.
(i - 1529)*(i + 1)**2
Determine n, given that n**5/2 - 197*n**4/2 - 401*n**3/2 + 593*n**2/2 + 400*n - 398 = 0.
-2, 1, 199
What is p in 2*p**5/3 - 28*p**4/3 + 26*p**3/3 = 0?
0, 1, 13
Suppose -2*a**3 + 10*a**2 = 0. Calculate a.
0, 5
Factor 5*f**2 - 510*f.
5*f*(f - 102)
Factor 2*y**3/11 - 340*y**2/11 - 2094*y/11 - 288.
2*(y - 176)*(y + 3)**2/11
Solve -c**2 + 34*c - 64 = 0 for c.
2, 32
Factor 2*h**3 - 12*h**2 - 30*h - 16.
2*(h - 8)*(h + 1)**2
Determine c, given that 2*c**4/13 + 2*c**3/13 - 8*c**2/13 - 8*c/13 = 0.
-2, -1, 0, 2
Factor -h**2 + 94*h - 2209.
-(h - 47)**2
Factor -d**3 - 11*d**2 - 24*d + 36.
-(d - 1)*(d + 6)**2
What is a in 2*a**4/3 - 44*a**3/3 - 440*a**2/3 + 1004*a/3 - 174 = 0?
-9, 1, 29
Let -a**2/2 + 9*a - 16 = 0. What is a?
2, 16
Factor -a**3/5 - 44*a**2 + 667*a/5 - 446/5.
-(a - 2)*(a - 1)*(a + 223)/5
Factor z**3/4 + 31*z**2/4 + 43*z/2 + 14.
(z + 1)*(z + 2)*(z + 28)/4
Determine a, given that -2*a**4/5 + 79*a**3/5 + 122*a**2/5 + 41*a/5 = 0.
-1, -1/2, 0, 41
Factor -2*k**3/7 + 64*k**2/7 + 134*k/7 + 68/7.
-2*(k - 34)*(k + 1)**2/7
Let -m**2 + 63*m - 180 = 0. Calculate m.
3, 60
Suppose 3008*z**3/3 + 2004*z**2 + 1000*z - 4/3 = 0. Calculate z.
-1, 1/752
Let 2*b**3 + 116*b**2 + 832*b + 1600 = 0. Calculate b.
-50, -4
Find q such that -2*q**2/19 - 54*q/19 + 56/19 = 0.
-28, 1
Determine h so that -4*h**4 + 152*h**3 - 1584*h**2 + 2592*h = 0.
0, 2, 18
Factor -2*o**3/7 + 234*o**2/7 - 9126*o/7 + 118638/7.
-2*(o - 39)**3/7
What is v in -3*v**2/4 + 441*v - 64827 = 0?
294
Find w such that -3*w**5 + 84*w**4 + 4545*w**3 + 8826*w**2 + 4368*w = 0.
-26, -1, 0, 56
Factor -111*h**2/4 + 117*h/4 - 3/2.
-3*(h - 1)*(37*h - 2)/4
Factor -2*r**5 - 4*r**4 + 40*r**3 + 16*r**2 - 256*r + 256.
-2*(r - 2)**3*(r + 4)**2
Factor r**3 + 7*r**2 - r - 7.
(r - 1)*(r + 1)*(r + 7)
Factor p**3 + p**2 - p - 1.
(p - 1)*(p + 1)**2
Factor -12*y**2/5 + 5584*y/5 + 3728/5.
-4*(y - 466)*(3*y + 2)/5
Factor -2140*j**4 + 254*j**3 - 4*j**2.
-2*j**2*(10*j - 1)*(107*j - 2)
Factor -2*k**4/7 - 78*k**3/7 - 60*k**2 - 808*k/7 - 528/7.
-2*(k + 2)**3*(k + 33)/7
Factor -2*z**2/5 + 46*z/5 - 84/5.
-2*(z - 21)*(z - 2)/5
Factor -l**2 - 95*l - 9025/4.
-(2*l + 95)**2/4
Factor 117*h**2/2 + 129*h/2 + 6.
3*(h + 1)*(39*h + 4)/2
Factor -15*v**2 - 10*v + 5.
-5*(v + 1)*(3*v - 1)
Factor -a**3 + 4*a**2 + 7*a - 10.
-(a - 5)*(a - 1)*(a + 2)
Solve w**2/4 - 135*w/4 + 224 = 0 for w.
7, 128
Factor 2*r**4/3 + 14*r**3/3 + 20*r**2/3.
2*r**2*(r + 2)*(r + 5)/3
Suppose 2*j**2 - 480*j = 0. Calculate j.
0, 240
Determine h so that -h**5/2 + 9*h**4/2 + 117*h**3/2 - 553*h**2/2 - 2508*h - 2178 = 0.
-6, -1, 11
Find u, given that -2*u**3/3 + 14*u**2 + 8*u/3 - 56 = 0.
-2, 2, 21
Solve -4*h**4/3 + 100*h**3/3 - 60*h**2 - 100*h/3 + 184/3 = 0 for h.
