-1/14, 0
Find l, given that -42004*l**2 + 2 + 3*l - 2*l**5 + 3*l**5 + 42002*l**2 - 4*l**3 = 0.
-1, 1, 2
Let v = 1897 + -24649/13. Let z = 134/117 - v. Solve 4/9 + 2/9*m - z*m**2 = 0 for m.
-1, 2
Let g(r) be the first derivative of 0*r**2 + 12*r + 3/8*r**4 + 0*r**3 + 1/60*r**6 + 5 + 3/20*r**5. Let a(p) be the first derivative of g(p). Solve a(j) = 0.
-3, 0
Let f(b) = -2*b + 33. Let j(s) = s**3 + 10*s**2 + 18*s - 6. Let l be j(-7). Let c be f(l). Factor -6/5*h**c + 0 + 6/5*h**2 + 2/5*h**4 - 2/5*h.
2*h*(h - 1)**3/5
Suppose 7/6*k**3 + 7/3*k**4 + 0*k + 5/6*k**5 + 0 - 1/3*k**2 = 0. What is k?
-2, -1, 0, 1/5
Let q(x) = 3*x**3 - 31*x**2 - 162*x - 10. Let s(v) = -5*v**3 + 46*v**2 + 243*v + 16. Let i(m) = 8*q(m) + 5*s(m). Factor i(f).
-f*(f + 9)**2
Let t(x) be the second derivative of 1/16*x**4 + 1/20*x**5 + 0*x**2 - 1/24*x**3 + x + 0. Factor t(c).
c*(c + 1)*(4*c - 1)/4
Let x(a) be the first derivative of -4*a**5/5 + 4*a**3/3 + 60. Suppose x(r) = 0. Calculate r.
-1, 0, 1
Let x(b) be the first derivative of -2/3*b**3 + 2/5*b**5 + 8 - b**4 + 2*b**2 + 0*b. Solve x(p) = 0 for p.
-1, 0, 1, 2
Let m(w) = -11*w**2 + 20*w - 18. Let i(c) = -90*c**2 + 160*c - 145. Let a(x) = 3*i(x) - 25*m(x). Suppose a(n) = 0. Calculate n.
1, 3
Let -28/5*d**3 + 0 + 2/5*d**4 + 0*d**2 + 0*d = 0. What is d?
0, 14
Let j(n) be the third derivative of -n**7/420 + n**6/90 + n**5/20 - 4*n**3/3 + 4*n**2. Let m(w) be the first derivative of j(w). Factor m(i).
-2*i*(i - 3)*(i + 1)
Let x(q) be the first derivative of -q**8/1008 - q**7/210 - q**6/180 - 22*q**2 + 47. Let b(l) be the second derivative of x(l). Solve b(k) = 0.
-2, -1, 0
Let l(y) be the first derivative of -y**5/70 - 5*y**4/42 - 48*y + 23. Let k(x) be the first derivative of l(x). Factor k(o).
-2*o**2*(o + 5)/7
Let z(m) be the third derivative of -m**8/1344 + 11*m**7/840 - 7*m**6/96 + 5*m**5/48 - 105*m**2. Find d such that z(d) = 0.
0, 1, 5
Let a be (-3)/6*215/(-10). Determine k so that -3/2 - a*k**2 - 9/4*k**3 + 9/4*k**4 - 31/4*k = 0.
-1, -2/3, -1/3, 3
Let z be ((-76)/(-20))/(2/10). Factor 26*b**3 + z*b + 99*b**2 - 24 + 35*b - 5*b**3.
3*(b + 1)*(b + 4)*(7*b - 2)
Let a(b) = -53*b**4 - b**3 + b**2 - 3*b + 3. Let v(g) = -4 + 18*g + 2*g**3 + 8*g - 22*g + 52*g**4. Let l(p) = 4*a(p) + 3*v(p). Factor l(t).
-2*t**2*(4*t + 1)*(7*t - 2)
Let x be (1/(-2))/((-4)/40). Let n = 2 - 2. Solve -x*l + l + n*l + 5*l + l**2 = 0 for l.
-1, 0
Let o(c) be the second derivative of -1/36*c**4 + 5/18*c**3 + 20*c + 0 - 2/3*c**2. Factor o(d).
-(d - 4)*(d - 1)/3
Let z(j) = -j**4 + j**3 - 2*j**2 - j. Let a(i) = 5*i**4 + 9*i**3 - 3*i**2 - 9*i + 4. Let n(x) = a(x) + 2*z(x). Let n(v) = 0. Calculate v.
-4, -1, 1/3, 1
Let a be (-7 + (-8)/(-2))*-3. Let x(m) be the first derivative of a + 1/4*m + 1/12*m**3 + 1/4*m**2. Find y, given that x(y) = 0.
