(a) - 2*k(a). Solve l(p) = 0.
-3, -1, 15
Suppose 0*w = -5*w - 0*w. Let i(p) be the third derivative of w*p + 0*p**4 + 1/3*p**3 - 5*p**2 - 1/15*p**5 + 1/105*p**7 + 0 + 0*p**6. Factor i(j).
2*(j - 1)**2*(j + 1)**2
Let j(d) be the third derivative of d**7/210 - d**5/60 - d**2 - 1. Factor j(p).
p**2*(p - 1)*(p + 1)
Let f(b) be the third derivative of -b**7/1260 + b**6/180 - b**5/60 + b**4/8 + 6*b**2. Let i(s) be the second derivative of f(s). Solve i(l) = 0 for l.
1
Let z(h) = 14*h**4 + 17*h**3 - 28*h**2 - 48*h - 7. Let b(n) = -13*n**4 - 16*n**3 + 29*n**2 + 48*n + 8. Let g(d) = 5*b(d) + 4*z(d). Find t, given that g(t) = 0.
-2, -1, -1/3, 2
Let v(s) be the third derivative of 12*s**3 + s**4 + 0 + 30*s**2 + 0*s + 1/30*s**5. Determine a so that v(a) = 0.
-6
Suppose -4*g = 7*h - 8*h + 24, 4*h + 5*g = 12. Suppose 0 = -4*a - 5*o - h, 0*a + 4 = 4*a + 2*o. Factor 6/5*p**a - 3/5*p - 6/5*p**2 - 3/5*p**5 + 3/5 + 3/5*p**4.
-3*(p - 1)**3*(p + 1)**2/5
Let a(x) = x**3 - 9*x**2 + 7*x + 10. Let u be a(8). Factor -7*j**4 - 24*j - j**4 + u*j**4 + j**2 + 7*j**4 + 16 + 6*j**3.
(j - 1)**2*(j + 4)**2
Let x(y) be the second derivative of y**5/15 + y**4/6 + y**3/6 + 6*y**2 + y. Let j(r) be the first derivative of x(r). Factor j(f).
(2*f + 1)**2
Let k = 1/84 - -26/21. Suppose 2 = 2*d + j, 4*j + 3 - 2 = -5*d. Find l, given that 7/4*l + 9/4*l**2 + 1/4*l**4 + 1/2 + k*l**d = 0.
-2, -1
Let h be (((-11)/33)/(2/822))/(-5). Let a = 139/5 - h. Factor -a*x**2 + 0*x + 2/5*x**3 + 0.
2*x**2*(x - 1)/5
Suppose h + 4*f - 10 = 0, 5*h + 0 - 12 = -f. Let g be (h + 2)*1/2. Factor v**4 + g*v**2 + v**3 - 3*v**2 + v - 2*v.
v*(v - 1)*(v + 1)**2
Let p be ((-2)/(-5))/(5/(-50)*-6). Let -4/15 - 2/15*v**3 - p*v - 8/15*v**2 = 0. What is v?
-2, -1
Let q(a) = a**3 - a**2. Let i(t) = 10*t**3 - 36*t**2 - 12*t - 2. Suppose -4*j + 18 = 5*j. Let r(z) = j*i(z) - 36*q(z). Factor r(f).
-4*(f + 1)**2*(4*f + 1)
Let q be 2/5 - 65/(-25). Determine i, given that -12*i + 50*i - 15*i**2 - 5*i**q + 15*i**4 - 28*i - 5*i**5 = 0.
-1, 0, 1, 2
Let q be 22 - ((-391)/153 - -19). Factor -20/9*r - 2/9 - q*r**2.
-2*(5*r + 1)**2/9
Suppose 2*k - 6 = -3*h, k - 4*h + 0 = 3. Let m = 2 - 0. Solve -2*x**2 + 3*x**4 + k*x - 2*x**4 - 5*x**4 - 7*x**3 - m*x = 0 for x.
-1, 0, 1/4
Let d = 25 + -35. Let u(f) = f**2 + 8*f - 16. Let z be u(d). Solve p**3 + z - 6*p + 2*p**3 - p**3 = 0 for p.
-2, 1
Suppose -22*t = -21*t + 5*v - 19, -5*t - 4*v = -32. Let q(l) be the first derivative of 1/2*l**t + 0*l**3 + 0*l**2 - 2/5*l**5 + 0*l + 8. Factor q(f).
-2*f**3*(f - 1)
Let g = -21 + 14. Let r be 4 + (308/12)/g. Factor -9*d**2 + 3*d - r + 9*d**3.
(3*d - 1)**3/3
Let y be (((-14)/294)/(9/(-108)))/((-6)/(-7)). Factor 2 + y*g**2 - 8/3*g.
