j**5 - 2*j + 5*j**2 + j + 0*j**2 = 0.
0, 1/2, 1
Let y(m) be the first derivative of 6*m**5/65 + 5*m**4/13 + 6*m**3/13 + 2*m**2/13 - 12. Solve y(t) = 0 for t.
-2, -1, -1/3, 0
Let o(r) be the second derivative of -r**4/66 + 26*r. Factor o(f).
-2*f**2/11
Let g(n) be the first derivative of n**6/21 - 4*n**5/35 + n**4/14 - 7. Factor g(p).
2*p**3*(p - 1)**2/7
Let a = -13 + 15. Factor -3*d**4 + 4*d**3 - 2*d**a - 5*d**3 - 4*d**3.
-d**2*(d + 1)*(3*d + 2)
Let v(f) be the first derivative of f**6/420 + f**5/70 + f**4/42 - 2*f**2 + 2. Let r(c) be the second derivative of v(c). Factor r(n).
2*n*(n + 1)*(n + 2)/7
Suppose 0 = y - 4, -5*s + 5*y - 17 - 28 = 0. Let n(f) = f**3 + 5*f**2. Let k be n(s). Solve 1/5*x**4 - 1/5*x**2 + 0 + 0*x**3 + k*x = 0.
-1, 0, 1
Suppose -p = -2*y - 22, -y = 3*y - 4*p + 48. Let h(z) = -z - 10. Let n be h(y). Factor 0*s + 2*s**4 + 10/3*s**3 + n + 4/3*s**2.
2*s**2*(s + 1)*(3*s + 2)/3
Let k = 67/2422 - 2/519. Let q(m) be the second derivative of -1/7*m**2 + 2/21*m**3 + 0 + 2*m - k*m**4. Factor q(j).
-2*(j - 1)**2/7
Suppose 0 = -5*m + 2*m + 18. Suppose 12 = 10*h - m*h. Factor 0*y + 0*y**2 + 1/2*y**5 + 0*y**4 - 1/2*y**h + 0.
y**3*(y - 1)*(y + 1)/2
Let r(z) be the first derivative of 7/30*z**4 - 1 - 2/5*z**2 + 1/15*z**3 - 3/25*z**5 - z. Let y(m) be the first derivative of r(m). Solve y(g) = 0 for g.
-1/2, 2/3, 1
Let j(x) = 62*x**3 + 136*x**2 + 78*x + 20. Let w(b) = -41*b**3 - 91*b**2 - 52*b - 13. Let m(n) = 5*j(n) + 8*w(n). Suppose m(p) = 0. What is p?
-2, -1/3
Let o(a) be the second derivative of 0*a**2 + 0 + 3*a - 1/54*a**4 + 1/27*a**3. Solve o(k) = 0.
0, 1
Let t(w) = -94*w**3 - 71*w**2 - 6*w + 4. Let p(y) = -375*y**3 - 285*y**2 - 25*y + 15. Let n(h) = -4*p(h) + 15*t(h). Suppose n(f) = 0. Calculate f.
-2/3, -1/6, 0
Let j(f) be the third derivative of -1/105*f**7 + 3*f**2 + 1/60*f**6 - 1/90*f**5 + 0*f**3 + 0*f + 0 + 0*f**4 + 1/504*f**8. Suppose j(t) = 0. What is t?
0, 1
Let y(q) be the second derivative of -1/105*q**7 + 0*q**3 + 1/25*q**6 + 0 + 1/30*q**4 - q - 3/50*q**5 + 0*q**2. Factor y(d).
-2*d**2*(d - 1)**3/5
Let s(x) = -x**2 + 5*x - 3. Let a be s(3). Suppose -4*l**4 + a*l**2 + 5*l**4 - 5*l**2 + 35 - 34 = 0. Calculate l.
-1, 1
Let f(w) be the second derivative of 0*w**2 - w + 1/30*w**6 + 0*w**4 - 1/20*w**5 + 0 + 0*w**3. Let f(r) = 0. What is r?
0, 1
Determine k so that 16*k**2 + 16/3*k**3 + 2/3*k**4 + 32/3 + 64/3*k = 0.
-2
Suppose t + 423 = -3*z, 2*z - 1030 - 732 = 4*t. Let v = t + 5698/13. Let -2/13*b**3 + 0 - 2/13*b - v*b**2 = 0. Calculate b.
-1, 0
Solve -2/7*c - 4/7*c**2 - 2/7*c**3 + 0 = 0.
-1, 0
Let f = 1061 - 3181/3. Suppose -4/3*n + 2/3 + f*n**2 = 0. Calculate n.
1
Let t(c) be the first derivative of c**6/21 - 8*c**5/35 + 3*c**4/7 - 8*c**3/21 + c**2/7 + 7. Solve t(o) = 0 for o.
