 z, given that -2/11*z + 2/11*z**3 - p*z**2 + 2/11 = 0.
-1, 1
Let h be (17/7 - 3)/(24/(-140)). Suppose 0 - 2*f**4 + h*f**3 + 0*f + 4/3*f**2 = 0. What is f?
-1/3, 0, 2
Find p, given that 2*p**2 - 5/2*p + 0 + p**4 + 11/2*p**3 = 0.
-5, -1, 0, 1/2
Let l(f) be the first derivative of -3/25*f**5 - 12/5*f**2 + 48/5*f + 6/5*f**4 - 3*f**3 + 25. Solve l(z) = 0 for z.
-1, 1, 4
Determine z, given that -26/3 + 76/9*z + 2/9*z**2 = 0.
-39, 1
Let z = 519 - 1037/2. Factor -1/4*y**2 + 1/4*y + z.
-(y - 2)*(y + 1)/4
Let y(m) be the second derivative of 0 + 0*m**2 + 8*m + 1/190*m**5 - 2/57*m**4 + 0*m**3. Solve y(r) = 0 for r.
0, 4
Let a(r) be the second derivative of r**7/20160 + r**6/5760 - 3*r**4/4 + 12*r. Let u(p) be the third derivative of a(p). Let u(n) = 0. What is n?
-1, 0
Let v(h) = -h. Let w be 33*(-10)/(-45)*-3. Let y(g) = g**2 - 10*g - 2. Let j(s) = w*v(s) + 2*y(s). Factor j(n).
2*(n - 1)*(n + 2)
Factor -21*c + 5*c**5 + 30*c**4 - 55*c**2 - 15*c**3 - 45*c**2 - 24*c + c - 16*c.
5*c*(c - 2)*(c + 1)**2*(c + 6)
Suppose 0 = -7*u - 364 + 378. Suppose -3/8*y**u - 3/4 - 9/8*y = 0. Calculate y.
-2, -1
What is j in 81 + 84*j + 60*j + j**3 - 45*j - 20*j**2 + 39*j**2 = 0?
-9, -1
Let q = -24 - -12. Let f = q - -18. Factor -2 + 2*v**3 + v**3 + 5*v**3 - 2*v - f*v**3 + 2*v**2.
2*(v - 1)*(v + 1)**2
Let f(o) be the second derivative of -o**6/55 + 3*o**5/55 + 4*o**4/11 - 18*o**3/11 + 27*o**2/11 - 2*o - 117. What is n in f(n) = 0?
-3, 1, 3
Let p(h) be the second derivative of -4/15*h**3 - 1/15*h**4 + 0 + 3*h + 6/5*h**2. Factor p(a).
-4*(a - 1)*(a + 3)/5
Let v(z) be the third derivative of -z**6/96 + 3*z**5/16 - 5*z**4/4 + 25*z**3/6 + 135*z**2. Let v(m) = 0. What is m?
2, 5
Determine u, given that -1/2*u**3 + 4*u + u**2 + 0 = 0.
-2, 0, 4
Let m(u) = u**2 + 7*u - 5. Let f be m(-8). Suppose 4*y = 17 + f, -5*y = -5*j. Solve 4*r**4 + 6*r**4 + 12*r**2 + 20*r**3 + 2*r**j + 10*r - 1 + 3 + 8*r**2 = 0.
-1
Let p be (-2)/(-13) - 250/(-65). Factor 6*d + 0*d**p - 41*d**5 - 4*d**3 - 4*d**2 + 6*d**4 + 39*d**5 - 2.
-2*(d - 1)**4*(d + 1)
Let k(r) be the second derivative of -r**4/12 + 2*r**3/3 + r - 3. Let k(n) = 0. Calculate n.
0, 4
Solve -2/5*m**3 + 2/5*m**2 - 24/5 + 16/5*m = 0 for m.
-3, 2
Let j(g) be the third derivative of g**6/72 - 5*g**5/24 + 5*g**4/4 - 3*g**3 - 6*g**2. Let k(t) be the first derivative of j(t). Factor k(h).
5*(h - 3)*(h - 2)
Let v(f) be the first derivative of -f**3 - 27*f**2/2 + 66*f - 23. Suppose v(b) = 0. Calculate b.
-11, 2
Let v(u) be the second derivative of -12*u + 0*u**2 - 7/6*u**6 + 0*u**3 + 0 - 4*u**5 - 5/3*u**4. Suppose v(z) = 0. What is z?
-2, -2/7, 0
Let z(d) be the second derivative of 16/9*d**2 - 41*d + 1/135*d**6 + 16/27*d**3 + 1/189*d**7 - 4/27*d**4 + 0 - 4/45*d**5. Let z(r) = 0. Calculate r.
-2, -1, 2
Factor 0 - 74*t - 3*t**3 + 0 + 80*t - 3*t**2.
