0*z - 76032 = 0. What is z?
-33, -24
Suppose -2*n**2/5 + 336*n/5 - 512 = 0. Calculate n.
8, 160
Factor 4*f**3 + 160*f**2 + 452*f + 296.
4*(f + 1)*(f + 2)*(f + 37)
Suppose 15*f**4 + 249*f**3 + 108*f**2 - 564*f + 192 = 0. What is f?
-16, -2, 2/5, 1
Factor 2*q**2 + 496*q - 1000.
2*(q - 2)*(q + 250)
Factor x**2/6 - 11*x/6 + 3.
(x - 9)*(x - 2)/6
Find t, given that t**3/3 + 4*t**2/3 - 7*t = 0.
-7, 0, 3
Suppose 5*i**2 - 14520*i + 10541520 = 0. Calculate i.
1452
Factor -4*z**3 + 12*z**2.
-4*z**2*(z - 3)
Determine a, given that 3*a**3 - 987*a**2 + 3912*a - 3900 = 0.
2, 325
Factor 4*k**2 - 168*k + 1764.
4*(k - 21)**2
Factor 4*d**5 + 48*d**4 - 108*d**3 + 56*d**2.
4*d**2*(d - 1)**2*(d + 14)
Factor -s**2/2 + 69*s/2 - 504.
-(s - 48)*(s - 21)/2
Factor -4*m**3 - 40*m**2 - 124*m - 120.
-4*(m + 2)*(m + 3)*(m + 5)
Suppose 4*d**5 + 143*d**4 + 1256*d**3 - 467*d**2 - 1260*d + 324 = 0. What is d?
-18, -1, 1/4, 1
Factor h**2 + 90*h + 89.
(h + 1)*(h + 89)
Let 4*f**4 + 76*f**3/7 - 24*f**2/7 = 0. Calculate f.
-3, 0, 2/7
Find l such that -l**4/4 - 27*l**3/2 - 62*l**2 - 69*l/2 + 441/4 = 0.
-49, -3, 1
Factor -g**3/5 + 41*g**2/5 + g/5 - 41/5.
-(g - 41)*(g - 1)*(g + 1)/5
Factor 2*z**2 + 2296*z + 658952.
2*(z + 574)**2
Factor 4*y**3/7 - 436*y**2/7 + 1600*y + 5376.
4*(y - 56)**2*(y + 3)/7
Determine t so that -t**2 - 16*t - 28 = 0.
-14, -2
Suppose 4*u**2 + 80*u + 384 = 0. What is u?
-12, -8
Factor -z**3/2 - 38*z**2 - 73*z/2 + 75.
-(z - 1)*(z + 2)*(z + 75)/2
Determine n so that n**2 - 2096*n - 2097 = 0.
-1, 2097
Determine k so that 5*k**4 + 240*k**3 + 2860*k**2 - 960*k - 11520 = 0.
-24, -2, 2
Solve -4*k**2 - 13*k - 9 = 0.
-9/4, -1
Factor -y**4 - 60*y**3 + 3*y**2 + 178*y - 120.
-(y - 1)**2*(y + 2)*(y + 60)
Suppose -14*y**2/5 + 214*y/5 - 12 = 0. What is y?
2/7, 15
Let -s**5 - 2*s**4 + 2*s**2 + s = 0. Calculate s.
-1, 0, 1
Factor -2*l**3/19 - 66*l**2/19 - 510*l/19 + 578/19.
-2*(l - 1)*(l + 17)**2/19
Determine q so that -q**3/2 - 17*q**2/4 + 35*q/4 + 25/2 = 0.
-10, -1, 5/2
Factor -2*i**2 + 26*i + 180.
-2*(i - 18)*(i + 5)
Factor 4*r**4 - 28*r**3 - 40*r**2 + 64*r.
4*r*(r - 8)*(r - 1)*(r + 2)
Find s, given that 3*s**3/7 - 96*s**2/7 = 0.
0, 32
Suppose j**5/5 + j**4 + 3*j**3/5 - 9*j**2/5 = 0. Calculate j.
-3, 0, 1
Let -2*l**2/3 + 14*l + 5504/3 = 0. What is l?
-43, 64
Factor 3*l**3/5 - 33*l**2/5 - 15*l - 39/5.
3*(l - 13)*(l + 1)**2/5
Factor 2*z**2/9 + 104*z/9 + 34/3.
2*(z + 1)*(z + 51)/9
Factor x**3/4 - 29*x**2/4 - 61*x/4 - 31/4.
(x - 31)*(x + 1)**2/4
Factor -4*s**4/7 - 44*s**3/7 - 24*s**2 - 272*s/7 - 160/7.
-4*(s + 2)**3*(s + 5)/7
Suppose -22*z**5/19 + 668*z**4/19 - 6048*z**3/19 + 7436*z**2/19 + 85910*z/19 - 31944/19 = 0. What is z?
-3, 4/11, 11
Factor 2*n**2/13 + 1220*n/13 - 2448/13.
