 - 9)*(t + 1)
Suppose 3*x**3/4 - 93*x**2/4 + 87*x/2 = 0. What is x?
0, 2, 29
Determine y, given that -2*y**3/5 + 2*y**2 + 16*y/5 - 24/5 = 0.
-2, 1, 6
Factor g**4 - 12*g**3 + 30*g**2 - 28*g + 9.
(g - 9)*(g - 1)**3
What is f in -f**2/2 + 9*f/2 - 4 = 0?
1, 8
Let -18*l**5/7 - 66*l**4/7 - 92*l**3/7 - 60*l**2/7 - 18*l/7 - 2/7 = 0. Calculate l.
-1, -1/3
Let -z**4/8 + 7*z**3/8 + 5*z**2/4 - 2*z = 0. Calculate z.
-2, 0, 1, 8
Factor -5*o**2 - 45*o - 90.
-5*(o + 3)*(o + 6)
Factor 4*s**2 - 480*s + 14400.
4*(s - 60)**2
Solve -2*j**3/5 - 108*j**2 + 2*j/5 + 108 = 0.
-270, -1, 1
Let 8*q**5/3 + 2*q**4/3 - 14*q**3/3 - 2*q**2/3 + 2*q = 0. Calculate q.
-1, 0, 3/4, 1
Factor -246*r**3 - 987*r**2 - 996*r - 12.
-3*(r + 2)**2*(82*r + 1)
Determine s, given that -s**2/4 - 36*s + 745/4 = 0.
-149, 5
Factor -86*h**2/5 - 222*h/5 + 108/5.
-2*(h + 3)*(43*h - 18)/5
Let 2*w**2 + 188*w + 186 = 0. What is w?
-93, -1
Factor p**2 - 19*p/4 - 63/4.
(p - 7)*(4*p + 9)/4
Factor -3*x**4 + 4*x**3 + 35*x**2 - 12*x.
-x*(x - 4)*(x + 3)*(3*x - 1)
Factor 4*n**2 - 392*n + 768.
4*(n - 96)*(n - 2)
Solve 3*b**5 - 15*b**4 + 15*b**3 + 15*b**2 - 18*b = 0 for b.
-1, 0, 1, 2, 3
Factor 4*y**3 - 32032*y**2 + 64128064*y.
4*y*(y - 4004)**2
Solve 13*d**4/4 - 11*d**3/2 - 185*d**2/4 - 75*d/2 = 0 for d.
-30/13, -1, 0, 5
Determine j, given that 2*j**2 + 178*j - 744 = 0.
-93, 4
Determine v, given that 16*v**5/7 + 552*v**4/7 + 2852*v**3/7 - 1706*v**2/7 - 102*v + 56 = 0.
-28, -7, -1/2, 1/2
Factor 2*x**2/9 - 16*x/3 + 88/9.
2*(x - 22)*(x - 2)/9
Let 2*w**2 - 18*w + 40 = 0. What is w?
4, 5
Factor 4*b**4/7 - 8*b**3 - 16*b**2/7 + 32*b.
4*b*(b - 14)*(b - 2)*(b + 2)/7
Suppose j**2/4 + j/4 = 0. What is j?
-1, 0
Factor 2*l**5/3 + 128*l**4/3 + 488*l**3/3 + 160*l**2.
2*l**2*(l + 2)**2*(l + 60)/3
Factor -2*a**3 - 2*a**2 + 560*a + 3800.
-2*(a - 19)*(a + 10)**2
Factor 4*j**3/19 - 18*j**2/19 - 40*j/19 + 24/19.
2*(j - 6)*(j + 2)*(2*j - 1)/19
Suppose 5*v**3 + 15*v**2 - 30*v - 40 = 0. Calculate v.
-4, -1, 2
Determine w so that -5*w**4 - 65*w**3 + 75*w**2 + 65*w - 70 = 0.
