-4*(v - 645)**2
Determine z, given that 2*z**2/5 + 936*z/5 + 109512/5 = 0.
-234
Determine a, given that -2*a**3/5 + 10*a**2 + 52*a/5 = 0.
-1, 0, 26
Suppose 4*p**4/7 - 24*p**2/7 - 32*p/7 - 12/7 = 0. Calculate p.
-1, 3
What is h in -6*h**5/7 + 12*h**4 - 288*h**3/7 - 12*h**2 + 42*h = 0?
-1, 0, 1, 7
Find l, given that l**2/3 + 17*l/3 + 52/3 = 0.
-13, -4
Factor -l**4/2 - 63*l**3/2 - 887*l**2/2 + 3531*l/2 + 2178.
-(l - 4)*(l + 1)*(l + 33)**2/2
Factor h**2 - 14*h.
h*(h - 14)
Factor -28*r**3 - 2400*r**2 + 3124*r - 696.
-4*(r - 1)*(r + 87)*(7*r - 2)
Solve 6*r**5/7 - 27*r**4/7 - 51*r**3/7 + 174*r**2/7 + 288*r/7 + 96/7 = 0.
-2, -1, -1/2, 4
Factor 128*m**2/7 - 7136*m/7 + 99458/7.
2*(8*m - 223)**2/7
Factor -n**4 + 20*n**3 - 78*n**2 - 220*n - 121.
-(n - 11)**2*(n + 1)**2
Factor 18*h**2/23 - 8*h/23 - 88/23.
2*(h + 2)*(9*h - 22)/23
Factor -y**3/4 - 672*y**2 - 602112*y - 179830784.
-(y + 896)**3/4
What is j in -4*j**5 + 4*j**4 + 92*j**3 - 20*j**2 - 232*j + 160 = 0?
-4, -2, 1, 5
Factor 2*d**2 + 164*d - 166.
2*(d - 1)*(d + 83)
Solve 10*b**4 - 4818*b**3 + 579846*b**2 + 116162*b = 0.
-1/5, 0, 241
Find o, given that 252*o**4 - 8*o**3 - 252*o**2 + 8*o = 0.
-1, 0, 2/63, 1
Factor -2*x**3 - 34*x**2 + 74*x - 38.
-2*(x - 1)**2*(x + 19)
Find g such that 2*g**2/11 + 5608*g/11 + 3931208/11 = 0.
-1402
Suppose 64*d**4 + 272*d**3 + 240*d**2 - 116*d - 40 = 0. Calculate d.
-5/2, -2, -1/4, 1/2
Suppose -4*j**3 + 12*j**2 = 0. What is j?
0, 3
Factor 4*q**2/5 - 16*q + 60.
4*(q - 15)*(q - 5)/5
Factor 2*q**3/13 - 40*q**2/13 + 2*q + 228/13.
2*(q - 19)*(q - 3)*(q + 2)/13
Solve a**3 - 30*a**2 + 273*a - 784 = 0 for a.
7, 16
Factor 4*m**2/3 + 28*m/3 + 40/3.
4*(m + 2)*(m + 5)/3
Factor 3*h**2 - 3486*h.
3*h*(h - 1162)
Let -3*h**5 + 60*h**4 - 234*h**3 - 660*h**2 - 363*h = 0. Calculate h.
-1, 0, 11
Factor -4*h**2 - 108*h + 112.
-4*(h - 1)*(h + 28)
Suppose -9*f**3 + 51*f**2 - 42*f = 0. What is f?
0, 1, 14/3
Let -2*p**2 + 1244*p + 3750 = 0. Calculate p.
-3, 625
Factor 2*a**4 + 18*a**3 + 30*a**2 + 14*a.
2*a*(a + 1)**2*(a + 7)
Find x, given that 5*x**3/2 - 75*x**2/2 + 180*x - 280 = 0.
4, 7
Factor 5*g**5 - 75*g**4 - 30*g**3 + 410*g**2 + 585*g + 225.
5*(g - 15)*(g - 3)*(g + 1)**3
Determine a so that -a**3/7 + 2598*a**2/7 + 2599*a/7 = 0.
-1, 0, 2599
Factor -z**3/10 + 102*z**2/5 - 4992*z/5 - 21632/5.
-(z - 104)**2*(z + 4)/10
Factor -14*f**3 - 3324*f**2 + 13320*f/7 - 272.
-2*(f + 238)*(7*f - 2)**2/7
Factor 25*p**4 + 160*p**3 - 555*p**2 + 270*p.
5*p*(p - 2)*(p + 9)*(5*p - 3)
Factor -12*s**2 - 22527*s - 5631.
-3*(s + 1877)*(4*s + 1)
Solve -10*z**3 - 443*z**2 - 132*z = 0.
-44, -3/10, 0
Determine t, given that t**2/3 - 49*t/3 + 46 = 0.
3, 46
Factor -2*t**2 - 1316*t - 2624.
-2*(t + 2)*(t + 656)
Factor 2*q**4 + 68*q**3 - 744*q**2 - 31428*q - 30618.
