19120
Determine d so that -2*d**4/7 + 10448*d**3/7 + 220050*d**2/7 + 1258384*d/7 + 2181920/7 = 0.
-13, -4, 5245
Factor 3*y**4 + 6870*y**3 - 48261*y**2 - 55128*y.
3*y*(y - 8)*(y + 1)*(y + 2297)
Factor 4*b**2 - 118064*b + 16099692.
4*(b - 29379)*(b - 137)
Suppose 4*g**5 - 192*g**4 + 1496*g**3 + 15504*g**2 + 16452*g - 33264 = 0. What is g?
-4, -3, 1, 21, 33
Suppose g**5 + 426*g**4 + 27077*g**3 + 69824*g**2 - 481788*g - 1033040 = 0. What is g?
-349, -74, -5, -2, 4
Factor a**3/2 - 4999*a**2 + 49940*a.
a*(a - 9988)*(a - 10)/2
Factor 2*u**3 + 1548*u**2 - 1350216*u + 212806224.
2*(u - 282)**2*(u + 1338)
Solve -3*v**3 + 234*v**2 + 956277*v + 184826040 = 0.
-301, 680
Factor -4*u**4 - 412*u**3 - 6016*u**2 - 14448*u.
-4*u*(u + 3)*(u + 14)*(u + 86)
Find t such that -3*t**5 + 749931*t**4 - 3749604*t**3 + 5999340*t**2 - 2999664*t = 0.
0, 1, 2, 249972
Factor 5*i**3 - 155835*i**2 - 79174185*i - 9975893345.
5*(i - 31669)*(i + 251)**2
Factor -5*c**3 - 895*c**2 - 18340*c + 40300.
-5*(c - 2)*(c + 26)*(c + 155)
Factor -5*a**2 - 455621630*a - 10379553486192845.
-5*(a + 45562163)**2
Find p, given that -p**2/3 - 46434040*p/3 - 539030017680400/3 = 0.
-23217020
Factor 5*i**2 - 27895*i - 2724000.
5*(i - 5675)*(i + 96)
Solve -2*l**5/11 + 19662*l**4/11 + 197058*l**3/11 - 212930*l**2 + 707328*l/11 + 12045384/11 = 0.
-17, -2, 3, 6, 9841
Suppose 4*q**4 + 424608*q**3 - 2547756*q**2 + 3821688*q = 0. What is q?
-106158, 0, 3
Let -z**2/4 + 150976681*z/2 - 22793958205775761/4 = 0. Calculate z.
150976681
Solve 3*p**3 - 69351861*p**2 + 400806684004344*p + 400806753356208 = 0 for p.
-1, 11558644
Find j such that 5*j**2 + 3690*j - 1042040 = 0.
-956, 218
Solve -2*f**3/5 - 231224*f**2/5 + 462454*f/5 - 231228/5 = 0.
-115614, 1
Find w such that -320*w**5 + 37792*w**4 - 222180*w**3 + 400292*w**2 - 226552*w + 34944 = 0.
1/4, 3/5, 2, 13/4, 112
Factor -2*c**2/3 + 34948*c/3 + 326704.
-2*(c - 17502)*(c + 28)/3
Let -1695204*w**4/5 - 190092*w**3 - 128017*w**2/5 + 292*w - 4/5 = 0. What is w?
-2/7, 1/186
Factor -116*r**2/3 - 1132042*r/9 + 6506/9.
-2*(r + 3253)*(174*r - 1)/9
Factor -5*u**4 - 230*u**3 + 735*u**2 - 20*u - 980.
-5*(u - 2)**2*(u + 1)*(u + 49)
Suppose 42*s**5 + 20757*s**4 + 208098*s**3 + 223629*s**2 + 10110*s - 26136 = 0. What is s?
-484, -9, -1, -1/2, 2/7
Determine v, given that 2*v**2/7 + 12596*v/7 + 15889970/7 = 0.
-4553, -1745
Factor -2*b**2 - 42146536*b + 42146538.
-2*(b - 1)*(b + 21073269)
Factor -5*h**3 - 111705*h**2 + 7164480*h - 114713600.
-5*(h - 32)**2*(h + 22405)
Find h, given that -4*h**5 - 911564*h**4 - 15495852*h**3 - 95708180*h**2 - 250662400*h - 227874000 = 0.
-227874, -5, -2
Suppose -3*w**3/7 - 94222*w**2/7 - 125625*w/7 - 31406/7 = 0. Calculate w.
