9 = 0. What is z?
-35, 0
Determine g so that -5*g**5 + 165*g**4 - 805*g**3 - 165*g**2 + 810*g = 0.
-1, 0, 1, 6, 27
Suppose -60*y**3 + 159875*y**2 + 66635*y - 26650 = 0. Calculate y.
-2/3, 1/4, 2665
Let k**4/2 + 45*k**3 - 138*k**2 + 139*k - 93/2 = 0. What is k?
-93, 1
Let f**5/4 + 5*f**4/4 - 23*f**3 - 60*f**2 + 504*f + 540 = 0. Calculate f.
-10, -6, -1, 6
Factor -4*n**2/5 - 148*n/5 + 152/5.
-4*(n - 1)*(n + 38)/5
Suppose -3*b**3/4 + 69*b**2/2 - 465*b + 1950 = 0. Calculate b.
10, 26
Factor -3*p**2/7 + 705*p/7 - 3450/7.
-3*(p - 230)*(p - 5)/7
Determine p so that 135*p**5 - 369*p**4 + 822*p**3/5 + 324*p**2/5 + 24*p/5 = 0.
-2/15, 0, 1, 2
Factor p**4/3 + 104*p**3 - 635*p**2/3 - 734*p - 1256/3.
(p - 4)*(p + 1)**2*(p + 314)/3
Suppose f**3/6 - 10*f**2/3 + 103*f/6 - 14 = 0. What is f?
1, 7, 12
Suppose 2*n**4/9 + 20*n**3/9 + 62*n**2/9 + 20*n/3 = 0. What is n?
-5, -3, -2, 0
Factor 4*q**2/7 - 488*q/7 + 14884/7.
4*(q - 61)**2/7
What is h in 2*h**2/3 + 48*h - 770/3 = 0?
-77, 5
Factor -2*v**3/5 - 4*v**2/5.
-2*v**2*(v + 2)/5
Determine b, given that 6*b**3 + 39*b**2 + 48*b + 15 = 0.
-5, -1, -1/2
Solve 3*a**2 - 132*a + 1452 = 0.
22
Suppose -3*i**3/2 + 54*i**2 - 1071*i/2 + 867 = 0. What is i?
2, 17
Factor -i**4/4 + 5*i**3/2 + 147*i**2/4 + 110*i + 76.
-(i - 19)*(i + 1)*(i + 4)**2/4
What is v in -5*v**2 - 1880*v = 0?
-376, 0
Find p such that -5*p**3 - 885*p**2 + 890*p = 0.
-178, 0, 1
Solve 4*p**4 - 60*p**3 + 56*p**2 = 0.
0, 1, 14
Factor s**2 - 6112*s + 9339136.
(s - 3056)**2
Suppose -a**4/4 - 9*a**3/4 + 21*a**2/4 - 11*a/4 = 0. Calculate a.
-11, 0, 1
Factor 2*j**4 + 20*j**3.
2*j**3*(j + 10)
Find n such that -n**2/4 - 23*n/2 - 22 = 0.
-44, -2
Find p, given that -20*p**3/3 + 4*p**2/3 = 0.
0, 1/5
Find h, given that 2*h**4/3 - 17*h**3/3 + 46*h**2/3 - 43*h/3 + 4 = 0.
1/2, 1, 3, 4
Let 39*d**2/2 - 9519*d/2 + 366 = 0. Calculate d.
1/13, 244
Solve -w**5/8 + 9*w**4/8 + w**3/4 - 9*w**2/4 - w/8 + 9/8 = 0.
-1, 1, 9
Let -i**2/5 - 29*i/5 - 78/5 = 0. What is i?
-26, -3
Determine t so that -6*t**4 - 15*t**3/2 + 105*t**2/2 + 135*t/2 + 27/2 = 0.
-3, -1, -1/4, 3
Factor -30*n**3 + 23*n**2 + 8*n - 1.
-(n - 1)*(3*n + 1)*(10*n - 1)
Determine n so that 30*n**5/11 - 476*n**4/11 + 2276*n**3/11 - 3048*n**2/11 + 1022*n/11 + 196/11 = 0.
-2/15, 1, 7
Factor -2*g**4 + 130*g**3 - 2622*g**2 + 11638*g + 97336.
-2*(g - 23)**3*(g + 4)
Factor 2*g**4 + 1248*g**3 - 3756*g**2 + 3760*g - 1254.
2*(g - 1)**3*(g + 627)
Factor -b**4 - b**3 + 37*b**2 - 35*b.
-b*(b - 5)*(b - 1)*(b + 7)
Let 2*x**3/9 - 202*x**2/9 - 208*x/3 = 0. Calculate x.
-3, 0, 104
Factor 2*h**4 + 40*h**3 - 100*h**2 - 3000*h + 11250.
2*(h - 5)**2*(h + 15)**2
Factor 4*i**3 - 40*i**2 + 64*i.
4*i*(i - 8)*(i - 2)
Determine w so that -8*w**2/9 - 130*w/3 + 98/9 = 0.
