**2 - 262602*z - 3.
-3*(43767*z + 1)**2
Determine s so that 3*s**3 - 51*s**2 - 123*s + 171 = 0.
-3, 1, 19
Factor 3*v**3/4 + 39*v**2/4 - 213*v - 2160.
3*(v - 16)*(v + 9)*(v + 20)/4
Factor -4*m**2 + 8084*m - 665640.
-4*(m - 1935)*(m - 86)
Suppose 18*h**5/7 + 916*h**4/7 + 12658*h**3/7 + 40760*h**2/7 - 19000*h/7 - 48000/7 = 0. What is h?
-30, -16, -5, -1, 10/9
Find b such that 5*b**3 - 5775135*b**2 = 0.
0, 1155027
Suppose 5*o**2 - 1576*o = 0. What is o?
0, 1576/5
Determine r, given that -3*r**5 - 51*r**4 + 12*r**3 + 960*r**2 = 0.
-16, -5, 0, 4
Factor 2*j**3/11 - 10410*j**2/11 - 20826*j/11 - 10414/11.
2*(j - 5207)*(j + 1)**2/11
What is p in 4*p**4/5 - 388*p**3/5 + 152*p**2 = 0?
0, 2, 95
Suppose -3*x**2 - 3633714*x - 1100323119483 = 0. What is x?
-605619
Find g such that 2*g**2/13 + 16664*g/13 - 50010/13 = 0.
-8335, 3
Factor -5*f**2 + 9260*f - 18500.
-5*(f - 1850)*(f - 2)
Suppose 2*o**4/3 - 26*o**3/3 + 64*o**2/3 + 152*o/3 - 64 = 0. What is o?
-2, 1, 6, 8
Factor j**2/4 + 237643*j + 56474195449.
(j + 475286)**2/4
What is s in -3*s**2 + 41919*s + 83850 = 0?
-2, 13975
Factor 2*i**4/7 - 18708*i**3/7 + 43842098*i**2/7 - 437018880*i/7 + 1091379200/7.
2*(i - 4672)**2*(i - 5)**2/7
Suppose 3*i**4 - 1861*i**3/5 + 112*i**2/5 + 1492*i/5 - 496/5 = 0. Calculate i.
-1, 2/5, 2/3, 124
Determine t, given that -2*t**5/5 - 8*t**4 + 482*t**3/5 - 1136*t**2/5 + 696*t/5 = 0.
-29, 0, 1, 2, 6
What is r in -2*r**2 - 90748*r - 1029399938 = 0?
-22687
Let 25*i**4 - 6760*i**3 - 17774*i**2 + 7920*i - 819 = 0. What is i?
-3, 1/5, 273
Factor -39*t**2 - 57747*t + 133470.
-3*(t + 1483)*(13*t - 30)
Determine l, given that -2*l**2/3 - 45172*l/3 - 45170/3 = 0.
-22585, -1
Determine j so that -3*j**3 - 396*j**2 - 5292*j + 159936 = 0.
-112, -34, 14
Let 3*q**5/4 - 231*q**4/4 - 3*q**3/2 + 231*q**2/2 + 3*q/4 - 231/4 = 0. What is q?
-1, 1, 77
Solve 94168*y**3/17 + 94182*y**2/17 - 46*y/17 - 60/17 = 0.
-1, -2/79, 15/596
Find h, given that -h**3 - 24*h**2 + 172*h + 3120 = 0.
-26, -10, 12
Solve 5*n**3 - 14770*n**2 - 163075*n = 0.
-11, 0, 2965
Suppose -3*b**2 + 389061*b = 0. Calculate b.
0, 129687
Factor j**3 + 119314*j**2 + 3558957649*j.
j*(j + 59657)**2
Factor 844*o**2 + 75108*o - 712.
4*(o + 89)*(211*o - 2)
Let -3*p**2/5 - 894*p/5 + 22149/5 = 0. What is p?
-321, 23
Determine h so that 4*h**2/5 - 1232*h/5 + 13980 = 0.
75, 233
Factor -2*q**4 + 55*q**3 - 249*q**2 - 504*q.
-q*(q - 21)*(q - 8)*(2*q + 3)
Factor -2*f**2/5 - 185516*f/5 - 371024/5.
-2*(f + 2)*(f + 92756)/5
Factor -x**2/3 - 73*x + 28764.
-(x - 204)*(x + 423)/3
Let 2*n**5/11 - 108*n**4 - 10560*n**3 - 240064*n**2 = 0. Calculate n.
-44, 0, 682
Let -28*d**5 - 2172*d**4 - 34484*d**3 + 299772*d**2 - 368928*d + 105840 = 0. Calculate d.
-42, 3/7, 1, 5
Factor -k**2/4 + 258*k + 16380.