2*(q - 21)*(q + 1)*(q + 27)**2
Factor 47089*b**5/2 + 47957*b**4/2 + 436*b**3 + 2*b**2.
b**2*(b + 1)*(217*b + 2)**2/2
Factor o**4/8 + 7*o**3/2 + 13*o**2/2 - 252*o + 648.
(o - 4)**2*(o + 18)**2/8
Determine n so that -n**5/3 + 52*n**4/3 - 96*n**3 + 560*n**2/3 - 368*n/3 = 0.
0, 2, 46
Find n, given that n**2/2 + 2035*n/2 - 1018 = 0.
-2036, 1
Factor 2*o**4 + 8*o**3 - 18*o**2 - 72*o.
2*o*(o - 3)*(o + 3)*(o + 4)
Determine n, given that -6*n**5/5 - 32*n**4 - 248*n**3/5 + 12*n**2 + 254*n/5 + 20 = 0.
-25, -1, -2/3, 1
What is o in -200*o**4/13 + 360*o**3/13 - 162*o**2/13 = 0?
0, 9/10
Solve -15*c**2/2 - 745*c/2 - 245 = 0 for c.
-49, -2/3
Factor -56*m**3/9 - 68*m**2 + 44*m/9.
-4*m*(m + 11)*(14*m - 1)/9
Let 4*m**2/3 - 19112*m/3 = 0. Calculate m.
0, 4778
Determine r, given that r**3 + 64*r**2 + 57*r - 378 = 0.
-63, -3, 2
Solve -4*i**4 + 2736*i**3 - 475992*i**2 + 2782512*i - 4137156 = 0.
3, 339
Solve -4*r**3 + 612*r**2 - 31212*r + 530604 = 0.
51
Suppose -f**5 - 32*f**4 + 407*f**3 - 606*f**2 - 2556*f - 1512 = 0. What is f?
-42, -1, 6
Suppose 5*w**4 - 240*w**3 + 2610*w**2 + 7000*w - 9375 = 0. Calculate w.
-3, 1, 25
Factor 2*i**2/17 + 86*i/17.
2*i*(i + 43)/17
Find v such that -3*v**4/5 + 2*v**3 - 12*v**2/5 + 6*v/5 - 1/5 = 0.
1/3, 1
Determine n, given that 5*n**4 - 50*n**3 - 685*n**2 - 630*n = 0.
-7, -1, 0, 18
Solve i**3/7 - 500*i**2 - 7003*i/7 - 3502/7 = 0 for i.
-1, 3502
Suppose -3*k**5 + 123*k**4 - 1173*k**3 - 2295*k**2 + 9072*k + 15876 = 0. Calculate k.
-2, 3, 21
Factor 3*r**2/5 + 918*r/5 + 1824/5.
3*(r + 2)*(r + 304)/5
Solve 4*g**5 + 168*g**4 - 8*g**3 - 336*g**2 + 4*g + 168 = 0.
-42, -1, 1
Solve 6*i**3/7 + 170*i**2/7 + 176*i + 56 = 0.
-14, -1/3
Suppose -o**5/3 - o**4/3 + 10*o**3 - 74*o**2/3 + 67*o/3 - 7 = 0. Calculate o.
-7, 1, 3
What is t in -t**4/2 + 6*t**3 + 14*t**2 = 0?
-2, 0, 14
Factor o**3/4 + 19*o**2/4 + 26*o + 35.
(o + 2)*(o + 7)*(o + 10)/4
What is y in 3*y**3/2 - 39*y**2/2 - 69*y - 48 = 0?
-2, -1, 16
Determine w so that -2*w**4/13 - 64*w**3/13 - 174*w**2/13 + 8*w/13 + 232/13 = 0.
-29, -2, 1
Factor 2*l**4/11 - 60*l**3/11 + 600*l**2/11 - 2000*l/11.
2*l*(l - 10)**3/11
Factor -q**2/7 + 111*q/7 + 136.
-(q - 119)*(q + 8)/7
Determine x so that -3*x**3 + 15*x**2 + 6*x - 72 = 0.
-2, 3, 4
Suppose 5*s**3/4 + 3*s**2/4 - 5*s/4 - 3/4 = 0. Calculate s.
-1, -3/5, 1
Factor -4*i**2 - 22896*i - 32764176.
-4*(i + 2862)**2
Factor -19*h**4/3 + 102*h**3 - 416*h**2 + 128*h/3.
-h*(h - 8)**2*(19*h - 2)/3
Solve -3*n**2/7 + 1020*n/7 - 1017/7 = 0.
1, 339
Solve -a**3 - 389*a**2 + 781*a - 391 = 0 for a.
-391, 1
Suppose -2*q**2 - 1366*q - 1364 = 0. What is q?
-682, -1
Factor -190*k**4 - 94*k**3 + 12*k**2.
-2*k**2*(5*k + 3)*(19*k - 2)
What is q in 6*q**3/7 + 6840*q**2/7 - 13698*q/7 + 6852/7 = 0?
-1142, 1
Factor 5*x**3 + 270*x**2 - 1140*x + 1160.
