)
Suppose 330*c**3 - 1509417*c**2 + 1726008048*c + 15691107 = 0. Calculate c.
-1/110, 2287
Factor b**2/3 + 8174*b/3.
b*(b + 8174)/3
Solve -4*l**2/7 + 975104*l/7 = 0 for l.
0, 243776
Suppose 2*g**5 - 54*g**4 - 694*g**3 + 1638*g**2 + 692*g - 1584 = 0. Calculate g.
-11, -1, 1, 2, 36
Let 4*t**4 + 500*t**3 + 1284*t**2 - 22660*t - 85400 = 0. Calculate t.
-122, -5, 7
Suppose 4*x**4/5 + 2068*x**3/5 + 232352*x**2/5 - 9309424*x/5 = 0. Calculate x.
-274, 0, 31
Factor -n**3 + 577*n**2 - 16439*n + 15863.
-(n - 547)*(n - 29)*(n - 1)
Factor -2*v**2/5 - 3404*v/5 - 3402/5.
-2*(v + 1)*(v + 1701)/5
Determine p, given that 2*p**5/7 + 6*p**4/7 - 1550*p**3/7 + 9850*p**2/7 + 1548*p/7 - 1408 = 0.
-32, -1, 1, 7, 22
Find r such that -5*r**5 - 335*r**4 - 5395*r**3 + 335*r**2 + 5400*r = 0.
-40, -27, -1, 0, 1
Solve -4*u**3 - 284*u**2 - 6240*u - 39600 = 0 for u.
-30, -11
Factor 2*j**2/9 + 43456*j/3 - 130370/9.
2*(j - 1)*(j + 65185)/9
Factor -4*m**3 - 3492*m**2 + 306516*m - 6421420.
-4*(m - 41)**2*(m + 955)
Suppose 2*v**2/5 - 22896*v/5 + 65528352/5 = 0. Calculate v.
5724
Let -4*o**5 + 990*o**4/13 + 86*o**3 - 2352*o**2/13 - 184*o/13 + 480/13 = 0. What is o?
-2, -6/13, 1/2, 1, 20
Factor -n**2/7 + 9811*n/7 + 19626/7.
-(n - 9813)*(n + 2)/7
Solve -2*f**5/17 + 660*f**4/17 - 654*f**3/17 - 1316*f**2/17 = 0 for f.
-1, 0, 2, 329
What is r in -r**2 - 19286*r - 92987449 = 0?
-9643
Factor -8*w**3 - 6650*w**2 + 52034*w + 13424.
-2*(w - 8)*(w + 839)*(4*w + 1)
Determine j, given that -2*j**4 - 18056*j**3 - 54156*j**2 - 54152*j - 18050 = 0.
-9025, -1
Solve -71*a**5/7 - 708*a**4/7 + 3357*a**3/7 + 3638*a**2 - 13248*a + 2592/7 = 0 for a.
-9, 2/71, 4
Factor -5*z**2 - 570*z - 15640.
-5*(z + 46)*(z + 68)
Solve -2*l**4/5 - 110*l**3 - 22212*l**2/5 - 263912*l/5 - 443344/5 = 0 for l.
-229, -22, -2
What is w in w**4 - 1801*w**3 + 827739*w**2 - 15083739*w = 0?
0, 19, 891
Solve 149*p**2 + 654*p + 232 = 0 for p.
-4, -58/149
What is m in -m**2/3 + 121*m - 722/3 = 0?
2, 361
Solve -2*r**3 + 582*r**2 + 102092*r - 102672 = 0 for r.
-124, 1, 414
Factor -2*o**3 - 118700*o**2 + 237406*o - 118704.
-2*(o - 1)**2*(o + 59352)
Factor -2*y**2/7 + 452*y/7 + 1840/7.
-2*(y - 230)*(y + 4)/7
Determine m so that m**2 - 777*m - 7074 = 0.
-9, 786
Factor -2*j**2 + 48382*j + 48384.
-2*(j - 24192)*(j + 1)
Let -14*y**5/11 - 864*y**4/11 - 2272*y**3/11 - 1772*y**2/11 - 114*y/11 + 236/11 = 0. Calculate y.
-59, -1, 2/7
Find l, given that 28*l**3 + 6796*l**2 + 44312*l - 13216 = 0.
-236, -7, 2/7
Factor -d**3 + 63*d**2 - 879*d - 943.
-(d - 41)*(d - 23)*(d + 1)
Factor -62*x**2/7 + 5070*x/7 - 5008/7.
-2*(x - 1)*(31*x - 2504)/7
What is w in 2*w**4 + 1654*w**3 + 346070*w**2 + 1695786*w + 1351368 = 0?
-411, -4, -1
Factor g**2/7 - 10869*g/7 + 65178/7.
