3355*n**3/4 + 3795*n**2/4 + 244*n - 81 = 0. Calculate n.
-2, -1, 2/11, 81
Let -8*f**2 + 335*f + 387 = 0. Calculate f.
-9/8, 43
Determine z so that 3*z**2 + 3389138*z - 1129713 = 0.
-1129713, 1/3
Find z such that -2*z**4/5 - 1062*z**3/5 - 140444*z**2/5 + 28728*z + 283024/5 = 0.
-266, -1, 2
Factor 4*o**2 + 588*o + 14384.
4*(o + 31)*(o + 116)
Factor a**2/2 - 165*a + 981/2.
(a - 327)*(a - 3)/2
Let 2*d**4/7 + 572*d**3/7 + 6974*d**2 + 151704*d - 158760 = 0. Calculate d.
-126, -35, 1
Factor 811*w**2/2 + 6493*w/2 + 20.
(w + 8)*(811*w + 5)/2
Suppose 3*r**2 + 40518*r + 136809027 = 0. What is r?
-6753
Find f such that 5*f**4 - 460*f**3 + 3025*f**2 - 4250*f = 0.
0, 2, 5, 85
Solve -4*f**4 + 694652*f**3 - 30159879528*f**2 + 90474776080*f - 60315591200 = 0.
1, 2, 86830
Factor 37665*j**2 - 115*j.
5*j*(7533*j - 23)
Factor 5*u**2 + 8050*u + 32120.
5*(u + 4)*(u + 1606)
Solve f**4/5 + 304*f**3/5 - 4738*f**2/5 + 15056*f/5 + 20097/5 = 0.
-319, -1, 7, 9
Factor -3*t**2/2 - 59262*t - 585330774.
-3*(t + 19754)**2/2
Factor h**3/4 - 1556*h**2 + 9690765*h/4 - 9678321/2.
(h - 3111)**2*(h - 2)/4
Factor -16*x**4 - 107812*x**3 + 80865*x**2 - 80867*x/4 + 6739/4.
-(x + 6739)*(4*x - 1)**3/4
Determine g, given that -4*g**5 - 13125*g**4 + 45959*g**3/2 - 9849*g**2/2 = 0.
-3283, 0, 1/4, 3/2
What is c in -18*c**5/7 + 318*c**4/7 + 18736*c**3/7 - 13264*c**2/7 - 42272*c/7 - 2400 = 0?
-25, -2/3, 2, 42
Let -q**3 - 35*q**2 + 418*q + 968 = 0. Calculate q.
-44, -2, 11
Let -x**2/6 - 2681*x/6 - 893 = 0. Calculate x.
-2679, -2
Determine c so that 7991929*c**3 + 39948337*c**2 - 56536*c + 20 = 0.
-5, 2/2827
Suppose -5*s**4 - 2110*s**3 - 26760*s**2 - 71330*s + 100205 = 0. What is s?
-409, -7, 1
Solve 121*o**5/6 + 26213*o**4/6 - 407944*o**3/3 + 3052252*o**2/3 - 1069768*o/3 + 96040/3 = 0 for o.
-245, 2/11, 14
Suppose g**3/4 - 4524*g**2 + 81884397*g/4 - 81848209/2 = 0. What is g?
2, 9047
Let 3*v**4 + 59*v**3 - 2620*v**2 - 7292*v - 3680 = 0. What is v?
-40, -2, -2/3, 23
Solve -3*j**4 - 33*j**3 + 21*j**2 + 249*j + 198 = 0.
-11, -2, -1, 3
Factor 3*a**2 + 40782*a + 138597627.
3*(a + 6797)**2
Solve -5*m**3 + 65*m**2 + 3050*m + 17680 = 0.
-13, -8, 34
Factor -5*q**3 + 882525*q**2 - 38942077515*q - 38942960045.
-5*(q - 88253)**2*(q + 1)
Find c, given that 2*c**3 + 108*c**2 + 1944*c + 11664 = 0.
-18
Factor 4*l**4 + 1064*l**3 + 6276*l**2 + 9376*l + 4160.
4*(l + 1)**2*(l + 4)*(l + 260)
Factor 5*d**3 + 49165*d**2 + 49100*d - 589920.
5*(d - 3)*(d + 4)*(d + 9832)
What is g in 4*g**3/3 + 106031*g**2/3 + 234215852*g - 58556172 = 0?
-13254, 1/4
Find q such that -2*q**2/3 + 17428*q/3 - 37966898/3 = 0.
4357
Determine u so that -5*u**2 - 455*u - 5070 = 0.
-78, -13
Let -c**2/7 + 1089*c/7 - 2174/7 = 0. Calculate c.
2, 1087
Factor r**3/8 + 211*r**2/8 + 5151*r/8 + 4941/8.
