, -1/4, 21
Determine m so that -m**3/2 - 4*m**2 + 61*m/2 - 26 = 0.
-13, 1, 4
Find x, given that -4*x**2/9 - 19352*x/3 - 23406244 = 0.
-7257
Factor 2*h**2 + 984*h - 69930.
2*(h - 63)*(h + 555)
Let 2*v**2 + 428600*v + 22962245000 = 0. What is v?
-107150
Let 8*s**4/13 - 16126*s**3/13 + 44296*s**2/13 - 20126*s/13 - 8052/13 = 0. Calculate s.
-1/4, 1, 2, 2013
Solve 3*x**2/2 + 3897*x + 69660 = 0.
-2580, -18
Let 3*d**3 + 55818*d**2 + 111627*d + 55812 = 0. What is d?
-18604, -1
Factor -2*m**2 + 2674*m.
-2*m*(m - 1337)
Suppose 4*q**5/5 + 106828*q**4/5 + 713210424*q**3/5 - 713530928*q**2/5 - 1426634528*q/5 = 0. What is q?
-13354, -1, 0, 2
Factor -k**2/8 - 48*k - 191/2.
-(k + 2)*(k + 382)/8
Determine r, given that -2*r**3/19 - 106*r**2 + 4042*r/19 + 6054/19 = 0.
-1009, -1, 3
Solve 31*p**2/3 + 203*p/3 + 34 = 0.
-6, -17/31
Suppose -10*p**4 + 125*p**3 + 1950*p**2 - 18900*p + 29160 = 0. Calculate p.
-27/2, 2, 6, 18
Factor 4*v**3 - 316952*v**2 - 1267856*v - 1267872.
4*(v - 79242)*(v + 2)**2
Let -3*q**5/4 + 63*q**4/2 - 1263*q**3/4 + 981*q**2 - 696*q = 0. Calculate q.
0, 1, 4, 8, 29
Factor -2*k**2/3 + 144*k - 23296/3.
-2*(k - 112)*(k - 104)/3
What is z in -34375*z**5 + 72250*z**4 - 52425*z**3 + 16810*z**2 - 2380*z + 120 = 0?
3/25, 2/11, 2/5, 1
Let 2*q**2/5 + 3464*q/5 + 820134/5 = 0. What is q?
-1449, -283
Suppose -p**4/2 + 17*p**3/2 - 50*p**2 + 114*p - 72 = 0. What is p?
1, 4, 6
Determine m so that 3*m**5/2 + 345*m**4/2 + 12081*m**3/2 + 120639*m**2/2 + 103200*m + 48750 = 0.
-50, -13, -1
Solve d**2 + 138*d + 2736 = 0 for d.
-114, -24
Find i such that -15*i**4 + 8961*i**3 + 14367*i**2 + 5391*i = 0.
-1, -3/5, 0, 599
Determine j, given that -3*j**5/2 - 264*j**4 - 12624*j**3 - 88704*j**2 - 169344*j = 0.
-84, -4, 0
Suppose 4*t**4 - 2596*t**3 - 5204*t**2 - 2604*t = 0. What is t?
-1, 0, 651
Factor -2*n**4 + 38*n**3 + 1888*n**2 + 1848*n.
-2*n*(n - 42)*(n + 1)*(n + 22)
Factor 514*f**2 - 55508*f - 432.
2*(f - 108)*(257*f + 2)
Suppose -h**5 - 3096*h**4 - 2414772*h**3 - 28533168*h**2 = 0. What is h?
-1542, -12, 0
Factor 2*w**2 - 872951*w + 436475.
(w - 436475)*(2*w - 1)
Let 5*q**3 - 7045*q**2 + 3194395*q - 457617275 = 0. What is q?
295, 557
Factor u**2 + 1110*u - 8944.
(u - 8)*(u + 1118)
Find o, given that -2*o**5 - 219*o**4 - 6780*o**3 - 22279*o**2 + 930144*o - 900864 = 0.
-48, -23, 1, 17/2
Factor 49128*a**2 - 393022*a - 16.
2*(a - 8)*(24564*a + 1)
Let 2*w**2/3 + 45164*w/3 - 210896 = 0. What is w?
-22596, 14
Factor -14847*m**4 + 59382*m**3 + 24*m**2.
-3*m**2*(m - 4)*(4949*m + 2)
Factor 2*o**2/7 + 16332*o/7 - 491760/7.
2*(o - 30)*(o + 8196)/7
Factor 2*f**2/9 - 1894*f/9 + 18740/9.
2*(f - 937)*(f - 10)/9
Find x such that 6*x**4/5 - 802*x**3/5 + 25396*x**2/5 - 138328*x/5 + 81168/5 = 0.
2/3, 6, 38, 89
Determine u, given that 27*u**4 - 249*u**3 - 4914*u**2 + 23136*u - 4896 = 0.