-14, -1, 1
Factor d**3/4 + d**2 - d/4 - 1.
(d - 1)*(d + 1)*(d + 4)/4
Find y, given that -2*y**2/5 - 142*y/5 + 444/5 = 0.
-74, 3
Factor 5*t**3 + 1140*t**2 + 1125*t - 2270.
5*(t - 1)*(t + 2)*(t + 227)
Find i, given that 10*i**5 + 22*i**4 - 162*i**3/5 - 86*i**2/5 + 112*i/5 - 24/5 = 0.
-3, -1, 2/5, 1
Suppose 2*g**5/9 - 2*g**4/3 - 4*g**3/9 + 4*g**2/3 + 2*g/9 - 2/3 = 0. What is g?
-1, 1, 3
Solve -b**2 - 4*b - 3 = 0 for b.
-3, -1
Suppose -32*z**3/9 + 194*z**2/9 - 298*z/9 + 136/9 = 0. Calculate z.
1, 17/16, 4
Factor -u**4 + 1929*u**3 - 929295*u**2 - 931225*u.
-u*(u - 965)**2*(u + 1)
Factor 2*h**4 + 70*h**3 + 858*h**2 + 4114*h + 5324.
2*(h + 2)*(h + 11)**3
What is z in z**4 - 2*z**3 - 8*z**2 + 18*z - 9 = 0?
-3, 1, 3
Determine t so that 4*t**2 + 52*t - 1856 = 0.
-29, 16
Factor 5*y**2 - 120*y + 115.
5*(y - 23)*(y - 1)
Find u such that 2*u**4/3 + 512*u**3/3 + 31196*u**2/3 - 67072*u + 102966 = 0.
-131, 3
Factor -3*b**3/2 + 12*b**2 - 63*b/2 + 27.
-3*(b - 3)**2*(b - 2)/2
Let -2*t**3/9 + 56*t**2/9 - 110*t/3 - 100 = 0. Calculate t.
-2, 15
Suppose 2*y**3 + 388*y**2 + 1150*y + 764 = 0. Calculate y.
-191, -2, -1
Factor -3*r**3/7 + 909*r**2/7 - 906*r/7.
-3*r*(r - 302)*(r - 1)/7
Factor -25*i**3 + 110*i**2 - 115*i + 30.
-5*(i - 3)*(i - 1)*(5*i - 2)
Factor 4*l**2/7 - 8*l - 380/7.
4*(l - 19)*(l + 5)/7
Find t, given that -20*t**5 + 312*t**4 - 152*t**3 - 432*t**2 + 172*t + 120 = 0.
-1, -2/5, 1, 15
Factor -5*p**3 + 220*p**2 + 5*p - 220.
-5*(p - 44)*(p - 1)*(p + 1)
Factor s**5/4 + 7*s**4/4 + 2*s**3 - 4*s**2.
s**2*(s - 1)*(s + 4)**2/4
Factor 5*q**2 + 765*q + 5800.
5*(q + 8)*(q + 145)
Solve -2*j**4 - 80*j**3 + 190*j**2 + 900*j - 1008 = 0 for j.
-42, -3, 1, 4
Determine f so that -2*f**4/9 + 4*f**3/9 + 32*f**2/9 - 64*f/9 = 0.
-4, 0, 2, 4
Factor -3*u**2 + 510*u - 1008.
-3*(u - 168)*(u - 2)
Factor t**2 + 836*t - 1676.
(t - 2)*(t + 838)
Determine g, given that -3*g**5 + 3*g**4 + 21*g**3 - 3*g**2 - 18*g = 0.
-2, -1, 0, 1, 3
Solve -2*r**2 - 22*r - 56 = 0.
-7, -4
What is l in 4*l**4 - 744*l**3 - 4*l**2 + 744*l = 0?
-1, 0, 1, 186
Find f, given that -6*f**4 - 130*f**3 - 192*f**2 + 168*f + 160 = 0.
