99*v**4/4 - 4089*v**3 + 4209*v**2 + 40716*v + 32448 = 0.
-26, -2, -1, 4, 208/7
Factor j**3/5 + 21*j**2/5 - 441*j + 2183/5.
(j - 37)*(j - 1)*(j + 59)/5
Solve -x**5/8 + 483*x**4/8 + 7441*x**3/8 + 14649*x**2/8 - 12906*x + 20169/2 = 0 for x.
-9, 1, 2, 498
Find s such that s**4/4 - 47*s**3/2 - 6844*s**2 + 47*s/2 + 27375/4 = 0.
-125, -1, 1, 219
Solve -33*o**3 - 47691*o**2 + 1007268*o + 184716 = 0.
-1466, -2/11, 21
Factor -q**3 - 182*q**2 + 741*q - 558.
-(q - 3)*(q - 1)*(q + 186)
Factor 2*u**4 + 5600*u**3 - 2208492*u**2 + 274313776*u - 11206894886.
2*(u - 121)**3*(u + 3163)
Suppose g**5/7 + 1445*g**4/7 + 712084*g**3/7 + 127065440*g**2/7 + 3656336800*g/7 + 3529982000/7 = 0. What is g?
-470, -34, -1
Factor -5*y**4 - 2325*y**3 - 6940*y**2 - 4620*y.
-5*y*(y + 1)*(y + 2)*(y + 462)
Suppose -7*a**4/8 - 373*a**3/4 - 4621*a**2/8 - 1041*a/4 + 225 = 0. What is a?
-100, -6, -1, 3/7
Solve -d**3 + 48*d**2 + 4*d - 192 = 0 for d.
-2, 2, 48
Solve 18*c**5/5 - 554*c**3/5 + 544*c**2/5 - 24*c = 0.
-6, 0, 1/3, 2/3, 5
Factor -5*f**2 + 4785*f - 4780.
-5*(f - 956)*(f - 1)
Solve -14*h**5 + 144*h**4 + 234*h**3 - 5076*h**2 + 1944*h + 42768 = 0 for h.
-33/7, -3, 6
Suppose 3*s**2 + 254280*s + 5388193200 = 0. Calculate s.
-42380
Suppose 35*o**5 + 545*o**4 - 2220*o**3 - 12780*o**2 - 6480*o = 0. What is o?
-18, -3, -4/7, 0, 6
Factor -2*s**2 + 3274*s - 32540.
-2*(s - 1627)*(s - 10)
Solve 4*d**2/7 - 394328*d/7 - 788672/7 = 0 for d.
-2, 98584
Suppose 2*l**3/7 - 5324*l**2/7 + 523200*l - 157399488/7 = 0. What is l?
46, 1308
Find m such that 2*m**3 + 822*m**2 + 22860*m = 0.
-381, -30, 0
Determine n so that -3*n**2/4 - 514647*n - 88287178203 = 0.
-343098
Suppose -2*g**2/11 + 146868*g/11 - 2696276178/11 = 0. Calculate g.
36717
Factor -506*m**3 + 2980*m**2 - 4442*m + 1968.
-2*(m - 1)**2*(253*m - 984)
Solve 64*f**4 + 2356*f**3 - 7996*f**2 + 6536*f - 960 = 0.
-40, 3/16, 1, 2
Find z, given that 15*z**5/8 - 1221*z**4/2 - 1719*z**3/2 + 1461*z**2/4 + 6861*z/8 + 981/4 = 0.
-1, -2/5, 1, 327
Find k such that 3*k**3 + 456*k**2 - 612*k - 1623024 = 0.
-102, 52
Factor q**4/5 + 17*q**3/5 - 36*q**2 + 484*q/5 - 80.
(q - 4)*(q - 2)**2*(q + 25)/5
Let -v**5/5 - 71*v**4/5 - 140*v**3 + 644*v**2 + 4976*v/5 - 7424/5 = 0. What is v?
-58, -16, -2, 1, 4
Suppose -3*z**4 - 42999*z**3 - 171963*z**2 - 214941*z - 85974 = 0. Calculate z.
-14329, -2, -1
Find n such that -4*n**2 + 24772*n - 24768 = 0.
1, 6192
Determine s so that 4*s**3 + 53652*s**2 + 179559324*s - 2343347188 = 0.
-6713, 13
Solve -12455*u**2 - 174380*u - 140 = 0 for u.
-14, -2/2491
Factor b**4/5 - 32*b**3 + 4636*b**2/5.
b**2*(b - 122)*(b - 38)/5
Suppose o**3/2 + 227*o**2 - 2291*o/2 + 918 = 0. What is o?
-459, 1, 4
Let -4*k**4 + 34480*k**3 - 74183541*k**2 - 521251967*k + 595401032 = 0. Calculate k.
