 3)
Solve k**2/2 - 72093*k/2 = 0 for k.
0, 72093
Suppose -2*x**3/9 - 143864*x**2/9 - 287722*x/9 - 143860/9 = 0. Calculate x.
-71930, -1
Factor 2*r**2 + 272182*r - 272184.
2*(r - 1)*(r + 136092)
Solve 3*l**4 - 4314*l**3 + 12924*l**2 - 12918*l + 4305 = 0 for l.
1, 1435
Solve 2*j**4 - 88*j**3/5 - 58*j**2/5 + 352*j/5 + 72/5 = 0 for j.
-2, -1/5, 2, 9
Factor -3*g**4/4 - 1524*g**3 - 1551429*g**2/2 - 1546860*g - 3090675/4.
-3*(g + 1)**2*(g + 1015)**2/4
Factor 5*b**3 + 2915*b**2 + 180230*b + 348840.
5*(b + 2)*(b + 68)*(b + 513)
Factor 5*f**2 + 402365*f - 402370.
5*(f - 1)*(f + 80474)
Let -21*q**5/5 - 1245*q**4 - 550806*q**3/5 - 12669438*q**2/5 - 17221653*q/5 - 5096817/5 = 0. What is q?
-131, -33, -1, -3/7
Find v, given that -v**5 - 51*v**4 + 682*v**3 = 0.
-62, 0, 11
Suppose -2*v**2 + 4424*v - 74630 = 0. What is v?
17, 2195
Solve -28*n**5/5 - 174*n**4/5 + 972*n**3/5 + 8896*n**2/5 + 3312*n + 630 = 0.
-5, -3, -3/14, 7
What is v in -297025*v**2/2 + 55590*v - 5202 = 0?
102/545
Suppose -2*r**2 - 228*r - 2626 = 0. What is r?
-101, -13
Factor -s**2/6 - 982*s - 5890/3.
-(s + 2)*(s + 5890)/6
Factor 8*q**2/11 + 173758*q/11 - 43440/11.
2*(q + 21720)*(4*q - 1)/11
Suppose -5*n**4 - 285*n**3 - 2385*n**2 - 1555*n + 4230 = 0. What is n?
-47, -9, -2, 1
Factor 2*m**2/9 + 710*m/9 - 1936/3.
2*(m - 8)*(m + 363)/9
Determine q, given that q**3/2 - 47*q**2/2 - 1133*q + 2356 = 0.
-31, 2, 76
Factor 2*d**5/7 - 2*d**4 - 12*d**3/7 + 208*d**2/7 - 64*d/7 - 768/7.
2*(d - 4)**3*(d + 2)*(d + 3)/7
Factor 113*g**2/5 - 561*g/5 - 4.
(g - 5)*(113*g + 4)/5
Suppose -2*i**4/5 - 478*i**3/5 - 30172*i**2/5 - 191168*i/5 - 161472/5 = 0. Calculate i.
-116, -6, -1
Factor -2*k**4/11 + 5884*k**3/11 + 17670*k**2/11.
-2*k**2*(k - 2945)*(k + 3)/11
Find z such that -9*z**4 - 429*z**3 - 1845*z**2 - 1659*z + 774 = 0.
-43, -3, -2, 1/3
Factor -x**4/4 + 405*x**3/4 - 43143*x**2/4 + 426899*x/4.
-x*(x - 197)**2*(x - 11)/4
Factor 5*i**4 - 85*i**3 - 55945*i**2 + 2626065*i.
5*i*(i - 67)**2*(i + 117)
Factor 5*t**2 - 11971580*t + 7165936384820.
5*(t - 1197158)**2
Suppose n**4 + 61*n**3 - 1264*n**2 + 4916*n + 6240 = 0. What is n?
-78, -1, 8, 10
Find r such that -52*r**3 - 264*r**2 - 116*r + 432 = 0.
-4, -27/13, 1
Factor 6*s**2/5 - 5939684*s/5 + 1979894/5.
2*(s - 989947)*(3*s - 1)/5
Solve 180*h**2 + 19874220*h + 548589750845 = 0.
-331237/6
Suppose -5*b**4 - 4590*b**3 + 64940*b**2 - 279240*b + 335520 = 0. What is b?
-932, 2, 6
Determine m so that 17*m**3 - 189*m**2 + 22*m = 0.
0, 2/17, 11
Suppose 5*y**2 + 10835*y - 418950 = 0. What is y?
-2205, 38
Factor 4*m**3/5 - 344*m**2/5 + 6724*m/5 - 6384/5.
4*(m - 57)*(m - 28)*(m - 1)/5
Let 2*y**5 + 8536*y**4 + 17064*y**3 - 4*y**2 - 17066*y - 8532 = 0. What is y?
