vative of h**7/525 + 16*h**6/25 + 4703*h**5/75 + 304*h**4 + 1805*h**3/3 - 308*h**2 + 2*h. Factor l(d).
2*(d + 1)**2*(d + 95)**2/5
Let a(u) be the third derivative of 0*u**3 - 5/12*u**5 + 0 + 5/8*u**4 + 1/24*u**6 - 28*u**2 + 0*u + 1/42*u**7. Factor a(o).
5*o*(o - 1)**2*(o + 3)
Factor -134 + 2*x**3 - 190 + 74*x**2 + 29*x - 42*x**2 + 61*x.
2*(x - 2)*(x + 9)**2
Suppose -12*m + 168 = 16*m. Suppose -5*t = v - 10, -3*t = -m*t - 3*v - 6. Factor 1 - 2/3*s**4 + s**t + s**2 - 7/3*s.
-(s - 1)**3*(2*s + 3)/3
Let c = -22174 - -1064353/48. Let a(f) be the second derivative of -c*f**4 - f**2 - 3/8*f**3 + 0 + 18*f. Factor a(i).
-(i + 1)*(i + 8)/4
Let j(w) = -8*w**5 - w**4 + 6*w**3 - 2*w**2 - 5*w + 10. Let t = 117 + -138. Let k(u) = -u**5 + 1. Let a(l) = t*k(l) + 3*j(l). Find q, given that a(q) = 0.
-3, -1, 1
Suppose 0 = -2*p - 5*d - 28, -p + 2 = 2*d + 14. Let l be 102/(-30) - p - (-9)/(-15). Find m, given that 14/13*m**4 - 8/13*m**2 + 0 + l*m - 24/13*m**3 = 0.
-2/7, 0, 2
Let p = 657 + -405. Suppose 0*c = -2*c + p. Factor 0*s**2 - c*s - 3 - 3 + 119*s - s**2.
-(s + 1)*(s + 6)
Let l = 585621/2 + -292446. Find g, given that -1/2*g**2 - l - 27*g = 0.
-27
Let m(d) = -66*d - 1061. Let j be m(-19). Let b(q) = -q**3 + 4*q**2 - 2*q - 1. Let h be b(3). Factor -j*s - 2*s**h - 2*s**2 + 196*s + s**3.
s*(s - 3)*(s - 1)
Let v = 121 - 58. Suppose -5*d = h - 0*h - 11, -4*h - d = -v. Factor h*a**4 + 2*a**2 - 12*a**3 - 4*a - 12*a**3 - 5*a**2 + 19*a**2 - 4*a**5.
-4*a*(a - 1)**4
Let i = -2032 + 2029. Let q(z) = 2*z**2 + 4*z**2 - 3 + 3*z - 6. Let v(c) = -11*c**2 - 6*c + 17. Let p(d) = i*v(d) - 5*q(d). Factor p(h).
3*(h - 1)*(h + 2)
Factor -2947295521/6 - 466/3*v**3 - 1/6*v**4 - 54289*v**2 - 25298674/3*v.
-(v + 233)**4/6
Let c be (-1 + 3)/(50/(-275)). Let i = c + 14. Factor 68*g**2 - 7*g**2 - 300*g + 500 - 4*g**i - g**2.
-4*(g - 5)**3
Let g(k) be the third derivative of k**6/24 + 11*k**5 - 2045*k**4/24 - 450*k**3 + 15*k**2 - 132*k. Find r such that g(r) = 0.
-135, -1, 4
Let w = -48 - -51. Factor 121 + 8*u**2 + 7 + 41 + 3*u**w + 71*u**2 + 533*u.
(u + 13)**2*(3*u + 1)
Let j(s) be the first derivative of -3*s**4/4 - 188*s**3 + 1137*s**2/2 - 570*s - 482. Factor j(k).
-3*(k - 1)**2*(k + 190)
Let c(a) be the first derivative of a**4/8 - 38*a**3/3 + 465*a**2 - 7200*a + 5854. Solve c(r) = 0.
16, 30
Let p be ((-4)/9)/(30/(-135)). Let h(c) = -4*c**3 + 4*c**2 - 3*c + 3. Let z(f) = -3*f**3 + 3*f**2 - 2*f + 2. Let r(b) = p*h(b) - 3*z(b). What is i in r(i) = 0?
0, 1
Let i(o) be the first derivative of 2*o**3/21 - 16*o**2/7 - 2760*o/7 - 12745. Determine f, given that i(f) = 0.
-30, 46
Suppose -3*o - 709 = 30*y - 31*y, -2*y - 2*o = -1410. Let r = 7778/11 - y. Determine g so that r + 12/11*g**3 - 18/11*g - 18/11*g**2 = 0.