2*(g - 3)*(g - 1)/3
Let g be (18 - 20)*(-5)/2. Let 5*n**3 + 16*n**2 + 12*n - 39 - 4*n**3 - 33 - g*n**3 = 0. What is n?
-2, 3
Let f(d) = d**3 - d**2. Let o(t) = 10*t**3 - 50*t**2 + 25*t + 15. Let r = 35 - 34. Let n(w) = r*o(w) + 5*f(w). Find z, given that n(z) = 0.
-1/3, 1, 3
Suppose 2*n = -2*n. Let d be (5/(-20))/(77/(-88)). Factor 2/7*c**2 + d*c + n.
2*c*(c + 1)/7
Let q(o) = 8*o**2 - 80*o + 323. Let b(d) be the first derivative of -17*d**3/3 + 80*d**2 - 647*d + 25. Let s(t) = -3*b(t) - 7*q(t). Find g, given that s(g) = 0.
8
Let n be ((-16)/(-6))/((-22)/(-33)). Let b(p) be the second derivative of -1/5*p**2 + 0*p**3 + 0 + n*p + 1/30*p**4. Let b(c) = 0. What is c?
-1, 1
Let x(d) be the third derivative of d**6/1440 + d**5/120 - 5*d**4/96 - 9*d**3/2 + 23*d**2. Let o(u) be the first derivative of x(u). Factor o(b).
(b - 1)*(b + 5)/4
Let t be (-64)/(-48) + (-1)/(-6). Factor -3/4*o**2 - 3/4*o**3 + t*o + 0.
-3*o*(o - 1)*(o + 2)/4
Let f(g) = g + 11. Let m be f(-7). Suppose -m*o + 7 = -5. Factor -14/9*u**2 - 4/9*u - 8/9*u**o + 2/9.
-2*(u + 1)**2*(4*u - 1)/9
Let t(z) be the second derivative of z**7/63 + 7*z**6/15 + 49*z**5/10 + 343*z**4/18 - 286*z + 1. Factor t(a).
2*a**2*(a + 7)**3/3
Let -4*v**4 - 36*v**2 - 21*v**3 + 0 - 1/4*v**5 + 0*v = 0. Calculate v.
-6, -4, 0
Let p = 38000 + -227999/6. Let o be (-1)/2 + 5/6. Factor -p*l - 1/6*l**2 + o.
-(l - 1)*(l + 2)/6
Let s(d) be the second derivative of d**6/90 - 9*d**5/5 + 243*d**4/2 - 4374*d**3 + 177147*d**2/2 + 94*d - 2. Determine i so that s(i) = 0.
27
Factor 5/3*w**4 - 10/3*w - 20/3*w**3 + 0 + 25/3*w**2.
5*w*(w - 2)*(w - 1)**2/3
Let i(o) = 15*o**2 - 10*o - 12. Let a(t) = -5*t**2 + 3*t + 4. Let c(p) = 11*a(p) + 4*i(p). Let b(l) = 2*l**2 - 2*l - 1. Let x(g) = 8*b(g) - 3*c(g). Factor x(q).
(q + 1)*(q + 4)
Let o(s) be the second derivative of 2*s**7/189 - 4*s**6/45 + 2*s**5/9 - 22*s**3/27 + 4*s**2/3 + s + 97. Determine p so that o(p) = 0.
-1, 1, 2, 3
Let y(r) be the second derivative of 5*r**4/48 + 115*r**3/24 + 55*r**2/4 + 72*r. Determine f so that y(f) = 0.
-22, -1
Let d(v) be the second derivative of 1/5*v**5 + 0*v**2 + 0*v**3 + 0*v**4 - 5/21*v**7 + 0 - 1/5*v**6 + 7*v. Solve d(j) = 0.
-1, 0, 2/5
Let x(h) = -3*h**3 - 2*h**2 + 4*h + 4. Let p be x(2). Let i be 36/24*(p/(-6) + -2). Factor -6/5*l**i + 2/5*l**4 + 2*l - 4/5 - 2/5*l**3.
2*(l - 1)**3*(l + 2)/5
Let k = -220 + 220. Let w(l) be the first derivative of -2/5*l**5 - 4/15*l**6 + 0*l**2 + k*l + 0*l**3 + 5 - 1/10*l**4. Let w(p) = 0. What is p?
-1, -1/4, 0
Let m be -27 - (10438/(-255) - -13). Factor -2/15*g**2 - 4/5 + m*g.
-2*(g - 6)*(g - 1)/15
Let h(c) = -5*c**2 - 9*c + 32. Let p be h(5). Let f = -120 - p. Factor -1/3*q**4 - f*q - 9 - 12*q**2 - 10/3*q**3.
-(q + 1)*(q + 3)**3/3
Suppose -13*l = 5*v - 41, 8*v - 10*v = -3*l. Suppose 12/13*j**v - 16/13*j**2 + 18/13*j**4 - 2/13 - 12/13*j = 0. What is j?