0, 1
Let p(z) be the first derivative of -5*z**3/3 - 13. Factor p(a).
-5*a**2
Suppose 0 = -k - 2*o + 10, -7 = -4*k + 3*o - 0. Let y be (24/60)/(16/10). Suppose 0*s**3 - 1/2*s**k + y*s**5 - 1/4*s + 1/2*s**2 + 0 = 0. What is s?
-1, 0, 1
Factor 1/2*t**5 - t**3 - 1/2 - 1/2*t**4 + 1/2*t + t**2.
(t - 1)**3*(t + 1)**2/2
Let c(q) be the second derivative of q**4/12 - 2*q**3 - 11*q. Find p, given that c(p) = 0.
0, 12
Let c = 22 + -18. Find z such that 3*z**2 + 4*z - c*z**3 + 28*z**4 + z**2 - 32*z**4 = 0.
-1, 0, 1
Let x(n) = 7*n**2 + 7*n + 11. Let u(c) = -4*c**2 - 4*c - 6. Let y(o) = -11*u(o) - 6*x(o). Suppose y(i) = 0. Calculate i.
-1, 0
Let a be (-2)/5*225/(-120). Factor a + 3/4*f**4 - 3/4*f**5 + 3/2*f**3 - 3/2*f**2 - 3/4*f.
-3*(f - 1)**3*(f + 1)**2/4
Find p, given that -4/3 - 4*p**3 - 20/3*p - 28/3*p**2 = 0.
-1, -1/3
Let p(x) be the second derivative of x**4/28 - 4*x**3/7 + 3*x**2/2 + 22*x. Let p(l) = 0. Calculate l.
1, 7
Let g(x) be the third derivative of -x**6/210 + 2*x**5/105 + 4*x**4/21 + 55*x**2. Factor g(k).
-4*k*(k - 4)*(k + 2)/7
Factor 4*o**2 - o**2 + 9*o**3 - 29*o**3 + 15*o + 2*o**2.
-5*o*(o - 1)*(4*o + 3)
Let k = 1 - -24. Suppose b + k = 4*w + w, 2*w = -2*b + 10. Suppose -p**2 - p + p**3 + w*p - 5*p + 1 = 0. What is p?
-1, 1
Let r(g) = -g**3 - 2*g**2 + 4*g + 4. Let p be r(-3). Let m be (-4)/((-4)/(1 + p)). Let -c**2 + 3*c**m - 2*c + 4*c + 0*c = 0. What is c?
-1, 0
Find d, given that -3*d**2 - 4*d**4 + 3 - 8 + 13 - d**2 - 12*d**3 + 12*d = 0.
-2, -1, 1
Suppose 0 = 5*c - 1 + 26. Let l be (-8 - c)*2/(-24). Factor -1/2*b + l + 1/4*b**2.
(b - 1)**2/4
Let d(g) be the third derivative of g**7/2100 - g**6/450 + g**5/300 - g**3/3 - 2*g**2. Let o(n) be the first derivative of d(n). Factor o(t).
2*t*(t - 1)**2/5
Suppose 21*l - 6*l = 0. Let -13/2*k**2 + l + 21/2*k**3 + k = 0. What is k?
0, 2/7, 1/3
Let u(v) be the third derivative of v**6/40 - v**4/2 + 19*v**2. Determine k, given that u(k) = 0.
-2, 0, 2
Let r(k) = 2*k. Let u be r(2). What is z in 3*z - 3*z**5 + 0*z + 6*z**u - 6*z**2 + 0*z**5 + 0*z**5 = 0?
-1, 0, 1
Determine k so that -2/3*k**2 + 1/6*k**4 - 1/3*k**3 + 1/3*k + 1/2 = 0.
-1, 1, 3
Let s(a) be the first derivative of -a**6/1980 - a**5/330 - a**4/132 + a**3 - 6. Let j(g) be the third derivative of s(g). Find b, given that j(b) = 0.
-1
Let v(a) be the third derivative of -7*a**6/160 + 9*a**5/80 + 3*a**4/8 - a**3/2 + 4*a**2. Factor v(g).
-3*(g - 2)*(g + 1)*(7*g - 2)/4
Let a(c) = c**3 + 4*c**2 - c. Let k be a(-4). Let v = -5/2 - -17/6. Solve 2/3*z**k + 1/3*z - z**2 + v - 1/3*z**3 = 0 for z.
-1, -1/2, 1
Find d such that 25*d**2 - 2*d + 5*d + 3*d - 28*d**2 = 0.
