h. Factor -1/3 - 5/6*l - 1/2*l**o.
-(l + 1)*(3*l + 2)/6
Determine p so that 5/3*p**2 + 0 - 20/3*p = 0.
0, 4
Let a(j) be the first derivative of -1/6*j**6 + 3 - 2/5*j**5 + 0*j**3 - 1/4*j**4 + 0*j + 0*j**2. Factor a(q).
-q**3*(q + 1)**2
Let l(s) be the second derivative of s**6/1440 - s**5/240 + s**4/96 + s**3 + 8*s. Let j(c) be the second derivative of l(c). Determine a so that j(a) = 0.
1
Let x = 96 - 96. Let y(n) be the third derivative of -n**2 + x*n + 0 + 1/12*n**3 + 1/240*n**5 + 1/32*n**4. Factor y(u).
(u + 1)*(u + 2)/4
Suppose -a = 4*a. Suppose 4 = -a*q + q. Suppose -p**3 - p + p**q + p = 0. What is p?
0, 1
Find y, given that 16/15*y - 2/15*y**4 + 2*y**2 + 4/5*y**3 + 0 = 0.
-1, 0, 8
Let i be 8*((-171)/(-42) - 4). Suppose 3*r - 5*r + 4 = 0. Factor i*v - 2/7*v**3 - 2/7*v**r + 0.
-2*v*(v - 1)*(v + 2)/7
Let y be (8/(-132))/((-4)/36). Factor 0 + y*u**2 - 4/11*u.
2*u*(3*u - 2)/11
Let y(h) = h**2 + h - 1. Let x(m) = 2*m**3 + 6*m**2 + 4*m + 6. Let q(o) = x(o) + 6*y(o). Factor q(v).
2*v*(v + 1)*(v + 5)
Factor 3 - 6 + 4 - 6*f**2 + 5 - 3*f**3 + 3*f.
-3*(f - 1)*(f + 1)*(f + 2)
Let f be 17/(-6) + 3 - 8/48. Let v(c) be the first derivative of f*c - 1/9*c**2 - 1/3*c**4 + 8/45*c**5 - 2 - 1/27*c**6 + 8/27*c**3. Solve v(q) = 0 for q.
0, 1
Factor -1/2*q + 3/2 + 1/2*q**3 - 3/2*q**2.
(q - 3)*(q - 1)*(q + 1)/2
Let w(q) be the third derivative of -1/30*q**5 + 0*q**3 + 0*q**4 + 3*q**2 + 7/120*q**6 - 1/42*q**7 + 0 + 0*q. Factor w(o).
-o**2*(o - 1)*(5*o - 2)
Suppose -3/2*v**3 - 3/4*v**2 + 0*v - 3/4*v**4 + 0 = 0. Calculate v.
-1, 0
Let r be (-2)/(-2 - (-2)/2). Let f(a) be the second derivative of 0*a**r + 0 + 5/12*a**4 - a + 1/3*a**3. Factor f(z).
z*(5*z + 2)
Factor -72*o + 30 - 15/2*o**2.
-3*(o + 10)*(5*o - 2)/2
Let b(y) = 4*y**2 - 6*y + 14. Let k(q) = -q**2 + q - 3. Let s = 6 + -9. Let g(i) = s*b(i) - 14*k(i). Factor g(f).
2*f*(f + 2)
Let k(o) be the third derivative of 0 + o**2 + 1/30*o**5 + 1/30*o**4 + 1/100*o**6 + 0*o**3 + 0*o. Solve k(z) = 0.
-1, -2/3, 0
Suppose 0 = -9*w + 4*w - 45. Let m(f) = -f - 7. Let v be m(w). Factor 3*r**2 - 3*r**2 + r**v + r**2.
2*r**2
Let s(r) be the first derivative of -1/34*r**4 + 0*r**2 - 5 + 0*r**3 + 0*r + 1/51*r**6 + 0*r**5. Find n, given that s(n) = 0.
-1, 0, 1
Solve x**3 - x**2 - 3*x**3 - x**3 - 2*x**2 = 0.
-1, 0
Let f(c) be the second derivative of -c**6/105 - c**5/35 + c**4/14 + 4*c**3/21 - 4*c**2/7 - 6*c. Let f(d) = 0. Calculate d.
-2, 1
Let q = 25 + -23. Find u such that -u + 6*u**2 + 3*u + 1 - 3*u**2 - q*u**2 = 0.
-1
Let c = -31 + 34. Let i(p) be the third derivative of -1/48*p**5 + 0*p + 0 + p**2 - 1/12*p**4 - 1/480*p**6 - 1/6*p**c. Factor i(z).
-(z + 1)*(z + 2)**2/4
Let n(m) be the third derivative of -m**6/80 - 3*m**5/40 - m**4/8 + 7*m**2. Solve n(a) = 0.
