 2/5*c**2 - 1/5*c - 1/5*c**4 + 70 - 2/5*c**3. Factor w(s).
-(s + 1)**4/5
Let z = 7089 + -7084. Suppose -4*f + 5*i + 1 + 20 = 0, 5*f - 4*i = 24. Find w, given that -17 + f*w + 24*w + z - 8*w**2 = 0.
1/2, 3
Suppose -58 = -3*t - g - 48, -2*g = -4*t + 20. Let r(v) be the second derivative of -1/78*v**t + 1/26*v**5 + 0*v**2 - 4*v + 0*v**3 + 0. Factor r(a).
2*a**2*(5*a - 1)/13
Let j = 199 + -196. Solve -29*s - 8*s**3 - 75*s**2 - 41*s + 3*s**j = 0.
-14, -1, 0
Let y(l) be the third derivative of -l**7/42 + 25*l**6/8 - 37*l**5/6 + 498*l**2. Find z, given that y(z) = 0.
0, 1, 74
Let w(x) be the second derivative of x**5/15 - 16*x**4/3 + 512*x**3/3 - 19*x**2 + 61*x. Let z(t) be the first derivative of w(t). Factor z(n).
4*(n - 16)**2
Suppose 5662*d**2 - 212*d - 2*d**3 - 5776*d**2 - 8*d = 0. Calculate d.
-55, -2, 0
Let y(u) = u**2 + 10009*u - 40049. Let w be y(4). Solve 3/8*r**2 - w*r + 45/8 = 0 for r.
3, 5
Let i(n) be the second derivative of -7/10*n**4 + 51/50*n**5 + 1/70*n**7 - 7/2*n**3 - 11/50*n**6 + 0 + 15/2*n**2 - 105*n. Solve i(y) = 0.
-1, 1, 5
Suppose 30 + 29/5*m**3 + 19/5*m - 1/5*m**4 - 101/5*m**2 = 0. What is m?
-1, 2, 3, 25
Let o(a) be the third derivative of -a**6/660 + a**5/10 - 484*a**3/3 + a**2 - 579. Factor o(m).
-2*(m - 22)**2*(m + 11)/11
Let z(c) = c**2 - 2*c. Let l(k) = -3*k**3 + 5691*k**2 - 3617574*k + 764520312. Let n(f) = l(f) + 15*z(f). Factor n(m).
-3*(m - 634)**3
Let w = 90 + -78. Let t be (10/(-20))/((-2)/w). Solve v + 4*v - 20 + 65*v**2 + 25*v**t + 15*v = 0.
-2, -1, 2/5
Let q(w) be the first derivative of w**6/480 + w**5/24 + 17*w**4/96 + w**3/3 + 8*w**2 - 5*w + 176. Let x(g) be the second derivative of q(g). Factor x(u).
(u + 1)**2*(u + 8)/4
Let c(i) = 8*i - 20. Let t be c(3). Factor 10 + 12*s**4 - 5*s + t*s - 5*s**3 + 6*s - 7*s**4 - 15*s**2.
5*(s - 2)*(s - 1)*(s + 1)**2
Solve 9646/5*q - 694083/10*q**4 + 3001921/10*q**3 + 233861*q**2 + 4 = 0.
-2/3, -2/481, 5
Let y be 0/2*(-317)/3170. Let z(a) be the first derivative of y*a - 1/10*a**5 + 1/4*a**2 - 35 - 1/8*a**4 + 1/6*a**3. Factor z(x).
-x*(x - 1)*(x + 1)**2/2
Solve 72 - 1/2*w**3 + 75/2*w**2 - 109*w = 0.
1, 2, 72
Let k(o) be the first derivative of -12*o**2 - 7/2*o**4 - 15 + 0*o + 32/3*o**3 + 2/5*o**5. Let k(f) = 0. What is f?
0, 2, 3
Let b = 37/60 - -1/20. Suppose -99*v + 104*v + 3 = 13. Find w such that w**4 - 1/3*w**3 - w**v - 1/3*w + 0 + b*w**5 = 0.
-1, -1/2, 0, 1
Let v = 243345 - 2190103/9. What is c in 4/3*c**2 - 28/9 + 2*c - v*c**3 = 0?
-2, 1, 7
Suppose 0 = -9*m + 13*m - 88. Suppose m = 5*v - 3*v. Solve -5*s**5 - 16*s**4 + 14*s**3 + 16*s**3 - 4*s + 20*s**2 - v*s**5 - 4 - 10*s**3 = 0 for s.
-1, -1/2, 1/2, 1
Let z = -57/2600 - -3/400. Let t = z - -3343/1040. Let 36/5*d**5 + 0 + 16/5*d - t*d**2 + 24/5*d**4 - 44/5*d**3 = 0. What is d?
