ine l, given that -5*l**5 + 605*l**4 - 18570*l**3 + 14400*l**2 + 108000*l = 0.
-2, 0, 3, 60
Factor -x**2 + 901*x - 42550.
-(x - 851)*(x - 50)
Factor p**3/4 + 17*p**2/4 + 4*p.
p*(p + 1)*(p + 16)/4
Suppose -3*q**3/5 - 426*q**2/5 - 2148*q - 3960 = 0. Calculate q.
-110, -30, -2
Solve 38*u**2 - 278*u/7 + 12/7 = 0 for u.
6/133, 1
Factor -j**2/2 - 6843*j/2 + 34265.
-(j - 10)*(j + 6853)/2
Solve 2*h**2 - 10784*h - 281736 = 0 for h.
-26, 5418
Solve -4*s**4/3 - 2456*s**3/3 - 4844*s**2/3 + 31784*s/3 - 8160 = 0 for s.
-612, -5, 1, 2
Factor -f**3/6 - 6547*f**2/3 - 14040179*f/2 + 813859368.
-(f - 112)*(f + 6603)**2/6
Factor -m**2/4 - 536*m - 104967.
-(m + 218)*(m + 1926)/4
Factor -21977344*x**2/7 - 18752*x/7 - 4/7.
-4*(2344*x + 1)**2/7
Factor 3*l**2/4 - 29295*l/2 - 58593/4.
3*(l - 19531)*(l + 1)/4
Suppose -3*u**3 + 9177*u**2 + 36747*u + 27567 = 0. Calculate u.
-3, -1, 3063
Solve 35*f**4 - 117185*f**3/3 - 976250*f**2/3 - 2158240*f/3 - 539680/3 = 0 for f.
-4, -2/7, 3373/3
Factor -5*y**2 - 3715*y - 3710.
-5*(y + 1)*(y + 742)
Solve -3*d**2 - 99054*d - 99051 = 0.
-33017, -1
Suppose u**5/5 + 21*u**4 + 1251*u**3/5 - 5221*u**2 + 22320*u - 26100 = 0. Calculate u.
-87, -30, 2, 5
Solve 2*t**4/3 - 466*t**3/15 - 9814*t**2/15 + 16594*t/15 - 2108/5 = 0 for t.
-17, 3/5, 1, 62
Let 5*m**2 - 17906*m + 3581 = 0. Calculate m.
1/5, 3581
Determine i so that -5*i**4/2 + 745*i**3 - 97495*i**2/2 - 100495*i = 0.
-2, 0, 101, 199
Solve 2*k**3/7 + 114*k**2/7 + 1662*k/7 + 1550/7 = 0.
-31, -25, -1
Factor -2*t**3/5 - 1024*t**2 - 10232*t/5.
-2*t*(t + 2)*(t + 2558)/5
Factor -2*a**3/17 - 164*a**2/17 + 2802*a/17 - 10476/17.
-2*(a - 9)*(a - 6)*(a + 97)/17
Factor -2*v**2/9 + 8284*v/9 + 2762/3.
-2*(v - 4143)*(v + 1)/9
Let 2*w**2/5 - 270328*w/5 + 9134653448/5 = 0. What is w?
67582
Find b such that 78*b**5/7 + 628*b**4/7 + 734*b**3/7 - 1368*b**2/7 - 72*b/7 = 0.
-6, -3, -2/39, 0, 1
Determine g, given that -5*g**5/2 + 1650*g**4 + 20080*g**3 + 53760*g**2 = 0.
-8, -4, 0, 672
Factor -u**4 - 325*u**3 + 1312*u**2 - 1316*u.
-u*(u - 2)**2*(u + 329)
Solve 4*o**4 - 7356*o**3 - 48*o**2 + 88208*o + 117696 = 0 for o.
-2, 4, 1839
Solve 3*n**5/5 + 57*n**4/5 - 87*n**3/5 - 513*n**2/5 + 108*n = 0.
-20, -3, 0, 1, 3
Factor -z**2/5 - 1213*z/5 - 1208.
-(z + 5)*(z + 1208)/5
Suppose -246*r**3/5 - 1953*r**2/5 + 24*r = 0. Calculate r.
-8, 0, 5/82
Solve 2*g**2/9 - 994*g/3 + 439900/9 = 0 for g.
166, 1325
Let -2*k**2/3 + 2726*k/3 = 0. What is k?
0, 1363
Factor -v**2 + 931*v + 411366.
-(v - 1258)*(v + 327)
Factor 3*l**2 - 663*l + 15210.
3*(l - 195)*(l - 26)
Find d, given that -2*d**2/5 - 453644*d - 128620549210 = 0.
-567055
Determine q so that 8*q**5/3 - 1900*q**4/3 + 70939*q**3/2 + 767993*q**2/3 + 363926*q/3 + 14884 = 0.
