 8253 = 0.
-21, 131
Factor -4*n**2/3 + 140*n + 856/3.
-4*(n - 107)*(n + 2)/3
Factor 3*x**2 + 75*x.
3*x*(x + 25)
Determine k so that -5*k**4 - 130*k**3 - 300*k**2 + 1170*k + 3105 = 0.
-23, -3, 3
Determine q, given that 2*q**5 - 80*q**4 + 716*q**3 + 1680*q**2 + 882*q = 0.
-1, 0, 21
Factor 4*q**2 + 2672*q + 446224.
4*(q + 334)**2
Factor -9*j**2/5 + 17826*j/5 + 5943/5.
-3*(j - 1981)*(3*j + 1)/5
Factor -5*d**3 - 2670*d**2 + 5*d + 2670.
-5*(d - 1)*(d + 1)*(d + 534)
Let 21*o**5 - 153*o**4 - 420*o**3 + 720*o**2 + 1344*o - 432 = 0. What is o?
-2, 2/7, 2, 9
Determine h, given that -h**2 + 2*h = 0.
0, 2
Let 2*a**5/5 - 2*a**4 + 14*a**3/5 - 6*a**2/5 = 0. What is a?
0, 1, 3
Solve -2*j**3 - 100*j**2 + 326*j + 424 = 0.
-53, -1, 4
Factor 8*k**3/5 + 38*k**2/5 - 58*k/5 + 12/5.
2*(k - 1)*(k + 6)*(4*k - 1)/5
Factor 15*p**3 - 219*p**2 + 300*p + 156.
3*(p - 13)*(p - 2)*(5*p + 2)
Factor u**5 - 9*u**4 - 22*u**3.
u**3*(u - 11)*(u + 2)
Factor -3*u**2/2 + 39*u/2 - 33.
-3*(u - 11)*(u - 2)/2
Factor -5*w**3/2 + 65*w**2/2 - 25*w - 60.
-5*(w - 12)*(w - 2)*(w + 1)/2
Let -6*h**4/5 + 5*h**3 - 7*h**2/5 - 38*h/5 = 0. Calculate h.
-1, 0, 2, 19/6
Factor 2*z**5 - 12*z**4 - 6*z**3 + 40*z**2 - 24*z.
2*z*(z - 6)*(z - 1)**2*(z + 2)
Let -28*x**4 + 11416*x**3 - 42096*x**2 + 32288*x + 12928 = 0. Calculate x.
-2/7, 2, 404
Factor r**5/3 - 8*r**4.
r**4*(r - 24)/3
Factor -4*l**3 - 308*l**2 - 604*l - 300.
-4*(l + 1)**2*(l + 75)
Solve -3*a**4/5 + 48*a**3/5 + 123*a**2/5 - 252*a/5 - 324/5 = 0 for a.
-3, -1, 2, 18
Suppose -5*s**5 + 290*s**4 - 6285*s**3 + 60320*s**2 - 216320*s = 0. What is s?
0, 13, 16
Suppose t**5/7 + t**4/7 - 5*t**3/7 + 3*t**2/7 = 0. What is t?
-3, 0, 1
Suppose -5*l**3 - 2370*l**2 - 276045*l + 1142420 = 0. What is l?
-239, 4
What is d in 51*d**3 + 3*d**2 = 0?
-1/17, 0
What is o in 2*o**4 - 148*o**3 + 2736*o**2 + 148*o - 2738 = 0?
-1, 1, 37
Let 2*l**3/19 + 382*l**2/19 + 18048*l/19 - 18432/19 = 0. Calculate l.
-96, 1
Determine y so that -y**4 - 8*y**3 + 25*y**2 + 44*y - 60 = 0.
-10, -2, 1, 3
Determine a so that -2*a**5/7 - 8*a**4 + 464*a**3/7 - 916*a**2/7 - 174*a/7 + 180 = 0.
-35, -1, 2, 3
Factor g**3/4 - g**2/4 - g/4 + 1/4.
(g - 1)**2*(g + 1)/4
Suppose -32*b**5/9 + 3206*b**4/9 - 8216*b**3 - 319048*b**2/9 - 283712*b/9 + 21632/3 = 0. What is b?
-2, 3/16, 52
Determine m, given that -m**2/5 + 2123*m/5 + 850 = 0.
-2, 2125
Solve a**5/8 - 37*a**4/4 - 387*a**3/8 - 157*a**2/2 - 79*a/2 = 0 for a.
-2, -1, 0, 79
Let 36*h**3 - 872*h**2/3 + 1360*h/3 - 32 = 0. What is h?
2/27, 2, 6
Determine a so that 4*a**5 - 88*a**4 + 768*a**3 - 3328*a**2 + 7168*a - 6144 = 0.
4, 6
Let 4*w**4 - 208*w**3 + 204*w**2 = 0. Calculate w.
0, 1, 51
Factor 4*z**3/5 - 688*z**2/5 + 6864*z - 389376/5.
4*(z - 78)**2*(z - 16)/5
Factor -r**2/2 + 726*r - 263538.
