+ 3)**2
Find y, given that -12/7*y**2 - 4/7 + 4/7*y**4 + 2/7*y**3 - 2*y = 0.
-1, -1/2, 2
Let y(t) be the third derivative of 5/336*t**8 + 0 + 1/24*t**6 + 0*t**3 + 1/4*t**5 - 5/12*t**4 - 1/14*t**7 + 0*t - 4*t**2. Factor y(o).
5*o*(o - 2)*(o - 1)**2*(o + 1)
Let r(o) be the third derivative of -o**8/1344 + o**7/252 + o**6/48 - 49*o**4/24 - 12*o**2. Let a(b) be the second derivative of r(b). Factor a(n).
-5*n*(n - 3)*(n + 1)
Let c(o) = 4*o**3 + 6*o**2 - 30*o - 32. Let h(j) = 44*j**3 + 68*j**2 - 328*j - 352. Let y(x) = 32*c(x) - 3*h(x). Factor y(u).
-4*(u - 2)*(u + 1)*(u + 4)
Let p(o) = 18 + 11*o**2 - 4*o**2 - o**2 + 7*o + 9*o. Let m(b) = -7*b**2 - 16*b - 19. Let w(r) = -2*m(r) - 3*p(r). Factor w(s).
-4*(s + 2)**2
Factor -20/11*g**2 + 2*g + 12/11.
-2*(2*g - 3)*(5*g + 2)/11
Suppose -p + 24 = 2*p. Find q, given that 19*q**4 - 8*q**2 - 34*q**4 - p*q**3 + 13*q**4 = 0.
-2, 0
Let n(p) be the second derivative of -p**4/90 + 14*p**3/15 - 147*p**2/5 + 2*p + 174. Factor n(s).
-2*(s - 21)**2/15
Let d be -5 - ((-15 - 257/(-28)) + (-1)/(-4)). Factor -3/7 - 1/7*a**2 - d*a.
-(a + 1)*(a + 3)/7
Find z, given that 6/13*z**5 - 2*z**4 - 8/13*z + 2/13*z**3 + 2*z**2 + 0 = 0.
-1, 0, 1/3, 1, 4
Let j be ((-1)/120*4)/(2/(-16)). Let t = 2/3 - j. Factor -16/5*y - 2/5*y**2 - 8/5 - t*y**5 + 2*y**3 + 2/5*y**4.
-2*(y - 2)**2*(y + 1)**3/5
Let g(j) be the third derivative of 0 + 0*j - 1/280*j**7 - 3/40*j**5 - 34*j**2 + 0*j**3 - 1/32*j**6 + 0*j**4. Factor g(k).
-3*k**2*(k + 2)*(k + 3)/4
Let l be 4 + (-2)/(-2) + (-12)/(-2). Let t(f) be the third derivative of -1/240*f**5 + 0 + 0*f - 1/12*f**3 + l*f**2 + 1/32*f**4. What is g in t(g) = 0?
1, 2
Factor -4*f**2 - 8*f**2 - 31*f**2 + 228*f + 15*f - 204 + 7*f**2 - 3*f**3.
-3*(f - 4)*(f - 1)*(f + 17)
Let h be (-22)/(-55) + 24/(-10). Let q be 0 - ((-9 - -6) + h + 2). Suppose 0 - 3/7*p**2 - 9/7*p**4 + 3/7*p**5 + 0*p + 9/7*p**q = 0. Calculate p.
0, 1
Find t, given that -35/2 - 115/4*t**2 + 165/4*t + 5/4*t**4 + 15/4*t**3 = 0.
-7, 1, 2
Suppose 2 - 1 = -3*w + 5*b, -4 = -2*b. Let z = 3 + w. Let -z*p**2 - p + 0*p**2 + 4*p = 0. Calculate p.
0, 1/2
Solve 10*h**4 - 295*h**5 - 10*h**2 + 297*h**5 - h**3 - h**3 = 0.
-5, -1, 0, 1
Determine x so that 37/9*x - 1/9*x**2 - 4 = 0.
1, 36
Let r(f) = f**3 - f**2 - f - 1. Let d be -4 - (-4)/(8/(-42)). Let k(u) = -15*u**4 + 15*u**3 + 40*u**2 + 25*u + 25. Let j(s) = d*r(s) - k(s). Factor j(z).
5*z**2*(z - 3)*(3*z + 1)
Let y(t) = 28*t**2 - 10*t - 6. Let a be y(3). Let q be -1 + 0 + 28*9/a. Determine f, given that -q*f**2 - 25/6 - 5/3*f = 0.
-5
Let c(m) = -357*m**3 - 2*m**2 + 2*m. Let a be c(2). Let q = a + 20100/7. Suppose 4/7*y - 120/7*y**5 + 0 + 2/7*y**4 + q*y**3 + 34/7*y**2 = 0. Calculate y.
