352*m/13 - 344/13 = 0.
2, 43
Determine p, given that -4*p**3 - 244*p**2 + 4*p + 244 = 0.
-61, -1, 1
What is d in 1875*d**4 + 15300*d**3 + 32412*d**2 + 4896*d + 192 = 0?
-4, -2/25
Determine q so that 3*q**2/4 + 1335*q - 5343/4 = 0.
-1781, 1
Let -12*t**4/7 - 16*t**3/7 + 16*t**2 - 64*t/7 = 0. Calculate t.
-4, 0, 2/3, 2
Find r such that r**3/7 - 2861*r**2/7 + 2047760*r/7 - 2044900/7 = 0.
1, 1430
Factor -4*i**2 + 3960*i + 7936.
-4*(i - 992)*(i + 2)
Factor 4*q**2/5 + 6724*q/5 - 6728/5.
4*(q - 1)*(q + 1682)/5
Factor 12*f**4/5 + 92*f**3/5 + 56*f**2/5.
4*f**2*(f + 7)*(3*f + 2)/5
Let 7*k**5/2 - 15*k**4 + 29*k**3/2 + 11*k**2 - 18*k + 4 = 0. What is k?
-1, 2/7, 1, 2
Factor 24*i**2 + 3628*i + 604.
4*(i + 151)*(6*i + 1)
Determine j so that -j**2/8 - 153*j/8 + 729/4 = 0.
-162, 9
Solve -f**2/10 + 218*f/5 + 437/10 = 0 for f.
-1, 437
Find u, given that 4*u**2 - 956*u + 952 = 0.
1, 238
Determine v, given that 4*v**4 + 24*v**3 - 148*v**2 + 120*v = 0.
-10, 0, 1, 3
Factor -3*z**4 + 90*z**3 - 996*z**2 + 4824*z - 8640.
-3*(z - 10)*(z - 8)*(z - 6)**2
Suppose -5*v**5/3 + v**4/3 + 5*v**3/3 - v**2/3 = 0. Calculate v.
-1, 0, 1/5, 1
Factor 10*x**3 - 984*x**2 + 392*x.
2*x*(x - 98)*(5*x - 2)
Let -2*s**2 - 28*s + 30 = 0. Calculate s.
-15, 1
Factor -c**2/5 - 42*c/5 - 297/5.
-(c + 9)*(c + 33)/5
Suppose 4*v**4/9 - 4*v**3/3 - 212*v**2/9 + 196*v/3 + 784/9 = 0. Calculate v.
-7, -1, 4, 7
Factor p**3/3 + 370*p**2/3 - 377*p/3 - 742.
(p - 3)*(p + 2)*(p + 371)/3
Factor -2*k**3 - 2*k**2.
-2*k**2*(k + 1)
Factor j**5/2 - 2*j**4 - j**3/2 + 2*j**2.
j**2*(j - 4)*(j - 1)*(j + 1)/2
What is i in i**2 - 1928*i - 1929 = 0?
-1, 1929
What is r in -r**5/2 - 9*r**4/2 + r**3 + 9*r**2 - r/2 - 9/2 = 0?
-9, -1, 1
Solve 3*a**5/4 + 9*a**4 + 21*a**3 + 9*a**2/2 - 87*a/4 - 27/2 = 0 for a.
-9, -2, -1, 1
Factor -5*w**2 - 655*w - 1920.
-5*(w + 3)*(w + 128)
Suppose y**4 - 115*y**2 + 330*y - 216 = 0. Calculate y.
-12, 1, 2, 9
Factor -5*a**3 + 10*a**2 + 1395*a + 8100.
-5*(a - 20)*(a + 9)**2
Find f, given that -f**2 + 6*f - 8 = 0.
2, 4
Factor -2*o**5/5 + 6*o**4 - 20*o**3 + 28*o**2 - 18*o + 22/5.
-2*(o - 11)*(o - 1)**4/5
Factor -6*c**4 - 3*c**3 + 15*c**2 - 6*c.
-3*c*(c - 1)*(c + 2)*(2*c - 1)
Suppose -4*y**3/3 + 40*y**2/9 - 4*y/3 = 0. What is y?
0, 1/3, 3
Factor -3*x**2/4 - 6*x - 9.
-3*(x + 2)*(x + 6)/4
Let -2*q**4/3 + 14*q**3 - 66*q**2 - 242*q/3 = 0. What is q?
-1, 0, 11
Factor u**3/6 + 541*u**2/6 - 271*u/3.
u*(u - 1)*(u + 542)/6
Determine o so that 2*o**3/3 + 140*o**2/9 - 32*o/3 = 0.
-24, 0, 2/3
Solve g**4/4 + 15*g**3/4 + 63*g**2/4 + 81*g/4 = 0 for g.
-9, -3, 0
Factor 2*q**2/9 - 32*q/3 + 128.
2*(q - 24)**2/9
Factor -2*v**5 + 8*v**4 + 24*v**3 + 4*v**2 - 22*v - 12.
-2*(v - 6)*(v - 1)*(v + 1)**3
Find m such that 14*m**4/5 + 16*m**3/5 - 12*m**2/5 - 16*m/5 - 2/5 = 0.
