11, -3, 4
Factor 3*i**2 - 4956*i + 14841.
3*(i - 1649)*(i - 3)
Factor -4*r**2 + 280*r - 2196.
-4*(r - 61)*(r - 9)
Find i such that -4*i**4/3 + 6632*i**3 - 8462844*i**2 + 537072624*i - 8744112432 = 0.
33, 2454
Find a such that 2*a**4 - 8*a**3 - 234*a**2 - 616*a - 392 = 0.
-7, -2, -1, 14
Suppose -2701*a**3/3 - 13502*a**2/3 - 5397*a + 6 = 0. Calculate a.
-3, -2, 3/2701
Factor 2*j**3/3 + 9062*j**2 - 18126*j + 27190/3.
2*(j - 1)**2*(j + 13595)/3
Factor -2*o**2 - 13980*o - 153538.
-2*(o + 11)*(o + 6979)
Factor -2*f**2 - 3852*f.
-2*f*(f + 1926)
Factor 3*g**3 + 708*g**2 + 9987*g + 9282.
3*(g + 1)*(g + 14)*(g + 221)
Factor 3276075*x**3 - 3273985*x**2 - 6269*x/3 - 1/3.
(x - 1)*(3135*x + 1)**2/3
Factor -5*v**2 + 104205*v.
-5*v*(v - 20841)
Determine r so that 2*r**3/15 - 376*r**2/15 + 488*r/3 + 1667008/15 = 0.
-56, 122
Find q, given that q**3/3 - 99*q**2 + 1592*q - 4480/3 = 0.
1, 16, 280
Factor -2*b**2 + 164*b - 2562.
-2*(b - 61)*(b - 21)
Factor -4*f**2/5 + 2416*f/5 + 7284/5.
-4*(f - 607)*(f + 3)/5
Solve -14*f**4/11 + 2230*f**3/11 + 6168*f**2/11 - 1944*f/11 = 0.
-3, 0, 2/7, 162
Let -l**4/10 + 4*l**3/5 + l**2/2 - 42*l/5 = 0. What is l?
-3, 0, 4, 7
Factor 5*p**3 + 180250*p**2 + 1081365*p + 1621980.
5*(p + 3)**2*(p + 36044)
Factor -5*p**3 - 13690*p**2 + 109760*p - 219680.
-5*(p - 4)**2*(p + 2746)
Solve 2*j**2 + 97608*j = 0.
-48804, 0
Factor -2*b**3/17 - 5424*b**2/17 - 3682890*b/17 - 7344100/17.
-2*(b + 2)*(b + 1355)**2/17
Suppose -2*t**5 - 2250*t**4 + 43570*t**3 + 111810*t**2 - 345320*t + 192192 = 0. What is t?
-1144, -4, 1, 21
Determine a, given that 8*a**3 + 5132*a**2 + 7672*a - 5120 = 0.
-640, -2, 1/2
Determine s so that -2*s**2/11 - 8984*s/11 - 26934/11 = 0.
-4489, -3
Let 6*q**2/11 - 102*q/11 - 900 = 0. What is q?
-33, 50
Factor r**3/6 + 7924*r**2/3 + 20935207*r/2 + 20924643.
(r + 2)*(r + 7923)**2/6
Factor 2*k**2 + 12322*k - 36984.
2*(k - 3)*(k + 6164)
Solve -5*k**2 - 13245210*k - 8771779397205 = 0.
-1324521
Determine y, given that y**3 - 45360*y**2 - y + 45360 = 0.
-1, 1, 45360
Find u such that 3*u**5/7 + 876*u**4/7 + 612*u**3 - 6042*u**2/7 - 4287*u/7 + 738 = 0.
-287, -6, -1, 1
Factor 2*o**2/11 - 37058*o/11 + 481416/11.
2*(o - 18516)*(o - 13)/11
Factor 2*w**3/3 - 292*w**2/3 - 3478*w/3 + 1256.
2*(w - 157)*(w - 1)*(w + 12)/3
Find h, given that h**4/2 - 1341*h**3/2 - 4029*h**2/2 - 4031*h/2 - 672 = 0.
-1, 1344
Suppose -4*d**2 + 23284*d - 464080 = 0. What is d?
20, 5801
Determine n so that 5*n**3 + 6850*n**2 + 885500*n + 30135000 = 0.
-1230, -70
Suppose -k**2 + 103442*k/5 - 41376/5 = 0. Calculate k.
2/5, 20688
Factor -2*w**2 - 308*w - 7626.
-2*(w + 31)*(w + 123)
Let -y**3 + 38466*y**2 + y - 38466 = 0. What is y?
-1, 1, 38466
Factor -f**2/6 + 1393*f/6 + 7600.