(r + 1)*(r + 27)*(r + 183)/8
Factor -o**4 - 924*o**3 + 10250*o**2 - 32700*o + 23375.
-(o - 5)**2*(o - 1)*(o + 935)
Factor -5*g**2 + 37385*g - 37380.
-5*(g - 7476)*(g - 1)
Factor 2*h**2/11 - 1042*h/11 - 43364.
2*(h - 814)*(h + 293)/11
Let 5*r**5/6 - 3277*r**4/6 + 191795*r**3/3 - 76456*r**2/3 = 0. What is r?
0, 2/5, 152, 503
Factor -4*n**3/9 + 2944*n**2/9 - 517376*n/9 - 9048064/9.
-4*(n - 376)**2*(n + 16)/9
Solve 54*c**5 + 1449*c**4 + 11112*c**3 + 29172*c**2 + 18384*c + 2304 = 0.
-16, -6, -4, -2/3, -1/6
Suppose -5*a**2 + 2000010*a - 200002000005 = 0. What is a?
200001
Find s, given that -4*s**2 - 1236*s - 91256 = 0.
-187, -122
Determine a, given that -a**5 + 130*a**4 - 4092*a**3 - 8712*a**2 = 0.
-2, 0, 66
Let 26733*k**5 - 77423*k**4 - 35065*k**3 + 77435*k**2 + 8332*k - 12 = 0. Calculate k.
-1, -2/19, 2/1407, 1, 3
What is v in -3*v**4 - 204*v**3 - 2361*v**2 - 4644*v + 20412 = 0?
-54, -9, -7, 2
Factor -2*u**3/17 - 670*u**2/17 - 9600*u/17.
-2*u*(u + 15)*(u + 320)/17
What is x in -2*x**4/5 - 956*x**3/5 + 962*x**2/5 + 1916*x/5 = 0?
-479, -1, 0, 2
Factor 3*h**3 - 1971*h**2 + 378288*h - 22563516.
3*(h - 373)*(h - 142)**2
Determine y so that -68*y**2/5 - 1362*y - 6650 = 0.
-95, -175/34
Find v such that 4*v**4/3 - 17356*v**3/3 + 69260*v**2 - 363076*v/3 - 1696184/3 = 0.
-2, 7, 4327
Factor -3*c**3 - 53721*c**2 - 240576048*c - 721244736.
-3*(c + 3)*(c + 8952)**2
Factor -3*c**3/5 + 6936*c**2/5 - 853995*c + 158444250.
-3*(c - 1462)*(c - 425)**2/5
Solve 2*j**2 + 44190*j + 44188 = 0 for j.
-22094, -1
Let 37365*y**2 + 186815*y - 50 = 0. What is y?
-5, 2/7473
Factor 3*a**2 - 5404560*a + 2434105732800.
3*(a - 900760)**2
Solve -21*v**2/2 + 445623*v - 127320 = 0.
2/7, 42440
Factor 2*f**4/7 - 2362*f**3/7 + 7074*f**2/7 - 1010*f + 2356/7.
2*(f - 1178)*(f - 1)**3/7
Factor 906*g**2 + 10876*g + 48.
2*(g + 12)*(453*g + 2)
Factor -f**3/5 + 2283*f**2/5.
-f**2*(f - 2283)/5
Factor -i**3/4 - 443*i**2/2 - 241329*i/4 - 5217435.
-(i + 213)**2*(i + 460)/4
Suppose -1760*q**2 - 2985*q = 0. Calculate q.
-597/352, 0
Suppose -k**4/3 - k**3/3 + 353*k**2 - 2111*k/3 + 1054/3 = 0. Calculate k.
-34, 1, 31
Determine v, given that -2*v**3 + 872*v**2 + 51462*v + 714420 = 0.
-27, 490
Solve 8*f**3/7 + 3820*f**2/7 - 1916*f/7 - 1912/7 = 0 for f.
-478, -1/2, 1
Factor -u**2/2 - 225273*u - 50747924529/2.
-(u + 225273)**2/2
Factor 4*i**2/5 - 2884*i/5 - 526688/5.
4*(i - 872)*(i + 151)/5
Let 243*s**4 + 11178*s**3 - 136092*s**2 - 552*s + 6720 = 0. What is s?
-56, -2/9, 2/9, 10
Solve 2*p**2/11 + 1894*p/11 - 5700/11 = 0.
-950, 3
Factor 4*r**2 - 5912*r - 11840.
4*(r - 1480)*(r + 2)
Let 158*g**2 + 8540*g/3 + 48 = 0. Calculate g.
-18, -4/237
Solve 28*d**5 + 2444*d**4 + 5428*d**3 - 1084*d**2 - 5456*d - 1360 = 0 for d.
