(i - 62)*(4*i - 1)/4
Find j such that j**2/4 + 1847*j/2 + 3411409/4 = 0.
-1847
Factor -3*q**2/2 + 45*q - 87/2.
-3*(q - 29)*(q - 1)/2
Suppose b**2 + 2*b + 1 = 0. Calculate b.
-1
Suppose -3*w**2 - 78*w - 360 = 0. What is w?
-20, -6
What is g in -4*g**3/5 + 16*g**2/5 - 12*g/5 = 0?
0, 1, 3
Find h such that -h**4/4 + 9*h**3/4 + 7*h**2/2 - 9*h - 10 = 0.
-2, -1, 2, 10
Let 2*y**3/5 - 16*y**2/5 - 18*y - 72/5 = 0. What is y?
-3, -1, 12
Let 10*s**5/3 + 161*s**4/6 - 13*s**3/6 - 169*s**2/6 - 7*s/6 + 4/3 = 0. Calculate s.
-8, -1, -1/4, 1/5, 1
Let -2*m**2/7 + 4024*m/7 - 2024072/7 = 0. What is m?
1006
Factor -3*n**3/5 + 33*n**2/5 - 72*n/5 - 108/5.
-3*(n - 6)**2*(n + 1)/5
Find o, given that o**3/7 + 29*o**2/7 - 65*o/7 - 93/7 = 0.
-31, -1, 3
Determine r so that -81*r**5/2 + 765*r**4/2 + 241*r**3 - 162*r**2 + 20*r = 0.
-1, 0, 2/9, 10
Determine w, given that -2*w**3/7 + 48*w**2/7 - 198*w/7 + 152/7 = 0.
1, 4, 19
What is u in -u**5 - 20*u**4 - 84*u**3 - 142*u**2 - 107*u - 30 = 0?
-15, -2, -1
Find w such that 2*w**2 + 52*w + 338 = 0.
-13
Let -4*l**4/3 + 12112*l**3/3 - 3056260*l**2 - 12112*l/3 + 9168784/3 = 0. What is l?
-1, 1, 1514
Factor 2*k**5/13 + 28*k**4/13 + 2*k**3.
2*k**3*(k + 1)*(k + 13)/13
Suppose 5*v**3 - 545*v**2 + 9400*v - 44500 = 0. What is v?
10, 89
What is x in 3*x**5/5 - 18*x**4/5 - 24*x**3 = 0?
-4, 0, 10
Find f such that f**2 + 106*f + 309 = 0.
-103, -3
Suppose 95*f**3 - 185*f**2 - 295*f - 15 = 0. Calculate f.
-1, -1/19, 3
Suppose i**5 - 3*i**4 - i**3 + 11*i**2 - 12*i + 4 = 0. Calculate i.
-2, 1, 2
Solve 3*t**5/7 + 39*t**4/7 + 27*t**3 + 417*t**2/7 + 408*t/7 + 144/7 = 0.
-4, -3, -1
Factor -4*p**4 - 80*p**3 - 396*p**2 + 80*p + 400.
-4*(p - 1)*(p + 1)*(p + 10)**2
Solve w**5/10 - 99*w**4/5 + 1019*w**3 - 19304*w**2/5 + 47433*w/10 - 9409/5 = 0.
1, 2, 97
Factor 5*z**4 + 740*z**3 + 2895*z**2 + 2160*z.
5*z*(z + 1)*(z + 3)*(z + 144)
Let 16*m**3 + 976*m**2 + 964*m + 240 = 0. What is m?
-60, -1/2
Factor 5*m**2/6 - 120.
5*(m - 12)*(m + 12)/6
Find l such that l**2/4 - 3*l/2 + 2 = 0.
2, 4
Factor 4*o**5 + 12*o**4 - 16*o**2.
4*o**2*(o - 1)*(o + 2)**2
Let -3*a**2 + 6402*a - 3415467 = 0. Calculate a.
1067
Solve 100*y**5 + 485*y**4 - 2285*y**3 + 1880*y**2 - 20*y - 160 = 0 for y.
-8, -1/4, 2/5, 1, 2
Factor 5*u**5 + 80*u**4 + 450*u**3 + 1000*u**2 + 625*u.
5*u*(u + 1)*(u + 5)**3
Let 845*j**3 + 4615*j**2 + 1995*j + 225 = 0. What is j?
-5, -3/13
Determine z, given that -3*z**4/8 - 45*z**3/2 - 2697*z**2/8 + 45*z/2 + 675/2 = 0.
-30, -1, 1
Factor 2*r**2/11 - 3804*r/11 + 1808802/11.
2*(r - 951)**2/11
Suppose -3*c**5 - 9*c**4 - 3*c**3 + 9*c**2 + 6*c = 0. Calculate c.
-2, -1, 0, 1
Factor 2*i**3 - 44*i**2 - 50*i + 92.
2*(i - 23)*(i - 1)*(i + 2)
Find v, given that -21*v**3 + 2022*v**2 - 48960*v + 13824 = 0.
