d derivative of 1/21*x**4 + 0 + 3*x + 5/21*x**3 + 2/7*x**2. Determine k, given that j(k) = 0.
-2, -1/2
Let r = 8 - 5. Suppose -2*g = -5 - 3. Determine y so that -g*y**2 + y**2 - 2*y + y**2 + 4*y - 4*y**r = 0.
-1, 0, 1/2
Let g(o) be the first derivative of 7*o**7/15 - 7*o**6/20 - 4*o**5/5 - o**4/3 - o**2/2 - 2. Let k(m) be the second derivative of g(m). Factor k(t).
2*t*(t - 1)*(7*t + 2)**2
Let z(i) be the first derivative of -10*i**3/3 - 7*i**2 + 12*i - 2. Let f(c) = -c**2 - c + 1. Let p(q) = 12*f(q) - z(q). What is l in p(l) = 0?
0, 1
Let k(x) = -5*x**2 + 4*x - 3. Let n(s) = 9*s**2 - 7*s + 5. Let j(r) = -7*k(r) - 4*n(r). Factor j(y).
-(y - 1)*(y + 1)
Let g(x) be the second derivative of x**4/18 + 2*x**3/9 + x**2/3 + 2*x. Determine k so that g(k) = 0.
-1
Let p(v) be the third derivative of v**8/336 + v**7/210 - v**6/60 - v**5/30 + v**4/24 + v**3/6 - 9*v**2. Factor p(d).
(d - 1)**2*(d + 1)**3
Let w(y) = -y**4 + 7*y**3 + 2*y**2 + 3. Let b(t) = -5*t**4 + 29*t**3 + 8*t**2 + 13. Let n(g) = -6*b(g) + 26*w(g). Factor n(f).
4*f**2*(f + 1)**2
Suppose -u = g + 2*u - 21, -g - u + 11 = 0. Suppose 3*a + a = 8, -2*a + 16 = 3*h. Suppose g*x**3 + x**4 + 2*x**2 - 3*x**3 - 6*x**h = 0. What is x?
-2/5, 0, 1
Let l(b) be the second derivative of -3*b**5/35 + 11*b**4/28 + 3*b**3/14 + 10*b. Determine a, given that l(a) = 0.
-1/4, 0, 3
Let u(d) = 3*d**3 - 9*d**2 - 12*d - 6. Let i(s) = 3*s**3 - 8*s**2 - 11*s - 5. Let q(j) = -6*i(j) + 5*u(j). Solve q(a) = 0.
-1, 0, 2
Let g(s) be the first derivative of 2*s**5/5 - s**4 + 2*s**3/3 + 3. Factor g(x).
2*x**2*(x - 1)**2
Let z(y) be the third derivative of 1/900*y**6 - y**2 - 1/300*y**5 + 0 + 0*y**4 + 1/6*y**3 + 0*y. Let u(r) be the first derivative of z(r). Factor u(l).
2*l*(l - 1)/5
Let b(p) = p**3 - 5*p**2 + 4*p + 4. Let r be b(4). Let y(t) = -t + 10. Let u be y(5). Solve 4*z**3 + 4*z**5 + 0*z - 2*z - 2*z**5 - r*z**u = 0.
-1, 0, 1
Let i(a) = -12*a**3 - 23*a**2 + 11*a. Let q(d) = 12*d**3 + 24*d**2 - 12*d. Let h(u) = 4*i(u) + 3*q(u). Determine p so that h(p) = 0.
-2, 0, 1/3
Let a = 443/339 - -3/113. Let 8/3 + 4*b + a*b**2 = 0. What is b?
-2, -1
Let d(v) = 2*v**3 + 4*v**2 + v - 1. Let i(y) = -1 + 2 - 3*y**3 - y**2 - y - 4*y**2 + 0. Let a(u) = -4*d(u) - 3*i(u). What is w in a(w) = 0?
-1, 1
Determine v, given that -3/2*v + 9 - 3/2*v**3 - 6*v**2 = 0.
-3, -2, 1
Let h(i) be the first derivative of 5*i**4/2 + 16*i**3/3 + i**2 - 4*i - 2. Solve h(k) = 0.
-1, 2/5
Suppose 3*z = w + 12, -3 - 21 = -3*w - 3*z. Find y, given that -1/3*y**w + 0*y + 0 - 2/3*y**4 + 1/3*y**5 + 2/3*y**2 = 0.
-1, 0, 1, 2
Let t(f) be the second derivative of f**8/4480 - f**7/336 + f**6/60 - f**5/20 - f**4/6 + 9*f. Let b(s) be the third derivative of t(s). Let b(m) = 0. What is m?
