a**3/3 - 20*a**2 + 6*a + 18 = 0. Calculate a.
-3, -1, 1, 3
Let 81*l**4/2 - 369*l**3 + 2437*l**2/2 - 1722*l + 882 = 0. What is l?
14/9, 3
Let 8*l**5/21 + 18*l**4/7 - 2*l**3/3 = 0. Calculate l.
-7, 0, 1/4
Suppose 2*w**4 + 244*w**3 + 954*w**2 + 1184*w + 472 = 0. What is w?
-118, -2, -1
Factor -k**2 - 3*k + 504.
-(k - 21)*(k + 24)
Solve -j**3 + 63*j**2 - 1215*j + 6561 = 0.
9, 27
Suppose 4*y**4 - 76*y**3 + 304*y**2 + 384*y = 0. Calculate y.
-1, 0, 8, 12
Factor -2*x**3 + 56*x - 96.
-2*(x - 4)*(x - 2)*(x + 6)
Find a such that -20*a**4 - 175*a**3 - 435*a**2 - 280*a + 100 = 0.
-5, -2, 1/4
Factor 2*j**3/13 - 56*j**2/13 - 248*j/13 - 256/13.
2*(j - 32)*(j + 2)**2/13
Find i such that 3*i**3 + 216*i**2 - 444*i = 0.
-74, 0, 2
What is p in 4*p**2/5 + 676*p/5 - 1368/5 = 0?
-171, 2
Factor -2*m**4/5 + 170*m**3 + 5148*m**2/5 + 10328*m/5 + 6896/5.
-2*(m - 431)*(m + 2)**3/5
Solve n**3/3 + 52*n**2 - 53*n - 314/3 = 0 for n.
-157, -1, 2
Factor -2*u**2 + 48*u.
-2*u*(u - 24)
Find o such that -2*o**2/7 - 428*o/7 - 426/7 = 0.
-213, -1
Find w, given that -5*w**3 + 85*w**2 - 260*w = 0.
0, 4, 13
Solve -240*a**5 + 5*a**4 + 480*a**3 - 10*a**2 - 240*a + 5 = 0.
-1, 1/48, 1
Factor z**3/2 - 535*z**2/2 + 35644*z + 35912.
(z - 268)**2*(z + 1)/2
Let -u**5/2 + 13*u**4/2 - 32*u**3 + 74*u**2 - 80*u + 32 = 0. What is u?
1, 2, 4
Let -a**2/4 - 33*a/4 + 17/2 = 0. What is a?
-34, 1
Factor 5*a**3 - 285*a**2 + 820*a - 540.
5*(a - 54)*(a - 2)*(a - 1)
Let 3*u**5 - 27*u**4 + 21*u**3 + 27*u**2 - 24*u = 0. Calculate u.
-1, 0, 1, 8
What is v in 5*v**2/2 + 295*v/2 + 2035 = 0?
-37, -22
Factor m**2 + 982*m + 241081.
(m + 491)**2
Factor -2*k**5 - 2*k**4 + 12*k**3 - 4*k**2 - 10*k + 6.
-2*(k - 1)**3*(k + 1)*(k + 3)
Suppose -2*o**2/9 - 580*o/9 - 578/9 = 0. What is o?
-289, -1
Factor 2*a**2/5 - 254*a/5 + 1452/5.
2*(a - 121)*(a - 6)/5
Factor -4*u**2 + 208*u - 2704.
-4*(u - 26)**2
Suppose 4*c**3 - 172*c**2 + 1788*c - 1620 = 0. Calculate c.
1, 15, 27
Factor -2*u**4/5 - 32*u**3/5 - 58*u**2/5 - 28*u/5.
-2*u*(u + 1)**2*(u + 14)/5
Factor -2*j**5 + 4*j**4 + 6*j**3 - 8*j**2 - 8*j.
-2*j*(j - 2)**2*(j + 1)**2
Factor -4*x**5 - 164*x**4 - 756*x**3 - 1324*x**2 - 1016*x - 288.
-4*(x + 1)**3*(x + 2)*(x + 36)
Factor -2*n**2 - 744*n - 69192.
-2*(n + 186)**2
Suppose -3*o**2/7 - 38490*o/7 - 123456675/7 = 0. Calculate o.
-6415
Determine t so that t**3/2 - 21*t**2/2 = 0.
0, 21
Find p such that 12*p**4 + 15*p**3 - 9*p**2 - 15*p - 3 = 0.
-1, -1/4, 1
Solve 2*y**2 + 2*y - 112 = 0 for y.
-8, 7
Let 2*n**4 - 264*n**3 + 9224*n**2 - 33792*n + 32768 = 0. Calculate n.
2, 64
Factor t**3/4 + 13*t**2/4 - 7*t/2.
t*(t - 1)*(t + 14)/4
Factor f**2 + 27*f - 28.
(f - 1)*(f + 28)
Find j, given that -3*j**4 + 45*j**3 + 96*j**2 - 828*j + 960 = 0.
-5, 2, 16
Let -2*m**5 - 448*m**4 - 24634*m**3 + 51076*m**2 = 0. Calculate m.
