**3.
y*(y - 9)*(y + 1)
Suppose 2*v + 26 = -5*r + 3*v, -5*r - 14 = -4*v. Let a be (2/(8/r))/(20/(-40)). Factor 0 + 2/5*m**a - 4/5*m**2 - 6/5*m.
2*m*(m - 3)*(m + 1)/5
Let y(q) be the first derivative of q**8/1120 + q**7/280 + q**6/240 - 11*q**3/3 + 6. Let v(s) be the third derivative of y(s). Factor v(z).
3*z**2*(z + 1)**2/2
Let p(r) be the third derivative of r**10/287280 - r**9/71820 + r**8/63840 + 7*r**4/24 + 23*r**2. Let k(i) be the second derivative of p(i). Factor k(d).
2*d**3*(d - 1)**2/19
Let b(i) = i**3 - 21*i**2 - 9*i - 11. Let w(m) = m**3 - 41*m**2 - 19*m - 21. Let l(f) = -11*b(f) + 6*w(f). Determine o, given that l(o) = 0.
-1
Let x be (-2)/(-5) - 236/(-60). Let n = 181/39 - x. Factor n*l + 2/13*l**2 + 2/13.
2*(l + 1)**2/13
Let c(w) be the second derivative of -w**6/1440 + 7*w**5/480 - 5*w**3/6 - 7*w. Let u(n) be the second derivative of c(n). Let u(b) = 0. What is b?
0, 7
Let h be ((-140)/21 - -5) + 7. Let y = -1 - -3. Find r such that -2/3*r**3 - 8*r - h - 4*r**y = 0.
-2
Let a = -18 - -11. Let c = a - -9. Let 0*d**c - 17 + 17 - 3*d**2 = 0. Calculate d.
0
Let a = 20178/299 + -1538/23. What is r in -2/13*r**2 - 10/13*r - a = 0?
-4, -1
Let m(h) be the second derivative of -h**5/50 - 19*h**4/15 - 132*h**3/5 - 648*h**2/5 + 10*h + 19. Solve m(b) = 0.
-18, -2
Let r(p) be the first derivative of -10 + 3/2*p + 3/2*p**3 - 3/8*p**4 - 9/4*p**2. Let r(d) = 0. Calculate d.
1
Determine i, given that 4*i**3 + 0*i**3 - 3*i**2 + 23*i**2 - 11*i**2 = 0.
-9/4, 0
Let l(m) = -8*m**2 + 118*m - 26. Let p(z) = -3*z**2 + 42*z - 9. Let n(u) = -5*l(u) + 14*p(u). Factor n(t).
-2*(t - 1)*(t + 2)
Let i = 425889/5 + -85552. Let v = 376 + i. Factor -v - 6/5*m - 1/5*m**2.
-(m + 3)**2/5
Let u(r) = r**3 + 10*r**2 - 24*r + 2. Let q be u(-12). Let t(i) be the second derivative of 5/24*i**3 - 4*i - 1/4*i**q + 0 + 7/48*i**4. What is m in t(m) = 0?
-1, 2/7
Let s(l) be the second derivative of l**6/210 - 3*l**5/70 + 5*l**4/84 + 2*l**3/7 - 4*l - 19. Solve s(z) = 0.
-1, 0, 3, 4
Factor 8 - 82 + 2*n**2 + 32 + 8*n.
2*(n - 3)*(n + 7)
Let a = 16 + -14. Suppose -3 = -2*t + 1, -a*i - 3*t = -16. Let 17*g**2 - 5*g**5 - 4*g**3 + 4*g - 13*g**4 + i*g**3 - 4 + 0*g**3 = 0. Calculate g.
-2, -1, 2/5, 1
Let n(l) be the second derivative of 13*l**7/294 + 5*l**6/21 + 57*l**5/140 + 4*l**4/21 - 2*l**3/21 + 112*l. Determine g so that n(g) = 0.
-2, -1, 0, 2/13
Let c(a) = -a**2 - a + 1. Let q(y) = 6*y**2 - 19. Let p(n) = 5*c(n) + q(n). Factor p(g).
(g - 7)*(g + 2)
Suppose -11*l + 46 = 3 + 10. Determine i so that 1/2 - l*i**2 + 3/4*i + 7/4*i**3 = 0.
-2/7, 1
Find p such that 0*p + 0 - 3*p**4 + 60/7*p**3 - 36/7*p**2 = 0.
0, 6/7, 2
Let a(s) be the third derivative of -41*s**2 - 1/5*s**5 + 0*s**4 + 0*s**3 + 1/30*s**6 + 0 + 0*s. Factor a(o).
4*o**2*(o - 3)
Suppose -5*g + 5 = -20. Let 3 + 2*t**3 - 2 + t**4 + 6*t**2 + 0*t**2 - t**g - 8*t**2 - t = 0. Calculate t.
