 that 4*j**2 + 636*j - 640 = 0.
-160, 1
Factor -2*k**2 + 5048*k - 3185288.
-2*(k - 1262)**2
Factor 2*d**3 - 16*d**2 + 34*d - 20.
2*(d - 5)*(d - 2)*(d - 1)
Let 5*r**4 + 245*r**3 + 2185*r**2 + 3655*r + 1710 = 0. Calculate r.
-38, -9, -1
Suppose 3*k**2/5 - 186*k/5 + 2883/5 = 0. Calculate k.
31
Factor -2*n**4 + 2*n**3.
-2*n**3*(n - 1)
Solve 35*m**4 - 5555*m**3 + 61410*m**2 - 167220*m - 52920 = 0 for m.
-2/7, 6, 147
Factor w**4/2 - 2*w**2.
w**2*(w - 2)*(w + 2)/2
Let 2738*j**4 - 4810*j**3/7 + 352*j**2/7 - 8*j/7 = 0. What is j?
0, 2/37, 1/7
Factor 5*i**3/6 + 15*i**2/2 - 210*i.
5*i*(i - 12)*(i + 21)/6
Determine u so that -2*u**3/9 + 70*u**2/9 + 76*u/9 - 16 = 0.
-2, 1, 36
Factor 8*s**3/7 + 270*s**2/7 + 2244*s/7 - 578/7.
2*(s + 17)**2*(4*s - 1)/7
Factor 2*n**4/7 + 564*n**3/7 + 40322*n**2/7 + 11280*n + 5600.
2*(n + 1)**2*(n + 140)**2/7
Factor w**2 - 14*w - 32.
(w - 16)*(w + 2)
Factor 25*c**3 + 15*c**2 - 24*c - 16.
(c - 1)*(5*c + 4)**2
Factor -h**5 + 6*h**4 - 12*h**3 + 8*h**2.
-h**2*(h - 2)**3
Factor -5*t**3/6 - 101*t**2/3 + 41*t/2.
-t*(t + 41)*(5*t - 3)/6
Factor -28*p**3 + 848*p**2 + 40528*p - 11648.
-4*(p - 56)*(p + 26)*(7*p - 2)
Determine n, given that 2*n**2/5 - 3212*n/5 + 1289618/5 = 0.
803
Factor 2*r**3 - 440*r**2 + 23754*r + 49284.
2*(r - 111)**2*(r + 2)
Suppose 5*y**3 - 60*y**2 = 0. What is y?
0, 12
Determine b so that -9*b**4/5 - 372*b**3/5 - 118*b**2/5 + 204*b/5 - 41/5 = 0.
-41, -1, 1/3
Factor 2*u**2 - 114*u - 116.
2*(u - 58)*(u + 1)
Let -3*o**3/4 + 87*o**2/4 + 45*o/2 = 0. Calculate o.
-1, 0, 30
Factor -5*b**3 - 35*b**2 + 5*b + 35.
-5*(b - 1)*(b + 1)*(b + 7)
Factor -m**3/2 + 35*m**2/2 - 407*m/2 + 1573/2.
-(m - 13)*(m - 11)**2/2
Factor -b**2/5 + 2*b.
-b*(b - 10)/5
Factor -4*y**5 + 36*y**4 - 96*y**3 + 80*y**2.
-4*y**2*(y - 5)*(y - 2)**2
Factor -3*y**2 - 303*y + 618.
-3*(y - 2)*(y + 103)
Factor 5*y**4 + 835*y**3 - 4260*y**2 + 6860*y - 3440.
5*(y - 2)**2*(y - 1)*(y + 172)
Solve 4*m**4/3 - 980*m**3/3 - 1324*m**2 - 996*m = 0.
-3, -1, 0, 249
Solve f**2 - 4*f - 12 = 0.
-2, 6
Factor z**5/5 + 2*z**4/5 - 2*z**2/5 - z/5.
z*(z - 1)*(z + 1)**3/5
Factor -10*t**2/9 + 14*t/9 - 4/9.
-2*(t - 1)*(5*t - 2)/9
Determine j, given that 2*j**5/5 - 82*j**4/5 + 876*j**3/5 - 2368*j**2/5 - 3328*j/5 = 0.
-1, 0, 8, 26
What is s in 5*s**3 + 130*s**2 + 125*s = 0?
-25, -1, 0
What is k in -k**5 + 4*k**4 + k**3 - 4*k**2 = 0?
-1, 0, 1, 4
Factor -5*s**3 + 485*s + 1320.
-5*(s - 11)*(s + 3)*(s + 8)
Factor y**3/8 - 5*y**2/4 - 13*y/8 + 11/4.
(y - 11)*(y - 1)*(y + 2)/8
Solve 2*h**4 + 20*h**3 + 48*h**2 = 0 for h.
-6, -4, 0
Factor 3*g**2/2 - 603*g + 1200.
3*(g - 400)*(g - 2)/2
Solve -3*g**3/2 + 6*g**2 + 57*g/2 + 21 = 0 for g.
-2, -1, 7
Let 4*p**3 - 3336*p**2 + 927408*p - 85939808 = 0. What is p?
