e n.
6, 7800
Factor -2*c**2 + 6362*c + 257680.
-2*(c - 3221)*(c + 40)
Determine a so that 3*a**5 + 876*a**4 + 87426*a**3 + 3297996*a**2 + 29937843*a = 0.
-117, -81, -13, 0
Determine o so that -o**4/5 + 3172*o**3/5 + 9526*o**2/5 - 3172*o/5 - 1905 = 0.
-3, -1, 1, 3175
Determine l, given that -27*l**5/5 - 2961*l**4/5 + 4011*l**3/5 + 1629*l**2/5 - 3984*l/5 + 1332/5 = 0.
-111, -1, 2/3, 1
Factor -15*f**2 + 541191*f - 216474.
-3*(f - 36079)*(5*f - 2)
Suppose 4*w**4 + 1184*w**3 + 1180*w**2 = 0. What is w?
-295, -1, 0
What is b in 2*b**4/7 + 596*b**3/7 + 15742*b**2/7 - 90164*b/7 + 16080 = 0?
-268, -35, 2, 3
Let -5*r**5 + 12950*r**4 - 8333165*r**3 - 67288200*r**2 - 134992080*r = 0. Calculate r.
-4, 0, 1299
What is y in -2*y**3 - 800*y**2 + 23818*y - 64200 = 0?
-428, 3, 25
Find p, given that 13*p**4 - 79*p**3/4 - 1151*p**2/4 - 717*p/2 - 72 = 0.
-3, -16/13, -1/4, 6
What is i in 2*i**4/9 + 4*i**3 - 30*i**2 + 424*i/9 - 64/3 = 0?
-24, 1, 4
Let -2*o**5/3 - 32*o**4 - 1262*o**3/3 - 1048*o**2 - 1976*o/3 = 0. What is o?
-26, -19, -2, -1, 0
Find b, given that -2*b**4 + 192818*b**3 - 1349644*b**2 + 1542400*b + 3084864 = 0.
-1, 4, 96402
Factor -1818*s**2/5 + 44*s/5.
-2*s*(909*s - 22)/5
Find r, given that -5*r**3 + 11120*r**2 - 22220*r = 0.
0, 2, 2222
Factor -12*c**2 + 33364*c + 22248.
-4*(c - 2781)*(3*c + 2)
Determine g, given that g**5/4 - 5119*g**4 - 10239*g**3 - g**2/2 + 40955*g/4 + 10239/2 = 0.
-1, 1, 20478
Factor y**2/7 - 223018*y/7.
y*(y - 223018)/7
Solve -5*y**4 + 445*y**3 - 9145*y**2 - 21505*y + 30210 = 0.
-3, 1, 38, 53
Factor -b**4 + 32994*b**3 - 32993*b**2.
-b**2*(b - 32993)*(b - 1)
Suppose -5*q**3 + 3625*q**2 - 132335*q + 1240035 = 0. Calculate q.
19, 687
Let 27*i**2/10 - 71929*i/5 + 5328/5 = 0. Calculate i.
2/27, 5328
Suppose 4*z**4 + 252*z**3 + 3572*z**2 - 2268*z - 32472 = 0. Calculate z.
-41, -22, -3, 3
Factor -3*c**2/2 + 1525449*c/2 - 762723.
-3*(c - 508482)*(c - 1)/2
Factor -2*b**2/9 - 35452*b/9 - 157105538/9.
-2*(b + 8863)**2/9
Let -5*k**4 + 3245*k**3/3 - 29635*k**2 - 61805*k/3 + 10120 = 0. Calculate k.
-1, 1/3, 33, 184
Suppose -2*n**4 - 27292*n**3/9 - 223504*n**2/9 - 482624*n/9 - 96512/9 = 0. What is n?
-1508, -4, -2/9
Determine d, given that d**4 + 28*d**3 + 244*d**2 + 672*d + 576 = 0.
-12, -2
Find q, given that -q**3/3 - 88*q**2/3 + 1985*q/3 - 1712 = 0.
-107, 3, 16
What is g in -2*g**3/7 + 4852*g**2/7 + 24322*g/7 - 29172/7 = 0?
-6, 1, 2431
What is v in -3*v**5/2 - 645*v**4/2 - 5649*v**3 - 11712*v**2 + 125328*v + 131712 = 0?
-196, -14, -8, -1, 4
Find j, given that 2*j**5/5 - 4*j**4 - 48*j**3 + 4*j**2 + 238*j/5 = 0.
-7, -1, 0, 1, 17
Determine r so that -2*r**3/5 + 20768*r**2 - 1347635496*r/5 - 5392203552/5 = 0.
-4, 25962
Find k such that -k**2/7 + 809*k/7 - 17314/7 = 0.
