+ 2438)*(5*t - 6)/2
Suppose -2*a**4/11 - 3084*a**3/11 - 60952*a**2/11 - 109584*a/11 = 0. What is a?
-1522, -18, -2, 0
Factor -2*v**2/5 - 3464728*v/5 - 1500542514248/5.
-2*(v + 866182)**2/5
Factor i**4/7 - 18490*i**3/7 + 85506997*i**2/7 - 341806140*i/7 + 341732196/7.
(i - 9243)**2*(i - 2)**2/7
Factor -4*r**3 + 7964*r**2 - 31804*r + 23844.
-4*(r - 1987)*(r - 3)*(r - 1)
Suppose -m**3/6 + 757*m**2/6 + 169939*m/2 + 21682353/2 = 0. What is m?
-231, 1219
Factor 196*m**4/3 - 1484*m**3 + 11136*m**2 - 27648*m.
4*m*(m - 9)*(7*m - 48)**2/3
Factor 2*q**2 - 964*q + 78074.
2*(q - 379)*(q - 103)
Suppose 2*t**5/21 - 7654*t**4/21 + 7296046*t**3/21 + 51663190*t**2/21 - 68649048*t/7 + 48998520/7 = 0. What is t?
-10, 1, 2, 1917
Solve -2*x**3/9 + 356*x**2/9 + 2192*x/9 + 2944/9 = 0 for x.
-4, -2, 184
Let -2*a**3/9 + 650*a**2/3 + 15698*a/9 + 9830/3 = 0. Calculate a.
-5, -3, 983
Find g such that -9*g**3/5 - 1367*g**2 + 10654*g/5 = 0.
-761, 0, 14/9
Solve b**2/4 + 389*b/4 + 4037/2 = 0 for b.
-367, -22
Factor -4*m**2 + 147548*m - 147544.
-4*(m - 36886)*(m - 1)
Find f such that 3*f**3 - 664620*f**2 + 36809978700*f = 0.
0, 110770
Let 4*p**4/5 + 73064*p**3/5 + 333646752*p**2/5 - 73064*p/5 - 333646756/5 = 0. What is p?
-9133, -1, 1
Determine y, given that 4*y**4 - 3228*y**3 + 3224*y**2 = 0.
0, 1, 806
Factor 5*w**3 - 15*w**2 - 5*w + 15.
5*(w - 3)*(w - 1)*(w + 1)
Find h such that 4*h**4 - 1803400*h**3 - 3606812*h**2 - 1803408*h = 0.
-1, 0, 450852
Find w such that w**2/2 + 21765*w/2 + 10882 = 0.
-21764, -1
Factor 4*y**4 + 492*y**3 + 12360*y**2 + 87584*y.
4*y*(y + 14)*(y + 17)*(y + 92)
Suppose 2*c**2/3 - 586*c - 14192/3 = 0. What is c?
-8, 887
Factor -6*y**2/11 - 312*y/11 + 138240/11.
-6*(y - 128)*(y + 180)/11
Find b such that 8*b**5/13 - 112350*b**4/13 + 395001016*b**3/13 - 3841316292*b**2/13 + 2560138416*b/13 + 886289202/13 = 0.
-1/4, 1, 9, 7017
Factor 2*o**2/11 - 6648*o/11 + 33858.
2*(o - 3267)*(o - 57)/11
Find u such that 4*u**2 - 1152572*u + 2305128 = 0.
2, 288141
Let -80*z**5 - 8040*z**4 + 222315*z**3 + 112660*z**2 + 14145*z = 0. Calculate z.
-123, -1/4, 0, 23
Find d, given that d**2 + 344580*d + 29683844100 = 0.
-172290
Factor m**2/6 + 29812*m/3 + 444377672/3.
(m + 29812)**2/6
Factor -3*g**3/4 + 2607*g**2/4 - 161400*g + 8280000.
-3*(g - 400)**2*(g - 69)/4
Factor -a**2/10 - 34574*a/5 - 69146/5.
-(a + 2)*(a + 69146)/10
Factor k**3/6 - 41*k**2/6 - 632*k/3 - 1178/3.
(k - 62)*(k + 2)*(k + 19)/6
Solve 2*k**5 - 86*k**4 + 274*k**3 + 8030*k**2 + 10500*k - 54000 = 0 for k.
-5, 2, 15, 36
Factor -2116*a**3/5 + 6472108*a**2/5 + 450272*a + 195776/5.
-4*(a - 3059)*(23*a + 4)**2/5
Factor a**2/5 + 9681*a/5 - 17442.
(a - 9)*(a + 9690)/5
Factor 3*r**3 - 693*r**2 + 51057*r - 1167615.
3*(r - 93)**2*(r - 45)
Suppose -l**4 + 14*l**3 + 1443*l**2 + 1396*l - 2852 = 0. What is l?
