2/5, 246122
Determine q, given that -q**2/2 + 44473*q - 1977847729/2 = 0.
44473
Factor -h**3 + 20693*h**2 + 41390*h.
-h*(h - 20695)*(h + 2)
Find h, given that -4*h**2 + 359384*h + 359388 = 0.
-1, 89847
Solve r**2/6 + 22774*r/3 + 259327538/3 = 0 for r.
-22774
Determine m, given that 2*m**2/7 + 170*m - 16296 = 0.
-679, 84
Factor 2*s**4 - 1380*s**3 + 2752*s**2.
2*s**2*(s - 688)*(s - 2)
Factor 374*s**3 - 1874*s**2 - 5216*s + 56.
2*(s - 7)*(s + 2)*(187*s - 2)
Factor 3645*h**3/4 - 7965*h**2/4 - 11020*h - 9025.
5*(h - 5)*(27*h + 38)**2/4
Let -10*n**2 - 223196*n - 133914 = 0. Calculate n.
-22319, -3/5
Find m such that 5*m**4 + 61345*m**3 + 188191120*m**2 + 188129780*m = 0.
-6134, -1, 0
Factor 2*j**2/17 + 674*j/17 - 1192996/17.
2*(j - 622)*(j + 959)/17
Determine i so that -5*i**5/2 + 575*i**4/6 + 135*i**3/2 - 68615*i**2/6 - 39125*i - 21000 = 0.
-8, -3, -2/3, 15, 35
What is y in -y**5 - 61*y**4 - 745*y**3 + 3677*y**2 - 4870*y + 2000 = 0?
-40, -25, 1, 2
Determine l so that 2*l**5/7 + 104*l**4/7 + 1782*l**3/7 + 10480*l**2/7 + 8800*l/7 = 0.
-20, -11, -1, 0
Factor -y**3 + 1119*y**2 + 7890*y - 9008.
-(y - 1126)*(y - 1)*(y + 8)
Suppose 2*l**2 - 1336*l - 1338 = 0. Calculate l.
-1, 669
Solve -5*m**2 + 48095*m + 385080 = 0 for m.
-8, 9627
Let 2*s**5/11 - 126*s**4/11 + 1264*s**3/11 + 1800*s**2 + 50400*s/11 = 0. Calculate s.
-5, -4, 0, 30, 42
Solve 4*l**4 - 1720*l**3 + 210372*l**2 - 5476480*l + 40551424 = 0 for l.
16, 199
Suppose -5*q**3 + 573865*q**2 + 1147745*q + 573875 = 0. Calculate q.
-1, 114775
Determine d, given that 4*d**3 - 40*d**2 - 976*d - 1760 = 0.
-10, -2, 22
Let -3*f**2/5 - 213777*f/5 = 0. Calculate f.
-71259, 0
Solve n**4/2 - 877*n**3/2 - 3*n**2/2 + 2633*n/2 - 877 = 0.
-2, 1, 877
Factor u**3/4 - 407*u**2 + 1625*u - 1624.
(u - 1624)*(u - 2)**2/4
Factor 4*m**4/5 - 76*m**3/5 + 344*m**2/5 - 416*m/5.
4*m*(m - 13)*(m - 4)*(m - 2)/5
Factor -2*j**4/3 + 12118*j**3/3 - 24220*j**2 + 145288*j/3 - 96848/3.
-2*(j - 6053)*(j - 2)**3/3
Suppose 3*n**5 + 1047*n**4 - 31182*n**3 + 184842*n**2 + 608715*n - 763425 = 0. What is n?
-377, -3, 1, 15
Factor -4*y**2 + 3512*y - 127680.
-4*(y - 840)*(y - 38)
Find l such that -5*l**3 + 175*l**2 - 490*l + 320 = 0.
1, 2, 32
Find j such that 5*j**3 - 2935*j**2 - 36605*j + 398335 = 0.
-19, 7, 599
Determine t, given that -658*t**2/13 + 1382*t/13 - 724/13 = 0.
1, 362/329
Factor 3*v**2 + 235368*v + 4616507952.
3*(v + 39228)**2
Factor -3*w**3/8 - 135*w**2/2 + 117369*w/8 - 2270997/4.
-3*(w - 69)**2*(w + 318)/8
Factor -4*c**2 + 900*c - 14144.
-4*(c - 208)*(c - 17)
Factor -2*w**4 - 1510*w**3 - 332134*w**2 - 16977026*w.
-2*w*(w + 73)*(w + 341)**2
Find r such that -r**4 - 63921*r**3 + 63923*r**2 + 63921*r - 63922 = 0.
-63922, -1, 1
Factor -x**2/2 + 867*x/2 - 2583.
-(x - 861)*(x - 6)/2
Determine x so that x**5 - 16*x**4 + 10*x**3 + 792*x**2 - 2835*x = 0.
