 be the first derivative of 0*m + 1/2*m**2 + 1/3*m**3 - g. Factor d(l).
l*(l + 1)
Let p = 209/60 + -17/5. Let g(k) be the first derivative of -2 + 1/3*k - p*k**2 - 1/18*k**3. Factor g(l).
-(l - 1)*(l + 2)/6
Let r = -7 + 21. Let q = -8 + r. Solve 2*h**2 + 0*h**2 - q*h**4 + 4*h**4 + 2*h**3 - 2*h**5 = 0 for h.
-1, 0, 1
Let j = 17 - 83/5. Factor -1/5*p**2 - 1/5*p + j.
-(p - 1)*(p + 2)/5
Let q(u) = 49*u**2 - 2*u**3 - 50*u**2 - 2*u + 2*u + 1. Let n be q(-1). Suppose 1/4*b**n + 0*b - 1/4 = 0. What is b?
-1, 1
Let g be (16/(-20))/((-6)/15). Let y(r) be the third derivative of 0*r**7 - 1/30*r**6 + 1/12*r**4 - r**g + 0*r**3 + 1/168*r**8 + 0*r**5 + 0*r + 0. Factor y(a).
2*a*(a - 1)**2*(a + 1)**2
Let b(k) = k - 9. Let w = -2 - -13. Let f be b(w). Factor 1/5*g**f + 0 + 2/5*g.
g*(g + 2)/5
Factor -10/9*d**4 + 0 + 0*d - 2/9*d**2 - 4/3*d**3.
-2*d**2*(d + 1)*(5*d + 1)/9
Suppose 0 = 5*t - 0 - 10. Find x such that 3*x**t - 3*x**2 + 4*x**2 = 0.
0
Let u(x) be the third derivative of x**9/362880 + x**8/60480 + x**7/30240 - 2*x**5/15 + x**2. Let g(f) be the third derivative of u(f). Factor g(n).
n*(n + 1)**2/6
Suppose -22 = -5*o + 38. Let f = 13 - o. Factor -f + n - 1/4*n**2.
-(n - 2)**2/4
Let p(s) be the first derivative of s**4/8 - s**3/2 + 3*s**2/4 - s/2 - 2. Factor p(z).
(z - 1)**3/2
Let a(d) be the first derivative of -d**6/24 - d**5/20 + d**4/8 + d**3/6 - d**2/8 - d/4 + 18. Factor a(m).
-(m - 1)**2*(m + 1)**3/4
Let h(c) be the second derivative of c**7/1260 - c**6/180 + c**5/60 - c**4/36 + c**3/6 - c. Let r(i) be the second derivative of h(i). Solve r(g) = 0 for g.
1
Let v(z) = z**3 - z**2 - z - 1. Let y(p) = -3*p**3 + 2*p**2 + 2*p + 2. Let h be 6/(-8)*(-8)/3. Let l(q) = h*v(q) + y(q). Factor l(d).
-d**3
Let u(r) be the third derivative of 0*r**3 + 0*r**4 - 6*r**2 + 0 + 1/150*r**5 + 0*r. What is b in u(b) = 0?
0
Let g(q) be the first derivative of -4*q**5/35 + 4*q**4/7 - 16*q**3/21 + 9. Let g(v) = 0. What is v?
0, 2
Let j(h) be the first derivative of -2*h**3/9 - 4*h**2/3 - 8*h/3 + 6. Factor j(n).
-2*(n + 2)**2/3
Let w be 5 - (39/(-6) - -10). Factor -1/2*x**2 + x + w.
-(x - 3)*(x + 1)/2
Suppose 0 = 2*r, 38 = -2*v + r - 6*r. Let c = -16 - v. Let -2/5*d**4 - 2/5*d**5 + 2/5*d**2 + 0*d + 2/5*d**c + 0 = 0. What is d?
-1, 0, 1
Let j = -7/90 - -419/180. Find g, given that 0 - j*g + 3/4*g**2 = 0.
0, 3
Factor 0 - 1/10*y**5 + 1/5*y**2 + 1/10*y - 1/5*y**4 + 0*y**3.
-y*(y - 1)*(y + 1)**3/10
Let s(p) = 10*p**2 + 12*p - 22. Let r(u) = u**2 - 1. Let b(w) = 6*r(w) - s(w). Solve b(z) = 0.
-4, 1
Let g be -3 + (-1)/(-2)*14. What is r in g*r**3 - 2*r - 2*r**3 + 5*r - 5*r**3 = 0?
-1, 0, 1
Let a = -10 - -15. Let c(o) = 2*o + 1. Let s be c(1). Determine g so that -50/11*g**a + 2/11*g**s - 8/11 + 90/11*g**4 - 82/11*g**2 + 48/11*g = 0.
