79
Suppose 2*i**3 + 7422*i**2 + 6882048*i - 6889472 = 0. Calculate i.
-1856, 1
Find t such that -3*t**4/5 + 114*t**3/5 + 1068*t**2/5 - 5634*t/5 + 891 = 0.
-11, 1, 3, 45
Factor -i**2 + 157*i - 310.
-(i - 155)*(i - 2)
What is o in 400*o**5 - 7640*o**4 + 14305*o**3 - 305*o**2 - 2060*o + 340 = 0?
-2/5, 1/4, 2, 17
Suppose 95*g**3 - 28205*g**2 - 2970*g = 0. Calculate g.
-2/19, 0, 297
Let 18886*o**2 + 1246475*o/11 - 6/11 = 0. What is o?
-6, 1/207746
Solve -322*p**4 + 4512*p**3 + 5096*p**2 - 72192*p + 896 = 0.
-4, 2/161, 4, 14
Determine s, given that -4*s**4/5 - 1168*s**3/5 - 5756*s**2/5 - 4592*s/5 = 0.
-287, -4, -1, 0
Factor -4*z**4/5 - 62784*z**3/5 - 246678136*z**2/5 - 492414912*z - 1230252980.
-4*(z + 5)**2*(z + 7843)**2/5
Factor a**3/3 + 3980*a**2 + 23871*a + 35802.
(a + 3)**2*(a + 11934)/3
Factor n**3/3 + 31*n**2/3 - 284*n/3 - 1248.
(n - 13)*(n + 8)*(n + 36)/3
Find y, given that 3*y**2/2 - 643689*y + 138111842907/2 = 0.
214563
Solve 2*h**4/15 + 5746*h**3/15 + 276856*h**2 + 37025792*h/15 + 16404992/3 = 0 for h.
-1432, -5, -4
Determine s, given that -3*s**3 + 32394*s**2 - 87867204*s + 2262701688 = 0.
26, 5386
Suppose -o**2 - 49211*o - 49210 = 0. What is o?
-49210, -1
Find q such that -27*q**5 + 681*q**4 + 3792*q**3 + 2364*q**2 - 720*q = 0.
-4, -1, 0, 2/9, 30
Factor -q**2/4 + 5265*q/4.
-q*(q - 5265)/4
Solve 2*y**4/5 + 6608*y**3 + 198168*y**2/5 = 0 for y.
-16514, -6, 0
Factor 3*i**3 - 597*i**2 + 6912*i + 63612.
3*(i - 186)*(i - 19)*(i + 6)
Let -5*o**2 + 47680*o - 113669120 = 0. What is o?
4768
Determine w, given that 5*w**3 + 1040*w**2 - 29575*w + 197730 = 0.
-234, 13
Factor -2*b**3/3 + 164*b**2 - 970*b/3 - 488.
-2*(b - 244)*(b - 3)*(b + 1)/3
Suppose -2*b**5/11 - 156*b**4/11 + 42*b**3/11 + 3236*b**2/11 - 3120*b/11 = 0. Calculate b.
-78, -5, 0, 1, 4
Factor k**4/10 - 13*k**3/2 + 903*k**2/10 + 3321*k/10.
k*(k - 41)*(k - 27)*(k + 3)/10
Factor -6*z**2/7 + 223280*z/7 - 74426/7.
-2*(z - 37213)*(3*z - 1)/7
Factor 4*p**5 + 408*p**4 + 15312*p**3 + 248936*p**2 + 1463340*p.
4*p*(p + 15)*(p + 29)**3
Suppose 4*m**4 - 44*m**3 + 116*m**2 + 44*m - 120 = 0. What is m?
-1, 1, 5, 6
Factor y**2/5 + 37646*y/5 + 354305329/5.
(y + 18823)**2/5
Factor -720*i**2 - 288*i + 5.
-(12*i + 5)*(60*i - 1)
Factor -o**2/4 - 371*o + 3735.
-(o - 10)*(o + 1494)/4
Determine o, given that 20*o**5 - 1285*o**4 - 6500*o**3 - 3815*o**2 + 1380*o = 0.
-4, -1, 0, 1/4, 69
Factor r**5 - 22706*r**4 - 45415*r**3 - 22708*r**2.
r**2*(r - 22708)*(r + 1)**2
Solve 3*m**2/2 + 287757*m = 0.
-191838, 0
Factor h**3 + 2635*h**2 + 5263*h - 7899.
(h - 1)*(h + 3)*(h + 2633)
Solve 3*c**5/5 - 294*c**4/5 - 918*c**3/5 + 876*c**2/5 + 663*c + 1818/5 = 0 for c.
-3, -1, 2, 101
Factor -2*o**2/11 - 128272*o/11 - 2056713248/11.
-2*(o + 32068)**2/11
Factor -4*m**2 - 629616*m + 1259248.
