3 - 320 = 0.
1, 4, 15
Find d such that 6*d**4/7 - 54*d**3 - 390*d**2/7 + 54*d + 384/7 = 0.
-1, 1, 64
Factor 34*v**2 - 166*v - 20.
2*(v - 5)*(17*v + 2)
Determine d, given that 4*d**3 + 1468*d**2 + 132460*d - 410700 = 0.
-185, 3
Determine z, given that -z**2 + 460*z - 459 = 0.
1, 459
Let 4*b**4 - 4*b**3 - 148*b**2 - 140*b = 0. Calculate b.
-5, -1, 0, 7
Factor 7*s**3/4 - 13*s**2 + 20*s + 16.
(s - 4)**2*(7*s + 4)/4
Factor c**2/5 + 74*c/5 - 2112/5.
(c - 22)*(c + 96)/5
What is m in m**4/12 + m**3/6 - m**2/12 - m/6 = 0?
-2, -1, 0, 1
Factor -h**4 - 8*h**3 - 12*h**2 + 32*h + 64.
-(h - 2)*(h + 2)*(h + 4)**2
Suppose 3*j**2/4 - 129*j/4 + 264 = 0. Calculate j.
11, 32
Factor -2*f**4/15 - 28*f**3/5 - 698*f**2/15 + 1288*f/5 - 4232/15.
-2*(f - 2)**2*(f + 23)**2/15
What is j in j**4/4 + 115*j**3/4 + 3771*j**2/4 + 26129*j/4 + 5618 = 0?
-53, -8, -1
Solve 3*g**5 - 9*g**4 - 3*g**3 + 33*g**2 - 36*g + 12 = 0 for g.
-2, 1, 2
Factor 5*j**5 - 20*j**4 + 30*j**3 - 20*j**2 + 5*j.
5*j*(j - 1)**4
Factor -3125*f**3 - 25030*f**2 - 50240*f - 480.
-5*(f + 4)**2*(625*f + 6)
What is z in 4*z**5/5 - 28*z**4/5 + 12*z**3 - 52*z**2/5 + 16*z/5 = 0?
0, 1, 4
Let -i**2 + 2348*i - 1378276 = 0. What is i?
1174
Determine o so that -2*o**4/11 - 2*o**3/11 + 4*o**2/11 = 0.
-2, 0, 1
What is t in t**5/3 - 2*t**3/3 + t/3 = 0?
-1, 0, 1
Factor 2*v**4 - 38*v**2 + 60*v.
2*v*(v - 3)*(v - 2)*(v + 5)
Solve 3*s**2 + 15*s + 12 = 0 for s.
-4, -1
Find z such that 4*z**3 - 1456*z**2 - 2924*z - 1464 = 0.
-1, 366
Suppose -14*l**5/15 - 2*l**4/3 + 40*l**3/3 + 56*l**2/3 - 32*l/5 = 0. What is l?
-3, -2, 0, 2/7, 4
Let -c**2/4 - 771*c/2 - 594441/4 = 0. What is c?
-771
Determine z, given that 3*z**2 - 231*z - 474 = 0.
-2, 79
Factor h**2 - 4934*h + 6086089.
(h - 2467)**2
Factor w**3/3 + 22*w**2/3 + 160*w/3 + 128.
(w + 6)*(w + 8)**2/3
Factor -2*w**2/11 + 1424*w/11 - 253472/11.
-2*(w - 356)**2/11
Factor -3*a**2 + 18*a + 21.
-3*(a - 7)*(a + 1)
Let 3*f**4 + 42*f**3 - 48*f**2 - 42*f + 45 = 0. What is f?
-15, -1, 1
Determine i, given that -105*i**4 + 452*i**3 - 693*i**2 + 450*i - 104 = 0.
4/7, 1, 26/15
Factor -2*z**3/21 + 348*z**2/7 - 60552*z/7 + 3512016/7.
-2*(z - 174)**3/21
Determine h so that h**2 - 15*h + 26 = 0.
2, 13
Solve c**4/2 - 40*c**3 + 800*c**2 = 0.
0, 40
Determine j, given that -j**5 - 19*j**4 - 115*j**3 - 241*j**2 - 208*j - 64 = 0.
-8, -1
Factor 4*h**3 + 52*h**2 + 128*h + 80.
4*(h + 1)*(h + 2)*(h + 10)
Factor k**2/5 + 24*k/5 + 16.
(k + 4)*(k + 20)/5
What is b in 14*b**3 + 66*b**2 - 104*b + 24 = 0?
-6, 2/7, 1
Factor n**4/2 - 7*n**3 + 33*n**2/2 + 56*n + 32.
(n - 8)**2*(n + 1)**2/2
Factor 2*u**2 + 14*u + 24.
2*(u + 3)*(u + 4)
Solve 2*b**5/3 + 10*b**4 + 28*b**3/3 = 0 for b.
-14, -1, 0
Suppose -4*w**2 + 1160*w - 84100 = 0. What is w?
145
Factor -k**3 + 523*k**2 - 68643*k + 68121.
