
-125, -25, -1, 0
Factor 5*q**2/3 + 21120*q + 253360/3.
5*(q + 4)*(q + 12668)/3
Suppose -4*h**3/23 - 70*h**2/23 + 406*h/23 + 220/23 = 0. What is h?
-22, -1/2, 5
Let 3*t**4 - 102*t**3 + 720*t**2 + 6144*t - 61440 = 0. What is t?
-8, 10, 16
Factor t**3 - 1588*t**2 + 48435*t - 261576.
(t - 1557)*(t - 24)*(t - 7)
Let 2*l**4 - 24616*l**3/3 - 24646*l**2/3 + 98464*l/3 + 98488/3 = 0. Calculate l.
-2, -1, 2, 12311/3
Factor 5*l**3 + 55*l**2 - 200*l + 140.
5*(l - 2)*(l - 1)*(l + 14)
Factor j**3/4 - 31*j**2/2 + 341*j/4 - 70.
(j - 56)*(j - 5)*(j - 1)/4
Let -5*i**2/3 + 1192570*i/3 - 71111160245/3 = 0. What is i?
119257
Factor 3*p**2/5 - 40707*p/5.
3*p*(p - 13569)/5
Let -13035*o**2 + 26060*o + 20 = 0. What is o?
-2/2607, 2
Suppose n**2/7 - 66*n/7 - 3267/7 = 0. Calculate n.
-33, 99
Factor -z**3/5 - 623*z**2/5 + 2508*z/5.
-z*(z - 4)*(z + 627)/5
Factor -3*x**2 - 3114*x + 3117.
-3*(x - 1)*(x + 1039)
Factor m**2 + 23129*m - 231390.
(m - 10)*(m + 23139)
Find b such that b**2 + 29336*b = 0.
-29336, 0
Let -2*t**2/13 + 496*t/13 - 470 = 0. Calculate t.
13, 235
Let -f**2/6 - 109226*f/3 - 5965159538/3 = 0. What is f?
-109226
Solve -6*r**5/7 + 47680*r**4/7 - 94692470*r**3/7 - 126357300*r**2/7 + 31553560*r/7 + 63170704/7 = 0.
-1, 2/3, 3974
Find m, given that 12*m**3 - 86620*m**2 + 115476*m - 28868 = 0.
1/3, 1, 7217
Factor 3*d**3/2 + 531*d**2/2 + 5973*d/2 + 5445/2.
3*(d + 1)*(d + 11)*(d + 165)/2
Factor -c**3/2 + 7777*c**2/2 - 15116543*c/2 - 15124321/2.
-(c - 3889)**2*(c + 1)/2
Factor -17*m**3 - 142*m**2 + 68*m + 568.
-(m - 2)*(m + 2)*(17*m + 142)
Determine l, given that -3*l**5 - 63*l**4 + 321*l**3 + 423*l**2 - 2478*l + 1800 = 0.
-25, -3, 1, 2, 4
Factor -2*l**2 - 354720*l - 15728284800.
-2*(l + 88680)**2
Factor t**2/6 + 67*t/6 - 8350/3.
(t - 100)*(t + 167)/6
Find w such that w**2/3 + 172*w - 17536/3 = 0.
-548, 32
Determine s so that -2*s**3 + 86*s**2 + 3352*s + 3264 = 0.
-24, -1, 68
Find u, given that -3*u**4/2 - 3162*u**3 - 6309*u**2/2 + 12648*u + 12642 = 0.
-2107, -2, -1, 2
Factor 178*l**4/3 - 592*l**3/5 + 294*l**2/5 + 4*l/15.
2*l*(l - 1)**2*(445*l + 2)/15
Let a**2/8 - 425*a/2 + 180625/2 = 0. Calculate a.
850
Find m such that -3*m**5 + 292470*m**4 - 292467*m**3 = 0.
0, 1, 97489
Let -5*u**2/4 - 24285*u - 117952245 = 0. Calculate u.
-9714
Factor 3*i**3/4 + 8673*i**2/2 - 173685*i/4 + 108600.
3*(i - 5)**2*(i + 5792)/4
Factor 2*f**4/3 + 200*f**3 + 26696*f**2/3 - 915200*f + 41879552/3.
2*(f - 26)**2*(f + 176)**2/3
Suppose -3645*v**2 + 269190*v - 4970045 = 0. Calculate v.
997/27
Let 2*m**5/7 + 1100*m**4/7 - 1128*m**3/7 - 14276*m**2/7 + 27526*m/7 - 13224/7 = 0. Calculate m.
-551, -4, 1, 3
Suppose -3*t**5/4 - 153*t**4/2 + 705*t**3/4 + 2106*t**2 - 81*t - 8424 = 0. What is t?
