 - 1/8*f**4 - 26*f**2 + 0 + 0*f + 1/560*f**8 + 1/5*f**3. Factor o(j).
3*(j - 2)*(j - 1)**3*(j + 1)/5
Suppose -15*a - 41 + 56 = 0. Factor 5/4*l - 1/4*l**2 - a.
-(l - 4)*(l - 1)/4
Let w(x) = 2*x**3 - 22*x**2 + 7*x + 103. Let i(n) = 4*n**3 - 42*n**2 + 15*n + 205. Let u(y) = 6*i(y) - 10*w(y). Factor u(p).
4*(p - 5)**2*(p + 2)
Let j be (-60)/12 - 16/(320/(-105)). What is x in -3/2 - 7/4*x - j*x**2 = 0?
-6, -1
Suppose g = 6*g - 3*g. Factor 2/5*j**3 + 0*j**2 + g + 0*j + 1/5*j**4.
j**3*(j + 2)/5
Suppose r + 5*q = -3, 0 = -4*r - 2*q + 6. Factor 4 - 5*y**2 + 0*y**2 - r*y + 4*y**2 - y.
-(y - 1)*(y + 4)
Suppose 63*r = 66*r - 12. Let g(z) be the first derivative of 1/6*z**6 - 5 + 4*z**2 - r*z - 5/4*z**4 - 1/3*z**3 + 1/5*z**5. Factor g(a).
(a - 1)**3*(a + 2)**2
Let d be ((-4)/(-22))/((-90)/220*-4). Find k such that d*k**5 - 2/9*k**2 - 1/9*k + 0 + 0*k**3 + 2/9*k**4 = 0.
-1, 0, 1
Let -33*n**2 + 54 + 21647*n**4 + 108*n + 20*n**3 + 105*n**2 - 21645*n**4 = 0. Calculate n.
-3, -1
Let y be (-4)/((-112)/52 - (-2)/13). Let x(i) be the second derivative of 0*i**3 - y*i + 7/18*i**4 - 4/3*i**2 + 1/10*i**5 + 0. Find l such that x(l) = 0.
-2, -1, 2/3
Suppose -1/2*s**4 - 4*s + 4*s**3 + 8 - 15/2*s**2 = 0. Calculate s.
-1, 1, 4
Suppose 4*j = 6*j. Let h(i) = i**2 + 2*i + 4. Let v be h(j). Determine p so that -4 + 8*p**2 + p**v - 5*p**4 - 11*p**2 + 11*p**2 = 0.
-1, 1
Suppose t - 5*n = 26 - 1, -2*n = -5*t + 79. Suppose 4 - 26*v**3 - 2*v - 6*v**2 + t*v**3 + 13*v**3 + 2*v**4 = 0. What is v?
-2, -1, 1
Suppose -12 = -2*k + 5*q, 2 + 2 = -2*q. Let d be (7 + -6)*(1 + k). Factor 2/5*a**4 + 0 + 4/5*a - d*a**2 - 2/5*a**5 + 6/5*a**3.
-2*a*(a - 1)**3*(a + 2)/5
Let g(m) be the first derivative of -32/3*m**3 - 1/15*m**5 - 256/3*m + 4/3*m**4 + 128/3*m**2 - 5. Let g(d) = 0. What is d?
4
Suppose 116*b = 126*b. Let -6/5*y**4 + 0*y + b*y**2 + 0 - 2/5*y**5 - 4/5*y**3 = 0. What is y?
-2, -1, 0
Let l = 121 + -86. Suppose 0*n - 5*t + l = 5*n, n = -2*t + 11. Find s, given that 0*s**2 + 0 + 1/3*s**4 + 2/3*s**n + 0*s = 0.
-2, 0
Let k(w) be the first derivative of 1/20*w**4 + 0*w - 7 + 0*w**2 - 1/15*w**3. Determine z so that k(z) = 0.
0, 1
Let u = 18/7 + -123/56. Let v = 7/24 + u. Let 2/3*x - 4/9*x**3 + 4/9*x**2 + 2/9 - v*x**4 - 2/9*x**5 = 0. What is x?
-1, 1
Let x(w) be the third derivative of w**7/315 - 29*w**6/180 + 13*w**5/6 + 25*w**4/4 - 303*w**2 - 1. Factor x(f).
2*f*(f - 15)**2*(f + 1)/3
Let y(r) = -r + 2. Let q be y(-5). Suppose z - q = -2. Find k, given that -10*k**2 + k + k + 4*k**2 + z*k**2 = 0.
0, 2
Let s(o) be the first derivative of -o**5 - 45*o**4/4 - 65*o**3/3 + 225*o**2/2 + 250*o - 240. Factor s(w).
-5*(w - 2)*(w + 1)*(w + 5)**2
Suppose 0 = -50*z + 38*z. Factor 2/9*u**2 + z - 8/9*u.