-49, 1/4
Solve -y**5/7 - 11*y**4/7 - 25*y**3/7 - 5*y**2/7 + 26*y/7 + 16/7 = 0.
-8, -2, -1, 1
Factor -9*y**3/4 + 629*y**2/2 + 1549*y/4 + 141/2.
-(y - 141)*(y + 1)*(9*y + 2)/4
Factor -2*f**2 - 92*f - 1056.
-2*(f + 22)*(f + 24)
Factor -u**4 + 32*u**3 - 125*u**2/4 + 31*u/4.
-u*(u - 31)*(2*u - 1)**2/4
Find j such that -4*j**2 - 224*j - 220 = 0.
-55, -1
Factor 2*x**4 - 94*x**3 - 618*x**2 - 954*x.
2*x*(x - 53)*(x + 3)**2
Find k, given that 5*k**5 - 195*k**3 - 10*k**2 + 540*k + 360 = 0.
-6, -1, 2, 6
Find a such that 4*a**2 - 608*a - 612 = 0.
-1, 153
Factor -w**2 - 9*w - 8.
-(w + 1)*(w + 8)
Factor -5*r**3 - 10*r**2 + 15*r.
-5*r*(r - 1)*(r + 3)
Find k such that 2*k**3/21 - 4*k**2/3 - 10*k/7 = 0.
-1, 0, 15
Determine a so that -196*a**5 + 1652*a**4 + 1188*a**3 - 1508*a**2 - 992*a - 144 = 0.
-1, -2/7, 1, 9
Factor 3*t**2 - 420*t + 14700.
3*(t - 70)**2
Let x**3 - 9*x = 0. Calculate x.
-3, 0, 3
Find i such that 2*i**2/7 + 2*i/7 = 0.
-1, 0
Factor -3*b**3 - 288*b**2 - 6300*b + 30000.
-3*(b - 4)*(b + 50)**2
Factor -n**2/2 + 16*n + 105/2.
-(n - 35)*(n + 3)/2
Suppose 2*g**4 - 160*g**3 + 2268*g**2 - 7776*g - 10206 = 0. Calculate g.
-1, 9, 63
Solve -2*r**4/3 + 4*r**3 - 8*r**2 + 20*r/3 - 2 = 0.
1, 3
Find g such that -2*g**3/3 + 38*g**2/3 - 160*g/3 - 200/3 = 0.
-1, 10
Suppose q**5/3 + 100*q**4/3 + 1122*q**3 + 13068*q**2 + 11979*q = 0. What is q?
-33, -1, 0
Factor 4*p**2/5 - 188*p/5 + 184/5.
4*(p - 46)*(p - 1)/5
Factor 128*y**2/9 - 352*y/3 + 242.
2*(8*y - 33)**2/9
Determine m so that m**3 + 343*m**2 - 344*m = 0.
-344, 0, 1
Factor 2*x**4/13 - 6*x**3/13 + 8*x/13.
2*x*(x - 2)**2*(x + 1)/13
Let 28*d**3 - 270*d**2 + 146*d + 144 = 0. What is d?
-1/2, 8/7, 9
Factor -k**2/5 + 353*k.
-k*(k - 1765)/5
Solve 2*i**5/9 + 38*i**4/3 - 118*i**3/3 + 358*i**2/9 - 40*i/3 = 0.
-60, 0, 1
Solve -12*c**3/5 + c**2/5 + 12*c/5 - 1/5 = 0.
-1, 1/12, 1
Factor 2*m**3 - 42*m**2 + 294*m - 686.
2*(m - 7)**3
Factor a**3/3 - 4*a**2 + 35*a/3.
a*(a - 7)*(a - 5)/3
Let -6*a**3 + 15*a**2 - 12*a + 3 = 0. What is a?
1/2, 1
Factor -2*k**2/9 + 238*k/3 + 1436/9.
-2*(k - 359)*(k + 2)/9
Find j such that 2*j**4/3 - 3644*j**3/9 + 552062*j**2/9 + 370880*j/9 - 184832/9 = 0.
-1, 1/3, 304
Factor -x**4 + 5795*x**3 - 11197869*x**2 + 7222610057*x - 14400474982.
-(x - 1931)**3*(x - 2)
Let -4*r**4 - 108*r**3 + 4*r**2 + 108*r = 0. What is r?
-27, -1, 0, 1
Factor i**3/2 + 149*i**2/2 - 306*i.
i*(i - 4)*(i + 153)/2
Find x such that -x**2 + 1198*x - 358801 = 0.
599
Let 2*d**2 - 20*d = 0. Calculate d.
0, 10
Suppose -4*f**3 + 4*f**2 + 16*f - 16 = 0. Calculate f.
-2, 1, 2
Factor 4*y**3/7 + 116*y**2/7 + 640*y/7 - 3072/7.
4*(y - 3)*(y + 16)**2/7
Suppose s**4/4 + 7*s**3/4 - s**2/4 - 7*s/4 = 0. Calculate s.
-7, -1, 0, 1
Factor -t**3 - 27*t**2 - 159*t - 133.
-(t + 1)*(t + 7)*(t + 19)
Determine t, given that 3*t**3/5 - 6*t**2 + 36*t/5 + 216/5 = 0.
