0680*q**2 + 304260*q = 0. Calculate q.
-6, 0, 10142
Solve -4*x**4 + 4980*x**3 - 1552512*x**2 + 1547536*x = 0 for x.
0, 1, 622
Let 2*s**2/9 + 28*s/3 - 2816/9 = 0. Calculate s.
-64, 22
Factor 4*r**2 + 197580*r - 395176.
4*(r - 2)*(r + 49397)
Determine f so that -2*f**4/3 - 12428*f**3/3 - 12418*f**2 + 74548*f/3 + 99376/3 = 0.
-6211, -4, -1, 2
Determine r, given that 4*r**3 + 21532*r**2 + 28987452*r + 28965924 = 0.
-2691, -1
Find x, given that -x**3/5 - 13522*x**2/5 - 54076*x/5 - 54072/5 = 0.
-13518, -2
Factor -s**3/4 - 7823*s**2/2 - 61230609*s/4 - 61168041.
-(s + 4)*(s + 7821)**2/4
Find t, given that 2*t**3/7 + 1258*t**2/7 + 3760*t/7 + 2504/7 = 0.
-626, -2, -1
Determine f, given that 3*f**4 - 27513*f**3 + 27495*f**2 + 137541*f + 82530 = 0.
-1, 3, 9170
Determine i so that 2*i**3/5 + 16328*i**2/5 + 32642*i/5 - 48972/5 = 0.
-8162, -3, 1
Factor 4*g**4 - 3136*g**3 + 611448*g**2 + 1282752*g - 9266940.
4*(g - 393)**2*(g - 3)*(g + 5)
Let 5*o**4 - 4765*o**3 + 61260*o**2 - 150500*o + 94000 = 0. What is o?
1, 2, 10, 940
Factor -62*o**3 + 735*o**2 - 2124*o - 324.
-(o - 6)**2*(62*o + 9)
Suppose -c**3 + 120*c**2 - 2100*c + 10000 = 0. What is c?
10, 100
Let -4*k**4/3 + 367777*k**3/3 - 3757230264*k**2 + 38384490576960*k - 9595887819264 = 0. Calculate k.
1/4, 30648
Find x such that 4*x**2 - 8220776*x + 4223822377636 = 0.
1027597
Solve -60*f**5 - 1572*f**4 - 6453*f**3 - 8481*f**2 - 1992*f + 1548 = 0.
-43/2, -2, -1, 3/10
Suppose 4*l**2 - 1692*l + 10008 = 0. Calculate l.
6, 417
Determine s, given that -3*s**3/4 + 2119*s**2/4 - 378729*s/4 + 1601613/4 = 0.
13/3, 351
Factor -5*x**2/4 + 2371760*x - 1125049099520.
-5*(x - 948704)**2/4
Factor 2*k**3 + 1232*k**2 + 66838*k + 65608.
2*(k + 1)*(k + 59)*(k + 556)
Find s, given that -s**3 + 79672*s**2 + 79675*s - 159346 = 0.
-2, 1, 79673
Factor 2*u**2 + 169554*u + 508644.
2*(u + 3)*(u + 84774)
Factor -3*t**2/7 + 2055*t/7 - 1746.
-3*(t - 679)*(t - 6)/7
Solve -5*q**2 + 710*q - 705 = 0 for q.
1, 141
Factor 2*f**2 - 855896*f + 855894.
2*(f - 427947)*(f - 1)
Factor 2*c**2/3 - 33740*c/3 - 22496.
2*(c - 16872)*(c + 2)/3
Factor -3*q**3/5 + 117*q**2/5 - 1122*q/5 + 2808/5.
-3*(q - 26)*(q - 9)*(q - 4)/5
Suppose -22*k**5/5 + 5318*k**4/5 + 1364*k**3 - 772*k**2 - 6798*k/5 - 1458/5 = 0. Calculate k.
-1, -3/11, 1, 243
Suppose 12*o**4 - 200*o**3 - 31556*o**2 + 21184*o + 10560 = 0. What is o?
-44, -1/3, 1, 60
Factor -v**2 + 3330*v + 6664.
-(v - 3332)*(v + 2)
What is k in -65*k**5 - 5190*k**4 + 11785*k**3 + 24570*k**2 - 36020*k + 4920 = 0?
-82, -2, 2/13, 1, 3
Factor c**2/4 - 782637*c/2 + 612520673769/4.
(c - 782637)**2/4
Factor -2*r**2 + 296*r - 6344.
-2*(r - 122)*(r - 26)
Solve 5*c**2 + 98630*c + 295845 = 0.
-19723, -3
Factor -o**3/2 - 385*o**2/2 - 15024*o - 332928.
-(o + 48)**2*(o + 289)/2
Factor 2*s**2 - 36*s - 3366.
