504 = 0. Calculate b.
3, 14/3, 6
Factor 674*j**2 - 73472*j + 654.
2*(j - 109)*(337*j - 3)
Let r**5/5 - 1162*r**4/5 + 3217*r**3 - 14924*r**2/5 = 0. Calculate r.
0, 1, 13, 1148
Find m such that 4*m**5 + 9916*m**4 + 6228924*m**3 + 103202116*m**2 + 96983104*m = 0.
-1231, -16, -1, 0
Determine r, given that -3*r**4 - 393*r**3 + 10728*r**2 - 66960*r = 0.
-155, 0, 12
Determine q, given that -2*q**2/7 + 706*q/7 - 1404/7 = 0.
2, 351
Suppose -n**5/6 + 652*n**4/3 + 2629*n**3/3 - 5658*n**2 - 26235*n/2 + 49050 = 0. Calculate n.
-5, 3, 1308
Suppose -2*w**4 + 818*w**3 - 80716*w**2 - 600704*w - 519168 = 0. Calculate w.
-6, -1, 208
Factor f**3/2 - 2995*f**2 + 8970025*f/2.
f*(f - 2995)**2/2
Suppose 2*n**4/21 - 4*n**3/3 - 62*n**2/21 + 1720*n/21 - 1600/7 = 0. What is n?
-8, 5, 12
Find y, given that 2*y**2 - 650*y - 21300 = 0.
-30, 355
Factor -2*o**3/5 - 8*o**2 - 198*o/5.
-2*o*(o + 9)*(o + 11)/5
Factor l**3/6 - 592*l**2/3 - 3573*l/2 - 3579.
(l - 1193)*(l + 3)*(l + 6)/6
Factor -r**3/4 - 337*r**2 - 673*r.
-r*(r + 2)*(r + 1346)/4
Factor -5*o**3 - 810*o**2 - 32805*o.
-5*o*(o + 81)**2
Determine k so that 2*k**4/7 - 4626*k**3/7 + 2695636*k**2/7 - 23786496*k/7 - 58392576/7 = 0.
-2, 11, 1152
Suppose -46*j**5/21 - 356*j**4/21 + 170*j**3/7 - 36*j**2/7 = 0. Calculate j.
-9, 0, 6/23, 1
Factor -y**3 + 11662*y**2 - 33907073*y - 545502736.
-(y - 5839)**2*(y + 16)
Suppose -2*y**2/9 - 15076*y/9 - 28410722/9 = 0. Calculate y.
-3769
Factor -u**2 + 93121*u + 93122.
-(u - 93122)*(u + 1)
Factor -2*d**2/3 + 372*d - 7714/3.
-2*(d - 551)*(d - 7)/3
Factor -10*k**3 - 1885*k**2 + 10645*k - 4850.
-5*(k - 5)*(k + 194)*(2*k - 1)
Factor -2*b**2/5 + 984*b/5 - 4670.
-2*(b - 467)*(b - 25)/5
Let -4*z**5 + 132*z**4 - 1076*z**3 - 388*z**2 + 3000*z + 2176 = 0. Calculate z.
-1, 2, 16, 17
Let g**2/6 + 1927*g/2 - 5783/3 = 0. What is g?
-5783, 2
Suppose -6*f**2/19 + 4628*f/19 + 7730/19 = 0. Calculate f.
-5/3, 773
Factor 5*g**3 - 2850*g**2 + 153000*g.
5*g*(g - 510)*(g - 60)
Solve -d**5 + 6*d**4 + 45*d**3 - 202*d**2 - 240*d = 0.
-6, -1, 0, 5, 8
Find c, given that -3*c**2 + 678*c - 38160 = 0.
106, 120
Let -2*m**2 + 680*m - 19158 = 0. Calculate m.
31, 309
Factor r**2/2 - 11227*r + 126045529/2.
(r - 11227)**2/2
Let 3*d**2 - 93417*d - 1308426 = 0. What is d?
-14, 31153
Let -2*q**2/7 + 186*q/7 - 3484/7 = 0. Calculate q.
26, 67
Suppose 2*d**5/11 - 40*d**4/11 - 54*d**3/11 + 1180*d**2/11 - 2048*d/11 + 960/11 = 0. What is d?
-6, 1, 4, 20
Let 5*y**4 - 1475*y**3 + 565265*y**2/4 - 9597825*y/2 + 211705245/4 = 0. Calculate y.
27, 241/2
Factor -3*p**2 - 8787*p - 725220.
-3*(p + 85)*(p + 2844)
Determine x so that x**5 + 12*x**4 - 88*x**3 - 1518*x**2 - 3753*x + 5346 = 0.
-9, -6, 1, 11
What is i in -3*i**5/7 + 1998*i**4/7 - 80064*i**3/7 + 900960*i**2/7 - 1497600*i/7 = 0?
