 21255*h**2 + 85080*h + 85100.
-5*(h - 4255)*(h + 2)**2
Suppose a**2/3 - 8*a/3 - 171 = 0. What is a?
-19, 27
Suppose 2*l**5/5 - 26*l**4/5 + 64*l**3/5 - 8*l**2 = 0. What is l?
0, 1, 2, 10
Suppose d**5/2 + 9*d**4/2 + 13*d**3/2 - 9*d**2/2 - 7*d = 0. Calculate d.
-7, -2, -1, 0, 1
Determine g so that g**5/2 - 1349*g**4/6 - 7267*g**3/6 - 1977*g**2/2 + 3632*g/3 + 3640/3 = 0.
-4, -4/3, -1, 1, 455
Let -5*i**3 - 5*i**2 + 1605*i - 10395 = 0. Calculate i.
-21, 9, 11
What is i in i**2/6 + 9*i - 715/6 = 0?
-65, 11
Factor 2*g**2 + 1057936*g - 1057938.
2*(g - 1)*(g + 528969)
Factor -3*l**3 - 87*l**2 + 68328*l - 3376620.
-3*(l - 78)**2*(l + 185)
Factor 4*o**4 - 68*o**3 + 376*o**2 - 672*o.
4*o*(o - 7)*(o - 6)*(o - 4)
Factor 3*f**3/7 - 3078*f**2/7 + 12276*f/7 - 1752.
3*(f - 1022)*(f - 2)**2/7
Let -1095*p**4 + 2638*p**3 - 1995*p**2 + 456*p - 4 = 0. What is p?
2/219, 2/5, 1
Determine n so that -n**2 + 40918*n - 418570681 = 0.
20459
Suppose -b**3/3 + 21063*b**2 - 332726945*b - 998244025/3 = 0. What is b?
-1, 31595
Let -2*h**5 + 4*h**4 + 154*h**3 - 740*h**2 + 1144*h - 560 = 0. What is h?
-10, 1, 2, 7
Find z such that -z**4 - 3*z**3 + 175*z**2 + 1299*z + 1890 = 0.
-9, -7, -2, 15
Factor 4*v**3 - 268*v**2 + 1952*v - 3776.
4*(v - 59)*(v - 4)**2
Determine d so that 2*d**5/11 - 42*d**4/11 + 70*d**3/11 + 690*d**2/11 - 72*d/11 - 648/11 = 0.
-3, -1, 1, 6, 18
Factor 2*j**3 - 38*j**2 - 198226*j + 594966.
2*(j - 323)*(j - 3)*(j + 307)
Solve -2*i**3 + 2462*i**2 - 53438*i + 292578 = 0 for i.
11, 1209
Factor z**2 - 1980*z - 1981.
(z - 1981)*(z + 1)
Determine i so that -2*i**2/7 - 222*i/7 + 12464/7 = 0.
-152, 41
Determine b so that -4*b**3/7 - 244*b**2/7 - 2812*b/7 + 3060/7 = 0.
-45, -17, 1
Factor 2*k**2/7 + 13434*k/7.
2*k*(k + 6717)/7
Factor 4*s**4/7 - 3004*s**3/7 - 8360*s**2.
4*s**2*(s - 770)*(s + 19)/7
Factor 2*v**2/7 + 1380*v/7 + 4122/7.
2*(v + 3)*(v + 687)/7
Suppose 2*y**4/11 - 482*y**3/11 - 2954*y**2/11 - 2470*y/11 = 0. What is y?
-5, -1, 0, 247
Suppose 15*z**5 - 250*z**4 - 605*z**3 + 780*z**2 + 1180*z - 1120 = 0. Calculate z.
-2, 1, 56/3
Factor 4*y**3 + 1625632*y**2 + 3251248*y.
4*y*(y + 2)*(y + 406406)
What is n in 6*n**4/11 - 42782*n**3/11 - 199790*n**2/11 + 71350*n/11 = 0?
-5, 0, 1/3, 7135
Suppose -46*g**4/11 - 12462*g**3/11 + 1084*g**2/11 = 0. What is g?
-271, 0, 2/23
Factor b**3 + 1456*b**2 - 1463*b - 8742.
(b - 3)*(b + 2)*(b + 1457)
Determine z so that z**3/7 + 1096*z**2/7 + 47771*z + 4453274 = 0.
-662, -217
Find v, given that 4899*v**3/2 - 4911*v**2/2 + 6*v = 0.
0, 4/1633, 1
Factor 3*h**3 - 357*h**2 + 3813*h + 4173.
3*(h - 107)*(h - 13)*(h + 1)
Factor 3*f**3 - 591*f**2 - 3012*f - 3636.
3*(f - 202)*(f + 2)*(f + 3)
Let q**3/2 - 817*q**2/2 + 84448*q - 412090 = 0. What is q?
