2.
-2*(d - 372)*(d - 3)
Let 4*k**4 + 288*k**3 + 4680*k**2 + 19712*k - 24684 = 0. What is k?
-51, -11, 1
Solve 192*p**2/7 + 144*p/7 + 27/7 = 0 for p.
-3/8
Solve 5*s**5 + 120*s**4 + 830*s**3 + 1320*s**2 + 605*s = 0 for s.
-11, -1, 0
Factor 2*s**3/13 - 16*s**2/13 - 96*s/13.
2*s*(s - 12)*(s + 4)/13
Suppose -4*z**4 - 48*z**3 + 60*z**2 + 104*z = 0. Calculate z.
-13, -1, 0, 2
Determine l so that 5*l**5 + 90*l**4 + 400*l**3 - 910*l**2 - 8085*l - 6860 = 0.
-7, -1, 4
Factor -w**4/3 - w**3 + 46*w**2/3 + 16*w.
-w*(w - 6)*(w + 1)*(w + 8)/3
Factor 2*q**3 - 284*q**2 + 9176*q + 65712.
2*(q - 74)**2*(q + 6)
Find b such that 3*b**2 - 109*b + 36 = 0.
1/3, 36
What is i in -80*i**4 + 600*i**3 - 1245*i**2 + 515*i - 60 = 0?
1/4, 3, 4
Factor -49*u**4/2 - 644*u**3 - 4323*u**2 - 1196*u - 169/2.
-(u + 13)**2*(7*u + 1)**2/2
Find f such that -56*f**5 - 674*f**4 + 36*f**3 + 722*f**2 + 20*f - 48 = 0.
-12, -1, -2/7, 1/4, 1
Determine x, given that 3*x**5 + 27*x**4 + 93*x**3 + 153*x**2 + 120*x + 36 = 0.
-3, -2, -1
Solve -2*j**5/5 - 24*j**4/5 - 72*j**3/5 = 0.
-6, 0
Factor 2*h**3 - 14*h**2 - 2*h + 14.
2*(h - 7)*(h - 1)*(h + 1)
Factor b**4/6 + 4*b**3/3 - 10*b**2 - 24*b.
b*(b - 6)*(b + 2)*(b + 12)/6
Factor -35*z**3 - 430*z**2 + 860*z + 280.
-5*(z - 2)*(z + 14)*(7*z + 2)
Determine n so that 4*n**3/7 + 522*n**2/7 - 1336*n/7 - 114 = 0.
-133, -1/2, 3
Factor b**3/5 - 291*b**2/5 - 292*b/5.
b*(b - 292)*(b + 1)/5
Factor -5*n**2 + 1035*n - 12610.
-5*(n - 194)*(n - 13)
Find o, given that -o**2 + 1660*o - 1659 = 0.
1, 1659
Suppose 18*x**5/7 + 114*x**4/7 + 200*x**3/7 + 136*x**2/7 + 32*x/7 = 0. What is x?
-4, -1, -2/3, 0
Suppose -2*d**4/15 + 8*d**3/3 - 32*d**2/5 - 384*d/5 = 0. What is d?
-4, 0, 12
Determine g so that -2*g**5 - 16*g**4 + 28*g**3 + 96*g**2 + 54*g = 0.
-9, -1, 0, 3
Factor 3*v**4 + 24*v**3 + 54*v**2 - 81.
3*(v - 1)*(v + 3)**3
Factor -2*v**3/3 + 42*v**2 - 124*v/3.
-2*v*(v - 62)*(v - 1)/3
Factor -5*v**4/2 + 35*v**3/2 - 20*v**2 - 40*v.
-5*v*(v - 4)**2*(v + 1)/2
Factor -10115*d**4 - 48110*d**3 - 63460*d**2 - 14440*d.
-5*d*(7*d + 2)*(17*d + 38)**2
Suppose 4044168*w**3/11 + 4049856*w**2/11 + 5690*w/11 + 2/11 = 0. What is w?
-1, -1/1422
What is l in 2*l**3/7 + 12*l**2/7 + 10*l/7 = 0?
-5, -1, 0
Solve -5*n**5/3 + 47*n**4/3 - 46*n**3 + 128*n**2/3 - 32*n/3 = 0 for n.
0, 2/5, 1, 4
What is a in -2*a**3 + 8*a**2 + 10*a = 0?
-1, 0, 5
Factor -d**4 - 12*d**3 - 3*d**2 + 208*d - 192.
-(d - 3)*(d - 1)*(d + 8)**2
Solve 2*j**4/13 + 134*j**3/13 + 30*j**2 + 386*j/13 + 128/13 = 0 for j.
-64, -1
Determine s so that -s**2 - 89*s - 1380 = 0.
-69, -20
Solve -u**2/4 - 343*u - 1371/4 = 0.
-1371, -1
Factor 3*u**2 - 210*u + 3675.
3*(u - 35)**2
Factor f**2 + 290*f + 21025.
(f + 145)**2
Solve 314928*s**5 - 14731632*s**4 - 3283416*s**3 - 273888*s**2 - 10149*s - 141 = 0.
