2181*u**2/2 + 61617*u/4 + 14313 = 0.
-13, -1, 1468
Solve -3*w**2 - 120*w + 9963 = 0 for w.
-81, 41
Suppose -h**3/3 - 391*h**2 - 1172*h/3 = 0. Calculate h.
-1172, -1, 0
Factor 5*f**2 - 179860*f - 719520.
5*(f - 35976)*(f + 4)
Determine p so that -7*p**3/2 - 57773*p**2/2 - 8253*p = 0.
-8253, -2/7, 0
Solve k**4 - 213*k**3 + 11102*k**2 = 0 for k.
0, 91, 122
Factor -m**2/2 + 13104*m - 85857408.
-(m - 13104)**2/2
Find v, given that 10*v**4 + 166*v**3 + 822*v**2 + 1530*v + 864 = 0.
-48/5, -3, -1
Let 4*v**5/5 - 156*v**4/5 + 1964*v**3/5 - 10644*v**2/5 + 5040*v - 21168/5 = 0. Calculate v.
2, 3, 6, 7, 21
Factor -5*i**3 + 82230*i**2 - 411055*i + 493230.
-5*(i - 16441)*(i - 3)*(i - 2)
Solve -44*m**5 - 8*m**4 + 176*m**3 + 32*m**2 = 0.
-2, -2/11, 0, 2
Factor 12654*k**3/7 - 75928*k**2/7 + 113910*k/7 - 36/7.
2*(k - 3)**2*(6327*k - 2)/7
Let -q**2 + 325184*q - 26436158464 = 0. Calculate q.
162592
Solve -t**5/4 - 187*t**4/2 - 37125*t**3/4 - 100093*t**2 - 163805*t = 0.
-181, -10, -2, 0
Find a, given that -3*a**2/2 - 169*a - 1615/2 = 0.
-323/3, -5
Factor 2*x**3 - 406*x**2 + 3472*x + 3880.
2*(x - 194)*(x - 10)*(x + 1)
Factor -x**2 + 25086*x - 157326849.
-(x - 12543)**2
Suppose 2*s**2/9 - 34016*s/3 - 34018 = 0. What is s?
-3, 51027
Solve -2*s**3 + 51808*s**2/9 + 40310*s/9 - 11516/9 = 0 for s.
-1, 2/9, 2879
Let -3*g**2/4 + 303*g/4 + 12243/2 = 0. Calculate g.
-53, 154
Factor 74*v**2/5 + 7198*v/5 + 3192.
2*(v + 95)*(37*v + 84)/5
What is v in 3*v**2/5 - 804*v/5 = 0?
0, 268
Find i, given that -i**2/3 + 63632*i/3 - 42420 = 0.
2, 63630
Factor -b**2/3 - 7627*b/3 + 5086.
-(b - 2)*(b + 7629)/3
Let 147*h**4 - 33096*h**3 - 958539*h**2 + 1127784*h - 325296 = 0. Calculate h.
-27, 4/7, 251
Let -376*r**4 - 20570*r**3 - 14399*r**2 - 1888*r + 108 = 0. Calculate r.
-54, -1/2, -1/4, 2/47
Factor -j**2/10 - 3109*j/10 - 4333.
-(j + 14)*(j + 3095)/10
Determine m so that -5062562*m**2/13 + 6364*m/13 - 2/13 = 0.
1/1591
Let 4*d**4/3 + 13948*d**3/3 + 69656*d**2/3 + 55712*d/3 = 0. Calculate d.
-3482, -4, -1, 0
Factor -30115*u**2 - 90335*u + 30.
-5*(u + 3)*(6023*u - 2)
Determine a so that -22*a**4/7 - 13470*a**3/7 - 2050162*a**2/7 + 510234*a - 1507984/7 = 0.
-307, 8/11, 1
Suppose -z**5 - 33*z**4 + 113*z**3 + 3837*z**2 + 3344*z - 7260 = 0. Calculate z.
-33, -10, -2, 1, 11
Find c such that -2*c**2/11 + 65872*c/11 - 542390048/11 = 0.
16468
Let -2*u**3/7 + 6844*u**2 + 95840*u/7 - 383296/7 = 0. Calculate u.
-4, 2, 23956
Solve 11*n**3/7 + 1839*n**2/7 - 3371*n/7 + 1521/7 = 0 for n.
-169, 9/11, 1
Let 48*l**5/5 - 106*l**4 - 4848*l**3/5 - 1566*l**2/5 + 23056*l/5 - 1632 = 0. What is l?
-4, 3/8, 5/3, 17
Factor 6*t**3 + 4795*t**2 + 960792*t + 1114407.
(t + 399)**2*(6*t + 7)
Factor -136*c**2/7 - 962*c/7 - 1410/7.
-2*(c + 5)*(68*c + 141)/7
Suppose 4*y**5 - 1153*y**4 + 288*y**3 = 0. What is y?