-(k - 1092)*(k + 60)/4
Find t, given that 2*t**4 - 295*t**3/3 + 1375*t**2 - 12500*t/3 = 0.
0, 25/6, 20, 25
What is w in -5*w**4 + 1395*w**3 - 2770*w**2 = 0?
0, 2, 277
Suppose -3*n**5 + 1092*n**4 - 7542*n**3 + 16092*n**2 - 9639*n = 0. Calculate n.
0, 1, 3, 357
Factor 4*l**2 + 2716636*l + 2716632.
4*(l + 1)*(l + 679158)
Let -2*p**3/9 + 1754*p**2/3 - 10510*p/9 - 5258/3 = 0. What is p?
-1, 3, 2629
Determine u, given that -2*u**3/9 - 65510*u**2/3 - 131018*u/3 - 196526/9 = 0.
-98263, -1
Factor -l**4 + 75*l**3 - 1743*l**2 + 9425*l + 70644.
-(l - 29)**2*(l - 21)*(l + 4)
Factor -483*i**3 + 9*i**2/2 + i/6.
-i*(42*i - 1)*(69*i + 1)/6
Suppose -4*a**4 + 1896*a**3 - 59472*a**2 + 558360*a - 1190700 = 0. What is a?
3, 15, 441
What is k in 8*k**4/9 - 25042*k**3/9 + 19219060*k**2/9 + 594332800*k/9 - 49928000/3 = 0?
-30, 1/4, 1580
Factor -3*r**2 + 19629*r.
-3*r*(r - 6543)
Let 196608*x**3 - 2744064*x**2 - 472725*x/4 - 2541/2 = 0. Calculate x.
-11/512, 14
Factor w**4/9 - 614*w**3/9 - 1864*w**2/3 - 9338*w/9 - 4361/9.
(w - 623)*(w + 1)**2*(w + 7)/9
Solve -4*i**2 - 188*i + 1960592 = 0.
-724, 677
Factor y**3 - 146*y**2 - 18951*y + 58140.
(y - 228)*(y - 3)*(y + 85)
Factor 12*o**2 - 3508*o + 3496.
4*(o - 1)*(3*o - 874)
Solve -4*m**2 + 6185472*m - 2391253991424 = 0.
773184
What is q in q**3 - 3*q**2 - 3069*q - 62465 = 0?
-31, 65
Determine r so that -2*r**3/9 - 8*r**2/3 + 566*r/9 - 700/3 = 0.
-25, 6, 7
Solve 36*h**4 - 116020*h**3 + 93521764*h**2 - 72643212*h - 20762568 = 0 for h.
-2/9, 1, 1611
Factor 4*c**4 - 2040*c**3 + 287092*c**2 - 6882960*c + 45535504.
4*(c - 241)**2*(c - 14)**2
Determine p so that 3*p**5 - 32*p**4 + 70*p**3 + 60*p**2 - 73*p - 28 = 0.
-1, -1/3, 1, 4, 7
Let 3*p**2 + 204*p - 207 = 0. Calculate p.
-69, 1
Find r, given that 2*r**3/17 + 3848*r**2/17 + 226*r - 7692/17 = 0.
-1923, -2, 1
What is a in -a**2/10 - 1487*a/10 - 743/5 = 0?
-1486, -1
Let 3*p**4 + 10866*p**3 + 9839160*p**2 - 10866*p - 9839163 = 0. What is p?
-1811, -1, 1
Factor 3*c**3 + 45081*c**2 - 3*c - 45081.
3*(c - 1)*(c + 1)*(c + 15027)
Suppose -p**3 - 335*p**2 - 334*p = 0. Calculate p.
-334, -1, 0
Factor -l**4/4 - 1417*l**3 - 4018611*l**2/2 - 4014361*l - 8025889/4.
-(l + 1)**2*(l + 2833)**2/4
Factor -3*a**4 - 114*a**3 - 1065*a**2 - 2250*a.
-3*a*(a + 3)*(a + 10)*(a + 25)
What is s in -4*s**5 + 12344*s**4 + 99020*s**3 - 37024*s**2 - 321712*s - 198016 = 0?
-8, -1, 2, 3094
Factor -3*n**3 + 54024*n**2 - 216060*n + 216048.
-3*(n - 18004)*(n - 2)**2
Factor 2*q**3 + 928*q**2 + 123808*q + 3595520.
2*(q + 40)*(q + 212)**2
Let -5*p**5/4 - 32*p**4 + 133*p**3 + 489*p**2/2 - 4383*p/4 + 783/2 = 0. Calculate p.
-29, -3, 2/5, 3
Factor l**4/2 + 346*l**3 + 59162*l**2 - 240816*l + 242208.
(l - 2)**2*(l + 348)**2/2
Solve 5*r**2 + 60810*r - 60815 = 0.