-104, -3, 2, 6
Factor -2*p**3/3 - 30818*p**2/3 - 492704*p/3 - 656768.
-2*(p + 8)**2*(p + 15393)/3
What is j in 5*j**3 - 5820*j**2 - 46800*j - 93760 = 0?
-4, 1172
Factor g**3/9 - 62*g**2/9 + 140*g - 936.
(g - 26)*(g - 18)**2/9
Factor -4*a**3 - 80*a**2 - 364*a.
-4*a*(a + 7)*(a + 13)
Suppose g**4/6 - 26*g**3 + 1165*g**2/6 + 467*g + 740/3 = 0. What is g?
-1, 10, 148
Suppose -10*s**4 + 126*s**3 + 10*s**2 - 126*s = 0. What is s?
-1, 0, 1, 63/5
Find p such that 3*p**5/7 + 2817*p**4/7 - 60138*p**3/7 + 328380*p**2/7 + 55800*p/7 - 1728000/7 = 0.
-960, -2, 3, 10
Suppose 5*g**2/4 - 293095*g/2 + 17180935805/4 = 0. Calculate g.
58619
Factor -m**4/2 + 4421*m**3/3.
-m**3*(3*m - 8842)/6
Determine p, given that 35*p**3 + 93355*p**2 + 5233620*p + 1487700 = 0.
-2610, -57, -2/7
Factor u**4/3 + 2255*u**3/3 + 602988*u**2 + 622944592*u/3 + 78489117632/3.
(u + 436)**3*(u + 947)/3
Determine i so that i**4/3 + 28*i**3/3 - 114*i**2 - 84*i + 999 = 0.
-37, -3, 3, 9
Factor -2*b**2/5 + 64*b/5 + 168.
-2*(b - 42)*(b + 10)/5
Determine u so that -2*u**4/3 - 14168*u**3/3 - 25077356*u**2/3 + 16732408*u - 8368566 = 0.
-3543, 1
Solve 108*n**5 - 864*n**4 - 93*n**3 + 723*n**2 + 174*n - 48 = 0.
-2/3, -1/2, 1/6, 1, 8
Factor -5*r**2 + 1787870*r - 159823956845.
-5*(r - 178787)**2
What is x in -22*x**2/5 + 21498*x/5 - 3908/5 = 0?
2/11, 977
Suppose -3*p**4 + 4152*p**3 + 16653*p**2 + 4182*p - 24984 = 0. Calculate p.
-3, -2, 1, 1388
Factor 2*g**2/11 - 1498*g/11 + 10388/11.
2*(g - 742)*(g - 7)/11
Factor g**5/7 + 15*g**4/7 + 9*g**3 + 7*g**2.
g**2*(g + 1)*(g + 7)**2/7
Suppose -3*w**4 + 222*w**3 - 3960*w**2 = 0. Calculate w.
0, 30, 44
Factor 5*u**4 - 55910*u**3 + 156240485*u**2 + 312648720*u + 156352320.
5*(u - 5592)**2*(u + 1)**2
Factor -2*r**2/3 - 47674*r/3 + 95356/3.
-2*(r - 2)*(r + 23839)/3
Suppose -8464*o**2/7 - 488520*o/7 - 7049025/7 = 0. What is o?
-2655/92
Find x such that 13610*x**4 + 27205*x**3 - 68080*x**2 - 81585*x + 90 = 0.
-3, -1, 3/2722, 2
Solve 4*a**4/3 - 88*a**3/3 - 12332*a**2/3 - 4080*a = 0 for a.
-45, -1, 0, 68
Suppose 50*b**5 + 2880*b**4 - 2568*b**3 - 78592*b**2 + 178176*b = 0. Calculate b.
-58, -6, 0, 16/5
Determine w, given that -3*w**4 - 10308*w**3 - 11799216*w**2 - 4491540720*w + 9030360816 = 0.
-1146, 2
Determine j, given that -6291*j**2/2 + 6289*j/2 + 1 = 0.
-2/6291, 1
Solve 3*j**5 + 147*j**4 + 2214*j**3 + 8160*j**2 - 26400*j = 0.
-20, -11, 0, 2
Suppose -3*s**3 - 3*s**2 + 432*s + 432 = 0. Calculate s.
-12, -1, 12
Determine k so that -3*k**5 + 21*k**4 + 39*k**3 - 417*k**2 - 72*k + 2160 = 0.
-3, 4, 5
Solve g**2/7 + 107806*g + 20338733863 = 0 for g.
-377321
Suppose 142384*m**2 + 35564*m - 8 = 0. Calculate m.
-1/4, 2/8899
Factor -3*t**2/2 + 836661*t/2.
-3*t*(t - 278887)/2
Determine w so that 4*w**2 + 5296*w - 5300 = 0.
