= -4*k - 3*z. Let l be ((-52)/91)/(1/k). Factor -1/3*a**5 + 0 + a**3 + 0*a**l - 2/3*a**2 + 0*a.
-a**2*(a - 1)**2*(a + 2)/3
Factor -69/4*g**2 - 33/4*g + 0 - 3/4*g**4 - 39/4*g**3.
-3*g*(g + 1)**2*(g + 11)/4
What is w in 0 + 0*w - 1/3*w**4 + 5/3*w**3 - 4/3*w**2 = 0?
0, 1, 4
Let a(o) be the second derivative of -o**5/240 + 5*o**4/96 - o**3/6 - 8*o**2 + 27*o. Let g(b) be the first derivative of a(b). Factor g(u).
-(u - 4)*(u - 1)/4
Factor 58/9*f**2 + 0 - 1/9*f**4 + 0*f - 3*f**3.
-f**2*(f - 2)*(f + 29)/9
Let w = -49 + 53. Suppose 29*q - w = 28*q. Factor 0*c**2 + 0*c + 15/2*c**q + 0 - 3*c**3.
3*c**3*(5*c - 2)/2
Factor 316*f**2 + 4*f - 159*f**2 - 4*f**5 - 165*f**2 + 8*f**4.
-4*f*(f - 1)**3*(f + 1)
Let h(y) = -2*y**5 + 5*y**4 + 19*y**3 - 21*y**2 + 3. Let x(w) = -2*w**5 + 4*w**4 + 18*w**3 - 22*w**2 + 2. Let k(z) = 4*h(z) - 6*x(z). Factor k(f).
4*f**2*(f - 2)**2*(f + 3)
Let l be (0/3)/(-42 - -43). Let r(d) be the first derivative of -1/3*d**3 - 1 + 0*d**2 + 1/4*d**4 + l*d. Let r(j) = 0. What is j?
0, 1
Let q(p) be the first derivative of 3*p**4/16 - 11*p**3/4 - 3*p**2/8 + 33*p/4 - 73. Factor q(l).
3*(l - 11)*(l - 1)*(l + 1)/4
Let t(l) be the first derivative of -l**4/21 + 4*l**3/7 - 10*l**2/7 - l - 8. Let r(m) be the first derivative of t(m). Solve r(y) = 0.
1, 5
Let u(k) be the first derivative of k**6/3 - 8*k**5/5 + 2*k**4 + 4*k**3/3 - 5*k**2 + 4*k - 150. Factor u(q).
2*(q - 2)*(q - 1)**3*(q + 1)
Let t(n) = 9*n**3 - 23*n**2 - 29*n - 19. Let m(i) = 5*i**3 - 12*i**2 - 15*i - 10. Let w be (-287)/49 + 2/(-14). Let x(v) = w*t(v) + 11*m(v). Factor x(o).
(o + 1)**2*(o + 4)
Let j be 6/4*(-8)/(-15). Let l = -11148 + 11150. Factor 0 + 0*u + j*u**l.
4*u**2/5
Let j be -1 - (14/(-35)*-15 + 46/(-6)). Factor -4/15*u + j*u**3 - 2/5*u**2 + 0.
2*u*(u - 1)*(5*u + 2)/15
Factor -8 + n - 7*n**2 + 8*n - 3*n + 6*n**2.
-(n - 4)*(n - 2)
Let b be 17/((-595)/(-19350)) + -1. Let o = -551 + b. Factor -3/7 - 3/7*q**2 + o*q.
-3*(q - 1)**2/7
Let q(r) be the second derivative of -3 + 5*r - 1/21*r**2 + 0*r**3 + 1/126*r**4. Factor q(i).
2*(i - 1)*(i + 1)/21
Let z(v) be the second derivative of v**5/90 - v**4/18 - v**3/27 + v**2/3 - 55*v. Factor z(f).
2*(f - 3)*(f - 1)*(f + 1)/9
Suppose 0 = -13*i + 1 + 25. Let g = 7/68 - -11/17. Factor g*d**i - 3/4 + 0*d.
3*(d - 1)*(d + 1)/4
Let s(b) = -27*b**2 - 414*b - 713. Let k(f) = -8*f**2 - 136*f - 238. Let a(j) = 14*k(j) - 4*s(j). Find d, given that a(d) = 0.
-60, -2
Suppose -510 = 5*v + 3*r - 522, 0 = 2*v + r - 4. Let v*p - 5/3*p**5 - 10/3*p**2 - 20/3*p**4 + 0 - 25/3*p**3 = 0. Calculate p.
-2, -1, 0
Suppose -4*b + 10 = -2. Let v be 0 + (-8)/(-3) + (b - 4). Suppose -2/3 - g**4 + 1/3*g**3 + v*g**2 - 1/3*g = 0. What is g?
