r i.
-3, 2, 16
Solve 3*k**4 - 3*k**3 - 12*k**2 + 12*k = 0.
-2, 0, 1, 2
Factor -2*c**3 + 4*c**2 + 6*c.
-2*c*(c - 3)*(c + 1)
Determine o so that -o**3/2 - 4*o**2 + 312*o - 2304 = 0.
-32, 12
Suppose -5*u**2 + 20*u - 20 = 0. Calculate u.
2
Factor -k**2 + 591*k + 1186.
-(k - 593)*(k + 2)
Determine q, given that -2*q**2 + 48*q = 0.
0, 24
What is x in 5*x**5 - 275*x**4 - 585*x**3 + 835*x**2 + 1160*x - 1140 = 0?
-2, 1, 57
Suppose -2*g**2/9 - 412*g/9 - 272/3 = 0. What is g?
-204, -2
Let 5*k**3 - 330*k**2 = 0. What is k?
0, 66
Suppose -5*q**4/2 - 85*q**3/2 - 140*q**2 - 130*q = 0. What is q?
-13, -2, 0
Factor r**2/5 - 2468*r/5 + 1522756/5.
(r - 1234)**2/5
What is q in 25*q**2 - 1280*q + 1500 = 0?
6/5, 50
Factor -2*m**3 + 24*m**2 - 72*m + 64.
-2*(m - 8)*(m - 2)**2
Determine z so that 63*z**5 - 258*z**4 + 339*z**3 - 156*z**2 + 12*z = 0.
0, 2/21, 1, 2
Find b such that -2*b**2/5 - 124*b/5 - 154 = 0.
-55, -7
Determine a so that -25*a**3 + 2540*a**2 - 15605*a - 6650 = 0.
-2/5, 7, 95
Factor -3*w**3/2 + 333*w**2 - 24642*w + 607836.
-3*(w - 74)**3/2
Factor 4*b**3 - 36*b**2 + 56*b + 96.
4*(b - 6)*(b - 4)*(b + 1)
Factor -u**2/2 - 1153*u/2.
-u*(u + 1153)/2
Factor 4*i**2 - 544*i.
4*i*(i - 136)
Factor -4*u**3 + 167*u**2 - 1722*u - 441.
-(u - 21)**2*(4*u + 1)
Suppose -l**3/10 - 7*l**2/10 + 2*l/5 + 14/5 = 0. Calculate l.
-7, -2, 2
Let 4*r**5 - 4*r**4 - 40*r**3 - 32*r**2 = 0. Calculate r.
-2, -1, 0, 4
Suppose -7*v**5 - 33*v**4 + 10*v**3 + 140*v**2 + 72*v - 32 = 0. Calculate v.
-4, -2, -1, 2/7, 2
Factor 9*j**2 + 21*j + 6.
3*(j + 2)*(3*j + 1)
Determine o so that 3*o**4 + 15*o**3 + 24*o**2 + 12*o = 0.
-2, -1, 0
Let -5*h**3 - 1290*h**2 + 5*h + 1290 = 0. What is h?
-258, -1, 1
Factor -12*c**3 + 74*c**2 - 74*c + 20.
-2*(c - 5)*(2*c - 1)*(3*c - 2)
Factor -6*i**3/11 - 36*i**2/11 - 6*i - 36/11.
-6*(i + 1)*(i + 2)*(i + 3)/11
Factor 5*t**5 - 160*t**4 + 1685*t**3 - 6670*t**2 + 11180*t - 6760.
5*(t - 13)**2*(t - 2)**3
Factor -d**3 + 27*d**2 - 42*d - 200.
-(d - 25)*(d - 4)*(d + 2)
Solve -10*t**2 - 354*t - 140 = 0.
-35, -2/5
Find i such that -3*i**4 + 111*i**3 - 294*i**2 - 408*i = 0.
-1, 0, 4, 34
Factor 3*p**2 + 10428*p + 9061932.
3*(p + 1738)**2
What is i in -i**3/7 - 17*i**2/7 + 37*i/7 - 19/7 = 0?
-19, 1
Factor -3*a**2/2 + 675*a - 151875/2.
-3*(a - 225)**2/2
Factor -5*b**3/3 + 5*b**2/3 + 10*b/3.
-5*b*(b - 2)*(b + 1)/3
Factor x**3 - 8*x**2 + 19*x - 12.
(x - 4)*(x - 3)*(x - 1)
Factor 2*s**2/11 - 36*s/11.
2*s*(s - 18)/11
Factor 4*s**3/7 + 1124*s**2/7 + 948*s + 9900/7.
4*(s + 3)**2*(s + 275)/7
What is o in -3*o**3 - 918*o**2 - 93636*o - 3183624 = 0?
-102
Determine k, given that 2*k**2/3 - 836*k/3 - 842 = 0.
-3, 421
Let 5*k**4/4 - 207*k**3 - 2007*k**2/4 - 755*k/2 - 84 = 0. What is k?
-1, -2/5, 168
Find i such that -i**2/3 + 5*i + 34/3 = 0.
