second derivative of -k**5/5 + 2*k**4/3 - 5*k. Factor b(s).
-4*s**2*(s - 2)
What is m in -4/7*m**2 + 0 + 0*m = 0?
0
Let u(j) = -j**2 - 13*j + 34. Let g be u(-15). Let n(o) be the second derivative of 0 + 1/30*o**g + 0*o**3 - 2*o + 0*o**2. Factor n(t).
2*t**2/5
Let q(n) be the second derivative of n**6/135 + n**5/30 - n**4/54 - n**3/9 + 22*n. Find p, given that q(p) = 0.
-3, -1, 0, 1
Let n(r) be the second derivative of r**4/36 - 11*r**3/9 + 121*r**2/6 + 6*r. Factor n(f).
(f - 11)**2/3
Let i(s) be the second derivative of -s**6/105 - 3*s**5/35 - 13*s**4/42 - 4*s**3/7 - 4*s**2/7 - 3*s. Find j such that i(j) = 0.
-2, -1
Let c(l) = 12*l**3 + 16*l**2 + 12*l + 6. Let j(i) = i**4 - 25*i**3 - 31*i**2 - 23*i - 13. Let t(u) = -5*c(u) - 2*j(u). Factor t(f).
-2*(f + 1)**3*(f + 2)
Let x(p) = 3*p + 16. Let h be x(-4). Find u such that 0*u**2 + 6/5 - 36/5*u**h - 27/5*u + 57/5*u**3 = 0.
-2/3, 1/4, 1
Let x(z) be the third derivative of z**7/840 + z**6/160 + z**5/80 + z**4/96 - 9*z**2. Solve x(j) = 0.
-1, 0
Suppose 4*c - 17 = -h, 5*c - 13 - 4 = 3*h. Let g(f) be the second derivative of -1/12*f**c + 0*f**2 + 2*f - 1/6*f**3 + 1/20*f**5 + 1/30*f**6 + 0. Factor g(l).
l*(l - 1)*(l + 1)**2
Let q = 19 + -24. Let t(s) = -2*s**2 + 11*s. Let o(l) = 2*l**2 - 12*l. Let x(a) = q*o(a) - 6*t(a). Let x(u) = 0. Calculate u.
0, 3
Let j = 1 + 3. Let -6*l**2 - 4 + 4*l**3 - l**4 + 3 - 3 + j*l + 3 = 0. Calculate l.
1
Let r = -18 + 55/3. Let v(m) be the second derivative of 1/18*m**3 + 1/12*m**4 + 0 + m - r*m**2. Solve v(c) = 0 for c.
-1, 2/3
Suppose -4 + 8 = 2*q. Suppose -2*t - 5*d = -0*d + 1, q*t = -4*d. Factor 6*o**2 - 4*o**2 + t*o**5 - 2*o**3 - o**4 - o**4.
2*o**2*(o - 1)**2*(o + 1)
Let -2/13*y**4 + 10/13*y**2 - 8/13*y**3 + 0*y + 0 = 0. What is y?
-5, 0, 1
Let t be (945/14)/9 + 3*-2. Factor 1/2*y**4 - 1/2*y + t*y**2 + 0 - 3/2*y**3.
y*(y - 1)**3/2
Suppose -85 - 15 = 4*j. Let h be (54/(-105))/(5/j). Solve 24/7*a - h*a**2 - 8/7 = 0.
2/3
Suppose 2*t + 3*i - 18 = 0, 36 = 3*t + 3*i + 3. Suppose t = 3*p + 2*w + w, -3*p + 5*w = -7. Let 0*o**2 + 0 + 0*o + 2/9*o**3 + 0*o**p - 2/9*o**5 = 0. What is o?
-1, 0, 1
Let s be 188/308 - (-8)/(-44). Determine l so that 3/7*l**2 + 0*l + s*l**4 + 6/7*l**3 + 0 = 0.
-1, 0
Let n(s) = 8*s**5 + 36*s**4 + 28*s**3 + 4*s**2 - 4. Let h(i) = -15*i**5 - 73*i**4 - 56*i**3 - 7*i**2 + 9. Let w(p) = -4*h(p) - 9*n(p). Factor w(v).
-4*v**2*(v + 1)**2*(3*v + 2)
Suppose -3*b - 3 = q, 0*b + 6 = 2*b - 2*q. Let p be (-1 - b) + (-27)/(-21). What is n in p*n - 4/7*n**3 + 0 + 0*n**2 + 0*n**4 + 2/7*n**5 = 0?
-1, 0, 1
Suppose -2*x = s - 5, 0 = -3*x + 4*x - 1. Let y(g) be the first derivative of 5/2*g**2 - 7/3*g**s - g + 3/4*g**4 - 2. Determine u, given that y(u) = 0.
