he third derivative of -f**8/16 - 23*f**7/70 + 81*f**6/20 - 37*f**5/5 - 7*f**4 - 2244*f**2. Find o, given that a(o) = 0.
-7, -2/7, 0, 2
Let q(j) = -j**4 - 2*j**3 - 7*j**2 - 2*j. Let u(v) = 3*v**4 - 42*v**3 - 261*v**2 + 9668*v + 9900. Let s(w) = 4*q(w) + u(w). Determine a so that s(a) = 0.
-30, -1, 11
Let c(s) be the third derivative of 11/15*s**3 + 0 - 23/120*s**4 + 40*s**2 + 0*s + 1/300*s**5. What is j in c(j) = 0?
1, 22
Let u(a) = 4073*a - 52946. Let r be u(13). Factor -12/5 + 24/5*x - r*x**2 + 3/5*x**3.
3*(x - 2)**2*(x - 1)/5
Let w(t) be the first derivative of -5070*t**5 + 18915*t**4 - 33021*t**3/2 - 1551*t**2/4 - 3*t - 2388. Find d such that w(d) = 0.
-1/130, 1, 2
Let b(t) be the third derivative of t**6/24 + 83*t**5/12 - 5*t**4/24 - 415*t**3/6 - 102*t**2 - 5*t + 1. Factor b(a).
5*(a - 1)*(a + 1)*(a + 83)
Let t = -96655 - -96657. Let -12/7*h + 82/7*h**t - 26/7*h**3 + 0 = 0. Calculate h.
0, 2/13, 3
Let v(i) = -i**3 + i**2 - i + 1. Let u be 60/(-540)*(3 - -6). Let l(y) = 9*y + 61*y - 75*y**2 - 22 - 3 - 30*y**3. Let q(a) = u*l(a) - 15*v(a). Factor q(h).
5*(h + 2)*(3*h - 1)**2
Factor 199/5*o**2 - 134/5*o - 1/5*o**4 - 64/5*o**3 + 0.
-o*(o - 2)*(o - 1)*(o + 67)/5
Let s(u) be the first derivative of 5*u**6/6 + 7*u**5 + 5*u**4 - 20*u**3 - 959. Let s(t) = 0. What is t?
-6, -2, 0, 1
Suppose -4*t**5 - 5*t**5 - 275*t**3 + 155*t + 14*t**5 - 631*t - 604*t - 1050*t**2 = 0. What is t?
-4, -3, -2, 0, 9
Let y(j) be the third derivative of j**8/336 - j**6/72 + 8*j**3/3 - 144*j**2. Let f(w) be the first derivative of y(w). Factor f(k).
5*k**2*(k - 1)*(k + 1)
Let y(h) be the third derivative of -h**8/112 - h**7/5 - 21*h**6/20 + 11*h**5/5 + 163*h**4/8 + 45*h**3 + 2*h**2 - 109. Find u such that y(u) = 0.
-9, -5, -1, 2
Let r(n) be the third derivative of 0*n + 2*n**2 - 2 - 1/40*n**6 + 1/2*n**4 + 8*n**3 - 1/5*n**5. Let r(g) = 0. Calculate g.
-4, -2, 2
Let r(i) be the second derivative of -i**7/21 - 827*i**6/15 - 226867*i**5/10 - 20336509*i**4/6 + 84094984*i**3/3 - 85015732*i**2 - 671*i. Factor r(x).
-2*(x - 2)**2*(x + 277)**3
Let g be (4 - (-147)/(-35))/((-6)/(-176)) + 6. Solve -g*c**4 - 14/15*c + 26/15*c**2 - 2/3*c**3 + 0 = 0.
-7, 0, 1
Let h(n) be the first derivative of 0*n + 91 - 605/2*n**2 - n**5 - 715/3*n**3 - 115/4*n**4. Factor h(o).
-5*o*(o + 1)*(o + 11)**2
Factor 3/4*h**3 + 247/2*h**2 - 165/4*h + 0.
h*(h + 165)*(3*h - 1)/4
Let b(y) be the first derivative of y**3/9 + 137*y**2 + 56307*y - 2697. Factor b(t).
(t + 411)**2/3
Let i(l) be the third derivative of -1/96*l**4 - 6*l**2 - 1 + 0*l + 1/12*l**3 - 1/240*l**5. Let i(t) = 0. Calculate t.
-2, 1
Solve 176/9*l + 226*l**4 + 0 + 18*l**5 + 2636/9*l**3 - 1480/9*l**2 = 0.
-11, -2, 0, 2/9
Let n be (-12)/(-10)*100/30. Determine q so that 57*q**3 + 8 + 72*q - 102*q**n - 205*q**3 + 273*q**2 - 255*q**2 = 0.