-85, -2, -1, -2/7, 1
Let -2*f**4 - 180*f**3 - 160*f**2 + 1620*f + 1602 = 0. Calculate f.
-89, -3, -1, 3
Solve -b**4 + 54*b**3 + 6075*b**2 - 77868*b + 238140 = 0 for b.
-63, 6, 105
Factor 4*p**4 + 448*p**3 - 13124*p**2 + 78912*p.
4*p*(p - 16)*(p - 9)*(p + 137)
Factor -3*w**3 - 10002*w**2 - 19995*w - 9996.
-3*(w + 1)**2*(w + 3332)
Suppose -l**2/8 + 183*l/8 - 3835/4 = 0. Calculate l.
65, 118
Find r such that -r**5/3 + 74*r**4/3 - 301*r**3 + 3886*r**2/3 - 6416*r/3 + 1120 = 0.
1, 2, 4, 7, 60
Find b, given that 6*b**4 + 257*b**3 - 1753*b**2 + 2931*b - 441 = 0.
-49, 1/6, 3
Factor -5*g**3 - 500*g**2 + 2065*g - 1560.
-5*(g - 3)*(g - 1)*(g + 104)
Let -b**3/3 + 32138*b**2/3 + 96427*b/3 - 128564/3 = 0. What is b?
-4, 1, 32141
Determine y so that -20*y**4 - 985*y**3 - 10695*y**2 + 35360*y - 23660 = 0.
-26, 1, 7/4
Factor h**3/5 + 56*h**2/5 - 103*h - 23142/5.
(h - 21)*(h + 19)*(h + 58)/5
Determine a so that 52*a**2/15 + 10498*a/15 - 404/5 = 0.
-202, 3/26
Solve 2*w**5/3 + 70*w**4/3 + 652*w**3/3 + 1088*w**2/3 - 1792*w = 0 for w.
-21, -8, 0, 2
Suppose 2*a**3/3 - 42490*a**2/3 - 84998*a - 127506 = 0. What is a?
-3, 21251
Suppose 2*g**2/5 - 144*g/5 + 142/5 = 0. What is g?
1, 71
Let -2*a**2 - 584*a - 27144 = 0. What is a?
-234, -58
Factor 350*j**3 - 545*j**2 + 195*j.
5*j*(j - 1)*(70*j - 39)
Determine w, given that -3*w**3/5 - 5937*w**2/5 - 35541*w/5 - 53271/5 = 0.
-1973, -3
Determine g so that 2*g**2/23 + 16680*g/23 - 233912/23 = 0.
-8354, 14
Factor -2*b**3/11 - 2018*b**2/11 - 362240*b/11 + 78807576/11.
-2*(b - 123)*(b + 566)**2/11
Factor -x**3 - 22817*x**2 - 130188091*x - 390358947.
-(x + 3)*(x + 11407)**2
Determine b so that -4*b**3 - 1932*b**2 - 258780*b - 5977364 = 0.
-227, -29
Solve 36*o**4 + 964*o**3 + 1944*o**2 - 26976*o + 5888 = 0.
-23, -8, 2/9, 4
Factor 4*f**3 + 2532*f**2 - 215748*f + 4325724.
4*(f - 39)**2*(f + 711)
Solve -k**2 + 43364*k - 470109124 = 0.
21682
Let 5*a**3 + 415940*a**2 = 0. What is a?
-83188, 0
Find r such that -2*r**2/19 - 198042*r/19 - 198040/19 = 0.
-99020, -1
Factor -16148*t**2 + 32284*t + 24.
-4*(t - 2)*(4037*t + 3)
Factor -85*h**2/9 - 163*h/3 - 404/9.
-(h + 1)*(85*h + 404)/9
Factor -7*t**2/3 + 1377752*t/3 + 393644/3.
-(t - 196822)*(7*t + 2)/3
Factor -2*i**2 - 496*i + 16066.
-2*(i - 29)*(i + 277)
Factor -2*k**2/9 + 370864*k/3 - 17192513312.
-2*(k - 278148)**2/9
Factor 2*y**3/15 - 2986*y**2/15 + 1110032*y/15 + 1119008/5.
2*(y - 748)**2*(y + 3)/15
What is i in 6*i**2/11 + 2196*i - 24222 = 0?
-4037, 11
Let 250*w**4 + 66758*w**3 + 5942886*w**2 + 176432354*w + 5639752 = 0. Calculate w.
-89, -4/125
Let -3*x**2/4 + 132207*x/2 - 5826230283/4 = 0. What is x?
44069
Solve -2*r**3/5 - 644*r**2/5 + 18*r/5 + 5796/5 = 0 for r.
-322, -3, 3
Factor -d**3/7 + 5931*d**2/7 - 1300416*d + 129618944.
-(d - 2912)**2*(d -