rmine u so that u**4/5 - 4*u**3/5 - 19*u**2/5 - 14*u/5 = 0.
-2, -1, 0, 7
Factor -2*w**4 - 3804*w**3 - 1985594*w**2 - 168129192*w - 3906926408.
-2*(w + 49)**2*(w + 902)**2
Factor -d**3/2 - 335*d**2/2 - 2718*d - 4770.
-(d + 2)*(d + 15)*(d + 318)/2
Let -3*w**4 - 93*w**3 + 2319*w**2 + 13221*w - 273780 = 0. Calculate w.
-45, -12, 13
Solve 8*b**3 + 210*b**2 + 252*b + 50 = 0 for b.
-25, -1, -1/4
Factor 36*y**4 - 2627340*y**3 + 47936475133*y**2 + 15979043990*y + 1331593081.
(y - 36491)**2*(6*y + 1)**2
Factor -2*b**5 - 40*b**4 + 100*b**3 + 3000*b**2 - 11250*b.
-2*b*(b - 5)**2*(b + 15)**2
Factor 243*o**3 - 20861442*o**2 - 9271788*o - 1030200.
3*(o - 85850)*(9*o + 2)**2
Factor -3*b**4/5 + 333*b**3/5 + 10686*b**2/5.
-3*b**2*(b - 137)*(b + 26)/5
Let -3*c**2/4 + 4923*c/2 + 9858 = 0. What is c?
-4, 3286
What is g in -6*g**4 + 4480*g**3 - 64766*g**2 + 256396*g - 143472 = 0?
2/3, 7, 732
Determine t so that 3*t**5/7 + 40482*t**4/7 + 40479*t**3/7 = 0.
-13493, -1, 0
What is z in -3*z**4 - 18*z**3 + 1233*z**2 - 8232*z + 7020 = 0?
-26, 1, 9, 10
Solve a**2 + 1011992*a + 256031952016 = 0 for a.
-505996
Determine c, given that 2*c**2/3 + 5410*c - 113708/3 = 0.
-8122, 7
Factor -2*y**2/3 + 924*y - 10992.
-2*(y - 1374)*(y - 12)/3
Let -64*y**4/3 - 872*y**3/3 + 946*y**2/3 + 3488*y/3 - 920 = 0. Calculate y.
-115/8, -2, 3/4, 2
Let -r**5/6 - 12*r**4 - 116*r**3 + 10777*r**2/3 - 29885*r/2 + 16641 = 0. What is r?
-43, 2, 3, 9
Factor -n**4 + 99*n**3 - 1617*n**2 + 2941*n - 1422.
-(n - 79)*(n - 18)*(n - 1)**2
Find n such that 2*n**4/5 + 9026*n**3 + 67905600*n**2 + 170442905600*n + 850518016000 = 0.
-7520, -5
Determine r, given that -3*r**5/5 + 739*r**4/5 - 44886*r**3/5 - 77376*r**2/5 + 30752*r/5 = 0.
-2, 0, 1/3, 124
Factor b**2/2 - 181*b/2 - 1470.
(b - 196)*(b + 15)/2
Factor -2*w**3/3 + 584*w**2 - 125528*w - 3125824/3.
-2*(w - 442)**2*(w + 8)/3
Factor -5*j**2 - 405*j - 7920.
-5*(j + 33)*(j + 48)
Factor 2*h**3/3 + 464*h**2 - 7142*h/3 - 30844.
2*(h - 11)*(h + 6)*(h + 701)/3
Factor 5*f**3 - 400400*f**2 - 800820*f.
5*f*(f - 80082)*(f + 2)
Find v, given that 14*v**4/17 - 6474*v**3/17 + 15652*v**2/17 - 5520*v/17 = 0.
0, 3/7, 2, 460
Factor -11*f**2/2 - 173*f/2 - 81.
-(f + 1)*(11*f + 162)/2
Factor -t**2/8 + 3165*t/8 + 7925/4.
-(t - 3170)*(t + 5)/8
Find w such that 14*w**3/11 - 7416*w**2/11 + 1806*w + 84320/11 = 0.
-16/7, 5, 527
Let 5*o**5/3 + 1159*o**4/6 + 1762*o**3 + 8239*o**2/6 - 1546*o/3 - 318 = 0. What is o?
-106, -9, -1, -2/5, 1/2
Suppose k**5/4 + 4203*k**4/4 + 1101444*k**3 - 5533520*k**2 = 0. Calculate k.
-2104, 0, 5
Factor -759*b**2/2 + 757*b/2 + 1.
-(b - 1)*(759*b + 2)/2
Suppose -670*w**2/3 + 4162*w/3 + 1232 = 0. Calculate w.
-264/335, 7
Factor -4*b**4 + 7028*b**3 - 4367232*b**2 + 1087860736*b - 80494592000.
