4, 14165/12
Suppose -5*g**2 + 250*g - 3045 = 0. Calculate g.
21, 29
Solve -1058*w**4 + 18584*w**3/3 + 74884*w**2/9 + 3320*w/3 + 350/9 = 0 for w.
-1, -5/69, 7
Find f such that 4*f**5 + 271*f**4 + 456*f**3 - 403*f**2 - 460*f + 132 = 0.
-66, -2, -1, 1/4, 1
Factor c**2/2 + 51*c/2 + 270.
(c + 15)*(c + 36)/2
Factor -k**2/7 + 10501*k/7 - 41988/7.
-(k - 10497)*(k - 4)/7
Determine m so that -2*m**2/5 + 1046502*m/5 + 1046504/5 = 0.
-1, 523252
Factor -1731*j**2 + 76162*j + 88.
-(j - 44)*(1731*j + 2)
Solve -l**5 - 31*l**4/3 - 79*l**3/3 - 65*l**2/3 - 14*l/3 = 0 for l.
-7, -2, -1, -1/3, 0
Factor h**2/4 - 283583*h/2 + 80419317889/4.
(h - 283583)**2/4
Factor l**2/5 + 955*l + 198786/5.
(l + 42)*(l + 4733)/5
Let 4*h**4 + 384*h**3 - 9304*h**2 + 60384*h - 108108 = 0. What is h?
-117, 3, 7, 11
Factor 3*v**2 + 23700*v - 94848.
3*(v - 4)*(v + 7904)
Let 27*o**4/2 + 10893*o**3/2 + 7825*o**2 - 5626*o + 804 = 0. What is o?
-402, -2, 2/9, 1/3
Factor 2*h**2 - 6462*h + 25816.
2*(h - 3227)*(h - 4)
Factor -5*t**2 + 665*t - 13910.
-5*(t - 107)*(t - 26)
Factor -q**2/5 - 1180294*q/5 - 348273481609/5.
-(q + 590147)**2/5
Factor -u**2/6 + 260*u/3 + 521/6.
-(u - 521)*(u + 1)/6
Solve b**4/2 - 85*b**3/2 - 131*b**2 - 88*b = 0 for b.
-2, -1, 0, 88
Factor -755161*k**2/2 - 869*k - 1/2.
-(869*k + 1)**2/2
Suppose 4*g**3 - 636*g**2 + 31680*g - 470448 = 0. What is g?
27, 66
What is k in 4*k**5 - 912*k**4 - 255068*k**3 - 12797592*k**2 - 12036992*k + 25090560 = 0?
-88, -2, 1, 405
Factor -3*y**3 + 6537*y**2 + 59106*y - 65640.
-3*(y - 2188)*(y - 1)*(y + 10)
Suppose 15*m**3 - 492*m**2 - 2901*m - 2394 = 0. What is m?
-21/5, -1, 38
Factor -1078*n**2 + 3243*n - 27.
-(n - 3)*(1078*n - 9)
Suppose 4*p**5 - 25*p**4 - 38*p**3 + 107*p**2 + 88*p - 28 = 0. What is p?
-2, -1, 1/4, 2, 7
Suppose u**4/5 + 3*u**3/5 - 1259*u**2/5 - 3*u/5 + 1258/5 = 0. What is u?
-37, -1, 1, 34
Solve -8649*a**2 - 415245*a - 19936225/4 = 0.
-4465/186
Solve 3*w**2/2 - 162765*w + 325527/2 = 0.
1, 108509
Find l such that 111*l**4 + 46737*l**3 - 139110*l**2 - 195912*l - 10176 = 0.
-424, -1, -2/37, 4
Solve -3*f**3 - 38394*f**2 - 76776*f = 0.
-12796, -2, 0
Determine v, given that v**2 + 273*v/2 + 271/2 = 0.
-271/2, -1
Find q, given that q**2/5 - 169908*q/5 + 7217182116/5 = 0.
84954
Factor u**3 + 63020*u**2 - 252093*u + 189072.
(u - 3)*(u - 1)*(u + 63024)
Solve 396627352*p**2 + 50952*p + 18/11 = 0 for p.
-3/46706
Suppose -3*t**2/2 + 416556*t = 0. What is t?
0, 277704
Solve -h**4/3 - 62*h**3/3 + 735*h**2 + 12242*h/3 + 9976/3 = 0 for h.
-86, -4, -1, 29
Suppose 3*s**2/2 + 35667*s/2 - 35673 = 0. Calculate s.
-11891, 2
Factor 11*l**3 - 195*l**2 + 262*l + 672.
(l - 16)*(l - 3)*(11*l + 14)
Find q such that -27*q**5 - 4881*q**4 - 3747*q**3 + 5961*q**2 + 3774*q - 1080 = 0.
