
-4*(n - 259)**2
Let 20*i**3 + 335*i**2 + 955*i - 260 = 0. What is i?
-13, -4, 1/4
Find y, given that -16*y**5/7 - 22*y**4/7 + 10*y**3/7 + 22*y**2/7 + 6*y/7 = 0.
-1, -3/8, 0, 1
Factor -u**4/2 - 3*u**3 - 5*u**2/2.
-u**2*(u + 1)*(u + 5)/2
Factor b**4/4 + 11*b**3/2 + 37*b**2/4 - 15*b.
b*(b - 1)*(b + 3)*(b + 20)/4
Factor 2*p**2/7 + 278*p/7 - 564/7.
2*(p - 2)*(p + 141)/7
Factor 7*j**3 + 859*j**2 - 1114*j + 248.
(j - 1)*(j + 124)*(7*j - 2)
Factor -3*r**2 - 153*r + 486.
-3*(r - 3)*(r + 54)
Suppose -5*v**3 - 705*v**2 + 5*v + 705 = 0. Calculate v.
-141, -1, 1
Find d, given that -2*d**3/13 + 18*d**2/13 + 42*d/13 - 490/13 = 0.
-5, 7
Find o, given that 3*o**5 + 183*o**4 + 828*o**3 - 732*o**2 - 3360*o = 0.
-56, -5, -2, 0, 2
Factor -2*h**2 - 468*h - 27378.
-2*(h + 117)**2
Let m**4 - 140*m**3 + 5998*m**2 - 76860*m + 301401 = 0. What is m?
9, 61
Factor 9*i**4 - 69*i**3 + 22*i**2 + 132*i + 56.
(i - 7)*(i - 2)*(3*i + 2)**2
Factor -2*p**4 - 48*p**3 - 428*p**2 - 1680*p - 2450.
-2*(p + 5)**2*(p + 7)**2
Suppose 3*d**5 - 21*d**4 + 21*d**3 + 57*d**2 - 48*d - 60 = 0. What is d?
-1, 2, 5
Determine c, given that -2*c**3/3 + 160*c**2 - 9912*c + 111392/3 = 0.
4, 118
Find i such that 5*i**2 + 95*i + 440 = 0.
-11, -8
Let j**2 - 130*j + 4225 = 0. Calculate j.
65
Determine d, given that 12*d**5/5 - 6*d**4/5 - 6*d**3/5 = 0.
-1/2, 0, 1
Factor 5*u**5 + 130*u**4 + 1205*u**3 + 4600*u**2 + 6080*u + 2560.
5*(u + 1)**2*(u + 8)**3
Factor -j**3/2 + 63*j**2/2 - 959*j/2 + 897/2.
-(j - 39)*(j - 23)*(j - 1)/2
Factor -b**2/10 - 327*b/5 - 106929/10.
-(b + 327)**2/10
Factor -v**5/2 + 11*v**4/2 - 21*v**3 + 34*v**2 - 20*v.
-v*(v - 5)*(v - 2)**3/2
Find m, given that 4*m**2 - 60*m + 216 = 0.
6, 9
Factor 64*m**4 + 32*m**3 - 796*m**2 + 388*m - 48.
4*(m - 3)*(m + 4)*(4*m - 1)**2
Factor 27*j**3 - 93*j**2 + 48*j + 60.
3*(j - 2)**2*(9*j + 5)
Solve -l**2 - 50*l - 336 = 0 for l.
-42, -8
Solve -147*o**4 + 8316*o**3 - 55137*o**2 + 29484*o - 4116 = 0 for o.
2/7, 7, 49
Find c such that -6*c**4 + 11074*c**3 - 5118940*c**2 + 8493464*c + 3400336 = 0.
-1/3, 2, 922
Factor 2*m**2/3 + 4*m - 14/3.
2*(m - 1)*(m + 7)/3
Factor -4*c**2 - 32*c + 132.
-4*(c - 3)*(c + 11)
Factor 3*k**3/4 + 6*k**2 + 33*k/4 - 15.
3*(k - 1)*(k + 4)*(k + 5)/4
Factor m**2/6 + 229*m/6.
m*(m + 229)/6
Let -2*m**3 + 1246*m**2/5 - 148*m - 496/5 = 0. What is m?
-2/5, 1, 124
Factor 3*z**3 - 69*z**2 - 1455*z - 3663.
3*(z - 37)*(z + 3)*(z + 11)
Factor 2*l**2/17 + 128*l/17 - 4450/17.
2*(l - 25)*(l + 89)/17
Solve -2*r**2/7 + 124*r/7 - 1922/7 = 0 for r.
31
Let 5*i**2 - 845 = 0. What is i?
-13, 13
Determine x, given that 2*x**3 - 566*x**2 = 0.
0, 283
Find m, given that m**2/9 + 28*m/3 - 29 = 0.
-87, 3
Determine n so that n**2 + 96*n + 95 = 0.
-95, -1
Solve 2*t**5 + 206*t**4 + 4768*t**3 - 27440*t**2 + 45792*t - 23328 = 0.
