5 = 0?
-39, -1/2, 1
Factor 5*i**2 - 5*i - 30.
5*(i - 3)*(i + 2)
Let -4*i**4 - 12*i**3 - 8*i**2 = 0. What is i?
-2, -1, 0
Suppose -4*p**3 - 20*p**2 - 24*p = 0. Calculate p.
-3, -2, 0
Factor 4*v**2/5 + 12522*v/5 + 1252.
2*(v + 3130)*(2*v + 1)/5
Factor -484*l**2/5 - 496*l/5 - 12/5.
-4*(l + 1)*(121*l + 3)/5
Suppose 2*c**4/9 - 10*c**3/9 - 74*c**2/9 + 10*c/9 + 8 = 0. What is c?
-4, -1, 1, 9
Factor 4*o**5 - 24*o**4 + 52*o**3 - 48*o**2 + 16*o.
4*o*(o - 2)**2*(o - 1)**2
Find d, given that -d**3 - 75*d**2 - 1872*d - 15548 = 0.
-26, -23
Factor n**3 + 44*n**2 + 560*n + 1600.
(n + 4)*(n + 20)**2
Factor p**5/5 + p**4 - 14*p**3/5 + 2*p**2/5 + 13*p/5 - 7/5.
(p - 1)**3*(p + 1)*(p + 7)/5
Suppose 5*w**2 - 1355*w + 1350 = 0. Calculate w.
1, 270
Factor 2*r**3/9 - 920*r**2/9.
2*r**2*(r - 460)/9
Find u, given that u**2/6 + 11*u/2 + 16/3 = 0.
-32, -1
Factor -2*k**3/3 + 34*k**2/3 - 110*k/3 + 26.
-2*(k - 13)*(k - 3)*(k - 1)/3
Factor -2*s**2/9 + 50/9.
-2*(s - 5)*(s + 5)/9
Suppose -2*p**4 - 58*p**3 - 324*p**2 + 1408*p - 1024 = 0. What is p?
-16, 1, 2
Factor -10*w**3 + 45*w**2 + 55*w - 150.
-5*(w - 5)*(w + 2)*(2*w - 3)
Factor -2*v**2/3 + 32*v/3 - 56/3.
-2*(v - 14)*(v - 2)/3
Let 5*t**5/4 + 713*t**4/4 - 434*t**3 + 145*t**2 = 0. What is t?
-145, 0, 2/5, 2
Factor 5*o**2 - 830*o.
5*o*(o - 166)
Suppose 4*v**4 - 152*v**3 + 560*v**2 - 544*v = 0. What is v?
0, 2, 34
Solve 6*g**3/7 + 284*g**2/7 + 94*g/7 = 0 for g.
-47, -1/3, 0
Find a, given that a**5/10 - 21*a**4/10 + 19*a**3/2 + 41*a**2/2 - 198*a/5 - 242/5 = 0.
-2, -1, 2, 11
Let z**3 - 20*z**2 - 883*z + 902 = 0. Calculate z.
-22, 1, 41
Factor w**2/8 - 3*w/4 + 9/8.
(w - 3)**2/8
Factor 5*p**3 + 578*p**2 - 232*p.
p*(p + 116)*(5*p - 2)
Let -10*j**5 + 78*j**4 - 220*j**3 + 264*j**2 - 112*j = 0. What is j?
0, 1, 2, 14/5
Let -12292036*h**2 + 14024*h - 4 = 0. Calculate h.
1/1753
Suppose 27*r**3 - 213*r**2 + 520*r/3 - 112/3 = 0. Calculate r.
4/9, 7
Factor -2*t**5 - 280*t**4 - 1100*t**3 - 1640*t**2 - 1090*t - 272.
-2*(t + 1)**4*(t + 136)
What is g in 30*g**3 - 184*g**2 + 174*g - 20 = 0?
