 56*p**2/15 - 8*p = 0.
-5, -2, 0, 1, 6
Determine q, given that 33*q**5 - 192*q**4 + 261*q**3 - 78*q**2 - 24*q = 0.
-2/11, 0, 1, 4
Factor -p**4/3 - 374*p**3/3 - 745*p**2/3 - 124*p.
-p*(p + 1)**2*(p + 372)/3
Let l**3/7 - l**2 - 17*l/7 - 9/7 = 0. Calculate l.
-1, 9
Factor 16*q**2 - 660*q - 676.
4*(q + 1)*(4*q - 169)
Find z such that 5*z**5 - 45*z**4 - 55*z**3 + 45*z**2 + 50*z = 0.
-1, 0, 1, 10
Solve -4*g**3 + 3616*g**2 + 4*g - 3616 = 0 for g.
-1, 1, 904
Determine c so that -3*c**2/4 + 315*c/4 - 78 = 0.
1, 104
Determine u, given that -3*u**4 + 3*u**3 + 48*u**2 + 60*u = 0.
-2, 0, 5
Solve 33*m**3 + 480*m**2 + 1869*m + 882 = 0.
-7, -6/11
Factor -501*p**2/7 - 495*p/7 + 6/7.
-3*(p + 1)*(167*p - 2)/7
Factor -2*m**3 + 147*m**2 - 546*m - 695.
-(m - 5)*(m + 1)*(2*m - 139)
Factor 5*w**4 + 4745*w**3 + 4740*w**2.
5*w**2*(w + 1)*(w + 948)
Factor j**3/12 + 13*j**2/12 + 23*j/12 + 11/12.
(j + 1)**2*(j + 11)/12
Let -2*k**3/9 + 28*k**2/9 - 50*k/9 + 8/3 = 0. Calculate k.
1, 12
Determine t so that -2*t**5/3 + 50*t**4/9 - 94*t**3/9 + 62*t**2/9 - 4*t/3 = 0.
0, 1/3, 1, 6
Determine m, given that -m**3 + 50*m**2 - 49*m = 0.
0, 1, 49
Factor -3*r**2 + 2205*r.
-3*r*(r - 735)
Factor -184*b**2 - 914*b + 30.
-2*(b + 5)*(92*b - 3)
Factor 4*t**3/3 + 172*t**2/3 + 332*t/3 + 164/3.
4*(t + 1)**2*(t + 41)/3
Let -25*q**5 - 280*q**4 + 345*q**3 + 8080*q**2 + 1600*q = 0. Calculate q.
-8, -1/5, 0, 5
Factor -4*l**2/7 + 3848*l/7 - 925444/7.
-4*(l - 481)**2/7
Factor -2*n**2 + 1096*n + 1098.
-2*(n - 549)*(n + 1)
Factor -3*r**4 - 3*r**3.
-3*r**3*(r + 1)
Find w such that -5*w**4 + 220*w**3 - 2970*w**2 + 11780*w - 9025 = 0.
1, 5, 19
Solve 2*q**2 - 4932*q + 3040578 = 0 for q.
1233
Factor -7*f**2/2 - 61*f/2 + 9.
-(f + 9)*(7*f - 2)/2
Solve -9*g**2 + 2*g = 0.
0, 2/9
Factor -5*g**3 - 35*g**2 - 80*g - 60.
-5*(g + 2)**2*(g + 3)
Factor -5*l**2/4 + 45*l/4 + 55/2.
-5*(l - 11)*(l + 2)/4
Factor 9*h**2/7 + 8202*h/7 - 5472/7.
3*(h + 912)*(3*h - 2)/7
Let -s**3/2 + 29*s**2/2 - 85*s - 100 = 0. Calculate s.
-1, 10, 20
Factor 3*h**2/4 - 2721*h + 10881/4.
3*(h - 3627)*(h - 1)/4
Let -6*k**5/11 - 32*k**4/11 + 30*k**3/11 + 32*k**2/11 - 24*k/11 = 0. What is k?
-6, -1, 0, 2/3, 1
Factor -h**4 - 6*h**3 - 5*h**2.
-h**2*(h + 1)*(h + 5)
Factor 128*c**2/3 + 2*c/3.
2*c*(64*c + 1)/3
Suppose -5*h**4 - 265*h**3 - 3885*h**2 - 9875*h - 6250 = 0. What is h?
-25, -2, -1
Find t, given that 4*t**5 + 52*t**4 + 84*t**3 - 340*t**2 + 200*t = 0.
-10, -5, 0, 1
Factor 5*z**3/4 + 141*z**2/2 + 1008*z + 392.
(z + 28)**2*(5*z + 2)/4
Determine u so that -2*u**5/17 - 12*u**4/17 + 42*u**3/17 + 4*u**2 - 96*u/17 = 0.
-8, -2, 0, 1, 3
Let -m**2/2 - 3*m + 216 = 0. What is m?
-24, 18
Find l such that 3*l**5/8 - 21*l**4/8 - 27*l**3/4 - 3*l**2/4 + 51*l/8 + 27/8 = 0.
