 9)*(c + 23)
Factor -3*f**3 + 48*f**2 + 465*f + 414.
-3*(f - 23)*(f + 1)*(f + 6)
Factor g**2/5 + 178*g/5 + 7921/5.
(g + 89)**2/5
Factor -2*d**2/5 + 96*d/5 - 1152/5.
-2*(d - 24)**2/5
Suppose 3*s**4 + 198*s**3 + 2379*s**2 - 29304*s + 65712 = 0. What is s?
-37, 4
Determine s so that -2*s**5 - 1910*s**4 + 1918*s**3 + 5726*s**2 - 9556*s + 3824 = 0.
-956, -2, 1
Factor 2*d**5 + 6*d**4 + 4*d**3 - 4*d**2 - 6*d - 2.
2*(d - 1)*(d + 1)**4
Suppose -6*r**5/17 - 74*r**4/17 - 330*r**3/17 - 654*r**2/17 - 32*r - 120/17 = 0. Calculate r.
-5, -3, -2, -1/3
Solve 4*c**4 - 52*c**3 - 216*c**2 + 352*c + 512 = 0.
-4, -1, 2, 16
Factor r**3 + 794*r**2 + 156009*r - 636804.
(r - 4)*(r + 399)**2
Factor 3*i**3 - 32*i**2 - 153*i + 1782.
(i - 9)**2*(3*i + 22)
Factor -4*m**4 + 96*m**3 + 36*m**2 - 864*m.
-4*m*(m - 24)*(m - 3)*(m + 3)
Let 2*h**4 - 78*h**3 - 442*h**2 + 78*h + 440 = 0. What is h?
-5, -1, 1, 44
Suppose 5*a**5/2 + 45*a**4/2 + 60*a**3 + 50*a**2 = 0. Calculate a.
-5, -2, 0
Solve -3*p**4/7 - 36*p**3/7 - 138*p**2/7 - 180*p/7 - 75/7 = 0 for p.
-5, -1
Determine q, given that -3*q**3/2 - 45*q**2/2 - 189*q/2 - 147/2 = 0.
-7, -1
Let 3*p**3 - 348*p**2 + 687*p - 342 = 0. What is p?
1, 114
Find c such that -6*c**3/11 + 28176*c**2/11 - 33078624*c/11 = 0.
0, 2348
Factor -s**2/3 - 1232*s/3 - 379456/3.
-(s + 616)**2/3
Factor -2*p**5/17 - 12*p**4/17 - 26*p**3/17 - 24*p**2/17 - 8*p/17.
-2*p*(p + 1)**2*(p + 2)**2/17
Find y such that -4*y**3 + 16*y**2 - 4*y - 24 = 0.
-1, 2, 3
Factor f**3/6 - 65*f**2/6 + 127*f/6 - 21/2.
(f - 63)*(f - 1)**2/6
Determine y, given that y**4 - 52*y**3 + 886*y**2 - 5460*y + 11025 = 0.
5, 21
Let -7*j**5 + 19*j**4 - 15*j**3 + j**2 + 2*j = 0. Calculate j.
-2/7, 0, 1
Factor 3*o**3 - 129*o**2 + 108*o + 756.
3*(o - 42)*(o - 3)*(o + 2)
Determine u, given that 11907*u**2/2 - 378*u + 6 = 0.
2/63
Let 2*v**5/3 + 700*v**4/3 + 82130*v**3/3 + 3283960*v**2/3 + 6324320*v/3 + 3121792/3 = 0. Calculate v.
-116, -1
Determine o so that 21*o**3 + 3837*o**2 - 16806*o + 4488 = 0.
-187, 2/7, 4
What is u in -2*u**5/21 + 320*u**4/21 - 13112*u**3/21 + 24644*u**2/21 + 13114*u/21 - 24964/21 = 0?
-1, 1, 2, 79
Let 4*t**4/7 + 208*t**3/7 + 600*t**2/7 + 592*t/7 + 28 = 0. What is t?
-49, -1
Factor -5*s**2 + 16380*s - 13415220.
-5*(s - 1638)**2
Factor s**2/8 + 379*s/8 - 573/4.
(s - 3)*(s + 382)/8
Determine j, given that 3*j**3 + 18*j**2 - 57*j - 252 = 0.
-7, -3, 4
Let 22*b**3 - 26*b**2 - 128*b + 24 = 0. Calculate b.
-2, 2/11, 3
Let -2*p**2 - 18*p - 28 = 0. What is p?
-7, -2
Factor -82*n**2/3 + 478*n/3 + 28.
-2*(n - 6)*(41*n + 7)/3
Factor -3*p**2 + 246*p + 1032.
-3*(p - 86)*(p + 4)
Factor k**2/2 - 245*k/2.
k*(k - 245)/2
Factor -242*b**3 + 207724*b**2 - 75512*b + 6864.
-2*(b - 858)*(11*b - 2)**2
Factor -4*i**3 - 4*i**2 + 48*i.
-4*i*(i - 3)*(i + 4)
Find n, given that -n**3 - 15*n**2 - 48*n + 64 = 0.
