)*(a - 15)*(a - 7)/3
Factor -2*i**3 - 24*i**2 + 170*i + 672.
-2*(i - 7)*(i + 3)*(i + 16)
Factor q**2/4 - 721*q + 10045.
(q - 2870)*(q - 14)/4
Factor -5*i**3 - 8955*i**2 + 44900*i.
-5*i*(i - 5)*(i + 1796)
Factor -5*x**2 + 3795*x - 651070.
-5*(x - 497)*(x - 262)
Let -3*z**4/4 + 3*z**3 + 3567*z**2/4 + 888*z = 0. What is z?
-32, -1, 0, 37
Factor 2*u**2/11 + 1351040*u/11 + 228163635200/11.
2*(u + 337760)**2/11
Suppose z**4 - 3129*z**3 - 18798*z**2 - 37612*z - 25080 = 0. What is z?
-2, 3135
Find t such that t**2/2 + 8377*t - 16755/2 = 0.
-16755, 1
Suppose -3*o**5/4 + 69*o**4 - 135*o**3/2 - 69*o**2 + 273*o/4 = 0. Calculate o.
-1, 0, 1, 91
Find z such that -58*z**3 + 17968*z**2 - 14202*z - 3708 = 0.
-6/29, 1, 309
Factor 109*n**2/4 + 3709*n/2 + 102.
(n + 68)*(109*n + 6)/4
What is s in 2*s**4/5 - 618*s**3/5 - 18872*s**2/5 = 0?
-28, 0, 337
Factor -g**3 + 63*g**2 - 848*g - 4464.
-(g - 36)*(g - 31)*(g + 4)
Let 4*m**2 - 70568*m + 311240164 = 0. What is m?
8821
Find r, given that r**5 - 78*r**4/11 - 24*r**3 + 1168*r**2/11 + 4464*r/11 + 3744/11 = 0.
-2, 6, 78/11
Suppose -2*c**2/5 - 419008*c/5 = 0. What is c?
-209504, 0
Let -2446*f**2/7 - 31802*f/7 - 52/7 = 0. What is f?
-13, -2/1223
What is p in -7605*p**5 + 850980*p**4 - 12780320*p**3 - 1317520*p**2 - 33840*p = 0?
-2/39, 0, 18, 94
Factor -x**2 - 378008*x - 35722512016.
-(x + 189004)**2
Determine r so that 2*r**4 + 92*r**3 + 78*r**2 - 540*r = 0.
-45, -3, 0, 2
Determine j, given that -4*j**5 - 52408*j**4/3 + 560140*j**3/3 - 1068328*j**2/3 - 140096*j = 0.
-4378, -1/3, 0, 3, 8
Solve p**3/2 - 404*p**2 + 807*p/2 = 0 for p.
0, 1, 807
Suppose h**4/2 + 71*h**3/2 + 67*h**2 - 142*h - 276 = 0. What is h?
-69, -2, 2
Suppose q**3 - 540*q**2 + 93933*q - 5315814 = 0. What is q?
147, 246
Let 3*c**4 - 99*c**3 + 519*c**2 + 4671*c + 6426 = 0. What is c?
-3, -2, 17, 21
Determine q so that -q**2 - 17165*q - 17164 = 0.
-17164, -1
Find k, given that 4*k**5/7 - 312*k**4/7 - 2172*k**3 - 139528*k**2/7 + 155040*k/7 = 0.
-20, -17, 0, 1, 114
Suppose 4*y**5 - 1088*y**4 - 52928*y**3 - 833728*y**2 - 4932928*y - 6936832 = 0. What is y?
-14, -2, 316
Determine q, given that -25*q**3 + 213735*q**2 + 128260*q - 85500 = 0.
-1, 2/5, 8550
Let p**2 - 115963*p - 347898 = 0. What is p?
-3, 115966
Factor x**4/7 - 236*x**3/7 + 1380*x**2/7 + 32*x/7 - 7360/7.
(x - 230)*(x - 4)**2*(x + 2)/7
What is j in j**2/4 - 7033*j - 14067 = 0?
-2, 28134
Solve 2*f**2/11 + 54*f + 42804/11 = 0.
-174, -123
Factor 15*h**4 - 21350*h**3 + 7115*h**2.
5*h**2*(h - 1423)*(3*h - 1)
Determine a so that 4*a**3 - 11248*a**2 - 272256*a = 0.
-24, 0, 2836
Find p, given that 18*p**4 + 15880998*p**3 + 10587326*p**2 + 1764554*p = 0.
-882277, -1/3, 0
Find n, given that -288*n**5 + 40984*n**4 + 283492*n**3 + 561492*n**2 + 257580*n - 16092 = 0.