0, 2
Let v(r) = -r**3 - 2*r**2 - 10*r - 18. Let y be v(-2). Let g(o) be the second derivative of 1/6*o**2 + 0 + 1/36*o**4 - 1/9*o**3 - y*o. Factor g(l).
(l - 1)**2/3
Let a(v) be the first derivative of 5*v**3/2 + 21*v**2/4 + 3*v - 4. Determine x so that a(x) = 0.
-1, -2/5
Let a(r) = 6*r + 4. Let c(d) = -5*d - 3. Let v(q) = 4*a(q) + 5*c(q). Let o(y) = y**2 - 5*y + 5. Let p(z) = -2*o(z) + 10*v(z). Find g such that p(g) = 0.
0
Let w(f) be the third derivative of -f**5/360 + f**4/144 + f**3/18 - 6*f**2. Factor w(c).
-(c - 2)*(c + 1)/6
Let m(x) be the third derivative of -x**6/2160 + x**5/360 - x**4/144 - 5*x**3/6 - 4*x**2. Let w(o) be the first derivative of m(o). Factor w(c).
-(c - 1)**2/6
Let x(k) be the second derivative of -k**8/3360 + k**7/840 + 2*k**3/3 - 5*k. Let a(j) be the second derivative of x(j). Factor a(l).
-l**3*(l - 2)/2
Factor 45*p**2 + 25*p**3 + 10 + 98*p + 0 + 5*p**4 - 63*p.
5*(p + 1)**3*(p + 2)
Factor 0 - 12/5*d - 2/5*d**2.
-2*d*(d + 6)/5
Let d(k) be the first derivative of -k - 1/90*k**6 + 0*k**3 + 0*k**5 - 3 + 1/18*k**4 - 1/6*k**2. Let z(t) be the first derivative of d(t). Factor z(u).
-(u - 1)**2*(u + 1)**2/3
Suppose 4*r - w + 2*w = 44, 3*r - 48 = 3*w. Suppose 5*t - 20 = -3*o, o + 3*t = -2*o + r. Factor 0*c + o - 2/5*c**3 + 2/5*c**2.
-2*c**2*(c - 1)/5
Let f(l) be the first derivative of -4*l**3/15 + 4*l**2/5 + 12*l/5 - 9. Factor f(p).
-4*(p - 3)*(p + 1)/5
Let j(i) be the third derivative of i**6/60 + i**5/15 + i**4/12 + 2*i**2. Suppose j(t) = 0. Calculate t.
-1, 0
Factor -9826/13 + 2/13*m**3 + 1734/13*m - 102/13*m**2.
2*(m - 17)**3/13
Let q = -117 + 120. Determine a, given that 4*a**4 - 2*a + 0 - 5/2*a**5 + 9/2*a**q - 4*a**2 = 0.
-1, -2/5, 0, 1, 2
Let p = 7 - 16. Let d be 1 + 24/p + 2. Factor d*n**2 - 2/3*n + 1/3.
(n - 1)**2/3
Let w(t) = -t**2 + t - 2. Let m(i) = -5 + 2*i - 3*i + 2. Let u be m(-7). Let v(f) = 2*f**2 - 2*f + 3. Let x(p) = u*v(p) + 7*w(p). What is l in x(l) = 0?
-1, 2
Let c be ((-1 - -8) + -7)/(-2). Solve 0*p**3 + 0 + c*p**2 + 0*p + 1/4*p**4 = 0 for p.
0
Let x(t) = t**5 - t. Let s(r) = 5*r**4 - 5*r**3 - 5*r**2 + 5*r. Let j(p) = -s(p) - 5*x(p). Find o, given that j(o) = 0.
-1, 0, 1
Let k(h) be the third derivative of h**5/270 - h**4/27 + 4*h**3/27 - h**2 + 3*h. Factor k(w).
2*(w - 2)**2/9
Suppose 0 = -3*w + 9 - 3. Let h(k) = k**3 - k - 1. Let j(d) = -3*d**3 + 3*d + 2. Let c(p) = w*j(p) + 4*h(p). Factor c(i).
-2*i*(i - 1)*(i + 1)
Let r(o) be the third derivative of -o**8/360 + 23*o**7/1575 - 3*o**6/100 + 13*o**5/450 - o**4/90 - 2*o**2 - 10*o. What is c in r(c) = 0?
0, 2/7, 1
Let g(y) be the third derivative of -y**7/525 + y**6/150 - y**4/30 + y**3/15 + 4*y**2 + 8*y. Find v such that g(v) = 0.
-1, 1
Let g(y) be the second derivative of -2*y**7/21 - 4*y**6/15 + y**5/5 + 2*y**4/3 - 19*y. Find a such that g(a) = 0.
-2, -1, 0, 1
Let i be (-2 - -2)*12/24. Let j(u) be th