-31406, -1, -1/3
Determine v so that 6*v**4 - 5900451*v**3 + 26551944*v**2 - 35402556*v + 11800848 = 0.
1/2, 2, 983404
Find c such that -2*c**2/5 - 1452559664*c/5 - 263741197184974112/5 = 0.
-363139916
Factor 3*c**3 - 10098*c**2 + 664359*c - 4156740.
3*(c - 3299)*(c - 60)*(c - 7)
Factor -2*i**2 + 3443040*i + 17215250.
-2*(i - 1721525)*(i + 5)
Let l**3 + 79200*l**2 - 316812*l + 316816 = 0. What is l?
-79204, 2
Solve -3*c**4 + 1161*c**3 + 560163*c**2 + 3877659*c + 6623100 = 0 for c.
-275, -4, -3, 669
What is t in 2*t**2/7 - 9008*t/7 + 7921176/7 = 0?
1198, 3306
Let -2*a**2/7 + 433530292*a/7 - 23493564260200658/7 = 0. What is a?
108382573
Let -5*n**3 + 34030*n**2 + 374795*n + 954380 = 0. Calculate n.
-7, -4, 6817
Solve -h**2/2 - 114200*h + 685218 = 0.
-228406, 6
Suppose 3*u**3/2 + 39784107*u**2 + 263795742278880*u - 1582775885901456 = 0. Calculate u.
-13261372, 6
Factor 2*u**2/7 + 14429974*u/7 - 14429988.
2*(u - 7)*(u + 7214994)/7
Find u, given that 5*u**4 + 199402*u**3 + 877295*u**2 + 917154*u + 239256 = 0.
-39876, -3, -1, -2/5
Factor -4*t**4/9 + 728*t**3/9 + 210956*t**2/9 - 2467920*t - 413715600.
-4*(t - 226)**2*(t + 135)**2/9
Factor -5*z**3 + 340880*z**2 + 5796405*z.
-5*z*(z - 68193)*(z + 17)
Let y**4/6 + 44254*y**3/3 + 1282075*y**2 - 7825214*y/3 + 7869469/6 = 0. Calculate y.
-88421, -89, 1
Let 872*p**4 - 54188*p**3 + 158824*p**2 + 166700*p + 36816 = 0. What is p?
-1/2, -39/109, 4, 59
Let -7471*d**3/4 + 33620*d**2 - 127043*d/4 + 17/2 = 0. Calculate d.
2/7471, 1, 17
Find t, given that 3*t**2/5 + 103102392*t/5 + 885841936343472/5 = 0.
-17183732
Suppose -3*f**3 - 397035*f**2 - 397032*f = 0. What is f?
-132344, -1, 0
Find c such that 4*c**5 - 1676*c**4 + 189732*c**3 - 2491108*c**2 - 82518136*c - 79835616 = 0.
-14, -1, 36, 199
Factor 5*g**2 - 110995*g + 10499400.
5*(g - 22104)*(g - 95)
Factor 4*h**2 + 64880112*h + 64880108.
4*(h + 1)*(h + 16220027)
Solve -o**3 - 11456933*o**2 - 22913863*o - 11456931 = 0.
-11456931, -1
Suppose 3*n**5/7 + 12751*n**4/7 + 18062498*n**3/7 + 8523484554*n**2/7 - 5696381093*n/7 - 2845178713/7 = 0. What is n?
-1417, -1/3, 1
Determine u so that -3*u**4 + 51044*u**3 + 221234*u**2 + 221244*u + 51057 = 0.
-3, -1, -1/3, 17019
Find x, given that -4*x**3 - 1888*x**2 - 206204*x + 1772512 = 0.
-287, -193, 8
Solve 18*j**3/5 - 19817558*j**2 - 77068296*j/5 + 22019512/5 = 0 for j.
-1, 2/9, 5504878
Factor -5*f**2/3 + 69340*f/3 + 1806220/3.
-5*(f - 13894)*(f + 26)/3
Let -4*f**4/3 + 27568*f**3/3 - 5014588*f**2/3 - 1680720*f = 0. Calculate f.
-1, 0, 188, 6705
Let 4*a**4/7 + 4*a**3 - 700*a**2 + 55556*a/7 = 0. Calculate a.
-43, 0, 17, 19
Determine f so that -2*f**4 - 12*f**3 + 47394*f**2 - 837540*f = 0.
-165, 0, 18, 141
Determine z, given that z**3/5 + 117*z**2/5 - 5596*z/5 + 15708/5 = 0.
-154, 3, 34
Factor 4*j**2 + 20754156*j + 83016560.
