l**3 - 1881*l**2 + 5415*l + 164616 = 0. Calculate l.
-19, 8
Determine x so that 2*x**5/5 - 8*x**4 + 58*x**3/5 + 244*x**2/5 + 144*x/5 = 0.
-1, 0, 4, 18
What is u in 4*u**2 + 32*u + 60 = 0?
-5, -3
Solve o**3/4 - 883*o**2/4 + 880*o - 879 = 0.
2, 879
Suppose t**5 + 346*t**4 + 29581*t**3 - 60204*t**2 + 30276*t = 0. Calculate t.
-174, 0, 1
Factor 10*w**2/7 + 204*w/7 + 80/7.
2*(w + 20)*(5*w + 2)/7
Factor -2*a**3 + 9*a**2 + 1140*a - 572.
-(a - 26)*(a + 22)*(2*a - 1)
Determine i so that -2*i**3 + 496*i**2 - 30752*i = 0.
0, 124
Factor -3*n**2/5 - 9366*n/5 - 7310163/5.
-3*(n + 1561)**2/5
Factor 10443*k**3 + 354*k**2 + 3*k.
3*k*(59*k + 1)**2
Suppose -b**4/4 + 11*b**3/8 - 3*b**2/2 - 9*b/8 = 0. What is b?
-1/2, 0, 3
Factor y**5/2 + y**4 - 2*y**3 - 4*y**2.
y**2*(y - 2)*(y + 2)**2/2
Find f, given that -5*f**2 - 45*f = 0.
-9, 0
Factor 6*t**5/5 - 18*t**4/5 + 18*t**3/5 - 6*t**2/5.
6*t**2*(t - 1)**3/5
Factor -5*y**5/4 + 3*y**4/2.
-y**4*(5*y - 6)/4
Factor -y**5 - 12*y**4 - 17*y**3 + 146*y**2 + 84*y - 392.
-(y - 2)**2*(y + 2)*(y + 7)**2
Determine z, given that -845*z**2 - 130*z - 5 = 0.
-1/13
Solve -4*g**5/5 + 52*g**4 - 1232*g**3/5 + 1936*g**2/5 - 192*g = 0.
0, 1, 2, 60
What is b in 2*b**4/5 + 4*b**3/5 - 6*b**2/5 = 0?
-3, 0, 1
Determine y so that -4*y**3/3 + 22*y**2/9 + 64*y/3 - 50 = 0.
-25/6, 3
Factor 8*o**2/17 - 118*o/17 + 84/17.
2*(o - 14)*(4*o - 3)/17
Suppose r**2/5 + 18*r/5 + 32/5 = 0. Calculate r.
-16, -2
Find u, given that 3*u**2 - 168*u + 1029 = 0.
7, 49
Factor -2*p**2/5 + 18/5.
-2*(p - 3)*(p + 3)/5
Factor 2*j**3/3 + 18*j**2 + 148*j/3 + 32.
2*(j + 1)*(j + 2)*(j + 24)/3
Factor 4*q**2 + 28992*q + 52533504.
4*(q + 3624)**2
Suppose j**5/2 - 339*j**4 + 115597*j**3/2 - 114582*j**2 + 57122*j = 0. What is j?
0, 1, 338
Let -4*n**2 - 80*n + 84 = 0. What is n?
-21, 1
Factor -3*i**2/7 + 3*i/7.
-3*i*(i - 1)/7
Solve 4*o**2 - 64*o + 156 = 0 for o.
3, 13
Factor u**4 - 7*u**3 - 18*u**2.
u**2*(u - 9)*(u + 2)
Factor -4*g**2/3 - 256*g/3 + 560.
-4*(g - 6)*(g + 70)/3
Determine m so that -m**4/2 - 19*m**3/2 - 49*m**2 - 88*m - 48 = 0.
-12, -4, -2, -1
Solve -2*x**5/17 - 30*x**4/17 - 16*x**3/17 + 176*x**2/17 + 96*x/17 - 224/17 = 0.
-14, -2, 1, 2
Suppose 2*w**5/7 - 46*w**4/7 + 74*w**3/7 + 222*w**2/7 - 36*w = 0. Calculate w.
-2, 0, 1, 3, 21
Determine i, given that i**5/4 - 15*i**4/4 + 73*i**3/4 - 153*i**2/4 + 71*i/2 - 12 = 0.
1, 2, 3, 8
Factor 4*r**4/5 + 4176*r**3/5 + 1085752*r**2/5 - 2184048*r/5 + 1094116/5.
4*(r - 1)**2*(r + 523)**2/5
Suppose -3*r**3 - 128*r**2 - 83*r + 42 = 0. Calculate r.
-42, -1, 1/3
Find d, given that -d**3 - 18*d**2 - 81*d - 108 = 0.
-12, -3
Factor -2*v**4/5 - 22*v**3/5 - 6*v**2 + 54*v/5.
-2*v*(v - 1)*(v + 3)*(v + 9)/5
Let h**2/3 + 29*h - 658/3 = 0. Calculate h.
-94, 7
Let -p**3/2 - 35*p**2/2 - 91*p - 116 = 0. Calculate p.
