(n).
n**2*(n - 27)**2*(n + 1)/7
Let o(i) be the third derivative of -25*i**8/1344 - 29*i**7/168 - 167*i**6/240 - 191*i**5/120 - 217*i**4/96 - 49*i**3/24 + 330*i**2. Factor o(j).
-(j + 1)**3*(5*j + 7)**2/4
Let 0 + 11/5*h + 13/10*h**2 + 1/10*h**3 = 0. Calculate h.
-11, -2, 0
Let n be 3*(-51)/(-315) - 34/119. Find j, given that -2/5*j**2 + 0 + 0*j + n*j**3 = 0.
0, 2
Suppose 700/3*g + 356*g**2 + 12*g**3 + 116/3 = 0. What is g?
-29, -1/3
Let q(p) be the third derivative of p**8/336 - p**7/168 - p**6/72 + p**5/24 + 10*p**3/3 + 9*p**2. Let y(r) be the first derivative of q(r). Factor y(s).
5*s*(s - 1)**2*(s + 1)
Let u be (5/4)/(3/72). Let z = 43 - u. Find p such that -p**5 - 8*p + 6*p**4 - z - 5*p**4 + 9 - p**2 + 5*p**3 = 0.
-1, 2
Let x(i) be the third derivative of 0 + 0*i - 1/84*i**8 + 2/105*i**7 + 1/15*i**6 - 12*i**2 - 1/6*i**4 + 2/3*i**3 - 2/15*i**5. Factor x(s).
-4*(s - 1)**3*(s + 1)**2
Let v(t) be the second derivative of t**6/80 + 3*t**5/4 + 357*t**4/32 - 441*t**3/8 - 210*t. What is p in v(p) = 0?
-21, 0, 2
Let u(i) be the third derivative of 3/140*i**5 + 0*i**3 - 1/28*i**4 + 0*i + 25*i**2 - 1/490*i**7 + 0 + 0*i**6. Find k, given that u(k) = 0.
-2, 0, 1
Let a(n) be the third derivative of 5*n**6/24 + 41*n**5/6 + 220*n**4/3 + 320*n**3/3 - 1018*n**2. Suppose a(m) = 0. Calculate m.
-8, -2/5
Let m = 4877 - 4873. Let -18/25*i**m - 66/25*i - 18/25 - 12/5*i**3 - 2/25*i**5 - 92/25*i**2 = 0. What is i?
-3, -1
What is o in -12*o**3 - 12*o**2 - 8*o**4 + 4*o**4 - 52*o + 48*o = 0?
-1, 0
Let i be 6/(-45) + (-1318)/15. Let s be 418/i*1*-4. What is p in -s*p**2 + 8*p**2 + 7*p**2 + 6*p + 4 - 6*p**3 = 0?
-1, -2/3, 1
Factor -3 - 356*o**2 + 50*o**3 - 2 + 603*o**2 - 352*o**2 + 60*o.
5*(o - 1)**2*(10*o - 1)
Let l(x) be the first derivative of 2*x**3/3 - 4*x**2 - 10*x + 206. Factor l(w).
2*(w - 5)*(w + 1)
Let t(u) be the third derivative of u**9/10800 - 23*u**8/33600 + u**7/2100 - u**4/12 - 9*u**2. Let m(q) be the second derivative of t(q). Factor m(r).
r**2*(r - 3)*(7*r - 2)/5
Factor 0 + 8/3*t - 1/3*t**3 + 7/3*t**2.
-t*(t - 8)*(t + 1)/3
Let z = 9 - 9. Suppose z*o + 3*o = 15. Suppose -u**3 + 12*u**4 - 3*u**2 - 4*u + 2 + o*u - 11*u**4 = 0. Calculate u.
-1, 1, 2
Let q(c) be the third derivative of -2*c**7/105 + c**6/5 - 3*c**5/5 - 2*c**4/3 + 8*c**3 - 111*c**2. Factor q(r).
-4*(r - 3)*(r - 2)**2*(r + 1)
Let i(n) be the third derivative of 7*n**6/720 - 47*n**5/360 - 35*n**4/72 - 4*n**3/9 + 171*n**2. Determine w so that i(w) = 0.
-1, -2/7, 8
Let y be (-4)/(-24)*2*12/(-56). Let u = 59/42 + y. Solve -2/3*i**3 + 2/3*i**2 + u*i + 0 = 0 for i.