-31, -2, 1, 46
Determine u, given that -u**3/2 - 186*u**2 + 7381*u/2 - 9384 = 0.
-391, 3, 16
Determine x, given that 2*x**4/13 + 204*x**3/13 + 3022*x**2/13 - 204*x/13 - 3024/13 = 0.
-84, -18, -1, 1
Factor -l**3 + 123*l**2 + 2664*l + 4828.
-(l - 142)*(l + 2)*(l + 17)
Solve s**2 + 34898*s + 304467601 = 0 for s.
-17449
Solve -5*m**2 - 327325*m + 654670 = 0 for m.
-65467, 2
Factor 2*y**2/9 - 700*y/9 - 3550/9.
2*(y - 355)*(y + 5)/9
Factor -y**2/2 + 101695*y/2.
-y*(y - 101695)/2
Determine l, given that -2*l**2/5 - 1499596*l/5 - 281098520402/5 = 0.
-374899
Factor 5*a**3 - 180*a**2 + 1375*a + 1560.
5*(a - 24)*(a - 13)*(a + 1)
Find r such that 2*r**2/25 + 12354*r/25 - 12356/25 = 0.
-6178, 1
Find c, given that -c**3 - 8730*c**2 - 17457*c - 8728 = 0.
-8728, -1
Solve s**3/9 - 1199*s**2/9 + 424255*s/9 - 12307675/3 = 0 for s.
129, 535
Solve 5*z**4 + 275445*z**3 - 2203800*z**2 + 4407760*z = 0 for z.
-55097, 0, 4
Suppose -5*g**5 - 2435*g**4 - 16830*g**3 - 14240*g**2 + 76960*g + 76800 = 0. What is g?
-480, -4, -1, 2
Factor -146*z**3/7 - 9720*z**2 - 7928058*z/7 - 217156/7.
-2*(z + 233)**2*(73*z + 2)/7
Factor 64947481*r**2 + 24177*r + 9/4.
(16118*r + 3)**2/4
Determine j so that -5*j**5/2 + 223*j**4/2 + 1175*j**3/2 - 49291*j**2/2 - 179235*j - 67716 = 0.
-9, -2/5, 19, 44
Determine j, given that -2*j**3/13 - 548*j**2/13 + 2*j/13 + 548/13 = 0.
-274, -1, 1
Determine l, given that -4*l**4 + 4*l**3 + 2820*l**2 + 5612*l + 2800 = 0.
-25, -1, 28
Let z**2 + 5129*z - 459096 = 0. Calculate z.
-5217, 88
Factor r**2/2 + 521*r/2 - 523.
(r - 2)*(r + 523)/2
Find v, given that -3*v**4/8 + 519*v**3/8 + 537*v**2/4 - 525*v = 0.
-4, 0, 2, 175
Factor -a**2/6 + 1345*a + 16164.
-(a - 8082)*(a + 12)/6
Determine o, given that o**3 + 10810*o**2 = 0.
-10810, 0
Factor -4*j**2/7 + 11376*j/7 - 371052/7.
-4*(j - 2811)*(j - 33)/7
Let -t**3/2 + 48875*t**2/2 - 293223*t/2 + 439821/2 = 0. What is t?
3, 48869
Determine v, given that -5*v**2 - 20220*v + 1210385 = 0.
-4103, 59
What is a in -a**5 + 1026*a**4 - 347760*a**3 + 37849950*a**2 + 369572625*a = 0?
-9, 0, 345
Factor -3*h**2/8 - 141*h/2 + 59724.
-3*(h - 316)*(h + 504)/8
Let -3*q**2/4 + 70830*q = 0. What is q?
0, 94440
What is p in 5*p**2 - 22185*p - 22190 = 0?
-1, 4438
Factor -q**4 - 57*q**3 - 495*q**2 - 1175*q.
-q*(q + 5)**2*(q + 47)
Find v such that 72*v**5/11 + 67656*v**4/11 - 90742*v**3/11 - 381904*v**2/11 + 133610*v/11 - 11292/11 = 0.
-941, -2, 1/6, 3
Let 3*m**5 + 45*m**4 - 690*m**3 + 1530*m**2 + 687*m - 1575 = 0. Calculate m.
-25, -1, 1, 3, 7
Let 2*i**2/5 + 152216*i/5 - 152218/5 = 0. Calculate i.
-76109, 1
Solve 3*u**4 - 30*u**3 - 12501*u**2 - 350892*u - 2755620 = 0 for u.
-35, -18, 81
Solve b**2/4 - 643*b/2 + 62985/4 = 0.
51, 1235
Factor -5*f**2 + 346200*f.
