 355)
Suppose 2*w**2 - 824*w + 84872 = 0. Calculate w.
206
Determine z so that 5*z**3 - 55*z**2 - 5*z + 55 = 0.
-1, 1, 11
What is r in -2*r**4/9 + 10*r**3/3 - 50*r**2/9 - 10*r/3 + 52/9 = 0?
-1, 1, 2, 13
Factor 3*w**3 - 93*w**2 + 561*w + 2601.
3*(w - 17)**2*(w + 3)
Factor -f**2/3 + 16*f/3 + 12.
-(f - 18)*(f + 2)/3
Solve 2*u**2 - 2924*u + 8754 = 0.
3, 1459
Let 2*s**2 + 222*s - 224 = 0. Calculate s.
-112, 1
Factor -w**3/3 - 130*w**2 + 391*w/3.
-w*(w - 1)*(w + 391)/3
Factor -2*u**3/9 - 980*u**2/9 - 121024*u/9 - 238144/9.
-2*(u + 2)*(u + 244)**2/9
What is g in 3*g**5/2 + 3*g**4 - 3*g**3 - 6*g**2 + 3*g/2 + 3 = 0?
-2, -1, 1
Factor -w**4 - 5*w**3 - 4*w**2.
-w**2*(w + 1)*(w + 4)
Suppose 39*o**3 + 37*o**2 - 80*o + 4 = 0. What is o?
-2, 2/39, 1
Factor -3*c**3 - 213*c**2/5 - 777*c/5 - 147/5.
-3*(c + 7)**2*(5*c + 1)/5
Find y such that 15*y**4/4 - 81*y**3/2 + 567*y**2/4 - 150*y - 36 = 0.
-1/5, 3, 4
Factor 30*z**2 - 597*z + 234.
3*(2*z - 39)*(5*z - 2)
Determine j, given that j**3/6 + 13*j**2/2 + 19*j/3 = 0.
-38, -1, 0
Find i such that 8*i**2/3 + 26*i/9 + 2/9 = 0.
-1, -1/12
Factor -3*o**2 + 12*o.
-3*o*(o - 4)
Determine z, given that -z**5/6 + 3*z**4/2 + 7*z**3/3 - 6*z**2 - 20*z/3 = 0.
-2, -1, 0, 2, 10
Factor 2*b**4 + 20*b**3 + 8*b**2 - 84*b + 54.
2*(b - 1)**2*(b + 3)*(b + 9)
Factor -q**3/2 + 31*q**2/2 - 75*q.
-q*(q - 25)*(q - 6)/2
Find d, given that -d**4/5 + 559*d**3 + 5593*d**2/5 + 2797*d/5 = 0.
-1, 0, 2797
Suppose -12*a**5/7 + 128*a**4/7 - 188*a**3/7 + 72*a**2/7 = 0. Calculate a.
0, 2/3, 1, 9
Suppose y**2/3 + 13*y/3 + 10 = 0. Calculate y.
-10, -3
Determine l so that -155*l**3/6 + l**2/3 + 155*l/6 - 1/3 = 0.
-1, 2/155, 1
Suppose 3*t**5 + 42*t**4 + 219*t**3 + 516*t**2 + 528*t + 192 = 0. Calculate t.
-4, -1
Factor 8*l**4 - 44*l**3 - 144*l**2 - 124*l - 32.
4*(l - 8)*(l + 1)**2*(2*l + 1)
Let u**3/11 + 309*u**2/11 + 31827*u/11 + 1092727/11 = 0. Calculate u.
-103
Find r such that 2*r**4/11 + 20*r**3/11 + 34*r**2/11 + 16*r/11 = 0.
-8, -1, 0
Let 3*h**3 + 72*h**2 + 333*h - 408 = 0. Calculate h.
-17, -8, 1
Factor v**5 + 37*v**4 - 38*v**3.
v**3*(v - 1)*(v + 38)
Factor -3*p**3/4 - 9*p**2/2 + 1011*p/4 - 495/2.
-3*(p - 15)*(p - 1)*(p + 22)/4
Factor -i**2 - 567*i - 1692.
-(i + 3)*(i + 564)
Determine t so that 3*t**3/4 - 594*t**2 + 156816*t - 13799808 = 0.
264
Solve -2*d**5/7 + 110*d**4/7 - 1084*d**3/7 - 11612*d**2/7 - 27714*d/7 - 17298/7 = 0.
-3, -1, 31
Let -8*s**5 + 6*s**3 + 2*s**2 = 0. What is s?
-1/2, 0, 1
Solve j**3 + 78*j**2 - 79*j = 0 for j.
-79, 0, 1
Factor -2*m**3/5 - 16*m**2/5 + 24*m/5 + 288/5.
-2*(m - 4)*(m + 6)**2/5
Factor -5*s**3 - 40*s**2 + 240*s.
-5*s*(s - 4)*(s + 12)
Let -6*d**3 - 266*d**2 - 88*d = 0. What is d?
-44, -1/3, 0
Solve -6*w**5 + 2*w**4 + 10*w**3 - 2*w**2 - 4*w = 0 for w.
