tive of 0*l - 1/2016*l**8 + p + 13*l**2 + 1/180*l**5 - 1/144*l**6 + 0*l**4 + 1/315*l**7 + 0*l**3. Factor h(s).
-s**2*(s - 2)*(s - 1)**2/6
Let r = 40 + -36. Suppose -r*a - 6 = 4*s - 2, 2*s + 14 = 2*a. Factor -2 + 1/4*h**3 + a*h - 3/2*h**2.
(h - 2)**3/4
Let z(b) be the second derivative of 0*b**2 - 1/5*b**5 + 0 - 1/6*b**3 - 5/18*b**4 - 1/15*b**6 - 1/126*b**7 - 3*b. Factor z(m).
-m*(m + 1)**3*(m + 3)/3
Let k(t) be the third derivative of 5*t**6/56 + 9*t**5/28 - 3*t**4/8 - 7*t**3/2 + 2*t**2 - 3*t. Factor k(r).
3*(r - 1)*(5*r + 7)**2/7
Let d(n) be the third derivative of -n**6/30 + 49*n**5/5 - 2401*n**4/2 + 235298*n**3/3 + 31*n**2. Factor d(b).
-4*(b - 49)**3
Let n be (24/(-130))/((-248)/1860). Determine r so that 2/13*r**2 + n + 12/13*r = 0.
-3
Let y(x) = 4*x**4 + 69*x**3 + 235*x**2 + 98*x + 22. Let l(c) = -c**3 - c**2 - 2. Let v(k) = 22*l(k) + 2*y(k). Factor v(j).
4*j*(j + 7)**2*(2*j + 1)
Let m(k) = -21*k**2 - 9*k. Let f(q) = 168*q**2 + 76*q + 1. Let u(a) = 6*f(a) + 51*m(a). Factor u(d).
-3*(3*d + 1)*(7*d - 2)
Let o(c) be the third derivative of c**6/210 - 2*c**5/105 - c**4/14 + c**2 - 15. Factor o(y).
4*y*(y - 3)*(y + 1)/7
Let q(z) = z**2 + 17*z - 16. Let h be q(-18). Factor 189*i - 2*i**2 + 7 - 188*i - 5*i**h - i**3.
-(i - 1)*(i + 1)*(i + 7)
Let x(g) be the second derivative of 12*g + 0*g**4 - 1/45*g**6 + 0*g**3 + 0*g**2 + 0 - 1/5*g**5 + 1/63*g**7. Factor x(c).
2*c**3*(c - 3)*(c + 2)/3
Let w be (-1008)/(-216)*(-2)/(-7). Find u such that w*u**5 + 12*u**3 + 0 - 28/3*u**2 + 8/3*u - 20/3*u**4 = 0.
0, 1, 2
Let o be 6/(-2)*(1 - (-10)/6). Let b be (-5 - o)*1/(-3)*-2. Determine h so that 16/3*h**b + 2/3 + 10/3*h + 8/3*h**3 = 0.
-1, -1/2
Let r(l) be the third derivative of -22*l**7/105 - 23*l**6/20 - 53*l**5/30 - l**4/2 + 126*l**2. Find h, given that r(h) = 0.
-2, -1, -3/22, 0
Let d(u) = -u**2 + 8*u - 11. Let h be (-30)/(-50) - (-22)/5. Let q be d(h). Determine c, given that c**q - 30 + 5*c**4 - 4*c + 4*c**3 - 6*c**2 + 30 = 0.
-1, -2/3, 0, 1
What is d in 500 - 2075*d + 1273*d**3 + 967*d**3 - 1635*d**3 + 1870*d**2 = 0?
-4, 5/11
Let z be ((-7)/(140/(-8)))/(1/5). Factor 4*w**4 + 8*w**3 - 1 - 4*w - w**z + 5 - 4*w**5 - 7*w**2.
-4*(w - 1)**3*(w + 1)**2
Factor 104*x - x**3 - 48*x - 3*x**3 - 52*x**2.
-4*x*(x - 1)*(x + 14)
Solve -239*m - 6*m**4 - 87*m + 84*m**2 + 320 + 16*m**3 + 2*m**4 - 90*m = 0 for m.
-5, 1, 4
Suppose 37*b = 16*b + 63. Let r(z) be the second derivative of 1/10*z**b - 1/20*z**4 - 1/10*z**2 + 1/100*z**5 + 0 - 5*z. Factor r(v).
(v - 1)**3/5
Determine c, given that -10/11*c**2 - 16/11*c - 8/11 - 2/11*c**3 = 0.
-2, -1
Let i(y) = -6*y**2 - 9*y + 15. Let s(h) be the first derivative of 7*h**3/3 + 9*h**2/2 - 16*h - 7. Let l(t) = -4*i(t) - 3*s(t). Determine r so that l(r) = 0.
