 175*f.
-f*(f - 7)*(f - 1)*(f + 5)**2
Determine p so that 2*p**2/17 - 1818*p/17 - 1820/17 = 0.
-1, 910
Factor -3*d**3 + 243*d**2 - 5040*d + 4800.
-3*(d - 40)**2*(d - 1)
Let -x**2/3 + 65*x/3 - 244/3 = 0. What is x?
4, 61
Factor w**2 + 14*w - 32.
(w - 2)*(w + 16)
Find n such that -3*n**2 - 9*n + 54 = 0.
-6, 3
Factor 3*l**4/4 - 51*l**3/2 + 195*l**2/4 - 24*l.
3*l*(l - 32)*(l - 1)**2/4
Factor -4*b**2 + 12*b + 1216.
-4*(b - 19)*(b + 16)
Factor 20*n**3 - 88*n**2 + 116*n - 48.
4*(n - 1)**2*(5*n - 12)
Solve 3*k**5/5 - 63*k**4/5 - 24*k**3/5 + 504*k**2/5 + 48*k/5 - 1008/5 = 0.
-2, 2, 21
Factor 2*t**4 + 128*t**3 + 2170*t**2 + 3844*t.
2*t*(t + 2)*(t + 31)**2
Factor x**2/2 - 3211*x + 10310521/2.
(x - 3211)**2/2
Factor 5*x**3 - 1225*x**2 + 75640*x - 74420.
5*(x - 122)**2*(x - 1)
Solve 5*s**5 - 60*s**3 - 80*s**2 = 0 for s.
-2, 0, 4
Let 2*y**5/7 - 1112*y**4/7 + 205346*y**3/7 - 12455676*y**2/7 - 25531848*y/7 - 12869712/7 = 0. What is y?
-1, 186
Factor 3*n**4 + 48*n**3 + 42*n**2 - 48*n - 45.
3*(n - 1)*(n + 1)**2*(n + 15)
Factor -2*a**2/13 - 94*a/13 - 180/13.
-2*(a + 2)*(a + 45)/13
Solve -k**4/3 + 13*k**2/3 + 4*k = 0 for k.
-3, -1, 0, 4
Find r such that -5*r**2 - 150*r - 1000 = 0.
-20, -10
Determine l, given that 3*l**4/2 + 3*l**3/2 - 27*l**2/2 - 27*l/2 = 0.
-3, -1, 0, 3
Let 4*k**2/7 + 536*k/7 + 3072/7 = 0. What is k?
-128, -6
Factor k**3/3 + 11*k**2/3 - 109*k/3 - 119/3.
(k - 7)*(k + 1)*(k + 17)/3
Find y, given that 5*y**4 - 15*y**3 = 0.
0, 3
Factor -2*y**4 + 96*y**3 - 682*y**2 + 1716*y - 1440.
-2*(y - 40)*(y - 3)**2*(y - 2)
Solve 4*z**4/3 + 116*z**3/3 + 360*z**2 + 2800*z/3 - 4000/3 = 0 for z.
-10, 1
Factor 3*m**2/5 + 3*m/5 - 1386/5.
3*(m - 21)*(m + 22)/5
Factor 4*o**3 + 132*o**2 + 1152*o + 1024.
4*(o + 1)*(o + 16)**2
Factor -7*s**3 - 124*s**2 - 356*s + 112.
-(s + 4)*(s + 14)*(7*s - 2)
Factor 7*h**4 - 38*h**3 - 21*h**2 + 128*h - 76.
(h - 1)**2*(h + 2)*(7*h - 38)
Solve -2*m**3/5 - 2*m**2/3 + 2*m/5 + 2/3 = 0 for m.
-5/3, -1, 1
Factor r**3 - 2*r**2.
r**2*(r - 2)
Suppose 3*h**5/7 + 9*h**4/7 - 3*h**3/7 - 33*h**2/7 - 36*h/7 - 12/7 = 0. What is h?
