**5 + 1/273*o**7 + 0. Suppose i(r) = 0. Calculate r.
-2, -1, 0
Suppose -2*t - 14 = -4*f, 2*f + 10*t = 13*t + 9. Let o(p) be the first derivative of -2 - 8/9*p + 0*p**2 + 2/27*p**f. Factor o(x).
2*(x - 2)*(x + 2)/9
Suppose -178*f - 576 = -202*f. Suppose -44*h + 136 = f*h. Determine g so that 2*g**h + 2/3*g - 2 - 2/3*g**3 = 0.
-1, 1, 3
Suppose 26 = 2*h + 5*m, 2*m + 0*m - 5 = h. Factor 5*d**4 - 8190 + 30*d - 30*d**h + 8165 + 4*d**2 + 16*d**2.
5*(d - 5)*(d - 1)**2*(d + 1)
Factor 16/7*z**3 + 104/7 + 90/7*z**2 + 24*z.
2*(z + 2)**2*(8*z + 13)/7
Let o = -169 + 171. Solve 2*n**5 + n**o + 12*n**4 - 4*n**5 + 0*n**5 - 24*n**3 + 15*n**2 = 0 for n.
0, 2
Let t be 1/(219/(-111) - -2). Factor -t*a + 0*a**2 - a**2 + 2*a - 4*a**2.
-5*a*(a + 7)
Let r(a) = 2*a**3 - 169*a**2 + 1512*a - 119948. Let o be r(84). Solve 0 + 16/9*v + 4/3*v**3 + 2/9*v**o - 10/3*v**2 = 0 for v.
-8, 0, 1
Let d(t) = 4*t**4 - 18*t**3 - 26*t**2 - 18*t - 14. Let l be 1/2 - 9*1/6. Let n(j) = -j**4 + j**3 - j + 1. Let z(k) = l*d(k) - 6*n(k). Factor z(o).
2*(o + 1)**2*(o + 2)**2
Suppose -5*n - 58 = -73. Determine t, given that -40 + 138*t - 259*t + 25*t**2 + 5*t**n + 131*t = 0.
-4, -2, 1
Let y(p) be the first derivative of p**3/5 + 93*p**2/10 - 96*p/5 - 1221. Factor y(l).
3*(l - 1)*(l + 32)/5
Let h(x) be the second derivative of -3*x**5/20 - 163*x**4/4 + 83*x**3 + 492*x**2 - 983*x. Factor h(i).
-3*(i - 2)*(i + 1)*(i + 164)
Suppose 1/3*m**4 - 130/3*m**3 - 4225/3 + 1408*m**2 + 130/3*m = 0. Calculate m.
-1, 1, 65
Let c(t) be the first derivative of -5/4*t**2 + 19/20*t**5 + 9/32*t**4 + 3*t + 11/48*t**6 + 109 - 31/12*t**3. Find o, given that c(o) = 0.
-2, -1, 6/11, 1
Let r(g) be the second derivative of -3*g**7/28 - 11*g**6/5 + 71*g**5/40 + 181*g**4/12 - 103*g**3/3 + 30*g**2 + 360*g. Find d such that r(d) = 0.
-15, -2, 2/3, 1
Let g(b) be the first derivative of -5/6*b**2 + 4/3*b + 1/9*b**3 + 69. Factor g(y).
(y - 4)*(y - 1)/3
Suppose 5 = 3*w + 5*i - 4*i, 4*w + i = -2*i. Factor 2/3*k + 25/6*k**w + 10/3*k**2 + 0.
k*(5*k + 2)**2/6
Let a = 3139/2601 + 165/289. Factor -8/9 + 2/3*o**3 - 2/9*o**2 - a*o.
2*(o - 2)*(o + 1)*(3*o + 2)/9
Suppose 36 - 176 + 24 = -58*x. Factor 1/5*b**x + 0 + 19/5*b.
b*(b + 19)/5
Let k(h) be the first derivative of h**3 + 249*h**2 + 495*h + 2956. Let k(m) = 0. Calculate m.
-165, -1
Let z be 8/5 - (-6)/15. Let y(a) be the first derivative of a**3 + 6*a**2 + 2*a + 3441. Let c(m) = -2*m**2 - 13*m - 3. Let p(w) = z*c(w) + 3*y(w). Factor p(q).
5*q*(q + 2)
Suppose 1149/4 + 1147/4*o**2 - 2297/4*o + 1/4*o**3 = 0. Calculate o.
-1149, 1
Let n(z) be the first derivative of 0*z**2 + 1/25*z**5 - 1/10*z**4 + 0*z + 35 + 1/30*z**6 + 0*z**3. Determine w so that n(w) = 0.
