+ 96*k**2 - 576*k.
-4*k*(k - 3)**2*(k + 4)**2
Factor -71*x**2 - 353*x + 10.
-(x + 5)*(71*x - 2)
Factor 6*l**4 - 69*l**3 + 33*l**2.
3*l**2*(l - 11)*(2*l - 1)
Solve 2*v**4 - 34*v**3 + 62*v**2 - 30*v = 0.
0, 1, 15
Determine t so that -t**3 + 6*t**2 + 19*t - 24 = 0.
-3, 1, 8
Let -3*o**4 + 234*o**3 - 219*o**2 - 936*o + 924 = 0. Calculate o.
-2, 1, 2, 77
Find n such that -2*n**5/7 - 6*n**4 - 198*n**3/7 - 278*n**2/7 - 120*n/7 = 0.
-15, -4, -1, 0
Solve -c**3/2 + 17*c**2/2 + 81*c/2 + 63/2 = 0 for c.
-3, -1, 21
Factor -b**3/6 + 581*b**2/6 + 97*b.
-b*(b - 582)*(b + 1)/6
Factor 5*f**5 + 50*f**4 + 150*f**3 + 200*f**2 + 125*f + 30.
5*(f + 1)**4*(f + 6)
Solve -4*q**2/5 + 72*q/5 - 36 = 0.
3, 15
Factor i**3 + 6*i**2 - 16*i.
i*(i - 2)*(i + 8)
Find a such that 22*a**5/5 + 4*a**4/5 - 22*a**3 - 4*a**2 + 88*a/5 + 16/5 = 0.
-2, -1, -2/11, 1, 2
Factor -2*t**4/13 + 16*t**3/13 - 32*t**2/13.
-2*t**2*(t - 4)**2/13
Factor u**2/2 + 123*u/2.
u*(u + 123)/2
Determine c, given that 7*c**4/2 - 2*c**3 - 5*c**2 + 2*c + 3/2 = 0.
-1, -3/7, 1
Let 5*w**2 + 80*w + 140 = 0. What is w?
-14, -2
Find v such that -v**5/6 - 2*v**4/3 - v**3/6 + 7*v**2/3 + 10*v/3 + 4/3 = 0.
-2, -1, 2
Factor 2*v**4/11 + 10*v**3/11 + 18*v**2/11 + 14*v/11 + 4/11.
2*(v + 1)**3*(v + 2)/11
Find x such that 4*x**3/13 + 126*x**2/13 + 14*x + 60/13 = 0.
-30, -1, -1/2
Suppose 64*w**5/5 + 608*w**4/5 - 476*w**3/5 - 304*w**2 + 100*w + 200 = 0. Calculate w.
-10, -1, 5/4
Determine i, given that -i**2 + 184*i + 372 = 0.
-2, 186
Factor -2*s**4 - 18*s**3 - 14*s**2 + 18*s + 16.
-2*(s - 1)*(s + 1)**2*(s + 8)
Factor 5*c**3 + 30*c**2 + 25*c - 60.
5*(c - 1)*(c + 3)*(c + 4)
Solve 12*o**4 - 64*o**3 - 52*o**2 + 24*o = 0.
-1, 0, 1/3, 6
Solve 2*s**5/3 - 2540*s**4/3 - 848*s**3 + 2540*s**2/3 + 2542*s/3 = 0 for s.
-1, 0, 1, 1271
Determine j, given that 2*j**2/3 + 56*j/3 - 136 = 0.
-34, 6
Factor -3*b**3 - 24*b**2 + 3*b + 24.
-3*(b - 1)*(b + 1)*(b + 8)
Factor 2*x**3/9 + 70*x**2/9 + 44*x/3.
2*x*(x + 2)*(x + 33)/9
What is w in -2*w**2 - 184*w + 186 = 0?
-93, 1
Factor -5*t**2 - 185*t - 510.
-5*(t + 3)*(t + 34)
What is p in 2*p**4/17 + 156*p**3/17 + 3722*p**2/17 + 1560*p + 3400 = 0?
-34, -5
Factor -5*g**5 + 270*g**4 - 5400*g**3 + 49680*g**2 - 213840*g + 349920.
-5*(g - 18)**2*(g - 6)**3
Find a such that 2*a**4/5 - 223*a**3/5 + 1551*a**2/5 + 944*a/5 - 832/5 = 0.
-1, 1/2, 8, 104
Find w, given that -3*w**3 + 183*w**2 = 0.
0, 61
Find t such that 3*t**3 - 36*t**2 - 93*t + 126 = 0.
-3, 1, 14
Determine b, given that -4*b**4 + 2388*b**3 + 4*b**2 - 2388*b = 0.
-1, 0, 1, 597
Let -2*i**3 + 262*i**2 + 2*i - 262 = 0. Calculate i.
-1, 1, 131
Factor -l**3/3 - l**2 + 13*l/3 + 5.
-(l - 3)*(l + 1)*(l + 5)/3
Factor -2*w**2 - 300*w.
-2*w*(w + 150)
Factor -2*l**2/5 - 4702*l/5 - 9396/5.