-1, 1, 9
Factor -4*h**4/7 - 492*h**3/7 - 488*h**2/7.
-4*h**2*(h + 1)*(h + 122)/7
Find i, given that -2*i**4/7 - 24*i**3/7 - 60*i**2/7 - 8*i - 18/7 = 0.
-9, -1
Suppose 3*o**4 - 9*o**3 - 81*o**2 - 39*o + 126 = 0. Calculate o.
-3, -2, 1, 7
Suppose -14*x**5/5 - 116*x**4/5 - 158*x**3/5 + 216*x**2/5 + 72*x/5 = 0. Calculate x.
-6, -3, -2/7, 0, 1
Determine y so that -5*y**2/2 - 4305*y/2 + 4315 = 0.
-863, 2
Factor 2*u**4 - 66*u**3 + 564*u**2 - 128*u - 3072.
2*(u - 16)**2*(u - 3)*(u + 2)
Factor -2*r**3/11 + 10126*r**2/11 + 20258*r/11 + 10130/11.
-2*(r - 5065)*(r + 1)**2/11
Find d, given that -3*d**3 - 270*d**2 - 2916*d - 8424 = 0.
-78, -6
Factor 15*t**3 - 36*t**2 + 12*t.
3*t*(t - 2)*(5*t - 2)
Factor 4*c**2 - 480*c + 14400.
4*(c - 60)**2
Factor 3*w**5 + 27975*w**4 + 104346750*w**3 + 194606688750*w**2 + 181470737259375*w + 67688584997746875.
3*(w + 1865)**5
Factor 6*z**2 - 14301*z/2 - 1788.
3*(z - 1192)*(4*z + 1)/2
Suppose 4*n**3/7 - 4152*n**2/7 + 1436592*n/7 - 165686944/7 = 0. What is n?
346
Factor -2*b**5/5 + 24*b**4/5 - 18*b**3 + 20*b**2.
-2*b**2*(b - 5)**2*(b - 2)/5
Factor -4*o**2 + 152*o - 288.
-4*(o - 36)*(o - 2)
Solve 3*o**2 + 600*o + 597 = 0 for o.
-199, -1
Find n, given that -n**2/6 - 590*n/3 = 0.
-1180, 0
Determine d, given that -d**4 + 41*d**3/6 + 175*d**2/6 + 74*d/3 + 10/3 = 0.
-2, -1, -1/6, 10
Find h such that 85*h**3 - 20*h**2 - 85*h + 20 = 0.
-1, 4/17, 1
Factor c**2/3 + 2440*c/3 + 1488400/3.
(c + 1220)**2/3
What is t in 2*t**4 - 2*t**3 - 8*t**2 + 8*t = 0?
-2, 0, 1, 2
Factor -4*o**3 - 288*o**2 - 5184*o.
-4*o*(o + 36)**2
Factor -t**5/3 - 44*t**4 - 5672*t**3/3 - 24390*t**2 + 87075*t - 60750.
-(t - 2)*(t - 1)*(t + 45)**3/3
Determine z so that 3*z**5/5 - 42*z**4/5 + 174*z**3/5 - 12*z**2 - 165*z + 150 = 0.
-2, 1, 5
Determine w, given that -w**5/3 - 913*w**4/3 - 92415*w**3 - 27814475*w**2/3 + 56745250*w/3 = 0.
-305, 0, 2
Factor 5*n**4 + 1920*n**3 + 276480*n**2 + 17694720*n + 424673280.
5*(n + 96)**4
Suppose j**2/3 + 841*j/3 - 562 = 0. Calculate j.
-843, 2
Factor 4*q**5 - 284*q**4 + 6576*q**3 - 44928*q**2 - 138240*q + 663552.
4*(q - 24)**3*(q - 3)*(q + 4)
Suppose 28*s**3 - 568*s**2 - 1072*s + 352 = 0. What is s?
-2, 2/7, 22
Determine i so that -2*i**5 + 16*i**4 + 90*i**3 + 72*i**2 = 0.
-3, -1, 0, 12
Factor 5*t**4 - 1240*t**3 + 76880*t**2.
5*t**2*(t - 124)**2
Factor -p**2/3 + 28*p/3 + 20.
-(p - 30)*(p + 2)/3
Let -5*j**4/3 - 5*j**3 + 5*j**2 + 35*j/3 - 10 = 0. What is j?
-3, -2, 1
What is z in 4*z**3/3 + 26*z**2/3 + 26*z/3 - 20/3 = 0?
-5, -2, 1/2
Factor 2*k**4/9 - 118*k**3/9 + 560*k**2/3 + 200*k.
2*k*(k - 30)**2*(k + 1)/9
Find h, given that 14*h**2/15 + 746*h/15 + 212/15 = 0.
-53, -2/7
Solve -2*z**3 - 1734*z**2 + 3474*z - 1738 = 0 for z.
-869, 1
Let -2*c**3/9 - 16*c**2/9 - 26*c/9 - 4/3 = 0. What is c?
