5*d**4 - 100*d**3 + 415*d**2 + 520*d = 0. What is d?
-1, 0, 8, 13
Factor -4*l**2 - 16*l + 384.
-4*(l - 8)*(l + 12)
Determine l so that l**2 + 9*l + 14 = 0.
-7, -2
Suppose 5*b**3/2 - 13*b**2/2 + 3*b = 0. What is b?
0, 3/5, 2
Determine m, given that m**4/3 + 4*m**3/3 + m**2/3 - 2*m = 0.
-3, -2, 0, 1
Factor s**2 - 4*s + 3.
(s - 3)*(s - 1)
Determine i so that i**2/5 - 22*i/5 - 91 = 0.
-13, 35
Determine r, given that -2*r**2/3 + 40*r - 118/3 = 0.
1, 59
Solve x**2/5 + 11*x + 574/5 = 0.
-41, -14
Factor -2*n**2 - 6*n + 20.
-2*(n - 2)*(n + 5)
Determine s so that -4*s**4/5 + 12*s**3 - 296*s**2/5 + 528*s/5 - 288/5 = 0.
1, 2, 6
Solve 6*s**5/11 + 18*s**4/11 - 90*s**3/11 - 114*s**2/11 + 180*s/11 = 0.
-5, -2, 0, 1, 3
Factor -g**2 + 4*g + 12.
-(g - 6)*(g + 2)
Factor c**2 - 573*c/5 - 46.
(c - 115)*(5*c + 2)/5
Suppose 4*o**5 + 108*o**4 - 2080*o**3 = 0. Calculate o.
-40, 0, 13
What is o in o**4/2 - 15*o**3/2 + 19*o**2/2 + 87*o/2 + 26 = 0?
-1, 4, 13
Factor -2*v**4/11 - 222*v**3/11 - 20*v**2.
-2*v**2*(v + 1)*(v + 110)/11
What is r in r**2 + 38*r + 192 = 0?
-32, -6
Determine x so that -2*x**3 + 40*x**2 - 234*x + 324 = 0.
2, 9
Determine y, given that y**4/2 - y**3/2 - 37*y**2/2 - 47*y/2 + 42 = 0.
-4, -3, 1, 7
Factor -81*m**4 + 117*m**3 - 40*m**2 + 4*m.
-m*(m - 1)*(9*m - 2)**2
Factor 2*u**4/3 - 4*u**3 + 16*u**2/3.
2*u**2*(u - 4)*(u - 2)/3
Factor -d**4/3 + 40*d**3/3 - 200*d**2 + 4000*d/3 - 10000/3.
-(d - 10)**4/3
Suppose -3*x**3/4 - 165*x**2/2 = 0. What is x?
-110, 0
Factor -m**4/5 - 13*m**3/5 - 57*m**2/5 - 19*m - 10.
-(m + 1)*(m + 2)*(m + 5)**2/5
Find q such that q**3/5 + 84*q**2 - 843*q/5 + 422/5 = 0.
-422, 1
What is s in 3*s**3/7 + 12*s**2/7 + 9*s/7 = 0?
-3, -1, 0
Factor i**3 - 5*i**2 + 2*i + 8.
(i - 4)*(i - 2)*(i + 1)
Factor -i**3 - 742*i**2 + 4479*i - 6732.
-(i - 3)**2*(i + 748)
Factor 3*a**2/2 + 21*a/2 - 90.
3*(a - 5)*(a + 12)/2
Solve -4*i**5 + 12*i**4 - 4*i**3 - 12*i**2 + 8*i = 0.
-1, 0, 1, 2
Factor 4*q**3 - 20*q**2 + 24*q.
4*q*(q - 3)*(q - 2)
Let -3*g**3/2 - 69*g**2/2 - 120*g - 114 = 0. Calculate g.
-19, -2
Determine h, given that -4*h**5 + 60*h**4 - 272*h**3 + 336*h**2 = 0.
