1
Determine f, given that -2*f**5/3 + 16094*f**4/3 - 10719598*f**3 - 879638078*f**2/3 - 847463188*f/3 = 0.
-26, -1, 0, 4037
Factor 3*m**3 - 15273*m**2 - 183600*m - 551124.
3*(m - 5103)*(m + 6)**2
Let 60*j**5/7 - 556*j**4/7 + 196*j**3 - 116*j**2/7 - 1432*j/7 + 96 = 0. What is j?
-1, 3/5, 1, 4, 14/3
Factor 4*l**2 + 176346*l - 88174.
2*(l + 44087)*(2*l - 1)
Factor -5*c**3 - 16360*c**2 - 65335*c + 81700.
-5*(c - 1)*(c + 5)*(c + 3268)
What is j in j**3/4 - 7*j**2/4 + 7*j/4 + 15/4 = 0?
-1, 3, 5
Solve -815*i**2/3 - 3820*i/3 + 425 = 0.
-5, 51/163
Factor 2*n**3 - 66*n**2 + 544*n.
2*n*(n - 17)*(n - 16)
Determine b so that -b**2 - 21398*b + 149835 = 0.
-21405, 7
Find t, given that 804609*t**2 - 60099*t + 4489/4 = 0.
67/1794
Factor c**2/3 - 2512*c/3 - 2513/3.
(c - 2513)*(c + 1)/3
Suppose 3*t**4/4 + 2889*t**3/4 + 349905*t**2/2 + 511200*t - 1728000 = 0. What is t?
-480, -5, 2
Determine d, given that 5*d**3 - 9925*d**2 - 39760*d - 39780 = 0.
-2, 1989
Factor 11*m**3/7 - 12*m**2 + 73*m/7.
m*(m - 1)*(11*m - 73)/7
Suppose -x**4/7 - 226*x**3/7 - 17748*x**2/7 - 539352*x/7 - 4286304/7 = 0. Calculate x.
-82, -66, -12
Factor -3*i**2/2 - 639*i/2 - 3900.
-3*(i + 13)*(i + 200)/2
Factor -a**2/2 - 291*a - 4528.
-(a + 16)*(a + 566)/2
Let 33*h**5 - 15*h**4 - 150*h**3 + 60*h**2 + 72*h = 0. What is h?
-2, -6/11, 0, 1, 2
Determine n so that 4*n**5 + 68*n**4 - 904*n**3 + 832*n**2 = 0.
-26, 0, 1, 8
Solve 2*r**2/5 - 132762*r/5 - 132764/5 = 0 for r.
-1, 66382
Factor q**2/8 + 8875*q/8 - 2219/2.
(q - 1)*(q + 8876)/8
Solve 2*z**3/7 - 276*z**2/7 + 1318*z/7 + 228 = 0.
-1, 6, 133
Solve -2*p**3/7 - 22*p**2/7 + 4840*p/7 = 0 for p.
-55, 0, 44
Determine i so that -4*i**2 - 170112*i - 1808630784 = 0.
-21264
Solve o**3/3 + 20653*o**2/3 + 41303*o/3 + 20651/3 = 0.
-20651, -1
Determine r so that 4*r**5 - 808*r**4 + 59008*r**3 - 1855616*r**2 + 22421504*r - 37879808 = 0.
2, 32, 68
Factor -2*k**4/15 + 7634*k**3/15.
-2*k**3*(k - 3817)/15
Factor 3*j**3 - 366*j**2 + 3993*j - 3630.
3*(j - 110)*(j - 11)*(j - 1)
Solve 2*c**2 - 63678*c - 63680 = 0 for c.
-1, 31840
Suppose 3*h**5/2 - 123*h**4/2 + 1917*h**3/2 - 13893*h**2/2 + 22506*h - 23958 = 0. What is h?
2, 6, 11
Let 4*m**2/7 - 368*m/7 - 752/7 = 0. What is m?
-2, 94
Find d, given that 3*d**3/2 + 378*d**2 - 4629*d/2 + 1935 = 0.
-258, 1, 5
Factor b**4/4 - 7*b**3/2 - 23*b**2 - 33*b/2 + 171/4.
(b - 19)*(b - 1)*(b + 3)**2/4
Suppose -4*f**3 - 232*f**2 + 2064*f - 3168 = 0. Calculate f.
-66, 2, 6
Factor -2*o**5 + 1456*o**4 + 8784*o**3 + 17600*o**2 + 11744*o.
-2*o*(o - 734)*(o + 2)**3
Solve -c**2/2 + 330676*c - 54673308488 = 0 for c.
330676
Let -2*o**3 + 19300*o**2 - 115738*o + 96440 = 0. Calculate o.
1, 5, 9644
Determine q so that -2*q**4/9 + 22*q**3/9 + 12410*q**2/3 + 74386*q/9 + 37180/9 = 0.
