ine p, given that c(p) = 0.
0, 1, 2
Factor -238/5*u - 18/5*u**3 + 0 - 258/5*u**2 + 2/5*u**4.
2*u*(u - 17)*(u + 1)*(u + 7)/5
Suppose 4*l + 405 = 22*l - 63. Let i(m) be the first derivative of -5/7*m**3 + 0*m + l - 9/14*m**2. Factor i(f).
-3*f*(5*f + 3)/7
Let w be 45/(-8) - (-4 + (-315)/(-72)). Let u be ((-34)/(-36) - 1)*w. Factor -u*d**3 + 0 + 0*d - 1/3*d**4 + 1/3*d**5 + 1/3*d**2.
d**2*(d - 1)**2*(d + 1)/3
Let u(j) = 5*j**4 + j**3 + j**2 - j - 2. Let s(o) = 36*o**4 - 79*o**3 + 259*o**2 - 257*o + 69. Let y(m) = 2*s(m) - 14*u(m). Suppose y(q) = 0. What is q?
1, 83
Let y(d) be the first derivative of 1/42*d**4 + 0*d**2 + 4/21*d**3 - 64/21*d + 18. Factor y(n).
2*(n - 2)*(n + 4)**2/21
Let j(l) be the first derivative of l**4/2 + 548*l**3 + 225228*l**2 + 41141648*l + 129. Factor j(t).
2*(t + 274)**3
Let q(x) be the first derivative of 59 + 1/8*x**4 - 1/4*x**2 - 1/3*x**3 + x. Factor q(v).
(v - 2)*(v - 1)*(v + 1)/2
Let g(u) = 8*u**2 - 128*u + 126. Let b(q) = -25*q**2 + 384*q - 376. Let o(y) = 6*b(y) + 17*g(y). Solve o(d) = 0 for d.
1, 57/7
Let y(f) be the second derivative of -f**5/20 + f**4/12 + 10*f**3/3 + 96*f - 5. Factor y(m).
-m*(m - 5)*(m + 4)
Suppose -9*z + 20*z - 22 = 0. Suppose -10 = z*g - 2*a, -4*a + 8 = 3*g - 12. Factor -2/7*i**5 + 0*i**3 + 0*i**2 + 0 + g*i - 2/7*i**4.
-2*i**4*(i + 1)/7
Let o be (-36 + 25)/(-1) - (9 + 0). Let p(t) be the second derivative of 39*t + 0*t**o + 0 + 0*t**3 + 0*t**4 - 1/80*t**5 + 1/120*t**6. Solve p(d) = 0.
0, 1
Let r = -14454/5 + 43382/15. Let k(y) be the second derivative of 0 - 43*y + r*y**2 - 7/9*y**3 + 1/9*y**4 + 1/30*y**5. Solve k(w) = 0.
-4, 1
Factor 770/9*z**3 + 0 - 2/9*z**4 + 0*z**2 + 0*z.
-2*z**3*(z - 385)/9
Let w = 302896 - 302894. Find p, given that 3/4*p**w + 0 + 3/4*p**3 + 0*p = 0.
-1, 0
Let s(u) be the third derivative of u**6/72 - 37*u**5/180 + 7*u**4/36 - 4*u**2 - 446*u. Suppose s(z) = 0. What is z?
0, 2/5, 7
Let m = -522878 - -522887. Factor 47/2*z**4 + 0*z + 0 - 5/2*z**5 - m*z**3 + 0*z**2.
-z**3*(z - 9)*(5*z - 2)/2
Let p(h) = 36*h - 20*h + 11 - 15*h - 13. Let t(b) = 3*b**2 + 30*b - 51. Let j(n) = -18*p(n) + t(n). Determine d, given that j(d) = 0.
-5, 1
Let s = 84277/180 - 2341/5. Let t(k) be the third derivative of 0 + 0*k - 1/36*k**4 + 1/945*k**7 - 19*k**2 - 2/27*k**3 + 1/270*k**5 + s*k**6. Factor t(z).
2*(z - 1)*(z + 1)**2*(z + 2)/9
Let g = -1 + 32. Let d be (0 + -1)*-4*1118/172. Let -c**2 - g*c + d*c + 6*c**2 = 0. What is c?
0, 1
Let q = 40946 - 40942. Let 243/8 - 6*j**3 + 3/8*j**q + 54*j + 69/4*j**2 = 0. What is j?
-1, 9
Suppose 3 = 1269*h - 1265*h + 3*m, -2*h + m - 1 = 0. Let x(o) be the third derivative of 0 + 0*o + 3*o**2 + 1/42*o**4 - 1/105*o**5 + h*o**3. Factor x(l).
-4*l*(l - 1)/7
Let v be 53/12 + (-2)/(-4)*(-41)/(-246). Solve v - 7/2*d**2 + 9*d = 0.