0, 2, 6, 7
Suppose -2*x**3/15 - 2098*x**2/5 - 330330*x - 4948658/15 = 0. What is x?
-1573, -1
Find s, given that 35*s**5 - 2235*s**4 - 9700*s**3 - 10860*s**2 - 1360*s = 0.
-2, -1/7, 0, 68
Let -2*d**4/5 - 204*d**3/5 - 5202*d**2/5 = 0. Calculate d.
-51, 0
Factor -1024*k**3 - 5632*k**2 + 1456*k - 92.
-4*(4*k + 23)*(8*k - 1)**2
Solve 2*m**4/7 - 22*m**2/7 - 36*m/7 - 16/7 = 0 for m.
-2, -1, 4
Factor -a**5 + 4*a**3 + 2*a**2 - 3*a - 2.
-(a - 2)*(a - 1)*(a + 1)**3
Factor 3*d**5 - 90*d**4 + 252*d**3 - 246*d**2 + 81*d.
3*d*(d - 27)*(d - 1)**3
What is v in 5*v**5 - 40*v**4 + 25*v**3 + 190*v**2 + 120*v = 0?
-1, 0, 4, 6
Find j such that -3*j**5/5 - 153*j**4/5 - 126*j**3 + 7692*j**2/5 - 18072*j/5 + 2592 = 0.
-45, -12, 2
Factor -f**4 - 16*f**3 - 42*f**2 - 40*f - 13.
-(f + 1)**3*(f + 13)
Let -q**4/5 + 2*q**3/5 + q**2 - 6*q/5 = 0. Calculate q.
-2, 0, 1, 3
Factor 2*f**3/7 + 2*f**2/7 - 16*f/7 - 24/7.
2*(f - 3)*(f + 2)**2/7
Suppose -8*y**5/7 - 6*y**4 + 110*y**3/7 + 10*y**2 - 102*y/7 - 4 = 0. Calculate y.
-7, -1, -1/4, 1, 2
Factor 5*d**2 - 15*d.
5*d*(d - 3)
Find f such that 2*f**2 + 34*f - 168 = 0.
-21, 4
Solve -5*k**3/2 - 85*k**2/2 = 0 for k.
-17, 0
Let 10*u**3/7 - 902*u**2/7 - 1660*u/7 + 368/7 = 0. What is u?
-2, 1/5, 92
Determine t, given that 8*t**4 - 4*t**3 - 20*t**2 - 8*t = 0.
-1, -1/2, 0, 2
Solve 15*t**3 - 247*t**2 + 110*t + 32 = 0 for t.
-1/5, 2/3, 16
Factor 18*k**2 - 3074*k - 684.
2*(k - 171)*(9*k + 2)
Let -q**2 - 22*q - 121 = 0. What is q?
-11
Find v such that 3*v**3 + 54*v**2 - 183*v + 126 = 0.
-21, 1, 2
Factor 2*c**3 + 62*c**2 + 268*c + 208.
2*(c + 1)*(c + 4)*(c + 26)
Factor -27*p**2 - 8148*p + 1812.
-3*(p + 302)*(9*p - 2)
Suppose v**5/11 + 10*v**4/11 - 3*v**3/11 - 32*v**2/11 - 20*v/11 = 0. What is v?
-10, -1, 0, 2
What is d in -d**3 - 13*d**2 - 40*d - 36 = 0?
-9, -2
Suppose -2*k**4/13 + 4*k**3/13 + 72*k**2/13 - 4*k/13 - 70/13 = 0. Calculate k.
-5, -1, 1, 7
Find x, given that -5*x**3 + 80*x**2 - 385*x + 490 = 0.
2, 7
Solve -2*y**2/11 + 378*y/11 - 376/11 = 0 for y.
1, 188
Factor -h**5/2 + h**4/2 + h**3 - h**2 - h/2 + 1/2.
