 2*o**4 = 0. Calculate o.
-1, 0, 1
Find f such that -4/3*f**5 + 0 + 0*f**2 - 4/3*f**3 + 10/3*f**4 + 0*f = 0.
0, 1/2, 2
Let f = -24 + 24. Let t(d) be the third derivative of 0*d - 1/108*d**4 - d**2 + 0*d**3 + f - 1/270*d**5. Factor t(k).
-2*k*(k + 1)/9
Factor -1/3*n**2 - 1/3*n**3 + 0 + 1/3*n + 1/3*n**4.
n*(n - 1)**2*(n + 1)/3
Let h be (-300)/8 + 3/12. Let u = -37 - h. Factor -u*d**4 - 1/4*d**2 + 0*d + 0 - 1/2*d**3.
-d**2*(d + 1)**2/4
Let -9*i**3 - 5*i**3 - 7*i**5 - 4*i**2 + 21*i**5 + 4*i**4 = 0. Calculate i.
-1, -2/7, 0, 1
Let q be 1*(2 + 0) - -1. Factor -y**4 + 0*y**5 - y**4 + 2*y**2 - 4*y**5 + 3*y**5 + y**q.
-y**2*(y - 1)*(y + 1)*(y + 2)
Suppose 2*m + 2*m - 8 = 0. Suppose 0*z - 4*z + 8 = 0. Suppose -s - 2*s**z + 0*s**m - s = 0. What is s?
-1, 0
Suppose -4*k + 16 = -0*k. Suppose -4 + 2 = 5*m - k*d, -5*m - d = -13. Find g such that -2*g**m + 2 - 2 - 2*g**3 = 0.
-1, 0
Let g(q) be the first derivative of q**4/42 - q**2/7 - 2*q - 1. Let m(d) be the first derivative of g(d). Find j, given that m(j) = 0.
-1, 1
Let g(b) be the first derivative of b**4/28 - b**2/14 - 9. Determine p, given that g(p) = 0.
-1, 0, 1
Let g = 5 - -37. Let n be (-3)/4*(-16)/g. Suppose n*c - 4/7*c**2 + 0 + 2/7*c**3 = 0. What is c?
0, 1
Let z(a) be the first derivative of -7*a**4/36 + a**3/2 - a**2/3 - 3*a - 2. Let i(b) be the first derivative of z(b). Find n such that i(n) = 0.
2/7, 1
Let u(k) = k**4 + k**3 + 3*k**2 + k - 2. Let p(c) = c**4 + c. Let b(d) = 4*p(d) - 2*u(d). Determine g so that b(g) = 0.
-1, 1, 2
Let i be (0 - 12/(-54)) + 25/9. Let q(h) be the second derivative of -3*h + 0*h**i + 1/54*h**4 + 0 + 0*h**2. Let q(m) = 0. What is m?
0
Let x(o) = -o**5 + o**4 - o**3 + o**2 - o + 1. Let m(q) = q**5 - 4*q**4 + 4*q**3 + 6*q**2 + 9*q. Let j(d) = -2*m(d) - 4*x(d). Factor j(u).
2*(u - 2)*(u + 1)**4
Let p(j) be the first derivative of 2*j**5/45 - 2*j**4/9 + 2*j**3/9 - 5. Suppose p(r) = 0. Calculate r.
0, 1, 3
Let v be (-42)/(-12) + (-6)/4. Factor 6*w**3 - 6*w**v + 8*w**2 - 3*w - 8*w**2 - 3*w**5 + 3*w**4 + 3.
-3*(w - 1)**3*(w + 1)**2
Suppose 0 + 0*m**2 + 2/3*m**4 + 2/9*m**5 + 0*m - 8/9*m**3 = 0. Calculate m.
-4, 0, 1
Let o = 1 - 7. Let h = -4 - o. Let -3*v**3 - 6*v**4 + 2*v**h - 2*v**3 + 3*v**3 + 4*v**4 + 2*v**5 = 0. Calculate v.
-1, 0, 1
Let v(h) be the first derivative of h**3 - 12*h - 4. Factor v(o).
3*(o - 2)*(o + 2)
Determine w so that -6*w**2 + 9*w + 63*w**3 - 35*w**2 - 7*w**2 = 0.
0, 1/3, 3/7
Let c = -7 - -16. Let -54*j**2 + 16*j**3 + 16 + 24*j**4 + 8 - c*j**5 - 12*j - j**3 = 0. Calculate j.
-1, 2/3, 2
Let w(k) be the third derivative of -k**8/840 - k**7/210 - k**6/180 - k**3/6 + 4*k**2. Let m(n) be the first derivative of w(n). Factor m(b).
