 of 1/60*i**5 + 2/9*i**3 + 0*i**2 - 1/9*i**4 - 2*i + 2. Factor r(o).
o*(o - 2)**2/3
Let 24/5*l**2 - 187/5*l - 42 + 1/5*l**3 = 0. What is l?
-30, -1, 7
Let z(t) be the third derivative of -1/80*t**6 + 0*t**3 + 1/420*t**7 - 2 + 0*t + 6*t**2 - 5/48*t**4 - 3/40*t**5. Factor z(b).
b*(b - 5)*(b + 1)**2/2
Let z = -1024/21 - -293/6. Let d(k) be the second derivative of 3/20*k**5 - 27*k + 0*k**2 - z*k**7 + 0*k**3 + 0 + 1/10*k**6 - 1/4*k**4. Factor d(u).
-3*u**2*(u - 1)**2*(u + 1)
Determine w, given that 268346*w**3 - 6*w**2 - 5*w**4 + 3*w**4 + 21*w + 12 - 4*w**4 + 3*w**5 - 268370*w**3 = 0.
-1, 1, 4
Let z(d) be the third derivative of d**7/1890 + d**6/810 - d**5/135 - 11*d**3/6 - 98*d**2. Let a(x) be the first derivative of z(x). Factor a(r).
4*r*(r - 1)*(r + 2)/9
Factor -13/2*t - 1/2*t**2 - 20.
-(t + 5)*(t + 8)/2
Let w(u) = -2*u**2 - 2652*u - 879128. Let q(j) = 10*j**2 + 13260*j + 4395635. Let z(n) = -2*q(n) - 11*w(n). Find f such that z(f) = 0.
-663
Let s(y) be the third derivative of y**8/84 + 44*y**7/105 + 157*y**6/30 + 412*y**5/15 + 56*y**4/3 - 1408*y**3/3 - 1408*y**2 + 2. Suppose s(a) = 0. Calculate a.
-11, -4, 1
Factor 8415*d - d**2 + 661 + 2*d**2 - 3130*d - 4377*d + 246.
(d + 1)*(d + 907)
Let r(i) = -i**2 - i + 2. Let n(m) = -102*m**2 + 43*m - 17. Let s(u) = 4*n(u) + 36*r(u). Factor s(y).
-4*(3*y - 1)*(37*y + 1)
Let w be ((-85)/34)/(2220/(-1184)). Let -64/3*k - w*k**5 + 4/3*k**4 - 32/3*k**2 + 32/3*k**3 + 64/3 = 0. What is k?
-2, 1, 2
Let a(k) be the third derivative of k**5/90 - 838*k**4/9 + 2808976*k**3/9 + 1595*k**2 - 3*k. Factor a(l).
2*(l - 1676)**2/3
Let k(q) = -2*q**2 - 29*q + 88. Let i be k(-17). Factor -2*c**2 - 4*c**3 + 3*c**2 + 20 + 40*c + 9*c**i + 24*c**2.
5*(c + 1)*(c + 2)**2
Let q = -164 - -190. Let y be ((-403)/q - -10) + 1 + 5. Factor -y*b + 0 + 1/4*b**4 + 5/4*b**2 - b**3.
b*(b - 2)*(b - 1)**2/4
Let v be 3/18 + (-14)/294. Let j = 23/42 - v. Suppose -j*h**2 - 18/7 + 3*h = 0. What is h?
1, 6
Let w(m) = 127*m**2 - 16753*m + 7005664. Let r(q) = -176*q**2 + 23454*q - 9807930. Let f(h) = 13*r(h) + 18*w(h). Factor f(j).
-2*(j - 837)**2
Factor 454 - 2128*q - 20*q**3 - 2839*q**2 + 618 + 1467*q**2.
-4*(q + 2)*(q + 67)*(5*q - 2)
Let l(y) be the second derivative of 1/252*y**7 - 58*y - 5/72*y**4 + 0*y**3 - 1/60*y**6 - 3/40*y**5 + 0 + 0*y**2. Determine j so that l(j) = 0.
-1, 0, 5
Let b(l) be the third derivative of l**6/180 + 7*l**5/270 - 23*l**4/108 + 13*l**3/27 - 255*l**2 - 3*l. Find g, given that b(g) = 0.
-13/3, 1
Let 88/7 - 1/7*n**2 - 6*n = 0. Calculate n.
-44, 2
Let f be (-2)/(-8) + (-2405)/(-18252) - (-8)/(-108). Suppose 2/13*v**2 + f - 6/13*v = 0. What is v?
1, 2
Let a(i) be the first derivative of i**4/10 - 26*i**3/15 - 4*i**2 + 168*i/5 + 599. Determine w, given that a(w) = 0.
