- 15*n**2 - 35*n + 30 = 0. Calculate n.
-3, -2, 1
Find b such that 49*b**4 + 910*b**3 + 3693*b**2 + 1892*b + 260 = 0.
-13, -5, -2/7
Determine q so that 3*q**5/2 + 49*q**4/2 - 217*q**3/2 + 71*q**2/2 + 107*q - 60 = 0.
-20, -1, 2/3, 1, 3
Factor -k**2 + 13046*k - 42549529.
-(k - 6523)**2
Let 3*m**4/2 - 3*m**3 - 87*m**2/2 + 153*m - 108 = 0. Calculate m.
-6, 1, 3, 4
Determine g so that -2*g**4/13 + 20*g**3/13 - 34*g**2/13 + 16*g/13 = 0.
0, 1, 8
Determine a so that -a**3/3 - 10*a**2 - 51*a - 72 = 0.
-24, -3
What is z in 4*z**5/3 - 11*z**4/3 - 35*z**3/3 + 40*z**2/3 + 76*z/3 + 16/3 = 0?
-2, -1, -1/4, 2, 4
Factor i**3/8 + 3*i**2/8 - 9*i/2 - 27/2.
(i - 6)*(i + 3)*(i + 6)/8
Let -4*j**5/15 - 62*j**4/5 - 268*j**3/15 + 32*j**2/5 + 272*j/15 + 6 = 0. What is j?
-45, -1, -1/2, 1
Suppose 2*m**5/11 - 12*m**4/11 - 222*m**3/11 - 680*m**2/11 - 600*m/11 = 0. What is m?
-5, -2, 0, 15
Factor 3*s**4 - 24*s**3 + 45*s**2 + 12*s - 60.
3*(s - 5)*(s - 2)**2*(s + 1)
Factor 18*m**2/7 + 130*m/7 + 4.
2*(m + 7)*(9*m + 2)/7
Factor -q**4 - 161*q**3 + 492*q**2.
-q**2*(q - 3)*(q + 164)
Determine x so that 2*x**3/3 + 104*x**2/3 + 1352*x/3 = 0.
-26, 0
Let 5*w**2/4 - 205*w/2 = 0. What is w?
0, 82
Factor -b**2 + 10*b + 24.
-(b - 12)*(b + 2)
Factor j**2/2 + 110*j - 222.
(j - 2)*(j + 222)/2
Factor -3*n**2 - 1299*n - 1296.
-3*(n + 1)*(n + 432)
Factor 4*o**3 + 532*o**2 + 17952*o + 17424.
4*(o + 1)*(o + 66)**2
Factor 2*w**3 + 112*w**2 + 1640*w + 7200.
2*(w + 10)**2*(w + 36)
Find x such that -35*x**4 + 2460*x**3 + 17955*x**2 + 10840*x - 4620 = 0.
-6, -1, 2/7, 77
Find q such that 4*q**4 + 20*q**3 - 12*q**2 - 68*q - 40 = 0.
-5, -1, 2
Factor 5*f**3 + 65*f**2 + 115*f + 55.
5*(f + 1)**2*(f + 11)
Factor 3*d**5 + d**4 - 17*d**3 + 19*d**2 - 6*d.
d*(d - 1)**2*(d + 3)*(3*d - 2)
Factor o**4/4 + 3*o**3/2 - 69*o**2/4 - 77*o/2.
o*(o - 7)*(o + 2)*(o + 11)/4
Suppose -f**2 + 175*f = 0. Calculate f.
0, 175
Factor -f**5/2 + 71*f**4/2 - 1295*f**3/2 + 1225*f**2/2.
-f**2*(f - 35)**2*(f - 1)/2
Factor y**3/5 + 9*y**2/5 + 3*y + 7/5.
(y + 1)**2*(y + 7)/5
Factor -3*k**3/5 - 132*k**2/5 + 273*k/5 - 138/5.
-3*(k - 1)**2*(k + 46)/5
Factor -5*b**2 - 165*b - 1150.
-5*(b + 10)*(b + 23)
Let -3*g**3 + 159*g**2 - 2184*g + 2028 = 0. What is g?
1, 26
Factor 2*g**2/7 + 14*g.
2*g*(g + 49)/7
Suppose 4*r**2/3 + 324*r + 1928/3 = 0. What is r?
-241, -2
Let t**2 - 233*t - 470 = 0. Calculate t.
-2, 235
Find q such that -3*q**3 + 12*q**2 + 3*q - 12 = 0.
-1, 1, 4
Find q such that -4*q**2 + 28*q - 24 = 0.
1, 6
Factor -5*q**2 + 80*q - 140.
-5*(q - 14)*(q - 2)
Factor -n**5/2 - 2*n**4 - 5*n**3/2 - n**2.
-n**2*(n + 1)**2*(n + 2)/2
Solve -v**3/4 - 6*v**2 - 99*v/4 - 19 = 0 for v.
-19, -4, -1
Factor g**4 + 135*g**3 + 5781*g**2 + 64061*g - 622938.
(g - 6)*(g + 47)**3
Determine z, given that 2*z**5/3 - 20*z**4/3 - 218*z**3/3 - 340*z**2/3 = 0.