-4, 1
Let r(x) = -16*x**3 - 12*x**2. Let h(o) = -o**3 - 2*o**2 + 0*o**3 + o**2 + 0*o**2. Let v(k) = -8*h(k) + r(k). Solve v(t) = 0 for t.
-1/2, 0
Factor -79*b**4 + 448*b**3 - 9*b**5 + 3*b**4 - 768*b**2 + 13*b**5.
4*b**2*(b - 8)**2*(b - 3)
Let y(n) be the first derivative of -n**5/20 - 5*n**4/8 - 3*n**3 + 11*n**2 - 28. Let i(a) be the second derivative of y(a). Let i(u) = 0. What is u?
-3, -2
Let g = -6 + 8. Determine r, given that 0*r**4 + 3*r**5 + 0*r**5 + 3*r**g - 3*r**4 - 3*r**3 = 0.
-1, 0, 1
Let u(n) = 2*n**4 + 13*n**3 - 22*n**2 + 17*n + 10. Let m(x) = x**4 + 7*x**3 - 11*x**2 + 9*x + 6. Let k(s) = -10*m(s) + 6*u(s). Factor k(g).
2*g*(g - 1)**2*(g + 6)
Let z be (-1 - 2) + (-63)/(-9). Determine s so that -9*s**2 + 22*s**z - 26*s**4 + 8*s**3 + 5*s**2 = 0.
0, 1
Let i(v) be the first derivative of 1/2*v**2 - 11 - 1/12*v**3 + 0*v. Factor i(c).
-c*(c - 4)/4
Let r(f) be the first derivative of 4*f - 5 - 1/4*f**4 + 3*f**2 + 1/2*f**3. Let c(n) be the first derivative of r(n). Let c(g) = 0. Calculate g.
-1, 2
Factor 5/4*w**3 + 0*w**2 - 15/2 - 35/4*w.
5*(w - 3)*(w + 1)*(w + 2)/4
Let l(r) be the first derivative of -2*r**6/3 - 28*r**5/5 - 13*r**4 + 4*r**3 + 36*r**2 - 151. Find j, given that l(j) = 0.
-3, -2, 0, 1
Suppose -s - 1 = -3. Let v be 8/(-4 - -6) - s. Find a, given that -2*a**2 - 5*a**2 + a**2 + 4 + 0*a**v + 2*a = 0.
-2/3, 1
Let w(l) be the first derivative of -24/7*l**2 - 2/21*l**3 + 13 - 288/7*l. Determine s, given that w(s) = 0.
-12
Let t(l) be the first derivative of -250*l**6/3 - 280*l**5 - 360*l**4 - 216*l**3 - 54*l**2 - 147. Factor t(y).
-4*y*(y + 1)*(5*y + 3)**3
Let t(f) be the second derivative of f**6/15 + 3*f**5/5 + 2*f**4 + 10*f**3/3 + 3*f**2 + 25*f + 2. Factor t(h).
2*(h + 1)**3*(h + 3)
Let t(n) = n**3 - 72*n**2 - 69*n. Let k(q) = 4*q**3 - 144*q**2 - 138*q. Let j(m) = -2*k(m) + 5*t(m). Factor j(f).
-3*f*(f + 1)*(f + 23)
Let c be ((-228)/20)/((-3)/(-51)). Let k = -193 - c. Suppose k*o + 0 - 2/5*o**2 = 0. Calculate o.
0, 2
Let y = -187 + 247. Let p be 6/45 - (-16)/y. Factor 4/5*k**2 + 2*k**3 + 8/5*k**4 + p*k**5 + 0*k + 0.
2*k**2*(k + 1)**2*(k + 2)/5
Let c(o) = -o + 1. Let v = -47 - -46. Let a(f) = f**3 - 8*f**2 + 13*f + 3. Let y(k) = v*a(k) + 3*c(k). Determine z so that y(z) = 0.
0, 4
Let h = -31 - -34. Factor 8*s**h + 3*s + 15*s**2 - 8 - 11*s**3 - 7.
-3*(s - 5)*(s - 1)*(s + 1)
Let z(t) be the second derivative of t**6/900 + t**5/75 - t**3/6 + 9*t. Let a(h) be the second derivative of z(h). Find u, given that a(u) = 0.
-4, 0
Let w(l) be the first derivative of -9 + 1/80*l**5 - 1/24*l**3 - 7*l - 1/4*l**2 + 1/24*l**4. Let d(z) be the first derivative of w(z). Factor d(v).
(v - 1)*(v + 1)*(v + 2)/4
Let j = -2130 + 2135. Determine h, given that 10*h**2 + 5/4*h**4 + j*h + 0 + 25/4*h**3 = 0.
