**2.
5*(c - 39)*(25*c - 1)
Let o = -36437/6 + 6073. Let y(a) be the second derivative of a**2 + 0 - o*a**3 - 1/12*a**4 + a. Factor y(s).
-(s - 1)*(s + 2)
Solve 1104500 + 168*n**3 - 418300*n - 9*n**4 + 14*n**4 + 34905*n**2 + 294*n**3 + 428*n**3 = 0.
-94, 5
Suppose -12*u - 10 = -7*u. Let z(q) = q**2. Let h(r) be the first derivative of -16*r**3/3 + 3*r**2 - r - 19. Let g(s) = u*h(s) - 22*z(s). Factor g(d).
2*(d - 1)*(5*d - 1)
Let d(v) be the second derivative of -1/3*v**4 - 1/135*v**6 + 34*v + 4/27*v**3 - 4 - 1/10*v**5 + 8/3*v**2. Determine y, given that d(y) = 0.
-6, -2, 1
Let d(y) = y**3 - 11*y**2 + 10*y + 1. Let b be d(10). Suppose 9 = 5*j - b. Factor l**4 + 35*l**3 - 41*l**3 + j*l**4.
3*l**3*(l - 2)
Let q(m) = -11*m - 198. Let s(u) = 2*u - 56. Let i be s(19). Let o be q(i). Factor 1/5*x**3 + o - 1/5*x + 0*x**2.
x*(x - 1)*(x + 1)/5
Let j(n) be the first derivative of -11*n**3 - 102*n**2 - 36*n + 2938. Determine i so that j(i) = 0.
-6, -2/11
Let t(q) be the first derivative of -40*q**6/3 + 240*q**5 - 5755*q**4/4 + 2855*q**3 + 180*q**2 - 540*q - 457. Suppose t(l) = 0. Calculate l.
-1/4, 1/4, 3, 6
Let t = -552 + 554. Suppose -100*y + 4 + 4*y**t + 36 + 56 = 0. What is y?
1, 24
Let g(k) be the second derivative of 0*k**2 - 20/3*k**3 - 9*k - 15/4*k**4 + 0 - 1/4*k**5. Factor g(u).
-5*u*(u + 1)*(u + 8)
Let c = -39 - -42. Suppose -c*m = -2 - 4. Determine h so that -31*h**m + 5*h**4 + 64*h**2 - 20*h + 3*h**3 + 4 - 25*h**3 = 0.
2/5, 1, 2
Determine x so that -92*x**3 - 743 + 71 - 8*x**4 - 736*x**2 + 2888*x - 162*x**3 = 0.
-28, -6, 1/4, 2
Find w, given that -2*w**2 + 6*w**2 - 812*w - 247*w - 137*w = 0.
0, 299
Let l(x) be the third derivative of 25/6*x**3 + 0*x**5 + 1/120*x**6 - 1/2*x**4 + 0*x + 3*x**2 + 0. Let g(o) be the first derivative of l(o). Factor g(u).
3*(u - 2)*(u + 2)
Suppose 230*t + 0*t**3 + 82 - 74 - 8 + 2*t**3 - 56*t**2 = 0. Calculate t.
0, 5, 23
What is j in -2352 + 417*j**2 + 224*j + 1/2*j**4 + 57/2*j**3 = 0?
-28, -3, 2
Let 45/7*w**3 + 3/7*w**5 + 0 + 0*w - 27/7*w**4 - 3*w**2 = 0. What is w?
0, 1, 7
Let v(j) be the second derivative of -j**6/270 + 179*j**5/180 - 59*j**4/18 + 1562*j. Factor v(b).
-b**2*(b - 177)*(b - 2)/9
Let c(d) be the third derivative of d**7/175 + 149*d**6/200 - 57*d**5/25 + d**4/40 + 38*d**3/5 + 19*d**2 - 6*d - 3. Determine m, given that c(m) = 0.
-76, -1/2, 1
Let o be 1569468/(-2 - 4)*2/(-4). Factor -130789*n + o*n - n**2.
-n**2
Let q(s) be the first derivative of 7*s**4/6 + 2722*s**3/9 + 66445*s**2/3 + 18818*s + 6006. Factor q(b).
2*(b + 97)**2*(7*b + 3)/3
Let j be (-1)/(-2)*(-19 - -19) - -82. Factor -8*c**2 + 8*c**3 - 30*c**2 - j*c + c**3 - 42 - 4*c**3 - 3*c**3.
2*(c - 21)*(c + 1)**2
Let k(x) be the second derivative of -2*x + 25 - 1/48*x**4 - 5/4*x**3 - 225/8*x**2. Let k(h) = 0. Calculate h.
