-4, -2/5, 4
Solve 3*g**4 - 204*g**3 + 3258*g**2 + 7140*g + 3675 = 0.
-1, 35
Factor 3*q**2/7 + 60*q/7 - 288/7.
3*(q - 4)*(q + 24)/7
Determine x, given that 30976*x**2 - 2112*x + 36 = 0.
3/88
Let -4*s**4 - 48*s**3 - 144*s**2 - 128*s = 0. Calculate s.
-8, -2, 0
Determine g, given that 35*g**3 - 260*g**2 + 620*g - 480 = 0.
2, 24/7
Factor h**5/2 + h**4/2 - h**3 - h**2 + h/2 + 1/2.
(h - 1)**2*(h + 1)**3/2
Find w, given that 4*w**5 + 22*w**4/3 + 4*w**3/3 - 10*w**2/3 - 4*w/3 = 0.
-1, -1/2, 0, 2/3
Let 4*o**5/3 + 8*o**4 + 12*o**3 = 0. What is o?
-3, 0
Factor 4*y**4/7 + 32*y**3 + 2304*y**2/7 - 55296*y/7 - 884736/7.
4*(y - 16)*(y + 24)**3/7
Determine c, given that c**2/3 - 128*c/3 - 43 = 0.
-1, 129
Factor 68*f**2/9 - 28*f + 16.
4*(f - 3)*(17*f - 12)/9
Let -y**5/2 - 2*y**4 + 9*y**3/2 + 8*y**2 - 10*y = 0. What is y?
-5, -2, 0, 1, 2
Factor 5*w**2 - 45*w - 110.
5*(w - 11)*(w + 2)
Factor 2*y**3/9 - 8*y**2/3.
2*y**2*(y - 12)/9
Factor r**3 + 116*r**2.
r**2*(r + 116)
Factor -5*x**2 - 3605*x - 3600.
-5*(x + 1)*(x + 720)
Factor 2*v**2 - 232*v + 6728.
2*(v - 58)**2
Solve -27*b**5 - 108*b**4 - 78*b**3 + 84*b**2 + 105*b + 24 = 0 for b.
-8/3, -1, -1/3, 1
Find k such that -872*k**2 + 874*k - 2 = 0.
1/436, 1
Suppose 5*s**2 - 205*s = 0. Calculate s.
0, 41
Find x such that -3*x**4 + 72*x**3 - 69*x**2 = 0.
0, 1, 23
Suppose -3*j**3/2 + 13*j**2/4 + 23*j/2 - 2 = 0. Calculate j.
-2, 1/6, 4
Suppose -m**3 - 25*m**2 - 87*m - 63 = 0. What is m?
-21, -3, -1
Factor -2*d**3/11 + 356*d**2/11 + 2190*d/11 + 3312/11.
-2*(d - 184)*(d + 3)**2/11
Let -2*k**4/3 - 26*k**3 - 868*k**2/3 - 696*k - 432 = 0. What is k?
-18, -2, -1
Find x such that 4*x**4 + 28*x**3 + 72*x**2 + 80*x + 32 = 0.
-2, -1
Suppose 3*w**5/8 - 27*w**4/8 + 45*w**3/8 - 21*w**2/8 = 0. Calculate w.
0, 1, 7
Factor -j**2 - 20*j - 84.
-(j + 6)*(j + 14)
Find d, given that 3*d**3/4 - 63*d**2/4 + 54*d - 51 = 0.
2, 17
Find g, given that -g**3/4 - 10*g**2 + g/4 + 10 = 0.
-40, -1, 1
Factor a**2/11 + 515*a/11 + 1026/11.
(a + 2)*(a + 513)/11
Find y such that -2*y**5/13 - 96*y**4/13 - 90*y**3/13 + 188*y**2/13 = 0.
-47, -2, 0, 1
Suppose 4*v**2 - 48*v + 108 = 0. Calculate v.
3, 9
Factor y**2 + 19*y - 560.
(y - 16)*(y + 35)
Suppose 3*u**5/2 + 15*u**4/2 + 15*u**3/2 - 15*u**2/2 - 9*u = 0. What is u?
-3, -2, -1, 0, 1
Determine u so that u**3/5 - 5*u**2 + 24*u/5 = 0.
0, 1, 24
Suppose -2*o**2/3 - 436*o/3 + 146 = 0. What is o?
-219, 1
Find l, given that -36*l**3 + 264*l**2 + 188*l + 32 = 0.
-1/3, 8
Solve -y**3/3 + 795*y**2 = 0 for y.
0, 2385
Determine p, given that -2*p**5/7 + 32*p**4/7 - 186*p**3/7 + 68*p**2 - 512*p/7 + 192/7 = 0.
1, 4, 6
Factor n**2 + 10*n.
n*(n + 10)
Let 3*z**2 - 2028*z + 342732 = 0. What is z?
338
Factor -5*j**3 + 30*j**2 + 45*j - 70.
-5*(j - 7)*(j - 1)*(j + 2)
Factor -2*u**2/3 + 37*u/3 + 19/3.
