 for s.
-27, 103
Suppose -x**3/2 - 879*x**2/2 - 8928*x + 69498 = 0. What is x?
-858, -27, 6
Factor -3*s**2/5 + 384*s/5 - 2340.
-3*(s - 78)*(s - 50)/5
Let -2*o**2/9 - 123234*o = 0. Calculate o.
-554553, 0
Suppose -5*t**2/4 + 109*t = 0. Calculate t.
0, 436/5
Factor 3*j**2 - 167619*j + 167616.
3*(j - 55872)*(j - 1)
Factor 4*w**3 + 4680*w**2 + 1444992*w + 43876864.
4*(w + 34)*(w + 568)**2
Determine f, given that 2*f**3/9 - 6124*f**2/9 + 5049920*f/9 - 60340672 = 0.
126, 1468
Factor d**3 - 930*d**2 - 20823*d - 115192.
(d - 952)*(d + 11)**2
Let z**3/8 - 8169*z**2/4 + 16335*z/8 + 16337/4 = 0. Calculate z.
-1, 2, 16337
Find t such that -2*t**4 + 1878*t**3 + 36204*t**2 + 191336*t + 252912 = 0.
-11, -6, -2, 958
Solve -753003*v**2/2 + 16533*v - 363/2 = 0.
11/501
Solve -o**4/3 + 6110*o**3/3 - 9326912*o**2/3 - 18678272*o/3 = 0 for o.
-2, 0, 3056
Find t, given that 2*t**4 + 1534*t**3/3 - 172*t**2 - 1024*t/3 = 0.
-256, -2/3, 0, 1
Factor -4*k**2 - 188808*k - 2228028804.
-4*(k + 23601)**2
What is h in -5*h**3/3 - 980*h**2/3 - 8365*h/3 + 9350/3 = 0?
-187, -10, 1
Suppose -2*c**2/13 + 281760*c/13 - 9923587200/13 = 0. Calculate c.
70440
Let -16*o**3 + 93684*o**2 + 539100*o + 656432 = 0. What is o?
-4, -7/4, 5861
Suppose j**5 - 19*j**4 - 1945*j**3 - 1925*j**2 = 0. What is j?
-35, -1, 0, 55
Factor 4*o**4/3 + 24116*o**3/3 + 96400*o**2/3.
4*o**2*(o + 4)*(o + 6025)/3
Factor z**2/5 + 1474*z/5 + 30513/5.
(z + 21)*(z + 1453)/5
Factor 5*z**2 - 31905*z - 31910.
5*(z - 6382)*(z + 1)
Factor -g**3/5 + 68*g**2 + 8289*g/5 + 4356.
-(g - 363)*(g + 3)*(g + 20)/5
Factor -2*j**2/13 - 179226*j/13.
-2*j*(j + 89613)/13
Let 10*c**5/7 - 218*c**4/7 - 824*c**3/7 + 1864*c**2/7 + 448*c - 3968/7 = 0. Calculate c.
-4, -2, 1, 2, 124/5
Let -10*i**3 + 8995*i**2 - 22435*i + 8970 = 0. Calculate i.
1/2, 2, 897
Find u such that -28*u**5 - 4406*u**4/7 + 2344*u**3/7 - 46*u**2/7 = 0.
-23, 0, 1/49, 1/2
Let a**3/2 - 40*a**2 + 1531*a/2 - 1950 = 0. Calculate a.
3, 25, 52
Factor -r**3 + 47366*r**2 - 560742364*r - 3366159576.
-(r - 23686)**2*(r + 6)
Factor -3*u**5 + 4854*u**4 + 9717*u**3 + 4860*u**2.
-3*u**2*(u - 1620)*(u + 1)**2
Factor g**5 - 12*g**4 + 56*g**3 - 126*g**2 + 135*g - 54.
(g - 3)**3*(g - 2)*(g - 1)
Let -14*n**4/13 + 52*n**3 - 70*n**2/13 - 2968*n + 99264/13 = 0. Calculate n.
-8, 3, 44/7, 47
Find x, given that 2*x**2 + 4374*x - 419336 = 0.
-2279, 92
Solve 2*n**2/11 - 340*n/11 + 2898/11 = 0 for n.
9, 161
Factor 2*x**5/13 - 164*x**4/13 - 4080*x**3/13.
2*x**3*(x - 102)*(x + 20)/13
Find c, given that 3*c**4/2 + 133*c**3 - 458*c**2 + 188*c + 368 = 0.
-92, -2/3, 2
Factor 8228*f**5 - 12331*f**4 + 4880*f**3 - 192*f**2.
f**2*(11*f - 8)**2*(68*f - 3)
Factor -5*h**2/6 + 2485*h/6 + 13970/3.
-5*(h - 508)*(h + 11)/6
Factor -2*h**3 - 48746*h**2 + 2*h + 48746.
