-2*p**3/5 - 414*p**2/5 - 4326*p - 21218/5 = 0.
-103, -1
Factor -3*b**3/4 - 843*b**2/2 - 3351*b/4 + 1260.
-3*(b - 1)*(b + 3)*(b + 560)/4
Suppose 5*h**2 - 220*h - 960 = 0. Calculate h.
-4, 48
Let 22*k**2 + 564*k = 0. Calculate k.
-282/11, 0
Find q such that -2*q**2/19 + 20*q/19 - 32/19 = 0.
2, 8
Factor 4*z**5 + 36*z**4 + 116*z**3 + 156*z**2 + 72*z.
4*z*(z + 1)*(z + 2)*(z + 3)**2
Factor -3*c**5 + 15*c**4 - 24*c**3 + 12*c**2.
-3*c**2*(c - 2)**2*(c - 1)
Factor -v**2/6 - 478*v/3 - 114242/3.
-(v + 478)**2/6
Factor -w**4/3 - 16*w**3/3 - 79*w**2/3 - 28*w + 60.
-(w - 1)*(w + 5)*(w + 6)**2/3
What is v in v**2 - 8024*v + 16096144 = 0?
4012
Determine l, given that -l**5/4 + l**4/4 + l**3 - l**2 = 0.
-2, 0, 1, 2
Solve -315*l**5 - 2720*l**4 + 7685*l**3 - 5530*l**2 + 880*l = 0 for l.
-11, 0, 2/9, 1, 8/7
Suppose -2*d**4/7 - 8*d**3/7 + 6*d**2/7 + 4*d + 16/7 = 0. Calculate d.
-4, -1, 2
Factor -x**4/3 + 157*x**3/3 + 640*x**2/3 + 644*x/3.
-x*(x - 161)*(x + 2)**2/3
Determine h, given that 8*h**4/11 - 6*h**3/11 - 130*h**2/11 + 96*h/11 + 32/11 = 0.
-4, -1/4, 1, 4
What is w in -5*w**5/4 - 183*w**4/4 + 499*w**3/4 + 1215*w**2/4 + 113*w/2 - 78 = 0?
-39, -1, 2/5, 4
Factor -14*l**2/9 - 472*l/9 + 136/9.
-2*(l + 34)*(7*l - 2)/9
What is v in 4*v**5 - 196*v**4 + 1548*v**3 - 4444*v**2 + 5008*v - 1920 = 0?
1, 3, 4, 40
Let -3*i**3 - 4626*i**2 - 1783323*i = 0. What is i?
-771, 0
Factor 5*d**4 + 175*d**3 + 1615*d**2 + 1445*d.
5*d*(d + 1)*(d + 17)**2
Determine f, given that -21*f**3 - 36*f**2 - 9*f + 6 = 0.
-1, 2/7
Factor 2*j**3/13 + 384*j**2/13 - 776*j/13.
2*j*(j - 2)*(j + 194)/13
Determine l, given that -l**4/5 + 2*l**3 - 3*l**2/5 - 166*l/5 + 56 = 0.
-4, 2, 5, 7
Factor o**2/3 + 6*o + 32/3.
(o + 2)*(o + 16)/3
Factor k**3 + 150*k**2 - 303*k + 152.
(k - 1)**2*(k + 152)
Factor 2*i**3 + 236*i**2 - 968*i + 976.
2*(i - 2)**2*(i + 122)
Suppose 2*m**4 - 6*m**3 - 32*m**2 - 24*m = 0. What is m?
-2, -1, 0, 6
Suppose -15*f**4 - 3950*f**3 + 2655*f**2 + 3950*f - 2640 = 0. What is f?
-264, -1, 2/3, 1
Factor -3*b**3 + 2115*b**2 - 371709*b - 373827.
-3*(b - 353)**2*(b + 1)
Factor -w**2 - 74*w.
-w*(w + 74)
Suppose -4*z**2 - 259*z + 65 = 0. Calculate z.
-65, 1/4
Factor 5*k**5 + 44*k**4 + 96*k**3 + 74*k**2 + 11*k - 6.
(k + 1)**3*(k + 6)*(5*k - 1)
Let -5*o**3 + 2385*o**2 - 379215*o + 20098395 = 0. What is o?
159
Factor 4*z**4/3 - 11*z**3/3 - 43*z**2/3 - 10*z/3.
z*(z - 5)*(z + 2)*(4*z + 1)/3
Solve -a**3 - 262*a**2 - 259*a + 522 = 0 for a.
-261, -2, 1
Let -4*t**4 + 72*t**3 - 388*t**2 + 576*t - 256 = 0. Calculate t.
1, 8
Suppose -2*d**3/7 + 2*d**2/7 + 52*d/7 + 48/7 = 0. Calculate d.
-4, -1, 6
Find o such that 2*o**4 + 444*o**3 + 33288*o**2 + 873956*o + 2334102 = 0.
-73, -3
Factor -3*a**5/7 + 120*a**4/7 - 1740*a**3/7 + 11280*a**2/7 - 4800*a + 5376.