-1, 2/5, 1
Let l be (-7)/(-3)*(-4)/(-12). Let r = -26/45 + l. Let 0*z**2 - r*z**3 + 1/5*z + 0 = 0. Calculate z.
-1, 0, 1
Suppose -2/7 + 0*o**3 + 0*o - 2/7*o**4 + 4/7*o**2 = 0. Calculate o.
-1, 1
Let c be (3 - 1)*(2 - 45/24). Determine f, given that 0*f + 1/2*f**2 + 0 - c*f**4 - 1/4*f**3 = 0.
-2, 0, 1
Let r be (-2)/8 - ((-6)/3)/8. Let r*b + 0*b**3 - 3/2*b**4 + 3/2*b**2 + 0 = 0. Calculate b.
-1, 0, 1
Suppose -k = -2*k. Let q(o) = 9*o - o**2 + k - 6*o + 3 - 2*o**3. Let z(r) = r**3 + r**2 - 1. Let s(v) = q(v) + z(v). Determine d so that s(d) = 0.
-1, 2
Let j be (-1)/((-2)/(-10)) + 8. Let v(o) be the second derivative of -27/10*o**2 + 0 - o - 1/20*o**4 - 3/5*o**j. Suppose v(i) = 0. Calculate i.
-3
Let n = 146 - 1605/11. Let y(j) be the second derivative of 0 + j + n*j**3 + 2/11*j**2 + 1/66*j**4. Factor y(o).
2*(o + 1)*(o + 2)/11
Factor 0 + y - 1/2*y**2.
-y*(y - 2)/2
Let z(a) be the first derivative of -a**6/420 + a**5/105 - 3*a**2/2 - 3. Let i(y) be the second derivative of z(y). Determine q so that i(q) = 0.
0, 2
Determine q, given that -3*q + 23*q - 6 - 10 - 4*q**2 = 0.
1, 4
Let g(a) be the second derivative of 0 + 0*a**2 + a + 0*a**4 + 1/540*a**5 - 1/2*a**3 + 1/1620*a**6. Let m(q) be the second derivative of g(q). Factor m(o).
2*o*(o + 1)/9
Let a be (-7)/(-3) - 1/3. Suppose -3*w - 6 = -5*l + 19, -2*l = -2*w - 14. Find p, given that 5*p - 3*p + 2*p**4 + 0*p**l - 2*p**2 - a*p**3 = 0.
-1, 0, 1
Factor -1/7*g**2 + 2/7 - 1/7*g.
-(g - 1)*(g + 2)/7
Let i(q) be the second derivative of -q**6/45 - q**5/15 - q**4/18 - 47*q. What is z in i(z) = 0?
-1, 0
Factor 1/7*k - 2/7 + 1/7*k**2.
(k - 1)*(k + 2)/7
Let i(q) be the third derivative of -q**7/5880 - q**6/2520 + q**5/840 + q**4/168 - 4*q**3/3 + 3*q**2. Let c(p) be the first derivative of i(p). Factor c(s).
-(s - 1)*(s + 1)**2/7
Determine f so that 1/4 + 0*f**2 + 1/8*f**3 - 3/8*f = 0.
-2, 1
Suppose -3*h + 4*z = -26, 3*z - 15 = -4*h + 3. Factor 6*f**3 - 4 + 0*f**2 + 2*f**4 + h*f**2 - 4*f**2 - 6*f + 0*f**4.
2*(f - 1)*(f + 1)**2*(f + 2)
Let h = -122 + 204. Let 26*d + 16*d**2 + 2*d + h - 90 = 0. What is d?
-2, 1/4
Let f be (-10)/25 + (-12)/(-5). Factor 0 + 0 - 3*i**3 + 4*i**2 - 7*i**f.
-3*i**2*(i + 1)
Let s(a) be the third derivative of -1/6*a**3 + 1/60*a**5 + 0*a + a**2 + 0 + 0*a**4. Factor s(y).
(y - 1)*(y + 1)
Let i(f) = -f**3 + 8*f**2 - 6*f - 5. Let u be i(7). Suppose 9*h**u + 36*h + 5 + 8*h**3 + 7 - 23*h**3 = 0. Calculate h.
-1, -2/5, 2
Let p(l) be the third derivative of 0*l + 0*l**4 - 1/15*l**5 + 0 + 1/60*l**6 + 0*l**3 - 2*l**2. Factor p(k).
2*k**2*(k - 2)
Let m = -10 - -13. Solve b**5 - 2*b + 1 + 2*b**2 - 3*b**4 + 5 - 5 + 2*b**m - b = 0 for b.
