 2)**2/3
Determine x so that x**5 - 25048*x**4 + 150157*x**3 + 2379014*x**2 - 600644*x - 9115288 = 0.
-7, -2, 2, 13, 25042
Find j such that 2*j**5/3 - 2222*j**4/3 + 54634*j**3/3 - 363010*j**2/3 + 103532*j = 0.
0, 1, 11, 13, 1086
Factor s**4/6 + 355*s**3 + 138221*s**2/6.
s**2*(s + 67)*(s + 2063)/6
Solve 9018245*k**5 - 195426645*k**4 + 1020732255*k**3 + 471638645*k**2 - 631026000*k + 122512500 = 0 for k.
-1, 450/1343, 11
Let -417136*u**5/7 + 3281234*u**4/7 + 445080*u**3/7 + 14024*u**2/7 - 64*u/7 = 0. What is u?
-2/29, 0, 1/248, 8
Suppose 49*x**2/4 + 18455*x/4 + 18357/2 = 0. Calculate x.
-18357/49, -2
Factor n**2/2 + 42504*n - 170024.
(n - 4)*(n + 85012)/2
Solve -v**2/3 + 17491*v/3 + 81690 = 0.
-14, 17505
Let 2*z**5/3 + 518*z**4/3 + 4722*z**3 + 98602*z**2/3 + 240832*z/3 + 64120 = 0. What is z?
-229, -21, -5, -2
Factor a**2 - 20912784*a - 20912785.
(a - 20912785)*(a + 1)
Solve 2*d**5/9 - 1354*d**4/9 + 294524*d**3/9 - 21003784*d**2/9 + 222547184*d/9 + 243846848/9 = 0.
-1, 14, 116, 274
Factor 3*t**4/7 - 15363507*t**3/7.
3*t**3*(t - 5121169)/7
Find q such that 2*q**4/15 - 877676*q**3/15 + 32096757598*q**2/5 - 192577912568*q/15 + 96288517448/15 = 0.
1, 219418
Find h such that 6940*h**3 - 2456745*h**2 - 4946590*h - 10680 = 0.
-2, -3/1388, 356
Factor 36*r**2 + 1822492*r - 405000.
4*(r + 50625)*(9*r - 2)
Let -5*z**3 - 49655*z**2 - 164373560*z - 181374798540 = 0. Calculate z.
-3327, -3302
Find p such that -4*p**5/3 + 29480*p**4/3 - 17936444*p**3 - 628540368*p**2 + 13430707920*p = 0.
-49, 0, 15, 3702
Find o such that o**5/4 - 25857*o**4/4 - 77697*o**3/4 + 3024913*o**2/4 + 4570608*o + 3801420 = 0.
-7, -1, 12, 25860
Determine t so that -t**2 - 39407*t - 13476390 = 0.
-39062, -345
Factor 2*r**2/5 - 8475974*r/5 - 16951956/5.
2*(r - 4237989)*(r + 2)/5
Find c such that -559*c**5/8 + 12997*c**4 + 6895*c**3/8 - 336245*c**2/2 - 310719*c/2 + 558 = 0.
-3, -1, 2/559, 4, 186
Find f, given that -f**5/4 - 50615*f**4/2 - 3036225*f**3/4 - 5692500*f**2 = 0.
-101200, -15, 0
Factor w**3/3 - 4807*w**2/3 - 1163320*w/3 - 2307404/3.
(w - 5038)*(w + 2)*(w + 229)/3
Suppose -42*g**4 - 9460*g**3 + 12926*g**2 + 54064*g + 31720 = 0. Calculate g.
-1586/7, -1, 10/3
Let 190*r**2/11 + 6133799*r/11 - 223050 = 0. Calculate r.
-1226775/38, 2/5
Let s**5/5 - 128962*s**4/5 - 12002024*s**3/5 - 11744098*s**2/5 + 12002023*s/5 + 2374612 = 0. What is s?
-92, -1, 1, 129055
Solve -3*r**4 - 68769*r**3 - 394544361*r**2 - 5112790335*r + 26768273100 = 0 for r.
-11455, -17, 4
What is p in -p**2/4 - 213196*p + 3837609 = 0?
-852802, 18
Determine u so that -2*u**2/5 + 89291048*u/5 - 996611406617288/5 = 0.
22322762
Suppose 2*g**2/5 - 3654*g/5 - 1579736/5 = 0. What is g?
-361, 2188
Let 2*s**2 - 8664810*s = 0. Calculate s.
