.
-2, -1, 0, 2, 3
Find b, given that 3*b**5 + 96*b**4 + 693*b**3 = 0.
-21, -11, 0
Factor r**4 - r**3 - 12*r**2 - 4*r + 16.
(r - 4)*(r - 1)*(r + 2)**2
Find f such that -50*f**4/9 - 3280*f**3/9 + 1318*f**2/9 - 44*f/3 = 0.
-66, 0, 1/5
Factor 5*b**2 + 1830*b + 167445.
5*(b + 183)**2
What is v in -3*v**4 - 3*v**3 + 1224*v**2 + 9936*v = 0?
-12, 0, 23
Factor -4*z**2 - 220*z.
-4*z*(z + 55)
Factor -2*d**3/5 - 8*d**2/5 - 8*d/5.
-2*d*(d + 2)**2/5
Suppose -2*j**4/3 - 1144*j**3/21 - 642*j**2/7 - 68*j/3 + 320/21 = 0. What is j?
-80, -1, 2/7
Determine m, given that -795*m**3 - 2375*m**2 + 30*m = 0.
-3, 0, 2/159
Solve -286*o**3/19 + 294*o**2/19 - 8/19 = 0.
-2/13, 2/11, 1
Factor -4*g**2 - 5808*g - 2108304.
-4*(g + 726)**2
Solve -3*p**4/8 + 15*p**3/8 + 9*p**2/2 - 27*p/2 = 0.
-3, 0, 2, 6
Suppose -5*m**5 + 20*m**4 + 60*m**3 - 160*m**2 - 320*m = 0. Calculate m.
-2, 0, 4
Let -4*q**5 - 29*q**4 + 385*q**3 + 98*q**2 = 0. What is q?
-14, -1/4, 0, 7
Determine c, given that 44*c**5/5 - 52*c**4/5 - 344*c**3/5 + 592*c**2/5 - 96*c/5 = 0.
-3, 0, 2/11, 2
Suppose -16*v**5 - 444*v**4 - 2960*v**3 + 2560*v**2 + 12096*v - 3136 = 0. What is v?
-14, -2, 1/4, 2
Factor 85*t**2 + 165*t - 270.
5*(t + 3)*(17*t - 18)
Factor -f**4 + 81*f**3 + 691*f**2 + 1851*f + 1602.
-(f - 89)*(f + 2)*(f + 3)**2
Suppose -r**2 - 6*r - 5 = 0. Calculate r.
-5, -1
Solve -2*r**2/5 - 72*r - 3240 = 0 for r.
-90
Find u such that -u**4/3 + 22*u**3/3 - 97*u**2/3 - 88*u - 48 = 0.
-1, 12
Solve 406*s**3 - 30*s**2 - 4*s = 0 for s.
-2/29, 0, 1/7
Factor 2*i**3 - 20*i**2 + 42*i.
2*i*(i - 7)*(i - 3)
Find v such that -4*v**4 + 11*v**2 - 9*v + 2 = 0.
-2, 1/2, 1
Factor c**4 - 70*c**3 - c**2 + 70*c.
c*(c - 70)*(c - 1)*(c + 1)
Find r such that -15*r**3 - 126*r**2 - 48*r = 0.
-8, -2/5, 0
Factor -a**4 - 8*a**3 - 7*a**2.
-a**2*(a + 1)*(a + 7)
Determine g, given that g**4/9 + 2*g**3/9 + g**2/9 = 0.
-1, 0
Solve -3*c**5/5 + 9*c**4/5 + 69*c**3/5 + 99*c**2/5 + 42*c/5 = 0 for c.
-2, -1, 0, 7
What is k in -2*k**3/11 - 16*k**2/11 - 14*k/11 = 0?
-7, -1, 0
Find l such that 18*l**5 + 141*l**4 - 183*l**3 + 54*l**2 = 0.
-9, 0, 1/2, 2/3
Factor p**2/6 + 349*p/3 + 121801/6.
(p + 349)**2/6
Suppose -q**2 - 5*q + 374 = 0. What is q?
-22, 17
Find j, given that -100*j**4 + 1740*j**3 + 4976*j**2 + 4416*j + 1280 = 0.
-1, -4/5, 20
Factor -2*d**3 - 240*d**2 - 9600*d - 128000.
-2*(d + 40)**3
Factor -d**2/3 + 85*d/3 + 88.
-(d - 88)*(d + 3)/3
Factor z**4/7 - 390*z**3/7 + 37633*z**2/7 + 10920*z + 5488.
(z - 196)**2*(z + 1)**2/7
Determine q so that -q**5 - 21*q**4 - 13*q**3 + 141*q**2 + 14*q - 120 = 0.
-20, -3, -1, 1, 2
Determine y so that -2*y**3 - 156*y**2/5 - 486*y/5 + 44 = 0.
-11, -5, 2/5
Suppose n**3/4 + 63*n**2/2 + 182*n + 240 = 0. What is n?
-120, -4, -2
What is u in 5*u**5 - 3565*u**4 - 10725*u**3 - 10735*u**2 - 3580*u = 0?