-(u - 19)*(2*u + 1)/3
Factor 5*i**4 + 110*i**3 + 95*i**2 - 210*i.
5*i*(i - 1)*(i + 2)*(i + 21)
Let 2*g**3/7 + 12*g**2/7 + 10*g/7 - 24/7 = 0. Calculate g.
-4, -3, 1
Factor -42*b**3/5 + 999*b**2/5 + 216*b/5.
-3*b*(b - 24)*(14*b + 3)/5
Solve w**4 + 18860*w**3 + 133387350*w**2 + 419280903500*w + 494227365000625 = 0 for w.
-4715
Let -3*v**4/4 + 15*v**3 - 159*v**2/4 + 51*v/2 = 0. Calculate v.
0, 1, 2, 17
Determine l, given that -2*l**3/7 + 15486*l**2/7 - 39969366*l/7 + 34386977882/7 = 0.
2581
Let 2*p**2/7 + 118*p/7 = 0. What is p?
-59, 0
Factor 20*z**2 + 55*z - 225.
5*(z + 5)*(4*z - 9)
Suppose -p**2 - 1142*p = 0. Calculate p.
-1142, 0
Solve -28*f**5 - 232*f**4 - 64*f**3 = 0.
-8, -2/7, 0
Factor 2*i**2/21 + 3776*i/21 + 1782272/21.
2*(i + 944)**2/21
Solve 2*b**2 + 12*b - 32 = 0.
-8, 2
Suppose -126*m**5 - 1730*m**4 + 2442*m**3 + 570*m**2 - 916*m - 240 = 0. Calculate m.
-15, -4/9, -2/7, 1
Factor -4*k**3 - 284*k**2 - 776*k + 2720.
-4*(k - 2)*(k + 5)*(k + 68)
Factor c**3/10 - c**2/10 - 17*c/10 - 3/2.
(c - 5)*(c + 1)*(c + 3)/10
Factor -3*m**2 - 504*m - 21168.
-3*(m + 84)**2
Factor 8*w**2/5 + 4*w + 8/5.
4*(w + 2)*(2*w + 1)/5
Suppose 3*d**3 + 75*d**2 - 12*d - 300 = 0. Calculate d.
-25, -2, 2
Let 5*x**4 - 25*x**2 + 20 = 0. Calculate x.
-2, -1, 1, 2
Determine t, given that -2*t**5 - 80*t**4 + 358*t**3 + 228*t**2 - 1584*t = 0.
-44, -2, 0, 3
Suppose -2*c**4 - 30*c**3 - 168*c**2 - 416*c - 384 = 0. What is c?
-4, -3
Factor 2*z**4/15 + 14*z**3/15 - 8*z**2/15 - 56*z/15.
2*z*(z - 2)*(z + 2)*(z + 7)/15
Suppose 6*w**4 + 116*w**3 + 338*w**2 + 292*w + 64 = 0. What is w?
-16, -2, -1, -1/3
Find a such that a**3/4 + 44*a**2 - 1835*a/4 + 2325/2 = 0.
-186, 5
Determine s, given that -s**2/10 + 1289*s/5 - 1661521/10 = 0.
1289
Determine o so that 4*o**5/13 + 58*o**4/13 + 72*o**3/13 - 82*o**2/13 - 4*o = 0.
-13, -2, -1/2, 0, 1
What is q in -4*q**3/5 - 68*q**2/5 + 64*q - 336/5 = 0?
-21, 2
Find w, given that -3*w**5/8 + 63*w**3/8 + 15*w**2/2 = 0.
-4, -1, 0, 5
Factor 2*y**5/7 - 4*y**4 + 128*y**3/7 - 128*y**2/7 - 512*y/7 + 1024/7.
2*(y - 4)**4*(y + 2)/7
Factor -2*v**3/7 + 292*v**2/7.
-2*v**2*(v - 146)/7
Let 3*j**4/2 + 12*j**3 + 18*j**2 - 48*j - 96 = 0. Calculate j.
-4, -2, 2
Factor -4*z**3 + 1276*z**2.
-4*z**2*(z - 319)
Factor -2*v**5/11 + 170*v**4/11 + 700*v**3/11 + 1060*v**2/11 + 710*v/11 + 178/11.
-2*(v - 89)*(v + 1)**4/11
Determine y, given that -6*y**3 - 140*y**2/3 + 6*y + 140/3 = 0.
-70/9, -1, 1
What is n in -2*n**4/3 + 14*n**2/3 + 4*n = 0?
-2, -1, 0, 3
Let -5*z**2 + 55*z/2 + 15 = 0. What is z?
-1/2, 6
Find h such that 3*h**4/8 + 3*h**3/8 - 555*h**2/8 + 1089*h/8 - 135/2 = 0.
-15, 1, 12
Solve -2*j**3/9 + 28*j**2/9 + 10*j/3 = 0 for j.
-1, 0, 15
Solve 2*f**3 + 194*f**2 - 196*f = 0.
-98, 0, 1
Factor -2*z**3 + 42*z**2 + 98*z - 138.
