 + 2820. Let k(w) = 0. Calculate w.
-9, -3, -2
Let s(g) be the third derivative of -g**6/600 - 23*g**5/300 - 3*g**4/4 + 2*g**2 + 387*g. Factor s(f).
-f*(f + 5)*(f + 18)/5
Let j be (-4)/49*((-4 - 29/(-10)) + (-96)/40). Factor -j*d**2 + 26/7*d + 4.
-2*(d - 14)*(d + 1)/7
Let p(k) be the third derivative of 1/720*k**6 - 5/144*k**4 - 1/12*k**3 - 62*k**2 + 0 - 1/360*k**5 + 0*k. Determine i, given that p(i) = 0.
-1, 3
Let i(x) = 7*x**5 + 7*x**4 + x**3 - 87*x**2 - 6*x + 18. Let z(u) = -6*u**5 - 7*u**4 + 85*u**2 + 5*u - 15. Let c(f) = 5*i(f) + 6*z(f). Factor c(r).
-r**2*(r - 3)*(r + 5)**2
Let r = -450010 + 450892. Suppose -42*k - r - 1/2*k**2 = 0. Calculate k.
-42
Let l = -70 + 492/7. Let f = -9001 + 9003. Factor -6/7*j + 20/7 - l*j**f.
-2*(j - 2)*(j + 5)/7
Factor 21/4*x - 1/4*x**2 + 11/2.
-(x - 22)*(x + 1)/4
Let d(k) be the first derivative of -3*k**4/16 + 39*k**3/2 - 1491*k**2/8 + 4900. Factor d(v).
-3*v*(v - 71)*(v - 7)/4
Let m(v) = 5*v**2 - 409*v - 705. Let c(h) = -7*h**2 + 613*h + 1064. Let b(d) = 7*c(d) + 10*m(d). Factor b(p).
(p + 2)*(p + 199)
Suppose -s - 31 = 72. Let b = 104 + s. Factor 66*h**2 - 8*h - 64*h**2 + 9 - b.
2*(h - 2)**2
Let l(f) be the third derivative of f**6/420 - 11*f**5/210 + 8*f**4/21 - 4*f**3/3 - 1401*f**2. Solve l(h) = 0.
2, 7
Let x be (-2111928)/(-10920) - 1/(-5). Determine o so that 0 - 2/5*o**3 - x*o + 88/5*o**2 = 0.
0, 22
Let b be -1 - -9 - (-437529)/(-61404). Let h = b + -3/172. Determine r so that 0 + 2/7*r - h*r**2 = 0.
0, 1/3
Factor 0 + 0*n + 176/5*n**3 - 1/5*n**4 + 0*n**2.
-n**3*(n - 176)/5
Factor -369*o**2 - 12/7 + 1740/7*o.
-3*(3*o - 2)*(287*o - 2)/7
Let x(l) = l**3 - 12*l**2 - 2*l - 110. Let b be x(16). Let t = 4411/5 - b. Find g, given that 0 + 2/5*g - t*g**3 + 1/5*g**2 = 0.
-1, 0, 2
Suppose -6*d + 15 = 3. Factor 14*t**2 + 12*t - 28*t**2 + 6*t**2 + 11*t**d.
3*t*(t + 4)
Let d(v) be the first derivative of -72 + 1/5*v**5 + 16*v + 2*v**2 + 1/4*v**4 - 4*v**3. Factor d(y).
(y - 2)**2*(y + 1)*(y + 4)
Factor 0 + 525/2*q + 3/2*q**2.
3*q*(q + 175)/2
Factor 121565 + 190*w**2 - 1551*w - 188*w**2 - 1297*w + 892323.
2*(w - 712)**2
Let w be (-4)/56*(16 + 280/(-13 + -1)). Factor -50/7*r**2 - w + 20/7*r.
-2*(5*r - 1)**2/7
Let x(m) = m**3 - 5*m**2 + 5*m - 6. Let r be x(3). Let z be 1 - (-1)/(-1) - r. Factor 15*k**2 - 2*k**3 - 2*k - z*k**2 - 2*k.
-2*k*(k - 2)*(k - 1)
Factor -320 - 4/5*m**2 - 32*m.
-4*(m + 20)**2/5
Suppose 0 = 186*h - 147 - 30 - 252 + 57. Factor -81/8*n - 3/8*n**3 - 81/8 - 27/8*n**h.
-3*(n + 3)**3/8
Let s = 1742 + -1125. Suppose s = 6*q + 599. Factor 0 + 0*n**2 - 2/3*n + 2/3*n**q.
2*n*(n - 1)*(n + 1)/3
Factor -11*b**3 - 2*b**2 - 122*b + 47*b - 9*b**4 + 75*b.
