01
Factor 2*o**2/3 - 218426*o - 655280/3.
2*(o - 327640)*(o + 1)/3
Solve 9*r**5 + 23304*r**4 - 132336*r**3 + 23454*r**2 + 256935*r + 77850 = 0 for r.
-2595, -1, -1/3, 2, 5
Factor a**2 - 67406*a + 1135892209.
(a - 33703)**2
Factor 4*q**3 - 23808*q**2 + 35090640*q + 1001291200.
4*(q - 2990)**2*(q + 28)
Find m, given that m**5/2 - 5*m**4/2 - 133*m**3/2 + 41*m**2/2 + 426*m - 378 = 0.
-9, -3, 1, 2, 14
Factor -2*c**3/5 - 256*c**2/5 - 1542*c + 25488/5.
-2*(c - 3)*(c + 59)*(c + 72)/5
What is l in 3*l**3/2 + 29844*l**2 - 3*l/2 - 29844 = 0?
-19896, -1, 1
Suppose 24*b**3 + 110420*b**2 = 0. Calculate b.
-27605/6, 0
Factor -b**3 + 619*b**2 - 1235*b + 617.
-(b - 617)*(b - 1)**2
Find z such that 2*z**5 - 96*z**4 + 442*z**3 - 516*z**2 = 0.
0, 2, 3, 43
Find s, given that -3*s**5 + 1353*s**4 + 79971*s**3 + 938091*s**2 - 4755072*s + 5096460 = 0.
-29, 2, 505
Find n, given that 7*n**5/5 - 302*n**4/5 - 2407*n**3/5 + 302*n**2/5 + 480*n = 0.
-48/7, -1, 0, 1, 50
Factor 2*j**2/5 + 177212*j/5 + 3925511618/5.
2*(j + 44303)**2/5
Find o such that 5*o**5 - 10*o**4 - 265*o**3 + 990*o**2 - 720*o = 0.
-8, 0, 1, 3, 6
Factor 3*k**4 - 7419*k**3 + 29628*k**2.
3*k**2*(k - 2469)*(k - 4)
Factor -r**3/2 - 71*r**2/2 - 1615*r/2 - 11913/2.
-(r + 19)**2*(r + 33)/2
Determine g so that 3*g**3/2 - 4395*g**2/2 + 2196*g = 0.
0, 1, 1464
Solve -2*l**3/5 + 351764*l**2/5 - 703522*l/5 + 70352 = 0 for l.
1, 175880
Suppose 2*p**3/5 - 98*p**2/15 - 926*p/3 + 518/5 = 0. Calculate p.
-21, 1/3, 37
Factor -5*j**2 - 3874920*j - 750750250320.
-5*(j + 387492)**2
Suppose 2*z**4/7 - 204614*z**3/7 + 996781968*z**2 - 11328094318464*z - 56665394795520 = 0. Calculate z.
-5, 34104
Solve -h**5 + h**4 + 18*h**3 + 14*h**2 - 17*h - 15 = 0 for h.
-3, -1, 1, 5
Factor -p**4/4 + 21*p**3/4 - 45*p**2/4 - 157*p/4 - 45/2.
-(p - 18)*(p - 5)*(p + 1)**2/4
Factor -251275*q**3/7 + 132687*q**2/7 - 17928*q/7 + 108/7.
-(23*q - 6)**2*(475*q - 3)/7
Suppose -2*d**4/17 - 622*d**3/17 + 199074*d**2/17 + 62116102*d/17 + 61916408/17 = 0. Calculate d.
-313, -1, 316
Factor 3*d**4 - 3210*d**3 + 848991*d**2 + 5180940*d + 7814988.
3*(d - 538)**2*(d + 3)**2
Solve 24*p**5 - 116*p**4 - 1268*p**3 - 304*p**2 + 5744*p + 960 = 0 for p.
-4, -3, -1/6, 2, 10
Factor -2*x**3 - 885870*x**2 - 98095264176*x + 98096150048.
-2*(x - 1)*(x + 221468)**2
Factor 67*p**4 - 1539*p**3 - 3329*p**2 - 1773*p - 50.
(p - 25)*(p + 1)**2*(67*p + 2)
Determine g, given that -5*g**4 + 2715*g**3 - 5410*g**2 = 0.
0, 2, 541
Determine p so that 3*p**2/4 - 110334*p + 4057863852 = 0.
73556
Factor -2*l**3/5 - 48*l**2/5 + 1034*l/5 + 1224.
-2*(l - 17)*(l + 5)*(l + 36)/5
What is a in -5*a**3/3 - 13510*a**2/3 - 9152965*a/3 - 36396020/3 = 0?
-1349, -4
Find z, given that 3*z**4 - 17466*z**3 + 26280063*z**2 - 2498511300*z + 61389907500 = 0.