-4*(b - 544)**3*(b - 125)
What is j in -j**4/2 + 67*j**3 + 206*j**2 - 67*j - 411/2 = 0?
-3, -1, 1, 137
Factor 2*n**3/5 + 268*n**2/5 + 358*n + 1524/5.
2*(n + 1)*(n + 6)*(n + 127)/5
Find p, given that 5*p**2 + 23455*p - 3010000 = 0.
-4816, 125
Determine v so that -2*v**2 + 41698*v - 83388 = 0.
2, 20847
Find s such that -4*s**3 - 1000*s**2 = 0.
-250, 0
Determine d so that 8*d**4 + 191404*d**3 - 287120*d**2 + 95708*d = 0.
-23927, 0, 1/2, 1
Factor -28*b**3 + 1044*b**2 - 9816*b + 2720.
-4*(b - 20)*(b - 17)*(7*b - 2)
Find m, given that -3*m**2 + 8682*m + 34776 = 0.
-4, 2898
What is p in 5*p**4/3 - 151*p**3 + 1138*p**2/3 + 176*p = 0?
-2/5, 0, 3, 88
What is n in -2*n**3 + 23282*n**2 + 8*n - 93128 = 0?
-2, 2, 11641
Determine k, given that -123*k**2/2 - 733*k/4 + 15/4 = 0.
-3, 5/246
Factor -3*w**2/2 - 1047*w + 90897/2.
-3*(w - 41)*(w + 739)/2
Factor -28*b**2 + 5616*b + 2412.
-4*(b - 201)*(7*b + 3)
Suppose 14*w**5 + 24*w**4 - 442*w**3 - 324*w**2 + 968*w - 240 = 0. Calculate w.
-6, -2, 2/7, 1, 5
Solve 5*w**5 + 103*w**4 + 478*w**3 - 208*w**2 = 0.
-13, -8, 0, 2/5
Let 2*f**4 - 82*f**3 - 4024*f**2 - 31680*f = 0. Calculate f.
-20, -11, 0, 72
Factor -4*x**2 + 1448*x - 129748.
-4*(x - 199)*(x - 163)
Find n such that 2*n**2/13 - 49308*n/13 + 147906/13 = 0.
3, 24651
Factor 62*l**3/5 - 17438*l**2/5 - 12972*l/5.
2*l*(l - 282)*(31*l + 23)/5
Determine n so that -n**5 + 37*n**4 - 98*n**3 - 148*n**2 + 408*n = 0.
-2, 0, 2, 3, 34
Factor -173*w**3 - 67645*w**2 - 68252*w - 780.
-(w + 1)*(w + 390)*(173*w + 2)
Factor 3*x**3 + 9828*x**2 - 9837*x - 19662.
3*(x - 2)*(x + 1)*(x + 3277)
Let 5*s**4 + 365*s**3 - 22525*s**2 + 277935*s - 255780 = 0. What is s?
-116, 1, 21
Suppose 14*c**5/3 + 64*c**4/3 - 1018*c**3/3 + 892*c**2 - 384*c - 576 = 0. What is c?
-12, -4/7, 2, 3
Determine o so that -16*o**4 - 11194*o**3 - 1955790*o**2 + 742000*o + 1225000 = 0.
-350, -5/8, 1
Determine h, given that -2*h**5/3 - 2*h**4/3 + 82*h**3/3 + 226*h**2/3 - 80*h/3 - 224/3 = 0.
-4, -1, 1, 7
Factor -2*g**2/13 - 134648*g/13 - 2266260488/13.
-2*(g + 33662)**2/13
Suppose 21*a**4/5 - 1011*a**3/5 + 144*a**2/5 = 0. What is a?
0, 1/7, 48
Determine l, given that -3*l**4 - 66*l**3 - 465*l**2 - 1122*l - 720 = 0.
-10, -8, -3, -1
Determine n so that -62*n**5/13 + 12*n**4/13 + 930*n**3/13 + 440*n**2/13 - 1608*n/13 + 288/13 = 0.
-3, -2, 6/31, 1, 4
Determine r, given that 3*r**3 + 2967*r**2 + 41097*r + 143325 = 0.
-975, -7
Factor -2*k**2/17 + 1058*k/17.
-2*k*(k - 529)/17
Solve w**2/4 + 99*w/2 + 7865/4 = 0 for w.
-143, -55
Find p, given that 5*p**5 - 40*p**4 - 30*p**3 + 460*p**2 + 25*p - 420 = 0.
-3, -1, 1, 4, 7
Factor 2*p**2 - 942*p - 9620.
2*(p - 481)*(p + 10)
Solve -5*m**3 + 19192*m**2 - 18420481*m + 7365122 = 0.
2/5, 1919
Solve t**3/6 + 589*t**2/3 - 2363*t/6 - 590 = 0.