-15
Factor 6834375*p - 880*p**2 + 5323*p**2 + 5*p**3 + 4265*p**2 + 4712*p**2 - 3295*p**2 + 1537734375.
5*(p + 675)**3
Suppose 1/7*r**3 + 96/7 - 92/7*r + 20/7*r**2 = 0. What is r?
-24, 2
Let y(n) be the first derivative of 19 + 1/3*n**2 - 4/3*n - 1/6*n**4 + 4/9*n**3. Factor y(r).
-2*(r - 2)*(r - 1)*(r + 1)/3
Let o be (152/(-95))/(342/(-95)). Find j, given that -8/9*j - 14/9*j**2 + 0 + 2/9*j**4 - o*j**3 = 0.
-1, 0, 4
Let a(o) be the first derivative of -5*o**4/4 - 50*o**3 - 280. Factor a(v).
-5*v**2*(v + 30)
Let z(u) be the second derivative of u**6/120 + u**5/8 + 9*u**3/2 - u**2/2 + 23*u - 1. Let b(p) be the second derivative of z(p). Factor b(i).
3*i*(i + 5)
Let a = 1595032 - 1595030. Factor -4/3*z**3 - 20/3*z**a + 0 + 8*z.
-4*z*(z - 1)*(z + 6)/3
Suppose 2282*f = 2288*f - 1584. Suppose 0 = 254*n - f*n. Factor 1/2*b + 1/4*b**4 + n + 0*b**3 - 3/4*b**2.
b*(b - 1)**2*(b + 2)/4
Let b be (27/36)/(-1 + 6/12) - -2. Find h, given that -b*h - 1/6*h**2 + 2/3 = 0.
-4, 1
Suppose 75 = -3*d - 5*g, 4*d - 2*g = -47 - 27. Let j be (8/d)/(52/(-65)). Factor j*a**2 + 0*a - 1/2.
(a - 1)*(a + 1)/2
Let a = 493 + -466. Let c be (-3 + 63/a)*(-1 + -1). Let 0*w**2 - 1/3*w**4 - c*w + 0 + w**3 = 0. Calculate w.
-1, 0, 2
Let a(u) be the third derivative of -u**7/175 + 97*u**6/150 - 1199*u**5/150 + 38*u**4 - 348*u**3/5 + 8*u**2 + 6*u + 11. What is x in a(x) = 0?
2/3, 3, 58
Let j(y) be the third derivative of -y**5/480 - 11*y**4/32 + 35*y**3/6 - 3*y**2 + 2*y. Factor j(k).
-(k - 4)*(k + 70)/8
Let x(u) = u**4 - u**3 - 7*u**2 - 15*u - 2. Let j(o) = -5*o**4 - 26*o + 6*o**4 - 3 + 12*o - 6*o**2. Let i(z) = -4*j(z) + 3*x(z). Factor i(p).
-(p - 2)*(p + 1)**2*(p + 3)
Let p(f) be the second derivative of -7*f**5/50 + 1574*f**4/15 + 4057*f**3/15 + 902*f**2/5 - 893*f. Determine m, given that p(m) = 0.
-1, -2/7, 451
Let x(r) be the second derivative of -59*r + 4/15*r**4 + 0 + 1/25*r**5 + 0*r**2 + 2/5*r**3. Find m, given that x(m) = 0.
-3, -1, 0
Let s = -84 + 86. Factor 11*d**2 - 17*d**2 + 8*d**s + 66*d.
2*d*(d + 33)
Suppose 30*v + 912 = 5*w + 26*v, 0 = -3*w - 2*v + 534. Let g be 6 + (-15)/(w/64). Factor 1/3 + g*o**2 - 1/6*o**3 - 5/6*o.
-(o - 2)*(o - 1)**2/6
Let l(w) be the second derivative of 2*w**7/21 - 4*w**6/3 + 29*w**5/5 - 32*w**4/3 + 8*w**3 - 12*w + 25. Factor l(k).
4*k*(k - 6)*(k - 2)*(k - 1)**2
Let g(w) = w**3 + 3*w**2 - 121*w - 152. Let z be g(-12). Let b(r) be the second derivative of 0*r**2 + 7/54*r**z + 1/9*r**3 - 18*r + 0. Factor b(u).
2*u*(7*u + 3)/9
Solve 38*f**2 + 0*f**5 + 4*f**5 + f**5 - 15*f**4 - 180 - 45*f**3 + 117*f**2 = 0 for f.
-3, -1, 2, 3
Let j(y) be the second derivative of 14*y + 0*y**3 - 1 + 0*y**2 + 2/5*y**6 - 3/20*y**5 - 3/2*y**4 - 1/14*y**7. Let j(k) = 0. Calculate k.