-3, -3/4, 1/18, 149
Solve d**5/7 + 458*d**4/7 + 7812*d**3 + 514328*d**2/7 + 202240*d + 172032 = 0.
-224, -6, -2
Factor -4*f**2 - 1626*f - 2430.
-2*(f + 405)*(2*f + 3)
Find o such that 52*o**5/7 + 9924*o**4/7 - 52384*o**3/7 + 28624*o**2/7 + 78336*o/7 - 1792 = 0.
-196, -1, 2/13, 2, 4
What is n in -5*n**5 - 2221*n**4 - 30789*n**3 - 111419*n**2 - 21070*n = 0?
-430, -7, -1/5, 0
Factor -3*s**3 - 145*s**2 - 1749*s - 567.
-(s + 21)*(s + 27)*(3*s + 1)
Factor 4*q**4 - 616*q**3 - 624*q**2 + 616*q + 620.
4*(q - 155)*(q - 1)*(q + 1)**2
Suppose -4*a**3/9 + 904*a**2/9 + 19964*a/9 - 3317888/3 = 0. What is a?
-96, 161
Factor -2*x**3 - 7830*x**2.
-2*x**2*(x + 3915)
Factor -2*l**2/13 - 22534*l/13 - 44964.
-2*(l + 26)*(l + 11241)/13
Solve 15*i**2 - 2031*i + 5958 = 0 for i.
3, 662/5
Solve -2*r**5/9 + 230*r**4/3 - 59158*r**3/9 - 62618*r**2/9 + 26296*r + 239432/9 = 0 for r.
-2, -1, 2, 173
Suppose -3*k**3 - 54393*k**2 + 272028*k - 217632 = 0. What is k?
-18136, 1, 4
Solve -2*x**3 + 3378*x**2 - 6748*x = 0.
0, 2, 1687
Factor -5*z**3 + 5455*z**2 - 1228920*z - 146941200.
-5*(z - 588)**2*(z + 85)
Find a such that 2*a**5/15 + 152*a**4/15 + 1796*a**3/15 - 2104*a**2/15 - 1798*a/15 + 1952/15 = 0.
-61, -16, -1, 1
Find q, given that -2*q**2 + 189552*q + 189554 = 0.
-1, 94777
Factor 3*u**2/2 + 302181*u/2 - 151092.
3*(u - 1)*(u + 100728)/2
Let -m**4/3 + 217*m**3/3 - 2855*m**2/3 + 2639*m/3 = 0. What is m?
0, 1, 13, 203
Find x such that -10*x**2/9 + 1174*x/9 - 52 = 0.
2/5, 117
Factor 2*y**2/7 + 177904*y/7 - 177906/7.
2*(y - 1)*(y + 88953)/7
Let 3*l**2 + 591*l + 24186 = 0. Calculate l.
-139, -58
Factor 2*w**2/11 - 379520*w/11 + 18004428800/11.
2*(w - 94880)**2/11
Find n, given that -1396*n**5 - 48880*n**4 - 451608*n**3 - 409904*n**2 - 5780*n = 0.
-17, -1, -5/349, 0
Let z**2/7 - 6259*z + 43812/7 = 0. Calculate z.
1, 43812
Factor t**2 - 265*t + 12154.
(t - 206)*(t - 59)
Find b, given that -b**2 - 13502*b + 27008 = 0.
-13504, 2
Determine t, given that -2*t**2/11 + 17792*t/11 - 39569408/11 = 0.
4448
Factor 2*d**5 - 2984*d**4 + 1118976*d**3 - 4428288*d**2.
2*d**2*(d - 744)**2*(d - 4)
Factor -2*y**2 - 991236*y - 122818600962.
-2*(y + 247809)**2
Let 3*d**4/5 + 849*d**3/5 + 72366*d**2/5 + 1663584*d/5 + 3044448/5 = 0. Calculate d.
-124, -33, -2
Determine j so that -39*j**4 - 13617*j**3 - 1222950*j**2 - 5956704*j - 887520 = 0.
-172, -5, -2/13
Factor 2*n**2/17 + 274*n/17 + 540/17.
2*(n + 2)*(n + 135)/17
Determine q so that 21*q**4 - 202*q**3 - 23023*q**2 + 14308*q - 2204 = 0.
-29, 2/7, 1/3, 38
Suppose -2*r**3/3 - 256871*r**2/3 + 128437*r/3 + 42812 = 0. Calculate r.
-128436, -1/2, 1
Determine h, given that 5*h**2 - 570*h - 9675 = 0.
-15, 129
Factor -z**2/10 - 8903*z/5 - 17804/5.
-(z + 2)*(z + 17804)/10
Solve 69*r**3/5 + 222*r**2/5 + 168*r/5 = 0 for r.