-1180, -1, 3
Let -r**3 - 21404*r**2 - 114511397*r + 229108418 = 0. What is r?
-10703, 2
Suppose 1980*z**3 - 35204*z**2 - 7840*z - 144 = 0. Calculate z.
-1/5, -2/99, 18
Suppose 4*l**2 + 784*l + 5292 = 0. Calculate l.
-189, -7
Solve -3*d**3/7 + 1515*d**2/7 - 14850*d/7 = 0 for d.
0, 10, 495
Solve 2*p**5/7 - 4*p**4 - 1198*p**3/7 + 23904*p**2/7 - 92664*p/7 + 69984/7 = 0.
-27, 1, 4, 18
Determine i, given that -240*i**5/13 + 2402*i**4/13 - 6020*i**3/13 + 50*i**2/13 = 0.
0, 1/120, 5
Factor 5*b**3 + 3462*b**2 - 2079*b.
b*(b + 693)*(5*b - 3)
Suppose 3*r**3/2 + 15867*r**2/2 + 7923*r - 47592 = 0. What is r?
-5288, -3, 2
Factor -10262889363*s**2/5 + 1052802*s/5 - 27/5.
-3*(58489*s - 3)**2/5
Factor 2*o**5 - 2*o**4 - 28*o**3 + 48*o**2.
2*o**2*(o - 3)*(o - 2)*(o + 4)
Suppose d**3/6 + 61419*d**2 + 11316880683*d/2 = 0. What is d?
-184257, 0
Factor -x**5/5 - 361*x**4/5 - 42822*x**3/5 - 1592588*x**2/5 + 1815848*x.
-x*(x - 5)*(x + 122)**3/5
Determine h, given that -h**5/9 + 1738*h**4/9 + 38588*h**3/9 + 232150*h**2/9 + 299525*h/9 - 572000/9 = 0.
-13, -5, 1, 1760
Suppose 3*o**5/2 + 83*o**4/2 - 3725*o**3/6 + 3357*o**2/2 + 1332*o + 234 = 0. What is o?
-39, -1/3, 6
Find y, given that -2*y**3/3 + 100*y**2/3 + 2554*y/3 + 1564 = 0.
-17, -2, 69
Suppose 4*x**2 + 8628*x + 17240 = 0. Calculate x.
-2155, -2
Factor 3*v**3 + 804*v**2 + 41895*v - 1685502.
3*(v - 26)*(v + 147)**2
Suppose 4*i**5 - 424*i**4/5 - 976*i**3/5 + 33032*i**2/5 + 26876*i/5 - 6688/5 = 0. What is i?
-8, -1, 1/5, 11, 19
Factor 3*w**2 + 824544*w + 56656067328.
3*(w + 137424)**2
Factor -564152*p**2 + 564172*p - 20.
-4*(p - 1)*(141038*p - 5)
Determine n so that 4*n**4 - 9520*n**3 + 5721132*n**2 - 67393280*n + 61681664 = 0.
1, 11, 1184
Find a such that -2*a**4/9 + 2*a**3/9 + 854*a**2/9 - 3362*a/9 + 836/3 = 0.
-22, 1, 3, 19
Factor -g**3 - 205*g**2 + 11546*g.
-g*(g - 46)*(g + 251)
Suppose -4*o**2 - 1024*o - 5020 = 0. What is o?
-251, -5
Determine o so that 2*o**5/13 + 46*o**4/13 + 238*o**3/13 + 194*o**2/13 - 480*o/13 = 0.
-16, -5, -3, 0, 1
Let r**5 - 23*r**4 - 235*r**3 - 397*r**2 - 186*r = 0. What is r?
-6, -1, 0, 31
Factor 3*h**3 - 934374*h**2 + 72754564323*h.
3*h*(h - 155729)**2
Factor 4*i**5 + 76*i**4 - 13112*i**3 + 327024*i**2 - 2900448*i + 7185024.
4*(i - 18)**3*(i - 4)*(i + 77)
Factor 28*s**2 + 14664*s + 10460.
4*(s + 523)*(7*s + 5)
Factor -3*w**4 + 580254*w**3 + 1160520*w**2.
-3*w**2*(w - 193420)*(w + 2)
Factor 160008245*d**2 + 56570*d + 5.
5*(5657*d + 1)**2
Let -3*d**5 + 213*d**4 + 7494*d**3 + 7062*d**2 - 7491*d - 7275 = 0. What is d?
-25, -1, 1, 97
Let -s**5/2 + 17*s**4/2 + 58*s**3 - 66*s**2 = 0. Calculate s.
-6, 0, 1, 22
Find f, given that -3*f**2 + 360*f - 10800 = 0.
60
Determine h so that 3*h**4 + 18*h**3 - 972*h**2 - 5832*h = 0.
-18, -6, 0, 18
