t 5*i**5 - 25*i**4 + 35*i**3 + 5*i**2 - 40*i + 20 = 0. Calculate i.
-1, 1, 2
Factor -8*q**2/7 - 8076*q/7 + 4040/7.
-4*(q + 1010)*(2*q - 1)/7
Suppose -f**2 + 127*f + 1080 = 0. What is f?
-8, 135
Factor j**2 - 43*j + 42.
(j - 42)*(j - 1)
Find m, given that -2*m**4/11 - 12*m**3/11 + 10*m**2/11 + 84*m/11 - 80/11 = 0.
-5, -4, 1, 2
Solve 10*p**2 + 95*p + 45 = 0 for p.
-9, -1/2
Factor -2*c**2/3 - 1144*c/3 + 1150.
-2*(c - 3)*(c + 575)/3
Determine m, given that 4*m**3/5 - 24*m**2/5 - 188*m - 912/5 = 0.
-12, -1, 19
Factor -s**5 + 2*s**4 + 3*s**3 - 4*s**2 - 4*s.
-s*(s - 2)**2*(s + 1)**2
Let 4*x**2 - 168*x + 1764 = 0. What is x?
21
Factor j**5 - 29*j**4 - 161*j**3 - 299*j**2 - 236*j - 68.
(j - 34)*(j + 1)**3*(j + 2)
Factor 2*t**2/21 - 38*t/7 + 16/3.
2*(t - 56)*(t - 1)/21
Let -5*t**2/4 + 8405*t/2 - 14128805/4 = 0. Calculate t.
1681
Factor 5*z**3 + 1575*z**2 + 165375*z + 5788125.
5*(z + 105)**3
Factor -2*n**3/5 + 24*n**2/5 + 246*n/5 + 76.
-2*(n - 19)*(n + 2)*(n + 5)/5
Find j, given that j**4/11 - 10*j**3/11 + 8*j**2/11 + 10*j/11 - 9/11 = 0.
-1, 1, 9
Find l such that -30*l**5 - 575*l**4 - 2955*l**3 - 835*l**2 + 10485*l + 8910 = 0.
-9, -2, -1, 11/6
Solve -3*a**2 - 3486*a - 1012683 = 0 for a.
-581
Suppose -3*n**4/4 - 15*n**3/4 - 21*n**2/4 - 9*n/4 = 0. What is n?
-3, -1, 0
Factor -2*m**3/3 - 100*m**2/3 + 106*m/3 + 68.
-2*(m - 2)*(m + 1)*(m + 51)/3
Determine n, given that -30*n**4/11 + 18*n**3/11 = 0.
0, 3/5
Factor 3*i**3 - 111*i**2 - 360*i.
3*i*(i - 40)*(i + 3)
Suppose -2*p**2 - 10*p + 12 = 0. Calculate p.
-6, 1
Let q**3/2 - 7*q**2/2 + 11*q/2 - 5/2 = 0. What is q?
1, 5
Let -36*c**4 - 132*c**3 + 47*c**2 - 4*c = 0. Calculate c.
-4, 0, 1/6
Factor a**2/7 - 4*a/7.
a*(a - 4)/7
Suppose -5*d**3/3 - 65*d**2/3 - 115*d/3 - 55/3 = 0. What is d?
-11, -1
Find y such that 5*y**2 - 7700*y + 2964500 = 0.
770
Determine d, given that -2*d**3 + 644*d**2 - 52480*d + 102400 = 0.
2, 160
Factor 3*h**3 + 108*h**2.
3*h**2*(h + 36)
Determine d so that 15*d**2/8 - 21*d/8 - 9/2 = 0.
-1, 12/5
Factor -t**3 + 22*t**2 + 135*t.
-t*(t - 27)*(t + 5)
Let -2*f**5 + 128*f**4/7 - 328*f**3/7 + 148*f**2/7 + 246*f/7 - 180/7 = 0. Calculate f.
-6/7, 1, 3, 5
Factor f**2/2 - 41*f + 1681/2.
(f - 41)**2/2
Let 75*d**4 - 225*d**3 + 243*d**2 - 111*d + 18 = 0. Calculate d.
2/5, 3/5, 1
Factor -2*i**3/5 + 6*i**2/5 + 2*i/5 - 6/5.
-2*(i - 3)*(i - 1)*(i + 1)/5
Factor 4*k**3 + 68*k**2 + 380*k + 700.
4*(k + 5)**2*(k + 7)
Factor -t**2/2 - 7*t/2 - 5.
-(t + 2)*(t + 5)/2
Let 2*c**2/13 - 18*c/13 - 20/13 = 0. Calculate c.
-1, 10
Factor 63*i**2 + 48*i - 15.
3*(i + 1)*(21*i - 5)
Let 66*g**4 + 80*g**3 - 6*g**2 - 20*g = 0. What is g?
-1, -2/3, 0, 5/11
Find x such that -3*x**4 + 159*x**3/4 - 303*x**2/4 + 33*x/2 = 0.
0, 1/4, 2, 11
Factor 4*y**2 + 284*y + 1320.
