7 - 30*h/7 + 8/7.
-2*(h + 4)*(4*h - 1)/7
Let -2*q**3/3 + 38*q**2/3 - 238*q/3 + 490/3 = 0. What is q?
5, 7
Factor -4*v**2/3 - 236*v/3 + 248.
-4*(v - 3)*(v + 62)/3
Factor -254*f**3 + 258*f**2 + 504*f - 8.
-2*(f - 2)*(f + 1)*(127*f - 2)
Determine g, given that 5*g**2 + 6610*g + 13200 = 0.
-1320, -2
Solve 5*q**3/9 + 173*q**2/9 + 260*q/9 - 44/3 = 0 for q.
-33, -2, 2/5
Solve -u**5 - 46*u**4 + 107*u**3 + 516*u**2 - 612*u - 1728 = 0.
-48, -2, 3
Solve 3*f**2/2 + 36*f + 120 = 0.
-20, -4
Factor 2*z**2/9 + 13792*z/9 + 23777408/9.
2*(z + 3448)**2/9
Factor -3*z**3 - 63*z**2 + 3*z + 63.
-3*(z - 1)*(z + 1)*(z + 21)
Let 2*x**5 + 2*x**4 - 12*x**3 - 8*x**2 + 16*x = 0. Calculate x.
-2, 0, 1, 2
Find q, given that -2*q**5 - 8*q**4 - 12*q**3 - 8*q**2 - 2*q = 0.
-1, 0
Factor -3*c**5 + 423*c**4 - 15534*c**3 + 44094*c**2 - 43263*c + 14283.
-3*(c - 69)**2*(c - 1)**3
Factor f**3 - 921*f**2 - f + 921.
(f - 921)*(f - 1)*(f + 1)
Factor -3*d**5 - 12*d**4 - 18*d**3 - 12*d**2 - 3*d.
-3*d*(d + 1)**4
Factor -g**2 + 21*g + 22.
-(g - 22)*(g + 1)
Factor 4*n**2 + 296*n.
4*n*(n + 74)
Factor o**5 - o**4 - 33*o**3 - 63*o**2.
o**2*(o - 7)*(o + 3)**2
Let 2*k**3/17 - 32*k**2/17 + 6*k - 72/17 = 0. Calculate k.
1, 3, 12
What is u in u**4 - 37*u**3 - 1382*u**2 - 10272*u - 8928 = 0?
-12, -1, 62
Suppose 5*p**4 + 95*p**3 + 90*p**2 = 0. Calculate p.
-18, -1, 0
Solve 2*v**4/9 + 14*v**3/9 + 2*v**2 - 14*v/9 - 20/9 = 0.
-5, -2, -1, 1
Suppose -m**4/3 + 238*m**3/3 + 239*m**2/3 = 0. What is m?
-1, 0, 239
Factor 6*b**4/5 - 36*b**3/5 - 18*b**2 - 48*b/5.
6*b*(b - 8)*(b + 1)**2/5
Factor 4*n**4 - 76*n**3 + 280*n**2.
4*n**2*(n - 14)*(n - 5)
Let 3*w**2 - 358*w - 240 = 0. Calculate w.
-2/3, 120
What is j in -j**4/2 + 6*j**3 - 45*j**2/2 + 27*j = 0?
0, 3, 6
Determine u so that 3*u**2/2 - 19*u/2 + 3 = 0.
1/3, 6
Factor n**3 + 16*n**2 - 17*n.
n*(n - 1)*(n + 17)
Find p, given that -p**5/4 - 3*p**4/2 - 13*p**3/4 - 3*p**2 - p = 0.
-2, -1, 0
Factor t**5 + 5*t**4 + 8*t**3 + 4*t**2.
t**2*(t + 1)*(t + 2)**2
Factor 2*k**3 - 119*k**2/2 - 15*k.
k*(k - 30)*(4*k + 1)/2
What is p in -15*p**2 - 1495*p + 2020 = 0?
-101, 4/3
Factor -2*m**3 + 320*m**2 + 974*m + 652.
-2*(m - 163)*(m + 1)*(m + 2)
Factor -5*f**3 + 13*f**2 + 26*f + 8.
-(f - 4)*(f + 1)*(5*f + 2)
Factor 12*d**4 + 352*d**3 - 244*d**2 - 120*d.
4*d*(d - 1)*(d + 30)*(3*d + 1)
Let 6*j**5/17 - 64*j**4/17 + 180*j**3/17 - 192*j**2/17 + 70*j/17 = 0. Calculate j.
0, 1, 5/3, 7
Factor -p**4 + 16*p**3 - 13*p**2 - 30*p.
-p*(p - 15)*(p - 2)*(p + 1)
Let -3*c**3/4 - 45*c**2 + 525*c = 0. Calculate c.
-70, 0, 10
Factor -2*d**2 - 3352*d - 1404488.
-2*(d + 838)**2
Factor -q**2 - 4*q - 3.
-(q + 1)*(q + 3)
Determine p so that -3*p**4/5 + 27*p**2/5 + 12*p/5 - 36/5 = 0.
