-1, 5
Factor -9*c**4/2 + 105*c**3 - 134*c**2 + 44*c.
-c*(c - 22)*(3*c - 2)**2/2
Determine s, given that -5*s**2 + 120*s + 260 = 0.
-2, 26
Factor -2*j**2/7 - 50*j/7 - 200/7.
-2*(j + 5)*(j + 20)/7
Find m, given that 4*m**2 - 172*m + 168 = 0.
1, 42
Factor r**3 + 18*r**2 + 96*r + 128.
(r + 2)*(r + 8)**2
Determine s, given that 3*s**2 - 30*s - 72 = 0.
-2, 12
Let 3*k**3 - 15*k**2/2 - 102*k + 105/2 = 0. Calculate k.
-5, 1/2, 7
Solve 5*u**2 + 440*u + 1680 = 0.
-84, -4
Factor o**4 - o**3 - 5*o**2 - 3*o.
o*(o - 3)*(o + 1)**2
Let -a**4 + 9*a**3 + 22*a**2 = 0. What is a?
-2, 0, 11
Factor 1156*v**3 - 4488*v**2 - 540*v - 16.
4*(v - 4)*(17*v + 1)**2
Let 4*y**2 - 44*y + 72 = 0. Calculate y.
2, 9
Determine k so that 2*k**3/7 - 190*k**2/7 - 386*k/7 - 194/7 = 0.
-1, 97
Solve -78*d**3/5 + 612*d**2/5 - 1074*d/5 - 36 = 0.
-2/13, 3, 5
Let 3*i**5/7 - 243*i**4/7 + 5877*i**3/7 - 5451*i**2 + 7560*i + 97200/7 = 0. What is i?
-1, 5, 36
Factor i**4 - 754*i**3 + 189000*i**2 - 15621984*i - 32006016.
(i - 252)**3*(i + 2)
Factor 2*b**2/5 - 68*b/5.
2*b*(b - 34)/5
Factor -v**3/3 + 40*v**2 - 1600*v + 64000/3.
-(v - 40)**3/3
Let 2*c**5 + 13*c**4/2 - 5*c**3/4 - 35*c**2/4 - 3*c/4 + 9/4 = 0. What is c?
-3, -1, -3/4, 1/2, 1
Determine c, given that -c**5/2 + 23*c**4 - 649*c**3/2 + 1380*c**2 - 1800*c = 0.
0, 3, 20
Let 5*j**4 - 120*j**3 + 535*j**2 + 120*j - 540 = 0. What is j?
-1, 1, 6, 18
Let 2*g**3/19 - 40*g**2/19 + 186*g/19 - 252/19 = 0. What is g?
3, 14
Suppose -34*m**5/19 - 106*m**4/19 + 124*m**3/19 + 16*m**2/19 = 0. What is m?
-4, -2/17, 0, 1
Factor 25*x**3/3 + 1445*x**2/3 + 1144*x/3 + 76.
(x + 57)*(5*x + 2)**2/3
Factor 4*i**4/7 + 4*i**3/7 - 128*i**2/7 - 240*i/7.
4*i*(i - 6)*(i + 2)*(i + 5)/7
Factor 4*b**4 - 68*b**3 + 420*b**2 - 1100*b + 1000.
4*(b - 5)**3*(b - 2)
Suppose -y**5/7 - 149*y**4/7 + y**3/7 + 149*y**2/7 = 0. What is y?
-149, -1, 0, 1
What is m in m**3 - 78*m**2 + 567*m - 490 = 0?
1, 7, 70
Factor -2*t**3/7 - 6*t**2/7 + 48*t/7 - 8.
-2*(t - 2)**2*(t + 7)/7
Let -c**5 - 305*c**4 - 22483*c**3 + 117649*c**2 - 190960*c + 96100 = 0. Calculate c.
-155, 1, 2
Factor -3*j**3 + 39*j + 36.
-3*(j - 4)*(j + 1)*(j + 3)
Determine n so that 5*n**4 - 5800*n**3 + 1687790*n**2 - 3358200*n + 1676205 = 0.
1, 579
Factor -4*h**3 - 1368*h**2 - 116964*h.
-4*h*(h + 171)**2
Determine h so that -3*h**3/4 - 66*h**2 + 537*h/4 - 135/2 = 0.
-90, 1
Factor 2*m**4 + 316*m**3 + 12792*m**2 + 24336*m.
2*m*(m + 2)*(m + 78)**2
Determine c so that -8*c**5 - 532*c**4/3 + 1088*c**3/3 + 724*c**2/3 - 1064*c/3 - 64 = 0.
-24, -1, -1/6, 1, 2
Determine k so that -k**2/3 + 184*k/3 - 181 = 0.
3, 181
Factor -735*i**4/8 - 4767*i**3/4 - 1317*i**2/2 - 93*i.
-3*i*(5*i + 62)*(7*i + 2)**2/8
Let 2*m**3/5 + 586*m**2/5 + 8526*m - 43218/5 = 0. Calculate m.
-147, 1
Factor -27*r**3/4 + 87*r**2/4 + 63*r - 15.