-54, 1, 2
Suppose -c**2/2 + 73*c/6 - 4 = 0. Calculate c.
1/3, 24
Factor 9*p**4/5 + 21*p**3/5 + 3*p**2 + 3*p/5.
3*p*(p + 1)**2*(3*p + 1)/5
Factor -u**3/4 + 11*u**2/2 - 35*u + 50.
-(u - 10)**2*(u - 2)/4
Factor w**2 + 106*w + 2809.
(w + 53)**2
Let l**3/9 - 7*l**2 + 182*l/9 - 40/3 = 0. What is l?
1, 2, 60
Factor -i**4 + 170*i**3 - 336*i**2.
-i**2*(i - 168)*(i - 2)
Factor -j**4/4 + 69*j**3/4 - 87*j**2/2 - 416*j + 1320.
-(j - 66)*(j - 4)**2*(j + 5)/4
Factor 2*c**4/9 - 2*c**3/3 - 2*c**2/9 + 2*c/3.
2*c*(c - 3)*(c - 1)*(c + 1)/9
Find t such that 4*t**3/13 - 46*t**2/13 + 56*t/13 + 40/13 = 0.
-1/2, 2, 10
Solve -2*w**2/3 + 200*w - 1192/3 = 0 for w.
2, 298
Determine v, given that 64*v**4 + 196*v**3 + 140*v**2 + 8*v = 0.
-2, -1, -1/16, 0
Factor -3*q**2 - 954*q + 957.
-3*(q - 1)*(q + 319)
Factor -3*f**4 - 528*f**3 - 34848*f**2 - 1022208*f - 11244288.
-3*(f + 44)**4
Factor j**2/3 - 7*j.
j*(j - 21)/3
Determine v, given that 5*v**3 + 30*v**2 - 5*v - 30 = 0.
-6, -1, 1
Determine u, given that 2*u**3/17 - 20*u**2/17 - 74*u/17 - 52/17 = 0.
-2, -1, 13
Factor -3*g**2 - 120*g - 228.
-3*(g + 2)*(g + 38)
Suppose 3*m**4 - 3*m**2 = 0. Calculate m.
-1, 0, 1
Suppose o**5/2 + 9*o**4/2 - 2*o**3 - 18*o**2 = 0. What is o?
-9, -2, 0, 2
Factor 3*s**5 + 18*s**4 + 15*s**3.
3*s**3*(s + 1)*(s + 5)
Find r, given that -5*r**4 + 55*r**3 - 90*r**2 - 280*r + 320 = 0.
-2, 1, 4, 8
Factor -r**2/2 - 9*r/2.
-r*(r + 9)/2
Factor -l**4/3 + 4*l**3/3 - 16*l/3 + 16/3.
-(l - 2)**3*(l + 2)/3
Find y such that 70*y**5 - 214*y**4 - 128*y**3 + 848*y**2 - 608*y + 32 = 0.
-2, 2/35, 1, 2
Let -490*y**3/3 - 322*y**2 - 144*y - 56/3 = 0. What is y?
-7/5, -2/7
Factor l**4/5 - 101*l**3/5 + 99*l**2/5 + 101*l/5 - 20.
(l - 100)*(l - 1)**2*(l + 1)/5
Find o such that -4*o**2 - 88*o - 484 = 0.
-11
Let 2*z**3/7 + 16*z**2/21 - 10*z/21 - 4/7 = 0. What is z?
-3, -2/3, 1
Factor 2*v**2/3 - 36*v + 208/3.
2*(v - 52)*(v - 2)/3
Factor -2*t**3 - 714*t**2 - 63366*t + 64082.
-2*(t - 1)*(t + 179)**2
Suppose 2*s**4/11 - 14*s**3/11 - 16*s**2/11 = 0. What is s?
-1, 0, 8
Factor -3*c**3/8 + 603*c**2/4 + 3639*c/8 + 1215/4.
-3*(c - 405)*(c + 1)*(c + 2)/8
Factor -5*a**3/4 + 51*a**2/2 + 45*a - 22.
-(a - 22)*(a + 2)*(5*a - 2)/4
Factor 2*w**3/19 + 914*w**2/19 + 2728*w/19 + 1816/19.
2*(w + 1)*(w + 2)*(w + 454)/19
Suppose j**2/4 - 91*j/4 + 355 = 0. Calculate j.
20, 71
Solve -y**3 + 419*y**2/2 - 10920*y - 11025/2 = 0 for y.
-1/2, 105
Determine m, given that 7*m**4 - 173*m**3 + 1042*m**2 + 312*m = 0.
-2/7, 0, 12, 13
Let z**5/4 + 3*z**4 + 51*z**3/4 + 22*z**2 + 12*z = 0. What is z?
-4, -3, -1, 0
Find v such that -4*v**2 - 216*v - 2340 = 0.
-39, -15
Let h**5 + 5*h**4 + 7*h**3 - h**2 - 8*h - 4 = 0. What is h?
-2, -1, 1
Suppose -100*f**2/7 - 148*f/7 - 48/7 = 0. What is f?