-5, -2, 0, 17
Factor -15*k**2 + 46569*k + 18630.
-3*(k - 3105)*(5*k + 2)
Factor -5*i**5 - 15*i**4 + 65*i**3 + 235*i**2 + 240*i + 80.
-5*(i - 4)*(i + 1)**3*(i + 4)
Suppose 3*f**5 - 12*f**3 - 6*f**2 + 9*f + 6 = 0. What is f?
-1, 1, 2
Factor -j**2/2 - 4*j + 9/2.
-(j - 1)*(j + 9)/2
Factor -13*p**2 + 552*p - 252.
-(p - 42)*(13*p - 6)
Let -h**2/5 + 12*h/5 + 13/5 = 0. What is h?
-1, 13
Determine i, given that -2*i**3 + 10*i**2 + 2*i - 10 = 0.
-1, 1, 5
Factor -3*q**2 + 4470*q.
-3*q*(q - 1490)
Let 5*f**4 - 30*f**3 - 15*f**2 + 260*f - 300 = 0. Calculate f.
-3, 2, 5
Suppose 16*y**5 - 584*y**4 + 4873*y**3 + 8323*y**2 + 3211*y + 361 = 0. What is y?
-1, -1/4, 19
Solve -4*n**3 - 20*n**2 - 32*n - 16 = 0.
-2, -1
Suppose 4*t**4 - 152*t**3 - 848*t**2 - 552*t + 1548 = 0. Calculate t.
-3, 1, 43
Factor -t**4 - 198*t**3 + 200*t**2 + 198*t - 199.
-(t - 1)**2*(t + 1)*(t + 199)
Suppose v**2 + 146*v + 145 = 0. What is v?
-145, -1
Let o**4 + 14*o**3 + 65*o**2 + 124*o + 84 = 0. Calculate o.
-7, -3, -2
Suppose 3*c**4/4 + 3*c**3/2 - 3*c**2 - 3*c/2 + 9/4 = 0. Calculate c.
-3, -1, 1
Solve -j**5 - 17*j**4 - 105*j**3 - 275*j**2 - 250*j = 0 for j.
-5, -2, 0
Factor o**2 + 72*o + 1296.
(o + 36)**2
Solve -u**4/2 + 20*u**3 - 39*u**2/2 = 0 for u.
0, 1, 39
Factor 5*h**5 - 4*h**4 - 31*h**3 - 6*h**2.
h**2*(h - 3)*(h + 2)*(5*h + 1)
Determine b, given that 2*b**5/7 + 36*b**4/7 - 6*b**3/7 - 16*b**2 - 72*b/7 = 0.
-18, -1, 0, 2
Factor -j**4 - 9*j**3/4 + j**2/4 + 3*j/2.
-j*(j + 1)*(j + 2)*(4*j - 3)/4
Suppose 4*i**3/3 + 43*i**2/3 - 59*i/3 + 4 = 0. Calculate i.
-12, 1/4, 1
Find v, given that 5*v**4 - 225*v**3 - 1015*v**2 + 1665*v + 2450 = 0.
-5, -1, 2, 49
Let -6*m**5/17 + 10*m**4/17 + 52*m**3/17 - 92*m**2/17 + 18*m/17 + 18/17 = 0. What is m?
-3, -1/3, 1, 3
Suppose 5*g**3 - 390*g**2 - 1620*g - 1640 = 0. What is g?
-2, 82
Factor -3*m**3/7 + 12*m**2/7 + 36*m/7.
-3*m*(m - 6)*(m + 2)/7
Let -14*d**5/13 - 4*d**4 - 12*d**3/13 + 64*d**2/13 + 2*d - 12/13 = 0. What is d?
-3, -1, 2/7, 1
Determine d, given that -5*d**3 - 35*d**2 - 30*d = 0.
-6, -1, 0
Suppose 2*m**5/23 + 2*m**4/23 - 32*m**3/23 - 32*m**2/23 = 0. What is m?
-4, -1, 0, 4
Find k such that -k**4/4 = 0.
0
Factor 8*m**2/5 + 388*m/5 - 196/5.
4*(m + 49)*(2*m - 1)/5
Determine m so that 4*m**3 - 612*m**2 + 600*m + 1216 = 0.
-1, 2, 152
Solve 2*m**2/9 + 6808*m/9 + 5793608/9 = 0.
-1702
Factor 55*h**3 - 50*h**2 - 65*h + 60.
5*(h - 1)**2*(11*h + 12)
Solve -3*f**2 - 960*f + 963 = 0.
-321, 1
Factor 4*w**2 + 40*w - 224.
4*(w - 4)*(w + 14)
Suppose 8*t**4 - 54*t**3/5 - 168*t**2/5 - 86*t/5 - 12/5 = 0. Calculate t.
-1, -2/5, -1/4, 3
Determine v so that -242*v**5/7 - 7414*v**4/7 - 7522*v**3 + 67966*v**2/7 + 52896*v/7 - 60552/7 = 0.
-174/11, -1, 1
Factor -5*d**4/3 - 15*d**3.
