(a). Solve j(u) = 0 for u.
0, 10
Let o(m) be the third derivative of 0*m**3 + 0*m**4 + 0*m**6 + 1/100*m**5 + 0*m - 1/350*m**7 + 0 + 9*m**2. Let o(a) = 0. What is a?
-1, 0, 1
Let g(t) be the first derivative of t**4/18 - 4*t**2/9 - 70. Factor g(x).
2*x*(x - 2)*(x + 2)/9
Let z(n) be the third derivative of n**7/1050 + 3*n**6/200 + n**5/20 + 7*n**4/120 - 5*n**2 + 45. Factor z(a).
a*(a + 1)**2*(a + 7)/5
Suppose 0 = -4*d + 4*z + 36, 2*d - 7*z + 2*z = 9. Suppose -5*b + d = -8. Let 3*g + g - 2*g**3 + 3*g**3 - b*g**2 = 0. What is g?
0, 2
Let p be 5/3 + -1 - (-98)/(-60). Let x = p + 33/10. Let 2/3 - x*b - 3*b**2 = 0. Calculate b.
-1, 2/9
Find r, given that 2/3*r + 16/3 - 1/6*r**4 - 4*r**2 - 11/6*r**3 = 0.
-8, -2, 1
Let w(h) be the third derivative of h**5/80 + 7*h**4/8 + 13*h**3/2 - h**2 + 83. Suppose w(b) = 0. Calculate b.
-26, -2
Let f be (-24)/15*(3/(-6) + (-6)/8). Factor 338/19 + 2/19*w**f - 52/19*w.
2*(w - 13)**2/19
Let m(p) be the third derivative of p**6/40 - 7*p**5/60 - 7*p**4/24 + p**3/2 - 110*p**2. Factor m(q).
(q - 3)*(q + 1)*(3*q - 1)
Let y(p) be the third derivative of 5*p**8/336 + p**7/7 + p**6/2 + 5*p**5/6 + 5*p**4/8 - 2*p**2 - 58. Solve y(r) = 0.
-3, -1, 0
Let u(t) be the third derivative of 0*t + 0*t**4 - 1/140*t**6 + 0*t**3 + 0*t**5 + 1/490*t**7 - 20*t**2 + 0. Factor u(v).
3*v**3*(v - 2)/7
Determine c, given that 8 + 2/7*c**3 - 48/7*c + 6/7*c**2 = 0.
-7, 2
Let x(i) be the second derivative of -1/20*i**5 + 0 + 1/12*i**4 + 0*i**2 - 1/30*i**6 + 0*i**3 + 1/42*i**7 + 5*i. Factor x(q).
q**2*(q - 1)**2*(q + 1)
Let y(p) be the first derivative of 2/9*p**3 + 18 + 0*p + 1/2*p**2. Factor y(f).
f*(2*f + 3)/3
Let u(c) be the second derivative of -c**7/77 + 8*c**6/165 - 5*c**4/33 + c**3/11 + 2*c**2/11 + 157*c. Find b, given that u(b) = 0.
-1, -1/3, 1, 2
Solve -9/2*v**2 - 1/2 - 3*v = 0.
-1/3
Suppose -f = 3*r + 3, 4*r = 2*f - r + 17. Let t be (-3 + (-17)/f*1)*-64. Suppose -2/9*n**3 - t*n**4 - 8*n**5 + 2/9*n - 2/9 + 26/9*n**2 = 0. Calculate n.
-1, -1/2, 1/3
Let q(t) = -7*t**4 - 46*t**3 - 85*t**2 + 168*t - 39. Let z(c) = c**4 + c**3 + 1. Let l(n) = -q(n) - 3*z(n). Factor l(b).
(b - 1)*(b + 6)**2*(4*b - 1)
Let i = 86 + -79. Find w such that -i*w**2 + 10*w + w**2 + 1 + 3 - 8*w**2 = 0.
-2/7, 1
Suppose -j - 3 - 5 = 4*k, -4*k = -4*j + 68. Factor 11*u**3 - 5 - 15*u**3 + j*u + 13.
-4*(u - 2)*(u + 1)**2
Let p = -40 + 44. Determine w, given that -3*w + 15*w + 15*w**3 - 6*w - 5*w - 7*w**2 - 9*w**p = 0.
0, 1/3, 1
Let t(o) be the first derivative of o**4/84 - o**3/42 + 10*o - 13. Let r(d) be the first derivative of t(d). Solve r(p) = 0 for p.
0, 1
Let o(w) be the first derivative of -9/5*w**5 + 0*w - w**2 + 17/8*w**4 - 4 + 0*w**3 + 5/12*w**6. Solve o(r) = 0 for r.