-(r - 726)**2/2
Determine t so that -4*t**3/5 + 16*t**2/5 + 332*t - 1672/5 = 0.
-19, 1, 22
Determine v, given that 3*v**5/2 - 63*v**4/8 + 3*v**3 + 213*v**2/8 - 153*v/4 + 15 = 0.
-2, 1, 5/4, 4
Determine d, given that d**2/3 + 58*d - 175/3 = 0.
-175, 1
Let 2*o**3/13 - 28*o**2 + 18232*o/13 - 147920/13 = 0. Calculate o.
10, 86
Factor 3*q**2/5 - 42*q + 735.
3*(q - 35)**2/5
Determine j so that -4*j**3 + 92*j**2 + 104*j - 192 = 0.
-2, 1, 24
Suppose -2*h**5 - 60*h**4 - 168*h**3 - 164*h**2 - 54*h = 0. Calculate h.
-27, -1, 0
Determine p, given that 3*p**4 - 60*p**3 - 3*p**2 + 60*p = 0.
-1, 0, 1, 20
Determine c, given that -2*c**2 + 166*c/3 + 56/3 = 0.
-1/3, 28
Factor 4*i**3 + 8*i**2 - 116*i - 120.
4*(i - 5)*(i + 1)*(i + 6)
Let -2*h**2 - 82*h - 576 = 0. What is h?
-32, -9
Solve -o**3/5 - 176*o**2/5 + 107*o - 358/5 = 0 for o.
-179, 1, 2
Determine f so that -3*f**2/7 - 429*f/7 + 870/7 = 0.
-145, 2
Factor 2*o**2/11 + 4*o + 240/11.
2*(o + 10)*(o + 12)/11
Suppose 2*z**4/3 - 457*z**3/3 + 8740*z**2 - 4332*z = 0. What is z?
0, 1/2, 114
Find k such that -1681*k**5 + 55309*k**4 + 121397*k**3 + 70283*k**2 + 6016*k + 140 = 0.
-1, -2/41, 35
Suppose -3*c**3/5 + 9*c**2/5 + 63*c - 1617/5 = 0. Calculate c.
-11, 7
Factor 2*g**2 + 26*g + 60.
2*(g + 3)*(g + 10)
Factor -2*t**2/9 - 520*t/9 - 344/3.
-2*(t + 2)*(t + 258)/9
Factor -2*d**4/3 + 1290*d**3 - 623392*d**2 - 1874048*d/3.
-2*d*(d - 968)**2*(d + 1)/3
Find c such that 3*c**5/8 - 87*c**4/8 - 189*c**3/4 - 291*c**2/4 - 393*c/8 - 99/8 = 0.
-1, 33
What is n in 2*n**4 + 8*n**3 + 6*n**2 = 0?
-3, -1, 0
What is y in -3*y**2/2 - 51*y/4 + 45/2 = 0?
-10, 3/2
Let 4*r**5/7 - 108*r**4/7 + 200*r**3/7 + 8*r**2/7 - 204*r/7 + 100/7 = 0. What is r?
-1, 1, 25
Determine r so that -2*r**3/3 - 20*r**2/3 - 64*r/3 - 64/3 = 0.
-4, -2
Determine n so that 3*n**3 + 132*n**2 - 12*n - 528 = 0.
-44, -2, 2
Find w, given that -2*w**2 + 138*w + 140 = 0.
-1, 70
Factor 27*t**3 + 14544*t**2 + 9687*t + 1614.
3*(t + 538)*(3*t + 1)**2
Let 3*f**5/5 - 108*f**4/5 - 144*f**3 - 1482*f**2/5 - 1251*f/5 - 378/5 = 0. Calculate f.
-3, -1, 42
Solve b**3/2 + 55*b**2/2 + 27*b = 0.
-54, -1, 0
Solve 8*x**3/5 + 11408*x**2/5 - 11414*x/5 + 2854/5 = 0 for x.
-1427, 1/2
Factor q**3/3 + 4*q**2/3 - 19*q/3 + 14/3.
(q - 2)*(q - 1)*(q + 7)/3
Solve i**5/4 + 4*i**4 + 21*i**3/2 + 10*i**2 + 13*i/4 = 0 for i.
-13, -1, 0
Factor -s**2/2 - 153*s/2 + 77.
-(s - 1)*(s + 154)/2
Factor -c**3/4 - 29*c**2/4 + c + 29.
-(c - 2)*(c + 2)*(c + 29)/4
Factor -k**4 - 35*k**3 + 528*k**2 - 1692*k.
-k*(k - 6)**2*(k + 47)
Suppose -3*j**5 + 30*j**4 - 108*j**3 + 162*j**2 - 81*j = 0. What is j?
0, 1, 3
Factor 2*w**2/7 - 11388*w/7.
2*w*(w - 5694)/7
Let -4*l**3 - 32*l**2 + 4*l + 32 = 0. What is l?
-8, -1, 1
Solve i**4 + 55*i**3 + 669*i**2 - 2407*i + 1682 = 0 for i.
