 = 0.
0
Let g be (-9)/2*48/(-54). Let x(o) be the second derivative of o + 0 + 0*o**2 - 1/4*o**g + 1/2*o**3. Factor x(m).
-3*m*(m - 1)
Let y(w) = 7*w**2 - 2*w - 4. Let j(r) = r - 11. Let t be j(6). Let h(c) = -4*c**2 + c + 2. Let s(a) = t*h(a) - 3*y(a). Determine f, given that s(f) = 0.
-1, 2
Let t = -13154/17 + 774. Let a = t - -9/34. Factor -1/3*v + 1/6*v**4 - a*v**2 + 0*v**3 + 0.
v*(v - 2)*(v + 1)**2/6
Let l be 4/(-1 + (-3)/(-2)). Suppose l = 5*t - 2. Factor 0*r - 2/3*r**t + 0.
-2*r**2/3
Let u(k) be the first derivative of 2*k**5/5 + 3*k**4/10 - 4*k**3/15 - 6. Factor u(b).
2*b**2*(b + 1)*(5*b - 2)/5
Let l(s) = -44*s**4 - 26*s**3 + 12*s**2 - 2*s. Let f(o) = -43*o**4 - 25*o**3 + 13*o**2 - 2*o. Let h(i) = 4*f(i) - 3*l(i). Let h(p) = 0. Calculate p.
-1, 0, 1/5, 1/4
Let a(y) = y**2 + 5*y - 1. Let n be a(-9). Factor -19*r**2 + 26*r**3 + 21*r + 9*r**5 - n*r**2 + 40*r**3 - 3 - 39*r**4.
3*(r - 1)**4*(3*r - 1)
Let f(o) be the third derivative of -1/54*o**4 + 0*o + 0 - 2*o**2 - 1/27*o**3 - 1/270*o**5. Factor f(a).
-2*(a + 1)**2/9
Let v(h) be the third derivative of -h**5/20 + 8*h**2. Factor v(n).
-3*n**2
Let a(w) be the first derivative of -1/30*w**5 + 0*w**3 - w + 1/36*w**4 - 1 + 1/90*w**6 + 0*w**2. Let k(q) be the first derivative of a(q). Factor k(h).
h**2*(h - 1)**2/3
Let c(i) = 3*i**4 + 4*i**3 + i**2 + 2*i + 2. Let p(g) = 7*g**4 + 9*g**3 + 2*g**2 + 5*g + 5. Let w be 48/28 + (-2)/(-7). Let b(o) = w*p(o) - 5*c(o). Factor b(x).
-x**2*(x + 1)**2
Let n(v) be the first derivative of v**3/18 + v**2/12 - v + 16. Solve n(h) = 0 for h.
-3, 2
Let n be ((4/42)/(-1))/(40/(-120)). Let x = -1 - -1. Find l, given that 0 + x*l + n*l**2 = 0.
0
Let m(n) be the first derivative of -n**5/5 - n**4/2 + n**2 + n - 12. Solve m(o) = 0.
-1, 1
Let l be ((-19)/2)/(2/(-4)). Solve 12*h**3 + 5*h**2 + 6 + l*h**2 + 10*h + 2*h**4 + 6*h + 4*h = 0.
-3, -1
Let v(i) be the third derivative of 1/6*i**4 - 3*i**2 + 7/60*i**6 + 0*i + 0*i**3 - 3/10*i**5 + 0. Factor v(n).
2*n*(n - 1)*(7*n - 2)
Let r(f) be the second derivative of f**7/105 + f**6/15 + f**5/5 + f**4/3 + f**3/3 + f**2 + f. Let l(p) be the first derivative of r(p). What is d in l(d) = 0?
-1
Factor t - 1/2*t**2 - 1/2.
-(t - 1)**2/2
Let z be 4/1 - (-2877)/(-360) - -4. Let m(u) be the third derivative of 1/6*u**3 - 1/60*u**5 + 0*u - z*u**6 + 0 + 3*u**2 + 1/24*u**4. Factor m(t).
-(t - 1)*(t + 1)**2
Suppose 0 = -6*w - 74 + 14. Let k be ((16/w)/(-2))/2. Suppose -4/5*z**3 + k*z**4 + 0*z + 2/5*z**2 + 0 = 0. Calculate z.
0, 1
Let f = 32076/25 + -1282. Let b(g) be the first derivative of -9/10*g**4 + 1 - 2/15*g**3 - 1/3*g**6 + 0*g + 2/5*g**2 + f*g**5. Determine c so that b(c) = 0.
-2/5, 0, 1
Let w(j) be the first derivative of j**4/2 + 4*j**3 + 12*j**2 + 16*j + 29. Factor w(v).
2*(v + 2)**3
Let z = -286 - -1432/5. Factor -z*q**2 - 2/5*q**3 + 0 + 0*q.