-3*(a - 14)**2*(a - 4)**3/7
Determine d so that 3*d**2 - 69*d - 324 = 0.
-4, 27
Suppose -m**4/4 + 62*m**3 - 2175*m**2/4 + 1438*m - 956 = 0. What is m?
1, 4, 239
Factor 4*z**5 + 100*z**4 - 324*z**3 + 332*z**2 - 112*z.
4*z*(z - 1)**3*(z + 28)
Suppose 2*a**4/5 + 374*a**3/5 + 3534*a**2 + 17298*a/5 = 0. Calculate a.
-93, -1, 0
Factor -4*i**2 + 152*i - 1408.
-4*(i - 22)*(i - 16)
Factor -4*f**4/7 + 8*f**3/7 + 4*f**2/7 - 8*f/7.
-4*f*(f - 2)*(f - 1)*(f + 1)/7
Suppose -x**2/2 - x/2 + 6 = 0. What is x?
-4, 3
Solve -s**3/4 - 21*s**2/4 - 147*s/4 - 343/4 = 0.
-7
Factor -2*l**2 - 68*l + 222.
-2*(l - 3)*(l + 37)
Factor v**4 - 35*v**3 - 474*v**2 - 1444*v - 1288.
(v - 46)*(v + 2)**2*(v + 7)
Let -4*q**2 - 2440*q - 372100 = 0. Calculate q.
-305
Factor 3*v**2/7 + 156*v/7 + 135.
3*(v + 7)*(v + 45)/7
Factor 3*a**3/4 - 1231*a**2/2 + 126485*a - 84050.
(a - 410)**2*(3*a - 2)/4
Let -d**2/5 - 7*d - 60 = 0. What is d?
-20, -15
Suppose -33*n**4 + 126*n**3 - 108*n**2 - 24*n = 0. What is n?
-2/11, 0, 2
Find u, given that -2*u**2/11 - 12*u/11 - 10/11 = 0.
-5, -1
Factor -159014*u**3 + 22188*u**2 - 1032*u + 16.
-2*(43*u - 2)**3
Find n, given that 14*n**4 + 12*n**3 - 42*n**2 - 8*n + 24 = 0.
-2, -6/7, 1
Factor -4*z**5 + 1744*z**4 + 3500*z**3 + 1752*z**2.
-4*z**2*(z - 438)*(z + 1)**2
Factor 2*u**2/5 - 52*u/5 + 48.
2*(u - 20)*(u - 6)/5
Find t, given that 54*t**2/5 + 6*t/5 = 0.
-1/9, 0
Let 4*z**3/7 + 36*z**2/7 + 96*z/7 + 64/7 = 0. What is z?
-4, -1
What is s in -15*s**4/7 + 179*s**3/7 + 432*s**2/7 + 4*s = 0?
-2, -1/15, 0, 14
Factor 2*t**3 - 74*t**2 + 208*t - 136.
2*(t - 34)*(t - 2)*(t - 1)
Find z, given that -z**2/4 - 211*z/4 - 209/2 = 0.
-209, -2
Suppose -3*g**4 - 99*g**3/5 - 99*g**2/5 + 123*g/5 + 18 = 0. Calculate g.
-5, -2, -3/5, 1
Determine b so that b**5/6 - b**4/3 - 2*b**3 - 7*b**2/3 - 5*b/6 = 0.
-1, 0, 5
Solve -z**2/4 + 489*z/4 - 122 = 0 for z.
1, 488
Factor 4*y**3 - 96*y**2 + 576*y.
4*y*(y - 12)**2
Factor 4*l**2/7 - 4096*l/7 + 1048576/7.
4*(l - 512)**2/7
Find i such that 3*i**2 + 211*i - 142 = 0.
-71, 2/3
Factor x**3/2 - 12*x**2 - 79*x/2 - 27.
(x - 27)*(x + 1)*(x + 2)/2
Let -k**3 + 207*k**2 - 11016*k + 31212 = 0. What is k?
3, 102
Solve -5*k**3 - 600*k**2 - 10395*k = 0 for k.
-99, -21, 0
Factor -5*n**3 + 1415*n**2 + 5720*n + 5740.
-5*(n - 287)*(n + 2)**2
Solve 98*p**3 + 1736*p**2 + 7688*p = 0.
-62/7, 0
Factor -s**5/9 - 79*s**4/9 + 161*s**3/9 - 9*s**2.
-s**2*(s - 1)**2*(s + 81)/9
Let 5*r**4 - 40*r**3 + 115*r**2 - 140*r + 60 = 0. What is r?
1, 2, 3
Factor 4*i**2 - 3584*i.
4*i*(i - 896)
Let -3*h**5/4 - 3*h**4 + 33*h**3/4 - 9*h**2/2 = 0. Calculate h.
-6, 0, 1
Determine c so that -c**2 + 1382*c - 477481 = 0.
691
Determine u, given that 3*u**2/2 + 78*u + 1014 = 0.
-26
Find h such that 34*h**3 + 166*h**2 + 116*h - 16 = 0.