2/15, 1, 5
Factor -4*r**3/9 + 2*r**2/9 + 12*r + 16.
-2*(r - 6)*(r + 4)*(2*r + 3)/9
Find z, given that 245*z**4 - 2100*z**3 + 4080*z**2 - 1840*z + 240 = 0.
2/7, 2, 6
Let 3*r**4 - 24*r**3 + 69*r**2 - 84*r + 36 = 0. Calculate r.
1, 2, 3
Factor 3*n**3 + 45*n**2 + 150*n.
3*n*(n + 5)*(n + 10)
Suppose 2*n**3/7 + 88*n**2/7 + 1048*n/7 + 1760/7 = 0. What is n?
-22, -20, -2
Factor -f**2/4 + 251*f + 1005/4.
-(f - 1005)*(f + 1)/4
Find w such that -w**3/3 - 3*w**2 + 46*w/3 + 88 = 0.
-11, -4, 6
Let -2*x**3/7 + 12*x**2/7 + 2*x/7 - 12/7 = 0. What is x?
-1, 1, 6
Find t such that t**3/7 + 3*t**2 + 95*t/7 + 75/7 = 0.
-15, -5, -1
Let 2*t**3/3 + 106*t**2/3 + 1252*t/3 - 1360/3 = 0. Calculate t.
-34, -20, 1
Factor 3*v**5 - 24*v**4 + 45*v**3 + 24*v**2 - 48*v.
3*v*(v - 4)**2*(v - 1)*(v + 1)
Let 5*h**2 - 455*h - 460 = 0. Calculate h.
-1, 92
Solve -2*y**4/9 - 2*y**3/9 + 8*y**2/9 + 8*y/9 = 0.
-2, -1, 0, 2
Suppose -i**4/6 - 5*i**3/3 - 29*i**2/6 - 16*i/3 - 2 = 0. What is i?
-6, -2, -1
Solve -26*d**5/3 - 212*d**4/3 - 500*d**3/3 - 488*d**2/3 - 194*d/3 - 20/3 = 0.
-5, -1, -2/13
Factor -w**2 - 364*w - 363.
-(w + 1)*(w + 363)
Find p, given that 2*p**3 - 2*p**2 - 20*p - 16 = 0.
-2, -1, 4
Determine x so that -3*x**4 + 63*x**3 - 360*x**2 + 300*x = 0.
0, 1, 10
Factor -k**4/4 - k**3/4 + 7*k**2/4 + 13*k/4 + 3/2.
-(k - 3)*(k + 1)**2*(k + 2)/4
Solve p**2/6 + 7*p - 200/3 = 0 for p.
-50, 8
Solve -5*a**5 - 35*a**4 - 60*a**3 + 80*a**2 + 320*a + 240 = 0.
-3, -2, 2
Factor 5*f**2 - 68*f - 28.
(f - 14)*(5*f + 2)
Determine r, given that -2*r**5/5 - 8*r**4/5 + 126*r**3/5 + 4*r**2 - 376*r/5 + 48 = 0.
-10, -2, 1, 6
Find a, given that -12*a**2/5 + 267*a/5 - 66/5 = 0.
1/4, 22
Factor -2*p**2 - 16*p.
-2*p*(p + 8)
Factor -2*j**2/17 + 62*j/17 - 260/17.
-2*(j - 26)*(j - 5)/17
Suppose 3*v**2 - 3*v - 6 = 0. Calculate v.
-1, 2
Solve j**5/3 + 5*j**4/3 - 2*j**3/3 - 10*j**2/3 + j/3 + 5/3 = 0.
-5, -1, 1
Find p such that 2*p**5/7 + 8*p**4/7 - 8*p**3/7 - 44*p**2/7 + 6*p/7 + 36/7 = 0.
-3, -1, 1, 2
Factor 3*x**5/5 + 3*x**4/5 - 54*x**3/5 - 30*x**2 - 141*x/5 - 9.