-b**2*(b + 1)*(9*b + 2)
Factor 976/5 + 104/5*j**2 + 1082/5*j - 2/5*j**3.
-2*(j - 61)*(j + 1)*(j + 8)/5
Let i be -1 - 1/(-2)*2. Let a be 13 - (i/(-4) + 4). Let 5 + a*u**4 - 10*u**3 + 10*u - 7*u**4 - 7*u**4 = 0. Calculate u.
-1, 1
Let d(f) be the second derivative of 1/28*f**7 + 0*f**2 - 5/4*f**4 + 0*f**3 - 1/10*f**6 + 52*f + 0 - 39/40*f**5. Find s, given that d(s) = 0.
-2, -1, 0, 5
Let s(x) = -x**2 + 9037*x - 9059*x - 41 - 12. Let u be s(-19). Suppose 22/7*i**2 + 12/7*i + 2/7*i**u + 0 + 12/7*i**3 = 0. Calculate i.
-3, -2, -1, 0
Suppose -47*m - 4*m = -204. Suppose -d = -5*d - 3*a + 57, 0 = -4*d - a + 51. Factor -4*x**2 - 10*x**2 + 14*x**2 - m*x**5 + d*x**3 - 8*x**4.
-4*x**3*(x - 1)*(x + 3)
Let v(h) be the second derivative of h**8/63840 - h**7/23940 - h**6/3420 - h**4 - 2*h**3/3 + 152*h. Let q(p) be the third derivative of v(p). Factor q(s).
2*s*(s - 2)*(s + 1)/19
Let o(h) = h**3 + 9*h**2 + 10*h + 18. Suppose 0 - 56 = 7*j. Let s be o(j). Factor -14*k**2 + 8*k**s + 9*k**2 + 12*k.
3*k*(k + 4)
Let g(p) be the third derivative of -p**5/360 - 31*p**4/144 - 29*p**3/18 - 71*p**2 + 3. Suppose g(y) = 0. What is y?
-29, -2
Factor 284/5*u**2 + 3920 - 2/5*u**3 - 2072*u.
-2*(u - 70)**2*(u - 2)/5
Suppose -5*n = -4*n - 2, n + 2003 = -5*o. Let q = -397 - o. Determine i, given that 16/7 + 88/7*i**3 - 15/7*i**q + 96/7*i - 24*i**2 = 0.
-2/15, 2
Let b(a) be the first derivative of -a**6/2 - 201*a**5/5 - 4737*a**4/4 - 14805*a**3 - 63504*a**2 - 111132*a - 1873. Find w such that b(w) = 0.
-21, -2
Let o(r) be the first derivative of 63*r**5/5 - 69*r**4/2 + 8*r**3 - 1573. Determine n so that o(n) = 0.
0, 4/21, 2
Let g(r) be the third derivative of -8/15*r**3 + 11/75*r**6 - 28/75*r**5 - 16/525*r**7 + 1/420*r**8 + 17/30*r**4 - 7*r**2 - 1 + 0*r. Factor g(l).
4*(l - 4)*(l - 1)**4/5
Let s(o) be the third derivative of o**8/10080 - o**7/630 - o**6/72 - o**5/20 - o**3/2 - 68*o**2. Let g(a) be the third derivative of s(a). Factor g(z).
2*(z - 5)*(z + 1)
Solve -40/3*c**2 + 192 + 72*c - 2/3*c**3 = 0.
-24, -2, 6
Suppose 3*q + q + 4*x - 64 = 0, 2*x = 2. Let a(h) be the first derivative of -5/9*h**3 - 5/3*h**2 + q - 5/3*h. Factor a(l).
-5*(l + 1)**2/3
Solve -1/5*q**4 - 1445*q**2 + 0*q + 34*q**3 + 0 = 0.
0, 85
Let x(o) = -38*o**3 + 2*o**2 + 53*o + 43. Let p(t) = 31*t**3 - t**2 - 52*t - 44. Let h(q) = 5*p(q) + 4*x(q). Determine i, given that h(i) = 0.
-4, -1, 4
What is q in -401*q**2 + 298 + 4*q**4 - 1153*q**2 - 7*q**4 + 295 + 1560*q - 1560*q**3 + 964 = 0?
-519, -1, 1
Suppose -27 = -3*z + 4*u + 1, 4*z + 4 = -5*u. Suppose 0 = z*t + 8*t - 36. Factor -51*i**3 + 4*i**4 + 0*i**4 + 49*i**t.
2*i**3*(2*i - 1)
Let p(y) = -13 - 2 - 3 - 6 - 2*y. Let f be p(-14). Factor -6*b**3 + 6*b + b**4 + 13*b**3 - 9*b**2 - b - 1 - 3*b**f.
