ppose i**5/5 - 28*i**4/5 - 59*i**3/5 - 6*i**2 = 0. Calculate i.
-1, 0, 30
Factor -3*r**2 + 510*r + 1032.
-3*(r - 172)*(r + 2)
Let 26*m**3/3 + 110*m**2/3 + 128*m/3 + 8 = 0. Calculate m.
-2, -3/13
Factor s**4/5 - s**3 - 2*s**2/5 + 24*s/5.
s*(s - 4)*(s - 3)*(s + 2)/5
Factor -h**3 - 86*h**2 + 651*h.
-h*(h - 7)*(h + 93)
Factor -14*w**3/5 + 74*w**2/5 - 4*w.
-2*w*(w - 5)*(7*w - 2)/5
Determine d, given that -d**2/5 + 232*d - 67280 = 0.
580
Factor b**3/7 + 8*b**2/7 + 16*b/7.
b*(b + 4)**2/7
Factor 2*x**3/5 - 3*x**2/5 - 23*x/5 - 18/5.
(x + 1)*(x + 2)*(2*x - 9)/5
Suppose -32*z**4/5 - 176*z**3/5 - 322*z**2/5 - 196*z/5 = 0. What is z?
-2, -7/4, 0
Factor r**4 - 3*r**3 - 6*r**2 + 8*r.
r*(r - 4)*(r - 1)*(r + 2)
Factor 2*t**2/7 + 2*t + 12/7.
2*(t + 1)*(t + 6)/7
Let -7*l**5/3 + 19*l**4/3 + 86*l**3 + 296*l**2/3 + 64*l/3 = 0. What is l?
-4, -1, -2/7, 0, 8
Determine s so that 6*s**4/5 + 44*s**3/5 + 362*s**2/15 + 88*s/3 + 40/3 = 0.
-2, -5/3
Factor -2*q**2/9 - 8132*q/9 - 8266178/9.
-2*(q + 2033)**2/9
Factor -a**4 - 4*a**3 - 3*a**2.
-a**2*(a + 1)*(a + 3)
What is p in -p**2/8 - 9*p/4 - 4 = 0?
-16, -2
Suppose -4*c**2 - 128*c = 0. What is c?
-32, 0
Find s, given that -10*s**3 - 954*s**2 - 380*s = 0.
-95, -2/5, 0
Factor 4*d**4 - 28*d**3 + 52*d**2 + 12*d - 72.
4*(d - 3)**2*(d - 2)*(d + 1)
What is k in 3*k**4 - 78*k**3/5 + 147*k**2/5 - 24*k + 36/5 = 0?
1, 6/5, 2
Solve q**4 + 42*q**3 + 637*q**2 + 4116*q + 9604 = 0.
-14, -7
Determine t so that 4*t**3 - 12*t**2 - 24*t + 32 = 0.
-2, 1, 4
Factor -d**4/2 - 27*d**3/2 + 119*d**2/2 - 153*d/2 + 31.
-(d - 2)*(d - 1)**2*(d + 31)/2
Determine h so that -h**3/4 - h**2/4 + h/4 + 1/4 = 0.
-1, 1
Let -6*m**5 + 171*m**4 + 1863*m**3 + 888*m**2 = 0. Calculate m.
-8, -1/2, 0, 37
Suppose -11*y**4 + 218*y**3 - 147*y**2 - 452*y - 76 = 0. What is y?
-1, -2/11, 2, 19
Factor -n**2/4 - 34*n + 140.
-(n - 4)*(n + 140)/4
Determine s, given that s**2 + 15*s + 36 = 0.
-12, -3
Solve 5*m**3/4 - 175*m**2/4 + 360*m + 405 = 0.
-1, 18
Solve -3*v**3 + 15*v**2/4 + 27*v/2 + 27/4 = 0 for v.
-1, -3/4, 3
Factor -26*j**2 + 2422*j - 372.
-2*(j - 93)*(13*j - 2)
Let -2*p**3/7 - 4*p**2/7 = 0. Calculate p.
-2, 0
Factor -x**3/2 - 29*x**2 - 390*x + 900.
-(x - 2)*(x + 30)**2/2
Factor -2*y**4/9 + 2*y**3/3 - 2*y**2/3 + 2*y/9.
-2*y*(y - 1)**3/9
Factor k**4/2 + k**3/2 - 5*k**2/2 + 3*k/2.
k*(k - 1)**2*(k + 3)/2
Factor 2*y**3/9 - 2*y**2/3 - 2*y - 10/9.
2*(y - 5)*(y + 1)**2/9
Factor 4*v**3 + 1188*v**2 + 87612*v - 88804.
4*(v - 1)*(v + 149)**2
Factor -4*m**4 - 24*m**3 + 28*m**2.
-4*m**2*(m - 1)*(m + 7)
Let 2*l**5/3 - 32*l**4/9 - 8*l**3 + 4*l**2/9 + 22*l/3 + 28/9 = 0. What is l?
-1, -2/3, 1, 7
Factor -3*s**4 + 27*s**3 - 24*s**2 - 180*s.
-3*s*(s - 6)*(s - 5)*(s + 2)
Let -10*m**2 - 114*m - 44 = 0. Calculate m.