0, 1/4, 288
Factor 4*b**4 - 1348*b**3 - 680312*b**2.
4*b**2*(b - 614)*(b + 277)
Find l such that 2*l**4 + 780*l**3 + 28616*l**2 - 780*l - 28618 = 0.
-349, -41, -1, 1
Factor -2*k**3/5 - 8012*k**2/5 + 16032*k/5.
-2*k*(k - 2)*(k + 4008)/5
Find p, given that 5*p**2 + 80*p + 240 = 0.
-12, -4
Factor -l**2 - 3410*l - 101400.
-(l + 30)*(l + 3380)
Factor -16*r**2/5 + 2318*r/5 + 2628/5.
-2*(r - 146)*(8*r + 9)/5
Factor 2*j**2 - 110208*j.
2*j*(j - 55104)
Factor f**4/4 - 17*f**3 - 1999*f**2/4 + 5785*f/2.
f*(f - 89)*(f - 5)*(f + 26)/4
Determine z so that -4*z**2 + 6502*z + 3252 = 0.
-1/2, 1626
Let -4*c**4 - 2920*c**3 - 538708*c**2 - 2119920*c - 2108304 = 0. Calculate c.
-363, -2
Factor -2*h**3 + 2268*h**2 + 4560*h - 18176.
-2*(h - 1136)*(h - 2)*(h + 4)
Solve -16*r**4 - 3172*r**3 + 2584*r**2 + 39052*r + 9552 = 0 for r.
-199, -3, -1/4, 4
Let 5*c**4 - 403915*c**3 - 1615740*c**2 = 0. Calculate c.
-4, 0, 80787
Determine t so that t**5 + 4*t**4 - 307*t**3 - 922*t**2 + 1224*t = 0.
-18, -4, 0, 1, 17
Factor -3*o**4/5 - 25812*o**3/5 + 465588*o**2/5.
-3*o**2*(o - 18)*(o + 8622)/5
Let 755*u**2/4 + 751*u/2 - 4 = 0. What is u?
-2, 8/755
Factor 90*j**3/19 + 58*j**2/19 + 8*j/19.
2*j*(5*j + 1)*(9*j + 4)/19
Let -4*k**5/13 + 1238*k**4/13 - 6696*k**3/13 + 2374*k**2/13 + 17608*k/13 + 7296/13 = 0. What is k?
-1, -1/2, 3, 4, 304
Factor -c**5 - 185*c**4 - 7864*c**3 + 66048*c**2 + 73728*c.
-c*(c - 8)*(c + 1)*(c + 96)**2
Determine w, given that w**4/2 - 112*w**3 + 3183*w**2/2 - 4984*w - 6688 = 0.
-1, 8, 209
Let 110*j**4 + 6156*j**3 + 17486*j**2 + 11016*j - 424 = 0. What is j?
-53, -2, -1, 2/55
What is j in -2*j**4/5 + 746*j**3/5 + 5296*j**2/5 + 1824*j = 0?
-4, -3, 0, 380
Suppose -z**5/3 + 47*z**4/3 + 638*z**3/3 + 92*z**2/3 - 5416*z/3 + 4640/3 = 0. What is z?
-10, -4, 1, 2, 58
Let 2*w**5/7 - 1366*w**4/7 - 5486*w**3/7 - 6866*w**2/7 - 2748*w/7 = 0. What is w?
-2, -1, 0, 687
Factor k**4 + 3277*k**3 + 45682*k**2.
k**2*(k + 14)*(k + 3263)
Factor g**4/2 + 5*g**3/2 - 17*g**2/2 - 21*g/2.
g*(g - 3)*(g + 1)*(g + 7)/2
Let 3*y**5 + 1572*y**4 + 210591*y**3 + 1219890*y**2 + 1609944*y = 0. Calculate y.
-259, -4, -2, 0
Suppose 418*y**2 - 1255*y + 3 = 0. What is y?
1/418, 3
Factor 169*g**3/6 - 403*g**2/2 - 1900*g - 9386/3.
(g - 13)*(13*g + 38)**2/6
Factor 6*k**3/5 + 678*k**2 + 3384*k/5.
6*k*(k + 1)*(k + 564)/5
What is d in -5*d**4 + 1990*d**3 + 118755*d**2 + 342260*d + 225500 = 0?
-50, -2, -1, 451
Let -5*c**2 + 6300*c - 1196455 = 0. What is c?
233, 1027
What is a in -a**4 - 74*a**3 - 1165*a**2 - 1092*a = 0?
-52, -21, -1, 0
Factor -p**3/4 + 3*p**2 + 1519*p/4 - 765/2.
-(p - 45)*(p - 1)*(p + 34)/4
Determine f so that -f**2 - 2123*f - 16920 = 0.
