2/7*d**4 - 4/7*d + o*d**3 + 0 = 0?
-2, 0, 1
Let v(z) be the second derivative of 0*z**2 - 17/105*z**6 + 0*z**3 + 4/49*z**7 + 3/70*z**5 + 0 - 4*z + 1/21*z**4. Suppose v(s) = 0. Calculate s.
-1/4, 0, 2/3, 1
Let h be ((-8)/10 + 1)/1. Let m(n) be the first derivative of -1 - 3/5*n**3 + 0*n - h*n**2. Factor m(r).
-r*(9*r + 2)/5
Suppose 3*w + 6*w - 27 = 0. Let d(y) be the first derivative of -1/10*y**4 + 2/15*y**w - 1 + 0*y + 0*y**2. Factor d(f).
-2*f**2*(f - 1)/5
Let i(m) be the third derivative of -m**7/70 + m**6/10 - m**5/5 - 2*m**2. Find k, given that i(k) = 0.
0, 2
Suppose 0 = -c - 1 + 5. Suppose 7*j - 6 = c*j. Factor -j*h**2 + 6*h**2 - 3*h**2 + h.
h*(h + 1)
Let y(x) be the second derivative of -x**4/4 - 2*x**3 - 6*x**2 - 45*x. Factor y(t).
-3*(t + 2)**2
Factor x + 2*x**2 - 21*x + 50 + 0*x**2.
2*(x - 5)**2
Factor -1/5*g + 0 - 1/5*g**2.
-g*(g + 1)/5
Let t(s) be the second derivative of -2*s**6/15 - s**5 - 3*s**4 - 14*s**3/3 - 4*s**2 - 17*s. Factor t(i).
-4*(i + 1)**3*(i + 2)
Factor 3*i**4 + i**3 - i**5 - i**2 - 3*i**4 - 4*i**4 + 5*i**4.
-i**2*(i - 1)**2*(i + 1)
Suppose -2/3*k**2 + 4/3 - 2/3*k = 0. Calculate k.
-2, 1
Let u(j) = 4*j**3 + j**2 - 2. Let v be u(1). Factor 16/3*w**v - 2/3 - 40/3*w**2 + 17/3*w.
(w - 2)*(4*w - 1)**2/3
Let h(d) = 2*d**2 - 13*d - 4. Let i(a) = -8*a**3 - 2*a**2 + 1. Let k be i(-1). Let f be h(k). Factor -m**2 - 1/4*m**f + 0 + m**4 + 1/4*m.
m*(m - 1)*(m + 1)*(4*m - 1)/4
Let f be ((-6)/3)/((-4)/10). Let n(m) be the second derivative of -1/7*m**2 + 1/70*m**f + 2*m - 1/21*m**3 + 0 + 1/42*m**4. Find v, given that n(v) = 0.
-1, 1
Factor 4 - 8*a**2 + 2*a**3 + 2*a**4 - 2 - a**5 + 7*a - 4.
-(a - 1)**4*(a + 2)
Let n = -8 + 2. Let r be 1*(2 + n/(-3)). Factor 8/7*d - 2/7 + 8/7*d**3 - 12/7*d**2 - 2/7*d**r.
-2*(d - 1)**4/7
Let p = 55 + -48. Let u(d) be the second derivative of -2/21*d**4 + 3/35*d**5 + 1/21*d**3 + 0 + 0*d**2 - 4/105*d**6 + 1/147*d**p - 2*d. Factor u(a).
2*a*(a - 1)**4/7
Let v = -3 - -7. Factor -b + b + 3 - v + b**2.
(b - 1)*(b + 1)
Suppose 5*i - 41 = 4. Suppose -2*v + i = 1. Factor -3 + 3 - 2*u**2 + v*u.
-2*u*(u - 2)
Let j(a) be the first derivative of 1/30*a**4 - 4*a + 0*a**2 + 0*a**3 + 1/50*a**5 - 4. Let b(y) be the first derivative of j(y). Find l, given that b(l) = 0.
-1, 0
Let t(m) = -m**3 - m. Let k(a) = 4*a**3 - 2*a**2 + 4*a. Suppose 5*r - r = 8. Let l(d) = r*k(d) + 6*t(d). Factor l(s).
2*s*(s - 1)**2
Suppose 4*z = -d + 18, -z - 10 = -d - 3*z. Factor 6*w**3 - 2*w**d - 5*w**3 + 4*w**2 + w.
w*(w + 1)**2
Let y = 89/5 - 257/15. Let s(u) be the first derivative of -1/6*u**6 - u**4 - 1 + 5/2*u**2 + 4/5*u**5 - 2*u - y*u**3. Factor s(p).
-(p - 2)*(p - 1)**3*(p + 1)
Suppose 4*d + 0*z + 3*z = 82, 5*z - 10 = 0. Let m = -29 + 40. Factor -5*b + d - 3*b + 2*b**2 - m.