-5*f*(f - 69240)
Let 2*i**3/7 - 3258*i**2/7 - 19602*i/7 - 29430/7 = 0. Calculate i.
-3, 1635
Factor -6*w**3/11 + 2196*w**2.
-6*w**2*(w - 4026)/11
Factor -y**3/8 - 27*y**2/4 - 965*y/8 - 714.
-(y + 16)*(y + 17)*(y + 21)/8
Suppose 35*t**4 + 990*t**3 - 9045*t**2 + 23760*t - 19440 = 0. What is t?
-36, 12/7, 3
Factor 3*f**3/7 + 1287*f**2 - 3864*f + 18036/7.
3*(f - 2)*(f - 1)*(f + 3006)/7
Let -v**2/4 - 609*v/2 - 50525/4 = 0. What is v?
-1175, -43
Find g such that -2*g**4 + 3230*g**3/3 + 94016*g**2/3 - 33848*g/3 - 63392/3 = 0.
-28, -2/3, 1, 566
Factor -2*n**2/3 - 10152*n - 30454/3.
-2*(n + 1)*(n + 15227)/3
Let -n**5/2 - 72*n**4 - 423*n**3/2 + 2*n**2 + 282*n = 0. What is n?
-141, -2, 0, 1
Determine p so that -5*p**4/2 - 555*p**3 + 20030*p**2 - 73380*p + 71120 = 0.
-254, 2, 28
Solve -3*d**3/2 + 1464*d**2 - 745551*d/2 + 7508457 = 0 for d.
22, 477
Determine h so that 200*h**5 - 16880*h**4 - 27382*h**3 - 11850*h**2 - 1548*h = 0.
-1, -3/10, 0, 86
Factor -20*g**3 + 177876*g**2 - 395480604*g - 79103236.
-4*(g - 4447)**2*(5*g + 1)
Factor -2*u**3/9 - 104962*u**2/9 - 459025066*u/3 + 153020018.
-2*(u - 1)*(u + 26241)**2/9
Let 10*l**5 - 28415*l**4 + 381895*l**3 - 325085*l**2 - 381905*l + 353500 = 0. Calculate l.
-1, 1, 25/2, 2828
What is p in -2*p**5/5 + 172*p**4/15 - 214*p**3/3 + 584*p**2/15 + 64*p/3 = 0?
-1/3, 0, 1, 8, 20
Factor z**2/2 + 3512*z/3 + 2341/6.
(z + 2341)*(3*z + 1)/6
Let 2*l**3/17 - 564*l**2/17 - 43346*l/17 - 42780/17 = 0. What is l?
-62, -1, 345
Factor -4*d**2 + 2578056*d - 415398296196.
-4*(d - 322257)**2
Find g, given that -3*g**3 - 1272*g**2 - 28932*g - 52800 = 0.
-400, -22, -2
Find v such that -2*v**4/17 - 148*v**3/17 - 3114*v**2/17 - 18752*v/17 + 22016/17 = 0.
-43, -16, 1
Factor f**2 - 11677*f - 857750.
(f - 11750)*(f + 73)
Factor -1909058*k**2 - 66436*k - 578.
-2*(977*k + 17)**2
Suppose -40*g**4 - 505*g**3 + 325*g**2 + 1690*g = 0. Calculate g.
-13, -13/8, 0, 2
Factor -45*p**2 - 3198*p + 3024.
-3*(p + 72)*(15*p - 14)
Solve a**4/3 - 19*a**3/3 + 16*a**2 + 292*a/3 + 224/3 = 0 for a.
-2, -1, 8, 14
Factor z**2/4 - 8269*z/4 + 8267/2.
(z - 8267)*(z - 2)/4
Factor 5*v**3 + 100*v**2 - 260*v - 880.
5*(v - 4)*(v + 2)*(v + 22)
Let -2*z**5/15 + 8260*z**4/3 - 213087266*z**3/15 - 1280630704*z**2/15 + 3200358016*z/15 - 1706681344/15 = 0. What is z?
-8, 1, 10328
Find f, given that 9*f**4/10 - 13688*f**3/5 + 157941*f**2/10 - 104733*f/5 - 27324/5 = 0.
-2/9, 3, 3036
Find c, given that -3*c**3 + 24*c**2 + 2073*c + 2046 = 0.
-22, -1, 31
Factor -t**3/7 - 5023*t**2/7 + t/7 + 5023/7.
-(t - 1)*(t + 1)*(t + 5023)/7
Find v such that 2*v**5/3 - 24*v**4 - 34*v**3/3 + 408*v**2 + 32*v/3 - 384 = 0.
-4, -1, 1, 4, 36
Factor 5*y**3 - 5*y**2 - 1910*y - 8800.
5*(y - 22)*(y + 5)*(y + 16)
Factor -w**3 +