-12163, 1
Solve 55*d**3 - 1330*d**2 + 4660*d - 4440 = 0 for d.
2, 222/11
Factor -2*p**3/7 - 666*p**2/7 - 65712*p/7 - 2026120/7.
-2*(p + 74)**2*(p + 185)/7
Factor 3*s**3 + 2526*s**2.
3*s**2*(s + 842)
Determine g so that 2*g**2/7 + 35136*g/7 + 316062/7 = 0.
-17559, -9
Solve 4*y**2/5 + 172*y + 840 = 0.
-210, -5
Find r, given that 2*r**5 - 156*r**4 - 12*r**3 + 920*r**2 + 1242*r + 468 = 0.
-1, 3, 78
Suppose -a**2/3 + 40012*a/3 - 400240036/3 = 0. What is a?
20006
Let 2*f**4 - 31196*f**3 + 121617602*f**2 + 243328800*f + 121680000 = 0. Calculate f.
-1, 7800
Let -92*j**4 + 544*j**3 + 3360*j**2 + 3968*j + 320 = 0. What is j?
-2, -2/23, 10
Factor -2*a**3 + 496*a**2 - 5686*a + 5192.
-2*(a - 236)*(a - 11)*(a - 1)
Factor -4*h**3 - 247660*h**2 - 3833343392*h + 3833591056.
-4*(h - 1)*(h + 30958)**2
Factor -t**3/8 - 311*t**2/8 - 3535*t - 75950.
-(t + 31)*(t + 140)**2/8
Solve -3*r**5 - 18459*r**4 + 73875*r**3 - 55425*r**2 - 73872*r + 73884 = 0.
-6157, -1, 1, 2
Solve 2*f**3/5 - 8*f**2 - 1304*f/5 + 11968/5 = 0.
-22, 8, 34
Let -f**5/3 + 5*f**4/3 + 82*f**3 - 758*f**2/3 + 763*f/3 - 85 = 0. What is f?
-15, 1, 17
Determine m so that -2*m**4/7 - 86*m**3 + 2518*m**2/7 + 3414*m + 32940/7 = 0.
-305, -3, -2, 9
Solve -2*h**3 + 1486*h**2 + 7492*h - 8976 = 0 for h.
-6, 1, 748
Determine i, given that -5*i**2/2 + 1271*i/2 - 127 = 0.
1/5, 254
What is s in -s**4/2 + 37*s**3 - 207*s**2/2 - 217*s + 284 = 0?
-2, 1, 4, 71
What is z in -10*z**2 - 24706*z + 9884 = 0?
-2471, 2/5
Solve -4*y**3/7 + 304*y**2/7 + 3788*y/7 + 3480/7 = 0 for y.
-10, -1, 87
Factor -2*l**2/5 + 2958*l/5 + 20804/5.
-2*(l - 1486)*(l + 7)/5
Determine w so that -2*w**3 + 124*w**2 + 398*w - 520 = 0.
-4, 1, 65
Factor -5*l**2 + 185*l - 1430.
-5*(l - 26)*(l - 11)
Suppose -2*f**4 + 2296*f**3 + 11542*f**2 - 13836*f = 0. What is f?
-6, 0, 1, 1153
Factor 5*p**4 + 6255*p**3 - 311760*p**2.
5*p**2*(p - 48)*(p + 1299)
Suppose -2*b**4 + 892*b**3 - 10506*b**2 + 39160*b - 43400 = 0. What is b?
2, 5, 434
Solve 2*f**3 - 612*f**2 - 2522*f + 13020 = 0 for f.
-7, 3, 310
Suppose -2*w**4/3 + 16*w**3 + 2054*w**2/3 - 14268*w + 65664 = 0. What is w?
-32, 9, 38
Factor -35*k**2 + 7075*k/2 - 1760.
-5*(2*k - 1)*(7*k - 704)/2
Factor 2*o**3 - 5466*o**2 - 21888*o - 21896.
2*(o - 2737)*(o + 2)**2
What is c in -c**2/6 + 12919*c/3 - 166900561/6 = 0?
12919
Determine c so that -5*c**4 + 990*c**3 + 21535*c**2 + 57600*c + 37060 = 0.
-17, -2, -1, 218
Find f such that -5*f**5/2 + 14830*f**4 - 22022510*f**3 + 87793640*f**2 + 88090080*f - 351411840 = 0.
-2, 2, 4, 2964
Factor -s**2/2 - 240*s.
-s*(s + 480)/2
Factor -w**3/4 + 265*w**2/4 + 13777*w/4 + 164519/4.
-(w - 311)*(w + 23)**2/4
Let -52286*p**3/3 + 156862*p**2/9 - 4*p/9 = 0. Calculate p.
0, 2/78429, 1
Factor -2*p**4 + 8692*p**3 - 9452546*p**2 + 18879024