-(h - 1)**3*(h + 1)**2/2
Let -2*z**3/9 - 16*z**2/9 - 38*z/9 - 8/3 = 0. What is z?
-4, -3, -1
Determine y so that y**5/2 + 5*y**4/2 - 38*y**3 - 304*y**2 - 624*y - 360 = 0.
-6, -2, -1, 10
Factor -2*j**3/5 - 4*j**2/5 + 2*j/5 + 4/5.
-2*(j - 1)*(j + 1)*(j + 2)/5
Factor n**2/2 - 37*n/2 - 105.
(n - 42)*(n + 5)/2
Let 28*l**4 + 552*l**3 + 2948*l**2 + 4152*l - 1440 = 0. Calculate l.
-12, -5, -3, 2/7
Factor 3*p**2 + 9*p + 6.
3*(p + 1)*(p + 2)
Factor -5*l**2 - 65*l - 150.
-5*(l + 3)*(l + 10)
Determine u, given that 8*u**4/3 - 20*u**3/3 - 4*u**2 = 0.
-1/2, 0, 3
Factor -13*p**3/8 - 25*p**2/8 - 11*p/8 + 1/8.
-(p + 1)**2*(13*p - 1)/8
Factor 51*z**3/2 + 24*z**2 - 3*z/2.
3*z*(z + 1)*(17*z - 1)/2
Factor 3*v**3 - 135*v**2 - 138*v.
3*v*(v - 46)*(v + 1)
Solve 2*m**4 - 26*m**3 - 30*m**2 + 26*m + 28 = 0.
-1, 1, 14
Let 2*k**4/11 + 12*k**3/11 + 6*k**2/11 - 20*k/11 = 0. What is k?
-5, -2, 0, 1
Factor -t**4/3 + 40*t**3/3 + t**2 - 122*t/3 + 80/3.
-(t - 40)*(t - 1)**2*(t + 2)/3
Find j, given that -3*j**3/8 - 201*j**2/8 - 1575*j/4 = 0.
-42, -25, 0
What is m in -2*m**3/3 - 262*m**2/3 = 0?
-131, 0
Factor -2*q**3/7 - 6*q**2/7 + 2*q/7 + 6/7.
-2*(q - 1)*(q + 1)*(q + 3)/7
Factor 3*f**2/2 - 1764*f + 518616.
3*(f - 588)**2/2
Factor -r**2/4 - r - 3/4.
-(r + 1)*(r + 3)/4
Factor 4*c**3/7 - 9372*c**2/7 + 7319532*c/7 - 1905518164/7.
4*(c - 781)**3/7
Factor -5*y**4 + 80*y**3 + 5770*y**2 - 48720*y - 1854405.
-5*(y - 29)**2*(y + 21)**2
Factor -3*m**3/2 + 603*m**2 + 2430*m + 2436.
-3*(m - 406)*(m + 2)**2/2
Factor -3*g**2/7 - 306*g/7 - 303/7.
-3*(g + 1)*(g + 101)/7
Find l, given that -4*l**4/7 - 44*l**3/7 + 124*l**2/7 + 236*l/7 - 312/7 = 0.
-13, -2, 1, 3
Determine g so that g**5/9 - 16*g**4/9 + 19*g**3/3 + 158*g**2/9 - 644*g/9 - 392/3 = 0.
-2, 6, 7
Factor u**3/4 + 957*u**2/2 + 305283*u + 64923518.
(u + 638)**3/4
Suppose 63*g**2/2 + 4983*g/2 + 237 = 0. Calculate g.
-79, -2/21
Factor -b**3 - b**2 + 736*b + 7936.
-(b - 31)*(b + 16)**2
Factor -4*f**4 - 28*f**3 - 20*f**2 + 28*f + 24.
-4*(f - 1)*(f + 1)**2*(f + 6)
Suppose -x**5/2 + 7*x**4/2 + 9*x**3/2 - 67*x**2/2 + 8*x + 42 = 0. Calculate x.