-1, 1
Let u(z) be the second derivative of -z**4/4 + z**3 - 3*z**2/2 + 2*z - 44. Factor u(d).
-3*(d - 1)**2
Suppose 0 = -3*k - n + 10, -4*k = k + 4*n - 26. Suppose -2*d + d**4 - d**5 - 9*d**2 + 3*d**3 + 0*d**3 + 8*d**k = 0. What is d?
-1, 0, 1, 2
Let w(h) be the second derivative of -h**5/60 + h**4/24 + h**3/3 - h**2/2 - h. Let q(l) be the first derivative of w(l). What is c in q(c) = 0?
-1, 2
Let s(u) be the first derivative of -3/4*u**4 - 10 - 3*u**2 + 0*u - 3*u**3. Factor s(p).
-3*p*(p + 1)*(p + 2)
Solve -12/5 + 12/5*s + 9/5*s**2 = 0.
-2, 2/3
Let w(q) be the third derivative of q**6/60 + q**5/30 - 2*q**4/3 - 4*q**3 + 70*q**2. Solve w(n) = 0.
-2, 3
Let w(n) be the third derivative of -1/60*n**5 + 0*n + 0 - 1/3*n**3 - n**2 + 1/8*n**4. Factor w(i).
-(i - 2)*(i - 1)
Let m(j) be the first derivative of j**3/7 - 3*j**2/7 + 3*j/7 - 5. Factor m(k).
3*(k - 1)**2/7
Let b be (-1151)/(-140) - 9/(-12). Let q = -60/7 + b. Factor 4/5*s + q*s**2 + 0.
2*s*(s + 2)/5
Suppose 0 = -2*k + 7*k - 160. Suppose 2*i - 6*i = -k. Determine c, given that 2 - i*c**3 + 4*c - 2*c - 6*c**4 + 4*c**2 - 2*c + 8*c = 0.
-1, -1/3, 1
Factor 8/5*x + 0 - 4/5*x**2.
-4*x*(x - 2)/5
Let d(w) be the third derivative of 1/300*w**5 + 0 + 1/40*w**4 + 1/15*w**3 + 0*w - 4*w**2. Factor d(c).
(c + 1)*(c + 2)/5
Let t(r) = r**3 - 9*r**2 + 8*r. Let y be t(8). Let a(q) = -2*q + 18. Let u be a(8). Find v such that -1/3 + 1/3*v**u + y*v = 0.
-1, 1
Factor -q + 1/2*q**2 + 1/2.
(q - 1)**2/2
Let r(a) be the second derivative of -a**4/60 + a**3/10 + 2*a**2/5 - 12*a. Factor r(i).
-(i - 4)*(i + 1)/5
Suppose 2/5*m**2 + 0*m**3 + 0*m - 1/5*m**4 - 1/5 = 0. What is m?
-1, 1
Let v(y) be the second derivative of y**6/180 - 7*y**5/120 + y**4/9 + 4*y**3/9 + y. Let v(f) = 0. Calculate f.
-1, 0, 4
Let l(h) be the second derivative of 0*h**4 - 1/10*h**5 + 0*h**2 - 2*h + 0*h**3 + 0. Determine b so that l(b) = 0.
0
Suppose 7 = -3*b + 22. Let h(x) be the first derivative of 0*x**3 - 2 + 1/20*x**b + 0*x**2 + 0*x + 1/16*x**4. Let h(z) = 0. What is z?
-1, 0
Let f(k) be the second derivative of 2*k**6/75 + 2*k**5/25 - 11*k. Determine n so that f(n) = 0.
-2, 0
Solve 3/5*a + 2/5 + 1/5*a**2 = 0 for a.
-2, -1
Let o(h) be the first derivative of h**3/6 - h**2/4 - 22. Determine x, given that o(x) = 0.
0, 1
Let b(p) be the third derivative of p**6/24 - p**5 + 35*p**4/8 + 245*p**3/3 + p**2 - 31*p. Determine m so that b(m) = 0.
-2, 7
Let f = -7214/319 + 248/11. Let m = f + 33/58. Find d such that -m*d**2 - d + 0 = 0.
-2, 0
Let o(x) be the first derivative of 0*x**2 + 1/6*x**3 - 1/16*x**4 + 0*x - 2. Suppose o(u) = 0. What is u?
0, 2
Solve 4/7*p + 4/7 + 1/7*p**2 = 0 for p.
-2
Let u(a) = -a**2 - 11*a - 5. Let d be -1*(1 - 31)/(-3). Let q be u(d). Suppose 4/9*y**4 - 4/9*y**2 - 10/9*y**q + 0 + 10/9*y**3 + 0*y = 0. What is y?
-1, 0, 2/5, 1
Let i(m) = -7*m**2 + 8*m + 9.