2. Let x(o) be the third derivative of m(o). Suppose x(h) = 0. What is h?
-1, 1/3
Solve 8*j - 1 - 5 + 0 - 2*j**2 = 0.
1, 3
Let 28*s + 16*s - 16 - 4 - 5*s**2 - 19*s = 0. What is s?
1, 4
Let v(s) be the third derivative of -s**5/60 + 7*s**4/24 + s**3/3 - 6*s**2. Let y be v(7). Factor -2/5*c**5 + 0*c**y + 0*c**3 - 2/5*c**4 + 0*c + 0.
-2*c**4*(c + 1)/5
Let p(h) = -h**3 + 10*h**2 - 10*h + 12. Let f be p(9). Let i = 9 + -5. Factor -4*k**f + 4*k**3 - 2*k**i - 2 + 4*k**2.
-2*(k - 1)**2*(k + 1)**2
Suppose 6*s - 11*s = -15. Factor -2*l**3 - 3*l**2 + 3 - 7*l**3 + 9*l + 0*l**s.
-3*(l - 1)*(l + 1)*(3*l + 1)
Let y = 683 + -683. Solve y*l + 0 - 3/2*l**2 = 0.
0
Suppose -6 = 2*x + 2*m, 3*x + 3 = 3*m + 12. Factor -7/2*c**2 - 9/2*c**3 + x + c.
-c*(c + 1)*(9*c - 2)/2
Let r(k) = k**2 + k. Let c(x) = -6*x**2 - 3*x - 9. Let w(d) = c(d) + 9*r(d). What is j in w(j) = 0?
-3, 1
Let a = -220 + 881/4. Let h be 3/5*5*1. Factor -1/4*s + a*s**h + 0 - 1/4*s**2 + 1/4*s**4.
s*(s - 1)*(s + 1)**2/4
Let r be 2 - (1 + (-2)/2). Let i(j) be the first derivative of j + 1/2*j**4 - 1/5*j**5 - j**2 - r + 0*j**3. Let i(w) = 0. What is w?
-1, 1
Let z(y) be the second derivative of -1/480*y**6 - 2*y**2 + 1/120*y**5 + 0*y**4 - y + 0 + 0*y**3. Let f(s) be the first derivative of z(s). Factor f(g).
-g**2*(g - 2)/4
Let k(o) = -o**5 + 5*o**4 - 7*o**3 + 3*o**2 + 5. Let v(w) = w**5 - 3*w**4 + 3*w**3 - w**2 - 3. Let h = 5 + -10. Let j(s) = h*v(s) - 3*k(s). Factor j(g).
-2*g**2*(g - 1)**2*(g + 2)
Let w(c) = c**5 + c**4 + c**3 - 3*c**2. Let b(z) = -z**3 + z**2. Let a(t) = -6*b(t) - 3*w(t). Find n such that a(n) = 0.
-1, 0, 1
Let i(w) be the third derivative of w**6/40 - 10*w**2. Solve i(u) = 0.
0
Let g(l) be the second derivative of 2*l**7/21 + 2*l**6/5 + 3*l**5/5 + l**4/3 + 5*l. Factor g(c).
4*c**2*(c + 1)**3
Factor 6*x**3 - 40 - 6*x + 2*x**2 - 42 + 80.
2*(x - 1)*(x + 1)*(3*x + 1)
Factor 2/7*x**5 + 6/7*x**4 - 4/7*x**2 + 4/7*x**3 - 6/7*x - 2/7.
2*(x - 1)*(x + 1)**4/7
Let i(f) = f**2 + 1. Let u(q) = q**3 + 10*q**2 + 3*q + 8. Let x be -6*((-3)/(-3))/(-3). Let w(l) = x*u(l) - 14*i(l). Factor w(o).
2*(o + 1)**3
Let n(j) = -j**3 + 5*j + 4. Let f(o) = 15*o**3 - 70*o - 55. Let t(q) = 4*f(q) + 55*n(q). Factor t(v).
5*v*(v - 1)*(v + 1)
Let h(y) = y - 2. Let p(o) = -o + 16. Let b be p(11). Let s be h(b). Factor -1/2*v - 1/2*v**4 + 0 + 1/2*v**2 + 1/2*v**s.
-v*(v - 1)**2*(v + 1)/2
Let m be (2 + 1)/((-6)/4). Let i be 3*(-4)/9 - m. Factor 0 + i*a**2 - 2/3*a.
2*a*(a - 1)/3
Let j = 2 + 4. Let b be 14/j*(-24)/(-126). Factor 2/9*o**3 + 0 - b*o - 2/9*o**2.
2*o*(o - 2)*(o + 1)/9
Let f(n) be the second derivative of -n**8/840 + n**6/300 + 3*n**2/2 + 2*n. Let l(z) be the first derivative of f(z). Determine o, given that l(o) = 0.
