4320.
-(r - 480)*(r - 3)**2
Factor -2*j**3 - 30*j**2 - 108*j.
-2*j*(j + 6)*(j + 9)
Determine i, given that -12*i**3 - 225*i**2 + 561*i - 126 = 0.
-21, 1/4, 2
Factor -2*p**2 - 4*p + 16.
-2*(p - 2)*(p + 4)
Suppose a**3/2 - 48*a**2 + 95*a/2 = 0. Calculate a.
0, 1, 95
Factor 5*f**2 - 5*f.
5*f*(f - 1)
Find h such that 2*h**5 + 8*h**4 - 276*h**3 - 568*h**2 - 286*h = 0.
-13, -1, 0, 11
Solve -5*z**4/3 + 40*z**3/3 = 0.
0, 8
Let 28*t**5 - 120*t**4 + 172*t**3 - 96*t**2 + 16*t = 0. Calculate t.
0, 2/7, 1, 2
Solve 4*f**2 + 144*f - 4180 = 0.
-55, 19
Determine m so that -2*m**5/5 + 6*m**4/5 + 4*m**3 - 12*m**2 - 18*m/5 + 54/5 = 0.
-3, -1, 1, 3
Determine n, given that -3*n**4 + 66*n**3 - 435*n**2 + 900*n = 0.
0, 5, 12
Factor 2*w**2 - 308*w + 11858.
2*(w - 77)**2
Factor 75*z**4/4 + 2565*z**3/4 + 17577*z**2/4 - 77841*z/4.
3*z*(z - 3)*(5*z + 93)**2/4
Determine h so that -5*h**3 + 150*h**2 - 280*h = 0.
0, 2, 28
Factor 4*o**3/7 - 124*o**2/7 + 620*o/7 - 500/7.
4*(o - 25)*(o - 5)*(o - 1)/7
Find w, given that 3*w**5 + 6*w**4 - 6*w**2 - 3*w = 0.
-1, 0, 1
Factor 4*l**4 - 68*l**3 + 372*l**2 - 700*l + 392.
4*(l - 7)**2*(l - 2)*(l - 1)
Factor 2*b**2/7 + 484*b/7 + 29282/7.
2*(b + 121)**2/7
Let 36*s**4/5 + 336*s**3/5 + 397*s**2/5 + 21*s + 8/5 = 0. What is s?
-8, -1, -1/6
Suppose -z**5 - 8*z**4 - 21*z**3 - 22*z**2 - 8*z = 0. What is z?
-4, -2, -1, 0
Factor -3*a**2 + 780*a - 50700.
-3*(a - 130)**2
Solve -o**2 + 6924*o - 11985444 = 0.
3462
Solve 2*v**4/3 - 76*v**2/3 + 48*v - 70/3 = 0.
-7, 1, 5
Factor -2*n**3/9 + 94*n**2/3 - 1120*n + 9800/9.
-2*(n - 70)**2*(n - 1)/9
Solve g**3 - 11*g**2 + 31*g - 21 = 0.
1, 3, 7
Factor -o**2/2 + 1704*o - 1451808.
-(o - 1704)**2/2
Let 100*y**4/9 - 608*y**3/3 + 948*y**2 - 216*y = 0. What is y?
0, 6/25, 9
Factor 2*y**4 - 2*y**3 - 10*y**2 - 6*y.
2*y*(y - 3)*(y + 1)**2
Let -v**3/2 - 31*v**2/2 - 43*v - 28 = 0. Calculate v.
-28, -2, -1
Find u, given that 2*u**3/5 - 12*u**2/5 + 2*u = 0.
0, 1, 5
Find v such that -72*v**2 - 296*v - 2738/9 = 0.
-37/18
Suppose g**3/4 + 2607*g**2/4 + 2265483*g/4 + 656234909/4 = 0. Calculate g.
-869
Factor 2*u**4/3 - 22*u**3/3 + 64*u**2/3 - 56*u/3.
2*u*(u - 7)*(u - 2)**2/3
Factor -4*p**2/7 - 48*p/7 - 144/7.
-4*(p + 6)**2/7
Factor -2*d**2/5 - 64*d/5 + 66/5.
-2*(d - 1)*(d + 33)/5
Factor 4*z**3/3 - 18*z**2 + 194*z/3 - 28.
2*(z - 7)*(z - 6)*(2*z - 1)/3
Factor 3*v**2 - 12*v - 96.
3*(v - 8)*(v + 4)
Solve 5*a**5 + 170*a**4 + 595*a**3 - 170*a**2 - 600*a = 0.
-30, -4, -1, 0, 1
Solve -3*o**2 - 3*o + 90 = 0 for o.
-6, 5
Let 14*y**4/5 - 58*y**3 + 462*y**2/5 - 22*y - 76/5 = 0. What is y?
-2/7, 1, 19
Factor 3*y**4/5 - 1893*y**3/5 - 1896*y**2/5.
3*y**2*(y - 632)*(y + 1)/5
Solve 4*d**5 - 44*d**4 + 168*d**3 - 256*d**2 + 128*d = 0.