2*(s - 51)*(s + 33)
Let -2*b**3/3 - 18*b**2 + 1040*b/3 = 0. Calculate b.
-40, 0, 13
Factor -2*c**5 + 3136*c**4 + 3138*c**3.
-2*c**3*(c - 1569)*(c + 1)
Factor 5*g**4 + 6230*g**3 - 69045*g**2 + 113130*g.
5*g*(g - 9)*(g - 2)*(g + 1257)
Factor -2*g**5 - 24*g**4 - 44*g**3 + 168*g**2 - 98*g.
-2*g*(g - 1)**2*(g + 7)**2
Factor 2*x**2 - 237812*x + 7069318418.
2*(x - 59453)**2
Suppose 46305*p**5 - 16200135*p**4 - 18567990*p**3 - 2432110*p**2 - 112315*p - 1755 = 0. What is p?
-1, -1/21, 351
Solve -o**3/7 + 36*o**2/7 - 47*o + 42 = 0.
1, 14, 21
Factor -4*i**2/3 + 308*i.
-4*i*(i - 231)/3
Let 10*m**4 - 2944*m**3 + 21366*m**2 - 36776*m + 11480 = 0. What is m?
2/5, 2, 5, 287
Let 5140*m**4/3 - 43196*m**3/3 - 78072*m**2 - 254032*m/3 + 992/3 = 0. What is m?
-2, 1/257, 62/5
Factor -2*m**2/19 + 1320*m/19 + 2648/19.
-2*(m - 662)*(m + 2)/19
Let v**2/5 + 275*v + 252226/5 = 0. Calculate v.
-1157, -218
Factor -4*v**3/9 + 17936*v**2/9 - 1183756*v/9.
-4*v*(v - 4417)*(v - 67)/9
What is r in 3*r**2/4 + 909*r/4 + 897 = 0?
-299, -4
Find r such that 27*r**4 - 3528*r**3 + 22431*r**2 - 13782*r + 2232 = 0.
1/3, 6, 124
Determine a, given that -2*a**4/15 - 282*a**3/5 + 4264*a**2/15 - 456*a + 3424/15 = 0.
-428, 1, 2
Solve 4*u**3 + 18072*u**2 + 90236*u - 108312 = 0.
-4513, -6, 1
Let -z**2 + 439*z + 66402 = 0. Calculate z.
-119, 558
Determine t, given that 447*t**5 - 4047*t**4 + 6921*t**3 - 3489*t**2 + 168*t = 0.
0, 8/149, 1, 7
Factor 3*n**2 - 96423*n - 96426.
3*(n - 32142)*(n + 1)
Factor -s**3/2 + 79775*s**2/2 - 795406600*s - 3978030250.
-(s - 39890)**2*(s + 5)/2
Solve i**2/8 - 219*i/8 - 333/4 = 0.
-3, 222
Suppose -19*c**4 - 6344*c**3 - 5621*c**2 + 13316*c - 1332 = 0. What is c?
-333, -2, 2/19, 1
Factor -4*c**3/3 + 188*c**2 + 1768*c/3 - 1920.
-4*(c - 144)*(c - 2)*(c + 5)/3
Factor 3*y**4 - 4125*y**3 + 32853*y**2 - 61515*y.
3*y*(y - 1367)*(y - 5)*(y - 3)
What is o in -3*o**2/7 - 42732*o/7 - 152168652/7 = 0?
-7122
Determine t, given that 2*t**4/11 - 468*t**3/11 + 36418*t**2/11 - 953232*t/11 + 917280/11 = 0.
1, 65, 84
Factor j**2/10 + 148183*j/10 - 29637.
(j - 2)*(j + 148185)/10
Solve v**5 + 35*v**4 - 1276*v**3 + 8068*v**2 - 11328*v = 0.
-59, 0, 2, 6, 16
What is m in 3*m**2 - 332640*m + 9220780800 = 0?
55440
Factor -l**5 - 7*l**4 + 39*l**3 - 53*l**2 + 22*l.
-l*(l - 2)*(l - 1)**2*(l + 11)
Factor j**3/4 - 2903*j**2/4 - 46689*j/4 - 43785/4.
(j - 2919)*(j + 1)*(j + 15)/4
Determine v, given that -19*v**4/3 + 346*v**3/3 - 756*v**2 + 2088*v - 2016 = 0.
42/19, 4, 6
Factor -x**4/3 + 961*x**3/3.
-x**3*(x - 961)/3
Suppose z**2 + 105164*z + 2764866724 = 0. What is z?
-52582
Factor -4*z**2 + 8492*z + 17000.
-4*(z - 2125)*(z + 2)
Solve 2*u**2/3 - 1396*u + 8352 = 0 for u.
6, 2088
Factor 5*t**2 + 1340670*t + 89869802445.
