+ 13458*p.
-2*p*(4*p - 6729)
Solve 5*s**3 + 10240*s**2 - 71925*s = 0 for s.
-2055, 0, 7
Determine n, given that -2*n**4/9 - 86*n**3/9 + 76*n**2/3 + 240*n = 0.
-45, -4, 0, 6
Let s**5/6 + 13562*s**4/3 - 54254*s**3/3 + 54256*s**2/3 = 0. Calculate s.
-27128, 0, 2
Solve -900*f**4 + 35160*f**3 - 305536*f**2 - 758912*f = 0 for f.
-2, 0, 308/15
Suppose -218*i**4/11 + 656*i**3/11 - 442*i**2/11 + 4*i/11 = 0. Calculate i.
0, 1/109, 1, 2
Factor -n**2/3 + 205*n/6 + 103/6.
-(n - 103)*(2*n + 1)/6
Solve 4*s**3 + 404*s**2 - 9764*s - 10164 = 0 for s.
-121, -1, 21
Factor 3*b**3/4 + 1089*b**2/4 + 35751*b/2 - 36846.
3*(b - 2)*(b + 89)*(b + 276)/4
Solve -444*u**3 - 84352*u**2 + 1520*u = 0 for u.
-190, 0, 2/111
Factor -2*x**2 + 548*x + 144870.
-2*(x - 439)*(x + 165)
Solve 2*y**3/9 + 112*y**2/9 - 6958*y/9 - 2356/3 = 0 for y.
-93, -1, 38
What is a in a**4/7 + 47*a**3/7 + 283*a**2/7 - 3075*a/7 + 5328/7 = 0?
-37, -16, 3
Factor -3*z**3 + 15426*z**2 - 291951*z - 307380.
-3*(z - 5123)*(z - 20)*(z + 1)
Factor 4*x**3 + 172*x**2 - 12580*x - 95116.
4*(x - 43)*(x + 7)*(x + 79)
Factor b**2 - 530*b - 531.
(b - 531)*(b + 1)
Determine x so that x**4 + 738*x**3 - 1479*x**2 + 740*x = 0.
-740, 0, 1
Solve -2*l**5/5 + 116*l**4/5 - 2276*l**3/5 + 16128*l**2/5 - 18522*l/5 - 37044/5 = 0.
-1, 3, 14, 21
Factor g**3/4 + 47*g**2/4 - 2869*g/4 + 30685/4.
(g - 19)**2*(g + 85)/4
Find b such that 225*b**5 + 98240*b**4 + 60835*b**3 - 89520*b**2 - 61060*b - 8720 = 0.
-436, -1, -2/5, -2/9, 1
Factor 2*q**2 - 2730*q - 766712.
2*(q - 1604)*(q + 239)
Solve -3*p**4/2 - 57*p**3 - 141*p**2/2 + 1425*p + 2700 = 0 for p.
-36, -5, -2, 5
Factor l**3 + 2991*l**2 + 8966*l + 5976.
(l + 1)*(l + 2)*(l + 2988)
Solve 2*x**2/5 - 188*x + 6482/5 = 0.
7, 463
Suppose -2*h**4 + 370*h**3 - 12848*h**2 + 153960*h - 604800 = 0. What is h?
10, 21, 144
Let 215306*h**3 - 58136*h**2 + 2600*h + 192 = 0. What is h?
-24/637, 2/13
Factor -34972*d**4 + 34984*d**3 - 12*d**2.
-4*d**2*(d - 1)*(8743*d - 3)
Factor -z**2/5 - 11*z/5 + 87882/5.
-(z - 291)*(z + 302)/5
Solve -5*p**5/3 + 234*p**4 + 860*p**3 + 1736*p**2/3 - 384*p = 0.
-2, 0, 2/5, 144
Determine k, given that 142*k**5 + 3836*k**4 + 23626*k**3 - 35452*k**2 - 56168*k - 784 = 0.
-14, -1, -1/71, 2
Factor 3*l**3/2 + 111*l**2/2 - 1383*l/2 + 1269/2.
3*(l - 9)*(l - 1)*(l + 47)/2
Find p, given that 2*p**2/7 + 408*p/7 - 7514/7 = 0.
-221, 17
Determine y, given that -2*y**3/7 + 652*y**2/7 - 27334*y/7 + 52076/7 = 0.
2, 47, 277
Factor h**2/5 - 295*h.
h*(h - 1475)/5
Factor -3*d**2 - 55614*d - 257743083.
-3*(d + 9269)**2
Find o, given that o**2 + 880*o + 1756 = 0.
-878, -2
Suppose 7*n**5 + 57*n**4/8 - 223*n**3/8 - 57*n**2/2 - n/2 = 0. What is n?
-2, -1, -1/56, 0, 2
What is w in w**2/3 + 4985*w/3 + 4982 = 0?
