5*w/3 + 6993/2.
-(w - 2997)*(w + 7)/6
Factor -z**2/7 - 136096*z/7 - 136095/7.
-(z + 1)*(z + 136095)/7
Suppose -2*n**2/3 - 3158*n/3 - 6308/3 = 0. What is n?
-1577, -2
Factor -4*d**3 + 474308*d**2 - 14060267772*d - 14060742084.
-4*(d - 59289)**2*(d + 1)
Determine m so that 4*m**2/7 + 252*m + 1760/7 = 0.
-440, -1
Solve 2*v**2 - 3484*v + 175760 = 0 for v.
52, 1690
Factor -l**4/2 - 52109*l**3/2 + 469035*l**2/2 - 1407159*l/2 + 703593.
-(l - 3)**3*(l + 52118)/2
Determine r so that 2*r**2/7 - 25328*r/7 + 3618 = 0.
1, 12663
Let -2*j**2/3 - 63160*j/3 - 126296 = 0. What is j?
-31574, -6
Factor t**3/4 - 25582*t**2 - 102329*t/4.
t*(t - 102329)*(t + 1)/4
Suppose -2*p**3/23 - 252*p**2/23 - 5880*p/23 - 38416/23 = 0. What is p?
-98, -14
Determine p so that 5*p**2 - 2265*p + 4510 = 0.
2, 451
What is w in 3*w**5 + 132*w**4 - 3504*w**3 - 163590*w**2 - 152451*w + 319410 = 0?
-39, -2, 1, 35
Determine v, given that 5*v**5 - 5105*v**4 - 20485*v**3 - 15375*v**2 = 0.
-3, -1, 0, 1025
Let 3*j**2/2 - 32469*j - 714681/2 = 0. What is j?
-11, 21657
Suppose -r**2/3 + 757*r/3 + 758/3 = 0. What is r?
-1, 758
Factor -4*b**3 - 29848*b**2.
-4*b**2*(b + 7462)
Factor -2*l**2/19 - 16436*l/19 + 7794.
-2*(l - 9)*(l + 8227)/19
Solve -36*l**5 + 501*l**4 + 3354*l**3 + 2652*l**2 - 5958*l - 513 = 0.
-3, -1/12, 1, 19
Determine d, given that 2*d**2/3 - 50278*d/3 - 16760 = 0.
-1, 25140
Factor -3*g**2/7 + 46272*g/7 + 46275/7.
-3*(g - 15425)*(g + 1)/7
Factor s**3 - 13348*s**2 + 40037*s - 26690.
(s - 13345)*(s - 2)*(s - 1)
What is y in 2*y**3 + 8068*y**2 + 8136578*y = 0?
-2017, 0
Let 38*l**3 - 23374*l**2 + 49048*l - 4904 = 0. Calculate l.
2/19, 2, 613
Factor -2*o**2 + 4430*o - 26508.
-2*(o - 2209)*(o - 6)
Determine q, given that -2*q**2/7 - 62372*q + 436606/7 = 0.
-218303, 1
Determine k, given that -2*k**5/3 - 6*k**4 + 82*k**3 - 430*k**2/3 + 68*k = 0.
-17, 0, 1, 6
Solve -4*x**2 + 90064*x + 180144 = 0.
-2, 22518
Factor -13*c**3/2 - 200*c**2 + 951*c/2 - 99.
-(c - 2)*(c + 33)*(13*c - 3)/2
Factor -3*f**2/7 - 9174*f/7 - 7013523/7.
-3*(f + 1529)**2/7
What is n in 3*n**5 + 3312*n**4 + 39312*n**3 = 0?
-1092, -12, 0
Factor 2*l**3 + 223*l**2/3 + 32*l/3 - 185/3.
(l + 1)*(l + 37)*(6*l - 5)/3
Factor -3*q**2 - 7812*q + 78420.
-3*(q - 10)*(q + 2614)
Factor -3*d**3 - 541446*d**2/5 - 4886171136*d/5 - 1954381824/5.
-3*(d + 18048)**2*(5*d + 2)/5
What is n in -2*n**4/7 + 836874*n**3/7 - 116726348646*n**2/7 + 5426958127598478*n/7 = 0?
0, 139479
Determine i so that -3*i**2/5 + 3564*i/5 + 65124/5 = 0.
-18, 1206
Suppose 3*l**2 + 628041*l - 628044 = 0. Calculate l.
-209348, 1
Factor -7*l**2/3 + 9245*l/3 + 94550.
-(l + 30)*(7*l - 9455)/3
Factor 2*l**4 - 9700*l**3 + 19394*l**2 - 9696*l.
2*l*(l - 4848)*(l - 1)**2
Factor 4*m**3 + 8508*m**2 - 51172*m + 42660.
