 7/3 = 0. Calculate c.
-7, -1/7
Factor -2*j**3 - 96*j**2 + 1110*j - 2900.
-2*(j - 5)**2*(j + 58)
Suppose -2*i**4 + 1000*i**3 - 125000*i**2 = 0. Calculate i.
0, 250
Suppose -i**4/3 - 14*i**3/3 - 32*i**2/3 + 14*i/3 + 11 = 0. Calculate i.
-11, -3, -1, 1
Factor n**4/2 - 3*n**3/2 - 5*n**2/2 + 3*n/2 + 2.
(n - 4)*(n - 1)*(n + 1)**2/2
Let 10*r**4/19 + 134*r**3/19 - 238*r**2/19 + 34*r/19 + 60/19 = 0. What is r?
-15, -2/5, 1
Factor -5*x**3 - 16620*x**2 - 18414960*x - 6801258560.
-5*(x + 1108)**3
Suppose j**2/4 + 2*j = 0. Calculate j.
-8, 0
Let b**2/4 - 225*b/4 + 56 = 0. Calculate b.
1, 224
Suppose -o**2/5 + 67*o/5 - 84 = 0. What is o?
7, 60
Solve -8*t**5/7 + 4*t**4 - 16*t**3/7 - 16*t**2/7 = 0.
-1/2, 0, 2
Factor -4*r**2 + 8*r + 12.
-4*(r - 3)*(r + 1)
Suppose t**4/3 - 307*t**3/3 = 0. What is t?
0, 307
Factor 2*b**3/7 - 634*b**2/7 - 636*b/7.
2*b*(b - 318)*(b + 1)/7
Factor 2*o**3 + 6*o**2 + 6*o + 2.
2*(o + 1)**3
Suppose -3*p**5/2 - 9*p**4/2 - 9*p**3/2 - 3*p**2/2 = 0. Calculate p.
-1, 0
Factor -3*f**5/5 - 48*f**4/5 - 138*f**3/5 + 432*f**2/5 - 243*f/5.
-3*f*(f - 1)**2*(f + 9)**2/5
Let j**5/3 + j**4 - 79*j**3/3 + 25*j**2/3 + 350*j - 1000/3 = 0. What is j?
-10, -4, 1, 5
Factor 2*d**4/5 - 16*d**3/5 + 48*d**2/5 - 64*d/5 + 32/5.
2*(d - 2)**4/5
Suppose 2*x**3/15 - 4*x**2/5 - 16*x/3 = 0. Calculate x.
-4, 0, 10
Factor -4*a**3 + 68*a**2 - 300*a + 396.
-4*(a - 11)*(a - 3)**2
Factor 5*t**5 + 15*t**4 - 5*t**3 - 55*t**2 - 60*t - 20.
5*(t - 2)*(t + 1)**3*(t + 2)
Factor -212*h**4/11 + 426*h**3/11 - 4*h**2/11.
-2*h**2*(h - 2)*(106*h - 1)/11
Factor -3*l**2 - 504*l - 21168.
-3*(l + 84)**2
Factor -t**2/4 + 29*t/4 + 15/2.
-(t - 30)*(t + 1)/4
Factor -p**3/7 - 1093*p**2/7 - 300295*p/7 - 891075/7.
-(p + 3)*(p + 545)**2/7
Solve -3*i**4 + 234*i**3 - 681*i**2 + 450*i = 0.
0, 1, 2, 75
Find q, given that 3*q**3 - 33*q**2 = 0.
0, 11
Find v such that 4*v**3 - 88*v**2 - 636*v - 1008 = 0.
-3, 28
Factor -g**2/8 + 2*g - 7/2.
-(g - 14)*(g - 2)/8
Factor 2*b**3 + 16*b**2 - 38*b + 20.
2*(b - 1)**2*(b + 10)
Solve 57*g**3/2 + 58*g**2 + 61*g/2 + 1 = 0 for g.
-1, -2/57
Find i, given that -3*i**2/5 + 57*i/5 - 234/5 = 0.
6, 13
Factor a**4/7 - 4*a**3/7 - 11*a**2/7 + 66*a/7 - 72/7.
(a - 3)**2*(a - 2)*(a + 4)/7
Factor -g**2/4 + 3*g/4.
-g*(g - 3)/4
Factor 4*q**2/3 - 1136*q + 241968.
4*(q - 426)**2/3
Factor -2*r**4/13 - 548*r**3/13 - 50760*r**2/13 - 1652400*r/13 - 5832000/13.
-2*(r + 4)*(r + 90)**3/13
Factor -12*k**2 - 381*k/2 + 24.
-3*(k + 16)*(8*k - 1)/2
Let -44*i**3/3 + 54*i**2 + 584*i/3 + 56 = 0. What is i?
-2, -7/22, 6
Solve -h**4/5 + 3*h**3/5 + 6*h**2/5 - 8*h/5 = 0.
-2, 0, 1, 4
Factor -2*f**2/3 + 14*f.
-2*f*(f - 21)/3
Find f, given that -3*f**2/4 + 27*f - 243 = 0.
18
Factor 5*c**2 - 530*c + 14045.
