 be (-46)/(-54) - (-4)/(-6). Let x(u) be the second derivative of -y*u**3 - 2/9*u**2 + 1/18*u**5 + 0 + 1/27*u**4 + 2*u. Suppose x(p) = 0. Calculate p.
-1, -2/5, 1
Factor 5/2 + 30*n**2 - 25*n**3 - 15*n + 15/2*n**4.
5*(n - 1)**3*(3*n - 1)/2
Let r(n) be the second derivative of 1/30*n**4 - 1/5*n**3 + 2/5*n**2 - n + 0. Factor r(x).
2*(x - 2)*(x - 1)/5
Let h(b) be the second derivative of b**4/12 - b**3/3 - 4*b + 4. Factor h(s).
s*(s - 2)
Suppose -2*o = 5*g + 16, -4*g - 14 - 4 = -o. Let c(v) be the first derivative of -1 - 1/12*v**3 + 1/8*v**o + 0*v. Factor c(l).
-l*(l - 1)/4
Let p(m) be the third derivative of -m**6/40 - m**5/20 + m**4/8 + m**3/2 - m**2. Factor p(q).
-3*(q - 1)*(q + 1)**2
Let h be (0 + 1)*9/3. Factor g**4 + 0*g**2 + 4*g**5 + 2*g - g**2 - 2*g**5 - 5*g**h + g**5.
g*(g - 1)*(g + 1)**2*(3*g - 2)
Let d(z) be the first derivative of z**5/5 + z**4/2 - 4*z**3/3 - z**2 + 3*z + 56. Determine y so that d(y) = 0.
-3, -1, 1
Suppose -2 + 4*w**3 - 2/3*w**4 + 20/3*w - 8*w**2 = 0. Calculate w.
1, 3
Let l be ((-12)/(-1))/(-4)*-1. Determine f so that -3*f**l - 3*f**4 + 4*f**2 - f**4 + 5*f**3 + 2*f**4 = 0.
-1, 0, 2
Let b = 8 + 0. Suppose 0 = -b*y + 3*y + 25. Solve 1/2*x**y - x**4 + 0 + x**2 + 0*x**3 - 1/2*x = 0 for x.
-1, 0, 1
Let l(x) = -21*x**5 - 13*x**4 + 3*x**3 - 21*x + 13. Let k(z) = -10*z**5 - 6*z**4 + 2*z**3 - 10*z + 6. Let g(u) = -13*k(u) + 6*l(u). Find r, given that g(r) = 0.
-1, 0, 1
Let p(k) be the third derivative of k**7/210 + k**6/40 + k**5/30 + 4*k**2. Find d such that p(d) = 0.
-2, -1, 0
Suppose 0*n + 5 = -2*n - q, 5*q - 25 = 0. Let c be 6/(-15)*(n - 0). Let -3*d - 2 + 3*d**3 - 4*d**c + 5 + d**2 = 0. What is d?
-1, 1
Let u(o) be the first derivative of o**4/26 - 8*o**3/39 - 19*o**2/13 - 28*o/13 + 2. Factor u(y).
2*(y - 7)*(y + 1)*(y + 2)/13
Let k = -5 + 6. Let y be (k - 0)/(-2 - -3). Factor -3*m**3 - 2*m**3 + 4*m**3 - y - 3*m - 3*m**2.
-(m + 1)**3
Let p(u) be the first derivative of -2*u**5/75 - u**4/15 - u**3/15 - 2*u**2 + 1. Let l(z) be the second derivative of p(z). Factor l(k).
-2*(2*k + 1)**2/5
Solve 8/9 - 2/9*k**4 - 2/3*k**2 - 8/9*k + 8/9*k**3 = 0.
-1, 1, 2
Let x(t) be the third derivative of -t**8/141120 + t**6/5040 - t**5/20 - 6*t**2. Let b(r) be the third derivative of x(r). Factor b(q).
-(q - 1)*(q + 1)/7
Factor -2/3 + 2/3*t**2 + 0*t.
2*(t - 1)*(t + 1)/3
Let c(b) be the third derivative of -1/42*b**4 + 2*b**2 + 0*b + 0 + 1/21*b**3 + 1/210*b**5. Let c(q) = 0. What is q?
1
Suppose -4 = a, f - 3*a = -2*f + 36. Let z = -6 + f. Factor 4/7*t**z + 6/7*t**3 + 0 - 2/7*t.
2*t*(t + 1)*(3*t - 1)/7
Let p be 132/84 - 6/(-14). Let f(t) be the second derivative of 2*t + 1/6*t**4 - t**3 + p*t**2 + 0. Factor f(u).
2*(u - 2)*(u - 1)
Let y(k) be the first derivative of -2*k**3/9 - 4*k**2/3 - 8*k/3 + 3. Factor y(o).