4*(y + 5)*(y + 66)
Let -2*b**2 + 184*b = 0. Calculate b.
0, 92
Factor 2*z**5 - 94*z**4 + 1386*z**3 - 8330*z**2 + 17836*z.
2*z*(z - 26)*(z - 7)**3
Suppose -3*d**5 + 42*d**4 - 135*d**3 = 0. What is d?
0, 5, 9
Factor y**4/5 + 7*y**3/5 + 6*y**2/5.
y**2*(y + 1)*(y + 6)/5
Find g such that -g**2 + 3686*g - 3396649 = 0.
1843
Suppose -4*c**2 + 92*c + 96 = 0. Calculate c.
-1, 24
Solve 3*f**2/5 - 3*f/5 - 18/5 = 0 for f.
-2, 3
Solve 4*v**3 + 132*v**2 + 1089*v = 0.
-33/2, 0
What is c in -c**4/5 - 49*c**3 - 3825*c**2 - 79475*c + 1228250 = 0?
-85, 10
Determine d so that d**5/6 + 4*d**4/3 + 10*d**3/3 + 5*d**2/3 - 7*d/2 - 3 = 0.
-3, -2, -1, 1
Solve s**2/9 + 671*s/3 = 0.
-2013, 0
Let 9*i**5 - 258*i**4 + 1932*i**3 - 1176*i**2 = 0. Calculate i.
0, 2/3, 14
Find v such that -2*v**3/5 - 18*v**2/5 + 132*v/5 - 112/5 = 0.
-14, 1, 4
Solve 2*j**4 - 4*j**2 + 2 = 0 for j.
-1, 1
Let 4*r**5 - 52*r**4 + 88*r**3 + 8*r**2 - 92*r + 44 = 0. What is r?
-1, 1, 11
What is c in 4*c**3 - 8436*c**2 + 5930508*c - 1389715708 = 0?
703
Factor -b**5 + 43*b**4 - 440*b**3 - 484*b**2.
-b**2*(b - 22)**2*(b + 1)
Determine d, given that 5*d**2 + 240*d - 500 = 0.
-50, 2
Factor 3*z**2/7 - 2904*z/7 + 702768/7.
3*(z - 484)**2/7
Factor -2*y**4 + 124*y**3 - 2154*y**2 + 7192*y - 6728.
-2*(y - 29)**2*(y - 2)**2
Factor a**3/2 - 2*a**2 - 39*a/2 - 27.
(a - 9)*(a + 2)*(a + 3)/2
Factor 4*m**2/3 - 236*m/3 + 232/3.
4*(m - 58)*(m - 1)/3
Suppose 3*x**5 - 87*x**4 + 78*x**3 + 168*x**2 = 0. Calculate x.
-1, 0, 2, 28
Suppose -5*m**5/3 + 6*m**4 + 23*m**3/3 - 44*m**2/3 - 20*m - 16/3 = 0. What is m?
-1, -2/5, 2, 4
Find h such that 3*h**3/2 + 13*h**2 + 32*h + 16 = 0.
-4, -2/3
Suppose -6*h**2/7 + 1167*h - 4083/7 = 0. Calculate h.
1/2, 1361
Factor a**5/4 - 25*a**4/4 + 63*a**3/2 - 59*a**2 + 38*a.
a*(a - 19)*(a - 2)**3/4
Factor -m**4/6 + 2*m**3/3 + 9*m**2/2 + 19*m/3 + 8/3.
-(m - 8)*(m + 1)**2*(m + 2)/6
Find h, given that h**5/5 + h**4/5 - 3*h**3 - 5*h**2 + 14*h/5 + 24/5 = 0.
-3, -2, -1, 1, 4
Let 2*t**4/9 - 22*t**3/9 - 152*t**2/9 - 128*t/9 = 0. What is t?
-4, -1, 0, 16
Factor -3*m**3 + 36*m**2 - 135*m + 150.
-3*(m - 5)**2*(m - 2)
Solve 18*x**2/7 - 996*x/7 + 13778/7 = 0 for x.
83/3
Solve -t**5/5 - 3*t**4 - 47*t**3/5 + 47*t**2/5 + 36*t + 20 = 0.
-10, -5, -1, 2
Determine g so that -2*g**2/7 - 114*g/7 - 16 = 0.
-56, -1
Solve -3*k**4/2 - 33*k**3/2 - 54*k**2 - 24*k + 96 = 0.
-4, 1
Determine h so that h**2 + 602*h - 1208 = 0.
-604, 2
Find n such that -20*n**2 + 1445*n + 1095 = 0.
-3/4, 73
Let -2*p**4 - 82*p**3 - 880*p**2 - 800*p = 0. What is p?
-20, -1, 0
Solve -x**2/3 + 4*x/3 = 0.
0, 4
Find v, given that 3*v**2 - 1278*v + 136107 = 0.
213
Determine i so that i**2/3 + 4805*i/3 - 1602 = 0.
-4806, 1
Suppose 5*i**2 + 30*i + 40 = 0. Calculate i.
-4, -2
Determine t so that t**3 - 203*t**2 + 799*t - 597 = 0.
