 the second derivative of -1/4*z**5 - 5/3*z**4 + 19*z + i + 0*z**2 - 10/3*z**3. Factor k(t).
-5*t*(t + 2)**2
Let f(c) be the third derivative of -c**5/100 + 207*c**4/40 + 104*c**3/5 + c**2 + 994. Factor f(k).
-3*(k - 208)*(k + 1)/5
Suppose -26*j + 4 = -13 - 35. Let f = -161/2 + 83. Factor -11/2*m - f - 1/2*m**3 - 7/2*m**j.
-(m + 1)**2*(m + 5)/2
Let c be -3 + 0 + 4 - -3. Suppose 5*t - c*t = 4*t. Factor t*l + 14*l - 12*l**3 + 14*l**4 + 10*l**4 + l - 3 - 18*l**2.
3*(l + 1)*(2*l - 1)**3
Let q = 187609/5 + -37521. Let r(o) be the first derivative of 13/10*o**2 - q*o + 13/15*o**3 - 1/5*o**4 - 11. Suppose r(u) = 0. Calculate u.
-1, 1/4, 4
Let k(x) be the third derivative of x**7/2310 + x**6/132 + x**5/44 - 5*x**4/132 - 8*x**3/33 - 2108*x**2. Determine r, given that k(r) = 0.
-8, -2, -1, 1
Let q(p) be the first derivative of p**5/20 - 11*p**4/8 + 5*p**3 + 3*p**2/2 + 8*p - 36. Let s(h) be the second derivative of q(h). Factor s(z).
3*(z - 10)*(z - 1)
Let n(u) = -6*u**2 + 228*u - 230. Let g(z) = -z**2 + 2*z - 5. Let y(o) = 2*g(o) - n(o). Factor y(m).
4*(m - 55)*(m - 1)
Let j be 602*16/6720 + (-6)/(-36). Solve -j - 1/5*v**3 + 2*v - 1/5*v**2 = 0.
-4, 1, 2
Let a(i) be the third derivative of -i**5/240 + 55*i**4/24 + 1012*i**2. Determine h so that a(h) = 0.
0, 220
Let y(g) = g**3 - 9*g**2 - 9*g - 12. Let m be y(10). Let v be 1/(-4)*10 - (m - 1). Factor -1/4*k**4 + 0*k + 0 - v*k**2 + 3/4*k**3.
-k**2*(k - 2)*(k - 1)/4
Let v(b) be the first derivative of 4*b**5/5 + 15*b**4 + 248*b**3/3 + 96*b**2 - 1088. Let v(j) = 0. What is j?
-8, -6, -1, 0
Let 2045/2 + 2055/4*j + 5/4*j**2 = 0. Calculate j.
-409, -2
Let h be (5600/(-3780))/(75/(-540)). Factor 1/3*f**4 - 28/3*f**2 - h*f + 0 - 4/3*f**3.
f*(f - 8)*(f + 2)**2/3
Let l(a) be the first derivative of 1/12*a**3 + 13/2*a**2 + 1/80*a**5 + 5/96*a**4 - 21 + 0*a. Let q(j) be the second derivative of l(j). Solve q(g) = 0 for g.
-1, -2/3
Suppose -363*i + 18083 = 17357. Factor 3 + 1/3*w**3 - 17/3*w + 7/3*w**i.
(w - 1)**2*(w + 9)/3
Let u(x) be the second derivative of x**8/14280 + x**7/2380 - x**5/255 + x**3/6 - 33*x**2/2 - x - 6. Let m(c) be the second derivative of u(c). Factor m(b).
2*b*(b - 1)*(b + 2)**2/17
Let c(j) be the second derivative of -j**6/480 + 17*j**5/240 + j**4/96 - 17*j**3/24 + 21*j**2/2 - 36*j. Let h(i) be the first derivative of c(i). Factor h(m).
-(m - 17)*(m - 1)*(m + 1)/4
Let n(k) be the second derivative of -1/6*k**3 + 0*k**2 - 7/10*k**5 - 7/12*k**4 + 225*k - 4/15*k**6 + 0. What is v in n(v) = 0?
-1, -1/2, -1/4, 0
Let m(v) be the first derivative of 69/7*v**2 - 8/21*v**3 - 34/7*v - 24. Solve m(d) = 0.
1/4, 17
Let h(s) = -s**3 - 8*s**2 + 16*s + 30. Let d be h(-9). Let p be -7 + d/(-3) - -1. Find r, given that -2/5*r**2 + 0 + 0*r**4 + 1/5*r**p + 0*r - 3/5*r**3 = 0.
