148*i**3 - 424*i**2 + 146*i + 284 = 0.
-71, -1, 1, 2
Factor q**3/7 - 5*q**2/7 + 6*q/7.
q*(q - 3)*(q - 2)/7
Solve -4*o**4/7 + 200*o**3/7 - 2500*o**2/7 = 0.
0, 25
Factor -2*r**2/5 - 136*r/5 - 2312/5.
-2*(r + 34)**2/5
Factor -2*c**2 - 544*c - 36992.
-2*(c + 136)**2
Find k such that 2*k**4 - 6*k**3 + 8*k = 0.
-1, 0, 2
Determine v so that -3*v**3 + 81*v**2 + 264*v + 180 = 0.
-2, -1, 30
Factor 242*w**5 + 572*w**4 + 426*w**3 + 104*w**2 + 8*w.
2*w*(w + 1)**2*(11*w + 2)**2
Factor -2*v**3/7 + 6*v**2/7 + 228*v/7 + 416/7.
-2*(v - 13)*(v + 2)*(v + 8)/7
Solve -3*g**2 - 27*g = 0 for g.
-9, 0
Factor -3*l**4 + 27*l**3 - 6*l**2 - 252*l - 216.
-3*(l - 6)**2*(l + 1)*(l + 2)
Factor 28*m**3/3 - 8*m**2/3.
4*m**2*(7*m - 2)/3
Find d such that -2*d**3/13 - 424*d**2/13 = 0.
-212, 0
Solve 70756*a**2/3 - 10640*a + 1200 = 0.
30/133
Factor 4*z**3 - 76*z**2 + 360*z.
4*z*(z - 10)*(z - 9)
Factor -26*k**2/9 + 1418*k/9 + 220/3.
-2*(k - 55)*(13*k + 6)/9
What is i in 5*i**4 - 10*i**3 - 5*i**2 + 10*i = 0?
-1, 0, 1, 2
Let -98*v**4 + 924*v**3 - 1898*v**2 - 1320*v - 200 = 0. What is v?
-2/7, 5
Suppose 2*r**3 + 660*r**2 - 2666*r + 2004 = 0. What is r?
-334, 1, 3
What is f in -f**4/2 - 36*f**3 - 864*f**2 - 6912*f = 0?
-24, 0
Factor -n**4 + 3344*n**3 - 2795584*n**2.
-n**2*(n - 1672)**2
Solve -2*g**2/11 - 102*g/11 - 100/11 = 0 for g.
-50, -1
Factor -u**4/3 + 67*u**3/3 - 126*u**2 + 740*u/3 - 488/3.
-(u - 61)*(u - 2)**3/3
Suppose -u**5/3 + 43*u**4/3 - 79*u**3/3 - 127*u**2/3 + 160*u/3 + 164/3 = 0. Calculate u.
-1, 2, 41
Factor -57*x**3 + 3*x**2.
-3*x**2*(19*x - 1)
What is x in 4*x**3 + 252*x**2 + 4092*x + 3844 = 0?
-31, -1
Find k, given that -3*k**3 - 249*k**2 + 252*k = 0.
-84, 0, 1
Factor -g**2/2 - 3057*g/2.
-g*(g + 3057)/2
Solve -2*t**5/13 + 8*t**4/13 + 48*t**3/13 - 172*t**2/13 + 178*t/13 - 60/13 = 0.
-5, 1, 6
Factor 6*m**4/7 - 6*m**3/7.
6*m**3*(m - 1)/7
Factor 69*n**2/5 - 282*n/5 + 24/5.
3*(n - 4)*(23*n - 2)/5
Suppose 2*v**5 + 6*v**4 - 18*v**3 + 10*v**2 = 0. What is v?
-5, 0, 1
Factor -2*p**3 - 56*p**2 - 106*p - 52.
-2*(p + 1)**2*(p + 26)
Solve -3*k**2 + 1002*k - 83667 = 0 for k.
167
Determine x so that -x**3/2 + 3*x**2 + 19*x/2 - 12 = 0.
-3, 1, 8
Factor 4*t**4 - 144*t**3 + 408*t**2 - 400*t + 132.
4*(t - 33)*(t - 1)**3
Solve -14*x**2 + 424*x - 22472/7 = 0 for x.
106/7
What is h in 2*h**2/23 - 2584*h/23 + 834632/23 = 0?
646
Factor -3*r**2 + 2712*r - 612912.
-3*(r - 452)**2
Determine p, given that 2*p**5/7 - 16*p**4/7 + 50*p**3/7 - 76*p**2/7 + 8*p - 16/7 = 0.
1, 2
Factor 3*s**2/2 + 267*s + 23763/2.
3*(s + 89)**2/2
Suppose 2*n**4/7 + 2048*n**3/7 + 699732*n**2/7 + 80001328*n/7 + 79303642/7 = 0. What is n?
-341, -1
Let -3*b**5/4 + 1611*b**4/2 - 213849*b**3 - 1302486*b**2 - 2617920*b - 1749600 = 0. Calculate b.
-2, 540
Factor 2*c**2 + 1120*c + 156800.