-1, -2/17, 2/3
Factor -178*f + 81/2*f**4 - 1013/2*f**2 - 18 - 306*f**3.
(f - 9)*(f + 1)*(9*f + 2)**2/2
Let v(m) be the first derivative of -64 - 35*m**2 + 5/3*m**3 + 245*m. Factor v(r).
5*(r - 7)**2
Let r(f) = 2*f**2 + 44*f - 40. Let v be r(-23). Solve -v*x**3 + 1558*x**2 - 4*x - 1554*x**2 + 5*x**3 = 0 for x.
0, 2
Let f be (-1)/(-9) + -36 + 15869/441. Let m(w) be the first derivative of -3/7*w**2 - f*w**3 + 8/7*w + 7. Find u such that m(u) = 0.
-4, 1
Let x = -422698 + 422706. What is s in -x + 2/9*s**3 - 26/9*s**2 + 32/3*s = 0?
1, 6
Let r be (1/(-10))/(-40 + 49 - (-111)/(-12)). Factor 0 + 9/5*u**3 + 1/5*u**5 - u**4 + r*u - 7/5*u**2.
u*(u - 2)*(u - 1)**3/5
What is t in -1/5*t**2 - 896/5 - 78/5*t = 0?
-64, -14
Let p be (((-1)/3)/((-26)/(-6)))/((-2096)/6812). Factor -p*j**2 - 3/4*j - 1/2.
-(j + 1)*(j + 2)/4
Let y(f) be the third derivative of -f**9/25704 - f**8/4760 + f**6/765 + 23*f**3/2 - 3*f**2 + 7*f. Let k(g) be the first derivative of y(g). Factor k(l).
-2*l**2*(l - 1)*(l + 2)**2/17
Let p(r) = -4*r**2 - 4. Let j(f) = -2*f**2 + f - 5. Suppose -3*m + 16 = -i, -3*i - 32 = 2*i - 3*m. Let x(t) = i*j(t) + 3*p(t). Determine n so that x(n) = 0.
-2, 1
Let z(u) be the second derivative of -u**7/6300 + u**6/300 - 3*u**5/100 + 17*u**4/12 - 2*u - 13. Let t(h) be the third derivative of z(h). Factor t(i).
-2*(i - 3)**2/5
What is p in 906*p + 277*p**3 + 414*p + 227*p**2 - 52*p**2 - 272*p**3 = 0?
-24, -11, 0
Suppose 5*u + 134 = -5*l + 109, -3*u + 4*l + 48 = 0. Factor -4/9 - 4/9*n**2 + 8/9*n**3 - 10/9*n + 2/9*n**5 + 8/9*n**u.
2*(n - 1)*(n + 1)**3*(n + 2)/9
Let x(c) = -12*c - 20. Let j be x(-2). Suppose 5*g = 4*d - 28, j*g + 14 + 2 = 0. Factor 0*f - 4 + 115*f**2 - 56*f**2 - 57*f**d + 2*f.
2*(f - 1)*(f + 2)
Suppose -y + 28 = 5*m - 212, -y + 256 = m. Let -y*r**4 + 64*r**4 + 392*r**3 + 16 - 27*r - 180*r**2 - 8*r + 3*r = 0. Calculate r.
-2/7, 2/7, 1
Factor -13*k**2 + 59*k - 260 + 37*k**2 - 278 - 4*k**3 + 425*k + 34.
-4*(k - 14)*(k - 1)*(k + 9)
Let w(y) be the first derivative of -y**7/840 - y**6/180 + y**5/40 + 67*y**3/3 - 61. Let g(i) be the third derivative of w(i). Let g(b) = 0. What is b?
-3, 0, 1
Let d be 51/(-187) - (-875)/2200. Find q, given that d*q**4 + 0 + 0*q**3 - 3/8*q**2 - 1/4*q = 0.
-1, 0, 2
Let -4/7*z**4 - 144/7*z**3 - 76*z**2 - 648/7*z - 256/7 = 0. What is z?
-32, -2, -1
Factor -10 - 229025*u**2 + 10 - 3*u**4 - 216007*u**2 - 416856*u**2 - 3216*u**3.
-3*u**2*(u + 536)**2
Let k = 782 - 781. Let a be k/(-10)*-38 + (-54)/18. Solve a*t**3 + 0 + 0*t + 12/5*t**2 = 0 for t.
-3, 0
Let a(z) = -17*z**4 - 41*z**3 - z**2 + 29*z + 6. Let w(m) = -185*m**4 - 10*m**2 + 216*m + 86 - 21 + 104*m - 450*m**3. Let p(c) = -65*a(c) + 6*w(c). Factor p(h).
