uppose -2*n**3 + 104*n**2 + 32*n - 1664 = 0. What is n?
-4, 4, 52
Factor c**5 + 66*c**4 + 584*c**3 + 1366*c**2 + 1239*c + 392.
(c + 1)**3*(c + 7)*(c + 56)
Factor -4*f**4 + 60*f**3 + 68*f**2 - 60*f - 64.
-4*(f - 16)*(f - 1)*(f + 1)**2
Factor -5*g**2 - 50*g + 1320.
-5*(g - 12)*(g + 22)
Determine a so that 4*a**5 - 12*a**4 - 12*a**3 + 28*a**2 + 24*a = 0.
-1, 0, 2, 3
Factor -r**4/5 + 67*r**3/5 - 1216*r**2/5 + 3072*r/5.
-r*(r - 32)**2*(r - 3)/5
Solve -i**3 + 76*i**2 - 75*i = 0 for i.
0, 1, 75
Factor -2*a**3/5 + 8*a/5.
-2*a*(a - 2)*(a + 2)/5
Suppose 3*t**5/8 - 15*t**4/8 - 12*t**3 + 27*t**2 + 162*t + 162 = 0. What is t?
-3, -2, 6
Let -f**5 - 141*f**4 - 5571*f**3 - 42795*f**2 - 121176*f - 117612 = 0. Calculate f.
-66, -3
Suppose c**4 - 4*c**3 - 59*c**2 + 126*c = 0. Calculate c.
-7, 0, 2, 9
Factor -l**2/6 - 2*l/3 + 16/3.
-(l - 4)*(l + 8)/6
Factor -4*r**3 - 23364*r**2 - 34128960*r - 34105600.
-4*(r + 1)*(r + 2920)**2
Determine c so that 2*c**3/5 - 444*c**2/5 + 442*c/5 = 0.
0, 1, 221
Factor 8*x**2/11 + 30*x/11 - 8/11.
2*(x + 4)*(4*x - 1)/11
Factor 5*n**2 + 170*n + 1445.
5*(n + 17)**2
Solve 3*n**3 - 189*n**2 - 192*n = 0.
-1, 0, 64
Suppose -3*y**2 - 6084*y - 3084588 = 0. What is y?
-1014
What is h in 5125*h**5 - 21575*h**4 + 11280*h**3 + 20392*h**2 + 4720*h - 48 = 0?
-2/5, 2/205, 2, 3
Find y, given that 5*y**2 + 65*y + 150 = 0.
-10, -3
Factor -2*d**5/5 + 44*d**4/5 + 40*d**3 + 208*d**2/5.
-2*d**2*(d - 26)*(d + 2)**2/5
Factor -3*p**4/5 - 171*p**3/5 - 1728*p**2/5 - 972*p.
-3*p*(p + 6)**2*(p + 45)/5
Solve -o**5 + 38*o**4 - 541*o**3 + 3420*o**2 - 8100*o = 0 for o.
0, 9, 10
Factor 2*w**4/3 - 50*w**3 - 318*w**2 - 486*w.
2*w*(w - 81)*(w + 3)**2/3
Let 2*j**4/13 - 2*j**3 + 114*j**2/13 - 198*j/13 + 108/13 = 0. What is j?
1, 3, 6
Solve -5*w**4 + 455*w**3 = 0.
0, 91
Let -4*g**4 - 12*g**3 + 96*g**2 + 320*g = 0. What is g?
-4, 0, 5
Suppose -3*w**2 + 30*w - 63 = 0. Calculate w.
3, 7
Factor -4*s**4 + 4*s**3 + 12*s**2 - 4*s - 8.
-4*(s - 2)*(s - 1)*(s + 1)**2
Determine q, given that -4*q**2 + 16*q = 0.
0, 4
Factor -2*d**3/5 + 4*d**2 - 66*d/5 + 72/5.
-2*(d - 4)*(d - 3)**2/5
Let 68*h**4/5 - 56*h**3 + 372*h**2/5 - 176*h/5 + 16/5 = 0. What is h?
2/17, 1, 2
Factor 4*l**3 - 4*l**2 - 8*l.
4*l*(l - 2)*(l + 1)
Factor -r**3 + 25*r**2 - 167*r + 143.
-(r - 13)*(r - 11)*(r - 1)
Determine d so that -d**4/2 + 27*d**2/2 - 27*d = 0.
-6, 0, 3
Let -8*a**3 - 49*a**2 + 3*a + 54 = 0. What is a?
-6, -9/8, 1
Factor 3*d**2/4 + 33*d/4 + 27/2.
3*(d + 2)*(d + 9)/4
Factor 2*i**2 + 68*i + 186.
2*(i + 3)*(i + 31)
Solve -q**5 - 13*q**4 - 55*q**3 - 103*q**2 - 88*q - 28 = 0.
-7, -2, -1
Factor -3*a**5 - 9*a**4 + 12*a**2.
-3*a**2*(a - 1)*(a + 2)**2
Suppose w**3/4 - w**2/4 - w/2 = 0. Calculate w.
-1, 0, 2
Find x, given that 3*x**3 + 19*x**2 + 28*x = 0.