-3, 2, 14
Let o(y) = 19*y**2 + 159*y - 313. Let p(d) = 11*d**2 + 79*d - 157. Let i(z) = -5*o(z) + 9*p(z). Factor i(t).
4*(t - 19)*(t - 2)
Let u(w) = w**2 + 7*w + 4. Let p be u(0). Determine g, given that -3 + 3*g**3 - p*g**2 - 9*g**2 + 9*g + 4*g**2 = 0.
1
Suppose -3*k = 5*l - 13, -14*l - 5*k = -12*l - 9. Let s(j) be the first derivative of 1 - 4/5*j - j**l + 2/5*j**3. Let s(m) = 0. Calculate m.
-1/3, 2
Let y = -987 + 1665. Let w(a) = -7*a**3 + a**2 + 6*a**4 - y*a - 7 + 678*a. Let t(b) = -b**4 + b**3 + 1. Let j(u) = 21*t(u) + 3*w(u). Factor j(s).
-3*s**2*(s - 1)*(s + 1)
Suppose -2*j - 3*v = -12, 2*j - 1062*v - 8 = -1063*v. Factor 1/3*d - 1/6 - 2/3*d**4 - 2/3*d**j + 1/2*d**2.
-(d + 1)**2*(2*d - 1)**2/6
Let q(n) = n**4 - n**3 - n**2 - n - 50. Let c(j) = 17*j**4 + 1065*j**3 + 47869*j**2 - 32411*j - 550. Let m(u) = c(u) - 11*q(u). Factor m(f).
2*f*(f + 90)**2*(3*f - 2)
Let b(a) be the second derivative of -a**5/30 - 79*a**4/6 - 6241*a**3/3 - 493039*a**2/3 + 1132*a. Let b(g) = 0. What is g?
-79
Let q = 169 + -281. Let u = -109 - q. Solve -m**2 - 6*m**5 + 2*m**5 - 2*m**u + 3*m**4 + 10*m**4 - 6*m**4 = 0.
-1/4, 0, 1
Suppose -5*k + 5*z = -10 + 50, -z + 17 = 2*k. Factor 3/4*r**2 + r - 3/4*r**4 + 0 - 5/4*r**k + 1/4*r**5.
r*(r - 4)*(r - 1)*(r + 1)**2/4
Suppose -225 + 735*u - 438 - 28*u**2 - 564 + 25*u**2 + 495*u = 0. What is u?
1, 409
Let c be (-21)/(-117) - ((-4606)/611)/49. Factor -c + 2/3*r - 1/3*r**2.
-(r - 1)**2/3
Let u = -75 + 159. Let k = u + -74. Factor -5*j**3 + 13*j - k*j + 6*j**3 - 4*j**3.
-3*j*(j - 1)*(j + 1)
Let o be (2 - 0)/(-2) + 3. Suppose -o*p = -35 + 15. What is u in -5 + 5 + 3*u**5 - 3*u**4 - p*u**3 + u**3 + 3*u**2 + 6*u = 0?
-1, 0, 1, 2
Let u(x) = -x**2 - 295*x - 1917. Let b(q) = q**2 - 3*q + 7. Let l(i) = -6*b(i) - 2*u(i). Solve l(s) = 0 for s.
-6, 158
Let o(s) = 10*s**2 - 15*s - 11*s - 6 - 4*s. Suppose -54 = 4*n + 14. Let y(z) = 29*z**2 - 91*z - 17. Let i(h) = n*o(h) + 6*y(h). Find p, given that i(p) = 0.
0, 9
Suppose 1 = -9*k + 19. Suppose -2*l + 11 = 1. Solve -15*u**l + 8*u + 2*u + 13*u**5 + 8 + k*u**2 - 10*u**4 - 14*u**3 + 6*u = 0 for u.
-2, -1, 1
Let c be (-40)/(104/((-37440)/350)). Let 32*p**3 - 208/7*p**2 + c - 384/7*p + 14*p**4 = 0. What is p?
-2, 6/7
Let f(k) = 5*k + 349. Let u be f(-64). Suppose u*w = 19*w + 20. Factor 10/7*b**w - 2/7*b**3 + 8/7 - 16/7*b.
-2*(b - 2)**2*(b - 1)/7
Let p be ((-1165)/466)/(783/276 + -3). Suppose -14/9*l**4 + 20/3*l**3 + 40/9*l + p*l**2 - 8/3 = 0. Calculate l.
-1, 2/7, 6
Determine h so that 181*h**4 + 167*h**3 - 1134*h**2 + 15*h**5 + 78*h + 1049*h**2 - 356*h**3 = 0.
-13, -2/3, 0, 3/5, 1
Let t be 4/(-6) - (-34)/15. Let n = 7686/145 + -7657/145. Find r, given that 6/5*r**2 - n*r**3 - 12/5*r + t = 0.