5*(c - 53)**2
Determine q, given that 6*q**4 + 59*q**3 + 140*q**2 - 25*q = 0.
-5, 0, 1/6
Suppose -k**5/7 + 6*k**4/7 + k**3/7 - 6*k**2/7 = 0. Calculate k.
-1, 0, 1, 6
Let -z**5 + 3*z**3 - 2*z**2 = 0. Calculate z.
-2, 0, 1
Factor -5*o**3 - 10*o**2 + 195*o - 360.
-5*(o - 3)**2*(o + 8)
Factor -c**3 + 7*c**2 - 7*c - 15.
-(c - 5)*(c - 3)*(c + 1)
Suppose 4*o**3 - 44*o**2 + 140*o - 100 = 0. Calculate o.
1, 5
Factor 4*t**3 - 3308*t**2 + 682272*t + 685584.
4*(t - 414)**2*(t + 1)
Suppose d**5/5 - 23*d**4/5 - 106*d**3/5 - 58*d**2/5 + 21*d + 81/5 = 0. What is d?
-3, -1, 1, 27
Factor 3*u**3 - 984*u**2 + 981*u.
3*u*(u - 327)*(u - 1)
Factor -5*b**4 + 40*b**3 + 50*b**2 - 40*b - 45.
-5*(b - 9)*(b - 1)*(b + 1)**2
Factor -2*n**3 - 20842*n**2 - 54288198*n + 54309042.
-2*(n - 1)*(n + 5211)**2
What is h in -3*h**4/5 - 51*h**3 + 1611*h**2/5 - 2457*h/5 = 0?
-91, 0, 3
Find x such that x**5 + 18*x**4 - x**3 - 18*x**2 = 0.
-18, -1, 0, 1
Suppose 7*i**2/2 + 237*i - 68 = 0. Calculate i.
-68, 2/7
Suppose i**4/3 - 62*i**3/3 + 961*i**2/3 = 0. What is i?
0, 31
Find z, given that 2*z**2/7 - 2276*z/7 + 4544/7 = 0.
2, 1136
Factor 4*p**2 - 3308*p/3 + 2200/3.
4*(p - 275)*(3*p - 2)/3
Determine m, given that -5*m**2 + 6325*m - 25220 = 0.
4, 1261
Factor l**4 - 7*l**3 - 3*l**2 + 23*l - 14.
(l - 7)*(l - 1)**2*(l + 2)
Find a, given that 2*a**5/3 - 1760*a**4/3 + 387194*a**3/3 + 5284*a**2/3 - 1165120*a/3 + 774400/3 = 0.
-2, 1, 440
Solve 12*z**4/5 + 32*z**3/5 - 12*z**2 + 16*z/5 = 0.
-4, 0, 1/3, 1
Find m, given that -21*m**2/11 - 118*m/11 - 32/11 = 0.
-16/3, -2/7
Factor -r**3/3 - 20*r**2/3 + 43*r/3 - 22/3.
-(r - 1)**2*(r + 22)/3
Suppose 4*s**2 - 64*s + 60 = 0. What is s?
1, 15
What is n in n**2 - 15704*n + 61653904 = 0?
7852
Factor 66*u**2 - 795*u + 36.
3*(u - 12)*(22*u - 1)
Let 3*w**2 + 81*w + 78 = 0. What is w?
-26, -1
Factor b**2/3 + 35*b/3.
b*(b + 35)/3
Factor 5*o**2 + 970*o + 47045.
5*(o + 97)**2
Let 9*x**3 - 228*x**2 + 63*x + 300 = 0. Calculate x.
-1, 4/3, 25
Factor 2*h**3/3 - 575*h**2/6 + 258*h + 141/2.
(h - 141)*(h - 3)*(4*h + 1)/6
Let -4*x**5/5 - 4*x**4/5 + 8*x**3 + 16*x**2/5 - 96*x/5 = 0. Calculate x.
-3, -2, 0, 2
Let -2*h**3/13 + 186*h**2/13 - 4416*h/13 + 4232/13 = 0. What is h?
1, 46
Factor -2*g**4 - 56*g**3.
-2*g**3*(g + 28)
Factor 4*o**2/9 - 56*o/9 + 32/3.
4*(o - 12)*(o - 2)/9
Find a such that 11*a**3 + 1905*a**2 + 7782*a + 1352 = 0.
-169, -4, -2/11
Suppose -2*l**5/5 + 74*l**4/5 - 806*l**3/5 + 1742*l**2/5 + 6208*l/5 + 3584/5 = 0. What is l?
-1, 7, 16
Let 2*o**2/9 - 10*o + 88/9 = 0. What is o?
1, 44
Let z**5/2 + 7*z**4/2 - 39*z**3/2 + 53*z**2/2 - 11*z = 0. Calculate z.
-11, 0, 1, 2
Suppose -4*u**2 = 0. Calculate u.
0
Factor 5*n**2 - 605*n - 610.
5*(n - 122)*(n + 1)
Factor -2*u**2 + 78*u.
-2*u*(u - 39)
Let -v**5 + v**4/4 + 2*v**3 - v**2/2 - v + 1/4 = 0. What is v?