-1, 0, 2
Let f = -38277 + 306219/8. Let k(y) be the first derivative of 1/8*y**5 - 7/16*y**2 - 17 - 1/12*y**3 + 3/16*y**4 - f*y + 1/48*y**6. Factor k(w).
(w - 1)*(w + 1)**3*(w + 3)/8
Suppose -r = -4*l - 2, -115*r + 112*r + 6 = -6*l. What is f in 1/5*f**2 - 1/5 + l*f = 0?
-1, 1
Let k(b) be the third derivative of -3*b**7/70 - 29*b**6/30 - 19*b**5/4 - 43*b**4/4 - 40*b**3/3 - 712*b**2. Let k(g) = 0. What is g?
-10, -1, -8/9
Let l = 224195 + -2464444/11. Let t = 155 - l. Factor 0 + t*o**3 - 2/11*o**4 + 8/11*o + 14/11*o**2.
-2*o*(o - 4)*(o + 1)**2/11
Let d(c) be the third derivative of c**8/40320 - c**7/945 + c**6/288 + c**4/12 - 67*c**3/3 - 166*c**2. Let g(j) be the second derivative of d(j). Factor g(p).
p*(p - 15)*(p - 1)/6
Let j = -1680927 + 1680927. Find o such that 2*o + 1/4*o**3 + j + 3/2*o**2 = 0.
-4, -2, 0
Let d(g) be the third derivative of g**8/112 - 4*g**7/5 - 57*g**6/40 + 4*g**2 + 2*g - 23. Suppose d(m) = 0. What is m?
-1, 0, 57
Let g be (-243)/(-1134)*200/(-6) + 0 + 32/4. Determine f so that -g*f - f**4 - 5/7*f**2 + 18/7*f**3 + 0 = 0.
-3/7, 0, 1, 2
Let w(d) = 47*d**2 + d - 1. Let c(s) = 420*s**2 + 5487*s - 2500716. Let l(o) = -c(o) + 9*w(o). Determine f so that l(f) = 0.
913
Let z = -6495061/1058 + 6139. Let h = 50797/13754 - z. Solve h*q**2 - 6/13 + 2/13*q = 0.
-3/8, 1/3
Suppose -13*s - 2040 = 55*s. Let v be (-728)/(-2310) + 4/s. Factor 12/11 + v*m - 2/11*m**2.
-2*(m - 3)*(m + 2)/11
Let t(s) be the second derivative of 5/6*s**3 - 1/4*s**5 + 56*s - 5/12*s**4 + 0 + 0*s**2 + 1/6*s**6. Factor t(w).
5*w*(w - 1)**2*(w + 1)
Let r(x) be the second derivative of x**4/42 + 5*x**3/7 - 58*x**2 + 884*x. Factor r(g).
2*(g - 14)*(g + 29)/7
Let p(x) = -x + 16. Let f be p(14). Suppose -13 = -u - 0*u + 2*b, -f*u - b + 6 = 0. Factor u*i - 4*i**3 + 4 - 15*i + 4 + 22*i.
-4*(i - 2)*(i + 1)**2
Let g(d) be the third derivative of -d**8/1176 + 2*d**7/105 - 23*d**6/140 + 2*d**5/3 - 25*d**4/21 - 31*d**2 + 76. Factor g(p).
-2*p*(p - 5)**2*(p - 2)**2/7
Let b(s) = -24*s**2 + 77*s + 87. Let t(p) = -13*p**2 - 7*p - 27 - 32 + 97 + 46*p + 6. Let z(y) = -4*b(y) + 7*t(y). Let z(m) = 0. Calculate m.
-1, 8
Factor 8*o - 40*o - 4*o**3 + 13*o + 548*o**2 + 10*o - 548 + 13*o.
-4*(o - 137)*(o - 1)*(o + 1)
Factor -1/3*z**2 - 113/3*z - 112/3.
-(z + 1)*(z + 112)/3
Let o(l) be the first derivative of 9*l**4/20 - 161*l**3/5 + 6399*l**2/10 + 2187*l/5 + 385. Find r such that o(r) = 0.
-1/3, 27
Suppose -313 = -24*x + 263. Let n be (-76)/(-32) + x/(-64). Find l such that -2/5*l + 1/5*l**3 + 0 - 1/5*l**n = 0.
-1, 0, 2
Let f(x) be the first derivative of x**3/24 + 15*x**2/16 - 62*x + 2187. Factor f(k).
(k - 16)*(k + 31)/8
Let j(z) = 5*z**3 + 115*z**2 - 913*z - 1175. Let i(v) = v + 20. Let t(g) = -8*i(g) - j(g). Factor t(d).