-2, 17
Factor -2*y**4/15 - 32*y**3/15 - 6*y**2 + 108*y/5.
-2*y*(y - 2)*(y + 9)**2/15
Solve -16*n**2/3 + 117*n/2 + 11/6 = 0 for n.
-1/32, 11
Solve -4*a**4 + 20*a**3 + 28*a**2 - 164*a + 120 = 0 for a.
-3, 1, 2, 5
Determine s, given that 5*s**3 + 20*s**2 = 0.
-4, 0
Find h such that 2*h**3/9 - 8*h**2/9 - 32*h/9 + 128/9 = 0.
-4, 4
Let -4*o**4 + 1960*o**3 - 236148*o**2 - 968240*o - 976144 = 0. Calculate o.
-2, 247
Determine o so that -4*o**4 - 1136*o**3 - 82892*o**2 - 316960*o - 235200 = 0.
-140, -3, -1
Find a, given that -4515*a**5/4 + 2697*a**4 - 2058*a**3 + 1083*a**2/2 - 213*a/4 + 3/2 = 0.
2/43, 1/7, 1/5, 1
Factor 3*h**2/5 - 21*h/5 + 36/5.
3*(h - 4)*(h - 3)/5
Solve 2*a**4/3 + 136*a**3/3 + 856*a**2 + 8704*a/3 + 8192/3 = 0 for a.
-32, -2
Find x such that x**2/7 - 485*x/7 - 486/7 = 0.
-1, 486
Factor 4*v**3/5 - 2*v**2/5 - 26*v/5 - 12/5.
2*(v - 3)*(v + 2)*(2*v + 1)/5
Factor -5*x**3 - 595*x**2.
-5*x**2*(x + 119)
Factor -2*q**4/3 + 8*q**2/3.
-2*q**2*(q - 2)*(q + 2)/3
Suppose 2*k**2 - 16896*k + 35684352 = 0. Calculate k.
4224
Let z**3/3 - 32*z**2 - 97*z/3 = 0. Calculate z.
-1, 0, 97
Factor -3*a**3/4 - 3*a**2/4 + 33*a/2 + 30.
-3*(a - 5)*(a + 2)*(a + 4)/4
Suppose 2*j**5/15 + 4*j**4/3 + 8*j**3/3 - 4*j**2/3 - 14*j/5 = 0. What is j?
-7, -3, -1, 0, 1
Suppose -o**3 - 59*o**2/6 - 35*o/3 - 17/6 = 0. Calculate o.
-17/2, -1, -1/3
Solve 2*w**4/7 + 30*w**3/7 - 6*w**2 - 166*w/7 - 96/7 = 0.
-16, -1, 3
Determine y, given that -3*y**2 - 603*y - 1194 = 0.
-199, -2
Find y, given that 5*y**4 - 255*y**3/4 + 735*y**2/4 - 130*y - 45 = 0.
-1/4, 2, 9
What is m in 3*m**4 + 498*m**3 - 9*m**2 - 1500*m - 996 = 0?
-166, -1, 2
Let -2*m**2/7 + 16*m + 354/7 = 0. Calculate m.
-3, 59
Let 2*w**5/7 - 2*w**4 + 4*w**3 - 16*w**2/7 = 0. Calculate w.
0, 1, 2, 4
Find i, given that 4*i**2 + 24*i - 28 = 0.
-7, 1
Factor -5*p**2 + 650*p - 21125.
-5*(p - 65)**2
Factor 4*s**2 + 116*s + 552.
4*(s + 6)*(s + 23)
Factor -4*y**4 - 200*y**3 - 3172*y**2 - 16800*y - 28224.
-4*(y + 4)**2*(y + 21)**2
Solve 3*b**2 + 1902*b = 0.
-634, 0
Find v such that -3*v**2/4 - 24*v - 192 = 0.
-16
Factor -5*i**4 - 45*i**3 - 100*i**2 - 60*i.
-5*i*(i + 1)*(i + 2)*(i + 6)
Factor -z**2/6 - 11*z/6 - 5/3.
-(z + 1)*(z + 10)/6
Determine s so that -2*s**4/11 - 2788*s**3/11 - 971618*s**2/11 = 0.
-697, 0
Factor -5*b**4 + 97*b**3 - 438*b**2 - 340*b + 200.
-(b - 10)**2*(b + 1)*(5*b - 2)
Let 5*h**5 + 85*h**4 + 560*h**3 + 1780*h**2 + 2720*h + 1600 = 0. Calculate h.
-5, -4, -2
Suppose -52*x**3 - 116*x**2 + 160*x + 368 = 0. What is x?
-2, 23/13
Factor 3*n**3 + 18*n**2 + 9*n - 30.
3*(n - 1)*(n + 2)*(n + 5)
Solve 33*s**5 - 136*s**4 + 125*s**3 + 70*s**2 - 68*s - 24 = 0.
-6/11, -1/3, 1, 2
What is m in -2*m**5 + 14*m**4 = 0?
0, 7
Find i, given that 3*i**2 + 501*i + 990 = 0.
-165, -2
Factor 4*x**5 - 12*x**4 - 52*x**3 + 60*x**2.