-(f - 1425)*(f + 32)/6
Factor -j**4 + 42*j**3 + 6987*j**2 + 141932*j - 312132.
-(j - 114)*(j - 2)*(j + 37)**2
Determine l, given that -2*l**4 - 46592*l**3 + 46598*l**2 + 93188*l = 0.
-23297, -1, 0, 2
Suppose 3*p**5 - 291*p**4 + 9237*p**3 - 96141*p**2 - 9240*p + 96432 = 0. Calculate p.
-1, 1, 28, 41
Factor -5*v**4 - 215330*v**3 - 2319426845*v**2 - 23178121200*v - 57931848000.
-5*(v + 5)**2*(v + 21528)**2
Factor g**2 - 3059694*g + 2340431843409.
(g - 1529847)**2
Determine y, given that -9*y**5 + 2053*y**4 + 38903*y**3 + 173163*y**2 - 54702*y - 159408 = 0.
-9, -8/9, 1, 246
Factor -t**2 - 4274*t + 8552.
-(t - 2)*(t + 4276)
Find g such that -4*g**3/5 + 2524*g**2/5 + 20484*g/5 - 23004/5 = 0.
-9, 1, 639
Solve -3*m**3 + 15345*m**2 - 19645416*m + 58798224 = 0.
3, 2556
Find z such that -z**4/4 + 717*z**3/4 + 1443*z**2/4 - 3589*z/4 - 2157/2 = 0.
-3, -1, 2, 719
Factor -2*j**3 - 572*j**2 - 4986*j.
-2*j*(j + 9)*(j + 277)
Factor -3*g**2 - 10848*g + 130608.
-3*(g - 12)*(g + 3628)
Factor 26*r**2 + 462*r - 2960.
2*(r - 5)*(13*r + 296)
Find d such that 2*d**3 - 47*d**2/2 - 71*d + 220 = 0.
-4, 2, 55/4
Factor 5*s**2 - 88290*s - 88295.
5*(s - 17659)*(s + 1)
Find r such that -3*r**4 - 2193*r**3 + 204990*r**2 - 4724748*r + 8647128 = 0.
-817, 2, 42
Determine t so that 3*t**3 - 3438*t**2 + 3435*t = 0.
0, 1, 1145
Find d such that -5*d**2 - 4340*d - 38655 = 0.
-859, -9
Suppose -9*s**5/5 - 58*s**4 + 566*s**3/5 + 11444*s**2/5 + 12907*s/5 + 462 = 0. What is s?
-33, -5, -1, -2/9, 7
Find h such that h**3/7 - 692*h**2/7 + 16621*h/7 + 36018/7 = 0.
-2, 27, 667
Let -b**2/5 - 7836*b/5 - 70443/5 = 0. What is b?
-7827, -9
Suppose 25*o**5 - 6895*o**4 + 359079*o**3 - 630685*o**2 + 333952*o - 55476 = 0. Calculate o.
2/5, 1, 67, 207
Find x, given that 21*x**3/2 + 4075*x**2/2 + 4129*x + 192 = 0.
-192, -2, -1/21
Factor 2*i**2 - 1618*i + 236076.
2*(i - 618)*(i - 191)
Let 4*y**2 + 4424*y + 1222660 = 0. Calculate y.
-565, -541
Factor -2*s**2 - 186*s - 2812.
-2*(s + 19)*(s + 74)
Determine v so that 1976*v**3/15 + 6982*v**2 - 106598*v/15 - 36/5 = 0.
-54, -1/988, 1
Let -27*k**2/4 + 2091*k/4 - 9408 = 0. What is k?
256/9, 49
Suppose 4*g**5 + 2380*g**4 + 357544*g**3 + 1037152*g**2 - 2121728*g - 2803712 = 0. What is g?
-296, -4, -1, 2
Let -5*n**5 - 883575*n**4 - 39033913650*n**3 + 117107042450*n**2 - 117108809625*n + 39036564405 = 0. What is n?
-88359, 1
Suppose 405*q**4 - 3600*q**3 + 9440*q**2 - 6400*q + 1280 = 0. What is q?
4/9, 4
Suppose n**3/4 - 571*n**2/4 + 80647*n/4 + 247107/4 = 0. What is n?
-3, 287
Factor f**3/2 - 345*f**2.
f**2*(f - 690)/2
Find d, given that -3*d**3/8 + 27381*d**2/8 + 1153971*d/8 + 12130587/8 = 0.
-21, 9169
Solve -x**4/2 + 121*x**3 + 39427*x**2/2 + 39062*x + 19470 = 0 for x.
-110, -1, 354
Factor -2*z**2/15 - 777868*z/5 - 226904484534/5.
-2*(z + 583401)**2/15
Determine m so that m**3/6 - 425*m**2/6 = 0.