-8, 1, 8627/2
Suppose -29*s**5 + 2814*s**4 - 10885*s**3 + 372*s**2 = 0. Calculate s.
0, 1/29, 4, 93
Factor -4*t**2 - 1927*t + 482.
-(t + 482)*(4*t - 1)
Solve 2*t**4 + 68*t**3 + 626*t**2 + 816*t - 1512 = 0.
-18, -14, -3, 1
Factor t**3/6 - 239*t**2/6 + 472*t/3 - 470/3.
(t - 235)*(t - 2)**2/6
Factor -2*v**4/9 + 29636*v**3/3 - 88904*v**2/3 + 266708*v/9 - 9878.
-2*(v - 44451)*(v - 1)**3/9
Suppose -c**2 - 327*c - 650 = 0. Calculate c.
-325, -2
Suppose 5*y**4/6 - 1945*y**3/3 + 120740*y**2 + 6338105*y/3 - 13396765/6 = 0. Calculate y.
-17, 1, 397
Suppose -2*u**2/13 + 192388*u/13 - 384768/13 = 0. What is u?
2, 96192
Suppose -2*v**4/11 + 244*v**3/11 - 1186*v**2/11 + 1880*v/11 - 936/11 = 0. Calculate v.
1, 2, 117
Solve -2*y**4/13 - 32*y**3/13 - 116*y**2/13 - 48*y/13 + 198/13 = 0 for y.
-11, -3, 1
Factor -4*k**2 - 18200*k - 560356.
-4*(k + 31)*(k + 4519)
Determine k, given that -4*k**2 - 411112*k - 822208 = 0.
-102776, -2
Let -3*y**2 + 3102*y - 18504 = 0. What is y?
6, 1028
Determine u, given that -2*u**2/5 - 562*u/5 + 39576 = 0.
-485, 204
Let -54*v**5 - 846*v**4 - 6159*v**3/2 - 3495*v**2 - 2475*v/2 = 0. Calculate v.
-11, -3, -5/6, 0
What is u in -5*u**4/2 - 237*u**3/2 - 318*u**2 + 686*u + 888 = 0?
-222/5, -4, -1, 2
Find s, given that 2*s**5/3 - 54*s**4 + 929*s**3/6 + 95*s**2 - 627*s/2 + 117 = 0.
-3/2, 1/2, 1, 3, 78
Let u**4/3 + 13978*u**3/3 - u**2 - 41932*u/3 + 27956/3 = 0. Calculate u.
-13978, -2, 1
Factor 2*j**3 + 8264*j**2 - 16534*j + 8268.
2*(j - 1)**2*(j + 4134)
Let 2*k**4 - 1744*k**3 - 15810*k**2 - 42256*k - 28192 = 0. Calculate k.
-4, -1, 881
Factor -2*k**3/5 + 584*k**2/5 - 1162*k/5 + 116.
-2*(k - 290)*(k - 1)**2/5
Factor w**3/7 + 529*w**2/7 + 1055*w/7 + 527/7.
(w + 1)**2*(w + 527)/7
Suppose -3*b**2/2 + 1587*b/2 - 29340 = 0. What is b?
40, 489
Factor 5*z**2 - 81210*z + 329753205.
5*(z - 8121)**2
Suppose 4*y**2 + 2822096*y + 497764114576 = 0. Calculate y.
-352762
Factor 4*b**4 - 108*b**3 - 892*b**2 - 2004*b - 1224.
4*(b - 34)*(b + 1)*(b + 3)**2
Factor 3*u**3 + 27*u**2 - 495*u - 4719.
3*(u - 13)*(u + 11)**2
Factor -57*f**2/7 + 1668*f/7 + 3564/7.
-3*(f + 2)*(19*f - 594)/7
Suppose 2*x**3 - 17008*x**2 - 8*x + 68032 = 0. What is x?
-2, 2, 8504
Suppose x**5 - 36*x**4 + 126*x**3 + 76*x**2 - 375*x - 288 = 0. Calculate x.
-1, 3, 32
Factor -a**2/3 + 541*a/3 - 14240.
-(a - 445)*(a - 96)/3
Factor 3*i**3 + 1137*i**2 - 14115*i - 15249.
3*(i - 13)*(i + 1)*(i + 391)
Factor 4*h**4/5 - 12*h**3/5 - 184*h**2/5 + 192*h/5.
4*h*(h - 8)*(h - 1)*(h + 6)/5
Factor -4*r**3 - 8500*r**2 - 193288*r + 201792.
-4*(r - 1)*(r + 24)*(r + 2102)
Let 11*z**4/3 - 265*z**3/3 + 361*z**2 - 177*z - 630 = 0. What is z?
-1, 3, 210/11
Factor -2*o**3/7 + 70*o**2 - 274*o - 2410/7.
