*b**4/6 + 3*b**3 + 3785*b. Determine g, given that o(g) = 0.
0, 2, 6, 9
Let m(u) be the second derivative of 23/18*u**3 - 41*u - 529/12*u**2 - 1/72*u**4 + 0. Factor m(c).
-(c - 23)**2/6
Let y = -78839 + 394287/5. Factor 0 + 4/5*x**2 + y*x.
4*x*(x + 23)/5
Let v = -20/319 + 1675/1276. Let c(s) be the first derivative of v*s**3 + 0*s - 39 + 3/4*s**2. Factor c(h).
3*h*(5*h + 2)/4
Let c(j) be the second derivative of -j**4/78 + 38*j**3/39 + 123*j**2/13 + j - 57. Factor c(w).
-2*(w - 41)*(w + 3)/13
Let k(b) be the first derivative of b**7/70 - b**6/20 - b**5/5 + b**4 + 57*b**2/2 - 28. Let j(i) be the second derivative of k(i). Find m such that j(m) = 0.
-2, 0, 2
Determine m so that 135*m - 28*m**3 + 26*m**3 - 5*m**4 + 35*m**2 + 90 - 13*m**3 = 0.
-3, -2, -1, 3
Let n = 329/3 - 8557/78. Let w = n + 15/52. What is f in 15/4*f**3 + w*f - 7/4*f**2 + f**5 + 0 - 13/4*f**4 = 0?
0, 1/4, 1
Let w be 17 + -26 - (-8 - (4708/14 - 5 - 0)). Determine q so that -136/7*q + 2/7*q**2 + w = 0.
34
Let p(n) = -164*n**2 - 30236*n - 60376. Let s(o) = -76*o**2 - 13955*o - 27866. Let f(m) = -13*p(m) + 28*s(m). Factor f(z).
4*(z + 2)*(z + 580)
Let k(w) = 4*w**2 + 21534*w + 29095248. Let x(z) = -4*z**2 - 21541*z - 29095246. Let u(c) = -5*k(c) - 6*x(c). Let u(a) = 0. Calculate a.
-2697
Let z(b) = -32*b**3 + 7556*b**2 - 3682*b + 448. Let j(m) = m**2 - 8*m + 2. Let d(u) = 12*j(u) + z(u). Factor d(p).
-2*(p - 236)*(4*p - 1)**2
Suppose -14*r + 156 = -r. Suppose -r*t + 2*t + 90 = 0. Determine k, given that -6*k**4 - 5*k**4 + 6*k**3 - 2*k + 2*k**2 + t*k**2 - 4*k**3 = 0.
-1, 0, 2/11, 1
Let u(b) = b**2 - 16*b - 78. Let i be (221/(-34) + 8)*(-40)/(-3). Let t be u(i). Factor -2*x + 1/2*x**3 - 4 - 2*x**4 + 5*x**t + 1/2*x**5.
(x - 2)**3*(x + 1)**2/2
Let t = 56 - 62. Let j(w) = -2*w**3 - 12*w**2 + 2. Let z be j(t). Factor 7*s**3 + 5*s**5 + 20*s + 28*s**z - 32*s**3 - 15*s**4 - 13*s**2.
5*s*(s - 4)*(s - 1)*(s + 1)**2
Let c = -51 + 62. Factor -9*y**2 - 17 + 2*y**3 + c - y**2 + 14*y.
2*(y - 3)*(y - 1)**2
Factor 4*g**5 + 2932*g**4 - 2917*g**4 + g**5 + 8*g**3 + 2*g**3.
5*g**3*(g + 1)*(g + 2)
Let n(u) = 9*u + 801. Let x be n(29). Let r be 16*(x/(-135) + 8). Factor -r - 34/15*t - 2/15*t**2.
-2*(t + 1)*(t + 16)/15
Let l(f) be the second derivative of 3*f**5/20 - 297*f**4/2 - 595*f**3/2 - 709*f. Find o such that l(o) = 0.
-1, 0, 595
Let k = 349 + -339. Suppose 837*w - 1 + 2*w**3 - 849*w - k*w**2 + 1 = 0. Calculate w.
-1, 0, 6
Suppose -10*o - 4*o = 126. Let y be o/(-4) + 75/100. Factor -2/3*a**4 + 0 - 32/3*a - 6*a**y - 16*a**2.
-2*a*(a + 1)*(a + 4)**2/3
Let t(s) be the third derivative of 11/60*s**5 - 1/210*s**7 - 50/3*s**3 + 4*s**2 - 1/20*s**6 + 4*s + 5/2*s**4 + 0. Find d, given that t(d) = 0.
-5, 2
Let y = 63 - 21. Let v = y - 38. Determine j, given that -v*j**4 + 9*j**4 - 8*j**4 = 0.