0, 2, 20, 624
Factor 175*b**3 + 2090*b**2 - 120*b.
5*b*(b + 12)*(35*b - 2)
Factor 2*a**2/9 - 7724*a/3 - 301574/9.
2*(a - 11599)*(a + 13)/9
Suppose -3*z**4 + 76572*z**3 - 229689*z**2 = 0. What is z?
0, 3, 25521
Factor 100*j**5 + 552480*j**4 + 763306336*j**3 + 610379904*j**2 + 122058304*j.
4*j*(j + 2762)**2*(5*j + 2)**2
Factor -4*s**5/5 + 9584*s**4/5 - 7670328*s**3/5 + 2063158832*s**2/5 - 2025046292*s.
-4*s*(s - 797)**3*(s - 5)/5
Suppose 6*h**3 - 261*h**2 - 2274*h - 1071 = 0. Calculate h.
-7, -1/2, 51
Let 8100*v**4 + 106020*v**3 + 333376*v**2 + 29008*v + 640 = 0. Calculate v.
-8, -5, -2/45
Factor -2*u**2 + 568*u + 7104.
-2*(u - 296)*(u + 12)
Find v such that -5*v**2 - 249900*v - 3122500500 = 0.
-24990
Let -2*q**2/3 - 284*q + 77462/3 = 0. Calculate q.
-503, 77
Determine n, given that 2*n**5 - 556*n**4 + 31274*n**3 - 437672*n**2 - 2143928*n - 2278016 = 0.
-2, 37, 208
Factor -2*f**5 - 166*f**4 - 3444*f**3.
-2*f**3*(f + 41)*(f + 42)
What is q in 2*q**2 + 1046*q - 8496 = 0?
-531, 8
Determine j so that -2*j**3/13 - 224*j**2 - 565486*j/13 + 568400/13 = 0.
-1225, -232, 1
Solve -2*z**5 - 108*z**4 - 1102*z**3 - 4092*z**2 - 6120*z - 3024 = 0 for z.
-42, -6, -3, -2, -1
Factor d**3 - 37031*d**2 - 37034*d + 74064.
(d - 37032)*(d - 1)*(d + 2)
Factor -5*s**4 + 165*s**3 - 1575*s**2 + 3375*s.
-5*s*(s - 15)**2*(s - 3)
Factor -3*g**2 - 837*g - 11880.
-3*(g + 15)*(g + 264)
Determine s so that 3*s**4 + 7143*s**3 + 438288*s**2 + 431148*s = 0.
-2318, -62, -1, 0
Factor o**3/2 + 32*o**2 - 17006*o + 33880.
(o - 154)*(o - 2)*(o + 220)/2
Factor -j**2/4 - 15695*j - 62779/4.
-(j + 1)*(j + 62779)/4
Determine k, given that -55*k**4 + 44485*k**3 - 79855*k**2 - 681765*k - 121050 = 0.
-3, -2/11, 5, 807
Solve 5*t**3 + 80*t**2 - 1365*t + 3240 = 0 for t.
-27, 3, 8
Suppose 3*b**4/7 - 318*b**3/7 - 9*b**2/7 + 948*b/7 + 636/7 = 0. Calculate b.
-1, 2, 106
Let v**5 + 194*v**4 + 8633*v**3 + 8056*v**2 - 16884*v = 0. What is v?
-126, -67, -2, 0, 1
What is x in -x**5/3 + 1009*x**4/3 + 7097*x**3/3 + 5077*x**2 + 3048*x = 0?
-3, -1, 0, 1016
Solve k**3/9 + 820*k**2/9 + 10477*k/9 - 3766/3 = 0.
-807, -14, 1
Find b, given that -b**3/3 + 1708*b**2/3 - 3412*b/3 = 0.
0, 2, 1706
Find p such that 2*p**2 + 13532*p + 22889378 = 0.
-3383
Factor -k**4/7 + 6466*k**3/7 - 6459*k**2.
-k**2*(k - 6459)*(k - 7)/7
Let -3*r**5 - 6408*r**4 - 6399*r**3 + 12810*r**2 = 0. What is r?
-2135, -2, 0, 1
Find p, given that p**2/8 + 13997*p/2 + 55980 = 0.
-55980, -8
Suppose 7*p**4 - 3670*p**3 + 8335*p**2 + 8880*p - 3132 = 0. What is p?
-1, 2/7, 3, 522
Suppose 2*m**4/15 - 418*m**3 - 56576*m**2/15 - 16768*m/5 = 0. Calculate m.
-8, -1, 0, 3144
Factor 2*a**3 + 336611*a**2/2 + 3540905780*a + 2655584664.
(a + 42076)**2*(4*a + 3)/2
Let 2*s**2/5 - 6920*s + 29929000 = 0. Calculate s.
