**2 - 220*j - 200.
-4*(j - 5)**2*(3*j + 2)
Factor -n**5/4 + 1541*n**4/4 - 396293*n**3/2 + 68293125*n**2/2 - 270800901*n/4 + 135005697/4.
-(n - 513)**3*(n - 1)**2/4
Factor 2*w**4/7 + 2*w**3 + 36*w**2/7 + 40*w/7 + 16/7.
2*(w + 1)*(w + 2)**3/7
Factor -b**4/2 + 33*b**3/2 - 87*b**2 - 104*b.
-b*(b - 26)*(b - 8)*(b + 1)/2
Suppose 3*l**4 - 1896*l**3 + 301458*l**2 - 597240*l + 297675 = 0. What is l?
1, 315
Solve -2*l**3 - 10*l**2 - 14*l - 6 = 0.
-3, -1
Solve -3*d**3 + 429*d**2 - 849*d + 423 = 0 for d.
1, 141
Factor 3*o**3 - 420*o**2 + 417*o.
3*o*(o - 139)*(o - 1)
Determine g, given that -g**2 + 42*g = 0.
0, 42
Factor h**5/2 - 7*h**4 - 54*h**3 - 116*h**2 - 80*h.
h*(h - 20)*(h + 2)**3/2
Factor -a**3 + 43*a**2 - 595*a + 2601.
-(a - 17)**2*(a - 9)
Suppose -554*x**4 + 555*x**3 + 553*x**2 - 555*x + 1 = 0. Calculate x.
-1, 1/554, 1
Factor 3*u**2/5 - 3894*u/5 + 1263603/5.
3*(u - 649)**2/5
Determine o so that -7*o**2/9 - 2*o + 1 = 0.
-3, 3/7
Factor -14*a**2 + 18*a - 4.
-2*(a - 1)*(7*a - 2)
Factor 2*c**4 - 8*c**3 + 2*c**2 + 12*c.
2*c*(c - 3)*(c - 2)*(c + 1)
Factor -2*n**2 - 16*n + 40.
-2*(n - 2)*(n + 10)
Let -66049*h**2 + 514*h - 1 = 0. Calculate h.
1/257
Solve -5*c**3/2 + 25*c**2/2 + 20*c - 30 = 0 for c.
-2, 1, 6
What is m in -4*m**4 + 256*m**3 - 3832*m**2 - 8448*m - 4356 = 0?
-1, 33
Let 2*g**3 - 248*g**2 + 7688*g = 0. Calculate g.
0, 62
Let -2*c**3 - 1164*c**2 - 170520*c - 336400 = 0. What is c?
-290, -2
Factor -2*g**2/9 + 50*g/9 - 16/3.
-2*(g - 24)*(g - 1)/9
Determine p, given that 2*p**4 - 106*p**3 - 110*p**2 + 106*p + 108 = 0.
-1, 1, 54
Factor -5*x**2 + 280*x - 275.
-5*(x - 55)*(x - 1)
Find r such that -2*r**5/7 + 1564*r**4/7 - 459420*r**3/7 + 60231600*r**2/7 - 430062750*r + 5783602500/7 = 0.
2, 195
Factor 5*r**3/3 - 2*r**2/3 - r.
r*(r - 1)*(5*r + 3)/3
Determine d so that -d**2 - 32*d = 0.
-32, 0
Determine g so that 2*g**5/3 + 100*g**4/3 + 778*g**3/3 - 880*g**2/3 = 0.
-40, -11, 0, 1
Factor 14*n**3 + 94*n**2 - 404*n - 2080.
2*(n - 5)*(n + 8)*(7*n + 26)
Let 5*x**3/2 - 76*x**2 + 205*x/2 - 29 = 0. What is x?
2/5, 1, 29
Suppose 3*m**3 - 141*m**2 - 144*m = 0. Calculate m.
-1, 0, 48
Factor r**4/3 - 940*r**3/3 + 98282*r**2 - 30958204*r/3 + 30664297/3.
(r - 313)**3*(r - 1)/3
Factor -2*d**3/9 - 14*d**2/3 - 40*d/9.
-2*d*(d + 1)*(d + 20)/9
Let -2*d**4/9 - 8*d**3/9 + 8*d**2/9 + 32*d/9 = 0. What is d?
-4, -2, 0, 2
Factor -i**3/4 - 615*i**2/2 + 3697*i/4 - 1233/2.
-(i - 2)*(i - 1)*(i + 1233)/4
Solve -4*p**5/5 - 24*p**4/5 - 36*p**3/5 - 16*p**2/5 = 0 for p.
-4, -1, 0
Let 5*j**4 + 40*j**3 - 45*j**2 = 0. What is j?
-9, 0, 1
Find l such that 20*l**4/19 + 42*l**3/19 - 16*l**2/19 - 42*l/19 - 4/19 = 0.
-2, -1, -1/10, 1
Determine q, given that -2*q**2/7 + 344*q/7 - 680/7 = 0.
2, 170
Factor -g**3/4 - 109*g**2/2 + 439*g/4 - 55.