-3/7, 3
Let h(o) be the second derivative of -o**6/24 + 7*o**5/12 - 15*o**2 - 19*o. Let w(s) be the first derivative of h(s). Factor w(v).
-5*v**2*(v - 7)
Let x(u) be the first derivative of 2*u**6/15 - 24*u**5/25 - 28*u**4/5 + 88*u**3/3 - 234*u**2/5 + 32*u + 2412. Let x(k) = 0. What is k?
-5, 1, 8
Let b(f) = -f**4 + 17*f**3 + 220*f**2 + 878*f + 866. Let r(t) = 30*t**3 + 222*t**2 + 879*t + 867. Let s(n) = 3*b(n) - 2*r(n). What is q in s(q) = 0?
-8, -2, 9
Let p = 424 - 395. Suppose -p*a**3 - 31*a**3 - 112*a + 75*a**3 - 27*a**3 + 48 + 68*a**2 = 0. What is a?
2/3, 2, 3
Suppose 337 = 6*s + 167 + 170. Let u(v) be the second derivative of 2/15*v**3 + s*v**2 + 1/100*v**5 + 30*v - 1/15*v**4 + 0. Factor u(c).
c*(c - 2)**2/5
Let r(h) be the first derivative of -h**6/3420 - 3*h**5/380 - 86*h**3/3 - 38. Let f(c) be the third derivative of r(c). Factor f(n).
-2*n*(n + 9)/19
Let q be (100/128*-4)/(5/60)*(-50)/4. Factor q + 225/2*z**2 + 3/4*z**4 + 15*z**3 + 375*z.
3*(z + 5)**4/4
Determine w so that 1/3*w**3 - 284/3*w - 35/3*w**2 - 140 = 0.
-5, -2, 42
Factor 1/5*v**3 - 252/5 + 216/5*v - 47/5*v**2.
(v - 42)*(v - 3)*(v - 2)/5
Let b(w) be the third derivative of -57*w**2 + 0*w**4 - 1/100*w**6 + 0*w + 0 + 1/75*w**5 + 1/525*w**7 + 0*w**3. Find q such that b(q) = 0.
0, 1, 2
Factor -2*r**4 + 10348*r - 66*r**3 - 5224*r - 334*r**2 - 5394*r.
-2*r*(r + 1)*(r + 5)*(r + 27)
Suppose 14157*f = 14044*f + 565. Solve -3*x**2 - 1/3*x**3 - f - 23/3*x = 0 for x.
-5, -3, -1
Let i = 66 - 63. Suppose -40 = i*y - 5*y. Find d such that 20*d - 5*d**4 - 15*d**2 - 9*d**3 - 16*d**3 + 5*d**3 + y = 0.
-2, -1, 1
Let k(o) = 12*o. Let z(u) = 27*u + 1. Let n(t) = -3*k(t) + 2*z(t). Let f be n(0). Factor -2/15*c**f - 96/5 + 16/5*c.
-2*(c - 12)**2/15
Let q(z) be the first derivative of -z**6/30 + 3*z**5/5 - 7*z**4/5 - 68*z**3/5 - 16*z**2 - 6580. Suppose q(x) = 0. What is x?
-2, -1, 0, 8, 10
Let x be (-18993)/(-15) - (-12)/15. Suppose -15*i + 83 = -x. Find u, given that 27 + 20*u + 64*u + 3*u**4 + 28*u**3 + i*u**2 - 23*u**3 + 31*u**3 = 0.
-9, -1
Factor 2*o**4 - 355688*o - 633*o**3 + 43326*o**2 - 43*o**3 + 162*o**3 - 5268024 - 779662*o.
2*(o - 87)**3*(o + 4)
Let q(l) = -594*l**2 - 11*l - 11. Let t be q(-1). Let z = t + 5347/9. Solve z*s**2 + 0 + 0*s = 0 for s.
0
Let a(z) = 5*z**2 - z - 6. Let c(m) = -m**2 - m. Let s(f) = a(f) - 2*c(f). Let y(r) = 13*r**2 + r - 11. Let l(o) = -11*s(o) + 6*y(o). Let l(n) = 0. What is n?
0, 5
Let q = -1860 - -1865. Let u(i) be the second derivative of 0*i**2 + 0 - 1/42*i**4 + 1/42*i**3 - 10*i + 1/140*i**q. Factor u(v).
v*(v - 1)**2/7
Let k(h) = -2*h**4 - h**2 + 1. Let j(o) = -55*o**4 - 5*o**3 - 45*o**2 + 5*o + 40. Let r(b) = j(b) - 30*k(b). Factor r(t).
5*(t - 2)*(t - 1)*(t + 1)**2
Factor 40*y**2 - 25*y**3 + 5*y**4 + 63015*y - 31516*y - 31519*y.