0, 425
Factor -2*o**2 + 4688500*o - 2747754031250.
-2*(o - 1172125)**2
Let 4*k**2 - 3240*k - 6496 = 0. What is k?
-2, 812
Determine i so that i**3/4 + 16375*i**2/4 + 32747*i/4 + 16373/4 = 0.
-16373, -1
Solve 22*n**4/17 - 4154*n**3/17 - 12594*n**2/17 - 12638*n/17 - 4220/17 = 0 for n.
-1, 2110/11
What is x in 16*x**4 - 12*x**3 - 18*x**2 = 0?
-3/4, 0, 3/2
Solve -4*m**4/7 - 696*m**3/7 - 32356*m**2/7 - 135456*m/7 + 3527168/7 = 0 for m.
-83, -16, 8
Solve -2*j**4/15 + 1016*j**3/15 - 38008*j**2/5 - 3812032*j/15 - 28155008/15 = 0.
-14, 268
Solve 72*q**5 - 3696*q**4 + 50618*q**3 - 101238*q**2 + 29596*q - 2352 = 0.
1/6, 2, 21, 28
Solve 2*l**3 - 163178*l**2 - 326362*l - 163182 = 0.
-1, 81591
Solve -3*b**2 - 5367*b + 10746 = 0 for b.
-1791, 2
Factor -2*l**2 - 2954*l - 103752.
-2*(l + 36)*(l + 1441)
Suppose m**3/2 + 1061*m**2/2 + 13959*m = 0. Calculate m.
-1034, -27, 0
Factor -4*n**2 + 123024*n - 123020.
-4*(n - 30755)*(n - 1)
Find d such that -2*d**3 + 569194*d**2 - 1138382*d + 569190 = 0.
1, 284595
Solve 309*a**3/5 + 3419*a**2/5 + 44*a = 0.
-11, -20/309, 0
Factor b**2/5 + 20798*b/5 + 108139201/5.
(b + 10399)**2/5
Solve -i**4/2 + 561*i**3 - 14401*i**2/2 - 8886*i + 15526 = 0 for i.
-2, 1, 14, 1109
Factor -t**3/3 - 6*t**2 - 80*t/3 - 32.
-(t + 2)*(t + 4)*(t + 12)/3
Factor 3*o**3 + 317031*o**2 - 634074*o.
3*o*(o - 2)*(o + 105679)
Factor l**2/5 + 5066*l - 75999/5.
(l - 3)*(l + 25333)/5
Factor 3*m**2 + 78660*m + 515616300.
3*(m + 13110)**2
What is g in -5*g**5 - 14887*g**4 - 5949*g**3 + 14887*g**2 + 5954*g = 0?
-2977, -1, -2/5, 0, 1
Suppose 3*w**2 - 7972578*w + 5296833330507 = 0. Calculate w.
1328763
Factor 214*u**2/21 - 890*u/21.
2*u*(107*u - 445)/21
Solve 2*b**2 + 3025568*b + 1144257715328 = 0.
-756392
Let -5*w**2 - 57625*w - 115230 = 0. Calculate w.
-11523, -2
Let 2*f**5/3 - 28*f**4/3 - 566*f**3/3 - 1472*f**2/3 - 312*f = 0. What is f?
-9, -2, -1, 0, 26
Suppose 147*y**3 - 130539*y**2 + 263148*y - 5316 = 0. Calculate y.
1/49, 2, 886
Factor -4*o**3/3 + 10600*o**2/3 - 105100*o + 786000.
-4*(o - 2620)*(o - 15)**2/3
Factor -h**3/6 - 439*h**2/6 - 1549*h - 8340.
-(h + 10)*(h + 12)*(h + 417)/6
Factor 2*t**3/11 + 1300*t**2/11 - 5242*t/11 - 6540/11.
2*(t - 5)*(t + 1)*(t + 654)/11
Determine o so that -o**4/3 - o**3 + 8*o**2 + 80*o/3 = 0.
-4, 0, 5
Solve -b**3 - 41*b**2 - 143*b + 185 = 0 for b.
-37, -5, 1
Suppose 2*t**5/9 + 364*t**4/9 + 1046*t**3/9 - 5108*t**2/9 - 17248*t/9 - 11456/9 = 0. What is t?
-179, -4, -2, -1, 4
Solve -2*d**3 - 800*d**2 + 14514*d + 140112 = 0 for d.
-417, -7, 24
What is l in -46*l**5 - 310*l**4 - 468*l**3 + 328*l**2 + 688*l - 192 = 0?
-4, -2, 6/23, 1
Suppose -3*i**4/4 + 305*i**3/4 + 1489*i**2/4 - 11901*i/4 + 7155/2 = 0. What is i?
-9, 5