-1, -2/3, 0, 1
Let 2*k**2 + 1028*k + 1026 = 0. Calculate k.
-513, -1
Factor 3*f**4 - 27*f**2 + 12*f + 36.
3*(f - 2)**2*(f + 1)*(f + 3)
Factor 35*m**4 - 570*m**3 + 1525*m**2 - 390*m.
5*m*(m - 13)*(m - 3)*(7*m - 2)
Determine p, given that -p**2/4 + 30*p = 0.
0, 120
Solve -b**5/6 - 47*b**4/6 - 463*b**3/6 - 1565*b**2/6 - 1064*b/3 - 490/3 = 0 for b.
-35, -7, -2, -1
Factor 4*p**2 + 324*p - 664.
4*(p - 2)*(p + 83)
Determine x so that -3*x**5 - 15*x**4/2 + 63*x**3/2 - 57*x**2/2 + 15*x/2 = 0.
-5, 0, 1/2, 1
Factor 2*k**2/5 - 4992*k/5 + 3115008/5.
2*(k - 1248)**2/5
Factor -44*u**3 - 8*u**2.
-4*u**2*(11*u + 2)
Factor -i**4 - 76*i**3 - 1707*i**2 - 9724*i - 8092.
-(i + 1)*(i + 7)*(i + 34)**2
Find y, given that y**4/7 + 72*y**3/7 - 21*y**2 + 74*y/7 = 0.
-74, 0, 1
Let -4*k**4 + 27*k**3 + 167*k**2 + 216*k + 44 = 0. What is k?
-2, -1/4, 11
Factor -2*g**3 - 90*g**2 - 966*g + 1058.
-2*(g - 1)*(g + 23)**2
Factor -2*b**3 - 44*b**2 - 322*b - 784.
-2*(b + 7)**2*(b + 8)
Let c**5/6 + c**4/2 - 5*c**3/6 - c**2/2 + 2*c/3 = 0. Calculate c.
-4, -1, 0, 1
Factor j**2/5 - 1712*j/5 + 732736/5.
(j - 856)**2/5
Factor -2*o**4 + 164*o**3 - 778*o**2 + 616*o.
-2*o*(o - 77)*(o - 4)*(o - 1)
Determine c so that -245*c**2 - 1030*c - 200 = 0.
-4, -10/49
Factor 441*y**3/4 + 1344*y**2 + 253*y + 12.
(y + 12)*(21*y + 2)**2/4
What is y in -3*y**2 - 141*y + 612 = 0?
-51, 4
Find h such that 9*h**5 - 66*h**4 + 39*h**3 + 570*h**2 - 1056*h + 288 = 0.
-3, 1/3, 2, 4
Solve -2*j**5 - 4*j**4 + 4*j**3 + 8*j**2 - 2*j - 4 = 0.
-2, -1, 1
What is y in 15*y**5 + 290*y**4 + 835*y**3 + 540*y**2 - 340*y - 320 = 0?
-16, -2, -1, 2/3
Factor -4*b**2 - 444*b - 1296.
-4*(b + 3)*(b + 108)
Factor -a**3/3 - a**2 - a - 1/3.
-(a + 1)**3/3
Factor -t**2 + 8*t + 20.
-(t - 10)*(t + 2)
Let 4*n**2 + 384*n - 388 = 0. What is n?
-97, 1
Let -5*r**4 - 4360*r**3 - 967760*r**2 - 7534080*r - 14929920 = 0. What is r?
-432, -4
Let -147*w**5 + 2877*w**4 + 5007*w**3 - 12813*w**2 + 5832*w - 756 = 0. Calculate w.
-3, 2/7, 1, 21
Suppose 4*s**5 + 28*s**4 - 40*s**3 - 64*s**2 = 0. Calculate s.
-8, -1, 0, 2
Suppose -3*y**2/8 - 213*y/8 - 105/4 = 0. Calculate y.
-70, -1
Factor -q**3/4 + 9*q**2/4 - 15*q/4 + 7/4.
-(q - 7)*(q - 1)**2/4
Find l such that -2*l**4/5 + 22*l**3/5 - 74*l**2/5 + 18*l - 36/5 = 0.
1, 3, 6
Factor -3*f**3 - 18*f**2 + 39*f + 126.
-3*(f - 3)*(f + 2)*(f + 7)
Factor -4*k**4 + 60*k**3 - 212*k**2 + 84*k + 360.
-4*(k - 10)*(k - 3)**2*(k + 1)
Factor -3*o**3/8 - 3*o**2 - 21*o/8.
-3*o*(o + 1)*(o + 7)/8
Determine w, given that -2*w**3/3 + 184*w**2/3 - 182*w/3 = 0.
0, 1, 91
Factor 5*i**4 + 45*i**3 - 5*i**2 - 45*i.
5*i*(i - 1)*(i + 1)*(i + 9)
Find n, given that n**2 + 42*n + 117 = 0.
-39, -3
Factor -2*r**5 + 16*r**4 - 26*r**3 + 12*r**2.
-2*r**2*(r - 6)*(r - 1)**2
Factor 3*i**3 + 627*i**2 + 33681*i + 95481.