278
Factor y**5 + 6*y**4 - 58*y**3 - 200*y**2 - 207*y - 70.
(y - 7)*(y + 1)**3*(y + 10)
Factor -4*d**3 + 36*d**2 - 96*d + 64.
-4*(d - 4)**2*(d - 1)
Factor 5*t**3 - 5*t**2 - 250*t - 240.
5*(t - 8)*(t + 1)*(t + 6)
Find m such that 2*m**4/11 - 2*m**3/11 - 14*m**2/11 + 2*m/11 + 12/11 = 0.
-2, -1, 1, 3
Determine s so that 3*s**5/7 + 24*s**4 + 1692*s**3/7 - 6114*s**2/7 + 6465*s/7 - 2214/7 = 0.
-41, -18, 1
Let 3*l**5 - 12*l**3 = 0. What is l?
-2, 0, 2
Find x such that -x**5/3 + 41*x**4/3 - 475*x**3/3 + 1079*x**2/3 + 152*x/3 - 1444/3 = 0.
-1, 2, 19
Let -2*p**4 - 38*p**3 + 44*p**2 + 80*p = 0. What is p?
-20, -1, 0, 2
Factor l**2 - 11*l - 12.
(l - 12)*(l + 1)
Suppose -4*s**4 - 32*s**3 - 68*s**2 - 40*s = 0. Calculate s.
-5, -2, -1, 0
Find g such that 2*g**2 - 10928*g + 14927648 = 0.
2732
Factor 2*a**2/3 + 28*a + 160/3.
2*(a + 2)*(a + 40)/3
Solve -2*w**2/5 - 136*w/5 + 56 = 0 for w.
-70, 2
Suppose -2*i**3/3 + 8*i**2 + 40*i + 128/3 = 0. Calculate i.
-2, 16
What is v in -5*v**3 + 480*v**2 - 11520*v = 0?
0, 48
Factor -4*l**2/5 + 124*l/5 - 192.
-4*(l - 16)*(l - 15)/5
Factor -49*m**3/12 - 65*m**2/4 - 16*m + 1/3.
-(m + 2)**2*(49*m - 1)/12
Find a such that -3*a**4/8 - 33*a**3/2 - 63*a**2/2 = 0.
-42, -2, 0
What is j in -5*j**2 - 610*j - 18605 = 0?
-61
Factor 15*v**3 + 2635*v**2 - 3535*v + 885.
5*(v - 1)*(v + 177)*(3*v - 1)
Determine k, given that 18*k**4 - 42*k**3 - 460*k**2 - 832*k - 448 = 0.
-2, -4/3, 7
Factor -2*b**2 - 30*b + 32.
-2*(b - 1)*(b + 16)
Suppose -4*r**4 - 100*r**3 + 104*r**2 = 0. Calculate r.
-26, 0, 1
Determine l so that -2*l**4/13 - 46*l**3/13 - 126*l**2/13 - 122*l/13 - 40/13 = 0.
-20, -1
Suppose 3*b**2/4 - 189*b/4 + 795/2 = 0. What is b?
10, 53
Determine b so that -3*b**2 + 5412*b - 2440812 = 0.
902
Factor -3*r**4/5 - 3*r**3 - 21*r**2/5 - 9*r/5.
-3*r*(r + 1)**2*(r + 3)/5
What is r in -2*r**5/3 + 14*r**4/3 - 2*r**3 - 38*r**2/3 + 8*r/3 + 8 = 0?
-1, 1, 2, 6
Factor 4*x**3 - 176*x**2 - 16*x + 704.
4*(x - 44)*(x - 2)*(x + 2)
Factor 4*h**4 + 16*h**3 + 12*h**2 - 16*h - 16.
4*(h - 1)*(h + 1)*(h + 2)**2
Factor 3*f**4/7 - 24*f**3/7 + 9*f**2 - 54*f/7.
3*f*(f - 3)**2*(f - 2)/7
Let 35*a**5/2 - 255*a**4/2 - 245*a**3/2 + 335*a**2/2 + 105*a - 40 = 0. Calculate a.
-1, 2/7, 1, 8
Find d, given that d**4 - d**2 = 0.
-1, 0, 1
Suppose 6*l**5 - 56*l**4 - 48*l**3 + 76*l**2 + 42*l - 20 = 0. What is l?
-1, 1/3, 1, 10
Let 2*u**4/7 + 26*u**3/7 + 90*u**2/7 - 50*u/7 - 500/7 = 0. Calculate u.
-5, 2
Solve -2*i**2 - 704*i - 61952 = 0.
-176
Solve 3*y**2 + 2730*y = 0 for y.
-910, 0
Factor o**3 + 23*o**2 + 62*o + 40.
(o + 1)*(o + 2)*(o + 20)
Determine u, given that 2*u**3/5 + 4*u**2/5 - 2*u/5 - 4/5 = 0.
-2, -1, 1
Determine n so that -5*n**5 - 25*n**4 - 15*n**3 + 25*n**2 + 20*n = 0.