5, 406
Determine z so that -4*z**5 + 372*z**4 + 820*z**3 - 5700*z**2 = 0.
-5, 0, 3, 95
Let -5*y**4 + 5440*y**3 - 21665*y**2 - 16350*y + 97560 = 0. What is y?
-2, 3, 1084
Factor -a**2/3 - 7736*a/3 - 7733.
-(a + 3)*(a + 7733)/3
Factor d**2 - 666*d - 15847.
(d - 689)*(d + 23)
Factor -o**4/4 + 180*o**3 - 127413*o**2/4 - 395307*o/2.
-o*(o - 363)**2*(o + 6)/4
Let 575*n**4 + 100615*n**3 + 4138250*n**2 - 23359500*n + 405000 = 0. Calculate n.
-90, 2/115, 5
Factor g**5 + 1982*g**4 + 1312722*g**3 + 292693532*g**2 + 1423138837*g - 1717147074.
(g - 1)*(g + 6)*(g + 659)**3
Determine p so that 2*p**2 + 1590*p + 189508 = 0.
-649, -146
What is i in i**2/3 + 1574*i/3 - 8480 = 0?
-1590, 16
Suppose -5*y**2 + 1146515*y + 1146520 = 0. Calculate y.
-1, 229304
Factor -3*s**3/4 + 843*s**2/2 - 1665*s/4 - 5049/2.
-3*(s - 561)*(s - 3)*(s + 2)/4
What is q in q**4 - 5542*q**3 + 7407817*q**2 + 749899104*q + 18309337344 = 0?
-48, 2819
Find c such that 2*c**3/5 - 404*c**2/5 + 464*c + 6272/5 = 0.
-2, 8, 196
Determine d so that -3*d**3/4 - 10485*d**2/4 - 10479*d/2 = 0.
-3493, -2, 0
Factor y**4 - 45*y**3 - 212*y**2 + 720*y + 3136.
(y - 49)*(y - 4)*(y + 4)**2
Let -4*m**2 - 421480*m + 421484 = 0. Calculate m.
-105371, 1
Factor -4*n**3 - 5920*n**2 + 5924*n.
-4*n*(n - 1)*(n + 1481)
Find o, given that 3*o**4 - 9*o**3 - 684*o**2 - 4044*o - 5472 = 0.
-8, -6, -2, 19
Factor 2*o**4 + 130*o**3 + 2576*o**2 + 14112*o.
2*o*(o + 9)*(o + 28)**2
Let l**4/6 + 21*l**3/2 + 781*l**2/6 + 459*l/2 + 329/3 = 0. What is l?
-47, -14, -1
Factor -z**2/2 - 15*z/2 + 4532.
-(z - 88)*(z + 103)/2
Factor s**2/3 + 58354*s/3 + 851297329/3.
(s + 29177)**2/3
Find l such that -100*l**5 - 1620*l**4 - 1756*l**3 + 708*l**2 + 704*l - 240 = 0.
-15, -1, 2/5
Determine i so that -2*i**4/3 + 3116*i**3 - 9344*i**2/3 - 3116*i + 9346/3 = 0.
-1, 1, 4673
Determine h so that -h**4/2 - 67*h**3/2 + 254*h**2 - 370*h = 0.
-74, 0, 2, 5
Factor 5*a**2 + 6810*a - 20475.
5*(a - 3)*(a + 1365)
Suppose -24*q**5/7 + 3230*q**4/7 + 5699*q**3 + 16195*q**2/7 + 1606*q/7 = 0. Calculate q.
-11, -1/4, -1/6, 0, 146
Factor -u**4/4 + 471*u**3/2 - 215149*u**2/4 - 787983*u - 2798929.
-(u - 478)**2*(u + 7)**2/4
Factor 2*i**2/3 + 40380*i + 121138/3.
2*(i + 1)*(i + 60569)/3
Let 6*w**3 - 1850*w**2 + 11516*w - 12080 = 0. What is w?
4/3, 5, 302
Factor -234*w**3/5 + 128224*w**2/5 - 3512680*w - 600608/5.
-2*(w - 274)**2*(117*w + 4)/5
Factor 16*o**3/7 + 92*o**2 + 1376*o/7 + 304/7.
4*(o + 2)*(o + 38)*(4*o + 1)/7
Suppose 2*i**5 + 64*i**4 + 572*i**3 + 960*i**2 + 450*i = 0. Calculate i.
-15, -1, 0
Factor 2*v**2 + 675448*v + 57028750088.
2*(v + 168862)**2
Determine c so that 2*c**5/17 + 38*c**4/17 - 406*c**3/17 - 6590*c**2/17 + 14236*c/17 - 7280/17 = 0.
-20, -14, 1, 13
Factor 2*m**3 + 2372*m**2 + 18782*m - 77748.