-2, 1, 3
Factor -s**2/4 - 32*s + 129/4.
-(s - 1)*(s + 129)/4
Factor -2*g**4/3 - 116*g**3/3 - 598*g**2 - 3248*g/3 - 1568/3.
-2*(g + 1)**2*(g + 28)**2/3
Factor 2*o**3 - 326*o**2 - 2010*o - 3042.
2*(o - 169)*(o + 3)**2
Factor -q**4/3 + 346*q**3/3 + 347*q**2/3.
-q**2*(q - 347)*(q + 1)/3
Determine o so that -o**4 + 2*o**2 - 1 = 0.
-1, 1
Factor 4*b**4/5 + 64*b**3/5 + 204*b**2/5 + 144*b/5.
4*b*(b + 1)*(b + 3)*(b + 12)/5
Suppose 25*b**3/2 + 65*b**2/3 - 380*b/3 - 160/3 = 0. What is b?
-4, -2/5, 8/3
Suppose 3*b**4 + 263*b**3 - 637*b**2 - 627*b + 270 = 0. What is b?
-90, -1, 1/3, 3
Solve 2*m**2/11 - 12908*m/11 - 12910/11 = 0 for m.
-1, 6455
Determine d so that 2*d**2 + 172*d + 2640 = 0.
-66, -20
Factor 3*i**3 - 342*i**2 + 1005*i - 666.
3*(i - 111)*(i - 2)*(i - 1)
Find h, given that -h**2 - 40*h - 144 = 0.
-36, -4
Let -6*v**2 - 19539*v/2 - 2442 = 0. Calculate v.
-1628, -1/4
Solve 6*y**5 - 129*y**4 - 537*y**3 + 300*y**2 = 0.
-4, 0, 1/2, 25
Solve 3*b**3 - 60*b**2 - 813*b + 870 = 0.
-10, 1, 29
Determine x, given that 18*x**5 - 14*x**4 - 76*x**3 + 56*x**2 + 16*x = 0.
-2, -2/9, 0, 1, 2
Factor 3*f**3 + 27*f**2 + 18*f - 168.
3*(f - 2)*(f + 4)*(f + 7)
Factor -2*u**2/11 + 30*u/11 - 28/11.
-2*(u - 14)*(u - 1)/11
Suppose -4*p**4 - 112*p**3 - 560*p**2 - 704*p = 0. What is p?
-22, -4, -2, 0
Determine j, given that j**2/6 + 2*j/3 - 10 = 0.
-10, 6
Let -3*j**4 - 24*j**3 - 18*j**2 + 120*j - 75 = 0. Calculate j.
-5, 1
Suppose 3*t**5/2 + 17*t**4 + 117*t**3/2 + 61*t**2 - 18*t - 36 = 0. Calculate t.
-6, -3, -2, -1, 2/3
Factor 2*u**3/3 + 328*u**2/3 - 662*u/3 + 332/3.
2*(u - 1)**2*(u + 166)/3
Factor 5*f**3/2 - 30*f**2 + 90*f.
5*f*(f - 6)**2/2
Let 2*n**3/13 - 10*n**2/13 - 28*n/13 = 0. Calculate n.
-2, 0, 7
Factor -b**2/3 + 25*b/3 - 38.
-(b - 19)*(b - 6)/3
Find n such that -3*n**2 - 351*n - 2310 = 0.
-110, -7
Factor -13*h**4 + 158*h**3 - 284*h**2 + 40*h.
-h*(h - 10)*(h - 2)*(13*h - 2)
Factor -2*i**3 - 28*i**2 - 62*i + 252.
-2*(i - 2)*(i + 7)*(i + 9)
Factor v**2/2 - 177*v + 31329/2.
(v - 177)**2/2
What is f in f**3/7 + 6*f**2/7 + 9*f/7 + 4/7 = 0?
-4, -1
Let -14*v**2/5 - 19*v - 25 = 0. Calculate v.
-5, -25/14
Find b such that -b**4 - 137*b**3 - 270*b**2 = 0.
-135, -2, 0
Determine s so that -s**4 - 76*s**3/5 - 17*s**2 - 14*s/5 = 0.
-14, -1, -1/5, 0
Find q such that -q**4/3 - 7*q**3 + q**2/3 + 7*q = 0.
-21, -1, 0, 1
Find w such that 33124*w**2 + 728*w + 4 = 0.
-1/91
Factor -2*h**3 + 28*h**2 - 64*h - 256.
-2*(h - 8)**2*(h + 2)
Suppose 4*b**5/11 - 5*b**4/11 - 3*b**3/11 + 5*b**2/11 - b/11 = 0. What is b?
-1, 0, 1/4, 1
Factor -27*n**3/4 - 819*n**2/4 - 264*n - 87.
-3*(n + 29)*(3*n + 2)**2/4
Factor -5*k**5 + 10*k**4 + 15*k**3 - 20*k**2 - 20*k.
-5*k*(k - 2)**2*(k + 1)**2
Factor -z**4 + 984*z**3 - 3925*z**2 + 4902*z - 1960.