-5*h*(h - 1)*(h + 1)*(h + 7)
Let p(q) be the third derivative of 0 - 48*q**2 + 7/180*q**6 + 0*q**3 + q + 1/270*q**5 - 1/54*q**4. Determine a, given that p(a) = 0.
-1/3, 0, 2/7
Let u(n) be the third derivative of n**6/780 - 5*n**5/78 - n**4/39 + 100*n**3/39 - 70*n**2 + 2*n + 2. Let u(f) = 0. Calculate f.
-2, 2, 25
Let h = -12143 + 12153. Factor 0 + 0*w + 0*w**2 + h*w**4 - 1/2*w**5 - 50*w**3.
-w**3*(w - 10)**2/2
Suppose -c = -5*g + g - 96, -2*c - 4*g = -192. Let p be (-8*24/(-18))/(2/3). Factor 4*k**4 + c*k**3 - 108*k**3 + 0*k**4 + p*k.
4*k*(k - 2)**2*(k + 1)
Let y(z) = -16*z**2 - 7*z + 9. Suppose 112*t - 97*t = -150. Let j(r) = -46*r**2 - 20*r + 26. Let i(v) = t*y(v) + 3*j(v). Suppose i(d) = 0. Calculate d.
-1, 6/11
Let u(w) be the third derivative of -9*w + 0 + 169/2*w**3 + 1/20*w**5 + 13/4*w**4 + 4*w**2. Suppose u(m) = 0. Calculate m.
-13
Let o(a) be the third derivative of a**7/6300 - 7*a**6/1800 + a**4/24 - 14*a**3/3 + 2*a**2 + 1. Let w(k) be the second derivative of o(k). Factor w(i).
2*i*(i - 7)/5
Let z = -240 + 243. Find c, given that -5 + 6*c + z*c**4 - 2*c**4 - 6*c**3 + 87*c**2 - 83*c**2 = 0.
-1, 1, 5
Let w(t) be the first derivative of t**6/2 + 6*t**5/5 - 225*t**4/4 - 400*t**3 - 750*t**2 - 3366. Suppose w(j) = 0. Calculate j.
-5, -2, 0, 10
Let l(z) be the third derivative of 0 + 2/5*z**6 - 4/21*z**7 + 0*z + 24/5*z**5 + 0*z**3 + 0*z**4 - 139*z**2 + 1/84*z**8. Suppose l(p) = 0. Calculate p.
-2, 0, 6
Let w(p) be the second derivative of -1/30*p**6 + 0*p**2 + 9/20*p**5 - 227*p + 0 + 7/4*p**4 + 11/6*p**3. Factor w(a).
-a*(a - 11)*(a + 1)**2
Let n be (21/98)/(-7 - 114/(-14)). Let x(a) be the second derivative of 0 + 16*a + 1/8*a**3 + 1/32*a**4 + n*a**2. Factor x(w).
3*(w + 1)**2/8
Let k(n) be the third derivative of n**5/20 + 7*n**4/4 + 20*n**3 - 364*n**2. Factor k(z).
3*(z + 4)*(z + 10)
Let d(y) = 9*y**3 + 1528*y**2 + 4581*y + 3046. Let f(j) = -8*j**3 - 1531*j**2 - 4582*j - 3047. Let u(t) = -3*d(t) - 4*f(t). Factor u(r).
5*(r + 1)*(r + 2)*(r + 305)
Let n(z) = 2*z**5 + z**4 - z**3 + 1. Let a(b) = 10*b**5 + 8*b**4 - 4*b**3 - 2*b**2 + 6. Let f(i) = 2*a(i) - 12*n(i). Find d, given that f(d) = 0.
-1, 0, 1
Let m(p) be the first derivative of 1/16*p**4 - 1/20*p**5 + 0*p + 0*p**2 + 80 + 1/6*p**3. Determine k so that m(k) = 0.
-1, 0, 2
Let m(c) = -6*c**2 - 178*c + 130. Let i(z) = 4*z - 7. Let n(t) = 4*i(t) + 2*m(t). Find o, given that n(o) = 0.
-29, 2/3
Let 1/4*k**2 - 31*k + 595/4 = 0. What is k?
5, 119
Let n(x) be the first derivative of -228/5*x**5 - 608/3*x**3 + 135 - 6*x**6 - 136*x**4 - 64*x - 160*x**2. Let n(r) = 0. What is r?
-2, -1, -2/3
Solve 21/4*w + 3/2 - 99/4*w**2 - 27/2*w**3 = 0.
-2, -1/6, 1/3
Let j(w) be the third derivative of -15*w**2 - 5/24*w**4 + 1/36*w**5 - 10/9*w**3 + 0 + 0*