-(g - 1)**2*(g + 220)/4
Suppose 3*t**5 + 141*t**4 - 162*t**3 - 852*t**2 + 600*t + 1152 = 0. Calculate t.
-48, -2, -1, 2
Solve -n**3 + 45*n**2 - 362*n - 2232 = 0.
-4, 18, 31
Factor -p**2/10 - 13*p/5 - 5/2.
-(p + 1)*(p + 25)/10
Factor -y**3/4 + 5*y**2/4 + y - 5.
-(y - 5)*(y - 2)*(y + 2)/4
Determine k so that 3*k**2 + 3192*k + 849072 = 0.
-532
Factor -4*x**3 - 24*x**2 - 12*x + 40.
-4*(x - 1)*(x + 2)*(x + 5)
Factor -225*r**3/4 - 285*r**2/4 - 16*r - 1.
-(r + 1)*(15*r + 2)**2/4
Find u, given that -u**5/6 - 14*u**4/3 - 49*u**3/3 - 22*u**2/3 + 33*u/2 + 12 = 0.
-24, -3, -1, 1
Let s**4/4 - 16*s**3 - 131*s**2/4 - 33*s/2 = 0. What is s?
-1, 0, 66
Determine o so that -3*o**2 + 6210*o - 3213675 = 0.
1035
Let -5*z**2 - 475*z - 4250 = 0. What is z?
-85, -10
Let -f**3/2 - 62*f**2 - 1922*f = 0. Calculate f.
-62, 0
Let 3*w**4 - 141*w**3 + 1419*w**2 - 1011*w - 2574 = 0. What is w?
-1, 2, 13, 33
Suppose -4*h**2 - 16*h + 180 = 0. What is h?
-9, 5
Solve -4*x**5 - 8*x**4 + 44*x**3 + 48*x**2 - 144*x = 0 for x.
-3, 0, 2
Suppose 450*q**5/7 + 1560*q**4 + 67688*q**3/7 + 2496*q**2 + 1152*q/7 = 0. What is q?
-12, -2/15, 0
Let -2*g**5/17 - 10*g**4/17 + 6*g**3/17 + 2*g**2 + 20*g/17 = 0. Calculate g.
-5, -1, 0, 2
Find r such that 5*r**4 - 800*r**3 + 36440*r**2 - 355200*r + 985680 = 0.
6, 74
Let z**3/2 - 25*z**2/2 + 12*z = 0. What is z?
0, 1, 24
Let -44*c**3/7 - 1096*c**2/7 - 956*c/7 + 96/7 = 0. What is c?
-24, -1, 1/11
Find f, given that 5*f**2 - 340*f + 5780 = 0.
34
Determine v, given that 5*v**3 + 85*v**2 + 70*v - 160 = 0.
-16, -2, 1
Suppose -f**5 - 8*f**4 + 60*f**3 - 70*f**2 - 59*f + 78 = 0. What is f?
-13, -1, 1, 2, 3
Suppose -2*t**2/11 + 1564*t/11 + 1566/11 = 0. Calculate t.
-1, 783
Factor -2*b**3/7 - 10*b**2/7 - 4*b/7 + 16/7.
-2*(b - 1)*(b + 2)*(b + 4)/7
Factor 3*d**5 + 78*d**4 - 342*d**3 + 528*d**2 - 357*d + 90.
3*(d - 1)**4*(d + 30)
Determine l, given that -2*l**2/5 - 1672*l/5 - 349448/5 = 0.
-418
Factor -5*u**3 - 160*u**2 - 580*u - 560.
-5*(u + 2)**2*(u + 28)
Factor 1083*f**5/4 - 3591*f**4/4 + 2151*f**3/2 - 1095*f**2/2 + 423*f/4 - 27/4.
3*(f - 1)**3*(19*f - 3)**2/4
Suppose -2*k**2/15 - 4004*k/5 - 6012006/5 = 0. What is k?
-3003
Suppose -g**3/3 + 4*g**2/3 + 41*g/3 + 12 = 0. What is g?
-4, -1, 9
Solve 48*a**4 + 112248*a**3 + 65651043*a**2 + 32804478*a + 4099683 = 0 for a.
-1169, -1/4
Factor -27*k**3/7 + 318*k**2/7 - 900*k/7 - 216/7.
-3*(k - 6)**2*(9*k + 2)/7
Suppose 3*d**2/4 + 27*d/2 - 57/4 = 0. Calculate d.
-19, 1
Factor 5*m**4 + 155*m**3 + 1345*m**2 + 2245*m + 1050.
5*(m + 1)**2*(m + 14)*(m + 15)
Find u such that 4*u**4/9 + 140*u**3/9 - 448*u**2/9 + 304*u/9 = 0.
-38, 0, 1, 2
Factor t**3/3 + 7*t**2/3 + 2*t.
t*(t + 1)*(t + 6)/3
Factor g**2 + 3790*g + 3591025.
(g + 1895)**2
Find p such that -3*p**4 - 39*p**3 - 171*p**2 - 285*p - 150 = 0.