-12, 2/9, 4, 17
Let r**3/5 - 181*r**2/5 + 3924*r/5 - 3744/5 = 0. Calculate r.
1, 24, 156
Find f, given that -2*f**5/7 + 426*f**4/7 + 4534*f**3/7 - 16554*f**2/7 + 11596*f/7 = 0.
-13, 0, 1, 2, 223
Find c such that 4*c**5 + 6288*c**4 + 62624*c**3 + 225144*c**2 + 337500*c + 168696 = 0.
-1562, -3, -1
Solve -v**4/2 - 4383*v**3/2 + 21937*v**2/2 - 13173*v/2 - 19746 = 0 for v.
-4388, -1, 3
Suppose 64*q**5/3 - 7296*q**4 - 66092*q**3/3 - 17006*q**2 - 14486*q/3 - 460 = 0. What is q?
-2, -1/2, -1/4, 345
Solve -q**3 + 31731*q**2 + 126945*q - 158675 = 0.
-5, 1, 31735
Suppose 2*w**2/5 + 2312*w + 11550 = 0. What is w?
-5775, -5
Let -3*i**4 - 1371*i**3 - 26079*i**2 + 61815*i + 86526 = 0. Calculate i.
-437, -22, -1, 3
Solve -3*f**2 - 185304*f - 185301 = 0.
-61767, -1
Factor -u**5/2 - 5*u**4 + 10*u**3 + 55*u**2 + 125*u/2 + 22.
-(u - 4)*(u + 1)**3*(u + 11)/2
Factor 3*d**2/2 - 567*d/2 - 54339.
3*(d - 307)*(d + 118)/2
Factor -2*v**2/7 + 7600*v/7 - 7598/7.
-2*(v - 3799)*(v - 1)/7
What is i in 3*i**4/8 + 15*i**3/8 - 21*i**2/4 - 27*i/2 + 27 = 0?
-6, -3, 2
Find t such that t**3/3 - 22*t**2/3 + 127*t/3 - 70 = 0.
3, 5, 14
Suppose 2*a**4/3 + 956*a**3 + 1031042*a**2/3 + 684496*a + 1025312/3 = 0. Calculate a.
-716, -1
Solve 3*p**2 - 187650*p + 2934376875 = 0 for p.
31275
What is g in 2*g**2/9 + 8362*g/3 = 0?
-12543, 0
Factor 2*q**2/5 - 488*q/5 - 31482/5.
2*(q - 297)*(q + 53)/5
Let 3*a**3/4 + 2265*a**2/4 - 169575*a/4 + 3031875/4 = 0. Calculate a.
-825, 35
Factor r**2 + 6149*r/3 - 120002/3.
(r + 2069)*(3*r - 58)/3
Let 2*d**2/3 - 2489644*d/3 + 774790905842/3 = 0. What is d?
622411
Determine o so that -2*o**4/9 + 62*o**3/3 - 5230*o**2/9 + 11258*o/3 + 25688 = 0.
-4, 19, 39
Factor 2*l**3/7 + 76*l**2/7 - 246*l/7.
2*l*(l - 3)*(l + 41)/7
What is a in 25*a**5 - 1790*a**4 + 37830*a**3 - 164380*a**2 - 1008895*a - 374790 = 0?
-3, -2/5, 13, 31
Factor 3*s**2 + 82176*s + 82173.
3*(s + 1)*(s + 27391)
Factor 2*m**2/5 - 14476*m/5 - 57936/5.
2*(m - 7242)*(m + 4)/5
Factor -2*h**3/7 - 208*h**2/7 - 742*h + 11236/7.
-2*(h - 2)*(h + 53)**2/7
Factor c**3 - 12*c**2 - 1225*c - 4644.
(c - 43)*(c + 4)*(c + 27)
Factor 2*r**3/11 + 1162*r**2/11 - 3500*r/11 + 2336/11.
2*(r - 2)*(r - 1)*(r + 584)/11
Factor 18*d**2 + 1065*d + 3972.
3*(d + 4)*(6*d + 331)
Factor 2*y**4 + 52884*y**3.
2*y**3*(y + 26442)
Factor 66*b**2 - 91612*b + 5552.
2*(b - 1388)*(33*b - 2)
Factor -3*b**4 + 3042*b**3 + 9144*b**2 + 9150*b + 3051.
-3*(b - 1017)*(b + 1)**3
Factor 5*w**3/6 - 5780*w**2/3 - 58550*w.
5*w*(w - 2342)*(w + 30)/6
Solve 4*x**3 - 112*x**2 - 560*x + 9600 = 0 for x.
-10, 8, 30
Let -3*r**5/2 + 5757*r**4/2 + 23079*r**3/2 - 5757*r**2/2 - 11538*r = 0. Calculate r.
