se -3*x**2 - 3/5*x**4 + 12/5*x**3 + 0 + 6/5*x = 0. What is x?
0, 1, 2
Solve -8/9 + 2/9*m**5 - 2/3*m**4 + 14/9*m**2 - 2/9*m**3 + 0*m = 0.
-1, 1, 2
Let l(i) be the first derivative of -3*i**5/25 - 11*i**4/20 - 11*i**3/15 - i**2/10 + 2*i/5 - 75. Find s, given that l(s) = 0.
-2, -1, 1/3
Solve -59*f**2 + 8*f**2 - 126*f**5 + 51*f**3 - 21*f**4 + 129*f**5 + 18*f = 0.
0, 1, 2, 3
Let v = 1293/20 - 1263/20. Find c such that 8 - v*c**3 + 14*c + 2*c**2 = 0.
-2, -2/3, 4
Let f(h) be the second derivative of 4*h + 7/10*h**6 + 0*h**2 - h**3 + 41/12*h**4 + 0 - 19/5*h**5. Factor f(w).
w*(w - 3)*(3*w - 1)*(7*w - 2)
Let d(j) = j**3 + 3*j**2 + j. Let m(s) = -16*s**4 - 685*s**3 - 9915*s**2 - 50961*s - 32928. Let q(r) = -d(r) - m(r). Find b, given that q(b) = 0.
-14, -3/4
Let z be 10*(8/(-24) - -38*3/270). Determine i so that -4/3*i**2 + 0 + 4/3*i**4 + 2/9*i - 10/9*i**5 + z*i**3 = 0.
-1, 0, 1/5, 1
Determine t so that -2 + 48*t**2 + 93*t**2 + 185 + 4*t**3 + 369*t - t**3 + 48*t**2 = 0.
-61, -1
Let u(z) be the third derivative of 9*z**7/70 - 21*z**6/20 - 17*z**5/5 - 3*z**4 - z**2 + 5*z. Solve u(g) = 0.
-2/3, 0, 6
Let f be ((2 + 9/(-5))*-3)/(6/(-5)). Let 21/8*i**2 + f*i**3 + 9/4*i - 27/8 = 0. Calculate i.
-3, 3/4
Suppose -81/5*u**3 - 18/5*u**4 + 0*u + 0 + 0*u**2 - 1/5*u**5 = 0. What is u?
-9, 0
Let f(a) be the second derivative of a**7/70 + 3*a**6/25 - 33*a**5/100 - 3*a**4 + 10*a**3 - 408*a. Solve f(n) = 0.
-5, 0, 2
Let g = -20 + 25. Find p, given that -6*p**2 - 20*p - g + 5 + p**2 = 0.
-4, 0
Solve 0 + 2/3*s**2 - 10/3*s = 0 for s.
0, 5
Let f(o) = -o**3 - 5*o**2 - 3*o + 6. Let k = 1 - 5. Let h be f(k). Find q such that -72*q**4 - 48*q**5 - 2 - h*q**3 + 2 + 18*q**2 - q**3 - 3*q = 0.
-1, 0, 1/4
Let j = -1/678 + 467/10170. Let x(w) be the first derivative of -2 + 0*w - j*w**5 - 1/9*w**2 + 1/18*w**4 + 2/27*w**3. Factor x(n).
-2*n*(n - 1)**2*(n + 1)/9
Let w(z) = z**2 + 1. Let m(v) = -v + 10. Let y be m(11). Let x(o) = -8*o**2 - 15*o + 17. Let u(g) = y*x(g) - 3*w(g). Determine t so that u(t) = 0.
-4, 1
Find t such that -10*t**2 - 7*t**4 - 8*t**4 - 6*t - 2*t**3 - 3*t**4 + 20*t**4 = 0.
-1, 0, 3
Let g(b) = 8020*b**3 + 14590*b**2 + 8740*b + 1720. Let n(s) = -1851*s**3 - 3367*s**2 - 2017*s - 397. Let y(w) = -8*g(w) - 35*n(w). Factor y(c).
5*(5*c + 3)**3
Let 6936/13 + 2/13*x**3 + 2720/13*x + 142/13*x**2 = 0. What is x?
-34, -3
Let p(l) be the first derivative of l**5 + 35*l**4/2 + 260*l**3/3 + 165*l**2 + 135*l + 130. Find f such that p(f) = 0.
-9, -3, -1
Determine t so that 9 - 90*t**2 + 38*t + 2 + 8*t**3 - 17 + 8*t**5 + 90*t**3 - 48*t**4 = 0.
1/2, 1, 3
Let l be 14/(-35) + (-46)/(-40). Determine x, given that -l*x**3 + 3 + 0*x - 9/4*x**2 = 0.