-4, -1, 0, 1
Let -4*z**5 - 12*z**4 + 28*z**3 + 44*z**2 - 24*z - 32 = 0. What is z?
-4, -1, 1, 2
Suppose -4*d**2 - 64*d - 156 = 0. Calculate d.
-13, -3
Solve -10*f**3/7 + 8*f**2/7 + 62*f/7 + 12/7 = 0.
-2, -1/5, 3
Let -t**3/4 - 11*t**2/4 - 6*t = 0. What is t?
-8, -3, 0
Find j such that 3*j**5/7 - 24*j**4 - 9*j**3/7 + 510*j**2/7 - 48*j = 0.
-2, 0, 1, 56
Suppose -245*u**2 + 247*u - 2 = 0. What is u?
2/245, 1
Solve -3*g**2/4 + 9*g/4 + 3 = 0 for g.
-1, 4
Factor v**3 + 6*v**2 - 9*v - 14.
(v - 2)*(v + 1)*(v + 7)
Determine o, given that 5*o**2 - 1920*o + 3820 = 0.
2, 382
Let 2*w**3/7 - 382*w**2/7 - 384*w/7 = 0. What is w?
-1, 0, 192
Find s such that 3*s**5 - 216*s**4 - 456*s**3 + 882*s**2 + 453*s - 666 = 0.
-3, -1, 1, 74
Factor -2*y**2 + 760*y - 72200.
-2*(y - 190)**2
Factor r**4/2 - 7*r**3/2 - 33*r**2 - 74*r - 52.
(r - 13)*(r + 2)**3/2
Factor 5*v**5 - 5*v**4 - 240*v**3 - 920*v**2 - 1360*v - 720.
5*(v - 9)*(v + 2)**4
Factor 3*m**2 - 1551*m.
3*m*(m - 517)
Let -2*v**4 + 14*v**3 - 28*v**2 + 16*v = 0. What is v?
0, 1, 2, 4
Suppose d**2/3 - 114*d + 9747 = 0. What is d?
171
Find q such that q**2/9 + 236*q/3 + 235 = 0.
-705, -3
Solve -z**5/6 - 3*z**4 - 43*z**3/3 - 26*z**2/3 + 29*z/2 + 35/3 = 0.
-10, -7, -1, 1
Factor -500*f**3 + 5400*f**2 - 19440*f + 23328.
-4*(5*f - 18)**3
What is y in -5*y**4/6 + 5*y**3/3 + 10*y**2/3 - 5*y/3 - 5/2 = 0?
-1, 1, 3
Let 3*y**2/7 + 615*y/7 + 174 = 0. What is y?
-203, -2
Find b, given that -295*b**3 + 2070*b**2 - 2985*b + 50 = 0.
1/59, 2, 5
Find p such that p**2/7 - 3474*p/7 + 3017169/7 = 0.
1737
Suppose 4*z**4/3 + 44*z**3/3 + 36*z**2 + 100*z/3 + 32/3 = 0. Calculate z.
-8, -1
Factor -4*w**3 + 48*w**2 - 192*w + 256.
-4*(w - 4)**3
Factor 3*p**3 + 75*p**2 - 438*p + 360.
3*(p - 4)*(p - 1)*(p + 30)
Factor -1444*q**2 + 456*q - 36.
-4*(19*q - 3)**2
Suppose 14*u**5 - 34*u**4 - 2512*u**3/7 - 4112*u**2/7 - 1760*u/7 - 32 = 0. Calculate u.
-2, -2/7, 7
Factor -3*n**2/7 + 4458*n/7 + 4461/7.
-3*(n - 1487)*(n + 1)/7
What is f in 20*f**3 - 104*f**2 + 117*f + 45 = 0?
-3/10, 5/2, 3
Factor -2*q**5 + 120*q**4 - 460*q**3 + 680*q**2 - 450*q + 112.
-2*(q - 56)*(q - 1)**4
Determine u, given that -3*u**5 + 57*u**4 + 423*u**3 + 675*u**2 = 0.
-3, 0, 25
What is m in -5*m**3 + 220*m**2 + 725*m - 940 = 0?
-4, 1, 47
Factor 2*x**3 + 32*x**2 + 130*x + 100.
2*(x + 1)*(x + 5)*(x + 10)
Let 5*w**5/2 + 135*w**4/2 - 145*w**3 + 5*w**2 + 285*w/2 - 145/2 = 0. What is w?
-29, -1, 1
Let -r**2 + 2*r + 15 = 0. Calculate r.
-3, 5
Factor 4*p**3/5 + 102*p**2/5 + 146*p/5 + 48/5.
2*(p + 1)*(p + 24)*(2*p + 1)/5
What is f in 2*f**4/11 + 224*f**3/11 + 1296*f**2/11 + 2560*f/11 + 1696/11 = 0?
-106, -2
Find g, given that g**2 + 2*g + 1 = 0.
-1
Suppose 4*i**3 - 1528*i**2 - 9276*i - 13968 = 0. What is i?
-3, 388
Factor 2*n**2/9 - 8*n - 602/9.
2*(n - 43)*(n + 7)/9
Determine i, given that 2*i**5/9 + 8*i**