2*u*(u - 4)/9
Let q(x) be the third derivative of x**5/90 + 11*x**4/6 + 121*x**3 - 228*x**2. Suppose q(y) = 0. What is y?
-33
Let o(g) = 2*g - 1. Let d be o(2). Let w = 7580/9 + -842. What is r in -w*r + 2/9*r**4 + 2/9*r**d - 2/9*r**2 + 0 = 0?
-1, 0, 1
Let k(j) be the first derivative of -3*j**2/2 + 48*j + 36. Let g be k(15). Factor 0 + 2/9*u - 2/9*u**g + 0*u**2.
-2*u*(u - 1)*(u + 1)/9
Let d(t) = -18*t**2 + 314*t + 223. Let s(j) = j**2 + 2*j - 1. Let o(c) = d(c) + 3*s(c). Factor o(v).
-5*(v - 22)*(3*v + 2)
Let u = 41 + -9. Let h = u + -22. Factor -a**5 - a**4 + 7*a**3 + 2*a**5 + h*a**2 - 9*a**2 - 8*a**3.
a**2*(a - 1)**2*(a + 1)
Let f be (-25)/5 + 230/6. Let s = -33 + f. Factor s*g**2 + 0*g - 1/3.
(g - 1)*(g + 1)/3
Factor w**4 - 152*w - 11*w**4 + 108*w**2 + 64 + 6*w**4 - 16*w**3.
-4*(w - 2)*(w - 1)**2*(w + 8)
Let m = 18 + -15. Suppose -f + 8 = -m*v - 9, -v = f + 3. What is n in 4 + 0 - 10*n - 5*n**f - 6 - 3 = 0?
-1
Let u(i) be the first derivative of -i**8/112 + 3*i**7/70 - i**6/20 + 11*i**2/2 - 37. Let n(w) be the second derivative of u(w). Factor n(c).
-3*c**3*(c - 2)*(c - 1)
Let y be (2 - (-11)/9) + 26/(-117). Suppose y*a - 4 = 2*t, -4*a - 2*t + 10 = -0. Factor 0*q**4 + 0*q - 1/3*q**3 + 1/3*q**5 + 0 + 0*q**a.
q**3*(q - 1)*(q + 1)/3
Let f be 209*6/(-54) + 25. Let h = 2815 + -25303/9. Factor -f*x + h + 2/9*x**2.
2*(x - 4)**2/9
Let r = -24 + 27. Let l(y) be the third derivative of 0*y + 0*y**4 - 5*y**2 - 1/60*y**6 + 0 + 0*y**5 + 0*y**r + 1/105*y**7. Solve l(i) = 0.
0, 1
Let y(d) be the first derivative of 2*d**5/5 - 3*d**4/2 - 26*d**3/3 + 51*d**2 - 72*d + 73. Solve y(l) = 0.
-4, 1, 3
Let r = 2501 - 7502/3. Let r*m**3 - 1/3*m + 1/6 + 0*m**2 - 1/6*m**4 = 0. Calculate m.
-1, 1
Let m(g) be the second derivative of -g**4/18 + 5*g**3/9 - 4*g**2/3 + 11*g - 4. Factor m(k).
-2*(k - 4)*(k - 1)/3
Let m(c) = -8*c**4 + 8*c**3 + 2*c**2 - 2*c. Let b(t) = t**5 - 41*t**4 + 40*t**3 + 11*t**2 - 11*t. Let y(f) = 2*b(f) - 11*m(f). Solve y(a) = 0.
-4, 0, 1
Let z(k) be the first derivative of -k**5/12 + 5*k**4/3 - 4*k**2 + 19. Let w(d) be the second derivative of z(d). Let w(q) = 0. Calculate q.
0, 8
Let p(g) = 9*g**3 + 149*g**2 + 1128*g + 984. Let u(s) = -17*s**3 - 297*s**2 - 2254*s - 1967. Let x(k) = 7*p(k) + 4*u(k). Determine n so that x(n) = 0.
-14, -1
Determine m, given that 6/5*m**2 + 22/15*m**3 - 4/15 + 4/5*m**5 - 38/15*m**4 - 2/3*m = 0.
-1/2, -1/3, 1, 2
Let i = 4750 - 4747. Solve 0 - 2/7*m**4 + 0*m**i + 6/7*m**2 - 4/7*m = 0.
-2, 0, 1
Let q(v) be the third derivative of v**7/210 - v**6/120 - v**5/60 + v**4/24 + 20*v**2. Find w such that q(w) = 0.
-1, 0, 1
Let r = 415 - 412. Let v(f) be the first derivative of -8/3*f**2 + 4/3*f + 7/9*f**r + 6. What is w in v(w) = 0?