0, 4332405
Factor 16095*q**4 - 901325*q**3 + 280*q**2.
5*q**2*(q - 56)*(3219*q - 1)
Factor 2*z**3 + 164956*z**2 + 824682*z - 3958704.
2*(z - 3)*(z + 8)*(z + 82473)
Determine f, given that 2*f**4 - 22728*f**3 - 1255986*f**2 - 1187792*f + 2466504 = 0.
-54, -2, 1, 11419
Factor -192*r**2 - 398190000*r - 206452182421875.
-3*(8*r + 8295625)**2
Find v, given that -84*v**5 + 5788*v**4 + 82284*v**3 + 22148*v**2 - 1713240*v - 163296 = 0.
-9, -7, -2/21, 4, 81
Factor -r**3/3 + 269507*r**2/3 - 3772951*r/3 + 4401719.
-(r - 269493)*(r - 7)**2/3
Suppose -3*g**3 + 10008*g**2 - 377028*g + 3482688 = 0. What is g?
16, 22, 3298
Let -2*a**4 - 154*a**3 + 18734*a**2 + 38506*a - 57084 = 0. What is a?
-142, -3, 1, 67
Let -2*y**3 + 4948*y**2 - 1820698*y - 1825648 = 0. What is y?
-1, 451, 2024
Solve -2*j**5/11 - 6700*j**4/11 - 106826*j**3/11 - 41824*j**2 + 94136*j/11 + 2613856/11 = 0.
-3334, -7, -4, 2
Factor -114*v**3 - 1408138*v**2 - 4348422784*v - 381429760.
-2*(v + 6176)**2*(57*v + 5)
Factor 2*j**2 + 19060108*j - 76240464.
2*(j - 4)*(j + 9530058)
Let 2*o**5/5 - 4784*o**4/5 + 3364346*o**3/5 - 600627348*o**2/5 + 5960844864*o + 40236168960 = 0. Calculate o.
-6, 120, 1079
Determine n, given that 2*n**2 - 812842*n - 18696424 = 0.
-23, 406444
Factor 3*b**3 + 207699*b**2.
3*b**2*(b + 69233)
Suppose c**4/3 - 189435568*c**3/3 = 0. Calculate c.
0, 189435568
Let -v**2/4 - 5899*v/4 - 86140 = 0. What is v?
-5840, -59
Suppose -3*d**2/2 - 575896746*d - 55276177008898086 = 0. What is d?
-191965582
Determine w, given that 18047040*w**2 - 14437627*w/2 - 1 = 0.
-1/7218816, 2/5
Factor 2*d**4 - 1779400*d**3 + 527710133532*d**2 - 52166785249119592*d - 52167312961032526.
2*(d - 296567)**3*(d + 1)
Find j, given that -248450*j**2 - 163231648*j/9 + 146/9 = 0.
-73, 1/1118025
Solve -10*v**4 + 1366*v**3 + 273208*v**2 - 1002856*v - 444768 = 0 for v.
-113, -2/5, 4, 246
Factor 3*t**2 - 19252674*t + 30888788012523.
3*(t - 3208779)**2
Find u, given that 2*u**3 + 8934*u**2 - 6434940*u - 6443872 = 0.
-5098, -1, 632
Let 2*n**4 + 360850*n**3 - 216*n**2 - 38970936*n + 155887200 = 0. Calculate n.
-180425, -12, 6
Factor 2*s**2 - 595646*s - 5956660.
2*(s - 297833)*(s + 10)
Determine j so that 2*j**2 - 10663544*j - 10663546 = 0.
-1, 5331773
Factor 4*b**3 + 247400*b**2 + 1484256*b.
4*b*(b + 6)*(b + 61844)
Suppose -2*j**2 + 723106*j + 12293380 = 0. Calculate j.
-17, 361570
Suppose -2*i**4/11 - 218*i**3 + 310814*i**2/11 + 218*i - 310812/11 = 0. What is i?
-1317, -1, 1, 118
Factor 2*y**2/3 - 20972*y/3 + 16757262.
2*(y - 6777)*(y - 3709)/3
Factor -x**2/4 - 2863*x/4 + 6462.
-(x - 9)*(x + 2872)/4
Find g such that -2*g**2 - 4472748*g + 4472750 = 0.
-2236375, 1
Solve 3*p**2/5 + 4051533*p/5 + 810306 = 0 for p.
-1350510, -1
Suppose j**4/3 - 15157*j**3 + 172247899*j**2 + 3622982131*j/3 - 13443615146 = 0. What is j?