2*(c + 280)**2
Factor -2*k**2/9 - 34*k/9 - 40/3.
-2*(k + 5)*(k + 12)/9
Factor 2450*x**3/3 - 1540*x**2 - 184*x - 16/3.
2*(x - 2)*(35*x + 2)**2/3
Factor f**4/3 - 20*f**3 + 113*f**2/3 + 58*f.
f*(f - 58)*(f - 3)*(f + 1)/3
Factor d**4/5 + 14*d**3/5 - 3*d**2 - 100*d + 100.
(d - 5)*(d - 1)*(d + 10)**2/5
Factor -2*s**2/3 + 422*s/3.
-2*s*(s - 211)/3
Let 8*j**4/7 - 426*j**3/7 - 2148*j**2/7 - 3224*j/7 - 1392/7 = 0. Calculate j.
-2, -3/4, 58
Solve -3*z**5/4 + 945*z**4/4 - 99225*z**3/4 + 3472875*z**2/4 = 0.
0, 105
Solve 3*g**4 + 255*g**3 - 5688*g**2 + 25260*g + 31200 = 0 for g.
-104, -1, 10
Factor 6*t**5/7 + 154*t**4 + 716*t**3/7.
2*t**3*(t + 179)*(3*t + 2)/7
Find d, given that d**5/5 - 22*d**4/5 + 37*d**3/5 + 68*d**2/5 - 164*d/5 + 16 = 0.
-2, 1, 2, 20
Factor -4*h**3/3 + 1994*h**2/3 - 3976*h/3 + 662.
-2*(h - 1)**2*(2*h - 993)/3
Solve z**4/4 + z**3 - 13*z**2/4 - z + 3 = 0 for z.
-6, -1, 1, 2
Factor -k**5/3 + 4*k**4/3 - 4*k**3/3 - 2*k**2/3 + 5*k/3 - 2/3.
-(k - 2)*(k - 1)**3*(k + 1)/3
Find k such that -k**2/2 + 39*k = 0.
0, 78
Let -2*a**4/11 + 140*a**3/11 - 3032*a**2/11 + 19920*a/11 - 28800/11 = 0. Calculate a.
2, 8, 30
Factor 4*i**3 + 400*i**2 - 1236*i.
4*i*(i - 3)*(i + 103)
Solve -6*p**4 - 244*p**3 - 158*p**2 + 80*p = 0 for p.
-40, -1, 0, 1/3
Suppose 2*a**2/11 - 4*a/11 = 0. What is a?
0, 2
Factor 4*a**2/5 - 1376*a/5 + 4092/5.
4*(a - 341)*(a - 3)/5
Find f such that -27*f**5 + 2358*f**4 - 7599*f**3 + 3216*f**2 + 5028*f + 1008 = 0.
-1/3, 2, 84
Factor -5*t**2 + 1490*t + 1495.
-5*(t - 299)*(t + 1)
Factor 2*l**2 - 24*l - 1496.
2*(l - 34)*(l + 22)
Factor -2*f**2/11 + 688*f/11 - 59168/11.
-2*(f - 172)**2/11
Factor -4*k**3 + 32*k**2 + 16*k - 128.
-4*(k - 8)*(k - 2)*(k + 2)
Factor a**3/3 + 5*a**2 + 71*a/3 + 35.
(a + 3)*(a + 5)*(a + 7)/3
Suppose 5*f**4 + 260*f**3 + 2655*f**2 - 260*f - 2660 = 0. Calculate f.
-38, -14, -1, 1
Determine s so that -2*s**3/7 + 90*s**2 - 628*s/7 = 0.
0, 1, 314
Determine x, given that 3*x**3/2 + 1923*x**2/2 - 3855*x/2 + 1929/2 = 0.
-643, 1
Find z, given that z**3/2 - 7*z**2 + 4*z + 160 = 0.
-4, 8, 10
Find p, given that -2*p**5/9 - 26*p**4/3 - 286*p**3/9 - 70*p**2/3 = 0.
-35, -3, -1, 0
Find q such that 3*q**4 + 87*q**3 + 579*q**2 - 855*q - 1350 = 0.
-15, -1, 2
Factor -4*v**2 + 51712*v - 167133184.
-4*(v - 6464)**2
Let u**2 + 167*u + 1272 = 0. What is u?
-159, -8
Find g such that 2*g**2 - 166*g - 880 = 0.
-5, 88
Factor 2*j**2/21 + 12*j + 246/7.
2*(j + 3)*(j + 123)/21
Solve -2*i**4 - 18*i**3 - 46*i**2 - 6*i + 72 = 0.
-4, -3, 1
Determine o, given that -27*o**3 + 252*o**2 + 177*o + 30 = 0.
-1/3, 10
Find y such that -3*y**3/2 - 13*y**2/2 + 21*y + 36 = 0.
-6, -4/3, 3
Factor -s**2/4 - 189*s/2 - 377/4.
-(s + 1)*(s + 377)/4
Factor 4*u**3/7 - 4*u**2/7 - 8*u/7.