(g - 10863)*(g - 6)/7
Solve 2*j**3/7 - 1098*j**2/7 + 69780*j/7 - 19312 = 0.
2, 71, 476
Solve -5*h**3 - 77160*h**2 - 77145*h + 154310 = 0 for h.
-15431, -2, 1
Determine q so that -4*q**4 - 193148*q**3 - 772528*q**2 = 0.
-48283, -4, 0
What is t in -2*t**5/13 + 132*t**4 - 11940*t**3/13 + 22120*t**2/13 + 5142*t/13 - 30636/13 = 0?
-1, 2, 3, 851
Factor -3*b**3 + 6351*b**2 - 3370773*b + 10055241.
-3*(b - 1057)**2*(b - 3)
Factor 1536*b**2/5 - 3076*b/5 + 8/5.
4*(b - 2)*(384*b - 1)/5
Factor 2*p**2/13 - 51916*p/13 + 467082/13.
2*(p - 25949)*(p - 9)/13
Let 350*d**5 + 1965*d**4 - 6105*d**3 + 4555*d**2 - 405*d - 360 = 0. Calculate d.
-8, -3/14, 3/5, 1
What is y in 12*y**5/7 - 187126*y**4/7 + 155928*y**3/7 + 31186*y**2/7 = 0?
-1/6, 0, 1, 15593
Solve -4*t**3 - 40312*t**2 + 120972*t = 0.
-10081, 0, 3
Determine y so that 3*y**5 + 369*y**4 - 36666*y**3 + 478698*y**2 + 7712055*y + 21788325 = 0.
-191, -5, 39
Find q such that 4*q**3 - 512*q**2 - 452*q + 121920 = 0.
-15, 16, 127
Suppose 4*w**5 - 8*w**4 - 172*w**3 - 256*w**2 + 624*w + 1152 = 0. Calculate w.
-3, -2, 2, 8
Factor -2*l**3/5 - 12*l**2/5 + 442*l - 14196/5.
-2*(l - 26)*(l - 7)*(l + 39)/5
Determine q so that 3*q**5/4 - 15*q**4 + 45*q**3 + 795*q**2/2 - 5223*q/4 + 1755/2 = 0.
-5, 1, 2, 9, 13
Factor -632043*i**3/7 - 3157461*i**2/7 + 13767*i/7 - 15/7.
-3*(i + 5)*(459*i - 1)**2/7
Factor 2*r**3/13 - 187572*r**2/13 - 375152*r/13.
2*r*(r - 93788)*(r + 2)/13
Factor l**3/3 - 135*l**2 - l/3 + 135.
(l - 405)*(l - 1)*(l + 1)/3
What is q in -q**3/4 - 1666*q**2 - 13325*q/4 - 3331/2 = 0?
-6662, -1
Factor c**3/4 + 258915*c**2/2 - 1035663*c/4 + 129458.
(c - 1)**2*(c + 517832)/4
Factor 4*u**3 + 660*u**2 + 29388*u + 174748.
4*(u + 7)*(u + 79)**2
Determine t so that 6*t**5 - 166*t**4 + 768*t**3 - 440*t**2 = 0.
0, 2/3, 5, 22
Find p, given that -5*p**2 + 14528700*p - 10554156184500 = 0.
1452870
Suppose 2*z**3/13 - 594*z**2/13 + 4080*z - 96200 = 0. Calculate z.
37, 130
Factor 2*g**2 - 1574068*g + 309711258578.
2*(g - 393517)**2
Factor 2*c**3/3 - 1538*c**2/3 + 18056*c.
2*c*(c - 732)*(c - 37)/3
Let -4*s**2/9 + 7876*s/3 + 7880 = 0. What is s?
-3, 5910
Factor -4*z**2/3 + 56572*z/3 - 113128/3.
-4*(z - 14141)*(z - 2)/3
Find y such that -11*y**3/2 - 93*y**2/4 - 30*y - 49/4 = 0.
-49/22, -1
Factor h**2 - 193*h + 2172.
(h - 181)*(h - 12)
Factor 4*j**2 + 53216*j + 176996416.
4*(j + 6652)**2
What is n in n**3 + 7121*n**2 + 21356*n + 14236 = 0?
-7118, -2, -1
What is f in -4*f**2 - 1220*f + 8736 = 0?
-312, 7
Suppose l**2 - 241*l + 240 = 0. Calculate l.
1, 240
Factor -5*l**2 + 5785*l + 11590.
-5*(l - 1159)*(l + 2)
Determine h, given that 4*h**4 - 136*h**3 + 132*h**2 = 0.
0, 1, 33
Factor 2*h**4 - 154*h**3 + 1892*h**2 - 8256*h + 12096.
2*(h - 63)*(h - 6)*(h - 4)**2
What is a in 15*a**5 - 966*a**4 + 11799*a**3 - 23676*a**2 + 7644*a = 0?