-2, -1, 2
Factor 2*y**4/19 + 12*y**3/19 - 26*y**2/19 - 84*y/19.
2*y*(y - 3)*(y + 2)*(y + 7)/19
Let 20*u**3/3 - 195*u**2 + 235*u - 140/3 = 0. What is u?
1/4, 1, 28
Find l, given that -3*l**2 - 27*l + 30 = 0.
-10, 1
Solve -15*j**3 + 40*j**2 + 100*j - 80 = 0 for j.
-2, 2/3, 4
Let -2*h**4/5 + 8*h**3/5 - 8*h**2/5 = 0. Calculate h.
0, 2
Factor -5*g**4 - 440*g**3 + 5*g**2 + 440*g.
-5*g*(g - 1)*(g + 1)*(g + 88)
Find y such that -y**2/4 + 571*y/4 + 1731/2 = 0.
-6, 577
What is j in 5*j**2 + 395*j + 1140 = 0?
-76, -3
Suppose -9*i**4 - 24*i**3 + 465*i**2 - 492*i - 540 = 0. Calculate i.
-9, -2/3, 2, 5
Let -9*m**2 - 277*m - 268 = 0. Calculate m.
-268/9, -1
Let 8*u**3 + 932*u**2/3 - 372*u + 160/3 = 0. Calculate u.
-40, 1/6, 1
What is g in -3*g**5/5 + 3*g**4 + 57*g**3/5 - 87*g**2/5 - 126*g/5 = 0?
-3, -1, 0, 2, 7
Determine t so that -1681*t**2 + 1476*t - 324 = 0.
18/41
Suppose 5*j**3 - 290*j**2 - 1880*j - 2560 = 0. Calculate j.
-4, -2, 64
Factor 4*o**4 - 648*o**2 - 3584*o - 2940.
4*(o - 15)*(o + 1)*(o + 7)**2
Factor -15*w**3 + 3175*w**2 + 1070*w - 2120.
-5*(w - 212)*(w + 1)*(3*w - 2)
Determine k so that -2*k**4/17 + 4*k**3/17 + 6*k**2/17 - 8*k/17 - 8/17 = 0.
-1, 2
Let 3*q**4 - 312*q**3 + 7794*q**2 + 16536*q + 8427 = 0. What is q?
-1, 53
Factor -3*f**5 + 30*f**4 + 69*f**3 + 36*f**2.
-3*f**2*(f - 12)*(f + 1)**2
Let 4*q**3 + 64*q**2 - 68*q = 0. What is q?
-17, 0, 1
Let 27*t**5 + 45*t**4 - 141*t**3 - 105*t**2 - 18*t = 0. What is t?
-3, -1/3, 0, 2
Find g such that g**2 + 180*g + 8100 = 0.
-90
Determine k so that -2*k**3 + 114*k**2/7 + 446*k/7 - 66/7 = 0.
-3, 1/7, 11
Factor 5*t**3 - 405*t**2 + 1555*t - 1155.
5*(t - 77)*(t - 3)*(t - 1)
Suppose -3*q**4 - 7*q**3 + q**2 + 7*q + 2 = 0. What is q?
-2, -1, -1/3, 1
What is u in u**4/6 - 4*u**3 + 33*u**2 - 108*u + 243/2 = 0?
3, 9
Factor 1092025*z**2/3 - 2090*z + 3.
(1045*z - 3)**2/3
Factor 5*c**5 - 40*c**4 + 115*c**3 - 140*c**2 + 60*c.
5*c*(c - 3)*(c - 2)**2*(c - 1)
Suppose 9*n**3 - 6*n**2 - 3*n = 0. What is n?
-1/3, 0, 1
Factor p**2/5 + 3*p/5.
p*(p + 3)/5
Factor -2*b**2/3 - 196*b - 586/3.