-6, -1/4, 122
Factor -333*j**2 - 339*j - 6.
-3*(j + 1)*(111*j + 2)
Factor -2*a**3/11 + 174*a**2/11 + 362*a/11 - 534/11.
-2*(a - 89)*(a - 1)*(a + 3)/11
Factor 4*y**4 + 356*y**3 + 8520*y**2 + 29936*y + 28576.
4*(y + 2)**2*(y + 38)*(y + 47)
Factor 3*v**3 - 342*v**2 + 672*v.
3*v*(v - 112)*(v - 2)
Let 2*u**4/5 + 72*u**3/5 - 886*u**2/5 + 324*u + 2576/5 = 0. Calculate u.
-46, -1, 4, 7
Factor -6*t**2/5 + 235284*t - 11533033470.
-6*(t - 98035)**2/5
Solve 173*n**3/3 - 37201*n**2/3 + 430*n = 0 for n.
0, 6/173, 215
Find i such that -i**4/3 - 147*i**3 + 399610*i**2/3 = 0.
-890, 0, 449
Factor -2*v**2/17 + 71246*v/17 - 284952/17.
-2*(v - 35619)*(v - 4)/17
Let -11*q**2/2 - 27169*q/2 - 53019 = 0. Calculate q.
-2466, -43/11
Suppose 52*q**5 - 32*q**4 - 196*q**3 + 32*q**2 + 144*q = 0. Calculate q.
-18/13, -1, 0, 1, 2
Suppose -5*p**3 + 2006*p**2 - 401*p = 0. Calculate p.
0, 1/5, 401
Solve 9*r**3/10 + 2512*r**2/5 + 20358*r/5 + 880 = 0 for r.
-550, -8, -2/9
Suppose 3*b**2/7 + 140160*b/7 + 140157/7 = 0. Calculate b.
-46719, -1
Factor w**3/4 - 155*w**2/4 + 2719*w/4 - 2565/4.
(w - 135)*(w - 19)*(w - 1)/4
Let -2*o**3 - 6952*o**2 - 27782*o - 20832 = 0. Calculate o.
-3472, -3, -1
Factor 2*s**2/5 + 113556*s + 8059353210.
2*(s + 141945)**2/5
Factor -3*m**3 - 12792*m**2 - 13610652*m + 54647472.
-3*(m - 4)*(m + 2134)**2
Solve 3*m**5 - 28488*m**4/5 + 91017*m**3/5 - 17004*m**2/5 - 113772*m/5 + 22752/5 = 0.
-1, 1/5, 2, 1896
Factor o**3 + 12*o**2 + 35*o + 24.
(o + 1)*(o + 3)*(o + 8)
Solve 12*f**4/11 + 7138*f**3/11 - 739392*f**2/11 + 1217222*f/11 - 484980/11 = 0 for f.
-685, 2/3, 1, 177/2
Solve -5*f**3 - 280*f**2 - 3840*f = 0.
-32, -24, 0
Solve -s**4/3 - 48*s**3 + 904*s**2/3 + 192*s - 1200 = 0 for s.
-150, -2, 2, 6
Let -2*z**4 + 9062*z**3 - 10187484*z**2 - 175980312*z + 186158736 = 0. What is z?
-18, 1, 2274
Factor -2*q**2/3 - 477040*q/3 - 28445895200/3.
-2*(q + 119260)**2/3
Solve 4*y**4 + 424*y**3 + 10320*y**2 - 192296*y - 7314644 = 0 for y.
-43, 23
What is l in -5286*l**2/7 - 15854*l/7 + 12/7 = 0?
-3, 2/2643
Solve -o**5/5 - 42*o**4/5 - 72*o**3 = 0 for o.
-30, -12, 0
Factor -v**2 + 385*v - 12250.
-(v - 350)*(v - 35)
Factor -j**2 + 1012*j + 1013.
-(j - 1013)*(j + 1)
What is m in -2*m**3/7 + 386*m**2/7 - 7904*m/7 + 2040 = 0?
2, 21, 170
Factor 2*f**3 + 521210*f**2 + 1042414*f + 521206.
2*(f + 1)**2*(f + 260603)
Find f such that -2*f**5 + 86*f**4 + 9324*f**3 - 28544*f**2 + 19136*f = 0.
-52, 0, 1, 2, 92
Factor -k**2/7 + 564772*k/7 - 79741852996/7.
-(k - 282386)**2/7
Factor -j**2 - 96284*j - 2317652164.
-(j + 48142)**2
Factor -3*y**2 + 21534*y - 43056.
-3*(y - 7176)*(y - 2)
Let u**3/8 - 1767*u**2/2 - 7069*u/8 = 0. What is u?
-1, 0, 7069
Factor r**3 + 52741*r**2 + 421880*r + 843728.
(r + 4)**2*(r + 52733)
Factor 4*s**4 + 4280*s**3 - 203228*s**2 + 2361456*s.