-4, -7/3, 0
Factor i**3/4 + 11*i**2/4 + 19*i/4 + 9/4.
(i + 1)**2*(i + 9)/4
Factor -3*x**3 + 717*x**2 + 2178*x.
-3*x*(x - 242)*(x + 3)
Factor h**5/4 - h**4/2.
h**4*(h - 2)/4
Factor c**2/5 - 8*c/5 + 7/5.
(c - 7)*(c - 1)/5
Determine v so that -v**3/5 + 103*v**2/5 - 302*v/5 + 40 = 0.
1, 2, 100
Let -5*i**5 - 45*i**4 - 75*i**3 - 35*i**2 = 0. Calculate i.
-7, -1, 0
Determine f so that -5*f**4 - 80*f**3 - 345*f**2 + 50*f + 2000 = 0.
-8, -5, 2
Factor -v**3 + 7*v**2/5 + v/5 - 3/5.
-(v - 1)**2*(5*v + 3)/5
Suppose -993*u**2 - 9927*u/5 + 6/5 = 0. Calculate u.
-2, 1/1655
Factor 4*q**2 - 9184*q + 5271616.
4*(q - 1148)**2
Find t, given that 3*t**4/8 + 15*t**3/8 - 15*t**2/4 - 15*t/2 + 9 = 0.
-6, -2, 1, 2
Factor -4*t**2 + 592*t/5 + 48.
-4*(t - 30)*(5*t + 2)/5
Factor -5*f**2 + 18530*f + 18535.
-5*(f - 3707)*(f + 1)
Let -3*s**2/7 + 6*s/7 + 9/7 = 0. What is s?
-1, 3
Find u such that -4*u**4/5 + 4*u**3/5 + 16*u**2/5 - 16*u/5 = 0.
-2, 0, 1, 2
Determine r so that -2*r**2/7 + 62*r/7 + 64/7 = 0.
-1, 32
Factor m**4/11 + 71*m**3/11 + 1222*m**2/11 - 1440*m/11 - 2592/11.
(m - 2)*(m + 1)*(m + 36)**2/11
Factor 2*w**3/15 + 2*w**2/5 + 4*w/15.
2*w*(w + 1)*(w + 2)/15
Find j such that -12*j**4 + 2692*j**3 - 145944*j**2 - 566352*j - 311904 = 0.
-3, -2/3, 114
What is z in -6*z**3/5 - 26*z**2/5 + 4*z = 0?
-5, 0, 2/3
Factor -10*u**2/13 - 28*u - 1570/13.
-2*(u + 5)*(5*u + 157)/13
Factor -5*k**4 - 135*k**3 - 250*k**2.
-5*k**2*(k + 2)*(k + 25)
Factor -5*j**3 - 295*j**2 + 1240*j - 1260.
-5*(j - 2)**2*(j + 63)
Let -2*d**3 + 6*d**2 + 36*d - 80 = 0. What is d?
-4, 2, 5
Let 3*i**3/2 + 15*i**2 - 69*i/2 + 18 = 0. What is i?
-12, 1
Factor 14*j**2 - 78*j + 40.
2*(j - 5)*(7*j - 4)
Find u, given that 2*u**2/21 + 34*u/21 + 40/7 = 0.
-12, -5
Factor -4*k**5/7 - 30*k**4/7 - 80*k**3/7 - 80*k**2/7 + 32/7.
-2*(k + 2)**4*(2*k - 1)/7
Find x, given that -5*x**4/4 - 5*x**3 + 365*x**2/2 - 345*x + 675/4 = 0.
-15, 1, 9
Factor -j**2 - 14*j + 51.
-(j - 3)*(j + 17)
Factor -15*y**2 - 3261*y/7 - 186/7.
-3*(y + 31)*(35*y + 2)/7
Factor v**4/2 + v**3 - 3*v**2/2 - 2*v + 2.
(v - 1)**2*(v + 2)**2/2
Determine v so that -3*v**5/5 - 6*v**4/5 + 9*v**3/5 = 0.
-3, 0, 1
Factor 5*u**5 + 70*u**4 + 265*u**3 + 200*u**2.
5*u**2*(u + 1)*(u + 5)*(u + 8)
Factor 4*w**2 - 308*w + 304.
4*(w - 76)*(w - 1)
Find y, given that -y**4 - 6*y**3 - 8*y**2 = 0.
-4, -2, 0
Determine s, given that 2*s**3/15 + 34*s**2/3 - 1082*s/15 + 182/3 = 0.
-91, 1, 5
Factor 2*p**2 + 108*p + 208.
2*(p + 2)*(p + 52)
What is s in s**2/5 - 53*s - 266/5 = 0?
-1, 266
Factor 6*y**2 - 38*y/5 + 8/5.
2*(y - 1)*(15*y - 4)/5
Factor 2*y**3/5 - 2*y**2/5 - 2*y - 6/5.
2*(y - 3)*(y + 1)**2/5
Suppose -3*h**4 - 48*h**3 - 219*h**2 - 270*h = 0. Calculate h.
-9, -5, -2, 0
Factor -3*p**2 - 9*p + 12.
