907, -2/67
Determine d, given that -3*d**3 + 468*d**2 + 972*d - 3792 = 0.
-4, 2, 158
Factor l**3/4 - 569*l**2/4 + 18816*l + 410571.
(l - 294)**2*(l + 19)/4
Let -t**2/5 - 2718992*t/5 - 1848229374016/5 = 0. What is t?
-1359496
Find m such that 49*m**5 + 742*m**4 - 2427*m**3 + 1656*m**2 - 324*m = 0.
-18, 0, 3/7, 2
Solve -q**4/3 + 182*q**3/3 - 2393*q**2 + 6638*q/3 + 14000/3 = 0 for q.
-1, 2, 56, 125
Suppose 6*a**2/11 - 2238*a - 24624/11 = 0. Calculate a.
-1, 4104
Solve 2*k**5/9 + 28*k**4/9 - 242*k**3/3 + 3952*k**2/9 - 6496*k/9 = 0 for k.
-29, 0, 4, 7
Determine n, given that -5*n**4 - 6120*n**3 - 1921040*n**2 - 29571840*n - 116741120 = 0.
-604, -8
Solve -4*f**3 - 72*f**2 - 96*f + 512 = 0 for f.
-16, -4, 2
Factor a**2/10 + 269027*a/5 + 72375526729/10.
(a + 269027)**2/10
Factor 4*i**3 + 52992*i**2 + 1375764*i + 8938072.
4*(i + 13)**2*(i + 13222)
Solve -4624*f**3 + 573648*f**2 - 33732*f + 496 = 0 for f.
1/34, 124
Solve -2*p**3/5 - 520632*p**2/5 - 6776233728*p + 27106600960 = 0.
-130160, 4
Factor -2*p**2/15 + 48836*p/15 + 195376/15.
-2*(p - 24422)*(p + 4)/15
Factor 4*d**2/5 - 1844*d/5 + 2184.
4*(d - 455)*(d - 6)/5
Let -z**3 - 193*z**2 - 8984*z + 18748 = 0. Calculate z.
-109, -86, 2
Determine y so that 3*y**5 + 735*y**4 + 44889*y**3 + 770601*y**2 - 1678824*y + 862596 = 0.
-163, -42, 1
Find r such that 3*r**2 + 1350*r + 2688 = 0.
-448, -2
Factor -y**3/2 + 101*y**2/2 - 455*y/2 - 122525/2.
-(y - 65)**2*(y + 29)/2
Let 30*t**3 - 13948*t**2 = 0. Calculate t.
0, 6974/15
Factor 4*w**2/7 + 180*w - 21184/7.
4*(w - 16)*(w + 331)/7
Solve -35*f**5 + 1800*f**4 + 23860*f**3 - 42960*f**2 - 865280*f - 476160 = 0.
-8, -4/7, 6, 62
Solve -5*a**3 + 6960*a**2 + 184620*a - 397040 = 0 for a.
-28, 2, 1418
Find w such that -w**2 - 901*w - 55110 = 0.
-835, -66
Let -3*z**5/8 + 62433*z**4/8 + 124887*z**3/8 - 187317*z**2/8 = 0. Calculate z.
-3, 0, 1, 20813
Let -3*g**3/5 - 966*g**2/5 - 72708*g/5 + 165336 = 0. What is g?
-166, 10
Factor 2*v**2 + 5613492*v + 3938911554258.
2*(v + 1403373)**2
Factor -2*q**2/5 + 3966*q/5 + 13600.
-2*(q - 2000)*(q + 17)/5
Solve 5*x**3 + 9080*x**2 + 27205*x + 18130 = 0.
-1813, -2, -1
Suppose 22256*r**5 + 136092*r**4 + 14520*r**3 - 4912*r**2 - 96*r = 0. Calculate r.
-6, -1/4, -2/107, 0, 2/13
Factor x**3/6 + 8*x**2/3 + x/2 - 30.
(x - 3)*(x + 4)*(x + 15)/6
Determine p, given that -2*p**5 + 310*p**4 - 9586*p**3 - 20110*p**2 - 10212*p = 0.
-1, 0, 46, 111
Determine v so that 2200*v**4/9 + 211060*v**3/9 + 196292*v**2/9 + 56288*v/9 + 1520/3 = 0.
-95, -2/5, -3/22
Factor -2*v**3/5 - 1882*v**2/5 - 118062*v - 12343590.
-2*(v + 311)*(v + 315)**2/5
Determine r, given that -2*r**4 + 968*r**3 + 3896*r**2 + 3904*r = 0.
-2, 0, 488
Solve -2*w**4 + 302*w**3 - 2514*w**2 - 5942*w - 3124 = 0.
-1, 11, 142
Let 5*x**2 + 2898340*x + 420018737780 = 0. Calculate x.