-1, -2/3, 1
Let k be ((-40)/(-32))/((-2)/(-8)). Suppose x + 0 = k*v - 2, 0 = 5*x + 10. Factor -4*o**3 + v*o**2 + 65*o + 8*o**2 - 69*o.
-4*o*(o - 1)**2
Let g(o) = -7*o**2 + 27*o - 26. Let c be g(8). Let y = 261 + c. Determine n, given that 15/2*n**2 + 3/2*n**4 - 6*n**y - 3*n + 0 = 0.
0, 1, 2
Suppose 5*t = 3*n - 0*n - 9, 0 = -2*t. Determine i, given that n*i**4 + 84*i**5 - 4*i**2 - 45*i**5 - 38*i**5 = 0.
-2, 0, 1
Let a(c) = c**3 - 5*c**2 + 8*c - 10. Let n be a(4). Let p(x) be the third derivative of 0*x + 0*x**4 - 2*x**2 + 0 + 1/240*x**n + 0*x**3 + 0*x**5. Factor p(i).
i**3/2
Let y(c) = 8*c**2 + 19*c + 41. Let g(l) = l**2 + l + 2. Let a(j) = -14*g(j) + 2*y(j). Let a(z) = 0. What is z?
-9, -3
Let w = -5 + -13. Let b = w + 24. Let -b*h + 8*h**4 + h**5 + 8*h**3 - 4 - 4*h - 4*h**2 - h**5 + 2*h**5 = 0. Calculate h.
-2, -1, 1
Let q(c) be the third derivative of -3*c**6/16 + 19*c**5/12 - 55*c**4/12 + 10*c**3/3 - 242*c**2. Solve q(b) = 0.
2/9, 2
Factor -241823*p + 241826*p + p**2 + 168 - 4*p**2.
-3*(p - 8)*(p + 7)
Let r = 8411/25 - 1682/5. Let m(d) be the third derivative of 13/75*d**5 + 0 + 8/15*d**3 - 2*d**2 + r*d**6 + 2/525*d**7 + 0*d + 2/5*d**4. Factor m(p).
4*(p + 1)**2*(p + 2)**2/5
Let c(q) be the third derivative of -q**8/1176 - q**7/735 + q**6/420 + q**5/210 + q**2 + 2. Solve c(n) = 0.
-1, 0, 1
Let d(t) be the first derivative of t**5 + 25*t**4/4 + 20*t**3/3 - 33. Determine r so that d(r) = 0.
-4, -1, 0
Let r be 52/(-91) - 188/(-574). Let w = 194/123 + r. Factor 0*h + 0 + 2/3*h**3 + 0*h**2 + 2/3*h**5 + w*h**4.
2*h**3*(h + 1)**2/3
Let o(k) be the first derivative of 11*k**3/9 - 119*k**2/6 - 22*k/3 + 201. Factor o(x).
(x - 11)*(11*x + 2)/3
Let k(f) be the second derivative of 595*f**4/66 + 199*f**3/11 + 2*f**2/11 + 965*f. Factor k(v).
2*(v + 1)*(595*v + 2)/11
Let i(h) = 8*h + 10*h + 192 - 146 - 119 - h**2. Let a be i(7). Factor 8*s**4 - 7/2*s**2 + 0 - 1/2*s - a*s**3.
s*(s - 1)*(4*s + 1)**2/2
Factor -18 + j**3 - 4*j**2 - j**3 + 15*j - 3*j**3 + 10*j**2.
-3*(j - 3)*(j - 1)*(j + 2)
Let o(l) = -l**3 - 27*l**2 - 153*l - 17. Let f be o(-19). Suppose 0 + 6/7*g**f + 0*g - 9/7*g**3 + 3/7*g**4 = 0. Calculate g.
0, 1, 2
Let n(z) be the first derivative of -z**8/336 - z**7/84 + z**6/72 + z**5/12 + 4*z**3 + 8. Let r(o) be the third derivative of n(o). Factor r(v).
-5*v*(v - 1)*(v + 1)*(v + 2)
Factor 96/5 - 44/5*l - 2/5*l**2.
-2*(l - 2)*(l + 24)/5
Let m(u) be the second derivative of 5*u**7/7 + 33*u**6/10 + 6*u**5 + 21*u**4/4 + 2*u**3 + 5*u + 33. Let m(p) = 0. Calculate p.
-1, -4/5, -1/2, 0
Let k be 150/180*(-1 + 13/5). Let s be 6/12 - (-2)/12. Factor k*v - 2/3*v**2 - s.
-2*(v - 1)**2/3
Let s(m) = -5*m**5 + 3*m**4 + 3*m**3 - 5*m**2. Let j(q) = q**5 + q**2. Let d(o) = -2*j(o) - s(o). Factor d(r).
3*r**2*(r - 1)**2*(r + 1)
Let j(t) be the third derivative of -t**5/12 + 5*t**4/24 + 35*t**3 + t**2 + 11. Suppose j(l) = 0. Calculate l.