-1, 0, 1
Let u(b) = b**3 - b. Let s(a) = 2*a**3 - 2*a. Let t(r) = -s(r) + 4*u(r). Suppose t(j) = 0. Calculate j.
-1, 0, 1
Let l(w) be the third derivative of -w**6/420 - w**5/70 - w**4/42 - 33*w**2. Solve l(j) = 0.
-2, -1, 0
Let g(n) = 4*n**2 + n + 1. Let w be g(-1). Factor -w - l**2 + l**2 + 2*l**2 - 2*l + 0*l**2.
2*(l - 2)*(l + 1)
Factor 3*j - 2*j + 3*j - j**3 - 3*j**3.
-4*j*(j - 1)*(j + 1)
Let s = 7 - -4. Let j be 5 - 2 - s/5. Solve j*m**2 - 2*m + 4/5 = 0 for m.
1/2, 2
Solve 2 + 5 - 4*u - 12 - u**2 + 1 = 0 for u.
-2
Let l be (-5)/25 + (-104)/(-420). Let r(s) be the second derivative of 1/70*s**5 + 1/21*s**4 - s + 0*s**2 + l*s**3 + 0. Factor r(z).
2*z*(z + 1)**2/7
Let x = 13 + -7. Let j(d) = 2*d**5 + 5*d**4 + 3*d**3 - 5*d**2 - 5*d. Let z(m) = m**5 - m. Let i(a) = x*z(a) - j(a). Find r such that i(r) = 0.
-1, 0, 1/4, 1
Let x(l) be the first derivative of l**4/4 - 3*l**2/2 + 2*l - 6. Factor x(w).
(w - 1)**2*(w + 2)
Let w(d) be the second derivative of 1/9*d**3 - 1/18*d**4 + 5*d + 0 + 1/3*d**2 - 1/30*d**5. Factor w(k).
-2*(k - 1)*(k + 1)**2/3
Let p be (-1 + (-50)/(-45))*(-3)/(-1). Factor -1/3*d**2 + p*d**4 - 1/3*d + 1/3*d**3 + 0.
d*(d - 1)*(d + 1)**2/3
Let l(v) be the first derivative of 6*v**5/25 + v**4/2 - 4*v**3/15 + 20. Factor l(p).
2*p**2*(p + 2)*(3*p - 1)/5
Let q(b) be the third derivative of b**6/480 + b**5/60 - 29*b**2. Solve q(h) = 0.
-4, 0
Determine h, given that 4*h**2 + 7*h + 1 - 13 - 14*h + 15*h = 0.
-3, 1
Let g(z) be the second derivative of -z**7/105 + z**6/25 - z**5/25 - z**4/15 + z**3/5 - z**2/5 - 6*z. Factor g(x).
-2*(x - 1)**4*(x + 1)/5
Let h(v) = v**2 + 5*v - 15. Let n(j) = 4*j - 16. Let q(f) = -4*h(f) + 3*n(f). Factor q(a).
-4*(a - 1)*(a + 3)
Let k = 30 + -388/13. Let r(b) = b**2 - 8*b - 7. Let u be r(9). Suppose 0 + 0*x**u + 2/13*x**5 + 0*x + 0*x**3 - k*x**4 = 0. What is x?
0, 1
Let d(o) be the first derivative of o**6/1080 - o**4/72 + o**3 + 4. Let b(y) be the third derivative of d(y). Suppose b(a) = 0. What is a?
-1, 1
Let t = -169 - -517/3. Solve 0 - t*p**2 - 14/3*p**3 + 4/3*p = 0 for p.
-1, 0, 2/7
Let p be -1 + 0 + (-19)/(-30). Let l = p + 7/10. Suppose 0*g - l + 1/3*g**2 = 0. What is g?
-1, 1
Let u(q) be the third derivative of 0*q**3 + 0*q - 1/150*q**5 - 1/300*q**6 + 0 + 0*q**4 + q**2. Let u(c) = 0. Calculate c.
-1, 0
Find w such that 6/11*w**2 + 4/11*w + 0 - 8/11*w**5 + 30/11*w**4 - 32/11*w**3 = 0.
-1/4, 0, 1, 2
Let h be (2*1 - -1) + -1. Let k(a) = a**3 + 10*a**2 - 2*a - 17. Let w be k(-10). Factor m + h*m**2 - m**2 + w*m**3 + 5*m**4 + 2*m**2 - 4*m**4.
m*(m + 1)**3
Let i(a) be the second derivative of -a**7/63 - 2*a**6/45 + a**5/15 + 2*a**4/9 - a**3/9 - 2*a**2/3 - 3*a. Suppose i(y) = 0. What is y?
-2, -1, 1
Let t(h) be the third derivative of h**8/504 - h**6/60 - h**5/45 + 8*h**2. Factor t(s).