-1, 1
Factor 0*r - 192/7 - 54/7*r**3 + 132/7*r**2 + 6/7*r**4.
6*(r - 4)**2*(r - 2)*(r + 1)/7
Let w(f) be the second derivative of f**5/60 + f**4/2 + 47*f**3/18 + 5*f**2 + 247*f. Factor w(y).
(y + 1)*(y + 2)*(y + 15)/3
Let a(k) = 8*k**3 + 734*k**2 + 1778*k + 699. Let t(x) = 12*x**3 + 1100*x**2 + 2666*x + 1049. Let n(c) = -7*a(c) + 5*t(c). Factor n(p).
2*(p + 2)*(p + 88)*(2*p + 1)
Let h(u) be the first derivative of -4/3*u**3 - 10*u**2 - 12*u + u**4 + 9. Factor h(v).
4*(v - 3)*(v + 1)**2
Factor -45*u**5 + 120*u**2 - 2*u - 30*u**4 + 10*u**3 - 100*u**2 - 3*u - 30*u**4.
-5*u*(u + 1)**2*(3*u - 1)**2
Find q, given that -8/3 - 2*q**4 - 34/3*q**2 - 80/9*q - 62/9*q**3 - 2/9*q**5 = 0.
-3, -2, -1
Let p(b) = -5*b**2 + 401*b + 394. Let s(r) = 15*r**2 - 1201*r - 1184. Let o(z) = 8*p(z) + 3*s(z). Factor o(t).
5*(t - 80)*(t + 1)
Let j(y) = 4*y**3 - 2*y**2 - 3*y - 3. Let l be j(3). Let v = -232/3 + l. Find i such that v - 4/3*i + 2/3*i**2 = 0.
1
Suppose -r + 4 = -3. Let a = -2 + r. Factor -3*u + 6*u**2 - 4*u**3 - a + u**3 + 5.
-3*u*(u - 1)**2
Suppose -5*z + 2*h + 14 = -3*z, 3*h + 23 = 4*z. Factor 8*k + 7*k + 33 - k - 27 + 10*k**2 + z*k**3.
2*(k + 1)**2*(k + 3)
Factor -196 - x**5 - 4*x**5 - 18*x**4 + 2*x**5 - 24*x**3 + 196.
-3*x**3*(x + 2)*(x + 4)
Let l(b) be the first derivative of -3*b**4/4 - 9*b**3 - 39*b**2 - 72*b - 40. Factor l(x).
-3*(x + 2)*(x + 3)*(x + 4)
Factor 4*m**3 + 2*m**2 + 96*m**2 - 6*m**2 - 569 + 480*m - 7.
4*(m - 1)*(m + 12)**2
Let x = 14 - 11. Suppose -5 = -a + f, 3*a + 1 = -x*f - 2. Find p, given that -25*p**3 + 4*p**a + 56*p**5 - p**3 + 26*p**4 + 5*p - 5*p = 0.
-1, 0, 1/4, 2/7
Suppose -w = w - 54. Let g = w + -22. Let i(a) = -2*a**2 + 2. Let d(u) = u**2 - 1. Let c(q) = g*i(q) + 5*d(q). Factor c(m).
-5*(m - 1)*(m + 1)
Suppose 682*f - 679*f - 6 = 0. Let l(c) be the third derivative of 0*c**3 + 5*c**f + 0 - 1/180*c**5 - 1/24*c**4 + 0*c. Find h, given that l(h) = 0.
-3, 0
Let i(l) be the second derivative of -l**5/20 - l**4/6 + l**3/2 + 10*l. Factor i(z).
-z*(z - 1)*(z + 3)
Let c(a) be the second derivative of -a**7/1120 - a**6/160 - 3*a**5/160 - a**4/32 + 4*a**3/3 + 22*a. Let v(f) be the second derivative of c(f). Solve v(s) = 0.
-1
Let b = -58 - -58. Let -12/11*m + 2/11*m**2 + b = 0. Calculate m.
0, 6
Let a = 126161 - 80210. Let j = a - 228963/5. Determine x, given that j*x**3 - 892/5*x**4 + 56*x**5 + 0 - 272/5*x**2 + 32/5*x = 0.
0, 2/7, 2/5, 1/2, 2
Let r(v) be the first derivative of v**5/140 - v**4/42 + v**3/42 - 11*v - 5. Let l(o) be the first derivative of r(o). Suppose l(x) = 0. Calculate x.
0, 1
Let o = 26482 - 52955/2. Factor -15/2*y**2 + 3/2*y**4 - 9/2*y + o*y**3 + 6.