-1, 1, 2, 23
Determine r, given that -4*r**5 - 80*r**4 - 444*r**3 - 704*r**2 + 272*r + 960 = 0.
-12, -5, -2, 1
Determine c, given that 2*c**4/5 - 4*c**2/5 + 2/5 = 0.
-1, 1
Factor 2*w**4 + 98*w**3 + 96*w**2.
2*w**2*(w + 1)*(w + 48)
Factor 10*a**3/3 + 58*a**2/9 - 4*a/9.
2*a*(a + 2)*(15*a - 1)/9
Suppose p**4 + 679*p**3/3 + 37850*p**2/3 - 21508*p + 8664 = 0. Calculate p.
-114, 2/3, 1
Suppose -3*m**4 - 138*m**3 - 1575*m**2 + 552*m + 6348 = 0. Calculate m.
-23, -2, 2
Factor -x**4/8 - 3*x**3/4 + 2*x**2.
-x**2*(x - 2)*(x + 8)/8
What is y in -4*y**2/5 - 104*y/5 - 576/5 = 0?
-18, -8
Find k such that 5*k**2 + 610*k + 18605 = 0.
-61
Suppose -7*f**2 - 4*f + 11 = 0. What is f?
-11/7, 1
Factor 4*a**2 + 4*a - 224.
4*(a - 7)*(a + 8)
Factor 12*p**3 + 52*p**2 + 52*p + 12.
4*(p + 1)*(p + 3)*(3*p + 1)
Factor -4*a**5 - 32*a**4 - 52*a**3 - 24*a**2.
-4*a**2*(a + 1)**2*(a + 6)
Solve 3*b**3/2 + 639*b**2/2 + 45369*b/2 + 1073733/2 = 0 for b.
-71
Factor 5*c**2 - 250*c - 7920.
5*(c - 72)*(c + 22)
Solve -5*f**3 - 640*f**2 - 1260*f = 0.
-126, -2, 0
Suppose -l**2 + 67*l - 66 = 0. What is l?
1, 66
Factor 9*h**3/2 + 138*h**2 + 177*h/2 - 45.
3*(h + 1)*(h + 30)*(3*h - 1)/2
Factor -2*d**5/3 + 216*d**4 - 16838*d**3 - 318796*d**2/3 - 216040*d - 145200.
-2*(d - 165)**2*(d + 2)**3/3
Determine u so that 59*u**4/8 + 183*u**3/8 + 17*u**2 + 3*u/2 = 0.
-2, -1, -6/59, 0
Determine q, given that -5*q**5/3 - 15*q**4 + 175*q**3/3 - 25*q**2 - 170*q/3 + 40 = 0.
-12, -1, 1, 2
Factor -l**2 + 226*l - 12769.
-(l - 113)**2
Suppose 3*k**4 - 21*k**3 + 54*k**2 - 60*k + 24 = 0. Calculate k.
1, 2
What is l in 5*l**4 - 30*l**3 + 25*l**2 + 60*l = 0?
-1, 0, 3, 4
Factor -5*y**2 - 7745*y + 7750.
-5*(y - 1)*(y + 1550)
What is a in -2*a**5 - 20*a**4 - 66*a**3 - 88*a**2 - 40*a = 0?
-5, -2, -1, 0
Let -4*b**5/3 - 6*b**4 - 2*b**3 + 8*b**2/3 = 0. Calculate b.
-4, -1, 0, 1/2
Suppose -4*o**3/11 - 58*o**2/11 - 160*o/11 - 6 = 0. Calculate o.
-11, -3, -1/2
Solve n**3 - 30*n**2 + 29*n = 0 for n.
0, 1, 29
Let 2*i**3 - 10*i**2 + 12*i = 0. What is i?
0, 2, 3
Find n such that 5*n**3/3 - 1115*n**2/3 - 1120*n/3 = 0.
-1, 0, 224
Factor -12*z**2 - 2913*z - 2178.
-3*(z + 242)*(4*z + 3)
Solve -b**5 - 4*b**4 + 2*b**3 + 12*b**2 - 9*b = 0 for b.
-3, 0, 1
Determine x so that 5*x**4 - 6155*x**3 = 0.
0, 1231
Suppose g**3 - 15*g**2 + 12*g + 28 = 0. Calculate g.
-1, 2, 14
Factor -o**3 - 37*o**2 - 370*o - 1104.
-(o + 6)*(o + 8)*(o + 23)
Find l, given that -25*l**5 + 220*l**4 - 705*l**3 + 950*l**2 - 380*l - 120 = 0.
-1/5, 2, 3
Factor -525*s**2 + 2230*s + 680.
-5*(7*s + 2)*(15*s - 68)
Suppose 4*a**2 - 608*a + 1200 = 0. What is a?
2, 150
Factor 2*s**4/7 + 12*s**3/7 - 32*s**2/7.
2*s**2*(s - 2)*(s + 8)/7
Suppose -x**5 - x**4 + 9*x**3 + 5*x**2 - 16*x - 12 = 0. Calculate x.