-5*d**3*(d + 9)/3
Let -2*u**5 + 8*u**4 + 2*u**3 - 8*u**2 = 0. Calculate u.
-1, 0, 1, 4
Factor -3*a**3 + 12*a**2.
-3*a**2*(a - 4)
Factor -v**2 - 27*v + 28.
-(v - 1)*(v + 28)
Suppose 7*h**4/2 + 51*h**3/2 + 21*h**2 - 38*h - 12 = 0. What is h?
-6, -2, -2/7, 1
Factor -2*t**3/7 + 46*t**2/7 - 158*t/7 + 114/7.
-2*(t - 19)*(t - 3)*(t - 1)/7
Factor -h**4/4 + 7*h**3/4 - 9*h**2/2 + 5*h - 2.
-(h - 2)**3*(h - 1)/4
Solve -2*d**3 + 862*d**2 + 2*d - 862 = 0 for d.
-1, 1, 431
Find p such that 2*p**5/5 - 74*p**4/5 + 1076*p**3/5 - 7668*p**2/5 + 5346*p - 7290 = 0.
5, 9
Factor 4*f**2/3 - 49*f/3 + 30.
(f - 10)*(4*f - 9)/3
Factor -2*h**2 + 200*h - 5000.
-2*(h - 50)**2
Find a such that 729*a**5/8 + 7911*a**4/8 + 3053*a**3/4 - 259*a**2/2 + 5*a = 0.
-10, -1, 0, 2/27
Factor 4*m**3 - 12*m**2 - 40*m.
4*m*(m - 5)*(m + 2)
Solve -2*t**2 + 22*t + 24 = 0.
-1, 12
Determine i, given that i**4/4 + 9*i**3/2 + 7*i**2 - 18*i - 32 = 0.
-16, -2, 2
Find m, given that m**2/3 - 538*m/3 + 72361/3 = 0.
269
What is k in 2*k**2/13 - 6*k/13 + 4/13 = 0?
1, 2
Suppose 4*q**4 + 124*q**3 + 320*q**2 - 496*q - 1344 = 0. Calculate q.
-28, -3, -2, 2
Factor 3*p**3 - 13087*p**2 + 14274645*p - 4756761.
(p - 2181)**2*(3*p - 1)
Solve 2*d**3 - 48*d**2 + 168*d - 160 = 0 for d.
2, 20
Factor 132*q**3 - 512*q**2.
4*q**2*(33*q - 128)
Find n, given that 4*n**3 - 184*n**2 + 180*n = 0.
0, 1, 45
Factor 4*d**4/7 - 8*d**3 + 240*d**2/7 - 288*d/7.
4*d*(d - 6)**2*(d - 2)/7
Find t such that 8*t**3 - 46*t**2 - 12*t = 0.
-1/4, 0, 6
Factor h**3/3 - 10*h**2 + 152*h/3 - 64.
(h - 24)*(h - 4)*(h - 2)/3
Factor -5*b**4/4 + 15*b**3/2 - 65*b**2/4 + 15*b - 5.
-5*(b - 2)**2*(b - 1)**2/4
Factor -3*l**3 + 105*l**2 + 219*l + 111.
-3*(l - 37)*(l + 1)**2
Suppose -4*c**5 + 16*c**3 = 0. Calculate c.
-2, 0, 2
Solve 2*v**2/9 - 4*v/3 - 14/9 = 0.
-1, 7
Determine t so that -33*t**3/7 + 831*t**2/7 - 150*t/7 = 0.
0, 2/11, 25
Factor -2*c**2/3 - 28*c/3 - 98/3.
-2*(c + 7)**2/3
Factor -2*x**3/15 + 26*x**2/5 - 10*x + 74/15.
-2*(x - 37)*(x - 1)**2/15
Solve 3*v**5/8 - 9*v**4/4 - 171*v**3/4 - 111*v**2 - 837*v/8 - 135/4 = 0.
-6, -1, 15
Let g**3/5 - 1367*g**2/5 + 1366*g/5 = 0. What is g?
0, 1, 1366
Factor h**3 - 7*h + 6.
(h - 2)*(h - 1)*(h + 3)
Factor 3*b**4 + 12*b**3 - 180*b**2 - 768*b - 768.
3*(b - 8)*(b + 2)**2*(b + 8)
Find g such that 5*g**2 + 35*g - 150 = 0.
-10, 3
Find g such that g**2 + 24*g + 144 = 0.
-12
Determine u, given that -4*u**5 + 68*u**4 - 344*u**3 + 688*u**2 - 480*u = 0.
0, 2, 3, 10
Let -2*w**4/9 - 26*w**3/9 + 8*w**2/3 + 344*w/9 + 416/9 = 0. What is w?
-13, -2, 4
Factor -g**2/4 + 21*g/4 - 55/2.
-(g - 11)*(g - 10)/4
Determine n so that -n**3 - 25*n**2 - 168*n - 144 = 0.
-12, -1
Determine h so that 2*h**3 + 104*h**2 + 286*h - 392 = 0.
-49, -4, 1
Let -4*m**4/5 