ative of 0*w**3 + 1/525*w**7 + 3*w**2 - 1/30*w**4 + 0*w + 0 + 0*w**6 - 1/50*w**5. Factor n(v).
2*v*(v - 2)*(v + 1)**2/5
Let o(y) be the first derivative of -y**6/6 - y**5/5 + 3*y**4/4 + y**3/3 - y**2 + 5. Factor o(b).
-b*(b - 1)**2*(b + 1)*(b + 2)
Factor -3/7*g**2 + 0 + 3/7*g.
-3*g*(g - 1)/7
Find i, given that 2*i**4 - 6*i**5 + 8*i - 19*i**4 - 14*i**3 - 3*i**4 + 8*i**2 = 0.
-2, -1, 0, 2/3
Let u(h) = h**3 - 5*h**2 - 6*h + 4. Let t be u(6). Let w be (-1)/(((-2)/t)/1). Factor -2 - 2*j + 3 - w - j**2.
-(j + 1)**2
Factor -w**4 + 773*w - 765*w - 16 + 15*w**2 - 8*w**3 + 2*w**4.
(w - 4)**2*(w - 1)*(w + 1)
Let t be (-10)/(-10)*(-4)/(-14). Let b = 212 + -1480/7. Determine y, given that -t + 4/7*y + 2/7*y**2 - b*y**3 = 0.
-1, 1/2, 1
Let h(u) be the first derivative of 3*u**4/4 - 9*u**3 + 36*u**2 - 48*u - 14. Factor h(f).
3*(f - 4)**2*(f - 1)
Let v = 10 + -8. Solve 2*p + 0*p - 4*p - 2*p**v = 0.
-1, 0
Determine q, given that 0 + 3/5*q + 3/5*q**2 - 3/5*q**3 - 3/5*q**4 = 0.
-1, 0, 1
Let c(m) = 22*m + 3. Let b be c(2). Determine h so that 20*h**2 - h + b*h**3 - 35*h**3 + 9*h = 0.
-1, -2/3, 0
Let w(q) be the second derivative of q**7/420 - q**6/90 + q**5/60 - 5*q**3/6 + 5*q. Let z(l) be the second derivative of w(l). Factor z(a).
2*a*(a - 1)**2
Let g(a) be the first derivative of -1/8*a**4 + 0*a + 0*a**2 + 1/30*a**5 + 1/9*a**3 - 4. Factor g(h).
h**2*(h - 2)*(h - 1)/6
Let x(y) be the first derivative of 11/4*y**2 + 8/3*y**3 + 7/8*y**4 + 3 + y. Factor x(f).
(f + 1)**2*(7*f + 2)/2
Let -10*l + 4 - 2*l**2 - 3*l**2 - 4 = 0. What is l?
-2, 0
Let h(f) be the third derivative of -2*f**2 + 1/48*f**4 + 2/105*f**7 + 1/12*f**6 + 0*f**3 + 0 + 17/240*f**5 + 0*f. Factor h(a).
a*(a + 2)*(4*a + 1)**2/4
Let x(n) be the second derivative of n**7/7560 + n**6/540 + n**5/90 - n**4/4 + n. Let f(t) be the third derivative of x(t). Factor f(a).
(a + 2)**2/3
Factor -185 + 185 - 2*m**3 + 2*m**2 + 2*m - 2*m**4.
-2*m*(m - 1)*(m + 1)**2
Suppose -2*w = 1 - 5. Let g be 26/6 - (-2)/(-6). Suppose -2*m**3 - 4*m**w - 4 + g = 0. What is m?
-2, 0
Let n(x) be the third derivative of -1/660*x**6 - 1/165*x**5 - 3*x**2 + 0 + 0*x + 0*x**4 + 0*x**3. Factor n(d).
-2*d**2*(d + 2)/11
Let t = -1 + 5. Find i, given that -i**3 + 3*i**4 + 3*i**4 - 5*i**t = 0.
0, 1
Let v = 5 - 2. Let i(d) = -3*d**5 - 2*d**4 + d**3 - 2*d**2. Let r(z) = -z**5 - z**4 - z**3. Let w(a) = v*i(a) - 6*r(a). Factor w(b).
-3*b**2*(b - 1)**2*(b + 2)
Let z(a) be the first derivative of 7*a**5/5 - 19*a**4/4 + 5*a**3 - a**2/2 - 2*a - 8. Determine p, given that z(p) = 0.
-2/7, 1
Let i(n) be the second derivative of n**10/7560 - n**9/3780 - n**8/1680 + n**7/630 - n**4/2 - 3*n. Let b(z) be the third derivative of i(z). Factor b(g).
