674. Factor s(z).
-5*(z - 515)**3
Let x = 63/356239 + 111324686429/6056063. Let 250/17*f**4 + 19531250/17 + 2/17*f**5 + 3906250/17*f + x*f**2 + 12500/17*f**3 = 0. What is f?
-25
Suppose -166*a - 2*m - 26 = -165*a, 126 = -9*m. Suppose -4/7*j**5 + 0*j + 64/7*j**a + 16/7*j**3 + 0 - 16/7*j**4 = 0. What is j?
-4, -2, 0, 2
Let d be (14/20)/(3542/18216). Factor -d + 2/5*h**2 - 16/5*h.
2*(h - 9)*(h + 1)/5
Let f(p) = p**3 - 7*p**2. Let l be f(7). Suppose 193*k - 128 - 400 = -66*k + 508. Suppose 0 + 4/13*n**3 + l*n + 0*n**2 - 2/13*n**k = 0. Calculate n.
0, 2
Let v(u) be the second derivative of -5*u**4/12 - 295*u**3/6 - 1650*u**2 - 4*u + 323. Factor v(j).
-5*(j + 15)*(j + 44)
Let k be (-13 + 1 - -6) + 7 - (-82 + 81). Solve 3/2*x**k - x + 0 - 1/2*x**3 = 0 for x.
0, 1, 2
Let g(q) be the third derivative of -q**7/5040 + q**6/30 - 47*q**5/240 - q**4/24 - 22*q**3/3 - 87*q**2. Let y(i) be the second derivative of g(i). Factor y(r).
-(r - 47)*(r - 1)/2
Let i(c) be the first derivative of 19*c**3/3 - 8*c**2 + 11*c + 46. Let j(y) = 10*y**2 - 9*y + 5. Let v(l) = 3*i(l) - 7*j(l). Solve v(a) = 0.
2/13, 1
Let m(f) be the first derivative of -350*f**2 - 500*f - 115*f**3 - 35/2*f**4 + 192 - f**5. Suppose m(p) = 0. Calculate p.
-5, -2
Suppose 64*q - 40 - 152 = 0. Find j such that 30*j**4 + 72*j**q + 6*j**2 - 69*j - 36 + 24*j**5 - 31*j**5 + 4*j**5 = 0.
-1, 1, 12
Suppose 57973 = -104*s + 58181. Let 3/2*a**3 + 27/4 + 51/8*a**s - 117/8*a = 0. Calculate a.
-6, 3/4, 1
Let j be ((-4)/(-4) - 2) + (-3)/(-1). Determine k so that 9*k**2 + 5*k**4 + 14*k**2 - 25*k**3 - 20*k - 10*k**2 + 27*k**j = 0.
0, 1, 2
Let x(w) be the second derivative of -w**7/294 + w**6/42 + 5*w**5/28 - 125*w**4/84 - 2*w - 18. Factor x(y).
-y**2*(y - 5)**2*(y + 5)/7
Let p(r) be the third derivative of r**7/945 + 11*r**6/540 + r**5/18 - r**4/4 - 11*r**2 - 10*r + 17. Let p(q) = 0. Calculate q.
-9, -3, 0, 1
Let a(g) = -g**2 + 4*g + 18. Let p be a(-3). Let i be 1/3 + -1 + (-11)/p. Let -20*f**i + 21*f**3 + 8*f**5 - 12*f**4 - 13*f**3 + 8*f**2 = 0. What is f?
-1, 0, 1/2, 2
Let o(c) = -7*c + 20. Let l be o(-3). Let u = -36 + l. Factor 42 - 4*a**4 + 4*a**2 - 42 + 2*a**u - 2*a.
2*a*(a - 1)**3*(a + 1)
Let b(o) be the third derivative of o**6/1080 - 11*o**5/270 + 161*o**4/216 - 196*o**3/27 + 81*o**2 - 8. Let b(h) = 0. Calculate h.
7, 8
Let t(h) be the first derivative of h**6/15 + 484*h**5/25 + 13897*h**4/10 - 60016*h**3/5 + 138384*h**2/5 + 6192. Find q, given that t(q) = 0.
-124, 0, 3
Let x(s) = 20*s**2 - 88*s + 28. Let v(r) = -17*r**2 - 3*r**2 + 8*r + 80*r - 29. Suppose 21*i + 102 = 55*i. Let j(z) = i*x(z) + 4*v(z). Factor j(k).
-4*(k - 4)*(5*k - 2)
Let j(w) be the second derivative of w**4/36 - 2*w**3/3 + 11*w**2/6 - 17*w - 12. Factor j(h).