4*x**2*(x - 5)*(x - 1)*(x + 3)
Factor -3*b**3 + 615*b**2 - 606*b - 1224.
-3*(b - 204)*(b - 2)*(b + 1)
Factor 2*y**3/5 - 34*y**2.
2*y**2*(y - 85)/5
Factor -3*o**3 - 69*o**2 + 495*o - 783.
-3*(o - 3)**2*(o + 29)
Determine a, given that -5*a**2 - 5650*a - 1596125 = 0.
-565
Determine g so that -5*g**3 - 935*g**2 - 45955*g - 207025 = 0.
-91, -5
What is h in -h**3/4 - 29*h**2/4 + 171*h/2 = 0?
-38, 0, 9
Find r such that -6*r**2 + 363*r/8 + 21 = 0.
-7/16, 8
Factor 2*g**3/9 + 10*g**2/3 - 2*g/9 - 10/3.
2*(g - 1)*(g + 1)*(g + 15)/9
Suppose -4*l**5/7 - 12*l**4/7 + 4*l**3/7 + 12*l**2/7 = 0. What is l?
-3, -1, 0, 1
Suppose -3*x**5 - 15*x**4 + 96*x**3 + 804*x**2 + 1824*x + 1344 = 0. Calculate x.
-4, -2, 7
Factor c**4/2 + 4*c**3 + 12*c**2 + 16*c + 8.
(c + 2)**4/2
Suppose -2*h**3/7 + 174*h**2/7 + 180*h/7 - 352/7 = 0. Calculate h.
-2, 1, 88
Factor -5*t**4 + 10*t**3 + 65*t**2 + 50*t.
-5*t*(t - 5)*(t + 1)*(t + 2)
Suppose -n**5/3 + 18*n**4 - 545*n**3/3 - 1700*n**2 - 1500*n = 0. Calculate n.
-5, -1, 0, 30
Factor -l**3/2 - 24*l**2 + 151*l/2 - 51.
-(l - 2)*(l - 1)*(l + 51)/2
Factor -4*d**4 + 128*d**3 + 132*d**2.
-4*d**2*(d - 33)*(d + 1)
Suppose 3*z**3/2 + 45*z**2/2 - 429*z = 0. Calculate z.
-26, 0, 11
Find j, given that 3*j**2/4 + 735*j/4 - 1875/2 = 0.
-250, 5
Determine n, given that 3*n**5 - 918*n**4 + 72042*n**3 - 278148*n**2 + 343827*n - 136806 = 0.
1, 2, 151
Factor 2*w**4/13 - 190*w**3/13 + 6138*w**2/13 - 71114*w/13 + 119164/13.
2*(w - 31)**3*(w - 2)/13
Factor -4*h**2 - 1400*h - 2784.
-4*(h + 2)*(h + 348)
Let -3*o**5/4 + 75*o**4/4 - 267*o**3/4 + 321*o**2/4 - 63*o/2 = 0. Calculate o.
0, 1, 2, 21
Factor d**3 + 4*d**2 + d - 6.
(d - 1)*(d + 2)*(d + 3)
Factor 86*v**3/5 + 176*v**2/5 + 94*v/5 + 4/5.
2*(v + 1)**2*(43*v + 2)/5
Factor -4*y**2 - 72*y.
-4*y*(y + 18)
Find v such that 54*v**5 + 540*v**4 + 1584*v**3 + 1888*v**2 + 992*v + 192 = 0.
-6, -2, -2/3
Solve -3*y**3/4 + 4173*y**2/4 - 364350*y + 1083681 = 0 for y.
3, 694
Suppose 5*p**3 + 455*p**2 - 3400*p + 2940 = 0. Calculate p.
-98, 1, 6
Factor -2*c**2 - 124*c + 390.
-2*(c - 3)*(c + 65)
Factor 3*d**2/8 - 159*d/4 + 315/8.
3*(d - 105)*(d - 1)/8
Let -2*v**2/15 - 2678*v/15 + 1788/5 = 0. What is v?
-1341, 2
Solve f**3/8 - 5*f**2/8 + 3*f/8 + 9/8 = 0.
-1, 3
Factor -4*j**4/9 - 32*j**3/9 - 80*j**2/9 - 64*j/9.
-4*j*(j + 2)**2*(j + 4)/9
Factor a**3/4 + 5*a**2/2 + 3*a - 18.
(a - 2)*(a + 6)**2/4
Factor -3*s**3 + 60*s**2 - 276*s + 336.
-3*(s - 14)*(s - 4)*(s - 2)
Suppose 5*i**5 - 10*i**4 - 75*i**3 = 0. What is i?
-3, 0, 5
Suppose 3*m**5 + 12*m**4 + 15*m**3 + 6*m**2 = 0. What is m?
-2, -1, 0
Let -t**4 + t**3 + 3*t**2 - t - 2 = 0. Calculate t.
-1, 1, 2
Factor i**2/3 + 34*i/3 + 40.
(i + 4)*(i + 30)/3
Factor 132*w**3 - 916*w