/3 + 163963*b**2/3 - 46846*b/3 = 0.
0, 2/7, 23423
Suppose -2*y**2 + 28298*y - 28296 = 0. What is y?
1, 14148
Factor -2*h**2/5 + 13744*h/5 - 23612192/5.
-2*(h - 3436)**2/5
Factor w**5/2 + 385*w**4/2 + 1508*w**3 - 64*w**2 - 24256*w - 48256.
(w - 4)*(w + 4)**3*(w + 377)/2
Factor -4*v**2 - 180*v + 3904.
-4*(v - 16)*(v + 61)
Determine m, given that -3*m**4 + 195*m**3 + 24*m**2 - 13824*m = 0.
-8, 0, 9, 64
Determine q, given that 3*q**4 - 57*q**3 - 333*q**2 + 1353*q - 966 = 0.
-7, 1, 2, 23
Determine f, given that 3*f**4 - 162*f**3 - 4920*f**2 - 7776*f + 36480 = 0.
-20, -4, 2, 76
Solve j**4/7 + 1495*j**3 + 36498429*j**2/7 + 42398980443*j/7 - 84944038338/7 = 0.
-3489, 2
Factor 3920*u**4 - 109480*u**3 + 1138485*u**2 - 5223760*u + 8924480.
5*(u - 8)**2*(28*u - 167)**2
Let 4*w**5 - 3700*w**4 + 14760*w**3 - 22120*w**2 + 14740*w - 3684 = 0. What is w?
1, 921
Suppose 2*p**2/9 - 99272*p/9 + 1231866248/9 = 0. What is p?
24818
Factor -5*c**4 - 32*c**3 + 411*c**2 + 2538*c.
-c*(c - 9)*(c + 6)*(5*c + 47)
Factor s**2/7 - 6175*s/7 - 12354/7.
(s - 6177)*(s + 2)/7
Suppose -12*n**2 + 2273752*n - 757916 = 0. What is n?
1/3, 189479
Factor -2*r**4/21 + 1508*r**3/7 - 2576354*r**2/21 + 971152*r - 5806304/3.
-2*(r - 1127)**2*(r - 4)**2/21
Suppose 2*g**2/7 + 21112*g = 0. What is g?
-73892, 0
Find y such that -2*y**3/5 - 4366*y**2 - 59535854*y/5 + 178804086/5 = 0.
-5459, 3
Factor 2*l**2/3 + 522*l + 67804/3.
2*(l + 46)*(l + 737)/3
Factor -1804334*w**3/3 + 334588*w**2/3 + 15720*w + 432.
-2*(7*w - 2)*(359*w + 18)**2/3
Determine p, given that 2*p**5/15 - 64*p**4/15 - 722*p**3/15 - 656*p**2/15 = 0.
-8, -1, 0, 41
Factor 12*s**2 - 52*s + 56.
4*(s - 2)*(3*s - 7)
Solve 5*t**5 - 520*t**4 + 2500*t**3 - 2450*t**2 - 2505*t + 2970 = 0 for t.
-1, 1, 2, 3, 99
Suppose w**2/6 + 449*w/6 - 9253/3 = 0. Calculate w.
-487, 38
Solve -4*f**2/9 + 71*f + 1294/9 = 0.
-2, 647/4
Factor v**2 - 100*v - 525.
(v - 105)*(v + 5)
Find z, given that 70*z**4 - 104*z**3 - 282*z**2 - 108*z = 0.
-1, -18/35, 0, 3
Let 2*o**4/9 + 100*o**3/9 + 248*o**2/9 - 1840*o/3 = 0. Calculate o.
-46, -10, 0, 6
Factor 3*n**2 + 837*n + 52962.
3*(n + 97)*(n + 182)
Factor 3*q**2 + 1827*q - 77880.
3*(q - 40)*(q + 649)
What is i in i**4/6 + 58*i**3/3 + 728*i**2 + 29792*i/3 + 87808/3 = 0?
-56, -28, -4
Find g such that -2*g**3/11 + 36028*g**2/11 - 648018*g/11 + 265032 = 0.
9, 17996
Determine b, given that -2*b**2 + 1540*b + 355632 = 0.
-186, 956
Factor 3*h**3/4 + 58485*h**2/4 - 116979*h/4 + 58491/4.
3*(h - 1)**2*(h + 19497)/4
Suppose 5434*c**3 - 102302*c**2 - 17944*c + 152 = 0. Calculate c.
-2/11, 2/247, 19
Suppose y**4/6 - 25*y**3/6 + 31*y**2/6 + 115*y/2 = 0. What is y?
-3, 0, 5, 23
Find j such that 5*j**5 - 2160*j**4 - 2180*j**3 + 6490*j**2 + 2175*j - 4330 = 0.
