vative of x*j**3 + 2/15*j**5 + 0 + 0*j**2 + 1/63*j**7 + 0*j**4 - 4/45*j**6 + 5*j. Factor v(l).
2*l**3*(l - 2)**2/3
Let h = -279 - -282. Let d(b) be the first derivative of -3 + 10/3*b**6 + 8/3*b**h - 39/4*b**4 - 23/5*b**5 + 0*b + 2*b**2. Find l such that d(l) = 0.
-1, -1/4, 0, 2/5, 2
Let s(m) = m**3 - m**2 + 8*m - 18. Let p be s(2). Suppose -5*o - 22*o**2 - 15*o**2 - 4*o - 12 + 40*o**p = 0. What is o?
-1, 4
Let a(k) be the second derivative of -8*k**7/3 + 134*k**6/15 - 23*k**5/5 + 2*k**4/3 - 60*k - 1. Find f, given that a(f) = 0.
0, 1/7, 1/4, 2
Let n(x) be the second derivative of 0 + 12*x + 1/12*x**3 - 1/40*x**5 + 1/48*x**4 + 0*x**2 - 1/120*x**6. Factor n(c).
-c*(c - 1)*(c + 1)*(c + 2)/4
Suppose 3*t - 1 = 4*l, 3*t - 10 + 1 = 0. Let 10*q**2 + 3*q**3 + 0*q**5 + 3*q**5 - 6*q - 9*q**4 - 8*q**l + 7*q**2 = 0. Calculate q.
-1, 0, 1, 2
Let g be (4 - (-13)/18) + 2/(-9). Suppose 11 = 5*b + u - 53, 0 = -b + 3*u. Suppose -g*i**2 - 8 - b*i - 1/2*i**3 = 0. Calculate i.
-4, -1
Let f(u) be the first derivative of -u**5 + 275*u**4/4 - 1615*u**3 + 23465*u**2/2 + 68590*u - 326. Find r such that f(r) = 0.
-2, 19
Suppose 7 = -4*a - 49. Let i = -14 - a. Find p, given that -p + 10*p**2 + 27*p**3 + i*p - 9*p**5 - p**2 - 5*p + 3*p**4 = 0.
-1, 0, 1/3, 2
Let r(d) be the third derivative of -d**6/2520 + d**5/210 - d**4/42 - 3*d**3/2 + 9*d**2. Let t(y) be the first derivative of r(y). Factor t(q).
-(q - 2)**2/7
Let f be 0*(-2 - 0)/(-2). Suppose f = -9*o + 37 + 8. Factor -1/2*k**3 + 0*k**2 + 0 + 1/4*k + 0*k**4 + 1/4*k**o.
k*(k - 1)**2*(k + 1)**2/4
Let j = 2/1225 + 517/4900. Let b(v) be the first derivative of 1/42*v**6 + 0*v - 1/21*v**3 + 0*v**2 - 3/35*v**5 + 4 + j*v**4. Find t such that b(t) = 0.
0, 1
Let z(x) = -25*x**3 + 60*x**2 - 175*x + 200. Let c(f) = -2*f**3 + f**2 - f + 2. Let k(y) = -10*c(y) + z(y). Factor k(r).
-5*(r - 4)*(r - 3)**2
Factor 402*v**3 - 5 - 93*v**2 + 158*v**3 - 297*v**2 - 182*v**4 + 80*v - 63*v**4.
-5*(v - 1)**2*(7*v - 1)**2
Let z be -2 + ((-1771)/33)/(-23). Let b = 8 + -23/3. Find u, given that z*u - 2 + b*u**2 = 0.
-3, 2
Suppose -7*u - 11*u = -13*u. Let g be u*(18/10 + (-64)/80). Factor 0 - 2/15*k**3 + 0*k**2 - 2/15*k**4 + g*k.
-2*k**3*(k + 1)/15
Let c(l) be the first derivative of 0*l + 2/3*l**3 - 4 - l**2. Factor c(s).
2*s*(s - 1)
Suppose 20*i - 23*i - 2*d = -13, 4*i = -4*d + 20. Factor 0*s + 4/5*s**4 + 0 + 8/5*s**i + 4/5*s**2.
4*s**2*(s + 1)**2/5
Let p(v) be the second derivative of -v**7/63 - v**6/3 - 83*v**5/30 - 205*v**4/18 - 24*v**3 - 80*v**2/3 - 13*v - 11. Solve p(c) = 0 for c.
-5, -4, -1
Suppose 0*r = 4*r + 2*x - 22, 0 = -2*x + 6. Let g be 10/(-20) + 14/r. Solve -2*m**2 + 0 - m**2 + g*m + 5 + 1 = 0 for m.
-1, 2
Let f(o) be the second derivative of o**7/21 + o**6/5 - 2*o**5/5 + 23*o. Solve f(s) = 0 for s.
