/3 + 5408*a**2 - 282. Factor d(b).
4*b*(b - 52)**2
Let w = 465/2 - 232. Let r(d) be the first derivative of 0*d + 5/12*d**4 - 1/15*d**5 + 9 - 7/9*d**3 + w*d**2. Factor r(x).
-x*(x - 3)*(x - 1)**2/3
Suppose -5*m + 3*z + 21 = 0, -4*m + 22 = -z - 4*z. Determine k, given that -149*k**3 - 143*k**3 + 3*k**2 - 4 + 293*k**m = 0.
-2, 1
Let n(j) be the first derivative of j**9/10584 - j**7/2940 - j**3 + 9. Let t(p) be the third derivative of n(p). Factor t(a).
2*a**3*(a - 1)*(a + 1)/7
Let k(n) = -n**3 - 13*n**2 - 42*n - 13. Let g be k(-8). Let j(x) be the third derivative of -2/3*x**g + 0 - 1/30*x**5 + 4*x**2 + 0*x - 1/4*x**4. Factor j(d).
-2*(d + 1)*(d + 2)
Let d(l) be the third derivative of -l**5/12 + 65*l**4/2 - 5070*l**3 - 438*l**2. Factor d(b).
-5*(b - 78)**2
Let v(i) be the third derivative of i**7/1470 - 2*i**6/315 + i**5/42 - i**4/21 + 4*i**3/3 - 9*i**2. Let y(a) be the first derivative of v(a). Factor y(x).
4*(x - 2)*(x - 1)**2/7
Let c be (180/(-14) - -12)*-14*2/54. Determine g, given that -c*g**2 + 2/9*g + 4/9 - 2/9*g**3 = 0.
-2, -1, 1
Suppose -p - 92 = 3*p. Let a = p + 33. Suppose -10*c**3 - 2*c + 32*c**2 - 6*c - 24*c**3 + a*c**4 = 0. Calculate c.
0, 2/5, 1, 2
Factor 2*i**2 + 30*i + 225/2.
(2*i + 15)**2/2
Let c(g) = -g**3 + 10*g**2 + 44*g - 63. Let t be c(13). Determine o, given that 128/3 - 14/3*o**t + 1/3*o**3 + 32/3*o = 0.
-2, 8
Suppose 3*z = 2*c - 48 + 8, -2*c = z + 16. Let j = -10 - z. Solve -j*y**4 + 2*y**3 - 3*y**4 + 8*y**4 + y**2 = 0.
-1, 0
Suppose -15*n = -3*n + 6*n. Factor n*m - 2/11 + 2/11*m**2.
2*(m - 1)*(m + 1)/11
Suppose 0 - 2/19*a**2 + 2/19*a = 0. Calculate a.
0, 1
Let r = -989/7 - -992/7. Factor -r - 18/7*y - 27/7*y**2.
-3*(3*y + 1)**2/7
Let b = -54 + 54. Suppose b = -3*o + 11*o. Solve -1/3*i + o + 1/3*i**2 = 0.
0, 1
Factor 26*d**2 - 86*d**2 - 169932 + 57*d**2 - 1428*d.
-3*(d + 238)**2
Let h(c) be the second derivative of -c**5/5 - 7*c**4/3 - 8*c**3/3 + 24*c**2 + 66*c. Factor h(b).
-4*(b - 1)*(b + 2)*(b + 6)
Let -7/2*t + 1 + 7/2*t**3 - t**2 = 0. Calculate t.
-1, 2/7, 1
Let u(q) = q**2 - 17*q - 33. Let n be u(15). Let w = -59 - n. Factor 1/3*a**2 - 2/3*a - 1/3*a**w + 0 + 2/3*a**3.
-a*(a - 2)*(a - 1)*(a + 1)/3
Let m(w) = -w**3 - w**2 - w + 1. Let u(b) = 5*b**3 - 108*b**2 - 4326*b - 54878. Let g(t) = 6*m(t) + u(t). Factor g(d).
-(d + 38)**3
Let s = -1691 - -1694. Factor 0 + a + 3/4*a**3 - 5/4*a**4 + s*a**2.
-a*(a - 2)*(a + 1)*(5*a + 2)/4
Let g be 50/30*(-11)/(220/(-8)). Suppose 0 - 11/3*z**3 + g*z - 14/3*z**4 + 5/3*z**2 = 0. What is z?
-1, -2/7, 0, 1/2
Let a(m) = -2*m**5 - 15*m**4 - 39*m**3 - 44*m**2 - 9*m + 9. Let l(w) = w**5 + w**4 - w**3 - 2*w - 3. Let o(t) = -2*a(t) - 6*l(t). Find j such that o(j) = 0.