2*s**2*(s - 2)*(s + 1)**2/3
Let h(b) = 4*b**3 + 8*b**2 - 4*b - 4. Let j(c) = 4*c**3 + 9*c**2 - 3*c - 5. Let s(p) = 5*h(p) - 4*j(p). Factor s(d).
4*d*(d - 1)*(d + 2)
Suppose -3*f + 15 = 5*n, 5*n + 4*f - 7 = 8. Let l be (-65)/(-35) + n/21. What is t in 0 + 0*t + 0*t**l + 2/11*t**3 = 0?
0
Let i be 3/1 + 2 + -3. Let n be 6/(-16)*i/(-3). Find l, given that -n*l - 3/4*l**3 + 3/4*l**2 + 0 + 1/4*l**4 = 0.
0, 1
Factor 1/2*d**2 + 0*d + 0 - 1/6*d**3.
-d**2*(d - 3)/6
Let h(i) be the third derivative of 0*i**3 - 1/1176*i**8 + 0*i + 3*i**2 + 0 - 1/140*i**6 - 1/245*i**7 + 0*i**4 - 1/210*i**5. Suppose h(l) = 0. Calculate l.
-1, 0
Factor 12*n**4 + 13*n**3 - 5*n**2 + 13*n**2 + 7*n**3.
4*n**2*(n + 1)*(3*n + 2)
Let g(u) be the second derivative of 0*u**2 + 1/6*u**4 + 0*u**3 - 1/10*u**5 + 0 - 4*u - 2/15*u**6. Suppose g(m) = 0. Calculate m.
-1, 0, 1/2
Let m(o) be the first derivative of 8*o**6/3 + 24*o**5/5 + o**4/4 - 2*o**3 + o**2/2 + 2. Suppose m(d) = 0. Calculate d.
-1, 0, 1/4
Let s(j) = j**3 + 8*j**2 - j - 5. Let n be -10*3*(-12)/(-45). Let w be s(n). Factor 3/5*g**5 + 0*g - 6/5*g**4 + 0*g**w + 0*g**2 + 0.
3*g**4*(g - 2)/5
Let r = 38 + -38. Suppose r = 2*d - 6 + 2. Determine u, given that 4/7*u**d + 2/7*u**3 + 0*u + 0 = 0.
-2, 0
Let s(l) = 28*l**2 - 4*l + 4. Let o be s(2). Factor 112*y - o*y - 2*y**2 + 6*y**2 - 8.
4*(y - 1)*(y + 2)
Let q = 5 + 0. Suppose -q*s + 6 - 2 = -2*n, 5*s - 5*n + 5 = 0. Factor -2*x**3 + 0*x**s - x**2 + 3*x**3.
x**2*(x - 1)
Let l(k) = -k + 4. Let d be l(0). Let r(u) = -u**3 + 8*u**2 + 8*u + 13. Let w be r(9). Solve -w*c**4 - 2 - 16*c - 5 + 2*c**d + 3 - 11*c**3 - 21*c**2 = 0 for c.
-2, -1, -1/2
Factor -1/3*z - 1/6*z**2 - 1/6.
-(z + 1)**2/6
Let a be -7 - (-2 - (3 - -4)). Factor -3/5*p**a - 1/5*p + 2/5 + 1/5*p**4 + 1/5*p**3.
(p - 1)**2*(p + 1)*(p + 2)/5
Suppose 0 = 3*x + 12, -x + 0 - 4 = 4*l. Let l*k - 1/4*k**3 + 0 - 3/4*k**4 + 0*k**2 = 0. What is k?
-1/3, 0
Determine f, given that 24/5*f**2 - 48/5*f - 4/5*f**3 + 32/5 = 0.
2
Let u(v) be the second derivative of -3*v**6/10 + 3*v**5/10 + 3*v**4/4 - v**3 - 20*v. Factor u(s).
-3*s*(s - 1)*(s + 1)*(3*s - 2)
Let w = -98 + 35. Let f be (4 - 2) + w/36. Let 1/4*c**5 + 0 + 3/2*c**3 + f*c + c**2 + c**4 = 0. Calculate c.
-1, 0
Factor 27/4*r + 243/8 + 3/8*r**2.
3*(r + 9)**2/8
Let q(m) be the third derivative of 0 + 1/60*m**5 + 0*m**3 + 5*m**2 + 1/24*m**4 + 0*m. Determine j, given that q(j) = 0.
-1, 0
Let i(j) = -j**2 - j + 4. Let m be i(-2). Find w such that -5*w - 7*w + 18 - 2*w**2 + w**2 + 3*w**m = 0.
3
Let g be 2 + -2 + 4/2. Solve -3*x**4 + 26*x**3 + 12*x - 8*x**g - 11*x**3 - 16*x**2 = 0.
0, 1, 2
Let h be 6/1 - (-102)/(-34). Let y(d) be the third derivative of 0*d + 1/12*d**6 - 16/15*d**5 - 2*d**2 + 0 - 6*d**h + 19/4*d**4. Suppose y