32)*(2 - g/3). Factor -a*l**2 + 4*l - 6.
-2*(l - 3)**2/3
Let k(f) = 7*f**3 + 630*f**2 - 7*f - 603. Let t(m) = m**3 - 2*m**2 - m + 5. Let y(v) = 2*k(v) - 18*t(v). Suppose y(j) = 0. What is j?
-1, 1, 324
Let b = -329564 - -329566. Factor -b*l - 56/3 + 2/3*l**2.
2*(l - 7)*(l + 4)/3
Let w(k) = 5*k + 5. Let c be w(6). Factor c*v**2 - 80 + 116*v - 108*v + 262*v.
5*(v + 8)*(7*v - 2)
Let f be ((-6)/27)/((-4)/6)*84. Factor 4*t - 16 - 4*t**3 + f - 2*t**4 + 0*t**3 - 10.
-2*(t - 1)*(t + 1)**3
Let o be (-39)/4992*32 - 5/(-12). Suppose -m**4 - 4/3*m**2 + o*m**5 - 5/2*m**3 + 0 + 0*m = 0. What is m?
-1, 0, 8
Let d = -870735/7 - -124391. Solve 0 - 4*h**2 - 30/7*h + d*h**3 = 0.
-1, 0, 15
Let b(a) be the first derivative of -722*a**3/3 - 10944*a**2 - 165888*a + 2258. Factor b(d).
-2*(19*d + 288)**2
Let g = -6281 + 157134/25. Let y = -167/75 + g. Determine q so that y + 2/15*q**2 + 16/15*q = 0.
-4
Let k(a) be the first derivative of a**3 + 123*a**2/2 + 120*a - 1738. Factor k(o).
3*(o + 1)*(o + 40)
Let x(q) be the second derivative of q**5/16 - 25*q**4/24 + 35*q**3/24 + 45*q**2/4 - 84*q - 2. Factor x(h).
5*(h - 9)*(h - 2)*(h + 1)/4
Suppose 881 = -12*z + 161. Let u be -9 - (9 + 1092/z). Factor 0 + u*w**2 + 1/5*w.
w*(w + 1)/5
Let c(j) be the second derivative of -j**5/30 - j**4/6 - j**3/3 - j**2/3 + 2*j + 584. Find z such that c(z) = 0.
-1
Let r = 61 - 55. Suppose -30 = -9*q + r. Determine b, given that 12*b - 8*b + 13*b**3 + 4*b**q - 2*b**3 - 3*b**5 - 16*b**2 = 0.
-2, 0, 1/3, 1, 2
Let k(y) be the second derivative of y**4/3 + 4484*y**3 + 22619538*y**2 - 4*y + 9. Find l, given that k(l) = 0.
-3363
Let f(u) be the first derivative of -665/3*u**3 - 1 + 5/2*u**6 - 175/4*u**4 + 260*u**2 + 13*u**5 + 240*u. Solve f(d) = 0 for d.
-4, -1/3, 1, 3
Let s be (-5)/5 - (3 + 2 + 3176/(-528)). Let o(i) be the second derivative of -2*i + 2/33*i**3 + s*i**4 + 1/11*i**2 + 0. Factor o(a).
2*(a + 1)**2/11
Let w(p) be the second derivative of -p**7/42 - 5*p**6/6 - 33*p**5/4 - 95*p**4/12 + 143*p**3/3 - 239*p. Suppose w(s) = 0. Calculate s.
-13, -11, -2, 0, 1
Factor -188*z**3 - 607*z**3 + 231*z**3 - 50*z**5 + 2304*z - 2*z**4 - 1248*z**2 + 6144 - 70*z**4 + 47*z**5.
-3*(z - 2)*(z + 2)*(z + 8)**3
Let c(m) be the second derivative of 2*m + 40/3*m**4 - 3 - 32/3*m**3 - 33/5*m**5 + 4/3*m**6 + 0*m**2 - 2/21*m**7. Solve c(k) = 0 for k.
0, 1, 4
Suppose 3*y = -3*y + 30. Factor -50*x**4 + 2*x**5 - x**5 + 55*x**3 - y*x**5 - x**5.
-5*x**3*(x - 1)*(x + 11)
Let k(a) be the third derivative of 2*a - 1/15*a**5 + 0 + 4/3*a**3 + 24*a**2 - 1/6*a**4. Factor k(z).
-4*(z - 1)*(z + 2)
Let h(p) be the third derivative of p**6/600 + 13*p**5/15 + 2176*p**4/15 + 32768*p**3/15 - 1645*p**2. Factor h(s).
(s + 4)*(s + 128)**2/5
Let q(a) be the first derivative of a**4 + 532*a**3/3 - 538*a**2 + 540*a + 1149. Let q(i) = 0. What is i?
