ose y(u) = 0. Calculate u.
0, 1
Let o(i) be the second derivative of -i**4/4 + 3*i**3/2 + 6*i**2 - 23*i. Suppose o(j) = 0. Calculate j.
-1, 4
Let h be 2/5 - (-736)/35. Let z = -1594/77 + h. Factor -48/11*l + 98/11*l**3 + 42/11*l**2 + z.
2*(l + 1)*(7*l - 2)**2/11
Let q(h) = h**2. Let u be q(-2). Factor 0*v + 2/9*v**5 + 0*v**u + 0 + 0*v**2 + 0*v**3.
2*v**5/9
Let f(c) be the second derivative of -c**6/105 + 9*c**5/70 - 4*c**4/7 + 16*c**3/21 - 37*c. Let f(i) = 0. Calculate i.
0, 1, 4
Suppose -4*u + 1 + 7 = 0. Solve -2*t - 5*t**2 - 2*t + 7*t**u - 1 + 3 = 0.
1
Let o(d) = -d**3 + 7*d**2 + 9*d - 3. Let t be o(8). Let y = 10 - t. Factor -2*q - 2/3 + 2*q**4 + 4/3*q**3 + 2/3*q**y - 4/3*q**2.
2*(q - 1)*(q + 1)**4/3
Let r(q) be the third derivative of q**8/840 - q**7/420 - q**6/90 + q**3/3 + 2*q**2. Let a(z) be the first derivative of r(z). Let a(n) = 0. Calculate n.
-1, 0, 2
Suppose -2*d - d + 12 = 0. Suppose -2*g**3 + 6*g**2 + 0*g + 7*g - 4*g - 2*g**4 + 7*g + d = 0. Calculate g.
-1, 2
Suppose 4*s - 3 - 29 = 0. Let 18*p**5 + 48*p**4 - s*p - 26*p**2 + 4*p**3 - 2*p**3 - 26*p**2 + 16 = 0. What is p?
-2, -1, 2/3
Let m(y) be the second derivative of 0*y**3 + 0 + 5*y + 3/70*y**5 + 0*y**2 - 1/21*y**4 - 1/105*y**6. Factor m(d).
-2*d**2*(d - 2)*(d - 1)/7
Factor -4*k**2 - 3*k**4 - 20*k**3 - 25 + 4*k**5 + 32*k + 9 + 10*k**4 - 3*k**4.
4*(k - 1)**3*(k + 2)**2
Let p(h) be the first derivative of 4*h + 2/7*h**3 + 9/7*h**2 - 2 + 1/42*h**4. Let j(d) be the first derivative of p(d). Suppose j(q) = 0. What is q?
-3
Factor -8/9*z**2 + 2/9*z**3 + 8/9*z + 0.
2*z*(z - 2)**2/9
Let q(i) = -i**4 - i**3 + i**2 + 1. Let w(d) = -4*d**4 - 6*d**3 + 16*d**2 - 8*d + 2. Let n(u) = -2*q(u) + w(u). Solve n(r) = 0 for r.
-4, 0, 1
Suppose -o + 2*c - 7 = 0, -1 = o - c + 1. Let d(k) be the first derivative of -5/4*k**2 - 2 - 5/4*k**4 + 1/2*k**5 - 1/12*k**6 + 5/3*k**o + 1/2*k. Factor d(y).
-(y - 1)**5/2
Let f(s) be the first derivative of 0*s**4 + 0*s**3 + 0*s + 1/9*s**6 + 0*s**2 + 0*s**5 + 3. Suppose f(d) = 0. Calculate d.
0
Let d(l) be the first derivative of 2/25*l**5 + 0*l**2 + 2/5*l - 3 + 0*l**4 - 4/15*l**3. Let d(k) = 0. What is k?
-1, 1
Let s(w) be the third derivative of 0 + 0*w + w**2 + w**4 - 1/4*w**5 - 2*w**3 + 1/40*w**6. Determine z so that s(z) = 0.
1, 2
Let w(i) be the third derivative of 1/24*i**3 + 1/240*i**6 + 0*i + 0 - 5*i**2 - 1/48*i**4 - 1/840*i**7 + 0*i**5. Find o such that w(o) = 0.
-1, 1
Let z = 8 - 6. Let r(q) = -q**3 + 4*q**2 - 4*q + 2. Let a be r(z). Factor 2*k**4 + 6*k**5 - 3*k**3 - a*k**2 + k**3 - 4*k**5.
2*k**2*(k - 1)*(k + 1)**2
Suppose -3*l = -3*y - 15, -4*l + 3*l - 4*y = 10. Suppose -3*b = l*f, -3*b - b = 4*f + 4. What is s in 2*s - 2/3 - b*s**2 + 2/3*s**3 = 0?