-3*(p - 1)*(p + 4)
Factor 2*y**4 + 40*y**3 - 474*y**2 + 1360*y - 928.
2*(y - 4)**2*(y - 1)*(y + 29)
Solve -4*q**4/3 - 260*q**3 - 13056*q**2 - 36864*q = 0 for q.
-96, -3, 0
Factor 3*s**3/8 - 333*s**2/8 + 945*s - 12201/2.
3*(s - 83)*(s - 14)**2/8
Suppose -5*d**2 + 4350*d - 946125 = 0. What is d?
435
Factor n**4 + 4*n**3 - 12*n**2 - 64*n - 64.
(n - 4)*(n + 2)**2*(n + 4)
Factor -2*h**5/11 - 28*h**4/11 - 122*h**3/11 - 168*h**2/11 - 72*h/11.
-2*h*(h + 1)**2*(h + 6)**2/11
Factor m**3/7 + 8*m**2/7 + 13*m/7 + 6/7.
(m + 1)**2*(m + 6)/7
Determine n so that 15*n**5/4 + 80*n**4 - 10*n**3 - 6120*n**2 - 7700*n + 7840 = 0.
-14, -2, 2/3, 8
Suppose -2*w**4 + 420*w**3 - 832*w**2 = 0. Calculate w.
0, 2, 208
Suppose -2*j**4/11 + 102*j**3/11 + 320*j**2/11 + 216*j/11 = 0. What is j?
-2, -1, 0, 54
Find t such that 12*t**5 + 21368*t**4 + 9519412*t**3 + 6286968*t**2 - 22164560*t + 6336800 = 0.
-890, -2, 1/3, 1
Let 2*g**2/5 - 1064*g/5 - 2136/5 = 0. Calculate g.
-2, 534
Find j, given that -j**4/5 - 48*j**3/5 + 262*j**2/5 - 168*j/5 - 477/5 = 0.
-53, -1, 3
What is s in 3*s**3 + 6*s**2 - 444*s + 840 = 0?
-14, 2, 10
Factor -6*j**3 + 69*j**2 + 204*j + 84.
-3*(j - 14)*(j + 2)*(2*j + 1)
Solve -m**2/3 + 184*m/3 - 8464/3 = 0 for m.
92
Factor 2*i**3/3 - 10*i**2 + 36*i - 80/3.
2*(i - 10)*(i - 4)*(i - 1)/3
Find w such that -2*w**2/13 + 72*w/13 - 630/13 = 0.
15, 21
Factor 3*x**3/2 + 783*x**2/2 + 1548*x + 1542.
3*(x + 2)**2*(x + 257)/2
Find u such that -10*u**5/11 + 36*u**4/11 - 34*u**3/11 + 8*u/11 = 0.
-2/5, 0, 1, 2
Let 4*k**4/7 - 100*k**3/7 - 468*k**2/7 + 100*k/7 + 464/7 = 0. What is k?
-4, -1, 1, 29
Solve 2*h**4/21 + 8*h**3/21 - 26*h**2/21 - 8*h/21 + 8/7 = 0 for h.
-6, -1, 1, 2
Let -i**3/5 + 9*i**2/5 + 64*i/5 + 84/5 = 0. Calculate i.
-3, -2, 14
Determine g so that -4*g**3 - 204*g**2 - 2460*g + 2668 = 0.
-29, -23, 1
Suppose -3*m**5 + 219*m**4 - 3402*m**3 - 22086*m**2 - 15795*m + 41067 = 0. Calculate m.
-3, 1, 39
Solve 10*h**5/3 - 7*h**4 + 4*h**3 - h**2/3 = 0.
0, 1/10, 1
Determine l, given that -3*l**5/7 + 30*l**4/7 + 6*l**3 - 96*l**2/7 - 39*l/7 + 66/7 = 0.
-2, -1, 1, 11
Factor x**2/5 + 2*x/5.
x*(x + 2)/5
Factor 5*t**4 + 160*t**3 + 150*t**2 - 160*t - 155.
5*(t - 1)*(t + 1)**2*(t + 31)
Determine s, given that 2*s**5 - 66*s**4 - 212*s**3 - 144*s**2 = 0.
-2, -1, 0, 36
Find x, given that 2*x**4/5 + 792*x**3/5 + 78408*x**2/5 = 0.
-198, 0
Solve r**4/3 - 70*r**3/3 + 408*r**2 + 70*r/3 - 1225/3 = 0 for r.
-1, 1, 35
Factor 2*o**3/13 - 24*o**2/13 + 54*o/13.
2*o*(o - 9)*(o - 3)/13
Solve -3*r**5 - 39*r**4 + 24*r**3 + 1812*r**2 + 5952*r + 5376 = 0 for r.
-8, -2, 7
Factor -3*y**4 + 12*y**3 + 2016*y**2.
-3*y**2*(y - 28)*(y + 24)
Solve -6*r**5 - 56*r**4 - 158*r**3 - 84*r**2 + 144*r = 0.
-4, -3, 0, 2/3
Find o such that -5*o**2 + 550*o - 1080 = 0.
2, 108
Let -v**4 - 