-29, -4, -2
Determine o, given that -4*o**4/5 + 134*o**3/5 - 1396*o**2/5 + 5334*o/5 - 5292/5 = 0.
3/2, 7, 18
Solve -l**2/8 + 533*l/2 - 284089/2 = 0.
1066
Solve 4*g**5 + 4*g**4 - 4*g**3 - 4*g**2 = 0.
-1, 0, 1
Factor n**4/5 - 3*n**3/5 - 3*n**2 - 17*n/5 - 6/5.
(n - 6)*(n + 1)**3/5
Determine o, given that 6*o**5/11 + 38*o**4/11 - 8*o**3 - 416*o**2/11 + 1024*o/11 - 480/11 = 0.
-6, -5, 2/3, 2
Solve -3*y**2/4 + 231*y/2 + 234 = 0 for y.
-2, 156
What is p in 2*p**5/11 - 40*p**4/11 - 12*p**3 - 136*p**2/11 - 46*p/11 = 0?
-1, 0, 23
Solve 363*x**5 + 858*x**4 + 276*x**3 + 24*x**2 = 0.
-2, -2/11, 0
Factor -20*d**2 - 32*d + 16.
-4*(d + 2)*(5*d - 2)
Solve -2*n**4/7 - 16*n**3/7 + 34*n**2/7 + 408*n/7 + 360/7 = 0.
-6, -1, 5
Find c, given that 2*c**4 + 254*c**3 + 11628*c**2 + 222376*c + 1426672 = 0.
-38, -13
Determine c, given that 49*c**4/4 - 42*c**3 - 174*c**2 - 88*c - 12 = 0.
-2, -2/7, 6
Find r, given that 3*r**3/4 + 57*r**2/4 + 297*r/4 + 243/4 = 0.
-9, -1
Find o such that -3*o**2/7 - 16656*o/7 - 23118528/7 = 0.
-2776
What is x in x**3/5 - 4637*x**2/5 = 0?
0, 4637
Factor 2*y**3/15 - 104*y**2/5 + 922*y/15 - 204/5.
2*(y - 153)*(y - 2)*(y - 1)/15
Let -p**2 - 551*p = 0. Calculate p.
-551, 0
Find o, given that o**2 - 88*o + 1936 = 0.
44
Factor t**3 - 18*t**2 - 417*t + 434.
(t - 31)*(t - 1)*(t + 14)
Suppose 24*d**3 - 3484*d**2 - 6476*d + 1176 = 0. Calculate d.
-2, 1/6, 147
Suppose -6*j**3 - 8*j**2/3 + 54*j + 24 = 0. Calculate j.
-3, -4/9, 3
Factor -21*x**2 + 615*x - 174.
-3*(x - 29)*(7*x - 2)
What is v in 5*v**3 - 15*v + 10 = 0?
-2, 1
Factor -2*q**3/5 + 4*q**2 - 32*q/5.
-2*q*(q - 8)*(q - 2)/5
Determine f so that 4*f**3 - 248*f**2 + 716*f - 472 = 0.
1, 2, 59
Solve 10*z**5 - 4*z**4 - 260*z**3 + 104*z**2 + 250*z - 100 = 0 for z.
-5, -1, 2/5, 1, 5
Find r, given that -2*r**3/17 - 28*r**2/17 - 122*r/17 - 168/17 = 0.
-7, -4, -3
Suppose 3*b**4/4 - 6*b**3 = 0. Calculate b.
0, 8
Suppose -3*h**3/7 - 33*h**2/7 - 78*h/7 - 48/7 = 0. Calculate h.
-8, -2, -1
Factor 2*q**3/3 - 890*q**2/3 + 33152*q - 32856.
2*(q - 222)**2*(q - 1)/3
Factor 3*x**5/5 - 261*x**4/5 + 6057*x**3/5 - 3327*x**2 + 16128*x/5 - 5292/5.
3*(x - 42)**2*(x - 1)**3/5
Factor l**4 + 14*l**3 + 60*l**2 + 104*l + 64.
(l + 2)**3*(l + 8)
Factor -2*x**2/15 + 152*x/15 - 2888/15.
-2*(x - 38)**2/15
Factor -12*u**3 + 128*u**2 - 332*u + 168.
-4*(u - 7)*(u - 3)*(3*u - 2)
Suppose f**4/3 + f**3/3 - 2*f**2 - 4*f/3 + 8/3 = 0. Calculate f.
-2, 1, 2
Solve -2*k**3/7 + 22*k**2/7 - 48*k/7 = 0.
0, 3, 8
Find j, given that 450*j**2/11 - 120*j/11 + 8/11 = 0.
2/15
Factor 4*b**2 + 32*b - 260.
4*(b - 5)*(b + 13)
Suppose 5*i**4 - 60*i**3 + 45*i**2 + 110*i = 0. What is i?
-1, 0, 2, 11
Factor -3*s**3 + 45*s**2 - 225*s + 375.
-3*(s - 5)**3
Let -4*d**5 + 30*d**4 - 50*d**3 - 10*d**2 + 54*d - 20 = 0. Calculate d.
