203)*(3*u + 1)**3/3
Factor 5*q**2 + 980*q - 1980.
5*(q - 2)*(q + 198)
Factor 3*t**2/4 - 75*t/2 + 1875/4.
3*(t - 25)**2/4
Determine j so that -35*j**4 - 445*j**3 - 990*j**2 - 380*j + 200 = 0.
-10, -2, -1, 2/7
Solve -36*x**4 + 136*x**3 + 212*x**2 + 40*x = 0.
-1, -2/9, 0, 5
What is a in -5*a**5 - 245*a**4 - 2255*a**3 + 20145*a**2 + 16200*a - 174960 = 0?
-27, -3, 4
Factor 2*q**3 - 26*q**2 + 60*q.
2*q*(q - 10)*(q - 3)
Factor -2*j**2/3 + 40*j + 122/3.
-2*(j - 61)*(j + 1)/3
Let -2*t**3/7 + 3968*t**2/7 - 1972090*t/7 + 3928324/7 = 0. What is t?
2, 991
Factor f**3 + 108*f**2 + 2916*f.
f*(f + 54)**2
Factor 3*g**3 - 48*g**2 + 153*g - 108.
3*(g - 12)*(g - 3)*(g - 1)
Find b, given that 4*b**3/7 - 12*b**2/7 - 40*b = 0.
-7, 0, 10
Factor -10*y**3 - 875*y**2 + 2240*y - 900.
-5*(y - 2)*(y + 90)*(2*y - 1)
Factor -a**3/3 - 8*a**2/3 + 19*a/3 - 10/3.
-(a - 1)**2*(a + 10)/3
Suppose -i**4 + 30*i**3 + 7*i**2 - 204*i - 180 = 0. What is i?
-2, -1, 3, 30
Solve -5*s**4 + 45*s**3 - 35*s**2 - 45*s + 40 = 0 for s.
-1, 1, 8
Let -2*t**4/9 + 14*t**3/9 - 16*t**2/9 - 56*t/9 + 32/3 = 0. What is t?
-2, 2, 3, 4
What is v in -14*v**3/9 - 74*v**2/9 - 104*v/9 - 8/3 = 0?
-3, -2, -2/7
Factor p**5/3 - 2*p**4 + 8*p**3/3 + 2*p**2 - 3*p.
p*(p - 3)**2*(p - 1)*(p + 1)/3
Factor p**2/5 - 68*p/5 + 67/5.
(p - 67)*(p - 1)/5
Determine z so that -5*z**5/2 - 5*z**4 + 25*z**3/2 + 25*z**2 - 10*z - 20 = 0.
-2, -1, 1, 2
Find l such that -3*l**3 + 24*l**2 + 117*l - 810 = 0.
-6, 5, 9
Factor -2*l**5/7 + 8*l**4/7 + 46*l**3/7 - 76*l**2/7 - 440*l/7 - 400/7.
-2*(l - 5)**2*(l + 2)**3/7
Let 5*m**5 - 55*m**4 - 485*m**3 - 425*m**2 = 0. Calculate m.
-5, -1, 0, 17
Factor -8*i**3 + 10*i**2 + 1054*i - 264.
-2*(i - 12)*(i + 11)*(4*i - 1)
Factor 2*d**3/5 + 18*d**2/5 + 6*d + 14/5.
2*(d + 1)**2*(d + 7)/5
Factor -2*z**2/13 + 688*z/13 - 59168/13.
-2*(z - 172)**2/13
Determine j so that -5*j**2 - 2690*j - 361805 = 0.
-269
Determine j, given that j**4/11 + 6*j**3/11 - 32*j/11 = 0.
-4, 0, 2
Factor g**5/4 - 4*g**3 + 4*g**2 + 12*g - 16.
(g - 2)**3*(g + 2)*(g + 4)/4
Factor -21*i**3 - 81*i**2 + 36*i + 96.
-3*(i + 1)*(i + 4)*(7*i - 8)
Factor -h**4 - 93*h**3 - 2883*h**2 - 29791*h.
-h*(h + 31)**3
Factor -v**2/6 + 347*v/3 - 120409/6.
-(v - 347)**2/6
What is j in -j**4/4 - 17*j**3/4 + j**2/4 + 17*j/4 = 0?
-17, -1, 0, 1
Find r such that 5*r**2 + 165*r + 700 = 0.
-28, -5
Suppose 2*a**4 + 64*a**3 + 668*a**2 + 2496*a + 3042 = 0. Calculate a.
-13, -3
Determine n so that -25*n**4 - 140*n**3 - 65*n**2 + 50*n = 0.
-5, -1, 0, 2/5
Factor 2*y**4 - 20*y**3 + 42*y**2.
2*y**2*(y - 7)*(y - 3)
Determine z so that z**4/4 - 57*z**3/4 + 1083*z**2/4 - 6859*z/4 = 0.
0, 19
Factor -q**2/3 - 203*q/3 - 200.
-(q + 3)*(q + 200)/3
Factor -2*k**3/11 - 10*k**2/11 - 4*k/11 + 16/11.