-5, -2, -1
Solve -14*t**4 - 220*t**3 - 510*t**2 - 200*t + 104 = 0.
-13, -2, -1, 2/7
Factor u**3/3 - 2*u**2/3 - u.
u*(u - 3)*(u + 1)/3
Factor -4*t**2/3 - 24*t - 68/3.
-4*(t + 1)*(t + 17)/3
Suppose 2*q**3 - 10*q**2 + 12*q = 0. Calculate q.
0, 2, 3
Let 12*i**4 - 60*i**3 + 27*i**2 + 240*i - 300 = 0. Calculate i.
-2, 2, 5/2
Find c such that -2*c**2/3 + 988*c - 366054 = 0.
741
Factor -3*b**2/2 - 63*b - 120.
-3*(b + 2)*(b + 40)/2
Factor -3*h**3/7 + 3*h**2/7 + 18*h/7.
-3*h*(h - 3)*(h + 2)/7
Find y, given that -y**5/3 - 6*y**4 - 107*y**3/3 - 66*y**2 + 36*y + 72 = 0.
-6, -1, 1
Solve u**3 - 21*u**2 + 144*u - 320 = 0.
5, 8
Factor -2*x**2/7 - 102*x/7 - 1080/7.
-2*(x + 15)*(x + 36)/7
Factor 4*f**2 - 336*f + 332.
4*(f - 83)*(f - 1)
Determine f so that -f**5/2 + 65*f**4 - 378*f**3 + 749*f**2 - 1243*f/2 + 186 = 0.
1, 3, 124
Find a such that a**2/2 + 76*a - 153/2 = 0.
-153, 1
Solve 2*a**3 - 60*a**2 + 450*a = 0 for a.
0, 15
Factor 5*a**5 + 35*a**4 + 60*a**3.
5*a**3*(a + 3)*(a + 4)
Determine u, given that -3*u**5 - 18*u**4 - 12*u**3 + 18*u**2 + 15*u = 0.
-5, -1, 0, 1
Solve y**3/8 - 29*y**2/4 - y/2 + 29 = 0.
-2, 2, 58
Determine u so that -3*u**2 + 81*u + 84 = 0.
-1, 28
Factor -5*b**3 + 22195*b**2 - 24641995*b + 24619805.
-5*(b - 2219)**2*(b - 1)
Suppose -4*i**2 + 92*i - 240 = 0. Calculate i.
3, 20
Factor 2*v**4 - 902*v**3 + 4476*v**2 - 7144*v + 3568.
2*(v - 446)*(v - 2)**2*(v - 1)
Suppose 2*r**5/17 + 10*r**4/17 + 18*r**3/17 + 14*r**2/17 + 4*r/17 = 0. What is r?
-2, -1, 0
Factor 35*o**2 - 635*o - 570.
5*(o - 19)*(7*o + 6)
Solve z**4/9 - 19*z**3/9 + 10*z**2 - 8*z = 0.
0, 1, 6, 12
Let -3*a**3/5 + 38*a**2/5 - 143*a/5 + 168/5 = 0. Calculate a.
8/3, 3, 7
Factor -2*v**2/3 + 30*v - 172/3.
-2*(v - 43)*(v - 2)/3
Suppose 4*c**3/9 + 1232*c**2/3 - 2468*c/3 + 3704/9 = 0. Calculate c.
-926, 1
Factor -d**4/2 - 15*d**3/4 - 21*d**2/2 - 13*d - 6.
-(d + 2)**3*(2*d + 3)/4
What is g in -20*g**3/7 + 4292*g**2/7 + 10400*g/7 + 496 = 0?
-2, -2/5, 217
Factor -2*p**4 - 24*p**3 - 70*p**2 + 24*p + 72.
-2*(p - 1)*(p + 1)*(p + 6)**2
Factor -4*o**3 + 32*o**2 - 28*o.
-4*o*(o - 7)*(o - 1)
Factor -z**5 - 12*z**4 - 21*z**3 - 10*z**2.
-z**2*(z + 1)**2*(z + 10)
Factor -k**3 + 18*k**2 + 4*k - 72.
-(k - 18)*(k - 2)*(k + 2)
Determine i, given that -i**2 - 3263*i = 0.
-3263, 0
Factor 3*k**2/5 - 66*k.
3*k*(k - 110)/5
Factor -4*z**4 + 2208*z**3 - 4404*z**2 + 2200*z.
-4*z*(z - 550)*(z - 1)**2
Solve 15*i**5 + 5*i**4 - 100*i**3 + 160*i - 80 = 0.
-2, 2/3, 1, 2
Suppose 2*o**5 + 2*o**4 - 6*o**3 - 2*o**2 + 4*o = 0. What is o?
-2, -1, 0, 1
Factor 28*k**3/5 - 68*k**2/5 - 44*k - 124/5.
4*(k + 1)**2*(7*k - 31)/5
Solve 2*t**4/7 - 120*t**3/7 - 132*t**2/7 + 88*t - 366/7 = 0 for t.
-3, 1, 61
Factor -5*u**2 - 440*u - 860.
-5*(u +