-1, 1/4, 1
Factor -2*p**3/5 - 48*p**2/5 - 88*p/5.
-2*p*(p + 2)*(p + 22)/5
Determine f, given that -2*f**5/3 + 8*f**4/3 + 8*f**3/3 - 44*f**2/3 - 2*f + 12 = 0.
-2, -1, 1, 3
Find b, given that 2*b**2/9 + 182*b/9 + 356/9 = 0.
-89, -2
Factor j**4 + 111*j**3 + 211*j**2 - 759*j + 436.
(j - 1)**2*(j + 4)*(j + 109)
Factor -3*v**2/5 - 177*v/5.
-3*v*(v + 59)/5
Factor 20*q**2 - 225*q + 55.
5*(q - 11)*(4*q - 1)
Factor 2*t**4 - 10*t**3 - 72*t**2 + 216*t + 864.
2*(t - 6)**2*(t + 3)*(t + 4)
Solve -3235*o**2 - 20*o = 0 for o.
-4/647, 0
Factor -3*s**2 + 42*s - 120.
-3*(s - 10)*(s - 4)
Let 64*o**5 + 160*o**4 - 284*o**3 - 836*o**2 + 112*o + 784 = 0. Calculate o.
-2, -7/4, 1, 2
Find a such that 2*a**3/17 - 186*a**2/17 + 5766*a/17 - 59582/17 = 0.
31
Factor 2*s**2 - 2076*s + 538722.
2*(s - 519)**2
Find c, given that -2*c**2 + 748*c - 69938 = 0.
187
Suppose 4*n**4/5 + 12*n**3/5 + 4*n**2/5 - 12*n/5 - 8/5 = 0. What is n?
-2, -1, 1
Factor p**4/3 + 2*p**3/3 - 8*p**2/3 - 6*p - 3.
(p - 3)*(p + 1)**2*(p + 3)/3
Let -v**5/3 - 3*v**4 - 7*v**3 - 19*v**2/3 - 2*v = 0. Calculate v.
-6, -1, 0
Factor a**2/2 - 1/2.
(a - 1)*(a + 1)/2
Factor -x**3 - 4*x**2 + 25*x + 28.
-(x - 4)*(x + 1)*(x + 7)
Determine c, given that 5*c**5 + 45*c**4 + 150*c**3 + 220*c**2 + 120*c = 0.
-3, -2, 0
Determine v so that 2*v**3/3 + 290*v**2/3 + 3552*v + 3456 = 0.
-72, -1
Solve 2*m**5/9 - 2*m**3/3 + 4*m**2/9 = 0 for m.
-2, 0, 1
Factor -u**5 + 5*u**4 + 11*u**3 - 33*u**2 + 18*u.
-u*(u - 6)*(u - 1)**2*(u + 3)
Factor z**3/6 + 53*z**2/3 - 218*z/3 + 220/3.
(z - 2)**2*(z + 110)/6
Factor -2*y**3/9 + 16*y**2/9 + 88*y/9 + 32/3.
-2*(y - 12)*(y + 2)**2/9
Factor -3*g**3 + 15*g**2 + 51*g - 63.
-3*(g - 7)*(g - 1)*(g + 3)
Factor -4*g**2/9 - 32*g/3 + 100/9.
-4*(g - 1)*(g + 25)/9
Determine i so that -2*i**2/9 + 388*i/9 + 130/3 = 0.
-1, 195
Factor 2*w**3/7 - 9*w**2/7 - 5*w/7.
w*(w - 5)*(2*w + 1)/7
Determine c, given that 2*c**4 - 22*c**3 + 34*c**2 + 142*c + 84 = 0.
-1, 6, 7
Let 2*h**4 - 20*h**3 - 46*h**2 - 24*h = 0. What is h?
-1, 0, 12
Factor 510*t**2 + 2044*t + 16.
2*(t + 4)*(255*t + 2)
Factor -5*v**2 - 1950*v + 3920.
-5*(v - 2)*(v + 392)
Factor 2*j**3/9 + 26*j**2/3 - 32*j/9 - 416/3.
2*(j - 4)*(j + 4)*(j + 39)/9
Let k**2/2 + 186*k + 17298 = 0. What is k?
-186
Find h, given that 4*h**3/5 - 96*h**2/5 = 0.
0, 24
Find o, given that 338*o**4/7 - 6318*o**3/7 + 2616*o**2 + 6088*o/7 + 480/7 = 0.
-2/13, 4, 15
Suppose 3*v**4 + 6*v**3 + 3*v**2 = 0. Calculate v.
-1, 0
Find s, given that -3*s**4 - 117*s**3 - 933*s**2 + 4473*s + 5292 = 0.
-21, -1, 4
Factor 2*x**2/5 - 396*x/5 + 19602/5.
2*(x - 99)**2/5
Suppose 30*p**3 + 83*p**2/3 - 13*p/3 - 2 = 0. Calculate p.
-1, -2/9, 3/10
What is s in -s**2/2 - 37*s - 1369/2 = 0?
-37
Let m**4 - 376*m**3 - 1137*m**2 = 0. Calculate m.
-3, 0, 37