0, 1, 2, 4
Solve -w**4/3 + 11*w**3/3 + w**2/3 - 11*w/3 = 0.
-1, 0, 1, 11
Determine a, given that 2*a**5/7 + 144*a**4/7 + 682*a**3/7 + 796*a**2/7 - 552*a/7 - 1072/7 = 0.
-67, -2, 1
Suppose -3*x**3/7 + 15*x**2/7 + 66*x/7 + 48/7 = 0. What is x?
-2, -1, 8
Suppose -4*k**2 + k + 1/2 = 0. What is k?
-1/4, 1/2
Factor -3*l**4/4 - 27*l**3/2 - 183*l**2/4 + 135*l - 75.
-3*(l - 1)**2*(l + 10)**2/4
Factor -5*o**4 - 20*o**3 - 25*o**2 - 10*o.
-5*o*(o + 1)**2*(o + 2)
Factor u**4/3 + 2*u**3 + 5*u**2/3.
u**2*(u + 1)*(u + 5)/3
Determine z, given that -4*z**4 + 36*z**3 + 84*z**2 + 44*z = 0.
-1, 0, 11
Factor -2*p**2 + 104*p + 106.
-2*(p - 53)*(p + 1)
Suppose -4*r**2 - 29264*r - 53523856 = 0. What is r?
-3658
Find z such that 2*z**3/7 - 22*z**2/7 + 80*z/7 - 96/7 = 0.
3, 4
Factor 2*b**4/9 + 64*b**3/9 + 284*b**2/9 - 1216*b/3 + 722.
2*(b - 3)**2*(b + 19)**2/9
Factor 3*v**3 + 186*v**2 + 2583*v.
3*v*(v + 21)*(v + 41)
What is b in b**4/3 + 4*b**3 + 7*b**2 + 10*b/3 = 0?
-10, -1, 0
Factor 3*c**2 - 327*c - 1008.
3*(c - 112)*(c + 3)
Let f**3/7 + 13*f**2/7 + 23*f/7 + 11/7 = 0. Calculate f.
-11, -1
Factor x**2/3 + 388*x/3 + 37636/3.
(x + 194)**2/3
Factor 5*g**3 + 5*g**2 - 45*g - 45.
5*(g - 3)*(g + 1)*(g + 3)
Solve 2*n**2/3 - 380*n/3 + 374 = 0 for n.
3, 187
Factor 3*r**2 - 585*r.
3*r*(r - 195)
Factor 6*r**2 - 1022*r + 340.
2*(r - 170)*(3*r - 1)
Find u such that -5*u**3 - 20*u**2 - 15*u = 0.
-3, -1, 0
Suppose 5*p**5 + 40*p**4 - 50*p**3 - 40*p**2 + 45*p = 0. Calculate p.
-9, -1, 0, 1
Let s**3/8 - 585*s**2/8 + 86427*s/8 - 254043/8 = 0. What is s?
3, 291
Factor -2*f**4/5 - 8*f**3 + 184*f**2/5 - 192*f/5.
-2*f*(f - 2)**2*(f + 24)/5
Find g such that -g**5/3 - 31*g**4 + 32*g**3 + 188*g**2/3 = 0.
-94, -1, 0, 2
What is n in 5*n**3 - 235*n**2 + 3080*n - 7260 = 0?
3, 22
Find h such that -3943*h**3 - 7884*h**2 - 3939*h + 2 = 0.
-1, 2/3943
Solve -26*w**2/7 - 542*w/7 + 12 = 0.
-21, 2/13
Factor -t**3/3 + 1747*t**2 - 3052009*t + 5331859723/3.
-(t - 1747)**3/3
Suppose -2*l**3/13 - 890*l**2/13 + 1786*l/13 - 894/13 = 0. What is l?
-447, 1
Let 12*j**5/5 + 164*j**4/5 + 464*j**3/5 + 192*j**2/5 - 512*j/5 - 64 = 0. Calculate j.
-10, -2, -2/3, 1
Factor 2*v**3 - 40*v**2 + 224*v - 384.
2*(v - 12)*(v - 4)**2
Factor u**3/2 + 13*u**2/4 + 4*u + 5/4.
(u + 1)*(u + 5)*(2*u + 1)/4
Let 1548*y**2 + 4648*y + 12 = 0. What is y?
-3, -1/387
Suppose 2*m**3/13 + 150*m**2/13 + 148*m/13 = 0. Calculate m.
-74, -1, 0
Let -17*b**3/6 - b**2/3 = 0. Calculate b.
-2/17, 0
Factor 2*a**3/21 - 10*a**2/21 + 2*a/3 - 2/7.
2*(a - 3)*(a - 1)**2/21
Factor 34*k**3/7 - 30*k**2/7 - 412*k/7 - 48/7.
2*(k - 4)*(k + 3)*(17*k + 2)/7
Factor -35*h**4 - 235*h**3 - 350*h**2 + 120*h.
-5*h*(h + 3)*(h + 4)*(7*h - 2)
Determine u so that 5*u**4 - 240*u**3 + 1705*u**2 - 4290*u + 3600 = 0.
2, 3, 40
Find j, given that j**4/5 + 14*j**3/5 + 36*j**2/5 + 34*j/5 + 11/5 = 0.