-20, -2, -2/3, 1
Determine m so that -2*m**4/3 + 20*m**3 + 42*m**2 + 64*m/3 = 0.
-1, 0, 32
Let -n**2/5 - 7*n + 114/5 = 0. What is n?
-38, 3
Factor -2*n**4/7 - 4*n**3 - 96*n**2/7.
-2*n**2*(n + 6)*(n + 8)/7
Factor 5*m**4/4 + 33*m**3/2 + 47*m**2 - 105*m/2 - 49/4.
(m - 1)*(m + 7)**2*(5*m + 1)/4
Factor -2*n**4/5 + 6*n**3/5 + 18*n**2/5 - 54*n/5.
-2*n*(n - 3)**2*(n + 3)/5
Let 2*g**3 - 76*g**2 - 722*g - 644 = 0. Calculate g.
-7, -1, 46
Factor 2*c**2/7 - 2180*c/7 + 594050/7.
2*(c - 545)**2/7
Factor -3*n**4 - 24*n**3 - 18*n**2 + 24*n + 21.
-3*(n - 1)*(n + 1)**2*(n + 7)
Factor -3*d**3/7 + 30*d**2/7 + 33*d/7.
-3*d*(d - 11)*(d + 1)/7
Solve -b**2/9 + 16*b/3 - 47/9 = 0.
1, 47
Factor 5*t**3 - 5*t**2 - 130*t - 120.
5*(t - 6)*(t + 1)*(t + 4)
Suppose -o**3 - 533*o**2 + o + 533 = 0. What is o?
-533, -1, 1
Find y, given that -3*y**2 + 201*y - 930 = 0.
5, 62
Determine t, given that -2*t**3/13 + 12*t**2 + 482*t/13 + 324/13 = 0.
-2, -1, 81
Determine j, given that 2*j**5/3 - 4*j**4/3 + 2*j**3/3 = 0.
0, 1
Factor -f**2 + 35*f - 96.
-(f - 32)*(f - 3)
What is d in -d**3/8 + 117*d**2/8 - 570*d + 7400 = 0?
37, 40
Factor z**2/3 - 1568*z/3 - 1571.
(z - 1571)*(z + 3)/3
Find d, given that -2*d**5/5 - 8*d**4/5 + 8*d**3/5 + 44*d**2/5 - 6*d/5 - 36/5 = 0.
-3, -1, 1, 2
Factor a**5 + 7*a**4 - 36*a**2.
a**2*(a - 2)*(a + 3)*(a + 6)
Solve -14*g**5/9 + 76*g**4/9 - 8*g**3 - 52*g**2/9 + 86*g/9 - 8/3 = 0.
-1, 3/7, 1, 4
Factor 3*h**3 - 85*h**2 + 616*h - 196.
(h - 14)**2*(3*h - 1)
Solve 20*h**3/3 - 136*h**2 - 240*h + 352/3 = 0.
-2, 2/5, 22
Factor -21*v**4 - 48*v**3 - 12*v**2.
-3*v**2*(v + 2)*(7*v + 2)
Factor -2*h**4/15 - 14*h**3/15 - 12*h**2/5 - 8*h/3 - 16/15.
-2*(h + 1)*(h + 2)**3/15
Factor -4*p**3 - 384*p**2 - 8820*p + 19208.
-4*(p - 2)*(p + 49)**2
Suppose 7*h**5/6 - 19*h**4/6 - 65*h**3/2 - 145*h**2/6 + 134*h/3 + 14 = 0. What is h?
-3, -2, -2/7, 1, 7
Find d such that -4*d**2/9 - 68*d/9 - 64/9 = 0.
-16, -1
Let 5*d**3/6 + 955*d**2/3 + 182405*d/6 = 0. What is d?
-191, 0
Let 12*p**5 - 31*p**4 - 83*p**3 + 46*p**2 + 56*p = 0. Calculate p.