-4266, -1, 1
Find s, given that -10*s**5/7 + 436*s**4/7 - 1214*s**3/7 - 8956*s**2/7 - 480*s = 0.
-3, -2/5, 0, 7, 40
Find t such that 3*t**4/2 + 621*t**3/2 + 2421*t**2/2 - 3045*t/2 = 0.
-203, -5, 0, 1
Let -o**2/12 + 23*o/3 - 529/3 = 0. Calculate o.
46
Solve d**3/4 - 7647*d**2/4 + 38185*d/2 = 0.
0, 10, 7637
Let 380*u**3 - 25312*u**2 + 15344*u - 2112 = 0. Calculate u.
4/19, 2/5, 66
Factor -h**3/3 + 3*h**2.
-h**2*(h - 9)/3
Factor 4*b**2/3 + 1502524*b/3.
4*b*(b + 375631)/3
Find t such that 4*t**3 + 17932*t**2 + 20106252*t + 20088324 = 0.
-2241, -1
Determine b so that -2*b**5/3 - 88*b**4/3 + 806*b**3/3 - 1340*b**2/3 + 208*b = 0.
-52, 0, 1, 6
Factor -2*f**3/5 - 586*f**2/5 - 53072*f/5 - 276768.
-2*(f + 45)*(f + 124)**2/5
Factor -m**3/2 + 493*m**2/2 + 26925*m/2 + 122175/2.
-(m - 543)*(m + 5)*(m + 45)/2
Solve 2*c**3 + 10080*c**2 + 12988074*c + 719789396 = 0.
-2491, -58
Factor -4*v**3 - 21760*v**2 - 29615348*v - 59143688.
-4*(v + 2)*(v + 2719)**2
Factor l**5/5 - 49*l**4/5 - 208*l**3/5 - 212*l**2/5.
l**2*(l - 53)*(l + 2)**2/5
Factor 2*r**2/3 + 6406*r/3 - 8552.
2*(r - 4)*(r + 3207)/3
Factor w**2/5 + 39*w - 1414/5.
(w - 7)*(w + 202)/5
Factor -2*p**4 + 38*p**3 + 6432*p**2.
-2*p**2*(p - 67)*(p + 48)
Determine a, given that -2*a**3/19 + 562*a**2/19 - 21328*a/19 + 20768/19 = 0.
1, 44, 236
Find x, given that -245*x**5 - 10973935*x**4 + 15677565*x**3 + 671795*x**2 - 4479320*x - 895860 = 0.
-44793, -2/7, 1
Factor q**2/4 + 113*q/4 + 408.
(q + 17)*(q + 96)/4
Factor -807*v**2 + 139617*v - 1038.
-3*(v - 173)*(269*v - 2)
Factor 3*c**4 + 267*c**3 + 1029*c**2 + 765*c.
3*c*(c + 1)*(c + 3)*(c + 85)
Solve 7*y**4/2 + 137*y**3/2 - 221*y**2/2 - 225*y/2 + 63 = 0.
-21, -1, 3/7, 2
Suppose 2*c**5/7 - 902*c**4/7 - 5482*c**3/7 - 962*c**2/7 + 21968*c/7 - 14624/7 = 0. What is c?
-4, 1, 457
Let 9*a**5 + 3449*a**4 + 335926*a**3 + 1049180*a**2 + 216600*a = 0. What is a?
-190, -3, -2/9, 0
What is k in -2*k**3/7 + 4407618*k**2/7 - 346912121490*k - 346912751150 = 0?
-1, 1101905
Solve 4*x**3 + 2340*x**2 - 4*x - 2340 = 0 for x.
-585, -1, 1
What is u in 534*u**2/13 - 523858*u/13 + 3924/13 = 0?
2/267, 981
Determine j so that -18*j**4 + 44436*j**3 + 237334*j**2 + 420480*j + 247400 = 0.
-2, -5/3, 2474
What is w in -2*w**4/11 + 2*w**3/11 + 98*w**2/11 + 142*w/11 - 240/11 = 0?
-5, -3, 1, 8
Suppose -2*x**3/3 - 572*x**2 + 33600*x - 1433152/3 = 0. Calculate x.
-914, 28
Factor -2*i**3 - 15142*i**2 - 30278*i - 15138.
-2*(i + 1)**2*(i + 7569)
Factor 3*h**2 - 138543*h.
3*h*(h - 46181)
Find q, given that -q**4 - 17*q**3 + 727*q**2 - 595*q - 4218 = 0.
-37, -2, 3, 19
Factor -m**4 + 2362*m**3 + 26068*m**2 + 83030*m + 59325.
-(m - 2373)*(m + 1)*(m + 5)**2
Factor -63*h**2 - 69180*h - 6588.
-3*(h + 1098)*(21*h + 2)
Solve 3*f**4 - 18*f**3 - 783*f**2 + 2430*f = 0.
