5.
5*(177*b + 19)**2
Factor 28*r**2/3 + 268984*r - 230560/3.
4*(r + 28820)*(7*r - 2)/3
Factor -2*w**2/7 + 38*w/7 + 12.
-2*(w - 21)*(w + 2)/7
Find l, given that -5*l**2 - 3519050*l - 619185645125 = 0.
-351905
Factor -3*y**3 - 3474*y**2 - 1121940*y - 65215608.
-3*(y + 74)*(y + 542)**2
Factor -4*y**2 - 680*y + 16896.
-4*(y - 22)*(y + 192)
Factor -2*n**2/15 - 39044*n/15.
-2*n*(n + 19522)/15
Solve -3*q**3 + 30690*q**2 - 122724*q + 122712 = 0 for q.
2, 10226
Let -4*n**2 + 90584*n - 512841316 = 0. What is n?
11323
Determine a, given that -a**4 + 882*a**3/5 - 40497*a**2/5 + 563828*a/5 - 219108/5 = 0.
2/5, 31, 114
Find z such that 5*z**3/3 + 520*z**2/3 - 11515*z/3 + 6970 = 0.
-123, 2, 17
Factor 5*h**4 - 590*h**3 + 16760*h**2 + 40800*h - 144000.
5*(h - 60)**2*(h - 2)*(h + 4)
Factor -5*d**2 - 573540*d - 16447406580.
-5*(d + 57354)**2
Solve 3*d**2/4 + 10923*d/4 + 32715/2 = 0 for d.
-3635, -6
Let -2*k**2 + 10256*k = 0. What is k?
0, 5128
Solve 2*w**3/15 - 662*w**2/5 + 159264*w/5 + 508032 = 0.
-15, 504
Find h, given that 5*h**4 + 410*h**3 - 66435*h**2 + 1849000*h - 6360560 = 0.
-172, 4, 43
Determine i so that -i**2/5 - 20406*i/5 - 104101209/5 = 0.
-10203
Solve 4*n**5 + 1496*n**4 + 172464*n**3 + 6124320*n**2 + 72036864*n + 120932352 = 0 for n.
-162, -24, -2
Suppose 3*p**2 + 4357*p/2 + 363 = 0. What is p?
-726, -1/6
Find o such that -2*o**5/9 - 20*o**4/9 + 10*o**3/3 + 80*o**2/9 - 88*o/9 = 0.
-11, -2, 0, 1, 2
Factor -173*t**2/3 - 29*t/2 + 259/6.
-(t + 1)*(346*t - 259)/6
Let 6*d**3/7 + 123828*d**2/7 + 639509256*d/7 + 6382715760/7 = 0. Calculate d.
-10314, -10
Factor -5*o**2 - 2205640*o - 243242390480.
-5*(o + 220564)**2
Solve -3*s**2 + 93*s + 3060 = 0 for s.
-20, 51
Factor z**2/3 - 46*z + 536/3.
(z - 134)*(z - 4)/3
Factor 5*t**2 + 11535*t + 442260.
5*(t + 39)*(t + 2268)
Factor 3*q**3/5 + 48*q**2/5 - 2769*q/5 + 21294/5.
3*(q - 13)**2*(q + 42)/5
Factor 2*l**3/3 - 168*l**2 + 8280*l - 115200.
2*(l - 192)*(l - 30)**2/3
Factor -4*q**3/3 + 15236*q**2/3.
-4*q**2*(q - 3809)/3
Suppose -4*c**5 - 50*c**4 + 1406*c**3 + 3810*c**2 - 2250*c = 0. Calculate c.
-25, -3, 0, 1/2, 15
Factor b**2/4 - 713*b/4 + 2958.
(b - 696)*(b - 17)/4
Let -s**2 + 8569*s - 170980 = 0. What is s?
20, 8549
Suppose 2*n**2/11 + 67322*n/11 + 134636/11 = 0. Calculate n.
-33659, -2
Factor -4*z**4 + 36112*z**3 - 108612792*z**2 + 108648394064*z + 545961806620.
-4*(z - 3011)**3*(z + 5)
What is z in 2*z**4 + 7410*z**3 - 44514*z**2 + 66798*z = 0?
-3711, 0, 3
Suppose 3*p**4 - 9585*p**3 - 9594*p**2 + 19176*p = 0. What is p?
-2, 0, 1, 3196
Factor -p**2/6 - 47887*p/3 - 95771/2.
-(p + 3)*(p + 95771)/6
Let 37328*v**5 + 74660*v**4 + 8*v**3 - 74656*v**2 - 37336*v - 4 = 0. Calculate v.
-1, -1/9332, 1
Suppose -4*w**2/7 + 2805312*w/7 - 491860963584/7 = 0. What is w?