-2*(h - 1)*(h + 1)*(h + 24373)
Find i such that -3*i**5/4 - 57*i**4 + 516*i**3 + 63825*i**2/2 + 248211*i/4 + 61425/2 = 0.
-78, -21, -1, 25
Find f such that -5*f**2 - 2740*f - 57860 = 0.
-526, -22
Factor -2*k**3 + 130970*k**2 + 261946*k + 130974.
-2*(k - 65487)*(k + 1)**2
What is d in 2*d**5/9 + 18200*d**4/9 + 36394*d**3/9 + 18196*d**2/9 = 0?
-9098, -1, 0
Solve 3*y**2 - 3204*y - 22575 = 0 for y.
-7, 1075
Find c such that -6*c**2/7 + 46324*c/7 + 2206 = 0.
-1/3, 7721
Find v, given that 75*v**5 + 411235*v**4 + 563535830*v**3 - 488761500*v**2 - 75185640*v = 0.
-2742, -2/15, 0, 1
Find r, given that -10*r**4 + 3504*r**3/5 + 6274*r**2 - 37632*r/5 + 2808/5 = 0.
-9, 2/25, 1, 78
Solve 3*i**2/5 - 931608*i/5 + 72324455472/5 = 0.
155268
Factor -9814*x**3/9 + 19604*x**2/9 - 9766*x/9 - 8/3.
-2*(x - 1)**2*(4907*x + 12)/9
Factor 4*s**4 - 76*s**3 + 180*s**2 + 2332*s - 4840.
4*(s - 11)**2*(s - 2)*(s + 5)
Let 76895*b**5/3 + 480805*b**4/3 - 1176110*b**3 + 1557380*b**2/3 - 235880*b/3 + 4000 = 0. Calculate b.
-75/7, 2/13, 4
What is y in -12*y**2/5 - 88323*y/5 - 198666/5 = 0?
-7358, -9/4
Suppose 2*y**4/21 - 1840*y**3/21 + 128000*y**2/7 + 6144000*y/7 = 0. Calculate y.
-40, 0, 480
Let -2*a**5/9 + 68*a**4/9 - 56*a**3 - 1220*a**2/9 - 646*a/9 = 0. What is a?
-1, 0, 17, 19
Factor w**2/7 + 55977*w/7 - 55978/7.
(w - 1)*(w + 55978)/7
Factor 26790*f**3 + 214322*f**2 + 428656*f + 32.
2*(f + 4)**2*(13395*f + 1)
Factor -2*o**3/5 + 1178*o**2/5 - 4686*o/5 + 702.
-2*(o - 585)*(o - 3)*(o - 1)/5
Determine c, given that 4*c**2 - 20324*c + 202840 = 0.
10, 5071
Suppose 18*j**4 + 2860*j**3 + 15998*j**2/3 - 840*j - 1256/3 = 0. What is j?
-157, -2, -2/9, 1/3
Determine r, given that -3*r**3/5 - 2325*r**2 = 0.
-3875, 0
Determine f so that 3*f**4 + 45810*f**3 - 137448*f**2 + 137454*f - 45819 = 0.
-15273, 1
Suppose -o**4 + 89*o**3 - 86*o**2 - 176*o = 0. Calculate o.
-1, 0, 2, 88
Factor 3*i**2 - 228*i - 468.
3*(i - 78)*(i + 2)
Suppose -5*y**4 - 80*y**3 - 460*y**2 - 1120*y - 960 = 0. What is y?
-6, -4, -2
Factor -2*x**3/5 + 39160*x**2 + 391606*x/5 + 195804/5.
-2*(x - 97902)*(x + 1)**2/5
Let -2*g**3/9 + 4022590*g**2/9 - 674217259072*g/3 - 224739533312 = 0. Calculate g.
-1, 1005648
Factor -2*q**3/11 - 7476*q**2/11 - 29880*q/11 - 29872/11.
-2*(q + 2)**2*(q + 3734)/11
Suppose 5*x**5 - 180*x**4 - 2500*x**3 - 4350*x**2 + 16895*x - 9870 = 0. What is x?
-7, -6, 1, 47
Solve 6*y**2 - 130954*y - 43652 = 0 for y.
-1/3, 21826
Let 2*f**3/7 + 52*f**2/7 - 240*f/7 = 0. What is f?
-30, 0, 4
Determine u so that 2*u**3/5 + 384*u**2 + 7654*u/5 + 5736/5 = 0.
-956, -3, -1
Let -3*p**2/4 + 27*p + 32832 = 0. What is p?
-192, 228
Factor 6*b**2 + 5113*b/2 + 213.
(b + 426)*(12*b + 1)/2
Determine f so that 4*f**5 - 132*f**4 - 1904*f**3 - 1488*f**2 + 3520*f = 0.