-289834
Factor u**2/4 + 175*u/4 + 2603/2.
(u + 38)*(u + 137)/4
Let 2*g**3 - 1252*g**2 + 146326*g + 147580 = 0. Calculate g.
-1, 157, 470
Factor -w**2/2 - 9751*w - 95082001/2.
-(w + 9751)**2/2
Factor -4*i**2 - 173600*i - 1883560000.
-4*(i + 21700)**2
Factor y**5 + 2797*y**4 + 1957200*y**3 + 1954404*y**2.
y**2*(y + 1)*(y + 1398)**2
Let -4*q**2 - 66808*q - 66804 = 0. What is q?
-16701, -1
Suppose 2*i**2/15 - 404*i/5 + 56502/5 = 0. Calculate i.
219, 387
Factor 5*g**2 - 248820*g + 3095569620.
5*(g - 24882)**2
Factor -2*y**2/5 - 126238*y/5 - 378696/5.
-2*(y + 3)*(y + 63116)/5
Factor u**4/3 - 1711*u**3 - 3423*u**2 - 5135*u/3.
u*(u - 5135)*(u + 1)**2/3
Solve -2*w**5/5 - 2006*w**4 - 12590144*w**3/5 - 37680208*w**2/5 + 40096*w/5 + 50240288/5 = 0.
-2506, -2, 1
Let 2*r**5 + 114*r**4 - 1726*r**3 + 6462*r**2 - 8212*r + 3360 = 0. What is r?
-70, 1, 3, 8
Find d, given that -2*d**5/3 - 434*d**4 - 317926*d**3/3 - 34764314*d**2/3 - 495740176*d - 6605928040/3 = 0.
-181, -142, -5
Let -5*m**4/2 + 9385*m**3/2 + 28185*m**2/2 + 28195*m/2 + 4700 = 0. Calculate m.
-1, 1880
Factor -3*o**2/7 + 93*o/7 + 20196/7.
-3*(o - 99)*(o + 68)/7
Let 3*s**4/7 - 141*s**3/7 + 726*s**2/7 + 13344*s/7 + 31968/7 = 0. Calculate s.
-4, 18, 37
What is q in 3*q**4 - 11373*q**3/7 - 27705*q**2/7 - 21207*q/7 - 4896/7 = 0?
-1, -3/7, 544
Let 5*m**5/4 + 1825*m**4/4 + 95665*m**3/2 + 1507155*m**2 - 3209310*m = 0. What is m?
-211, -78, 0, 2
Solve -123627*n**2/5 + 942732*n/5 - 1797228/5 = 0 for n.
774/203
Suppose -5*h**5 - 1515*h**4 - 84635*h**3 + 4666935*h**2 - 27989780*h = 0. What is h?
-169, 0, 7, 28
Solve -3*l**5/2 + 1329*l**4/2 + 19101*l**3/2 + 42879*l**2/2 - 86373*l = 0 for l.
-9, -7, 0, 2, 457
Factor -4*a**2/3 + 2424*a + 21924.
-4*(a - 1827)*(a + 9)/3
Factor 18*a**2 + 416272*a + 92504.
2*(a + 23126)*(9*a + 2)
Let 7*m**2 + 32646*m - 9328 = 0. What is m?
-4664, 2/7
Solve 4*r**2 - 17528*r - 105312 = 0 for r.
-6, 4388
Determine p so that 2*p**5/5 + 14*p**4/5 - 962*p**3/5 - 2350*p**2 - 20568*p/5 - 9792/5 = 0.
-17, -12, -1, 24
Factor -5*a**4 - 50*a**3 + 23745*a**2 - 47250*a.
-5*a*(a - 63)*(a - 2)*(a + 75)
Determine o, given that 5*o**4/6 + 9*o**3/2 - 1900*o**2/3 - 4034*o - 1512 = 0.
-27, -6, -2/5, 28
Find b, given that 2*b**5/9 - 8*b**4 + 52*b**3/9 + 608*b**2/9 + 254*b/3 + 280/9 = 0.
-1, 4, 35
Let 2*w**3/15 - 44*w**2 + 634*w/15 + 2632/5 = 0. Calculate w.
-3, 4, 329
Suppose -a**2/2 - 44793*a/2 + 22397 = 0. What is a?
-44794, 1
Factor -6*f**2/5 + 8984*f + 14974/5.
-2*(f - 7487)*(3*f + 1)/5
What is a in a**3/9 + 68425*a**2/3 - 45617*a + 205277/9 = 0?
-205277, 1
Factor a**2 + 1422*a + 53937.
(a + 39)*(a + 1383)
Factor q**2/4 - 1639*q/4 + 124865/2.