2*(b - 2)**2
Let r(n) be the third derivative of -n**5/40 + n**4/16 + n**3/2 - 6*n**2. Factor r(o).
-3*(o - 2)*(o + 1)/2
Let n(u) = 3*u**2 + 5. Let i(w) = w**2 + 1. Let k(q) = 5*i(q) - n(q). Let o be k(-1). Determine j so that 6*j**2 - 2*j**4 - 4*j**3 - 2 - 3 + o*j - 3 + 6*j = 0.
-2, 1
Let x(c) be the second derivative of -c**5/120 - c**4/24 - c**3/12 + c**2 - 2*c. Let p(l) be the first derivative of x(l). Factor p(h).
-(h + 1)**2/2
Let t be (-6 - 1) + 370/37. Suppose -2/3*n**t - 5/3*n**2 - 2/3*n + 0 = 0. What is n?
-2, -1/2, 0
Let v = -15 - -23. Suppose -3*z = z - v. Factor 2*t**2 + t**z + 1 + 3*t + t**3 + 0.
(t + 1)**3
Suppose 0 = 2*l + l - 6, 3*k = 3*l + 15. Solve 5*g**4 + 24*g**3 + 2*g - 6*g**3 + 3*g**4 - k*g**2 + 19*g**2 = 0 for g.
-1, -1/4, 0
Suppose 2*u + 78 = -4*u. Let k = -13 - u. Factor -1/3*m**4 + m**3 + k - m**2 + 1/3*m.
-m*(m - 1)**3/3
Factor 2/3*i + 1/6*i**4 + 1/2*i**2 - 2/3*i**3 - 2/3.
(i - 2)**2*(i - 1)*(i + 1)/6
Let g(n) be the third derivative of -n**8/560 + 4*n**7/175 - n**6/8 + 19*n**5/50 - 7*n**4/10 + 4*n**3/5 - 42*n**2. Factor g(s).
-3*(s - 2)**3*(s - 1)**2/5
Let o(c) = -2*c**5 + 12*c**4 - 24*c**3 + 16*c**2 + c + 1. Let w(p) = -p - 1. Let b(d) = o(d) + w(d). Find l, given that b(l) = 0.
0, 2
Let r be 3/(-5) - (-219)/540. Let t = 1/18 - r. Find f, given that 0 + 1/2*f - t*f**2 = 0.
0, 2
Factor 4 + 2/3*q**2 - 10/3*q.
2*(q - 3)*(q - 2)/3
Suppose -11 = -2*l + w, 5*l = -0*l + 5*w + 35. Let 0*k**4 + 0*k**4 - k**5 + 2*k**l - 2*k**2 + k = 0. What is k?
-1, 0, 1
Suppose -r = -5*k + 13, -3*k + 0*k + 13 = 2*r. Let a(x) be the third derivative of -1/60*x**5 + 0 + 1/6*x**3 - 2*x**r + 0*x + 0*x**4. Factor a(p).
-(p - 1)*(p + 1)
Let z(g) be the first derivative of g**6/18 - g**5/3 + 5*g**4/6 - 10*g**3/9 + 5*g**2/6 - g/3 - 30. Factor z(a).
(a - 1)**5/3
Suppose -3*m + 6*q - 2*q = -23, 0 = -2*m + 5*q + 13. Determine a so that -m*a**4 + 0*a**5 + 3*a**2 - 3*a**5 - 3*a**5 = 0.
-1, 0, 1/2
Let y(i) = -i - 12. Let x be y(-14). Let d(o) be the first derivative of 0*o + 2/7*o**2 + 2/21*o**3 + x. What is n in d(n) = 0?
-2, 0
Let l(a) be the third derivative of a**6/60 - a**5/6 + a**4/4 + 3*a**3 + 25*a**2. Factor l(i).
2*(i - 3)**2*(i + 1)
Let q(c) be the first derivative of -9 + 0*c + 2/7*c**2 - 2/21*c**3. Determine r so that q(r) = 0.
0, 2
Let b = 436/185 - 28/37. Factor 2/5*l**3 + b*l + 8/5*l**2 + 0.
2*l*(l + 2)**2/5
Let i be ((-15)/(-6) + -5)*15/(-50). Factor -i*z**3 + 9*z**2 + 48 - 36*z.
-3*(z - 4)**3/4
Suppose 16 = 5*x + 6. Let -2*q + 4/5 + 6/5*q**x = 0. What is q?
2/3, 1
Factor -10 + 5*d**5 + 10*d**2 - 10*d + 4*d**3 - 24*d**3 + 25*d.