4*(j + 4)*(j + 5188535)
Find i, given that 147*i**5 - 4091514*i**4 - 760115400*i**3 - 1932536784*i**2 - 918537744*i - 122382624 = 0.
-182, -2, -2/7, 28018
Factor 4*d**4 + 854292*d**3 - 12814980*d**2 + 64075900*d - 106794000.
4*(d - 5)**3*(d + 213588)
Factor -3*b**2 + 19749*b + 2906064.
-3*(b - 6727)*(b + 144)
Factor 2*i**4/13 - 5736*i**3/13 - 80696*i**2/13.
2*i**2*(i - 2882)*(i + 14)/13
Factor 2*m**2/7 + 863078*m/7.
2*m*(m + 431539)/7
Let -2*t**3/13 + 240628*t**2/13 + 29378942*t/13 + 896284712/13 = 0. Calculate t.
-61, 120436
Factor 3*y**4 + 28016430*y**3 + 65409889079775*y**2 - 654100992031500*y + 1635254231107500.
3*(y - 5)**2*(y + 4669410)**2
Factor -123*c**3 + 8449611*c**2/2 - 36278443470*c + 442419414.
-3*(c - 17174)**2*(82*c - 1)/2
Let -u**3/4 - 6007*u**2/4 + 30114*u - 126567 = 0. What is u?
-6027, 6, 14
Solve -2*h**4 - 5194*h**3 - 56938*h**2 - 118886*h + 181020 = 0.
-2586, -7, -5, 1
Find r, given that 21168*r**3 - 408224376*r**2 - 9719637*r - 57855 = 0.
-1/84, 19285
Factor 5*w**4 - 10725545*w**3 + 7669222297050*w**2 - 1828005147254391500*w + 34729329282150065000.
5*(w - 715030)**3*(w - 19)
Factor 4*t**3 + 11168*t**2 + 772764*t.
4*t*(t + 71)*(t + 2721)
Find k such that 2*k**2/9 + 1563728*k/3 - 4691202 = 0.
-2345601, 9
Factor 3*m**2/2 + 20024274*m + 66828591537846.
3*(m + 6674758)**2/2
Factor -2*d**3 - 2491008*d**2 - 775635124968*d + 3102580356128.
-2*(d - 4)*(d + 622754)**2
Find m such that 147*m**5 - 15169*m**4/2 + 10106*m**3 + 43763*m**2/2 - 17628*m - 21672 = 0.
-1, 12/7, 301/6
Find m, given that 240*m**5 + 26106*m**4 + 965001*m**3/2 + 4830237*m**2/2 - 1191861*m/2 - 284229/2 = 0.
-87, -11, -3/20, 3/8
Determine c so that -4*c**5 + 24*c**4 + 1292*c**3 - 7584*c**2 - 68608*c + 368640 = 0.
-16, -8, 5, 9, 16
Factor 4*z**2 - 5360*z - 508724.
4*(z - 1429)*(z + 89)
Factor 2*m**2/15 + 110065304*m/5 - 330195914/15.
2*(m - 1)*(m + 165097957)/15
Factor 3*n**2/5 + 11660226*n + 56650362654615.
3*(n + 9716855)**2/5
Suppose -o**5 + 1086*o**4 - 5413*o**3 + 8652*o**2 - 4324*o = 0. What is o?
0, 1, 2, 1081
Determine g so that 3*g**4 - 89367*g**3 - 625731*g**2 + 446715*g + 6704100 = 0.
-5, 3, 29796
Factor 302*w**2/7 + 8310*w/7 - 54648/7.
2*(w + 33)*(151*w - 828)/7
Find g such that 12*g**5 + 23295*g**4 - 204471*g**3 + 543759*g**2 - 567345*g + 204750 = 0.
-1950, 1, 7/4, 5
Factor -3*x**2/2 - 1482333*x/2 - 2223486.
-3*(x + 3)*(x + 494108)/2
Factor -2*x**2/9 + 61036*x/3 - 1464736/9.
-2*(x - 91546)*(x - 8)/9
Find m such that -3*m**4/4 + 1077*m**3/4 + 26079*m**2/4 - 356337*m/4 + 82296 = 0.
-32, 1, 9, 381
Factor -11*q**3/4 + 76696687*q**2/2 - 133690498867485*q + 24307362162738.
-(q - 6972426)**2*(11*q - 2)/4
Suppose -4*r**3/5 - 396*r**2 - 69308*r/5 + 71292/5 = 0. Calculate r.
-457, -39, 1
Determine m so that