2*(m - 3)*(m + 11)*(m + 1178)
Factor -3*y**3/7 - 60*y**2/7 - 117*y/7 + 1620/7.
-3*(y - 4)*(y + 9)*(y + 15)/7
Determine r so that 7*r**4/2 + 799*r**3 + 48651*r**2/2 + 203116*r + 56066 = 0.
-194, -17, -2/7
Solve -8*a**3 - 7563*a**2 - 243603*a - 90288 = 0.
-912, -33, -3/8
Suppose x**3 + 1623*x**2 - 29457*x + 132921 = 0. What is x?
-1641, 9
Factor -2*d**2/3 + 310256*d/3 - 12032348192/3.
-2*(d - 77564)**2/3
Factor -4*n**3 + 38820*n**2 - 38816*n.
-4*n*(n - 9704)*(n - 1)
Let -2*o**3 + 142*o**2/11 - 258*o/11 + 90/11 = 0. Calculate o.
5/11, 3
Let -l**5 - 130*l**4 - 4552*l**3 - 18640*l**2 + 133424*l - 153760 = 0. What is l?
-62, -10, 2
Factor -3*s**2 - 84*s + 2679.
-3*(s - 19)*(s + 47)
Determine z so that 37*z**5/8 + 11*z**4 - 67*z**3/2 - 14*z**2 = 0.
-4, -14/37, 0, 2
Factor -29*q**2/4 - 43*q/4 + 15/2.
-(q + 2)*(29*q - 15)/4
Determine m so that -45*m**5 + 228*m**4 - 330*m**3 + 156*m**2 - 9*m = 0.
0, 1/15, 1, 3
Suppose -2*u**4/5 - 378*u**3 - 568416*u**2/5 - 52824488*u/5 = 0. What is u?
-382, -181, 0
What is v in 2*v**3/5 - 2146*v**2/5 + 406884*v/5 = 0?
0, 246, 827
Solve -45*r**3 + 3327585*r**2 + 2218405*r + 369735 = 0.
-1/3, 73947
Determine w, given that -5*w**3 + 275*w**2 - 2795*w - 3075 = 0.
-1, 15, 41
Find z, given that -2*z**3 - 801*z**2/5 - 6179*z/5 + 15642/5 = 0.
-711/10, -11, 2
Factor f**3/4 - 45*f**2/4 + 63*f/2.
f*(f - 42)*(f - 3)/4
Suppose -p**5/3 + 37*p**4 + 10769*p**3 + 1973573*p**2/3 + 13920998*p + 62118672 = 0. Calculate p.
-49, -6, 264
Find o such that o**2 - 47064*o + 553755024 = 0.
23532
Suppose -722*f**3 + 20444*f**2 - 6402*f + 504 = 0. What is f?
3/19, 28
Factor -2336*c**2/5 - 2324*c/5 + 12/5.
-4*(c + 1)*(584*c - 3)/5
Factor -3*k**3 - 3759*k**2 - 92022*k + 95784.
-3*(k - 1)*(k + 26)*(k + 1228)
Determine z so that -2*z**2/3 + 417436*z/3 - 21781601762/3 = 0.
104359
Find p such that -2*p**4 + 296*p**3 = 0.
0, 148
Factor -2*k**4 + 39164*k**3 - 191727362*k**2.
-2*k**2*(k - 9791)**2
Factor 40*x**2 - 26270*x + 13125.
5*(2*x - 1)*(4*x - 2625)
Suppose 33*y**3/5 - 540*y**2 + 7329*y/5 + 1422/5 = 0. Calculate y.
-2/11, 3, 79
Factor 2*k**2 + 18884*k - 930118.
2*(k - 49)*(k + 9491)
Determine k, given that k**4/3 + 845*k**3/3 + 1958*k**2 + 6688*k/3 - 13408/3 = 0.
-838, -4, 1
Factor -4*f**3 - 632*f**2 + 15612*f - 41040.
-4*(f - 19)*(f - 3)*(f + 180)
Factor 3*o**4 - 342*o**3 + 7440*o**2 + 57600*o.
3*o*(o - 80)*(o - 40)*(o + 6)
Determine s so that -4*s**4/5 + 3252*s**3/5 + 1956*s**2 + 9788*s/5 + 3264/5 = 0.
-1, 816
Solve -q**4 - 417*q**3 - 63318*q**2 - 4093100*q - 92608248 = 0.
-122, -51
What is n in n**3/4 - 96*n**2 + 6213*n - 111188 = 0?
38, 308
Suppose p**4/7 + 64*p**3/7 + 1257*p**2/7 + 8266*p/7 + 7072/7 = 0. Calculate p.
-34, -16, -13, -1
Factor -5*l**2/4 + 243895*l/2 - 11896954205/4.
-5*(l - 48779)**2/4
Find j such that 8