5*(d - 1)**3*(d + 1)*(d + 2)
Let x = 5 - -3. Suppose 4*z - 2*z - x = 0. Find a, given that 2 + 2*a - 3*a**3 + 2*a**z + 2*a**5 + 0*a**3 - 5*a**2 + a**2 - a**3 = 0.
-1, 1
Let c(v) be the first derivative of 2 - 1/15*v**5 - 1/9*v**3 - 1/2*v**2 + 1/4*v**4 + 2/3*v. Suppose c(j) = 0. Calculate j.
-1, 1, 2
Let l be (9/12)/(1/2). Suppose -q - 3*t + 8 = 0, -t = q - 0*t - 4. Factor -1/4 - l*x**q + x + x**3 - 1/4*x**4.
-(x - 1)**4/4
Let f(t) be the first derivative of t**5/35 + t**4/28 - t**3/21 - t**2/14 - 16. What is k in f(k) = 0?
-1, 0, 1
Let f(x) be the second derivative of x**4/6 - 5*x**3/21 - 2*x**2/7 + 12*x. Factor f(n).
2*(n - 1)*(7*n + 2)/7
Factor -2*c**3 + c + 3*c - 2*c**2 - 5*c**4 + 7*c**2 - 2*c.
-c*(c - 1)*(c + 1)*(5*c + 2)
Let o(k) be the third derivative of k**8/110880 - k**7/9240 + k**5/15 - 8*k**2. Let n(m) be the third derivative of o(m). Let n(t) = 0. What is t?
0, 3
Let s = -5 - -9. Let 2*x**2 + 2*x - 18*x**3 - 2/5 + 72/5*x**s = 0. What is x?
-1/3, 1/4, 1/3, 1
Let f(k) be the second derivative of -5*k**4/12 - 5*k**3/2 - 5*k**2 + 11*k. Factor f(u).
-5*(u + 1)*(u + 2)
Suppose 4*w - 5 = 3*q, 2*w - 4*q + 14 = 7*w. Let -6*p**3 - w*p**2 - 3*p**4 + 4*p**4 - 2*p**5 - 7*p**4 = 0. Calculate p.
-1, 0
Suppose 40*o**5 + 4*o**2 + 14*o**2 + 16 - 110*o**2 - 128*o**3 + 16*o + 4*o**4 = 0. Calculate o.
-1, -1/2, 2/5, 2
Let v be (-27)/15 + 2 + (-2)/10. Factor v*z - 2/5*z**2 + 0.
-2*z**2/5
Let t(j) = 2*j - 1. Let c be t(3). Suppose k = -4*v - 18, k + c*v = -k - 21. Let -1/3*y + 1/3*y**k - 1/3 + 1/3*y**3 = 0. What is y?
-1, 1
Let x(y) be the third derivative of y**7/315 - y**6/30 - 7*y**5/90 + 31*y**2. Factor x(t).
2*t**2*(t - 7)*(t + 1)/3
Let b(z) be the third derivative of z**6/300 + z**5/150 - z**4/30 + 8*z**2. Let b(g) = 0. Calculate g.
-2, 0, 1
Let p(h) be the first derivative of -2/7*h - 2/7*h**2 + 2/35*h**5 - 6 + 0*h**3 + 1/7*h**4. Determine n, given that p(n) = 0.
-1, 1
Factor 8*i**2 - 6*i**2 - 3*i**4 - 47*i**2 - 2*i**4 + 30*i**3.
-5*i**2*(i - 3)**2
Let i(v) be the first derivative of v**3/3 + 2*v**2 - 18. Let i(h) = 0. What is h?
-4, 0
Let c(k) be the third derivative of k**6/180 - 13*k**5/90 + 4*k**4/3 - 4*k**3 + 14*k**2. Factor c(n).
2*(n - 6)**2*(n - 1)/3
Let y(c) be the second derivative of c**7/14 - 3*c**6/10 + 3*c**5/10 + c**4/2 - 3*c**3/2 + 3*c**2/2 + c. Factor y(v).
3*(v - 1)**4*(v + 1)
Let i(x) be the second derivative of x**7/14 - x**6/10 - 3*x**5/20 + x**4/4 - 9*x. Factor i(b).
3*b**2*(b - 1)**2*(b + 1)
Let w = 0 + -5. Let v(j) = -j**4 + j**3 - j**2. Let y(p) = 6*p**4 - 5*p**3 + 4*p**2. Let f(x) = w*v(x) - y(x). Factor f(d).
-d**2*(d - 1)*(d + 1)
Let v(r) be the third derivative of r**6/480 + r**5/80 - r**3/6 - 3*r**2. Determine x so that v(x) = 0.
-2, 1
Let h(a) be the first derivative of a**4/24 - a**3/6 + a**2/4 - a/6 - 2. Factor h(l).
(l - 1)**3/6
Let f(m) = 2*m**3 - 13*m**2 + 7*m - 2. Let a be f(6). Let z(j) be the se