-1, 0, 15
Let j(v) be the second derivative of v**6/1440 - v**4/24 - 29*v**3/6 - 11*v. Let t(g) be the second derivative of j(g). Factor t(n).
(n - 2)*(n + 2)/4
Suppose 16*o = 14*o + 3686. Factor -1831*m + 16*m**2 + 6*m**3 + o*m - 2*m**3.
4*m*(m + 1)*(m + 3)
Let s = -55/6 - -23/2. Factor 5/3*v**4 + 0*v + s*v**3 + 2/3*v**2 + 0.
v**2*(v + 1)*(5*v + 2)/3
Suppose -2*r + 5*j = 80, -2*r - 128 = 2*r - 2*j. Let b = r + 33. What is d in 1/3*d**4 + 0 + 0*d**b + 0*d - 1/3*d**2 = 0?
-1, 0, 1
Let d(m) be the second derivative of -m**7/294 - 11*m**6/105 - 37*m**5/140 + 16*m**4/21 + 38*m**3/21 - 40*m**2/7 - 473*m. Find s, given that d(s) = 0.
-20, -2, 1
Suppose 5*p + 15 = 0, -18*p + 8*p = -5*f + 40. Suppose -1 - 1/4*t**f + 5/4*t = 0. What is t?
1, 4
Let a(x) = -7*x - 45. Let w be a(15). Let q = w - -150. Factor 2/3*c + 2/3*c**3 + q - 4/3*c**2.
2*c*(c - 1)**2/3
Let j = -1/105 - -317/210. Let i(x) be the first derivative of -7 + j*x**2 - x**3 + 6*x. Let i(n) = 0. What is n?
-1, 2
Let y(d) be the second derivative of -d**6/3 - 3*d**5/4 + 5*d**3/6 - 182*d + 1. Suppose y(a) = 0. What is a?
-1, 0, 1/2
Let l(k) be the second derivative of 0*k**2 - 6*k + 1/100*k**5 - 4/75*k**6 + 1/42*k**7 + 0 + 0*k**3 + 1/30*k**4. Factor l(n).
n**2*(n - 1)**2*(5*n + 2)/5
Let j(n) = 4*n**4 + 44*n**3 - 156*n**2 + 48*n + 252. Let d(t) = -2*t**4 + t**3 + t**2. Let y(u) = 4*d(u) + j(u). Factor y(q).
-4*(q - 7)*(q - 3)**2*(q + 1)
Let f(z) = 5*z**3 - 11*z - 3. Let g(a) = 35*a**3 - 75*a - 20. Let h(q) = 20*f(q) - 3*g(q). Solve h(w) = 0.
-1, 0, 1
Let w = -41 + 41. Let g = 1289/7 + -184. Factor 0 + g*r**5 + 0*r**3 - 1/7*r**4 + 0*r**2 + w*r.
r**4*(r - 1)/7
Let x be 0 - 4/(8 + -4). Let m be 3 + (-1)/((-8)/18)*x. Determine l, given that -9/4*l - 3/2 - m*l**2 = 0.
-2, -1
Let g(j) = j**2 - 6*j + 9. Let d be g(6). Suppose 6*c**5 - 90*c**2 + 10*c - 5 + 110*c**3 - 65*c**4 + d*c**5 + 25*c = 0. What is c?
1/3, 1
Let d(r) be the second derivative of 27*r + 0*r**4 + 0*r**2 + 0 + 1/3*r**3 - 1/10*r**5. Factor d(w).
-2*w*(w - 1)*(w + 1)
Let g(v) be the second derivative of -14*v - 1/6*v**3 + 0 - 1/4*v**2 + 1/8*v**4. Solve g(d) = 0.
-1/3, 1
Let h = 55 + -51. Determine x, given that -4*x**2 + 0*x**3 - 20*x**3 + 9*x**2 + 11*x**2 + 16*x - 12*x**h = 0.
-2, -2/3, 0, 1
Let j(i) be the second derivative of -i**7/84 + i**5/10 - i**4/12 - i**3/4 + i**2/2 - 9*i + 2. Factor j(y).
-(y - 1)**3*(y + 1)*(y + 2)/2
Let z = 1225 + -1225. Let w(m) be the first derivative of -2/21*m**3 - 3/7*m**2 - 4 + z*m. Factor w(q).
-2*q*(q + 3)/7
Suppose -24 = -13*h + 11*h + 2*j, -4*j = 36. Suppose -8/5*p**2 + 6/5*p**4 + 0*p + 0 + 0*p**h - 2/5*p**5 = 0. What is p?
-1, 0, 2
Let v(i) be the first derivative of -29 + 24/25*i**5 - 8/15*i**3 - 3/5*i**4 + 3/5*i**2 - 1/3*i**6 + 0*i. Let v(w) = 0. What is w?
