17*g**4 - 6/17*g**2 + 4/17*g = 0. Calculate g.
-2, 0, 1
Let n(y) be the third derivative of y**8/4032 + y**7/168 + 5*y**6/144 + y**5/60 - 4*y**2. Let s(a) be the third derivative of n(a). Factor s(h).
5*(h + 1)*(h + 5)
Let d(a) = 2*a**4 + 18*a**3 + 266*a**2 + 259*a - 567. Let g(x) = -x**4 - 6*x**3 - 88*x**2 - 86*x + 189. Let k(v) = 4*d(v) + 11*g(v). Factor k(l).
-3*(l - 7)*(l - 1)*(l + 3)**2
Let p(j) = 2*j**2 + 4*j - 65. Let m(t) = -t**2 - 2*t + 43. Let u(b) = -7*m(b) - 5*p(b). Let u(n) = 0. Calculate n.
-4, 2
Determine r so that -5*r - 10/3*r**2 + 0 + 5/3*r**3 = 0.
-1, 0, 3
Let z(w) be the second derivative of -7*w**5/25 + 4*w**4/3 + 8*w**3/15 - 64*w**2/5 - 10*w - 1. Suppose z(u) = 0. Calculate u.
-8/7, 2
Let u be (3/9)/((-1)/(-15)). Suppose 4 = u*h - 6. Factor -4/7 - 6/7*s - 2/7*s**h.
-2*(s + 1)*(s + 2)/7
Let s(p) = 5*p + 16. Let k(m) = 1. Let q(b) = -2*k(b) - s(b). Let l be q(-4). Factor 2/5*w**l - w**3 - 2/5 + w.
-(w - 1)*(w + 1)*(5*w - 2)/5
Let g(p) be the first derivative of -p**6/36 + p**5/10 + 17*p**4/24 - 13*p**3/6 + 5*p**2/3 + 1058. Find u such that g(u) = 0.
-4, 0, 1, 5
Suppose 10/7*i**3 + 2/7*i**4 + 64/7 - 48/7*i**2 + 8/7*i = 0. Calculate i.
-8, -1, 2
Suppose -5*f + 35 = 0, -42*v - 5*f - 9 = -46*v. Factor 9/4*n**3 + 6 + 1/4*n**4 + 15/2*n**2 + v*n.
(n + 2)**3*(n + 3)/4
Let v(t) be the first derivative of 5*t**3/3 + 65*t**2/2 - 150*t - 26. Solve v(f) = 0 for f.
-15, 2
Let p be 84/(-36)*48/(-392). Solve p - 2/7*o**2 - 2/7*o**3 + 2/7*o = 0.
-1, 1
Let k(i) be the first derivative of -43 - 12/7*i + 1/14*i**4 - 4/7*i**3 + 11/7*i**2. Determine j so that k(j) = 0.
1, 2, 3
Let a(h) be the third derivative of 0*h + 0*h**3 - 1/6*h**4 - 17*h**2 + 0 + 1/60*h**5. Solve a(w) = 0.
0, 4
Let t(x) = 25*x**3 + 170*x**2 - 465*x + 360. Let p(k) = k**3 + k**2 + k. Let s(b) = -30*p(b) + t(b). Find g such that s(g) = 0.
1, 3, 24
Let i = 665 - 663. Let d(z) be the third derivative of 6*z**i + 0 - z**3 + 1/20*z**5 - 1/8*z**4 + 0*z. Factor d(c).
3*(c - 2)*(c + 1)
Let r = 1394 - 1390. Let d(v) be the third derivative of 1/30*v**5 + 0*v + 0 + 9*v**2 + 16/27*v**3 - 2/9*v**r. Find x such that d(x) = 0.
4/3
Let w = 7080 - 7078. Find r, given that -4/7 - 8/7*r**w - 12/7*r = 0.
-1, -1/2
Let i(r) be the second derivative of r**9/504 + r**8/112 + r**7/140 - 4*r**3/3 - 12*r. Let l(s) be the second derivative of i(s). Factor l(z).
3*z**3*(z + 2)*(2*z + 1)
Let v(h) = h**4 + 2*h**3 - 2*h**2 + h. Let t(c) = -2*c**4 + 19*c**3 + 58*c**2 + 41*c - 16. Let q(r) = -t(r) + 5*v(r). Determine b so that q(b) = 0.
-2, -1, 2/7, 4
Suppose -41472/7 + 96/7*y**3 - 1728/7*y**2 + 13824/7*y - 2/7*y**4 = 0. What is y?
12
Suppose 0 = -d + 6*h + 22 + 16, 4*h = -d - 22. Factor 1 - 1/4*k**d + 0*k.