-2, 1
Let g(h) = -h**2 - 105*h + 1461. Let n(p) = -2*p**2 - 316*p + 4382. Let s(o) = 8*g(o) - 3*n(o). Factor s(i).
-2*(i - 27)**2
Let l(r) be the first derivative of 23*r**6/180 - 5*r**5/12 + r**4/6 - 25*r**3/3 - 28. Let x(j) be the third derivative of l(j). Solve x(a) = 0 for a.
2/23, 1
Let y(n) be the second derivative of -n**4/12 - 61*n**3/3 - 3721*n**2/2 + n - 4. Factor y(q).
-(q + 61)**2
Let m(o) be the third derivative of -9*o**8/224 - 19*o**7/70 - 13*o**6/40 + 4*o**5/5 + 35*o**4/16 + 3*o**3/2 + 75*o**2 - 1. Find p, given that m(p) = 0.
-3, -1, -2/9, 1
Let f(h) be the third derivative of h**8/13440 - h**7/840 + h**6/160 + 2*h**5/15 - 12*h**2. Let v(l) be the third derivative of f(l). Let v(k) = 0. Calculate k.
1, 3
Let i(s) be the third derivative of 0 + 1/15*s**5 + 0*s**7 + 1/20*s**6 - 31*s**2 + 0*s**4 + 0*s + 0*s**3 - 1/168*s**8. Let i(x) = 0. What is x?
-1, 0, 2
Suppose k + 20 = -0*k - 4*i, -k = i + 5. Find s such that -14 - 15*s + k*s**3 - 3*s**2 + 5 + 3*s**3 = 0.
-1, 3
Suppose 2379 = -3*m + 2379. Suppose 4/3*i**2 + 16/3*i**4 - 20/3*i**3 + m + 0*i = 0. What is i?
0, 1/4, 1
Suppose -2*k + 4*x = -16 - 8, 0 = 2*k + x - 4. Let u(h) be the third derivative of 0 + 1/10*h**5 + h**3 + 0*h - k*h**2 - 5/8*h**4. Let u(q) = 0. What is q?
1/2, 2
Let p = 5 - -3. Determine i so that p*i - 16*i**2 + 3*i**3 + 8*i + i**3 = 0.
0, 2
Factor 18*s**3 + 27*s**4 + 64*s**2 - 42*s**4 + 3*s**5 - 64*s**2.
3*s**3*(s - 3)*(s - 2)
Solve 7*x**2 + 14*x**2 + 1 - 11 - 32 - 6*x**2 - 99*x = 0.
-2/5, 7
Let t(y) = 8*y**4 + 25*y**3 - 32*y**2 - 25*y + 15. Let k(a) = -4*a**4 - 12*a**3 + 16*a**2 + 12*a - 8. Let q(f) = 9*k(f) + 4*t(f). Factor q(x).
-4*(x - 1)**2*(x + 1)*(x + 3)
Let j(o) be the third derivative of -o**7/210 - 4*o**6/45 + 13*o**3/6 - 13*o**2 - o. Let f(r) be the first derivative of j(r). Factor f(h).
-4*h**2*(h + 8)
Suppose 2*u = 2*n + 104, 0*u - u + 55 = 2*n. Solve 4*w**2 - 4 + 53*w - u*w = 0.
-1, 1
Let k(h) = -h**5 + h**4 - h**2 + 1. Let o(g) = -8*g**5 + 16*g**4 - 12*g**3 - 16*g**2 + 8*g + 12. Let j(y) = -12*k(y) + o(y). Let j(z) = 0. Calculate z.
-2, -1, 0, 1
Suppose -47*z = -46*z + 3*k - 14, 4*k - 12 = 2*z. Factor -1/5*u**3 - 1/5 + 1/5*u**z + 1/5*u.
-(u - 1)**2*(u + 1)/5
Let p be (4 + (-165)/12 - -9)/(-3). Solve z - p*z**3 + z**2 - 1/4*z**4 + 0 = 0 for z.
-2, -1, 0, 2
Let a(y) be the first derivative of -4/3*y**2 - 1/9*y**4 - 2/3*y**3 + 5*y + 3. Let o(t) be the first derivative of a(t). Determine g, given that o(g) = 0.
-2, -1
Let f(q) be the first derivative of -q**4/3 + 10*q**3/3 - 8*q**2 + 7*q + 5. Let n(u) be the first derivative of f(u). Factor n(l).
-4*(l - 4)*(l - 1)
Let -3 - 21*c**4 + 62*c**3 + 131*c**2 + 168*c - 140*c**3 + 40*c**2 - 16 - 41 = 0. Calculate c.
-5, -1, 2/7, 2
Let k(t) be the first derivative of -4/5*t**3 + 0*t + 6 - 1/4*t**4 - 2/5*t**2. Factor k(y).