4*g**2*(g - 1)**2*(g + 1)
Let d be (-4 - (1 + -5))*18/18. Factor 0 - 2/7*x**5 + 0*x**2 + 4/7*x**3 + d*x**4 - 2/7*x.
-2*x*(x - 1)**2*(x + 1)**2/7
Let l(c) = -c**2 - 7*c - 6. Let z be l(-6). Let w(a) be the second derivative of 0*a**4 + 0 + 0*a**2 + 1/21*a**7 + z*a**6 + 0*a**3 - a - 1/10*a**5. Factor w(h).
2*h**3*(h - 1)*(h + 1)
Let z(x) = 3*x**2 - 5*x + 11. Let h(b) = b**2 - 2*b + 4. Let d(o) = -11*h(o) + 4*z(o). Determine w so that d(w) = 0.
-2, 0
Let u be (3 - (-14)/(-5))/6. Let i(d) be the second derivative of -1/5*d**2 + 0 - u*d**4 + 2/15*d**3 - 2*d. Solve i(a) = 0 for a.
1
Let i = -1 - -8. Let h(j) = j**3 - 7*j**2 + j - 5. Let u be h(i). Factor -2*z**3 + 3*z**3 + 0*z**u + z**2.
z**2*(z + 1)
Suppose 2*s = -2*s + 24. Let n(d) be the second derivative of 0*d**2 + 2*d + 1/105*d**s + 0 + 2/21*d**4 + 0*d**3 + 2/35*d**5. Determine u, given that n(u) = 0.
-2, 0
Let z(b) be the third derivative of b**8/420 + 2*b**7/525 - b**6/150 - b**5/75 - 18*b**2. Factor z(c).
4*c**2*(c - 1)*(c + 1)**2/5
Let g(o) be the third derivative of -o**7/525 - o**6/300 + o**5/150 + o**4/60 + 5*o**2. Factor g(v).
-2*v*(v - 1)*(v + 1)**2/5
Let f(y) be the second derivative of y**7/63 + y**6/15 + y**5/15 - y**4/9 - y**3/3 - y**2/3 + 49*y. Factor f(l).
2*(l - 1)*(l + 1)**4/3
Suppose -2*t - 2 = -0*t + 4*o, -6 = 3*o. Let l = t + -1. Determine s, given that 0 - 2/5*s**l + 2/5*s = 0.
0, 1
Let w(p) = -6*p + 3. Let c be w(4). Let s be (-77)/c + 0 + -3. Suppose 2/3*d**5 + 0 + 0*d - 2/3*d**2 - 2/3*d**3 + s*d**4 = 0. What is d?
-1, 0, 1
Let v(l) be the second derivative of 1/7*l**2 - 1/21*l**3 - 1/147*l**7 + 1/35*l**5 + 3*l + 0 - 1/21*l**4 + 1/105*l**6. Solve v(u) = 0 for u.
-1, 1
Factor -12/5*v + 0 + 2/5*v**2.
2*v*(v - 6)/5
Let p(l) be the second derivative of l**7/357 + l**6/255 - l**5/34 + l**4/34 - 10*l. Suppose p(n) = 0. Calculate n.
-3, 0, 1
Factor 25/4*r - 5 - 5/4*r**2.
-5*(r - 4)*(r - 1)/4
Let l(k) = -k - 14. Let w be l(-7). Let m be 0 - 12/(3 + w). What is d in 0 - 2/3*d**4 + 4/3*d - 10/3*d**2 + 8/3*d**m = 0?
0, 1, 2
Let t(j) be the third derivative of 1/140*j**5 + 0 + 1/42*j**3 - 2*j**2 + 1/840*j**6 + 0*j + 1/56*j**4. Factor t(y).
(y + 1)**3/7
Suppose 5 = 4*b - 7. Solve 12*i**5 + 8*i**2 + 6*i - 2*i - 21*i**b - 5*i**5 + 2*i**4 = 0 for i.
-2, -2/7, 0, 1
Factor 4/9*l**2 - 2/9*l + 0 - 2/9*l**3.
-2*l*(l - 1)**2/9
Let c(p) be the first derivative of -2/33*p**3 + 0*p**2 - 1/22*p**4 + 0*p - 3. What is m in c(m) = 0?
-1, 0
Let y(g) be the first derivative of -1/42*g**4 + 1 - 1/7*g**2 + g + 2/21*g**3. Let m(o) be the first derivative of y(o). Factor m(j).
-2*(j - 1)**2/7
Let r(b) = 2*b - b + 4*b. Let g be r(2). Factor 3*i**5 - g*i + 2*i**3 - 8*i**3 + 13*i.
3*i*(i - 1)**2*(i + 1)**2
Let h(n) = -3*n**3 - 6*n**2 + n + 8. Let g(a) = a**3 + 2*a**2 - 3. Let k(o) = -8*g(o) - 3*h(o). Let k(l) = 0. Calculate l.