-2, 0, 1
Let n(h) be the second derivative of 262*h - 49/2*h**3 + 1/10*h**6 + 3/20*h**5 - 19/4*h**4 - 45*h**2 + 0. Suppose n(m) = 0. What is m?
-3, -2, -1, 5
Let f be (-6)/(-4) + ((-825)/525)/(66/(-21)). Let h(p) = p**2 + 7*p + 9. Let g be h(-6). Factor 0 + 0*w - 3/2*w**4 - 3/2*w**g + 0*w**f.
-3*w**3*(w + 1)/2
Factor 746*g**3 - 68*g**4 - 2856*g**2 - 2845*g**5 + 950*g**5 + 953*g**5 + 3528*g + 944*g**5.
2*g*(g - 14)**2*(g - 3)**2
Let x(t) be the second derivative of t**5/15 + 772*t**4/3 + 3086*t**3/3 + 4628*t**2/3 + 3682*t. Factor x(c).
4*(c + 1)**2*(c + 2314)/3
Let o(g) be the second derivative of -g**6/6 - 25*g**5/4 - 115*g**4/6 + 730*g. Find l, given that o(l) = 0.
-23, -2, 0
Let o(l) be the third derivative of 1 + 0*l**5 + 1/315*l**7 + 0*l + 0*l**4 + 1/45*l**6 + l**2 + 0*l**3. Factor o(h).
2*h**3*(h + 4)/3
Let x = -3061444/9 - -340166. Factor 0 + 10/9*u**4 + 32/9*u**3 - x*u**5 + 8/9*u**2 + 0*u.
-2*u**2*(u - 1)*(5*u + 2)**2/9
Determine n so that 345*n**2 + 3308*n - 335*n**3 - 6213*n - 5*n**4 + 3240*n - 340 = 0.
-68, -1, 1
Let a(c) be the third derivative of c**10/75600 - c**9/5040 - c**8/1440 + c**5/4 - 2*c**2 + 1. Let u(q) be the third derivative of a(q). What is y in u(y) = 0?
-1, 0, 7
Let k(o) be the first derivative of -1/36*o**4 - 1 + 1/90*o**5 - 8*o**2 + 0*o - 2/9*o**3. Let w(v) be the second derivative of k(v). Factor w(i).
2*(i - 2)*(i + 1)/3
Let b(o) = o**2 + 1. Let z(v) = 4*v**3 - 16*v - 20. Let a = -48 + 44. Let d = 0 + a. Let q(h) = d*b(h) - z(h). Factor q(g).
-4*(g - 2)*(g + 1)*(g + 2)
Factor 52/19*s**2 + 2/19*s**3 + 46/19*s - 100/19.
2*(s - 1)*(s + 2)*(s + 25)/19
Let g(b) = -3*b**2 + 3*b - 1. Let p(u) = -8*u**2 + 1079*u + 286222. Let x(m) = 3*g(m) - p(m). Factor x(f).
-(f + 535)**2
Let p(w) be the third derivative of -3/160*w**6 + 31*w**2 + 0 + 0*w**5 + w + 0*w**3 - 1/448*w**8 + 0*w**4 + 1/70*w**7. Suppose p(o) = 0. Calculate o.
0, 1, 3
Suppose 13*a**2 + 45*a + 28*a + 380 - 17*a - 20*a**2 + 3*a**2 = 0. What is a?
-5, 19
Factor -1603*m - 2569609/2 - 1/2*m**2.
-(m + 1603)**2/2
Let y(d) be the first derivative of -4*d**5 + 0*d**2 + 8*d**4 + 2/3*d**6 + 0*d - 16/3*d**3 + 51. Determine l, given that y(l) = 0.
0, 1, 2
Let n(x) be the first derivative of 5*x**6/6 + 16*x**5 + 435*x**4/4 + 920*x**3/3 + 280*x**2 + 1780. Factor n(i).
5*i*(i + 1)*(i + 4)**2*(i + 7)
Let h be 9/(-6) + 2 + -382 + 385. Factor 1/4*y**2 - 9/4*y + h.
(y - 7)*(y - 2)/4
Let m(h) be the first derivative of -h**5/20 - 21*h**4/16 - 73*h**3/12 - 87*h**2/8 - 17*h/2 - 2572. Factor m(n).
-(n + 1)**2*(n + 2)*(n + 17)/4
Let h be (11 + -5*(-42)/(-35) - 5)/(-2). Let k(x) be the second derivative of -1/100*x**5 + 2/5*x**2 - 28*x + 0*x**3 + h - 1/20*x**4. What is v in k(v) = 0?
-2, 1
Let y(l) be the first derivative of 1/5*l + 66 + 1/5*l**2 - 1/10*l**4 - 1/15*l**3. Let y(d) = 0. What is d?
