 + 140*k - 320. Let l(c) = -7*c**3 + 79*c**2 + 70*c - 160. Let w(n) = 13*l(n) - 6*u(n). Factor w(y).
5*(y - 1)*(y + 2)*(y + 16)
Suppose 4/7*g**2 - 64/7 + 24/7*g = 0. What is g?
-8, 2
Let h be ((-10)/(-4) - 0 - 1)/(63/84). Factor 16/9*a**3 + 2/9*a**4 + 50/9 - 80/9*a + 4/3*a**h.
2*(a - 1)**2*(a + 5)**2/9
Let v(s) = 2*s**2 - s - 1. Let q(x) = 13*x**2 - 9*x - 8. Let m(h) = -4*q(h) + 28*v(h). Determine i so that m(i) = 0.
-1
Let f = -19 + 21. Let z = 2 - f. Factor -3/4*h**4 - 3/4*h**2 + 3/2*h**3 + z + 0*h.
-3*h**2*(h - 1)**2/4
Let b(p) = -9*p**3 - 7*p**2 + 5*p - 5. Let f(u) = 2*u**3 + u + 1. Let h(c) = -2*b(c) - 10*f(c). Factor h(o).
-2*o*(o - 5)*(o - 2)
Let u be ((-17)/5 - -4)/((-2)/38). Let q = 61/5 + u. Solve q*d**2 + 8/5*d + 4/5 = 0.
-1
Let i(t) = -201*t + 7440. Let c be i(37). Factor 3/2*g**2 + g + 1/2*g**c + 0.
g*(g + 1)*(g + 2)/2
Let a(t) = -2 - t**5 - 5*t**5 + 1 + 5*t**5. Let g(u) = -6*u**5 - 3*u**3 - 2*u**2 - 7. Let z(o) = -35*a(o) + 5*g(o). Factor z(v).
5*v**2*(v - 2)*(v + 1)**2
Determine h so that 0 - 171/2*h**3 + 3/2*h**2 + 3*h - 3/2*h**4 + 165/2*h**5 = 0.
-1, -2/11, 0, 1/5, 1
Let g(j) = -3*j**2 + j + 2. Let k be (-7)/(14/8) - -5. Let v(b) = -b**2 + b. Let p(c) = k*g(c) - 4*v(c). Factor p(d).
(d - 2)*(d - 1)
Let z = 68 - 63. Let q(b) be the third derivative of 0 - 1/780*b**6 + 0*b - 1/195*b**z + 0*b**4 + 0*b**3 + 1/1365*b**7 - 4*b**2. Factor q(t).
2*t**2*(t - 2)*(t + 1)/13
Let 0 + 0 + 3*m**2 + 27*m + 10 + 14 = 0. What is m?
-8, -1
Let -333*v - 24*v**2 + 397*v - v**3 - 3*v**3 = 0. What is v?
-8, 0, 2
Let k be 1 + 10 + 1 + 1. Let g be (k + 1)/2 - 4. Factor 0*i**g + 3*i**4 + 6*i**2 + 9*i**3 - 36 + 36.
3*i**2*(i + 1)*(i + 2)
Let p be 3 - -1*(4 - 6 - -1). Let l be p/(-10) + (-29)/135*-3. Factor l*i**2 + 0*i - 2/9 + 0*i**3 - 2/9*i**4.
-2*(i - 1)**2*(i + 1)**2/9
Let i = 998 - 8968/9. Let k = -8/9 + i. Suppose -k*w**3 - 6*w**2 - 18 - 18*w = 0. Calculate w.
-3
Let r be (4/12 - 2)*(-16 + 366/24). Factor r*f - 1/4*f**3 + 1/4*f**2 + 3/4.
-(f - 3)*(f + 1)**2/4
Let h(c) be the third derivative of 0*c - 2/9*c**4 - 2/9*c**3 + 2/45*c**6 + 2/105*c**7 - 2/45*c**5 + 0 - 6*c**2. Solve h(l) = 0 for l.
-1, -1/3, 1
Let v be 1/(-4) + 930/40 + -19. Suppose 0 - 3/2*n - 7/2*n**2 - 5/2*n**3 - 1/2*n**v = 0. What is n?
-3, -1, 0
Let b(w) = -2*w**3 + 13*w**2 - 7*w + 8. Let o be b(6). Factor -15*s**2 + 6*s**o + 11*s**2 + 2*s.
2*s*(s + 1)
Determine g, given that 28/3*g**2 + 0 + 46/3*g**3 + 0*g + 2*g**4 = 0.
-7, -2/3, 0
Let x(m) be the third derivative of m**7/945 + m**6/540 - 2*m**5/135 - m**4/27 - 177*m**2. Factor x(d).
2*d*(d - 2)*(d + 1)*(d + 2)/9
Let z(c) = c + 7. Let f be z(-7). Suppose b + 5*u - 3*u = 8, -u = -b + 2. Factor -1/3*i**5 + 0*i + f*i**2 - 4/3*i**3 + 4/3*i**b + 0.