-1, 0, 2
Let r be (12/(-70))/((-11)/10 + 1). Let l = r - 41/28. Factor 0*t**4 + 0 + 0*t**2 + 1/4*t**5 - 1/2*t**3 + l*t.
t*(t - 1)**2*(t + 1)**2/4
Suppose 3*o - 2 = 2*o + 3*v, 4*v + 46 = -3*o. Let f(j) = -j**3 - 9*j**2 + 6*j + 25. Let t be f(o). Solve t*x - 74*x - 6*x**2 + 3*x**2 - 6 = 0.
-2, -1
Let h = -220 - -225. Let s(r) be the first derivative of 5 - 1/10*r**h + 1/8*r**4 + 0*r + 0*r**3 + 0*r**2. Factor s(t).
-t**3*(t - 1)/2
Let a be (-596)/(-2235) - (-123)/45. Let 0*w**2 + 3/7*w**a + 3/7*w**4 + 0 + 0*w = 0. Calculate w.
-1, 0
Let a(r) be the second derivative of 1/2*r**4 + 0 + 6*r**2 + 2*r + 11/3*r**3. Solve a(z) = 0.
-3, -2/3
Let m(f) = 8*f**2 - 5*f + 11. Let q be m(5). Let x = q - 182. Let -2/7*v**2 + 1/7*v**5 + 3/7*v**x + 2/7*v**3 - 1/7 - 3/7*v = 0. Calculate v.
-1, 1
Let m be (27/36 + 2/(-4))*30. Let y(v) be the first derivative of 3/4*v**4 - 1 + 4*v**3 + m*v**2 + 6*v. Factor y(i).
3*(i + 1)**2*(i + 2)
Let j(t) = 4*t**4 + 62*t**3 + 306*t**2 + 250*t - 640. Let s(d) = 4*d**4 + 63*d**3 + 307*d**2 + 251*d - 640. Let r(q) = -5*j(q) + 6*s(q). Factor r(g).
4*(g - 1)*(g + 4)**2*(g + 10)
Let v be (-90)/12*(8/(-6) + 2). Let a be 4/v - (-92)/15. Factor -250/3*z**3 - a - 100*z**2 - 40*z.
-2*(5*z + 2)**3/3
Let l(q) be the first derivative of q**7/280 - q**6/60 - 3*q**5/40 - 8*q**3/3 - 14. Let r(b) be the third derivative of l(b). Find u, given that r(u) = 0.
-1, 0, 3
Solve -10738 - 5*n**2 - 4*n**3 - 6*n**3 + 10740 + 3*n**2 + 10*n = 0 for n.
-1, -1/5, 1
Suppose -28 = 8*l - 22*l. Suppose 5*z = d + 20, l*d = 5*z - 3 - 12. Factor 15/4*f**3 + 0*f + 0 + 21/4*f**4 + 3/4*f**2 + 9/4*f**z.
3*f**2*(f + 1)**2*(3*f + 1)/4
Suppose -4*q - 5*k + 136 = 0, 0*q + 3*k = -q + 27. Factor -g**2 - 3*g**2 - 3*g + q*g - 16*g - 16.
-4*(g - 4)*(g - 1)
Let d(i) be the third derivative of i**6/420 - 13*i**5/35 + 169*i**4/7 - 17576*i**3/21 - 3*i**2 + 2. Solve d(b) = 0 for b.
26
Let j(c) = 2*c + 19. Let q be j(-7). Suppose 5*b - 20 - q = 0. Determine h so that -1/6*h**4 + 1/3*h**2 - 1/6 - 1/6*h**b + 1/3*h**3 - 1/6*h = 0.
-1, 1
What is n in 0 + 24*n**2 + 0 + 4*n**3 + 4*n**2 = 0?
-7, 0
Let z(l) = -l**3 - 3*l**2 + l - 3. Let j(y) = -3*y**3 - 5*y**2 + 3*y - 5. Let m = -37 + 40. Let s(v) = m*j(v) - 5*z(v). Find g, given that s(g) = 0.
-1, 0, 1
Factor 0 - 50/3*z + 1/3*z**2.
z*(z - 50)/3
Let x(i) be the first derivative of 0*i**2 - 2/15*i**3 - 81/100*i**5 + 3/5*i**4 - 3 - 4*i. Let y(m) be the first derivative of x(m). Solve y(v) = 0.
0, 2/9
Let l(r) be the third derivative of -r**8/1680 + r**7/1260 + r**6/45 + 3*r**5/10 + 13*r**2. Let z(s) be the third derivative of l(s). Let z(k) = 0. Calculate k.
-1, 4/3
Let 3/7*x**2 + 0 + 0*x - 6/7*x**3 + 3/7*x**4 = 0. What is x?
0, 1
Let q(i) be the first derivative of 3*i**5/5 - 57*i**4 + 1444*i**3 - 284. Factor q(f).