-135, 1
Let q(i) = -4*i**5 + 296*i**4 - 260*i**3 - 16. Suppose 0 = t - 37*t + 576. Let y(v) = v**5 - 59*v**4 + 52*v**3 + 3. Let s(d) = t*y(d) + 3*q(d). Factor s(r).
4*r**3*(r - 13)*(r - 1)
Let z(d) be the first derivative of -d**4/10 - 56*d**3/15 - 77*d**2/5 - 20*d - 1662. Factor z(j).
-2*(j + 1)*(j + 2)*(j + 25)/5
Let z = -826 + 1000. Suppose z - 54 = 40*i. Factor 128/3*b - 128/3*b**2 + 1/6*b**5 - 8/3*b**4 + 16*b**i + 0.
b*(b - 4)**4/6
Let t(g) be the first derivative of 4*g**6/3 - 4*g**5 - 45*g**4 + 580*g**3/3 - 74*g**2 - 240*g - 5492. Let t(d) = 0. Calculate d.
-5, -1/2, 1, 3, 4
Let y(w) = 8*w**4 - 12*w**3 - 40*w**2 - 24*w. Let v be (-5)/15 + (-26)/(-6). Let m(o) = o**4 + o**3 + o**2. Let q(j) = v*m(j) - y(j). Factor q(n).
-4*n*(n - 6)*(n + 1)**2
Let k(m) be the first derivative of -48/5*m + 57/5*m**2 + 50 + 9/20*m**4 + 29/5*m**3. Factor k(q).
3*(q + 2)*(q + 8)*(3*q - 1)/5
Let a(g) = -36*g**3 + 116*g**2 - 1712*g. Let r(i) = 17*i**3 - 54*i**2 + 799*i. Let j(h) = -15*a(h) - 32*r(h). Factor j(u).
-4*u*(u - 4)*(u + 7)
Solve -92450/3 - 2/3*y**2 + 860/3*y = 0 for y.
215
Let m(r) be the first derivative of -1/25*r**5 + 31 - 4/5*r + 1/10*r**4 - 2/5*r**2 + 1/5*r**3. Let m(a) = 0. Calculate a.
-1, 2
Suppose 2/9*z**4 + 424/9*z + 208/9 + 62/9*z**3 + 92/3*z**2 = 0. Calculate z.
-26, -2, -1
Let s(y) = -7*y + 23. Let d(j) = -10*j + 34. Let z(l) = 5*d(l) - 7*s(l). Let q be z(6). Factor 6*m + 2 - 7 - 4 + q*m**2.
3*(m - 1)*(m + 3)
Let x be 345/(-72) - 8/(-32)*20. Let n(w) be the third derivative of 5/2*w**3 + 0 + 0*w + 4*w**2 - 7/12*w**5 - x*w**6 + 5/24*w**4. Factor n(j).
-5*(j + 1)**2*(5*j - 3)
Suppose 225 = 67*z - 177. Let m(n) be the second derivative of 0*n**2 + 3/35*n**5 + 0 - z*n - 3/14*n**4 + 4/21*n**3 - 1/105*n**6. Factor m(g).
-2*g*(g - 4)*(g - 1)**2/7
Let c be (-9)/(-15) - 22/(-5). Suppose -5*o + 23 = a, -4*o + c*o = 3*a - 5. Factor -3*m + 2*m**2 - 4*m**3 + 4*m**4 + 0*m**2 + 2*m + 11*m**a.
m*(m + 1)**2*(4*m - 1)
Suppose 4*a - 12 = 5*u, -u - 3*a + 10 = 1. Let d(v) = v + 25. Let s be d(-20). Determine j so that 0*j + u*j**4 + 2/3*j**3 - 2/3*j**s + 0 + 0*j**2 = 0.
-1, 0, 1
Suppose -3*b - 8 = v, -5*v = -7*v - 2*b. Factor -v*k**4 - 4 + 3*k**4 - 15*k**3 - 11*k**3 + 26*k - 23 + 0*k**3 + 28*k**2.
-(k - 1)**2*(k + 1)*(k + 27)
Let w(d) be the third derivative of d**5/510 + 13*d**4/68 + 308*d**3/51 + 134*d**2 - 1. What is v in w(v) = 0?
-28, -11
Let i be (95/(-190))/((-6)/52) + (6 - 9). Let 50/3*y - i + 4/3*y**2 - 50/3*y**3 = 0. What is y?
-1, 2/25, 1
Let v(l) = -3*l**4 + 64*l**3 - 46*l**2 - 5*l. Let i(d) = 2*d**4 - 62*d**3 + 48*d**2 + 4*d. Let z(u) = -5*i(u) - 4*v(u). Determine x, given that z(x) = 0.