-3, -1, 2
Factor 2*y**3/9 - 25*y**2/9 + 14*y/3.
y*(y - 2)*(2*y - 21)/9
Determine n so that -4*n**3 - 340*n**2 - 968*n + 1312 = 0.
-82, -4, 1
Find b such that 2*b**3 + 26*b**2 - 52*b - 336 = 0.
-14, -3, 4
Suppose -9*a**4/5 + 12*a**3/5 + 39*a**2/5 - 42*a/5 = 0. Calculate a.
-2, 0, 1, 7/3
Solve -u**5/3 - 595*u**4/3 - 1778*u**3/3 - 1184*u**2/3 = 0 for u.
-592, -2, -1, 0
Factor 2*c**3 + 32*c**2 + 162*c + 252.
2*(c + 3)*(c + 6)*(c + 7)
Factor 7*m**2/2 - 169*m/6 + 4/3.
(m - 8)*(21*m - 1)/6
Determine h so that -4*h**4 + 12*h**2 - 8*h = 0.
-2, 0, 1
Factor d**2/3 - 2*d/3 + 1/3.
(d - 1)**2/3
Factor -5*i**2 - 290*i + 295.
-5*(i - 1)*(i + 59)
Factor -2*s**5/13 + 34*s**4/13 - 32*s**3/13.
-2*s**3*(s - 16)*(s - 1)/13
Factor -n**2/4 - 7*n/2 - 49/4.
-(n + 7)**2/4
Factor 2*j**2/5 + 56*j/5.
2*j*(j + 28)/5
Find x, given that -x**4/3 + 83*x**3/3 - 27*x**2 - 83*x/3 + 82/3 = 0.
-1, 1, 82
Factor n**3/2 + 5*n**2/2 - 26*n - 112.
(n - 7)*(n + 4)*(n + 8)/2
Factor -3*y**5 + 273*y**4 - 534*y**3 - 6*y**2 + 537*y - 267.
-3*(y - 89)*(y - 1)**3*(y + 1)
Solve -36*l**5 + 1572*l**4 - 13408*l**3 - 82224*l**2 - 89856*l - 27648 = 0 for l.
-3, -2/3, 24
Suppose c**3/10 - 57*c**2/10 + 479*c/10 - 423/10 = 0. What is c?
1, 9, 47
Determine m so that 5*m**3 + 25560*m**2 + 43554240*m + 24738808320 = 0.
-1704
Determine w, given that -2*w**4/15 + 2*w**3/5 - 8*w/15 = 0.
-1, 0, 2
Solve -36*h**4 + 76*h**3 - 8*h**2 = 0.
0, 1/9, 2
Solve -l**5/3 - 14*l**4/3 - 19*l**3 - 76*l**2/3 - 32*l/3 = 0.
-8, -4, -1, 0
Factor 242*j**2 - 132*j + 18.
2*(11*j - 3)**2
Suppose -4*z**3 + 60*z**2 - 108*z + 52 = 0. Calculate z.
1, 13
Let -5*z**3 + 160*z**2 - 1185*z - 1350 = 0. Calculate z.
-1, 15, 18
Determine r so that r**3 - 4*r**2 - 37*r + 40 = 0.
-5, 1, 8
Factor -5*l**4 + 55*l**3 - 820*l - 1120.
-5*(l - 8)*(l - 7)*(l + 2)**2
Factor -4*q**3 + 300*q**2 + 2628*q + 2324.
-4*(q - 83)*(q + 1)*(q + 7)
Determine k so that -2*k**2 + 12*k + 80 = 0.
-4, 10
Solve -3*c**3/2 - 16*c**2 - 10*c = 0.
-10, -2/3, 0
Factor 9*p**3 - 597*p**2 + 9999*p - 3267.
3*(p - 33)**2*(3*p - 1)
Determine b, given that -3*b**3/7 + 1440*b**2/7 = 0.
0, 480
Determine n so that -n**4/3 - 9*n**3 - 74*n**2/3 - 16*n = 0.
-24, -2, -1, 0
Solve 3*f**2/7 + 87*f/7 - 90/7 = 0.
-30, 1
Factor 3*u**4 + 264*u**3 + 1020*u**2 + 1008*u.
3*u*(u + 2)**2*(u + 84)
Suppose 2*r**3/11 - 710*r**2/11 + 2104*r/11 + 256 = 0. Calculate r.
-1, 4, 352
Find m such that -m**4 + 34*m**3 - 200*m**2 + 302*m - 135 = 0.
1, 5, 27
Factor -9*v**2 - 48*v + 36.
-3*(v + 6)*(3*v - 2)
Suppose 2*z**5 - 64*z**4 + 236*z**3 - 344*z**2 + 226*z - 56 = 0. What is z?
1, 28
Determine w so that 4*w**5/3 - 32*w**4/3 + 52*w**3/3 - 8*w**2 = 0.
0, 1, 6
Suppose 2*j**5 + 8*j**4 - 22*j**3 + 12*j**2 = 0. Calculate j.
-6, 0, 1
What is r in 4*r**4/7 - 36*r**3 + 240*r**2/7 + 496*r/7 = 0?
-1, 0, 2, 62
Suppos