-(k - 261)**2*(k - 1)
Determine n so that 2*n**3/5 - 18*n**2/5 - 16*n + 96/5 = 0.
-4, 1, 12
Let 4*x**4 - 144*x**3/5 + 244*x**2/5 - 24*x = 0. Calculate x.
0, 1, 6/5, 5
Let 8*n**3/7 - 4*n**2/7 = 0. What is n?
0, 1/2
Find y, given that -5*y**2 + 1550*y - 120125 = 0.
155
Find q, given that q**2/5 + 19*q/5 - 92/5 = 0.
-23, 4
Let -3*p**4 - 130*p**3 - 1492*p**2 - 1806*p - 441 = 0. What is p?
-21, -1, -1/3
Determine n so that -12*n**5 + 87*n**4 - 213*n**3 + 192*n**2 - 36*n = 0.
0, 1/4, 2, 3
Suppose -20*x**4 + 55*x**3 + 95*x**2 + 20*x = 0. Calculate x.
-1, -1/4, 0, 4
Factor -2*k**3 + 452*k**2 + 2*k - 452.
-2*(k - 226)*(k - 1)*(k + 1)
Solve 168*c**5 + 3705*c**4 + 23886*c**3 + 38229*c**2 + 18780*c + 900 = 0 for c.
-10, -1, -3/56
Determine g so that 1089*g**2/4 - 231*g/2 + 49/4 = 0.
7/33
Factor 35*q**3/4 + 30*q**2 - 5*q/4 - 75/2.
5*(q - 1)*(q + 3)*(7*q + 10)/4
Factor -n**3/7 + 250*n**2/7 + 507*n/7 - 108.
-(n - 252)*(n - 1)*(n + 3)/7
Factor 5*h**4 - 120*h**3 - 5*h**2 + 120*h.
5*h*(h - 24)*(h - 1)*(h + 1)
Find o, given that 4*o**4 - 12*o**3 - 64*o**2 - 48*o = 0.
-2, -1, 0, 6
Let -4*t**5 + 96*t**4 - 660*t**3 + 968*t**2 = 0. Calculate t.
0, 2, 11
Factor 3*g**2/5 + 207*g + 2058/5.
3*(g + 2)*(g + 343)/5
Find r, given that -12*r**4 - 141*r**3 - 240*r**2 + 501*r - 108 = 0.
-9, -4, 1/4, 1
Suppose 2*j**5 + 466*j**4 + 462*j**3 - 466*j**2 - 464*j = 0. What is j?
-232, -1, 0, 1
Factor -2*r**3/3 - 304*r**2/3 + 1562*r/3 - 1256/3.
-2*(r - 4)*(r - 1)*(r + 157)/3
Find r, given that -4*r**2/3 + 452*r + 1360/3 = 0.
-1, 340
Let d**3/3 - 26*d**2/3 + 140*d/3 + 392/3 = 0. Calculate d.
-2, 14
Factor -g**5 - 24*g**4 + 236*g**3 - 624*g**2 + 512*g.
-g*(g - 4)*(g - 2)**2*(g + 32)
Suppose -2*d**4/9 + 52*d**3/9 - 16*d**2 + 140*d/9 - 46/9 = 0. Calculate d.
1, 23
Factor 4*f**4 + 96*f**3 + 720*f**2 + 1600*f.
4*f*(f + 4)*(f + 10)**2
Factor 2*i**2 + 314*i + 620.
2*(i + 2)*(i + 155)
Factor -3*z**2 - 19920*z - 33067200.
-3*(z + 3320)**2
Suppose 2*n**4 - 12*n**3 - 18*n**2 + 28*n = 0. Calculate n.
-2, 0, 1, 7
Solve 8*g**5 + 58*g**4 + 142*g**3 + 128*g**2 + 24*g = 0.
-3, -2, -1/4, 0
Let -b**4 - 18*b**3 - 37*b**2 + 396*b - 484 = 0. What is b?
-11, 2
Suppose 3*t**5/5 + 77*t**4/5 + 29*t**3/5 - 557*t**2/5 - 812*t/5 - 60 = 0. What is t?
-25, -2, -1, -2/3, 3
Find x, given that -x**2 + 3458*x - 2989441 = 0.
1729
Factor 126*t**2/11 - 248*t/11 - 8/11.
2*(t - 2)*(63*t + 2)/11
Solve 2*t**5 - 6*t**4 - 84*t**3 - 200*t**2 - 144*t = 0 for t.
-2, 0, 9
Factor -2*w**3 - 14*w**2 - 28*w - 16.
-2*(w + 1)*(w + 2)*(w + 4)
Factor c**5 + 105*c**4 + 3675*c**3 + 42875*c**2.
c**2*(c + 35)**3
Factor 2*x**3/3 + 19*x**2/3 - 57*x - 30.
(x - 6)*(x + 15)*(2*x + 1)/3
Find w, given that w**2/7 + 26*w/7 = 0.
-26, 0
Factor -3*a**2/4 - 159*a/4 + 126.