3*(x - 5)*(x + 1)**3*(x + 3)/5
Suppose 2*r**3/9 - 202*r**2/9 + 398*r/9 - 22 = 0. What is r?
1, 99
Factor 3*b**4 + 21*b**3/4 + 3*b**2/2 - 3*b/4.
3*b*(b + 1)**2*(4*b - 1)/4
Solve -10*f**5 - 758*f**4 - 588*f**3 + 908*f**2 + 598*f - 150 = 0 for f.
-75, -1, 1/5, 1
Factor 4*d**3/3 - 20*d**2 - 64*d/3.
4*d*(d - 16)*(d + 1)/3
Determine d, given that d**2 - 13*d + 12 = 0.
1, 12
Suppose -j**5/6 - 5*j**4/6 + j**3 + 16*j**2/3 - 16*j/3 = 0. What is j?
-4, 0, 1, 2
Find y, given that 4*y**3 - 112*y**2 + 212*y - 104 = 0.
1, 26
Factor 20*r**3 + 192*r**2 + 340*r - 168.
4*(r + 3)*(r + 7)*(5*r - 2)
Factor -3*t**5 - 702*t**4 + 1413*t**3 - 708*t**2.
-3*t**2*(t - 1)**2*(t + 236)
Let 6*x**5 - 327*x**4/2 + 273*x**3/2 + 1488*x**2 + 870*x - 312 = 0. Calculate x.
-2, -1, 1/4, 4, 26
Factor -4*g**2 - 3944*g.
-4*g*(g + 986)
Factor -2*q**5 + 12*q**4 - 22*q**3 + 4*q**2 + 24*q - 16.
-2*(q - 2)**3*(q - 1)*(q + 1)
Factor 2*k**5/9 + 2*k**4/9 - 4*k**3/9 - 4*k**2/9 + 2*k/9 + 2/9.
2*(k - 1)**2*(k + 1)**3/9
What is w in -32*w**5/5 + 33*w**4/5 + 31*w**3/5 - 33*w**2/5 + w/5 = 0?
-1, 0, 1/32, 1
Suppose -2*b**3 + 20*b**2 + 704*b + 3328 = 0. What is b?
-8, 26
Suppose -5*m**2 - 1480*m - 109520 = 0. Calculate m.
-148
Suppose -i**4/4 + 6*i**3 - 143*i**2/4 = 0. Calculate i.
0, 11, 13
Solve -2*v**2/7 + 3300*v/7 - 1361250/7 = 0.
825
Solve -2*x**3/11 + 4*x**2/11 + 136*x/11 + 240/11 = 0.
-6, -2, 10
Determine n so that -3*n**2 + 108*n = 0.
0, 36
Solve -b**2 + 28*b - 27 = 0 for b.
1, 27
What is n in n**3/3 - 4*n**2 + 16*n - 64/3 = 0?
4
Factor -4*l**4 + 124*l**3 - 600*l**2.
-4*l**2*(l - 25)*(l - 6)
What is m in -m**4/6 + 65*m**3/6 + 91*m**2/2 + 69*m/2 = 0?
-3, -1, 0, 69
Factor -y**2 - 128*y + 260.
-(y - 2)*(y + 130)
Solve g**3 - 39*g**2 + 432*g - 972 = 0.
3, 18
Factor -4*j**2 + 1320*j - 108900.
-4*(j - 165)**2
Determine q, given that -21125*q**4/2 + 106275*q**3 - 203145*q**2/2 + 5950*q - 90 = 0.
2/65, 1, 9
Factor 25*t**3/2 - 115*t**2 - 98*t - 20.
(t - 10)*(5*t + 2)**2/2
Find s, given that -s**2/5 - 244*s - 74420 = 0.
-610
Factor -3*b**2 + 924*b - 71148.
-3*(b - 154)**2
Determine y, given that -y**2 + 357*y - 356 = 0.