-3*t*(t - 1)*(t + 2)
Let i = 4 - 4. Suppose -3*g - 7 + 16 = i. Factor -4*p**2 + 8*p + 2/3*p**g - 16/3.
2*(p - 2)**3/3
Let v(j) = j + 2. Let a be v(3). Suppose -33*n + 13*n = -60. Factor 2*o**n - 5*o**2 - o**a + 2*o**4 - o**5 + 3*o**2.
-2*o**2*(o - 1)**2*(o + 1)
Factor 4 + 5*q**3 + 26*q**2 - 5*q - 47*q**2 - 74*q**2 + 91.
5*(q - 19)*(q - 1)*(q + 1)
Let i(v) = 5*v**2 + 2*v - 5. Let f be i(1). Let h be 10/4*(-12)/(-10). Factor -4*n**4 + 2*n**4 - 6*n**h - 2*n - 11*n**f + 5*n**2.
-2*n*(n + 1)**3
Suppose 0 - 1/3*m**4 + 1/6*m**5 + 3*m**2 - 2*m**3 + 9/2*m = 0. Calculate m.
-3, -1, 0, 3
Factor -27/4 - 3/8*y**2 + 57/8*y.
-3*(y - 18)*(y - 1)/8
Let m(g) = 29*g + 178. Let v be m(-6). Let u(t) be the second derivative of -3*t + 0*t**2 + 0 + t**3 + 1/4*t**v. Factor u(b).
3*b*(b + 2)
Let i(l) be the third derivative of l**5/120 + 23*l**4/24 - 47*l**3/12 - 295*l**2. Find w, given that i(w) = 0.
-47, 1
Suppose 25*m - 8 + 19*m**2 + 16*m**3 + 8*m**5 - 30*m**4 + 0*m**5 - 49*m + 19*m**2 = 0. What is m?
-1, -1/4, 1, 2
Let x = -714 - -714. Let c be 9/(-15) + (2 - 1). Determine g so that 2/5*g + x + c*g**2 = 0.
-1, 0
Let k = -48/233 - -706/1165. Factor 0 - 2/5*q**4 - 6/5*q**3 - k*q - 6/5*q**2.
-2*q*(q + 1)**3/5
Let b(a) be the third derivative of -a**8/1008 - 17*a**7/315 - 107*a**6/120 - 136*a**5/45 - 32*a**4/9 + 362*a**2. Factor b(q).
-q*(q + 1)**2*(q + 16)**2/3
Suppose -54 = -33*g + 1 + 11. Factor 14/3*v**3 + 2/3*v**4 + 12*v**g + 40/3*v + 16/3.
2*(v + 1)*(v + 2)**3/3
Let m be (1/2)/((-15)/(-6) - 2). Let b(l) be the first derivative of 1/2*l**2 - 1/5*l**5 + 3/4*l**4 + m + 0*l - l**3. Determine v, given that b(v) = 0.
0, 1
Factor -6/5*f + 0 - 3/5*f**2 + 6/5*f**3 + 3/5*f**4.
3*f*(f - 1)*(f + 1)*(f + 2)/5
Suppose 18/11*a + 1/11*a**3 + a**2 + 0 = 0. Calculate a.
-9, -2, 0
Let i(c) be the first derivative of 11 + 4/15*c**3 + 12/5*c + 8/5*c**2. Find j, given that i(j) = 0.
-3, -1
Let c(t) be the second derivative of -t**7/56 - t**6/2 - 6*t**5 - 40*t**4 - 160*t**3 - 384*t**2 + 16*t - 2. Factor c(i).
-3*(i + 4)**5/4
Let c be ((-18)/(-378))/((-2)/(-72))*49/5. Factor -4 - 16/5*d**2 - c*d.
-4*(d + 5)*(4*d + 1)/5
Let r(t) = 9*t**5 + 8*t**4 - t**3 - 45*t**2 - 20*t. Let q(p) = 11*p**5 + 8*p**4 - 46*p**2 - 19*p. Let a(c) = 5*q(c) - 6*r(c). Factor a(b).
b*(b - 5)**2*(b + 1)**2
Factor 0 - 22*z**2 + 5/2*z**3 + 7/2*z**4 + 6*z.
z*(z - 2)*(z + 3)*(7*z - 2)/2
Let i(n) be the second derivative of n**8/30240 - n**6/1080 + n**5/270 + 5*n**4/6 + 9*n. Let q(y) be the third derivative of i(y). Factor q(o).
2*(o - 1)**2*(o + 2)/9
Let w(d) be the second derivative of 1/273*d**7 + 2/39*d**3 + 1/39*d**6 + 9/130*d**5 + 7/78*d**4 - 16*d + 0*d**2 + 0. Factor w(f).