2
Let q = -705 - -691. Let w be 77/429 - q/91. Factor -7/3*x - 2/3 - 5/3*x**3 - 3*x**2 - w*x**4.
-(x + 1)**3*(x + 2)/3
Let y be 660/(-297) + 50/15. Suppose 0*z + 0 - 2/9*z**4 - 2/9*z**5 - 2/3*z**2 + y*z**3 = 0. Calculate z.
-3, 0, 1
Let w(x) = -2*x**2 - 4*x + 2. Suppose -40*f + 2 = -41*f. Let s be w(f). Factor -3/4*u**s + 0*u + 3/4.
-3*(u - 1)*(u + 1)/4
Let c be (-1560)/(-585) + 49/(-42). Suppose -t**2 + c - 5/4*t = 0. What is t?
-2, 3/4
Let s be (-12)/18*2/(-4). Let r = -5484 - -49357/9. Factor s*j**4 - r - 4/9*j**3 + 4/9*j - 2/9*j**2.
(j - 1)**2*(j + 1)*(3*j - 1)/9
Let g(p) be the third derivative of -p**7/8820 - p**6/84 - 29*p**5/420 - 7*p**4/6 - p**3/2 + 6*p**2 - 9. Let t(u) be the second derivative of g(u). Factor t(h).
-2*(h + 1)*(h + 29)/7
Let t = 43692 - 43690. What is n in -t - 2/3*n**2 + 8/3*n = 0?
1, 3
Suppose 107/7*k + 122/7*k**2 - 1/7*k**5 + 5/7*k**4 + 54/7*k**3 + 33/7 = 0. What is k?
-3, -1, 11
Let t(h) be the first derivative of -2*h**3/21 - 186*h**2/7 - 370*h/7 - 3325. Let t(q) = 0. Calculate q.
-185, -1
Let b(m) be the third derivative of -m**6/216 + 31*m**5/72 - 43*m**3/2 + 179*m**2. Let w(i) be the first derivative of b(i). Solve w(k) = 0.
0, 31
Let f(h) be the second derivative of -3*h**5/4 - 1017*h**4/4 + 307*h**3 + 612*h**2 - 10939*h. Factor f(z).
-3*(z - 1)*(z + 204)*(5*z + 2)
Let l be (2 - 5) + 301/63. Let a be -10 + 4/(-1) + (-544)/(-36). Suppose -l*i + 8/9 - a*i**2 = 0. Calculate i.
-2, 2/5
Suppose 0 = -t - 5*z + 9*z + 37, 2*t = 5*z + 89. Suppose -175 + 4 = -t*q. Factor 2/7*m**q - 2/7*m**5 + 0 + 0*m**2 - 3/7*m**4 + 0*m.
-m**3*(m + 2)*(2*m - 1)/7
Let g(t) be the first derivative of -t**6/6 + 21*t**5/5 - 29*t**4 + 272*t**3/3 - 144*t**2 + 112*t + 3459. Factor g(j).
-(j - 14)*(j - 2)**3*(j - 1)
Let w(j) be the first derivative of -j**3/7 - 3*j**2/14 + 60*j/7 + 90. Factor w(x).
-3*(x - 4)*(x + 5)/7
Let v(p) be the third derivative of -p**8/252 - 4*p**7/315 + 2*p**6/9 - 8*p**5/15 - 2018*p**2. Factor v(m).
-4*m**2*(m - 2)**2*(m + 6)/3
Determine a, given that -1525425/2*a**2 - 9938375/2*a**3 - 1331/2 - 78045/2*a = 0.
-11/215
Let q(g) be the first derivative of 5*g**4/12 - 5*g**3/2 + 5*g**2 - 19*g + 38. Let x(i) be the first derivative of q(i). Factor x(s).
5*(s - 2)*(s - 1)
Let s(k) be the first derivative of 2*k**3/9 - 48*k**2 + 1120*k/3 - 3933. Determine o so that s(o) = 0.
4, 140
Let c(h) be the second derivative of h**4/12 - h**3/6 - 753*h**2/2 + 552*h. Let z be c(28). Solve -1/5*j**z + 1/5 + 1/5*j - 1/5*j**2 = 0.
-1, 1
Suppose 5*n + 2*z - 53 = 0, 18*n - 23*n + 2*z = -97. Factor -n - 13/2*d - 1/2*d**2.
-(d + 3)*(d + 10)/2
Find k, given that -148*k**2 + 28*k + 1740/7*k**3 - 900/7*k**4 + 0 = 0.
0, 7/15, 1
Let z(t) be the third derivative of -132*t**2 - 107/10*t**6 + 0*t**3 + 0 - 68/105*t**7 - 544/