-1, -1/3, 1
Suppose 2*n - 5*o = -10*o - 4, 0 = 3*n - 3*o - 15. Let j(g) = -g**3 - 26*g**2 - 2*g - 52. Let a be j(-26). Factor a - 8/7*u + 20/7*u**2 - 16/7*u**n + 4/7*u**4.
4*u*(u - 2)*(u - 1)**2/7
Let i(k) be the third derivative of k**5/600 - k**4/60 - k**3/12 + 2*k**2 + 7. Factor i(u).
(u - 5)*(u + 1)/10
Let a be (85/34*(-4)/20)/((-2)/8). Determine n, given that 0 - 18/5*n**a + 8/5*n = 0.
0, 4/9
Let r(v) = 5*v**5 + 5*v**4 - 2*v**2 + 7*v + 3. Let t(d) = -11*d**5 - 10*d**4 - d**3 + 4*d**2 - 14*d - 7. Let i(f) = -13*r(f) - 6*t(f). Factor i(c).
(c - 3)*(c - 1)**3*(c + 1)
Let t(v) = -v**2 + 6*v - 2. Let y(z) be the second derivative of z**4/12 - 11*z**3/6 + 2*z**2 + 17*z. Let p(k) = -5*t(k) - 3*y(k). Solve p(h) = 0 for h.
-2, 1/2
Let r(w) be the second derivative of -w**5/15 - 5*w**4/18 - 4*w**3/9 - w**2/3 + 136*w. Factor r(u).
-2*(u + 1)**2*(2*u + 1)/3
Let h = 45453/203 + -1033/29. Let y = -188 + h. Suppose y + 3/7*w + 1/7*w**2 = 0. Calculate w.
-2, -1
Let g(q) be the first derivative of q**5 - 5*q**4/4 + 117. Find n such that g(n) = 0.
0, 1
Let p(y) = 28*y**3 - 20*y**2 - 40*y - 8. Let h(i) = 10*i**3 - 7*i**2 - 14*i - 3. Let t(g) = -8*h(g) + 3*p(g). Let t(u) = 0. What is u?
-1, 0, 2
Let x be 50/(-20) + 109/34. Let c = x - 2/51. Factor -2/3*s**5 + 0 + 0*s**4 + 4/3*s**3 + 0*s**2 - c*s.
-2*s*(s - 1)**2*(s + 1)**2/3
Let i = 5 + 1. Suppose 5*j = r - 7, -j = -3*r - i*j + 1. Factor -19*z**2 - 37*z**2 + 17*z**r + 45*z - 6.
-3*(z - 1)*(13*z - 2)
Let k(m) = -m**2 + 3*m - 6. Let v(h) = -2*h**2 + 7*h - 13. Let f(q) = -7*k(q) + 4*v(q). Let p be f(4). Let 2/5 - 2/5*u**p + 0*u = 0. Calculate u.
-1, 1
Let f be -10*(-12)/(-40)*-2. Factor 5*c + f*c**2 - 5*c + 2*c + 2*c**2.
2*c*(4*c + 1)
Factor 70/3*j**2 - 100*j + 120 - 5/3*j**3.
-5*(j - 6)**2*(j - 2)/3
Let n be 96/(-15)*-5*(-1)/(-2). Factor -20*y**4 - 3738*y + 3738*y - n*y**2 + 32*y**3 + 4*y**5.
4*y**2*(y - 2)**2*(y - 1)
Let h = -8/9 + 76/45. Let a = -2/5 + h. Find s such that 0 - a*s**3 - 2/5*s**4 + 4/5*s**2 + 0*s = 0.
-2, 0, 1
Suppose 0 = 1583*y - 1530*y - 159. Find n, given that 2*n - 1/2*n**y + 1/2*n**2 - 2 = 0.
-2, 1, 2
Let p(l) be the first derivative of -36 + 2/7*l**2 + 1/21*l**3 + 3/7*l. Suppose p(y) = 0. What is y?
-3, -1
Let i(d) = d**3 - 15*d**2 + d + 8. Let f be i(8). Let r be ((-27)/f)/((-2)/(-8)). Factor 0 + 1/4*k**3 + 0*k - r*k**4 + 0*k**2.
-k**3*(k - 1)/4
Suppose 0 = -2*y - y + 39. Suppose -10*x + y*x = 45. Factor 5*q - 17*q**2 + x*q**2 - q.
-2*q*(q - 2)
Let v be (-18)/27 + (-5630)/42. Let o = 135 + v. Factor o*z**2 - 8/7*z + 8/7.
2*(z - 2)**2/7
Determine j, given that 14/11*j**5 - 24/11*j**3 - 18/11*j**4 + 0*j + 8/11*j**2 + 0 = 0.
-1, 0, 2/7, 2
Let y be 16/(-30)*18/(-60). Let b = 38/75 + y. Facto