of -o**6/600 + o**5/75 - o**4/40 - 7*o**2 - o - 5. Let k(p) be the first derivative of a(p). Factor k(y).
-y*(y - 3)*(y - 1)/5
Let f = -38 - -54. Let s be 92/f - (-9)/(-12). Find h, given that 27 + 48*h**3 - 7 - 35*h - 10*h**4 - h**5 - 4*h**s - 8*h**3 - 10*h**2 = 0.
-4, -1, 1
Let f = 787126/102323 - 2/7871. Let g = f + -492/91. Factor g + 20/7*v + 4/7*v**2.
4*(v + 1)*(v + 4)/7
Let q(f) = f**2 + 24*f - 252. Let p be q(8). Factor -10*l**3 - p + 22*l**2 + 15*l + 23*l**2 - 30*l - 16.
-5*(l - 4)*(l - 1)*(2*l + 1)
Suppose -86 = -55*i + 77 + 57. Let m(b) be the second derivative of 1/24*b**i - 1/3*b**3 + 0*b**2 + 21*b + 0. Find p such that m(p) = 0.
0, 4
Let v(k) be the first derivative of -2*k**5/25 + 22*k**4/15 - 41*k**3/15 + 2*k**2 - 8*k + 45. Let o(n) be the first derivative of v(n). What is y in o(y) = 0?
1/2, 10
Let w(k) = 3*k + 1. Let g be w(1). Suppose -14*m - 51 = -b - 10*m, 217 = 3*b + g*m. Factor -5 + 37*t**2 + 20*t + 20*t**3 - b*t**2 + 0 - 5*t**4.
-5*(t - 1)**4
Let z(a) be the first derivative of 3*a**4/8 - 193*a**3/2 + 1122*a**2 - 4440*a + 8172. Factor z(v).
3*(v - 185)*(v - 4)**2/2
What is k in 1/5*k**2 - 342/5 - 111/5*k = 0?
-3, 114
Let r(z) be the first derivative of z**3/3 - 5*z**2 + 19*z + 156. Let k be r(8). Let 1/4*f - 1/4*f**4 + 1/4*f**2 + 0 - 1/4*f**k = 0. Calculate f.
-1, 0, 1
Suppose -5*u + 36023 = 5*i - 9*u, 2*i = 2*u + 14410. Determine w, given that 7203 - 5*w**3 + 35*w**2 - i = 0.
0, 7
Let i(q) be the third derivative of -11*q**6/360 - q**5/15 + q**4/8 - 23*q**3/2 + 3*q**2. Let j(k) be the first derivative of i(k). Solve j(x) = 0.
-1, 3/11
Suppose -3 - 40*u**2 - 2*u**3 + 22*u - 42804*u**4 + 42799*u**4 + 28*u**3 = 0. What is u?
1/5, 1, 3
Let w(c) be the third derivative of c**7/105 + 11*c**6/12 + 17*c**5/5 - 55*c**4/3 - 424*c**3/3 + 1778*c**2 - 1. Factor w(o).
2*(o - 2)*(o + 2)**2*(o + 53)
Factor -74/5 - 1/10*h**2 - 41/10*h.
-(h + 4)*(h + 37)/10
Let z(i) = -4*i**2 + 321*i - 5942. Let c be z(29). Let 4/3*p**2 - 12/5 - 14/15*p**c + 22/5*p - 4/15*p**4 = 0. What is p?
-3, 1/2, 2
Let w(j) = -7661*j + 61290. Let f be w(8). Factor 3*s + 1/5*s**f + 26/5.
(s + 2)*(s + 13)/5
Suppose -108 = 74*s - 108. Let o(v) be the first derivative of s*v - 11 - 1/45*v**5 + 0*v**2 + 1/18*v**4 + 1/9*v**3. Find g, given that o(g) = 0.
-1, 0, 3
Let q(v) = -63*v + 941. Let l be q(14). Let h be l/20 + (-39)/(-156). Factor 0*z - 4/5*z**3 - 12/5*z**2 + h.
-4*(z - 1)*(z + 2)**2/5
Let -21*f**3 - 23*f**4 - 10*f**2 - f**5 + 75*f**4 - 32*f**4 - 28*f**4 - 8*f**2 = 0. Calculate f.
-3, -2, 0
Suppose 20*b + 4*u = 21*b, 0 = -u. Let z(k) be the third derivative of -3*k**2 + b*k**4 + 0 - 1/36*k**3 + 1/360*k**5 + 0*k. Factor z(p).
(p - 1)*(p + 1)/6
Let k(d) = -d**3 + 51*d**2 - 10*d + 512. Let n be k(51). Let h = 77/213 - 2/71. Factor h*j**n - 1/6*j - 1/6*j**3 + 0.