-2*(l + 2)*(l + 2349)/5
Find p, given that p**4 + 8*p**3 - 14*p**2 - 48*p - 27 = 0.
-9, -1, 3
Find b, given that b**5/4 - 5*b**4/4 + 7*b**3/4 - 3*b**2/4 = 0.
0, 1, 3
Let -4*j**4 + 2620*j**3 - 15624*j**2 + 31184*j - 20768 = 0. What is j?
2, 649
Factor 2*z**2/9 + 1100*z/9 + 151250/9.
2*(z + 275)**2/9
Factor 5*t**4 + 250*t**3 + 4320*t**2 + 28160*t + 40960.
5*(t + 2)*(t + 16)**3
Factor -3*d**3/2 + 33*d**2/4 + 9*d/2.
-3*d*(d - 6)*(2*d + 1)/4
Find v such that -4*v**3/3 + 52*v**2/3 - 220*v/3 + 100 = 0.
3, 5
Find d, given that d**3/6 - d**2/2 - 15*d/2 - 27/2 = 0.
-3, 9
Determine b so that -7*b**5/10 + 11*b**4 + 53*b**3/10 - 158*b**2/5 - 158*b/5 - 32/5 = 0.
-1, -2/7, 2, 16
Factor 3*z**3 + 2010*z**2 + 4011*z + 2004.
3*(z + 1)**2*(z + 668)
Solve 3*q**4 - 24*q**3 - 27*q**2 = 0.
-1, 0, 9
Let -147*v**5 - 322*v**4 + 3356*v**3/3 + 664*v**2/3 + 32*v/3 = 0. What is v?
-4, -2/21, 0, 2
Solve -98*o**5/5 - 392*o**4/5 + 498*o**3/5 + 32*o**2/5 - 8*o = 0.
-5, -2/7, 0, 2/7, 1
Solve -z**5 + 44*z**4/7 - 47*z**3/7 + 10*z**2/7 = 0.
0, 2/7, 1, 5
Find h such that h**4/4 + 18*h**3 - 299*h**2/4 + 189*h/2 - 38 = 0.
-76, 1, 2
Solve -24*x**5 + 546*x**4 - 4380*x**3 + 28653*x**2/2 - 14952*x - 4704 = 0 for x.
-1/4, 7/2, 8
Factor 5*w**2 - 420*w - 860.
5*(w - 86)*(w + 2)
What is p in p**3 - 2*p**2 = 0?
0, 2
Factor 2*r**5 + 4*r**4 - 4*r**2 - 2*r.
2*r*(r - 1)*(r + 1)**3
Factor 6*y**2/7 + 248*y/7 - 24.
2*(y + 42)*(3*y - 2)/7
Factor 8*c**5/7 - 40*c**4/7 + 26*c**3/7 + 60*c**2/7 + 18*c/7.
2*c*(c - 3)**2*(2*c + 1)**2/7
Factor 4*t**4 + 5756*t**3 + 2759040*t**2 + 439603200*t - 442368000.
4*(t - 1)*(t + 480)**3
Let 3*w**4 - 9*w**3 + 12*w = 0. What is w?
-1, 0, 2
Determine j, given that j**4/2 + 185*j**3/2 + 367*j**2/2 + 183*j/2 = 0.
-183, -1, 0
Factor -2*q**4 - 12*q**3 + 18*q**2 + 28*q.
-2*q*(q - 2)*(q + 1)*(q + 7)
Factor -22*k**2/9 + 1160*k/9 + 106/3.
-2*(k - 53)*(11*k + 3)/9
Determine n so that -4296*n**4 + 8604*n**3 - 5394*n**2 + 1089*n - 3 = 0.
1/358, 1/2, 1
Let -n**2/4 + 23*n + 93/4 = 0. What is n?
-1, 93
Factor 3*l**2 - 12*l - 288.
3*(l - 12)*(l + 8)
Factor -2*y**2/5 - 592*y/5 - 43808/5.
-2*(y + 148)**2/5
Determine t so that -2*t**5 + 116*t**4/3 - 628*t**3/3 + 608*t**2/3 + 78*t - 108 = 0.
-2/3, 1, 9
Factor 15*b**3 + 245*b**2 + 10*b - 1120.
5*(b - 2)*(b + 16)*(3*b + 7)
Solve -4*f**5/21 + 2*f**4/7 + 80*f**3/21 + 50*f**2/7 + 104*f/21 + 8/7 = 0.
-2, -1, -1/2, 6
Factor -4*k**5 + 88*k**4 - 672*k**3 + 1960*k**2 - 1372*k.
-4*k*(k - 7)**3*(k - 1)
Factor 4*k**2 - 32*k - 80.
4*(k - 10)*(k + 2)
Factor n**3 - 68*n**2 + 260*n - 256.
(n - 64)*(n - 2)**2
Factor b**2/3 - 57*b + 170/3.
(b - 170)*(b - 1)/3
Factor c**3/4 - 23*c**2/4 + 11*c/2.
c*(c - 22)*(c - 1)/4
Find a, given that 33*a**2 + 1252*a - 76 = 0.
-38, 2/33
Let -o**4/2 - 55*o**3/2 - 53*o**2/2 + 55*o/2 + 27 = 0. What is o?