0
Suppose -39*n + 44 = 2*u - 44*n, 4*u + 5*n + 32 = 0. Solve -1/6 - 4225/6*i**u + 65/3*i = 0 for i.
1/65
Let v be -1 - 5 - 19/((-133)/28). Let t be v/(-7) + (-209)/(-77). Solve 0 - 2/5*d**2 + 3/5*d - 1/5*d**t = 0.
-3, 0, 1
Let s(p) be the second derivative of 5*p**4/36 + 475*p**3/3 + 5*p + 53. Factor s(l).
5*l*(l + 570)/3
Let h(x) be the first derivative of -2*x**3/15 + 98*x**2/5 + 294*x + 490. Solve h(a) = 0 for a.
-7, 105
Suppose o = -596 + 948. Let f be -2 + -2 - o/(-80). Factor 1/5*a**2 - f*a + 1/5.
(a - 1)**2/5
Let w be ((-1 + -6)*(-4)/(-40 - 16))/(-1). Determine f, given that 0 + 1/2*f**4 - 3/2*f**3 + 3/2*f**2 - w*f = 0.
0, 1
Factor 182*p + 12 - 2*p**3 - 210*p + 5 + 14*p**2 - 1.
-2*(p - 4)*(p - 2)*(p - 1)
Factor 0 + 0*j - 2/3*j**5 + 112/3*j**4 - 640*j**3 + 3072*j**2.
-2*j**2*(j - 24)**2*(j - 8)/3
Factor -6960*w - 333849 - 6*w**2 - 3277178 + 3*w**2 - 425773.
-3*(w + 1160)**2
Let f(d) be the second derivative of 1/2*d**4 - 9*d + 1/2*d**3 + 3/16*d**5 + 0*d**2 + 1/40*d**6 - 4. Factor f(n).
3*n*(n + 1)*(n + 2)**2/4
Suppose 1/2*u**2 - 19 - 17/2*u = 0. What is u?
-2, 19
Let s = 2791/63 + -307/7. Let a = -221 + 1991/9. Let -2/9 - s*g - a*g**2 = 0. What is g?
-1
Let 204/7*p**3 - 16/7*p**4 + 876/7*p - 352/7 - 712/7*p**2 = 0. What is p?
1, 11/4, 8
Let c(r) = -3*r**2 - 25*r - 5. Let g be c(-8). Let v(h) = -2*h + 8. Let w be v(g). Find a such that -6/5 - 1/5*a**w - a = 0.
-3, -2
Let d = -366075 + 366075. Factor d - 8*c**2 - 2/9*c**3 - 72*c.
-2*c*(c + 18)**2/9
Let w = -29 - -28. Let d be w/(3/(-21)) - 4. Factor -3*m - 3*m + 0*m - 40*m**2 - 64*m**d.
-2*m*(4*m + 1)*(8*m + 3)
Let i(r) be the first derivative of 0*r**2 + 1/6*r**6 + 115 + r**5 + 0*r**3 + 0*r + r**4. What is n in i(n) = 0?
-4, -1, 0
Factor -1324/5*y - 1328/5 + 4/5*y**2.
4*(y - 332)*(y + 1)/5
Let u(x) = 129*x**5 + 5*x**4 + 42*x**3 + 6*x**2 + 6*x + 12. Let y(q) = -q**5 + 7*q**3 + q**2 + q + 2. Let a(h) = u(h) - 6*y(h). Let a(l) = 0. Calculate l.
-1/27, 0
Let l be ((-10424)/(-24))/(2/6). Suppose -61*t = -l + 327. Factor -4/3*p**2 - 28/3*p - t.
-4*(p + 3)*(p + 4)/3
Let h(v) be the second derivative of v**5/5 - 11*v**4 - 2*v**3/3 + 66*v**2 + 113*v - 2. Factor h(o).
4*(o - 33)*(o - 1)*(o + 1)
Let k(y) be the second derivative of 1/20*y**4 + 3*y**2 + 7/10*y**3 + 0 - 75*y. Suppose k(d) = 0. What is d?
-5, -2
Let f(m) be the first derivative of 1/27*m**3 + 1/18*m**4 + 1/30*m**5 + 1/135*m**6 + 0*m**2 + 2 + 7*m. Let i(t) be the first derivative of f(t). Factor i(l).
2*l*(l + 1)**3/9
Let j(l) = 3*l**5 - l**4 - 5*l**3 + 5*l**2 - 2*l. Let p(f) = -41*f - 8*f**5 + 9*f**5 - f**3 - f**4 + 42*f. Let k(z) = j(z) + 4*p(z). Solve k(b) = 0.