50, 2861
Factor -4*g**3 + 2612*g**2 - 461760*g + 11291904.
-4*(g - 312)**2*(g - 29)
Let 4*r**2 + 14732*r + 14728 = 0. What is r?
-3682, -1
Let 2*o**2/15 - 80684*o/15 = 0. Calculate o.
0, 40342
Suppose -4*u**3 + 572*u**2 + 34368*u + 440064 = 0. What is u?
-24, 191
Solve -3*j**3 - 141*j**2/5 - 30*j + 144/5 = 0.
-8, -2, 3/5
Factor 20*f**2 - 6993208*f + 2797280.
4*(f - 349660)*(5*f - 2)
Find r such that r**5/4 - 325*r**4/2 - 1671*r**3 + 13690*r**2 + 112600*r - 264000 = 0.
-10, 2, 8, 660
Factor -5*v**2 - 22945*v + 137850.
-5*(v - 6)*(v + 4595)
Determine n so that -n**4/8 + 18*n**3 + 591*n**2/8 + 77*n/4 - 111 = 0.
-3, -2, 1, 148
Let -k**5 - 27*k**4 + 302*k**3 - 792*k**2 + 32*k + 1152 = 0. What is k?
-36, -1, 2, 4
Find n such that -12*n**4/5 + 129*n**3/5 + 1668*n**2/5 - 11649*n/5 + 17424/5 = 0.
-11, 11/4, 3, 16
Let 5*w**3 + 765*w**2 + 28360*w + 27600 = 0. Calculate w.
-92, -60, -1
Determine o, given that 3*o**5 + 75*o**4 + 606*o**3 + 1800*o**2 + 1728*o = 0.
-12, -8, -3, -2, 0
Solve 12*m**5 - 5804*m**4 + 44028*m**3 - 112564*m**2 + 108600*m - 34272 = 0.
2/3, 1, 3, 476
Factor 5*l**4 + 38895*l**3 - 38910*l**2 - 77800*l.
5*l*(l - 2)*(l + 1)*(l + 7780)
Solve -3*d**4 - 13380*d**3 - 14878494*d**2 + 89686212*d - 74794335 = 0.
-2233, 1, 5
Factor 5*z**3 + 14285*z**2 + 42820*z + 28540.
5*(z + 1)*(z + 2)*(z + 2854)
Factor -2*s**4 + 834*s**3 - 6544*s**2.
-2*s**2*(s - 409)*(s - 8)
Factor -3*j**2/4 + 1109091*j/4 + 554547/2.
-3*(j - 369698)*(j + 1)/4
What is t in t**2/3 + 11632*t = 0?
-34896, 0
Find c, given that -4*c**5 - 536*c**4 + 10944*c**3 = 0.
-152, 0, 18
Factor -4*z**2/5 + 96*z/5 + 1924/5.
-4*(z - 37)*(z + 13)/5
Factor 3*w**2/4 - 38205*w/4 + 38199/2.
3*(w - 12733)*(w - 2)/4
Let h**5/3 - 62*h**4/3 + 1021*h**3/3 - 620*h**2 + 300*h = 0. What is h?
0, 1, 30
Let n**4/3 + 625*n**3/3 + 32656*n**2 + 32448*n = 0. What is n?
-312, -1, 0
Suppose -f**2/4 - 377*f/4 + 379/2 = 0. Calculate f.
-379, 2
Let 25*w**5 - 7455*w**4 + 155274*w**3 - 575996*w**2 - 537240*w - 112608 = 0. What is w?
-2/5, 6, 17, 276
Let -3*r**3/7 - 933*r**2/7 + 954*r = 0. What is r?
-318, 0, 7
Factor 20*c**5 - 23028*c**4 + 6621696*c**3 + 3981312*c**2.
4*c**2*(c - 576)**2*(5*c + 3)
Determine c, given that 3*c**5 - 90*c**4 - 2097*c**3 + 65688*c**2 - 63504*c = 0.
-27, 0, 1, 28
Let n**2/3 - 9902*n/3 + 9899 = 0. What is n?
3, 9899
What is y in -3*y**5 - 339*y**4 - 2244*y**3 - 1908*y**2 = 0?
-106, -6, -1, 0
Factor -n**3/4 + 15161*n**2/2 - 57456399*n - 114943122.
-(n - 15162)**2*(n + 2)/4
Factor -5*p**4 - 12420*p**3 - 24820*p**2.
-5*p**2*(p + 2)*(p + 2482)
Factor -6*n**2 + 1177634*n/11 + 71372/11.
-2*(n - 17843)*(33*n + 2)/11
Determine y, given that -2*y**4/23 + 190*y**3/23 + 2964*y**2/23 + 9512*y/23 + 8720/23 = 0.
