/7.
-2*w*(w - 6)*(w - 1)/7
Solve -5*l**4 + 40*l**3 - 105*l**2 + 90*l = 0 for l.
0, 2, 3
Determine d so that d**4/2 - 11*d**3/2 + 27*d**2/2 - 25*d/2 + 4 = 0.
1, 8
Factor -2*m**2/3 - 200*m/3 + 2184.
-2*(m - 26)*(m + 126)/3
Solve 2*u**4/11 - 12*u**3 + 2306*u**2/11 - 384*u + 2048/11 = 0.
1, 32
Factor 2*o**3/11 - 46*o**2/11 + 78*o/11 + 126/11.
2*(o - 21)*(o - 3)*(o + 1)/11
Suppose -2*y**3/3 - 32*y**2/3 - 110*y/3 + 48 = 0. What is y?
-9, -8, 1
Find d such that -2*d**3 + 124*d**2 + 126*d = 0.
-1, 0, 63
Solve -16*c**4 - 44*c**3 - 36*c**2 - 4*c + 4 = 0 for c.
-1, 1/4
Factor 4*j**5 + 12*j**4 - 92*j**3 + 132*j**2 - 56*j.
4*j*(j - 2)*(j - 1)**2*(j + 7)
What is o in 15*o**3 - 1248*o**2 - 1011*o + 252 = 0?
-1, 1/5, 84
What is u in 4*u**3 + 1404*u**2 + 2796*u + 1396 = 0?
-349, -1
Factor -2*a**5/3 - 218*a**4/3 - 284*a**3 - 1268*a**2/3 - 842*a/3 - 70.
-2*(a + 1)**4*(a + 105)/3
Factor -2*m**2/17 - 86*m/17 - 660/17.
-2*(m + 10)*(m + 33)/17
Factor -3*s**3 - 9*s**2 + 12.
-3*(s - 1)*(s + 2)**2
Determine t so that -t**4/6 - 6*t**3 + 176*t**2/3 = 0.
-44, 0, 8
Factor -2*w**5/3 - 4*w**4/3 - 2*w**3/3.
-2*w**3*(w + 1)**2/3
What is l in -3*l**2 + 396*l + 804 = 0?
-2, 134
Find r, given that 3*r**2 - 972*r + 5724 = 0.
6, 318
Solve -6*f**5/13 - 4*f**4 - 134*f**3/13 - 128*f**2/13 - 40*f/13 = 0.
-5, -2, -1, -2/3, 0
What is p in p**5 + 2*p**4 - 20*p**3 - 8*p**2 + 128*p - 128 = 0?
-4, 2
Determine w, given that -2*w**3/9 + 4*w**2/9 = 0.
0, 2
Factor -2*t**4 + 16*t**3 - 36*t**2 + 32*t - 10.
-2*(t - 5)*(t - 1)**3
Find v, given that -5*v**4 + 3465*v**3 + 3470*v**2 = 0.
-1, 0, 694
Let -9*r**3/5 - 439*r**2/5 + 548*r/5 - 20 = 0. Calculate r.
-50, 2/9, 1
Suppose 5*t**4 - 55*t**3 + 170*t**2 - 120*t = 0. What is t?
0, 1, 4, 6
Determine i, given that -4*i**4/7 + 32*i**3/7 - 36*i**2/7 - 72*i/7 = 0.
-1, 0, 3, 6
Factor -5*v**4 + 295*v**3 + 300*v**2.
-5*v**2*(v - 60)*(v + 1)
Suppose 2*x**5/13 - 2*x**4/13 - 18*x**3/13 + 10*x**2/13 + 32*x/13 - 24/13 = 0. Calculate x.
-2, 1, 3
Factor p**3 - 651*p**2 + 141267*p - 10218313.
(p - 217)**3
Factor h**5 - 29*h**4 + 95*h**3 + 125*h**2.
h**2*(h - 25)*(h - 5)*(h + 1)
Solve -3*u**3/4 - 315*u**2/4 - 8109*u/4 + 8427/4 = 0.
-53, 1
Determine r so that -3*r**4/4 + 3*r**3/8 + 99*r**2/8 - 27*r/8 - 405/8 = 0.
-3, -5/2, 3
Find l, given that -3*l**2 - 45*l + 462 = 0.
-22, 7
Factor g**2 + 34*g - 195.
(g - 5)*(g + 39)
Find l such that -3*l**2 + 24*l = 0.
0, 8
Suppose -5*l**4 + 470*l**3 + 1975*l**2 - 1380*l - 8820 = 0. Calculate l.
-3, 2, 98
Factor z**3 + 1557*z**2 - z - 1557.
(z - 1)*(z + 1)*(z + 1557)
Factor -3*x**2 + 21*x - 18.
-3*(x - 6)*(x - 1)
Find n such that 3*n**3 - 48*n**2 = 0.
0, 16
Factor 3*a**2/8 - 279*a/8.
3*a*(a - 93)/8
Solve 4*w**5 + 220*w**4 + 3880*w**3 + 19000*w**2 - 50540*w + 27436 = 0.