-1, -1/7, 1
Let 2*g**5/7 - 18*g**4/7 - 74*g**3/7 + 554*g**2/7 + 1248*g/7 + 640/7 = 0. Calculate g.
-5, -1, 8
What is n in -52*n**4 + 207*n**3 + 264*n**2 + 5*n = 0?
-1, -1/52, 0, 5
Factor j**2/2 - 509*j/2.
j*(j - 509)/2
What is r in -2*r**2 - 452*r - 25538 = 0?
-113
Find x such that -5*x**4 + 80*x**3 + 520*x**2 - 6720*x - 35280 = 0.
-6, 14
Suppose -8712*k**5/17 - 23518*k**4/17 - 12680*k**3/17 - 600*k**2/17 + 832*k/17 + 128/17 = 0. What is k?
-2, -4/11, -2/9, 1/4
Factor o**4/5 + 2*o**3 + 31*o**2/5 + 6*o.
o*(o + 2)*(o + 3)*(o + 5)/5
Determine g, given that 4*g**3/3 + 16*g**2/3 + 4*g = 0.
-3, -1, 0
Suppose -y**3/5 - 17*y**2/5 - 27*y/5 + 9 = 0. Calculate y.
-15, -3, 1
Suppose 12*a**2 + 15*a = 0. What is a?
-5/4, 0
Factor p**2/2 + 64*p.
p*(p + 128)/2
What is k in k**4/3 - 11*k**3/3 - 13*k**2 - 41*k/3 - 14/3 = 0?
-1, 14
What is v in -2*v**3/11 + 4*v**2/11 + 162*v/11 + 36 = 0?
-6, -3, 11
Factor -u**2/4 + u + 3.
-(u - 6)*(u + 2)/4
Let -3*d**2/2 + 6*d + 63/2 = 0. What is d?
-3, 7
What is n in -n**2/3 - 20*n - 300 = 0?
-30
Factor -f**3 - 13*f**2 - 10*f + 24.
-(f - 1)*(f + 2)*(f + 12)
Suppose -5*z**4 + 25*z**3 + 15*z**2 - 65*z - 50 = 0. What is z?
-1, 2, 5
Suppose 15*c**4 + 160*c**3 + 555*c**2 + 630*c = 0. Calculate c.
-14/3, -3, 0
Factor 5*x**2/6 - 95*x/6 + 40.
5*(x - 16)*(x - 3)/6
Let s**2/10 - 37*s/5 + 73/10 = 0. What is s?
1, 73
What is d in 2*d**4/11 + 14*d**3/11 - 60*d**2/11 + 8*d/11 + 80/11 = 0?
-10, -1, 2
Solve -u**4/2 - 4*u**3 - 17*u**2/2 - 5*u = 0 for u.
-5, -2, -1, 0
Find w, given that -5*w**5 + 470*w**4 - 10070*w**3 - 45580*w**2 - 59045*w - 24010 = 0.
-2, -1, 49
Factor 4*p**4/3 + 140*p**3/3 + 733*p**2/3 - 2870*p + 5043.
(p - 3)**2*(2*p + 41)**2/3
Factor x**2/5 - 232*x/5 - 233/5.
(x - 233)*(x + 1)/5
Factor -2*m**2/5 + 3408*m/5 - 1451808/5.
-2*(m - 852)**2/5
Determine j, given that j**3/6 - 7*j**2/6 - 28*j/3 - 8 = 0.
-4, -1, 12
Factor 4*u**3/5 + 936*u**2/5 + 73008*u/5 + 1898208/5.
4*(u + 78)**3/5
Suppose -c**3 + 15*c**2 + 117*c + 189 = 0. What is c?
-3, 21
Factor -2*k**3 - 52*k**2 - 48*k + 1152.
-2*(k - 4)*(k + 6)*(k + 24)
Solve 3*w**5/5 + w**4/5 - 18*w**3/5 - 6*w**2 - 17*w/5 - 3/5 = 0.
-1, -1/3, 3
Determine h, given that 5*h**3/4 - 35*h**2/4 - 25*h/2 + 20 = 0.
-2, 1, 8
Solve -2*g**2/5 + 6*g - 72/5 = 0.
3, 12
Suppose -2*f**4/5 - 12*f**3/5 - 16*f**2/5 + 12*f/5 + 18/5 = 0. What is f?
-3, -1, 1
Factor -3*x**2/2 + 147*x/2.
-3*x*(x - 49)/2
Find g, given that 5*g**2 + 340*g + 4655 = 0.
-49, -19
Factor 2*k**3/13 + 790*k**2/13 - 2396*k/13 - 3184/13.
2*(k - 4)*(k + 1)*(k + 398)/13
Suppose -a**4/2 + a**3/2 + 7*a**2/2 - a/2 - 3 = 0. What is a?
-2, -1, 1, 3
Factor -2*w**2 + 22*w/17 + 180/17.
-2*(w + 2)*(17*w - 45)/17
Suppose -g**5/3 - 58*g**4/3 + g**3 + 176*g**2/3 + 116*g/3 = 0. What is g?