-j*(j - 1)**2/6
Let j(z) be the first derivative of -2*z**5/65 + 17*z**4/13 - 698*z**3/39 + 1020*z**2/13 - 1800*z/13 - 3250. Let j(l) = 0. Calculate l.
2, 15
Suppose 15*v - 32*v - 34391 = 0. Let x = 30361/15 + v. Suppose 2/5*k**5 - 4/5*k**2 - x*k**3 + 4/15 + 2/3*k + 8/15*k**4 = 0. What is k?
-2, -1, -1/3, 1
Let f(c) be the first derivative of -c**6/6 + 9*c**5/4 + 97*c + 12. Let r(g) be the first derivative of f(g). Solve r(o) = 0.
0, 9
Let b be (-4155)/2055 + (2 - 0). Let f = b - -1105/411. Solve f + 20/3*i + 4/3*i**2 - 20/3*i**3 - 4*i**4 = 0.
-1, -2/3, 1
Factor -2/9*s**2 + 10/9 + 8/9*s.
-2*(s - 5)*(s + 1)/9
Suppose 1480/7*m + 4/7*m**2 + 2944/7 = 0. Calculate m.
-368, -2
Let a(w) be the first derivative of 0*w**2 - 2/15*w**5 + 20/9*w**3 + 0*w + 1/2*w**4 + 46. Factor a(n).
-2*n**2*(n - 5)*(n + 2)/3
Find w, given that 5/8*w**3 - 1/8*w**2 - 17/8*w + 3/2 + 1/8*w**4 = 0.
-4, -3, 1
Let v(k) be the third derivative of -3/10*k**5 + 0*k**4 - 1/40*k**6 + 0*k**3 + 2/105*k**7 - 23*k**2 + 1/336*k**8 + 0*k - 1. Suppose v(y) = 0. Calculate y.
-3, 0, 2
Let a = -123139/120 + 6157/6. Let b(o) be the third derivative of 0*o**4 + 0*o**5 + 25*o**2 + 0 + 0*o**3 + a*o**6 + 0*o. Let b(n) = 0. What is n?
0
Suppose -373*h = -369*h - 32. Factor -h*w - 50 - 5*w**2 + 59 - w - 3*w.
-(w + 3)*(5*w - 3)
Let m be ((-24)/(-30))/((-1)/(-5)). Let a be (-90)/(-280) + 1/m + 0. Factor 20/7*o**2 + a*o**4 - 16/7*o**3 + 0 - 8/7*o.
4*o*(o - 2)*(o - 1)**2/7
Let b(c) be the third derivative of c**7/525 - c**6/100 - c**5/50 + 7*c**4/60 + 2*c**3/5 + 5197*c**2. Factor b(s).
2*(s - 3)*(s - 2)*(s + 1)**2/5
Factor 24*n**4 - 54*n**3 + 2*n**4 + 9*n**4 + 9*n**3 + 270*n - 5*n**5 - 135*n**2.
-5*n*(n - 3)**3*(n + 2)
Let b(y) be the first derivative of 27/25*y**5 - 3/5*y**2 + 3/10*y**4 - 226 + 0*y - 9/5*y**3. Suppose b(z) = 0. Calculate z.
-1, -2/9, 0, 1
Let j(b) be the second derivative of -b - 3 + 27/10*b**2 + 3/100*b**5 + 3/2*b**3 + 7/20*b**4. Factor j(l).
3*(l + 1)*(l + 3)**2/5
Let o(w) be the third derivative of 0 - 7/120*w**6 - 14*w**2 + 0*w - 25/8*w**4 + 11/15*w**5 + 3*w**3. Factor o(q).
-(q - 3)**2*(7*q - 2)
Determine t, given that -2*t**3 - 66*t**2 + 5*t**3 - 12323 - 5680*t - 158*t**2 + t**3 - 18077 = 0.
-10, 76
Let l(z) be the first derivative of z**4 + 80*z**3/3 - 134*z**2 + 184*z + 341. Factor l(n).
4*(n - 2)*(n - 1)*(n + 23)
Let w(r) be the first derivative of r**3/8 + 87*r**2/16 + 285*r/4 - 1894. Factor w(z).
3*(z + 10)*(z + 19)/8
Let v(n) be the third derivative of -n**6/40 - 17*n**5/20 - 13*n**4/2 - 218*n**2 + 5*n + 1. Suppose v(h) = 0. Calculate h.
-13, -4, 0
Let d(r) be the first derivative of 88/5*r - 70 - 16/5*r**3 + 1/5*r**4 + 18/5*r**2. Determine v, given that d(v) = 0.