350664
Factor 10*w**2 + 34*w - 504.
2*(w + 9)*(5*w - 28)
Solve 3*j**2/4 + 798*j - 3195/4 = 0.
-1065, 1
Suppose -12*z**5 - 319*z**4 + 8814*z**3 - 16623*z**2 + 8140*z = 0. What is z?
-44, 0, 1, 185/12
Factor 2*s**3/7 + 86762*s**2/7 - 520626*s/7 + 780966/7.
2*(s - 3)**2*(s + 43387)/7
Suppose 10*z**2 - 289295*z - 433965 = 0. Calculate z.
-3/2, 28931
What is n in 262*n**4/3 + 4*n**3/3 = 0?
-2/131, 0
Find w such that -12*w**5 + 4881*w**4 - 535590*w**3 + 7994592*w**2 - 34443630*w + 21560175 = 0.
3/4, 7, 9, 195
Let -r**3 - 284*r**2 + 196*r + 55664 = 0. Calculate r.
-284, -14, 14
Solve -66*m**2 + 266*m - 8 = 0.
1/33, 4
Factor u**2/8 + 92507*u/2 + 8557545049/2.
(u + 185014)**2/8
Factor 2*b**4 - 232*b**3 + 7370*b**2 - 36300*b.
2*b*(b - 55)**2*(b - 6)
Factor -158*a**4/3 + 326*a**3 - 692*a**2 + 1624*a/3 - 80.
-2*(a - 2)**3*(79*a - 15)/3
Determine r, given that 2*r**3 + 10740*r**2 + 21474*r + 10736 = 0.
-5368, -1
What is q in -3*q**5/2 + 3021*q**4 + 42423*q**3/2 + 18237*q**2 - 96960*q - 97008 = 0?
-4, -1, 2, 2021
Factor 5*x**3 + 1042855*x**2 + 4171360*x + 4171340.
5*(x + 2)**2*(x + 208567)
Factor 2*h**4/7 - 66*h**3/7 + 94*h**2/7 + 930*h/7.
2*h*(h - 31)*(h - 5)*(h + 3)/7
Suppose 2*y**4/13 - 8380*y**3/13 + 8378*y**2/13 = 0. Calculate y.
0, 1, 4189
Factor -5*n**2 - 287860*n - 4143168980.
-5*(n + 28786)**2
Find q, given that -3*q**2/7 - 348060*q/7 - 99444 = 0.
-116018, -2
Find z such that -2*z**5/5 - 14*z**4/5 + 244*z**3/5 + 2796*z**2/5 + 9486*z/5 + 2106 = 0.
-9, -5, -3, 13
Let y**5/2 + 347*y**4/4 + 1515*y**3 + 8315*y**2/4 - 43*y - 693 = 0. Calculate y.
-154, -18, -1, 1/2
Find k such that -42*k**5/5 - 618*k**4/5 + 936*k**3/5 + 1128*k**2/5 - 384*k/5 = 0.
-16, -1, 0, 2/7, 2
Determine c, given that c**3/3 - 31*c**2/3 - 572*c/3 = 0.
-13, 0, 44
Determine o, given that -366*o**3 + 358*o**2 + 740*o + 16 = 0.
-1, -4/183, 2
Solve 4*r**2 - 1163832*r + 2327648 = 0.
2, 290956
Find w such that w**3 + 398*w**2 + 37105*w - 504300 = 0.
-205, 12
Find q such that -5*q**3/2 + 75*q**2/2 - 375*q/2 + 625/2 = 0.
5
Let 4*l**2 - 4696*l - 364124 = 0. What is l?
-73, 1247
Factor -2*h**2/13 + 1380*h/13 + 4158/13.
-2*(h - 693)*(h + 3)/13
Suppose r**5/4 + 43*r**4/4 + 341*r**3/4 + 317*r**2/4 - 783*r/2 - 396 = 0. What is r?
-33, -8, -3, -1, 2
Find x such that 2*x**5/3 + 360*x**4 + 8494*x**3/3 - 3264*x**2 - 38232*x + 38304 = 0.
-532, -6, 1, 3
Factor 2*v**2/3 + 1280*v/3 + 2536.
2*(v + 6)*(v + 634)/3
Let -3*z**3 + 13251*z**2 + 26523*z - 39771 = 0. Calculate z.
-3, 1, 4419
Determine g so that -15*g**5 - 745*g**4 + 1085*g**3 + 3345*g**2 + 1530*g = 0.
-51, -1, -2/3, 0, 3
Determine x so that 4*x**2 - 2512*x + 231168 = 0.
112, 516
Let -3*o**2 + 945*o - 74250 = 0. What is o?
150, 165
Suppose 3*d**3 + 3744*d**2 + 11211*d + 7470 = 0. Calculate d.