-2, 6
Find p such that -10*p**4/11 - 94*p**3/11 - 210*p**2/11 - 18*p/11 + 108/11 = 0.
-6, -3, -1, 3/5
Factor 3*i**2 - 42*i - 1440.
3*(i - 30)*(i + 16)
What is x in -4*x**2 + 1192*x - 88804 = 0?
149
Find l such that 34*l**4 - 100*l**3 + 96*l**2 - 28*l - 2 = 0.
-1/17, 1
Find d such that -3*d**2 - 552*d + 5820 = 0.
-194, 10
Factor -s**4/2 - s**3/2 + 9*s**2/2 - 11*s/2 + 2.
-(s - 1)**3*(s + 4)/2
Let -4*i**2 - 96*i + 100 = 0. Calculate i.
-25, 1
Factor -7*b**3/11 - 86*b**2/11 - 24*b/11.
-b*(b + 12)*(7*b + 2)/11
Factor -3*f**3 - 1308*f**2 - 5196*f - 5184.
-3*(f + 2)**2*(f + 432)
Factor -3*m**3/2 - 189*m**2/2 + 195*m.
-3*m*(m - 2)*(m + 65)/2
Find o such that -98*o**5/3 - 1120*o**4/9 + 2210*o**3/9 + 260*o**2 + 184*o/9 - 80/9 = 0.
-5, -2/3, -2/7, 1/7, 2
Factor -3*l**4 + 33*l**3 + 9*l**2 - 93*l - 66.
-3*(l - 11)*(l - 2)*(l + 1)**2
Let -3*p**3 + 102*p**2 - 729*p + 1350 = 0. Calculate p.
3, 6, 25
Factor -3*h**2 - 708*h - 41772.
-3*(h + 118)**2
Find v, given that 15*v**5/7 + 1524*v**4/7 + 41343*v**3/7 + 133158*v**2/7 + 12012*v - 8232 = 0.
-49, -2, 2/5
Factor -2*a**5 - 8*a**4 + 4*a**3 + 24*a**2 - 18*a.
-2*a*(a - 1)**2*(a + 3)**2
Factor -3*t**3 - 294*t**2 + 903*t - 606.
-3*(t - 2)*(t - 1)*(t + 101)
Factor -5*j**4 + 830*j**3 - 2460*j**2 + 2450*j - 815.
-5*(j - 163)*(j - 1)**3
Suppose -3*p**3 + 687*p**2 + 1383*p + 693 = 0. What is p?
-1, 231
Factor -3*n**3 - 6*n**2 + 87*n - 126.
-3*(n - 3)*(n - 2)*(n + 7)
Find q such that q**4/4 + 45*q**3/2 + 2197*q**2/4 + 1935*q + 1849 = 0.
-43, -2
Factor 3*s**4 - 252*s**3 + 5538*s**2 - 10332*s + 5043.
3*(s - 41)**2*(s - 1)**2
Determine t, given that 2*t**4/7 + 52*t**3/7 + 298*t**2/7 - 352*t/7 = 0.
-16, -11, 0, 1
Solve t**3/3 + 145*t**2/3 - 293*t/3 + 49 = 0 for t.
-147, 1
Factor 3*q**3/7 - 381*q**2/7 - 1572*q/7.
3*q*(q - 131)*(q + 4)/7
Solve 5*l**4 + 95*l**3 + 275*l**2 - 1815*l = 0.
-11, 0, 3
Let 2*t**3 + 136*t**2 + 2312*t = 0. Calculate t.
-34, 0
Factor 4*y**5 + 140*y**4 + 216*y**3 - 1528*y**2 + 1828*y - 660.
4*(y - 1)**3*(y + 5)*(y + 33)
Factor g**3/4 + 733*g**2/4 + 1454*g + 2900.
(g + 4)**2*(g + 725)/4
Factor 19*y**3/7 + 106*y**2/7 + 47*y/7 - 40/7.
(y + 1)*(y + 5)*(19*y - 8)/7
Determine d so that 4*d**2 - 616*d + 1812 = 0.
3, 151
Factor -2*h**4/7 - 38*h**3/7 - 68*h**2/7.
-2*h**2*(h + 2)*(h + 17)/7
Factor -9*f**3/2 - 555*f**2 - 16926*f + 11532.
-3*(f + 62)**2*(3*f - 2)/2
Factor -2*d**3 - 12*d**2 + 50*d - 36.
-2*(d - 2)*(d - 1)*(d + 9)
Factor -2*c**4/9 + 22*c**3/9 - 4*c**2.
-2*c**2*(c - 9)*(c - 2)/9
Let -2*w**5/9 - 10*w**4/9 + 4*w**3/9 + 28*w**2/3 + 14*w + 6 = 0. Calculate w.
-3, -1, 3
Factor -5*t**4 - 3180*t**3 + 3185*t**2.
-5*t**2*(t - 1)*(t + 637)
Let -5*d**5 - 100*d**4 + 715*d**3 - 1630*d**2 + 1540*d - 520 = 0. Calcula