te f.
1/4, 1
Find n, given that 24/5*n**2 - 8/5*n - 26/5*n**3 + 12/5*n**4 - 2/5*n**5 + 0 = 0.
0, 1, 2
Let m(h) = h**2 - 2*h. Let x(n) = -3*n**2 + 65*n + 17. Let f(d) = m(d) - x(d). Factor f(k).
(k - 17)*(4*k + 1)
What is v in -3*v - 36/7 - 3/7*v**2 = 0?
-4, -3
Determine a, given that 0*a - 4/3*a**2 + 203/3*a**4 + 8/3*a**3 + 147*a**5 + 0 = 0.
-2/7, 0, 1/9
Factor -15/7*n**2 + 0 - 3/7*n**4 + 12/7*n**3 + 6/7*n.
-3*n*(n - 2)*(n - 1)**2/7
Let s(w) be the second derivative of -4/45*w**5 + 0 + 0*w**2 + 1/27*w**6 + 1/54*w**4 + 16*w + 2/27*w**3. Determine i, given that s(i) = 0.
-2/5, 0, 1
Let i(f) be the second derivative of 0 + 1/5*f**5 - 4*f**2 - 2/3*f**3 - 22*f + 2/3*f**4. Factor i(k).
4*(k - 1)*(k + 1)*(k + 2)
Let p(f) be the second derivative of f**4/12 + 91*f**3/6 + 89*f**2 - 124*f + 1. Factor p(v).
(v + 2)*(v + 89)
Suppose w + 21 = -5*s, -41*w = -42*w + 4*s + 24. Suppose -12/5*j + 9/5*j**2 + 12/5*j**3 + 3/5*j**w - 12/5 = 0. Calculate j.
-2, -1, 1
Suppose l - 2 = -3*k - 0, k + 2*l + 6 = 0. Factor -20*j + 10*j**2 + 0 + 22*j**2 + 18*j**2 + k.
2*(5*j - 1)**2
Let x(c) be the third derivative of 0*c**5 + 0*c + 0*c**4 + 1/140*c**6 - 1/1176*c**8 + 0*c**3 + 0 + c**2 + 2/735*c**7. Factor x(q).
-2*q**3*(q - 3)*(q + 1)/7
Let p(a) be the third derivative of 0*a**4 + 1/40*a**5 + 0 + 0*a + 0*a**3 - 16*a**2. Let p(z) = 0. What is z?
0
Let b = -37592 + 488704/13. Factor -2/13*n**2 + b*n - 8/13.
-2*(n - 2)**2/13
Let i be -8 - 810/(-100) - (-58)/20. Let m(f) be the third derivative of 0 - 1/3*f**i - 4/15*f**5 - 7/120*f**6 - 11/24*f**4 + 0*f + 3*f**2. Solve m(x) = 0.
-1, -2/7
Let z(r) = -r**3 + 3*r**2 + 7*r - 19. Let s be z(3). Suppose -2*b = b. Factor 1/3*y**s + b + 1/3*y.
y*(y + 1)/3
Let l be (510/35)/6 - 6/14. Factor 11*i**2 - 15*i**l + 0*i + 8*i - 4.
-4*(i - 1)**2
Let s be ((37 - 37)/4)/(2 - 1). Factor -9/7*w**2 + 6/7*w + 3/7*w**3 + s.
3*w*(w - 2)*(w - 1)/7
Let b = 111 - 96. Suppose -27 - 18 = -b*u. Factor 0*i**u - 9/7 + 3/7*i**4 - 24/7*i - 18/7*i**2.
3*(i - 3)*(i + 1)**3/7
Let h = -31/65 + 737/455. Find c such that -48/7*c**2 + 34/7*c**3 - 4/7 - h*c**4 + 26/7*c = 0.
1/4, 1, 2
Let g(w) = w**5 - 9*w**4 + 48*w**3 - 21*w**2 - 69*w - 5. Let m(c) = -8*c**4 + 48*c**3 - 20*c**2 - 68*c - 4. Let a(h) = 4*g(h) - 5*m(h). Factor a(s).
4*s*(s - 2)**2*(s + 1)*(s + 4)
Suppose -4*h - 5*z + 12 = -5, -2*h + 10 = 4*z. Let i(d) = -d + 5. Let m be i(h). Factor -15*r**3 + 5*r + 10*r + 9*r - 12 + 21*r**m.
-3*(r - 2)*(r + 1)*(5*r - 2)
Suppose 15*f - 12 = 12*f. Factor -11*x**3 - 12*x**3 + 7*x**3 - x**4 - 3*x**f.
-4*x**3*(x + 4)
Let x(u) = 8*u + 99. Let r be x(-13). Let w(f) = f + 13. Let j be w(r). Factor 8/5 - j*s + 10*s**2.
2*(5*s - 2)**2/5
Let g = 32 + -14. Suppose 6*t + 3*t = g. Solve -24/13*c**t + 2/13 - 2/13*c = 0.