-28, 0, 1
Suppose 17*f - 2894 = -20*f - 2894. Factor 24/5*j**3 + 0 + 4*j**2 + 4/5*j**4 + f*j.
4*j**2*(j + 1)*(j + 5)/5
Factor 0 - 300/11*p - 2/11*p**3 - 14*p**2.
-2*p*(p + 2)*(p + 75)/11
Let i = 223/15 - 61/5. Suppose 0 = 404*f + 129 - 937. Suppose i*g - f - 2/3*g**2 = 0. Calculate g.
1, 3
Let x = 87 - 89. Let v(w) = w**2 + 4*w + 6. Let g be v(x). Factor -351*o**3 + 8*o**4 + 345*o**3 + 12*o**2 - 38*o**2 + 2*o**5 - 10*o**g.
2*o**2*(o - 2)*(o + 3)**2
Let o = 2742 - 2739. Let q(p) be the first derivative of 21 - 1/7*p**o - 18/7*p - 15/14*p**2. Find k such that q(k) = 0.
-3, -2
Suppose -n - 3*n = -4, 4*j + 3*n = 19. Determine c so that -1339 + 128*c**3 + 910*c - 660*c**2 - 28*c**3 - 5*c**j + 690*c + 59 = 0.
2, 8
Let i(n) be the third derivative of -1/3*n**4 - 1/30*n**5 + 3*n**2 - 5*n + 0 + 5/3*n**3. Factor i(r).
-2*(r - 1)*(r + 5)
Let q(t) be the third derivative of t**6/120 + 319*t**5/60 + 8533*t**4/8 + 8427*t**3/2 - 342*t**2 + 6*t - 1. Factor q(y).
(y + 1)*(y + 159)**2
Let b(o) = -41*o**2 + 52*o + 135. Let p(g) = -7*g**2 - 2. Let j(d) = -b(d) + 6*p(d). Let j(w) = 0. Calculate w.
-49, -3
Let w be (3 + 3)*(-14872)/(-792). Factor 26/3*j - 1/6*j**2 - w.
-(j - 26)**2/6
Let r be (2/108)/(157/(-52) + 3). Let s = r + 185/108. Factor -3/8*n**3 - 9/8*n**2 + 3/8*n**4 - s + 15/8*n.
3*(n - 1)**3*(n + 2)/8
Let q be (-18)/108 + 19/6. Suppose 0 = q*u + 4*u - 28. What is g in -17*g**u + 19*g**4 + 2*g**5 - 4*g**5 = 0?
0, 1
Let a(s) be the second derivative of s**6/135 - 4*s**5/45 - 7*s**4/54 + 62*s**3/27 - 16*s**2/3 + 3723*s. Determine h so that a(h) = 0.
-3, 1, 2, 8
Let p(i) be the first derivative of -5*i**3 + 54 - 9/4*i**2 - 9/5*i**5 + 0*i - 1/4*i**6 - 9/2*i**4. Factor p(b).
-3*b*(b + 1)**3*(b + 3)/2
Let i(m) be the third derivative of m**6/300 + 3*m**5/25 + 8*m**4/5 + 32*m**3/3 + 78*m**2. Factor i(y).
2*(y + 4)**2*(y + 10)/5
Suppose 1444 - 2088 = -726*b + 1534. Let 6 + 3/2*w - b*w**3 + 6*w**4 + 3/2*w**5 - 12*w**2 = 0. Calculate w.
-4, -1, 1
Factor 343/6*s + 1/6*s**3 + 0 - 172/3*s**2.
s*(s - 343)*(s - 1)/6
Let f(d) be the second derivative of d**5/45 + 11*d**4/36 - 13*d**3/9 - 51*d**2 - 5*d - 2. Let a(q) be the first derivative of f(q). Factor a(t).
2*(t - 1)*(2*t + 13)/3
Let u(y) = -8*y**3 - y**2 + 3*y + 1. Let i be u(-2). Suppose 96 = -7*v + 19*v. Solve 5 - i*l**2 - v*l**3 - 22*l**3 - 16*l - 4*l = 0.
-1, 1/6
Find z, given that 2253*z**2 + 10404 - 219/2*z**3 - 9282*z + 3/2*z**4 = 0.
2, 3, 34
Let i = 46877846/175 - 267871. Let z = i - -4/175. Factor 2/7*q + 8/7*q**3 + 0 - z*q**2.
q*(q - 2)*(8*q - 1)/7
Suppose 4*n - 4*h = 15848, 20*n - 15*n - 19806 = 4*h. Let m = n + -7641/2. Factor -840*q - 45/4*q**4 - 160 - m*q**3 - 570*q**2.
-5*(q + 4)**3*(9*q + 2)/4
Let q(g) be the first derivative of -25*g**6/3 + 74*g**5 + 1371*g**4/8 +