e of 5*r**3/3 + 8115*r**2 + 13170645*r - 879. Factor d(m).
5*(m + 1623)**2
Let n(y) be the first derivative of 0*y + 5/2*y**2 - 1/72*y**4 + 1/45*y**5 + 0*y**3 - 1/120*y**6 + 2. Let v(c) be the second derivative of n(c). Factor v(j).
-j*(j - 1)*(3*j - 1)/3
Let n be (-3*(-2)/(-2))/((-14196)/260 - (-648)/12). What is u in -155/3*u**2 + 100/3*u + 35/3*u**4 + 65/3*u**3 - 20/3 - 25/3*u**n = 0?
-2, 2/5, 1
Let h = 22307 + -356911/16. Let r(f) be the first derivative of 0*f + 1/4*f**2 + h*f**4 + 20 + 1/4*f**3. Solve r(i) = 0 for i.
-2, -1, 0
Let m(j) be the first derivative of 3*j**4/14 - 2570*j**3/21 - 858*j**2/7 - 4093. Factor m(h).
2*h*(h - 429)*(3*h + 2)/7
Let w(d) be the second derivative of 1 + 3/2*d**2 + 1/2*d**3 - 1/4*d**4 - 3/20*d**5 + 80*d. Let w(h) = 0. Calculate h.
-1, 1
Let l(x) = 3*x + 25. Let f be l(-6). Factor 9 - 22 + 40*k**2 - 26*k + f + 10 - 18*k**3.
-2*(k - 1)**2*(9*k - 2)
Suppose 0*d + 5*r + 9584 = -4*d, -5*r - 2381 = d. Let q be (-2)/28*d/98. Factor 1/4 + 25/4*s**5 - 1/2*s**2 - q*s + 65/4*s**4 + 23/2*s**3.
(s + 1)**3*(5*s - 1)**2/4
Let b(c) = 10*c + 9*c**2 + 140 + c**3 - 2*c**3 - 144. Let w(j) = 2*j**3 - 8*j**2 - 10*j + 3. Let i(r) = 3*b(r) + 4*w(r). Find d, given that i(d) = 0.
-1, 0, 2
Let j be -1 + (7 - 5)*1. Let v(a) = a**3. Let s(x) = 27*x**3 + 15*x**2 - 60*x + 20. Let u(m) = j*s(m) - 2*v(m). Factor u(b).
5*(b - 1)*(b + 2)*(5*b - 2)
Let d be 20/(-90) + (1022/(-180) - -2). Let o = d + 63/10. Suppose 22/5*k - o - 6/5*k**2 = 0. Calculate k.
2/3, 3
Let k(u) be the third derivative of u**6/720 - u**5/45 - 163*u**4/144 + 85*u**3/18 - u**2 + 20*u - 20. Suppose k(h) = 0. What is h?
-10, 1, 17
Suppose 3522 = -167*h + 2035*h + 1410*h - 6312. Find s, given that 2/7*s**h + 0 + 0*s - 18/7*s**2 = 0.
0, 9
Factor 200/3*h + 5/3*h**2 - 140.
5*(h - 2)*(h + 42)/3
Let d(n) = -6*n**2 - 2*n. Let v(b) = b**2 - b + 1. Let r(q) = 2*d(q) + 4*v(q). Let c(g) = 95*g**2 + 95*g - 50. Let m(s) = -3*c(s) - 35*r(s). Factor m(u).
-5*(u - 1)*(u + 2)
Find p, given that 1476 - 210*p - 104*p - 200*p + 157*p - 3*p**2 = 0.
-123, 4
Factor 371*z - 878*z + 219*z + 19*z**3 - 96*z**2 + 3*z**3 - z**4.
-z*(z - 12)**2*(z + 2)
Let q(n) = 2*n**4 - 31*n**3 - 232*n**2 + 276*n + 15. Let s(a) = 4*a**4 - 61*a**3 - 464*a**2 + 556*a + 35. Let x(p) = -14*q(p) + 6*s(p). Factor x(l).
-4*l*(l - 22)*(l - 1)*(l + 6)
Let s(t) be the first derivative of -2*t**5/65 - 240*t**4/13 - 50876*t**3/13 - 3939992*t**2/13 + 25039686*t/13 + 344. What is v in s(v) = 0?
-161, 3
Let i(y) be the first derivative of -y**6/90 + 6*y**5/5 - 54*y**4 - 2*y**3/3 - y**2/2 - 23. Let m(z) be the third derivative of i(z). Factor m(c).
-4*(c - 18)**2
Factor -995*u - 1995/2 + 5/2*u**2.
5*(u - 399)*(u + 1)/2
Let i(x) be the third derivative of x**6/720 - 3*x**5/40 - x**4/36 + 3*x**3 - 2408*x**2. Factor i(l).