-1/18, 47
Find v such that 2*v**2 - 3646*v - 3648 = 0.
-1, 1824
Factor x**3 - 8*x**2 - 28*x + 80.
(x - 10)*(x - 2)*(x + 4)
Let -2*y**5/9 + 2*y**4/9 + 22*y**3/9 + 14*y**2/9 - 20*y/9 - 16/9 = 0. What is y?
-2, -1, 1, 4
Find h, given that -2*h**3 + 4*h**2 - 2*h = 0.
0, 1
Factor -3*d**2/5 - 36*d/5 + 987.
-3*(d - 35)*(d + 47)/5
Solve 60*o**5 + 352*o**4 + 440*o**3 - 368*o**2 - 372*o + 144 = 0.
-3, -1, 1/3, 4/5
Factor -4*r**2/7 - 864*r/7 - 1712/7.
-4*(r + 2)*(r + 214)/7
Factor -18*x**2/5 - 114*x/5 - 24.
-6*(x + 5)*(3*x + 4)/5
Factor f**4/6 + 83*f**3/3 - 511*f**2/6 - 338*f/3.
f*(f - 4)*(f + 1)*(f + 169)/6
Factor 15*c**2/2 - 1047*c/2 - 105.
3*(c - 70)*(5*c + 1)/2
Factor -70756*m**4 + 136192*m**3 + 10540*m**2 + 200*m.
-4*m*(m - 2)*(133*m + 5)**2
Solve 4*r**5 + 591*r**4 + 22340*r**3 + 37594*r**2 + 10512*r - 5329 = 0.
-73, -1, 1/4
Solve a**2/7 + 96*a/7 + 2304/7 = 0 for a.
-48
Factor 4*n**3 + 8*n**2 - 4*n - 8.
4*(n - 1)*(n + 1)*(n + 2)
Let 7*g**2 + 23*g + 6 = 0. Calculate g.
-3, -2/7
Solve 2*m**4/7 - 16*m**3/7 + 2*m**2 = 0 for m.
0, 1, 7
Find p, given that -2*p**5 + 92*p**4 + 194*p**3 - 92*p**2 - 192*p = 0.
-2, -1, 0, 1, 48
Factor 7*b**3/6 - 50*b**2/3 + 158*b/3 - 48.
(b - 2)**2*(7*b - 72)/6
Let 3*q**5/2 - 249*q**4/2 + 3105*q**3/2 - 14703*q**2/2 + 14640*q - 10350 = 0. Calculate q.
2, 5, 69
Factor -5*v**5 - 10*v**4 + 60*v**3 - 70*v**2 + 25*v.
-5*v*(v - 1)**3*(v + 5)
Factor u**2 + 684*u + 116964.
(u + 342)**2
Determine q so that 100*q**5 - 2280*q**4 + 4576*q**3 + 115008*q**2 - 93632*q + 18816 = 0.
-6, 2/5, 14
Suppose -5*m**4/3 + 4120*m**3/3 - 848720*m**2/3 = 0. What is m?
0, 412
Suppose 26*r**2/5 - 6*r + 4/5 = 0. What is r?
2/13, 1
Factor 3*i**2/2 - 282*i + 13254.
3*(i - 94)**2/2
Solve 2*p**3 + 6*p**2 - 32*p + 24 = 0.
-6, 1, 2
Factor 12*h**3/7 - 3*h**2 - 102*h/7 - 24/7.
3*(h - 4)*(h + 2)*(4*h + 1)/7
Find y, given that 90*y**5 + 2455*y**4 + 15830*y**3 - 12460*y**2 + 1960*y = 0.
-14, 0, 2/9, 1/2
Let -o**4/5 + 6*o**3/5 + 17*o**2/5 - 6*o/5 - 16/5 = 0. Calculate o.
-2, -1, 1, 8
Factor -s**5 - 2*s**4 + 3*s**3 + 8*s**2 + 4*s.
-s*(s - 2)*(s + 1)**2*(s + 2)
Find o, given that -o**5/3 - 35*o**4/3 - 200*o**3/3 + 860*o**2/3 - 208*o = 0.
-26, -12, 0, 1, 2
Find f, given that -2*f**5 + 54*f**4 + 186*f**3 - 166*f**2 - 432*f + 360 = 0.
-3, -2, 1, 30
Determine y so that y**3/4 - 9*y**2/4 - 5*y/2 = 0.
-1, 0, 10
Factor -x**3/4 - 25*x**2/4 - 42*x - 36.
-(x + 1)*(x + 12)**2/4
Factor -3*n**3 + 114*n**2 + 363*n + 246.
-3*(n - 41)*(n + 1)*(n + 2)
Factor -5*w**2/4 - 155*w/4 - 75/2.
-5*(w + 1)*(w + 30)/4
Let u**5 - 73*u**4 + 1363*u**3 - 939*u**2 - 6264*u - 3888 = 0. What is u?
-1, 3, 36
Solve -2*y**4/5 - 4*y**3/5 + 2*y**2 + 12*y/5 = 0 for y.
-3, -1, 0, 2
Determine r, given that -3*r**3 + 104*r**2 + 35*r = 0.