-4*(m - 2)*(m + 157406)
Factor j**3/4 + 173*j**2/2 - 28567*j/4 + 7055.
(j - 68)*(j - 1)*(j + 415)/4
Suppose 60*l**3 - 934*l**2 + 484*l + 390 = 0. Calculate l.
-13/30, 1, 15
Find h, given that -3*h**4/2 - 925*h**3/4 - 2765*h**2/2 - 2000*h - 296 = 0.
-148, -4, -2, -1/6
Solve k**2/6 + 161*k/6 - 12691/3 = 0.
-259, 98
Let g**4/3 - 1523*g**3/3 - 1017*g**2 + 1523*g/3 + 3050/3 = 0. Calculate g.
-2, -1, 1, 1525
Factor 3*g**2/2 + 205389*g + 14061547107/2.
3*(g + 68463)**2/2
Factor 2*y**2/3 + 39862*y/3 - 13288.
2*(y - 1)*(y + 19932)/3
Factor -4*h**4 + 204*h**3 - 2636*h**2 + 2436*h.
-4*h*(h - 29)*(h - 21)*(h - 1)
Factor -3*z**2 + 10329*z + 20670.
-3*(z - 3445)*(z + 2)
Factor -j**3 + 337*j**2 - 33215*j + 1017839.
-(j - 191)*(j - 73)**2
Find c such that -2*c**3/13 - 74*c**2/13 - 692*c/13 - 1104/13 = 0.
-23, -12, -2
Let n**2 + 1051*n - 2106 = 0. What is n?
-1053, 2
Let -y**5 + y**4/3 + 41*y**3/3 - 29*y**2/3 - 22*y = 0. Calculate y.
-11/3, -1, 0, 2, 3
Factor 4*d**3 + 744*d**2 + 33596*d - 34344.
4*(d - 1)*(d + 81)*(d + 106)
Let 2*c**2 + 144420*c + 2607142050 = 0. What is c?
-36105
Determine l, given that -3*l**2 - 45*l + 4512 = 0.
-47, 32
Solve -c**3/6 - 287771*c**2/6 - 3450482204*c + 3450530166 = 0.
-143886, 1
Let 25*d**5 - 1060*d**4 - 8280*d**3 + 7730*d**2 + 90175*d - 36750 = 0. What is d?
-5, 2/5, 3, 49
Let -3*n**2 + 180069*n + 540234 = 0. Calculate n.
-3, 60026
Determine f so that 2*f**5 + 910*f**4/3 - 5948*f**3/3 + 2952*f**2 + 1232*f/3 - 5056/3 = 0.
-158, -2/3, 1, 2, 4
Factor -3*g**4/4 - 29187*g**3/4 - 36465*g**2.
-3*g**2*(g + 5)*(g + 9724)/4
Determine l so that 3*l**4 + 1284*l**3 + 42543*l**2 + 81246*l + 39984 = 0.
-392, -34, -1
Factor -m**2/8 - 1845*m/8 - 1843/4.
-(m + 2)*(m + 1843)/8
Find x, given that -5*x**3/4 + 1175*x**2/4 + 870625*x/4 + 89578125/4 = 0.
-175, 585
Factor -4*x**4 + 208*x**3 + 1868*x**2 + 3096*x + 1440.
-4*(x - 60)*(x + 1)**2*(x + 6)
Determine d so that 10*d**4 + 2475*d**3 - 43840*d**2 - 73740*d + 47520 = 0.
-264, -2, 1/2, 18
Suppose -2*i**2/9 - 382*i/9 - 4172/3 = 0. What is i?
-149, -42
Determine m so that 2116*m**4 - 15459128*m**3 + 28234080852*m**2 + 4910625616*m + 213510544 = 0.
-2/23, 3653
Determine b so that 3*b**5/5 - 51*b**4/5 + 138*b**3/5 + 222*b**2 - 1065*b + 825 = 0.
-5, 1, 5, 11
Factor -q**4/3 + 3308*q**3 - 8207148*q**2.
-q**2*(q - 4962)**2/3
Let 4*j**2 - 1836*j - 14944 = 0. What is j?
-8, 467
Let -5*d**5/3 - 23635*d**4/3 + 474430*d**3/3 - 1281430*d**2/3 + 1234135*d/3 - 403495/3 = 0. Calculate d.
-4747, 1, 17
Solve -56*t**5/3 - 166*t**4 - 272*t**3/3 + 204*t**2 + 328*t/3 - 38 = 0 for t.
-57/7, -1, 1/4, 1
Let -q**2/4 + 113*q/4 + 5307/2 = 0. Calculate q.
-61, 174
Factor 2*c**2 + 1036*c - 9486.
2*(c - 9)*(c + 527)
Factor 2*n**3/7 - 1164*n**2/7 - 17882*n/7 - 2388.