-10, -2, 0, 1, 44
Factor -2*f**4/3 + 15964*f**3 - 47888*f**2 + 143660*f/3 - 15962.
-2*(f - 23943)*(f - 1)**3/3
Let -2*j**2 - 1104*j + 27648 = 0. Calculate j.
-576, 24
Find h, given that 4*h**4 - 7426*h**3/7 + 8978*h**2/7 - 524*h/7 - 1056/7 = 0.
-2/7, 1/2, 1, 264
Find c such that 5*c**5 - 110*c**4 - 4575*c**3 - 12040*c**2 + 16720*c = 0.
-19, -4, 0, 1, 44
Factor -f**4/2 + 7397*f**3 + 489654*f**2 + 10783036*f + 79114640.
-(f - 14860)*(f + 22)**3/2
Suppose -2*k**2/3 + 580*k = 0. Calculate k.
0, 870
Factor -34*d**3/7 + 2988*d**2/7 + 352*d/7.
-2*d*(d - 88)*(17*d + 2)/7
Factor 5*z**3 + 554040*z**2 - 5540775*z + 13852250.
5*(z - 5)**2*(z + 110818)
What is q in 2*q**2/3 + 172*q/3 + 1102 = 0?
-57, -29
Determine g, given that -3*g**5 + 33*g**4 + 51*g**3 - 669*g**2 + 1248*g - 660 = 0.
-5, 1, 2, 11
Factor -22*w**3/3 - 2021*w**2/3 + 92*w.
-w*(w + 92)*(22*w - 3)/3
Factor -i**3 - 250*i**2/3 + 691*i/3 + 86.
-(i - 3)*(i + 86)*(3*i + 1)/3
Find m, given that -2*m**3 - 2814*m**2 - 44640*m + 783599400 = 0.
-930, 453
Determine s so that -s**2 + 32520*s + 32521 = 0.
-1, 32521
Solve 5*i**5 - 385*i**4 - 6625*i**3 + 23225*i**2 - 1480*i - 30940 = 0 for i.
-17, -1, 2, 91
Factor h**4/7 + 48*h**3/7 + 382*h**2/7 - 912*h/7 + 481/7.
(h - 1)**2*(h + 13)*(h + 37)/7
Let y**5/5 - 1439*y**4/5 - 20357*y**3/5 + 4359*y**2 = 0. Calculate y.
-15, 0, 1, 1453
Factor 2*n**2 + 2767*n/5 + 21496/5.
(n + 8)*(10*n + 2687)/5
Factor 2*u**2/9 + 16214*u/9.
2*u*(u + 8107)/9
Factor c**3 - 38*c**2 + 299*c + 338.
(c - 26)*(c - 13)*(c + 1)
Find x such that -3*x**4/8 - 5547*x**3/8 - 638937*x**2/2 + 1934877*x/2 + 1286214 = 0.
-926, -1, 4
Determine m, given that m**2 + 39*m - 14382 = 0.
-141, 102
Find q, given that -2*q**3 + 572*q**2 - 19408*q + 138880 = 0.
10, 28, 248
Factor -d**4/5 + 7*d**3/5 + 1466*d**2/5 - 2952*d/5.
-d*(d - 41)*(d - 2)*(d + 36)/5
Factor -k**3 - 1697*k**2 - 61420*k.
-k*(k + 37)*(k + 1660)
Let 5*y**3 + 2550*y**2 + 433485*y + 24562440 = 0. What is y?
-171, -168
Factor -4*o**2 - 93320*o + 746816.
-4*(o - 8)*(o + 23338)
Factor -2*q**3 + 3610*q**2 - 21606*q + 32382.
-2*(q - 1799)*(q - 3)**2
Let 5*a**4/4 + 315*a**3/4 + 3015*a**2/2 + 6565*a - 35490 = 0. What is a?
-26, -14, 3
Factor 4*z**2/5 - 4964*z + 346696/5.
4*(z - 6191)*(z - 14)/5
Factor -2*b**4/11 - 753776*b**3/11 - 94696627620*b**2/11 - 3965610674340224*b/11 - 3965515978466378/11.
-2*(b + 1)*(b + 125629)**3/11
Factor -5*s**2 - 3545*s + 3550.
-5*(s - 1)*(s + 710)
Factor -5*b**3 - 1050*b**2 - 11880*b.
-5*b*(b + 12)*(b + 198)
What is o in 3*o**5 + 150*o**4 - 10806*o**3 + 113544*o**2 + 260091*o + 135594 = 0?
-93, -1, 18, 27
Suppose -k**4/2 + 30*k**3 + 1867*k**2/2 + 1743*k = 0. What is k?
-21, -2, 0, 83
Factor 4*f**4 + 144*f**3 - 2408*f**2 + 7056*f + 9604.
4*(f - 7)**2*(f + 1)*(