-7/4, -2/3, 0, 1, 4
Factor 3*x**5 - 6*x**4 - 60*x**3 - 72*x**2.
3*x**2*(x - 6)*(x + 2)**2
Suppose -5*x**5/3 + 7*x**4/3 + 13*x**3/3 - 31*x**2/3 + 20*x/3 - 4/3 = 0. Calculate x.
-2, 2/5, 1
Solve 3*j**3/2 + 303*j**2/2 + 150*j = 0.
-100, -1, 0
Factor 9*q**2 - 258*q - 87.
3*(q - 29)*(3*q + 1)
Find c such that -c**2/2 - 30*c - 450 = 0.
-30
Factor p**4 - 84*p**3 - 3*p**2 + 250*p + 168.
(p - 84)*(p - 2)*(p + 1)**2
Find r, given that -3*r**5/5 + 48*r**4/5 - 186*r**3/5 + 48*r**2 - 99*r/5 = 0.
0, 1, 3, 11
What is i in 2*i**4/7 + 104*i**3/7 - 110*i**2/7 - 212*i/7 = 0?
-53, -1, 0, 2
Find m such that 3*m**4/2 - 123*m**3 + 1548*m**2 - 2733*m + 2613/2 = 0.
1, 13, 67
Suppose 2*g**2/15 + 50*g + 748/15 = 0. Calculate g.
-374, -1
Solve -2*t**4/5 + 74*t**3/5 - 552*t**2/5 + 1376*t/5 - 896/5 = 0.
1, 4, 28
Solve -3*h**4 + 15*h**3 + 954*h**2 + 3540*h + 3432 = 0.
-13, -2, 22
Factor -2*b**4 - 16*b**3 + 78*b**2 + 540*b.
-2*b*(b - 6)*(b + 5)*(b + 9)
Find k, given that 3*k**3/5 - 747*k**2/5 + 297*k - 741/5 = 0.
1, 247
Factor 3*c**3 - 516*c**2 + 2016*c.
3*c*(c - 168)*(c - 4)
Solve 7*w**2/2 + 4*w + 1/2 = 0.
-1, -1/7
What is t in -t**2/3 - 41*t/3 - 26 = 0?
-39, -2
Factor a**4 + 6*a**3 - 11*a**2 - 60*a + 100.
(a - 2)**2*(a + 5)**2
What is c in -10*c**5/7 - 236*c**4/7 - 124*c**3/7 + 328*c**2/7 + 134*c/7 - 92/7 = 0?
-23, -1, 2/5, 1
Factor a**4 + 9*a**3 - 36*a**2 + 4*a + 48.
(a - 2)**2*(a + 1)*(a + 12)
Suppose -4*c**4 + 243*c**3 + 561*c**2 + 377*c + 63 = 0. What is c?
-1, -1/4, 63
Suppose i**5/3 + 5*i**4/3 + 2*i**3/3 - 20*i**2/3 - 8*i = 0. What is i?
-3, -2, 0, 2
Factor -j**4/12 + 4*j**3/3 - 41*j**2/12 + 13*j/6.
-j*(j - 13)*(j - 2)*(j - 1)/12
What is s in 110*s**4/7 + 2026*s**3/7 + 5392*s**2/7 - 3688*s/7 + 480/7 = 0?
-15, -4, 2/11, 2/5
Find a such that 3*a**2 + 579*a - 2364 = 0.
-197, 4
Find o, given that o**2 + 428*o + 427 = 0.
-427, -1
Factor 87362*z**5 + 262922*z**4 + 264596*z**3 + 89876*z**2 + 842*z + 2.
2*(z + 1)**3*(209*z + 1)**2
Determine i so that 5*i**4 + 205*i**3 + 200*i**2 = 0.
-40, -1, 0
Factor 5*l**2 + 4220*l - 12705.
5*(l - 3)*(l + 847)
Let 125*a**3 