-2*(o + 2)**2/3
Let v(y) be the third derivative of 13/18*y**5 + 0 + 19/36*y**4 + 1/7*y**7 + 2/9*y**3 + 4*y**2 + 31/60*y**6 + 0*y. What is a in v(a) = 0?
-1, -2/5, -1/3
Factor 211 - x**4 - 209 - 3*x + 3*x**3 + 0*x - x**2.
-(x - 2)*(x - 1)**2*(x + 1)
Let m(z) = 83*z**3 - 81*z**2 + 2*z + 12. Let a(g) = 333*g**3 - 324*g**2 + 9*g + 48. Let o(p) = 2*a(p) - 9*m(p). Suppose o(l) = 0. Calculate l.
-1/3, 2/3
Let v(s) be the first derivative of s**4 - 14*s**2 - 24*s - 19. Find x such that v(x) = 0.
-2, -1, 3
Let g(o) = -o**4 + o**3 - 4*o. Let k(c) = c. Let t(a) = -g(a) - 4*k(a). Factor t(h).
h**3*(h - 1)
Suppose -3*l + 2*z + 28 - 19 = 0, -l - 4*z = -3. Factor 0*b + 2/9*b**5 - 4/9*b**4 + 0 + 2/9*b**l + 0*b**2.
2*b**3*(b - 1)**2/9
Factor 96*p**2 - 200*p**2 - 2*p**3 + 78*p**2.
-2*p**2*(p + 13)
Let w(u) = 60*u**2 - 120*u + 60. Let s(c) = 5*c**2 - 10*c + 5. Let a(t) = 25*s(t) - 2*w(t). Suppose a(n) = 0. What is n?
1
Let c = -2/871 - -931/26130. Let w(h) be the third derivative of -c*h**5 + 0*h - 3*h**2 - 1/12*h**4 + 0 + 0*h**3. Factor w(r).
-2*r*(r + 1)
Let u(v) be the second derivative of -v**6/70 + 3*v**5/70 - v**4/28 - 21*v. What is i in u(i) = 0?
0, 1
Let z(a) be the second derivative of -a**4/28 - 2*a**3/7 - 9*a**2/14 - 14*a. Find h such that z(h) = 0.
-3, -1
Let d = -318 + 318. Factor 2/3*g + d - 8/3*g**2.
-2*g*(4*g - 1)/3
Let y(v) be the third derivative of -v**9/3024 + v**7/840 + v**3/2 - 2*v**2. Let q(d) be the first derivative of y(d). Determine x so that q(x) = 0.
-1, 0, 1
Let i(l) = l + 7. Let u be i(-6). Let c = 3 + u. Let 2/7 - 4/7*k**2 + 2/7*k**c + 0*k**3 + 0*k = 0. Calculate k.
-1, 1
Suppose 0 = -10*s + 2 + 8. Let t(z) be the first derivative of s - z**2 + z + 1/3*z**3. Let t(x) = 0. What is x?
1
Let j = -37 + 37. Let y(f) be the second derivative of 0*f**4 + j*f**2 - 1/60*f**5 + 4*f + 0 + 1/18*f**3. Solve y(a) = 0 for a.
-1, 0, 1
Let w(z) = z**2 - 3*z. Let b(t) = -2*t**2 + 7*t. Suppose 0 = -3*c - k - 16, 0 = -2*c - 3*c - k - 24. Let m(y) = c*b(y) - 9*w(y). Factor m(u).
-u*(u + 1)
Let t be 1 + 0 + (2 - 2). Let y = t + 5. Let 2*x - x**3 - 3*x**3 + y*x**4 + 2*x**3 - 6*x**2 = 0. What is x?
-1, 0, 1/3, 1
Find g, given that 2/7*g**2 + 0 - 4/7*g = 0.
0, 2
Let v(b) be the first derivative of b**8/1008 - b**7/315 + b**6/360 + b**2 + 2. Let z(a) be the second derivative of v(a). Factor z(c).
c**3*(c - 1)**2/3
Factor -5*v**2 - 20 + 11*v + v + 13*v - 5*v.
-5*(v - 2)**2
Let k(n) be the first derivative of 3*n**5/10 - 3*n**4/8 - 3*n**3/2 + 3*n**2/4 + 3*n + 4. Factor k(v).
3*(v - 2)*(v - 1)*(v + 1)**2/2
Solve 4 + 0*o**2 - 4*o**2 - 2 - o**2 + 3*o = 0.
-2/5, 1
Let z(u) be the third derivative of u**5/80 - u**4/16 - 23*u**2. What is k in z(k) = 0?
0, 2
Let p = 61/2 - 30. What is u in 5/4*u + 3/4*u**2 - 1/4*u**4 + p - 1/4*u**3 = 0?
