 2). Let f(o) be the third derivative of 0 + 0*o**3 + 1/48*o**t + 0*o + 0*o**5 - 3*o**2 - 1/240*o**6. Determine m so that f(m) = 0.
-1, 0, 1
Let s(d) be the third derivative of -1/20*d**5 + 0 + 0*d**4 - 2*d**2 + 0*d + 0*d**3. Factor s(i).
-3*i**2
Let f = -514 - -517. Find z such that 8/5*z**5 + 0 + 0*z**f + 0*z**2 + 0*z + 4/5*z**4 = 0.
-1/2, 0
Let o be 22/66*(-3)/(-10). Let q(t) be the first derivative of 0*t**4 + 0*t + 1/8*t**2 + 3 + o*t**5 - 1/6*t**3 - 1/24*t**6. Find c such that q(c) = 0.
-1, 0, 1
Factor -1/5*a**3 - 8/5*a - 4/5 - a**2.
-(a + 1)*(a + 2)**2/5
Let v be 2 - (4 - 3) - 1. Let r(q) be the third derivative of 1/24*q**4 + 2*q**2 - 1/3*q**3 + v*q + 0 + 1/60*q**5. Factor r(b).
(b - 1)*(b + 2)
Let w(m) be the third derivative of -m**5/330 + m**3/33 + 3*m**2. Factor w(d).
-2*(d - 1)*(d + 1)/11
Let l(m) be the second derivative of -1/9*m**2 - 4*m - 1/27*m**3 + 1/90*m**5 + 1/54*m**4 + 0. Solve l(n) = 0 for n.
-1, 1
Suppose -2*d - 4 = 0, -12*t + 8 = -7*t + d. Factor 7/2*q**t + 1/2*q**5 + q + 5/2*q**4 + 9/2*q**3 + 0.
q*(q + 1)**3*(q + 2)/2
Let h(t) = -t**2 - 4*t + 5. Let c be h(-4). Let v(l) be the third derivative of -1/90*l**c + 0*l**3 + 1/36*l**4 - 2*l**2 + 0 + 0*l. Let v(o) = 0. What is o?
0, 1
Let g be (-146)/(-30) - ((-2)/15 + 0). Solve 20/3*t**2 - 8*t**4 + 4/3 - 10/3*t**g + 6*t - 8/3*t**3 = 0.
-1, -2/5, 1
Factor -56/3*q - 10/3*q**3 + 1/3*q**4 + 32/3 + 12*q**2.
(q - 4)*(q - 2)**3/3
Let m(l) be the second derivative of -l**5/50 - l**4/6 + 2*l**3/5 + 36*l. Factor m(i).
-2*i*(i - 1)*(i + 6)/5
Let j(s) be the second derivative of s**4/4 - 3*s**2/2 - 5*s. Determine d, given that j(d) = 0.
-1, 1
Let i = 3 - 3. Suppose 7*l - 2*l = 0. Factor -2/5*u**3 + 0*u**2 + i + l*u + 2/5*u**4.
2*u**3*(u - 1)/5
Factor -5*c**2 - 6*c**2 - 13*c + 1 - 1 - 2.
-(c + 1)*(11*c + 2)
Let c = 242 + -8953/37. Let n = 32/185 + c. Solve -n*x**3 + 0*x**2 + 3/5*x - 2/5 = 0 for x.
-2, 1
Suppose 13*d = 6*d + 14. Let t(g) be the second derivative of 0*g**d + 2*g + 0*g**3 - 1/70*g**5 + 0*g**4 + 0. Factor t(i).
-2*i**3/7
Let c = -16 + 27. Suppose c = -5*i + 21. Factor 0 - 1/4*a**3 + 1/4*a + 0*a**i.
-a*(a - 1)*(a + 1)/4
Let h(d) be the third derivative of -1/1080*d**6 + 1/6*d**3 - 2*d**2 + 0*d - 1/72*d**4 + 0 + 1/180*d**5. Let t(s) be the first derivative of h(s). Factor t(n).
-(n - 1)**2/3
Factor -2/9*w**2 + 2/3 + 4/9*w.
-2*(w - 3)*(w + 1)/9
Let o = -1/12 - -11/4. Factor -8/3*y**4 - o*y**2 - 2/3*y + 0 - 4*y**3 - 2/3*y**5.
-2*y*(y + 1)**4/3
Let b(k) be the first derivative of 4*k**5/5 + 3*k**4 + 4*k**3 + 2*k**2 - 16. Factor b(m).
4*m*(m + 1)**3
Let m = -115 - -23. Let r be (m/45 - -2)*-20. Factor 2/9*l**2 + r - 8/9*l.
2*(l - 2)**2/9
Let -6/7*p**3 + 3*p**4 + 0*p**2 + 0 + 0*p + 27/7*p**5 = 0. Calculate p.