-19, 1
Determine l so that -3*l**3 + 144*l**2 = 0.
0, 48
Factor -2*i**2/13 + 8462*i/13 + 8464/13.
-2*(i - 4232)*(i + 1)/13
Factor p**3 - 85*p**2 + 248*p - 164.
(p - 82)*(p - 2)*(p - 1)
Let 42135*a**5 + 228006*a**4 + 233946*a**3 - 202056*a**2 + 31095*a - 1350 = 0. What is a?
-3, 5/53, 2/5
Suppose -z**5/4 - 9*z**4 + 415*z**3/4 + 225*z**2/2 = 0. What is z?
-45, -1, 0, 10
Factor -5*m**2/4 + 3*m - 1.
-(m - 2)*(5*m - 2)/4
Let -2*z**2 - 32*z + 1024 = 0. Calculate z.
-32, 16
Find a, given that -2*a**3 + 30*a**2 + 2*a - 30 = 0.
-1, 1, 15
Factor 2*o**2 - o - 21.
(o + 3)*(2*o - 7)
Factor -5*u**3 - 120*u**2.
-5*u**2*(u + 24)
Suppose 8*k**5/9 + 218*k**4/3 - 164*k**3/9 = 0. What is k?
-82, 0, 1/4
Suppose -15*t**5 + 306*t**4/7 - 282*t**3/7 + 60*t**2/7 + 27*t/7 - 6/7 = 0. Calculate t.
-2/7, 1/5, 1
Solve -55*o**3 + 320*o**2 + 60*o = 0 for o.
-2/11, 0, 6
Factor -2*b**2 + 26*b.
-2*b*(b - 13)
Determine c so that c**5/4 - 3*c**4/2 - 11*c**3/4 + 12*c**2 + 25*c + 12 = 0.
-2, -1, 4, 6
Solve -14*l**5/17 - 78*l**4/17 - 152*l**3/17 - 120*l**2/17 - 32*l/17 = 0 for l.
-2, -1, -4/7, 0
Solve 2*t**2/3 + 1990*t/3 + 1324 = 0 for t.
-993, -2
Determine s so that -4*s**2 - 1412*s - 1408 = 0.
-352, -1
Suppose 5*j**5/2 - 30*j**4 + 105*j**3/2 - 25*j**2 = 0. Calculate j.
0, 1, 10
Solve -3*a**4 + 114*a**3 - 831*a**2 - 4788*a - 5292 = 0 for a.
-2, 21
Factor 3*b**2 + 3*b.
3*b*(b + 1)
Factor l**3/2 + 5*l**2/2 - l/2 - 5/2.
(l - 1)*(l + 1)*(l + 5)/2
Suppose -28*k**5/9 + 106*k**4/9 - 4*k**3/9 - 58*k**2/3 - 4*k = 0. Calculate k.
-1, -3/14, 0, 2, 3
Factor -173*p**5/5 - 694*p**4/5 - 1046*p**3/5 - 704*p**2/5 - 181*p/5 - 2/5.
-(p + 1)**4*(173*p + 2)/5
Factor 3*v**2/5 + 222*v/5.
3*v*(v + 74)/5
Factor -y**3/5 + 614*y**2/5 - 18972*y + 187272/5.
-(y - 306)**2*(y - 2)/5
Factor 3*n**4 - 60*n**3 + 354*n**2 - 540*n + 243.
3*(n - 9)**2*(n - 1)**2
Let -6*n**4/5 - 72*n**3/5 + 24*n**2/5 + 288*n/5 = 0. What is n?
-12, -2, 0, 2
Solve m**5/3 - 29*m**4/3 - 11*m**3 + 89*m**2/3 + 32*m/3 - 20 = 0.
-2, -1, 1, 30
Let -d**5/2 + 17*d**4/2 + 9*d**3/2 - 149*d**2/2 - 40*d + 102 = 0. Calculate d.
-2, 1, 3, 17
Solve 2*q**2 - 46*q = 0 for q.
0, 23
Determine z so that -20*z**5 + 168*z**4 - 204*z**3 + 56*z**2 = 0.
0, 2/5, 1, 7
Let -5*w**3 - 530*w**2 + 535*w = 0. What is w?
-107, 0, 1
Factor 9*r**2 - 2406*r - 1608.
3*(r - 268)*(3*r + 2)
Solve -45*a**2 + 865*a - 190 = 0 for a.
2/9, 19
Factor 5*a**2/4 + 305*a/2 + 2925/4.
5*(a + 5)*(a + 117)/4
What is t in -2*t**5 - 16*t**4 = 0?
-8, 0
Find f such that -20*f**4/3 - 9*f**3 + 28*f**2 - 43*f/3 + 2 = 0.
-3, 1/4, 2/5, 1
Find g such that -3*g**4/4 + 6*g**3 + 3*g**2/4 - 6*g = 0.
-1, 0, 1, 8
Factor -2*d**4/9 + 2*d**3 - 16*d**2/9.
-2*d**2*(d - 8)*(d - 1)/9
Determine l so that -4*l**5 - 96*l**4 - 336*l**3 - 320*l**2 = 0.
