 = 0. What is w?
176168
Factor 12*w**2/5 + 8433*w/5 - 2109/5.
3*(w + 703)*(4*w - 1)/5
What is u in -4*u**5/7 - 2252*u**4/7 + 6884*u**3/7 + 52204*u**2/7 + 74768*u/7 + 4528 = 0?
-566, -2, -1, 7
Solve -g**3 + 3304*g**2 - 13204*g + 13200 = 0 for g.
2, 3300
Solve -14*d**2 + 38166*d - 5452 = 0.
1/7, 2726
What is r in r**5 + 1131*r**4 + 320353*r**3 + 316965*r**2 - 638450*r = 0?
-565, -2, 0, 1
Factor n**2/2 - 49*n/2.
n*(n - 49)/2
Factor -4*g**4 - 52*g**3 + 608*g**2 - 1344*g.
-4*g*(g - 4)**2*(g + 21)
Factor -2*l**3/11 - 6070*l**2/11 - 4626784*l/11 - 32090744/11.
-2*(l + 7)*(l + 1514)**2/11
Factor -4*y**2/3 + 698872*y/3 + 465920.
-4*(y - 174720)*(y + 2)/3
Find d, given that -5*d**5/3 - 6375*d**4 - 6162680*d**3 - 382131320*d**2/3 - 724154800*d - 602934000 = 0.
-1902, -10, -1
Find u such that -3*u**2/4 - 45555*u/2 + 45558 = 0.
-30372, 2
Factor -z**2/3 - 15*z + 4752.
-(z - 99)*(z + 144)/3
Suppose 14*z**4/3 - 58*z**3/3 - 302*z**2/3 + 106*z/3 + 112 = 0. What is z?
-3, -1, 8/7, 7
Factor -4*l**3 - 8496*l**2 + 989184*l - 28048384.
-4*(l - 56)**2*(l + 2236)
Let 2*i**4 + 440*i**3 - 466*i**2 - 5304*i = 0. What is i?
-221, -3, 0, 4
Determine l so that 3*l**3 + 7383*l**2 + 36858*l + 44208 = 0.
-2456, -3, -2
Factor -1538*j**4/7 - 10730*j**3/7 + 36*j**2.
-2*j**2*(j + 7)*(769*j - 18)/7
Factor 4*k**3 + 2556*k**2 + 336584*k - 683424.
4*(k - 2)*(k + 189)*(k + 452)
Let -s**5 + 12*s**4 + 50*s**3 - 72*s**2 - 49*s + 60 = 0. Calculate s.
-4, -1, 1, 15
Suppose -u**5/8 - 205*u**4/8 + 833*u**3/8 - 631*u**2/8 - 104*u + 209/2 = 0. Calculate u.
-209, -1, 1, 2
What is a in -2*a**2/9 - 45200*a - 2298420000 = 0?
-101700
Suppose -p**4 - 78*p**3 - 559*p**2 + 78*p + 560 = 0. Calculate p.
-70, -8, -1, 1
Determine k, given that 9*k**4/7 - 1248*k**3/7 + 34107*k**2/7 - 107148*k/7 - 39552/7 = 0.
-1/3, 4, 32, 103
Solve 3*q**3/7 - 288*q**2/7 - 19035*q/7 = 0.
-45, 0, 141
Solve b**4/8 - 2*b**3 - 17*b**2/8 = 0.
-1, 0, 17
Factor -4*l**2 - 63136*l - 820092.
-4*(l + 13)*(l + 15771)
Determine o, given that -o**2/2 - 13641*o - 186076881/2 = 0.
-13641
Factor -r**4 + 251*r**3 + 6352*r**2 - 13700*r.
-r*(r - 274)*(r - 2)*(r + 25)
Factor 45*g**2 - 33200*g - 7380.
5*(g - 738)*(9*g + 2)
Find c, given that -2*c**5 + 522*c**4 + 3234*c**3 - 8026*c**2 + 4272*c = 0.
-8, 0, 1, 267
Find q, given that 3*q**2/8 - 1561401*q/4 + 812657694267/8 = 0.
520467
Factor 2*i**4 - 6948*i**3 + 62424*i**2 - 187164*i + 187110.
2*(i - 3465)*(i - 3)**3
Let -3*l**4 - 90*l**3 - 777*l**2 - 1746*l - 1056 = 0. What is l?
-16, -11, -2, -1
Factor -25*n**3/2 - 252365*n**2/2 + 100949*n/2 - 10095/2.
-(n + 10095)*(5*n - 1)**2/2
Factor 3*k**4 + 705*k**3 + 28656*k**2 + 323136*k.
3*k*(k + 24)**2*(k + 187)
Solve 2*k**3/3 + 608*k**2/3 + 3642*k + 9120 = 0.
-285, -16, -3
Factor -2*b**4 - 32*b**3 + 310*b**2 - 276*b.