2/7, 48
Determine u so that -19*u**4 - 154*u**3 - 263*u**2 - 140*u - 12 = 0.
-6, -1, -2/19
Factor -3*p**3 + 55*p**2/3 - 2*p.
-p*(p - 6)*(9*p - 1)/3
Suppose -35*w**4 + 235*w**3 + 665*w**2 + 485*w + 90 = 0. Calculate w.
-1, -2/7, 9
Find y, given that y**5/5 - 12*y**4/5 + 51*y**3/5 - 88*y**2/5 + 48*y/5 = 0.
0, 1, 3, 4
What is v in 10*v**5 + 45*v**4 + 70*v**3 + 45*v**2 + 10*v = 0?
-2, -1, -1/2, 0
Factor 3*h**4/5 - h**3 - h**2/5 + h - 2/5.
(h - 1)**2*(h + 1)*(3*h - 2)/5
Determine q so that -4*q**4/3 + 88*q**3/3 - 188*q**2 + 880*q/3 - 400/3 = 0.
1, 10
Find n, given that 2*n**4 - 152*n**3 + 444*n**2 - 440*n + 146 = 0.
1, 73
Determine p so that -2*p**5/15 + 218*p**4/15 - 638*p**3/15 + 206*p**2/15 + 128*p/3 - 424/15 = 0.
-1, 1, 2, 106
Suppose -16*h**2 - 78*h = 0. What is h?
-39/8, 0
Solve -3*g**3 + 285*g**2 + 582*g = 0.
-2, 0, 97
Factor -20*p**3 + 265*p**2 - 700*p + 500.
-5*(p - 10)*(p - 2)*(4*p - 5)
Factor -2*i**2/11 - 398*i/11 + 2040/11.
-2*(i - 5)*(i + 204)/11
Factor -2*f**2 + 8*f + 192.
-2*(f - 12)*(f + 8)
Factor -c**4 + 2*c**3 + 5*c**2 - 6*c.
-c*(c - 3)*(c - 1)*(c + 2)
Factor -q**2/4 - q/2 + 2.
-(q - 2)*(q + 4)/4
Factor -4*o**2 + 3812*o + 3816.
-4*(o - 954)*(o + 1)
Suppose -3*b**2/5 + 21*b + 108/5 = 0. Calculate b.
-1, 36
Suppose p**2/11 - 10*p/11 - 171/11 = 0. What is p?
-9, 19
Solve 2*r**5 + 4*r**4 - 30*r**3 = 0.
-5, 0, 3
Suppose -50*c**4 - 9910*c**3 - 1948*c**2 + 6328*c - 1584 = 0. What is c?
-198, -1, 2/5
Determine r so that -3*r**2/2 - 69*r - 1155/2 = 0.
-35, -11
Factor 3*d**2 + 2196*d - 4404.
3*(d - 2)*(d + 734)
Determine z so that z**3/2 - 505*z**2/4 + 8001*z - 3969 = 0.
1/2, 126
Let -2*p**4/9 - 4*p**3/9 + 38*p**2/9 + 40*p/9 = 0. Calculate p.
-5, -1, 0, 4
Factor -i**3 - 53*i**2 - 616*i + 2352.
-(i - 3)*(i + 28)**2
Suppose -2*b**5/11 + 46*b**4/11 + 520*b**3/11 + 1720*b**2/11 + 2272*b/11 + 1024/11 = 0. What is b?
-4, -2, -1, 32
Find n, given that n**2/5 + 4*n/5 - 1 = 0.
-5, 1
Factor b**4 + 28*b**3 + 144*b**2 + 272*b + 176.
(b + 2)**3*(b + 22)
Let 2*d**4/9 - 10*d**3/9 + 8*d**2/9 = 0. What is d?
0, 1, 4
Let -4*d**5/3 + 16*d**4/3 + 112*d**3/3 + 128*d**2/3 = 0. Calculate d.
-2, 0, 8
Find l such that -l**5/5 - 7*l**4/5 + 8*l**3/5 = 0.
-8, 0, 1
Factor 29*b**2/7 - 5*b + 6/7.
(b - 1)*(29*b - 6)/7
Factor w**5/7 + 3*w**4/7 - 3*w**3/7 - 11*w**2/7 - 6*w/7.
w*(w - 2)*(w + 1)**2*(w + 3)/7
Factor r**2/4 - 5*r - 21/4.
(r - 21)*(r + 1)/4
Suppose w**3/4 + 11*w**2/2 + 101*w/4 + 20 = 0. Calculate w.
-16, -5, -1
Determine p, given that 2*p**4 - 42*p**3 + 108*p**2 + 8*p - 144 = 0.
-1, 2, 18
Solve w**2 + 57*w - 594 = 0 for w.
-66, 9
Factor f**2/2 + 20*f.
f*(f + 40)/2
Solve -f**4 - 110*f**3 + 225*f**2 + 110*f - 224 = 0.
-112, -1, 1, 2
Determine f so that 2*f**2/13 + 1844*f/13 - 3696/13 = 0.
-924, 2
Solve -3*z**3/8 + 15129*z**2/4 - 25431849*z/2 + 14250312723 = 0 for z.