-2*q**2*(q + 1)/5
Let 0 - 2/7*j**3 - 2/7*j**2 + 0*j = 0. Calculate j.
-1, 0
Let b = 78934 + -553726/7. Let w = 170 + b. Find d such that -2/7 - 2/7*d**3 + w*d**2 + 2/7*d = 0.
-1, 1
Suppose 3*b = -0*b + 2*u + 6, 5*b + 3 = -u. Factor 6*t + 0 + 4*t**3 + b + 16*t**2 + 10*t.
4*t*(t + 2)**2
Let u(v) be the third derivative of -4/315*v**7 + 0*v + 1/378*v**8 + 1/60*v**6 + 6*v**2 + 0*v**4 + 0*v**3 - 1/135*v**5 + 0. Factor u(f).
2*f**2*(f - 2)*(2*f - 1)**2/9
Let s(y) be the second derivative of y**6/40 + 3*y**5/80 - 15*y**4/16 + 23*y**3/8 - 15*y**2/4 - 11*y. Factor s(k).
3*(k - 2)*(k - 1)**2*(k + 5)/4
Let h be (-1)/4 + 36/16. Let r(k) = 5*k**2 - 5*k - 9. Let g(t) = t**2 - t - 2. Let w(z) = h*r(z) - 9*g(z). Factor w(a).
a*(a - 1)
Let t be ((-12)/(-15))/((72/15)/4). Let t*i**2 - 4/3 + 2/3*i = 0. Calculate i.
-2, 1
Let w(y) = -3 + 4 + 0 + 0 - y. Let p be w(-1). Solve 2/9*s + 0 - 2/9*s**p = 0.
0, 1
Suppose 0 = 2*l - 3*y + 9 + 2, 0 = -3*l - 3*y + 21. Factor 3*h**2 + 2 - 4*h - 2*h**l + h**2.
2*(h - 1)**2
Let s = 0 - 1. Let i be (-2)/s - (-1 - -1). Find n, given that 1 + i*n - 3*n - n**2 + 2*n**3 - n**3 = 0.
-1, 1
Let a(w) be the third derivative of -w**8/224 - w**7/420 + w**6/48 + w**5/120 - w**4/24 + 20*w**2. Solve a(t) = 0.
-1, 0, 2/3, 1
Let h(n) be the third derivative of n**8/560 + n**7/280 - n**6/120 - n**5/40 - n**3 - n**2. Let o(z) be the first derivative of h(z). Factor o(i).
3*i*(i - 1)*(i + 1)**2
Let n(w) = w**2 + 2*w. Let v be n(-3). Suppose -d = 0, -d = -3*z + v*d. Suppose -2/3*a**3 - 2/3*a**4 + 0 + z*a**2 + 0*a = 0. What is a?
-1, 0
Let 9*y - 2*y + 2*y - 24*y**2 + 15*y**3 = 0. Calculate y.
0, 3/5, 1
Let q(u) be the first derivative of u**6/240 + u**5/80 - u**3/3 - 8. Let s(t) be the third derivative of q(t). Factor s(o).
3*o*(o + 1)/2
Suppose 3*q = 8 + 4. Let z be 2/(-4) + 10/q. Determine o so that -3*o**z + o**3 + o**2 + 6*o - 5*o = 0.
0, 1
Let z be (-2)/(0 - 2) - -4. Let h(m) be the second derivative of 8*m**2 + 0 - 28/3*m**3 - 4*m - 9/10*m**5 + z*m**4. Factor h(r).
-2*(r - 2)*(3*r - 2)**2
Let f(t) = t**3 - 5*t**2 + 11*t - 10. Let l be f(3). Let r(m) be the third derivative of -3/20*m**l + 0 + 0*m + 1/2*m**4 - m**2 + 2*m**3. Factor r(j).
-3*(j - 2)*(3*j + 2)
Let r(w) = -5*w**5 + 5*w**3 - 7*w**2 + 7*w + 7. Let f(m) = 2*m**5 - 2*m**3 + 3*m**2 - 3*m - 3. Let a(u) = 7*f(u) + 3*r(u). What is c in a(c) = 0?
-1, 0, 1
Factor 5/4*x**3 - 1/4*x**4 - 9/4*x - 3/4*x**2 + 0.
-x*(x - 3)**2*(x + 1)/4
Let g = -40 - -42. Let s(l) be the first derivative of 1 - 1/9*l**g + 10/27*l**3 - 2/9*l - 1/6*l**4. Solve s(i) = 0 for i.
-1/3, 1
Factor 5*a**4 - 2*a**2 - 4*a**4 + a**2 + 0*a**2.
a**2*(a - 1)*(a + 1)
Let x(h) = -10*h**4 - 6*h**3 + 2*h**2 - 6*h - 10. Let q(y) = -y**4 - y**3 - y**2 - y - 1. Let v(l) = -6*q(l) + x(l). Factor v(p).