2/7, 2
Let s(g) be the first derivative of g**4/8 - g**3/6 - g**2/2 - 54. Factor s(w).
w*(w - 2)*(w + 1)/2
Let r(d) = 15*d**2 - 472*d + 3848. Let h(s) = -10*s**2 + 315*s - 2565. Let y(t) = 8*h(t) + 5*r(t). Find a, given that y(a) = 0.
16
Let r(s) be the second derivative of -128/39*s**4 - 1/13*s**2 + 17*s + 32/39*s**3 + 0. Let r(a) = 0. Calculate a.
1/16
Factor 1/3*j**2 - 7/3*j + 2.
(j - 6)*(j - 1)/3
Let g(d) be the second derivative of -d**7/420 + 3*d**6/100 - d**5/25 - 8*d. Find k such that g(k) = 0.
0, 1, 8
Let a(c) = c**3 + 10*c**2 + 12. Let b be a(-10). Find d such that 3*d**2 - d**2 + 4*d**3 - b*d**2 - 2*d**3 = 0.
0, 5
Let j = -1728 + 1731. Solve 0*y + 0 - 6/11*y**j - 2/11*y**4 + 0*y**2 = 0.
-3, 0
Let d(i) be the third derivative of -i**5/120 - 39*i**4/32 - 29*i**3/12 + 2*i**2 - 285. Factor d(y).
-(y + 58)*(2*y + 1)/4
Let w(r) = r**2 + 73*r + 634. Let c be w(-63). Factor -2 + 1/2*n**5 - 5/2*n**3 - 1/2*n**2 + 1/2*n**4 + c*n.
(n - 1)**3*(n + 2)**2/2
Let i(k) be the first derivative of 1/30*k**6 - 7 - 2/5*k + 2/15*k**3 + 0*k**5 + 3/10*k**2 - 1/5*k**4. Factor i(m).
(m - 1)**3*(m + 1)*(m + 2)/5
Let s(c) be the third derivative of -12*c**2 + 1/6*c**4 - 1/2*c**3 - 1/60*c**5 + 0*c + 0. Factor s(n).
-(n - 3)*(n - 1)
Determine s so that -222/7*s**2 - 27/7*s**3 + 0 - 48/7*s = 0.
-8, -2/9, 0
Let q(r) be the third derivative of r**6/90 + 4*r**5/15 + 8*r**4/3 - 14*r**3/3 - 24*r**2. Let a(y) be the first derivative of q(y). Find v such that a(v) = 0.
-4
Suppose 0 = 2*m - 2*f - 2, 3*f - 37 = -5*m. Let w be (8/(-24))/(m/(-18)). Factor 2/5*s + 4/5 - w*s**2.
-2*(s - 1)*(3*s + 2)/5
Let a(x) be the third derivative of x**8/168 - x**6/30 + x**4/12 - 246*x**2. What is r in a(r) = 0?
-1, 0, 1
Factor -32*f**3 + 194*f**2 + 73*f**4 - 25*f**4 + 8*f**3 - 191*f**2.
3*f**2*(4*f - 1)**2
Let n(t) be the second derivative of 1/6*t**3 + 11/2*t**2 - 1/24*t**4 + 1/240*t**5 + 12*t + 0. Let a(q) be the first derivative of n(q). Factor a(g).
(g - 2)**2/4
Let n = -31497 - -220483/7. Solve 0*u**2 + 0*u**3 + 0*u - n*u**4 + 0 + 2/7*u**5 = 0.
0, 2
Let v(q) = -q**3 - 6*q**2 + 3*q + 4. Let f(o) = 3*o**3 + 17*o**2 - 8*o - 12. Let r = 65 - 73. Let t(j) = r*v(j) - 3*f(j). Factor t(m).
-(m - 1)*(m + 2)**2
Let o(w) be the first derivative of w**6/42 + 38*w**5/35 + 457*w**4/28 + 608*w**3/7 + 1152*w**2/7 - 18. Solve o(q) = 0 for q.
-16, -3, 0
Let t = 109 - 97. Factor -3*a**4 - 206 + t*a**2 - 5*a + 197 - a + 6*a**3.
-3*(a - 3)*(a - 1)*(a + 1)**2
Let w(p) = -p**2 + 397*p - 390. Let u(y) = 4*y**2 - 1188*y + 1168. Let z(t) = 3*u(t) + 8*w(t). Find b, given that z(b) = 0.
1, 96
Let s = 64 - 68. Let p be (8/(-6))/(s/6). Factor -1/2*x + 1/4*x**p + 1/4.
(x - 1)**2/4
Let c = 354658/23 - 15418. Solve 2/23*b**4 + c*b**2 + 16/23*b**3 + 18/23 + 48/23*b = 0 for b.
-3, -1
Let b(g) be the second derivative of 0*g**4 - 10*g