28 = 0. Calculate j.
-1/3, 14
Factor 3*j**2/7 + 1011*j/7 + 5958/7.
3*(j + 6)*(j + 331)/7
Factor q**2/6 + 3*q + 27/2.
(q + 9)**2/6
Factor -25*m**4/2 + 220*m**3 - 1260*m**2 + 2160*m + 1080.
-5*(m - 6)**3*(5*m + 2)/2
Find h such that 2*h**2/15 + 106*h/15 + 364/5 = 0.
-39, -14
Determine d, given that -2*d**3 + 2*d**2 + 18*d - 18 = 0.
-3, 1, 3
Find i, given that i**2 - 21*i - 46 = 0.
-2, 23
Factor -3*z**3 + 336*z**2 - 9408*z.
-3*z*(z - 56)**2
Factor 3*y**2 - 7506*y + 4695003.
3*(y - 1251)**2
What is w in 4*w**4 - 350*w**3 + 44833*w**2/4 - 155400*w + 788544 = 0?
16, 111/4
Factor -5*l**3 + 900*l**2 - 4375*l.
-5*l*(l - 175)*(l - 5)
Factor -z**3 + 1058*z**2 - 280896*z + 557568.
-(z - 528)**2*(z - 2)
Let -2*q**3/17 + 14*q**2/17 + 8*q/17 - 56/17 = 0. Calculate q.
-2, 2, 7
Suppose -2*d**5/7 - 982*d**4/7 + 2*d**3/7 + 982*d**2/7 = 0. Calculate d.
-491, -1, 0, 1
Find r, given that -300*r**4 - 1035*r**3 + 672*r**2 + 36*r - 48 = 0.
-4, -1/4, 2/5
Solve -2*j**4 + 118*j**3 - 2228*j**2 + 13632*j - 11520 = 0.
1, 10, 24
Find a such that 2*a**3/9 + 8*a**2 + 682*a/9 + 484/3 = 0.
-22, -11, -3
Suppose -2*t**2/15 + 64*t/5 = 0. Calculate t.
0, 96
Factor 2*q**5/9 - 20*q**4/9 - 8*q**3 - 76*q**2/9 - 26*q/9.
2*q*(q - 13)*(q + 1)**3/9
Factor 45*m**2 + 750*m + 3125.
5*(3*m + 25)**2
Let 2*m**3/7 + 204*m**2/7 + 402*m/7 + 200/7 = 0. Calculate m.
-100, -1
Find a, given that -5*a**2/2 - 109*a/2 - 52 = 0.
-104/5, -1
Determine k, given that 12*k**5 + 100*k**4 + 92*k**3 - 580*k**2 - 200*k = 0.
-5, -1/3, 0, 2
Suppose 45*a**4 - 55*a**3 - 620*a**2 + 1220*a - 240 = 0. Calculate a.
-4, 2/9, 2, 3
Factor 2*w**5 + 26*w**4 + 102*w**3 + 134*w**2 + 56*w.
2*w*(w + 1)**2*(w + 4)*(w + 7)
Suppose 5*v**4 + 20*v**3 - 5*v**2 - 20*v = 0. What is v?
-4, -1, 0, 1
Determine s so that -4*s**3/3 + 20*s**2 - 48*s = 0.
0, 3, 12
Suppose 2*b**5 - 6*b**4 + 2*b**3 + 6*b**2 - 4*b = 0. Calculate b.
-1, 0, 1, 2
Let -10*o**3/3 + 43*o**2/3 - 4*o = 0. What is o?
0, 3/10, 4
Factor -3*w**4 - 48*w**3 - 135*w**2 + 486*w.
-3*w*(w - 2)*(w + 9)**2
Factor -3*p**2/2 + 24*p + 630.
-3*(p - 30)*(p + 14)/2
Factor -d**3/4 + 154*d**2 - 1229*d/4 + 307/2.
-(d - 614)*(d - 1)**2/4
Factor 25*d**2 + 90*d - 40.
5*(d + 4)*(5*d - 2)
Find g, given that 6*g**4 - 214*g**3/7 + 146*g**2/7 + 366*g/7 - 36/7 = 0.
-1, 2/21, 3
Determine m so that -m**3 - 900*m**2 - 270000*m - 27000000 = 0.
-300
Solve -5*t**3 - 5*t**2 = 0.
-1, 0
Suppose -55*w**2 - 455*w - 120 = 0. Calculate w.
-8, -3/11
Factor -c**4/3 + c**3 - 2*c**2/3.
-c**2*(c - 2)*(c - 1)/3
Factor 4*n**3 + 64*n**2 - 1584*n + 2880.
4*(n - 12)*(n - 2)*(n + 30)
Determine n, given that 2*n**2/9 - 358*n/9 - 724/9 = 0.
-2, 181
Solve 4*d**4 - 16*d**3 - 48*d**2 = 0.
-2, 0, 6
Factor f**2 - 281*f + 280.
(f - 280)*(f - 1)
Determine r so that -2*r**2/3 - 20*r = 0.