5*y*(y - 2)**2*(y - 1)
Let k(m) = -9*m**3 - 23*m**2 - 80*m + 100. Let v(y) = -2*y**3 - y**2. Let a = -121 + 141. Let z(o) = a*v(o) - 5*k(o). Solve z(p) = 0.
-10, 1
Let y be 6/(2/(-12)*-18). Let b = 18 - 13. Factor -8*z + 0*z + 3*z**y - 2*z + b + 2*z**2.
5*(z - 1)**2
Suppose 0 = -14*h + 18*h - 12. Suppose -a + 3*y = 3*a - 3, h*a - 2*y = 2. Find b such that 0*b - 4/9*b**2 - 2/3*b**3 + a + 0*b**4 + 2/9*b**5 = 0.
-1, 0, 2
Let -58/5*o**4 + 0 - 2/5*o**5 + 0*o - 52/5*o**3 + 112/5*o**2 = 0. Calculate o.
-28, -2, 0, 1
Solve -90 - 248*q**2 - 188*q**2 + 82 - 444*q = 0.
-1, -2/109
Let d(w) = -w**2 + 11*w + 4. Suppose 231 = 13*y + 8*y. Let q be d(y). Factor 1/3*b**2 - 4/3 - b**3 + q*b.
-(b - 2)*(b + 2)*(3*b - 1)/3
Let p(q) = -10*q + 21. Let n be p(8). Let x = n + 62. Determine d so that -6*d**2 + d**4 + 2*d**2 + d - x*d + d**2 = 0.
-1, 0, 2
Let x(j) = 29*j**2 - 180*j - 78. Let y(q) = -92*q**2 + 539*q + 233. Let u(c) = 7*x(c) + 2*y(c). Factor u(z).
(z - 10)*(19*z + 8)
Suppose -12*g + 5 = -b - 8*g, -2*b + g = -4. Suppose 0 = 3*j + 8*c - 6*c - 6, 9 = -b*c. Factor 0*t + 0*t**2 + 0 + 2/13*t**5 + 6/13*t**3 + 8/13*t**j.
2*t**3*(t + 1)*(t + 3)/13
Factor 96 - 46/3*f**2 + 2/3*f**3 + 80*f.
2*(f - 12)**2*(f + 1)/3
Determine r so that 28*r**3 - 601*r + 248*r - 500*r**2 + 308 - 486*r + 2923*r = 0.
-1/7, 7, 11
Let s(w) = -w**2 - 53*w - 1. Let g(a) = 3*a**2 + 264*a - 162. Let q(z) = -g(z) - 6*s(z). Factor q(p).
3*(p + 4)*(p + 14)
Let d(j) = 2*j**2 + 835*j + 297. Let f(o) = -o**2 - 374*o - 148. Let z(c) = -4*d(c) - 9*f(c). Factor z(a).
(a + 8)*(a + 18)
Let j = 10161 + -30214/3. Let z = j + -89. Factor 0*s + 0 + z*s**2.
2*s**2/3
Let z be 9/(294/(-72) - -4). Let w be (z/182)/(69/(-322)). Suppose -2*h**4 - 10/13*h**3 + 6/13*h**5 + 114/13*h**2 + 0 - w*h = 0. Calculate h.
-2, 0, 1/3, 3
Let j = 576 - 569. Factor -5 + 42*c**2 + 5*c**4 + j + 0 - 7*c**3 - 45*c**2 + 7*c - 4.
(c - 1)**2*(c + 1)*(5*c - 2)
Let i(t) = t**3 - 5*t**2 + t + 16. Let q be i(4). Suppose z - 3 = -0*z. Factor 11*s**4 - 4*s**4 - s**q - 13*s**z - s**3 + 8*s.
2*s*(s - 2)*(s - 1)*(3*s + 2)
Let m(r) be the first derivative of r**5/25 + 139*r**4/20 + 1633*r**3/5 + 4761*r**2/10 + 232. Factor m(q).
q*(q + 1)*(q + 69)**2/5
What is a in 514/3*a**2 + 700/3*a**3 - 190/3*a - 4/3 = 0?
-1, -1/50, 2/7
Let l = 445 - 256. Determine r, given that l - 97 - 92 - 10*r**3 + 6*r**2 + 18*r + 2*r**4 = 0.
-1, 0, 3
Let m be 4165/(-105) + (-820)/(-20). Factor 4096/3 - 256/3*w + m*w**2.
4*(w - 32)**2/3
Suppose -4*p + 2033*t + 28 = 2028*t, 5*t = 2*p - 24. Solve 4/15*z**3 + 0*z + 0*z**p + 0 + 6/5*z**4 = 0 for z.
-2/9, 0
Factor -640*j**2 - 1462050 + 321*j**2 + 317*j**2 + 1269*j + 2151*j.
-2*(j - 855)**2
Let l(f) be the