(q - 1469)*(q - 170)/4
Find y, given that -24*y**5 + 59406*y**4 - 133359*y**3 - 452613*y**2 + 133518*y + 59352 = 0.
-2, -1/4, 1/2, 4, 2473
Factor p**4/7 - 68*p**3/7 + 612*p**2/7 - 1888*p/7 + 1856/7.
(p - 58)*(p - 4)**2*(p - 2)/7
Find q, given that q**3/3 + 11431*q**2 - 68590*q/3 = 0.
-34295, 0, 2
Find x, given that x**3/3 + 45729*x**2 - 91459*x + 137189/3 = 0.
-137189, 1
Factor -a**3/7 - 104*a**2/7 + 845*a + 92274.
-(a - 78)*(a + 91)**2/7
Suppose -2*t**3/7 - 516*t**2/7 - 1896*t - 12880 = 0. Calculate t.
-230, -14
Factor -5*g**3 - 7085*g**2 + 143200*g - 718500.
-5*(g - 10)**2*(g + 1437)
What is x in -4*x**5 - 556*x**4 - 2676*x**3 + 556*x**2 + 2680*x = 0?
-134, -5, -1, 0, 1
Factor -x**3 + 144*x**2 + 4995*x + 39150.
-(x - 174)*(x + 15)**2
What is g in -2*g**3/11 + 318*g**2/11 + 2690*g/11 - 3006/11 = 0?
-9, 1, 167
Find q such that 35*q**2 + 130*q - 40 = 0.
-4, 2/7
Let 3*v**3/2 - 2238*v**2 + 834774*v = 0. What is v?
0, 746
Suppose -2*d**4 - 1222*d**3 - 19182*d**2 - 84602*d - 66640 = 0. Calculate d.
-595, -8, -7, -1
Suppose -3*m**4 - 492*m**3 - 30108*m**2 - 814752*m - 8227008 = 0. What is m?
-46, -36
Factor 2*l**2/13 + 2598*l/13 - 7812/13.
2*(l - 3)*(l + 1302)/13
Factor 2*s**3 - 1356*s**2 - 25022*s - 23664.
2*(s - 696)*(s + 1)*(s + 17)
Factor k**2/3 - 109234*k/3 + 2983016689/3.
(k - 54617)**2/3
Factor -2*a**2/5 + 2272*a + 11362/5.
-2*(a - 5681)*(a + 1)/5
Let 3*i**2 + 27*i - 336 = 0. Calculate i.
-16, 7
Factor 5*w**3 + 67140*w**2 + 225523200*w + 901018880.
5*(w + 4)*(w + 6712)**2
Factor 2*i**2/7 - 716*i + 448574.
2*(i - 1253)**2/7
Solve -36*i**4 + 1765*i**3 - 22502*i**2 + 20832*i + 5760 = 0.
-2/9, 5/4, 24
Let 5*w**2 + 1663770*w + 138406530645 = 0. What is w?
-166377
Determine z, given that 2*z**4/11 + 57146*z**3/11 + 342828*z**2/11 + 685624*z/11 + 41552 = 0.
-28567, -2
Let -g**2/4 + 300147*g/2 - 90088221609/4 = 0. What is g?
300147
Factor 2*f**3/9 - 2888*f**2/3 + 3848*f - 34624/9.
2*(f - 4328)*(f - 2)**2/9
Factor 4*k**3 - 12152*k**2 + 337904*k - 2359840.
4*(k - 3010)*(k - 14)**2
Factor -l**3/2 + 204*l**2 - 1608*l + 3200.
-(l - 400)*(l - 4)**2/2
Solve -r**2 - 7274*r - 7273 = 0.
-7273, -1
Factor d**2/6 - 293447*d/6.
d*(d - 293447)/6
Factor 4*q**2 - 611908*q - 1835760.
4*(q - 152980)*(q + 3)
Suppose 2*q**4/5 + 424*q**3/5 + 5096*q**2 + 307328*q/5 = 0. What is q?
-98, -16, 0
Suppose -p**4 - 69*p**3 + 520*p**2 - 912*p = 0. What is p?
-76, 0, 3, 4
Let 4*k**5 + 5812*k**4 + 215076*k**3 - 5812*k**2 - 215080*k = 0. Calculate k.
-1415, -38, -1, 0, 1
Factor -12204*f**4 + 17307*f**3 - 6804*f**2 + 460*f.
-f*(3*f - 2)**2*(1356*f - 115)
Let -a**5/5 + 29*a**4 - 2578*a**3/5 + 1906*a**2 + 27379*a/5 + 3025 = 0. Calculate a.
-1, 11, 125
Find t, given that 2*t**2 + 638224*t + 50916234272 = 0.
-159556
Suppose 2*g**2/7 - 1513408*g/7 + 286300471808/7 = 0. Calculate g.
378