-(k - 2)*(k + 2)/4
Let w(v) = 0*v - 6 + 2*v - 12 + 2. Let h be w(8). Find a, given that -2/5*a**5 + 0 + h*a**2 + 0*a**4 + 0*a + 2/5*a**3 = 0.
-1, 0, 1
Factor -8*z**3 - 10*z**2 + 4*z - 4*z + 3*z**3.
-5*z**2*(z + 2)
Let v be 124/(-10) + 19 + (33 - 39). Let v*r**2 - 11/5 - 32/5*r = 0. What is r?
-1/3, 11
Let 2/3*i**4 + 0 + 116/3*i**3 + 520*i**2 - 1200*i = 0. Calculate i.
-30, 0, 2
Let y(g) be the third derivative of g**4 + 30*g**3 + 0 + 0*g + 1/75*g**5 + 7*g**2. Factor y(v).
4*(v + 15)**2/5
Let f(y) be the first derivative of -y**4/6 + 2*y**3 + 22*y**2/3 - 59. Factor f(i).
-2*i*(i - 11)*(i + 2)/3
Let z(v) = -2*v**5 - 8*v**4 - 12*v**3 + 2*v**2 + 14*v + 6. Let d(l) = l**4 - l**2. Let t(o) = -2*d(o) + z(o). What is b in t(b) = 0?
-3, -1, 1
Let m(w) be the third derivative of 0*w**5 - 1/210*w**7 + 28*w**2 + 0 + 0*w + 0*w**4 + 1/120*w**6 + 0*w**3. Factor m(s).
-s**3*(s - 1)
Let j(u) be the second derivative of -u**7/42 - 2*u**6/15 - 3*u**5/20 + u**4/3 + 2*u**3/3 + 3*u - 30. Suppose j(w) = 0. Calculate w.
-2, -1, 0, 1
Suppose -4*f**2 + 0 + 4/7*f**3 + 40/7*f = 0. Calculate f.
0, 2, 5
Let i(l) be the first derivative of -l**7/210 + l**6/90 + 13*l**3/3 + 19. Let z(b) be the third derivative of i(b). Solve z(w) = 0 for w.
0, 1
Let j(m) = -217*m - 1084. Let a be j(-5). Suppose -3*p + 2 = 14. Let o(k) = -7*k**2 + 30*k - 71. Let q(u) = -u**2 + 1. Let h(n) = a*o(n) + p*q(n). Factor h(t).
-3*(t - 5)**2
Let k(s) = -2*s**3 - 16*s**2 + 4*s + 32. Let z be k(-8). Suppose -2*b + 139 - 135 = z. Factor -3/2*t**b + 0 + 0*t.
-3*t**2/2
Suppose 3*m - 4*m = -4*t, 3*t = -2*m. Let s(o) be the second derivative of -1/6*o**2 - 5*o - 1/12*o**4 + 1/6*o**3 + 1/60*o**5 + m. Determine z so that s(z) = 0.
1
Let d be (-16 - -18)/((-2)/14). Let g be (-2 - -2) + -2*2/d. Factor -8/7*w**3 + 0*w + g*w**2 + 0 + 6/7*w**4.
2*w**2*(w - 1)*(3*w - 1)/7
Let p(z) be the second derivative of -1/3*z**3 + 0 + 1/18*z**4 - 1/270*z**5 - 3*z + 1/2*z**2. Let k(h) be the first derivative of p(h). Factor k(n).
-2*(n - 3)**2/9
Let d be 470/423 - 2/(-36)*4. Determine z, given that d*z**2 - 4/3*z - 8/3 = 0.
-1, 2
Suppose 13*k**3 - 44*k**2 + 700*k + 680 - 8*k**3 + 234*k**2 = 0. What is k?
-34, -2
Let x = 209/434 + 4/217. Let u(o) be the first derivative of -4 + 0*o**3 + 0*o + x*o**4 + 0*o**2. Factor u(y).
2*y**3
Let d(m) = -m**3 - 18*m**2 - 17*m + 4. Let k be d(-17). Let c be 2 + -1 - (0 - 2). Solve c*r**4 - r + 2*r**5 - 3 - r**3 - k*r**2 + r**2 + 3 = 0.
-1, -1/2, 0, 1
Let m = 175 - -106. Let z = 1133/4 - m. Suppose -9/4*t**5 + 0 + z*t**4 - 1/2*t**3 + 0*t + 0*t**2 = 0. Calculate t.
0, 1/3, 2/3
Let z(n) be the first derivative of -1/4*n**4 - 1/12*n**2 + 0*n - 1 + 2/9*n**3 - 1/36*n**6 + 2/15*n**5. Determine r so that z(r) = 0.