-13, 6, 22739
Solve -3*i**2/5 - 47598*i + 952008/5 = 0 for i.
-79334, 4
Solve 3*u**4 - 45459*u**3 - 17088642*u**2 + 17406816*u + 102804480 = 0.
-368, -2, 3, 15520
Factor -a**3 + 3658*a**2 + 51363*a + 165240.
-(a - 3672)*(a + 5)*(a + 9)
Determine l, given that l**2/4 - 15640889*l/2 = 0.
0, 31281778
Suppose 5*i**3 - 59745*i**2 - 12582500*i + 12642240 = 0. What is i?
-208, 1, 12156
Factor 2*o**2/7 + 90808*o - 7628160/7.
2*(o - 12)*(o + 317840)/7
Factor 2*x**2/7 - 7396*x/7 + 927680/7.
2*(x - 3568)*(x - 130)/7
Solve 36994*i**2/7 - 75248*i/7 + 360 = 0 for i.
630/18497, 2
Solve -w**5/11 - 453*w**4/11 + 22554*w**3/11 + 71712*w**2/11 = 0.
-498, -3, 0, 48
Let -4886*z**5/9 + 63996824*z**4/9 + 17464*z**3/3 = 0. Calculate z.
-2/2443, 0, 13098
Factor n**3/4 - 545*n**2 + 461725*n/4 - 12894375/2.
(n - 1950)*(n - 115)**2/4
Factor -2*r**2/7 + 5731588*r/7 - 4106387625218/7.
-2*(r - 1432897)**2/7
Suppose 2*g**2 - 41335562*g = 0. What is g?
0, 20667781
Factor 5*t**4 - 6303970*t**3 + 1987027103765*t**2 - 15895914240840*t + 31791626755920.
5*(t - 630393)**2*(t - 4)**2
Let 2*i**2/13 - 35052*i/13 - 736974/13 = 0. Calculate i.
-21, 17547
Find l such that -l**5/4 + 44087*l**4/4 - 121407304*l**3 - 1579981677*l**2 - 1946926800*l + 23337720000 = 0.
-8, 3, 22050
Suppose -252*u**5 - 14518408*u**4 + 3918053*u**3 + 21259389*u**2 + 11061724*u + 1613164 = 0. Calculate u.
-57613, -1/2, -2/7, 14/9
Determine m so that 2*m**2 + 7107712*m + 6314946234368 = 0.
-1776928
Factor -c**2 + 377890394*c - 35700287469368809.
-(c - 188945197)**2
Determine j, given that -4*j**5 - 180*j**4 + 26316*j**3 - 99772*j**2 - 279192*j - 152928 = 0.
-108, -1, 6, 59
Factor f**3/10 - 209*f**2/5 + 1312*f - 12288/5.
(f - 384)*(f - 32)*(f - 2)/10
Factor -v**2 - 10033441*v - 20066878.
-(v + 2)*(v + 10033439)
Factor -4*s**2/3 + 224083793*s/3 - 56020948/3.
-(s - 56020948)*(4*s - 1)/3
Suppose 4*y**5/5 - 26616*y**4/5 - 101368*y**3 - 410976*y**2 - 2695724*y/5 - 1121064/5 = 0. Calculate y.
-14, -3, -1, 6673
Determine f, given that -5*f**2 - 255804610*f - 3271799924862605 = 0.
-25580461
Solve -3*z**2/2 + 3194370*z + 6388743/2 = 0 for z.
-1, 2129581
Determine s, given that -20*s**4 - 17035835*s**3 - 80919885*s**2 - 102214485*s - 38330415 = 0.
-851787, -3, -1, -3/4
Let -2*v**3/3 + 155804*v**2 - 779006*v + 1869608/3 = 0. Calculate v.
1, 4, 233701
Suppose 2*g**5/11 - 1854564*g**4/11 + 38945274*g**3/11 - 26300584*g**2 + 919844064*g/11 - 1068204672/11 = 0. What is g?
4, 9, 927261
Factor 2*l**2/13 + 1559602*l/13 + 1559600/13.
2*(l + 1)*(l + 779800)/13
Find t such that -t**3/2 - 51255478*t**2 - 1313562012504242*t = 0.
-51255478, 0
Determine z so that 3*z**2/8 - 2727159*z/4 + 2479132070427/8 = 0.
909053
Factor -3*u**2 + 5547813*u.
-3*u*(u - 