3*(y - 1)**2*(y + 1)*(y + 4)/2
Suppose -2*x - x + 15 = 2*k, 5*x = -k + 18. Suppose -c - k*a = -4*c - 3, -5 = -3*c - 5*a. What is y in 1/6 - 1/6*y**2 + c*y = 0?
-1, 1
Let p(v) be the third derivative of -7*v**6/40 - 9*v**5/20 + 3*v**4/2 + 2*v**3 + 54*v**2. Factor p(z).
-3*(z - 1)*(z + 2)*(7*z + 2)
Let c(j) be the third derivative of -j**6/105 + j**5/210 + 3*j**4/7 - 3*j**3/7 - j**2 - 3*j. Factor c(k).
-2*(k - 3)*(k + 3)*(4*k - 1)/7
Let q = -15 - -17. Let -14*x + 9*x**2 + 0*x - 6 - 2*x**3 - 19*x**q = 0. Calculate x.
-3, -1
Let s be 16/32 + (4 - (-4)/(-8)). Determine l, given that -2/5*l**s - 16/5*l + 4/5*l**3 + 8/5 + 6/5*l**2 = 0.
-2, 1, 2
Let c be ((-25)/3)/(13/91*-7). Let z = 18 + -18. Suppose -c*s**3 + 20/3*s**2 + z - 4/3*s = 0. Calculate s.
0, 2/5
Suppose 2*l + l = 3. Let z be 3*l*65/39. What is x in -44*x + 8 + 0*x**5 + 56*x**2 - 95*x**4 + 16*x**3 + 31*x**4 + 5*x**5 + 23*x**z = 0?
-1, 2/7, 1
Factor 0 - 1 + 21*s**2 + s**4 - 9*s**3 + 0*s**2 - 19*s + 7.
(s - 6)*(s - 1)**3
Suppose -12 = 4*d - 0. Let p be (d + 9)*4/6. Factor -p*x**2 - 28 + 12 + 16.
-4*x**2
Suppose 16*g = 10*g. Let h(d) be the third derivative of 0 + g*d + 0*d**3 + 0*d**4 - 2/75*d**5 - 3/175*d**7 + 4*d**2 - 1/25*d**6. Factor h(w).
-2*w**2*(3*w + 2)**2/5
Let m(l) be the first derivative of -27*l**6/8 + 63*l**5/10 + 17*l**4/4 + 2*l**3/3 - 166. Suppose m(s) = 0. Calculate s.
-2/9, 0, 2
Factor 15*h**2 - h**4 - 15*h**2 + 6*h**3 - 2*h**3.
-h**3*(h - 4)
Let k(t) = -5*t**5 + 5*t**4 - 53*t**3 + 95*t**2 - 50*t - 4. Let a(w) = -4*w**5 + 7*w**4 - 54*w**3 + 95*w**2 - 50*w - 3. Let y(f) = 4*a(f) - 3*k(f). Factor y(u).
-u*(u - 5)**2*(u - 2)*(u - 1)
Let j be (-15)/5 - (-1 - 2). Suppose -4*f - 5*u + 5 = j, u = 3*f - u - 21. Factor 6*y**f + 14*y**2 - 17*y**2 + 9*y**3 - 3*y + 11*y**4 + 4*y**4.
3*y*(y + 1)**3*(2*y - 1)
Let z = -1228 - -1230. Let b(s) be the first derivative of 1/3*s**3 - 3/2*s**2 + z + 2*s. Factor b(k).
(k - 2)*(k - 1)
Let a be (22/110 + 14/(-20))*-6. Suppose 0 - 2/5*n**a - 2*n**2 - 8/5*n = 0. Calculate n.
-4, -1, 0
Let i = 1045 + -1042. Let c be 18/15*5/30. Factor -3/5*z - c*z**i + 3/5*z**2 + 1/5.
-(z - 1)**3/5
Let t(m) be the second derivative of m**9/10584 - m**7/2940 + m**3 - 9*m. Let p(n) be the second derivative of t(n). Let p(c) = 0. Calculate c.
-1, 0, 1
Let x = 27016 + -27012. Determine h, given that -6*h**2 - 6*h + 9/2*h**3 - 3/2*h**5 + 0 + 3*h**x = 0.
-1, 0, 2
Let h be (284/(-1065))/((-6)/40). Factor -h*s**2 + 10/9*s - 2/9 + 8/9*s**3.
2*(s - 1)*(2*s - 1)**2/9
Let v(f) be the third derivative of -f**5/150 + 7*f**4/180 - 2*f**3/45 - 13*f**2. Factor v(g).
-2*(g - 2)*(3*g - 1)/15
Let y be 10 - (-5)/(-2)*480/144. Factor 0 - 5/3*d**3 + 10/3*d - y*d**2.
-5*d*(d - 1)*(d + 2)/3
Let m(s) be the first derivative o