-6, -1
Solve 3*f**2 - 171*f + 330 = 0 for f.
2, 55
Let 108*g**4 + 29984*g**3/5 + 81808*g**2 - 199808*g/5 + 12544/5 = 0. Calculate g.
-28, 2/27, 2/5
Let 2*q**4/15 - 2258*q**3/15 + 56550*q**2 - 105459718*q/15 - 214330532/15 = 0. What is q?
-2, 377
Factor z**3/6 - 38*z**2/3 + 143*z/2 - 105.
(z - 70)*(z - 3)**2/6
Suppose -3*h**5 + 186*h**4 - 3060*h**3 + 5400*h**2 = 0. What is h?
0, 2, 30
Determine r so that 5*r**4 + 30*r**3 + 65*r**2 + 60*r + 20 = 0.
-2, -1
Factor 4*s**4 + 4688*s**3 + 1406008*s**2 + 19000464*s + 65707236.
4*(s + 7)**2*(s + 579)**2
Find m such that -2*m**2/7 - 26*m/7 + 4 = 0.
-14, 1
Determine o, given that 27*o**5 - 138*o**4/7 - 67*o**3/7 + 12*o**2/7 + 4*o/7 = 0.
-1/3, -2/9, 0, 2/7, 1
What is u in 2*u**4/5 - 22*u**3/5 + 16*u**2/5 + 8*u = 0?
-1, 0, 2, 10
Factor 4*y**4 - 64*y**3 + 276*y**2 - 360*y.
4*y*(y - 10)*(y - 3)**2
Factor -5*u**5/2 - 615*u**4/2 - 19815*u**3/2 - 55805*u**2/2 - 27300*u - 9000.
-5*(u + 1)**3*(u + 60)**2/2
Solve t**2 - 1000*t + 999 = 0.
1, 999
Let 74*r**3/7 + 2742*r**2/7 + 2812*r/7 + 144/7 = 0. What is r?
-36, -1, -2/37
Solve c**2 + 202*c + 400 = 0.
-200, -2
Determine u, given that -2*u**3 + 218*u**2 + 220*u = 0.
-1, 0, 110
Suppose 5*l**4 - 15*l**2 - 10*l = 0. What is l?
-1, 0, 2
Factor -2*q**2 - 872*q - 1736.
-2*(q + 2)*(q + 434)
Determine z, given that -2*z**3/5 + 9*z**2/2 - 11*z/10 = 0.
0, 1/4, 11
Factor -2*q**2 - 3602*q + 3604.
-2*(q - 1)*(q + 1802)
Determine t so that 2*t**3/7 - 38*t**2/7 + 68*t/7 = 0.
0, 2, 17
Find a such that 3*a**2 - 9*a - 30 = 0.
-2, 5
Determine y, given that -2*y**4 - 48*y**3 - 332*y**2 - 528*y - 242 = 0.
-11, -1
Determine p, given that -147*p**3/2 - 77*p**2/4 + p/2 = 0.
-2/7, 0, 1/42
Factor 2*x**4/17 - 110*x**3/17 + 108*x**2/17.
2*x**2*(x - 54)*(x - 1)/17
Factor 4*o**2 - 76*o + 136.
4*(o - 17)*(o - 2)
Suppose 5*p**5 + 5*p**4 - 30*p**3 = 0. Calculate p.
-3, 0, 2
Factor 3*q**3/2 - 21*q**2 + 147*q/2.
3*q*(q - 7)**2/2
What is r in -3*r**5/7 + 30*r**4/7 + 12*r**3 - 138*r**2/7 - 81*r/7 + 108/7 = 0?
-3, -1, 1, 12
Determine i, given that 5*i**2 - 565*i - 4840 = 0.
-8, 121
Factor -2*i**4 + 6*i**2 - 4*i.
-2*i*(i - 1)**2*(i + 2)
Factor -2*a**4/3 - 4*a**3 - 6*a**2.
-2*a**2*(a + 3)**2/3
Let -3*m**5/2 - 69*m**4/8 + 291*m**3/4 - 1149*m**2/8 + 195*m/2 - 33/2 = 0. What is m?
-11, 1/4, 1, 2
Factor -4*d**3/7 + 48*d**2/7 - 12*d - 56.
-4*(d - 7)**2*(d + 2)/7
Let -2*t**3/9 - 14*t**2/3 - 26*t/3 - 38/9 = 0. Calculate t.
-19, -1
Determine p so that 2*p**4/3 + 4*p**3 - 2*p**2 - 40*p/3 - 8 = 0.
-6, -1, 2
Let 3*r**4/2 - 5*r**3 - 210*r**2 + 285*r - 143/2 = 0. What is r?
-11, 1/3, 1, 13
Find l, given that 14*l**5/11 - 633*l**4/11 - 182*l**3/11 = 0.
-2/7, 0, 91/2
Factor -2*n**2/5 + 204*n/5 - 80.
-2*(n - 100)*(n - 2)/5
Solve 7*l**3/2 + 421*l**2 + 120*l = 0.
-120, -2/7, 0
Solve