-1
Factor 84*m + 9*m**3 - 1575*m**2 - 6*m**3 + 1488*m**2.
3*m*(m - 28)*(m - 1)
Let y(z) be the first derivative of z**5/25 + z**4/4 + z**3/3 - z**2/2 - 6*z/5 - 70. Suppose y(h) = 0. What is h?
-3, -2, -1, 1
Let l = -5/17 + 317/153. Let -8/3*b + l + 4/3*b**2 - 2/9*b**3 = 0. Calculate b.
2
Let i(m) be the first derivative of -m**6/6 + m**5/5 + 3*m**4/4 - m**3/3 - m**2 - 103. Solve i(x) = 0 for x.
-1, 0, 1, 2
Let b(m) be the first derivative of -6/11*m - 2/11*m**2 + 41 + 1/11*m**4 - 2/55*m**5 + 8/33*m**3. Determine u, given that b(u) = 0.
-1, 1, 3
Let r(o) = -o**2 - 2*o + 2. Let s be r(-2). Suppose 0*a**2 - 2*a + 2*a**s - 8*a**2 + 3*a**3 + 5*a = 0. Calculate a.
0, 1
Let w(g) = -g**3 - 14*g**2 - 26*g + 9. Let z be w(-12). Let a = z + -30. Factor -2/5*j - 2/5*j**a + 0 + 4/5*j**2.
-2*j*(j - 1)**2/5
Let a(v) be the third derivative of v**8/2352 + v**7/147 - v**6/420 - v**5/21 + v**4/168 + 5*v**3/21 + 15*v**2 + 3*v. What is d in a(d) = 0?
-10, -1, 1
Let b(i) be the first derivative of 2*i**5/55 + 17*i**4/22 - 74*i**3/33 + 19*i**2/11 + 345. Factor b(o).
2*o*(o - 1)**2*(o + 19)/11
Let g(u) be the second derivative of u**8/840 - 2*u**7/525 + u**5/75 - u**4/60 - 11*u**2/2 - u. Let y(c) be the first derivative of g(c). Factor y(h).
2*h*(h - 1)**3*(h + 1)/5
Let g(o) be the first derivative of -o**5 + 15*o**4 - 5*o**3 - 520*o**2 - 960*o - 429. Factor g(f).
-5*(f - 8)**2*(f + 1)*(f + 3)
Let l(y) be the first derivative of y**5/60 - 7*y**4/36 + 5*y**3/6 - 3*y**2/2 + 18*y - 6. Let f(w) be the first derivative of l(w). Factor f(o).
(o - 3)**2*(o - 1)/3
Factor -28*h - 6 - 4*h**2 - 1 + 2*h**2 + 18*h**2 - 1.
4*(h - 2)*(4*h + 1)
Let -2/5 + 3/5*a + 4*a**2 - 21/5*a**3 = 0. What is a?
-1/3, 2/7, 1
Let t = 482 - 482. Let u(y) be the first derivative of -8/5*y**5 + t*y - 3*y**4 - y**2 - 8/3*y**3 - 1/3*y**6 - 7. Let u(h) = 0. Calculate h.
-1, 0
Suppose 4*o + 4*g = 0, 0 = g + 596 - 593. Factor 2/3*p**4 + 2/3 + 0*p - 4/3*p**2 + 0*p**o.
2*(p - 1)**2*(p + 1)**2/3
Factor -7 + 1/3*m**2 + 20/3*m.
(m - 1)*(m + 21)/3
Factor -32*i**4 + 29*i**4 + 15*i**3 + 6*i**5 - 17*i**2 + 6*i - 7*i**5.
-i*(i - 1)**3*(i + 6)
Let d be (6/2 + 2/(-1))*-43. Let s = -40 - d. Determine o so that -4/7*o + 4/7*o**4 + 4/7*o**s + 0 - 4/7*o**2 = 0.
-1, 0, 1
Let p be (-8)/(-80) - 6/(-15). Factor -1/6*z**4 + 2/3*z + 2/3 - p*z**2 - 2/3*z**3.
-(z - 1)*(z + 1)*(z + 2)**2/6
Suppose -2*m + 9 = 3. Let v be (2/m)/(7/21). Factor 1 - 6*i**v + 7/2*i**3 + 3/2*i.
(i - 1)**2*(7*i + 2)/2
Let p(q) = -16*q**3 + 20*q**2 - 2. Let s(r) = r**4 - 15*r**3 + 20*r**2 - 3. Let t(o) = 6*p(o) - 4*s(o). Factor t(i).
-4*i**2*(i - 1)*(i + 10)
Let y(g) be the second derivative of g**6/6 + g**5/2 - 80*g**4/3 + 400*g**3/3 + 243*g + 2. Factor y(a).
