**3. Suppose p(z) = 0. Calculate z.
-1/2, 0, 1
Determine r so that -16/3 + 4*r - 2/3*r**2 = 0.
2, 4
Let v = 145/3192 + 1/456. Let q = v - -37/105. What is y in -2/5*y**2 + q*y**5 - 6/5*y**4 + 6/5*y**3 + 0 + 0*y = 0?
0, 1
Let s = 29/2090 + 3/95. Let c(l) be the second derivative of 1/165*l**6 + 0*l**2 + s*l**4 + 3/110*l**5 - 4*l + 0 + 1/33*l**3. Factor c(i).
2*i*(i + 1)**3/11
Let t(p) = 4*p**2 + 5*p - 4. Let o(k) = -k**2 - k + 1. Suppose -2*x - 2*x + 20 = 0. Suppose 0*w + 4 = 4*w. Let u(a) = w*t(a) + x*o(a). Factor u(i).
-(i - 1)*(i + 1)
Factor 8/9 + j**3 - 34/9*j**2 + 28/9*j.
(j - 2)**2*(9*j + 2)/9
Let l = -293 - -295. Factor 1/2*p - 3/2*p**3 + 0 + p**l.
-p*(p - 1)*(3*p + 1)/2
Let w be (11 - (5 - 3))/(-1). Let y be ((-6)/(-10))/(w/(-10)). Solve 0 + y*g + 8/3*g**5 + 2*g**2 - 10/3*g**3 - 2*g**4 = 0.
-1, -1/4, 0, 1
Let u(r) be the second derivative of r**6/6 + r**5 + 5*r**4/4 - 10*r**3/3 - 10*r**2 + 26*r. Factor u(q).
5*(q - 1)*(q + 1)*(q + 2)**2
Let b(a) be the first derivative of a**7/525 - a**6/300 + a**2/2 + 1. Let t(r) be the second derivative of b(r). Determine i so that t(i) = 0.
0, 1
Let k(b) = -b + 1. Let c(s) = -3*s + 5. Let m(w) = -c(w) + 2*k(w). Let f be m(6). Factor 0*o**2 + 2*o**2 - f + 4 + 1 - 4*o.
2*(o - 1)**2
Let n(t) be the first derivative of t**6/9 - 4*t**5/5 + 7*t**4/3 - 32*t**3/9 + 3*t**2 - 4*t/3 + 1. Factor n(s).
2*(s - 2)*(s - 1)**4/3
Let w(q) be the first derivative of q**3 - q**2 - 3*q + 1 + 3 + q**2. Factor w(g).
3*(g - 1)*(g + 1)
Suppose 3*z - 30 = 3*x, -4*z + 2*x + x = -41. Let a = z + -11. Factor 3/2*o**2 - 3/2 + a*o.
3*(o - 1)*(o + 1)/2
Let j(s) = 28*s**4 + 6*s**3 - 7*s**2 - 3*s. Let k(a) = 28*a**4 + 6*a**3 - 8*a**2 - 4*a. Let o(t) = 4*j(t) - 3*k(t). Suppose o(w) = 0. Calculate w.
-1/2, 0, 2/7
Suppose -12 = -s - 3*s. Suppose 10 = 3*p - 0*j - 2*j, p + 3*j + 15 = 0. Find c such that p*c**2 - s + c**2 + 2*c**2 = 0.
-1, 1
Suppose 5*y + v - 2*v = -178, 3*v = -6. Let p be (-2)/12*240/y. What is x in 2/9*x**3 - 8/9*x**2 - 4/9 + p*x = 0?
1, 2
Let j = 1/3 + 1/6. Factor 1/2 - 1/2*f - j*f**2 + 1/2*f**3.
(f - 1)**2*(f + 1)/2
Let n(j) be the third derivative of 6*j**2 + 0 + 0*j**4 + 1/280*j**7 + 0*j**5 + 0*j + 0*j**3 + 1/80*j**6. Factor n(p).
3*p**3*(p + 2)/4
Let d(a) be the second derivative of -a**6/40 - a**5/8 + a**4/4 + 5*a**3/6 + 4*a. Let c(l) be the second derivative of d(l). Factor c(n).
-3*(n + 2)*(3*n - 1)
Factor 3/4*y**3 + 9/4*y - 3*y**2 + 0.
3*y*(y - 3)*(y - 1)/4
Suppose 0*c = 8*c - 1152. Let x be 50/c - 7/56. Factor 4/9*t**3 + 0 + 2/9*t**4 - x*t**5 + 0*t + 0*t**2.
-2*t**3*(t - 2)*(t + 1)/9
Factor -3/7*v + 6/7*v**2 + 0*v**3 - 6/7*v**4 + 3/7*v**5 + 0.
3*v*(v - 1)**3*(v + 1)/7
Let x(i) be the third derivative of -i**8/8960 - i**7/10080 + i**6/1440 + i**4/24 + 3*i**2. Let r(z) be the second derivative of x(z). Factor r(n).