5*(x - 2)**2*(x + 58)
Factor j**2/6 - 13*j/6 - 34/3.
(j - 17)*(j + 4)/6
Factor 35*s**3 + 130*s**2 + 145*s + 50.
5*(s + 1)*(s + 2)*(7*s + 5)
Factor 98*l**3/3 + 560*l**2/3 - 166*l/3 + 4.
2*(l + 6)*(7*l - 1)**2/3
Let -5*q**2 + 15*q + 50 = 0. What is q?
-2, 5
Factor -3*p**3/4 - 15*p**2/2 + 69*p/4 + 99.
-3*(p - 4)*(p + 3)*(p + 11)/4
Determine p so that 6*p**2 + 98*p - 68 = 0.
-17, 2/3
Factor 15*w**4 + 258*w**3 + 999*w**2 - 972*w.
3*w*(w + 9)**2*(5*w - 4)
Solve 5*p**5 + 95*p**4 + 290*p**3 - 1490*p**2 + 1705*p - 605 = 0 for p.
-11, 1
Let -28*z**2 + 548*z = 0. What is z?
0, 137/7
Find l such that -3*l**3 - 60*l**2 + 453*l - 390 = 0.
-26, 1, 5
Determine j, given that -5*j**5 - 90*j**4 - 465*j**3 - 400*j**2 + 960*j = 0.
-8, -3, 0, 1
Factor -22*a**2 - 28*a + 32.
-2*(a + 2)*(11*a - 8)
Factor -4*l**4 - 28*l**3 + 208*l**2 - 368*l + 192.
-4*(l - 2)**2*(l - 1)*(l + 12)
Let -3*r**3/5 - 51*r**2/5 + 387*r/5 - 621/5 = 0. What is r?
-23, 3
Determine v, given that -12*v**3/5 - 88*v**2 + 604*v/5 - 152/5 = 0.
-38, 1/3, 1
Factor 2*b**2/9 + 128*b/9 + 14.
2*(b + 1)*(b + 63)/9
Find b, given that 2*b**3 + 12*b**2 - 64 = 0.
-4, 2
Let -2*c**2/5 - 254*c/5 = 0. Calculate c.
-127, 0
Solve i**5 + 55*i**4 - 121*i**3 - 403*i**2 - 228*i = 0.
-57, -1, 0, 4
Factor 2*o**4/5 - 484*o**3/5 + 29762*o**2/5 - 11616*o + 5760.
2*(o - 120)**2*(o - 1)**2/5
Let -o**4/4 - 7*o**3/2 + 17*o**2 - 18*o = 0. What is o?
-18, 0, 2
Factor -u**2/4 + 24*u + 297/4.
-(u - 99)*(u + 3)/4
Factor -2*v**2/3 - 928*v/3 + 2198.
-2*(v - 7)*(v + 471)/3
Factor 2*y**2/3 - 50*y/9 - 4.
2*(y - 9)*(3*y + 2)/9
Find o such that -2*o**2 + 394*o + 1200 = 0.
-3, 200
Let -2*z**3/5 - 4*z**2 + 64*z/5 + 192/5 = 0. What is z?
-12, -2, 4
Let 5*z**4/3 + 65*z**3/3 + 65*z**2 + 45*z = 0. Calculate z.
-9, -3, -1, 0
Let -2*v**4/9 + 22*v**3/9 + 26*v**2/9 - 22*v/9 - 8/3 = 0. Calculate v.
-1, 1, 12
Suppose -5*s**2 + 34150*s - 58311125 = 0. Calculate s.
3415
Factor 4*m**2 - 708*m + 4104.
4*(m - 171)*(m - 6)
Solve -4*x**2/5 + 28*x/5 + 72/5 = 0.
-2, 9
Determine u so that 5*u**4 + 345*u**3 - 1085*u**2 - 345*u + 1080 = 0.
-72, -1, 1, 3
What is s in -2*s**5 + 64*s**4 + 136*s**3 + 4*s**2 - 134*s - 68 = 0?
-1, 1, 34
Determine p, given that 2*p**2 - 3982*p - 3984 = 0.
-1, 1992
What is f in -2*f**4 + 8*f**3 + 26*f**2 - 56*f - 120 = 0?
-2, 3, 5
Factor -h**5 + 193*h**4 - 9018*h**3 - 28420*h**2 - 19208*h.
-h*(h - 98)**2*(h + 1)*(h + 2)
Factor -2*k**3/11 + 56*k/11 + 96/11.
-2*(k - 6)*(k + 2)*(k + 4)/11
Factor -5*r**2 - 4895*r.
-5*r*(r + 979)
Find a such that 22*a**4/5 + 2*a**3/5 - 4*a**2 = 0.
-1, 0, 10/11
Factor 48*r**3/5 + 51*r**2/5 - 93*r/5 - 6/5.
3*(r - 1)*(r + 2)*(16*r + 1)/5
Factor -3*g**3/5 - 39*g**2 - 378*g/5.
-3*g*(g + 2)*(g + 63)/5
Suppose 3*c**2 - 426*c - 429 = 0