-2, -1, 0
Let l = 6 - 11. Let n(j) = j**4 - j**3 + 13*j**2 - 19*j + 2. Let m(y) = -2*y**4 + 2*y**3 - 14*y**2 + 20*y - 1. Let b(s) = l*n(s) - 4*m(s). Factor b(p).
3*(p - 1)**3*(p + 2)
Factor 15/2*f + 3/2*f**5 + 15*f**2 + 3/2 + 15/2*f**4 + 15*f**3.
3*(f + 1)**5/2
Let a(k) be the first derivative of k**6/60 - k**4/12 - 7*k**2/2 + 4. Let j(s) be the second derivative of a(s). Factor j(x).
2*x*(x - 1)*(x + 1)
Let m(u) = -u**4 - u**3 - u**2 - u - 1. Let d(s) = -3*s**5 + s**4 + 4*s**3 + 4*s**2 + 4*s + 4. Let a(g) = -d(g) - 4*m(g). Determine r, given that a(r) = 0.
-1, 0
Let y(g) = 5*g**4 - 6*g**3 + 2*g - 5. Let r(n) = 6*n**4 - 7*n**3 + 2*n - 6. Let d(m) = 4*r(m) - 5*y(m). Solve d(a) = 0 for a.
-1, 1
Let n(v) be the second derivative of v**8/672 - v**6/120 + v**4/48 + 3*v**2/2 - 4*v. Let w(g) be the first derivative of n(g). Determine r, given that w(r) = 0.
-1, 0, 1
Let i be 4/(-4) - 0/(-2). Let s be -3*(-1 + -1)/(-2). Let d(m) = -m**5 - m**4 - m**3. Let z(j) = j**4. Let y(l) = i*d(l) + s*z(l). What is r in y(r) = 0?
0, 1
Let o(c) = -c + 1. Let i be o(13). Let q = -12 - i. Find m such that 2/3*m**2 - 1/3*m**5 + 0*m**3 + 1/3*m - 2/3*m**4 + q = 0.
-1, 0, 1
Let d(p) be the second derivative of 0*p**5 + 0*p**2 + 1/2*p**3 + 6*p - 1/5*p**6 + 1/2*p**4 + 0 - 1/14*p**7. Solve d(r) = 0 for r.
-1, 0, 1
Factor 2/11*c - 8/11 + 8/11*c**2 - 2/11*c**3.
-2*(c - 4)*(c - 1)*(c + 1)/11
Factor -3*b**5 + 3*b**3 + 5*b**3 + b**3 - 6*b**2.
-3*b**2*(b - 1)**2*(b + 2)
Factor 3/5 - 3/5*c**4 - 6/5*c**3 + 6/5*c + 0*c**2.
-3*(c - 1)*(c + 1)**3/5
Factor -40/7*y + 100/7 + 4/7*y**2.
4*(y - 5)**2/7
Suppose -u = -5, -4*j - 19 = -6*u + 3*u. Let y = 3 + j. Factor -3 + 0 + 2 + h**2 + y*h - 2*h**2.
-(h - 1)**2
Let s(a) be the first derivative of 2*a**3/3 - 2*a**2 - 6*a + 2. Solve s(q) = 0 for q.
-1, 3
Let -3/2*j**3 - 3 + 21/4*j**4 + 15*j - 63/4*j**2 = 0. What is j?
-2, 2/7, 1
Let -27/7*c**3 - 15/7*c**4 - 3*c**2 - 3/7*c**5 - 6/7*c + 0 = 0. Calculate c.
-2, -1, 0
Suppose 10*q - 10 = 10. Let n(h) be the second derivative of 0*h**6 - 1/84*h**7 + 1/20*h**5 + 2*h + 0*h**q + 0 + 0*h**4 - 1/12*h**3. Solve n(u) = 0 for u.
-1, 0, 1
Let l(g) be the third derivative of g**7/2520 - g**4/8 - 3*g**2. Let j(x) be the second derivative of l(x). Let j(i) = 0. Calculate i.
0
Let d(t) be the third derivative of t**7/420 + t**6/120 - 2*t**2. Determine r so that d(r) = 0.
-2, 0
Let p(n) = 9*n**2 + 13*n + 11. Suppose -3*j + 5 = -16. Let b(v) = -5*v**2 - 7*v - 6. Let f(o) = j*b(o) + 4*p(o). Factor f(x).
(x + 1)*(x + 2)
Let a(g) be the first derivative of g**7/42 + g**6/10 + 3*g**5/20 + g**4/12 + 2*g - 3. Let v(p) be the first derivative of a(p). What is b in v(b) = 0?
-1, 0
Let v(w) = -w**3 - 10*w**2 - 11*w - 13. Let g be v(-9). Suppose 5*d = 2*i - 4, 8 = g*i - 2*d - 2. Factor -2*r**2 + 2 + 2 + r + r**i - 2.
