- 62658*u**2 + 361660*u + 424200 = 0?
-202, -21, -1, 10
Factor 42*w**2 + 411*w + 369.
3*(w + 1)*(14*w + 123)
Suppose 3*y**4 - 5496*y**3 + 27426*y**2 - 38376*y + 16443 = 0. What is y?
1, 3, 1827
Factor 3*b**3 + 72939*b**2 - 2628720*b + 23667228.
3*(b - 18)**2*(b + 24349)
Determine k so that 2*k**2/3 + 31738*k/3 - 10580 = 0.
-15870, 1
Factor -v**3/4 - 57*v**2 + 177423*v/4 + 88825/2.
-(v - 323)*(v + 1)*(v + 550)/4
Factor -c**4 - 6*c**3 + 831*c**2 + 11144*c + 37632.
-(c - 32)*(c + 7)**2*(c + 24)
Factor 3*k**3 + 8961*k**2 - 764430*k.
3*k*(k - 83)*(k + 3070)
Solve -62*o**4/9 + 2972092*o**3/9 - 5276777128*o**2 + 252951843871172*o/9 + 8159786317478/9 = 0 for o.
-1/31, 15979
Solve 55*y**2 + 555*y = 0.
-111/11, 0
Find p, given that 403*p**3/2 + 3221*p**2/4 + 803*p - 3 = 0.
-2, 3/806
Let 3*d**2/2 - 699*d/2 + 16683 = 0. Calculate d.
67, 166
Factor -r**3 + 35642*r**2 - 317374081*r - 3813623148.
-(r - 17827)**2*(r + 12)
Solve 160*v**5/3 - 812*v**4/3 + 488*v**3 - 1084*v**2/3 + 224*v/3 + 16 = 0 for v.
-1/8, 1, 6/5, 2
Let -2*w**4/5 + 96*w**3 - 26784*w**2/5 - 246016*w/5 = 0. What is w?
-8, 0, 124
What is l in 2*l**5 - 3880*l**4 + 15486*l**3 + 3880*l**2 - 15488*l = 0?
-1, 0, 1, 4, 1936
Solve u**4 - 131*u**3 + 3828*u**2 = 0 for u.
0, 44, 87
Factor 3*n**4 + 636*n**3 + 1881*n**2.
3*n**2*(n + 3)*(n + 209)
Factor -s**3 - 2257*s**2 - 75871*s - 642447.
-(s + 17)**2*(s + 2223)
Solve -3*s**4/2 + 24*s**3 - 123*s**2/2 - 231*s = 0 for s.
-2, 0, 7, 11
Determine j so that 4*j**2 - 328*j + 6720 = 0.
40, 42
Find o, given that -900601*o**2/9 - 7592*o/9 - 16/9 = 0.
-4/949
Find m such that 5*m**4 - 460*m**3 - 2335*m**2 + 770490*m - 3016440 = 0.
-38, 4, 63
Factor 2*o**3 - 738*o**2 + 7896*o - 7160.
2*(o - 358)*(o - 10)*(o - 1)
Suppose -5*q**2 + 8540*q - 84900 = 0. What is q?
10, 1698
Find r, given that -3*r**3/2 - 111*r**2 - 4737*r/2 - 11655 = 0.
-37, -30, -7
Find w, given that -2*w**3/7 + 242*w**2/7 + 11362*w/7 + 114798/7 = 0.
-19, 159
Let 10*w**3 + 494*w**2 - 46364*w - 18624 = 0. What is w?
-97, -2/5, 48
Factor 4*t**2 + 8368*t + 4376464.
4*(t + 1046)**2
Find q such that -4*q**2/9 - 452*q/9 - 1496/3 = 0.
-102, -11
Determine o so that -2*o**2/23 - 474540*o/23 - 41264 = 0.
-237268, -2
Factor -4*w**4 + 89880*w**3 - 504631188*w**2 - 3030214320*w - 4546535184.
-4*(w - 11238)**2*(w + 3)**2
Find c such that -2*c**4/5 + 142*c**3/5 + 28802*c**2/5 + 28658*c/5 = 0.
-89, -1, 0, 161
Determine c so that -50*c**3/7 + 11150640*c**2/7 - 8920488*c/7 + 1784096/7 = 0.
2/5, 223012
Determine a so that a**4/2 - 397*a**3/2 - 1410*a**2 - 1624*a + 3232 = 0.
-4, 1, 404
Solve -2*f**2/5 + 21156*f/5 + 169376/5 = 0 for f.
-8, 10586
Let -4*a**3/3 + 572*a**2/3 + 144104*a/3 - 48224 = 0. What is a?
-132, 1, 274
Suppose -16*q**2 + 354*q - 950 = 0. Calculate q.
25/8, 19
Factor -304*a**3/5 - 2*a**2.