-58, -1, 0, 2
Factor -2*g**3 - 350*g**2 - 15136*g + 15488.
-2*(g - 1)*(g + 88)**2
Factor 4*y**2 - 72*y.
4*y*(y - 18)
Let -a**5/3 + 10*a**4/3 - 4*a**3/3 - 38*a**2 + 39*a + 72 = 0. Calculate a.
-3, -1, 3, 8
What is m in m**4/4 + m**3 - m**2/4 - m = 0?
-4, -1, 0, 1
What is t in t**3/4 - 17*t**2/2 + 80*t - 128 = 0?
2, 16
Let 5*b**2 - 190*b + 185 = 0. What is b?
1, 37
Factor 2*c**2/7 + 86*c/7 + 12.
2*(c + 1)*(c + 42)/7
Determine n, given that 2*n**5/15 + 34*n**4/15 + 54*n**3/5 + 46*n**2/3 + 20*n/3 = 0.
-10, -5, -1, 0
Suppose -2*h**4/5 + 2*h**3 - 14*h**2/5 + 6*h/5 = 0. What is h?
0, 1, 3
Solve -3*m**3 + 10*m**2 - 8*m = 0 for m.
0, 4/3, 2
Determine a so that -25*a**5 - 10*a**4 + 74*a**3 + 80*a**2 + 23*a + 2 = 0.
-1, -1/5, 2
Factor n**3/8 - 343*n**2/8 + 171*n/4.
n*(n - 342)*(n - 1)/8
Determine f so that 3*f**2/7 + 333*f/7 + 330/7 = 0.
-110, -1
Factor 16*t**2 + 60*t + 56.
4*(t + 2)*(4*t + 7)
Factor f**2 + 9*f - 22.
(f - 2)*(f + 11)
Solve -2*j**2/21 + 104*j/7 - 4056/7 = 0 for j.
78
Factor 2*d**2 - 20*d + 32.
2*(d - 8)*(d - 2)
Factor -h**2 + 10*h + 75.
-(h - 15)*(h + 5)
Let -i**4/5 + 11*i**3/5 + 53*i**2/5 - 711*i/5 + 648/5 = 0. What is i?
-8, 1, 9
Suppose 5*w**5/2 + 127*w**4/2 + 80*w**3 - 98*w**2 - 48*w = 0. Calculate w.
-24, -2, -2/5, 0, 1
Factor b**2 - 52*b - 224.
(b - 56)*(b + 4)
Suppose 5*u**3/6 - 265*u**2/6 - 140*u/3 + 90 = 0. Calculate u.
-2, 1, 54
Determine b, given that -2*b**2/5 - 26*b/5 = 0.
-13, 0
Factor 4*x**3/3 + 722*x**2/3 - 362*x/3.
2*x*(x + 181)*(2*x - 1)/3
Determine i, given that 2*i**4 - 6*i**3 - 2*i**2 + 6*i = 0.
-1, 0, 1, 3
What is p in 4*p**5 + 208*p**4 + 2888*p**3 + 4400*p**2 - 7500*p = 0?
-25, -3, 0, 1
Determine q, given that 4*q**3 - 4*q**2 = 0.
0, 1
What is z in 28*z**4 + 8*z**3 - 1344*z**2 - 3968*z - 1024 = 0?
-4, -2/7, 8
Solve -p**3 - 3*p**2 + 18*p = 0 for p.
-6, 0, 3
Factor -2*y**2/11 - 348*y/11 - 15138/11.
-2*(y + 87)**2/11
Solve -2*f**2 - 12*f + 110 = 0.
-11, 5
Factor -2*b**2/9 - 10*b/9 - 4/3.
-2*(b + 2)*(b + 3)/9
Solve 69*y**2 + 129*y - 18 = 0 for y.
-2, 3/23
Let 2*m**3/11 - 122*m**2/11 + 236*m/11 = 0. What is m?
0, 2, 59
Factor -3*z**3 + 357*z**2 - 354*z.
-3*z*(z - 118)*(z - 1)
Solve -3*x**4/4 + 76*x**3 + 829*x**2/4 + 157*x/2 - 52 = 0 for x.
-2, -1, 1/3, 104
Factor -3*f**2 - 28*f - 9.
-(f + 9)*(3*f + 1)
Solve 2*q**4 - 158*q**3 + 1870*q**2 - 3274*q + 1560 = 0.
1, 12, 65
Solve -2*z**4 - 52*z**3 + 3*z**2/2 + 77*z/2 - 13 = 0.
-26, -1, 1/2
Suppose i**3 + 47*i**2/4 + 33*i - 9 = 0. Calculate i.
-6, 1/4
Factor -4*r**2 - 168*r - 608.
-4*(r + 4)*(r + 38)
Factor -2*i**3/3 + 20*i**2/3 + 254*i/3 - 272/3.
-2*(i - 17)*(i - 1)*(i + 8)/3
Let -15*u**3 + 3590*u**2 - 1195*u = 0. Calculate u.
0, 1/3, 239
Find l, given that -42*l**5 - 202*l**4 - 782*l**3/7 + 758*l**2/7 + 276*l/7 - 14