1, 2
Suppose 8 + 12 = 5*k. Suppose 8 - 30 = -5*t - k*x, 3*t = -3*x + 15. Factor 1/5*f**5 - 2/5*f**4 + 0*f + 1/5*f**3 + 0*f**t + 0.
f**3*(f - 1)**2/5
Let n = -104/9 + 253/18. Factor n*r + 13/4*r**2 - 1 + 7/8*r**3.
(r + 2)**2*(7*r - 2)/8
Let d = 5 - 2. Solve w**2 - 2*w**4 - 2*w + 2*w**d + 0*w**2 + w**4 + 0*w**3 = 0.
-1, 0, 1, 2
Find p, given that -2*p**4 - p + p**2 + 2*p + 3*p**4 + 2*p**2 + 3*p**3 = 0.
-1, 0
Let l(w) = 6*w**3 + 5*w**2 - 5*w + 5. Let k(p) = p**3 + p**2. Let n(h) = -5*k(h) + l(h). Let u(d) = d**3 - 3*d + 3. Let t(r) = 3*n(r) - 5*u(r). Factor t(o).
-2*o**3
Solve 1/3*w**2 + 64/3 - 16/3*w = 0 for w.
8
Let z(r) be the first derivative of 1/6*r**2 + 1/9*r**3 - 1/12*r**4 - 1 + 0*r - 1/15*r**5. Solve z(p) = 0 for p.
-1, 0, 1
Let s be 5 + -2 - (1 - 1). Factor 14*y - 36*y**2 - 24*y**3 + 3*y**5 - 26*y**4 + 4*y**5 - 2 - y**5 + 68*y**s.
2*(y - 1)**4*(3*y - 1)
Let j(p) be the second derivative of 9*p**5/40 - p**4/4 - p**3/4 + p - 15. Factor j(a).
3*a*(a - 1)*(3*a + 1)/2
Let s(x) be the first derivative of -x**5/25 + x**4/20 + x**3/15 - x**2/10 - 5. Factor s(c).
-c*(c - 1)**2*(c + 1)/5
Let j(u) be the second derivative of -3*u**5/20 - u**4/2 - u**3/2 - 11*u. Factor j(n).
-3*n*(n + 1)**2
Let g(t) be the first derivative of 12*t**5/35 + 4*t**4/7 + 4*t**3/21 - 10. Solve g(u) = 0 for u.
-1, -1/3, 0
Let k(m) be the second derivative of -m + 1/4*m**5 + 2/3*m**4 + 0 + 1/6*m**3 - m**2. Determine j, given that k(j) = 0.
-1, 2/5
Let p(t) = 2*t**2 + 2*t - 10. Let w(y) = -3*y**2 - 2*y + 9. Let r(x) = 2*p(x) + 3*w(x). Let k(i) = i**2 - 1. Let o(g) = -6*k(g) - r(g). Factor o(d).
-(d - 1)**2
Let u be -1 - (1 + -6 + 2). Determine m, given that -3*m**4 - m - 3*m**3 - 3*m**2 - 3 + u*m**4 + 3 = 0.
-1, 0
Let b(g) be the third derivative of g**10/529200 + g**9/70560 + g**8/23520 + g**7/17640 + g**5/20 + g**2. Let r(u) be the third derivative of b(u). Factor r(q).
2*q*(q + 1)**3/7
Let z(d) be the second derivative of -36*d**5/25 - 26*d**4/15 - 5*d**3/6 - d**2/5 - 28*d. Suppose z(l) = 0. Calculate l.
-1/4, -2/9
Factor 1/8*s**2 - 1/2*s - 5/8.
(s - 5)*(s + 1)/8
Suppose -2 - 8 = -5*u. Solve 33/5*r - 6/5 - 12/5*r**3 + 48/5*r**4 - 42/5*r**u - 21/5*r**5 = 0 for r.
-1, 2/7, 1
Let v(c) = 16*c**2 - 20*c + 2. Let d(m) = -2*m**2 - m - 1. Let w(j) = -3*j**2 - 2*j - 2. Let o(u) = 5*d(u) - 3*w(u). Let f(z) = -2*o(z) - v(z). Factor f(h).
-2*(h - 1)*(7*h - 2)
Let b(j) be the third derivative of j**6/60 + j**5/15 - j**4/3 - 8*j**3/3 - 20*j**2. Factor b(g).
2*(g - 2)*(g + 2)**2
Suppose -4*v = f - 3*f - 16, -f = 0. Suppose -v*g + 6 = -10. Suppose -1/4*b**2 + 7/4*b**3 + 0*b + 0 - 2*b**4 - g*b**5 = 0. Calculate b.
-1, 0, 1/4
Let a(o) = -o**2 - 6*o - 2. Let t be a(-5). Let w be 0 + 1*t/12. Factor w + 9/4*l + 4*l**3 + 6*l**2.