-30, 0
What is p in -4*p**4 + 20*p**3 - 24*p**2 = 0?
0, 2, 3
Let -3*g**5 + 9*g**4 + 69*g**3 - 81*g**2 - 66*g + 72 = 0. What is g?
-4, -1, 1, 6
Find v such that 7*v**3/2 - 93*v**2/2 - 36*v + 14 = 0.
-1, 2/7, 14
Factor -t**4/3 - 2*t**3 - 13*t**2/3 - 4*t - 4/3.
-(t + 1)**2*(t + 2)**2/3
Determine p, given that -2*p**3/5 + 12*p**2/5 + 192*p/5 - 256 = 0.
-10, 8
Let -d**3/5 - 24*d**2/5 + 5*d = 0. What is d?
-25, 0, 1
Solve -k**5/4 + k**4/2 + 7*k**3/4 + k**2 = 0.
-1, 0, 4
Let 5*a**3 - 25*a**2 = 0. Calculate a.
0, 5
Factor -k**2 + 4*k + 5.
-(k - 5)*(k + 1)
Let h**2/7 + 348*h/7 + 30276/7 = 0. What is h?
-174
Factor n**2 - 32*n + 192.
(n - 24)*(n - 8)
Factor -2*a**5/3 - 52*a**4 - 200*a**3 - 592*a**2/3.
-2*a**2*(a + 2)**2*(a + 74)/3
Factor z**2 - 9*z + 18.
(z - 6)*(z - 3)
What is d in -2*d**2 + 476*d = 0?
0, 238
Factor 145*a**4 - 645*a**3 + 1065*a**2 - 775*a + 210.
5*(a - 1)**3*(29*a - 42)
Factor -1080*x**2 + 1716*x/7 - 8/7.
-4*(9*x - 2)*(210*x - 1)/7
Factor 5*y**2 + 50*y + 105.
5*(y + 3)*(y + 7)
Let -4*n**4/3 - 88*n**3 - 924*n**2 - 9920*n/3 - 3600 = 0. Calculate n.
-54, -5, -2
Solve -12*p**2 - 58*p + 304 = 0.
-8, 19/6
Factor p**3/5 - 66*p**2/5 - 139*p/5 + 204/5.
(p - 68)*(p - 1)*(p + 3)/5
Factor 2*m**2 - 566*m + 564.
2*(m - 282)*(m - 1)
Suppose t**3/3 - 14*t**2/3 - 5*t = 0. Calculate t.
-1, 0, 15
Factor 5*p**3 - 445*p**2 + 9675*p + 10125.
5*(p - 45)**2*(p + 1)
Factor 12482*d**2/7 - 11376*d + 18144.
2*(79*d - 252)**2/7
Let 4*h**2/7 + 52*h/7 - 120/7 = 0. Calculate h.
-15, 2
Suppose -5*w**2 + 990*w + 4040 = 0. What is w?
-4, 202
Find x, given that 4*x**2/5 + 20608*x/5 + 26543104/5 = 0.
-2576
Let -72*y**4 - 4440*y**3 - 2906*y**2 + 1340*y - 122 = 0. Calculate y.
-61, -1, 1/6
Factor -v**2 - 298*v - 22201.
-(v + 149)**2
Determine d so that -d**2/10 - 7*d/10 + 22/5 = 0.
-11, 4
Suppose z**3/3 - 2*z**2 + 3*z - 4/3 = 0. Calculate z.
1, 4
Factor -3*y**4 - 432*y**3 - 23328*y**2 - 559872*y - 5038848.
-3*(y + 36)**4
Factor -3*k**2 - 5694*k - 5691.
-3*(k + 1)*(k + 1897)
Factor -2*g**2/11 - 380*g/11 - 18050/11.
-2*(g + 95)**2/11
Solve -l**5 - 77*l**4 - 1655*l**3 - 6403*l**2 + 1656*l + 6480 = 0 for l.
-36, -5, -1, 1
Factor -4*h**4 + 208*h**3 - 972*h**2 + 1520*h - 752.
-4*(h - 47)*(h - 2)**2*(h - 1)
Suppose -4*c**2/5 - 28*c = 0. Calculate c.
-35, 0
Factor -2*b**2 + 408*b - 20808.
-2*(b - 102)**2
Determine c so that -c**5/4 + 183*c**4/4 - 541*c**3/4 + 177*c**2/4 + 271*c/2 - 90 = 0.
-1, 1, 2, 180
Factor -5*m**3 - 240*m**2 + 495*m - 250.
-5*(m - 1)**2*(m + 50)
Factor -9*g**2/8 - 591*g/4 + 99.
-3*(g + 132)*(3*g - 2)/8
Find z such that z**3/5 + 35*z**2 - 712*z/5 + 716/5 = 0.
-179, 2
Determine m so that -4*m**5 - 16*m**4 + 92*m**3 + 152*m**2 - 880*m + 800 = 0.
-5, 2
Factor g**4 + 16*g**3 + 63*g**2 - 16*g - 64.
(g - 1)*(g + 1)*(g + 8)**2
Factor t**5 + 67*t**4 + 1018*t**3 - 3466*t**2 + 3605*t - 1225.