-1, 1/2, 1, 2, 5
Factor -25*x**2/4 + 12*x + 1.
-(x - 2)*(25*x + 2)/4
Suppose 2*f**5/3 + 26*f**4/3 + 44*f**3/3 = 0. Calculate f.
-11, -2, 0
Let -14*o**4 - 134*o**3 + 1924*o**2/7 + 3648*o/7 - 6336/7 = 0. Calculate o.
-11, -2, 12/7
Factor q**3 - 4*q**2 + 5*q - 2.
(q - 2)*(q - 1)**2
Solve -3*p**3 + 372*p**2 + 5307*p + 4932 = 0.
-12, -1, 137
What is g in -2*g**2/13 - 14*g/13 + 36/13 = 0?
-9, 2
Factor 2*m**3/5 + 16*m**2/5 - 2*m/5 - 16/5.
2*(m - 1)*(m + 1)*(m + 8)/5
Factor 4*f**2/5 + 16*f/5 - 48/5.
4*(f - 2)*(f + 6)/5
Suppose -4*r**5 + 4*r**4 + 16*r**3 - 16*r**2 = 0. What is r?
-2, 0, 1, 2
Factor p**3/4 + 11*p**2/2 + 109*p/4 - 33.
(p - 1)*(p + 11)*(p + 12)/4
Factor -4*s**3 + 4*s**2 + 20*s + 12.
-4*(s - 3)*(s + 1)**2
Let -2*s**4 + 10*s**3/3 + 118*s**2/3 - 82*s/3 - 40/3 = 0. What is s?
-4, -1/3, 1, 5
Factor x**2/3 + 61*x/3 - 42.
(x - 2)*(x + 63)/3
Determine w so that 4*w**2 + 9700*w + 9696 = 0.
-2424, -1
Factor 5*w**4 - 30*w**3 - 835*w**2 + 2640*w + 38720.
5*(w - 11)**2*(w + 8)**2
Factor 25*t**2 - 170*t - 35.
5*(t - 7)*(5*t + 1)
Find q, given that -2*q**5/13 - 16*q**4/13 + 40*q**3/13 - 4*q**2/13 - 38*q/13 + 20/13 = 0.
-10, -1, 1
Factor -3*t**2 + 21*t - 30.
-3*(t - 5)*(t - 2)
Suppose -28*b**5 + 232*b**4 + 20*b**3 - 1760*b**2 - 1072*b + 448 = 0. What is b?
-2, -1, 2/7, 4, 7
Factor -2*z**5 - 42*z**4 - 76*z**3.
-2*z**3*(z + 2)*(z + 19)
Suppose 12*x**4/11 + 246*x**3/11 + 546*x**2/11 + 96*x/11 - 216/11 = 0. Calculate x.
-18, -2, -1, 1/2
Determine g, given that 12*g**4 - 120*g**3 + 399*g**2 - 441*g = 0.
0, 3, 7/2
Let -4*k**2 - 3864*k - 933156 = 0. What is k?
-483
Determine k so that 3*k**3 + 4688*k**2 + 1833007*k + 1219922 = 0.
-781, -2/3
Factor -2*s**4/19 + 2*s**3/19.
-2*s**3*(s - 1)/19
Factor -3*g**2 + 189*g - 1176.
-3*(g - 56)*(g - 7)
Factor -3*k**2 + 549*k.
-3*k*(k - 183)
Factor -50*v**5/3 + 130*v**4 - 96*v**3 + 56*v**2/3.
-2*v**2*(v - 7)*(5*v - 2)**2/3
Factor -4*r**4 - 128*r**3 - 1144*r**2 - 1920*r - 900.
-4*(r + 1)**2*(r + 15)**2
Determine d so that -5*d**5 + 345*d**4 - 4325*d**3 - 5025*d**2 + 4330*d + 4680 = 0.
-1, 1, 18, 52
What is r in -3*r**4/7 + 18*r**3/7 - 12*r**2/7 - 18*r/7 + 15/7 = 0?
-1, 1, 5
Factor 25*b**4 + 620*b**3 + 475*b**2 - 120*b.
5*b*(b + 1)*(b + 24)*(5*b - 1)
Determine x so that x**4 + 3*x**3 - 4*x = 0.
-2, 0, 1
What is l in -l**2/4 + 11*l/2 - 57/4 = 0?
3, 19
Factor -j**4/2 + j**3/2 + 5*j**2 + 4*j.
-j*(j - 4)*(j + 1)*(j + 2)/2
What is f in -f**5/2 + 23*f**4/2 - 143*f**3/2 + 121*f**2/2 = 0?
0, 1, 11
Factor 4*f**2 - 16.
4*(f - 2)*(f + 2)
Solve 35*h**5 + 185*h**4 + 190*h**3 + 40*h**2 = 0.
-4, -1, -2/7, 0
Suppose 40*h**4/3 + 26*h**3/3 - 12*h**2 - 26*h/3 - 4/3 = 0. What is h?
-1, -2/5, -1/4, 1
Find v, given that 2*v**4/13 - 8*v**3/13 + 