-2*(k - 1)*(k + 2)*(k + 4)/11
Factor -p**4/4 + 11*p**3/2 - 75*p**2/4 + 27*p/2.
-p*(p - 18)*(p - 3)*(p - 1)/4
Determine q so that -2*q**5/15 + 4*q**4/15 - 4*q**2/15 + 2*q/15 = 0.
-1, 0, 1
Suppose 2*o**3/7 + 36*o**2/7 - 78*o/7 - 2704/7 = 0. What is o?
-13, 8
Find c, given that -5*c**2 - 15500*c - 12012500 = 0.
-1550
Solve -w**5/2 + 7*w**4/2 + 57*w**3/2 - 603*w**2/2 + 756*w - 486 = 0 for w.
-9, 1, 3, 6
Suppose -10*v**4/11 - 4*v**3 - 26*v**2/11 + 56*v/11 + 24/11 = 0. Calculate v.
-3, -2, -2/5, 1
Factor 2*k**5 - 96*k**4 + 276*k**3 - 272*k**2 + 90*k.
2*k*(k - 45)*(k - 1)**3
Factor -3*w**2 - 42*w + 96.
-3*(w - 2)*(w + 16)
Suppose o**5/4 + 51*o**4/4 + 359*o**3/4 + 637*o**2/4 - 90*o - 172 = 0. What is o?
-43, -4, -1, 1
Factor -3*w**2 - 57*w - 54.
-3*(w + 1)*(w + 18)
Factor -2*r**4 + 402*r**3 - 26934*r**2 + 601526*r.
-2*r*(r - 67)**3
Determine n so that 3*n**4/4 - 3*n**3 - 72*n**2 = 0.
-8, 0, 12
Solve 3*q**5/4 + 180*q**4 + 19725*q**3/2 - 112500*q**2 + 1171875*q/4 = 0.
-125, 0, 5
Suppose -29*k**4/2 - 45*k**3 - 48*k**2 - 19*k - 3/2 = 0. What is k?
-1, -3/29
Factor 14*f**2 + 96*f + 1152/7.
2*(7*f + 24)**2/7
Factor -125*j**3 + 377*j**2 - 256*j + 4.
-(j - 2)*(j - 1)*(125*j - 2)
Determine z so that -1392*z**3 + 160*z**2 + 12*z = 0.
-3/58, 0, 1/6
Factor s**4/3 - 2*s**3 + 3*s**2.
s**2*(s - 3)**2/3
Suppose -4*k**4/7 + 612*k**3/7 - 608*k**2/7 = 0. What is k?
0, 1, 152
Factor -d**3/3 - 7*d**2 - 119*d/3 - 33.
-(d + 1)*(d + 9)*(d + 11)/3
Factor o**3 + 46*o**2 + 295*o - 342.
(o - 1)*(o + 9)*(o + 38)
Determine a so that 2*a**2/7 - 24840*a/7 + 77128200/7 = 0.
6210
Let 3*p**2/4 - 39*p/2 + 120 = 0. What is p?
10, 16
Determine m, given that m**2/3 - 7*m/3 = 0.
0, 7
Find c, given that 2*c**2/7 - 162*c/7 + 2176/7 = 0.
17, 64
Factor -2*r**5 + 26*r**4/5 + 12*r**3/5.
-2*r**3*(r - 3)*(5*r + 2)/5
Determine f so that 2*f**4/13 - 192*f**3/13 + 1090*f**2/13 - 900*f/13 = 0.
0, 1, 5, 90
Solve -20*v**3/9 + 58*v**2/9 + 2*v/3 = 0.
-1/10, 0, 3
Factor -3*f**3/2 - 22*f**2 - 117*f/2 + 22.
-(f + 4)*(f + 11)*(3*f - 1)/2
Factor 4*t**3 + 100*t**2 + 800*t + 2000.
4*(t + 5)*(t + 10)**2
Solve -u**4 - 15*u**3 + 101*u**2 + 15*u - 100 = 0.
-20, -1, 1, 5
Suppose -4*d**4/3 - 16*d**3/3 + 4*d**2/3 + 64*d/3 + 16 = 0. Calculate d.
-3, -2, -1, 2
Suppose 3*x**3 - 1368*x**2 + 2724*x = 0. Calculate x.
0, 2, 454
Let 5*f**4 - 5*f**3 - 10*f**2 = 0. Calculate f.
-1, 0, 2
Let -j**5/6 + j**4/3 + 18*j**3 + 215*j**2/3 + 325*j/6 = 0. What is j?
-5, -1, 0, 13
Solve 5*j**4 + 20*j**3 - 30*j**2 - 20*j + 25 = 0 for j.
-5, -1, 1
Find h such that -5*h**3 - 210*h**2 - 2940*h - 13720 = 0.
-14
Find w such that -w**4/4 - 7*w**3/4 - 17*w**2/4 - 17*w/4 - 3/2 = 0.
-3, -2, -1
Find y such that -3*y**2 + 1104*y - 101568 = 0.
184
Suppose 4*g**4/5 + 328*g**3 - 1648*g**2/5 - 328*g + 1644/5 = 0. Calculate g.