-2*(z - 23)*(z - 1)*(z + 3)
Find g such that 2*g**5/17 + 44*g**4/17 + 360*g**3/17 + 1300*g**2/17 + 1750*g/17 = 0.
-7, -5, 0
Factor -3*p**3 + 13*p**2 + 59*p - 21.
-(p - 7)*(p + 3)*(3*p - 1)
Find l, given that -l**3/4 + l**2 + 91*l/4 - 245/2 = 0.
-10, 7
Factor 3*q**4/5 - 36*q**3/5 + 126*q**2/5 - 12*q - 45.
3*(q - 5)**2*(q - 3)*(q + 1)/5
Determine b so that b**3 + 7*b**2 - 8*b = 0.
-8, 0, 1
Factor 21*k**4 - 1674*k**3 + 2796*k**2 + 936*k.
3*k*(k - 78)*(k - 2)*(7*k + 2)
Determine h, given that -4*h**2 + 56*h - 160 = 0.
4, 10
Find i, given that i**4/4 + i**3/4 - 7*i**2/4 - i/4 + 3/2 = 0.
-3, -1, 1, 2
Solve -2*o**2/3 + 82*o/3 - 80/3 = 0 for o.
1, 40
Factor -10*d**3/9 - 22*d**2/9 + 26*d/9 + 2/3.
-2*(d - 1)*(d + 3)*(5*d + 1)/9
Solve 2*s**5/3 + 2*s**4 + 2*s**3/3 - 2*s**2 - 4*s/3 = 0 for s.
-2, -1, 0, 1
Let -2*x**4/3 - 2*x**3 + 28*x**2 - 200*x/3 + 48 = 0. What is x?
-9, 2
Find n such that -15*n**5 - 445*n**4 + 2230*n**3 + 540*n**2 - 4840*n - 2720 = 0.
-34, -1, -2/3, 2, 4
Factor -3*r**2/5 - 7674*r/5 - 4907523/5.
-3*(r + 1279)**2/5
Let -3*x**4 + 600*x**3 - 6342*x**2 + 19920*x - 14175 = 0. What is x?
1, 5, 189
Solve -3*s**2 + 120*s + 123 = 0 for s.
-1, 41
Suppose c**4/3 - 10*c**3/3 + 17*c**2/3 - 8*c/3 = 0. Calculate c.
0, 1, 8
Factor r**3/5 - 56*r**2/5 - 57*r/5.
r*(r - 57)*(r + 1)/5
What is s in -3*s**5/2 + 42*s**4 - 693*s**3/2 + 948*s**2 - 102*s - 1440 = 0?
-1, 2, 5, 6, 16
Determine g so that -g**4 - 187*g**3 + 188*g**2 = 0.
-188, 0, 1
Factor 2*y**3/5 + 34*y**2 - 172*y/5.
2*y*(y - 1)*(y + 86)/5
Let -2*t**5/13 + 22*t**4/13 + 20*t**3/13 - 448*t**2/13 - 768*t/13 = 0. Calculate t.
-3, -2, 0, 8
Factor -2*c**3/9 - 128*c**2/9 - 2048*c/9.
-2*c*(c + 32)**2/9
Find w, given that 4*w**5 + 174*w**4 - 100*w**3 - 530*w**2 - 84*w + 176 = 0.
-44, -1, 1/2, 2
Factor 4*z**2/3 + 448*z/3 + 12544/3.
4*(z + 56)**2/3
Factor -y**2 + 6*y + 216.
-(y - 18)*(y + 12)
Suppose 3*w**2 - 5916*w + 2916588 = 0. What is w?
986
Let -5*k**2/3 - 40*k/3 - 35/3 = 0. Calculate k.
-7, -1
Factor -q**3/5 - 7*q**2/10 - 3*q/10.
-q*(q + 3)*(2*q + 1)/10
Solve 14*i**2/9 - 20*i + 286/9 = 0 for i.
13/7, 11
Solve -3*i**2/5 + 3*i - 18/5 = 0 for i.
2, 3
Suppose a**2/11 + 40*a/11 - 225/11 = 0. What is a?
-45, 5
Let -a**4 + 38*a**3/5 + 61*a**2/5 + 18*a/5 = 0. What is a?
-1, -2/5, 0, 9
Suppose -21*z**4/5 + 69*z**3 - 1374*z**2/5 + 264*z = 0. Calculate z.
0, 10/7, 4, 11
Let 5*r**5/6 + r**4 - 14*r**3 + 29*r**2/3 + 5*r/2 = 0. What is r?
-5, -1/5, 0, 1, 3
Determine o so that -3*o**4/4 - 3*o**3 + 105*o**2/4 + 225*o/2 = 0.
-5, 0, 6
Factor j**4/2 + 255*j**3/2 + 253*j**2/2 - 255*j/2 - 127.
(j - 1)*(j + 1)**2*(j + 254)/2
Factor 28*a**3 - 92800*a**2 + 76904684*a - 21965192.
4*(a - 1657)**2*(7*a - 2)
Suppose -62390625*c**3 - 544500