-2, -1, 0
What is t in -60 + 20 + 2*t**2 - 523*t + 521*t = 0?
-4, 5
Let u(v) be the first derivative of 2*v**6/3 - 16*v**5/5 + 40*v**3/3 - 2*v**2 - 24*v + 762. Suppose u(m) = 0. What is m?
-1, 1, 2, 3
Let -1/5*b**3 - 44943/5*b - 423/5*b**2 - 44521/5 = 0. Calculate b.
-211, -1
Let s(m) = m**2. Let k(p) = -25*p**2 - 55*p - 140. Let a(z) = -k(z) - 20*s(z). Determine w so that a(w) = 0.
-7, -4
Let d(n) be the second derivative of 0 - 1/24*n**3 - 10*n - 1/48*n**4 + 1/4*n**2. Factor d(c).
-(c - 1)*(c + 2)/4
Let a(k) be the first derivative of k**4/6 + 2*k**3/5 - 17*k**2/15 + 2*k/5 - 11. What is m in a(m) = 0?
-3, 1/5, 1
Let q = 5868 + -41074/7. Solve 4/7*h + 18/7*h**3 + q*h**5 - 2*h**2 - 10/7*h**4 + 0 = 0 for h.
0, 1, 2
Suppose 2*z + 2*o - 6 = -4, 2*z = 3*o - 3. Let y(i) be the third derivative of z*i + 1/3*i**4 + i**3 + 0 - 5*i**2 + 1/30*i**5. Determine r, given that y(r) = 0.
-3, -1
Suppose -u + 290*v - 3 = 285*v, 7 = 5*u - 3*v. Factor -24/5 - 44/5*l + 28/5*l**u.
4*(l - 2)*(7*l + 3)/5
Let d(m) be the second derivative of -m**4/3 + 94*m**3/3 + 196*m**2 - 64*m - 2. Factor d(r).
-4*(r - 49)*(r + 2)
Factor 3*p**3 - 60 + 20*p - 85*p**2 + 2*p**3 + 120*p**2.
5*(p - 1)*(p + 2)*(p + 6)
Let g(a) be the third derivative of a**7/210 + 13*a**6/30 + 45*a**5/4 - 13*a**4/6 - 338*a**3/3 - 311*a**2. What is r in g(r) = 0?
-26, -1, 1
Let t = 954 + -954. Let r(w) be the third derivative of 0*w**4 + 1/525*w**7 - 1/150*w**5 + 0*w**3 - 2*w**2 + 0*w**6 + t + 0*w. Factor r(s).
2*s**2*(s - 1)*(s + 1)/5
Let y be (152/36 - 2) + (3 - 5). Let v(t) be the second derivative of -7*t + y*t**3 + 0 - 2/9*t**4 + 4/3*t**2 - 1/15*t**5. Find h, given that v(h) = 0.
-2, -1, 1
Suppose -101*f + 4 = -99*f. Let a(v) be the third derivative of -1/60*v**7 + 0 + 1/6*v**3 - 1/8*v**5 + 1/48*v**4 - f*v**2 + 0*v + 19/240*v**6. Solve a(h) = 0.
-2/7, 1
Let h(p) be the third derivative of -p**5/390 - p**4/12 + 14*p**3/39 - 3*p**2 + 2. Factor h(c).
-2*(c - 1)*(c + 14)/13
Let k(c) be the second derivative of -2*c**5/25 - 61*c**4/30 + 49*c**3/15 + 16*c**2/5 + 194*c. Determine q so that k(q) = 0.
-16, -1/4, 1
Let g(h) be the third derivative of -7*h**8/240 - h**7/10 - h**6/20 + h**5/6 + h**4/8 - 3*h**3/10 + 123*h**2. Factor g(c).
-(c + 1)**3*(7*c - 3)**2/5
Let f(d) = 6*d**2 - d + 6. Let q be f(-3). Let k be ((-35)/q)/((-10)/12). Suppose -k*h**2 - 4/3 + 2*h = 0. Calculate h.
1, 2
Let n(v) = 3*v**3 - 15*v**2 - 34*v + 42. Let b(j) = -35*j**3 + 180*j**2 + 410*j - 505. Let x(h) = -2*b(h) - 25*n(h). Factor x(p).
-5*(p - 4)*(p - 1)*(p + 2)
Let a = -12 + 32. Factor 16*m - m**3 - 32 + 4*m**4 - a*m**3 + 24*m**2 + m**3.
4*(m - 2)**3*(m + 1)
Let i(j) be the first derivative of 8*j + 37 + 5/2*j**4 - 5*j**2 - 2/5*j**5 - 2*j**3. Factor i(y).
-2*(y - 4)*(y - 1)