-1/3, 0, 35
Solve 15*q**3 - 65*q**2 - 295*q + 105 = 0.
-3, 1/3, 7
Determine j so that 5*j**2 + 20*j + 20 = 0.
-2
Factor -j**4/3 - 4*j**3 + 13*j**2/3.
-j**2*(j - 1)*(j + 13)/3
Solve -3*q**4 - 251*q**3 + 1131*q**2 - 1141*q + 264 = 0.
-88, 1/3, 1, 3
Find t, given that -2*t**3 - 44*t**2 + 150*t = 0.
-25, 0, 3
Factor -4*l**3 + 52*l**2 - 92*l + 44.
-4*(l - 11)*(l - 1)**2
Let -4*w**5/5 + 108*w**4/5 + 72*w**3 = 0. Calculate w.
-3, 0, 30
Suppose z**5/3 - 7*z**4/3 + 5*z**3/3 + 7*z**2/3 - 2*z = 0. Calculate z.
-1, 0, 1, 6
What is a in -5*a**4 - 305*a**3 + 335*a**2 + 1565*a + 930 = 0?
-62, -1, 3
Suppose -9*f**2 - 42*f + 15 = 0. What is f?
-5, 1/3
Factor c**2/2 - 12*c + 22.
(c - 22)*(c - 2)/2
Find o, given that -o**2/3 + 16*o/3 + 260/3 = 0.
-10, 26
Solve 16*y**4 + 1356*y**3 + 29228*y**2 + 20832*y - 7056 = 0 for y.
-42, -1, 1/4
What is x in -2*x**4 + 6*x**3 + 6*x**2 - 22*x + 12 = 0?
-2, 1, 3
Determine i, given that i**3 + 3*i**2 - 6*i - 8 = 0.
-4, -1, 2
Determine c so that -2*c**5/3 - 4*c**4 - 6*c**3 + 8*c**2/3 + 8*c = 0.
-3, -2, 0, 1
Suppose 4*z**3 - 112*z**2 + 1040*z - 3200 = 0. What is z?
8, 10
Let g**5/6 + 2*g**4 - 34*g**3/3 - 93*g**2 + 3091*g/6 - 605 = 0. What is g?
-11, 2, 3, 5
Suppose 2*g**3/3 - 38*g**2/3 + 80*g - 168 = 0. What is g?
6, 7
Factor 5*x**4 + 15*x**3 - 30*x**2 - 40*x.
5*x*(x - 2)*(x + 1)*(x + 4)
Let -5*u**2 + 1475*u - 4380 = 0. Calculate u.
3, 292
Factor -2*b**4 - 30*b**3 + 8*b**2 + 120*b.
-2*b*(b - 2)*(b + 2)*(b + 15)
Find r such that -3*r**5 - 636*r**4 + 642*r**3 + 636*r**2 - 639*r = 0.
-213, -1, 0, 1
Let -w**3/7 - 67*w**2 = 0. What is w?
-469, 0
Find w, given that 3*w**4/5 + 44*w**3/5 - 67*w**2/5 - 44*w/5 + 64/5 = 0.
-16, -1, 1, 4/3
Solve -64*s**2 + 1440*s - 8100 = 0 for s.
45/4
Suppose q**4 + 29*q**3 + 199*q**2 + 171*q = 0. What is q?
-19, -9, -1, 0
Factor 4*i**3 - 292*i**2 - 1864*i - 2528.
4*(i - 79)*(i + 2)*(i + 4)
Factor 2*z**3 + 186*z**2 + 1054*z + 870.
2*(z + 1)*(z + 5)*(z + 87)
Factor 4*p**4 + 376*p**3 + 368*p**2 - 376*p - 372.
4*(p - 1)*(p + 1)**2*(p + 93)
Suppose -5*x**3 + 300*x**2 - 585*x + 290 = 0. Calculate x.
1, 58
Factor 3*k**4/5 - 24*k**3/5 + 18*k**2/5 + 24*k/5 - 21/5.
3*(k - 7)*(k - 1)**2*(k + 1)/5
Find b such that -2*b**2/11 + 14848*b/11 - 27557888/11 = 0.
3712
Solve 3*o**2 + 27*o - 486 = 0.
-18, 9
Suppose -4*j**4 - 20*j**3 + 28*j**2 + 20*j - 24 = 0. Calculate j.
-6, -1, 1
Suppose 2*r**4/9 + 260*r**3/9 + 250*r**2/9 - 1040*r/9 - 344/3 = 0. What is r?
-129, -2, -1, 2
Determine z so that -6*z**4 - 15*z**3 + 261*z**2/8 - 105*z/8 + 3/2 = 0.
-4, 1/4, 1
Let -5*a**2 + 40*a + 100 = 0. Calculate a.
-2, 10
Factor 2*n**4/3 - 4*n**3/3 + 4*n/3 - 2/3.
2*(n - 1)**3*(n + 1)/3
Factor 5*h**5 + 20*h**4 + 15*h**3.
5*h**3*(h + 1)*(h + 3)
Find u such that 3*u**5/7 - 18*u**4/7 + 27*