-2/5, -1/3, -1/4, 0, 1
Let a(f) be the third derivative of f**8/504 - 13*f**7/630 + f**6/12 - 8*f**5/45 + 2*f**4/9 - f**3/6 + 79*f**2. Factor a(w).
(w - 3)*(w - 1)**3*(2*w - 1)/3
Let q(n) = -12*n**3 + 6*n**2 + 27*n + 9. Let t(p) = p**3 - p**2 - p - 1. Let h(u) = -q(u) - 9*t(u). Determine f, given that h(f) = 0.
-3, 0, 2
Factor -45*x**3 - 25*x**5 + 90*x**2 - 139*x**3 - 77*x**2 - 16*x + 120*x**4 + 83*x**2.
-x*(x - 2)**2*(5*x - 2)**2
Let n be 14 + -12 - 1/(2/(-2)). Solve 2*q**n + q + 4*q**2 + 2*q - q = 0.
-1, 0
Let z(g) = -3*g**3 - 3*g**2 - 2*g + 4. Let y = 14 - 9. Let d(o) = -o**3 - o + 1. Let w(r) = y*z(r) - 20*d(r). Factor w(l).
5*l*(l - 2)*(l - 1)
Let 97*u**3 + 24 + 92*u - u**3 + 406*u**4 - 374*u**4 + 4*u**5 + 136*u**2 = 0. What is u?
-3, -2, -1
Factor 0 - 3/5*u**3 + 9/5*u**2 + 6*u.
-3*u*(u - 5)*(u + 2)/5
Factor -4/5*y**2 + 2 + 1/5*y**3 - 7/5*y.
(y - 5)*(y - 1)*(y + 2)/5
Let x(w) = -23*w**3 + 15*w**2 + 6*w + 6. Let r(c) = 90*c**3 - 60*c**2 - 25*c - 25. Let y(i) = -6*r(i) - 25*x(i). Factor y(n).
5*n**2*(7*n - 3)
Let p(g) = -7*g**2 + 954*g - 75845. Let k(d) = -9*d**2 + 954*d - 75846. Let w(t) = 2*k(t) - 3*p(t). Determine i, given that w(i) = 0.
159
Suppose -5*n + 0*n - 28 = -4*s, 2*s + 16 = -5*n. Suppose s*m + 3*m + 2 = 4*t, 5*t - 15 = 0. Determine k, given that 3/4*k**m - 3/4 - 2*k = 0.
-1/3, 3
Suppose 2*a - 46 = -0*a. Factor 14 + w**3 + 36*w + a - 13 + 2*w**3 + 18*w**2.
3*(w + 2)**3
Suppose -3*r - 16 = -2*v + 21, -3*v + 5*r = -53. Let f be (0 - -3) + (-74)/v. Factor 2/13*t**4 + 2/13*t**5 - 2/13*t**3 + 0 - f*t**2 + 0*t.
2*t**2*(t - 1)*(t + 1)**2/13
Let x(l) be the second derivative of 0*l**2 - 13*l - 1/80*l**5 + 0 + 7/24*l**4 - 49/24*l**3. Factor x(t).
-t*(t - 7)**2/4
Let g be (-680)/(-630) - ((-10)/(-9))/5. Factor 3/7 + 0*s**3 + 3/7*s**4 + 0*s - g*s**2.
3*(s - 1)**2*(s + 1)**2/7
Let l(d) = -35*d**2 + 48*d**2 + 37 - 4*d**3 - 5*d + 5*d**3 + 30*d. Let m be l(-11). Suppose -14/3*c**2 - 46/3*c - m = 0. What is c?
-3, -2/7
Let b be (71*1)/1*21/21. Let d = b - 69. Let -1/2*r**d - 1/2*r + 0 + 1/2*r**4 + 1/2*r**3 = 0. Calculate r.
-1, 0, 1
Suppose 0 = b + 3, -3*b = 5*h - 121. Solve -7*v**5 + 10*v**2 - 1 - 28*v + h*v**3 - 7 + 9*v**3 - 2*v**4 = 0.
-2, -1, -2/7, 1, 2
Let q be (4 - 14) + 1666/68 - 13. Let q*y**3 - 1/6*y**4 + 22/3*y - 5*y**2 - 4 = 0. Calculate y.
2, 3
Let z(u) be the second derivative of -u**5/90 + 5*u**4/27 - 8*u**3/9 - u. Determine m, given that z(m) = 0.
0, 4, 6
Let d(t) be the second derivative of -t**4/42 + 2*t**3 - 63*t**2 - 105*t. Determine w, given that d(w) = 0.
21
Let h(o) be the third derivative of o**7/210 - o**6/360 - o**5/20 + o**4/8 - o**3/9 + o**2 - 130*o. What is q in h(q) = 0?
-2, 1/3, 1
Factor 2/9*o + 2/9 - 2/9*o**2 - 2/9*o**3.