8650
Factor -4*b**2/7 + 2480*b/7 - 4944/7.
-4*(b - 618)*(b - 2)/7
Find z, given that 2*z**4/3 - 28*z**3/3 + 30*z**2 = 0.
0, 5, 9
Let -i**2 - 3383*i - 103912 = 0. What is i?
-3352, -31
Factor 7*j**2/3 + 13421*j/3 - 90428/3.
(j + 1924)*(7*j - 47)/3
Factor 2*v**2/7 - 64572*v/7 + 521192898/7.
2*(v - 16143)**2/7
Factor -50*t**2/3 + 3524*t/15 - 112/5.
-2*(t - 14)*(125*t - 12)/15
Factor -r**2/3 + 35041*r - 105122/3.
-(r - 105122)*(r - 1)/3
Factor 2*k**3/5 + 243224*k**2/15 + 2464832014*k/15 - 1643329444/15.
2*(k + 20269)**2*(3*k - 2)/15
Factor -x**4 + 3*x**3 + 141*x**2 - 143*x.
-x*(x - 13)*(x - 1)*(x + 11)
Factor -24*n**2 + 1436*n + 240.
-4*(n - 60)*(6*n + 1)
Factor 2*g**3/11 - 8748*g**2/11 + 9307200*g/11 + 569636096/11.
2*(g - 2216)**2*(g + 58)/11
Factor -5*r**2 + 126075*r - 126070.
-5*(r - 25214)*(r - 1)
Let -2*q**2/7 - 126404*q/7 - 1997246402/7 = 0. Calculate q.
-31601
Factor 2*m**3 + 72*m**2 + 198*m.
2*m*(m + 3)*(m + 33)
Solve 2*f**5/5 - 376*f**4/5 - 540*f**3 - 5832*f**2/5 - 702*f = 0.
-3, -1, 0, 195
Let -2*y**3/15 - 34572*y**2/5 - 69142*y/5 - 103712/15 = 0. What is y?
-51856, -1
Suppose -4*d**2 + 773632*d - 37406654464 = 0. Calculate d.
96704
Let o**5/2 - 355*o**4 + 82433*o**3 - 5874134*o**2 - 178134427*o/2 - 153972731 = 0. What is o?
-11, -2, 241
Factor 5*j**3 + 50325*j**2 + 126655440*j + 126605120.
5*(j + 1)*(j + 5032)**2
Let -24*v**5/7 + 1254*v**4/7 + 5364*v**3/7 - 2592*v**2 = 0. What is v?
-6, 0, 9/4, 56
Factor d**4/6 + 211*d**3/6.
d**3*(d + 211)/6
Solve -4*s**2/9 - 668*s/9 - 4480/9 = 0 for s.
-160, -7
Find r such that -2*r**3/11 - 18164*r**2/11 = 0.
-9082, 0
Let -5*p**5 - 1783*p**4 + 6119*p**3 - 377*p**2 - 6114*p + 2160 = 0. What is p?
-360, -1, 2/5, 1, 3
Factor 2*i**4/5 - 26*i**3/5 + 84*i**2/5 + 72*i/5 - 432/5.
2*(i - 6)**2*(i - 3)*(i + 2)/5
Factor 4*j**4 - 183552*j**3 + 2807611392*j**2 - 14315074617344*j.
4*j*(j - 15296)**3
Suppose 10*q**3/11 - 30376*q**2/11 - 12152*q/11 = 0. Calculate q.
-2/5, 0, 3038
Determine p, given that 5*p**2 + 1205*p + 49140 = 0.
-189, -52
Factor 121*s**3/2 - 37642*s**2 + 5779032*s + 23722272.
(s + 4)*(11*s - 3444)**2/2
Find z, given that z**4 + 15*z**3 - 832*z**2 + 1596*z = 0.
-38, 0, 2, 21
Determine r so that r**5 - 52*r**4 + 570*r**3 + 2260*r**2 - 571*r - 2208 = 0.
-3, -1, 1, 23, 32
Factor -2*c**3 + 1460*c**2 + 17736*c + 53424.
-2*(c - 742)*(c + 6)**2
What is j in 147*j**5/4 - 3045*j**4 + 333903*j**3/4 - 1552317*j**2/2 + 618636*j - 115320 = 0?
2/7, 4/7, 20, 31
Factor 295*t**2 - 47475*t - 3220.
5*(t - 161)*(59*t + 4)
Find z such that -3*z**2/7 - 25383*z/7 + 7254 = 0.
-8463, 2
Suppose w**3/3 - 136*w**2/3 - 12676*w/3 - 24800/3 = 0. Calculate w.
-62, -2, 200
Solve -u**3/7 + 744*u**2/7 + 10599*u/7 + 9854/7 = 0 for u.
-13, -1, 758
Factor -3*n**