-1/3, 1/4
Let t(u) be the second derivative of -u**3/2 - 25*u**2/2 - 83*u. Let m be t(-9). Let 0 + 2/7*n - 4/7*n**3 + 0*n**m + 2/7*n**5 + 0*n**4 = 0. Calculate n.
-1, 0, 1
Let f = 162 - 647/4. Factor -1/2 + f*o**4 + 5/4*o - 3/4*o**2 - 1/4*o**3.
(o - 1)**3*(o + 2)/4
Let c = -6 - -10. Suppose -2 = -2*n + c. Factor n*h**3 - 5*h**3 - 3*h + h**2 + h + 3*h**2.
-2*h*(h - 1)**2
Factor 0 - 1/2*z**2 + 9/2*z.
-z*(z - 9)/2
Suppose -2*l = -b + 33, -5*l + 0*b - 96 = 2*b. Let w be l/(-48) - 3/(-8). Factor 0*f - 3/4*f**3 - w*f**5 + 3/2*f**4 + 0 + 0*f**2.
-3*f**3*(f - 1)**2/4
Let b(i) = -i**3 - i**2 + 3*i - 4. Let x be b(-3). Factor -j**2 - 9*j**2 + x*j**5 + 10*j**2.
5*j**5
Let j(w) = -5*w**3 - 25*w**2 + 11*w - 17. Let p(v) = -12*v**2 - v**3 + 8*v**2 - 2*v**2 + 3*v - 4. Let r(m) = 2*j(m) - 9*p(m). Determine g, given that r(g) = 0.
1, 2
Let a(y) be the third derivative of y**5/10 + 31*y**4/12 + 12*y**3 - 327*y**2. Factor a(k).
2*(k + 9)*(3*k + 4)
Factor 32/3*r + 1/3*r**2 + 20.
(r + 2)*(r + 30)/3
Let z = -136 + 141. Suppose -3*d = -y - 8*d + 17, -z*y = -4*d + 2. Find p, given that -2/15*p + 4/15 - 2/15*p**y = 0.
-2, 1
Let g = 29759/7 - 4251. Let -2/7*k**2 + 2/7 - 2/7*k + g*k**3 = 0. What is k?
-1, 1
Let s(c) = -2*c**4 - c**3 + 3*c + 1. Let f(g) = 64*g**4 + 154*g**3 + 28*g**2 - 86*g - 18. Let t(m) = f(m) + 2*s(m). Solve t(w) = 0.
-2, -1, -1/5, 2/3
Let i(w) be the third derivative of -w**6/90 + 2*w**2 - 47. Factor i(r).
-4*r**3/3
Factor -10 + 55/2*w**3 - 175/2*w**2 + 70*w.
5*(w - 2)*(w - 1)*(11*w - 2)/2
Suppose 10*p = 19*p - 36. Let b(c) be the first derivative of -3/2*c**2 + 5 + 2*c + 0*c**3 + 1/4*c**p. Solve b(q) = 0.
-2, 1
Let t be (-10)/4*(6 - 4). Let z(c) = 23*c**3 - 7*c**2 - 120*c + 188. Let q(a) = -15*a**3 + 5*a**2 + 80*a - 125. Let r(f) = t*z(f) - 8*q(f). Factor r(d).
5*(d - 2)**2*(d + 3)
Let t(k) be the first derivative of 1/20*k**5 + 2/3*k**3 + 0*k + 6 - 1/180*k**6 + 0*k**2 - 1/6*k**4. Let i(f) be the third derivative of t(f). Factor i(l).
-2*(l - 2)*(l - 1)
Let c(x) be the second derivative of x**5/5 - 17*x**4/6 + 22*x**3/3 - 7*x**2 + 2*x - 97. Determine m so that c(m) = 0.
1/2, 1, 7
Let i(v) be the third derivative of -v**6/40 + 3*v**5/4 + 27*v**4/4 - 66*v**2 - v. Find g, given that i(g) = 0.
-3, 0, 18
Suppose 0*h = 4*h - 4*h - h. Factor 11/3*k**2 + h + 2*k.
k*(11*k + 6)/3
Let p = 27 - 25. Let i - 5*i**3 - 7*i**2 + 10 + 3*i**p - 6*i**2 + 4*i = 0. Calculate i.
-2, -1, 1
Suppose 2*k = -2*k - 3*l + 14, 3*l - 6 = 0. Let x(a) be the first derivative of -1/15*a**k - 2 + 4/75*a**5 - 4/45*a**3 + 0*a + 1/45*a**6 + 0*a**4. Factor x(f).
2*f*(f - 1)*(f + 1)**3/15
Let d(k) be the second derivative of k**8/16800 + k**7/3150 + k**6/1800 - 11*k**4/12 - 13*k. Let m(b) be the third derivative of d(b). Factor m(f).