-4982, -3
Determine n so that 2*n**5 - 2568*n**4 + 20454*n**3 - 48512*n**2 + 30624*n = 0.
0, 1, 3, 4, 1276
What is f in 27*f**4 - 210942*f**3 + 412075191*f**2 - 274646484*f + 45770508 = 0?
1/3, 3906
Factor -16*u**2 - 28*u/9 + 172/9.
-4*(u - 1)*(36*u + 43)/9
Factor -x**3 + 397*x**2 - 12375*x + 11979.
-(x - 363)*(x - 33)*(x - 1)
Factor 4*s**4 + 584*s**3 - 5620*s**2 - 6200*s.
4*s*(s - 10)*(s + 1)*(s + 155)
Suppose a**4/3 - 5*a**3 - 184*a**2/3 + 220*a = 0. Calculate a.
-10, 0, 3, 22
Solve 4*f**4 - 4780*f**3 + 75792*f**2 - 396720*f + 679104 = 0.
4, 6, 1179
Factor y**3/7 - 180624*y**2/7 + 8156076717*y/7 + 16312875938/7.
(y - 90313)**2*(y + 2)/7
Determine d, given that 2*d**3/5 - 3516*d**2 - 70344*d/5 - 70352/5 = 0.
-2, 8794
Solve 3*j**5/7 + 11373*j**4/7 + 715581*j**3/7 - 11373*j**2/7 - 715584*j/7 = 0.
-3727, -64, -1, 0, 1
Factor 2*u**2 - 6552*u - 26240.
2*(u - 3280)*(u + 4)
Factor 2*i**3/7 + 4420*i**2/7 - 8*i/7 - 17680/7.
2*(i - 2)*(i + 2)*(i + 2210)/7
Find s, given that -120*s**5 + 8885*s**4 - 58570*s**3 + 132505*s**2 - 101900*s + 4020 = 0.
1/24, 2, 3, 67
Solve 4*j**4 + 648*j**3 + 10692*j**2 - 1411344*j = 0 for j.
-99, 0, 36
Find d, given that -34*d**3 - 491*d**2 + 1084*d - 559 = 0.
-559/34, 1
Suppose 14*k**5/5 + 386*k**4 - 22652*k**3/5 + 87308*k**2/5 - 26730*k + 13410 = 0. Calculate k.
-149, 1, 15/7, 3, 5
Factor 2*b**3 + 2792*b**2 + 33288*b + 99648.
2*(b + 6)**2*(b + 1384)
Factor -5*c**2/6 - 575*c/2 + 3490/3.
-5*(c - 4)*(c + 349)/6
Factor -5*v**2 + 15920*v - 15915.
-5*(v - 3183)*(v - 1)
Solve 2*s**5 - 36844*s**4 + 169611316*s**3 + 679292896*s**2 - 1187942646*s - 1697587380 = 0.
-5, -1, 2, 9213
Determine p, given that -2*p**4 + 4914*p**3 - 3001152*p**2 - 21249536*p = 0.
-7, 0, 1232
Let 2*x**3 + 2369798*x**2 + 701991635200*x - 701994005000 = 0. Calculate x.
-592450, 1
Determine z, given that -2*z**3/19 + 110*z**2/19 + 6736*z/19 + 6624/19 = 0.
-36, -1, 92
Determine y, given that 2*y**2 + 8640*y - 322418 = 0.
-4357, 37
Factor -r**3 - 55126*r**2 - 760104704*r - 10630663904.
-(r + 14)*(r + 27556)**2
Factor -21*z**2/2 - 18300*z + 20928.
-3*(z + 1744)*(7*z - 8)/2
What is v in -32*v**4 - 51212*v**3 - 223616*v**2 - 280944*v - 76608 = 0?
-1596, -2, -3/8
Solve -18818*p**4/11 - 74108*p**3/11 + 98728*p**2/11 - 5892*p/11 + 90/11 = 0 for p.
-5, 3/97, 1
Solve -340*u**2 - 1724*u - 120 = 0.
-5, -6/85
Factor 23117*s**2 + 369873*s/2 + 4.
(s + 8)*(46234*s + 1)/2
Solve -l**2/9 + 818*l/3 - 4904/9 = 0 for l.
2, 2452
Factor -4*c**2 - 25976*c - 25972.
-4*(c + 1)*(c + 6493)
Solve 3348*r**4/13 - 23382*r**3/13 + 54306*r**2/13 - 41650*r/13 - 686/13 = 0 for r.
-1/62, 7/3
Find k such that -3*k**5/7 - 522*k**4/7 - 219*k**3 + 1062*k**2/7 + 6180*k/7 + 4104/7 = 0.
-171, -2, -1, 2
Factor 2*o**2/13 + 11952*o/13 + 17856288/13.