-(b - 1)**3*(2*b - 1)
Let k(q) = 13*q**3 - 3320*q**2 + 1279*q - 1017. Let n be k(255). Factor 3072/5 - 4464/5*h**2 + 11136/5*h + 114*h**n - 24/5*h**4.
-6*(h - 8)**3*(4*h + 1)/5
Factor 4389/2*u - 1/2*u**3 + 2193/2*u**2 + 2195/2.
-(u - 2195)*(u + 1)**2/2
Let k be (143/52 - 14)*8/(-6). Suppose -78 + 93 = k*c. Factor -11/2*x**3 - 17/4*x - 1/4*x**5 - c - 7*x**2 - 2*x**4.
-(x + 1)**4*(x + 4)/4
Let p(y) be the first derivative of -2*y**7/105 - y**6/30 + y**5/15 + y**4/6 - y**2/2 + 4*y - 10. Let x(s) be the second derivative of p(s). Factor x(d).
-4*d*(d - 1)*(d + 1)**2
Let z = -202447/16 - -12653. Let x(l) be the third derivative of 1/40*l**5 + z*l**4 - 1/4*l**3 + 15*l**2 + 0 + 0*l - 1/80*l**6. Suppose x(v) = 0. Calculate v.
-1, 1
Let t(h) be the first derivative of h**4/8 - 3*h**3/4 - 57*h - 30. Let n(a) be the first derivative of t(a). Factor n(b).
3*b*(b - 3)/2
Suppose 873412*y = 873564*y. What is o in 1/2*o**4 + y + 99/2*o**2 + 21/2*o**3 - 121/2*o = 0?
-11, 0, 1
Let f be -22*(-35)/77 + 46/(-6). Let b(z) be the first derivative of 8*z**2 - 31 + f*z**3 + 1/4*z**4 + 12*z. Determine a, given that b(a) = 0.
-3, -2
Let m(s) be the third derivative of -s**5/120 - 47*s**4/16 + 125*s**2 - 2. Factor m(r).
-r*(r + 141)/2
Suppose 2*g - 762 = -2*l - 0*l, 3*g = l - 365. Let 5*w**2 - w - 5*w**3 + 370 + 10*w**3 - 19*w + l - 767 = 0. Calculate w.
-2, -1, 2
Let q(y) = -y**2 + 9674*y + 193880. Let c be q(-20). Find r, given that 1/2*r**4 + c - 8*r**2 - 6*r - 3/2*r**3 = 0.
-2, -1, 0, 6
Suppose 316 + 43*d + 63*d + 120 + 116*d + 244*d**2 - 242*d**2 = 0. Calculate d.
-109, -2
Let z = 2105 - 18941/9. Let j(v) be the third derivative of z*v**3 - 1/6*v**4 - 1/360*v**6 + 0 + 1/30*v**5 - 10*v**2 + 0*v. Factor j(u).
-(u - 2)**3/3
Let s = 23 + -17. Suppose -s = -c - 2*c. Factor 21*y + 4 - 10 - 3*y**3 + 6*y**4 - c*y**3 + 2*y**3 - 18*y**2.
3*(y - 1)**2*(y + 2)*(2*y - 1)
Let d = 230725 + -1615072/7. Factor 24/7 - 3*u - d*u**2.
-3*(u - 1)*(u + 8)/7
Let -32/3 + 35/3*y**3 - 94*y**2 + 192*y = 0. Calculate y.
2/35, 4
Let t be 4/(-18) - (20 - (-4004)/(-198)). Let x(f) be the third derivative of -7/20*f**5 + t*f**3 + 0 + 0*f + 14*f**2 - 1/4*f**4. Factor x(p).
-3*p*(7*p + 2)
Suppose -42 + 56 = 7*b. Let k be 23 + -21 + 2/b. Factor 2/7*p - 2/7*p**k - 6/7 + 6/7*p**2.
-2*(p - 3)*(p - 1)*(p + 1)/7
Let b(c) be the third derivative of -3*c**2 - 1/6*c**4 + 0*c - 5 + 0*c**3 + 1/5*c**5. Factor b(z).
4*z*(3*z - 1)
Suppose 12*x**4 - 14*x**4 + 73770*x**3 - 178*x**2 + 248*x - 73838*x**3 = 0. Calculate x.
-31, -4, 0, 1
Let i(t) be the third derivative of t**7/105 - 203*t**6/30 + 40801*t**5/30 + 6902*t**4 + 13872*t**3 + 2*t**2 - 138. Factor i(r).
2*(r - 204)**2*(r + 1)**2
Suppose -4*t - 5*a + 12045 = 0, 5*t - 15005 = -0*t + 4*a. Let -56 - 14*v**2 + 188*v + 12*v**2 - t - 1357 = 0. What is v?
47
Find p, given that -2360*p + 2370 + 5/2*p**3 + 1165