-2*(o - 241)*(o - 5)*(o + 1)/7
Factor 3*u**4/4 + 7305*u**3/4 - 21933*u**2/4 + 21939*u/4 - 3657/2.
3*(u - 1)**3*(u + 2438)/4
Solve -5*l**3 - 298760*l**2 + 1792695*l - 2689110 = 0 for l.
-59758, 3
Factor 10*n**2/13 - 88026*n/13 - 35212/13.
2*(n - 8803)*(5*n + 2)/13
Factor s**2 + 365*s + 12426.
(s + 38)*(s + 327)
Find n, given that -n**4/5 + 251*n**3/5 - 20577*n**2/5 + 557653*n/5 - 206998 = 0.
2, 55, 97
Suppose 4*y**5 + 176*y**4 + 1752*y**3 + 4144*y**2 - 6076*y = 0. Calculate y.
-31, -7, 0, 1
Find c, given that 5*c**3 - 32595*c**2 + 779275*c + 811875 = 0.
-1, 25, 6495
Suppose -2*p**2/5 + 76764*p/5 - 736588962/5 = 0. Calculate p.
19191
Let -2*k**3/5 - 1936*k**2/5 + 7768*k/5 - 7776/5 = 0. Calculate k.
-972, 2
What is o in -o**3/8 - 774*o**2 - 1188810*o + 28978992 = 0?
-3108, 24
Solve -2*g**5/13 + 112*g**4/13 + 24*g**3/13 - 48032*g**2/13 - 184832*g/13 = 0 for g.
-16, -4, 0, 38
Factor -2*i**3 - 340*i**2 - 10400*i.
-2*i*(i + 40)*(i + 130)
Factor -3*m**2 + 187494*m - 2929500003.
-3*(m - 31249)**2
Let -2*m**2 - 908244*m - 908242 = 0. Calculate m.
-454121, -1
Solve 2*h**2/9 - 6920*h/9 - 18496/3 = 0 for h.
-8, 3468
Find v, given that -4*v**2/3 - 228*v + 2160 = 0.
-180, 9
Factor -36*c**2 + 704*c - 2800.
-4*(c - 14)*(9*c - 50)
Factor -3*w**4 + 909*w**3 + 918*w**2 - 1824*w.
-3*w*(w - 304)*(w - 1)*(w + 2)
Determine l so that -2*l**4/7 - 134*l**3 - 936*l**2/7 = 0.
-468, -1, 0
Factor -c**3/6 + 11*c**2/2 + 7623*c/2 + 1108723/6.
-(c - 187)*(c + 77)**2/6
Determine f, given that 2*f**4 + 978*f**3 - 58384*f**2 + 793632*f + 852992 = 0.
-544, -1, 28
Solve 2*d**5/7 + 60*d**4/7 - 156*d**3 - 3616*d**2/7 - 3726*d/7 - 180 = 0 for d.
-42, -1, 15
Solve -4*i**2 - 792*i + 10080 = 0 for i.
-210, 12
Factor y**3 + 1359*y**2 - 2725*y - 4083.
(y - 3)*(y + 1)*(y + 1361)
Let -20*o**3 + 3564*o**2 - 21504*o + 30272 = 0. Calculate o.
11/5, 4, 172
Factor -3*q**3 - 1980*q**2 - 140751*q + 68501226.
-3*(q - 142)*(q + 401)**2
Factor 1024*g**3 - 128960*g**2 - 8063*g - 126.
(g - 126)*(32*g + 1)**2
Factor 3*s**3 - 426*s**2 - 909*s + 6480.
3*(s - 144)*(s - 3)*(s + 5)
Factor 4*p**2 - 5692*p + 11368.
4*(p - 1421)*(p - 2)
Determine m, given that m**5/3 - 25*m**4/2 + 707*m**3/6 - 311*m**2/2 + 299*m/6 = 0.
0, 1/2, 1, 13, 23
Suppose 3*u**3/7 - 282867*u**2/7 + 565722*u/7 = 0. What is u?
0, 2, 94287
Solve -v**5 - 1879*v**4 - 9357*v**3 + 24355*v**2 - 13118*v = 0 for v.
-1874, -7, 0, 1
Find x such that x**4/2 - 13*x**3 + 229*x**2/2 - 372*x + 270 = 0.
1, 6, 9, 10
Determine p, given that 6*p**4 + 6016*p**3 - 20168*p**2 - 48160*p + 128768 = 0.
-1006, -8/3, 2, 4
Determine o, given that -o**4/3 - 28*o**3 - 2117*o**2/3 - 4942*o + 12936 = 0.
-44, -21, 2
Suppose 4*y**5/3 + 194*y**4/3 + 2386*y**3/3 + 156*y**2 - 2880*y - 2304 = 0. Calculate y.
-24, -3/2, -1, 2
Solve d**3 - 331*d**2 + 1616*d + 4564 = 0.
-2, 7, 