-1, 0, 2/3
Determine d, given that 3*d**3 - 322*d**4 - 9*d**5 + 423*d**4 + 10*d - 84*d**4 - 21*d**2 = 0.
-10/9, 0, 1
Suppose -27 = z + 18. Let i = z - -49. Factor 26 - 36*c + 74 + i*c**2 - 12*c + 8*c.
4*(c - 5)**2
Let m = -491/462 - -13/11. Let p(i) be the second derivative of 0 + 1/4*i**5 - 19*i + 0*i**4 + 0*i**6 - m*i**7 + 0*i**3 + 0*i**2. Factor p(f).
-5*f**3*(f - 1)*(f + 1)
Suppose -122*w + 0 + 1/5*w**2 = 0. What is w?
0, 610
Let v(u) be the first derivative of -2*u**3/3 + 20*u**2 + 138*u - 227. Solve v(z) = 0 for z.
-3, 23
Let f be (1/(-7))/((-195)/910). Suppose 6*a + 1 = 4*a - 5*h, 5*a - 4*h - 14 = 0. Suppose -2/3*l + 0 + f*l**a = 0. What is l?
0, 1
Let b(f) be the first derivative of -f**5/60 - f**4/12 + 4*f**3/3 - 26*f**2 + 106. Let w(d) be the second derivative of b(d). Solve w(v) = 0 for v.
-4, 2
Let u(w) = -2*w**4 - 1767*w**3 - 385422*w**2 + 387182*w. Let i(k) = 2*k**4 + 1766*k**3 + 385424*k**2 - 387184*k. Let o(v) = -9*i(v) - 8*u(v). Factor o(p).
-2*p*(p - 1)*(p + 440)**2
Let m = 795 - 793. Let c(h) be the second derivative of 0 - 32*h**m + 16/3*h**3 - h - 1/3*h**4. Solve c(k) = 0 for k.
4
Let a(q) be the second derivative of -q**7/357 + 9*q**6/85 - 47*q**5/34 + 231*q**4/34 - 484*q**3/51 - 2159*q. Let a(z) = 0. Calculate z.
0, 1, 4, 11
Let a = 37240/3 + -12380. Let -a*q - 5/3*q**2 - 500/3 = 0. Calculate q.
-10
Let i(o) be the first derivative of o**5 + 3995*o**4 + 12752030*o**3/3 - 12776010*o**2 + 12784005*o - 7515. Suppose i(z) = 0. Calculate z.
-1599, 1
Solve -266/15*n**4 + 2/15*n**5 + 2048/15*n**3 + 8032/15*n - 6064/15*n**2 - 800/3 = 0 for n.
2, 125
Let n(d) be the third derivative of 4*d**5/15 + 443*d**4/12 - 280*d**3/3 - 6572*d**2. Determine l so that n(l) = 0.
-56, 5/8
Let d(s) be the third derivative of s**8/1848 + 2*s**7/1155 - 2*s**6/165 - 3*s**5/55 - 3*s**4/44 + 209*s**2 - 2*s + 3. Find a, given that d(a) = 0.
-3, -1, 0, 3
Let a = -432 - -435. Solve 34*r**2 - 30*r**2 - 5*r**4 - 49*r**2 + 50*r**a = 0.
0, 1, 9
Let l = 5235 - 36643/7. Let y(a) be the first derivative of -2/7*a**2 - 2/21*a**3 + 26 - l*a. Factor y(c).
-2*(c + 1)**2/7
Let i(y) be the first derivative of 2*y**5/65 - 12*y**3/13 + 32*y**2/13 - 30*y/13 + 1082. Suppose i(j) = 0. What is j?
-5, 1, 3
Let u = -15784 - -15784. Suppose 0 + 3/8*c**5 + u*c**4 + 0*c**2 - 3/8*c**3 + 0*c = 0. What is c?
-1, 0, 1
Suppose -60*a - 221 = -41. Let l be (-35)/(-325) - (-4)/(-60)*a. Let 2/13*x**5 + 0*x + l*x**2 + 0*x**4 + 0 - 6/13*x**3 = 0. Calculate x.
-2, 0, 1
Let c(x) = -16*x + 66. Suppose 2*t - 5*b = 13, 0 = -5*t - b - 27 + 46. Let a be c(t). Factor 6/5*f + 0 - 1/5*f**3 + 1/5*f**a.
-f*(f - 3)*(f + 2)/5
Suppose 10*j = -55*j + 195. Factor -39*z**2 - 3*z**j + z - 42*z + 142 - 7*z + 434.