-(z - 980)*(z - 2)*(z - 1)**2
Solve -2*f**2/7 - 220*f/7 - 6050/7 = 0 for f.
-55
Let 75*f**4 + 985*f**3 + 2755*f**2 - 3325*f - 490 = 0. Calculate f.
-7, -2/15, 1
Determine i so that 5*i**4 + 95*i**3 + 85*i**2 - 95*i - 90 = 0.
-18, -1, 1
Determine y, given that -5*y**3 + 155*y**2 - 720*y - 8100 = 0.
-5, 18
Find o such that 16*o**4 + 44*o**3 - 76*o**2 + 16*o = 0.
-4, 0, 1/4, 1
Solve -3*z**2 - 905*z/2 + 151/2 = 0 for z.
-151, 1/6
Determine m, given that -31*m**5 + 4*m**4 + 66*m**3 - 4*m**2 - 35*m = 0.
-1, 0, 1, 35/31
What is r in -3*r**3 + 4965*r**2 - 2046801*r - 6185169 = 0?
-3, 829
Determine h so that -3*h**2/5 - 582*h/5 + 1773/5 = 0.
-197, 3
Factor 2*w**4/11 - 1076*w**3/11 + 2146*w**2/11 - 1072*w/11.
2*w*(w - 536)*(w - 1)**2/11
Factor 2*h**4 + 52*h**3 + 282*h**2 - 728*h + 392.
2*(h - 1)**2*(h + 14)**2
Find i, given that -5*i**4 - 1060*i**3 - 84270*i**2 - 2977540*i - 39452405 = 0.
-53
Factor 2*b**2/3 + 32*b/3 - 34/3.
2*(b - 1)*(b + 17)/3
Solve -i**2/4 + 27*i/4 - 13/2 = 0 for i.
1, 26
Factor -5*h**3/6 - 11*h**2/3 - 4*h/3.
-h*(h + 4)*(5*h + 2)/6
Factor 2*y**4/11 + 10*y**3/11 - 2*y**2/11 - 10*y/11.
2*y*(y - 1)*(y + 1)*(y + 5)/11
Determine p, given that 14*p**5/3 - 158*p**4/3 + 94*p**3 + 926*p**2/3 + 304*p/3 - 56 = 0.
-1, 2/7, 6, 7
Let 5*v**5 - 165*v**4 - 365*v**3 + 505*v**2 + 720*v - 700 = 0. Calculate v.
-2, 1, 35
Factor -2*y**3/13 + 4*y**2 - 50*y/13.
-2*y*(y - 25)*(y - 1)/13
Determine v, given that 2*v**3 - 3016*v**2 - 12090*v - 9072 = 0.
-3, -1, 1512
What is q in -15*q**4 - 51*q**3 + 72*q**2 + 156*q + 48 = 0?
-4, -1, -2/5, 2
Find n, given that 5*n**3 - 700*n**2 = 0.
0, 140
Find x, given that -2*x**3/5 - 10834*x**2/5 - 14666526*x/5 + 14677362/5 = 0.
-2709, 1
Factor 2*g**3/3 - 20*g**2/3 + 50*g/3.
2*g*(g - 5)**2/3
Find k such that -64*k**5 - 240*k**4 - k**3 + 396*k**2 - 97*k + 6 = 0.
-3, -2, 1/8, 1
Let -14*h**3/15 - 68*h**2/3 + 632*h/15 + 208/15 = 0. What is h?
-26, -2/7, 2
Determine s so that -5*s**2 - 85*s + 90 = 0.
-18, 1
Factor 3*w**3 - 27*w**2 - 102*w - 72.
3*(w - 12)*(w + 1)*(w + 2)
Solve -3*x**4 + 15288*x**3 - 19461618*x**2 - 38969112*x - 19492203 = 0.
-1, 2549
What is j in -j**2/4 + 5*j/2 - 6 = 0?
4, 6
Find u such that -16*u**4/9 + 16076*u**3/9 - 20036*u**2/3 + 48032*u/9 + 16016/9 = 0.
-1/4, 2, 1001
Factor -3*z**3 - 138*z**2 - 633*z - 738.
-3*(z + 2)*(z + 3)*(z + 41)
Let -n**4/4 - 5*n**3/4 - 3*n**2/2 + n + 2 = 0. What is n?
-2, 1
Solve -2*h**3/5 - 32*h**2/5 - 142*h/5 - 112/5 = 0 for h.
-8, -7, -1
Determine g, given that -g**3/4 + g/4 = 0.
-1, 0, 1
Factor -4*n**3/5 - 56*n**2/5 + 204*n/5.
-4*n*(n - 3)*(n + 17)/5
Factor -g**3/3 - g**2/3.
-g**2*(g + 1)/3
Factor -5*c**3 + 360*c**2 + 735*c + 370.
-5*(c - 74)*(c + 1)**2
Determine s so that 3*s**5 + 6*s**4 - 33*s**3 - 24*s**2 + 60*s + 48 = 0.
-4, -1, 2
Suppose -n**2/8 + 15*n/2 - 59/8 = 0. Calculate n.
1, 59