-2, -1, 1, 433
Determine g so that -g**4/5 - 4792*g**3/5 + g**2/5 + 4792*g/5 = 0.
-4792, -1, 0, 1
What is d in d**5 + 76*d**4 + 156*d**3 - 82134*d**2 - 652509*d + 23134410 = 0?
-39, 15, 26
Determine z so that -2*z**4 + 100*z**3 + 3016*z**2 + 10800*z + 10368 = 0.
-18, -2, 72
Factor -r**3 - 11524*r**2 - 33189117*r + 66424338.
-(r - 2)*(r + 5763)**2
Let -2*n**2/13 - 418*n/13 + 131064/13 = 0. What is n?
-381, 172
Factor -3*j**3/2 - 585*j**2/2 + 3639*j/2 + 4221/2.
-3*(j - 7)*(j + 1)*(j + 201)/2
Factor -2*y**3 + 2584*y**2 + 15576*y.
-2*y*(y - 1298)*(y + 6)
What is y in 3*y**3/4 - 134091*y**2/2 + 5994001755*y/4 - 5992929075 = 0?
4, 44695
Let 4*q**5/3 - 1076*q**4/3 + 18220*q**3/3 - 35564*q**2/3 - 395648*q/3 - 485936/3 = 0. Calculate q.
-2, 11, 251
Let -w**4 + 63*w**3 + 332*w**2 + 540*w + 272 = 0. Calculate w.
-2, -1, 68
Factor 35*u**2 + 67045*u - 67080.
5*(u - 1)*(7*u + 13416)
What is r in 2*r**3/25 - 816*r**2/25 + 44826*r/25 - 665012/25 = 0?
31, 346
Find j such that -8*j**3/5 + 6396*j**2/5 + 141128*j/5 + 68964/5 = 0.
-21, -1/2, 821
Factor u**2/6 - 28*u + 792.
(u - 132)*(u - 36)/6
Factor -2738*x**3/3 - 539830*x**2/3 - 29162*x - 1182.
-2*(x + 197)*(37*x + 3)**2/3
Suppose 2*s**5/9 + 200*s**4/9 - 856*s**3/9 - 2432*s**2/9 + 6784*s/9 + 13312/9 = 0. Calculate s.
-104, -2, 4
Factor -3*x**2 - 6135996*x - 3137537242668.
-3*(x + 1022666)**2
Factor -w**2/4 + 4235*w/2 + 25419/4.
-(w - 8473)*(w + 3)/4
Find m such that 4*m**4 - 276*m**3 + 3252*m**2 + 7348*m + 3816 = 0.
-1, 18, 53
What is h in -5*h**2 - 6820*h - 232575 = 0?
-1329, -35
Factor -5*i**4 + 6425*i**3 - 2754180*i**2 + 394761520*i - 392013760.
-5*(i - 428)**3*(i - 1)
Factor -3*m**2 - 46740*m + 140247.
-3*(m - 3)*(m + 15583)
Factor -2*c**2/11 + 4766*c/11 - 71040/11.
-2*(c - 2368)*(c - 15)/11
Find q, given that q**4 + 9972*q**3 - 9978*q**2 - 49868*q - 29919 = 0.
-9973, -1, 3
Suppose 3*x**4/4 + 1392*x**3 + 645876*x**2 - 22272*x - 10334208 = 0. What is x?
-928, -4, 4
Find r, given that r**2/3 + 73124*r/3 + 1336779844/3 = 0.
-36562
Factor 2*x**2/5 + 246268*x/5 + 7580990978/5.
2*(x + 61567)**2/5
Factor b**4/6 + 1447*b**3/6 - 7335*b**2 + 221050*b/3 - 738500/3.
(b - 10)**3*(b + 1477)/6
What is r in -r**2/4 + 2679*r - 7177041 = 0?
5358
Factor -40*k**2 - 679*k + 17.
-(k + 17)*(40*k - 1)
Determine y so that -y**5 - 778*y**4 - 32235*y**3 - 466382*y**2 - 2451764*y - 2016840 = 0.
-735, -14, -1
Determine j so that -3*j**2 - 1157502*j - 111650906667 = 0.
-192917
Factor 3*g**3 - 88347*g**2 - 1767840*g - 8840700.
3*(g - 29469)*(g + 10)**2
Factor -f**5 - 56*f**4 + 116*f**3 - 2*f**2 - 115*f + 58.
-(f - 1)**3*(f + 1)*(f + 58)
Let -2*f**3 + 7936*f**2 + 15878*f + 7940 = 0. What is f?
-1, 3970
Factor 4*a**4 - 18644*a**3 + 18632*a**2 + 37280*a.