-7, 0, 5, 9
Find r such that -2*r**3/5 - 1824*r**2/5 - 77832*r + 2474080 = 0.
-470, 28
Factor -c**2 - 1651*c - 37444.
-(c + 23)*(c + 1628)
What is k in -5*k**4 + 40495*k**3 - 81890890*k**2 - 410710720*k + 492561120 = 0?
-6, 1, 4052
Factor -5*b**2 + 555915*b - 555910.
-5*(b - 111182)*(b - 1)
Solve c**3/7 + 10868*c**2/7 - 10869*c/7 = 0.
-10869, 0, 1
Solve m**3 - 1996*m**2 - 24096*m = 0 for m.
-12, 0, 2008
Factor -2*u**2/3 + 40*u/3 - 64.
-2*(u - 12)*(u - 8)/3
Solve -3*f**4/4 - 48171*f**3 - 1547059833*f**2/2 - 1546915323*f - 3093734307/4 = 0.
-32113, -1
Find d such that -14*d**3/9 - 1516*d**2/9 - 538*d - 140 = 0.
-105, -3, -2/7
Determine i so that -3*i**4/4 + 34641*i**3/2 - 133298550*i**2 + 341599335000*i + 2054398500000 = 0.
-6, 7700
Determine x, given that 3*x**2/5 + 126*x/5 - 3672 = 0.
-102, 60
Factor 3*u**2 - 3429*u + 96918.
3*(u - 1114)*(u - 29)
Solve 2*i**3/25 + 208*i**2/25 - 3462*i/25 + 12852/25 = 0 for i.
-119, 6, 9
Let -o**2/2 + 175*o/2 + 4047 = 0. Calculate o.
-38, 213
Factor -5*j**3 + 55540*j**2 - 154290105*j + 308358090.
-5*(j - 5553)**2*(j - 2)
Factor 10*l**3/3 - 2578*l**2/3 - 2608*l.
2*l*(l + 3)*(5*l - 1304)/3
Factor -s**3/3 - 2051*s**2/3 + 6166*s/3 + 8216/3.
-(s - 4)*(s + 1)*(s + 2054)/3
Solve 3*o**2 + 24243*o + 24240 = 0.
-8080, -1
Factor -j**4/2 - 843*j**3/2 - 2922*j**2 + 3344*j.
-j*(j - 1)*(j + 8)*(j + 836)/2
Factor -2*l**2 - 184*l - 870.
-2*(l + 5)*(l + 87)
Solve 5*m**5 + 6455*m**4 + 232345*m**3 + 445345*m**2 + 219450*m = 0 for m.
-1254, -35, -1, 0
Let -2*j**2 - 1418*j + 12924 = 0. Calculate j.
-718, 9
Factor 95*i**3/3 - 40001*i**2/3 + 842*i.
i*(i - 421)*(95*i - 6)/3
Suppose w**5/4 - 45*w**4/4 + 17*w**3/2 + 111*w**2 - 38*w - 264 = 0. What is w?
-2, 2, 3, 44
Let -9*l**3/4 + 330855*l**2/2 + 441147*l/4 - 55143 = 0. What is l?
-1, 1/3, 73524
Factor -2*r**4/3 + 17938*r**3 + 53816*r**2/3.
-2*r**2*(r - 26908)*(r + 1)/3
Solve d**3/2 + 8971*d**2/2 - 71841*d/2 - 80811/2 = 0.
-8979, -1, 9
Factor 101*z**2/2 + 47520*z - 941/2.
(z + 941)*(101*z - 1)/2
Suppose 5*r**4 - 65*r**3 - 155*r**2 + 65*r + 150 = 0. What is r?
-2, -1, 1, 15
Suppose -u**3/6 + 130*u**2/3 - 1469*u/6 - 6985/3 = 0. Calculate u.
-5, 11, 254
Let -5*y**5 + 10*y**4 + 3395*y**3 - 13540*y**2 + 13500*y = 0. What is y?
-27, 0, 2, 25
Find f such that -f**3 - 163094*f**2 - 6649913209*f = 0.
-81547, 0
Factor -x**5 - 228*x**4 + 57564*x**3 + 13141440*x**2.
-x**2*(x - 240)*(x + 234)**2
Factor 5*r**5 - 25*r**4 - 205*r**3 - 415*r**2 - 340*r - 100.
5*(r - 10)*(r + 1)**3*(r + 2)
Factor 2*l**2/9 + 292*l/3 + 57280/9.
2*(l + 80)*(l + 358)/9
Factor 30*y**3 + 61985*y**2 + 442720*y + 72065.
5*(y + 7)*(y + 2059)*(6*y + 1)
Determine h so that -151380*h**5 + 160080*h**4 + 142555*h**3 - 159955*h**2 + 8825*h - 125 = 0.