-11, -1
Factor 4*k**4 + 17664*k**3 + 29251584*k**2 + 21529165824*k + 5942049767424.
4*(k + 1104)**4
Determine v, given that -16*v**4 - 48*v**3 - 3*v**2 + 52*v - 12 = 0.
-2, 1/4, 3/4
What is x in -12*x**5 + 40*x**4 + 396*x**3 + 440*x**2 - 192*x = 0?
-3, -2, 0, 1/3, 8
Factor -4*q**4 - 26*q**3 - 26*q**2 + 20*q.
-2*q*(q + 2)*(q + 5)*(2*q - 1)
Factor -s**4/5 + 2*s**3/5 + 3*s**2/5 - 8*s/5 + 4/5.
-(s - 2)*(s - 1)**2*(s + 2)/5
Solve -z**2 - 834*z - 173889 = 0 for z.
-417
Factor -15*n**2/8 - 501*n/8 - 99/4.
-3*(n + 33)*(5*n + 2)/8
Suppose 35*p**5/3 - 15*p**4 - 20*p**3 + 20*p**2/3 = 0. What is p?
-1, 0, 2/7, 2
Factor -3*q**2 + 390*q + 1197.
-3*(q - 133)*(q + 3)
Factor l**2/3 - 47*l/3 + 46/3.
(l - 46)*(l - 1)/3
Factor -3*n**3/2 + 249*n**2/2 + 801*n.
-3*n*(n - 89)*(n + 6)/2
Solve 30*y**2 - 52*y - 16 = 0 for y.
-4/15, 2
Factor 3*z**3 + 900*z**2 - 921*z - 5418.
3*(z - 3)*(z + 2)*(z + 301)
Factor -n**4/2 - 18*n**3 - 17*n**2 + 18*n + 35/2.
-(n - 1)*(n + 1)**2*(n + 35)/2
Factor -4*z**5 + 912*z**4 - 908*z**3.
-4*z**3*(z - 227)*(z - 1)
Let 2*w**3/3 + 128*w**2/9 + 896*w/9 + 2048/9 = 0. What is w?
-8, -16/3
Factor x**3/6 - 865*x**2/2 + 748225*x/2 - 647214625/6.
(x - 865)**3/6
Factor 5*v**3 + 3955*v**2 + 764000*v - 7200000.
5*(v - 9)*(v + 400)**2
Factor -4*g**3/7 + 836*g**2/7 - 2472*g/7.
-4*g*(g - 206)*(g - 3)/7
Factor -k**3/5 + 7*k**2/5 + 2*k - 16/5.
-(k - 8)*(k - 1)*(k + 2)/5
Suppose -2*v**5 - 4*v**4 + 60*v**3 - 80*v**2 - 58*v + 84 = 0. What is v?
-7, -1, 1, 2, 3
Factor y**5 - 5*y**4 + y**3 + 17*y**2 - 22*y + 8.
(y - 4)*(y - 1)**3*(y + 2)
Determine o, given that -2*o**3/5 - 2184*o**2/5 + 2186*o/5 = 0.
-1093, 0, 1
Factor -15*l**3 + 1494*l**2 - 5160*l - 2304.
-3*(l - 96)*(l - 4)*(5*l + 2)
Solve 50*o**4/3 + 830*o**3/3 + 3262*o**2/3 + 1954*o/3 - 176 = 0.
-11, -24/5, -1, 1/5
Suppose -y**4/2 + 3*y**3/2 + 17*y**2/2 - 39*y/2 + 10 = 0. What is y?
-4, 1, 5
Factor 195*a**3 + 80*a**2 - 780*a - 320.
5*(a - 2)*(a + 2)*(39*a + 16)
Factor -m**3 - 23*m**2 + 4*m + 92.
-(m - 2)*(m + 2)*(m + 23)
Factor -4*k**3/9 - 104*k**2/9.
-4*k**2*(k + 26)/9
Factor s**3 + 19*s**2 - 89*s + 69.
(s - 3)*(s - 1)*(s + 23)
Factor l**3/9 - 344*l**2 + 799799*l/3 - 4786418/9.
(l - 1547)**2*(l - 2)/9
What is a in 3*a**2 - 336*a + 5301 = 0?
19, 93
Find d, given that -d**3/3 + 29*d**2/3 - 55*d/3 + 9 = 0.
1, 27
Suppose 45*g**4 + 21*g**3 - 118*g**2 + 44*g + 8 = 0. What is g?
-2, -2/15, 2/3, 1
Factor 7*d**2 - 761*d - 218.
(d - 109)*(7*d + 2)
Determine d, given that 2*d**4 - 4*d**3 - 6*d**2 = 0.
-1, 0, 3
Determine s so that -3*s**3 + 315*s**2 + 639*s + 321 = 0.
-1, 107
Find k such that 2*k**2 + 50*k + 48 = 0.
-24, -1
Factor -5*s**2 + 45*s.
-5*s*(s - 9)
Find c, given that 2*c**2/7 - 26*c/7 + 72/7 = 0.
4, 9
Let j**3/3 - 11*j**2 - 106