*(b - 17)
Solve 10*k**5 + 174*k**4 - 2502*k**3 + 2722*k**2 + 7980*k + 2592 = 0 for k.
-27, -1, -2/5, 3, 8
Determine c so that -2*c**4/5 + 32626*c**3/5 + 2*c**2/5 - 32626*c/5 = 0.
-1, 0, 1, 16313
Factor 2*d**2/19 - 4534*d/19 + 4532/19.
2*(d - 2266)*(d - 1)/19
Factor -275*x**2/3 - 100*x/3 + 28.
-(5*x - 2)*(55*x + 42)/3
Determine a, given that 2*a**2/5 + 404*a/5 + 9744/5 = 0.
-174, -28
Let s**2 + 169323*s + 338642 = 0. Calculate s.
-169321, -2
Determine u so that 4*u**4 + 1064*u**3 + 80112*u**2 + 1189656*u - 1270836 = 0.
-123, -21, 1
Let 52*o**3 + 29216*o**2 + 24676*o - 4488 = 0. What is o?
-561, -1, 2/13
Factor -2*c**4 + 2066*c**3 - 12348*c**2 + 24664*c - 16432.
-2*(c - 1027)*(c - 2)**3
Factor -4*f**3 + 4876*f**2 - 1899276*f + 230512644.
-4*(f - 489)**2*(f - 241)
Find n such that n**4/2 - 58*n**3 - 614*n**2 - 2000*n - 2016 = 0.
-4, -2, 126
Find c, given that -2883*c**4 + 103840483*c**3 - 21214490*c**2 - 4034012*c - 144072 = 0.
-2/31, 1/3, 36018
Factor 3*y**5/2 + 10749*y**4 + 38535159*y**3/2 + 38502918*y**2 + 19246086*y.
3*y*(y + 1)**2*(y + 3582)**2/2
Solve -2*g**3/3 - 2878*g**2/3 + 142568*g/3 - 273608/3 = 0.
-1487, 2, 46
Let 74*t**3/7 + 21596*t**2/7 + 224840*t - 255792/7 = 0. Calculate t.
-146, 6/37
Factor 2*q**2/7 - 3514*q + 24596/7.
2*(q - 12298)*(q - 1)/7
Find x such that -x**4/2 - 795*x**3/2 + 19707*x**2/2 + 41795*x/2 + 10647 = 0.
-819, -1, 26
Factor -27*s**2/4 + 20707*s/4 + 767/2.
-(s - 767)*(27*s + 2)/4
Let -2*u**3 - 44388*u**2 - 246286818*u = 0. What is u?
-11097, 0
Determine q so that -2*q**4 + 1130*q**3/3 + 76562*q**2/3 + 330094*q/3 - 118580/3 = 0.
-49, -5, 1/3, 242
Determine g so that -g**3 - 202*g**2 - 145*g + 11256 = 0.
-201, -8, 7
Suppose 8*n**4 - 68*n**3 + 124*n**2 + 80*n = 0. Calculate n.
-1/2, 0, 4, 5
Find r, given that -4*r**3 - 77208*r**2 - 372489984*r + 745288832 = 0.
-9652, 2
Find v, given that -6*v**2/11 + 372*v/11 + 425178/11 = 0.
-237, 299
Factor r**2/2 - 716*r + 184327/2.
(r - 1289)*(r - 143)/2
Suppose -3*u**4/7 + 255*u**3/7 - 4131*u**2/7 + 14289*u/7 + 47190/7 = 0. What is u?
-2, 11, 65
Determine s, given that 42*s**3 + 5841*s**2/2 + 50286*s + 14130 = 0.
-157/4, -30, -2/7
Determine z, given that z**3/2 - 153*z**2 + 5963*z/2 + 3135 = 0.
-1, 22, 285
Solve m**3/8 - 385*m**2/4 + 15019*m/8 - 7125/4 = 0.
1, 19, 750
Suppose 3*p**5/5 + 15198*p**4/5 + 19202592*p**3/5 - 115763232*p**2/5 + 486912*p/5 + 617404416/5 = 0. Calculate p.
-2536, -2, 4
Factor -2*m**3 - 23172*m**2 + 115902*m - 92728.
-2*(m - 4)*(m - 1)*(m + 11591)
Determine w, given that -5*w**2 + 695*w - 20640 = 0.
43, 96
What is s in -1054152*s**3/5 + 633072*s**2 - 8714*s/5 + 6/5 = 0?
1/726, 3
Factor 4*q**2 - 2648*q + 10528.
4*(q - 658)*(q - 4)
Factor 2*c**3/13 - 17868*c**2/13 - 286272*c/13 - 1145600/13.
