5. Let m(l) be the second derivative of k(l). Factor m(a).
(a - 1)**4
Let s(o) = o**2 - o - 3. Let z be s(3). What is r in -6*r**4 - z + 7 - 10*r**3 + 0*r**2 + 2*r**2 - r + 11*r = 0?
-1, -2/3, 1
Let -24/17*s - 2/17*s**4 - 26/17*s**2 - 12/17*s**3 - 8/17 = 0. What is s?
-2, -1
Let b(c) be the third derivative of -c**7/1260 - 7*c**6/1080 - 7*c**5/360 - c**4/36 - c**3/3 - 3*c**2. Let q(w) be the first derivative of b(w). Factor q(m).
-(m + 1)*(m + 2)*(2*m + 1)/3
Let i(v) be the second derivative of -v**6/180 + v**4/36 + v**2/2 - 2*v. Let r(b) be the first derivative of i(b). Factor r(k).
-2*k*(k - 1)*(k + 1)/3
Suppose -4*d - 1 = 47. Let l = 2 - d. Find f such that 1 - 3 + l*f**3 - 4*f**2 + 2 = 0.
0, 2/7
Let b = 1/37806 + -10888151/869538. Let s = b + 3567/92. Solve -18*a + 3 + s*a**2 = 0.
2/7, 2/5
Let w(u) = -u + 3. Let g be w(0). Find l, given that -4*l**3 + l**3 + l**5 + 2*l**g = 0.
-1, 0, 1
Let c(n) be the second derivative of 1/30*n**5 + 1/27*n**3 + 1/15*n**6 + 0 - 5*n - 5/54*n**4 + 0*n**2. Find y such that c(y) = 0.
-1, 0, 1/3
Let k(q) be the second derivative of 3*q**5/80 - 9*q**4/16 + 27*q**3/8 - 81*q**2/8 - q. Find r such that k(r) = 0.
3
Let c be (-20 - -20)*(-1 + 0). Let w(p) be the third derivative of 0*p + c + 1/18*p**4 + 1/9*p**3 + 2*p**2 + 1/90*p**5. Factor w(k).
2*(k + 1)**2/3
Let x(v) = v**3 - v**2 + v + 1. Let z(f) = -10*f**3 + 6*f**2 - 3*f - 15. Let l(m) = -22*x(m) - 2*z(m). Suppose l(d) = 0. Calculate d.
1, 2
Let r(x) = 2*x + 7. Let m be r(-2). Let l(y) be the second derivative of -1/5*y**5 + 0 - 1/15*y**6 + 2/3*y**3 + 0*y**2 + 1/6*y**4 - m*y. Factor l(z).
-2*z*(z - 1)*(z + 1)*(z + 2)
Let l = -23 + 14. Let i = -6 - l. Determine p, given that -i*p**2 - 3*p + p**2 - 2 - p = 0.
-1
Let v(b) be the second derivative of -b**5/30 + b**4/6 + 4*b**3/9 - 16*b. Factor v(y).
-2*y*(y - 4)*(y + 1)/3
Let v(w) be the second derivative of 0*w**2 + 1/168*w**7 + 0*w**3 + 1/20*w**6 + 1/6*w**4 + 3/20*w**5 - 2*w + 0. Factor v(q).
q**2*(q + 2)**3/4
Let u be 10/(-2) + 9/((-54)/(-32)). Let 8/3*y - 5/3*y**2 + u*y**3 - 4/3 = 0. Calculate y.
1, 2
Suppose -4*y = -o - 17, 0 = -3*o - y + 3*y - 1. Factor -c**2 - c**2 + o*c**2.
c**2
Let i(n) be the first derivative of n**8/560 - n**7/210 + n**6/600 + n**5/300 - 3*n**2/2 + 4. Let o(v) be the second derivative of i(v). Factor o(b).
b**2*(b - 1)**2*(3*b + 1)/5
What is l in -25 + 3*l**2 + 6*l + 7 + l - 4*l = 0?
-3, 2
Let z be 45/30*4/(-39). Let s = 17/26 + z. Factor -1/4*o**2 - s - 3/4*o.
-(o + 1)*(o + 2)/4
Let s(t) be the first derivative of t**8/504 + 2*t**7/315 + t**6/180 - t**2/2 - 1. Let k(f) be the second derivative of s(f). Solve k(a) = 0 for a.
-1, 0
Let z = -196 + 200. Factor -5/9*d**3 + 0 + 1/3*d**z + 1/9*d + 1/9*d**2.
d*(d - 1)**2*(3*d + 1)/9
Suppose -36/5*c**2 - 20*c + 24/5 = 0. Calculate c.