-2/5, 0, 1, 2
Let m(n) = n**2 - 6*n + 7. Let r be m(5). Solve -4*w**2 + 3*w**2 + r*w**3 - 5*w**2 = 0 for w.
0, 3
Let r(w) = w**2 + 2*w - 2. Let l(h) = -3*h**2 - 54*h + 159. Let d(n) = -l(n) - 6*r(n). Determine m so that d(m) = 0.
7
Suppose 10*y = 6*y - 256. Let r be y/(-14) - 48/84. Determine b, given that -12*b**4 - b - r*b**5 + 3*b**3 + 2*b**3 + 15*b**4 - 3*b**2 = 0.
-1, -1/4, 0, 1
Factor -5*m**4 - 601 + 15*m**2 + 42*m - 2*m + 15*m**2 + 616.
-5*(m - 3)*(m + 1)**3
What is h in 8*h**3 + 18*h**2 - 9*h**2 + 69*h**4 - 70*h**4 = 0?
-1, 0, 9
Let n be (-1512)/(-702) - 4/26. Let q = 119/2 - 58. Find d, given that 0*d**4 - 3/2*d**3 + 0*d + q*d**5 + 0 + 0*d**n = 0.
-1, 0, 1
Factor -1/5*s**4 - 162/5*s**2 + 108*s - 28/5*s**3 + 135.
-(s - 3)*(s + 1)*(s + 15)**2/5
Let y(t) = t**2 + t + 2. Let c(k) = 7*k**2 + 13*k + 14. Let z(o) = -c(o) + 4*y(o). Factor z(q).
-3*(q + 1)*(q + 2)
Let x(u) be the third derivative of -2/15*u**5 - 4/3*u**3 + 9*u**2 + 0 - 5/6*u**4 + 0*u. Determine w, given that x(w) = 0.
-2, -1/2
Let a(k) be the second derivative of -k**4/60 - k**3/6 + 3*k**2/5 - 4*k + 2. What is l in a(l) = 0?
-6, 1
Let k(a) be the first derivative of -3*a**4 + 17*a**3 - 24*a**2 + 9*a + 265. Determine p, given that k(p) = 0.
1/4, 1, 3
Let l(f) be the second derivative of f**7/42 + f**6/7 + 9*f**5/35 + 2*f**4/21 + 6*f + 2. Factor l(m).
m**2*(m + 2)**2*(7*m + 2)/7
Suppose 0 = -u + 32 - 15. Find k such that u*k - 12*k - 30 - k**2 + 6*k**2 = 0.
-3, 2
Suppose 0*v - 6 = -2*v - 3*k, 3*v - 4*k = 26. Let s(i) be the first derivative of 2*i**2 - 2/3*i**3 + 1 + v*i. Factor s(x).
-2*(x - 3)*(x + 1)
Factor 5/3*k**2 + 80/3 - 40/3*k.
5*(k - 4)**2/3
Let j(q) be the second derivative of q**5/15 + 7*q**4/6 - 31*q**2/2 + 24*q. Let f(o) be the first derivative of j(o). Factor f(t).
4*t*(t + 7)
Let -1/4*q + 1/2*q**2 + 1/4*q**3 - 1/2 = 0. Calculate q.
-2, -1, 1
Let c = -10947/115 + 2194/23. Factor 0*h + c*h**5 + 0*h**2 - 1/10*h**3 + 0 - 1/10*h**4.
h**3*(h - 1)*(2*h + 1)/10
Let g(h) be the second derivative of h**6/10 - 51*h**5/5 + 759*h**4/2 - 5290*h**3 - 36501*h**2/2 - h - 11. Suppose g(i) = 0. What is i?
-1, 23
Let y = -886 - -889. Let x(u) be the second derivative of 0 + 3*u - 1/28*u**4 + 3/7*u**2 - 1/14*u**y. What is d in x(d) = 0?
-2, 1
Let k(r) be the first derivative of r**7/840 - r**6/360 - r**5/60 - 22*r**3/3 - 19. Let s(z) be the third derivative of k(z). Factor s(v).
v*(v - 2)*(v + 1)
Let d(c) be the second derivative of -c**7/1995 + c**6/380 - c**5/285 + 7*c**2/2 - 2*c. Let u(o) be the first derivative of d(o). Factor u(a).
-2*a**2*(a - 2)*(a - 1)/19
Let y(q) be the third derivative of -q**8/784 + q**7/490 + q**6/35 - 2*q**5/35 - 2*q**4/7 + 8*q**3/7 - 378*q**2. Determine m so that y(m) = 0.
-2, 1, 2
Let f = 13/11 - 173/165. Let i(l) be the second derivative of 0 + f*l**3 - 2/5*l**2 - 1/60*l**4 + l. Suppose i(j) = 0. Calculate j.