-1, -2/7, 0, 1
Let v(p) = -87*p**3 + 1062*p**2 - 4005*p + 4662. Let f(o) = -44*o**3 + 533*o**2 - 2002*o + 2333. Let l(j) = -9*f(j) + 4*v(j). Suppose l(h) = 0. What is h?
3, 87/16
Suppose -12564*n = -12599*n + 70. Suppose 8/11*g**n - 6/11*g**3 + 8/11*g - 2/11*g**5 - 8/11*g**4 + 0 = 0. What is g?
-2, -1, 0, 1
Let h(m) = -6*m + 221. Let f be h(34). Suppose v - 5*o = 7, 3*v - 3*o = f - 8. Factor 0*c**v - 4/9*c**5 + 4/9*c**4 + 8/9*c**3 + 0*c + 0.
-4*c**3*(c - 2)*(c + 1)/9
Let a(d) be the third derivative of d**7/1995 + 83*d**6/1140 + 64*d**5/95 - 39*d**4/19 + d**2 - 2464*d. Find r, given that a(r) = 0.
-78, -6, 0, 1
Let v(a) be the second derivative of 0*a**2 - 2/5*a**3 - 1/20*a**4 + 0 + 25*a. Find r such that v(r) = 0.
-4, 0
Let z(r) be the second derivative of -1/130*r**5 - 4*r - 4/13*r**3 - 5/39*r**4 + 72/13*r**2 - 3. Let z(m) = 0. Calculate m.
-6, 2
Let n(s) = s**2 + 368*s + 29887. Let w be n(-121). Factor w - 14/15*l**3 - 2/5*l + 4/3*l**2.
-2*l*(l - 1)*(7*l - 3)/15
Suppose 20 = 5*b - 2*q, -4*q - 23 + 27 = b. Let t(w) be the first derivative of 1/5*w**3 + 3/20*w**b + 0*w**2 - 6 + 0*w. Factor t(m).
3*m**2*(m + 1)/5
Let r(g) be the first derivative of -3*g**4/4 + 22*g**3 + 6*g**2 - 264*g - 296. Let r(t) = 0. What is t?
-2, 2, 22
Let 16*g**4 - 135/2*g - 2 - 113*g**2 - 63/2*g**3 = 0. What is g?
-1, -1/32, 4
Let l(w) = 55*w - 770. Let z be l(14). Let b(h) be the second derivative of 2/75*h**6 + 1/30*h**3 + 22*h + 9/100*h**5 + z + 0*h**2 + 1/10*h**4. Factor b(a).
a*(a + 1)**2*(4*a + 1)/5
Let r be (-16)/80*8/18*-12*27. Determine o so that -4/5*o**2 - r - 48/5*o = 0.
-6
Let h(f) = 2*f**3 + 216*f**2 + 1755*f - 2668. Let c be h(-99). Factor 2/9*o**3 + 0*o + 0 - 2/9*o**c + 0*o**4 + 0*o**2.
-2*o**3*(o - 1)*(o + 1)/9
Factor -1256/9 + 4/9*b**2 - 620/9*b.
4*(b - 157)*(b + 2)/9
Suppose 176*d - d**2 + 457 + 5*d**2 - 224 - 61 = 0. Calculate d.
-43, -1
Let o(c) be the second derivative of -49*c**6/120 + 567*c**5/80 - 13*c**4/2 + 11*c**3/6 - 3904*c. Solve o(a) = 0.
0, 2/7, 11
Determine l, given that 0*l + 4*l**2 + 1/5*l**3 + 0 = 0.
-20, 0
Let d(a) be the second derivative of -a**5/5 - 3*a**4/2 + 200*a**3/3 - 273*a**2 - 5361*a. Factor d(m).
-2*(m - 7)*(m + 13)*(2*m - 3)
Suppose 0 = -10*k + 183 - 1083. Let w be (-68)/(-18) - 1 - 20/k. Factor 54 - 70*p - 2*p**w + 18*p**2 + 16*p + 0*p**3.
-2*(p - 3)**3
Let l = -66 - -67. Let b be l/(-1*2/(-4)). Determine m so that -4*m**b + 32*m**2 - 5*m**2 - 8*m**2 + 3*m**3 + 12 + 24*m = 0.
-2, -1
Let s(w) = w**3 + 12*w**2 + 17*w + 50. Let l be s(-11). Let k be 0 - (0 - 1) - (-8)/l. What is i in -1/2*i**2 + i - k = 0?
1
Let m be (-1 - 1)/2 - -5. Suppose 0 = -m*f - 75 + 111. Factor 26*x**2 + 104*x**3 + 78*x + 16*x**4 + 126*x**2 + 41*x**2 + f.
(x + 3)**2*(4*x + 1)**2
Suppose 0 = -61*x + 39*x - 54*x + 304. Let t be 0*(0 + 1)/(-1)*1. Determine