-11, -2/5
Suppose 4*o**5/7 - 8*o**4/7 - 24*o**3/7 + 80*o**2/7 - 76*o/7 + 24/7 = 0. What is o?
-3, 1, 2
Factor -3*i**5/4 - 105*i**4/4 + 150*i**3.
-3*i**3*(i - 5)*(i + 40)/4
Solve m**3/5 - 14*m**2 - m/5 + 14 = 0 for m.
-1, 1, 70
Factor -2*y**5 - 86*y**4 + 178*y**3 - 90*y**2.
-2*y**2*(y - 1)**2*(y + 45)
Solve 2*c**2 + 44*c = 0.
-22, 0
Factor 4*h**3 + 511*h**2 + 1010*h + 503.
(h + 1)**2*(4*h + 503)
Determine s so that -s**3/2 + 5*s**2/2 - 7*s/2 + 3/2 = 0.
1, 3
What is w in w**4/3 + 238*w**3/3 + 4799*w**2 + 28084*w/3 + 13924/3 = 0?
-118, -1
Factor 2*a**2 + 12*a + 16.
2*(a + 2)*(a + 4)
Let -4*d**3 - 288*d**2 + 316*d + 1752 = 0. What is d?
-73, -2, 3
Find u, given that -u**5 - 9*u**4 - 20*u**3 - 12*u**2 = 0.
-6, -2, -1, 0
Factor 2*z**2 - 14*z + 12.
2*(z - 6)*(z - 1)
Factor r**3/5 + 23*r**2/5 + 22*r/5.
r*(r + 1)*(r + 22)/5
Solve -4*j**3/3 + 184*j**2/3 + 196*j/3 - 376/3 = 0.
-2, 1, 47
Factor -2*t**3 + 200*t**2.
-2*t**2*(t - 100)
Factor 4*v**5 - 172*v**4 - 540*v**3 - 548*v**2 - 184*v.
4*v*(v - 46)*(v + 1)**3
Determine h, given that 25*h**5 - 310*h**4 - 545*h**3 - 210*h**2 = 0.
-1, -3/5, 0, 14
Find u such that 2*u**4/11 + 4*u**3/11 - 2*u**2/11 - 4*u/11 = 0.
-2, -1, 0, 1
Factor -o**3 + 247*o**2 + o - 247.
-(o - 247)*(o - 1)*(o + 1)
Let -2*s**3/17 - 76*s**2/17 - 144*s/17 = 0. What is s?
-36, -2, 0
Solve -4*u**4 - 80*u**3 - 456*u**2 - 432*u + 972 = 0.
-9, -3, 1
Solve 8*n**5/19 - 42*n**4/19 - 54*n**3/19 + 112*n**2/19 - 24*n/19 = 0 for n.
-2, 0, 1/4, 1, 6
Find g such that -3*g**3 - 294*g**2 - 291*g = 0.
-97, -1, 0
Factor 3*a**2 + 19770*a + 32571075.
3*(a + 3295)**2
Factor 22*b**5/13 + 2*b**4 + 4*b**3/13.
2*b**3*(b + 1)*(11*b + 2)/13
Solve 6*p**5/7 + 30*p**4/7 + 6*p**3 + 18*p**2/7 = 0 for p.
-3, -1, 0
Solve -6*v**5 - 10*v**4 + 22*v**3 + 10*v**2 - 16*v = 0 for v.
-8/3, -1, 0, 1
Solve 4*i**3/7 + 22*i**2/7 - 6*i = 0.
-7, 0, 3/2
Suppose -3*d**3 - 69*d**2 - 429*d - 363 = 0. Calculate d.
-11, -1
Let -3*h**4/4 - 3*h**3/2 + 3*h/2 + 3/4 = 0. What is h?
-1, 1
Factor -2*n**2/9 - 10*n/9 + 208/9.
-2*(n - 8)*(n + 13)/9
Suppose -l**3 - 4*l**2 + 128*l + 768 = 0. Calculate l.
-8, 12
Let 8829*v**4/5 + 4086*v**3/5 + 508*v**2/5 + 8*v/5 = 0. Calculate v.
-2/9, -2/109, 0
Factor 3*f**4 + 102*f**3 + 639*f**2 - 3876*f + 4332.
3*(f - 2)**2*(f + 19)**2
What is n in n**3 + 336*n**2 + 37632*n + 1404928 = 0?
-112
Let -f**2/3 + 10*f/3 + 8 = 0. What is f?
-2, 12
Factor v**2 + 2*v - 48.
(v - 6)*(v + 8)
Solve -2*r**3/11 + 146*r**2/11 - 144*r/11 = 0.
0, 1, 72
Factor 3*y**4 - 78*y**3 + 219*y**2 + 3744*y + 6912.
3*(y - 16)**2*(y + 3)**2
Suppose -r**2 - 103*r/7 + 30/7 = 0. Calculate r.
-15, 2/7
Factor -65*q**3 + 205*q**2 + 230*q - 40.
-5*(q - 4)*(q + 1)*(13*q - 2)
Let -3*w**2 - 435*w + 438 = 0. Calculate w.