-i**3*(i - 2)**2/3
Let x(f) be the third derivative of f**8/80640 + f**7/5040 + f**6/720 - 3*f**5/20 - 12*f**2. Let q(k) be the third derivative of x(k). Factor q(y).
(y + 2)**2/4
Let w(v) be the first derivative of -1/2*v**3 - 2/15*v**5 - 3 + 1/6*v - 1/12*v**2 - 11/24*v**4. Factor w(t).
-(t + 1)**3*(4*t - 1)/6
Suppose 0 = 2*t - 3*p + 54, 0*t + t - 2*p + 26 = 0. Let c be t/(-50) - 2/5*1. Factor 0*v + c*v**3 + 1/5*v**4 + 0 - 2/5*v**2.
v**2*(v - 1)*(v + 2)/5
Let d(o) be the second derivative of 1/5*o**5 + 0*o**4 + 0*o**3 + 0 + 0*o**2 + 7*o + 1/21*o**7 - 1/5*o**6. Find t, given that d(t) = 0.
0, 1, 2
Let t(m) be the third derivative of 0*m + 0*m**3 + 15*m**2 + 1/16*m**4 - 1/80*m**6 - 1/140*m**7 + 1/40*m**5 + 0. What is v in t(v) = 0?
-1, 0, 1
Let d(o) be the third derivative of o**7/12600 - o**6/900 + o**5/150 - 17*o**4/24 - 17*o**2. Let j(c) be the second derivative of d(c). Factor j(i).
(i - 2)**2/5
Let y be 88/10 - ((-108)/12 - -14). Let -4/5*d**2 - y*d + 1 = 0. What is d?
-5, 1/4
Let z(y) be the third derivative of -y**6/30 + 8*y**5/15 - 5*y**4/2 + 37*y**2. Let z(b) = 0. Calculate b.
0, 3, 5
Let q be 42/81*6 + -4*(-5)/(-180). Factor 3/2*o**q + 3/2*o**4 + 1/2*o**5 + 0 + 0*o + 1/2*o**2.
o**2*(o + 1)**3/2
Suppose r = -3 + 8. Suppose 0 = r*s - s - 8. Solve -2*k + s*k**4 - 6*k**3 - k**4 + 11*k**4 - 10*k**2 + 6*k**4 = 0.
-1/3, 0, 1
Find s such that 5*s**4 + 6*s**2 + 9*s**3 + 4*s**4 + 0*s**4 - 6*s**4 = 0.
-2, -1, 0
Let a = -3 - -3. Let r = 16 - a. Factor 9*v**5 - 37*v + 8*v**3 - 13*v**5 + 48*v**2 + v - r*v**4.
-4*v*(v - 1)**2*(v + 3)**2
Factor 13*w + 5*w + 14 + 5*w - 4*w**2 - 4*w**3 + 2 - 7*w.
-4*(w - 2)*(w + 1)*(w + 2)
Let r = 158 - 155. Let p be 45/(-28) - -1 - 162/(-216). Find q, given that 1/7*q**5 - 4/7*q**4 + p*q + 6/7*q**r - 4/7*q**2 + 0 = 0.
0, 1
Let p(k) be the third derivative of -k**7/2520 + k**6/360 - k**4/18 - 13*k**3/6 + 13*k**2. Let i(z) be the first derivative of p(z). Let i(y) = 0. Calculate y.
-1, 2
Suppose 48*g + 4 - 148 = 0. Let n(i) be the second derivative of 5*i + 0*i**g + 1/8*i**2 + 0 - 1/48*i**4. Factor n(k).
-(k - 1)*(k + 1)/4
Let o(i) = 6*i**5 - 2*i**4 + 2*i**3 + 2*i**2 - 4. Let g(p) = 7*p**5 - 3*p**4 + 3*p**3 + 3*p**2 - 5. Let k(n) = 4*g(n) - 5*o(n). Find j, given that k(j) = 0.
-1, 0, 1
Let w(o) be the third derivative of -o**8/168 + 19*o**7/315 + o**6/180 - 23*o**5/18 + 13*o**4/18 + 40*o**3/3 - 3*o**2 - 226. Suppose w(q) = 0. Calculate q.
-2, -1, 4/3, 3, 5
Let r(t) = -20*t**2 + 138*t + 18. Let m be r(7). Factor -m + 16/3*l - 4/3*l**2.
-4*(l - 3)*(l - 1)/3
What is o in 0 - 1/2*o**3 - 2*o - 2*o**2 = 0?
-2, 0
Solve -10 - 175/4*f**3 + 55*f + 65/4*f**5 + 145/2*f**2 - 35*f**4 = 0 for f.