-3, 2/9
Let w = 53 + -45. Let i(s) be the first derivative of -10/3*s**3 + 3 + 8*s - w*s**2. Determine a so that i(a) = 0.
-2, 2/5
Factor -2/3*y**4 + 0 + 2/3*y**2 + 1/3*y**5 + 0*y**3 - 1/3*y.
y*(y - 1)**3*(y + 1)/3
Let h(i) be the second derivative of -i**7/10080 + i**6/2880 + i**5/240 - i**4/12 - 3*i. Let s(m) be the third derivative of h(m). Solve s(d) = 0.
-1, 2
Suppose -2*y + 5*y = 15. Suppose n = y*n. Factor -1/4*l**3 + n + 1/4*l + 0*l**2.
-l*(l - 1)*(l + 1)/4
Let d(j) be the second derivative of -j**5/120 - j**4/24 - j**3/12 + 3*j**2/2 - 3*j. Let b(l) be the first derivative of d(l). Determine z, given that b(z) = 0.
-1
Let x(k) be the first derivative of -4*k**3/3 - 4*k**2 + 12*k + 10. Determine f so that x(f) = 0.
-3, 1
Let w(r) = r**3 + r**2. Let g(n) = -4*n**4 + 5*n**3 + n**2. Let q(y) = -g(y) + w(y). Factor q(j).
4*j**3*(j - 1)
Let n(h) be the second derivative of 3*h**4/8 - h**3/2 - 3*h**2/4 + 6*h. Factor n(y).
3*(y - 1)*(3*y + 1)/2
Suppose 0*v + v - 2 = 0. Let r be (-8)/3 + (106 - 102). Suppose -2/3 - 2/3*q**v + r*q = 0. What is q?
1
Determine o so that 1/6*o - 1/3*o**3 + 1/6*o**5 + 1/3*o**4 - 2/3*o**2 + 1/3 = 0.
-2, -1, 1
Factor 0 - 3/2*d**2 - 2*d + 1/4*d**4 + 3/4*d**3.
d*(d - 2)*(d + 1)*(d + 4)/4
Let k(x) be the second derivative of 3*x**5/20 + x**4 + 5*x**3/2 + 3*x**2 + 4*x. Factor k(q).
3*(q + 1)**2*(q + 2)
Let f(a) be the second derivative of 7/9*a**3 + 1/6*a**4 - 7/30*a**5 + 0 - 3*a + 2/3*a**2 - 1/9*a**6. Let f(g) = 0. Calculate g.
-1, -2/5, 1
Let o(c) be the third derivative of c**5/105 - c**4/21 + 2*c**3/21 + 3*c**2 + 2*c. Let o(j) = 0. What is j?
1
Determine y so that 1/3*y**3 + 2/3*y + 0 - y**2 = 0.
0, 1, 2
Suppose -1 = -b + 1. Suppose 0*g = -q + 2*g - 1, 0 = 2*q - b*g - 4. Let -2*x**3 - 5*x + q*x + 2*x**4 - 4*x**2 = 0. What is x?
-1, 0, 2
Let l(u) = 12*u**3 + 16*u**2 + 22*u. Let n(h) = h**3 + h**2 + h. Let b(m) = -2*l(m) + 36*n(m). Factor b(o).
4*o*(o + 1)*(3*o - 2)
Let o = 3/20 - 31/240. Let h(b) be the third derivative of 1/60*b**5 + 0*b**3 + o*b**4 + 1/240*b**6 + 2*b**2 + 0*b + 0. Let h(x) = 0. Calculate x.
-1, 0
Let i = -233 - -233. Factor 5/3*j**3 - j**4 - 2/3*j**2 + i + 0*j.
-j**2*(j - 1)*(3*j - 2)/3
Let o = 18 + -15. Let g(r) be the second derivative of 1/4*r**4 - 3/2*r**o + 0 - 2*r + 3*r**2. Factor g(z).
3*(z - 2)*(z - 1)
Let y(p) be the first derivative of p**4/2 + 2*p**3/3 - 2*p**2 + 6. Factor y(c).
2*c*(c - 1)*(c + 2)
Suppose -2*t - 70 = -70. Factor 0*q**2 + 0*q**4 + t*q + 0 + 0*q**3 - 1/3*q**5.
-q**5/3
Let m(l) be the second derivative of l**6/6 - 3*l**5/4 + 5*l**4/4 - 5*l**3/6 + 9*l. Find p, given that m(p) = 0.
0, 1
Let w(d) be the first derivative of d**5/60 + d**4/18 + d**3/18 + 5*d - 3. Let t(h) be the first derivative of w(h). Solve t(u) = 0 for u.