3362
Solve -b**2 + 20*b - 36 = 0 for b.
2, 18
Find x such that -x**5/2 + 21*x**4/2 + 3*x**3 - 59*x**2 - 165*x/2 - 63/2 = 0.
-1, 3, 21
Determine b, given that -2*b**3/3 + 8*b**2 + 26*b/3 = 0.
-1, 0, 13
Factor 3*l**3/4 - 207*l**2 - 837*l/4 + 831/2.
3*(l - 277)*(l - 1)*(l + 2)/4
Find q such that -2*q**5/5 + 6*q**4/5 + 2*q**3/5 - 6*q**2/5 = 0.
-1, 0, 1, 3
Let 2*k**4/5 - 4*k**3/5 - 6*k**2 - 8*k/5 + 8 = 0. What is k?
-2, 1, 5
What is z in -6*z**2/5 - 84*z/5 - 78/5 = 0?
-13, -1
Factor 2*p**2/3 - 760*p/3 - 254.
2*(p - 381)*(p + 1)/3
Factor z**4/5 - z**3 - 4*z**2/5 + 4*z.
z*(z - 5)*(z - 2)*(z + 2)/5
Suppose -3*p**2 + 1653*p + 1656 = 0. Calculate p.
-1, 552
Suppose -3*k**5 - 20*k**4 - 44*k**3 - 34*k**2 - k + 6 = 0. Calculate k.
-3, -2, -1, 1/3
Factor h**2/10 - 626*h/5 + 1251/10.
(h - 1251)*(h - 1)/10
Suppose 4*b**4 - 12*b**3 + 16*b = 0. What is b?
-1, 0, 2
What is r in -r**2 + 6232*r/3 - 2077/3 = 0?
1/3, 2077
Factor -y**2/3 - 164*y/3 - 163/3.
-(y + 1)*(y + 163)/3
Find z, given that -z**5 + 10*z**3 - 9*z = 0.
-3, -1, 0, 1, 3
Factor -p**2/2 - 11*p/2 - 14.
-(p + 4)*(p + 7)/2
Factor -2*q**3 + 124*q**2 + 8*q - 496.
-2*(q - 62)*(q - 2)*(q + 2)
Factor -4*h**2 + 1016*h - 64516.
-4*(h - 127)**2
Factor 2*r**2/3 - 8*r + 18.
2*(r - 9)*(r - 3)/3
Suppose j**3 - 625*j**2 + 624*j = 0. What is j?
0, 1, 624
Factor 10*t**3 + 24*t**2 + 8*t.
2*t*(t + 2)*(5*t + 2)
Factor 5*m**3 + 245*m**2 - 1040*m + 1060.
5*(m - 2)**2*(m + 53)
Factor 10*v**3 + 15*v**2 - 10*v - 15.
5*(v - 1)*(v + 1)*(2*v + 3)
Factor -2*j**3/7 + 3390*j**2/7 - 1915350*j/7 + 360724250/7.
-2*(j - 565)**3/7
Suppose -81*x**2/8 - 63*x/4 - 49/8 = 0. What is x?
-7/9
Factor -d**2/7 + 921*d/7 - 920/7.
-(d - 920)*(d - 1)/7
Let 2*j**3 + 36*j**2 - 8*j - 144 = 0. What is j?
-18, -2, 2
Solve -9*i**3/7 - 6*i**2/7 + 9*i/7 + 6/7 = 0.
-1, -2/3, 1
What is u in -u**2/5 - 598*u/5 + 599/5 = 0?
-599, 1
Factor q**4/5 + 296*q**3/5 + 29106*q**2/5 + 940896*q/5 - 970299/5.
(q - 1)*(q + 99)**3/5
Let -6*i**5/11 + 74*i**4/11 + 630*i**3/11 - 290*i**2/11 - 624*i/11 + 216/11 = 0. Calculate i.
-6, -1, 1/3, 1, 18
What is k in k**3/7 - k + 6/7 = 0?
-3, 1, 2
What is s in 2*s**2/11 + 276*s/11 + 9522/11 = 0?
-69
Solve -2*x**2/7 - 6*x + 92/7 = 0 for x.
-23, 2
Determine q, given that -3*q**5/5 - 27*q**4/5 + 63*q**3/5 - 33*q**2/5 = 0.
-11, 0, 1
Find q such that 2*q**3/3 + 142*q**2 + 8514*q + 98010 = 0.
-99, -15
Solve 32*c**5 + 976*c**4 - 494*c**3 + 62*c**2 = 0.
-31, 0, 1/4
What is n in 2*n**2/5 + 226*n/5 - 228/5 = 0?
-114, 1
Solve 6400*a**2/3 + 320*a + 12 = 0.
-3/40
Solve 2*f**4 - 76*f**3/5 - 122*f**2/5 - 36*f/5 = 0 for f.
-1, -2/5, 0, 9
Determine q, given that 4*q**2 + 964*q - 1944 = 0.
-243, 2
Determine v so that v**2/5 - 138*v/5 + 721 = 0.