-1325, 1
Factor s**3/3 + 37337*s**2/3 + 348531560*s/3 + 348494224/3.
(s + 1)*(s + 18668)**2/3
Factor -5*l**4 + 220*l**3 - 2630*l**2 + 4620*l - 2205.
-5*(l - 21)**2*(l - 1)**2
Factor k**3/2 + 19474*k**2 + 379197725*k/2 - 379275625.
(k - 2)*(k + 19475)**2/2
Determine h, given that -h**2/6 + 3640*h/3 - 6624800/3 = 0.
3640
Determine w, given that 20*w**4 - 10305*w**3 + 33335*w**2 - 28170*w + 5120 = 0.
1/4, 1, 2, 512
Suppose -18*o**5/5 - 988*o**4 - 7138*o**3 + 4712*o**2 + 17088*o/5 = 0. What is o?
-267, -8, -4/9, 0, 1
Determine p so that -p**2 - 4092*p + 4093 = 0.
-4093, 1
Let 26*l**5 + 262*l**4 + 88*l**3 - 2488*l**2 + 2112*l = 0. Calculate l.
-8, -66/13, 0, 1, 2
Factor -4*m**3 - 9092*m**2 - 162360*m.
-4*m*(m + 18)*(m + 2255)
Factor x**2/4 - 277*x/4 + 4080.
(x - 192)*(x - 85)/4
Solve -57579*o**2/5 + 11529*o - 66/5 = 0.
22/19193, 1
Determine f, given that -900*f**3 + 29560*f**2/3 - 22352*f/3 + 4384/3 = 0.
2/5, 274/27
Find g such that -2*g**3/3 + 468964*g**2/3 = 0.
0, 234482
Let -2*a**5/9 - 20*a**4/3 + 28*a**3/3 + 8840*a**2/9 - 5894*a/3 + 980 = 0. What is a?
-21, 1, 10
Determine n so that -4*n**3 + 6748*n**2 - 212864*n + 1694720 = 0.
16, 1655
Suppose 2*u**5/17 - 38*u**4/17 + 46*u**3/17 + 398*u**2/17 - 336*u/17 - 72 = 0. What is u?
-2, 3, 17
Factor 2*z**2 + 16672*z - 183634.
2*(z - 11)*(z + 8347)
Find r, given that 2*r**3 - 6086*r**2 + 229102*r - 2169610 = 0.
19, 3005
Let -3*j**2 - 30822*j + 586701 = 0. What is j?
-10293, 19
What is v in -v**3 + 3054*v**2 - 2253504*v - 120435200 = 0?
-50, 1552
Let 4*m**3 + 500*m**2 + 2344*m - 6720 = 0. What is m?
-120, -7, 2
Factor -2*l**2 - 1444*l - 2880.
-2*(l + 2)*(l + 720)
Solve 3*p**3 + 2151*p**2 + 306153*p - 29811795 = 0.
-391, 65
Factor 3*a**3 - 230364*a**2 - 921492*a - 921504.
3*(a - 76792)*(a + 2)**2
Determine q so that 5*q**3 - 480*q**2 - 13680*q + 1617280 = 0.
-56, 76
Find w, given that 3*w**4 + 17838*w**3 - 214344*w**2 + 857760*w - 1143936 = 0.
-5958, 4
Determine z so that 2*z**4 - 410*z**3 - 35502*z**2 - 635390*z + 671300 = 0.
-35, 1, 274
Solve -9*i**5/2 + 321*i**4 + 11397*i**3/2 + 315*i**2 - 194250*i + 64500 = 0 for i.
-10, 1/3, 5, 86
Suppose -2*q**5/3 + 3104*q**4/3 - 39952*q**3/3 - 95444*q**2/3 + 13318*q + 30780 = 0. What is q?
-2, -1, 1, 15, 1539
Factor 7*f**2 + 446*f - 128.
(f + 64)*(7*f - 2)
Factor -2*k**2/11 + 20608*k/11 + 20610/11.
-2*(k - 10305)*(k + 1)/11
Solve 5*q**3 + 3635*q**2 - 18270*q + 21960 = 0 for q.
-732, 2, 3
Factor -2*c**2 - 44392*c - 44390.
-2*(c + 1)*(c + 22195)
Solve -3*o**2/8 - 55217*o - 147245/8 = 0 for o.
-147245, -1/3
Factor -o**4 + 89*o**3 - 170*o**2 - 356*o + 696.
-(o - 87)*(o - 2)**2*(o + 2)
Factor 2*q**3 + 1315728*q**2 + 216392521248*q.
2*q*(q + 328932)**2
Factor 2*i**2/7 - 1724836*i/7 + 371882403362/7.
2*(i - 431209)**2/7
Factor -3*y**2/4 - 339*y/4 + 35