0, 2/5, 2, 13, 49
Factor -3*m**3 + 504*m**2 - 3780*m - 9600.
-3*(m - 160)*(m - 10)*(m + 2)
Factor -t**3 + 6832*t**2 - 47787*t + 81900.
-(t - 6825)*(t - 4)*(t - 3)
Let w**2/3 + 2527*w/3 + 5050/3 = 0. What is w?
-2525, -2
Factor 2*i**2 - 990*i - 992.
2*(i - 496)*(i + 1)
What is x in -4*x**3 - 776*x**2 - 48640*x - 970368 = 0?
-76, -42
Find r, given that 2672*r**4/7 - 12644*r**3/7 + 12464*r**2/7 + 4236*r/7 + 72/7 = 0.
-1/4, -3/167, 2, 3
Let -5*s**5 + 6340*s**4 + 44760*s**3 - 172270*s**2 + 184925*s - 63750 = 0. What is s?
-10, 1, 1275
Find a, given that -2*a**3/7 + 1930*a**2/7 + 7342*a + 136758/7 = 0.
-23, -3, 991
Suppose -6*o**2/5 - 64689*o/5 + 32346/5 = 0. What is o?
-10782, 1/2
What is n in -n**2 - 2303*n - 20646 = 0?
-2294, -9
Factor p**5/3 - 59*p**4/3 + 144*p**3 - 1256*p**2/3 + 1648*p/3 - 272.
(p - 51)*(p - 2)**4/3
Determine b, given that 2*b**4/5 + 12*b**3 - 1206*b**2/5 + 6256*b/5 - 2016 = 0.
-45, 4, 7
Let -3*b**3/5 + 69*b**2 + 16359*b/5 + 165699/5 = 0. Calculate b.
-19, 153
Solve -448*g**5/3 - 80224*g**4/9 + 206188*g**3/9 - 57184*g**2/3 + 52156*g/9 - 5224/9 = 0.
-1306/21, 1/4, 1
Factor n**3/3 - 2006*n**2/3 + 6011*n/3 - 4006/3.
(n - 2003)*(n - 2)*(n - 1)/3
Suppose 2*g**3 - 17238*g**2 - 138000*g - 276064 = 0. What is g?
-4, 8627
Let 2*q**5 - 48*q**4 + 376*q**3 - 832*q**2 - 1536*q + 4096 = 0. Calculate q.
-2, 2, 8
Find w, given that -3*w**3/8 + 135*w**2/8 + 1533*w/2 = 0.
-28, 0, 73
Factor -5*n**2 + 5820*n + 52785.
-5*(n - 1173)*(n + 9)
Solve -25*q**4/2 + 573*q**3/2 - 252*q**2 - 22*q = 0 for q.
-2/25, 0, 1, 22
Solve -2*g**3/13 + 4300*g**2/13 - 2492600*g/13 + 190962000/13 = 0.
90, 1030
Factor 850*g**3/3 + 20404*g**2/9 + 32*g/9.
2*g*(g + 8)*(1275*g + 2)/9
Let 2*x**3/11 - 30*x**2 - 5384*x/11 + 134568/11 = 0. Calculate x.
-27, 14, 178
Solve -3*o**5 + 35928*o**4 - 143460456*o**3 + 191136612810*o**2 - 570687214149*o - 1907069138130 = 0.
-2, 5, 3991
Suppose -3*j**4 - 1110*j**3 - 22284*j**2 - 103290*j + 126687 = 0. What is j?
-349, -11, 1
What is k in 3*k**3 - 69*k**2 + 126*k = 0?
0, 2, 21
Let 4*f**5/3 + 148*f**4/3 + 608*f**3 + 9104*f**2/3 + 16640*f/3 + 3072 = 0. What is f?
-18, -8, -2, -1
Suppose 4*k**4 + 3340*k**3 + 9804*k**2 - 149436*k + 269568 = 0. Calculate k.
-832, -9, 3
Determine j so that -j**4 - 93*j**3 + 538*j**2 + 4452*j - 24696 = 0.
-98, -7, 6
Factor l**2/3 - 59122*l + 2621558163.
(l - 88683)**2/3
Determine b so that 3*b**3 + 3*b**2 - 71616*b - 143220 = 0.
-154, -2, 155
What is y in 2*y**4/11 - 290*y**3/11 - 38174*y**2/11 - 835942*y/11 + 5169060/11 = 0?
-47, 5, 234
Factor 3*w**4 - 87*w**3 + 426*w**2 + 2844*w + 3240.
3*(w - 18)*(w - 15)*(w + 2)**2
Suppose -3*v**4/4 - 831*v**3 - 23091*v**2/4 + 16539*v/2 + 13212 = 0. What is v?
-1101, -8, -1, 2
Factor 2013*y**2 - 4