-3, -1, 2, 7
Factor a**2/5 + 2051*a/5.
a*(a + 2051)/5
Solve -2*f**3/11 + 54*f**2/11 - 42*f + 110 = 0 for f.
5, 11
Factor 5*a**4 + 25*a**3 - 40*a**2 - 240*a.
5*a*(a - 3)*(a + 4)**2
Suppose -i**3/5 + 3*i/5 + 2/5 = 0. What is i?
-1, 2
Factor -2*v**2/7 + 16*v/7 - 30/7.
-2*(v - 5)*(v - 3)/7
Factor 20*a**3/7 - 102*a**2/7 + 130*a/7 - 12/7.
2*(a - 3)*(a - 2)*(10*a - 1)/7
Factor -2*j**5/5 - 18*j**4/5 - 16*j**3/5.
-2*j**3*(j + 1)*(j + 8)/5
Factor 3*w**2 - 750*w - 2277.
3*(w - 253)*(w + 3)
Find m such that -40*m**2/7 + 62*m/7 + 36/7 = 0.
-9/20, 2
Factor 2*y**2/3 - 46*y - 140/3.
2*(y - 70)*(y + 1)/3
What is v in -84*v**5 + 165*v**4 - 72*v**3 - 15*v**2 + 6*v = 0?
-2/7, 0, 1/4, 1
Solve -2*n**2/5 + 22*n/5 - 48/5 = 0 for n.
3, 8
Solve -8*c**3/3 + 34*c**2/3 - 6*c - 12 = 0 for c.
-3/4, 2, 3
Find f, given that 2*f**3 - 18*f**2 + 16*f = 0.
0, 1, 8
Find b, given that -6*b**3/11 + 334*b**2/11 - 218*b/11 - 10 = 0.
-1/3, 1, 55
Solve 4*p**2/5 - 108*p/5 - 128 = 0 for p.
-5, 32
Factor -z**2/4 - 117*z/4 - 29.
-(z + 1)*(z + 116)/4
Factor v**3 + 2*v**2 - 25*v - 50.
(v - 5)*(v + 2)*(v + 5)
Factor k**4/9 + 31*k**3/9 + 133*k**2/9 + 23*k/3 - 26.
(k - 1)*(k + 3)**2*(k + 26)/9
Factor -a**3/4 - 99*a**2/2 + a/4 + 99/2.
-(a - 1)*(a + 1)*(a + 198)/4
Factor p**2 - 307*p + 610.
(p - 305)*(p - 2)
Factor 5*b**3 - 470*b**2 - 485*b + 950.
5*(b - 95)*(b - 1)*(b + 2)
Factor 32*j**4 - 126*j**3 + 120*j**2 + 8*j.
2*j*(j - 2)**2*(16*j + 1)
Let 44*j**4 - 36*j**3 - 52*j**2 + 36*j + 8 = 0. What is j?
-1, -2/11, 1
Find w, given that -5*w**2/2 + 1010*w + 6105/2 = 0.
-3, 407
Factor 3*p**5 + 21*p**4 + 48*p**3 + 24*p**2 - 48*p - 48.
3*(p - 1)*(p + 2)**4
Factor 3*i**2 + 564*i + 26508.
3*(i + 94)**2
Suppose -3*j**2 + 219*j - 216 = 0. Calculate j.
1, 72
Factor 3*m**2 - 1083*m + 1080.
3*(m - 360)*(m - 1)
Find i, given that 5*i**4 + 80*i**3 + 145*i**2 + 70*i = 0.
-14, -1, 0
Factor 4*j**4 - 1180*j**3 + 89900*j**2 - 420500*j.
4*j*(j - 145)**2*(j - 5)
Let -4*a**3 + 256*a**2 + 4*a - 256 = 0. Calculate a.
-1, 1, 