-3*(r - 5)*(r + 2)*(9*r - 2)/4
Factor 5*i**4 + 85*i**3 - 400*i**2 + 420*i.
5*i*(i - 2)**2*(i + 21)
Factor -2*m**5/15 + 98*m**4/15 - 38*m**3/3 + 94*m**2/15.
-2*m**2*(m - 47)*(m - 1)**2/15
Factor -3*a**5/2 + 15*a**4/2 + 81*a**3 + 186*a**2 + 132*a.
-3*a*(a - 11)*(a + 2)**3/2
Factor 88200*r**2 + 840*r + 2.
2*(210*r + 1)**2
Find x, given that x**3 - 93*x**2/5 + 202*x/5 + 96/5 = 0.
-2/5, 3, 16
Factor 7*j**4/4 + 131*j**3/4 - 89*j**2/2 + 10*j.
j*(j - 1)*(j + 20)*(7*j - 2)/4
Find m such that 4*m**4 - 280*m**3 + 2692*m**2 - 5520*m - 8496 = 0.
-1, 6, 59
Factor -3*s**4 - 51*s**3 + 111*s**2 - 57*s.
-3*s*(s - 1)**2*(s + 19)
Let -u**2/5 - 119*u/5 - 678/5 = 0. Calculate u.
-113, -6
Factor x**4/4 + 35*x**3/4 - 38*x**2 + 39*x.
x*(x - 2)**2*(x + 39)/4
Factor 5*j**4 - 2280*j**3 - 2290*j**2 + 2280*j + 2285.
5*(j - 457)*(j - 1)*(j + 1)**2
Factor 25*k**4 + 120*k**3 - 41*k**2 - 84*k - 20.
(k - 1)*(k + 5)*(5*k + 2)**2
Solve -2*i**3 - 238*i**2/3 - 200*i - 296/3 = 0.
-37, -2, -2/3
Factor -3*q**2/7 + 87*q/7 + 1170/7.
-3*(q - 39)*(q + 10)/7
Factor w**3/5 + 393*w**2/5 + 51483*w/5 + 2248091/5.
(w + 131)**3/5
Determine h, given that 2*h**2/3 - 1048*h = 0.
0, 1572
Factor b**3 - 46*b**2 + 89*b - 44.
(b - 44)*(b - 1)**2
Factor -2*j**4/3 + 8*j**3 - 36*j**2 + 72*j - 54.
-2*(j - 3)**4/3
Factor -20*o**4 - 32*o**3 + 16*o**2.
-4*o**2*(o + 2)*(5*o - 2)
Factor d**5/7 + d**4 + 13*d**3/7 - 3*d**2/7 - 18*d/7.
d*(d - 1)*(d + 2)*(d + 3)**2/7
Determine i, given that -3*i**3/4 - 501*i**2/4 - 21165*i/4 - 20667/4 = 0.
-83, -1
Suppose 2*y**2/11 - 586*y/11 = 0. What is y?
0, 293
Find g such that -2*g**3 - 40*g**2 - 250*g - 500 = 0.
-10, -5
Determine a, given that -2*a**4/11 + 2*a**3/11 + 2*a**2/11 - 2*a/11 = 0.
-1, 0, 1
Factor 5*o**2 - 65*o - 70.
5*(o - 14)*(o + 1)
Factor -3*f**4/7 + 6*f**3/7 + 3*f**2 + 12*f/7.
-3*f*(f - 4)*(f + 1)**2/7
Factor 4*x**3/5 - 19*x**2/5 - x.
x*(x - 5)*(4*x + 1)/5
Factor -4*c**3 + 448*c**2 - 1316*c + 872.
-4*(c - 109)*(c - 2)*(c - 1)
Suppose 2*v**4/19 + 800*v**3/19 + 80796*v**2/19 + 159200*v/19 + 79202/19 = 0. What is v?
-199, -1
Find s, given that s**5 - 8*s**4 + 19*s**3 - 8*s**2 - 20*s + 16 = 0.
-1, 1, 2, 4
Suppose -3*s**2 - 8214*s - 5622483 = 0. Calculate s.
-1369
Determine c, given that -c**5/5 + c**4/5 + 3*c**3/5 - c**2 + 2*c/5 = 0.
-2, 0, 1
Find t such that 2*t**5/9 - 10*t**4/3 + 80*t**3/9 + 160*t**2/3 - 1792*t/9 = 0.
-4, 0, 4, 7, 8
Suppose -t**3/4 - 26*t**2 + 107*t/4 + 105/2 = 0. Calculate t.
-105, -1, 2
Find w, given that -4*w**2/7 - 516*w/7 - 512/7 = 0.
-128, -1
Factor -m**2/4 - 511*m/4 - 509/2.
-(m + 2)*(m + 509)/4
Determine n so that -5*n**3 - 175*n**2 + 370*n = 0.
-37, 0, 2
Determine h so that h**4 - 94*h**3 + 276*h**2 - 274*h + 91 = 0.
1, 91
Factor -12*y**3 - 1328*y**2 + 10356*y - 3304.
