e third derivative of g**5/60 + 139*g**4/4 + 12*g**2 + 4*g + 4. Factor x(y).
y*(y + 834)
Let d(g) be the first derivative of 16*g**2 + 4/3*g**3 + 16*g - 3*g**4 + 129. Solve d(v) = 0 for v.
-1, -2/3, 2
Let d(n) = 15*n**2 + 435*n + 8. Let f(q) = 20*q**2 + 580*q + 11. Let s(g) = 11*d(g) - 8*f(g). Factor s(c).
5*c*(c + 29)
Let b(t) be the third derivative of -5*t**6/72 - 1387*t**5/12 + 694*t**4/3 - 1666*t**3/9 + 1360*t**2. Factor b(m).
-(m + 833)*(5*m - 2)**2/3
Let z = -639083 - -639085. Let 1/4*k**3 + 9/4*k**z + 5 + 6*k = 0. Calculate k.
-5, -2
Let h(x) = x**2 + 17*x - 20. Let p be h(-18). Let j be (p - 2)/(1/21*-2). Solve -d**3 + j*d - 24*d + 10*d**2 - 7*d**3 - 22*d + 2*d**4 = 0.
0, 1, 2
Suppose 0*i - 4 = -i. Let a(f) = -f**2 + 2249*f - 13455. Let s be a(6). Suppose 0 + 4*r + 12/5*r**s + 4/5*r**i - 36/5*r**2 = 0. What is r?
-5, 0, 1
Suppose 25*c - 6*c = 798. Suppose -72 = 18*x - c*x. Factor 26/7*r - 16/7*r**2 - 12/7 + 2/7*r**x.
2*(r - 6)*(r - 1)**2/7
Let d(m) be the third derivative of m**5/150 - 181*m**4/60 - 182*m**3/15 - 1931*m**2 - m. Let d(y) = 0. What is y?
-1, 182
Let l(y) = 19*y - 163. Let t be l(9). Let i be (-68)/(-16) - 10/t. Determine z so that -2/11*z**i - 28/11*z - 14/11*z**2 - 16/11 = 0.
-4, -2, -1
Suppose g**3 - 3*g**3 - 4503*g**4 - 8 + 9*g**2 + 2*g + 4502*g**4 = 0. What is g?
-4, -1, 1, 2
Let f(i) = -i**3 - 18*i**2 + 33*i + 18. Let k be f(-20). Determine m so that -191*m**2 + 75*m**3 + k*m - 94*m**2 - 840 + 1088*m - 26*m + 5*m**4 - 285*m**2 = 0.
-21, 2
Let l(t) = t**2 + 4*t. Let b(p) = 17*p - p - 12*p. Let k(g) = 6*b(g) - 4*l(g). Suppose k(h) = 0. What is h?
0, 2
Let s(k) be the first derivative of -k**8/3360 + 11*k**7/6720 - k**6/576 - k**5/480 - 13*k**3/3 - 46. Let c(t) be the third derivative of s(t). Factor c(r).
-r*(r - 2)*(r - 1)*(4*r + 1)/8
Let l(t) = t**4 - 17*t**3 + 40*t**2 - 42*t + 6. Suppose 4*u - 112 = -4*x, 3*x + 3 + 3 = 0. Let z(m) = m**3 - m - 1. Let v(p) = u*z(p) + 5*l(p). Factor v(s).
5*s*(s - 4)**2*(s - 3)
Let k be ((-1317)/10975)/((-8)/100). What is f in 0 + k*f**3 + 9/4*f**4 - 4*f**2 + 0*f + 1/4*f**5 = 0?
-8, -2, 0, 1
Let l(y) be the first derivative of -2*y**5/5 + 71*y**4/2 + 746*y**3/3 + 529*y**2 + 456*y - 1182. Factor l(a).
-2*(a - 76)*(a + 1)**2*(a + 3)
Let u(a) = 19*a - 262. Let m be u(14). Let c be (11 + 9 - -10)/m. Solve -27*p + 12 - c*p**2 = 0.
-4, 2/5
Let u(g) be the third derivative of -g**5/240 - g**4/8 - 5*g**3/6 - 333*g**2. Factor u(n).
-(n + 2)*(n + 10)/4
Factor 15*g**3 - 162*g**2 + 5*g**4 + 75*g**3 + 387*g**2.
5*g**2*(g + 3)*(g + 15)
Let -q**2 + 9*q**2 - 13*q**4 + 81*q**3 - 157*q**3 + 84*q**3 + 15*q**4 = 0. What is q?
-2, 0
Solve -2731*f**2 - 2710 - 48*f - 1297*f - 2985*f**2 - 5*f**3 + 7076*f**2 = 0.