-2, -28/23, 0
What is z in -2*z**3 + 4964*z**2 - 39616*z + 79168 = 0?
4, 2474
Suppose 3*f**5/2 + 2772*f**4 + 22110*f**3 + 55224*f**2 + 44160*f = 0. What is f?
-1840, -4, -2, 0
Factor x**2/2 - 9345*x + 18688.
(x - 18688)*(x - 2)/2
Find j, given that -j**2/4 - 545*j + 159821/4 = 0.
-2251, 71
Solve 3*c**3/7 - 699*c**2/7 + 288*c + 12420/7 = 0 for c.
-3, 6, 230
Solve -u**4/2 + 209*u**3/2 - 10889*u**2/2 - 209*u/2 + 5445 = 0 for u.
-1, 1, 99, 110
Find j, given that 5*j**2 + 655*j + 21170 = 0.
-73, -58
Factor -1176*t**4 - 4707*t**3 - 12*t**2.
-3*t**2*(t + 4)*(392*t + 1)
Factor -243357*n**2 - 243375*n - 18.
-3*(n + 1)*(81119*n + 6)
Suppose -p**4/3 - 41141*p**3/3 + p**2 + 123425*p/3 + 82282/3 = 0. What is p?
-41141, -1, 2
Factor n**4/3 - 6253*n**3/3 - 4170*n**2.
n**2*(n - 6255)*(n + 2)/3
Find h, given that 2*h**2/7 - 321480*h/7 + 12918673800/7 = 0.
80370
Determine x so that -3*x**3 - 2445*x**2 - 131325*x + 171070125 = 0.
-515, 215
Factor 3*v**2/8 + 55881*v/2 + 223521/8.
3*(v + 1)*(v + 74507)/8
Let -3*n**3 - 36*n**2 - 141*n - 180 = 0. Calculate n.
-5, -4, -3
Let 3*g**2/5 + 942*g/5 + 61659/5 = 0. What is g?
-221, -93
Solve t**2/7 + 594345*t/7 + 594344/7 = 0.
-594344, -1
Factor 5*v**3/4 + 203*v**2/4 + 1019*v/4 + 1365/4.
(v + 3)*(v + 35)*(5*v + 13)/4
Factor 2*v**3/7 + 102*v**2/7 - 2144*v/7.
2*v*(v - 16)*(v + 67)/7
Factor -4*s**3/7 + 1632*s**2/7 - 2052*s.
-4*s*(s - 399)*(s - 9)/7
Factor -4*f**4/7 + 892*f**3/7 + 16920*f**2/7 + 103248*f/7 + 208224/7.
-4*(f - 241)*(f + 6)**3/7
Let c**2 + 159*c + 3770 = 0. Calculate c.
-130, -29
What is k in k**2 - 6002*k - 6003 = 0?
-1, 6003
What is q in -6*q**2/7 + 1164*q/7 + 56160/7 = 0?
-40, 234
Solve 2927521*t**2/12 - 1711*t/6 + 1/12 = 0 for t.
1/1711
Solve 2*a**3 - 590*a**2 - 12528*a - 22680 = 0 for a.
-18, -2, 315
Suppose -5*o**3 - 1715*o**2 + 192690*o + 194400 = 0. Calculate o.
-432, -1, 90
Suppose f**3/3 - 92*f**2/3 - 1276*f/3 + 2912/3 = 0. What is f?
-14, 2, 104
Suppose -z**4/8 - 47*z**3/8 + z**2/8 + 47*z/8 = 0. Calculate z.
-47, -1, 0, 1
What is r in -r**3/7 - 2680*r**2/7 - 8033*r/7 - 5354/7 = 0?
-2677, -2, -1
Determine h, given that h**4 - 43*h**3 + 432*h**2 - 308*h - 784 = 0.
-1, 2, 14, 28
Factor 2*l**2 + 23714*l - 23716.
2*(l - 1)*(l + 11858)
Suppose -w**4/2 + 6509*w**3/2 - 6503*w**2/2 - 32537*w/2 - 9762 = 0. Calculate w.
-1, 3, 6508
Factor 2*t**5 + 394*t**4 + 18382*t**3 - 102010*t**2.
2*t**2*(t - 5)*(t + 101)**2
Solve 3*n**3/5 - 64596*n**2/5 - 516912*n/5 - 206784 = 0 for n.
-4, 21540
Factor -2*p**3/9 + 400*p**2/9 + 442*p/9 - 2680/3.
-2*(p - 201)*(p - 4)*(p + 5)/9
Factor 5*a**2 - 18000*a + 16200000.
5*(a - 1800)**2
Factor s**3 - 781*s**2 + 4655*s - 3875.
(s - 775)*(s - 5)*(s - 1)
Factor 2*o**2 + 13354*o + 1211640.
2*(o + 