-4, -1, 2/17
Let 2*u**5/3 - 10*u**4/3 + 10*u**3/3 + 10*u**2/3 - 4*u = 0. Calculate u.
-1, 0, 1, 2, 3
Factor -i**2/3 - 40*i/3 - 48.
-(i + 4)*(i + 36)/3
Factor -4*i**3/5 + 92*i**2/5 + 36*i/5 - 828/5.
-4*(i - 23)*(i - 3)*(i + 3)/5
Factor -2*q**3/7 + 12*q**2/7 - 22*q/7 + 12/7.
-2*(q - 3)*(q - 2)*(q - 1)/7
Suppose 2*b**2/9 - 2*b/9 - 112/9 = 0. What is b?
-7, 8
Solve -4*r**5 + 20*r**4 - 32*r**3 + 16*r**2 = 0 for r.
0, 1, 2
Factor 5*i**2 - 505*i + 500.
5*(i - 100)*(i - 1)
Let -3*n**4 - 183*n**3 + 375*n**2 - 189*n = 0. What is n?
-63, 0, 1
Solve f**5/2 - 7*f**4/2 + 15*f**3/2 - 13*f**2/2 + 2*f = 0.
0, 1, 4
Factor i**2/4 - 61*i/4 - 31/2.
(i - 62)*(i + 1)/4
Let -a**5/2 + 5*a**4/2 + 5*a**3/2 - 25*a**2/2 - 20*a - 8 = 0. Calculate a.
-1, 4
Find x, given that x**3/3 - 94*x**2 = 0.
0, 282
Find d, given that 10*d**2 + 64*d + 24 = 0.
-6, -2/5
Find a, given that -2*a**5 - 4*a**4 + 2*a**3 + 4*a**2 = 0.
-2, -1, 0, 1
Determine t, given that 2*t**2/9 + 64*t/3 - 392/9 = 0.
-98, 2
Factor 37644421500*l**3 + 37088100*l**2 + 12180*l + 4/3.
4*(3045*l + 1)**3/3
Find w, given that w**5/10 - 17*w**4/10 - w**3/10 + 17*w**2/10 = 0.
-1, 0, 1, 17
Determine d, given that 2*d**5/3 - 8*d**3/3 - 4*d**2/3 + 2*d + 4/3 = 0.
-1, 1, 2
Factor 4*s**4 + 40*s**3 + 84*s**2 - 16*s - 112.
4*(s - 1)*(s + 2)**2*(s + 7)
Factor 4*x**4 + 20*x**3 + 8*x**2 - 80*x - 96.
4*(x - 2)*(x + 2)**2*(x + 3)
Find c, given that 3087*c**4 - 9429*c**3 + 6666*c**2 - 300*c - 24 = 0.
-2/49, 2/21, 1, 2
Suppose -x**2/6 + 257*x/6 - 85 = 0. Calculate x.
2, 255
Factor 5*k**2 + 5*k - 10.
5*(k - 1)*(k + 2)
What is s in -4*s**4 - 312*s**3 - 864*s**2 + 2680*s - 1500 = 0?
-75, -5, 1
Factor -2*i**2/5 - 1336*i/15 - 296/5.
-2*(i + 222)*(3*i + 2)/15
What is y in -3*y**4 + 33*y**3 + 210*y**2 - 1176*y = 0?
-7, 0, 4, 14
Let 2*f**3/13 + 20*f**2/13 + 18*f/13 = 0. What is f?
-9, -1, 0
Factor -5*b**3 + 790*b**2 + 3220*b + 3240.
-5*(b - 162)*(b + 2)**2
Determine k, given that -169*k**5 + 455*k**4 + 1673*k**3 + 1325*k**2 + 296*k + 20 = 0.
-1, -2/13, 5
Determine q so that q**3 + 82*q**2 - 1719*q + 8100 = 0.
-100, 9
Let 4*u**5 - 20*u**4 - 24*u**3 + 88*u**2 + 148*u + 60 = 0. What is u?
-1, 3, 5
Factor -2*y**4 + 60*y**3 - 554*y**2 + 1560*y - 1352.
-2*(y - 13)**2*(y - 2)**2
Factor -3*v**4/2 + 183*v**3 + 5565*v**2/2 + 9996*v.
-3*v*(v - 136)*(v + 7)**2/2
Let 5*g**3 + 145*g**2 + 360*g - 11340 = 0. What is g?
-18, 7
Factor h**3/8 - 50*h**2 + 40397*h/8 - 39601/4.
(h - 199)**2*(h - 2)/8
Solve -2*j**4 + 4*j**3 + 18*j**2 - 4*j - 16 = 0 for j.
-2, -1, 1, 4
Factor -4*u**3/3 + u**2/3.
-u**2*(4*u - 1)/3
Determine m, given that -3*m**5/5 + 78*m**4/5 + 252*m**3/5 + 258*m**2/5 + 87*m/5 = 0.
-1, 0, 29
Determine k so that -k**4/4 + 71*k**3 - 15123*k**2/2 + 357911*k - 25411681/4 = 0.
71
Factor -2*