2*(n - 2)*(n + 612)/13
Determine u, given that -4*u**5/7 + 38*u**4/7 - 50*u**3/7 + 16*u**2/7 = 0.
0, 1/2, 1, 8
Suppose 2*h**2/21 + 232*h/21 - 78/7 = 0. What is h?
-117, 1
What is d in 2*d**4 - 6*d**3 + 2*d**2 + 6*d - 4 = 0?
-1, 1, 2
Suppose -22562500*z**2 + 19000*z - 4 = 0. What is z?
1/2375
Determine d so that -d**3/7 - 38*d**2/7 - 396*d/7 - 648/7 = 0.
-18, -2
Let 3*j**2 + 81*j + 276 = 0. Calculate j.
-23, -4
Suppose -2*o**3 - 164*o**2 - 322*o - 160 = 0. Calculate o.
-80, -1
Factor f**2/6 - 150*f + 899/6.
(f - 899)*(f - 1)/6
Let -32*v**5/3 + 400*v**4/3 + 218*v**3 + 250*v**2/3 + 28*v/3 = 0. What is v?
-1, -1/4, 0, 14
Determine i, given that -196*i**3 - 83776*i**2 + 47920*i - 6848 = 0.
-428, 2/7
Determine x so that -x**5/2 - 9*x**4/2 - 5*x**3/2 + 29*x**2/2 + 21*x + 8 = 0.
-8, -1, 2
Factor -2*x**4/13 - 38*x**3/13 - 68*x**2/13.
-2*x**2*(x + 2)*(x + 17)/13
Solve -4*y**3 - 80*y**2/7 + 124*y/7 - 16/7 = 0 for y.
-4, 1/7, 1
Let 8*f**4/3 - 214*f**3/3 - 62*f**2/3 + 214*f/3 + 18 = 0. Calculate f.
-1, -1/4, 1, 27
Factor -h**2 + 1231*h + 1232.
-(h - 1232)*(h + 1)
Factor -b**5 + 5*b**4 - b**3 - 17*b**2 + 22*b - 8.
-(b - 4)*(b - 1)**3*(b + 2)
Solve -3*k**5/5 - 15*k**4 + 2238*k**3/5 - 11388*k**2/5 + 21336*k/5 - 13728/5 = 0 for k.
-44, 2, 13
Factor 3*m**5/2 + 3*m**4/2 - 783*m**3/2 + 4617*m**2/2.
3*m**2*(m - 9)**2*(m + 19)/2
Factor 4*d**4 + 32*d**3 - 452*d**2 - 480*d.
4*d*(d - 8)*(d + 1)*(d + 15)
Suppose -3*l**5/4 + 207*l**4/4 - 2631*l**3/2 + 28671*l**2/2 - 204687*l/4 - 267501/4 = 0. What is l?
-1, 13, 19
Factor 5*u**2 + 55*u - 130.
5*(u - 2)*(u + 13)
Factor 2*u**4 + 324*u**3 - 1656*u**2 + 2332*u - 1002.
2*(u - 3)*(u - 1)**2*(u + 167)
Suppose -j**5/3 + 20*j**4/3 + 125*j**3/3 = 0. Calculate j.
-5, 0, 25
Let 2*l**2/13 - 8*l/13 + 8/13 = 0. What is l?
2
What is a in 5*a**2 + 28400*a + 40328000 = 0?
-2840
Find f, given that 24*f**5/7 + 4*f**4/7 - 104*f**3/7 - 16*f**2/7 + 32*f/7 = 0.
-2, -2/3, 0, 1/2, 2
Factor 121*r**4/10 + 341*r**3/5 + 829*r**2/10 - 186*r/5 + 18/5.
(r + 3)**2*(11*r - 2)**2/10
Factor 3*f**2 - 306*f + 4920.
3*(f - 82)*(f - 20)
Factor -35*o**2/3 + 405*o + 350/3.
-5*(o - 35)*(7*o + 2)/3
Determine c so that 2*c**2/17 - 22*c/17 + 36/17 = 0.
2, 9
Determine y so that -7*y**5/5 - 61*y**4/5 + 88*y**3/5 - 4*y**2 = 0.
-10, 0, 2/7, 1
Factor 2*l**2/5 + 172*l/5 + 3698/5.
2*(l + 43)**2/5
Factor 3*k**4 + 249*k**3 - 36*k**2 - 2940*k + 3984.
3*(k - 2)**2*(k + 4)*(k + 83)
Factor 4*y**3 + 26*y**2 - 16*y - 14.
2*(y - 1)*(y + 7)*(2*y + 1)
Factor 4*x**3 - 12*x**2 - 1012*x + 1020.
4*(x - 17)*(x - 1)*(x + 15)
Suppose -t**2/7 + 16*t/7 - 4 = 0. Calculate t.
2, 14
Factor -5*p**3 + 15*p**2 + 20*p.
-5*p*(p - 4)*(p + 1)
What is r in r**4/6 - 7*r**3/6 + r**2 = 0?
0, 1, 6
Find k such that 2*k**5/5 - 2*k**4 - 2*k**3/5 + 2*k**2 = 0.
