*3. Factor r(b).
2*(b - 1)*(b + 6)/9
Let v(s) be the first derivative of -s**5/50 + s**4/30 + s**3/3 + 3*s**2/5 + 9*s - 2. Let h(g) be the first derivative of v(g). Factor h(y).
-2*(y - 3)*(y + 1)**2/5
Let g = -1376 - -1376. Let m(r) be the first derivative of 0*r + g*r**2 + 9 - 2/25*r**5 + 1/5*r**4 + 0*r**3. Solve m(w) = 0 for w.
0, 2
Let x(r) be the first derivative of 5/4*r**4 - 10 + 0*r**3 - 5/2*r**2 + 0*r. Factor x(g).
5*g*(g - 1)*(g + 1)
Let l(x) be the third derivative of 0 - 4*x**3 + 0*x - 14*x**2 + 13/6*x**4 + 1/3*x**5. Determine k, given that l(k) = 0.
-3, 2/5
Let j(s) be the second derivative of -11/3*s**4 + 37/6*s**3 + 32*s - 7/20*s**5 + 0 + 7*s**2. Factor j(f).
-(f - 1)*(f + 7)*(7*f + 2)
Let z(q) be the third derivative of q**7/420 + 13*q**6/240 + q**5/4 - q**4/12 - 10*q**3/3 - 464*q**2. Suppose z(y) = 0. Calculate y.
-10, -2, 1
Let j(c) be the second derivative of c**9/128520 + c**8/28560 + c**7/21420 - 5*c**4/12 + 8*c. Let l(t) be the third derivative of j(t). Factor l(f).
2*f**2*(f + 1)**2/17
Factor 5/4 - 25/4*r - 15/2*r**2.
-5*(r + 1)*(6*r - 1)/4
Let k be (40/(-210))/(71/7 + 1). Let u = k + 244/585. Factor 2/5*d**4 + 0 - u*d**2 + 0*d + 0*d**3.
2*d**2*(d - 1)*(d + 1)/5
Suppose 10 = -z + 9. Let j be -3 + 4 + (3 - z). Factor 19*v + j*v**4 - 5*v**2 - 19*v.
5*v**2*(v - 1)*(v + 1)
Suppose -8*f + 9*f + 4 = 0, 2*y - 12 = 2*f. Determine l, given that 2/3*l**y - 8/9*l**4 + 2/9 + 8/9*l**3 - 8/9*l = 0.
-1, 1/2, 1
Let m(t) = -34*t**2 - 44*t - 6. Let z(o) = -65*o**2 - 88*o - 13. Let q(s) = -5*m(s) + 2*z(s). Factor q(y).
4*(y + 1)*(10*y + 1)
Let i be (1 + 0)/(22 - (-2662)/(-132)). Solve 2/11*f**2 + i*f + 4/11 = 0.
-2, -1
Let p(d) = -d**3 + 3*d**2 - 3*d + 5. Let k be p(2). Let g(m) be the first derivative of 0*m + k*m**2 + 2/3*m**3 + 5. Let g(o) = 0. What is o?
-3, 0
Let h(o) = 13*o + 122. Let u be h(-9). Find t such that 1/4*t**3 + 0*t - 1/2*t**4 + 0*t**2 + 0 + 1/4*t**u = 0.
0, 1
Suppose -4*c = -a + 20, 16 = -2*a - 2*a. Let q be (3/c)/(0 + -1). Factor q*d**2 + 1/2*d**4 - 1 + 3/2*d - 3/2*d**3.
(d - 2)*(d - 1)**2*(d + 1)/2
Let l = 35/204 - -4/51. Let b = -51/4 - -13. Find n, given that -l - 3/2*n**2 - b*n**4 - n - n**3 = 0.
-1
Let w = -16 + 33. Let m = w - 15. Factor -86 - 2*k**m + 86.
-2*k**2
Let k(i) be the second derivative of 12*i + 0 - 1/7*i**3 + 0*i**2 - 5/28*i**4 + 3/20*i**5. Factor k(c).
3*c*(c - 1)*(7*c + 2)/7
Factor 0 - 10/17*u**4 + 2/17*u**5 + 18/17*u**3 - 14/17*u**2 + 4/17*u.
2*u*(u - 2)*(u - 1)**3/17
Suppose -2*u = -4*w - 12, u - 9 = 5*w - 3. Suppose 6*j + u = 9*j. Factor -38*q**2 + 2*q**4 - q**5 + 38*q**j - q**3 + 0*q**3.
-q**3*(q - 1)**2
Let b be 16/40*5 + (-126)/64. Let t(g) be the third derivative of 3/160*g**6 + b*g**4 + 0*g + 3/80*g**5 + 1/280*g**7 + 0*g**3 + 0 + 3*g**2. Factor t(k).