-1, 0
Let i = 84 + -250/3. Factor -i*y + 0 - 2*y**3 + 2/3*y**4 + 2*y**2.
2*y*(y - 1)**3/3
Let p(a) be the second derivative of -a**6/20 + a**5/30 + a**3/2 + 4*a. Let z(i) be the second derivative of p(i). Factor z(t).
-2*t*(9*t - 2)
Let x be (48/(-10) + 4)*-5. Let d(g) be the first derivative of 0*g**2 - 4/15*g**3 + 0*g + 1/10*g**x - 3 + 2/25*g**5. Factor d(u).
2*u**2*(u - 1)*(u + 2)/5
Factor 2/3*h**3 - 4/3 + 4/3*h**2 - 2/3*h.
2*(h - 1)*(h + 1)*(h + 2)/3
Let v(u) be the first derivative of -u**4/12 - u**3/6 + u - 3. Let h(j) be the first derivative of v(j). What is o in h(o) = 0?
-1, 0
Let w(m) be the third derivative of m**8/840 - m**7/175 + m**6/100 - m**5/150 + 14*m**2. Factor w(p).
2*p**2*(p - 1)**3/5
Let g(x) be the second derivative of -x**6/39 - 11*x**5/65 - 11*x**4/26 - 20*x**3/39 - 4*x**2/13 + 2*x. Solve g(s) = 0 for s.
-2, -1, -2/5
Let v be (2/(-9))/(5/(-45)). Determine a, given that -3/4 + 3/4*a**v + 3*a - 3*a**3 = 0.
-1, 1/4, 1
Let k(s) = -2*s**2 + 3*s. Let n be k(2). Let a be n/12 - (-25)/6. Factor -a*w**2 - 1 + 5 - 2*w**3 + 0 + 2*w.
-2*(w - 1)*(w + 1)*(w + 2)
Let m = -3 - -5. Suppose 10 = -m*j + 3*j + 4*u, -2*u - 6 = -5*j. Factor -4/3 + a**3 - 11/3*a**j + 4*a.
(a - 2)*(a - 1)*(3*a - 2)/3
Let g be (2 + 2)*3/6. Let o be (-4)/((-10)/3 + g). Find r, given that 5/3*r + r**o + 7/3*r**2 + 1/3 = 0.
-1, -1/3
Let b = 5 + -3. Factor -6*w**3 + 0*w**2 - w**2 + 3*w**2 + 2*w**4 + b*w**3.
2*w**2*(w - 1)**2
Suppose a = -0*a + 10. Let c be a/3 + 6/(-2). Let -1/3*j**5 - 4/3*j**2 - 2*j**3 - c*j - 4/3*j**4 + 0 = 0. What is j?
-1, 0
Suppose -5 = 5*f, 5*i = f - 0*f - 39. Let x(u) = 3*u**2 - 5*u. Let l(b) = -2*b**2 + 3*b. Let c(p) = i*l(p) - 5*x(p). Solve c(r) = 0.
-1, 0
Let i be (-2)/(-11) - 26/22. Let h(j) = 9*j**2 + 3 + 1 - 12*j - 3*j**2. Let o(n) = -n**2 + n + 1. Let f(w) = i*h(w) - 4*o(w). Let f(t) = 0. What is t?
2
Let h be (-2)/7 - (-2)/(-28)*-4. Suppose -1/2*x**3 - 1/2*x**4 + 0*x + h*x**2 + 0 = 0. What is x?
-1, 0
Let a(b) = -3*b**2 + b - 3. Let f(w) be the first derivative of 10*w - 3 + 10/3*w**3 - 2*w**2. Let o(r) = -16*a(r) - 5*f(r). Solve o(z) = 0 for z.
1
What is o in 2/7*o**3 + 0 - 2/7*o + 0*o**2 = 0?
-1, 0, 1
Let f(k) be the third derivative of -k**8/1176 - k**7/735 + k**6/140 + k**5/210 - k**4/42 - 15*k**2. Let f(q) = 0. What is q?
-2, -1, 0, 1
Factor 8/9*t**3 + 0 + 4/9*t - 2/9*t**4 - 10/9*t**2.
-2*t*(t - 2)*(t - 1)**2/9
Let z(x) = -8*x**3 - 36*x**2 + 96*x - 120. Let g(a) = -a**3 - a - 1. Let m(n) = -12*g(n) + z(n). Suppose m(t) = 0. What is t?
3
Let b(p) be the third derivative of -7/12*p**4 + 0*p + 2/3*p**3 - 1/48*p**6 + 11/60*p**5 - 4*p**2 + 0. Factor b(m).
-(m - 2)**2*(5*m - 2)/2
Let p(q) be the second derivative of