2*(n - 597)*(n + 1)*(n + 14)/7
Determine g, given that -3*g**4 + 600*g**3 - 18783*g**2 - 1234410*g + 2539200 = 0.
-32, 2, 115
Find t such that 11*t**2 - 820763*t - 149230 = 0.
-2/11, 74615
Let -3*p**4 + 6558*p**3 - 52293*p**2 + 45738*p = 0. What is p?
0, 1, 7, 2178
Factor 2*n**2/3 + 1312568*n/3 + 437522.
2*(n + 1)*(n + 656283)/3
Suppose -2*c**2/11 + 292*c/11 + 10974/11 = 0. What is c?
-31, 177
Factor y**3/6 + 11113*y**2/6 - 16673*y/3 + 11116/3.
(y - 2)*(y - 1)*(y + 11116)/6
Let -5*x**2 + 2060*x - 2055 = 0. What is x?
1, 411
Determine h so that -2*h**5/15 + 1054*h**4/15 - 200*h**3/3 - 27304*h**2/15 - 8416*h/5 = 0.
-4, -1, 0, 6, 526
What is x in -4*x**5 + 444*x**4 - 11132*x**3 - 67724*x**2 + 11136*x + 67280 = 0?
-5, -1, 1, 58
Factor o**3/9 + 325*o**2/9 + 8512*o/9 + 6468.
(o + 14)**2*(o + 297)/9
Factor w**4/5 - 4*w**3/5 - 21*w**2/5.
w**2*(w - 7)*(w + 3)/5
Let m**2 - 627*m - 205870 = 0. Calculate m.
-238, 865
Solve -3*v**2/4 - 5805*v/4 - 78918 = 0 for v.
-1879, -56
Find n, given that n**3 + 29*n**2 + 126*n + 144 = 0.
-24, -3, -2
Let -10*y**4 - 1544*y**3 - 28546*y**2 - 11172*y = 0. Calculate y.
-133, -21, -2/5, 0
Factor -p**3/7 - 3117*p**2/7 - 34176*p/7 - 31060/7.
-(p + 1)*(p + 10)*(p + 3106)/7
Factor 2*q**3 + 1190*q**2 + 5852*q - 28320.
2*(q - 3)*(q + 8)*(q + 590)
Factor 75333*s**2 - 150669*s + 6.
3*(s - 2)*(25111*s - 1)
Factor -v**3/4 + 7921*v**2/4 + 174625*v/4 + 961103/4.
-(v - 7943)*(v + 11)**2/4
Determine q so that 4*q**2 - 1179972*q - 2359960 = 0.
-2, 294995
Solve 5*o**3 - 400*o**2 - 1220*o + 32800 = 0 for o.
-10, 8, 82
Find v, given that -v**2 - 38287*v = 0.
-38287, 0
Solve -p**4/3 + 337*p**3/3 - 8944*p**2 = 0.
0, 129, 208
Factor -3*f**3 + 60*f**2 + 19173*f + 19110.
-3*(f - 91)*(f + 1)*(f + 70)
Factor -4*r**4 + 1036*r**3 - 65560*r**2.
-4*r**2*(r - 149)*(r - 110)
Let 2*a**5/3 + 3280*a**4/3 + 19634*a**3/3 + 42508*a**2/3 + 39224*a/3 + 13072/3 = 0. Calculate a.
-1634, -2, -1
Let 36*n**5 - 1956*n**4 + 628*n**3 + 1076*n**2 + 216*n = 0. What is n?
-1/3, 0, 1, 54
Factor -3*y**3/4 - 51*y**2/4 + 78*y - 99.
-3*(y - 3)*(y - 2)*(y + 22)/4
Find m such that m**3 - 123*m**2 + 2970*m = 0.
0, 33, 90
Suppose o**4/3 + 1234*o**3/3 + 820*o**2 - 4936*o/3 - 9856/3 = 0. What is o?
-1232, -2, 2
Factor 2*q**2/17 + 3615504*q/17 + 1633983646752/17.
2*(q + 903876)**2/17
Suppose -3*j**4 + 159*j**3 + 9453*j**2 + 83001*j + 73710 = 0. What is j?
-27, -10, -1, 91
Factor -a**2/3 + 3730*a - 11189/3.
-(a - 11189)*(a - 1)/3
Solve 2*q**2 + 2216*q - 273280 = 0 for q.
-1220, 112
Find t, given that 2*t**5/7 - 1712*t**4/7 + 4572*t**3 - 165888*t**2/7 + 135594*t/7 = 0.
0, 1, 9, 837
Factor x**2 + 25*x - 546.
(x - 14)*(x + 39)
Suppose 125*g**5 - 7350*g**4 + 62695*g**3 - 132410*g**2 + 77700*g - 13720 = 0. What i