-2*b*(b - 6)*(b - 1)*(b + 23)
Find m, given that m**4 + 49*m**3 + 349*m**2 - 4809*m + 4410 = 0.
-35, -21, 1, 6
Factor 4*b**4/3 + 4448*b**3/3 + 1200448*b**2/3 - 6689792*b + 27144192.
4*(b - 8)**2*(b + 564)**2/3
Find d, given that -4*d**2 + 1940*d - 7696 = 0.
4, 481
Solve -4*k**4/7 + 52*k**3/7 + 13940*k**2/7 - 375492*k/7 - 389376/7 = 0 for k.
-64, -1, 39
Find b such that -2*b**3/3 + 4540*b**2/3 + 22778*b/3 - 63700/3 = 0.
-7, 2, 2275
Suppose -d**5/4 - 9981*d**4/4 + 7488*d**3 - d**2 - 9984*d = 0. Calculate d.
-9984, -1, 0, 2
Find f such that 2*f**2/9 - 2702*f/3 + 8104/9 = 0.
1, 4052
Solve -4*k**5/7 + 92*k**4/7 + 372*k**3/7 - 3980*k**2/7 - 9200*k/7 + 30000/7 = 0 for k.
-5, 2, 6, 25
Factor -2*x**2/3 + 50230*x.
-2*x*(x - 75345)/3
Factor -2*g**3/3 + 297400*g**2 + 1189608*g + 3568832/3.
-2*(g - 446104)*(g + 2)**2/3
Find m such that -3*m**4/7 + 15*m**3/7 - 12*m**2/7 = 0.
0, 1, 4
Factor 245*p**3 - 617260*p**2 - 352780*p - 50400.
5*(p - 2520)*(7*p + 2)**2
Let -t**3/7 - 248*t**2/7 + 255*t/7 + 1494/7 = 0. Calculate t.
-249, -2, 3
Let -2*d**5/3 - 28*d**4 + 6424*d**3 - 597040*d**2/3 + 110976*d + 41505024 = 0. Calculate d.
-132, -12, 34
Let 8*v**3 + 604*v**2 - 62948*v - 31624 = 0. Calculate v.
-134, -1/2, 59
Factor 5*o**4 + 177360*o**3 + 2097104640*o**2 + 8265388421120*o.
5*o*(o + 11824)**3
Let 8*y**5/9 + 1574*y**4/9 + 106772*y**3/9 + 2923390*y**2/9 + 30438568*y/9 + 63729688/9 = 0. Calculate y.
-74, -23, -11/4
Determine q so that -2*q**2/7 + 793120*q/7 - 78629916800/7 = 0.
198280
Suppose -k**2/10 + 39*k/10 - 36 = 0. What is k?
15, 24
Suppose 3*x**5/4 - 81*x**4/4 + 285*x**3/4 - 195*x**2/4 - 72*x + 69 = 0. What is x?
-1, 1, 2, 23
Factor 4*x**2 - 9896*x - 69468.
4*(x - 2481)*(x + 7)
Let -2*f**4 - 608*f**3 - 1192*f**2 + 4832*f = 0. Calculate f.
-302, -4, 0, 2
What is w in -27*w**4/2 - 3597*w**3/4 + 5109*w**2/4 + 153*w = 0?
-68, -1/9, 0, 3/2
Factor -4*z**4 - 40*z**3 + 604*z**2 - 1520*z.
-4*z*(z - 5)*(z - 4)*(z + 19)
Let 3*q**3/5 - 10671*q**2/5 + 42648*q/5 - 42636/5 = 0. Calculate q.
2, 3553
Factor 35*c**3 + 2445*c**2 - 7950*c + 5840.
5*(c - 2)*(c + 73)*(7*c - 8)
Suppose 2*a**2/13 + 9246*a/13 - 9248/13 = 0. Calculate a.
-4624, 1
Suppose -2*x**4 + 2*x**3 + 2744*x**2 + 2728*x - 5472 = 0. Calculate x.
-36, -2, 1, 38
Determine g so that -g**4 - 232*g**3/3 = 0.
-232/3, 0
Let 2*o**5/5 + 118*o**4/5 - 232*o**3 - 968*o**2 + 68448*o/5 - 154368/5 = 0. Calculate o.
-67, -8, 4, 6
Let -c**2 + 59798*c - 893950201 = 0. Calculate c.
29899
Suppose 3*h**4 - 324*h**3 - 7728*h**2 + 1186704*h - 2339952 = 0. What is h?
-58, 2, 82
Factor 10*q**3 + 6774*q**2 - 10872*q - 5432.
2*(q - 2)*(q + 679)*(5*q + 2)
Factor -2*q**5/5 - 92*q**4/5 + 624*q**3/5.