1
Let j(h) = -h**2 - 7*h - 4. Let q be j(-6). Suppose -q*u = 1 - 5. Factor -s**u - 9*s + 3*s**2 + 13*s.
2*s*(s + 2)
Let 32*u + 9*u**5 + 28*u**4 - 24*u**3 - 7*u**5 - 8*u**4 - 16*u**2 - 6*u**5 = 0. What is u?
-1, 0, 2
Let a(h) be the first derivative of -h**3/18 - h**2/2 - 5*h/6 + 8. Solve a(v) = 0.
-5, -1
Suppose -4 = -t - 0. Let -4*g**5 + 7*g**4 - 5*g**t + 2*g**5 = 0. What is g?
0, 1
Let g = 340/227 + 1/454. Factor 0*h**2 + 0 - g*h + 3/2*h**3.
3*h*(h - 1)*(h + 1)/2
Let u = 2/101 - -196/303. Let x(z) be the first derivative of -1/2*z**4 + z**2 + 2*z - u*z**3 + 1. Factor x(j).
-2*(j - 1)*(j + 1)**2
Let d = -249 + 1249/5. Factor -6/5*t**2 + 2/5*t - 2*t**3 - d*t**4 + 2/5.
-2*(t + 1)**3*(2*t - 1)/5
Let k(m) = -5*m**4 - 2*m**3 - 7*m**2 + 7*m. Let i(l) = -l**4 - l**2 + l. Let w(v) = -14*i(v) + 2*k(v). Factor w(z).
4*z**3*(z - 1)
Let -4*l**3 - 50*l**3 - 60*l**5 - 32*l**3 + 13*l**3 + 13*l - 131*l**4 + 9*l**2 + 2 = 0. What is l?
-1, -1/3, -1/4, 2/5
Let i(p) be the first derivative of 1/8*p**4 + 1/2*p**2 + 3 - p**3 + 1/20*p**5 + 0*p. Let w(a) be the second derivative of i(a). Factor w(q).
3*(q - 1)*(q + 2)
Factor -1/3*l**2 + l + 1/3 - l**3.
-(l - 1)*(l + 1)*(3*l + 1)/3
Solve 10/3*v**2 + 0 + 2/3*v**4 - 4/3*v - 8/3*v**3 = 0.
0, 1, 2
Suppose -20/3*c**2 - 10/3*c - 5/6*c**4 + 0 - 25/6*c**3 = 0. Calculate c.
-2, -1, 0
Let v(k) be the third derivative of k**7/945 - k**6/540 - k**5/270 + k**4/108 - 4*k**2. Solve v(b) = 0.
-1, 0, 1
Suppose -g = -1 + 2. Let f be (6/(-15))/(g/25). Determine z so that -1 + 4*z**3 - z**4 + 4*z**2 - f*z**2 + 0*z + 4*z = 0.
1
Let k(f) be the third derivative of -1/20*f**5 - 5*f**2 + 0 + 1/8*f**4 + 0*f + 0*f**3. Factor k(x).
-3*x*(x - 1)
Let t(a) be the first derivative of 5*a**3/3 - 35*a**2 + 245*a - 54. Factor t(m).
5*(m - 7)**2
Factor 0*x**5 - 2*x**5 - 8*x**2 + 4*x**5 + 6*x**4.
2*x**2*(x - 1)*(x + 2)**2
Let p(b) = b**2 - b - 1. Let g(t) = -25*t**2 - 5*t + 20. Let m(o) = -g(o) - 20*p(o). Factor m(d).
5*d*(d + 5)
Let g = -4129/1260 - -8/63. Let b = -12/5 - g. Determine d, given that 0 + 0*d - 3/4*d**5 - 3/4*d**4 + 3/4*d**2 + b*d**3 = 0.
-1, 0, 1
Let l(u) be the third derivative of -u**8/84 - u**7/21 - u**6/20 + u**5/30 + u**4/12 + 8*u**2. Factor l(s).
-2*s*(s + 1)**3*(2*s - 1)
Let o(m) be the second derivative of m**4/54 + m**3/27 + 30*m. Suppose o(z) = 0. Calculate z.
-1, 0
Let m(s) = 2*s**3 - 6*s**2 - 8*s. Let n(x) = -3*x**3 + 12*x**2 + 15*x. Let d(h) = 5*m(h) + 3*n(h). Factor d(v).
v*(v + 1)*(v + 5)
Let i(a) = a**2 + a. Let l(u) = 5*u**3 - 10*u**2 + 55*u - 20. Let g(w) = 15*i(w) - l(w). Suppose g(k) = 0. Calculate k.
1, 2
Let q(x) be the second derivative of -x**7/84 - x**6/12 - x**5/4 - 5*x**4/12 - 5*x**3/12 - x**2/4 + 9*x. Factor q(a).