3*(i + 3)*(i + 103)**2
Factor 3*x**2 + 162*x + 459.
3*(x + 3)*(x + 51)
Suppose -5*x**2 - 25*x = 0. Calculate x.
-5, 0
Factor -y**4/3 - 145*y**3/3 - 48*y**2.
-y**2*(y + 1)*(y + 144)/3
What is k in -5*k**3 + 10*k**2 + 40*k = 0?
-2, 0, 4
Suppose -c**5 + 6*c**4 - 4*c**3 - 6*c**2 + 5*c = 0. Calculate c.
-1, 0, 1, 5
Suppose -3*c**4/7 + 8*c**3/7 + 17*c**2/7 - 2*c/7 - 8/7 = 0. Calculate c.
-1, 2/3, 4
Factor 3*f**2/4 + 21*f/4.
3*f*(f + 7)/4
Factor -18*x**2/5 - 146*x/5 - 276/5.
-2*(x + 3)*(9*x + 46)/5
Factor -3*b**3 + 168*b**2 - 327*b + 162.
-3*(b - 54)*(b - 1)**2
Factor 2*p**3 + 256*p**2 + 8192*p.
2*p*(p + 64)**2
Let -w**3 + 55*w**2 + 58*w - 112 = 0. What is w?
-2, 1, 56
Factor 2*b**3/3 + 44*b**2/3 + 38*b.
2*b*(b + 3)*(b + 19)/3
Find d, given that -10*d**3/9 - 112*d**2/9 + 226*d/9 - 104/9 = 0.
-13, 4/5, 1
Let 4*w**4 + 1378*w**3 + 113328*w**2 - 934912*w - 495616 = 0. Calculate w.
-176, -1/2, 8
Find s such that 3*s**2 - 246*s + 1776 = 0.
8, 74
Let -4*o**5/5 + 8*o**4/5 + 8*o**3/5 - 16*o**2/5 - 4*o/5 + 8/5 = 0. What is o?
-1, 1, 2
Let -l**4 + 4*l**3 - 3*l**2 - 4*l + 4 = 0. Calculate l.
-1, 1, 2
Factor -2*o**3 - 6*o**2 + 8*o.
-2*o*(o - 1)*(o + 4)
Factor -3*z**3/2 + 33*z**2/8 - 15*z/8 - 3/4.
-3*(z - 2)*(z - 1)*(4*z + 1)/8
Factor -2*r**2/3 + 12*r.
-2*r*(r - 18)/3
Factor f**3/2 - 6*f**2 + 10*f.
f*(f - 10)*(f - 2)/2
Factor -3*y**5 + 228*y**4 + 942*y**3 + 1428*y**2 + 957*y + 240.
-3*(y - 80)*(y + 1)**4
Let 6*v**4 + 21*v**3 - 6*v**2 - 21*v = 0. What is v?
-7/2, -1, 0, 1
What is l in 5*l**3 + 1365*l**2 + 93840*l + 92480 = 0?
-136, -1
Let -1674027*x**2 - 17928*x - 48 = 0. What is x?
-4/747
Suppose q**4 - 235*q**3 - 943*q**2/4 - 59*q = 0. What is q?
-1/2, 0, 236
Factor 4*u**5 - 188*u**4 + 1476*u**3 - 4212*u**2 + 4104*u.
4*u*(u - 38)*(u - 3)**3
Solve 4*c**4 - 51*c**3/2 + 57*c**2 - 50*c + 12 = 0 for c.
3/8, 2
Suppose -4*w**4/7 + 2*w**3 + 8*w**2/7 = 0. What is w?
-1/2, 0, 4
What is u in -2*u**4 + 116*u**3 - 2176*u**2 + 13312*u = 0?
0, 16, 26
What is l in l**4/3 + 2*l**3/3 - 23*l**2/3 - 20*l = 0?
-4, -3, 0, 5
Solve -2*a**2/15 + 32/15 = 0.
-4, 4
Factor -2*k**2/7 - 2328*k/7 - 677448/7.
-2*(k + 582)**2/7
Let -33*k**3/5 + 34*k**2/5 - k/5 = 0. What is k?
0, 1/33, 1
Solve 20*z**3 - 232*z**2/3 - 332*z/3 - 40/3 = 0.
-1, -2/15, 5
Determine o, given that -6*o**4 - 111*o**3 + 303*o**2 - 249*o + 63 = 0.
-21, 1/2, 1
Factor 3*y**3 + 1782*y**2 + 1779*y.
3*y*(y + 1)*(y + 593)
Suppose l**5 + 13*l**4 + 12*l**3 = 0. What is l?
-12, -1, 0
Factor k**5/6 - k**4/6 - k**3 - k**2/3 + 5*k/6 + 1/2.
(k - 3)*(k - 1)*(k + 1)**3/6
What is l in -2*l**2 - 24*l + 440 = 0?
-22, 10
Factor 28*b**3 - 32*b**2 - 164*b + 24.
4*(b - 3)*(b + 2)*(7*b - 1)
Solve -5*m**3 + 15*m**2 = 0.
0, 3
Factor 2*c**3/9 + 34*c**2/3 + 416*c/3 - 1352/9.
2*(c