-130, -1, 143
Solve -3*l**3 + 1902*l**2 + 71388*l + 651240 = 0 for l.
-18, 670
Suppose -q**5/5 + 111*q**4/5 - 641*q**3/5 + 1161*q**2/5 - 126*q = 0. Calculate q.
0, 1, 2, 3, 105
Solve y**2/8 + 58375*y + 6815281250 = 0 for y.
-233500
Factor -50*a**3 - 220*a**2 + 128*a + 1024.
-2*(a - 2)*(5*a + 16)**2
Determine c, given that -5*c**4 + 135*c**3 + 1710*c**2 + 5060*c + 4440 = 0.
-6, -2, 37
Find z, given that -z**3/5 - 23*z**2 - 1842*z/5 - 1728/5 = 0.
-96, -18, -1
What is d in d**3/4 - 69*d**2/4 - 765*d/4 - 1975/4 = 0?
-5, 79
Factor 4*u**2 - 4876*u - 54120.
4*(u - 1230)*(u + 11)
Let -2*b**4/19 + 2718*b**3/19 + 8168*b**2/19 + 5448*b/19 = 0. What is b?
-2, -1, 0, 1362
Factor -5*l**3 - 605*l**2 - 10775*l + 11385.
-5*(l - 1)*(l + 23)*(l + 99)
Let -3*t**5 + 1140*t**4 - 27711*t**3 + 29742*t**2 + 1863744*t + 4910688 = 0. Calculate t.
-4, 17, 354
Solve 4*s**5/5 + 44*s**4/5 - 264*s**3/5 - 344*s**2/5 + 52*s + 60 = 0 for s.
-15, -1, 1, 5
Find m, given that -3*m**2 - 30432*m - 77175552 = 0.
-5072
Determine f so that 2*f**5/5 + 136*f**4 + 70026*f**3/5 + 1977956*f**2/5 + 3748544*f/5 + 1839936/5 = 0.
-148, -42, -1
Solve -3*r**5/2 + 390*r**4 - 11187*r**3/2 + 19905*r**2 - 14700*r = 0.
0, 1, 4, 10, 245
Suppose -159*x**3 - 2406*x**2 - 10311*x - 8820 = 0. What is x?
-7, -60/53
Let -k**2 + 26711*k + 80142 = 0. What is k?
-3, 26714
Factor -4*n**3 - 459484*n**2 + 3676064*n - 7352256.
-4*(n - 4)**2*(n + 114879)
Find q such that 96*q**4 - 112248*q**3 - 393309*q**2/2 - 172137*q/2 = 0.
-7/8, 0, 1171
Factor -147*f**3 - 951594*f**2 + 543804*f - 77688.
-3*(f + 6474)*(7*f - 2)**2
Factor t**2/7 + 43192*t/7 + 466387216/7.
(t + 21596)**2/7
Find m, given that 348*m**3 - 7652*m**2 - 8092*m - 92 = 0.
-1, -1/87, 23
Let -2*t**5/9 - 904*t**4/9 - 38632*t**3/9 - 524480*t**2/9 - 649600*t/3 = 0. What is t?
-406, -20, -6, 0
Factor -q**2 - 8051*q - 24144.
-(q + 3)*(q + 8048)
What is a in -5*a**4 - 100*a**3 - 135*a**2 + 1900*a - 2380 = 0?
-17, -7, 2
Suppose -76*w**3 - 31896*w**2 + 42076*w - 10104 = 0. What is w?
-421, 6/19, 1
Solve -5*s**4 - 950*s**3 - 43505*s**2 = 0.
-113, -77, 0
Solve -135*r**3 + 489635*r**2 + 526050*r + 36280 = 0.
-1, -2/27, 3628
Factor -g**3/6 + 289*g**2/6 - 4004*g + 72600.
-(g - 132)**2*(g - 25)/6
Factor o**2/7 + 1277*o/7 - 2558/7.
(o - 2)*(o + 1279)/7
What is d in d**2/2 + 1591*d/4 - 1595/2 = 0?
-1595/2, 2
Suppose -4*u**5 - 4*u**4 + 176*u**3 + 336*u**2 = 0. Calculate u.
-6, -2, 0, 7
Factor 2*o**4 - 2*o**3 - 288*o**2 + 288*o.
2*o*(o - 12)*(o - 1)*(o + 12)
Suppose 2*a**3 + 1010*a**2 - 8226*a - 9234 = 0. What is a?
-513, -1, 9
Solve -b**2/2 + 33*b/2 - 81 = 0 for b.
6, 27
Factor -11*j**4/4 + 122*j**3 + 521*j**2 + 532*j.
-j*(j + 2)**2*(11*j - 532)/4
Factor -q**2 - 115648*q - 231292.