-2*b**2*(b + 1)**2
Let i(h) be the second derivative of 0*h**5 - 1/3*h**3 + 1/1440*h**6 + 0 + 0*h**4 + 0*h**2 - 2*h. Let l(d) be the second derivative of i(d). Factor l(a).
a**2/4
Let c(t) be the first derivative of -1 + t**3 - t**2 - 1/4*t**4 + 0*t. Suppose c(k) = 0. Calculate k.
0, 1, 2
Factor 0*w + 0 + 0*w**3 + 0*w**2 - 1/2*w**4 + 1/2*w**5.
w**4*(w - 1)/2
Let a(x) be the third derivative of -x**8/168 - 2*x**7/105 + x**6/60 + x**5/15 - 4*x**2. Solve a(t) = 0 for t.
-2, -1, 0, 1
Let p(u) be the second derivative of -u**7/6300 + u**4/6 - 3*u. Let o(w) be the third derivative of p(w). Suppose o(b) = 0. Calculate b.
0
Let d(c) be the third derivative of 6*c**2 + 2/9*c**3 + 9/40*c**6 + 0 + 13/20*c**5 + 5/9*c**4 + 0*c. Determine j so that d(j) = 0.
-1, -2/9
Let w = -1 - -3. Find z, given that 8/3*z - 8/3 - 2/3*z**w = 0.
2
Let n = 0 - 0. Suppose -8*z = -9*z. Determine p, given that n*p**2 + z + 3/2*p**3 + 0*p = 0.
0
Let a(b) be the first derivative of -1/3*b**3 - b**2 - 4 - b. Factor a(c).
-(c + 1)**2
Let 10/7*d**5 - 20/7*d**3 + 8/7*d**2 - 4/7 + 10/7*d - 4/7*d**4 = 0. Calculate d.
-1, 2/5, 1
Let b(l) be the second derivative of l**5/300 - l**4/40 + l**3/15 + 5*l**2/2 - 2*l. Let j(u) be the first derivative of b(u). Find t, given that j(t) = 0.
1, 2
Factor 8/7*a - 6/7 - 2/7*a**2.
-2*(a - 3)*(a - 1)/7
Let f(h) = 4*h**2 + 6*h + 8. Let l(w) = -3*w**2 - 5*w - 7. Suppose -5*i + 3*i = 0. Let b = i + -6. Let x(j) = b*l(j) - 5*f(j). Factor x(z).
-2*(z - 1)*(z + 1)
Let u be 1*(-3)/((-6)/4). What is s in -2/7*s**3 + 4/7*s**u - 2/7*s + 0 = 0?
0, 1
Let q(y) be the second derivative of y**4/60 + y**3/15 + y**2/10 - 31*y. What is a in q(a) = 0?
-1
Suppose -3*n + 19 = 7. Let o = -2 + n. Factor -2*x**2 - 4*x**2 + o - 2*x**3 + 2*x**4 + 10*x - 4 - 2.
2*(x - 1)**3*(x + 2)
Let m(i) be the third derivative of 0*i + 0*i**3 - 1/1050*i**7 + 1/300*i**5 - 1/1680*i**8 - 2*i**2 + 0 + 0*i**4 + 1/600*i**6. Find p such that m(p) = 0.
-1, 0, 1
Let i(b) = -b**5 - 9*b**4 + 8*b**3 - 8*b**2 + 8*b - 8. Let a(p) = -3*p**4 + 3*p**3 - 3*p**2 + 3*p - 3. Let q(l) = -8*a(l) + 3*i(l). Factor q(m).
-3*m**4*(m + 1)
Let x = -5318/27 - -197. Let d(t) be the first derivative of 0*t - 2/45*t**5 - 4 + 2/27*t**3 + 0*t**2 - x*t**6 + 1/18*t**4. Factor d(a).
-2*a**2*(a - 1)*(a + 1)**2/9
Let m = -19 + 17. Let s(i) = 2*i**2 - 2*i. Let l(k) = 4*k**2 + 0*k - 5*k + 1 + 0*k. Let b(c) = m*l(c) + 5*s(c). Factor b(h).
2*(h - 1)*(h + 1)
Let l(q) be the second derivative of -q**6/5 - q**5/20 + q**4/2 + q**3/6 - 15*q. Let l(t) = 0. What is t?
-1, -1/6, 0, 1
Suppose 12 = 5*i - 2*r, 0*r = 3*i - 5*r + 8. Suppose -5*f + 18 = -i*b, -11 = 5*f - 5*b - 31. Determine y, given that 1/4*y - 1/2 - 1/4*y**3 + 1/2*y**f = 0.
-1, 1, 2
Let y be (-18)/(-30)*(-2)/(-3). Factor 14/5*u**4 - 38/5*u**3 - 4/5 - y*u + 6*u**2.