-8, 1
Suppose 8*w**5/11 - 30*w**4/11 + 32*w**3/11 - 6*w**2/11 - 4*w/11 = 0. Calculate w.
-1/4, 0, 1, 2
Find d, given that 5*d**4 - 60*d**3 + 165*d**2 - 10*d - 240 = 0.
-1, 2, 3, 8
Factor -3*l**4/8 - 63*l**3/8 - 27*l**2 - 51*l/2.
-3*l*(l + 2)**2*(l + 17)/8
Factor y**3/6 + 149*y**2/6 + 2320*y/3 - 35200/3.
(y - 11)*(y + 80)**2/6
Find r such that 3*r**5 + 3*r**4 - 39*r**3 - 3*r**2 + 36*r = 0.
-4, -1, 0, 1, 3
Factor 5*l**3 + 1740*l**2 - 14160*l + 28480.
5*(l - 4)**2*(l + 356)
Let 3*i**4 + 25*i**3 + 6*i**2 - 16*i = 0. Calculate i.
-8, -1, 0, 2/3
Solve -55*r**5 + 65*r**4 + 45*r**3 - 65*r**2 + 10*r = 0 for r.
-1, 0, 2/11, 1
Factor -2*k**5 + 36*k**3 - 162*k.
-2*k*(k - 3)**2*(k + 3)**2
Let o**2/7 + 24*o/7 + 80/7 = 0. What is o?
-20, -4
Solve -2*l**3 - 682*l**2 - 5360*l - 10656 = 0.
-333, -4
Factor 5*k**2 - 255*k - 810.
5*(k - 54)*(k + 3)
Suppose -8*x**5 - 1852*x**4 - 106700*x**3 + 58472*x**2 + 270976*x + 107648 = 0. Calculate x.
-116, -1, -1/2, 2
What is a in -5*a**2 + 290*a - 2925 = 0?
13, 45
Let -4*d**2 - 1440*d - 129600 = 0. Calculate d.
-180
Let 2*a**4 - 16*a**3 - 6*a**2 + 44*a + 32 = 0. Calculate a.
-1, 2, 8
Determine y, given that 9*y**4/5 + 6*y**3 + 27*y**2/5 + 6*y/5 = 0.
-2, -1, -1/3, 0
Solve u**3 - 7*u**2 + 10*u = 0 for u.
0, 2, 5
Solve 8*b**2/13 + 1282*b - 12504/13 = 0 for b.
-2084, 3/4
Let 2*r**2 - 988*r + 986 = 0. What is r?
1, 493
Determine b, given that b**4/7 - 5*b**3/7 + 9*b**2/7 - b + 2/7 = 0.
1, 2
Suppose -x**2/5 + 102*x/5 = 0. What is x?
0, 102
Find k, given that k**3/2 + 557*k**2/2 + 38920*k + 38642 = 0.
-278, -1
Solve -192*t**5 + 4080*t**4 + 3228*t**3 - 1311*t**2 - 201*t + 66 = 0 for t.
-1, -1/4, 1/4, 22
Suppose 3*u**2/4 - 900*u + 270000 = 0. Calculate u.
600
Find d such that -3*d**4/4 - 357*d**3/2 - 43191*d**2/4 - 21063*d - 10443 = 0.
-118, -1
Solve 4*r**4 + 148*r**3 - 156*r**2 - 148*r + 152 = 0 for r.
-38, -1, 1
Factor 49*q**5 - 182*q**4 - 55*q**3 - 4*q**2.
q**2*(q - 4)*(7*q + 1)**2
Factor 4*r**2 - 612*r - 5832.
4*(r - 162)*(r + 9)
Let -u**3/4 + 78*u**2 - 6084*u = 0. Calculate u.
0, 156
Factor 2*u**4 - 14*u**3 + 20*u**2.
2*u**2*(u - 5)*(u - 2)
Factor 2*r**5/7 + 16*r**4/7 + 26*r**3/7 + 12*r**2/7.
2*r**2*(r + 1)**2*(r + 6)/7
What is d in -d**4/4 - 61*d**3/4 - 479*d**2/2 - 195*d + 450 = 0?
-30, -2, 1
Suppose 4*f**3 - 96*f**2 - 100*f = 0. Calculate f.
-1, 0, 25
Solve 809*d**2/6 - d/3 = 0 for d.
0, 2/809
Suppose -b**5/2 - b**4/2 + 3*b**3 + 2*b**2 - 4*b = 0. Calculate b.
-2, 0, 1, 2
Solve -2*c**5 - 23*c**4 + 22*c**3 + 667*c**2 + 304*c - 320 = 0 for c.
-8, -1, 1/2, 5
Solve -3*z**2 + 9*z = 0 for z.
0, 3
Let l**5/3 + 35*l**4/3 - 38*l**3 + 4*l**2/3 + 152*l/3 = 0. What is l?
-38, -1, 0, 2
Factor 5*l**5 - 25*l**4 + 45*l**3 - 35*l**2 + 10*l.