-(a + 1)**5/2
Let a be 2*1/(-10)*15/(-162). Let f(z) be the second derivative of -1/90*z**5 + 1/27*z**3 + 1/135*z**6 - a*z**4 + 0*z**2 + 0 - 2*z. Factor f(x).
2*x*(x - 1)**2*(x + 1)/9
Let o be 12901/1764 + -7 + 2/(-7). Let f(l) be the second derivative of -2*l + o*l**4 + 1/3*l**2 + 1/6*l**3 + 0. Factor f(v).
(v + 1)*(v + 2)/3
Let a(f) be the first derivative of f**5/210 + f**4/42 + f**3/21 + f**2/2 - 1. Let d(x) be the second derivative of a(x). Factor d(z).
2*(z + 1)**2/7
Let i(r) = -3*r - 2. Let w be i(-2). Let g(b) be the third derivative of b**2 + 1/120*b**6 + 0 - 1/60*b**5 + 0*b**3 - 1/24*b**w + 0*b + 1/210*b**7. Factor g(q).
q*(q - 1)*(q + 1)**2
Let w(x) = 9*x**5 + 3*x**4 - 2*x**3 - 2*x**2 + 6*x - 6. Let b(l) = -18*l**5 - 5*l**4 + 5*l**3 + 3*l**2 - 11*l + 11. Let f(a) = 6*b(a) + 11*w(a). Factor f(d).
-d**2*(d + 1)*(3*d - 2)**2
Let n(g) be the third derivative of -g**9/5040 - g**8/2240 - g**4/6 + 5*g**2. Let s(p) be the second derivative of n(p). Factor s(b).
-3*b**3*(b + 1)
Let x(t) be the first derivative of -2*t**3/3 - t**2 + 12*t + 1. Factor x(z).
-2*(z - 2)*(z + 3)
Suppose 4*n - 18 + 2 = 0. Let j(a) be the second derivative of 0*a**3 + a + 0 + 1/10*a**5 - 1/6*a**n + 0*a**2. Factor j(r).
2*r**2*(r - 1)
Let d = -81/5 - -207/10. Suppose -2 - d*a**2 - 6*a = 0. What is a?
-2/3
Suppose 6/5*i**4 - 2/5 - 4/5*i**2 + 2/5*i**5 - 6/5*i + 4/5*i**3 = 0. Calculate i.
-1, 1
Let m(v) be the first derivative of -5*v**4/8 - 25*v**3/2 - 315*v**2/4 - 245*v/2 - 61. Let m(u) = 0. What is u?
-7, -1
Suppose -5*l + 5*u = 25, 2*l = -3*u - u + 20. Suppose -3*n + l*n = 0. Factor -2/3*q**2 - 2/3*q + n.
-2*q*(q + 1)/3
Let f(o) be the third derivative of 0*o + 1/3*o**3 + 3*o**2 - 1/8*o**4 + 0 + 1/60*o**5. Let f(p) = 0. Calculate p.
1, 2
Let w(l) be the third derivative of 1/3*l**3 + l**2 + 0 - 1/8*l**4 + 0*l + 1/60*l**5. Let w(g) = 0. What is g?
1, 2
Let g = -4 + 4. Let i be g*(1 + 3 + -3). Factor -z + 1/2*z**2 + i.
z*(z - 2)/2
Let p(y) be the third derivative of -y**7/21 + y**6/24 - y**2. Let p(z) = 0. Calculate z.
0, 1/2
Let 4/9 - 2/9*q**2 + 2/3*q**3 - 2/3*q - 2/9*q**4 = 0. Calculate q.
-1, 1, 2
Let c(a) = -a**3 - 10*a**2 + 9*a + 14. Let r(y) = 5*y**3 + 60*y**2 - 55*y - 85. Let q(j) = -25*c(j) - 4*r(j). Factor q(d).
5*(d - 1)*(d + 1)*(d + 2)
Let l(i) = -5*i**2 + 4*i + 3. Let p(a) = 4*a**2 - 4*a - 4. Let x(h) = 2*l(h) + 3*p(h). Suppose x(u) = 0. Calculate u.
-1, 3
Let y(u) be the first derivative of -14/5*u**3 - 4/5*u - 11/5*u**2 - 17/10*u**4 + 3 - 2/5*u**5. Factor y(g).
-2*(g + 1)**3*(5*g + 2)/5
Let -1/2 - 1/4*y - 11/4*y**3 + 3/4*y**4 + 11/4*y**2 = 0. Calculate y.
-1/3, 1, 2
Let y(w) be the second derivative of 3*w**6/25 + 21*w**5/50 + 8*w**4/15 + 4*w**3/15 - 4*w. What is n in y(n) = 0?
-1, -2/3, 0
Solve 1 + 5/4*j**2 + 1/4*j**3 + 2*j = 0.
-2, -1
Let y = 4 + -2. Let k = y + 0. D