-10, -2, 109
What is h in -h**2/3 - 1773*h + 15984 = 0?
-5328, 9
Determine d, given that -4*d**2/3 - 25688*d/3 - 25684/3 = 0.
-6421, -1
Factor 574848576*m**2 - 95904*m + 4.
4*(11988*m - 1)**2
What is g in -2*g**5/3 + 76*g**4/3 + 336*g**3 - 768*g**2 = 0?
-12, 0, 2, 48
Solve 4*z**3/9 + 88*z**2/9 + 416*z/9 + 512/9 = 0 for z.
-16, -4, -2
Suppose -g**2 + 153*g - 4662 = 0. Calculate g.
42, 111
Suppose -2*z**4/19 + 322356*z**3/19 - 17318898456*z**2/19 + 310158379482352*z/19 = 0. What is z?
0, 53726
Factor p**3/6 - 112*p**2 - 44073*p/2 - 2886491/3.
(p - 838)*(p + 83)**2/6
Factor -4*v**3 + 13956*v**2 - 55776*v + 55760.
-4*(v - 3485)*(v - 2)**2
Factor u**2 - 12559*u.
u*(u - 12559)
Solve -4*o**4/7 - 1642*o**3/7 - 8950*o**2/7 - 16224*o/7 - 9720/7 = 0.
-405, -2, -3/2
Let 2*w**5/3 - 4*w**4 - 426*w**3 + 6488*w**2/3 - 2600*w = 0. What is w?
-25, 0, 2, 3, 26
Find g, given that 2*g**4/9 - 122*g**3/3 - 9312*g**2 + 15430760*g/9 = 0.
-205, 0, 194
Solve i**3 - 1036*i**2 + 263069*i + 2735290 = 0.
-10, 523
Suppose -3*s**2/2 + 333*s + 467160 = 0. What is s?
-458, 680
Suppose -2*u**5/3 + 34*u**4/3 + 348*u**3 + 3704*u**2/3 + 3536*u/3 = 0. What is u?
-13, -2, 0, 34
Factor -5*u**2 + 19470*u - 19465.
-5*(u - 3893)*(u - 1)
Find m, given that m**3 - 114*m**2 + 329*m + 444 = 0.
-1, 4, 111
Determine o so that -3*o**5 - 45*o**4 - 117*o**3 + 597*o**2 + 1296*o - 1728 = 0.
-8, -3, 1, 3
Factor j**3/2 + 52011*j**2/2 + 104019*j/2 + 52009/2.
(j + 1)**2*(j + 52009)/2
Suppose q**2 - 417*q - 2110 = 0. What is q?
-5, 422
Let -5*l**2 - 11070*l - 509245 = 0. Calculate l.
-2167, -47
Suppose -h**2/3 + 13675*h - 41024/3 = 0. Calculate h.
1, 41024
Find j, given that -j**4/11 - 5*j**3/11 + 127*j**2/11 + 269*j/11 - 390/11 = 0.
-13, -3, 1, 10
Factor z**2/4 - 281*z/2 + 15048.
(z - 418)*(z - 144)/4
Let 7*w**5 + 822089*w**4 + 234861*w**3 - 2466281*w**2 - 2348824*w - 469764 = 0. What is w?
-117441, -1, -2/7, 2
Factor t**2/10 + 7527*t + 283278645/2.
(t + 37635)**2/10
Let 2*z**3/13 + 184*z**2/13 + 882*z/13 + 1044/13 = 0. Calculate z.
-87, -3, -2
Determine g so that -4*g**3 - 1516*g**2 - 188940*g - 7713828 = 0.
-141, -97
Factor -q**3/4 - 29*q**2 - 3243*q/4.
-q*(q + 47)*(q + 69)/4
Suppose -g**4/9 + 24806*g**3 - 12460140613*g**2/9 - 5538137948*g - 49844134564/9 = 0. What is g?
-2, 111629
Let g**2/12 + 28*g/3 - 635/4 = 0. What is g?
-127, 15
Solve r**2 - 34575*r + 34574 = 0.
1, 34574
Factor 2*q**4/7 - 2*q**3 - 2*q**2/7 + 2*q.
2*q*(q - 7)*(q - 1)*(q + 1)/7
Factor n**4/7 + 93*n**3/7 + 1467*n**2/7 - 32701*n/7 + 101124/7.
(n - 9)*(n - 4)*(n + 53)**2/7
Find i such that -10527*i**2/8 - 2631*i + 3/2 = 0.
-2, 2/3509
Solve 228*r**2 + 2251*r/5 - 58/5 = 0 for r.
-2, 29/1140
Factor -3*q**2/5 - 1263*q/5.
-3*q*(q + 421)/5
Determine q so that -3*q**2 - 19461*q + 116874 = 0.
-6493, 6
Factor 