-3/5, 0, 1
Let w(q) = q**3 + 2*q**2 + q + 4. Let v(o) = 2*o**3 + 3*o**2 + 5. Let f = 14 - 12. Let k(n) = f*v(n) - 3*w(n). Determine x so that k(x) = 0.
-1, 2
Let h(y) be the second derivative of y**6/540 - y**5/45 + 3*y**3 - 5*y. Let o(z) be the second derivative of h(z). Suppose o(g) = 0. Calculate g.
0, 4
Suppose -k**2 - 2*k**5 + 0*k**5 - 16*k**3 + 8*k**2 + 5*k**2 - 3*k**5 - 33*k**4 = 0. Calculate k.
-6, -1, 0, 2/5
Let l be (-800)/(-48) + -10 + (-3 - (5 + -2)). Let -l*o**2 - 2 + 8/3*o = 0. What is o?
1, 3
Let g be (2 - 5) + (30/6 - 0). Let l be -1 - (39/7)/(-3). Determine u so that -l*u + 4/7 + 2/7*u**g = 0.
1, 2
Let j be 12*(-5 - (-224)/42). Factor 0 + 2/15*i**3 + 2/15*i**j + 0*i + 0*i**2.
2*i**3*(i + 1)/15
Let j(w) be the first derivative of 5/3*w**3 + 10*w - 15 + 15/2*w**2. Suppose j(p) = 0. What is p?
-2, -1
Let q be 2*((-3)/(-12) + 0). Let h be (0/(-15))/(1*-2) - 0. Let h + q*t - 2*t**2 = 0. Calculate t.
0, 1/4
Let q(a) be the second derivative of 0 + 2/27*a**3 - 4/9*a**2 + 9*a + 1/27*a**4. Factor q(g).
4*(g - 1)*(g + 2)/9
Let g = 15 + -13. Let i be (8 - 14)*g/(-6). Let 0*r + r**4 + 6*r - 6*r**3 - 5 + 2*r**4 + i = 0. Calculate r.
-1, 1
Let y = 271/29 + -1326/145. Factor -3/5 - 2/5*n + y*n**2.
(n - 3)*(n + 1)/5
Let y(s) = s**2 - 12*s - 42. Let d be y(15). Let r(t) be the third derivative of 0 - 2*t**2 + 1/18*t**4 + 1/270*t**5 + 1/3*t**d + 0*t. Factor r(w).
2*(w + 3)**2/9
Let g(z) be the second derivative of -z**6/60 + 3*z**5/20 - z**4/2 + 5*z**3/6 - 3*z**2/4 + z + 39. Factor g(t).
-(t - 3)*(t - 1)**3/2
Suppose 0 = -3*j + 2*q - 7*q + 129, -86 = -2*j - 5*q. Factor g**2 - 20*g - 3*g**3 + j*g + g**4 + 2*g**2 - 24*g.
g*(g - 1)**3
Let t(a) = -a**2 + 13*a + 8. Let p(h) = 12*h + 6. Let k(z) = 4*p(z) - 3*t(z). Factor k(n).
3*n*(n + 3)
Let t(z) = 5*z**4 + 17*z**3 + 23*z**2 - 117*z + 72. Let o(k) = -11*k**4 - 33*k**3 - 45*k**2 + 233*k - 144. Let x(g) = 6*o(g) + 14*t(g). What is s in x(s) = 0?
-6, 1
Suppose 0 = -14*t - 13*t + 54. Let n be 1 - (-5)/((-10)/(-4)). Determine g, given that -1 + t*g + g**4 + 0*g + 9*g**n - 11*g**3 = 0.
-1, 1
Determine r so that 14195 - 9126*r - 2*r**3 + 104443 - 134799*r**2 + 135033*r**2 = 0.
39
Let n(w) be the third derivative of 1/12*w**6 + 0*w**3 + 0 + 0*w**5 - 1/105*w**7 + 0*w**4 + 0*w - 45*w**2. Factor n(x).
-2*x**3*(x - 5)
Let k(h) be the first derivative of h**4/2 + 6*h**3 - 48*h**2 + 104*h + 371. Factor k(x).
2*(x - 2)**2*(x + 13)
Let g(q) be the third derivative of -q**7/300 - 4*q**6/225 - 11*q**5/300 - q**4/30 - 3*q**3/2 - 9*q**2. Let h(k) be the first derivative of g(k). Factor h(z).
-2*(z + 1)**2*(7*z + 2)/5
Suppose 3*j = r + 10, r - 35 = -3*j - 3*r. Suppose 0 = 2*b - 4*u - 24, u - 3*u = j*b. What is d in -4/11*d - 6/11 + 2/11*d**b = 0?
-1, 3
Let z(q) = q**3 - q**2 - q - 1. Let s(l) = l**