-2*(b + 1)*(b + 293)/3
Determine h so that -h**4/5 + 41*h**3/5 + 43*h**2/5 - 41*h/5 - 42/5 = 0.
-1, 1, 42
Solve s**4/4 - 3*s**3/2 - s**2/4 + 3*s/2 = 0 for s.
-1, 0, 1, 6
Find w, given that -3*w**4/5 + 28*w**3/5 - 33*w**2/5 + 8*w/5 = 0.
0, 1/3, 1, 8
Let -x**4 - 6*x**3 + 115*x**2 + 612*x - 1620 = 0. What is x?
-9, 2, 10
Determine q, given that q**4/7 - 10*q**3/7 - 16*q**2/7 + 58*q/7 - 33/7 = 0.
-3, 1, 11
Let m**2 - 32*m + 256 = 0. What is m?
16
Find w, given that -2*w**2 + 86*w + 1888 = 0.
-16, 59
Let -2*g**4/11 - 10*g**3/11 - 2*g**2/11 + 42*g/11 + 36/11 = 0. What is g?
-3, -1, 2
Solve -4*v**4/3 + 20*v**3/3 + 72*v**2 + 496*v/3 + 352/3 = 0 for v.
-2, 11
Solve 19*m**5/3 + 131*m**4/3 + 100*m**3/3 - 4*m**2 = 0 for m.
-6, -1, 0, 2/19
Find m such that 4*m**4/3 - 8*m**2/3 + 4/3 = 0.
-1, 1
Solve -3*s**5/8 + 3*s**4/8 + 15*s**3/8 - 3*s**2/8 - 3*s - 3/2 = 0 for s.
-1, 2
Factor 5*l**2/4 + 25*l/4 + 15/2.
5*(l + 2)*(l + 3)/4
Factor n**3/9 + 64*n**2/9 - 140*n/3.
n*(n - 6)*(n + 70)/9
Factor 3*c**3/2 + 12*c**2 + 21*c/2.
3*c*(c + 1)*(c + 7)/2
Factor r**3/2 - 559*r**2/2 + 1115*r/2 - 557/2.
(r - 557)*(r - 1)**2/2
Let 2*o**4/9 - 8*o**3 + 22*o**2 + 8*o/9 - 88/3 = 0. What is o?
-1, 2, 33
Find r such that r**3/4 + 279*r**2/2 + 19320*r - 39200 = 0.
-280, 2
Determine p, given that -2*p**3 - 20*p**2 - 56*p - 48 = 0.
-6, -2
Factor -j**3/7 - 16*j**2 + 591*j/7 + 702/7.
-(j - 6)*(j + 1)*(j + 117)/7
What is l in -14*l**5/5 - 100*l**4 - 2012*l**3/5 + 224*l**2 + 2026*l/5 - 124 = 0?
-31, -5, -1, 2/7, 1
Determine o, given that -2*o**4 + 18*o**3 - 30*o**2 - 50*o = 0.
-1, 0, 5
Factor -28*s**3 - 1912*s**2 - 32912*s - 9248.
-4*(s + 34)**2*(7*s + 2)
Determine t, given that -5*t**5/2 + 23*t**4/2 + 115*t**3/2 + 157*t**2/2 + 43*t + 8 = 0.
-1, -2/5, 8
Factor -2*j**2/7 + 408*j - 145656.
-2*(j - 714)**2/7
Solve -3*u**5 + 51*u**4/4 - 12*u**3 + 9*u**2/4 = 0 for u.
0, 1/4, 1, 3
Factor y**5/4 + 5*y**4/4 - 3*y**3/4 - 17*y**2/4 - 5*y/2.
y*(y - 2)*(y + 1)**2*(y + 5)/4
Let -4*s**4 + 2732*s**3 - 8172*s**2 + 8164*s - 2720 = 0. What is s?
1, 680
Factor -2*q**3/3 - 118*q**2/3 - 76*q.