-1, 2
Let m(u) = -5*u - 6. Let w(p) = p. Let o(g) = m(g) + 4*w(g). Let l be o(-8). Factor 2*t**4 + t**2 - 2*t**5 - 4*t**l + t**2 + 2*t**3.
-2*t**2*(t - 1)**2*(t + 1)
Suppose -2*k + 5 = -1. Let i(a) = 5*a**4 - 2*a**3 + a**2 - a + 3. Let u(s) = -16*s**4 + 6*s**3 - 4*s**2 + 4*s - 10. Let t(n) = k*u(n) + 10*i(n). Factor t(v).
2*v*(v - 1)**2*(v + 1)
Let d(b) be the second derivative of -4/15*b**3 - 1/30*b**4 - 4/5*b**2 + 0 - 2*b. Factor d(j).
-2*(j + 2)**2/5
Let c(l) be the first derivative of l**6/420 + l**5/210 - l**2 - 2. Let p(g) be the second derivative of c(g). Factor p(t).
2*t**2*(t + 1)/7
Let i(k) be the first derivative of k**4 - 8*k**3/3 - 8*k**2 + 32*k + 5. What is j in i(j) = 0?
-2, 2
Let l(z) = -7*z - 423. Let c be l(-61). Determine h so that 0 + 2/7*h + 2/7*h**c + 6/7*h**2 + 6/7*h**3 = 0.
-1, 0
Let t(h) = 5*h**5 - 13*h**4 + 18*h**3 + 10*h**2 - 26*h. Let l(r) = -r**5 - r**4 + r**2 + r. Let p(k) = -2*l(k) - t(k). Suppose p(q) = 0. What is q?
-1, 0, 2
Let l = -2/99 - -107/396. Suppose -48*r + 10 = -43*r. Factor l*m**r - 1/2*m**3 + 1/4*m + 0.
-m*(m - 1)*(2*m + 1)/4
Factor -8*p**3 - 58*p - p**5 + 62*p + 5*p**5.
4*p*(p - 1)**2*(p + 1)**2
Let s be (20/(-12))/((-3)/45). Suppose -4*f - q = -0 - 5, -2*f + 5*q = s. Factor 1/4*v**2 + f + 0*v.
v**2/4
Let d(z) = -z**2 - 45*z - 324. Let g be d(-36). Factor 0*u + 2/3*u**2 - 2/3*u**5 + g + 2/3*u**3 - 2/3*u**4.
-2*u**2*(u - 1)*(u + 1)**2/3
Let r be (-1)/5 - (-928)/3640. Let p = 3/13 + r. Let 2/7*w**2 - 2/7*w**4 - 2/7*w**3 + 0*w + p*w**5 + 0 = 0. What is w?
-1, 0, 1
Let o be (0 - (-4)/(-16))/((-2)/4). Let p(d) be the first derivative of -1/10*d**5 + o*d**3 + 3 - 1/2*d**2 + 0*d**4 + 0*d. Factor p(r).
-r*(r - 1)**2*(r + 2)/2
Let i = -3 - -5. Suppose 4*s - 6 = 3*s. Factor 4*v**2 + 3*v**2 - 4*v**i - s*v**2.
-3*v**2
Let x = -27 - -38. Let v = -8 + x. Factor -2*m**4 - m**3 + 2*m**5 + 2*m**2 + 0*m**v - m**5.
m**2*(m - 2)*(m - 1)*(m + 1)
Let o be (2 + 10 - 0)*19/57. Let z(c) be the first derivative of 1/3*c**3 + 0*c**2 + 1/5*c**5 + 1/2*c**o + 0*c + 3. Factor z(u).
u**2*(u + 1)**2
Let t be ((-8)/(-20))/((-2)/(-20)). Suppose -t*s + 6 = -6. Determine y so that 1/2*y**s + 0*y**2 + 0*y**4 + 0 - 1/4*y - 1/4*y**5 = 0.
-1, 0, 1
Let l = 5/14 + 1/7. Let b(u) be the first derivative of -1/12*u**3 - 4 - l*u - 3/8*u**2. Factor b(p).
-(p + 1)*(p + 2)/4
Let y = 719 - 43139/60. Let v(f) be the second derivative of 0*f**3 - y*f**4 + f + 0 + 0*f**2. Factor v(x).
-x**2/5
Let w(k) be the first derivative of 3*k**5/5 + 3*k**4/2 - 3*k**3 - 12*k**2 - 12*k - 8. Factor w(b).
3*(b - 2)*(b + 1)**2*(b + 2)
Let u(j) = j**2 + j + 3. Let b be u(-7). Let c be ((-2)/(-6))/(25/b). Factor 1/5*h**3 + c*h + 1/5 + 3/5*h**2