(h - 11)*(h - 1)/3
Let x(c) = c**3 + 18*c**2 - 21*c + 23. Let n be x(-19). Let b = n + -51. Factor -10*u - b + 3*u**2 + 2*u**3 - 15*u - 8*u**2 + 23*u**3 + 15*u**4.
5*(u - 1)*(u + 1)**2*(3*u + 2)
Let q(t) be the third derivative of t**5/45 + 301*t**4/24 - 113*t**3/9 - 4220*t**2. Factor q(j).
(j + 226)*(4*j - 1)/3
Let z(b) be the third derivative of b**5/140 - 3*b**4/14 - 32*b**3/7 + 1161*b**2. Suppose z(d) = 0. What is d?
-4, 16
Let p(j) = 5*j**4 + 18*j**3 + 13*j**2 + 4*j + 2. Let k(i) = 21*i**4 + 75*i**3 + 51*i**2 + 15*i + 9. Let f(q) = 2*k(q) - 9*p(q). Find y such that f(y) = 0.
-2, -1, 0
Let a be (-29260)/(-990) + -25 - (-2)/((-2)/3). Factor -a*i**3 + 0 - 8/3*i - 2/9*i**4 - 32/9*i**2.
-2*i*(i + 2)**2*(i + 3)/9
Let v(g) be the second derivative of -2*g - 1/84*g**4 - 8 - g**2 + 3/14*g**3. Factor v(b).
-(b - 7)*(b - 2)/7
Solve 485/3*b + 115/3*b**3 - 110/3 + 5*b**4 - 505/3*b**2 = 0 for b.
-11, 1/3, 1, 2
Let m = -379 + 419. Let r(k) = -7*k**2 + 22*k + 13. Let w(a) = -a**2 + a. Let b(y) = m*w(y) - 5*r(y). Determine h, given that b(h) = 0.
-13, -1
Let m(n) be the third derivative of -2*n**7/105 + 46*n**6/15 - 146*n**5 + 450*n**4 + 20250*n**3 + 12*n**2 + 9*n + 1. Let m(h) = 0. Calculate h.
-3, 5, 45
Suppose 155 - 625 - 202 = -84*s. Let h(i) be the second derivative of 26*i + 0 - s*i**2 + 1/6*i**4 - 2/3*i**3. Factor h(p).
2*(p - 4)*(p + 2)
Factor 447/5 - 3/5*z**2 + 444/5*z.
-3*(z - 149)*(z + 1)/5
Let c = 4552 - 4548. Let g(p) be the first derivative of -3 + 0*p + 1/4*p**2 + 1/20*p**5 - 1/8*p**c - 1/12*p**3. Determine q so that g(q) = 0.
-1, 0, 1, 2
Let c(o) be the first derivative of -3*o**5 + 99*o**4/4 - 36*o**3 - 30*o**2 - 332. Factor c(i).
-3*i*(i - 5)*(i - 2)*(5*i + 2)
Let i(h) be the second derivative of -h**5/5 - 7*h**4 - 48*h**3 + 864*h**2 - 7*h + 26. Factor i(n).
-4*(n - 3)*(n + 12)**2
Let a(m) be the first derivative of m**7/420 + m**6/30 - 11*m**5/30 + m**4 - 105*m**2/2 + 55. Let i(q) be the second derivative of a(q). Factor i(o).
o*(o - 2)**2*(o + 12)/2
Let t(l) be the second derivative of -392*l**4/27 + 56*l**3/27 - l**2/9 - 169*l - 2. Factor t(y).
-2*(28*y - 1)**2/9
Let p be 15484/91 + (-6)/39. Let -25*f + p*f - 70*f + 10*f**2 = 0. Calculate f.
-15/2, 0
Let m(u) be the first derivative of 1/2*u**4 + 54000*u + 60*u**3 - 70 + 2700*u**2. Let m(v) = 0. Calculate v.
-30
Let y(m) be the second derivative of -m + 2*m**3 + 0*m**2 + 3/20*m**5 - 38 + m**4. Find a such that y(a) = 0.
-2, 0
Let s = -163 + 283. Let 2*t**5 + 116*t**2 + 4*t**4 + 0*t**3 - s*t**2 - 2*t + 0*t**3 = 0. Calculate t.
-1, 0, 1
Let l = -92 - -106. Determine k so that 0*k**3 + 31*k + l*k + 3*k**3 + 6 + 21 + 21*k**2 = 0.
-3, -1
Let o(b) be the second derivative of b**6/180 - 37*b**5/120 + 5*b**4 - 9*b**3 - 4*b + 11. Find v, given that o(v) = 0.