-4*(y - 7)*(y + 118)*(3*y - 1)
Factor -l**5 - 18*l**4 - 125*l**3 - 416*l**2 - 660*l - 400.
-(l + 2)**2*(l + 4)*(l + 5)**2
Suppose 1594323*k**5 + 649539*k**4 - 734832*k**3 + 189216*k**2 - 19968*k + 768 = 0. What is k?
-1, 4/27
What is p in -4*p**3/5 - 10212*p**2/5 + 20436*p/5 - 2044 = 0?
-2555, 1
Find z, given that -2*z**5/7 + 148*z**4/7 + 326*z**3/7 - 1648*z**2/7 - 1896*z/7 + 5472/7 = 0.
-3, 2, 76
Solve -3*c**3 + 15*c**2 + 66*c - 168 = 0.
-4, 2, 7
Factor h**3 + 65*h**2 - h - 65.
(h - 1)*(h + 1)*(h + 65)
Factor 4*u**3 - 64*u**2 + 308*u - 392.
4*(u - 7)**2*(u - 2)
Find i such that 5*i**4 - 45*i**3 = 0.
0, 9
Factor -2*j**3/5 - 44*j**2/5 + 218*j/5 + 52.
-2*(j - 5)*(j + 1)*(j + 26)/5
Find k, given that -5*k**2 - 305*k + 310 = 0.
-62, 1
What is m in -m**2/3 + 563*m/3 + 1130/3 = 0?
-2, 565
Find w such that -w**4/5 + 33*w**3/5 - 92*w**2/5 + 12*w = 0.
0, 1, 2, 30
Find b such that b**3/7 + 15*b**2/7 + 27*b/7 - 243/7 = 0.
-9, 3
Factor 2*v**2 + 1702*v - 1704.
2*(v - 1)*(v + 852)
Factor -2*x**2 - 2402*x + 2404.
-2*(x - 1)*(x + 1202)
Let 2*w**2/5 - 56*w/5 - 24 = 0. What is w?
-2, 30
Factor -3*s**2 - 117*s.
-3*s*(s + 39)
Factor -2*l**2 - 76*l - 74.
-2*(l + 1)*(l + 37)
Let -4*g**2/7 - 2248*g/7 - 315844/7 = 0. Calculate g.
-281
Factor 2*u**3/3 - 104*u**2/3 + 482*u/3 - 188.
2*(u - 47)*(u - 3)*(u - 2)/3
Factor -2*b**2/15 - 236*b/5 - 706/15.
-2*(b + 1)*(b + 353)/15
Factor 4*p**3/5 - 17*p**2 - 67*p/5 + 22/5.
(p - 22)*(p + 1)*(4*p - 1)/5
Factor 3*j**5 - 36*j**4 - 39*j**3.
3*j**3*(j - 13)*(j + 1)
What is a in 5*a**4 - 35*a**3 + 35*a**2 + 75*a = 0?
-1, 0, 3, 5
Factor o**2/3 - 256*o + 49152.
(o - 384)**2/3
Solve -3*m**2/5 + 1092*m - 496860 = 0 for m.
910
Factor 25*c**2 + 2585*c + 1030.
5*(c + 103)*(5*c + 2)
Factor -4*y**5 + 32*y**4 - 60*y**3.
-4*y**3*(y - 5)*(y - 3)
Determine s so that -s**5/4 - 4*s**4 - 17*s**3 - 19*s**2/2 + 69*s/4 + 27/2 = 0.
-9, -6, -1, 1
Determine s so that 6*s**4/11 + 1054*s**3/11 + 2776*s**2/11 + 1384*s/11 = 0.
-173, -2, -2/3, 0
Factor 2*b**2/11 - 508*b/11 + 1008/11.
2*(b - 252)*(b - 2)/11
Let -15*v**3 - 864*v**2 + 348*v = 0. What is v?
-58, 0, 2/5
Suppose -4*k**2 + 88*k - 420 = 0. Calculate k.
7, 15
Suppose -a**5 + 3*a**4 + 3*a**3 - 11*a**2 + 6*a = 0. Calculate a.
-2, 0, 1, 3
Factor -n**3/6 + 15*n**2/2 - 88*n + 242/3.
-(n - 22)**2*(n - 1)/6
Factor -2*o**3 + 155*o**2 - 229*o + 76.
-(o - 76)*(o - 1)*(2*o - 1)
Solve -f**5 + 26*f**4 - 105*f**3 - 20*f**2 + 436*f - 336 = 0 for f.
-2, 1, 2, 4, 21
Factor 14*c**5 + 24*c**4 - 8*c**3.
2*c**3*(c + 2)*(7*c - 2)
Determine u so that -2*u**2 - 156*u + 320 = 0.
-80, 2
Find a, given that 2*a**5/23 - 12*a**4/23 + 10*a**3/23 + 48*a**2/23 - 72*a/23 = 0.
-2, 0, 2, 3
Find h such that h**2 - 17*h + 42 = 0.
3, 14
Solve g**2/4 - 41*g/2 