-146, 1
Let m**5/5 + m**4 - 17*m**3/5 - 25*m**2 - 184*m/5 - 16 = 0. Calculate m.
-4, -1, 5
Solve 5*m**2 - 995*m - 4060 = 0 for m.
-4, 203
Factor -2*q**5/3 + 22*q**4/3 - 70*q**3/3 + 50*q**2/3.
-2*q**2*(q - 5)**2*(q - 1)/3
Solve -x**2/2 - 37*x/2 - 35 = 0 for x.
-35, -2
Suppose 2*q**4 + 20*q**3 + 66*q**2 + 88*q + 40 = 0. What is q?
-5, -2, -1
Factor p**4/2 + 17*p**3/2 + 39*p**2 + 70*p + 44.
(p + 2)**3*(p + 11)/2
Let 5*l**2 + 1030*l + 1025 = 0. Calculate l.
-205, -1
Determine q, given that 2*q**3/7 - 284*q**2/7 + 282*q/7 = 0.
0, 1, 141
Solve -2*l**2/15 + 944*l/15 - 111392/15 = 0.
236
Factor -2*m**5/9 + 48*m**4 - 22892*m**3/9 - 5232*m**2 - 23762*m/9.
-2*m*(m - 109)**2*(m + 1)**2/9
Factor 3*a**5 - 60*a**4 + 354*a**3 - 540*a**2 + 243*a.
3*a*(a - 9)**2*(a - 1)**2
Factor 3*u**4 + 84*u**3 + 666*u**2 + 1092*u + 507.
3*(u + 1)**2*(u + 13)**2
Solve -a**2/5 - 106*a/5 - 2809/5 = 0.
-53
Factor -4096*m**2 - 128*m - 1.
-(64*m + 1)**2
Determine m so that -m**4/4 - 31*m**3/4 + 44*m**2 - 36*m = 0.
-36, 0, 1, 4
Determine m, given that -30*m**3 - 896*m**2/3 + 56*m/3 + 160/3 = 0.
-10, -2/5, 4/9
Factor -u**3/7 + 8*u**2 - 112*u.
-u*(u - 28)**2/7
Find r such that 243*r**5/2 + 81*r**4 + 18*r**3 + 4*r**2/3 = 0.
-2/9, 0
Solve 4*b**2/17 + 218*b/17 - 110/17 = 0 for b.
-55, 1/2
Factor -c**3 + 11268*c**2 - 42322608*c + 52987905216.
-(c - 3756)**3
Let 5*x**5 + 40*x**4 + 45*x**3 - 110*x**2 - 100*x + 120 = 0. Calculate x.
-6, -2, 1
Factor 2*j**2/7 + 64*j/7 + 174/7.
2*(j + 3)*(j + 29)/7
Factor v**5/7 - 4*v**4/7 - 27*v**3/7 - 38*v**2/7 - 16*v/7.
v*(v - 8)*(v + 1)**2*(v + 2)/7
Determine n so that -8*n**5/3 - 13*n**4/3 - 2*n**3/3 + n**2 = 0.
-1, 0, 3/8
Factor -3*d**2 + 126*d.
-3*d*(d - 42)
Factor 2*l**4/9 + 16*l**3/9 - 374*l**2/9 - 3388*l/9.
2*l*(l - 14)*(l + 11)**2/9
Determine g, given that -5*g**3 - 20*g**2 + 55*g - 30 = 0.
-6, 1
Find l such that 5*l**3 - 190*l**2 - 825*l - 630 = 0.
-3, -1, 42
Factor x**3 - 402*x**2 + 53868*x - 2406104.
(x - 134)**3
Find f, given that 4*f**3 - 444*f**2 + 1304*f - 864 = 0.
1, 2, 108
Find n such that 2*n**5/11 - 2*n**4/11 - 8*n**3/11 + 8*n**2/11 = 0.
-2, 0, 1, 2
Find q such that 5*q**5 + 280*q**4 + 1560*q**3 + 3050*q**2 + 2515*q + 750 = 0.
-50, -3, -1
Factor 2*i**5/7 + 10*i**4/7 + 6*i**3/7 - 18*i**2/7.
2*i**2*(i - 1)*(i + 3)**2/7
Let 2*u**5 + 86*u**4 + 1260*u**3 + 6664*u**2 + 5488*u = 0. What is u?
-14, -1, 0
Solve -g**2 - 90*g = 0.
-90, 0
Find a such that 4*a**2 + 40*a = 0.
-10, 0
Factor 4*a**4 + 1588*a**3 - 1592*a**2.
4*a**2*(a - 1)*(a + 398)
Factor -u**3/4 + 21*u**2/4 - 99*u/4 - 121/4.
-(u - 11)**2*(u + 1)/4
Solve 3*n**3 - 300*n**2 - 3*n + 300 = 0.
-1, 1, 100
Determine b so that -2*b**3/21 - 32*b**2/21 - 106*b/21 + 20/3 = 0.
-10, -7, 1
Factor -4*c**2 + 24*c - 36.
-4*(c - 3)**2
Find i, given that 4*i**5 + 280*i**4 + 5908*i**3 + 30528*