-180, -1, 2/9, 1
Suppose -8*g**4/13 - 162858*g**3/13 - 366382*g**2/13 + 162858*g/13 + 366390/13 = 0. Calculate g.
-20355, -9/4, -1, 1
Suppose 5841362*y**5 + 6032770*y**4 - 29013834*y**3 + 16568614*y**2 + 566384*y + 4704 = 0. What is y?
-3, -28/1709, 1
Factor 2*q**2/3 + 668690*q/3 - 668692/3.
2*(q - 1)*(q + 334346)/3
Determine j so that -4*j**3 - 456*j**2 + 1396*j - 936 = 0.
-117, 1, 2
Find n such that 5*n**2 + 3238640*n + 524439452480 = 0.
-323864
Find u, given that -u**2/2 - 9137*u - 83484769/2 = 0.
-9137
Find z, given that -2*z**4 - 18*z**3 + 84*z**2 + 128*z - 192 = 0.
-12, -2, 1, 4
Factor 4*p**3 - 4956*p**2.
4*p**2*(p - 1239)
Determine c, given that 6*c**2/13 + 110108*c/13 - 73408/13 = 0.
-18352, 2/3
Factor 4*m**2/7 - 105136*m/7 + 105132/7.
4*(m - 26283)*(m - 1)/7
Find n, given that -5*n**5 - 300*n**4 - 2980*n**3 - 4800*n**2 = 0.
-48, -10, -2, 0
Find w, given that 2*w**2 - 12496*w - 62530 = 0.
-5, 6253
Solve 5*d**5 + 2935*d**4 - 14785*d**3 + 8905*d**2 + 14780*d - 11840 = 0.
-592, -1, 1, 4
Suppose 4*w**4 + 448*w**3 - 2892*w**2 - 6680*w + 47200 = 0. What is w?
-118, -4, 5
What is y in -2*y**2/11 + 1818*y/11 - 62856/11 = 0?
36, 873
Solve 726*p**4 - 12351*p**3 + 39357*p**2 + 51786*p - 648 = 0.
-1, 3/242, 6, 12
Find f such that 2*f**4/3 - 5310*f**3 + 10570874*f**2 + 31919762*f/3 - 126914312 = 0.
-4, 3, 3983
Suppose -m**2/2 - 3308*m - 5471432 = 0. Calculate m.
-3308
Factor -2*p**3/3 - 122*p**2/3 + 7252*p/3.
-2*p*(p - 37)*(p + 98)/3
Let v**2/4 + 1646889*v/2 + 2712243378321/4 = 0. Calculate v.
-1646889
Factor -2*o**3 + 200180*o**2 - 5009004050*o.
-2*o*(o - 50045)**2
Factor -4*m**3/3 - 8308*m**2/3 - 4375564*m/3 - 21259220.
-4*(m + 15)*(m + 1031)**2/3
Factor 5*s**4 + 10*s**3 - 1440*s**2 - 2890*s - 1445.
5*(s - 17)*(s + 1)**2*(s + 17)
Suppose 2*l**3 - 1158*l**2 + 1156*l = 0. What is l?
0, 1, 578
Let l**4 - 417*l**3 - 841*l**2 + 1257*l = 0. What is l?
-3, 0, 1, 419
What is g in -3*g**4/2 - 29073*g**3 - 281688291*g**2/2 + 281775516*g - 140902296 = 0?
-9692, 1
Factor -z**2 + 3830*z + 15336.
-(z - 3834)*(z + 4)
Suppose -r**5/4 - 143*r**4/2 - 975*r**3/2 + 215*r**2 + 6431*r/4 + 1953/2 = 0. Calculate r.
-279, -7, -1, 2
Let -5*f**4 - 2540*f**3 - 4995*f**2 + 32840*f - 25300 = 0. What is f?
-506, -5, 1, 2
Let -5*p**5/6 - 1045*p**4/3 + 28345*p**3/2 - 367840*p**2/3 - 867400*p/3 - 152000 = 0. Calculate p.
-456, -1, 20
Factor -s**4/7 - 755*s**3/7 + 3041*s**2/7 + 3795*s/7.
-s*(s - 5)*(s + 1)*(s + 759)/7
Factor 5*p**4 - 310*p**3 + 1480*p**2 + 11200*p.
5*p*(p - 56)*(p - 10)*(p + 4)
Factor 4*q**3/7 - 36*q**2 + 224*q.
4*q*(q - 56)*(q - 7)/7
Factor -5*s**2 + 3530*s - 21000.
-5*(s - 700)*(s - 6)
Factor -2*g**2 + 12934*g - 116244.
-2*(g - 6458)*(g - 9)
Factor -h**2 + 35255*h - 246736.