-2*q*(q + 2)*(q + 57)/3
Factor -3*l**2/2 + 423*l/2 - 210.
-3*(l - 140)*(l - 1)/2
Determine g so that -3*g**3 + 120*g**2 - 1071*g - 2646 = 0.
-2, 21
Factor m**3/3 + 14*m**2/3 + 16*m.
m*(m + 6)*(m + 8)/3
Solve -12*s**5 + 31*s**4 - 19*s**3 - 9*s**2 + 11*s - 2 = 0.
-2/3, 1/4, 1
Factor -2*f**3/9 - 10*f**2/9.
-2*f**2*(f + 5)/9
Factor 2*c**3/9 - 142*c**2/9 + 896*c/9.
2*c*(c - 64)*(c - 7)/9
Factor -3*y**3/4 - 45*y**2/4 + 3*y/4 + 45/4.
-3*(y - 1)*(y + 1)*(y + 15)/4
Suppose w**5/3 - 56*w**4 + 55*w**3 + 334*w**2/3 = 0. Calculate w.
-1, 0, 2, 167
Factor -4*j**2/5 + 308*j/5 - 1168/5.
-4*(j - 73)*(j - 4)/5
Find z such that z**2 - 3*z + 2 = 0.
1, 2
Let 5*z**5 + 25*z**4 - 1075*z**3 - 3325*z**2 - 3350*z - 1120 = 0. Calculate z.
-16, -1, 14
Suppose -4*w**4 + 416*w**3/3 + 1796*w**2/3 + 2296*w/3 + 928/3 = 0. What is w?
-2, -1, 116/3
Factor 2*w**2/5 - 244*w/5 - 246/5.
2*(w - 123)*(w + 1)/5
Factor 3*a**5/5 - 831*a**4/5 + 58782*a**3/5 - 34278*a**2 + 169743*a/5 - 56307/5.
3*(a - 137)**2*(a - 1)**3/5
Determine r so that 2*r**4 + 214*r**3 + 414*r**2 - 630*r = 0.
-105, -3, 0, 1
Factor 4*a**4 - 24*a**2 - 32*a - 12.
4*(a - 3)*(a + 1)**3
Factor -4*k**4/9 + 116*k**3 - 1020*k**2 + 3036*k - 3024.
-4*(k - 252)*(k - 3)**3/9
Factor -m**4 - 330*m**3 + 663*m**2 - 332*m.
-m*(m - 1)**2*(m + 332)
Solve 3*p**2/4 - 459*p/4 - 231/2 = 0.
-1, 154
Factor 9245*u**3 - 16985*u**2 + 9360*u - 1620.
5*(u - 1)*(43*u - 18)**2
Factor 2*h**2/3 + 116*h/3 - 80.
2*(h - 2)*(h + 60)/3
Suppose 5*r**2/6 - 35*r + 205/6 = 0. What is r?
1, 41
Determine r so that r**5 - 51*r**4 - 7*r**3 + 363*r**2 - 306*r = 0.
-3, 0, 1, 2, 51
Find j, given that -j**3/5 - 2*j**2/5 + 15*j + 216/5 = 0.
-8, -3, 9
Suppose -s**2/4 - 7*s/4 - 3 = 0. What is s?
-4, -3
Factor f**3/4 - f**2/4 - f/4 + 1/4.
(f - 1)**2*(f + 1)/4
Factor 2*k**2 + 392*k + 19208.
2*(k + 98)**2
Solve -a**3/3 + a**2/6 + a/3 - 1/6 = 0 for a.
-1, 1/2, 1
Determine x, given that 3*x**4 - 12*x**3 + 9*x**2 + 12*x - 12 = 0.
-1, 1, 2
Factor 2*t**2 - 28*t - 30.
2*(t - 15)*(t + 1)
Let 3*f**2/5 - 27*f/5 - 6 = 0. Calculate f.
-1,