(l + 1)*(4*l + 1)**2/4
Let d(a) be the third derivative of 1/60*a**5 + 4*a**2 + 0*a + 0*a**3 + 0 + 0*a**4. Factor d(v).
v**2
Let x(w) = -w**4 - 4*w**3 - 2*w**2 - 2*w + 3. Let v = -7 + 10. Let i(l) = 3*l**4 + 11*l**3 + 5*l**2 + 5*l - 8. Let m(t) = v*i(t) + 8*x(t). Factor m(n).
n*(n - 1)*(n + 1)**2
Let q(h) be the first derivative of 2*h**3/27 - 2*h**2/3 + 2*h + 23. Find x, given that q(x) = 0.
3
Let s(u) = u**3 - 13*u**2 + 12*u + 4. Let d be s(12). Let p(z) be the third derivative of 0*z + 1/24*z**5 + 1/24*z**d + 2*z**2 + 0 + 0*z**3. Factor p(c).
c*(5*c + 2)/2
Factor 1/3*f**2 + 2/3*f + 1/3.
(f + 1)**2/3
Let p(b) be the third derivative of -b**5/420 + b**4/168 + 2*b**2. Suppose p(i) = 0. Calculate i.
0, 1
Let d = 697 - 695. Factor -8/5*m**3 + 0*m**d + 4/5*m**4 + 8/5*m - 4/5.
4*(m - 1)**3*(m + 1)/5
Let f(q) be the first derivative of 8/15*q**5 + 1/3*q**2 - 1 + 8/9*q**3 + 0*q + q**4 + 1/9*q**6. Determine u, given that f(u) = 0.
-1, 0
Let w = -1 + 2. Suppose 3*b - 14 = 1. Let t(r) = 6*r**5 + 3*r**3 - 5*r**2 - 4*r. Let n(j) = -j**5 - j**3 + j**2 + j. Let f(k) = b*n(k) + w*t(k). Factor f(l).
l*(l - 1)**2*(l + 1)**2
Let 2/11*b**3 + 8/11 + 0*b - 14/11*b**2 - 2/11*b**5 + 6/11*b**4 = 0. Calculate b.
-1, 1, 2
Let x be (-1 - -2) + (-8)/24. Let q(f) = 2*f**2 - f - 1. Let l be q(-1). Suppose x*w**3 + l*w**2 + 0*w - 8/3 = 0. What is w?
-2, 1
Let c(t) be the first derivative of 4*t**5/25 - 4*t**4/5 + 8*t**3/15 + 8*t**2/5 - 12*t/5 + 12. Determine g so that c(g) = 0.
-1, 1, 3
Determine a, given that 2/5*a - 4/5*a**2 - 2/5*a**3 + 4/5 = 0.
-2, -1, 1
Let q(m) be the second derivative of m**7/525 + 17*m**6/900 + m**5/15 + m**4/15 - m**3/3 + m. Let j(b) be the second derivative of q(b). Factor j(i).
2*(i + 2)**2*(4*i + 1)/5
Let v(h) be the second derivative of -h**6/225 - h**5/50 - h**4/30 - h**3/45 - 6*h. Factor v(k).
-2*k*(k + 1)**3/15
Let d(o) be the first derivative of -1/36*o**4 - 1/18*o**3 - 3*o + 1/3*o**2 - 2. Let c(u) be the first derivative of d(u). Factor c(v).
-(v - 1)*(v + 2)/3
Suppose 0 = 3*i - 8*i. Let d(c) be the second derivative of -1/12*c**4 + 1/6*c**3 + i + 3*c - 1/8*c**2. Factor d(w).
-(2*w - 1)**2/4
Let h(t) be the second derivative of -t**6/252 - t**5/210 + t**4/28 - 5*t**3/6 + 2*t. Let o(j) be the second derivative of h(j). Suppose o(i) = 0. Calculate i.
-1, 3/5
Suppose -o - 6 = -1. Let r(w) = -4*w**2 + w. Let d(t) = -t**2. Let u(c) = o*d(c) + r(c). Factor u(h).
h*(h + 1)
Let y(d) be the third derivative of -d**5/330 - d**4/66 - 3*d**2. What is n in y(n) = 0?
-2, 0
Let v(m) = 48*m**2 + 147*m - 24. Let p(y) = 95*y**2 + 294*y - 50. Let w(f) = 3*p(f) - 7*v(f). Factor w(s).
-3*(s + 3)*(17*s - 2)
Suppose 0 = 6*g + 394 - 412. Find c such that 7/6*c**2 + 0 + 1/2*c**g - 4/3*c**4 - 2/3*c**5 + 1/3*c = 0.
-2, -1/2, 0, 