3*k*(k + 1)**3/4
Let f(l) = 5*l**3 - 16*l**2 + 7*l + 16. Let g(s) = -s**3 - s. Let d(c) = f(c) + 6*g(c). Factor d(z).
-(z - 1)*(z + 1)*(z + 16)
Let a = -353 - -1413/4. Find j such that 1/2 - a*j - 1/4*j**2 = 0.
-2, 1
Let m(d) be the second derivative of -d**6/30 - 9*d**5/20 + d**4/12 + 3*d**3/2 - 17*d + 7. Factor m(i).
-i*(i - 1)*(i + 1)*(i + 9)
What is a in -2*a - 122*a**4 - 14944*a**2 - 7*a + 3*a - 369*a**3 - 117*a**5 - 235*a**4 + 14809*a**2 = 0?
-1, -2/39, 0
Let l(g) be the first derivative of g**6/3 - 6*g**5/5 - g**4/2 + 22*g**3/3 - 12*g**2 + 8*g - 68. Let l(m) = 0. What is m?
-2, 1, 2
Let n = 261 - 261. Let p(c) be the third derivative of -1/30*c**5 + 0 - 1/120*c**6 + 0*c + n*c**4 + 0*c**3 - 3*c**2. Factor p(q).
-q**2*(q + 2)
Find x, given that -11/2*x**2 + 1/6*x**3 - 1/2*x**5 + 13/6*x**4 + 0 - 3*x = 0.
-1, -2/3, 0, 3
Let w(i) be the third derivative of i**7/315 - i**6/18 + 16*i**5/45 - 8*i**4/9 + 2*i**2 + 16. Let w(f) = 0. Calculate f.
0, 2, 4
Let r(p) = -4*p**3 - 94*p**2 + 48*p. Let g be r(-24). Suppose 5*u - 3 = -3*l + 32, -4*l + 40 = 5*u. Factor -3/5*i**u + 9/5*i**5 + 0 + 0*i**2 + g*i - 6/5*i**3.
3*i**3*(i - 1)*(3*i + 2)/5
Find t, given that 62/17 + 2/17*t**2 - 64/17*t = 0.
1, 31
Let b = 1/8 - -5/24. Let y = 367 + -367. Determine o so that 1/3*o**3 + 0*o + b*o**2 + y = 0.
-1, 0
Let d = -8490 + 8492. Let 9/7*s - 6/7 + 0*s**d - 3/7*s**3 = 0. Calculate s.
-2, 1
Let p = 35 - 50. Let h be (-6)/p - (-18)/5. Factor -2*d**2 - 8/3 + 1/3*d**3 + h*d.
(d - 2)**3/3
Suppose 4 + 11 = 5*b. Factor -6*g**2 + g**3 + 4*g**2 - b*g**3.
-2*g**2*(g + 1)
Let m(j) = j**3 - 4*j**2 - 9*j - 4. Let w be m(7). Let s be (0 - w/(-75)) + 2/(-5). What is g in -2/3 - 2*g + 4/3*g**3 + 2*g**4 + s*g**5 - 4/3*g**2 = 0?
-1, 1
Factor 4/3*q**2 - 100/3*q + 32.
4*(q - 24)*(q - 1)/3
Let r(f) = -3*f**4 - 11*f**3 + 7*f**2 + 3*f + 4. Let g(q) = -q**3 - q**2 + q + 1. Let v(a) = 35*g(a) - 5*r(a). Determine h so that v(h) = 0.
-3, -1/3, 1
Let u(k) be the first derivative of -k**3/18 - 37*k**2/12 + 19*k/3 - 151. Factor u(o).
-(o - 1)*(o + 38)/6
Let d be (-99)/(-21) - 3*(11 + (-204)/18). Factor -18/7*j**4 - 128/7*j**2 - 114/7*j**3 + 0 - d*j.
-2*j*(j + 5)*(3*j + 2)**2/7
Let p(v) = v**3. Let a(i) = -2*i**2 + 4*i - 2. Let r(z) = -z**3 - 7*z**2 + 12*z - 7. Let s(f) = -7*a(f) + 2*r(f). Let w(g) = -3*p(g) - s(g). Factor w(n).
-n*(n - 2)*(n + 2)
Let z(a) = -3*a**4 - 3*a**3 + 9*a**2 + 9. Let x(m) = -m**4 - m**3 + 2*m**2 + 2. Let j(k) = 9*x(k) - 2*z(k). Factor j(r).
-3*r**3*(r + 1)
Let y(s) = 4*s**4 + 222*s**3 + 8436*s**2 + 109522*s + 101304. Let r(w) = w**4 - w**3 + w - 1. Let u(z) = -2*r(z) + y(z). Solve u(p) = 0.
-37, -1
Let b(h) be the third derivative of -h**5/100 + 17*h**4/40 - 2*h**2 + 64. Factor b(y).