-1, 0, 2/9
Let m(s) be the first derivative of 2*s + 7/8*s**4 - 4/3*s**3 - 1 - 9/40*s**5 + s**2. Let a(w) be the first derivative of m(w). Determine r so that a(r) = 0.
2/3, 1
Let c be 5/1 + (-1)/1. Let h(b) = -b**3 + 4*b**2 + 2. Let u be h(c). Factor 3*x**3 - x**2 + 3*x**u + 3*x**3 - 6*x - 2.
2*(x - 1)*(x + 1)*(3*x + 1)
Suppose 4 = 2*b - 10. Let -b*i**4 + 7*i**3 + 2*i - 7*i**2 + 2*i**4 + 2*i**3 + i**5 = 0. Calculate i.
0, 1, 2
Let x(d) be the third derivative of -d**6/600 + d**5/300 + d**4/10 + 24*d**2 + 2. Suppose x(u) = 0. What is u?
-3, 0, 4
Let d(n) = -n**4 + n + 1. Let j(l) = 4*l + 16*l**4 - 4*l**4 + 17*l**3 - 5 + 12*l**2 + 9*l**2. Let v(r) = 14*d(r) + 2*j(r). Factor v(z).
2*(z + 1)**3*(5*z + 2)
Let d(a) be the third derivative of a**7/840 - a**6/120 + a**5/40 - a**4/24 - a**3/6 - 2*a**2. Let g(i) be the first derivative of d(i). Factor g(x).
(x - 1)**3
Factor 75/4*u**2 - 39/8*u**3 - 3 - 33/2*u.
-3*(u - 2)**2*(13*u + 2)/8
Find r, given that 5 - 31*r**3 + 15 - 21*r**3 + 17*r**3 + 80*r + 25*r**2 = 0.
-1, -2/7, 2
Let y(u) be the third derivative of u**8/336 + u**7/70 + u**6/60 + 2*u**2 - 6. Solve y(i) = 0.
-2, -1, 0
Suppose -3*t = 3*p - 6, 0 = 2*p + 3*t - 3 - 0. Suppose -y**p + 39*y**4 - 39*y**4 + y - y**3 + y**5 = 0. What is y?
-1, 0, 1
Let v = -15 - -15. Let k be v/((-3)/(-1)) - -3. Factor 1/5*z**4 + 0 + 1/5*z - 1/5*z**2 - 1/5*z**k.
z*(z - 1)**2*(z + 1)/5
Let f(l) be the third derivative of -l**6/360 - l**5/45 - l**4/72 + l**3/3 - 10*l**2. Suppose f(j) = 0. Calculate j.
-3, -2, 1
Let o = -1 + 5. Suppose d = o*d. What is l in l**2 + d + l**3 + 1/3*l**4 + 1/3*l = 0?
-1, 0
Let p = -2 + 9. Let m(q) be the third derivative of 13/96*q**4 + 0*q + 23/480*q**6 - 9/80*q**5 - 1/120*q**p - 1/12*q**3 - 2*q**2 + 0. Find k such that m(k) = 0.
2/7, 1
Solve -8/5*l**5 - 2/5*l**4 + 24/5*l**3 + 22/5*l**2 + 0 + 4/5*l = 0.
-1, -1/4, 0, 2
Let g(k) = k**2 + 16*k + 17. Let o be g(-1). Suppose -3/2*r**o + 0 + 0*r = 0. Calculate r.
0
Suppose -w = 5*d - 2 - 5, -3*d = 2*w - 7. Let s(a) be the first derivative of 1/3*a**3 + 1/2*a**w - 1 + 0*a. Factor s(p).
p*(p + 1)
Let h(d) be the first derivative of -1/12*d**4 - 1/2*d**3 + d + 1 - d**2. Let t(q) be the first derivative of h(q). Factor t(l).
-(l + 1)*(l + 2)
Let q(b) = -b**2 - 4*b - 3. Let w be q(-2). Factor -4*l + w - 13 + 20*l**2 + 16*l**3 - 2*l - 2*l.
4*(l + 1)**2*(4*l - 3)
Let s be ((-48)/112)/((-2)/14). Let 0*h + 1/3*h**2 + 1/3*h**4 + 0 - 2/3*h**s = 0. Calculate h.
0, 1
Let m(k) be the second derivative of -k**4/3 - k**3/6 - 4*k. Factor m(i).
-i*(4*i + 1)
Suppose 6*j = 2*j + 16. What is g in -34*g**4 - 4*g**3 - 5*g**3 - 3*g**5 + 25*g**j - 3*g**2 = 0?
-1, 0
Let w(b) be the second derivative of -4*b - 1/24*b**3 + 0*b**2 + 1/48*b**4 + 0. Solve w(a) = 0.