-4*(p - 1)**2*(p + 1)**2
Let m(l) = 2*l + 8. Let c be m(-4). Let t(s) be the third derivative of 1/10*s**5 - 1/60*s**6 + 1/3*s**3 + 0*s - s**2 + c - 1/4*s**4. Factor t(x).
-2*(x - 1)**3
Let u(o) be the first derivative of -1/6*o**2 - 1/12*o**4 - 2/9*o**3 + 0*o - 4. Determine d so that u(d) = 0.
-1, 0
Solve 0 - 3/2*q**2 - 1/2*q**3 - 1/2*q + q**5 + 3/2*q**4 = 0.
-1, -1/2, 0, 1
Suppose -g - 2*g = 3*u + 6, -4*u - g = 2. Suppose -c + 2 = -q, -4*q + 3*c + 2*c - 10 = u. Factor -8/3*z**3 - 2/3*z + 10/3*z**2 + q.
-2*z*(z - 1)*(4*z - 1)/3
Let h(v) = v**2 - 6*v + 9. Let z be h(5). Let m(t) be the third derivative of 0*t + 1/24*t**z - 1/120*t**5 + 0 + 2*t**2 + 0*t**3. Factor m(r).
-r*(r - 2)/2
Let k(a) = 5*a**2 - 8*a + 1. Let b = 14 - 8. Suppose 9 = -5*l - b. Let w(g) = -6*g**2 + 9*g. Let y(m) = l*k(m) - 2*w(m). Factor y(p).
-3*(p - 1)**2
Let f(d) = d**4 - 3*d**3 - 2*d**2 + 3*d + 4. Let g(m) = m**3 - m - 1. Let u(b) = -4*f(b) - 12*g(b). Factor u(o).
-4*(o - 1)**2*(o + 1)**2
Let s be (-1*1)/((-4)/8). Find x such that 0 - s + 2*x**4 - 3*x**3 + 4*x - x**3 = 0.
-1, 1
Let a(x) = -6*x**3 + 5*x**2 - 3*x. Let s(t) = 10*t**3 + 4*t + t**3 + 4*t - 14*t**2 + 6*t**3. Let u(j) = -8*a(j) - 3*s(j). Suppose u(b) = 0. Calculate b.
0, 2/3
Let z be 3/(-3*(-6)/4). Let x be 2/18 + 46/207. Factor z*b - 2/3*b**3 + x*b**4 + 0 - 1/3*b**2.
b*(b - 2)*(b - 1)*(b + 1)/3
Let a(k) be the second derivative of -k**5/5 + 2*k**3/3 + 11*k. Factor a(w).
-4*w*(w - 1)*(w + 1)
Let c(u) be the second derivative of 0 + 1/30*u**6 + 0*u**4 - 1/10*u**5 + 1/3*u**3 - 1/2*u**2 + 4*u. Let c(o) = 0. Calculate o.
-1, 1
Let p(f) = -f**5 - 6*f**3 - f. Let u(s) = -s**4 - s**2. Let n(k) = -3*p(k) - 12*u(k). Determine q, given that n(q) = 0.
-1, 0
Suppose -9*o = -19*o + 30. Factor -1/4*d**2 - 1/4*d + 1/4*d**4 + 0 + 1/4*d**o.
d*(d - 1)*(d + 1)**2/4
Let p(c) be the second derivative of -c**4/10 + c**3/3 - 2*c**2/5 + 4*c. Factor p(m).
-2*(m - 1)*(3*m - 2)/5
Let y(s) = 10*s**3 - 13*s**2 - s + 4. Let v(m) = -21*m**3 + 27*m**2 + 3*m - 9. Let r be 4*(-2 - -3 - 2). Let n(g) = r*v(g) - 9*y(g). Let n(u) = 0. What is u?
0, 1/2, 1
Let m(q) = -17*q**4 - 53*q**3 - 72*q**2 - 36*q. Let f(j) = 11*j**4 + 35*j**3 + 48*j**2 + 24*j. Let r(z) = -8*f(z) - 5*m(z). Factor r(b).
-3*b*(b + 1)*(b + 2)**2
Let f = -10 + 13. Suppose 0 = -3*g - f + 12. Find r such that -2*r**2 - 1 - 3*r**g + 3*r**2 + 0 + 4*r**3 - r = 0.
-1, 1
Find i such that -6/7*i**2 - 1/7*i + 0 = 0.
-1/6, 0
Let m(w) be the second derivative of w**6/50 + 9*w**5/100 - 2*w**3/5 + 6*w. Factor m(l).
3*l*(l - 1)*(l + 2)**2/5
Let m(j) be the first derivative of j**6/2 - 9*j**4/4 + 2*j**3 - 5. Let m(y) = 0. What is y?
-2