1, 3, 199
Factor -6*m**4 + 57*m**3 - 72*m**2.
-3*m**2*(m - 8)*(2*m - 3)
Find h such that -2*h**2 - 706*h + 1420 = 0.
-355, 2
Factor 4*y**2 + 304*y - 308.
4*(y - 1)*(y + 77)
Solve 2*k**3 - 14*k**2 = 0 for k.
0, 7
Determine k so that -2*k**3/11 + 14*k**2/11 + 18*k/11 - 126/11 = 0.
-3, 3, 7
Factor 2*v**2/9 - 1964*v/9 + 482162/9.
2*(v - 491)**2/9
Factor -35*i**5 - 845*i**4 - 120*i**3.
-5*i**3*(i + 24)*(7*i + 1)
Suppose -2*g**5 + 28*g**4 - 146*g**3 + 344*g**2 - 352*g + 128 = 0. Calculate g.
1, 4
Factor 2*m**2/7 + 374*m.
2*m*(m + 1309)/7
Find l, given that 2*l**5 + 4*l**4 - 4*l**3 - 8*l**2 + 2*l + 4 = 0.
-2, -1, 1
Let -4*d**2 + 9*d + 9 = 0. What is d?
-3/4, 3
Solve -3*f**3/5 - 514*f**2 + 3436*f/5 + 3432/5 = 0 for f.
-858, -2/3, 2
Factor 2*i**3/3 - 10*i**2/3 - 304*i/3 - 256.
2*(i - 16)*(i + 3)*(i + 8)/3
Suppose k**5 + k**4 - k**3 - k**2 = 0. Calculate k.
-1, 0, 1
Determine g, given that 16*g**3 - 132*g**2 + 32*g = 0.
0, 1/4, 8
Determine r, given that 3*r**2/5 + 213*r/5 + 42 = 0.
-70, -1
Factor u**3 + 506*u**2 + 1009*u + 504.
(u + 1)**2*(u + 504)
Solve -2*j**3 + 240*j**2 - 6954*j - 14884 = 0.
-2, 61
Determine c, given that 2*c**2 - 120*c = 0.
0, 60
Factor -4*p**2 - 792*p.
-4*p*(p + 198)
Find u such that -u**3 + 81*u**2 - 384*u + 304 = 0.
1, 4, 76
Factor -3*k**3/7 - 9*k**2 - 24*k - 108/7.
-3*(k + 1)*(k + 2)*(k + 18)/7
What is a in -a**4/5 + 11*a**3/5 - 36*a**2/5 + 16*a/5 + 64/5 = 0?
-1, 4
Suppose -g**2 - 39*g = 0. What is g?
-39, 0
Factor -2*y**3/5 - 244*y**2/5 - 464*y/5 + 384.
-2*(y - 2)*(y + 4)*(y + 120)/5
Factor -4*x**4/5 - 224*x**3/5 - 3552*x**2/5 - 11648*x/5 - 10816/5.
-4*(x + 2)**2*(x + 26)**2/5
Factor -2*w**5 + 28*w**4 + 432*w**3 + 1108*w**2 + 1042*w + 336.
-2*(w - 24)*(w + 1)**3*(w + 7)
Determine y so that -y**2/5 + 15*y + 500 = 0.
-25, 100
Let -15*u**5 + 24*u**4 + 207*u**3 - 132*u**2 - 444*u - 144 = 0. Calculate u.
-3, -1, -2/5, 2, 4
Find y, given that 3*y**3 - 18*y**2 - 48*y = 0.
-2, 0, 8
Factor 2*o**3 + 210*o**2 + 1356*o - 1568.
2*(o - 1)*(o + 8)*(o + 98)
Let -2*d**5/7 + 6*d**4/7 + 10*d**3/7 - 6*d**2/7 - 8*d/7 = 0. What is d?
-1, 0, 1, 4
Factor q**5/6 + 7*q**4/6 - 4*q**3/3.
q**3*(q - 1)*(q + 8)/6
Factor -j**4 - j**3 + 12*j**2 - 4*j - 16.
-(j - 2)**2*(j + 1)*(j + 4)
Determine b so that b**3/5 + 2*b**2/5 - 7*b/5 + 4/5 = 0.
-4, 1
Factor -q**4/2 + 11*q**3 - 165*q**2/2 + 232*q - 160.
-(q - 8)**2*(q - 5)*(q - 1)/2
Factor -42*y**2 - 75*y + 48.
-3*(2*y - 1)*(7*y + 16)
Suppose -2*t**3 - 514*t**2 - 32766*t + 33282 = 0. Calculate t.
-129, 1
Suppose z**3/4 - 7*z**2/2 - 17*z - 18 = 0. Calculate z.
-2, 18
Factor 3*i**5 + 24*i**4 - 33*i**3 - 54*i**2.
3*i**2*(i - 2)*(i + 1)*(i + 9)
Factor 4*g**2 - 4*g - 8.
4*(g - 2)*(g + 1)
Factor -5*q**2 + 4200*q.
-5*q*(q - 840)
Let 3*y**5 + 