3*f**2*(f - 38)**2
Solve -21/8*f**2 + 3/8*f**3 + 6*f - 9/2 = 0 for f.
2, 3
Let g(i) be the third derivative of -i**8/1344 - i**7/420 + i**6/480 + i**5/120 - i**2 + 79*i. Find t such that g(t) = 0.
-2, -1, 0, 1
Let g(r) be the second derivative of r**7/2100 - r**6/300 - r**3 - 14*r. Let y(p) be the second derivative of g(p). Factor y(c).
2*c**2*(c - 3)/5
Let o(t) be the third derivative of -t**6/8 - t**5/12 + 35*t**4/24 + 25*t**3/6 + 13*t**2. Find j, given that o(j) = 0.
-1, 5/3
Let m(q) be the first derivative of -5 - q**2 + 2*q + 1/2*q**4 - 2/3*q**3. Solve m(c) = 0.
-1, 1
Let b(k) = -88*k**2 - 5580*k - 280000. Let v(w) = 13*w**2 + 797*w + 40000. Let j(a) = 3*b(a) + 20*v(a). Suppose j(g) = 0. Calculate g.
-100
Let w(h) be the second derivative of -h**5/170 - 5*h**4/102 - h**3/17 + 9*h**2/17 - h - 19. Find g such that w(g) = 0.
-3, 1
Let l(r) be the second derivative of r**8/3360 - r**6/720 + 4*r**3/3 - 9*r. Let g(i) be the second derivative of l(i). Solve g(z) = 0 for z.
-1, 0, 1
Let z(s) be the first derivative of s**4/16 + 8*s**3/3 + 29*s**2/2 + 28*s - 453. Let z(f) = 0. What is f?
-28, -2
Let v(r) = -1. Let w(x) = 2 - x**3 + 8*x + 4*x - 6. Let o(b) = v(b) + w(b). Let f(c) be the first derivative of o(c). Let f(d) = 0. What is d?
-2, 2
Let m(g) = -5*g**4 + 45*g**3 - 105*g**2 + 90*g - 5. Let p = 64 + -59. Let j(t) = -t**3 + 1. Let l(u) = p*j(u) + m(u). Suppose l(i) = 0. Calculate i.
0, 2, 3
Let f(y) be the first derivative of y**4/6 - y**2 - 8*y + 1. Let d(v) be the first derivative of f(v). Factor d(r).
2*(r - 1)*(r + 1)
Let d(q) be the second derivative of -2*q**5/85 + 5*q**4/34 - 8*q**3/51 - 3*q**2/17 - 46*q. Suppose d(o) = 0. What is o?
-1/4, 1, 3
Factor -12/5 + 2*w + 2/5*w**2.
2*(w - 1)*(w + 6)/5
Let q(p) be the first derivative of -18/95*p**5 - 4/19*p**2 - 32/57*p**3 + 0*p - 4 - 21/38*p**4. Factor q(n).
-2*n*(n + 1)*(3*n + 2)**2/19
Suppose -161*v = -184*v - 52 + 121. Factor 0*i**v - 1/2*i**4 + 0*i + i**2 - 1/2.
-(i - 1)**2*(i + 1)**2/2
Solve 2/5*q + 0 + 4/5*q**2 = 0 for q.
-1/2, 0
Suppose -2/17*s**2 - 6/17 + 8/17*s = 0. Calculate s.
1, 3
Let k be ((-880)/140)/(2/59). Let n = -185 - k. Determine u so that -n*u**2 + 0 + 0*u = 0.
0
Let y(i) be the second derivative of i**4/4 - 109*i**3 - 657*i**2/2 - 300*i. Determine f, given that y(f) = 0.
-1, 219
Suppose -24*l**2 + 41*l**2 - 170*l**3 + 62*l**3 - 64 - 107*l + 315*l + 367*l**2 = 0. Calculate l.
-2/3, 2/9, 4
Let n = 2374 + -11866/5. Factor -8/5 - 1/10*m**2 + n*m.
-(m - 4)**2/10
Let d(g) be the first derivative of -g**3/36 + 19*g**2/24 - 3*g/2 - 10. Determine r, given that d(r) = 0.
1, 18
Determine x so that 6 - x**5 - 26*x**2 + 17*x - 4*x**4 + 22*x**2 + 18*x**2 = 0.
-3, -1, 2
Let j(k) be the second derivative of -k**6/105 - 2*k**5/35 + k**4/21 + 4*k**3/7 - 9*k**2/7 - 311*k. Find n, given that j(n) = 0.
-3, 1
Let w(l) = 2*l**2 - l - 2. Let y(d) = -7*d**2 - 214*d - 208. L