1/3, 1
Determine b so that 3/2*b + 1 + 1/2*b**2 = 0.
-2, -1
Determine a so that -2/3 + 0*a + 2/3*a**2 = 0.
-1, 1
Let h(c) be the third derivative of c**6/300 - c**5/150 - c**4/12 - c**3/5 - 22*c**2. Suppose h(m) = 0. What is m?
-1, 3
Factor 2/19*c**3 + 18/19*c**2 + 40/19*c + 24/19.
2*(c + 1)*(c + 2)*(c + 6)/19
Let r(t) be the first derivative of -t**4/6 - t**3/6 + 2*t - 1. Let b(h) be the first derivative of r(h). Let b(c) = 0. Calculate c.
-1/2, 0
Let x(a) be the second derivative of a**4/42 + 12*a. Solve x(c) = 0 for c.
0
Let i(u) = 2*u**4 + 8*u**3 + 6*u**2 + 2. Let h(x) = x**3 - x + 1. Suppose w + 13 = -4*b, 3*w - 2*b = 2*b + 9. Let s(n) = w*i(n) + 2*h(n). Factor s(p).
-2*p*(p + 1)**3
Let d(i) be the second derivative of 7*i**5/20 + 5*i**4/8 - i**3 - 3*i**2/2 + 5*i. Let h(l) be the first derivative of d(l). Find t, given that h(t) = 0.
-1, 2/7
Suppose -3*a - 15*a + 72 = 0. Let q(y) be the second derivative of -1/28*y**a + 1/21*y**3 + 1/210*y**6 + 0*y**5 + 0 + 0*y**2 - y. Factor q(j).
j*(j - 1)**2*(j + 2)/7
Let l(f) be the first derivative of 2/5*f**5 - 1/2*f**2 + 0*f + 2 + 3/4*f**4 + 0*f**3. Determine r, given that l(r) = 0.
-1, 0, 1/2
Let b(q) be the first derivative of 11*q**6/24 + 3*q**5/10 - 43. Determine y so that b(y) = 0.
-6/11, 0
Let z(g) be the second derivative of -g**6/6 - g**5/4 + 5*g**4/6 - 18*g. Find f, given that z(f) = 0.
-2, 0, 1
Let n = 1/5 + 3/10. Find a such that a + 0 - n*a**2 = 0.
0, 2
Let x(a) be the second derivative of a**5/130 - a**4/39 - a**3/39 + 2*a**2/13 + 19*a. Factor x(l).
2*(l - 2)*(l - 1)*(l + 1)/13
Solve 10/19*f + 2/19*f**2 + 12/19 = 0.
-3, -2
Let z(c) be the third derivative of -c**7/420 + c**5/60 + c**3/6 - 5*c**2. Let d(h) be the first derivative of z(h). Factor d(g).
-2*g*(g - 1)*(g + 1)
Let d(q) = -2*q - 2. Let l be d(-1). Factor 8*w**3 + 2*w**2 - 11*w**3 + w**2 + l*w**2.
-3*w**2*(w - 1)
Factor 7/2*d + 1/2*d**3 - 5/2*d**2 - 3/2.
(d - 3)*(d - 1)**2/2
Factor 4*l**3 - 4*l + 4*l**2 + 0*l**3 - 4*l**4 + 5*l**3 - 5*l**3.
-4*l*(l - 1)**2*(l + 1)
Suppose -j = -1, -4*s = 7*j - 3*j - 16. Determine u, given that 0*u - u + s*u - 2*u**3 = 0.
-1, 0, 1
Suppose 3*k + 315 = 8*k. Factor 41*l**2 + k*l + 16 + 19*l**2 - 31*l + 32*l.
4*(3*l + 2)*(5*l + 2)
Let t be (3/4)/((-4)/48). Let m = 12 + t. Factor -6*a**3 + a**4 + 12*a**4 - m*a**5 - 4*a**4.
-3*a**3*(a - 2)*(a - 1)
Let m be 15/4 - 16/(-64). Let a(x) be the first derivative of -4/9*x + 1/3*x**2 + m - 2/27*x**3. Factor a(d).
-2*(d - 2)*(d - 1)/9
Let b(s) be the third derivative of -s**6/30 + 2*s**4/3 + 2*s**2 + 11. Factor b(c).
-4*c*(c - 2)*(c + 2)
Let k be ((-4)/9)/((-34)/51). Factor 1/3*y**2 + 1/3*y - k.
(y - 1)*(y + 2)/3
Solve -8*v**3 - 4*v + 10*v**4 + 11*v**3 - 10*v**3 + 14*v**2 - 11*v**3 - 2*v**5 = 0 for v.