-54, -1, 1
Let -5*z**4/6 - 2675*z**3/3 - 7115*z**2/2 - 13330*z/3 - 5330/3 = 0. What is z?
-1066, -2, -1
Factor 2*p**2 + 54*p - 56.
2*(p - 1)*(p + 28)
Factor 14*w**2/5 - 16*w/5 - 24/5.
2*(w - 2)*(7*w + 6)/5
Factor -4*b**4 + 2168*b**3 - 397296*b**2 + 25600672*b - 180472064.
-4*(b - 178)**3*(b - 8)
Solve -t**5/3 - 29*t**4/9 - 41*t**3/9 - 7*t**2/9 + 8*t/9 = 0 for t.
-8, -1, 0, 1/3
Factor -4*z**2 + 312*z - 6084.
-4*(z - 39)**2
Factor -2*d**2 - 134*d - 132.
-2*(d + 1)*(d + 66)
Factor -4*y**3 + 164*y**2 - 2016*y + 6480.
-4*(y - 18)**2*(y - 5)
Solve 6*c**2/7 - 6*c/7 = 0 for c.
0, 1
Let -6*q**2 - 1041*q + 522 = 0. Calculate q.
-174, 1/2
Determine t so that t**2/4 - 79*t/4 - 83 = 0.
-4, 83
Find p, given that -p**2 - 3480*p - 3027600 = 0.
-1740
Suppose 2*o**4 + 28*o**3 + 50*o**2 + 24*o = 0. Calculate o.
-12, -1, 0
Find z, given that -z**3/5 - 19*z**2/5 - 87*z/5 - 117/5 = 0.
-13, -3
Factor 5*x**2 - 55*x + 120.
5*(x - 8)*(x - 3)
Factor 2*f**4 + 92*f**3 + 86*f**2 - 180*f.
2*f*(f - 1)*(f + 2)*(f + 45)
Factor 2*b**2/9 + 1520*b/9 + 506/3.
2*(b + 1)*(b + 759)/9
Factor g**3/3 - 248*g**2 + 61504*g - 15252992/3.
(g - 248)**3/3
Find v, given that v**2/7 - 3*v/7 - 54 = 0.
-18, 21
Factor 3*f**2/8 - 66*f + 2904.
3*(f - 88)**2/8
What is y in -11*y**4 + 1681*y**3 + 317*y**2 - 1681*y - 306 = 0?
-1, -2/11, 1, 153
Let 3*t**4 + 2532*t**3 - 7614*t**2 + 7620*t - 2541 = 0. Calculate t.
-847, 1
Determine x so that 32*x**3/5 + 33936*x**2/5 - 16974*x/5 + 2122/5 = 0.
-1061, 1/4
Factor 21*i**2 + 528*i + 75.
3*(i + 25)*(7*i + 1)
Factor -3*x**3 - 153*x**2 + 12*x + 612.
-3*(x - 2)*(x + 2)*(x + 51)
Factor 4*d**2/7 - 60*d/7 - 64/7.
4*(d - 16)*(d + 1)/7
Factor -4*h**4/7 + 340*h**3/7 - 9396*h**2/7 + 77372*h/7 + 195112/7.
-4*(h - 29)**3*(h + 2)/7
Let 2*m**3/3 + 20*m**2/3 + 26*m/3 - 16 = 0. What is m?
-8, -3, 1
Factor -3*v**3 + 63*v**2 - 222*v - 288.
-3*(v - 16)*(v - 6)*(v + 1)
Factor 4*k**2 + 8*k.
4*k*(k + 2)
Factor 2*l**3/5 - 868*l**2/5 - 5262*l/5 - 1584.
2*(l - 440)*(l + 3)**2/5
Factor -10*u**3/7 - 6*u**2 - 38*u/7 - 6/7.
-2*(u + 1)*(u + 3)*(5*u + 1)/7
Determine m so that 2*m**4 - 102*m**3 + 1554*m**2 - 9506*m + 20580 = 0.
7, 30
Factor -4*y**5 + 720*y**4 - 43200*y**3 + 864000*y**2.
-4*y**2*(y - 60)**3
Factor -v**3/4 + 15*v**2/4 + 29*v/2 - 18.
-(v - 18)*(v - 1)*(v + 4)/4
Solve -4*w**5 - 28*w**4 + 428*w**3 + 476*w**2 - 424*w - 448 = 0.
-14, -1, 1, 8
Let -10*c**3 + 4132*c**2/3 - 1006*c + 548/3 = 0. Calculate c.
1/3, 2/5, 137
Let -f**2/4 + 19*f/2 - 361/4 = 0. What is f?
19
Determine q so that -2*q**5/3 + 22*q**4/3 + 2*q**3/3 - 22*q**2/3 = 0.
-1, 0, 1, 11
Factor 5*y**3 - 410*y**2 - 2595*y - 3960.
5*(y - 88)*(y + 3)**2
Determine c, given that 3*c**4/8 - 399*c**3/4 + 13659*c**2/2 - 104145*c/4 + 154449/8 = 0.
1, 3, 131