-1, 2, 11
Factor -1972/3*u - 2/3*u**2 - 486098/3.
-2*(u + 493)**2/3
Let n(y) = y**2 - y - 5. Let t be n(3). Let l be 14/2 - 3/t. Factor 286*o**3 - 3*o**l + 6*o**4 - 280*o**3 + 3*o**2.
3*o**2*(o + 1)**2
Let s(b) be the first derivative of -b**4/36 + b**3/9 + b**2 - 1677. Suppose s(k) = 0. What is k?
-3, 0, 6
Factor -116964 - 1/4*t**2 - 342*t.
-(t + 684)**2/4
Let y(o) be the third derivative of o**5/80 - 29*o**4/16 + 69*o**3 - 5*o**2 - 292. Factor y(h).
3*(h - 46)*(h - 12)/4
Let v(m) be the second derivative of 1/15*m**6 + 0*m**2 - 1/6*m**4 - 1/12*m**3 + 2 + 1/40*m**5 - 6*m. Factor v(f).
f*(f - 1)*(f + 1)*(4*f + 1)/2
Let a(w) be the first derivative of w**4/6 + 140*w**3/3 + 4900*w**2 + 34*w - 192. Let c(u) be the first derivative of a(u). Determine t so that c(t) = 0.
-70
Let w be 0/(-13) - ((-39)/(-78) - 27/30). What is b in -106/5 - w*b**2 + 108/5*b = 0?
1, 53
Let h = -1/12364 + 37097/61820. Let d(q) be the second derivative of h*q**2 + 2/15*q**3 - 1/30*q**4 - 3*q + 0. Find b such that d(b) = 0.
-1, 3
Let d(b) be the third derivative of -b**5/60 - 1447*b**2. Factor d(n).
-n**2
Find s, given that -18/7*s**3 + 3/7*s**4 + 6*s - 27/7*s**2 + 0 = 0.
-2, 0, 1, 7
Suppose -50 = -10*f - 0. Let j(z) = z**3 - 3*z**2 - 8*z - 8. Let t be j(f). Determine g so that 8/7 + 8/7*g + 2/7*g**t = 0.
-2
Let g(n) = n**3 - 5*n**2 + 9*n - 19. Let u be g(4). Let y(p) be the first derivative of 5/6*p**3 - 1/2*p**4 - u - 1/4*p**2 + 0*p. Let y(w) = 0. What is w?
0, 1/4, 1
Factor -3 + 15 + 46749*a**2 + 1492*a + 256439*a**2 - 79601*a**2 + 1784*a.
3*(273*a + 2)**2
Solve 4/9*f**2 + 2944/3*f + 541696 = 0 for f.
-1104
Let g = 16623/2 - 8298. Find a such that -9 - g*a**3 - 63/2*a**2 - 3/2*a**4 - 57/2*a = 0.
-6, -1
Let u(z) be the first derivative of -2*z**4/13 - 1942*z**3/39 + 243*z**2/13 + 949. Factor u(g).
-2*g*(g + 243)*(4*g - 1)/13
Let y(r) be the first derivative of -r**4/24 - 11*r**3/12 + 27*r + 45. Let x(v) be the first derivative of y(v). Factor x(f).
-f*(f + 11)/2
Suppose 14 = 4*a + 3*t - 8*t, a - 16 = -5*t. Factor 25*q**3 - 2*q**2 - a*q + 2 - 19*q**3 - 2*q**4 + 2.
-2*(q - 2)*(q - 1)**2*(q + 1)
Let u = -108/301 + 1656/301. Factor -4/7*k**3 + u*k**2 + 4/7*k - 36/7.
-4*(k - 9)*(k - 1)*(k + 1)/7
Let a = -28 + 44. Suppose a*g - 12*g = 20. Factor -76*f**2 + 72*f**3 + 2*f**g + 44*f + 10*f - 20*f**4 - 32*f**2.
2*f*(f - 3)**3*(f - 1)
Let l(q) be the first derivative of q**6/30 - 7*q**5/15 - 3*q**4 + 10*q**2 - 2*q + 48. Let x(f) be the second derivative of l(f). Factor x(y).
4*y*(y - 9)*(y + 2)
Let k(p) be the third derivative of -p**5/570 - 317*p**4/228 + 638*p**3/57 - p**2 - 667*p + 1. Factor k(x).
-2*(x - 2)*(x + 319)/19
Suppose q - 4*q + a + 3035 = 0, -2*q + a = -2023. Solve -3*y**4 + 120*y**3 + 139*y + 7*y*