2
Let g be 6/6 + 1 + 1 + (-23)/8. Factor g*o**3 + 0 + 0*o - 1/8*o**2.
o**2*(o - 1)/8
Let f be 2/6*(12 + -3). Let o(w) be the first derivative of 0*w + 1/2*w**2 - 8 - 2/3*w**f. Solve o(m) = 0 for m.
0, 1/2
Let x = 8 - 6. Suppose 4*l + 5 = 3*n, -4*l + x = -2. Factor -g**n - 5*g**2 - g**2 - g + 8*g**2 + 0*g**2.
-g*(g - 1)**2
Let b(v) be the first derivative of -v**4/10 - 4*v**3/15 + 5*v**2 + 20*v - 474. Factor b(x).
-2*(x - 5)*(x + 2)*(x + 5)/5
Let a(r) be the third derivative of -r**6/200 + r**5/50 - r**4/40 - 77*r**2. Let a(f) = 0. What is f?
0, 1
Let v(o) be the first derivative of o**3/4 + 3*o**2 + 21*o/4 - 14. Let v(b) = 0. What is b?
-7, -1
Determine u so that -108 + 242 + 111 + 5*u**2 + 70*u + 0*u**2 = 0.
-7
Suppose -w**3 - 63*w + 2*w**2 + 0 - 27 - 17*w**2 - 22 = 0. What is w?
-7, -1
Let a(s) be the second derivative of s**9/3780 - s**7/210 - s**6/90 - 2*s**4/3 - 17*s. Let d(r) be the third derivative of a(r). Factor d(k).
4*k*(k - 2)*(k + 1)**2
Let w(k) be the second derivative of 5*k**4/12 + 100*k**3/3 + 1000*k**2 - 77*k - 1. Find v, given that w(v) = 0.
-20
Let d(y) be the first derivative of 42/5*y**5 + 0*y - 10*y**4 + 21 + 0*y**2 + 8/3*y**3. Factor d(a).
2*a**2*(3*a - 2)*(7*a - 2)
Suppose 24*x - 24 = 72. Let n = 65 + -313/5. Determine u so that -n*u - 16/5*u**2 + 8/5 + 8/5*u**x + 12/5*u**3 = 0.
-2, -1, 1/2, 1
Let -20 - 2/3*d**2 + 34/3*d = 0. Calculate d.
2, 15
Find v such that -7*v**3 + v**2 - 7*v**2 + 2*v**4 - 19*v**3 - 72 - 47*v + 159*v - 10*v**3 = 0.
-2, 1, 18
Let t = 4299/2 + -2149. Factor -t*r**3 + 1/4*r**4 + 0*r**2 - 1/4 + 1/2*r.
(r - 1)**3*(r + 1)/4
Let d = 16 - 23. Let y(h) = h**2 + 8*h + 10. Let t be y(d). Let r**t + 0*r**2 + r**3 - 2*r - 2*r**2 + 0*r**2 + 2 = 0. Calculate r.
-1, 1
Let h(f) be the third derivative of 1/27*f**3 + 0*f**4 + 0*f - 1/270*f**5 + 0 - 9*f**2. What is a in h(a) = 0?
-1, 1
Let d(v) be the third derivative of 0 - 13*v**2 + 0*v**3 - 5/12*v**4 + 0*v - 1/4*v**5 + 1/42*v**7 + 0*v**6. Factor d(r).
5*r*(r - 2)*(r + 1)**2
Let f be (3/(-10))/((-684)/570). Factor 0 + f*c - 1/8*c**2.
-c*(c - 2)/8
Let m(d) be the second derivative of d**4/32 + 11*d**3/48 + 3*d**2/8 - 53*d. Factor m(j).
(j + 3)*(3*j + 2)/8
Let w(l) = 2*l**2 - 19*l - 6. Let d be w(10). Suppose 2*n + d = -2*r, -5*r = -2*r - n - 14. Factor 2/5*i**2 - 2/5 - 2/5*i + 2/5*i**r.
2*(i - 1)*(i + 1)**2/5
Let l be 1/(-1)*183/(-1281). Factor 1/7*q - 1/7*q**3 - 1/7*q**2 + l*q**4 + 0.
q*(q - 1)**2*(q + 1)/7
Let l(z) be the third derivative of 1/18*z**3 - 1/48*z**4 + 0*z - 21*z**2 - 1/360*z**5 + 1/240*z**6 - 1/1260*z**7 + 0. Suppose l(w) = 0. Calculate w.
-1, 1, 2
Suppose -44 - 29*r + r - 20*r - 14*r**2 + 10*r**2 = 0. Calcu