-1, 1/2, 2
Let g = -11 + 10. Let f be (-1 - 32/(-5)) + g. Determine u so that 10 + f*u**2 - 2/5*u**3 - 14*u = 0.
1, 5
Let s(k) be the first derivative of k**7/210 + k**6/9 + 3*k**5/10 - 50*k**3/3 - 16. Let i(b) be the third derivative of s(b). Factor i(z).
4*z*(z + 1)*(z + 9)
Let z be ((-48)/(-132))/((-4140)/(-2530)). What is k in 40/9 + 14/3*k + z*k**2 = 0?
-20, -1
Let i be 6/(-8) - (-10 - -1)/(-540)*-46. Let o(w) be the second derivative of 30*w + 0*w**2 - 1/8*w**4 - 1/12*w**3 + 0 - i*w**6 - 3/40*w**5. Factor o(p).
-p*(p + 1)**3/2
Let j be (-39 - -87)/(-6)*45/72*(-3)/5. Factor -1/6*p**4 - 1/3 + 1/2*p**2 + 1/6*p - 1/6*p**j.
-(p - 1)**2*(p + 1)*(p + 2)/6
Let v = -6629 + 6633. Let u(c) be the first derivative of 4/5*c**5 - 16*c + 9 + 4*c**3 - 8*c**2 + v*c**4. Let u(h) = 0. What is h?
-2, -1, 1
Let n(i) be the first derivative of 40*i + 2/25*i**5 - 3/2*i**4 - 33*i**2 + 158/15*i**3 + 148. Factor n(k).
2*(k - 5)**2*(k - 4)*(k - 1)/5
Let v(z) be the second derivative of z**6/6 - 7*z**5/4 + 5*z**4/2 + 80*z**3/3 - 80*z**2 + 2081*z. Determine i so that v(i) = 0.
-2, 1, 4
Let b(j) be the first derivative of -22 - 2/5*j**5 - 1/2*j**4 + 0*j**2 - 1/9*j**6 - 2/9*j**3 + 0*j. Factor b(u).
-2*u**2*(u + 1)**3/3
Let m(z) = z**2 + 10*z + 23. Let o be m(-3). Suppose 11*a + 21*a + 2*a + 113*a**2 - 6*a**3 + 5*a - 38*a**o = 0. Calculate a.
-1/2, 0, 13
Let q(w) be the second derivative of -w**5/20 + 26*w**4/3 + 3806*w. Factor q(k).
-k**2*(k - 104)
Let m = 870 + -3078. Let h = m + 13325/6. Solve -20/3*b**2 - h*b**3 + 121/6*b**4 - 2/3*b + 0 = 0 for b.
-2/11, 0, 1
Let k(x) be the first derivative of 8/3*x**3 + 0*x + 292/5*x**5 - 28/3*x**6 + 10 + 16*x**2 - 69*x**4. Suppose k(w) = 0. What is w?
-2/7, 0, 1/2, 1, 4
Let k(c) = c**3 - 422*c**2 + 413*c - 16. Let p(a) = -6*a**3 + 2109*a**2 - 2061*a + 84. Let z(h) = -21*k(h) - 4*p(h). Determine m so that z(m) = 0.
-143, 0, 1
Suppose 0 = -14*l + 22*l - 16. Suppose -v + 4*v - 166*v**l + 317*v**2 - 156*v**2 = 0. What is v?
0, 3/5
Let a(y) = -158*y + 3320. Let h be a(21). Let i(j) be the first derivative of j**4 + 20/3*j**3 + 0*j**h + 0*j + 33. Factor i(z).
4*z**2*(z + 5)
Let -12*r**2 + 1424 + 46*r**2 - 17*r**2 + 708*r - 19*r**2 = 0. What is r?
-2, 356
Let c(p) be the second derivative of -5*p**4/16 + 659*p**3/2 + 792*p**2 - 6083*p. Factor c(x).
-3*(x - 528)*(5*x + 4)/4
Let x(a) be the second derivative of -a**10/5760 - a**9/2240 - a**8/4480 - a**4/12 + 25*a**2 + 5*a + 2. Let h(l) be the third derivative of x(l). Factor h(t).
-3*t**3*(t + 1)*(7*t + 2)/4
Factor -10 + 26/3*w + 2*w**2 - 2/3*w**3.
-2*(w - 5)*(w - 1)*(w + 3)/3
Suppose -461*f + 487*f - 52 = 0. Let i(n) be the first derivative of -1/6*n**6 - 13 - 25/4*n**4 - 38/3*n**3 - 8/5*n**5 - 8*n - 14*n**f. Factor i(w).