5*a*(a - 4)**2*(a + 10)
Let l(g) be the first derivative of g**6/39 - 8*g**5/65 + 5*g**4/26 - 4*g**3/39 + 298. Determine b so that l(b) = 0.
0, 1, 2
Let i(f) = -4*f**2 + 43*f + 15. Let y be i(11). Suppose -5*t**2 + y*t**5 - 4*t + 2*t - 3*t**3 - 3*t**5 + 21*t**4 - 20*t**4 = 0. What is t?
-1, 0, 2
Let b(o) be the second derivative of 40*o + 0 + 1/3*o**2 - 1/12*o**3 - 1/72*o**4. Factor b(f).
-(f - 1)*(f + 4)/6
Let c(y) be the second derivative of y**9/37800 - y**8/16800 - y**7/3150 - 7*y**4/12 + 5*y. Let m(n) be the third derivative of c(n). Find r such that m(r) = 0.
-1, 0, 2
Let w(q) = -2*q**5 - 18*q**4 - 12*q**3 - 8*q**2 + 3. Let u(p) = -3*p**5 - 17*p**4 - 13*p**3 - 7*p**2 + 2. Let k(d) = 3*u(d) - 2*w(d). Factor k(c).
-5*c**2*(c + 1)**3
Let b(h) be the first derivative of -160*h**2 + 9 - 104/3*h**3 + 30*h**4 - 128*h - 18/5*h**5. Factor b(d).
-2*(d - 4)**2*(3*d + 2)**2
Let o = 82 + -80. Let k be (3/o)/(15/5). Let 0*j + 0 - 1/2*j**2 - k*j**3 = 0. Calculate j.
-1, 0
Let m = -26 + 27. Let q(s) = 12*s**2 - 4. Let i(l) = -l**2 - l + 1. Let t(o) = m*q(o) + 8*i(o). Solve t(g) = 0.
1
Let l(w) be the third derivative of 0*w**3 - 15*w**2 - 1/120*w**5 + 0*w + 0 + 1/24*w**4. Let l(y) = 0. What is y?
0, 2
Let b(z) be the second derivative of -5*z**7/42 - 11*z**6/6 - 43*z**5/4 - 365*z**4/12 - 140*z**3/3 - 40*z**2 + 95*z + 2. Solve b(p) = 0.
-4, -1
Let j = 3818399/36 - 106076. Let o = j + 41/4. Solve -o*c + 2/9 + 2/3*c**2 = 0 for c.
1/3, 1
Determine a, given that -40/11*a**2 - 2/11*a**4 + 0*a + 18/11*a**3 + 0 = 0.
0, 4, 5
Let k(q) be the first derivative of -1/3*q**4 + 0*q**2 + 16/15*q**5 - 31 - 8/9*q**6 + 0*q**3 + 0*q. Determine y so that k(y) = 0.
0, 1/2
Let q be 9 - (0/1 - 4). Find h, given that -10*h + 6*h**3 + 4*h**4 + h**4 + q*h**3 - 5*h**2 - 15*h**5 + 6*h**3 = 0.
-1, -2/3, 0, 1
Let m(t) be the first derivative of t**4/4 - 4*t**3/3 + t**2 + 2*t - 1. Let x be m(4). Factor -10*n**2 + x - 4*n - 10 + 14*n**3.
2*n*(n - 1)*(7*n + 2)
Let t(q) be the second derivative of -1/1620*q**6 + 0*q**4 + 0*q**5 + 0*q**2 + 0 + 5/6*q**3 + 5*q. Let u(j) be the second derivative of t(j). Factor u(p).
-2*p**2/9
Solve -8/19*v**3 + 6/19*v**2 + 36/19*v - 2/19*v**4 + 0 = 0.
-3, 0, 2
Let o(t) be the second derivative of -t**6/180 - 7*t**5/30 - 49*t**4/12 - 11*t**3/3 + 23*t. Let i(m) be the second derivative of o(m). Factor i(v).
-2*(v + 7)**2
Suppose 35 = 4*b + 3*b. Suppose -2*n + 10 = 3*z, -b*n = -10*n + 10. Factor -3*i**3 + i**2 + 6*i**2 + 3*i**4 - 10*i**z + 0*i**5 + 3*i**5.
3*i**2*(i - 1)*(i + 1)**2
Factor 1058 + 92/3*d + 2/9*d**2.
2*(d + 69)**2/9
Find a such that 3/2*a**2 - 117/2*a + 57 = 0.
1, 38
Let v be -11*2/30 - -1. Let q(z) be the second derivative of 4/5*z**2 + 3*z + v*z**3 + 1/30*z**4 + 0. Factor q(a)