-1, 0, 716
Factor z**2/5 + 14*z/5 + 9.
(z + 5)*(z + 9)/5
Factor -2*d**4/9 + 76*d**3 + 458*d**2/3 + 688*d/9.
-2*d*(d - 344)*(d + 1)**2/9
Let -18815*g**2 + 18805*g + 10 = 0. Calculate g.
-2/3763, 1
Determine m, given that 2*m**5/9 + 536*m**4/9 + 33148*m**3/9 - 368144*m**2/9 + 418390*m/3 - 154568 = 0.
-139, 3, 4
What is o in 4*o**5 - 944*o**4 - 20*o**3 + 4720*o**2 + 16*o - 3776 = 0?
-2, -1, 1, 2, 236
Find k such that 3*k**3 - 75*k**2 + 429*k + 507 = 0.
-1, 13
Solve -a**4/2 - 98*a**3 - 9603*a**2/2 + 98*a + 4802 = 0 for a.
-98, -1, 1
Factor -k**4/4 + 7*k**3/2 - 17*k**2 + 65*k/2 - 75/4.
-(k - 5)**2*(k - 3)*(k - 1)/4
Factor -2*g**3 + 850*g**2 - 9984*g + 29736.
-2*(g - 413)*(g - 6)**2
Factor 12*x**2/5 + 472*x/5 - 64.
4*(x + 40)*(3*x - 2)/5
Determine l, given that -2*l**5/11 + 16*l**4/11 - 4*l**3 + 56*l**2/11 - 34*l/11 + 8/11 = 0.
1, 4
Determine d so that -27*d**5/2 - 63*d**4 + 21*d**3 + 522*d**2 + 1785*d/2 + 441 = 0.
-7/3, -2, -1, 3
Factor 3*f**3/5 - 1077*f**2/5 + 19005*f + 294849/5.
3*(f - 181)**2*(f + 3)/5
Find a such that -4*a**3 - 60*a**2 - 252*a - 324 = 0.
-9, -3
Factor -4*j**2/3 + 4*j + 24.
-4*(j - 6)*(j + 3)/3
Solve 4*v**5 - 160*v**4 + 1432*v**3 + 3360*v**2 + 1764*v = 0.
-1, 0, 21
Suppose -2*z**4/7 + 2802*z**3/7 + 2*z**2/7 - 2802*z/7 = 0. Calculate z.
-1, 0, 1, 1401
Factor f**2/6 + 3*f - 19/6.
(f - 1)*(f + 19)/6
Factor 2*t**3 - 1836*t**2 + 561816*t - 57305232.
2*(t - 306)**3
Let 2*l**5 + 38*l**4 - 92*l**3 - 164*l**2 + 90*l + 126 = 0. Calculate l.
-21, -1, 1, 3
Factor 5*p**3 + 180*p**2.
5*p**2*(p + 36)
Factor -2*h**2/11 + 12876*h/11 - 20723922/11.
-2*(h - 3219)**2/11
Find l, given that 3*l**2 + 66*l + 63 = 0.
-21, -1
Solve c**4/2 - 36*c**3 + 1431*c**2/2 - 2414*c + 1734 = 0 for c.
1, 3, 34
Determine h so that -h**2 + 529*h/4 - 33 = 0.
1/4, 132
Solve 2*a**5/5 + 14*a**4/5 + 18*a**3/5 - 14*a**2/5 - 4*a = 0 for a.
-5, -2, -1, 0, 1
Find f such that -5*f**3 + 5*f**2 + 40*f - 60 = 0.
-3, 2
What is p in -98*p**5/13 - 1624*p**4/13 - 4922*p**3/13 - 4972*p**2/13 - 1784*p/13 - 16 = 0?
-13, -2, -1, -2/7
Find y, given that -5*y**5 - 40*y**4 - 100*y**3 - 50*y**2 + 105*y + 90 = 0.
-3, -2, -1, 1
Factor -h**3/5 - 54*h**2/5 - 31*h - 102/5.
-(h + 1)*(h + 2)*(h + 51)/5
Factor -2*x**2/5 + 200*x.
-2*x*(x - 500)/5
Determine l, given that 50*l**5/9 - 1160*l**4/9 + 566*l**3/3 + 12428*l**2/9 + 8824*l/9 + 560/3 = 0.
-2, -2/5, 5, 21
Determine x so that 2*x**2/11 - 12*x + 198 = 0.
33
Factor 5*x**3 + 55*x**2 + 195*x + 225.
5*(x + 3)**2*(x + 5)
Let -u**4/3 + 103*u**3/3 - 975*u**2 - 1521*u + 276822 = 0. Calculate u.
-14, 39
Determine i so that -5*i**3/4 + 455*i**2/4 + 115*i = 0.
-1, 0, 92
Suppose 3*v**2/4 - 75*v/2 = 0. What is v?
0, 50
Factor 20*p**2 - 255*p - 65.
5*(p - 13)*(4*p + 1)
Factor -b**2/4 - 69*b - 4761.