-4, -1, 0, 1, 1923
Factor -p**3/4 - 163*p**2/4 + 1343*p/2 + 712.
-(p - 16)*(p + 1)*(p + 178)/4
Solve -600*q**5 - 499*q**4 + 1331*q**3 - 171*q**2 - 59*q - 2 = 0.
-2, -1/8, -1/25, 1/3, 1
Factor 4*m**3/3 + 8676*m**2 + 52028*m/3 - 26020.
4*(m - 1)*(m + 3)*(m + 6505)/3
Factor -3*n**5/2 - 13*n**4/6 - 2*n**3/3.
-n**3*(n + 1)*(9*n + 4)/6
Factor i**5 - 392*i**4 + 51481*i**3 - 2298790*i**2 + 4444700*i - 2197000.
(i - 130)**3*(i - 1)**2
Let -8*w**2 - 743498*w - 185874 = 0. What is w?
-92937, -1/4
What is q in 3*q**2/7 + 18*q - 40467 = 0?
-329, 287
Let -5*p**3 + 65290*p**2 - 212943200*p - 1280010720 = 0. What is p?
-6, 6532
Find g such that -g**4 - 855134*g**3 - 182812684353*g**2 + 365627934112*g - 182814394624 = 0.
-427568, 1
Solve -3*f**3 - 427*f**2 + 1155*f - 725 = 0.
-145, 1, 5/3
Factor 18*j**4 + 30*j**3 - 22*j**2 - 22*j - 4.
2*(j - 1)*(j + 2)*(3*j + 1)**2
Factor 3*p**4 + 1197*p**3 + 10554*p**2 + 9360*p.
3*p*(p + 1)*(p + 8)*(p + 390)
Suppose -k**4/3 - 671*k**3/3 - 6523*k**2/3 + 19121*k - 31728 = 0. What is k?
-661, -16, 3
Factor -2*f**2 - 226008*f - 6384952008.
-2*(f + 56502)**2
Factor -3*g**2/2 - 592923*g - 117185894643/2.
-3*(g + 197641)**2/2
Let 2*r**2 + 20448*r + 52265088 = 0. What is r?
-5112
Suppose 3*u**4/5 - 162*u**3 + 51291*u**2/5 + 463704*u/5 = 0. What is u?
-8, 0, 139
Factor 5*s**5 + 85*s**4 - 510*s**3 - 1350*s**2 + 10665*s - 14175.
5*(s - 3)**3*(s + 5)*(s + 21)
What is m in 2*m**2 + 7688*m + 46056 = 0?
-3838, -6
Find g, given that -5*g**4/4 + 83*g**3 - 757*g**2/4 - 355*g/2 + 96 = 0.
-1, 2/5, 3, 64
Factor -q**2 + 930*q - 1856.
-(q - 928)*(q - 2)
Solve 2295*i**3 - 6905*i**2 - 9120*i + 80 = 0 for i.
-1, 4/459, 4
Factor 3*z**3/7 + 45*z**2 + 4464*z/7 - 219108/7.
3*(z - 19)*(z + 62)**2/7
Determine n so that 2*n**2/7 + 500*n - 70800/7 = 0.
-1770, 20
Factor 4*u**2 + 262160*u + 4295491600.
4*(u + 32770)**2
Determine g so that -5*g**4 - 222019*g**3/2 - 421811*g**2/2 - 122101*g - 22200 = 0.
-22200, -1, -1/2, -2/5
Suppose 2*i**5/23 - 7782*i**4/23 - 38974*i**3/23 + 54534*i**2/23 + 38972*i/23 - 46752/23 = 0. Calculate i.
-6, -1, 1, 3896
Solve 3*r**5 + 1437*r**4 + 8553*r**3 + 18483*r**2 + 17040*r + 5676 = 0 for r.
-473, -2, -1
Factor n**2/5 + 6411*n/5 + 1282.
(n + 1)*(n + 6410)/5
Let 4*j**4 + 7016*j**3 + 14020*j**2 + 7008*j = 0. What is j?
-1752, -1, 0
Factor -4*u**3 - 7740*u**2 - 7712*u + 46416.
-4*(u - 2)*(u + 3)*(u + 1934)
What is q in -q**2 + 197004*q - 9702644004 = 0?
98502
Factor r**2 + 1254*r + 12440.
(r + 10)*(r + 1244)
Factor 3*x**2/7 + 4221408*x/7 + 1485023791872/7.
3*(x + 703568)**2/7
Find g, given that g**2/4 + 152572*g + 23278215184 = 0.
-305144
Find j, given that -j**4/2 - 11*j**3/2 + 119*j**2/2 - 141*j/2 - 135 = 0.
-18, -1, 3, 5
Factor -2*j**3/5 - 26*j**2/5 + 904*j/5 + 5928/5.
-2*(j - 19)*(j + 6)*(j + 26)/5
Factor 4*o**4 + 1