 51)/2
Let -5*c**2 - 10295*c - 143150 = 0. Calculate c.
-2045, -14
Solve -15*h**5 - 40*h**4 + 1795*h**3 + 1240*h**2 - 1780*h - 1200 = 0.
-12, -1, -2/3, 1, 10
Factor -1325*z**2 + 9290*z - 105.
-5*(z - 7)*(265*z - 3)
Find k such that -2*k**2 + 148500*k - 2756531250 = 0.
37125
Factor 3*c**3 + 69*c**2 - 1338*c + 2376.
3*(c - 11)*(c - 2)*(c + 36)
Solve -w**3/2 + 83*w**2/2 + 1345*w/2 + 1261/2 = 0.
-13, -1, 97
Factor -g**2 + 12175*g - 12174.
-(g - 12174)*(g - 1)
Factor 2*k**4/15 + 10964*k**3/15 + 15059018*k**2/15 + 30019432*k/5 + 44979864/5.
2*(k + 3)**2*(k + 2738)**2/15
Find f such that -785*f**4/7 - 55733*f**3/7 + 616367*f**2/7 - 1591195*f/7 + 4050/7 = 0.
-81, 2/785, 5
Determine x so that -x**3 + 2203*x**2 - 6600*x = 0.
0, 3, 2200
Solve 9747*x**4 - 1579698*x**3 + 26593419*x**2 - 1860372*x + 32604 = 0 for x.
2/57, 19, 143
Factor 4*r**2 - 6868*r - 650520.
4*(r - 1807)*(r + 90)
Factor -38*h**2/5 - 864*h/5 + 6552/5.
-2*(h - 6)*(19*h + 546)/5
What is m in 3*m**3 - 5214*m**2 - 110817*m = 0?
-21, 0, 1759
Find l such that -2*l**5/5 - 30*l**4 + 306*l**3/5 - 154*l**2/5 = 0.
-77, 0, 1
Suppose -p**4 + 72*p**3 + 2142*p**2 - 39200*p + 147147 = 0. Calculate p.
-33, 7, 91
Factor -5*v**4 - 570*v**3 - 21420*v**2 - 265880*v.
-5*v*(v + 34)**2*(v + 46)
Factor u**3 - 8584*u**2 + 17165*u - 8582.
(u - 8582)*(u - 1)**2
Solve -x**3/6 + 8329*x**2/6 - 16649*x/2 + 24969/2 = 0 for x.
3, 8323
What is g in -5*g**4 - 590*g**3 - 14565*g**2 - 123500*g - 297440 = 0?
-88, -13, -4
Find k such that 4*k**2 + 3540*k - 3544 = 0.
-886, 1
Suppose -t**5/3 + 5*t**4 - 47*t**3/3 + 29*t**2/3 + 16*t - 44/3 = 0. Calculate t.
-1, 1, 2, 11
Factor 3*x**4 - 291*x**3 + 570*x**2.
3*x**2*(x - 95)*(x - 2)
Let 4*b**3 + 3044*b**2 + 3040*b = 0. What is b?
-760, -1, 0
Factor -3*n**3 - 14343*n**2 - 200361*n - 700749.
-3*(n + 7)**2*(n + 4767)
Factor -3*p**3/5 - 192*p**2 - 2859*p/5 - 1902/5.
-3*(p + 1)*(p + 2)*(p + 317)/5
Factor -4*s**3 - 860*s**2 - 22408*s + 75072.
-4*(s - 3)*(s + 34)*(s + 184)
Let k**2/2 - 1343*k/2 + 671 = 0. What is k?
1, 1342
Factor -7*z**4/3 + 32357*z**3/3 - 37398913*z**2/3 + 5340721*z.
-z*(z - 2311)**2*(7*z - 3)/3
Solve -2*o**5/3 + 344*o**4/3 - 1330*o**3/3 - 2372*o**2/3 + 1120*o = 0.
-2, 0, 1, 5, 168
Find w, given that w**3/5 - 78*w**2/5 + 1769*w/5 - 12012/5 = 0.
13, 21, 44
Find k, given that 2*k**2 - 592*k/5 - 10074/5 = 0.
-69/5, 73
Factor 4*c**4 + 8*c**3 - 2076*c**2 - 25632*c - 77760.
4*(c - 27)*(c + 5)*(c + 12)**2
Find j, given that -12*j**5 + 3704*j**4/3 + 23200*j**3 - 68440*j**2/3 - 23188*j + 64736/3 = 0.
-17, -1, 8/9, 1, 119
Factor -3*d**2/7 + 1084425*d/7 - 309834.
-3*(d - 361473)*(d - 2)/7
Factor 3*g**2 - 1806*g - 89424.
3*(g - 648)*(g + 46)
Solve 2*o**4/3 + 18676*o**3/3 + 43617776*o**2/3 + 29003840*o - 116214528 = 0 for o.