-4, 0, 1
Let s(t) = -25*t - 225. Let z be s(-9). Let l(w) be the third derivative of 9*w**2 - 1/84*w**4 + z*w**3 + 0 + 0*w + 1/42*w**5. Factor l(v).
2*v*(5*v - 1)/7
Let d(o) = -o**3 - 16*o**2 + 47*o + 2. Let a(g) = 91*g + 35*g - 231*g**2 + 7 - 4*g**3 + 14*g + 182*g**2. Let v(l) = -4*a(l) + 14*d(l). Factor v(h).
2*h*(h - 7)**2
Let f(y) = -y + 2. Let m(h) = 2*h**2 + 16*h + 20. Let n(z) = -2*f(z) - m(z). Factor n(w).
-2*(w + 3)*(w + 4)
Let s = -200 + 41. Let g = s - -162. Factor 0*b**2 + 2/3*b**g + 0 + 0*b.
2*b**3/3
Let u(k) = -190*k**5 - 55*k**4 + 215*k**3 + 55*k**2 - 135*k. Let h(a) = -7*a**5 - 2*a**4 + 8*a**3 + 2*a**2 - 5*a. Let r(q) = -55*h(q) + 2*u(q). Factor r(g).
5*g*(g - 1)**2*(g + 1)**2
Solve -20*q + 35*q**4 - 10*q**4 - 30*q**4 + 15*q**3 = 0 for q.
-1, 0, 2
Suppose 4*t + 3*o = 5*o + 22, 2*t = -o + 17. Let 16*b**2 + 2*b**5 + 4 - 2*b**3 - 5*b - 2*b - 2*b**3 - 4*b**4 - t*b = 0. What is b?
-2, 1
Let i = -14/135 + 461/540. Suppose -9/4*m**4 - i + 3/2*m + 3*m**2 - 3/2*m**3 = 0. Calculate m.
-1, 1/3, 1
Let j(r) be the first derivative of -3/5*r**5 - 3*r**3 + 3/2*r**2 + 9/4*r**4 + 0*r + 23. Factor j(x).
-3*x*(x - 1)**3
Let z(u) be the first derivative of 7*u**4/12 + 11*u**3/3 + 16*u**2/3 - 4*u - 146. Suppose z(k) = 0. Calculate k.
-3, -2, 2/7
Find f, given that -10/9*f**2 + 0*f - 1/9*f**3 + 160/9*f**4 + 16/9*f**5 + 0 = 0.
-10, -1/4, 0, 1/4
Solve -3*o**2 + 19*o**2 - 4*o**4 - 27*o**3 + 27*o**3 = 0.
-2, 0, 2
Let s(t) be the first derivative of -3*t**5/20 + t**4 + 11*t**3/2 + 9*t**2 + 40*t + 21. Let j(v) be the first derivative of s(v). Factor j(n).
-3*(n - 6)*(n + 1)**2
Let x(n) = n**2 + n. Let w(a) = 3*a + 2 + 2*a**2 + 2 + 0 + 3*a. Suppose 4*u - u - 13 = 5*h, -h = 5*u - 31. Let l(m) = u*x(m) - w(m). Let l(o) = 0. What is o?
-1, 1
Let t(i) be the second derivative of i**4/12 - 2*i**3/3 - 5*i**2/2 - 9*i + 1. Find d such that t(d) = 0.
-1, 5
Let u(n) = -22*n**2 + 22*n - 42. Let w(t) = 19*t**2 - 23*t + 43. Let x(d) = -5*u(d) - 6*w(d). Factor x(z).
-4*(z - 4)*(z - 3)
Let b(s) be the third derivative of s**6/120 - s**5/15 + s**4/8 + 323*s**2. Factor b(n).
n*(n - 3)*(n - 1)
Let b(i) be the second derivative of -i**6/1260 - i**5/210 + i**4/28 + 7*i**3/3 - 5*i. Let w(y) be the second derivative of b(y). What is x in w(x) = 0?
-3, 1
Let y(p) be the third derivative of p**6/360 - 2*p**5/45 + 11*p**4/72 + 10*p**3/9 - 3*p**2 - 6*p. Let y(o) = 0. What is o?
-1, 4, 5
Let i(g) = 6*g + 26. Let o be i(-5). Let f = o + 22/5. Factor -f*x - 2/5*x**2 + 0.
-2*x*(x + 1)/5
Let y(c) be the third derivative of -c**7/42 - c**6/8 + c**5/12 + 5*c**4/8 - 36*c**2 - c. Factor y(t).
-5*t*(t - 1)*(t + 1)*(t + 3)
Suppose -266 + 238 = -14*v. Let x = -87/4 + 22. Let -3/4*i**v + 0 + 3/4*i**3 + 1/4*i - x*i**4 = 0. What is i?