-113, 0, 2
Factor 3*c**3 - 181*c**2 - 122*c.
c*(c - 61)*(3*c + 2)
Factor 3*w**3/4 + 39*w**2 + 855*w/4 + 621/2.
3*(w + 3)**2*(w + 46)/4
Determine j, given that 7*j**5/6 + 127*j**4/3 + 460*j**3 + 3968*j**2/3 + 1024*j/3 = 0.
-16, -4, -2/7, 0
Suppose 9*s**5 - 66*s**4 + 135*s**3 - 30*s**2 - 144*s + 96 = 0. What is s?
-1, 1, 4/3, 2, 4
Determine g, given that g**2/10 + g + 12/5 = 0.
-6, -4
Factor -g**2/3 + 55*g/3 + 38.
-(g - 57)*(g + 2)/3
Factor y**3 + 12*y**2 + 11*y.
y*(y + 1)*(y + 11)
What is o in o**4 - 76*o**3 + 1797*o**2 - 11470*o - 30752 = 0?
-2, 16, 31
Determine n so that 3*n**5/7 + 25*n**4/7 + 5*n**3/7 - 25*n**2/7 - 8*n/7 = 0.
-8, -1, -1/3, 0, 1
Factor c**4/4 + 191*c**3/4 + 3399*c**2 + 106964*c + 1256464.
(c + 44)**3*(c + 59)/4
Find l such that -4*l**4 + 276*l**3 - 4320*l**2 - 15552*l = 0.
-3, 0, 36
Suppose 4*f**3 + 60*f**2 + 48*f - 112 = 0. Calculate f.
-14, -2, 1
Factor -3*c**4/4 + 183*c**2/4 + 135*c.
-3*c*(c - 9)*(c + 4)*(c + 5)/4
Determine d so that -4*d**3 - 48*d**2 + 240*d - 256 = 0.
-16, 2
Solve t**2/12 - 11*t/12 - 13/6 = 0.
-2, 13
Factor -2*l**3 - 188*l**2 - 5848*l - 60112.
-2*(l + 26)*(l + 34)**2
Solve -5*w**3 - 485*w**2 - 955*w - 475 = 0.
-95, -1
Factor 2*c**3/25 + 322*c**2/5.
2*c**2*(c + 805)/25
Suppose 3*c**5 - 51*c**4 + 318*c**3 - 918*c**2 + 1215*c - 567 = 0. What is c?
1, 3, 7
Determine i so that 2*i**2 + 48*i + 126 = 0.
-21, -3
Factor 2*y**5 + 206*y**4 + 204*y**3.
2*y**3*(y + 1)*(y + 102)
Let -6*w**5 + 35*w**4 + 168*w**3 - 621*w**2 - 2052*w - 324 = 0. Calculate w.
-3, -1/6, 6
Solve 4*v**3 + 64*v**2 + 256*v = 0.
-8, 0
Factor 3*b**2 - 2358*b.
3*b*(b - 786)
Find f, given that 2*f**5/5 + 4*f**4 + 56*f**3/5 + 4*f**2 - 58*f/5 - 8 = 0.
-5, -4, -1, 1
Let -2*l**2/7 + 2248*l/7 + 2250/7 = 0. Calculate l.
-1, 1125
Factor m**2/6 - 8*m/3 + 14/3.
(m - 14)*(m - 2)/6
What is t in 4*t**5 - 60*t**4 + 192*t**3 + 256*t**2 = 0?
-1, 0, 8
Find r such that -2*r**3/23 - 14*r**2/23 - 24*r/23 = 0.
-4, -3, 0
Let 256*t**5 - 704*t**4 - 1296*t**3 + 6460*t**2 - 7700*t + 3000 = 0. What is t?
-3, 5/4, 2
Factor -2*y**3/15 + 58*y**2/15.
-2*y**2*(y - 29)/15
What is q in 4*q**2 + 96*q - 4048 = 0?
-46, 22
What is u in -2*u**5/3 - 4*u**4/3 + 24*u**3 + 108*u**2 + 126*u = 0?
-3, 0, 7
Factor -2*n**2/3 - 202*n/3 - 132.
-2*(n + 2)*(n + 99)/3
Find a such that 5*a**3 - 1990*a**2 - 3995*a - 2000 = 0.
-1, 400
Solve v**3 - 22*v**2 - 47*v - 24 = 0.
-1, 24
Solve 10*q**3/3 + 5*q**2/3 = 0.
-1/2, 0
Factor -o**2/4 + o - 1.
-(o - 2)**2/4
Find z such that z**2/3 - 636*z + 303372 = 0.
954
Factor 5*l**4 - 685*l**3 + 2020*l**2 - 1340*l.
5*l*(l - 134)*(l - 2)*(l - 1)
Solve -21*z**5 - 300*z**4 - 63*z**3 + 300*z**2 + 84*z = 0.
-14, -1, -2/7, 0, 1
Determine a, given that 6*a**4 - 94*a**3 - 358*a**2 - 410*a - 152 = 0.