-(w + 1)**2*(w + 2)**3
Let m(j) = -j**4 - 3*j**3 + 2*j**2 + j + 2. Let w(c) = -16*c**4 - 134*c**3 + 586*c**2 - 522*c + 84. Let i(d) = -2*m(d) - w(d). Find n such that i(n) = 0.
-11, 2/9, 1, 2
Let m(j) be the first derivative of 1/6*j**6 - 175/3*j**3 + 49*j**2 + 0*j + 93/4*j**4 + 94 - 17/5*j**5. Factor m(c).
c*(c - 7)**2*(c - 2)*(c - 1)
Let f(m) be the first derivative of -87/2*m - 1/2*m**3 - 45/2*m**2 + 22. Suppose f(x) = 0. Calculate x.
-29, -1
Let p = -47019 - -47021. Let 24 + 0*z - p*z**2 - 2/9*z**3 = 0. What is z?
-6, 3
Let f(h) be the first derivative of 5*h**3/3 - 155*h**2 - 315*h - 2240. Determine z, given that f(z) = 0.
-1, 63
Let h = -76962/7 + 230914/21. Factor 0*q**2 - h*q**4 + 2/3*q**5 + 0*q + 0 + 2/3*q**3.
2*q**3*(q - 1)**2/3
Factor -28/3*m**2 + 0*m + 0 - 1/3*m**3.
-m**2*(m + 28)/3
Let o(f) be the first derivative of f**3/12 + 311*f**2/8 + 852. Factor o(y).
y*(y + 311)/4
Let f(n) be the first derivative of -6*n + 0*n**4 + 161 + 3/2*n**3 - 1/10*n**5 + n**2. Factor f(o).
-(o - 3)*(o - 1)*(o + 2)**2/2
Let r be -6 - (11254/(-255) + 38). Solve 8/15*c**4 - 28/15*c**2 - 4/5 - 34/15*c + r*c**5 + 0*c**3 = 0.
-3, -1, 2
Let i = 78628 + -78626. Factor -16/9 + 14/9*m + 2/9*m**i.
2*(m - 1)*(m + 8)/9
Let s be (-102)/(-45) - (-4)/10. Let x = 194541 + -194541. Determine t, given that -2/3*t**5 + 0*t**3 + x*t + 2*t**4 - s*t**2 + 0 = 0.
-1, 0, 2
Suppose 26*v - 21*v - 3*k = 39, -5*v - k = -47. Factor 29 + 25 + h**2 - 54 + v*h.
h*(h + 9)
Suppose -5 - 17 = -v + 4*x, -10 = 2*x. Let d be 216/(-396) - (-100)/22. Suppose 24 - v*b**3 + 3*b - 11*b - 6*b**2 - d*b + 5*b**3 = 0. Calculate b.
-2, 2
Let f(z) = z**3 + 364*z**2 - 1138*z + 658. Let x(h) = -h**3 - 122*h**2 + 380*h - 220. Let c(d) = -6*f(d) - 21*x(d). Factor c(n).
3*(n - 2)*(n + 28)*(5*n - 4)
Let f(n) = -7*n**3 - 119*n**2 + 142*n - 25. Let q(a) = -13*a**3 - 234*a**2 + 283*a - 51. Let c(g) = -5*f(g) + 3*q(g). Factor c(u).
-(u - 1)*(u + 28)*(4*u - 1)
Let k(y) = -3*y**3 - 610*y**2 - 612*y + 15. Let d(w) = 15*w**3 + 3051*w**2 + 3060*w - 72. Let u(x) = 5*d(x) + 24*k(x). Factor u(r).
3*r*(r + 1)*(r + 204)
Let f(m) be the third derivative of 5/8*m**4 + m**3 + 0*m + 3/20*m**5 + 0 + 24*m**2. Solve f(u) = 0 for u.
-1, -2/3
Let w(i) = -i**2 - 9*i - 16. Suppose -6*u - l - 25 = -u, u = -4*l + 14. Let h be w(u). Factor -56*b**2 + 83*b + 24*b**h - 23*b + 8.
-4*(b - 2)*(8*b + 1)
Let l(m) = 35*m**3 + 67*m**2 - 304*m + 354. Let x(c) = -99*c**3 - 201*c**2 + 914*c - 1065. Let d(w) = -17*l(w) - 6*x(w). Factor d(p).
-(p - 62)*(p - 3)*(p - 2)
Let p(v) = 2*v**2 - 26*v - 18. Let f(y) = 4*y**2 + 2*y + 1. Let u(d) = d**2 + d. Let w(z) = f(z) - 3*u(z). Let m(n) = p(n) - 6*w(n). Factor m(r).
-4*(r + 2)*(r + 3)
Let p be (-14)/(-266) - (-4620)/665. Let k(x) be the third derivative of 0*x**3 