(l - 27)*(l - 2)*(l + 2)/6
Let q(a) be the first derivative of -45/7*a**2 + 12*a - 50 + 2/7*a**3. Factor q(t).
6*(t - 14)*(t - 1)/7
Suppose 349*y - 15 = -4*x + 350*y, 0 = -5*y + 5. Find l, given that -28/5*l**2 + 0 + 84*l**x + 166/5*l**3 + 1/5*l + 45*l**5 = 0.
-1, 0, 1/15
Suppose 7*o**4 - 69*o - 406*o - 2319*o**2 - o**4 - 751*o - 645*o**3 - 118*o + 1332 = 0. Calculate o.
-2, 1/2, 111
Let d(f) be the first derivative of -f**4/40 + f**3/2 - 9*f**2/10 - 52*f/5 + 826. Suppose d(l) = 0. Calculate l.
-2, 4, 13
Let j be (16/(-384))/(2/4*(-10 - -8)). Let t(d) be the second derivative of 0*d**3 + 1/80*d**5 - j*d**4 - 6*d + 0 + 0*d**2. Suppose t(c) = 0. Calculate c.
0, 2
Let g(i) = i**4 + 693 + 3*i**3 + i**2 - 3*i**3 - 692 - i. Let n(s) = 4*s**4 + s**3 + 10*s**2 - 2*s + 5. Let r(a) = 20*g(a) - 4*n(a). What is p in r(p) = 0?
-1, 0, 3
Let s(a) = -620*a**3 + 72925*a**2 - 195775*a - 53300. Let f(y) = 23*y**3 - 2701*y**2 + 7251*y + 1974. Let v(w) = -80*f(w) - 3*s(w). Factor v(r).
5*(r - 132)*(r - 3)*(4*r + 1)
Suppose 4466 - 19082 = -14*f. Let c = -1044 + f. Find n such that c + 0*n + 15/4*n**2 + 3/4*n**3 = 0.
-5, 0
Let g(x) be the third derivative of -x**7/105 + 9*x**6/20 + x**5/10 - 79*x**4/12 - 18*x**3 + 2*x**2 + 624*x. Solve g(v) = 0 for v.
-1, 2, 27
Let v be (12/22)/((-9158)/209 - -44). Factor 0 - 1/4*z**4 - z**v - 1/2*z - 5/4*z**2.
-z*(z + 1)**2*(z + 2)/4
Let f(n) be the first derivative of n**4/10 - 88*n**3/15 - 141*n**2/5 + 541. What is p in f(p) = 0?
-3, 0, 47
Suppose 2*x + 9*x = 330. Determine m, given that 138*m**2 - 7056*m**3 + 168*m**2 - 4*m + x*m**2 = 0.
0, 1/42
Let l be 3 - (7 - (8 - 1)). Let k(v) be the second derivative of 0 + 14*v - 2/15*v**6 + 0*v**2 + 0*v**l - 1/3*v**4 + 2/5*v**5. Factor k(f).
-4*f**2*(f - 1)**2
Let n(p) be the third derivative of p**6/60 + 77*p**5/30 - 80*p**4/3 + 108*p**3 - 501*p**2. Factor n(l).
2*(l - 2)**2*(l + 81)
Suppose -2*a = 3*h - 1, 5*a = 3*h + 2*h + 40. Let b be 6 - (4 + -6 + a). Factor 1/5*x**5 - 1/5*x + 0 - 2/5*x**2 + 0*x**b + 2/5*x**4.
x*(x - 1)*(x + 1)**3/5
Let r(s) be the first derivative of -5*s**3/3 - 7910*s**2 + 15825*s + 9132. Solve r(m) = 0 for m.
-3165, 1
Determine c, given that -1044*c + 972 + 220/3*c**2 - 4/3*c**3 = 0.
1, 27
Let n(v) be the third derivative of -v**6/72 + 13*v**5/24 - 85*v**3/6 + 38*v**2. Let w(x) be the first derivative of n(x). Factor w(u).
-5*u*(u - 13)
Let i(d) be the third derivative of d**6/720 + 1027*d**5/120 + 98945*d**4/6 + 592900*d**3/9 + 187*d**2 - 2*d - 5. Suppose i(t) = 0. Calculate t.
-1540, -1
Let r(q) = -q**2 - q**3 + 6*q**3 + 5*q**3 - 2*q**3. Let f be r(1). Factor -25*j**2 + 7*j - f*j + j**3 - 6*j**3.
-5*j**2*(j + 5)
Factor -181 + 184*b + 73*b**2 + 1813 + 69*b**2 - 138*b**2.