4*u*(u - 2)*(u + 1)/7
Factor -t**2 + 64*t - 399.
-(t - 57)*(t - 7)
Factor 3*m**3/7 + 204*m**2/7 - 207*m/7.
3*m*(m - 1)*(m + 69)/7
Factor -2*x**3/5 - 206*x**2/5 - 406*x/5 - 202/5.
-2*(x + 1)**2*(x + 101)/5
Factor -4*g**4 - 268*g**3 - 5208*g**2 - 20880*g + 64800.
-4*(g - 2)*(g + 9)*(g + 30)**2
Factor -3*w**2/2 - 3*w/2.
-3*w*(w + 1)/2
What is w in -5*w**2 + 1700*w - 144500 = 0?
170
Factor -4*s**4 - 28*s**3 + 516*s**2 - 1060*s - 1600.
-4*(s - 5)**2*(s + 1)*(s + 16)
Suppose 5*v**3 - 110*v**2 - 5*v + 110 = 0. What is v?
-1, 1, 22
Factor 38*j**3 - 102*j**2 + 40*j + 24.
2*(j - 2)*(j - 1)*(19*j + 6)
Factor 55*m**2/3 + 40*m/3 - 5.
5*(m + 1)*(11*m - 3)/3
Let -35*j**3 - 150*j**2 - 180*j - 40 = 0. What is j?
-2, -2/7
Suppose -14*q**4/23 + 144*q**3/23 - 502*q**2/23 + 636*q/23 - 144/23 = 0. Calculate q.
2/7, 3, 4
Determine f so that 18*f**3/11 + 114*f**2/11 + 128*f/11 + 40/11 = 0.
-5, -2/3
Find q such that -15*q**3 + 597*q**2 - 1980*q - 2592 = 0.
-1, 24/5, 36
Suppose -3*h**2/2 + 57*h + 645/2 = 0. What is h?
-5, 43
Factor -p**2 - 48*p - 527.
-(p + 17)*(p + 31)
Solve -g**3/3 - 74*g**2/3 - 73*g/3 = 0 for g.
-73, -1, 0
Solve 5*v**2 + 55*v + 150 = 0 for v.
-6, -5
Determine n, given that 3*n**2/8 + 471*n/8 + 447 = 0.
-149, -8
Suppose -t**4/2 - 52*t**3 - 2597*t**2/2 + 2809*t = 0. Calculate t.
-53, 0, 2
Determine p so that -3*p**3 + 18*p**2 = 0.
0, 6
Determine x, given that -5*x**3 + 445*x**2 - 10120*x + 9680 = 0.
1, 44
Factor -3*r**3/4 - 9*r**2/4 + 12*r - 9.
-3*(r - 2)*(r - 1)*(r + 6)/4
Suppose 3*a**5/8 - 19*a**4/4 + 125*a**3/8 - 49*a**2/4 - 6*a = 0. Calculate a.
-1/3, 0, 2, 3, 8
Let -2*m**2/11 - 294*m/11 - 292/11 = 0. Calculate m.
-146, -1
Factor -4*d**5 + 2228*d**4 - 313576*d**3 + 927400*d**2 - 922964*d + 306916.
-4*(d - 277)**2*(d - 1)**3
What is j in -2*j**4/3 + 26*j**3 - 210*j**2 - 882*j = 0?
-3, 0, 21
Let -2*j**3/3 = 0. Calculate j.
0
Find x such that 28*x**2/3 + 62*x/3 + 10 = 0.
-3/2, -5/7
What is u in 2*u**4/11 + 40*u**3/11 + 104*u**2/11 - 384*u/11 = 0?
-16, -6, 0, 2
Let 4*z**5 + 24*z**4 - 4*z**3 - 120*z**2 = 0. What is z?
-5, -3, 0, 2
Solve -8*k**3/13 + 10*k**2/13 - 2*k/13 = 0 for k.
0, 1/4, 1
Suppose -2*v**2 - 78*v + 252 = 0. Calculate v.
-42, 3
Factor -3*k**3 + 153*k**2 + 480*k + 324.
-3*(k - 54)*(k + 1)*(k + 2)
Factor 2*d**2/11 + 424*d/11 - 856/11.
2*(d - 2)*(d + 214)/11
Factor 5*j**3 - 370*j**2 - 3200*j - 6560.
5*(j - 82)*(j + 4)**2
Factor -5*g**3 + 65*g**2 + 5*g - 65.
-5*(g - 13)*(g - 1)*(g + 1)
What is n in -n**4/4 - 5*n**3/2 + 11*n**2/4 = 0?
-11, 0, 1
Let -3*d**4 + 291*d**3 + 3*d**2 - 291*d = 0. What is d?
-1, 0, 1, 97
Factor -2*a**4/5 + 38*a**3/5 + 126*a**2/5 + 26*a + 44/5.
-2*(a - 22)*(a + 1)**3/5
Factor -2*p**2/3 - 112*p + 680/3.
-2*(p - 2)*(p + 170)/3
Suppose -3*a**2 + 144*a + 147 = 0. What is a?
-