-5*(d - 7)*(d + 1)*(d + 29)
Solve -27 + 8*u**2 - 51/2*u - u**4 + 17/3*u**3 - 1/6*u**5 = 0.
-9, -2, -1, 3
Factor 0 + 0*j + 15/4*j**2 + 2*j**3 + 1/4*j**4.
j**2*(j + 3)*(j + 5)/4
Let o(b) = -200*b**3 + 763*b**2 + 890*b - 25. Let p(c) = 12*c**3 + c**2 + 3. Let f(d) = o(d) + 6*p(d). Solve f(k) = 0.
-1, 1/128, 7
Let j be ((-242)/(-5445))/(5 + 745/(-150)). Solve -j*l - 2/3*l**4 + 8/3*l**2 - 2 + 4/3*l**3 = 0 for l.
-1, 1, 3
Factor -675*n + 33 + 5*n**2 + 1185*n - 665*n + 387.
5*(n - 28)*(n - 3)
Let x = 71 + -65. Suppose -2*r = -5*r + x. Let 17*j - 13*j + 12*j**4 - 24*j**r + 4*j**5 + 0*j**5 + 12 - 8*j**3 = 0. Calculate j.
-3, -1, 1
Let h(t) be the third derivative of 41/12*t**4 + 14/3*t**3 - 1/10*t**5 - 54*t**2 + 0*t + 0. What is d in h(d) = 0?
-1/3, 14
Let g(w) = -w**2 + 244*w - 12673. Let l be g(75). Solve 1/3*r**3 + 4 - 1/3*r**l - 8/3*r = 0 for r.
-3, 2
Factor 4/5*l**4 + 0*l + 12*l**3 + 0 - 64/5*l**2.
4*l**2*(l - 1)*(l + 16)/5
Let n(m) be the first derivative of 1/6*m**4 - 2/45*m**5 - 4/3*m**2 + 0*m + 8/27*m**3 + 16. Factor n(b).
-2*b*(b - 3)*(b - 2)*(b + 2)/9
Let t(r) be the first derivative of r**5/80 - r**4/48 - r**3/4 + 42*r - 38. Let p(j) be the first derivative of t(j). What is q in p(q) = 0?
-2, 0, 3
Let w = 2507/197360 - 1/4934. Let z(r) be the second derivative of -13*r + 0*r**2 + w*r**5 + 0*r**3 + 1/24*r**4 + 0. Find i, given that z(i) = 0.
-2, 0
Let x(m) be the second derivative of 0 - 1/32*m**4 - 55*m + 5/2*m**3 - 75*m**2. Factor x(r).
-3*(r - 20)**2/8
Let h be (9/(-12))/(18/24 + -1). Factor 9634*k + 31 - 9636*k + 2*k**h - 7 - 24*k**2.
2*(k - 12)*(k - 1)*(k + 1)
Let k = -1964 + 1967. Let i(n) = -n**3 - n**2 + n + 3. Let b be i(0). Factor 3*w**2 + 3*w + k - b.
3*w*(w + 1)
Let b be 78/(-4)*((-4761)/1495 - -3). Suppose 16/5 + b*k**4 + 94/5*k**3 + 104/5*k + 164/5*k**2 = 0. Calculate k.
-2, -1, -2/9
Let w(n) be the first derivative of n**6/45 - 7*n**5/30 + 11*n**4/18 - 5*n**3/9 + 6*n - 42. Let f(m) be the first derivative of w(m). What is t in f(t) = 0?
0, 1, 5
Let f = -901 - -905. Let q be f - (-18)/18*(-3 + -1). What is g in 2/5*g**3 + q + 4/5*g**2 - 6/5*g = 0?
-3, 0, 1
Suppose -530*s + 307 + 52 + 701 = 0. Factor -2/7*f**s + 24/7*f - 22/7.
-2*(f - 11)*(f - 1)/7
Let j(x) be the third derivative of -x**7/3360 - x**6/120 - 7*x**5/96 - x**4/4 + 83*x**3/6 + 122*x**2. Let t(a) be the first derivative of j(a). Solve t(z) = 0.
-8, -3, -1
Let h be (44/16)/(4/(-24))*-40. Let g = h + -1948/3. Factor -24*q**3 + 0 - 4/3*q**5 + 80/3*q**2 + 28/3*q**4 - g*q.
-4*q*(q - 2)**3*(q - 1)/3
Let d be ((-13)/39)/((-3)/(-45)). Let a be (d*(-27)/(-360))/(9/(-6)). Find s, given that -a*s**2 + 1/2 + 1/4*s = 0.
-1, 2
Let l be (-290)/36*(-3456)/768. Factor -25/2*t - 5/4*t**4 - 13*t**3 - l*t**