-1, 0, 1, 5
Suppose 2*j**3 - 4*j**2 - 14*j - 8 = 0. What is j?
-1, 4
Let 4*l**2/5 - 412*l/5 - 168 = 0. What is l?
-2, 105
Factor -2*n**2/11 - 20*n/11 - 50/11.
-2*(n + 5)**2/11
Let 16*z**5 - 164*z**4 - 324*z**3 - 144*z**2 = 0. What is z?
-1, -3/4, 0, 12
Determine g so that -2*g**3 - 100*g**2 - 94*g + 196 = 0.
-49, -2, 1
Factor u**4/4 - 7*u**2/4 + 3*u/2.
u*(u - 2)*(u - 1)*(u + 3)/4
Factor 3*k**4 - 30*k**3 + 93*k**2 - 90*k.
3*k*(k - 5)*(k - 3)*(k - 2)
Find r, given that -4*r**3 - 196*r**2 + 404*r - 204 = 0.
-51, 1
Let 3*k**3/2 - 18441*k**2/2 + 37785609*k/2 - 25807570947/2 = 0. Calculate k.
2049
Determine h so that -5*h**4 + 65*h**3 + 145*h**2 + 75*h = 0.
-1, 0, 15
Find h, given that -2187*h**2 - 2106*h - 507 = 0.
-13/27
Find o, given that -2*o**2 + 708*o - 6210 = 0.
9, 345
Let 5*v**5 + 3*v**4 - 17*v**3 + v**2 + 12*v - 4 = 0. Calculate v.
-2, -1, 2/5, 1
Factor -224*q**2 + 670*q + 6.
-2*(q - 3)*(112*q + 1)
Factor 5*j**2 - 115*j.
5*j*(j - 23)
Find l, given that l**4/2 - 41*l**3 + 2033*l**2/2 - 7942*l = 0.
0, 19, 44
Determine b so that -3*b**5 - 51*b**4 - 228*b**3 - 180*b**2 = 0.
-10, -6, -1, 0
Determine z, given that 9*z**5 + 2*z**4 - 54*z**3 - 84*z**2 - 43*z - 6 = 0.
-1, -2/9, 3
Find d such that 3*d**3/4 - 18*d**2 + 1536 = 0.
-8, 16
Determine w, given that -3*w**2/4 - 45*w + 567/4 = 0.
-63, 3
Let h**4/5 + 13*h**3/5 + 10*h**2 + 32*h/5 - 96/5 = 0. Calculate h.
-6, -4, 1
Factor 2*o**3/3 - 26*o**2 + 252*o.
2*o*(o - 21)*(o - 18)/3
Solve -2*q**3/9 - 58*q**2/9 + 80*q/9 + 8800/9 = 0.
-20, 11
Solve -4*u**3 - 492*u**2 - 15372*u - 14884 = 0.
-61, -1
Factor -2*j**3/9 + 4*j**2/3 - 2*j.
-2*j*(j - 3)**2/9
What is l in -l**4 + 397*l**3 - 1184*l**2 + 788*l = 0?
0, 1, 2, 394
Find y, given that 3*y**5/5 + 18*y**4/5 + 3*y**3/5 - 72*y**2/5 + 48*y/5 = 0.
-4, 0, 1
Factor -2*l**5/7 + 36*l**4/7 - 34*l**3/7.
-2*l**3*(l - 17)*(l - 1)/7
Factor -2*o**3 - 9792*o**2 - 15980544*o - 8693415936.
-2*(o + 1632)**3
Determine y, given that 3*y**2 - 393*y - 2040 = 0.
-5, 136
Factor h**4/9 + 13*h**3/9 - h**2/9 - 13*h/9.
h*(h - 1)*(h + 1)*(h + 13)/9
Find m such that 5*m**5 - 190*m**4 + 230*m**3 + 32300*m**2 + 63125*m + 31250 = 0.
-10, -1, 25
Suppose -f**5/7 - f**4/7 + f**3 + 13*f**2/7 + 6*f/7 = 0. Calculate f.
-2, -1, 0, 3
Factor -2*i**2/7 - 178*i/7 - 348/7.
-2*(i + 2)*(i + 87)/7
Find s such that -5*s**4 + 1170*s**3 - 68445*s**2 = 0.
0, 117
Find c, given that 20*c**4 + 425*c**3 + 385*c**2 - 425*c - 405 = 0.
-81/4, -1, 1
Factor 20*u**3/9 + 92*u**2/9 + 40*u/9 - 32/9.
4*(u + 1)*(u + 4)*(5*u - 2)/9
Factor 5*l**2 - 1285*l - 2590.
5*(l - 259)*(l + 2)
Suppose v**2/4 + 287*v - 1149/4 = 0. Calculate v.
-1149, 1
Determine l so that 2*l**3/17 - 128*l**2/17 + 2170*l/17 - 3844/17 = 0.
2, 31
Let 2*h**3 - 2*h**2 - 8*h + 8 = 0. What is h?
-2, 1, 2
What is w in 45*w**2 + 96*w 