-2*a**2*(152*a + 5)/5
Suppose 3*s**2 + 1653*s - 8340 = 0. Calculate s.
-556, 5
Factor 4*c**4 + 424*c**3 + 4924*c**2 + 8184*c.
4*c*(c + 2)*(c + 11)*(c + 93)
Factor -2*t**2 + 70678*t - 212016.
-2*(t - 35336)*(t - 3)
Solve 4*y**3 + 25524*y**2 = 0.
-6381, 0
Solve 2*o**3/7 + 4100*o**2/7 - 4106*o/7 - 1172 = 0 for o.
-2051, -1, 2
Factor b**3 - 23063*b**2 + 132963960*b + 132987024.
(b - 11532)**2*(b + 1)
Find r such that 3*r**3 + 729*r**2 + 1446*r = 0.
-241, -2, 0
Factor -2*w**4 + 51*w**3 - 33*w**2 - 416*w + 588.
-(w - 2)**2*(w + 3)*(2*w - 49)
Determine u so that u**5/2 - 102*u**4 - 747*u**3 + 1798*u**2 - 1899*u/2 = 0.
-9, 0, 1, 211
Factor -q**4/4 - 11*q**3 + 847*q**2 - 10648*q.
-q*(q - 22)**2*(q + 88)/4
Solve -z**4 + 391*z**3 + 316920*z**2 + 55195456*z + 2974501376 = 0 for z.
-152, 847
Find p, given that -32*p**4 + 892*p**3 + 30120*p**2 + 237456*p + 574560 = 0.
-10, -6, 399/8
Determine l so that l**2/7 + 4287*l/7 + 8570/7 = 0.
-4285, -2
Suppose 52*n**4/5 + 1464*n**3/5 - 87292*n**2/5 - 102384*n/5 - 2736 = 0. What is n?
-57, -1, -2/13, 30
Suppose m**2/2 - 6711*m + 45037521/2 = 0. Calculate m.
6711
Solve -12*x**5 + 476*x**4 + 384*x**3 - 53024*x**2 - 188736*x + 149184 = 0 for x.
-6, 2/3, 14, 37
Factor 2*v**3/3 + 24*v**2 + 130*v/3 - 68.
2*(v - 1)*(v + 3)*(v + 34)/3
Factor 2*i**4/9 - 94*i**3/9 - 772*i**2/9 + 96*i.
2*i*(i - 54)*(i - 1)*(i + 8)/9
Suppose -d**4/5 + 654*d**3/5 - 3897*d**2/5 + 5836*d/5 - 2592/5 = 0. Calculate d.
1, 4, 648
Let -3*z**4 - 111*z**3 - 1125*z**2 - 3777*z - 2760 = 0. Calculate z.
-23, -8, -5, -1
Factor f**4/5 - 21*f**3/5 + 18*f**2/5 + 8*f.
f*(f - 20)*(f - 2)*(f + 1)/5
Suppose -5973*x**3 - 59724*x**2 - 149265*x + 150 = 0. What is x?
-5, 2/1991
Let 2*y**2 - 2209480*y + 610225233800 = 0. What is y?
552370
Factor x**3 - 29794*x**2 - x + 29794.
(x - 29794)*(x - 1)*(x + 1)
Find w, given that -2*w**3/5 - 68*w**2/5 + 192*w/5 + 16128/5 = 0.
-24, 14
Let 3*c**3 - 1680*c**2 + 13221*c + 14904 = 0. Calculate c.
-1, 9, 552
Factor -841*n**3 - 115565*n**2 - 47712*n - 4932.
-(n + 137)*(29*n + 6)**2
Let -o**5 - 14022*o**4 - 49196169*o**3 - 294798532*o**2 - 442064640*o - 196448256 = 0. What is o?
-7008, -4, -1
Suppose -3*t**2/2 + 207*t/2 + 58515 = 0. Calculate t.
-166, 235
Solve 4*s**4 - 188*s**3 - 1984*s**2 - 1792*s = 0 for s.
-8, -1, 0, 56
Determine v so that -5*v**3 - 179*v**2/4 + 23*v + 488 = 0.
-8, -4, 61/20
Solve -x**3 + 299245*x**2 - 22387640600*x + 111930722000 = 0 for x.
5, 149620
What is b in 5*b**3 + 295*b**2 + 3590*b - 8400 = 0?
-40, -21, 2
Factor 7*k**3/10 + 10897*k**2/10 - 1557*k/5.
k*(k + 1557)*(7*k - 2)/10
Find k such that k**5 + k**4/6 - 7*k**3 - 7*k**2/2 + 38*k/3 + 10 = 0.
-5/3, -3/2, -1, 2
Let 5*q**3 + 1470*q**2 - 24725*q + 23250 = 0. Calculate q.