5*l*(l - 2)*(l - 1)**3
Find h such that -2*h**2 - 2704*h - 2702 = 0.
-1351, -1
Factor -v**5 + 3*v**4 - 2*v**3 - 2*v**2 + 3*v - 1.
-(v - 1)**4*(v + 1)
Determine j so that 5*j**5 - 55*j**4 + 50*j**3 + 530*j**2 + 665*j + 245 = 0.
-1, 7
Solve -2*b**3 - 58*b**2 - 550*b - 1694 = 0 for b.
-11, -7
Factor -g**4 - 62*g**3.
-g**3*(g + 62)
Suppose -5*n**2 - 4335*n + 8690 = 0. Calculate n.
-869, 2
What is f in 2*f**3/3 + 10*f**2 - 146*f/3 + 38 = 0?
-19, 1, 3
Factor d**4 - 10*d**3 + 17*d**2 - 8*d.
d*(d - 8)*(d - 1)**2
Solve 2*a**3/5 + 104*a**2/5 + 40*a = 0.
-50, -2, 0
Find y, given that -2*y**3/11 - 4*y**2/11 + 610*y/11 + 612/11 = 0.
-18, -1, 17
Factor 2*q**2 - 164*q + 3362.
2*(q - 41)**2
Factor b**5/12 + b**4/4 + b**3/6 - b**2/6 - b/4 - 1/12.
(b - 1)*(b + 1)**4/12
Solve 3*f**4 - 42*f**3 - 99*f**2 + 42*f + 96 = 0 for f.
-2, -1, 1, 16
Factor 10*a**3/7 - 62*a**2/7 + 62*a/7 - 10/7.
2*(a - 5)*(a - 1)*(5*a - 1)/7
Factor -5*s**4 + 10*s**3 - 10*s + 5.
-5*(s - 1)**3*(s + 1)
Determine y so that y**4 + 18*y**3 + 67*y**2 - 126*y - 176 = 0.
-11, -8, -1, 2
Suppose -4*w**3 + 100*w**2 - 248*w - 352 = 0. Calculate w.
-1, 4, 22
What is a in -3*a**2/5 + 21*a/5 + 294/5 = 0?
-7, 14
Factor 10*m**3/13 - 56*m**2/13 - 184*m/13 - 64/13.
2*(m - 8)*(m + 2)*(5*m + 2)/13
Find n, given that -n**4/2 - 13*n**3 + 175*n**2/2 + 3100*n + 3000 = 0.
-20, -1, 15
Solve 2*q**2 + 6*q - 36 = 0 for q.
-6, 3
Factor -k**2/7 - 4*k/7 - 3/7.
-(k + 1)*(k + 3)/7
Let -2*s**4/7 - 188*s**3/7 - 366*s**2/7 + 188*s/7 + 368/7 = 0. What is s?
-92, -2, -1, 1
Factor -i**3/8 + 177*i**2/8 - 990*i + 968.
-(i - 88)**2*(i - 1)/8
Determine w so that 4*w**5/13 + 10*w**4/13 - 56*w**3/13 - 174*w**2/13 - 72*w/13 = 0.
-3, -1/2, 0, 4
Factor 5*x**3 - 2040*x**2 + 208080*x.
5*x*(x - 204)**2
Factor 8*k**2 - 254*k + 186.
2*(k - 31)*(4*k - 3)
What is f in -3*f**2/4 + 93*f/2 - 183/4 = 0?
1, 61
Suppose -m**5 + 4*m**4 - 3*m**3 = 0. Calculate m.
0, 1, 3
Suppose -5*p**5/9 - 13*p**4/9 + 11*p**3/9 + 13*p**2/9 - 2*p/3 = 0. What is p?
-3, -1, 0, 2/5, 1
What is o in -2*o**3/15 - 8*o**2/15 - 8*o/15 = 0?
-2, 0
Solve 4*k**4 - 484*k**3 + 4936*k**2 - 10416*k - 15840 = 0.
-1, 6, 110
Let -2*u**3/11 - 2*u**2 = 0. What is u?
-11, 0
Determine b so that 3*b**2 - 8100*b + 5467500 = 0.
1350
Determine c, given that -2*c**2/7 - 92*c/7 = 0.
-46, 0
Solve 2*l**4/3 + 32*l**3/3 + 170*l**2/3 + 100*l = 0.
-6, -5, 0
Factor 12*q**3 - 728*q**2 - 3420*q + 2600.
4*(q - 65)*(q + 5)*(3*q - 2)
Factor p**3/2 - 30*p**2 + 450*p.
p*(p - 30)**2/2
What is z in -6*z**4/13 + 8*z**3 + 6*z**2 - 8*z - 72/13 = 0?
-1, -2/3, 1, 18
Factor 3*h**2 + 7986*h + 5314683.
3*(h + 1331)**2
Factor 2*a**3 + 4*a**2 - 26*a + 20.
2*(a - 2)*(a - 1)*(a + 5)
Find b, given that 2*b**3 + 26*b**2 - 96*b = 0.
-16, 0, 3
Factor -