22, 787
Suppose -3*x**5 - 720*x**4 + 3663*x**3 - 2940*x**2 = 0. Calculate x.
-245, 0, 1, 4
Let c**3 + 605*c**2 + 18876*c = 0. What is c?
-572, -33, 0
Factor 3*x**3/5 - 16833*x**2/5 + 23738232*x/5 - 70459236.
3*(x - 2798)**2*(x - 15)/5
Factor 1916*b**2/5 - 2036*b/5 + 24.
4*(b - 1)*(479*b - 30)/5
Determine p so that -9*p**5 - 159*p**4 + 225*p**3 - 57*p**2 = 0.
-19, 0, 1/3, 1
Factor -3*t**2/5 + 864*t/5 - 1344.
-3*(t - 280)*(t - 8)/5
Suppose -a**3/4 - 315*a**2 - 14963*a/4 + 4056 = 0. Calculate a.
-1248, -13, 1
Factor -5*w**2 - 4545*w + 88160.
-5*(w - 19)*(w + 928)
Factor r**4/3 + 88*r**3/3 + 1748*r**2/3 - 8464*r/3.
r*(r - 4)*(r + 46)**2/3
Factor -102*s**2/7 - 70*s + 100/7.
-2*(s + 5)*(51*s - 10)/7
Factor -5*c**4 + 8275*c**3 + 793040*c**2 + 18483260*c.
-5*c*(c - 1747)*(c + 46)**2
Factor -4*y**3/5 - 83868*y**2/5 - 1005984*y/5 - 603504.
-4*(y + 6)**2*(y + 20955)/5
Factor -4*w**2 + 4512*w + 715716.
-4*(w - 1269)*(w + 141)
Suppose 2*i**3/11 + 90*i**2 + 7752*i/11 - 19480/11 = 0. What is i?
-487, -10, 2
Suppose 4*p**3 + 696*p**2 - 5140*p - 13032 = 0. What is p?
-181, -2, 9
Factor 4*j**2/5 - 84152*j + 2212987220.
4*(j - 52595)**2/5
Determine d so that -2*d**5 + 432*d**4 - 2122*d**3 + 2524*d**2 + 1704*d - 3376 = 0.
-1, 2, 211
Factor -t**4/4 + 135*t**3/4 - 451*t**2/2 + 192*t.
-t*(t - 128)*(t - 6)*(t - 1)/4
Let 2*o**4 + 68696*o**3 + 589686428*o**2 - 3539973576*o + 5310887922 = 0. What is o?
-17177, 3
Factor -5*c**3 + 2045*c**2 + 4105*c + 2055.
-5*(c - 411)*(c + 1)**2
Let 2*x**4/3 - 16182*x**3 + 48542*x**2 - 145622*x/3 + 16180 = 0. What is x?
1, 24270
What is i in -2*i**4 + 147500*i**3 - 2719236234*i**2 - 10878715000*i - 10879305032 = 0?
-2, 36877
Find k, given that -3*k**3 - 531*k**2 + 1408671*k - 299656137 = 0.
-859, 341
Factor s**4/3 - 29*s**3/3 - 504*s**2.
s**2*(s - 56)*(s + 27)/3
Factor -4*w**3 - 4592*w**2 + 46256*w - 74112.
-4*(w - 8)*(w - 2)*(w + 1158)
Factor 2*t**2/15 + 480538*t/15.
2*t*(t + 240269)/15
Find k, given that -4*k**3 + 1844*k**2 - 38860*k + 100092 = 0.
3, 19, 439
Let -9*i**4 - 11994*i**3 - 3999993*i**2 - 2657340*i + 1330668 = 0. Calculate i.
-666, -1, 1/3
What is u in 6*u**3 + 2397*u**2/2 + 20334*u - 10317/2 = 0?
-181, -19, 1/4
Factor 2*w**2/9 + 314*w/9 + 11564/9.
2*(w + 59)*(w + 98)/9
Factor -2*b**2/9 - 3100*b/9 + 24928/9.
-2*(b - 8)*(b + 1558)/9
Factor -5*u**2 + 244980*u - 3000760020.
-5*(u - 24498)**2
Determine t so that 2*t**3 + 19304*t**2 - 38614*t + 19308 = 0.
-9654, 1
Factor 35*g**2/6 - 445*g/2 + 5225/3.
5*(g - 11)*(7*g - 190)/6
Find b, given that 5*b**3 - 139515*b**2 + 972872880*b + 4867852900 = 0.
-5, 13954
Factor 2*g**2/11 + 25408*g/11 - 2310.
2*(g - 1)*(g + 12705)/11
What is m in -2*m**4/11 - 62*m**3 + 6964*m**2/11 - 19608*m/11 + 16848/11 = 0?
-351, 2, 6
What is n in -4*n**5 + 20*n**4 + 3036*n**3 + 21580*n**2 + 10600*n - 132000 = 0?