-1, -1/2, 1
Let d(w) be the second derivative of -49/10*w**3 - 1/100*w**5 - 25*w + 0 - 7/20*w**4 - 343/10*w**2. Factor d(o).
-(o + 7)**3/5
Let x(c) be the second derivative of -c**4/30 - 4*c**3/5 - 11*c**2/5 - 1320*c. Factor x(w).
-2*(w + 1)*(w + 11)/5
Let u(h) be the first derivative of 3*h**5/25 - 1359*h**4/20 + 1353*h**3/5 - 4053*h**2/10 + 270*h - 207. Find l, given that u(l) = 0.
1, 450
Solve -2/19*s**5 + 0 + 50/19*s**4 - 50/19*s**2 - 46/19*s**3 + 48/19*s = 0 for s.
-1, 0, 1, 24
Let h(i) be the third derivative of -35*i**2 + 1/3*i**4 + 0 + 0*i**3 + 1/30*i**5 + 0*i. Factor h(c).
2*c*(c + 4)
Let t(u) = -498*u - 20916. Let j be t(-42). Suppose -2*i = -0 - 6. Factor 0*k - 2/7*k**2 + j - 2/7*k**5 + 2/7*k**4 + 2/7*k**i.
-2*k**2*(k - 1)**2*(k + 1)/7
Suppose -4370 = 9*v - 428. Let j = 441 + v. Determine w so that -1/8*w**5 + 1/2*w**4 + 5/2*w - 7/4*w**2 - 1 - 1/8*w**j = 0.
-2, 1, 2
Let f be (-3)/5 - ((-94)/(-10) - -1). Let n = f + 18. Solve n*u**3 + 9*u + 9*u**3 + 10*u**2 - u - 46*u**2 = 0 for u.
0, 1/4, 2
Let h(g) be the first derivative of -g**3/7 + 213*g**2/7 + 3600*g/7 - 4387. Suppose h(x) = 0. What is x?
-8, 150
Let p(b) be the first derivative of 5*b**3/3 + 275*b**2 + 1080*b - 4146. Factor p(z).
5*(z + 2)*(z + 108)
Let i(d) be the second derivative of -d**4/12 + d**3 - 4*d**2 - 505*d. Factor i(n).
-(n - 4)*(n - 2)
Factor -179/7*u + 180/7 - 1/7*u**2.
-(u - 1)*(u + 180)/7
Let j(f) be the second derivative of -1/12*f**4 + 0 + 1/3*f**3 + 1/30*f**6 + 29*f + 0*f**2 - 1/10*f**5. Solve j(c) = 0 for c.
-1, 0, 1, 2
Let s be (-11)/(-2) + -5 + (-8)/16. Suppose s = -17*q + 2*q - 0*q. Solve q + 2/13*v - 2/13*v**2 = 0.
0, 1
Let s(i) = -12*i - 794. Let n be s(-67). Let k(b) = -b**3 - 6*b**2 - 6*b + 5. Let t be k(-5). Solve -n + 36*y - 4*y**3 - t*y - 14*y**2 + 2*y = 0.
-5, 1/2, 1
Solve 0 + 69/5*l**2 - 54*l - 3/5*l**3 = 0.
0, 5, 18
Factor -478 + 3107*m - 6029*m + 24*m**2 - 3*m**3 - 404 + 3027*m.
-3*(m - 7)**2*(m + 6)
Let z(w) be the first derivative of -w**3/3 + 26*w**2 + 53*w + 504. Factor z(h).
-(h - 53)*(h + 1)
Let c(k) = 12*k**3 + 19436*k**2 - 4704448*k - 4723936. Let a(s) = -2*s**3 - 3887*s**2 + 940890*s + 944787. Let j(w) = 16*a(w) + 3*c(w). Factor j(r).
4*(r - 486)**2*(r + 1)
Let i(o) = 17*o - 167. Let v be i(10). Let a(h) = -7*h**3 + 3*h**2 + 10*h - 2. Let r(p) = -8*p**3 + 2*p**2 + 10*p - 3. Let t(c) = v*a(c) - 2*r(c). Factor t(k).
-5*k*(k - 2)*(k + 1)
Let f(v) be the third derivative of 0 + 2/105*v**7 + 1/3*v**5 + 7/6*v**4 - 4*v**3 - 6*v**2 - 7/30*v**6 + 9*v. Factor f(p).
4*(p - 6)*(p - 1)**2*(p + 1)
Let y be (-8 - -8) + ((4/(-5))/(-4) - 182/(-90)). Factor -22/9 - y*b + 2/9*b**2.
2*(b - 11)*(b + 1)/9
Let g(t) be the second derivative of 10/7*t**3 - 1 - 1/70*t**6 - 164*t + 3/20*t**5 - 9/1