-(h - 35248)*(h - 7)
Suppose -10*z**5/3 + 47*z**4/3 + 55*z**3/3 - 428*z**2/3 + 116*z + 48 = 0. Calculate z.
-3, -3/10, 2, 4
Let -3*z**4/2 + 1698*z**3 + 100035*z**2 + 1921242*z + 24466053/2 = 0. Calculate z.
-19, 1189
Suppose 2*p**5/9 + 1522*p**4/9 + 4528*p**3/3 + 36128*p**2/9 + 24064*p/9 = 0. What is p?
-752, -4, -1, 0
Factor 3*i**2 - 45720*i + 174193200.
3*(i - 7620)**2
Suppose -3*k**4 - 129*k**3 - 1173*k**2 + 1305*k = 0. What is k?
-29, -15, 0, 1
Let -2*w**3 - 92*w**2 - 666*w = 0. What is w?
-37, -9, 0
Find p, given that 440*p**3 - 6364*p**2 - 232*p = 0.
-2/55, 0, 29/2
Solve 4*d**3/3 - 2516*d**2/3 - 35848*d/3 - 102880/3 = 0.
-10, -4, 643
Find z such that 93*z**5 - 27138*z**4 + 1977132*z**3 + 383688*z**2 = 0.
-6/31, 0, 146
Factor 5*x**3 + 350*x**2 + 3855*x + 8550.
5*(x + 3)*(x + 10)*(x + 57)
Find i such that -2*i**4/3 - 5696*i**3/3 - 4049852*i**2/3 + 2705600*i - 1353750 = 0.
-1425, 1
Factor -55*g**3 + 1460*g**2 - 755*g - 650.
-5*(g - 26)*(g - 1)*(11*g + 5)
Find b such that 4*b**2 + 16356*b - 32728 = 0.
-4091, 2
Factor -5*g**2 - 279940*g - 3918320180.
-5*(g + 27994)**2
Find u such that 3*u**2 + 3018441*u = 0.
-1006147, 0
Factor h**5/3 - 38*h**4/3 - 1495*h**3/3 - 10816*h**2/3.
h**2*(h - 64)*(h + 13)**2/3
Factor -3*y**4 + 111*y**3 - 558*y**2 - 96*y + 2976.
-3*(y - 31)*(y - 4)**2*(y + 2)
Factor -2*k**2/3 - 5230*k/3 - 36512/3.
-2*(k + 7)*(k + 2608)/3
Factor -10*n**3 - 1853915*n**2 - 85924557200*n + 42962742080.
-5*(n + 92696)**2*(2*n - 1)
Suppose 2*y**2/11 + 6328*y + 139208/11 = 0. Calculate y.
-34802, -2
Let 5*k**3 + 315*k**2 + 4275*k + 10125 = 0. What is k?
-45, -15, -3
Determine y, given that -3*y**4 - 1240638*y**3 - 128262739287*y**2 + 513065844900*y - 513070807500 = 0.
-206775, 2
Find l such that -l**2/4 + 999*l/4 - 12980 = 0.
55, 944
Factor -2*n**4/9 - 448936*n**3/3 - 100771766048*n**2/3 - 22620036781262464*n/9.
-2*n*(n + 224468)**3/9
Find j such that 2*j**2/5 - 11754*j/5 + 46984/5 = 0.
4, 5873
Suppose r**3 + 5925*r**2 + 59175*r + 147875 = 0. What is r?
-5915, -5
Suppose u**3 - 1227*u**2 + 372051*u + 2664823 = 0. What is u?
-7, 617
Factor 3*f**2 + 68101*f + 22700.
(f + 22700)*(3*f + 1)
Factor 4*d**2/3 + 1185808*d/3 + 87883788304/3.
4*(d + 148226)**2/3
Solve -s**4 - 246*s**3 - 17065*s**2 - 204756*s + 2860256 = 0.
-113, -28, 8
What is r in -1078*r**4 + 4480*r**3 - 312*r**2 - 1376*r - 256 = 0?
-2/7, 8/11, 4
Factor -m**4 - 2024*m**3 - 1020079*m**2 + 4122924*m + 5140980.
-(m - 5)*(m + 1)*(m + 1014)**2
Determine x, given that -92*x**3 - 46732*x**2 + 2032*x = 0.
-508, 0, 1/23
Solve v**4 - 24*v**3 - 4138*v**2 - 16200*v - 12087 = 0 for v.
-51, -3, -1, 79
Suppose -36*d**5 + 10485*d**4 - 12995*d**3 - 15950*d**2 - 4*d + 1160 = 0. Calculate d.
-2/3, -1/3, 1/4, 2, 290
Determine d, given that 28*d**5 + 340*d**4 + 580*d**3 - 260*d**2 - 