2*(c - 8950)*(c + 8)**2/13
Factor -3*a**2 + 25701*a + 77130.
-3*(a - 8570)*(a + 3)
Factor 3*n**2 - 82311*n + 82308.
3*(n - 27436)*(n - 1)
Factor 2*s**4/3 - 4966*s**3.
2*s**3*(s - 7449)/3
Suppose -4*d**4 + 24*d**3 + 1492*d**2 + 6456*d - 19008 = 0. Calculate d.
-11, -9, 2, 24
Find n, given that -4*n**4/5 - 1148012*n**3/5 - 109827246672*n**2/5 - 700448891855168*n + 3502354287670528/5 = 0.
-95668, 1
Find d, given that 5*d**3 - 960*d**2 + 11295*d + 60860 = 0.
-4, 17, 179
Suppose -b**4 - 50*b**3 + 1536*b**2 - 10318*b + 8833 = 0. What is b?
-73, 1, 11
Factor 5*l**2 - 36205*l + 36200.
5*(l - 7240)*(l - 1)
Suppose 2*m**3/5 + 642*m**2/5 - 123552*m/5 + 964224 = 0. What is m?
-465, 72
Solve -2*g**2/7 - 1256*g + 79290/7 = 0 for g.
-4405, 9
Factor i**3/4 - 3417*i**2/2 + 6831*i - 6830.
(i - 6830)*(i - 2)**2/4
Factor -2*n**3 + 44*n**2 + 42*n - 1764.
-2*(n - 21)*(n - 7)*(n + 6)
Factor -2*w**2 + 51471*w + 25736.
-(w - 25736)*(2*w + 1)
What is k in -16*k**5 + 356004*k**4 + 267016*k**3 - 89004*k**2 = 0?
-1, 0, 1/4, 22251
Determine u so that -5*u**4 + 529440*u**3 - 3176520*u**2 + 6352960*u - 4235280 = 0.
2, 105882
Suppose 256*p**5/9 + 5312*p**4/9 + 2540*p**3/3 - 16748*p**2/9 + 3788*p/9 - 76/3 = 0. Calculate p.
-19, -3, 1/8, 1
Find a, given that -a**3/3 - 2116*a**2/3 - 144445*a/3 - 835450 = 0.
-2046, -35
Factor -n**2/11 - 14376*n/11 + 1307.
-(n - 1)*(n + 14377)/11
Find q, given that -q**2 - 14864*q - 55234624 = 0.
-7432
Suppose -4*l**2 - 38048*l = 0. Calculate l.
-9512, 0
Determine x, given that x**5 + 123*x**4 + 841*x**3 - 20415*x**2 + 76450*x - 57000 = 0.
-114, -20, 1, 5
Determine i so that 15*i**4 + 5709*i**3 + 606474*i**2 + 11637996*i - 4752600 = 0.
-178, -25, 2/5
Factor -d**3/2 - 187*d**2 - 18011*d/2 + 9193.
-(d - 1)*(d + 58)*(d + 317)/2
Determine q, given that 5*q**5/4 + 17272*q**4 + 79550226*q**3 + 122114898416*q**2 - 48858688508*q = 0.
-4606, 0, 2/5
Factor -3*m**2 + 6003*m - 6000.
-3*(m - 2000)*(m - 1)
Find a such that -a**4 - 4821*a**3 - 7832181*a**2 - 4421136671*a - 216653371326 = 0.
-1589, -54
Factor -73*j**2 - 18392*j + 1008.
-(j + 252)*(73*j - 4)
Solve 5*u**4 + 3685*u**3 + 821380*u**2 + 58039700*u + 57222000 = 0.
-396, -170, -1
Suppose -4*s**4 + 32*s**3 + 1036*s**2 - 13112*s + 34848 = 0. Calculate s.
-18, 4, 11
Factor 4*f**2 + 528*f + 16848.
4*(f + 54)*(f + 78)
Let -21*x**5/2 - 171*x**4 - 1671*x**3/2 - 939*x**2 + 1476*x + 480 = 0. What is x?
-8, -5, -4, -2/7, 1
Determine q so that -2668*q**3 - 7996*q**2 - 5312*q + 16 = 0.
-2, -1, 2/667
Factor -2*c**3 + 3058*c**2 - 1132960*c - 27700096.
-2*(c - 776)**2*(c + 23)
Find w such that 8*w**5 - 436*w**4 - 1132*w**3 - 456*w**2 = 0.
-2, -1/2, 0, 57
Solve -4*r**4 + 3312*r**3 + 16632*r**2 + 23312*r + 9996 = 0.
-3, -1, 833
Solve -8*d**4 + 1615836*d**3 - 81591032880*d**2 - 40795920400*d = 0.