2*(o + 2988)**2/13
Suppose 122*f**2/7 - 1696*f + 15360/7 = 0. Calculate f.
80/61, 96
Solve -t**5 + 15110*t**4 + 30223*t**3 + 15112*t**2 = 0 for t.
-1, 0, 15112
Factor -2*g**3 + 26520*g**2 - 132558*g + 106040.
-2*(g - 13255)*(g - 4)*(g - 1)
Determine h so that -45*h**5 + 94380*h**4 - 877055*h**3 + 197980*h**2 + 793620*h - 375840 = 0.
-1, 2/3, 9, 2088
Find t, given that 16*t**2 - 924*t + 12528 = 0.
87/4, 36
Suppose 2*i**2/3 + 7348*i + 352192/3 = 0. What is i?
-11006, -16
Factor 4*p**2 - 65568*p + 268697664.
4*(p - 8196)**2
Let 5*n**5/6 - 3101*n**4/6 - 835*n**3/2 + 13025*n**2/6 + 4970*n/3 - 414 = 0. Calculate n.
-2, -1, 1/5, 2, 621
Determine q so that q**5/3 + 16*q**4/3 - 247*q**3/3 - 550*q**2/3 = 0.
-25, -2, 0, 11
Factor s**4/7 + 34*s**3 - 2979*s**2/7 + 764*s + 3500.
(s - 7)**2*(s + 2)*(s + 250)/7
Suppose -3*l**2/7 - 8472*l/7 + 42435/7 = 0. Calculate l.
-2829, 5
Factor 1343281*z**2 - 1729228*z + 556516.
(1159*z - 746)**2
Find v, given that -2*v**4/17 + 4572*v**3/17 + 2*v**2/17 - 4572*v/17 = 0.
-1, 0, 1, 2286
Solve -4*r**5/3 + 179*r**4/3 - 580*r**3 + 2178*r**2 - 3312*r + 1485 = 0 for r.
3/4, 3, 5, 33
Solve 4*q**4 - 15868*q**3 + 268984*q**2 - 1517520*q + 2844000 = 0 for q.
5, 6, 3950
What is s in 20*s**3 + 256376*s**2 - 307676*s + 51280 = 0?
-12820, 1/5, 1
Factor 2*w**4 + 90*w**3 + 486*w**2 + 710*w + 312.
2*(w + 1)**2*(w + 4)*(w + 39)
What is j in -3*j**2 - 77696*j - 51796 = 0?
-25898, -2/3
Factor -h**4/4 - 279*h**3/4 - 24495*h**2/4 - 648025*h/4.
-h*(h + 49)*(h + 115)**2/4
Let -105*v**5 + 19325*v**4 - 889640*v**3 + 42320*v**2 = 0. Calculate v.
0, 1/21, 92
Determine j so that 3*j**2 + 106263*j - 106266 = 0.
-35422, 1
Factor 3*w**2 + 46746*w + 182099043.
3*(w + 7791)**2
Solve 2*w**2/7 - 666*w/7 - 980 = 0.
-10, 343
Suppose -32*a**3 + 3536*a**2 - 90226*a - 419528 = 0. What is a?
-4, 229/4
Factor -2*f**3 - 10890*f**2 + 87216*f - 174496.
-2*(f - 4)**2*(f + 5453)
Suppose -a**2/4 - 49*a/4 + 30213 = 0. What is a?
-373, 324
Factor z**2 + 14186*z.
z*(z + 14186)
Let 3*m**5 - 255*m**4 + 3498*m**3 + 82254*m**2 + 272979*m + 194481 = 0. Calculate m.
-9, -3, -1, 49
What is s in -s**3/5 - 11*s**2 + 125*s - 325 = 0?
-65, 5
Factor -s**3/12 - 536*s**2 - 3445407*s/4 + 10349089/6.
-(s - 2)*(s + 3217)**2/12
Suppose -5*g**5 + 145*g**4 - 560*g**3 - 1020*g**2 + 1440*g = 0. Calculate g.
-2, 0, 1, 6, 24
What is o in o**5/7 - 4902*o**4/7 + 4883*o**3/7 + 12610*o**2 - 254892*o/7 + 196040/7 = 0?
-5, 2, 4901
What is u in -3*u**4/2 - 85740*u**3 - 1225138851*u**2 + 2450877912*u + 7351862049/2 = 0?
-28581, -1, 3
Determine g, given that g**4/4 - 431*g**3 + 261741*g**2/4 - 259157*g/2 + 64574 = 0.
1, 166, 1556
Factor -8*z**2 + 195010*z + 146262.
-2*(z - 24377)*(4*z + 3)
Solve -f**5 + 381*f**4/4 + 376*f**3 - 1881*f**2/4 = 0 for f.
-19/4, 0, 1, 99
What is w in