-411, -1, 1
Solve 4*v**2/5 - 76*v/5 - 264/5 = 0 for v.
-3, 22
Let -2*o**2/11 - 26*o/11 - 60/11 = 0. Calculate o.
-10, -3
Let 5*g**3 + 30*g**2 - 5*g - 30 = 0. Calculate g.
-6, -1, 1
Suppose -n**3 - 27*n**2 - 51*n - 25 = 0. Calculate n.
-25, -1
Factor -5*z**4 + 32*z**3 + 63*z**2 + 10*z - 16.
-(z - 8)*(z + 1)**2*(5*z - 2)
Factor 4*o**3 + 44*o**2 - 56*o - 96.
4*(o - 2)*(o + 1)*(o + 12)
Determine i so that 3*i**5 + 15*i**4 - 99*i**3 - 579*i**2 - 240*i + 900 = 0.
-5, -2, 1, 6
Factor 2*p**4/19 + 12*p**3/19 + 22*p**2/19 + 12*p/19.
2*p*(p + 1)*(p + 2)*(p + 3)/19
Factor -p**4/4 + 3*p**3 - 9*p**2.
-p**2*(p - 6)**2/4
Let -i**3/3 + 11*i**2/3 + i/3 - 11/3 = 0. Calculate i.
-1, 1, 11
Suppose 3*y**4 + 93*y**3 - 666*y**2 = 0. What is y?
-37, 0, 6
Factor -3*q**5/8 - 9*q**4/8 - 9*q**3/8 - 3*q**2/8.
-3*q**2*(q + 1)**3/8
Factor 14*k**2/5 + 872*k/5.
2*k*(7*k + 436)/5
Factor 4*v**5 - 12*v**3 + 8*v**2.
4*v**2*(v - 1)**2*(v + 2)
Let -2*u**4 + 16*u**3 - 26*u**2 + 12*u = 0. Calculate u.
0, 1, 6
Factor 6*t**5 - 28*t**4 + 16*t**3.
2*t**3*(t - 4)*(3*t - 2)
Factor 3*z**2 - 1200*z - 2412.
3*(z - 402)*(z + 2)
Factor -2*d**2/15 - 12608*d/15 - 19870208/15.
-2*(d + 3152)**2/15
Solve 2*d**3/11 + 1228*d**2/11 - 2462*d/11 + 112 = 0.
-616, 1
Determine q, given that -q**3/3 - 13*q**2 + q/3 + 13 = 0.
-39, -1, 1
Factor -2*q**4 + 2*q**3 + 8*q**2 - 8*q.
-2*q*(q - 2)*(q - 1)*(q + 2)
Determine g so that -98*g**5 - 1358*g**4 - 5618*g**3 - 8802*g**2 - 4860*g - 864 = 0.
-8, -3, -2, -3/7
Solve -4*c**4 - 20*c**3 - 12*c**2 + 20*c + 16 = 0.
-4, -1, 1
Factor -550*o**2/3 - 2194*o/3 + 8.
-2*(o + 4)*(275*o - 3)/3
Factor -656*i**3/5 + 526*i**2 - 2648*i/5 + 24/5.
-2*(i - 2)**2*(328*i - 3)/5
Suppose -5*u**2 + 1970*u - 5865 = 0. Calculate u.
3, 391
Factor u**3/5 - 2*u**2/5 - u + 6/5.
(u - 3)*(u - 1)*(u + 2)/5
Suppose -74*x**5/17 - 4*x**4/17 + 592*x**3/17 + 32*x**2/17 - 1184*x/17 - 64/17 = 0. Calculate x.
-2, -2/37, 2
Find u such that u**4/8 + 3*u**3/4 - 7*u**2/8 - 12*u - 18 = 0.
-4, -3, 4
Factor -r**2/2 - 537*r/4 + 269/4.
-(r + 269)*(2*r - 1)/4
Find q, given that -4*q**2 - 624*q - 24336 = 0.
-78
Determine g so that g**3/2 - 3*g**2/2 - 38*g + 144 = 0.
-9, 4, 8
Let -r**3/4 - 63*r**2/4 - 1323*r/4 - 9261/4 = 0. What is r?
-21
Factor -10*a**3 + 19*a**2 - 8*a - 1.
-(a - 1)**2*(10*a + 1)
Factor -2*s**4/15 - 2*s**3/15 + 6*s**2/5 - 22*s/15 + 8/15.
-2*(s - 1)**3*(s + 4)/15
What is q in q**4 + 323*q**3 - 976*q**2 + 652*q = 0?
-326, 0, 1, 2
Factor 4*j**2 - 1148*j + 10008.
4*(j - 278)*(j - 9)
Solve 5*y**3 + 3305*y**2 + 547800*y + 544500 = 0.
-330, -1
Factor m**3/4 - 15*m**2/4 + 18*m - 27.
(m - 6)**2*(m - 3)/4
Find j such that j**5 + 4*j**4 - 6*j**3 - 4*j**2 + 5*j = 0.
-5, -1, 0, 1
Let -4*q**5/5 + 8*q**4 + 44*q**3/5 = 0. What is q?
-1, 0, 11
Find g, give