-310, 1, 15
Factor -3*y**2 - 44535*y.
-3*y*(y + 14845)
Factor 3*j**2/7 + 3494310*j/7 + 1017516864675/7.
3*(j + 582385)**2/7
Suppose 2*r**4 + 270*r**3 + 7190*r**2 - 73710*r + 66248 = 0. Calculate r.
-91, -52, 1, 7
Find y, given that -5*y**5 + 110*y**4 + 645*y**3 + 830*y**2 - 500*y - 1080 = 0.
-2, 1, 27
Factor 3*t**3 - 121422*t**2 - 242853*t - 121428.
3*(t - 40476)*(t + 1)**2
Suppose -289*z**4 - 606*z**3 - 56*z**2 = 0. Calculate z.
-2, -28/289, 0
Solve 4*j**2 + 1502280*j + 141052824900 = 0 for j.
-187785
Determine a so that -2*a**4 + 312*a**3 + 2916*a**2 + 8856*a + 8910 = 0.
-3, 165
Find h such that h**5/2 + 29*h**4/2 + 211*h**3/2 + 363*h**2/2 - 396*h - 1026 = 0.
-19, -6, -3, 2
Factor -5*a**3/3 - 20*a**2 - 100*a/3 + 160.
-5*(a - 2)*(a + 6)*(a + 8)/3
Factor 4*r**3 + 40*r**2 + 52*r - 96.
4*(r - 1)*(r + 3)*(r + 8)
Suppose -5*c**2 + 84650*c + 169320 = 0. What is c?
-2, 16932
Determine r, given that 3*r**2 + 1771680*r + 261570835200 = 0.
-295280
Factor -v**5/6 + 8*v**4/3 + 160*v**3.
-v**3*(v - 40)*(v + 24)/6
Factor -5*k**2 - 4112920*k - 845805546320.
-5*(k + 411292)**2
Factor 3*w**2 + 55206*w - 1658880.
3*(w - 30)*(w + 18432)
Factor 2*d**3/5 + 1422*d**2 + 6669264*d/5 + 613689656/5.
2*(d + 103)*(d + 1726)**2/5
Let 3*t**4 + 15639*t**3 - 78273*t**2 - 15639*t + 78270 = 0. What is t?
-5218, -1, 1, 5
What is o in -2*o**3/17 + 1440*o**2/17 - 11264*o = 0?
0, 176, 544
What is t in 2*t**2 - 370*t + 13992 = 0?
53, 132
Factor 5*s**2 - 1410*s - 51975.
5*(s - 315)*(s + 33)
Factor 58*k**3 + 1132*k**2 + 6448*k + 8832.
2*(k + 2)*(k + 8)*(29*k + 276)
Find a, given that 2*a**2/7 - 296*a/7 - 18330/7 = 0.
-47, 195
Suppose -208*o**4/3 - 236*o**3 + 988*o**2 - 1712*o/3 - 112 = 0. What is o?
-6, -2/13, 1, 7/4
Factor -v**2/5 + 2038*v/5 - 97461/5.
-(v - 1989)*(v - 49)/5
Let 2*h**5 - 198*h**4 - 2824*h**3 + 15360*h**2 + 262400*h + 444000 = 0. What is h?
-10, -2, 10, 111
Suppose -t**2 + 5006*t = 0. Calculate t.
0, 5006
Factor 3*v**2 - 363*v + 3024.
3*(v - 112)*(v - 9)
What is v in 65*v**4 - 1165*v**3 + 3745*v**2 - 2435*v - 210 = 0?
-1/13, 1, 3, 14
Let p**3/5 + 59943*p**2/5 - 299736*p/5 + 239792/5 = 0. What is p?
-59948, 1, 4
Determine g, given that 3*g**2/2 - 2337*g + 177723/2 = 0.
39, 1519
Factor 5*y**3/6 - 1475*y**2/3 + 43045*y/6 + 23000/3.
5*(y - 575)*(y - 16)*(y + 1)/6
Let 24*p**5/11 - 950*p**4/11 + 364*p**3 - 5454*p**2/11 + 2248*p/11 - 280/11 = 0. Calculate p.
1/4, 1/3, 2, 35
Factor 10*l**3 + 609*l**2 + 12204*l + 80676.
(l + 18)**2*(10*l + 249)
Factor -s**4/2 - 4395*s**3 - 19333597*s**2/2 - 38614470*s - 38596898.
-(s + 2)**2*(s + 4393)**2/2
Solve -7*h**2/4 + 173*h/4 + 117/2 = 0 for h.
-9/7, 26
Factor 6*t**2 + 3705*t.
3*t*(2*t + 1235)
Factor -2*i**3/3 + 6410*i**2/3 - 5132806*i/3 - 5139218/3.
-2*(i - 