-1245, -2, -1
Factor -y**2/3 - 2828*y/3 - 4705.
-(y + 5)*(y + 2823)/3
Solve z**3 - 70*z**2 - 77*z + 426 = 0.
-3, 2, 71
What is r in 3*r**5 + 186*r**4 - 3117*r**3 + 5664*r**2 - 2736*r = 0?
-76, 0, 1, 12
Factor 3*l**2 - 3576*l + 77220.
3*(l - 1170)*(l - 22)
Let -4*n**2 + 164*n + 720 = 0. Calculate n.
-4, 45
Suppose h**4/3 + 349*h**3/3 - 351*h**2 + 1055*h/3 - 352/3 = 0. What is h?
-352, 1
Let 20*j**4 - 3956*j**3 + 3060*j**2 + 18068*j + 11032 = 0. Calculate j.
-1, 14/5, 197
Solve 3*o**5/4 - 3095*o**4/4 + 262830*o**3 - 28250640*o**2 - 388743840*o - 126432576 = 0 for o.
-12, -1/3, 348
Let 4*i**5 + 200*i**4 + 1536*i**3 + 2360*i**2 - 4100*i = 0. Calculate i.
-41, -5, 0, 1
Find a, given that 2*a**2/15 - 9342*a/5 = 0.
0, 14013
Find w such that 5*w**5 - 130*w**4 - 2790*w**3 - 11320*w**2 - 14815*w - 6150 = 0.
-10, -3, -1, 41
Factor 2*o**2 - 813976*o + 82819616072.
2*(o - 203494)**2
Find w, given that -4*w**3 + 1492*w**2 + 2996*w + 1500 = 0.
-1, 375
Let k**2/4 + 615581*k/2 + 378939967561/4 = 0. What is k?
-615581
Factor s**3/11 + 2505*s**2/11 - s/11 - 2505/11.
(s - 1)*(s + 1)*(s + 2505)/11
Factor 5*y**3 - 6463095*y**2 + 2088576617400*y + 2088583080500.
5*(y - 646310)**2*(y + 1)
Solve y**2/10 - 1077*y/5 - 19548/5 = 0.
-18, 2172
Suppose -3*u**2/4 + 3225*u/4 - 59109/2 = 0. What is u?
38, 1037
Factor 2*m**3/9 - 884*m**2/9 - 986048*m/9 - 162925120/9.
2*(m - 1010)*(m + 284)**2/9
Suppose k**4/3 + 464*k**3/3 + 27902*k**2/3 - 464*k/3 - 9301 = 0. Calculate k.
-393, -71, -1, 1
Factor 3*j**4/2 - 1077*j**3 + 272151*j**2/2 + 20551314*j + 546184086.
3*(j - 406)**2*(j + 47)**2/2
Factor 3*z**3/5 + 182*z**2 + 6496*z/5 - 4736/5.
(z + 8)*(z + 296)*(3*z - 2)/5
Factor -2*w**4 + 29440*w**3 - 108280304*w**2 - 433474560*w - 433592352.
-2*(w - 7362)**2*(w + 2)**2
Factor 2*b**2 + 100*b - 15312.
2*(b - 66)*(b + 116)
Determine l, given that 2*l**3/13 - 2*l**2/13 - 1520*l/13 - 232 = 0.
-26, -2, 29
Factor -10*b**3 - 3941*b**2 - 394*b.
-b*(b + 394)*(10*b + 1)
Determine t so that t**5/8 - 139*t**4 + 555*t**3/4 + 139*t**2 - 1111*t/8 = 0.
-1, 0, 1, 1111
Find m such that 2*m**5/3 + 600*m**4 + 5912*m**3 - 57152*m**2/3 - 56960*m = 0.
-890, -12, -2, 0, 4
Find h, given that -2*h**5 - 14*h**4 + 666*h**3 + 1406*h**2 - 4744*h + 2688 = 0.
-21, -4, 1, 16
Let -t**3/5 + 1452*t**2/5 + 1164*t + 5824/5 = 0. Calculate t.
-2, 1456
Factor -c**4 - 6*c**3 + 3*c**2 + 56*c + 48.
-(c - 3)*(c + 1)*(c + 4)**2
Determine r so that -4*r**5 - 2848*r**4 - 504048*r**3 + 1045224*r**2 + 4536756*r - 9176328 = 0.
-357, -3, 2, 3
Factor -x**2 + 105*x + 1534.
-(x - 118)*(x + 13)
Let -5*j**3 + 2020*j**2 + 18495*j + 37170 = 0. What is j?
-6, -3, 413
Let -4*s**5/5 - 124*s**4/5 + 564*s**3/5 + 124*s**2/5 - 112*s = 0. What is s?
-35, -1, 0, 1, 4
Factor z**3/3 - 2