0, 1
Let a(o) be the second derivative of -7*o**5/10 + 4*o**4/3 + 86*o. Factor a(z).
-2*z**2*(7*z - 8)
Find o, given that 4 - 15*o**5 + 65*o**4 + 14*o**3 - 24 - 79*o**3 - 45*o**2 + 80*o = 0.
-1, 1/3, 1, 2
Suppose 5*z - 1 + 9 = -s, -5*s + 4*z = -18. Let b = 4739/2 - 2342. Solve -s + 363/4*q**3 - 19*q - b*q**2 = 0.
-2/11, 2/3
Let w(s) be the third derivative of -1/54*s**4 - 3*s**2 + 0*s**3 + 0*s + 1/270*s**5 + 0. Let w(l) = 0. Calculate l.
0, 2
Let m(f) be the third derivative of -1/6*f**3 - 5/72*f**4 + 0*f + 0 - 10*f**2 + 1/360*f**6 - 1/180*f**5. Factor m(j).
(j - 3)*(j + 1)**2/3
Let b(t) be the third derivative of 1/525*t**7 + 1/30*t**4 - 6*t**2 + 0*t**5 - 1/150*t**6 - 1/15*t**3 + 0 + 0*t. Factor b(s).
2*(s - 1)**3*(s + 1)/5
Let z = 3/47 - -79/235. Suppose -z + 4/5*q**3 - 2*q + 6/5*q**5 - 12/5*q**2 + 14/5*q**4 = 0. Calculate q.
-1, -1/3, 1
Let l(g) be the first derivative of -g**6/40 - g**5/4 + 3*g**4/4 - 19*g**2 + 9. Let b(y) be the second derivative of l(y). Factor b(z).
-3*z*(z - 1)*(z + 6)
Suppose 0 = a + 5*s - 0 - 21, -2*a - 2 = -s. Let w(y) be the first derivative of 0*y**5 + 0*y - 1/18*y**6 - a + 1/6*y**4 + 0*y**3 - 1/6*y**2. Factor w(h).
-h*(h - 1)**2*(h + 1)**2/3
Let i(x) be the second derivative of -x**6/90 + 2*x**5/15 + 11*x**4/12 + 2*x**3/9 - 22*x**2/3 - 207*x. Factor i(j).
-(j - 11)*(j - 1)*(j + 2)**2/3
Let t(n) be the third derivative of -n**7/7560 - n**6/540 - n**5/120 + 7*n**4/24 - n**2. Let z(i) be the second derivative of t(i). Factor z(r).
-(r + 1)*(r + 3)/3
Let z(b) be the second derivative of -b**7/1680 - b**6/480 + b**4/96 + b**3/48 + 4*b**2 - 8*b. Let q(w) be the first derivative of z(w). Factor q(x).
-(x - 1)*(x + 1)**3/8
Let p(o) be the third derivative of o**7/1365 + o**6/78 + 16*o**5/195 + 8*o**4/39 + 66*o**2. Factor p(h).
2*h*(h + 2)*(h + 4)**2/13
Let b(p) = p**4 - p**3 - p - 1. Let r(q) = 7*q**4 + 101*q**3 - 111*q**2 - 109*q + 104. Let f(m) = -4*b(m) + r(m). Factor f(l).
3*(l - 1)**2*(l + 1)*(l + 36)
Let a(q) be the third derivative of -q**5/15 + q**4/2 + 46*q**2 + q. Solve a(v) = 0.
0, 3
Let -2/5*s**5 + 12/5*s + 26/5*s**2 + 14/5*s**3 + 0 - 2/5*s**4 = 0. Calculate s.
-2, -1, 0, 3
Suppose -16*i - 1/6*i**2 + 0 = 0. What is i?
-96, 0
Let v(s) be the third derivative of -s**8/15120 - s**7/945 - s**6/135 - 13*s**5/30 + s**2 + 14. Let z(x) be the third derivative of v(x). Factor z(j).
-4*(j + 2)**2/3
Let p be (2 - -23)/(-3 + 77 + 2). Let t = p + -3/38. Factor 3/4*g - 3/4*g**3 - t + 1/4*g**2.
-(g - 1)*(g + 1)*(3*g - 1)/4
Let k(c) = c**3 - c**2 - 51*c - 38. Let l be k(8). What is p in 3/8*p + 1/8*p**l + 1/4 = 0?
-2, -1
Let q(n) be the first derivative of 2*n**7/21 + 2*n**6/15 - n**5/5 - n**4/3 - 19*n + 15. Let p(a) be the first derivative of q(a). Factor p(g).
4*g**2*(g - 1)*(g + 1)**2
Let v(f) = -13*f**2 - 83*f - 80. Let d(n