2*f*(f + 1)**2/5
Suppose 0 = -n - 4 + 8. Factor 44 - n*c + 18*c + 10*c + 3*c**2 + 4.
3*(c + 4)**2
Let w(a) be the second derivative of 16*a + 0 + 0*a**3 + 7/5*a**5 + 0*a**2 - 2/3*a**4 - 2/3*a**6. Factor w(y).
-4*y**2*(y - 1)*(5*y - 2)
Let j(x) be the first derivative of 0*x**2 + 1/3*x**5 - 21 + 5/9*x**3 + 0*x + 5/6*x**4. Find o such that j(o) = 0.
-1, 0
Let z(b) be the first derivative of -3*b**4/4 + 58*b**3 + 357*b**2/2 + 180*b - 909. Factor z(h).
-3*(h - 60)*(h + 1)**2
Let i(t) be the third derivative of 5/3*t**4 - 17*t**2 + 0*t - 1/30*t**5 - 100/3*t**3 + 0. Factor i(g).
-2*(g - 10)**2
Let w(v) = 473*v - 2*v**2 - 479*v + v**2. Let d(u) = u**2 + u. Let l(b) = 4*d(b) - w(b). Factor l(q).
5*q*(q + 2)
Let h(a) be the second derivative of 1/60*a**5 + 13/18*a**3 + 0 - 24*a + 2/9*a**4 + a**2. Factor h(v).
(v + 1)**2*(v + 6)/3
Let l = -1779 - -1782. Factor l*g**2 - 3/5*g**3 + 0 - 12/5*g.
-3*g*(g - 4)*(g - 1)/5
Find c, given that -34/9*c**3 - 2/9*c**5 - 16/9*c**4 - 20/9*c**2 + 0 + 0*c = 0.
-5, -2, -1, 0
Let m(j) = 5 + j**2 - 8 + 2*j + 1 - 5*j. Let d be m(4). Factor -3*c**3 - c**2 - 5*c**2 - 6*c - 3*c**d.
-3*c*(c + 1)*(c + 2)
Suppose 450*c - 444*c = 0. What is n in 2/5*n**2 + c + 2/5*n = 0?
-1, 0
Let o(c) = -31*c**3 + 21*c**2 + 216*c + 60. Let j(u) = 32*u**3 - 22*u**2 - 217*u - 60. Let m(k) = 4*j(k) + 3*o(k). Factor m(z).
5*(z - 3)*(z + 2)*(7*z + 2)
Let q(g) = -14*g - 162. Let t be q(-18). Find a such that 6 + 675/2*a**2 + t*a = 0.
-2/15
Factor -40/3*g**3 + 0*g**2 - 4*g**4 + 0 + 4/3*g**5 + 0*g.
4*g**3*(g - 5)*(g + 2)/3
Let u(s) = s**3 + 7*s**2 - 6. Let a be u(-6). Suppose -r = 4*r - a. Factor 4*f**4 - r*f**3 - 3*f**4 + 0*f**4 - 6*f**2 - 3*f**4 - 2*f.
-2*f*(f + 1)**3
Factor 9*q + 1/3*q**3 - 9 - 3*q**2.
(q - 3)**3/3
Suppose 0 = -m + 3*o + 8 - 3, 5*o = 0. Let q(d) be the second derivative of 1/6*d**3 + 0 - m*d - 1/20*d**5 + 0*d**2 + 0*d**4. Determine x so that q(x) = 0.
-1, 0, 1
Let l(h) = h**3 + 0 + 4*h**2 - 7 + 5*h**2 + 108*h - 109*h. Let z be l(-9). Determine r, given that -2*r**2 - 2 - 4*r**3 + r + 6*r**z + r**3 = 0.
-2/3, 1
Let u(f) be the third derivative of -f**7/840 - f**6/8 - 45*f**5/8 + f**4/12 + 7*f**3/3 - 24*f**2. Let n(t) be the second derivative of u(t). Factor n(c).
-3*(c + 15)**2
Suppose 90 = 216*y - 198*y. Factor -10/7*j**4 - 1/7*j**y + 0*j**2 - 25/7*j**3 + 0 + 0*j.
-j**3*(j + 5)**2/7
Let t(o) = -3*o**2 + 17*o - 12. Let y(d) = 6*d**2 - 35*d + 24. Let q(j) = -5*t(j) - 2*y(j). Factor q(a).
3*(a - 4)*(a - 1)
Factor -929*n**4 + 25*n + n**5 + 81*n - 12*n**3 + 2*n**5 - 68*n**2 + 943*n**4 - n**5 - 42.
2*(n - 1)**3*(n + 3)*(n + 7)
Let p(k) be the first derivative of 2/3*k - 2/9*k**3 + 0*k**2 + 1. Factor p(g).
-2*(g - 1)*(g + 1)/3
Let b = -56470639091707/13992 - -4035923326. Let m = 