2*f*(f + 1)**3*(f + 2)/13
Let q(f) = -f**3 + 6*f**2 + 5. Let m be q(6). Factor -31*x - 5*x**4 - 37*x - 15*x**3 - m*x**2 + 83*x + 10.
-5*(x - 1)*(x + 1)**2*(x + 2)
Let c(m) be the second derivative of 0*m**3 + 1/84*m**7 + 37*m + 0 - 1/60*m**6 + 0*m**4 - 1/20*m**5 + 0*m**2. Factor c(w).
w**3*(w - 2)*(w + 1)/2
Let q(n) be the third derivative of 0*n**4 + 0*n**3 + 0*n + 1/180*n**5 + 12*n**2 + 0 - 1/360*n**6. Let q(u) = 0. Calculate u.
0, 1
Suppose 11*i + 5*y = 6*i + 375, -3*i - 5*y + 221 = 0. Let b be (i/(-20) + 4)*(-8)/(-9). Factor -b*s**3 + 0*s + 2/15*s**2 + 2/15*s**5 + 0 - 2/15*s**4.
2*s**2*(s - 1)**2*(s + 1)/15
Factor 1/4*w**4 + 1/2 - 1/4*w**3 - 3/4*w**2 + 1/4*w.
(w - 2)*(w - 1)*(w + 1)**2/4
Let m(q) be the first derivative of 16/3*q + 1/6*q**4 + 14 + 4*q**2 + 4/3*q**3. Factor m(c).
2*(c + 2)**3/3
Let m(u) = 10*u. Let w be m(1). Let -w*i + 4 - 1 - 3 + 15*i**2 - 5*i**4 = 0. Calculate i.
-2, 0, 1
Let z(v) = -20*v**2 + 20. Let b = 1 - -3. Let y(o) = o**3 + 20*o**2 - o - 20. Let f(l) = b*y(l) + 3*z(l). Factor f(j).
4*(j - 1)*(j + 1)*(j + 5)
Suppose 4*a - 6 = 3*g, 2*a - 13 = -3*a + g. Factor 159*x**5 + 16*x**a - 4*x**2 - 3*x**4 - 11*x**4 - 4*x - 155*x**5 + 2.
2*(x - 1)**4*(2*x + 1)
Let c be 25/(250/20) + 0. Let x(h) be the first derivative of -1/5*h**4 + 4/15*h**3 + 4 - 2/5*h + 1/15*h**6 - 2/25*h**5 + 1/5*h**c. Factor x(p).
2*(p - 1)**3*(p + 1)**2/5
Factor -5/3*p + 4/3 + 1/3*p**2.
(p - 4)*(p - 1)/3
Let j(q) = 7*q**3 - 19*q**2 - 41*q - 21. Let f(w) = 20*w**3 - 58*w**2 - 125*w - 64. Let o(c) = -6*f(c) + 17*j(c). Suppose o(l) = 0. Calculate l.
-1, 27
Let k(o) be the third derivative of -o**7/350 - 51*o**6/200 + 159*o**5/100 - 161*o**4/40 + 27*o**3/5 - 71*o**2 + 2. Factor k(u).
-3*(u - 1)**3*(u + 54)/5
Let l(c) be the first derivative of 5 - 9*c + 1/30*c**5 + 0*c**4 - 1/9*c**3 + 1/90*c**6 - 1/6*c**2. Let a(r) be the first derivative of l(r). Factor a(d).
(d - 1)*(d + 1)**3/3
Let u = -23 + 32. Let o = -4 + u. Determine g, given that 3*g**3 + 8*g**o - 4*g + 2*g + 22*g**4 - 17*g**3 + 32*g**3 + 2*g**2 = 0.
-1, 0, 1/4
Let n(q) = 13*q**2 + 31*q - 14. Let y(a) = -2*a**2 - a + 1. Let u(l) = 4*n(l) + 20*y(l). Factor u(k).
4*(k + 9)*(3*k - 1)
Let l = -502/15 + 101/3. Determine d so that 1/5*d - 1/5 - l*d**3 + 1/5*d**2 = 0.
-1, 1
Let z(c) be the second derivative of c**8/13440 + c**7/5040 - 2*c**4 - 24*c. Let b(y) be the third derivative of z(y). Factor b(d).
d**2*(d + 1)/2
Let u(r) = 2*r**3 + r**2 - 3*r. Let t be u(0). Let g(i) be the first derivative of -1/3*i**3 + 1/4*i**4 + t*i**2 - 3 + 0*i. Let g(o) = 0. What is o?
0, 1
Let f be ((-5)/(-4))/(5/6). Let s(r) be the second derivative of -f*r**2 - 2*r + 1/4*r**4 + 0*r**3 + 0. Find o, given that s(o) = 0.
-1, 1
Suppose 3*o**3 - 11*o**3 - 48*o**2 + 2298 + 24*o**4 - 2274 + 4