4*a*(a - 4660)*(a - 2)*(a + 1)
Solve -92*g**5 + 1460*g**4 - 4684*g**3 + 5068*g**2 - 1464*g - 288 = 0 for g.
-3/23, 1, 2, 12
Determine w, given that 2*w**5/7 + 282*w**4/7 + 278*w**3/7 - 282*w**2/7 - 40*w = 0.
-140, -1, 0, 1
Solve 35*b**2 - 1250*b - 360 = 0.
-2/7, 36
Let -2*g**5 - 19*g**4 + 5871*g**3 - 146660*g**2 + 1029200*g + 552000 = 0. Calculate g.
-69, -1/2, 20
Suppose -8*n**3/7 + 62380*n**2/7 - 17369488*n - 8686972 = 0. What is n?
-1/2, 3899
Let -3*k**4 - 19986*k**3 + 39981*k**2 - 19992*k = 0. What is k?
-6664, 0, 1
Find p such that -2*p**4/3 + 576*p**3 - 166460*p**2 + 48762448*p/3 - 47279806 = 0.
3, 287
Determine n so that -38*n**5/13 - 32912*n**4/13 + 62466*n**3/13 - 26044*n**2/13 - 3472*n/13 = 0.
-868, -2/19, 0, 1
Factor 2*b**4/7 - 48196*b**3/7 + 290453178*b**2/7 - 165890632*b + 165863096.
2*(b - 12047)**2*(b - 2)**2/7
Find a, given that a**3/2 + 2769*a**2/2 - 4157*a + 2772 = 0.
-2772, 1, 2
Determine w, given that w**4 - 40*w**3 + 381*w**2 - 810*w = 0.
0, 3, 10, 27
Factor 5*v**2 - 135210*v + 914087205.
5*(v - 13521)**2
Factor 3*n**2 - 7632*n - 247296.
3*(n - 2576)*(n + 32)
Factor c**3 - 16473*c**2/2 - 61821*c - 74196.
(c - 8244)*(c + 6)*(2*c + 3)/2
Factor k**5 + 69*k**4/7 + 156*k**3/7 - 272*k**2/7 - 960*k/7.
k*(k + 4)**3*(7*k - 15)/7
Factor -a**2/5 + 62*a - 17784/5.
-(a - 234)*(a - 76)/5
Factor b**2/10 - 269*b/10 + 132.
(b - 264)*(b - 5)/10
Factor -5*r**3 + 2125*r**2 - 86690*r - 181920.
-5*(r - 379)*(r - 48)*(r + 2)
Determine y so that -2*y**2/7 + 42624*y/7 = 0.
0, 21312
Find n, given that -4*n**5 - 1884*n**4 - 3752*n**3 + 8*n**2 + 3756*n + 1876 = 0.
-469, -1, 1
Determine o, given that -5*o**2 + 180260*o - 1624683380 = 0.
18026
Factor 3*q**3 + 8421*q**2 + 58836*q + 100800.
3*(q + 3)*(q + 4)*(q + 2800)
Factor -4*t**4/7 + 752*t**3/7 - 748*t**2/7.
-4*t**2*(t - 187)*(t - 1)/7
Let -5*r**5 + 225*r**4 - 575*r**3 - 2325*r**2 + 580*r + 2100 = 0. Calculate r.
-2, -1, 1, 5, 42
Factor -2*y**2/17 - 22812*y - 1105823106.
-2*(y + 96951)**2/17
Find z such that -46*z**3 - 194347*z**2 - 375841*z + 25338 = 0.
-4223, -2, 3/46
Determine q so that q**2 + 3651*q - 10962 = 0.
-3654, 3
Let 107*k**2 + 746*k + 639 = 0. What is k?
-639/107, -1
Determine f so that 15*f**5 - 3245*f**4 + 182400*f**3 - 747320*f**2 + 903120*f - 224720 = 0.
1/3, 2, 106
What is a in 14*a**5/5 + 1392*a**4/5 + 20068*a**3/5 + 81552*a**2/5 + 31374*a/5 = 0?
-83, -9, -7, -3/7, 0
Factor 5*c**2 + 1490*c - 10675.
5*(c - 7)*(c + 305)
Suppose h**2 - 343*h + 5542 = 0. Calculate h.
17, 326
Factor 3*k**2 - 603*k + 14532.
3*(k - 173)*(k - 28)
Solve -3*v**2/4 - 57885*v/4 - 722625/2 = 0 for v.
-19270, -25
Factor 5*v**2 + 3770*v + 80520.
5*(v + 22)*(v + 732)
Let w**2 - 747*w + 22880 = 0. What is w?
32, 715
Suppose -b**3 + 4258*b**2 + b - 4258 = 0. What is b?
-1, 1, 4258
Factor -z**3/5 + 3