-1, 2, 271
Suppose 154*z - 8862*z**2 + 8861*z**2 + 216 - 61 = 0. Calculate z.
-1, 155
Let w(y) be the first derivative of -71 - 1728/5*y**5 - 36*y - 228*y**2 - 128/3*y**6 - 2020/3*y**3 - 876*y**4. Factor w(b).
-4*(b + 3)**2*(4*b + 1)**3
Let l(p) be the second derivative of -54*p**2 - 257*p + 4*p**3 + 0 + 1/3*p**4. Factor l(i).
4*(i - 3)*(i + 9)
Let b(f) = f + 9. Let s be b(-7). Let n = -5539/2 + 2774. Factor m - 7/2*m**s - 5/2*m**4 + n*m**3 + 0 + 1/2*m**5.
m*(m - 2)*(m - 1)**3/2
Let y(z) be the third derivative of -136*z**2 + 0*z + 0 - 35*z**4 - 49/30*z**5 - 300*z**3. Factor y(m).
-2*(7*m + 30)**2
Let y(c) be the first derivative of c**4/2 - 234*c**3/5 + 64*c**2/5 + 168*c - 3634. Factor y(h).
2*(h - 70)*(h + 1)*(5*h - 6)/5
Let v = 9388 - 9385. Let z(m) be the first derivative of 0*m**v + 35 + 0*m + 4*m**2 - 1/2*m**4. What is h in z(h) = 0?
-2, 0, 2
Let h(r) be the first derivative of r**4/7 - 440*r**3/21 + 1664*r**2/7 - 6528*r/7 + 629. Find w such that h(w) = 0.
4, 102
Determine h, given that -5485 - 5196*h**3 + 41700*h**2 + 5200*h - 26963 + 256*h**4 - 4*h**5 - 9508*h**2 = 0.
-1, 1, 12, 26
Suppose -144*b - 51 = -147*b. Suppose -b*g + 3*a = -12*g - 4, -10 = -3*g - 2*a. Let -21/5*c**3 - 27/5*c**g - 3/5 - 3*c - 6/5*c**4 = 0. Calculate c.
-1, -1/2
Suppose -5*u - x = -3, -2*x = 3*u - 4*x + 6. Suppose u = -y + 8*y - 21. What is p in 2*p**5 - 36*p**4 - 3*p**3 + 19*p**5 - 3*p**y - 6*p**3 = 0?
-2/7, 0, 2
Suppose -2*x = -62 - 60. Let k = x + -59. Find p such that -4*p**k + 125 + 5*p - 64 - 69 - 17*p = 0.
-2, -1
Let f = 2114 - 874. Factor 75 + 24*k**3 + 42*k**3 + f*k**2 + 605*k + 14*k**3.
5*(k + 15)*(4*k + 1)**2
Let z be (-15)/4 + (-50848)/(-13440). Let y(j) be the second derivative of -1/10*j**2 + z*j**3 + 0 - 8*j - 1/100*j**5 + 1/60*j**4. Find v, given that y(v) = 0.
-1, 1
Let b(h) be the first derivative of -16*h**3/27 - 3154*h**2/9 - 1576*h/9 - 3695. Factor b(v).
-4*(v + 394)*(4*v + 1)/9
Suppose 0 = 4*c + 2*s - 12, 4*c + 5*s + 13 = 19. Find z, given that -14*z**2 + z**3 + c*z + 23*z**2 - 11*z**2 - 3*z = 0.
0, 1
Let c be (-170)/(-17) + (-4)/2. Determine o so that -5*o**5 - 3*o + 4*o**2 - 5*o + c*o**5 - 7*o**4 - 6*o**4 + 14*o**3 = 0.
-2/3, 0, 1, 2
Let y(c) be the second derivative of c**6/6 + 29*c**5/4 + 275*c**4/12 + 45*c**3/2 - 403*c + 1. Factor y(g).
5*g*(g + 1)**2*(g + 27)
Let v be (8/25)/(3448/43100). Find w, given that -39/8*w**3 - 3/8*w**5 + 9/4*w**v + 9/2*w**2 + 0 - 3/2*w = 0.
0, 1, 2
Let y(h) be the second derivative of -1/70*h**6 + 4 + 3*h + 0*h**5 + 0*h**4 + 0*h**3 + 0*h**2 + 1/98*h**7. Factor y(q).
3*q**4*(q - 1)/7
Let o(v) be the first derivative of -v**5/240 - 3*v**4/16 - 27*v**3/8 + 39*v**2 - 129. Let n(p) be the second derivative of o(p). Factor n(f).