-n*(n + 1)*(3*n - 2)/4
Let g(i) be the second derivative of 0 + 1/6*i**3 - 2/75*i**6 + 1/30*i**4 + 1/5*i**2 - 5*i - 1/25*i**5 - 1/210*i**7. Factor g(r).
-(r - 1)*(r + 1)**3*(r + 2)/5
Let b(l) = -l**3 - l**2 + 1. Let x(s) = -2*s**4 - 2*s**3 - 6. Let k(w) = 6*b(w) + x(w). Let k(d) = 0. What is d?
-3, -1, 0
Let a(b) be the first derivative of -2/7*b**2 - 1/21*b**6 + 3/14*b**4 + 0*b + 2/21*b**3 - 2/35*b**5 - 3. Suppose a(c) = 0. What is c?
-2, -1, 0, 1
Factor 0 - 4/3*o - 2/3*o**2.
-2*o*(o + 2)/3
Let z(o) = -5*o**4 - 31*o**3 + 44*o**2 - 4*o. Let h(g) = -20*g**4 - 125*g**3 + 175*g**2 - 15*g. Let d(s) = -4*h(s) + 15*z(s). Factor d(l).
5*l**2*(l - 1)*(l + 8)
Let j(d) be the third derivative of 1/48*d**4 + 0*d**3 + 0 + 1/240*d**6 + 3*d**2 - 1/60*d**5 + 0*d. Factor j(c).
c*(c - 1)**2/2
Factor 13*n**2 + 6*n**2 - 5*n**2 + 16*n + 2*n**2 + 4*n**3.
4*n*(n + 2)**2
Let s(t) = 19*t**4 - 4*t**3 - 5*t**2 - 3*t + 7. Let f(b) = 9*b**4 - 2*b**3 - 3*b**2 - b + 3. Let m(k) = 7*f(k) - 3*s(k). Factor m(h).
2*h*(h - 1)*(h + 1)*(3*h - 1)
Let k(b) = -3*b**5 - 12*b**4 + 8*b**3 + 15*b**2 - 5*b - 3. Let c(f) = 2*f**5 + 6*f**4 - 4*f**3 - 8*f**2 + 2*f + 2. Let z(u) = 7*c(u) + 4*k(u). Factor z(t).
2*(t - 1)**4*(t + 1)
Suppose -2 = -v - 4. Let s(i) = -6*i**4 + 7*i**3 - 3*i**2 + 2. Let f(q) = -q - 4*q**4 + 3*q**4 + 2*q. Let k(d) = v*s(d) + 6*f(d). Find r such that k(r) = 0.
-2/3, 1
Let r = 576/7 + -82. Let f = 110/483 - -4/69. Let 0*t**4 + 0 + f*t**5 + 0*t**2 - 4/7*t**3 + r*t = 0. What is t?
-1, 0, 1
Suppose -4*i = -5*u + 2 + 70, 5*i = -15. Let y = u - 8. Let -14*l**3 - 2*l**5 + 1/2 + 11*l**2 - 4*l + 17/2*l**y = 0. What is l?
1/4, 1
Suppose 0*t + 2*t + 4*z = 14, -3*z = -2*t. Let m(v) be the second derivative of -1/3*v**t + 1/15*v**6 + 0 + 1/10*v**5 - 1/6*v**4 + 0*v**2 + 2*v. Factor m(p).
2*p*(p - 1)*(p + 1)**2
Let i be (-4 + (-136)/(-36))*-6. Let a(t) be the first derivative of -2/15*t**5 - i*t**2 - 8/3*t + 1/3*t**4 + 3 + 2/3*t**3. Suppose a(v) = 0. What is v?
-1, 2
Factor 9*z**3 + 0*z**4 - 9*z**2 - 3*z + 0*z + 6*z - 3*z**4.
-3*z*(z - 1)**3
Let v = 368 + -365. Factor 0 + 0*z**2 + 2/7*z**v - 2/7*z.
2*z*(z - 1)*(z + 1)/7
Suppose 5*c - b = 18, 7*c - 2*c = -3*b + 26. Let -c - 8*h - 9*h**2 - 9*h**2 + 14*h**2 = 0. Calculate h.
-1
Let z = 899/42 + 69/14. Let c = -26 + z. Factor g**2 + c*g + g**3 + 0 + 1/3*g**4.
g*(g + 1)**3/3
Let 3*t**2 + 7*t**3 - 2*t**2 + 15*t - 12*t**3 + 9*t**2 = 0. Calculate t.
-1, 0, 3
Let i(v) be the first derivative of -10*v**6/3 - 12*v**5/5 + 7*v**4 + 4*v**3 - 4*v**2 + 13. Let i(u) = 0. Calculate u.
-1, 0, 2/5, 1
Let b(j) be the first derivative of 16/5*j**5 + 8*j**4 + 13/2*j**2 + 10*j**3 - 2 + 1/2*j**6 + 2*j. Find o such that b(o) = 0.