-4668, -4, 2
Determine z, given that z**5/4 + 355*z**4/2 - 4200*z**3 + 21635*z**2/2 + 16799*z/4 - 10995 = 0.
-733, -1, 1, 3, 20
Solve 7*y**2/6 + 5921*y/6 - 141 = 0 for y.
-846, 1/7
Factor -21*p**2 - 144*p + 4752.
-3*(p - 12)*(7*p + 132)
Find b such that -b**2/3 - 909206*b/3 - 206663887609/3 = 0.
-454603
What is k in -2*k**5/5 - 2*k**4 + 34*k**3/5 + 114*k**2/5 - 144*k/5 - 216/5 = 0?
-6, -3, -1, 2, 3
Factor 5*t**2/2 - 144*t + 171/2.
(t - 57)*(5*t - 3)/2
Suppose -s**3 + 575*s**2 - 11634*s = 0. What is s?
0, 21, 554
Solve 5*o**2 + 3901010*o + 760893951005 = 0 for o.
-390101
Find f, given that 2*f**2/7 + 93000*f/7 + 1081125000/7 = 0.
-23250
Factor -20*l**3/7 - 2012*l**2 - 166848*l/7 - 498384/7.
-4*(l + 6)**2*(5*l + 3461)/7
Find b such that b**2/2 + 139*b/2 + 462 = 0.
-132, -7
Factor 375*i**2 - 9738*i - 312.
3*(i - 26)*(125*i + 4)
What is u in -3*u**4/7 + 48*u**3 - 8733*u**2/7 = 0?
0, 41, 71
Factor -p**3/8 - 851*p**2/8 + 3881*p/4 + 2365.
-(p - 11)*(p + 2)*(p + 860)/8
Factor 2*z**2/9 + 60*z - 3150.
2*(z - 45)*(z + 315)/9
Suppose 21*c**3 + 447*c**2 + 99*c - 567 = 0. Calculate c.
-21, -9/7, 1
Determine g, given that 3*g**3/5 + 156*g**2 - 9831*g/5 - 10608/5 = 0.
-272, -1, 13
What is c in -2*c**2/9 - 388*c/9 + 406 = 0?
-203, 9
Factor -2*r**2/3 + 24970*r + 374600/3.
-2*(r - 37460)*(r + 5)/3
Factor -p**2 + 3144*p - 31340.
-(p - 3134)*(p - 10)
Factor -j**4 + 41*j**3 + 532*j**2 - 5660*j - 58800.
-(j - 49)*(j - 12)*(j + 10)**2
Let 4*r**5 + 248*r**4 + 1508*r**3 - 1760*r**2 = 0. What is r?
-55, -8, 0, 1
Let -22*f**2/17 + 2*f/17 + 560/17 = 0. What is f?
-5, 56/11
Let 3*c**2/7 + 4434804*c/7 + 1638957209868/7 = 0. Calculate c.
-739134
Let -2*y**2/5 - 8278*y/5 - 16548/5 = 0. Calculate y.
-4137, -2
Factor d**2/4 - 90742*d + 362967/4.
(d - 362967)*(d - 1)/4
Factor 4*h**4 - 204*h**3 + 200*h**2.
4*h**2*(h - 50)*(h - 1)
Suppose 2*f**4/7 + 578*f**3/7 + 45264*f**2/7 + 495144*f/7 = 0. Calculate f.
-138, -13, 0
What is z in 2*z**2/3 + 3470*z/3 - 5800 = 0?
-1740, 5
Determine n, given that -n**5/10 - 32*n**4/5 - 1229*n**3/10 - 3007*n**2/5 + 3696*n/5 + 7056 = 0.
-28, -6, -5, 3
Find q, given that 4*q**4/5 + 88*q**3/5 - 8076*q**2/5 + 15872*q/5 - 7888/5 = 0.
-58, 1, 34
Determine l so that l**3 + 175*l**2 + 8232*l + 49392 = 0.
-84, -7
Factor -2*t**3/3 - 22128*t**2 - 44254*t - 66380/3.
-2*(t + 1)**2*(t + 33190)/3
Solve o**5 + 2426*o**4 + 26526*o**3 - 94144*o**2 + 99001*o - 33810 = 0 for o.
-2415, -14, 1
Suppose w**5/6 - 329*w**4/2 - 991*w**3/2 + 2959*w**2/6 + 1814*w + 990 = 0. What is w?
-3, -1, 2, 990
Find z, given that -39*z**2/4 - 22623*z/4 - 435 = 0.
-580, -1/13
Suppose 2*t**3/7 - 1212*t**2/7 - 1214*t/7 = 0. Calculate t.
-1, 0, 607
Factor 3*u**2/7 - 47358*u/7 - 94728/7.
3*(u - 15788)*(u + 2)/7
Factor 2*w**2/21 + 3136*w + 25815552.