-1, 5/174, 1
Suppose 4*p**2 + 1488*p - 1409152 = 0. What is p?
-808, 436
Determine j, given that -2*j**5 - 126*j**4 - 2662*j**3 - 22010*j**2 - 78000*j - 100000 = 0.
-25, -5, -4
What is w in 274*w**3/11 + 1642*w**2/11 - 1930*w/11 + 14/11 = 0?
-7, 1/137, 1
Factor -2*s**3/3 + 88*s**2/3 + 182*s/3 + 92/3.
-2*(s - 46)*(s + 1)**2/3
Factor 4*a**5/7 + 36896*a**4/7.
4*a**4*(a + 9224)/7
Find a such that -2*a**3/9 + 8038*a**2/9 - 2690720*a/3 - 897800 = 0.
-1, 2010
Determine v so that -3*v**3/2 + 279*v**2/2 - 5541*v/2 - 35055/2 = 0.
-5, 41, 57
Factor -52*u**2/7 + 12540*u/7 + 12592/7.
-4*(u + 1)*(13*u - 3148)/7
Find z, given that -3*z**5 + 11673*z**4 - 23334*z**3 = 0.
0, 2, 3889
Solve k**4/3 + 34*k**3/3 + 103*k**2 + 252*k = 0 for k.
-21, -9, -4, 0
Let -39*h**5 + 2061*h**4 + 115680*h**3 + 17748*h**2 = 0. What is h?
-34, -2/13, 0, 87
Factor p**2/9 - 25694*p/9 + 25693/9.
(p - 25693)*(p - 1)/9
What is d in 4*d**2 - 1364*d + 41752 = 0?
34, 307
Determine w so that 4*w**2 - 600*w + 19584 = 0.
48, 102
Factor 2*m**2/9 + 137228*m/9 + 686090/9.
2*(m + 5)*(m + 68609)/9
Suppose -w**2/5 - 29991*w/5 = 0. What is w?
-29991, 0
Determine z so that -2*z**3/11 - 356*z**2/11 - 20930*z/11 - 405600/11 = 0.
-65, -48
Factor -17237*c**2/2 + 25853*c/3 + 5/6.
-(c - 1)*(51711*c + 5)/6
Factor 2*v**4/11 - 314586*v**3/11 + 12370386630*v**2/11 + 12370701218*v/11.
2*v*(v - 78647)**2*(v + 1)/11
Solve -2*v**3 - 337744*v**2 - 675482*v - 337740 = 0.
-168870, -1
Factor 3*g**3/2 - 363*g**2 - 20829*g/2 - 10050.
3*(g - 268)*(g + 1)*(g + 25)/2
Factor 84*j**2 - 44596*j - 134544.
4*(j + 3)*(21*j - 11212)
Factor r**2/3 - 21578*r + 349207563.
(r - 32367)**2/3
What is z in 4*z**2 + 364*z - 1520 = 0?
-95, 4
Solve -3*c**3/5 - 6171*c**2/5 - 12297*c - 30705 = 0.
-2047, -5
Factor 55*h**2 - 187870*h - 34160.
5*(h - 3416)*(11*h + 2)
Find v, given that -2*v**5/3 - 1168*v**4/3 + 2344*v**3/3 - 4*v**2/3 - 2342*v/3 + 1172/3 = 0.
-586, -1, 1
Determine t so that 3*t**4 - 13083*t**3 + 65337*t**2 + 13083*t - 65340 = 0.
-1, 1, 5, 4356
Suppose -n**2/7 - 48628*n/7 - 591170596/7 = 0. What is n?
-24314
Determine x, given that -3*x**4/4 + 963*x**3/4 + 3885*x**2/4 + 4869*x/4 + 975/2 = 0.
-2, -1, 325
Let 722*q**4/5 + 25916*q**3/5 - 87208*q**2/5 + 8964*q/5 - 234/5 = 0. Calculate q.
-39, 1/19, 3
Factor -2*h**4 + 28*h**3 + 80*h**2 - 256*h.
-2*h*(h - 16)*(h - 2)*(h + 4)
Factor -2*l**3/17 + 7400*l**2/17 - 322696*l/17 + 3539008/17.
-2*(l - 3656)*(l - 22)**2/17
Let 82*g**2/3 + 23380*g/9 + 950/9 = 0. What is g?
-95, -5/123
Find a, given that -5*a**5 + 40*a**4 + 515*a**3 - 3550*a**2 + 3000*a = 0.
-10, 0, 1, 5, 12
What is k in -10*k**3 + 3795*k**2 - 352875*k + 175490 = 0?
1/2, 161, 218
Factor 2*o**3 - 15772*o**2 + 15766*o + 3154