-1/2, 0, 100990
Let l**2/2 - 783*l/2 - 1574 = 0. Calculate l.
-4, 787
Factor 27*k**2/5 - 3540408*k/5 + 786756/5.
3*(k - 131126)*(9*k - 2)/5
Find v, given that -25*v**5/4 - 8105*v**4/4 + 123921*v**3/4 - 510515*v**2/4 + 87752*v - 16611 = 0.
-339, 2/5, 7
Solve -4*h**5 - 2112*h**4 - 276660*h**3 + 561800*h**2 = 0.
-265, 0, 2
Factor -2*d**2 - 331350*d - 331348.
-2*(d + 1)*(d + 165674)
Determine w so that -2*w**2 - 89294*w - 89292 = 0.
-44646, -1
Solve -2*f**2/7 - 32736*f/7 + 32738/7 = 0 for f.
-16369, 1
Find b such that 2*b**2/11 + 606*b/11 - 5616/11 = 0.
-312, 9
Suppose -2*y**3/3 + 1702*y**2/3 = 0. What is y?
0, 851
Factor -r**4 - 23324*r**3/3 - 15548*r**2/3.
-r**2*(r + 7774)*(3*r + 2)/3
Factor 5*h**3 - 3880*h**2 + 53405*h - 49530.
5*(h - 762)*(h - 13)*(h - 1)
Let 2*g**5 + 1064*g**4 + 189024*g**3 + 11272068*g**2 + 9962622*g - 66542796 = 0. What is g?
-177, -3, 2
Determine d, given that -d**3 - 61*d**2 + 484*d + 544 = 0.
-68, -1, 8
Solve 2*h**4 + 39638*h**3 + 196376556*h**2 - 196495480*h - 392832400 = 0 for h.
-9910, -1, 2
Find k such that -5*k**3 - 90030*k**2 - 180040*k = 0.
-18004, -2, 0
Suppose 2*m**3/7 + 960*m**2/7 + 7582*m/7 + 14160/7 = 0. What is m?
-472, -5, -3
Determine o, given that o**3/9 + 208*o**2/9 + 412*o/9 = 0.
-206, -2, 0
Determine y so that 15170*y**3 - 4*y**2 = 0.
0, 2/7585
Factor -2*y**2 - 7052*y - 6216338.
-2*(y + 1763)**2
Determine k, given that 3*k**4/4 + 2535*k**3/4 - 25683*k**2/4 - 28215*k/4 = 0.
-855, -1, 0, 11
Factor -3*v**2/7 + 246*v/7 + 5049/7.
-3*(v - 99)*(v + 17)/7
Determine r so that -5*r**2 + 79435*r + 317820 = 0.
-4, 15891
Factor 4*y**2 + 1404*y + 108560.
4*(y + 115)*(y + 236)
Factor -12*g**3 - 77208*g**2 - 77199*g - 19299.
-3*(g + 6433)*(2*g + 1)**2
Factor t**3/5 + 932*t**2 - 263312*t/5 + 3697344/5.
(t - 28)**2*(t + 4716)/5
Suppose -m**3/4 + 11765*m**2/4 - 8652422*m + 8649481 = 0. Calculate m.
1, 5882
Find h, given that 3*h**2 + 39*h - 32634 = 0.
-111, 98
Factor -2*d**3 + 30884*d**2 - 119320280*d + 714810288.
-2*(d - 7718)**2*(d - 6)
Factor -2*j**3 - 354*j**2 - 5220*j + 35200.
-2*(j - 5)*(j + 22)*(j + 160)
Let 2*v**3/11 - 167890*v**2/11 + 3523633334*v/11 - 10569389046/11 = 0. Calculate v.
3, 41971
Determine v so that -28*v**4 - 102*v**3 + 558*v**2 = 0.
-93/14, 0, 3
Determine p, given that p**4/5 + 25*p**3 - 261*p**2/5 - 893*p/5 - 508/5 = 0.
-127, -1, 4
Factor 2*k**2/5 + 56*k + 6102/5.
2*(k + 27)*(k + 113)/5
Suppose -21*c**4 - 2010*c**3 - 30777*c**2 + 218748*c - 59940 = 0. Calculate c.
-74, -27, 2/7, 5
Factor 5*l**2 + 30120*l + 540540.
5*(l + 18)*(l + 6006)
Factor 4*r**2 + 1392*r - 8496.
4*(r - 6)*(r + 354)
Suppose 5*q**3 - 35*q**2 - 3605*q - 3565 = 0. Calculate q.
-23, -1, 31
Let p**2/4 + 391*p/4 + 3115 = 0. What is p?
-356, -