-15, 0, 3, 18
Factor -2*r**2/5 + 114748*r/5 - 1645887938/5.
-2*(r - 28687)**2/5
Factor -w**4 - 1695*w**3 - 720788*w**2 - 2140380*w + 2862864.
-(w - 1)*(w + 4)*(w + 846)**2
Factor 100*u**3 + 28720*u**2 + 918016*u + 7805952.
4*(u + 252)*(5*u + 88)**2
Find r such that 115*r**4/3 - 151798*r**3/3 + 16747605*r**2 - 99010796*r/3 - 1737124/3 = 0.
-2/115, 2, 659
Factor -3*r**2 + 154221*r + 154224.
-3*(r - 51408)*(r + 1)
Let 52*i**3/5 + 744*i**2 + 35712*i/5 - 3456 = 0. What is i?
-60, -12, 6/13
Solve -5*s**3 - 1405*s**2 - 91290*s = 0.
-179, -102, 0
Let -5*a**3 - 4760*a**2 - 74795*a + 79560 = 0. What is a?
-936, -17, 1
Factor -5*c**3 + 9685*c**2 + 38800*c + 38820.
-5*(c - 1941)*(c + 2)**2
Determine s so that -3*s**4/7 + 48813*s**3/7 - 341514*s**2/7 - 487968*s/7 + 780672/7 = 0.
-2, 1, 8, 16264
Factor -4*q**2/5 - 668*q/5 - 3024.
-4*(q + 27)*(q + 140)/5
Determine k so that 3*k**2/8 - 87939*k/4 + 2577755907/8 = 0.
29313
Factor -3*g**2/4 + 1650639*g/4 + 1650645/2.
-3*(g - 550215)*(g + 2)/4
Determine n so that -4*n**4 - 660*n**3 - 20928*n**2 + 44528*n = 0.
-121, -46, 0, 2
Factor 33*r**2 - 936*r + 336.
3*(r - 28)*(11*r - 4)
Factor -5*v**2 - 4197800*v - 881076242000.
-5*(v + 419780)**2
Let -g**3/4 + 893*g**2/4 + 4565*g = 0. Calculate g.
-20, 0, 913
Factor -2*a**3/3 + 22*a**2 - 164*a + 736/3.
-2*(a - 23)*(a - 8)*(a - 2)/3
Factor -o**3/4 - 1987*o**2/4 + 10035*o.
-o*(o - 20)*(o + 2007)/4
Suppose -2*i**3 + 6188*i**2 + 24776*i + 24784 = 0. Calculate i.
-2, 3098
What is c in -4*c**2 + 35168*c + 105540 = 0?
-3, 8795
Suppose 3*f**2 - 25284*f + 53273388 = 0. What is f?
4214
Determine c, given that -17*c**2/3 + 587678*c + 207416/3 = 0.
-2/17, 103708
Let 6*m**4/5 + 274652*m**3/5 + 628596032*m**2 - 2095442176*m/5 = 0. What is m?
-22888, 0, 2/3
Factor 2*w**3/3 - 38*w**2/3 + 10*w + 450.
2*(w - 15)*(w - 9)*(w + 5)/3
Suppose 225*n**3/2 + 21765*n**2/2 - 17628*n + 7080 = 0. Calculate n.
-295/3, 4/5
Solve -2*o**2/5 - 10652*o/5 - 14183138/5 = 0.
-2663
Let 5*c**3 - 580*c**2 + 1705*c - 1130 = 0. What is c?
1, 2, 113
Determine l, given that l**2/7 - 526*l/7 + 22513/7 = 0.
47, 479
Suppose -2*j**4/9 + 128*j**3/3 - 16832*j**2/9 - 51200*j/3 - 320000/9 = 0. What is j?
-4, 100
Factor -4*f**3/7 - 16792*f**2/7 + 33596*f/7 - 2400.
-4*(f - 1)**2*(f + 4200)/7
What is f in 108*f**5 - 276*f**4 - 128*f**3/3 + 1024*f**2/3 = 0?
-1, 0, 16/9
Factor -5*b**2 + 830*b - 14600.
-5*(b - 146)*(b - 20)
Factor -2*r**2/15 - 3454*r/15 - 40584/5.
-2*(r + 36)*(r + 1691)/15
Suppose 12*o**5/7 + 3181*o**4/7 - 4148*o**3 + 77076*o**2/7 - 52576*o/7 + 8768/7 = 0. What is o?
-274, 1/4, 2/3, 4
Determine d, given that 2*d**2/9 + 11908*d/9 + 118880/9 = 0.
-5944, -10
Determine w, given that 6*w**4/5 + 10*w**3/3 - 14*w**2/3 - 26*w/3 + 44/5 = 0.
-3, -2, 1, 11/9
Solve h**4/5 - 4924*h**3/5 - 23712*h**2 - 949504*h/5 - 2