4*s*(s - 23)**2*(s + 1116)
Factor 4*a**4 - 58936*a**3 + 217208596*a**2 - 868127280*a + 867891600.
4*(a - 7365)**2*(a - 2)**2
Let 5*r**3 + 178765*r**2 + 1596504680*r - 23987809200 = 0. Calculate r.
-17884, 15
Let l**4/2 + 2719*l**3/2 + 10849*l**2/2 - 29859*l/2 + 8145 = 0. Calculate l.
-2715, -6, 1
Suppose -4*p**5 + 28*p**4 + 252*p**3 - 76*p**2 - 776*p - 480 = 0. What is p?
-5, -1, 2, 12
Find v, given that 9*v**3/7 - 344*v**2/7 - 5324*v/7 + 1200/7 = 0.
-12, 2/9, 50
Let -3*q**2 - 8199*q - 496806 = 0. What is q?
-2671, -62
Solve a**4/7 + 2*a**3/7 - 13928*a**2/7 + 27840*a/7 = 0.
-120, 0, 2, 116
Solve 3*v**4 - 378*v**3 - 1179*v**2 + 2298*v + 3096 = 0.
-4, -1, 2, 129
Find w, given that 4*w**5 + 3464*w**4 + 675712*w**3 - 32982024*w**2 - 33654276*w = 0.
-453, -1, 0, 41
Factor -4*a**2 + 632*a - 22048.
-4*(a - 106)*(a - 52)
Solve -22*q**4/19 + 158*q**3/19 + 1442*q**2/19 + 2778*q/19 + 1404/19 = 0.
-3, -2, -9/11, 13
Find m such that 3*m**4 - 108*m**3 + 810*m**2 + 1956*m + 1035 = 0.
-1, 15, 23
Factor 2*w**3 - 25532*w**2 + 81459840*w + 163021824.
2*(w - 6384)**2*(w + 2)
Let 13*k**5/2 + 197898*k**4 + 1506277786*k**3 - 231937627*k**2 - 3012555585*k/2 + 231739729 = 0. Calculate k.
-15223, -1, 2/13, 1
Find l, given that 2*l**3/7 - 536*l**2/7 + 8962*l/7 + 9500/7 = 0.
-1, 19, 250
Let -5*j**5 - 171265*j**4 - 856245*j**3 - 1541195*j**2 - 1198690*j - 342480 = 0. What is j?
-34248, -2, -1
Solve -2*k**5 - 38*k**4 - 238*k**3 - 562*k**2 - 360*k = 0 for k.
-9, -5, -4, -1, 0
Suppose 4*d**3 + 13864*d**2 + 11985380*d - 48163600 = 0. What is d?
-1735, 4
Factor -4*m**3 + 21164*m**2 + 21216*m - 254016.
-4*(m - 5292)*(m - 3)*(m + 4)
Determine c so that -c**5 + 13*c**4 + 766*c**3 + 3044*c**2 - 30408*c + 42336 = 0.
-14, 2, 3, 36
Find z such that -z**3/4 - 100*z**2 - 23721*z/4 + 24525/2 = 0.
-327, -75, 2
Find v, given that v**2/3 - 3861*v + 23154 = 0.
6, 11577
Factor z**5/3 + 101870*z**4/3 + 407468*z**3/3 + 407464*z**2/3.
z**2*(z + 2)**2*(z + 101866)/3
Factor o**4/4 - 135*o**3/4 + 1299*o**2 - 10199*o - 11532.
(o - 62)**2*(o - 12)*(o + 1)/4
Determine j so that 2*j**2/13 - 2062*j/13 + 14336/13 = 0.
7, 1024
Suppose -2*k**3/7 + 162*k**2/7 + 2852*k/7 + 384 = 0. Calculate k.
-14, -1, 96
Factor -6*r**3/7 - 239490*r**2/7 - 478962*r/7 - 239478/7.
-6*(r + 1)**2*(r + 39913)/7
Factor -3*z**4 - 924*z**3 - 71148*z**2.
-3*z**2*(z + 154)**2
Factor 2*b**2 - 3204*b/5 + 256.
2*(b - 320)*(5*b - 2)/5
Suppose -y**5/5 + 329*y**4/5 - 16567*y**3/5 - 1807129*y**2/5 - 11935972*y/5 - 3356252 = 0. What is y?
-46, -5, -2, 191
Factor 4*s**3 + 17236*s**2 - 17240*s.
4*s*(s - 1)*(s + 4310)
Let 3*x**5/8 + 99*x**4/8 + 345*x**3/8 - 99*x**2/8 - 87*x/2 = 0. What is x?
-29, -4, -1, 0, 1
Factor -3*n**2/8 + 1308*n - 239085/8.
-3*(n - 3465)*(n - 23)/8
Factor -11*r**2/9 - 124*r/