-20, -2, 0
Factor -2*x**3/17 + 722*x**2/17 - 1438*x/17 + 718/17.
-2*(x - 359)*(x - 1)**2/17
Solve 3*l**2 - 66*l + 255 = 0 for l.
5, 17
Solve 4*v**3 + 396*v**2 - 808*v = 0 for v.
-101, 0, 2
Solve -2*m**2/15 - 74*m/15 - 40 = 0 for m.
-25, -12
Factor 2*f**3 + 22*f**2 + 64*f + 56.
2*(f + 2)**2*(f + 7)
Factor 2*i**2/9 + 44*i/9 - 1936/9.
2*(i - 22)*(i + 44)/9
Factor -j**2/5 - 4*j - 36/5.
-(j + 2)*(j + 18)/5
Factor 2*q**2/13 + 474*q/13 - 476/13.
2*(q - 1)*(q + 238)/13
Let 12*v**5/5 - 308*v**4/5 + 2216*v**3/5 - 3072*v**2/5 + 1152*v/5 = 0. Calculate v.
0, 2/3, 1, 12
Suppose 33*u**5 + 1065*u**4 - 801*u**3 - 297*u**2 = 0. What is u?
-33, -3/11, 0, 1
Determine c, given that -2*c**2/11 - 214*c/11 = 0.
-107, 0
Find d such that -3*d**5 + 42*d**4 - 21*d**3 - 246*d**2 + 132*d + 312 = 0.
-2, -1, 2, 13
Factor -j**4/2 + 295*j**3/2 - 11096*j**2 + 31974*j.
-j*(j - 146)**2*(j - 3)/2
Factor -12*v**2 - 16*v + 16.
-4*(v + 2)*(3*v - 2)
Factor l**3 - 4*l**2 + 5*l - 2.
(l - 2)*(l - 1)**2
Let -z**4/6 + 112*z**3/3 - 6272*z**2/3 = 0. Calculate z.
0, 112
Find c, given that -20*c**3/11 + 2*c**2 + 36*c/11 = 0.
-9/10, 0, 2
Factor 4*q**3 - 180*q**2 + 348*q - 172.
4*(q - 43)*(q - 1)**2
Factor -2*g**4 - 140*g**3 + 286*g**2 - 144*g.
-2*g*(g - 1)**2*(g + 72)
Let x**5/10 - 149*x**4/10 + 6139*x**3/10 - 41171*x**2/10 - 10136*x - 5390 = 0. What is x?
-1, 11, 70
Factor -q**3 - 280*q**2 + 563*q - 282.
-(q - 1)**2*(q + 282)
Factor -3*s**4 - 36*s**3 - 108*s**2.
-3*s**2*(s + 6)**2
What is a in a**5/3 + a**4/3 - 5*a**3 + 23*a**2/3 - 10*a/3 = 0?
-5, 0, 1, 2
Factor 2*n**2/11 - 50*n/11.
2*n*(n - 25)/11
Find s such that -2*s**2/13 - 54*s/13 - 4 = 0.
-26, -1
Factor -50*p**4/3 + 5660*p**3/3 - 157898*p**2/3 - 43016*p - 8664.
-2*(p - 57)**2*(5*p + 2)**2/3
Factor 2*y**3/7 + 16*y**2/7 - 18*y/7.
2*y*(y - 1)*(y + 9)/7
Factor p**4/2 - 6*p**3 - 81*p**2 - 270*p - 567/2.
(p - 21)*(p + 3)**3/2
Factor -n**2/4 - 509*n - 259081.
-(n + 1018)**2/4
Determine t, given that -2*t**2 + 634*t = 0.
0, 317
Determine a, given that 60*a**5 + 5215*a**4 - 440*a**3 - 435*a**2 = 0.
-87, -1/4, 0, 1/3
Factor -2*c**3/13 - 11148*c**2/13 - 20712984*c/13 - 12828241424/13.
-2*(c + 1858)**3/13
Find o such that -28*o**4 - 20*o**3 + 8*o**2 = 0.
-1, 0, 2/7
Factor x**4/3 + 40*x**3 + 4600*x**2/3 + 20000*x + 250000/3.
(x + 10)**2*(x + 50)**2/3
Factor -3*p**4/5 + 24*p**3/5 - 33*p**2/5 - 12*p.
-3*p*(p - 5)*(p - 4)*(p + 1)/5
What is c in -5*c**2 - 40*c = 0?
-8, 0
Solve -a**3 + 19*a**2 + 20*a = 0.
-1, 0, 20
Factor 2*y**2/9 - 130*y/9 + 200/3.
2*(y - 60)*(y - 5)/9
Let 6*g**4/5 + 38*g**3/5 - 84*g**2/5 - 32*g/5 = 0. What is g?
-8, -1/3, 0, 2
Find g such that 2*g**5 - 2*g**4 - 6*g**3 + 2*g**2 + 4*g = 0.
-1, 0, 1, 2
Determine y so that -2*y**4 + 16*y**3 - 42*y**2 + 44*y - 16 = 0.
1, 2, 4
Factor 2*j**2 - 