(t - 1)**3*(t + 35)**2
Factor -5*r**2/4 + 70*r + 285/4.
-5*(r - 57)*(r + 1)/4
Suppose 3*s**5/5 + 276*s**4/5 + 807*s**3/5 + 534*s**2/5 = 0. Calculate s.
-89, -2, -1, 0
Determine g, given that 3*g**3/2 - 9*g**2/2 - 6*g + 18 = 0.
-2, 2, 3
Determine n, given that -n**4/3 - 15*n**3 - 161*n**2 + 529*n/3 = 0.
-23, 0, 1
Factor -5*j**2 - 30*j + 455.
-5*(j - 7)*(j + 13)
Determine p so that 4*p**3/3 - 44*p**2/3 - 224*p + 2496 = 0.
-13, 12
Suppose 2*z**2/5 + 2192*z/5 + 600608/5 = 0. Calculate z.
-548
Factor 5*w**3 + 285*w**2 + 1300*w.
5*w*(w + 5)*(w + 52)
Find v such that -4*v**4 + 800*v**3 + 808*v**2 - 800*v - 804 = 0.
-1, 1, 201
Find k such that 3*k**2/7 - 849*k/7 - 852/7 = 0.
-1, 284
Solve y**2/3 - 10*y/3 + 3 = 0.
1, 9
Determine g so that 3*g**5/5 - 3*g**4/5 - 27*g**3/5 + 27*g**2/5 = 0.
-3, 0, 1, 3
Factor 20*u**3 - 136*u**2 - 28*u.
4*u*(u - 7)*(5*u + 1)
Let 2*m**3 + 10*m**2 + 8*m = 0. Calculate m.
-4, -1, 0
Factor -4*b**3 - 28*b**2 - 56*b - 32.
-4*(b + 1)*(b + 2)*(b + 4)
Let 5*z**5/4 - 15*z**4/4 + 5*z**3/4 + 15*z**2/4 - 5*z/2 = 0. Calculate z.
-1, 0, 1, 2
Suppose 3*l**5 - 3*l**4 - 36*l**3 - 12*l**2 + 48*l = 0. What is l?
-2, 0, 1, 4
What is b in 2*b**5/13 + 24*b**4/13 + 8*b**3 + 204*b**2/13 + 14*b + 60/13 = 0?
-5, -3, -2, -1
Find v, given that 2*v**5/5 + 96*v**4/5 + 1236*v**3/5 + 368*v**2 - 3174*v/5 = 0.
-23, -3, 0, 1
Suppose -o**5/3 + 4*o**4 - 16*o**3/3 - 14*o**2 + 17*o/3 + 10 = 0. Calculate o.
-1, 1, 3, 10
Determine o so that -3*o**2 + 1333*o + 890 = 0.
-2/3, 445
Factor -o**2/5 + 4/5.
-(o - 2)*(o + 2)/5
Factor -2*p**2 - 2*p + 40.
-2*(p - 4)*(p + 5)
Determine l so that 2*l**5 + 4*l**4 - 60*l**3 - 184*l**2 - 182*l - 60 = 0.
-5, -1, 6
Solve 2*q**5 + 162*q**4 - 670*q**3 + 846*q**2 - 340*q = 0 for q.
-85, 0, 1, 2
Factor 2*d**3/7 - 118*d**2/7 + 116*d/7.
2*d*(d - 58)*(d - 1)/7
Solve 2*w**5/11 + 6*w**4/11 - 2*w**3/11 - 6*w**2/11 = 0 for w.
-3, -1, 0, 1
Let -3*f**3 - 2616*f**2 + 5241*f - 2622 = 0. What is f?
-874, 1
Find c such that 63*c**5/5 - 669*c**4/5 + 963*c**3/5 - 411*c**2/5 + 54*c/5 = 0.
0, 2/7, 1/3, 1, 9
Find c such that -8*c**5 + 6*c**4 + 34*c**3 - 24*c**2 - 8*c = 0.
-2, -1/4, 0, 1, 2
Solve -3*a**3/4 + 243*a**2/4 - 177*a + 117 = 0 for a.
1, 2, 78
Factor -54*o**3/13 - 3996*o**2/13 - 98568*o/13 - 810448/13.
-2*(3*o + 74)**3/13
Let 2*v**5 + 19*v**4 + 63*v**3 + 81*v**2 + 27*v = 0. What is v?
-3, -1/2, 0
Solve 2*n**2 + 7976*n + 7952072 = 0.
-1994
Let -3*c**3 - 18*c**2 + 3*c + 18 = 0. Calculate c.
-6, -1, 1
Factor -g**4/6 - g**3/6 + g**2/6 + g/6.
-g*(g - 1)*(g + 1)**2/6
Let 3*q**4 + 51*q**3 + 189*q**2 + 81*q - 324 = 0. Calculate q.
-12, -3, 1
Factor -2*g**3/11 - 4*g**2/11 + 8*g/11 + 16/11.
-2*(g - 2)*(g