-1, -12/25
Let -3*t**5 - 162*t**4 + 345*t**3 + 504*t**2 = 0. Calculate t.
-56, -1, 0, 3
Suppose n**5 + 4*n**4 - 107*n**3 + 422*n**2 - 544*n + 224 = 0. Calculate n.
-14, 1, 4
Factor -2*v**2/9 - 70*v/9 - 68/9.
-2*(v + 1)*(v + 34)/9
Factor 12*o**3/5 + 18*o**2/5 - 12*o/5.
6*o*(o + 2)*(2*o - 1)/5
Factor 4*j**4 + 40*j**3 - 28172*j**2 - 141360*j + 49956624.
4*(j - 57)**2*(j + 62)**2
Solve 2*y**3 + 32*y**2 - 96*y - 2304 = 0.
-12, 8
Find m, given that -2*m**4/9 - 430*m**3/9 - 142*m**2 - 1274*m/9 - 424/9 = 0.
-212, -1
Let -f**5 - f**4 + 10*f**3 - 8*f**2 = 0. Calculate f.
-4, 0, 1, 2
What is j in 15*j**5 - 4505*j**4 - 3030*j**3 + 6010*j**2 + 3015*j - 1505 = 0?
-1, 1/3, 1, 301
Solve -2*u**5 - 5*u**4/2 + 5*u**3 + 5*u**2/2 - 3*u = 0 for u.
-2, -1, 0, 3/4, 1
Suppose 8*u**5 - 134*u**4 + 470*u**3 + 774*u**2 + 162*u = 0. What is u?
-1, -1/4, 0, 9
Factor 4*b**2/7 + 32*b/7 - 36/7.
4*(b - 1)*(b + 9)/7
Determine o, given that -o**4/3 + 11*o**3/3 + 25*o**2/3 + 13*o/3 = 0.
-1, 0, 13
Factor -2*w**3/3 - 2*w**2 + 8*w/3 + 8.
-2*(w - 2)*(w + 2)*(w + 3)/3
Factor -2*o**3/5 + 24*o**2/5 - 72*o/5.
-2*o*(o - 6)**2/5
Factor -2*q**2/19 - 110*q/19 + 472/19.
-2*(q - 4)*(q + 59)/19
Factor 5*f**4 + 75*f**3 - 165*f**2 + 85*f.
5*f*(f - 1)**2*(f + 17)
Find x such that 5*x**4 - 150*x**3 + 275*x**2 + 150*x - 280 = 0.
-1, 1, 2, 28
Factor 50*y**2 + 320*y + 512.
2*(5*y + 16)**2
Factor l**2/5 + 116*l/5.
l*(l + 116)/5
Let -l**3 - 164*l**2 + 331*l - 166 = 0. Calculate l.
-166, 1
Find x such that -5*x**3 - 570*x**2 - 21660*x - 274360 = 0.
-38
Suppose -2*l**2/9 - 256*l/9 - 8192/9 = 0. What is l?
-64
Factor -2*o**4/15 + 2*o**2/5 - 4*o/15.
-2*o*(o - 1)**2*(o + 2)/15
Factor -4*t**2 + 8736*t - 4769856.
-4*(t - 1092)**2
Let 2*z**2 - 7160*z + 6408200 = 0. Calculate z.
1790
Factor 16562*r**2/15 + 728*r/15 + 8/15.
2*(91*r + 2)**2/15
Let -2*p**3/5 + 16*p**2/5 - 6*p = 0. What is p?
0, 3, 5
Solve -2*q**3/3 + 4*q**2 + 158*q/3 + 104 = 0.
-4, -3, 13
Factor -b**5/6 + 10*b**4 - 355*b**3/2 + 2515*b**2/3 - 1530*b + 972.
-(b - 27)**2*(b - 2)**3/6
Determine c so that 4*c**4 + 2392*c**3 - 4796*c**2 + 2400*c = 0.
-600, 0, 1
Solve -v**2/4 - v + 5/4 = 0 for v.
-5, 1
Determine c, given that -c**2/5 + 11*c/5 + 12/5 = 0.
-1, 12
Factor 5*z**3 - 280*z**2 + 805*z - 530.
5*(z - 53)*(z - 2)*(z - 1)
Factor 28*v**3 - 1408*v**2 - 2512*v + 832.
4*(v - 52)*(v + 2)*(7*v - 2)
Factor 2*z**3 + 20*z**2 + 56*z + 48.
2*(z + 2)**2*(z + 6)
Factor l**4 - 4*l**3 - 51*l**2 - 86*l - 40.
(l - 10)*(l + 1)**2*(l + 4)
Factor 1569*f**4 - 4710*f**3 + 4716*f**2 - 1578*f + 3.
3*(f - 1)**3*(523*f - 1)
Suppose a**4 + 13*a**3 + 60*a**2 + 112*a + 64 = 0. Calculate a.
-4, -1
Suppose 2*p**2/7 - 370*p/7 + 368/7 = 0. Calculate p.
1, 184
Determine a, given that -4*a**3 + 8*a**2 + 32*a = 0.
-2, 0,