0, 1, 2
Let o(b) be the third derivative of b**6/280 - b**5/70 - 3*b**2. Factor o(u).
3*u**2*(u - 2)/7
Let y(n) = -n**2 + n + 6. Let m be y(0). Let r be m*(4/6)/2. Factor 2*j**3 - r*j - 3*j**2 + 5 - 3 + j**2.
2*(j - 1)**2*(j + 1)
Let c(y) be the first derivative of y**3/2 + 27*y**2/8 + 27*y/4 + 29. Determine b so that c(b) = 0.
-3, -3/2
Let a(t) be the third derivative of t**7/70 - 3*t**6/40 + t**5/20 + 3*t**4/8 - t**3 - 2*t**2. Factor a(u).
3*(u - 2)*(u - 1)**2*(u + 1)
Let f(z) be the third derivative of 4/3*z**3 + z**2 - 3/10*z**5 + 0 + 1/56*z**8 + 0*z + 1/105*z**7 - 11/60*z**6 + 1/3*z**4. Factor f(q).
2*(q - 2)*(q + 1)**3*(3*q - 2)
Suppose -654 + 29 = -5*h. Let y = 627/5 - h. Factor -y*v - 2/5*v**4 - 6/5*v**3 + 0 - 6/5*v**2.
-2*v*(v + 1)**3/5
Let d(t) = 29*t**3 + 11*t**2 - 40*t. Let o(n) = -7*n**3 - 3*n**2 + 10*n. Let a(y) = -2*d(y) - 9*o(y). Let a(b) = 0. Calculate b.
-2, 0, 1
Suppose 0*o = -2*o + 8. Factor o - 2*r**2 + 0*r**2 - 2*r + 4*r.
-2*(r - 2)*(r + 1)
Let p = 53 + -53. Solve 1/3*y + 1/3*y**2 + p = 0.
-1, 0
Let o be 1/((1 + 3 + -19)*-1). Let v(r) be the second derivative of -o*r**6 + 0 - 4*r**2 + 1/2*r**4 - 4*r - 1/5*r**5 + 4/3*r**3. Factor v(m).
-2*(m - 1)**2*(m + 2)**2
Let i(t) be the first derivative of -t**7/630 + t**5/180 + t**2 - 1. Let p(v) be the second derivative of i(v). Solve p(d) = 0.
-1, 0, 1
Let c(d) be the second derivative of d**7/2520 - d**5/30 + d**4/4 + 4*d. Let b(t) be the third derivative of c(t). Suppose b(a) = 0. What is a?
-2, 2
Let r = -1319 + 1322. What is k in 1/3 + k**2 - 1/3*k**r - k = 0?
1
Let b(l) be the first derivative of -l**4/4 - 2*l**3/3 - l**2/2 + 18. Factor b(z).
-z*(z + 1)**2
Let y = -87/4 - -22. Let f(s) be the third derivative of 0 + 1/20*s**6 + 0*s + 2/3*s**3 + 2*s**2 - 1/105*s**7 - y*s**4 - 1/30*s**5. Factor f(r).
-2*(r - 2)*(r - 1)**2*(r + 1)
Let o = 369 - 4795/13. Factor 0 - o*d + 4/13*d**2 + 0*d**3 + 2/13*d**5 - 4/13*d**4.
2*d*(d - 1)**3*(d + 1)/13
Let v(a) be the second derivative of a**6/60 + a**5/60 - a**4/72 - 10*a. Factor v(c).
c**2*(c + 1)*(3*c - 1)/6
Let l(b) be the second derivative of -b**4/66 - 2*b**3/33 - 3*b. Factor l(d).
-2*d*(d + 2)/11
Suppose -10*d = -5*d - 25. Factor -18*v**3 + 3*v**2 + 11*v**3 + 9*v**3 - d*v**2.
2*v**2*(v - 1)
Let w(r) be the first derivative of -2*r**6/9 + 4*r**5/3 - r**4 - 4*r**3 - 20. Factor w(o).
-4*o**2*(o - 3)**2*(o + 1)/3
Factor 2/11*d**4 + 0 - 6/11*d**2 + 0*d**3 - 4/11*d.
2*d*(d - 2)*(d + 1)**2/11
Let z be 4 - 19/20*4. Factor 1/5*s + 0 - z*s**3 + 0*s**2.
-s*(s - 1)*(s + 1)/5
Let p(d) be the third derivative of -d**7/210 - d**6/120 - d**2. Find s such that p(s) = 0.
-1, 0
Let c be (-12)/(-9) + (-8)/(-12). Find v such that 16*v**3 + 80*v + 28*v**c - 26*v**3 + 16 - 26*v**3 = 0.
-1, -2/9, 2
Let y(s) be the first derivative of -6*s**4 - 2