-3*y*(y - 17)/5
Let w(o) be the first derivative of o**5/300 + 11*o**4/60 + 121*o**3/30 + 21*o**2/2 + 33. Let s(z) be the second derivative of w(z). Factor s(a).
(a + 11)**2/5
Let y = 13595 - 40778/3. Determine f, given that -8/3 - y*f + 1/3*f**2 = 0.
-1, 8
Let q(s) be the first derivative of -s**6/420 + s**5/70 - s**4/42 + s**2/2 - 20*s - 47. Let w(l) be the second derivative of q(l). Factor w(k).
-2*k*(k - 2)*(k - 1)/7
Suppose -75 = -11*n - 20. Let o(a) be the first derivative of -1/9*a**3 - n - 2/3*a + 1/2*a**2. Solve o(p) = 0.
1, 2
Let v be ((-6)/10)/(1/(-5)). Let h be (36/54)/(1/(v/8)). Factor 0 - 1/4*g**3 + 1/4*g + 1/4*g**4 - h*g**2.
g*(g - 1)**2*(g + 1)/4
Factor 6 + 31/5*u + 1/5*u**2.
(u + 1)*(u + 30)/5
Let q be (-9 - -9)*(-6)/12. Factor q - 16/7*y**2 - 120/7*y**3 - 36*y**4 - 14*y**5 + 0*y.
-2*y**2*(y + 2)*(7*y + 2)**2/7
Find v, given that -2*v + 47*v**3 - 106*v**3 + 56*v**3 - 5*v**2 + 0*v = 0.
-1, -2/3, 0
Let f be (-15)/(-4) + (-2)/(-8). Let q be (1 - 6/(-2))*14*5/85. Solve 16/17 - q*x - 210/17*x**f - 76/17*x**2 + 326/17*x**3 = 0.
-2/5, 2/7, 2/3, 1
Let i(w) = -w**3 - 18*w**2 - 63*w + 28. Let u be i(-13). What is s in 2/7 + 3/7*s**u - 1/7*s**4 - 5/7*s + 1/7*s**3 = 0?
-2, 1
Let u(h) be the second derivative of -h**4/84 + 3*h**3/2 + 28*h + 2. Factor u(o).
-o*(o - 63)/7
Let a be (-6)/(-9) - 63/(-27). Let -278*i**4 - 72*i**2 + 33*i**a - 255*i**3 - 56*i**5 - 64*i**5 - 8*i = 0. What is i?
-1, -2/3, -2/5, -1/4, 0
Determine c so that -15/2*c**4 + 0 + 3/2*c**5 - 6*c**2 + 12*c**3 + 0*c = 0.
0, 1, 2
Let j(x) be the third derivative of -7/15*x**5 - 6*x**3 + 1/30*x**6 + 5/2*x**4 + 0*x - 6*x**2 + 0. Factor j(b).
4*(b - 3)**2*(b - 1)
What is t in 1101*t**2 - 3*t**3 + 21*t - 1110*t**2 + 9 - 18*t = 0?
-3, -1, 1
Let m(k) be the first derivative of 0*k - 3*k**2 - k**3 + 4 + 2*k - 3*k - 2*k. Suppose m(l) = 0. Calculate l.
-1
Let s(p) be the first derivative of 5*p**3 + 6*p**2 - 3/5*p**5 - 12*p + 1/2*p**6 + 34 - 15/4*p**4. Determine v so that s(v) = 0.
-2, -1, 1, 2
Suppose 1114 = -36*n - 9*n + 1204. Factor -12/5*v - 36/5 - 1/5*v**n.
-(v + 6)**2/5
Let d(a) be the second derivative of -2*a**6/75 + 71*a**5/50 - 7*a**4/6 - 163*a + 2. Factor d(j).
-2*j**2*(j - 35)*(2*j - 1)/5
Determine r so that 3 + 42*r + 3 + r**2 - 49*r = 0.
1, 6
Let a = -2487/4 + 622. Let q(c) be the first derivative of 1/20*c**5 + 1/2*c**2 + a*c**4 + 1/4*c + 1/2*c**3 + 6. Suppose q(z) = 0. Calculate z.
-1
Suppose -3*s = -4*m + 31, 2*s + 5 = -5*m + 15. Solve 0*u + 5*u**2 - m*u - 8*u - 3*u = 0.
0, 3
Let x be ((-3)/21)/(4/(-14))*28. Solve 12*k**2 + 4*k**3 - 12 - x*k - 7*k + 17*k = 0.
-3, -1, 1
Let 49/3 - 47/6*k - 1/6*k**2 = 0. What is k?
-49, 2
Let f = -38879/60 - -648. Let o(v) be the third derivative of 0*v**3 + 3*v**2 + 1/15*v**5 - 1/12