-2, -1, -1/3
Let 15*c**3 - 5*c**2 - 5*c**2 - 10*c**3 - 5*c**5 + 10*c**4 = 0. What is c?
-1, 0, 1, 2
Let z = 989/5 - 196. Factor 0 + 3/5*g**5 + z*g**3 + 9/5*g**4 + 0*g + 3/5*g**2.
3*g**2*(g + 1)**3/5
Let x(v) be the first derivative of -v**4/4 - 2*v**3/3 + 3*v**2/2 + 29. Suppose x(g) = 0. Calculate g.
-3, 0, 1
Let v(s) be the second derivative of -s**4/16 - 3*s**3/8 - 16*s. Factor v(o).
-3*o*(o + 3)/4
Let t(s) be the first derivative of -1 - 5/36*s**4 + 0*s**2 - 2*s - 1/6*s**3. Let d(q) be the first derivative of t(q). Factor d(p).
-p*(5*p + 3)/3
Let n(o) = o**3 + 7*o**2 - 9*o - 6. Let b be n(-8). Let v = 2 - 2. Suppose y**2 - 2*y**4 + v*y**4 - 2*y**5 - y**b = 0. Calculate y.
-1, 0
Let g = -113/2 - -795/14. Factor 4/7*v**2 + 0 + 2/7*v + g*v**3.
2*v*(v + 1)**2/7
Let f = 457 + -457. Factor -2/3*l**5 + f*l - 2*l**3 + 0 + 2/3*l**2 + 2*l**4.
-2*l**2*(l - 1)**3/3
Let g = 3 - 1. Suppose -4 - g = -2*d. Factor 3*h**5 - 3*h + 2*h**d + 0*h**5 + 2*h - 4*h**5.
-h*(h - 1)**2*(h + 1)**2
Let r be 6/(-4)*(-8)/(-6). Let z = 2 + r. Determine t so that 1/5*t**2 + z + 0*t + 1/5*t**3 = 0.
-1, 0
Let i(j) be the third derivative of j**2 + j**3 - 7/40*j**6 + 0*j + 0 - 1/10*j**5 + 7/8*j**4. Determine v so that i(v) = 0.
-1, -2/7, 1
Let u be 2/10 + (-748)/(-1360). Find f such that u*f**2 - 1/2*f + 0 + 1/4*f**3 + 1/4*f**5 - 3/4*f**4 = 0.
-1, 0, 1, 2
Let l be (6 + 1 + -4)*1. Let x(f) be the second derivative of -1/84*f**7 + 0*f**2 + 0*f**5 + 0 + 2*f + 0*f**l + 0*f**6 + 0*f**4. Factor x(d).
-d**5/2
What is w in 14*w**5 - 570*w - 5*w**5 + 48*w**4 + 64*w**2 + 88*w**3 + 586*w = 0?
-2, -2/3, 0
Let j(x) be the second derivative of 2/35*x**7 - 1/10*x**3 - 9/100*x**5 + 2*x + 0*x**2 + 0 - 1/10*x**6 + 1/4*x**4. Find n, given that j(n) = 0.
-1, 0, 1/4, 1
Factor -8*l**4 - 20*l**2 + 7*l**4 - 20*l + 7*l**3 - 2*l**3 + 6*l**4.
5*l*(l - 2)*(l + 1)*(l + 2)
Let b(q) = 2*q + 19. Let l(w) = w + 9. Let z(y) = -6*b(y) + 13*l(y). Let d be z(0). Solve 14*k + 28*k**4 - 12*k**d - 12*k**2 + 10 - 22*k**3 - 6 = 0.
-1/2, -2/7, 1
Let y = 6 - 4. Let p be (-1)/((-2)/(2 - -2)). Factor 3*d + 0*d**3 + d**3 - p*d + 2*d**y.
d*(d + 1)**2
Let t(l) be the first derivative of 2*l**5/45 + l**4/18 - 2*l**3/27 - l**2/9 - 24. Determine g, given that t(g) = 0.
-1, 0, 1
Let b(i) = -i**3 + 4*i**2. Let d be b(4). Factor -c**3 + 3*c**3 - 4 - 2*c + 0*c**3 + d + 4*c**2.
2*(c - 1)*(c + 1)*(c + 2)
Let r(s) be the third derivative of -s**7/420 - s**6/48 - 7*s**5/120 - s**4/16 - 23*s**2. Factor r(m).
-m*(m + 1)**2*(m + 3)/2
Let k(f) be the first derivative of -f**6/300 - 2*f**5/75 - f**4/12 - 2*f**3/15 + f**2 + 1. Let d(j) be the second derivative of k(j). Factor d(m).
-2*(m + 1)**2*(m + 2)/5
Let q(v) be the second derivative of v**7/360 - v**6/360 + v**4/4 - 2*v. Let o(m