-20, -5, 2, 33
Factor -5*p**3/6 - 11405*p**2/6 - 1084900*p - 1083000.
-5*(p + 1)*(p + 1140)**2/6
Let 5*f**5 - 95*f**4 + 210*f**3 + 520*f**2 - 640*f = 0. What is f?
-2, 0, 1, 4, 16
Solve -6*y**3 + 73*y**2 + 470*y + 391 = 0 for y.
-23/6, -1, 17
What is l in -5*l**5 - 41560*l**4 + 415935*l**3 - 1372930*l**2 + 1664320*l - 665760 = 0?
-8322, 1, 4
What is g in 5*g**4 + 1965*g**3 + 24815*g**2 + 43755*g + 20900 = 0?
-380, -11, -1
Factor 92450*y**2 + 2580*y + 18.
2*(215*y + 3)**2
Factor -35*n**2 - 20605*n + 5890.
-5*(n + 589)*(7*n - 2)
Find d such that -3*d**4 - 780*d**3 + 9729*d**2 - 17106*d + 8160 = 0.
-272, 1, 10
Factor 45*l**2/4 + 1735*l/4 + 3975.
5*(l + 15)*(9*l + 212)/4
Find c such that 4*c**3 + 6065084*c**2 + 2299074712896*c - 2299080777984 = 0.
-758136, 1
Factor 2*r**4/3 - 52*r**3/3 - 778*r**2/3 - 444*r.
2*r*(r - 37)*(r + 2)*(r + 9)/3
Let 14*g**5 + 27814*g**4/3 + 117320*g**3/3 + 128960*g**2/3 - 5312*g/3 - 10528 = 0. Calculate g.
-658, -2, -2/3, 3/7
Solve 28*i**4/3 + 2*i**3/3 - 116*i**2/3 = 0.
-29/14, 0, 2
Determine o so that 2*o**5/11 - 228*o**4/11 - 11222*o**3/11 + 62808*o**2/11 + 73800*o/11 = 0.
-41, -1, 0, 6, 150
Let 3*q**4 + 51*q**3 - 4905*q**2 - 9951*q - 4998 = 0. Calculate q.
-49, -1, 34
Determine i so that -3*i**3 - 616*i**2 - 1415*i + 1218 = 0.
-203, -3, 2/3
Determine p so that 5*p**5 + 15*p**4 - 200*p**3 - 540*p**2 + 720*p = 0.
-6, -4, 0, 1, 6
Find z, given that 2*z**5/5 + 82*z**4/5 - 218*z**3 - 42714*z**2/5 + 80784*z + 312120 = 0.
-34, -3, 15
Suppose -w**4 + 136*w**3 + 315*w**2 - 5454*w + 9936 = 0. Calculate w.
-8, 3, 138
Factor -42*t**3 - 10725*t**2 + 6912*t.
-3*t*(t + 256)*(14*t - 9)
Factor -5*y**3 + 10180*y**2 + 1431455*y + 48705650.
-5*(y - 2170)*(y + 67)**2
Factor f**2/4 - 40610*f + 162439/4.
(f - 162439)*(f - 1)/4
Factor 2*k**2/7 - 488*k + 13632/7.
2*(k - 1704)*(k - 4)/7
Let -5*r**3 + 1570*r**2 + 22735*r + 73800 = 0. Calculate r.
-9, -5, 328
Factor -u**3/2 - 3*u**2/2 + 4621*u/2 + 4623/2.
-(u - 67)*(u + 1)*(u + 69)/2
Find c such that -3*c**5 + 39*c**3 + 36*c**2 = 0.
-3, -1, 0, 4
Determine b so that -15*b**4 + 1400*b**3 + 23835*b**2 - 8100*b = 0.
-15, 0, 1/3, 108
Let -3*q**5 + 141*q**4 - 1527*q**3 - 141*q**2 + 1530*q = 0. What is q?
-1, 0, 1, 17, 30
Factor 226*m**3/5 - 3876*m**2/5 - 1686*m - 4328/5.
2*(m + 1)**2*(113*m - 2164)/5
Determine o, given that 196*o**5 + 31640*o**4 + 44788*o**3 - 2000*o**2 - 12784*o + 2560 = 0.
-160, -1, 2/7
Determine l so that 1764*l**5 + 134232*l**4 + 392032*l**3 - 478664*l**2 - 48196*l - 1168 = 0.
-73, -4, -1/21, 1
Let -i**3/10 + 345*i**2/2 - 20482*i/5 + 23814 = 0. What is i?
10, 14, 1701
Determine b so that 2*b**2/3 + 12016*b/3 - 4006 = 0.
-6009, 1
Let a**3 + 42914*a**2 = 0. What is a?
-42914