2*(u - 1)**3*(7*u + 2)/5
Let j(v) = -26*v + 3 - v**2 + 27*v - 2. Let a(n) = -4*n**2 + 4*n + 3. Let i = 6 - 4. Let y(f) = i*a(f) - 6*j(f). What is m in y(m) = 0?
0, 1
Let q be (-32 - -32)*(14/6 + -2). Factor 4/5*s**4 - 4/5*s**2 + 0*s**3 - 2/5*s**5 + q + 2/5*s.
-2*s*(s - 1)**3*(s + 1)/5
Suppose -f = -3*a + 4, 2*a - 5*f + 16 + 3 = 0. Suppose -1/2 + 3/4*u**a + 1/4*u**4 - 3/4*u + 1/4*u**2 = 0. What is u?
-2, -1, 1
Let a(l) be the first derivative of l**6/18 + 8*l**5/15 + 25*l**4/12 + 38*l**3/9 + 14*l**2/3 + 8*l/3 + 1. Let a(y) = 0. What is y?
-2, -1
Suppose 5*a = 9*a. Let l(u) be the third derivative of 1/24*u**4 + 1/20*u**5 + a*u**3 + 2*u**2 + 0*u + 1/40*u**6 + 1/210*u**7 + 0. Factor l(b).
b*(b + 1)**3
Let u(l) = 5*l**3 - 4*l**3 + 2*l**2 + l - 4 + 2*l**2. Let x be u(-3). Solve 6*s**x + 9 + s**3 - 1 + 4*s + 8*s = 0 for s.
-2
Let p(m) be the second derivative of 4*m**5/5 - 14*m**4/3 - 31*m**3/6 - 2*m**2 + 33*m - 1. Factor p(s).
(s - 4)*(4*s + 1)**2
Let m = 76 - 70. Let s(h) be the second derivative of -1/231*h**7 + 0 + 1/110*h**5 + 0*h**4 + 2*h + 0*h**3 + 0*h**2 + 0*h**m. Factor s(t).
-2*t**3*(t - 1)*(t + 1)/11
Suppose -15 + 6 = -3*r. Let j(h) be the first derivative of 0*h + 1 - 2/15*h**r + 0*h**2. Factor j(q).
-2*q**2/5
Let y(x) be the third derivative of 1/105*x**7 + 0*x**4 + 0*x + 1/30*x**6 + 1/30*x**5 + x**2 + 0*x**3 + 0. Determine d so that y(d) = 0.
-1, 0
Factor -2/13*y + 2/13*y**2 - 12/13.
2*(y - 3)*(y + 2)/13
Let p(c) be the second derivative of -c**5/90 + 7*c**4/54 - 11*c. Factor p(y).
-2*y**2*(y - 7)/9
Let v be (2/4 - 2)*28/(-21). Let y(u) be the first derivative of 2/9*u**2 + 2/27*u**3 + v + 2/9*u. Suppose y(j) = 0. Calculate j.
-1
Let l(a) be the third derivative of 0*a + 1/2184*a**8 + 0 + 1/1365*a**7 + 0*a**3 - 7*a**2 - 1/390*a**5 - 1/780*a**6 + 0*a**4. Factor l(j).
2*j**2*(j - 1)*(j + 1)**2/13
Let g(i) = -i**2 + 3*i + 30. Let j be g(7). Let d(w) = w - 2. Let b be d(5). Factor 0*c + 2/7*c**b + 0*c**j + 0.
2*c**3/7
Let k(r) = -6 + 7*r + r**2 + 0*r**2 - r. Let b be k(-8). Factor -3*o + 4*o**3 - o**3 - 8*o**2 + b*o - 2.
(o - 1)**2*(3*o - 2)
Let q(s) = 5*s**2 - 15*s + 10. Let m(o) = -2*o**2 + 5*o - 3. Let t(y) = -10*m(y) - 3*q(y). Find k such that t(k) = 0.
0, 1
Let a = 25/53 - -3/106. Suppose 1/2*z**3 - 1/2*z**2 + 1/2 - a*z = 0. Calculate z.
-1, 1
Let v = -9/7 - -25/14. Let a(i) be the second derivative of 1/6*i**4 + 0 - 1/10*i**6 + 1/42*i**7 - 1/2*i**3 + v*i**2 + 2*i + 1/10*i**5. Factor a(k).
(k - 1)**4*(k + 1)
Factor a**2 - 7/2*a + 7/2*a**3 - 1.
(a - 1)*(a + 1)*(7*a + 2)/2
Let s(r) = -r**2 + 5*r + 8. Let u be s(6). Suppose -u*a = 3*c - 16, -c = 2*c - 4*a + 14. Factor c*t - 2*t - 2*t**2 + 2.
-2*(t - 1)*(t + 1)
Solve 4/5*u**2 + 2/5*u**3 + 0*u + 0 = 0.
-2, 0
Let w(x) be the first derivative of x**