-6, 7
Let d = 2/5415 + 5399/43320. Let h(r) be the second derivative of 1/24*r**4 + 0 - 1/4*r**2 + 10*r + 3/80*r**5 - d*r**3. Factor h(g).
(g - 1)*(g + 1)*(3*g + 2)/4
Let t(u) = -4*u**3 - 12*u**2 - 18*u - 2. Suppose 4*m + 5*y = y - 20, -5*m + y - 7 = 0. Let q(p) = -p**3 - 1. Let a(b) = m*q(b) + t(b). Factor a(o).
-2*o*(o + 3)**2
Suppose 12 = 2*h + 10. Let p be -3 + 102/22*h. Let -2/11*i**2 - 12/11*i - p = 0. What is i?
-3
Let k(p) = p**3 - p**2 + p + 1. Let c(x) = -x**4 + 3*x**3 + 2*x**2 - 2*x + 2. Let v = -68 + 62. Let i(g) = v*k(g) + 3*c(g). Factor i(l).
-3*l*(l - 2)*(l - 1)*(l + 2)
Let k(u) be the first derivative of -u**4/12 + u**3/3 - 46. Factor k(a).
-a**2*(a - 3)/3
Suppose 1309 = 4*s + 1301. Let k(c) be the first derivative of -1/3*c**s + 32/27*c**3 - 4/9*c - 5/6*c**4 + 8/45*c**5 + 9. Solve k(f) = 0.
-1/4, 1, 2
Suppose -4*a = -8, t - 2*a + 9 = 25. Determine b, given that -b**4 - 5*b**4 + 20*b**2 - 283*b**3 + 298*b**3 - 5*b**5 - t*b - 4*b**4 = 0.
-2, 0, 1
Let p(j) = 149*j + 302. Let v be p(-2). Solve 5/2*d**2 - 2 + v*d = 0.
-2, 2/5
Suppose 52/9 + 160/9*n + 4/3*n**2 = 0. Calculate n.
-13, -1/3
Let r(z) = z. Let s(o) = -o**2 + 8*o - 9. Let k(q) = -2*r(q) - s(q). Let j = 33 - 30. Let x(g) = -3*g + 3. Let t(b) = j*k(b) - 8*x(b). Factor t(c).
3*(c - 1)**2
Let z(p) be the third derivative of p**7/630 + p**6/72 - p**5/60 - 13*p**4/72 + 5*p**3/9 - 158*p**2. Factor z(a).
(a - 1)**2*(a + 2)*(a + 5)/3
Let w(n) = n**3 + 5*n**2 - 66*n - 268. Let y be w(-9). Factor 0 - 1/4*s**4 + 3/4*s**3 + 1/2*s + 5/4*s**y - 1/4*s**5.
-s*(s - 2)*(s + 1)**3/4
Factor -33/2*x**2 + 3/4*x**3 + 57*x - 54.
3*(x - 18)*(x - 2)**2/4
Let z = -48 - -50. Find i such that -13*i**2 + 7*i**2 + 3*i**2 + 1 + 2*i**z = 0.
-1, 1
Determine a, given that 0 + 3/7*a**5 - 6*a**4 + 144/7*a**3 + 6*a**2 - 21*a = 0.
-1, 0, 1, 7
Let u(x) be the second derivative of -1/90*x**6 + 0 + 0*x**2 + 1/3*x**4 - 2*x - 1/3*x**3 + 1/30*x**5. Let a(c) be the second derivative of u(c). Factor a(s).
-4*(s - 2)*(s + 1)
Let o be (4 - 870/(-20)) + -23. Find v, given that o*v - 133/2*v**2 - 41/2*v**3 - 3/2*v**4 + 0 = 0.
-7, 0, 1/3
Let a = 1/30 - -7/30. Let s(u) be the third derivative of 0 - 5*u**2 - 1/150*u**5 + 0*u - a*u**3 + 1/15*u**4. Solve s(g) = 0.
2
Let g(w) be the third derivative of 5*w**2 + 0*w**3 + 1/135*w**5 + 0*w + 0 - 1/540*w**6 + 0*w**4. Factor g(y).
-2*y**2*(y - 2)/9
Factor 2/9*u**2 + 6962/9 + 236/9*u.
2*(u + 59)**2/9
Let a(l) = -4*l**2 + 2*l. Let k(o) = -2*o**2 + o + 1. Let m(p) = -a(p) - k(p). Let g be m(1). Factor -4*v**g - 1/2*v**4 + 2*v + 5/2*v**3 + 0.
-v*(v - 2)**2*(v - 1)/2
Suppose -2*o - 3*z = -38 + 23, -2*o + 4*z = -36. Solve 3/4*l**2 - 6*l + o = 0 for l.
4
Let s(w) = 1