-4/3, -1, 19
Determine i, given that 2*i**3/7 - 30*i**2/7 + 54*i/7 - 26/7 = 0.
1, 13
Factor -s**2/5 + 7*s/5 - 12/5.
-(s - 4)*(s - 3)/5
Factor 3*o**2 + 111*o + 936.
3*(o + 13)*(o + 24)
Solve -2*c**5/9 + 74*c**4/9 - 718*c**3/9 + 574*c**2/9 + 80*c - 72 = 0.
-1, 1, 18
Factor -2*l**3/5 - 11*l**2/5 - 17*l/5 - 6/5.
-(l + 2)*(l + 3)*(2*l + 1)/5
Find w, given that 3*w**4 + 462*w**3 + 17784*w**2 - 462*w - 17787 = 0.
-77, -1, 1
Find q, given that -q**2/4 - 5*q/2 + 39/4 = 0.
-13, 3
Let 14*l**2 - 10174*l - 2908 = 0. What is l?
-2/7, 727
Suppose 2*h**2/7 - 2*h/7 = 0. What is h?
0, 1
Factor c**3/2 - 2*c**2 - 5*c/2.
c*(c - 5)*(c + 1)/2
Factor -316*l**2 - 620*l + 24.
-4*(l + 2)*(79*l - 3)
Let i**3/3 - 7*i**2/3 + 4*i/3 + 4 = 0. Calculate i.
-1, 2, 6
Factor 5*y**2 + 170*y - 1435.
5*(y - 7)*(y + 41)
Factor -g**4/5 + 5*g**3 - 211*g**2/5 + 147*g - 180.
-(g - 12)*(g - 5)**2*(g - 3)/5
Factor -n**3 - n**2 + 2*n.
-n*(n - 1)*(n + 2)
Factor 3*n**3/7 - 9*n**2/7 - 3*n/7 + 9/7.
3*(n - 3)*(n - 1)*(n + 1)/7
Factor -f**4 + 561*f**3 + 2822*f**2 + 4524*f + 2264.
-(f - 566)*(f + 1)*(f + 2)**2
Factor -2*k**5/9 + 4*k**4/3 - 2*k**3 + 8*k**2/9.
-2*k**2*(k - 4)*(k - 1)**2/9
Find t such that -3*t**2 - 159*t + 1260 = 0.
-60, 7
Solve -3*o**2/8 - 243*o/4 - 19683/8 = 0.
-81
Let -5*p**5 + 85*p**4 + 745*p**3 - 7825*p**2 - 76000*p - 160000 = 0. What is p?
-5, 16
What is t in -4*t**5 - 12*t**4 + 28*t**3 + 28*t**2 - 72*t + 32 = 0?
-4, -2, 1
Determine n, given that -n**2 - 3*n - 2 = 0.
-2, -1
Solve -5*h**3/2 + 41*h**2 - 16*h = 0.
0, 2/5, 16
Factor c**3/7 + 163*c**2/7 + 1256*c/7 + 2480/7.
(c + 4)**2*(c + 155)/7
Solve t**2/4 + 29*t/4 + 42 = 0.
-21, -8
Factor -5*y**2 + 11770*y - 6926645.
-5*(y - 1177)**2
Factor 4*h**2 + 348*h - 712.
4*(h - 2)*(h + 89)
Solve 4*t**2/3 + 112*t + 6656/3 = 0.
-52, -32
Find n, given that 2*n**3/5 + 106*n**2/5 - 108*n/5 = 0.
-54, 0, 1
Determine a, given that -21*a**5/2 - 501*a**4/4 + 45*a**3/2 + 645*a**2/4 - 12*a - 36 = 0.
-12, -1, -1/2, 4/7, 1
Factor 3*y**4 - 6*y**3 - 1320*y**2 + 2646*y - 1323.
3*(y - 21)*(y - 1)**2*(y + 21)
Let -2*z**5/19 - 74*z**4/19 - 338*z**3/19 - 590*z**2/19 - 452*z/19 - 128/19 = 0. Calculate z.
-32, -2, -1
Determine g so that g**5/7 - g**4/7 - 10*g**3/7 + 10*g**2/7 + 9*g/7 - 9/7 = 0.
-3, -1, 1, 3
Factor -4*n**4 + 68*n**3 + 72*n**2.
-4*n**2*(n - 18)*(n + 1)
Find z such that -2*z**2/7 - 36*z/7 - 34/7 = 0.
-17, -1
Suppose q**4/4 - 31*q**3 + 3717*q**2/4 + 3969*q/2 = 0. Calculate q.
-2, 0, 63
Factor -5*q**3 + 90*q**2 - 85*q.
-5*q*(q - 17)*(q - 1)
Factor 2*x**5/11 - 12*x**3/11 + 16*x**2/11 - 6*x/11.
2*x*(x - 1)**3*(x + 3)/11
Factor -2*v**3/5 + 16*v**2/5 - 6*v.
-2*v*(v - 5)*(v - 3)/5
Factor v**2/2 - 10*v.
v*(v - 20)/2
Suppose 2*q**3 + 8*q**2 + 8*q = 0. What is q?
-2, 0
Factor 