-3*(a - 3)*(a + 56)/4
Determine v, given that -6*v**5/5 + 44*v**4/3 - 262*v**3/5 + 704*v**2/15 - 8*v = 0.
0, 2/9, 1, 5, 6
Factor -5*w**4 + 40*w**3 - 85*w**2 + 50*w.
-5*w*(w - 5)*(w - 2)*(w - 1)
Determine v so that -237*v**3/4 - 10905*v**2/4 - 69*v/2 = 0.
-46, -1/79, 0
Factor 2*u**2/11 + 212*u/11 + 210/11.
2*(u + 1)*(u + 105)/11
Factor 5*z**3/3 - 35*z**2/3 - 40*z/3.
5*z*(z - 8)*(z + 1)/3
Find r, given that 3*r**4 - 525*r**3 + 23193*r**2 - 16443*r - 272484 = 0.
-3, 4, 87
Factor -3*c**2/2 - 2466*c - 1013526.
-3*(c + 822)**2/2
Solve q**2 - 67*q - 68 = 0.
-1, 68
Factor -q**3/5 + 181*q**2/5 + 182*q/5.
-q*(q - 182)*(q + 1)/5
Factor -2*l**4 - 52*l**3 + 6*l**2 + 152*l - 104.
-2*(l - 1)**2*(l + 2)*(l + 26)
Determine p so that -5*p**2 - 405*p + 830 = 0.
-83, 2
Find g, given that g**5 - 15*g**4 + 55*g**3 + 15*g**2 - 200*g - 144 = 0.
-1, 4, 9
Factor -2*s**5/3 - 14*s**4 - 40*s**3/3.
-2*s**3*(s + 1)*(s + 20)/3
Factor 182*n**3 + 4*n**2/7.
2*n**2*(637*n + 2)/7
Determine o, given that -3869893*o**3/7 - 295788*o**2/7 - 7536*o/7 - 64/7 = 0.
-4/157
Determine u, given that -u**4/3 - 23*u**3 - 1153*u**2/3 + 455*u + 2450/3 = 0.
-35, -1, 2
Factor 2*a**2 + 62*a - 280.
2*(a - 4)*(a + 35)
Factor -2*c**3/19 + 40*c**2/19 - 2*c.
-2*c*(c - 19)*(c - 1)/19
Solve 15*v**5 + 138*v**4 - 123*v**3 - 30*v**2 = 0 for v.
-10, -1/5, 0, 1
Factor 4*g**2/3 + 252*g - 760/3.
4*(g - 1)*(g + 190)/3
Determine r so that 5*r**4 - 166*r**3 + 7669*r**2/5 - 12948*r/5 + 6084/5 = 0.
1, 78/5
Let 2*s**4 - 152*s**3 - 1144*s**2 + 153216*s + 2032128 = 0. Calculate s.
-18, 56
Solve -4*l**2/7 + 508*l/7 - 480 = 0.
7, 120
Factor -3*k**2 + 111*k - 756.
-3*(k - 28)*(k - 9)
Factor -k**5 + 2*k**4 + 3*k**3.
-k**3*(k - 3)*(k + 1)
Let 2*j**5/9 - 4*j**4/3 + 2*j**3 - 8*j**2/9 = 0. What is j?
0, 1, 4
Find z such that 7*z**3/4 + 19*z**2/4 - 19*z + 5 = 0.
-5, 2/7, 2
Factor 2*b**3/7 + 30*b**2/7 - 962*b/7 + 930/7.
2*(b - 15)*(b - 1)*(b + 31)/7
Let -2*i**5/5 + 44*i**4/5 + 102*i**3/5 - 136*i**2/5 - 40*i + 192/5 = 0. What is i?
-2, 1, 24
Factor 5*o**5 - 215*o**4 + 1970*o**3 + 7250*o**2 + 7705*o + 2645.
5*(o - 23)**2*(o + 1)**3
Solve i**3 - 366*i**2 + 33489*i = 0.
0, 183
Determine x, given that -22*x**3/5 + 794*x**2/5 - 1440*x + 648/5 = 0.
1/11, 18
Factor p**4 - 720*p**3 + 127422*p**2 + 784080*p + 1185921.
(p - 363)**2*(p + 3)**2
Find v such that -4*v**5 + 1636*v**4 + 3288*v**3 = 0.
-2, 0, 411
Factor -2*h**3/9 - 44*h**2/9 + 494*h/9 + 11552/9.
-2*(h - 16)*(h + 19)**2/9
Let -2*w**2/7 - 148*w/7 - 146/7 = 0. Calculate w.
-73, -1
Let 4*n**3/5 + 304*n**2/5 - 124*n + 312/5 = 0. Calculate n.
-78, 1
Find o, given that 2*o**3/17 + 198*o**2/17 + 6048*o/17 + 3456 = 0.
-51, -24
Factor -k**4/11 - 8*k**3 + 555*k**2/11 - 846*k/11.
-k*(k - 3)**2*(k + 94)/11
Factor 5*v**3 + 50*v**2 