4*(m - 5)*(m - 1)*(m + 2133)
Factor -m**2 + 11247*m + 11248.
-(m - 11248)*(m + 1)
Solve t**2/5 - 1423*t/5 - 90524/5 = 0.
-61, 1484
Suppose -3*j**2 + 7110*j + 21357 = 0. What is j?
-3, 2373
Factor i**3 + 1019*i**2 + 264115*i + 2295225.
(i + 9)*(i + 505)**2
Find a such that -3*a**3/2 - 17085*a**2 + 34179*a/2 + 34173 = 0.
-11391, -1, 2
Factor 4*g**3/5 + 13772*g**2/5 - 471716*g/5 + 4019412/5.
4*(g - 17)**2*(g + 3477)/5
Solve -4*n**2/5 - 768*n + 7760 = 0 for n.
-970, 10
Factor -9*l**2 - 18231*l + 312528.
-3*(l - 17)*(3*l + 6128)
Suppose -5*j**4/2 + 820*j**3 + 15*j**2/2 - 2455*j - 1640 = 0. Calculate j.
-1, 2, 328
Factor u**4/4 - 99*u**3/4 + 420*u**2 - 1975*u.
u*(u - 79)*(u - 10)**2/4
Factor 3*h**2 + 117714*h + 1154715483.
3*(h + 19619)**2
What is h in -2*h**2/9 + 62306*h/9 - 20768/3 = 0?
1, 31152
Factor -l**3/2 - 228*l**2 - 17429*l/2 - 8487.
-(l + 1)*(l + 41)*(l + 414)/2
Factor 2*c**2 + 137280*c.
2*c*(c + 68640)
Factor -3*n**2/8 - 69*n/4 + 2745/8.
-3*(n - 15)*(n + 61)/8
Factor 9*m**3 + 303*m**2 + 2406*m + 2112.
3*(m + 1)*(m + 22)*(3*m + 32)
Find u, given that 4*u**5 + 692*u**4 - 584*u**3 - 99880*u**2 + 198724*u - 98956 = 0.
-173, -13, 1, 11
Find x such that -x**5/2 + 371*x**4/2 - 34963*x**3/2 + 102673*x**2/2 - 50968*x + 16928 = 0.
1, 184
Find y, given that -y**2/5 - 77*y/5 - 228 = 0.
-57, -20
Let 125*g**4/3 - 24950*g**3 + 818940*g**2 - 1929560*g/3 + 127840 = 0. What is g?
2/5, 34, 564
Suppose s**4/2 - 5190*s**3 + 13457666*s**2 + 53892960*s + 53913728 = 0. What is s?
-2, 5192
Factor -p**3/6 - 517*p**2/2 - 100104*p + 301088/3.
-(p - 1)*(p + 776)**2/6
Factor -2*m**2 + 280508*m - 9835592258.
-2*(m - 70127)**2
Find n such that 2*n**2/9 - 30572*n/9 + 116830898/9 = 0.
7643
Factor b**3 - 761*b**2 + 113980*b.
b*(b - 556)*(b - 205)
Factor -p**3/4 - 237*p**2/4 + 239*p/2.
-p*(p - 2)*(p + 239)/4
Suppose -2*j**2 + 12922*j + 77604 = 0. What is j?
-6, 6467
Find c, given that c**3 + 585*c**2 + 36312*c + 597652 = 0.
-517, -34
Solve -20*t**4 - 12388*t**3 - 1914552*t**2 + 1158160*t + 768800 = 0 for t.
-310, -2/5, 1
What is c in -2*c**2/5 - 262*c - 3912/5 = 0?
-652, -3
Find o such that -3*o**3 - 7*o**2 + 11718*o - 7808 = 0.
-64, 2/3, 61
Factor -5*i**2 + 107090*i - 214160.
-5*(i - 21416)*(i - 2)
Factor -3*o**3 + 88812*o**2 - 657918855*o + 9193465050.
-3*(o - 14795)**2*(o - 14)
Determine t, given that 5*t**5 + 14685*t**4 + 13842645*t**3 + 3627507415*t**2 - 530149690470*t = 0.
-1013, 0, 102
Solve 5*n**4 + 12000*n**3 - 12005*n**2 = 0.
-2401, 0, 1
Suppose -i**2 + 8504*i + 93665 = 0. What is i?
-11, 8515
Factor 15*k**3 + 147594*k**2 + 1268145*k - 530874.
3*(k + 9)*(k + 9831)*(5*k - 2)
Suppose -2*i**5/19 + 956060*i**4/19 - 114255384386*i**3/19 - 228513636960*i**2/19 - 114257296512*i/19 = 0. Calculate i.