4*(b + 12)*(b + 34)
Let u(i) = -5*i**2 + 47*i - 15. Let h be u(9). Find d such that 8*d**2 - 11*d**2 + 30*d**2 + 18*d**2 + 20*d**2 + 5*d**h + 110*d = 0.
-11, -2, 0
Let x(f) be the second derivative of -f**7/504 - 13*f**6/144 - 11*f**5/12 + 23*f**4/2 - f**2/2 + f + 5. Let l(r) be the third derivative of x(r). Factor l(g).
-5*(g + 2)*(g + 11)
Let n(t) be the second derivative of 3*t**5/20 - 3*t**4 - 69*t**3/2 + 120*t**2 + 1469*t. Factor n(d).
3*(d - 16)*(d - 1)*(d + 5)
Let r(b) = 2*b**2 + 2*b - 1. Let d(k) = -668*k**2 + 1980*k - 20. Let a(o) = d(o) + 4*r(o). Factor a(h).
-4*(h - 3)*(165*h - 2)
Factor 28/5*h**2 - 6816/5*h - 3904/5.
4*(h - 244)*(7*h + 4)/5
Let z(f) be the third derivative of 0*f - 1/450*f**5 - 61*f**2 + 0 + 2/45*f**3 + 1/300*f**6 - 1/60*f**4 - 1/1575*f**7. Solve z(b) = 0 for b.
-1, 1, 2
Let y(o) = -1. Suppose 9*f - 4*f = -2*m + 6, -f + m + 4 = 0. Let w(l) = 3*l + 0*l + 19 - 4*l**f + l + 8. Let b(h) = -w(h) - 3*y(h). Suppose b(n) = 0. What is n?
-2, 3
Find s such that -3*s**3 + 659 + 2*s**4 - 8*s**2 - 6*s**2 - 671 + s**3 + 26*s = 0.
-3, 1, 2
Suppose 3*j - 4 = 8. Suppose j*m - 45 = m. Factor -m*b**4 - 181*b**3 + 6*b**5 - b**5 + 176*b**3 + 15*b**2.
5*b**2*(b - 3)*(b - 1)*(b + 1)
Let d = 7893 - 7891. Let r(w) be the first derivative of 0*w - 20 - 5/12*w**3 - 1/2*w**d - 1/16*w**4. Factor r(a).
-a*(a + 1)*(a + 4)/4
Let c(v) be the second derivative of -19773*v**7/7 + 9126*v**6 - 19539*v**5/2 + 11030*v**4/3 - 2000*v**3/3 + 64*v**2 + 3157*v. Solve c(y) = 0 for y.
4/39, 1
Let i(b) = -b - 10. Let c be i(1). Let o = c + 16. Let -23*g - 12*g - 30*g**2 + 10*g**4 + 55*g**3 - o*g + 5*g**4 = 0. Calculate g.
-4, -2/3, 0, 1
Let u = 2890 - 2886. Let h(y) be the first derivative of 3/5*y**2 + 1/3*y**3 - 27 + 0*y - 1/20*y**u. Let h(j) = 0. Calculate j.
-1, 0, 6
Factor -3*h + 0 - 3/5*h**2.
-3*h*(h + 5)/5
Let t(p) be the first derivative of -p**3/15 + 359*p**2/10 - 714*p/5 + 1123. Find f such that t(f) = 0.
2, 357
Let f(d) be the first derivative of 7/3*d**2 - 55 + 1/3*d**3 - 1/3*d**4 + 8/3*d - 1/15*d**5. Factor f(i).
-(i - 2)*(i + 1)**2*(i + 4)/3
Let t(z) = 62*z - 62. Let o be t(1). Let n(u) be the first derivative of -5/3*u**3 + 5/4*u**4 - 5/6*u**6 + 0*u**2 + 11 + o*u + u**5. Factor n(l).
-5*l**2*(l - 1)**2*(l + 1)
Solve 175561/4 + 1/4*o**2 + 419/2*o = 0.
-419
Let w(k) = -16*k - 110. Let s be w(-20). Suppose 3*y - 42*y**3 - 1372 - 101*y + s*y**2 + 4*y**3 + 2*y**4 = 0. Calculate y.
-2, 7
Let u(c) = 14*c + 18. Let v be 2 + 4/(-22) + 93/(-33). Let q be u(v). Factor -4/13*z**2 + 0*z + 2/13*z**q + 0 - 2/13*z**3.
2*z**2*(z - 2)*(z + 1)/13
Factor -148/7*p - 146/7 - 2/7*p**2.
-2*(p + 1)*(p + 73)/7
Let b(h) be the third derivative of 1/72*h**6 + 0*h - h**2 + 1/6*h**5 + 5/2*h**3 + 