2*(w + 16464)**2/21
Let 3*g**2 + 413742*g + 14265203547 = 0. What is g?
-68957
Factor -n**5/2 - 93*n**4/2 + 2409*n**3/2 - 13915*n**2/2.
-n**2*(n - 11)**2*(n + 115)/2
Factor h**3/4 - 541*h**2/4 + 1197*h.
h*(h - 532)*(h - 9)/4
Let -20*j**4 + 364*j**3 + 3220*j**2 + 4500*j = 0. What is j?
-5, -9/5, 0, 25
Let w**3 + 7391*w**2 + 7384*w - 44340 = 0. Calculate w.
-7390, -3, 2
Let -o**2 + 1000*o + 6036 = 0. Calculate o.
-6, 1006
Factor -30*o**3 + 479*o**2 + 3166*o + 105.
-(o - 21)*(o + 5)*(30*o + 1)
Suppose n**4/6 + 65*n**3/6 + 823*n**2/6 + 637*n/2 = 0. What is n?
-49, -13, -3, 0
Determine f so that 5*f**4 - 7265*f**3 - 36410*f**2 - 58300*f - 29160 = 0.
-2, -1, 1458
Let 6*j**5/7 + 288*j**4/7 + 150*j**3/7 - 12636*j**2 + 169728*j/7 + 36864 = 0. Calculate j.
-32, -1, 3, 14
Find p, given that 3*p**3/4 + 66*p**2 - 5043*p/4 - 1326 = 0.
-104, -1, 17
Find r such that 5*r**5 + 3505*r**4 - 90*r**3 - 62930*r**2 + 112085*r - 52575 = 0.
-701, -5, 1, 3
Factor 2*m**2 - 4640*m + 9272.
2*(m - 2318)*(m - 2)
Determine j, given that -8*j**2 - 64908*j - 97344 = 0.
-8112, -3/2
What is q in 4*q**5/7 - 318*q**4/7 - 372*q**3 - 712*q**2/7 + 16680*q/7 - 13050/7 = 0?
-5, 1, 3/2, 87
Determine v so that -232*v**5/9 + 21118*v**4/9 - 470114*v**3/9 - 478768*v**2/9 + 4232*v/3 = 0.
-1, 0, 3/116, 46
Solve 3*z**2/2 + 69427*z/2 + 11571 = 0.
-23142, -1/3
Determine m, given that 3*m**4 - 1263*m**3 + 2517*m**2 - 1257*m = 0.
0, 1, 419
What is y in 5*y**3/2 + 613*y**2/2 - 6868*y + 2698 = 0?
-142, 2/5, 19
Determine q, given that -3*q**5 + 303*q**4 - 4125*q**3 + 3309*q**2 + 43440*q + 35700 = 0.
-2, -1, 5, 14, 85
Factor -y**2/5 + 6252*y/5 - 87332/5.
-(y - 6238)*(y - 14)/5
Factor -i**3/3 - 721*i**2/3 + 2170*i/3 - 1448/3.
-(i - 2)*(i - 1)*(i + 724)/3
Factor -2*f**3 + 218*f**2 + 13144*f + 48960.
-2*(f - 153)*(f + 4)*(f + 40)
Solve -2*z**2/7 - 20596*z/7 - 2942 = 0 for z.
-10297, -1
What is i in -5*i**2 + 389215*i + 778450 = 0?
-2, 77845
Find k, given that -15*k**4 - 1386*k**3 - 32667*k**2 - 43596*k - 12300 = 0.
-50, -41, -1, -2/5
Suppose -5*g**4 + 407765*g**3 - 1223265*g**2 + 1223255*g - 407750 = 0. Calculate g.
1, 81550
Factor t**2/6 - 111*t/2 + 486.
(t - 324)*(t - 9)/6
Factor -i**3/7 + 113*i**2/7 + 4709*i/7 + 6069.
-(i - 147)*(i + 17)**2/7
Determine a so that -a**3/4 + 4407*a**2/2 + 8817*a + 8818 = 0.
-2, 8818
Factor -3*q**3 - 8439*q**2 + 3*q + 8439.
-3*(q - 1)*(q + 1)*(q + 2813)
Factor q**2 + 16*q - 6336.
(q - 72)*(q + 88)
Suppose 15*v**4 - 339*v**3/2 + 381*v**2 + 339*v/2 - 396 = 0. What is v?
-1, 1, 33/10, 8
Factor -2*x**3/9 - 1094*x**2/9 - 55942*x/9 + 28846526/9.
-2*(x - 127)*(x + 337)**2/9
Suppose -5*q**3 - 14460*q**2 - 101005*q - 86550 = 0. What is q?
-2885, -6, -1
Factor z**3/3 + 127*z**2 - 1182*z - 4680.
(z - 12)*(z