-(f + 9)**2/4
Suppose 0 = 99*u - 94*u + v + 754, -4*u - 4*v = 616. Let r be 2/15 + u/(-750). What is b in -b**2 - 1/3*b + 2/3 + r*b**3 + 1/3*b**4 = 0?
-2, -1, 1
Let x(w) = 8*w**4 - 4*w**3 - 16*w**2 - 6*w + 6. Let s(d) = -23*d**4 + 11*d**3 + 47*d**2 + 16*d - 17. Let i(f) = 6*s(f) + 17*x(f). What is b in i(b) = 0?
-3, 0, 1
Let v(c) be the third derivative of -c**6/120 - 127*c**5/30 - 15065*c**4/24 + 68644*c**3/3 - 17*c**2 - 280. Let v(i) = 0. What is i?
-131, 8
Let h(z) = 6*z**2 - 4*z + 4. Let c be h(1). Suppose -c = 6*i - 24. Factor 12*n**3 - 15*n + 10*n**2 - 15*n**i - 15*n**4 + 5*n**5 + 13*n**3 + 5.
5*(n - 1)**4*(n + 1)
Let c(w) be the second derivative of -w**7/7980 - w**6/855 - w**5/285 - 109*w**4/6 - w - 84. Let n(u) be the third derivative of c(u). Solve n(k) = 0 for k.
-2, -2/3
Let v(q) be the first derivative of -5*q**6/6 + 2*q**5 + 15*q**4 - 30*q**3 - 135*q**2/2 + 928. What is h in v(h) = 0?
-3, -1, 0, 3
Factor -937/10*l**2 + 219961/10 + 1/10*l**3 + 219023/10*l.
(l - 469)**2*(l + 1)/10
Determine m, given that -3/2*m**2 - 63075/2 - 435*m = 0.
-145
Let h(i) be the first derivative of -3*i**4/20 - 16*i**3/5 - 9*i**2/2 - 1085. Factor h(t).
-3*t*(t + 1)*(t + 15)/5
Let x(d) be the second derivative of -d**4/12 + 4*d**3 + 81*d**2/2 - 1245*d. Solve x(p) = 0.
-3, 27
Let s(w) be the third derivative of 9*w + 83/40*w**6 + 10*w**4 + 5/448*w**8 - 32*w**3 + 41/5*w**5 + 17/70*w**7 + 8*w**2 + 0. Determine x so that s(x) = 0.
-4, -2, 2/5
Let k be 3*(-4)/24*-16. Factor -g + 12*g**2 - 9*g - 4 + 17*g - 4*g - 3*g**3 - k.
-3*(g - 4)*(g - 1)*(g + 1)
Let b be 2/(-28)*2 - 90513/(-35595). Factor 6/5 - 21/5*r - b*r**2.
-3*(r + 2)*(4*r - 1)/5
Factor 24061*g**4 - 868*g + 237*g**2 - 9*g**3 + 24065*g**4 + 481 - 48125*g**4 + 499 - 17*g**3.
(g - 10)*(g - 7)**2*(g - 2)
Let t(v) be the second derivative of -v**9/7056 + v**8/980 - v**7/392 + v**6/420 + 97*v**3/6 - v + 24. Let i(y) be the second derivative of t(y). Factor i(o).
-3*o**2*(o - 2)*(o - 1)**2/7
Let f = -60 - -61. Suppose 2*x - 2*d = -4, d - 1 = -3*x + f. Let -2/3*h**3 + 0 + 0*h**2 - 2*h**5 + 8/3*h**4 + x*h = 0. What is h?
0, 1/3, 1
Suppose -2304*d = -2377*d + 292. Let s(x) be the second derivative of -2*x - 1/57*x**3 + 0 + 0*x**2 - 3/190*x**5 - 1/38*x**d - 1/285*x**6. Factor s(b).
-2*b*(b + 1)**3/19
Suppose -5*i - 2*s + 590 = -721, -s + 1313 = 5*i. Let v = i - 260. Let 16/11*x + 8/11 - 6/11*x**2 - 4/11*x**4 - 14/11*x**v = 0. Calculate x.
-2, -1/2, 1
Let n(c) be the second derivative of 5*c**7/63 + 68*c**6/15 - 41*c**5/30 - 42*c - 37. Factor n(i).
2*i**3*(i + 41)*(5*i - 1)/3
Let l(h) be the second derivative of -h**5/60 + 655*h**4/36 + 328*h**3/9 + 7568*h. Determine j, given that l(j) = 0.
-1, 0, 656
Let p(g) be the second derivative of g**6/10 - 3*g**5/2 - 637*g. Solve p(y) = 0 for y.
0, 10
Let h(x) = -11*x