-2*q**3*(q - 6)*(q + 52)/5
Suppose 2*p**3/17 + 3340*p**2/17 + 53056*p/17 + 211712/17 = 0. Calculate p.
-1654, -8
Suppose -5*p**5 - 40305*p**4 - 322180*p**3 - 483020*p**2 + 1288800*p + 2576960 = 0. What is p?
-8053, -4, -2, 2
Factor -2*m**2/19 + 27206*m/19 + 136080/19.
-2*(m - 13608)*(m + 5)/19
Suppose -o**3 + 2624*o**2 - 1713445*o - 10375350 = 0. What is o?
-6, 1315
Factor -4*p**2 + 332748*p.
-4*p*(p - 83187)
Factor q**2/5 - 1901*q/5 - 5712/5.
(q - 1904)*(q + 3)/5
What is y in -y**2/3 + 21110*y/3 + 63357 = 0?
-9, 21119
Factor 3*f**2/2 - 230103*f/8 + 57525/8.
3*(f - 19175)*(4*f - 1)/8
Let 21*m**5 - 975*m**4 + 11355*m**3 - 31065*m**2 + 27684*m - 7020 = 0. Calculate m.
3/7, 1, 2, 13, 30
Determine i so that -5*i**3 - 6885*i**2 - 27460*i = 0.
-1373, -4, 0
Find k such that 2*k**3/9 - 620*k**2/9 + 1408*k = 0.
0, 22, 288
Find l such that -4*l**5/7 + 684*l**4/7 - 29564*l**3/7 + 26164*l**2/7 + 118320*l/7 - 115600/7 = 0.
-2, 1, 2, 85
Factor -3*d**3 + 14456*d**2 - 17419479*d + 11606562.
-(d - 2409)**2*(3*d - 2)
Factor 3*p**3 - 24546*p**2 - 48*p + 392736.
3*(p - 8182)*(p - 4)*(p + 4)
Suppose -405*u**4 + 805*u**3 + 2845*u**2 + 1655*u + 20 = 0. What is u?
-1, -1/81, 4
Determine a, given that -5*a**4 - 760*a**3 - 1505*a**2 - 750*a = 0.
-150, -1, 0
Factor 2*a**2 + 6632*a + 6630.
2*(a + 1)*(a + 3315)
Factor o**4/2 + 6621*o**3/2 + 5481360*o**2 + 5478050*o.
o*(o + 1)*(o + 3310)**2/2
Factor a**5/2 - 8304*a**4 - 33219*a**3/2 - 8305*a**2.
a**2*(a - 16610)*(a + 1)**2/2
Solve -3*q**2 - 3258*q + 39528 = 0.
-1098, 12
Determine w, given that -2*w**5 + 28*w**4 - 68*w**3 + 16*w**2 + 70*w - 44 = 0.
-1, 1, 2, 11
Factor -4*f**3 + 536*f**2 + 53868*f.
-4*f*(f - 201)*(f + 67)
Factor 4*g**3 + 5852*g**2 - 82712*g.
4*g*(g - 14)*(g + 1477)
Factor -9*o**2/4 - 6919*o/4 - 96541/2.
-(o + 29)*(9*o + 6658)/4
Factor 4*y**3 - 11908*y**2 + 224808*y.
4*y*(y - 2958)*(y - 19)
Factor 9*r**3 - 672*r**2 + 4665*r - 2814.
3*(r - 67)*(r - 7)*(3*r - 2)
Find c, given that -51684*c**2/5 + 103389*c/5 - 42/5 = 0.
7/17228, 2
Factor q**3 - 158*q**2 - 501*q + 2898.
(q - 161)*(q - 3)*(q + 6)
Find y, given that -y**3/9 - 30250*y**2/9 - 228705113*y/9 + 915304516/9 = 0.
-15127, 4
Find j, given that -625*j**2 + 26865*j + 430 = 0.
-2/125, 43
Suppose -t**3 + 204*t**2 + 20292*t + 77840 = 0. Calculate t.
-70, -4, 278
Solve -4*w**5/5 + 8672*w**4 - 117375448*w**3/5 - 141084768*w**2 - 1058721444*w/5 = 0.
-3, 0, 5423
Suppose -2*m**5/3 - 34*m**4/3 - 130*m**3/3 + 34*m**2/3 + 44*m = 0. What is m?
-11, -6, -1, 0, 1
Factor 5*d**2 - 925*d - 9750.
5*(d - 195)*(d + 10)
What is f in 3*f**4 + 1422*f**3/5 - 1557*f**2 + 300*f = 0?
-100, 0, 1/5, 5
Determine s so that -168*s**3 - 16710*s**2 - 24099*s + 882 = 0.
-98, -3/2, 1/28
Factor -3*o**3/5 - 387*o**2 - 301104*o/5 + 3550272/5.
-3*(o - 11)*(o + 328)**2/5
Let 2*r**5 - 62*r**4 - 306