
Let u(s) be the third derivative of s**7/1050 + 2*s**6/25 + 207*s**5/100 + 529*s**4/60 + 322*s**2. Factor u(q).
q*(q + 2)*(q + 23)**2/5
Let b be 0/(9 - -19)*(11/2)/11. Let b + 16/5*g**2 - 24/5*g - 2/5*g**3 = 0. What is g?
0, 2, 6
Solve 231*u**2 + 1287*u**3 - 117*u - 2392*u**3 + 1111*u**3 = 0.
-39, 0, 1/2
Determine w, given that -764/3*w**2 + 784 - 1484/3*w - 100/3*w**3 - 4/3*w**4 = 0.
-12, -7, 1
Let w be (300/80)/(3/32). Suppose 590 = 55*i + w. Factor 7/4*q**2 - 3 - i*q.
(q - 6)*(7*q + 2)/4
Let l be (14 - 31) + 1/1. Let q be (-6 + 3)/(12/l). Let -12*f**3 + 5*f**3 + 2*f**4 - 20*f + 18*f**2 + 8 - f**q = 0. Calculate f.
1, 2
Let h(c) be the first derivative of c**4/12 - 10*c**3/3 - 43*c**2/6 + 124*c - 189. Let h(q) = 0. What is q?
-4, 3, 31
Let q(s) = 10*s - 80. Let a be q(10). Suppose -4*l + a = 2*z, 2*z + 4 = 27*l - 25*l. Factor 0 + 24*y**z + 75/2*y**4 + 0*y - 84*y**3 - 9/2*y**5.
-3*y**2*(y - 4)**2*(3*y - 1)/2
Let s be (1950/18)/13 + (3 - 9). Let g(w) be the second derivative of s*w**3 - 2*w**2 - 1/2*w**4 + 0 - 28*w. Suppose g(l) = 0. Calculate l.
1/3, 2
Let f(g) be the second derivative of 0*g**4 - 1/165*g**6 + 0*g**5 + 132 - 2*g + 0*g**3 + 1/231*g**7 + 0*g**2. Factor f(p).
2*p**4*(p - 1)/11
Let l(f) = -25*f**3 - 77*f**2 + 21. Let a be l(-3). Factor 1/2*j**4 - a*j**3 + 13/2*j**2 - 6*j + 2.
(j - 2)**2*(j - 1)**2/2
Let s(o) be the second derivative of 17*o**4/2 + 49*o**3/3 - 2*o**2 + 1365*o. Factor s(h).
2*(h + 1)*(51*h - 2)
Let m(j) be the third derivative of j**8/952 - 11*j**7/357 - 43*j**6/1020 + 91*j**5/510 + 19*j**4/51 - 959*j**2. Let m(o) = 0. Calculate o.
-1, 0, 4/3, 19
Suppose -534/7*v + 14*v**2 + 774/7 - 2/7*v**3 = 0. Calculate v.
3, 43
Suppose 2*z - 12 = 2*v, 0 = 5*v + 4*z - 324 + 300. Factor 3*o**2 + 1/4*o**3 + v + 9*o.
o*(o + 6)**2/4
Let i be (-12)/(-72) - (4 - 45/9)*(-17)/(-6). Let -2/3*k**2 + 0*