-2115, -8
Factor n**3/3 - 562*n**2/3 - 11145*n + 35112.
(n - 616)*(n - 3)*(n + 57)/3
Factor j**3 + 1053*j**2 - 2118*j - 8440.
(j - 4)*(j + 2)*(j + 1055)
Determine o, given that 7*o**3/4 + 12693*o**2 + 58017*o/4 + 1813 = 0.
-7252, -1, -1/7
Factor 2*o**3 - 4170*o**2 + 4164*o + 8336.
2*(o - 2084)*(o - 2)*(o + 1)
Solve -3*q**3 + 6741*q**2 - 412584*q - 419328 = 0 for q.
-1, 64, 2184
Let -5*x**3/2 - 3375*x**2 - 698335*x/2 + 352545 = 0. What is x?
-1237, -114, 1
Find s such that -36*s**4/7 + 17684*s**3/7 - 3604*s**2/7 - 159156*s/7 + 35352/7 = 0.
-3, 2/9, 3, 491
Determine v, given that -2*v**3/9 + 19358*v**2/3 + 77440*v/3 + 232328/9 = 0.
-2, 29041
What is n in -2*n**3/9 - 12590*n**2/9 - 6681458*n/3 - 80500826 = 0?
-3129, -37
Factor 5*c**2 - 1760*c + 1755.
5*(c - 351)*(c - 1)
Factor 4*s**2 - 131408*s + 1079253904.
4*(s - 16426)**2
Find l such that 2857*l**2 + 631399*l + 442 = 0.
-221, -2/2857
Factor -429*c**2 - 327*c + 756.
-3*(c - 1)*(143*c + 252)
Factor 5*m**2 - 16700*m + 16695.
5*(m - 3339)*(m - 1)
Factor 20*f**3 + 6*f**2 - 54*f + 28.
2*(f - 1)*(f + 2)*(10*f - 7)
Determine o so that -3*o**3/2 + 18393*o**2/2 + 36795*o/2 + 18399/2 = 0.
-1, 6133
What is n in -n**2/8 + 117265*n/4 - 13751080225/8 = 0?
117265
Let -2*i**2/3 + 84*i - 250/3 = 0. Calculate i.
1, 125
Suppose 2*b**3 + 14656*b**2 + 204890*b + 716772 = 0. What is b?
-7314, -7
Factor 5*j**3 - 325*j**2 - 20*j + 1300.
5*(j - 65)*(j - 2)*(j + 2)
Factor -3*c**4/2 + 4993*c**3/2 - 1039168*c**2 + 346112*c.
-c*(c - 832)**2*(3*c - 1)/2
Solve -5*l**3 - 155375*l**2 = 0 for l.
-31075, 0
Find p such that 2*p**2/19 + 28536*p/19 + 101787912/19 = 0.
-7134
Find o, given that -o**4/4 + 1009*o**3/4 - 2002*o**2 = 0.
0, 8, 1001
Solve -5*w**3 - 1110*w**2 - 27420*w - 50440 = 0.
-194, -26, -2
What is q in -6*q**3 + 560*q**2 - 12906*q + 4240 = 0?
1/3, 40, 53
Factor -4*w**2 + 164*w + 9344.
-4*(w - 73)*(w + 32)
Factor 286*i**2 + 1654*i/3 + 796/3.
2*(i + 1)*(429*i + 398)/3
Factor 2*j**3/5 + 382*j**2/5 + 444*j.
2*j*(j + 6)*(j + 185)/5
Factor -2*i**2/9 + 19708*i/9.
-2*i*(i - 9854)/9
Factor -270*d**3 + 87*d**2 - 6*d.
-3*d*(9*d - 2)*(10*d - 1)
Suppose -18*z**4/7 - 321*z**3 + 2052*z**2 - 23103*z/7 + 1572 = 0. Calculate z.
-131, 1, 7/6, 4
Solve -2*m**4 - 86184*m**3 - 172362*m**2 - 86180*m = 0 for m.
-43090, -1, 0
Suppose 2*o**5/13 + 1776*o**4/13 + 437282*o**3/13 + 18917436*o**2/13 + 12096920*o + 366920400/13 = 0. What is o?
-418, -42, -5
Suppose t**2/5 + 30459*t/5 = 0. Calculate t.
-30459, 0
Factor m**4/2 - 576*m**3 + 168168*m**2 - 1308736*m.
m*(m - 572)**2*(m - 8)/2
Factor 125*a**5 + 17184850*a**4 - 20621940*a**3 + 8248792*a**2 - 1099840*a.
a*(a + 137480)*(5*a - 2)**3
Suppose -5*j**4/3 + 1900*j**3/3 + 17245*j**2 + 421850*j/3 + 982520/3 = 0. Calculate j.
-11, -4, 406
Factor -3*o**3/4 + 51*o**2/4 + 45*o.
-3*o*(o - 20)*(o + 3)