-3, 0, 1
Determine q, given that 0 - 6/7*q**3 + 4/7*q**2 - 2/21*q + 8/21*q**4 = 0.
0, 1/4, 1
Let y(i) be the first derivative of -13/2*i**2 - 2*i - 2/3*i**3 - 2. Let x(u) = -u**2 - u. Let r(q) = 6*x(q) - y(q). Find g such that r(g) = 0.
-1/4, 2
Let y(n) = n + 2. Let h be y(0). Let z = 0 + h. Factor -5*i**2 + 0*i**z + i**3 + 4*i**2.
i**2*(i - 1)
Let o(m) be the first derivative of 3*m**4/4 + 5*m**3 - 3*m**2/2 - 15*m - 30. Factor o(h).
3*(h - 1)*(h + 1)*(h + 5)
Let k be ((-4)/6)/((-2)/72). Let u be 68/k + (-3)/(-18). What is c in u*c**2 + 6*c**3 - 4*c**2 + 0*c**2 - 3*c**4 - 2*c**2 = 0?
0, 1
Let n be 1/1 - (13 + -12). Solve -1/2*x**2 + n + 0*x - 5/4*x**3 + 1/2*x**4 + 5/4*x**5 = 0 for x.
-1, -2/5, 0, 1
Let d = 4 - 16. Let z be 2 + (1 - (-4)/d). Factor 2/3*g**2 + 8/3 - z*g.
2*(g - 2)**2/3
Let i be 1*10*16/40. Factor -2*l + 3*l**i - 4*l**3 + 4*l - 2*l + l**2.
l**2*(l - 1)*(3*l - 1)
Let s be (-6)/(-2) - 3/3. Let y(m) be the second derivative of 0*m**2 + 0 + s*m + 0*m**3 - 1/48*m**4. Let y(t) = 0. Calculate t.
0
Let r(n) be the second derivative of -1/15*n**3 + 1/50*n**5 + 0 - 3*n - 1/75*n**6 + 0*n**2 + 1/30*n**4. Let r(y) = 0. Calculate y.
-1, 0, 1
Let v(i) = -i**2 + 8*i - 16. Let m be v(6). Let z be (75/(-30))/(2/m). Solve 1/3*j**z + 0*j - 2/3*j**2 + 0 + 0*j**4 - j**3 = 0 for j.
-1, 0, 2
Suppose -585/4*z**2 - 50*z - 405/4*z**3 - 5 = 0. Calculate z.
-1, -2/9
Let d be 23/51 + 14/(-119). Solve d*l**4 + 1/3 - 2/3*l**2 + 0*l**3 + 0*l = 0 for l.
-1, 1
Let r(x) be the first derivative of -1/2*x**4 + 0*x + 0*x**2 + 2/3*x**3 - 3. Factor r(m).
-2*m**2*(m - 1)
Let i(w) = -w**3 + 2*w**2 - 2*w + 2. Let m be i(3). Let z = m - -13. Solve -2/3*d**3 - 2/9*d**4 + z - 2/9*d - 2/3*d**2 = 0.
-1, 0
Let o(x) = -4*x + x**3 - 2*x - 1 + 3*x + 0. Let y(r) = 2*r**3 - 6*r - 3. Let w(z) = -5*o(z) + 2*y(z). Let v(l) be the first derivative of w(l). Factor v(q).
-3*(q - 1)*(q + 1)
Let n(z) be the first derivative of -z**8/1680 + z**7/525 - z**6/600 + z**2/2 - 1. Let y(s) be the second derivative of n(s). Factor y(u).
-u**3*(u - 1)**2/5
Let s = 23 - 13. Find x, given that -10 + 14*x**2 + 4*x + 6*x**3 + s = 0.
-2, -1/3, 0
Let x(c) be the first derivative of c**8/504 + c**7/315 - c**6/180 - c**5/90 + c**2 - 3. Let f(n) be the second derivative of x(n). Factor f(k).
2*k**2*(k - 1)*(k + 1)**2/3
Let y(h) be the third derivative of h**8/3024 - h**7/1890 - h**6/1080 + h**5/540 - 10*h**2. Factor y(d).
d**2*(d - 1)**2*(d + 1)/9
Let t(g) be the first derivative of 1/10*g**5 + 2*g + 1 + 0*g**3 + 0*g**2 + 1/6*g**4. Let f(r) be the first derivative of t(r). Factor f(i).
2*i**2*(i + 1)
Let j be ((-9)/6)/(1/(-2)). Let s = -1 + j. Let -2*i + 4*i + i**2 - 3*i + s*i = 0. What is i?
-1, 0
Let l(o) = o**3 - o**2 