-2*(o - 1)*(o + 1)**2/9
Let i be (69 + -6)/9 + -3. Let h(p) be the second derivative of 0 + 1/3*p**2 + 2/9*p**3 + 1/18*p**i + 3*p. Factor h(m).
2*(m + 1)**2/3
Let h(r) be the second derivative of 8*r - 1/16*r**2 + 0 + 1/96*r**4 + 1/160*r**5 - 1/48*r**3. Factor h(p).
(p - 1)*(p + 1)**2/8
Suppose -19 = -5*f - 2*m - 1, -2*f = 5*m - 3. Find p such that 9*p**3 - 6*p**f + 27*p**2 + p**5 - 9*p**4 + 2*p**5 = 0.
-1, 0, 3
Let v = -7515 - -7515. Determine w so that -14/3*w**2 - 2*w**3 + v + 2*w**4 + 2/3*w**5 + 4*w = 0.
-3, -2, 0, 1
Suppose -479*w**2 - 7*w**5 - 4*w - 30*w**4 + 232*w**2 - 43*w**3 + 223*w**2 = 0. What is w?
-2, -1, -2/7, 0
Let b(o) be the second derivative of -o**6/6 - 7*o**5/2 + 5*o**4/12 + 35*o**3/3 - o + 46. What is f in b(f) = 0?
-14, -1, 0, 1
Suppose 26*w + 3*p = 22*w + 12, 0 = -5*w + p - 4. Factor 15/2*u**4 + 5*u**3 + 0*u**2 + 5/2*u**5 + 0 + w*u.
5*u**3*(u + 1)*(u + 2)/2
Let m(d) = d**2 + d + 2. Let l be m(3). Suppose -12*f + 3*f + 45 = 0. Factor -8*i**4 + 4*i**2 + l*i**4 + 4*i**f - 10*i**4 - 4*i**3.
4*i**2*(i - 1)**2*(i + 1)
Suppose 107*r = 3 + 1067. Factor -55/2*x - 25/2*x**2 - r + 5*x**3.
5*(x - 4)*(x + 1)*(2*x + 1)/2
Let n(q) be the third derivative of -q**5/480 + q**4/64 + 5*q**3/24 + 36*q**2. Solve n(l) = 0.
-2, 5
Let u(r) be the second derivative of r**7/1260 - r**6/90 + r**4/12 - 11*r. Let x(a) be the third derivative of u(a). Factor x(v).
2*v*(v - 4)
Let y = 747 + -745. Let g(m) be the second derivative of -1/20*m**6 + 0 + 1/84*m**7 + 0*m**y + 1/40*m**5 - 11*m + 1/8*m**4 - 1/6*m**3. Solve g(s) = 0 for s.
-1, 0, 1, 2
Suppose 0 = 26*g - 35*g. Let k(q) be the second derivative of g + 1/6*q**4 + 16*q**2 + 8/3*q**3 + 3*q. Factor k(i).
2*(i + 4)**2
Let h = 55 - 60. Let d = h + 10. Suppose -36/7*n**4 + 0*n - 108/7*n**2 + 4/7*n**d + 108/7*n**3 + 0 = 0. Calculate n.
0, 3
Suppose -2*y = 29 - 33. Factor 7*s**3 - 3*s**3 - 4*s**y - 55*s + 115*s + 28 + 40*s**2.
4*(s + 1)**2*(s + 7)
Factor 28/9*s + 0 - 10/9*s**2 - 2/9*s**3.
-2*s*(s - 2)*(s + 7)/9
Let j = 11785/12 + -982. Let o(s) be the second derivative of 5/48*s**4 + 1/30*s**6 + 0 - 7*s + 0*s**2 - 11/80*s**5 + j*s**3. Suppose o(q) = 0. What is q?
-1/4, 0, 1, 2
Let c be (-4)/(-10) + (-28)/(-30). Let r(a) = 22*a**2 - 46*a + 7. Let d be r(2). Factor -c*v**2 - 2/3*v**d + 0 - 2/3*v.
-2*v*(v + 1)**2/3
Let z be (175/500 + (-4)/(-16))/(3/8). Factor -z - 2/5*m**2 - 2*m.
-2*(m + 1)*(m + 4)/5
Let r(s) be the third derivative of -s**8/784 + 13*s**7/98 + 33*s**6/140 - 247*s**2. Let r(k) = 0. What is k?
-1, 0, 66
Let b = -6251 + 6254. Suppose -18*v**2 + 0 - 18*v**4 + 89/2*v**b + 2*v = 0. What is v?
0, 2/9, 1/4, 2
Let x(v) = v - 15. Let i be x(19). Let q(b) be the first derivative of 3*b - 3/4*b**i - 5 - 9/2*b**2 + 3*b**3. Factor q(r).
-3*(r - 1)**3
Factor -48/5 - 4/5*l**3 + 4/5*l**2 + 32/5*l.
-4*(l - 2)**2*(l + 3)/5
Let u(r) be the seco