-1, 2/13, 2
Suppose -24*o + 21 = -21*o. Let i be 3 - 164/(-36) - (3 - o). Factor -i*m + 8/9 + 338/9*m**2.
2*(13*m - 2)**2/9
Let w(b) be the first derivative of -1/7*b**2 + 3 + 1/14*b**4 + 3/7*b**3 - 9/35*b**5 + 0*b. Factor w(m).
-m*(m - 1)*(m + 1)*(9*m - 2)/7
Let p(w) be the third derivative of -w**7/1050 - w**6/300 + w**4/60 + w**3/30 - 10*w**2. Factor p(u).
-(u - 1)*(u + 1)**3/5
Let o = -14345 + 129155/9. Factor -2/9*q**2 + 20/9*q - o.
-2*(q - 5)**2/9
Let l(c) be the second derivative of c**5/220 - 2*c**4/11 + 32*c**3/11 - 256*c**2/11 + 542*c + 2. Factor l(d).
(d - 8)**3/11
Let d(a) = -a**5 - a**3 - a**2 - 1. Let x(k) = 10*k**5 - 11*k**4 - 44*k**3 + 57*k**2 - 28*k. Let h(t) = 20*d(t) - 5*x(t). Suppose h(c) = 0. Calculate c.
-2, 2/7, 1/2, 1
Suppose -16*z + 7918 - z**2 - 7954 + 2*z**2 = 0. Calculate z.
-2, 18
Let v be (-858)/(-195) - 8/2. Let -2/5*y**4 + 4/5*y**3 + 0 + 0*y - v*y**2 = 0. What is y?
0, 1
Let a be 153/6*(-8)/(-12). Suppose 5*l + t = l + a, 5*l + 2*t = 22. What is s in 2 + 4*s**2 + 4*s**2 - 2 + 4*s**l + 12*s**3 = 0?
-2, -1, 0
Let r(l) be the second derivative of -l**4/72 - 5*l**3/18 - 3*l**2/4 - 35*l. Solve r(t) = 0 for t.
-9, -1
Let v(x) be the second derivative of -x**4/6 - 3*x**3 + 22*x**2 - 42*x - 3. Determine l, given that v(l) = 0.
-11, 2
Suppose 0 = 2*m - 106 + 100. Determine x so that 0 - 2/3*x**2 + 2*x**m - 4/3*x + 2/3*x**4 - 2/3*x**5 = 0.
-1, 0, 1, 2
Let g = -9 - -14. Suppose 7 + g = 3*d. Factor 2*t**2 - 2*t**d + 3*t**3 - 2*t**2 - t**4.
-3*t**3*(t - 1)
Suppose 303*k - 24 = 299*k. Let x(h) be the third derivative of 1/4*h**4 + 0*h + 2/3*h**3 + 8*h**2 - 1/60*h**k + 0*h**5 + 0. Find o, given that x(o) = 0.
-1, 2
Let o be (-20)/(-5)*4/(16/3). Factor 7*z + 0*z**3 - 4*z - o*z**3.
-3*z*(z - 1)*(z + 1)
Let w = 4823/9634 + -3/4817. Factor -1/2*x + w*x**3 + 1/2*x**2 - 1/2.
(x - 1)*(x + 1)**2/2
Let a = -57 + 39. Let c be a/27*(-9)/4. Factor 15/2*o + 9/2*o**2 + 3 - c*o**4 - 3/2*o**3.
-3*(o - 2)*(o + 1)**3/2
Let q(i) be the second derivative of -3*i**5/50 - i**4/30 + 8*i**3/45 + 4*i**2/15 - 547*i. Factor q(v).
-2*(v - 1)*(3*v + 2)**2/15
Let x(s) be the first derivative of s**6/2 + 5*s**5/4 - 55*s**4/12 + 5*s**3/2 - 31*s - 19. Let j(f) be the first derivative of x(f). Factor j(q).
5*q*(q - 1)*(q + 3)*(3*q - 1)
Let a(s) = -9*s**2 + 3*s - 16 - 1 + 18*s**2. Let w(y) = 22*y**2 + 8*y - 42. Let l(f) = 12*a(f) - 5*w(f). Factor l(x).
-2*(x - 1)*(x + 3)
Let c(h) be the third derivative of h**7/1260 + h**6/45 + 4*h**5/15 - h**4/6 + 14*h**2. Let j(k) be the second derivative of c(k). Factor j(b).
2*(b + 4)**2
Let x(g) be the second derivative of -g**6/165 - 6*g**5/55 - 7*g**4/22 - 10*g**3/33 - 33*g + 1. Factor x(h).
-2*h*(h + 1)**2*(h + 10)/11
Let a be (-6)/(-33) - (92/69)/(220/(-50130)). Let -a*c**2 + 800/3*c - 128/3 - 1064/3*c**3 - 196/3*c**4 = 0. What is c?
-4, -2, 2/7
Let r(y) = 18*y - 