0, 1
Let l(u) be the first derivative of -u**3 + 3*u**2/2 + 9. Determine g, given that l(g) = 0.
0, 1
Find x, given that -9*x**4 + 6*x**2 - 4*x + 2*x + 3 - 7*x + 3*x**5 + 6*x**3 = 0.
-1, 1
Let c(i) = 2*i**2 - 4*i - 92. Let x be c(-6). Find u, given that 0*u**2 + 1/2*u**x + u**3 - 1/2 - u = 0.
-1, 1
Let i(t) be the second derivative of -t**7/3780 + t**6/1080 + t**5/90 - 5*t**4/12 - 7*t. Let d(g) be the third derivative of i(g). What is h in d(h) = 0?
-1, 2
Let y(b) be the second derivative of 2*b**6/15 - 6*b**5 + 100*b**4 - 2000*b**3/3 + 45*b. Let y(k) = 0. Calculate k.
0, 10
Suppose 0 = 3*s + l - 13, 5*s + 0*l = 3*l + 45. Suppose -5 + 15 = -2*y - 5*d, -s = -3*y + 3*d. Factor 2/7*p**2 + y*p - 2/7.
2*(p - 1)*(p + 1)/7
Factor -36*t**3 + 45*t + 24*t**2 + 24*t + 32 + 11*t.
-4*(t - 2)*(3*t + 2)**2
Let g(m) be the second derivative of m**5/5 - 2*m**4/3 + 38*m. Factor g(x).
4*x**2*(x - 2)
Let t be (-2)/8 + (-4)/(-16). Factor t - 1/6*w**3 + 0*w + 1/6*w**2.
-w**2*(w - 1)/6
Let t be 2/(-18)*3*(-1 - -1). Solve 0 + 1/3*c**3 + 0*c**2 + t*c = 0.
0
Let c(x) = -17*x**3 - 25*x**2 - 12*x - 17. Let n(j) = -4*j**3 - 6*j**2 - 3*j - 4. Let y(u) = -6*c(u) + 26*n(u). What is b in y(b) = 0?
-1
Factor 10*i + 45*i**3 + 22*i**4 + i**4 + 4*i**2 + 31*i**2 + 5*i**5 + 2*i**4.
5*i*(i + 1)**3*(i + 2)
Let x be (74/(-1))/(1 + -3). Factor x*k**4 + 198*k**3 + 157*k**2 + 44*k**4 + 4 + 0 + 44*k.
(k + 1)**2*(9*k + 2)**2
Let w(v) be the first derivative of 3*v**4/4 - 10*v**3 + 48*v**2 - 96*v - 35. Factor w(m).
3*(m - 4)**2*(m - 2)
Let u(t) = t**3 - t**2 - t + 2. Let b be u(0). Factor b*d**3 - 1 - 6*d + 1 - 4.
2*(d - 2)*(d + 1)**2
Suppose j - 2 = -r - j, 4*j - 4 = 5*r. Factor -4/5*z - 2/5*z**2 + r.
-2*z*(z + 2)/5
Let n(v) be the third derivative of v**6/360 - v**5/45 + 5*v**4/72 - v**3/9 - 4*v**2. Factor n(c).
(c - 2)*(c - 1)**2/3
Factor -1/3*q**5 + 1/3*q**3 + 0 - 1/3*q**2 + 1/3*q**4 + 0*q.
-q**2*(q - 1)**2*(q + 1)/3
Let y(s) be the first derivative of -s**6/1440 + s**4/96 + s**3 - 3. Let a(u) be the third derivative of y(u). Factor a(n).
-(n - 1)*(n + 1)/4
Let b = 17 - 13. Determine y, given that -2*y + 2*y**2 - 4*y**2 + b*y**2 = 0.
0, 1
Factor 0 + 1/2*b + 1/2*b**2.
b*(b + 1)/2
Let d(n) = -4*n**3 - 4*n**2 - 3*n - 5. Let s(r) = -r**3 - 1. Let x(p) = -d(p) + 3*s(p). Let o be x(-3). Solve -1 + 2*b**o + 1 - 4 - 2*b = 0.
-1, 2
Let o = 12 - 10. Suppose q - 4 = -2. Find f such that 5*f**2 - 3*f**o + f - 3*f**q = 0.
0, 1
Let y = 20 + -12. Let g(q) be the third derivative of -7/120*q**6 + 0 + 0*q**3 + 0*q**4 - 2*q**2 + 0*q - 1/112*q**y - 1/30*q**5 - 4/105*q**7. Factor g(n).
-n**2*(n + 1)**2*(3*n + 2)
Let h = -28 - -31. Determine d so that 0 + 1/2*d**h - 1/4*d**4 - 1/4*d**2 + 0*d = 0.
0, 1
Let z(m) = m**3 + 6*m**2 - 2*m - 8. Let r be z(-6). Factor