-3*(z - 3)*(z + 8)**2
Let q = -23/371 - -1159/742. Factor -3/4*h**4 + 9/4*h**3 - q*h**2 + 0 + 0*h.
-3*h**2*(h - 2)*(h - 1)/4
Let y(f) = -f**3 - 27*f**2 + 27*f - 26. Let j be y(-28). Solve -17*a**j - 498*a**4 + 503*a**4 - 20*a**3 - 8*a**2 = 0 for a.
-1, 0, 5
Let r(k) be the second derivative of 3/20*k**5 + 0*k**2 + 25/2*k**4 + 2*k + 12 + 625/2*k**3. Factor r(l).
3*l*(l + 25)**2
Let s(j) be the third derivative of -1/108*j**4 + 0 + 14*j**2 + 1/135*j**5 - 1/27*j**3 + 0*j. Find g such that s(g) = 0.
-1/2, 1
Factor 0*p**4 - 2900*p**2 + 638*p - 5*p**4 + 4805 - 107*p - 310*p**3 - 1900*p**2 - 221*p.
-5*(p - 1)*(p + 1)*(p + 31)**2
Let b(c) be the third derivative of -c**5/60 - 11*c**4/24 + 13*c**3/3 + 46*c**2 - 9*c + 2. Suppose b(j) = 0. Calculate j.
-13, 2
Let i = 19 - 17. Find d, given that 880 + 0*d**3 + d - 877 - d**3 + 0*d**3 - 3*d**i = 0.
-3, -1, 1
Let y(f) be the third derivative of -f**6/160 + 3*f**5/20 - 17*f**4/32 - 15*f**3/4 - 15*f**2 - 4. Factor y(b).
-3*(b - 10)*(b - 3)*(b + 1)/4
Let n be (-228*(-104)/19019)/(9/336). Factor 64/11*d + n + 2/11*d**2.
2*(d + 16)**2/11
Let i(b) = -19837*b - 99182. Let v be i(-5). Determine s so that 128/3*s**5 + 266/3*s**2 + 4/3 + 160*s**4 + 568/3*s**v + 18*s = 0.
-2, -1, -1/4
Let f be 10/(-2)*(-1*9 - -2). Let c = -24 + f. Suppose -23*d + 67 + 3*d**2 + 10*d - c*d - 19 = 0. Calculate d.
4
Let w(b) be the third derivative of b**8/2016 + b**7/1260 - b**6/120 + b**5/180 + 5*b**4/144 - b**3/12 - 947*b**2. Let w(m) = 0. What is m?
-3, -1, 1
Let v be (0/30)/(3 + -2). Let y(t) be the third derivative of v + 0*t - 1/75*t**5 - 4/15*t**3 - 1/10*t**4 - 16*t**2. Suppose y(d) = 0. What is d?
-2, -1
Let y(i) be the third derivative of i**6/40 - 111*i**5/20 + 219*i**4/8 - 109*i**3/2 - 1005*i**2. What is g in y(g) = 0?
1, 109
Suppose -216055*t + 216054*t + 2 = 0. Let g(o) be the first derivative of 3/2*o**4 + 1/5*o**5 + 3*o**3 + 15 + 0*o + t*o**2. Suppose g(s) = 0. Calculate s.
-4, -1, 0
Let d be (2 - (-14)/(-10)) + 924/35. Let u be d/(-48)*(-19)/(228/8). Solve 3/4 - 3/8*x - u*x**2 = 0.
-2, 1
Let w(p) = -22*p**2 + 78*p - 55. Let i(u) = -u**3 + 3*u - 1. Let j(l) = -2*i(l) + 2*w(l). Factor j(x).
2*(x - 18)*(x - 3)*(x - 1)
Let u(f) = f**2. Let d(l) = -6*l + 20. Let k be 21/(-4) + 5 + (-18)/(-8). Let x(v) = k*d(v) - 4*u(v). What is w in x(w) = 0?
-5, 2
Let h be (19/(-855))/((-82)/(-2604)). Let w = -8/205 - h. Factor -w*f**2 + 4/3*f + 0.
-2*f*(f - 2)/3
Suppose 112 = 5*u + 3*f, 0 = 4*u - f + 4*f - 92. Let z be u/(-170)*102/(-24). Determine n so that z*n**2 - 1 - 1/2*n = 0.
-1, 2
Let t = -503 + 507. Factor -63*z**3 - 167*z**3 + 132 - 4*z**5 - 158*z**4 + 8*z**2 + 268*z + t*z**4 + 14*z**4 - 34*z**3.
-4*(z - 1)*(z + 1)**3*(z + 33)
Factor -3072 - 3/4*r**2 - 96*r.
-3*(r + 64)**2/4
Let a(l) b