1, 356
Find r, given that 2*r**5/19 + 358*r**4/19 - 740*r**3/19 - 2896*r**2/19 = 0.
-181, -2, 0, 4
Factor 3*b**4/7 - 27*b**3/7 + 12*b**2 - 108*b/7 + 48/7.
3*(b - 4)*(b - 2)**2*(b - 1)/7
Suppose 4*g**5 + 16*g**4 + 16*g**3 = 0. Calculate g.
-2, 0
Solve 4489*v**3 + 1608*v**2 + 144*v = 0 for v.
-12/67, 0
Determine y so that -35*y**3 - 6345*y**2 + 11000*y + 3660 = 0.
-183, -2/7, 2
Factor -28*a**2 + 50756*a + 14504.
-4*(a - 1813)*(7*a + 2)
Solve -d**2/2 - 29*d = 0.
-58, 0
Find l, given that 2*l**5 - 258*l**4 - 262*l**3 + 258*l**2 + 260*l = 0.
-1, 0, 1, 130
Determine d so that -33514875*d**3/2 + 216225*d**2 - 930*d + 4/3 = 0.
2/465
Factor 2*f**2/7 - 42*f + 864/7.
2*(f - 144)*(f - 3)/7
Factor x**3 + 23*x**2 + 120*x.
x*(x + 8)*(x + 15)
Solve -h**3/2 - 16*h**2/3 + 89*h/6 - 13/3 = 0.
-13, 1/3, 2
Let 2450*u**5/3 + 4130*u**4 - 1748*u**3/3 - 12380*u**2/3 - 234*u - 10/3 = 0. Calculate u.
-5, -1, -1/35, 1
Factor -3*y**2/2 - 231*y/2 - 225.
-3*(y + 2)*(y + 75)/2
Factor 4*u**2/9 - 280*u/9 + 1984/9.
4*(u - 62)*(u - 8)/9
Find k, given that -k**5 + 3*k**4 + k**3 - 3*k**2 = 0.
-1, 0, 1, 3
Factor -3*v**3 + 45*v**2 - 189*v + 147.
-3*(v - 7)**2*(v - 1)
Suppose 4*q**2 - 29*q + 7 = 0. What is q?
1/4, 7
Let -20*a**4/3 - 104*a**3/9 + 16*a**2/3 + 32*a/9 = 0. Calculate a.
-2, -2/5, 0, 2/3
Factor -3*u**2 - 8613*u.
-3*u*(u + 2871)
Factor 5*j**2 - 20*j.
5*j*(j - 4)
Factor -u**3/3 - 10*u**2/3 + 4*u/3 + 40/3.
-(u - 2)*(u + 2)*(u + 10)/3
Solve 3*x**4/7 + 33*x**3/7 - 75*x**2/7 + 39*x/7 = 0.
-13, 0, 1
Solve 8*l**2/7 + 46*l/7 - 25/7 = 0.
-25/4, 1/2
Find c such that 2*c**2/9 + 110*c/3 = 0.
-165, 0
Factor 2*u**3 + 20*u**2 + 42*u.
2*u*(u + 3)*(u + 7)
Factor 2*d**5/7 - 118*d**4/7 + 452*d**3/7 - 668*d**2/7 + 442*d/7 - 110/7.
2*(d - 55)*(d - 1)**4/7
Factor 15*v**3 + 189*v**2 - 78*v.
3*v*(v + 13)*(5*v - 2)
Find j such that 2*j**3/11 - 888*j**2/11 + 131424*j/11 - 6483584/11 = 0.
148
Factor -3*k**3/5 - 207*k**2/5 - 81*k - 201/5.
-3*(k + 1)**2*(k + 67)/5
Factor a**2/10 - 11*a/5 - 23/10.
(a - 23)*(a + 1)/10
Find k such that -24*k**4/7 - 134*k**3/7 - 32*k**2/7 = 0.