-1, 0, 239016
Factor -f**4 + 25*f**3 + 51*f**2 - 4905*f + 28350.
-(f - 15)**2*(f - 9)*(f + 14)
Determine p so that -p**3 + 41*p**2 - 359*p + 319 = 0.
1, 11, 29
Find f, given that 3*f**4/5 + 93*f**3/5 - 4383*f**2/5 + 47547*f/5 - 32076 = 0.
-60, 9, 11
Find l, given that -3*l**2 + 95322*l - 381240 = 0.
4, 31770
What is d in 6*d**3 + 536553*d**2 + 11995245936*d - 5997757107 = 0?
-44713, 1/2
Suppose 18*b**3 - 3424*b**2 - 369302*b + 82236 = 0. Calculate b.
-77, 2/9, 267
Solve -3*t**5 + 198*t**4 - 2751*t**3 - 20676*t**2 + 109620*t - 117600 = 0.
-8, 2, 35
Suppose -4*q**5 + 17404*q**4 + 244452*q**3 - 52220*q**2 - 698512*q + 488880 = 0. Calculate q.
-14, -2, 1, 4365
Factor -3*b**3 - 1681275*b**2 - 3362541*b - 1681269.
-3*(b + 1)**2*(b + 560423)
Solve 582*o**3/5 - 13768*o**2/5 + 79008*o/5 + 5760 = 0 for o.
-100/291, 12
Factor -5*j**3 + 475*j**2 + 28160*j + 336380.
-5*(j - 139)*(j + 22)**2
Determine b so that -435*b**2 - 5155*b + 6500 = 0.
-13, 100/87
Find w such that -w**2 + 47496*w = 0.
0, 47496
Factor -2*t**3 + 336*t**2 - 14424*t + 27520.
-2*(t - 86)*(t - 80)*(t - 2)
Factor -75*m**3 + 983640*m**2 + 786948*m + 157392.
-3*(m - 13116)*(5*m + 2)**2
Determine v so that -499*v**2/3 - 1000*v - 12 = 0.
-6, -6/499
Factor v**2/6 - 185*v/3 + 3500/3.
(v - 350)*(v - 20)/6
Factor -o**2/5 - 2334562*o/5 - 1362544932961/5.
-(o + 1167281)**2/5
Solve p**5/6 - 4249*p**4/6 + 4599743*p**3/6 - 183178007*p**2/6 + 294073976*p + 325370976 = 0 for p.
-1, 21, 2104
Factor -3125*t**3 + 4000*t**2 + 4095*t + 810.
-5*(t - 2)*(25*t + 9)**2
Determine u so that 2*u**3/13 - 91778*u**2/13 + 183550*u/13 - 91774/13 = 0.
1, 45887
Factor k**2/8 + 193*k/4 + 9693/8.
(k + 27)*(k + 359)/8
Determine w, given that 3*w**3 - 459*w**2 - 7014*w = 0.
-14, 0, 167
Solve -3*k**3 - 2787*k**2 + 469986*k - 928800 = 0 for k.
-1075, 2, 144
Find s, given that s**2/6 + 4051*s/6 - 2027 = 0.
-4054, 3
Factor w**2/5 - 1303*w/5 + 46842/5.
(w - 1266)*(w - 37)/5
Factor z**4/3 + 683*z**3/3 + 2684*z**2.
z**2*(z + 12)*(z + 671)/3
Factor 2*r**2/13 + 2554*r/13 + 117984/13.
2*(r + 48)*(r + 1229)/13
Factor -3*l**2/4 + 3117*l/4 - 74175/2.
-3*(l - 989)*(l - 50)/4
Solve 3*i**3 + 12*i**2 + 9*i = 0.
-3, -1, 0
Let 13*u**4 + 313*u**3 + 2300*u**2 + 4100*u - 6000 = 0. What is u?
-10, -5, 12/13
Factor -3*u**3 + 4005*u**2 - 1314369*u - 14946657.
-3*(u - 673)**2*(u + 11)
Solve y**4 + 541*y**3 + 72934*y**2 - 200340*y - 36887400 = 0 for y.
-270, -23, 22
Solve 15*p**5/7 + 153*p**4/7 - 1335*p**3/7 + 1107*p**2/7 + 3156*p/7 + 576/7 = 0.
-16, -1, -1/5, 3, 4
Factor r**2/2 + 31788*r + 505238472.
(r + 31788)**2/2
What is c in -3*c**5/7 + 2181*c**4/7 + 15441*c**3/7 - 19629*c**2/7 - 19818*c = 0?
-7, -3, 0, 3, 734
Let 5*f**4/9 - 1357*f**3/9 + 2819*f**2/3 + 6109*f/9 - 3710/9 = 0. What is f?
-1, 2/5, 7, 265
Fa