0, 1
Let i(s) be the first derivative of s**3/9 + 16*s**2/3 + 31*s/3 + 47. Factor i(z).
(z + 1)*(z + 31)/3
Let r be (-54)/(-45)*(0 + (-10)/(-6)). Factor -2*i**2 - 33*i - 450 + i**2 + 93*i - i**r.
-2*(i - 15)**2
Let y = 353 - 351. Solve -24/7 + 8/7*z**3 + 8*z - 38/7*z**y = 0 for z.
3/4, 2
Let y(p) be the first derivative of 2*p**6/15 + 4*p**5/5 - 23*p**4/5 + 44*p**3/15 + 44*p**2/5 - 64*p/5 + 407. Let y(a) = 0. What is a?
-8, -1, 1, 2
Let d(h) be the third derivative of -7/6*h**4 - 17*h**2 + 1/30*h**6 + 0*h + 8/3*h**3 + 0 + 2/15*h**5. Factor d(k).
4*(k - 1)**2*(k + 4)
Let x(k) be the first derivative of -18*k + 21/2*k**2 - 1 + 5*k**3. Factor x(i).
3*(i + 2)*(5*i - 3)
Let s(o) = -2*o**4 - 11*o**3 + 2*o**2 + o. Let q(u) = -u**4 - 5*u**3 + u**2 + u. Let j(h) = 5*q(h) - 2*s(h). Factor j(g).
-g*(g - 1)*(g + 1)*(g + 3)
Factor -30/7*x + 9/7 + 3/7*x**4 - 18/7*x**3 + 36/7*x**2.
3*(x - 3)*(x - 1)**3/7
Let g(h) = -11*h + 114. Let o be g(9). Let l be (-6 - 0) + 108/o. Factor -2/5 + l*u**2 - 4/5*u.
2*(u - 1)*(3*u + 1)/5
Let v(b) = -b**2 - 17*b + 7. Let r be v(0). Let h(a) be the first derivative of a - r + 4/3*a**3 + 5/2*a**2. Factor h(d).
(d + 1)*(4*d + 1)
Factor -4*l - 2*l**2 + 3*l**5 - 24*l**3 + 8*l**2 + 14 + 8*l**3 + 33*l - 4*l**4.
(l - 2)*(l + 1)**3*(3*l - 7)
Let c(i) = -7*i**3 + 140*i**2 - 393*i + 250. Let s(l) = -50*l**3 + 980*l**2 - 2755*l + 1750. Let x(b) = 15*c(b) - 2*s(b). Factor x(a).
-5*(a - 25)*(a - 2)*(a - 1)
Let x be (42 - 37)*(-2)/(-4). Factor 5*y + 5/2 + x*y**2.
5*(y + 1)**2/2
Let j = -84 - -86. Solve -257*u**j + 248*u**2 + 0 + 6*u + 3*u**4 + 0 = 0.
-2, 0, 1
Let y(o) be the second derivative of -3*o**5/20 + 47*o**4/2 - 185*o**3/2 + 138*o**2 - 75*o + 2. Factor y(v).
-3*(v - 92)*(v - 1)**2
Let u(y) = -y**5 - 26*y**4 + 6*y**3 - 3*y + 3. Let p(h) = h**5 + 54*h**4 - 14*h**3 + 7*h - 7. Let x(a) = -3*p(a) - 7*u(a). Factor x(o).
4*o**4*(o + 5)
Let i be (3/6)/(1/(-40)). Let b be -3*-2*(-5)/i. Factor -b*l**2 - 1/4*l**3 - 2 - 3*l.
-(l + 2)**3/4
Let z(t) be the first derivative of 5*t**4 - 14 + 8/3*t**3 - 10*t**2 - 8*t. Factor z(j).
4*(j - 1)*(j + 1)*(5*j + 2)
Let m(f) = f**2 - 7*f - 14. Let d be m(-5). Let a = d + 2. Find v such that a - 2*v**2 - 30*v + 4*v**2 + 27 + v**2 = 0.
5
Let r(s) = -17*s**3 + 2715*s**2 + 668*s. Let c(p) = p**3 - 4*p. Let y(o) = -3*c(o) + r(o). Find x such that y(x) = 0.
-1/4, 0, 136
Let o be 2/(-8) + 51/12. Let y = -52 - -55. Suppose 25*r**4 + r**3 - 2*r**5 - 29*r**o - y*r**3 = 0. Calculate r.
-1, 0
Factor -110/7 + 222/7*x - 114/7*x**2 + 2/7*x**3.
2*(x - 55)*(x - 1)**2/7
Suppose 2*x + x - 36 = 0. Let -9*q + 25*q**5 + 6 - 6*q**2 - 28*q**5 + 0*q**3 + x*q**3 = 0. Calculate q.
-2, -1, 1
Let v(n) = -7*n**3 + 2*n**2 + n - 2. Let q be v(1). Let 