-(b + 138)**2/4
Let -3*y**2/2 + 33*y + 69/2 = 0. What is y?
-1, 23
Factor -m**2/7 + 464*m/7.
-m*(m - 464)/7
Factor -f**5/2 - 25*f**4/2 + 29*f**3/2 + 73*f**2/2 - 64*f + 26.
-(f - 1)**3*(f + 2)*(f + 26)/2
Factor -r**2/2 + 3135*r - 9828225/2.
-(r - 3135)**2/2
Factor -2*w**3/13 + 32*w**2/13 - 118*w/13 + 88/13.
-2*(w - 11)*(w - 4)*(w - 1)/13
Let t**3/8 + 5*t**2/2 - 63*t/2 - 648 = 0. Calculate t.
-18, 16
Solve -45*g**3 - 530*g**2 + 1380*g - 280 = 0 for g.
-14, 2/9, 2
Find y such that -y**2/5 - 16*y/5 - 3 = 0.
-15, -1
Factor 75*s**2/2 + 570*s + 2166.
3*(5*s + 38)**2/2
Find c such that 11*c**3 - 499*c**2/4 + 83*c/2 - 11/4 = 0.
1/11, 1/4, 11
Factor -10*x**2 - 325*x + 335.
-5*(x - 1)*(2*x + 67)
Determine m so that 25*m**3/8 + 185*m**2/8 + 71*m/8 + 7/8 = 0.
-7, -1/5
Determine s so that 33*s**4 + 303*s**3 + 846*s**2 + 672*s + 96 = 0.
-4, -1, -2/11
Factor -4*z**3 - 172*z**2 - 2204*z - 7220.
-4*(z + 5)*(z + 19)**2
Let -u**2/6 + 15*u/2 - 43/3 = 0. What is u?
2, 43
Solve -2*a**4/5 - 158*a**3/5 - 456*a**2/5 + 8*a/5 + 608/5 = 0 for a.
-76, -2, 1
What is f in 4*f**4 - 384*f**3 - 1176*f**2 - 1184*f - 396 = 0?
-1, 99
Find t such that 4*t**3/7 - 516*t**2/7 + 1496*t/7 + 288 = 0.
-1, 4, 126
Solve 50*w**4/7 + 1110*w**3/7 + 2088*w**2/7 - 2216*w/7 + 480/7 = 0 for w.
-20, -3, 2/5
Let 3*o**3 - 3756*o**2 + 3747*o + 7506 = 0. What is o?
-1, 2, 1251
Factor 5*y**5 - 55*y**4 + 120*y**3 + 20*y**2 - 160*y.
5*y*(y - 8)*(y - 2)**2*(y + 1)
Factor -72361*y**2/3 - 1076*y/3 - 4/3.
-(269*y + 2)**2/3
Factor -2*l**3/13 + 22*l**2/13 - 4*l + 32/13.
-2*(l - 8)*(l - 2)*(l - 1)/13
Factor -128*y**2 - 130*y - 2.
-2*(y + 1)*(64*y + 1)
Let -2*w**2/7 - 298*w/7 - 296/7 = 0. Calculate w.
-148, -1
Factor 3*i**2/2 - 15*i - 1653/2.
3*(i - 29)*(i + 19)/2
Let -27*h**3 + 3462*h**2 - 111360*h + 24576 = 0. Calculate h.
2/9, 64
Factor 24*s**3 - 167*s**2/2 + 46*s + 50.
(s - 2)**2*(48*s + 25)/2
Factor -5*w**3 - 445*w**2 - 2100*w.
-5*w*(w + 5)*(w + 84)
Solve -4*d**3 - 10164*d**2 - 6461760*d - 6451600 = 0 for d.
-1270, -1
What is n in n**2/9 + 1340*n/9 + 448900/9 = 0?
-670
Solve -4*h**3/5 + 4*h/5 = 0.
-1, 0, 1
Factor 35*g**3 - 2151*g**2 - 1176*g - 124.
(g - 62)*(5*g + 2)*(7*g + 1)
Let 2*l**3/3 - 374*l**2 + 69938*l - 13078406/3 = 0. What is l?
187
Solve 11*i**3/2 - 57*i**2 + 90*i + 324 = 0 for i.
-18/11, 6
Solve 4*q**2/7 + 20*q/7 - 96/7 = 0 for q.
-8, 3
Find k, given that -175*k**4 + 1245*k**3 - 1170*k**2 - 20*k + 120 = 0.
-2/7, 2/5, 1, 6
Determine g so that -15*g**2 - 1014*g = 0.
-338/5, 0
Factor -w**5/4 - w**4/2 + 3*w**3/2 + w**2 - 13*w/4 + 3/2.
-(w - 1)**3*(w + 2)*(w + 3)/4
Factor 13*c**4 + 67*c**3 + 114*c**2 + 68*c + 8.
(c + 1)*(c + 2)**2*(13*c + 2)
Determine x so that -3*x**3 - 2712*x**2 + 5433*x - 2718 = 0.
-906, 1
F