-(r - 2)*(r + 1)
Factor 0 + 8/3*q**2 + 2*q + 2/3*q**3.
2*q*(q + 1)*(q + 3)/3
Let g(r) = r + 2. Let c be g(0). Factor -2*z + z + z - 64*z**c - 8*z - 154*z**3 - 98*z**4.
-2*z*(z + 1)*(7*z + 2)**2
Let q(u) be the third derivative of 2*u**6/15 - u**5/15 - 11*u**4/6 - 4*u**3 + 9*u**2. Factor q(h).
4*(h - 2)*(h + 1)*(4*h + 3)
Let u(r) be the first derivative of -1/4*r**4 - 1 + 1/6*r**6 + 1/5*r**5 + 0*r - 1/3*r**3 + 0*r**2. Solve u(t) = 0.
-1, 0, 1
Let m(v) = 4*v**2 - 1. Let g be m(1). Let y be 43/6 - g/(-9). Factor y*z + 6*z**2 + 3/2.
3*(z + 1)*(4*z + 1)/2
Let z(a) be the second derivative of a**8/26880 + a**7/3360 + a**6/1440 + a**4/4 + 2*a. Let p(x) be the third derivative of z(x). Factor p(l).
l*(l + 1)*(l + 2)/4
Let n(p) be the third derivative of p**5/30 - p**4/12 - p**2. Factor n(j).
2*j*(j - 1)
Determine l, given that 4/7*l**3 + 0 - 2/7*l**4 - 2/7*l**2 + 0*l = 0.
0, 1
Let m(b) = 6*b**4 - 22*b**3 - 16*b**2 + 4. Let d(g) = -7*g**4 + 23*g**3 + 15*g**2 - 3. Let h(n) = -4*d(n) - 3*m(n). Determine z, given that h(z) = 0.
-2/5, 0, 3
Let p(z) be the third derivative of -5*z**9/3024 - z**8/140 - 3*z**7/280 - z**6/180 - z**3/2 - z**2. Let b(u) be the first derivative of p(u). Factor b(i).
-i**2*(i + 1)**2*(5*i + 2)
Let j be (1/7)/(36/72). Solve -2/7 - 2/7*q**4 - 2/7*q**5 - j*q + 4/7*q**3 + 4/7*q**2 = 0.
-1, 1
Let i(m) be the third derivative of -1/8*m**4 + 4*m**2 - 1/20*m**5 + 0 + 1/40*m**6 + 1/2*m**3 + 0*m. Factor i(v).
3*(v - 1)**2*(v + 1)
Let u be ((-39)/(-52))/(10/8). Factor -3/5*d**2 + 0*d**3 + 0 + 0*d + u*d**4.
3*d**2*(d - 1)*(d + 1)/5
Factor -j - 3*j + j**2 - 2*j**3 + 8*j**2.
-j*(j - 4)*(2*j - 1)
Let v be (6/(-7))/3 - (-56)/196. Let z(r) be the third derivative of v*r - 3*r**2 + 0 - 2/3*r**3 - 1/60*r**6 + 1/12*r**4 + 1/15*r**5. Find t such that z(t) = 0.
-1, 1, 2
Find i, given that -2/3*i**3 + 0*i - 4/3*i**2 + 0 = 0.
-2, 0
Let r(b) = b**3 + 2*b**2 - 7*b - 6. Let g be r(-4). Let t = g - -18. Find d, given that d**2 - d**2 + 7*d**3 - t*d**3 - d**4 = 0.
-1, 0
Let k = 10 + -6. Suppose a**5 + 4*a**2 + 0*a**5 - a**3 - k*a**2 = 0. Calculate a.
-1, 0, 1
What is l in 0*l + 24 - 54 + 60*l**2 - 32*l**3 + 4*l**4 + 32*l - 34 = 0?
-1, 1, 4
Let y = 55 - 55. Let -4/3*i**3 + 2/9*i + 16/9*i**4 - 2/3*i**5 + 0 + y*i**2 = 0. Calculate i.
-1/3, 0, 1
Factor 0*n + 0 - 6/7*n**2 - 15/7*n**3.
-3*n**2*(5*n + 2)/7
What is k in 2*k**4 + 8*k**2 - 2*k**4 + 12*k**3 - 12*k + 2*k**4 - 4 - 6 = 0?
-5, -1, 1
Let w be (7/3)/(3/(-9)). Let h = -5 - w. Suppose 0 + 0*g - 2/3*g**4 + 0*g**3 + 2/3*g**h = 0. What is g?
-1, 0, 1
Let m(c) be the first derivative of 0*c - 1/6*c**6 + 4/5*c**5 + 0*c**2 - 5/4*c**4 - 2 + 2/3*c**3. Factor m(h).
-h**2*(h - 2)*(h - 1)**2
Factor -g - 4/3