-y*(y + 2)*(5*y + 2)/5
Let n be 2*2/16 - (-2)/(-8). Suppose -t + n*t = 4*t. Factor 5/4*v**3 + v + 2*v**2 + 1/4*v**4 + t.
v*(v + 1)*(v + 2)**2/4
Solve -10/3*g - 7/3*g**2 + 4/3*g**3 + 0 + 1/3*g**4 = 0 for g.
-5, -1, 0, 2
Let i(g) = -g**2 - 19*g - 62. Let n(c) = -c + 1. Let u(o) = i(o) - n(o). Let q be u(-13). Find a such that 0 + a - 5/4*a**3 + 3/4*a**4 - a**q = 0.
-1, 0, 2/3, 2
Let m(q) be the second derivative of -q**7/84 + q**6/30 - q**5/40 + 86*q - 3. Find y such that m(y) = 0.
0, 1
Let t(m) be the third derivative of 0 + 16*m**2 + 1/100*m**5 - 3/10*m**4 + 0*m + 18/5*m**3. Determine i, given that t(i) = 0.
6
Let j(l) be the second derivative of -l**4/6 + l**3/2 + 2*l**2 - 9*l. Let s be j(2). Factor -4/7*p**s + 0*p + 6/7*p**4 + 0 - 10/7*p**3.
2*p**2*(p - 2)*(3*p + 1)/7
Suppose -2*u + u = n - 5, 0 = u - 3*n + 3. Suppose a - 1 = -g, u*a - 2*a - 3*g - 9 = 0. Factor 0*f**2 - a*f**2 + 0*f**2 - f**2 + 4*f**4.
4*f**2*(f - 1)*(f + 1)
Suppose -10*p + 25 + 25 = 0. Let y(x) be the second derivative of 7/18*x**4 + 2*x + 0*x**2 + 0 + 1/6*x**p + 2/9*x**3. Factor y(l).
2*l*(l + 1)*(5*l + 2)/3
Let w(r) be the first derivative of r**4 + 30*r**2 - 28/3*r**3 - 1 - 36*r. Factor w(h).
4*(h - 3)**2*(h - 1)
Let y(t) be the third derivative of -t**6/60 + t**5/9 + 2*t**4/9 - 240*t**2. Factor y(o).
-2*o*(o - 4)*(3*o + 2)/3
Let w be 6*4/(-40)*51/(-17). Suppose -w*j - 6/5*j**2 + 0 + 3/5*j**3 = 0. Calculate j.
-1, 0, 3
Let f(l) be the third derivative of l**8/3920 + l**3/3 + 2*l**2. Let x(m) be the first derivative of f(m). Find g, given that x(g) = 0.
0
Let b(n) = n**3 + 3*n**2 - 2. Let u be b(-3). Let c = 6 - u. Determine i so that -13*i - 4*i + i + 0 - 20*i**2 - c*i**3 - 4 = 0.
-1, -1/2
Let k(s) = -s**3 + 4*s**2 + 16*s - 16. Let z(r) = -4*r**3 + 20*r**2 + 80*r - 80. Let t(u) = -16*k(u) + 3*z(u). Factor t(m).
4*(m - 2)*(m - 1)*(m + 2)
Suppose 0 = o - 4*o, 2*r + 2*o = 0. Let a(v) = v**3 + v**2 + v + 5. Let j be a(r). Factor -2*l**5 + j*l**5 - l**4 + 0*l**5 + l**5.
l**4*(4*l - 1)
Suppose 0 + 4*w**2 + 0*w - 1/5*w**3 = 0. Calculate w.
0, 20
Let 11*r**2 - 5*r**3 + 260 + 27*r**2 + 2*r**2 - 81*r + 5*r**2 + 321*r = 0. Calculate r.
-2, 13
Suppose k - 13*k = -48. Find s such that 4*s - s**k + 64*s**2 - 3*s**3 - 64*s**2 = 0.
-2, 0, 1
Let v(c) be the second derivative of -c**9/15120 - c**8/3360 - c**7/2520 - 5*c**4/6 - 9*c. Let d(t) be the third derivative of v(t). Let d(b) = 0. What is b?
-1, 0
Suppose 0 + 34/3*s**2 + 289/3*s + 1/3*s**3 = 0. What is s?
-17, 0
Let m(h) be the first derivative of -2*h**3/45 + 34*h**2/15 - 22*h/5 + 70. Factor m(b).
-2*(b - 33)*(b - 1)/15
Suppose 0*c**2 + 0*c - 1/2*c**5 + 0 - 2*c**4 - 3/2*c**3 = 0. Calculate c.
-3, -1, 0
Let j(v) be the first derivative of v**5/25 + 7*v**4/2 + 359*v**3/5 - 518*v