-29, 1, 2
Factor c**2/2 - 14*c - 29/2.
(c - 29)*(c + 1)/2
Factor -3*p**3 - 27*p**2 + 63*p - 33.
-3*(p - 1)**2*(p + 11)
Determine s so that 4*s**3 + 156*s**2 - 1960*s = 0.
-49, 0, 10
Solve -2*x**3 - 70*x**2 - 750*x - 2250 = 0 for x.
-15, -5
Suppose 4*m**2 + 88*m + 84 = 0. Calculate m.
-21, -1
What is t in 10*t**4 - 206*t**3 - 534*t**2 + 20070*t + 8100 = 0?
-9, -2/5, 15
Suppose -12*d**5/7 - 5*d**4/7 + 5*d**3 + 40*d**2/7 + 12*d/7 = 0. Calculate d.
-1, -3/4, -2/3, 0, 2
Find l such that -l**3/3 + 4*l**2 - 3*l - 22/3 = 0.
-1, 2, 11
Determine k so that 3*k**2 - 342*k = 0.
0, 114
Suppose 2*k**2/11 - 332*k/11 - 334/11 = 0. What is k?
-1, 167
Solve -3*t**5 - 132*t**4 - 1290*t**3 + 4152*t**2 + 11661*t + 6348 = 0 for t.
-23, -1, 4
Find d such that d**2/5 - d/5 - 2/5 = 0.
-1, 2
Find u such that 6*u**4 - 288*u**3/5 - 168*u**2 - 288*u/5 = 0.
-2, -2/5, 0, 12
Factor -2*p**4 + 6*p**3 - 8*p.
-2*p*(p - 2)**2*(p + 1)
Suppose j**2/6 + 56*j/3 + 109/2 = 0. What is j?
-109, -3
What is u in 4*u**3 - 200*u**2 + 2500*u = 0?
0, 25
Factor -p**5 - 6*p**4 - 13*p**3 - 12*p**2 - 4*p.
-p*(p + 1)**2*(p + 2)**2
Factor -l**2 - 7*l - 12.
-(l + 3)*(l + 4)
Factor 3*w**4 - 6*w**3 - 84*w**2 - 138*w - 63.
3*(w - 7)*(w + 1)**2*(w + 3)
Suppose -4*h**5/7 - 16*h**4/7 - 12*h**3/7 + 16*h**2/7 + 16*h/7 = 0. Calculate h.
-2, -1, 0, 1
Factor m**3/5 + 6*m**2/5 - 3*m + 8/5.
(m - 1)**2*(m + 8)/5
Find c such that -2*c**2 + 94*c = 0.
0, 47
Factor 2*m**3/9 + 274*m**2/3 + 37538*m/3 + 5142706/9.
2*(m + 137)**3/9
Factor -3*l**3 + 621*l**2 + 5187*l - 5805.
-3*(l - 215)*(l - 1)*(l + 9)
Factor -3*g**2 + 2589*g - 5166.
-3*(g - 861)*(g - 2)
Determine p so that -9*p**4/2 - 7*p**3/4 + 19*p**2/4 + 7*p/4 - 1/4 = 0.
-1, -1/2, 1/9, 1
Factor -3*z**5/2 + 429*z**4 - 3780*z**3 + 11259*z**2 - 22437*z/2.
-3*z*(z - 277)*(z - 3)**3/2
Determine f, given that -8*f**5 + 4126*f**4 - 797736*f**3 + 68494356*f**2 - 2198209536*f - 553845762 = 0.
-1/4, 129
Determine s so that 27*s**5 + 39*s**4 - 46*s**3 - 28*s**2 + 8*s = 0.
-2, -2/3, 0, 2/9, 1
Suppose -4*s**4/7 + 60*s**3/7 + 4*s**2/7 - 2988*s/7 + 1296 = 0. Calculate s.
-7, 4, 9
Suppose 2*g**5 - 4*g**4 - 28*g**3 - 16*g**2 + 26*g + 20 = 0. What is g?
-2, -1, 1, 5
Factor 2*m**2 - 80*m - 82.
2*(m - 41)*(m + 1)
Factor 323*v**2 + 321*v - 2.
(v + 1)*(323*v - 2)
Factor 4*i**5/3 + 12*i**4 + 80*i**3/3.
4*i**3*(i + 4)*(i + 5)/3
Find s such that 4*s**2 - 40*s + 64 = 0.
2, 8
Factor -5*t**2 - 500*t - 1920.
-5*(t + 4)*(t + 96)
Find b such that -2*b**5/13 - 2*b**4/13 + 8*b**3/13 + 8*b**2/13 = 0.
-2, -1, 0, 2
Let -j**2/3 + 34*j/3 + 35/3 = 0. What is j?
-1, 35
Factor 5*t**5 - 20*t**3 + 10*t**2 + 15*t - 10.
5*(t - 1)**3*(t + 1)*(t + 2)
What is n in n**3/5 + 39*n**2/5 + 194*n/5 - 192 = 0?
-32, -10, 3
Factor a**2 - 1212*a + 367236.
(a - 6