0, 1, 18
Let i(q) = 3*q**3 - 201*q**2 - 276*q - 18. Let c(y) = 19*y**2 - y + 1. Let g(w) = 18*c(w) + i(w). Let g(f) = 0. What is f?
-49, 0, 2
Let g(c) be the third derivative of c**6/300 + 299*c**5/50 + 89401*c**4/20 + 26730899*c**3/15 - 1211*c**2. Factor g(l).
2*(l + 299)**3/5
Let c be 12/(-8)*(-73)/876*(-6488)/(-3) - 5. Suppose -40000/3 - 39200/3*f + c*f**2 - 4/3*f**3 = 0. What is f?
-1, 100
Factor -37543*c**3 + 75089*c**3 - 37549*c**3 + 38*c**2 - 14*c - 7*c - 14*c**2.
-3*c*(c - 7)*(c - 1)
Let s(y) be the first derivative of 5*y**4/2 + 65*y**3 + 45*y**2 - 95*y - 223. Factor s(j).
5*(j + 1)*(j + 19)*(2*j - 1)
Suppose 4*h + 3 = -q, -2*h = 3*q - 7*q + 6. Let n(d) = d**2 + d. Let t(w) = -23*w - 144. Let u(c) = q*n(c) - t(c). Factor u(i).
(i + 12)**2
Let u = -2844 + 2844. Let s(h) be the second derivative of u*h**4 + 2/17*h**2 - 14*h + 0 + 1/17*h**3 - 1/170*h**5. Determine m so that s(m) = 0.
-1, 2
Let g be (978/264 - 2 - 1) + (-341)/(-124). Determine y, given that -2/11*y**2 + 0 + g*y = 0.
0, 19
Let x(r) be the first derivative of 0*r + 33/14*r**2 - 24/35*r**5 - 1/14*r**6 + 45/14*r**4 + 194 - 32/7*r**3. Suppose x(c) = 0. Calculate c.
-11, 0, 1
Let s(y) = -10*y - 118. Let q be s(-12). Let f(l) be the third derivative of -26*l**q + 1/480*l**6 + 0*l + 0 + 1/120*l**5 + 0*l**3 - 1/32*l**4. Factor f(p).
p*(p - 1)*(p + 3)/4
Let p(n) = -n**2 - n + 1. Let a(m) = -82*m**2 - 81*m + 21. Let b(v) = -41*v**2 - 40*v + 10. Let q(w) = -2*a(w) + 5*b(w). Let o(l) = -5*p(l) + q(l). Factor o(x).
-3*(x + 1)*(12*x - 1)
Let d = -6/1585 + 1603/4755. Let x(k) be the first derivative of -d*k**3 - k**2 - 10 - k. Factor x(o).
-(o + 1)**2
Let q be 1 + -1 + 12*(-3)/(-9). Solve 3*k - 2*k**3 + q - 3*k - 5*k**2 + k**2 + 2*k = 0 for k.
-2, -1, 1
Let x(w) be the third derivative of -w**5/390 + 85*w**4/156 + 58*w**3/13 - 7*w**2 + 2*w + 25. Factor x(z).
-2*(z - 87)*(z + 2)/13
Let b be (-7 - -2) + (-7 - -3)*7/(-4). Find p such that -35/4*p - p**b + 9/4 = 0.
-9, 1/4
Factor -79*f**2 + 82*f**3 - 66*f**2 - 30*f**3 - 3*f**2 - 24*f.
4*f*(f - 3)*(13*f + 2)
Let q(j) be the third derivative of j**6/90 + 7*j**5/45 + j**4/3 - 832*j**2. Factor q(n).
4*n*(n + 1)*(n + 6)/3
Let j(l) be the first derivative of 0*l - 3/2*l**2 + 3*l**4 - 30 + 3*l**3. Factor j(o).
3*o*(o + 1)*(4*o - 1)
Determine k, given that 36*k**2 + 37*k**2 + 46*k**2 + 37*k**2 + 362 - 154*k**2 + 364*k = 0.
-181, -1
Let f(n) be the first derivative of 0*n - 1/5*n**4 - 4/15*n**3 - 216 + 0*n**2 - 1/6*n**6 + 13/25*n**5. Find c such that f(c) = 0.
-2/5, 0, 1, 2
What is f in 257/5*f**2 + 1/5*f**3 + 16383/5*f - 16641/5 = 0?
-129, 1
Let q(w) = 4*w**2 - 4*w - 282. Let r(i) = 3*i**2 - 5*i - 264. Let v(a) = -6*q(a) + 9*r(a). Determine t, given that v(t) = 0.
-12, 19
Suppos