-(q + 2)*(q + 115646)
Solve -3*q**5 + 21864*q**4 - 39901752*q**3 + 238864182*q**2 - 437608149*q + 238623858 = 0.
1, 2, 3, 3641
Determine t, given that 2*t**4/11 - 178*t**3/11 - 102*t**2 - 1702*t/11 - 760/11 = 0.
-4, -1, 95
Factor -4*m**2 - 5331*m - 19935.
-(m + 1329)*(4*m + 15)
Factor 4*r**2/7 + 604*r/7 - 26928/7.
4*(r - 36)*(r + 187)/7
Determine u so that -3*u**3 + 960*u**2 - 37017*u + 161460 = 0.
5, 39, 276
Solve -5*y**4/6 + 5*y**3/2 + 55*y**2/3 - 10*y - 60 = 0 for y.
-3, -2, 2, 6
Factor -16*d**2 + 5068*d + 1268.
-4*(d - 317)*(4*d + 1)
Determine k, given that k**2 + 1915*k + 198550 = 0.
-1805, -110
Factor -116244*t**2 - 25823*t + 2.
-(9*t + 2)*(12916*t - 1)
Factor -1875*t**3 - 12775*t**2/3 - 1936*t/3 - 76/3.
-(9*t + 19)*(25*t + 2)**2/3
Suppose 3*c**4/7 - 56199*c**3/7 - 56202*c**2/7 = 0. What is c?
-1, 0, 18734
Factor -1132*r**2 + 8976*r + 640.
-4*(r - 8)*(283*r + 20)
What is d in -108*d**5 - 1158*d**4/5 + 386*d**3/5 + 1162*d**2/5 + 154*d/5 - 4/5 = 0?
-2, -1, -1/6, 1/45, 1
Let 9*w**3 + 67651*w**2 - 150376*w + 30076 = 0. Calculate w.
-7519, 2/9, 2
Factor -5*v**3 + 445*v**2 - 8220*v - 66420.
-5*(v - 54)*(v - 41)*(v + 6)
Suppose 5*a**4 + 14825*a**3 + 1360415*a**2 + 31710195*a = 0. Calculate a.
-2871, -47, 0
Find x such that 2*x**5 - 6958*x**4 + 6956*x**3 = 0.
0, 1, 3478
Factor 3*v**2 - 5955*v + 17838.
3*(v - 1982)*(v - 3)
Factor -2*m**2/17 + 348*m/17 + 7760/17.
-2*(m - 194)*(m + 20)/17
Determine l, given that -3*l**3 + 51336*l**2 + 925077*l - 976410 = 0.
-19, 1, 17130
Let 26*p**2/7 + 820*p/7 - 384/7 = 0. What is p?
-32, 6/13
Factor 2*p**2/9 + 93238*p/9 - 186484/9.
2*(p - 2)*(p + 46621)/9
Find v, given that -7*v**4/3 + 37*v**3/3 + 223*v**2 + 443*v/3 - 182/3 = 0.
-7, -1, 2/7, 13
Suppose -3*q**2/5 - 5733*q/5 - 1146 = 0. What is q?
-1910, -1
Factor -r**2/3 - 3434*r/3 - 2288.
-(r + 2)*(r + 3432)/3
Find o such that -3*o**4 - 2691*o**3 + 2709*o**2 + 13479*o + 8082 = 0.
-898, -1, 3
Find g, given that -g**4/5 - 37*g**3/5 - 133*g**2/5 - 27*g/5 + 198/5 = 0.
-33, -3, -2, 1
Suppose -64*q**3 - 380*q**2 + 952*q - 508 = 0. What is q?
-127/16, 1
Factor 2*j**2/13 - 216140*j/13 - 864592/13.
2*(j - 108074)*(j + 4)/13
Determine x, given that 4*x**2 + 4356016*x + 1185929712016 = 0.
-544502
Solve -2*w**3 + 112966*w**2 - 225926*w + 112962 = 0.
1, 56481
What is m in 2*m**4/11 + 1054*m**3/11 - 5306*m**2/11 + 7442*m/11 - 3192/11 = 0?
-532, 1, 3
Factor -b**2/3 + 476743*b/3 + 476744/3.
-(b - 476744)*(b + 1)/3
Factor -3*j**4 - 87*j**3 - 666*j**2 - 420*j + 1176.
-3*(j - 1)*(j + 2)*(j + 14)**2
Suppose -s**2/2 + 53637*s - 107273/2 = 0. Calculate s.
1, 107273
Factor -z**3/6 - 14*z**2/3 + 1091*z/6 + 3813.
-(z - 31)*(z + 18)*(z + 41)/6
Determine b, given that -3*b**3 + 4305*b**2 - 1572021*b + 19715319 = 0.
13, 711
Suppose 72*f**4 + 10940*f**3 - 11768*f**2 - 2141