-1, 0, 2, 3
Suppose 0 = -2*t - 4*p + 12, 482*p - 479*p - 11 = -2*t. Solve -72/7*i**3 + 16/7*i**t + 27/7*i + 4/7 + 25/7*i**2 = 0.
-1/4, 1, 4
Let b(c) be the first derivative of 0*c**2 - 75/4*c**3 + 15/8*c**4 + 0*c - 1/20*c**5 + 23. Factor b(n).
-n**2*(n - 15)**2/4
Let j be 63/(-9) + 4 - (0 + -5). Suppose j*l - 8 = -2*k, k = 5*l - l - 16. Solve k*g + 0 + 2/3*g**3 + 2/3*g**2 = 0.
-1, 0
Let v(b) = b**3 - 11*b**2 + 7*b + 20. Let q be v(10). Let y be 44 - 1 - q/(-25)*-5. Factor y - 10*o**3 + 22*o + 35*o**2 + 15*o**3 + 53*o.
5*(o + 1)*(o + 3)**2
Let z(g) be the first derivative of -5*g**4/4 + 50*g**3 + 5*g**2/2 - 150*g + 932. Factor z(k).
-5*(k - 30)*(k - 1)*(k + 1)
Let i(v) = 2*v**2 + 1. Let w = -348 - -349. Let u(f) = -50*f**2 + 130*f - 16. Let t(h) = w*u(h) + 4*i(h). Find a, given that t(a) = 0.
2/21, 3
Suppose 1/8*u**2 + 3417/8*u + 0 = 0. What is u?
-3417, 0
Let x(m) = -m**2 + 9*m - 6. Let r be x(3). Suppose r*a = 6*a + 54. Factor 18*l**3 - a*l**2 + 12*l + 36*l**2 + 26*l**4 - 23*l**4.
3*l*(l + 1)**2*(l + 4)
Let g(r) = -45*r + 147. Let s(v) be the second derivative of 147*v**2 - 11*v + 1/12*v**4 - 89/6*v**3 + 0. Let j(l) = 5*g(l) - 3*s(l). Factor j(a).
-3*(a - 7)**2
Solve 775*l**3 - 2436*l**2 - 2255*l**3 - 1264*l + 52*l**4 - 152*l**4 - 1739 + 1531 = 0.
-13, -1, -2/5
Let r(f) be the third derivative of -f**6/24 + 11*f**5/6 - 295*f**4/24 + 95*f**3/3 - 10295*f**2. Find l, given that r(l) = 0.
1, 2, 19
Let d(w) be the first derivative of 1/12*w**3 + 81/4*w + 9/4*w**2 + 13. Find b, given that d(b) = 0.
-9
Let s(l) be the third derivative of 0 - 23*l + 32/3*l**3 + 1/30*l**5 + 11/4*l**4 + l**2. Determine x so that s(x) = 0.
-32, -1
Let c(u) be the third derivative of -49*u**6/200 + 532*u**5/25 + 307*u**4/10 + 88*u**3/5 - 123*u**2. Factor c(i).
-3*(i - 44)*(7*i + 2)**2/5
Let q = -233 + 237. Suppose p + 5*j + 9 = 1, 24 = p - 3*j. What is s in -p*s**2 - 4*s**5 - s**5 - 5*s - 5 + 10*s**3 - 5*s**q + 15*s**2 + 7*s**2 = 0?
-1, 1
Let x(j) = 2*j**3 - 297*j**2 - 6*j. Let i(p) = p**3 - 274*p**2 - 4*p. Let z(n) = -3*i(n) + 2*x(n). Determine k, given that z(k) = 0.
-228, 0
Suppose 46 = 5*o + 3*m, 5*o = 2*m - m + 38. Let q be (18/(-20))/(o/20 + -1). Find g such that 1/2 + q*g**2 - 9/2*g**3 + 5/2*g = 0.
-1/3, 1
Let g(z) = 3*z**2 - 9*z - 12. Let j be g(5). Let v be (48/21)/(j/105*5). Factor -4/3*o**2 - 4/3*o + v.
-4*(o - 1)*(o + 2)/3
Let k = -1098/617 - -11116/5553. Suppose 16/3*u**4 + 164/3*u**2 + 242/9*u**3 + 440/9*u + 16 + k*u**5 = 0. Calculate u.
-18, -2, -1
Factor -2/9*m**2 - 92/9*m + 94/9.
-2*(m - 1)*(m + 47)/9
Suppose 2*m = 5*f, 3*m = -f - 8 + 25. Let u be (-12)/14*(-7)/f. Factor 0*j**3 - 411*j + 6*j**2 + 415*j + 2*j**u.
2*j*(j + 1)*(j + 2)
Let y be 442/(-85)*6/(36/(-10)). Let g(l) be the second 