5*(t + 134067)**2
Factor -4*w**3/9 - 83632*w**2/9 - 48450580*w + 1266004584.
-4*(w - 26)*(w + 10467)**2/9
Suppose 3*n**4 + 1788*n**3 + 12315*n**2 - 31806*n = 0. What is n?
-589, -9, 0, 2
Factor 3*x**4/2 + 2253*x**3/2 + 4488*x**2 + 4482*x.
3*x*(x + 2)**2*(x + 747)/2
Solve 2*r**3 + 689050*r**2 + 59349082336*r + 59348393288 = 0 for r.
-172262, -1
Factor 3*s**2/2 + 5522*s - 3682.
(s + 3682)*(3*s - 2)/2
Factor -3*d**3 - 188406*d**2 + 188415*d + 376818.
-3*(d - 2)*(d + 1)*(d + 62803)
Suppose 5*h**5 - 720*h**4 + 635*h**3 + 11520*h**2 - 11440*h = 0. Calculate h.
-4, 0, 1, 4, 143
Determine p, given that 2*p**5/19 - 234*p**4/19 + 378*p**3 - 1026*p**2 = 0.
0, 3, 57
Determine r, given that -4*r**2 - 3004*r - 8976 = 0.
-748, -3
Determine t, given that t**4/2 + 2919*t**3 + 4263198*t**2 + 8514724*t = 0.
-2918, -2, 0
Factor 3*r**3/4 - 753*r**2 - 9057*r/4 - 3021/2.
3*(r - 1007)*(r + 1)*(r + 2)/4
Factor -254*j**3 - 2038*j**2 + 2238*j + 54.
-2*(j - 1)*(j + 9)*(127*j + 3)
Find y, given that -3*y**3/7 + 195*y**2/7 - 2496*y/7 - 828 = 0.
-2, 21, 46
Find x, given that -x**4 + 29*x**3 + 219*x**2 - 301*x - 490 = 0.
-7, -1, 2, 35
Solve 27*y**5 - 2055*y**4 + 9813*y**3 - 1065*y**2 = 0 for y.
0, 1/9, 5, 71
Solve z**5 + 31*z**4 - 5829*z**3 + 182641*z**2 - 2140424*z + 8588580 = 0 for z.
-105, 11, 26
Suppose l**5 + 4*l**4 - 152*l**3 - 1184*l**2 - 2864*l - 2240 = 0. What is l?
-10, -4, -2, 14
Factor 249*c**2/5 - 105*c - 774/5.
3*(c + 1)*(83*c - 258)/5
What is j in -j**5/3 - 110*j**4/3 - 718*j**3/3 + 332*j**2/3 + 2383*j/3 + 1442/3 = 0?
-103, -7, -1, 2
Suppose -3*g**3/2 + 501*g**2/2 - 13944*g + 258720 = 0. What is g?
55, 56
Solve 3*i**2 + 130209*i = 0 for i.
-43403, 0
Factor -2*b**4 - 1582*b**3 + 7952*b**2 - 6368*b.
-2*b*(b - 4)*(b - 1)*(b + 796)
Let 3*d**3/8 - 777*d**2/2 - 50811*d/8 + 82845/2 = 0. What is d?
-21, 5, 1052
Find i such that -2*i**2 - 10058*i - 10056 = 0.
-5028, -1
Determine p, given that 2*p**2/3 - 292*p + 15922/3 = 0.
19, 419
Find v, given that -v**3/8 - 315*v**2/2 - 390525*v/8 + 2016125/4 = 0.
-635, 10
Solve 3*d**4/7 - 12*d**3/7 - 144*d**2/7 + 192*d/7 + 1536/7 = 0.
-4, 4, 8
Determine l, given that 4*l**4 + 100*l**3 - 1316*l**2 + 2940*l = 0.
-35, 0, 3, 7
Factor 3*i**2/5 + 576306*i/5 + 27677383803/5.
3*(i + 96051)**2/5
Suppose -o**5/3 - 1647*o**4 - 6076048*o**3/3 + 22571236*o**2 + 343609376*o/3 + 122611520 = 0. What is o?
-2476, -2, 15
Determine d so that d**2 - 9784*d + 23931664 = 0.
4892
Factor -5*y**2/3 + 117680*y/3 - 692429120/3.
-5*(y - 11768)**2/3
What is f in 2*f**5/9 - 14420*f**4/9 - 2*f**3/9 + 14420*f**2/9 = 0?
-1, 0, 1, 7210
Factor -2*l**3 - 848*l**2 + 348312*l - 26661600.
-2*(l - 138)**2*(l + 700)
Factor -2*y**3 + 502*y**2 - 11184*y + 65376.
-2*(y - 227)*(y - 12)**2
Find i such 