+ 22326.
3*(u - 1)**2*(u + 122)**2/2
Suppose 3*g**2/8 - 27*g/2 + 297/8 = 0. Calculate g.
3, 33
What is f in 2*f**5/9 - 56*f**4/3 + 328*f**3/9 + 4*f**2/9 - 110*f/3 + 164/9 = 0?
-1, 1, 82
Factor 4*v**3 + 16*v**2 + 20*v + 8.
4*(v + 1)**2*(v + 2)
Factor -r**5/2 - 11*r**4 + 630*r**3 - 7300*r**2 + 26000*r.
-r*(r - 10)**3*(r + 52)/2
Factor 49*g**3 + 728*g**2 + 1829*g - 6962.
(g - 2)*(7*g + 59)**2
Factor -2*c**2 - 12*c + 14.
-2*(c - 1)*(c + 7)
Suppose -k**5 - 15*k**4 - 47*k**3 - 33*k**2 = 0. What is k?
-11, -3, -1, 0
Suppose -3*y**2 - 492*y - 20172 = 0. What is y?
-82
Determine i so that i**5/6 - 4*i**4/3 + 4*i**3/3 + 16*i**2/3 - 8*i = 0.
-2, 0, 2, 6
Factor -9*s**3 - 213*s**2 + 78*s + 144.
-3*(s - 1)*(s + 24)*(3*s + 2)
Solve 2*j**4/3 - 47*j**3/6 + 16*j**2/3 + 11*j/6 = 0.
-1/4, 0, 1, 11
Let 5*h**4 + 60*h**3 + 15*h**2 - 500*h - 660 = 0. Calculate h.
-11, -2, 3
Find m, given that -m**5/5 - 79*m**4/5 - 451*m**3/5 - 961*m**2/5 - 176*m - 292/5 = 0.
-73, -2, -1
Factor z**5/4 - 713*z**4/4 + 84965*z**3/2 - 6824889*z**2/2 + 26792613*z/4 - 13312053/4.
(z - 237)**3*(z - 1)**2/4
Determine w so that -2*w**2 + 48*w + 224 = 0.
-4, 28
Let 4*d**5/5 - 8*d**3/5 + 4*d/5 = 0. What is d?
-1, 0, 1
Solve -b**5/2 + 11*b**3/2 - 3*b**2 - 14*b + 12 = 0.
-3, -2, 1, 2
Solve o**2/4 - 2077*o/2 + 4153/4 = 0 for o.
1, 4153
Find k, given that 2*k**3/5 - 6*k**2/5 - 48*k/5 - 56/5 = 0.
-2, 7
Determine j so that 2*j**2/3 + 272*j/3 + 90 = 0.
-135, -1
What is p in -18*p**5/7 + 474*p**4/7 - 4052*p**3/7 + 10260*p**2/7 + 8262*p/7 + 1458/7 = 0?
-1/3, 9
Find b such that 2*b**2 + 40*b + 38 = 0.
-19, -1
Suppose -98*a**5 + 9058*a**4 - 277334*a**3 + 2758814*a**2 + 1645232*a + 238328 = 0. What is a?
-2/7, 31
Determine k so that -5*k**4/2 + 35*k**3/2 - 35*k**2 + 20*k = 0.
0, 1, 2, 4
Factor x**5/9 + x**4/9 - 4*x**3 - 4*x**2.
x**2*(x - 6)*(x + 1)*(x + 6)/9
Factor -3*v**3/4 + 113*v**2/2 - 1045*v - 722.
-(v - 38)**2*(3*v + 2)/4
Factor -2*d**2/11 + 4*d/11 + 16/11.
-2*(d - 4)*(d + 2)/11
Solve -2*v**3/13 + 38*v**2/13 - 128*v/13 + 120/13 = 0 for v.
2, 15
Factor 4*h**2/7 - 432*h/7 + 11664/7.
4*(h - 54)**2/7
Factor i**4 - 72*i**3 + 210*i**2 - 208*i + 69.
(i - 69)*(i - 1)**3
Determine b, given that -2*b**3 - 88*b**2 - 882*b + 972 = 0.
-27, -18, 1
Factor -p**5/3 - 7*p**4/3 - 11*p**3/3 - 5*p**2/3.
-p**2*(p + 1)**2*(p + 5)/3
Find w, given that -3*w**5/4 - 9*w**4 - 6*w**3 + 51*w**2/2 + 27*w/4 - 33/2 = 0.
-11, -2, -1, 1
Let 2*x**2 - 70*x + 132 = 0. What is x?
2, 33
What is z in -5*z**2 - 80*z - 195 = 0?
-13, -3
Solve -8*y**3/17 + 22*y**2/17 - 10*y/17 - 4/17 = 0.
-1/4, 1, 2
Factor -4*s**3/7 - 44*s**2/7 - 96*s/7.
-4*s*(s + 3)*(s + 8)/7
Solve w**3/5 + 124*w**2/5 + 123*w/5 = 0.
-123, -1, 0
Suppose 3*g**4/5 + 321*g**3/5 - 1659*g**2/5 + 2343*g/5 - 1008/5 = 0. What is g?
-112, 1, 3
Factor -3*l**3/8 - 159*l**2/8 - 39*l/2.
-3*l*(l + 1)*(l + 52)/8
Suppose 4*m**2 - 44*m + 40 = 0. What is m?
1, 10
Determine c, given that 2*c**4/11 + 124*c**3/11 + 232*c**2/11 - 496*c/11 - 960/11 = 0.
-60, -2, 2
Factor -3*a**5/5 - 57*a**4 - 7176*a**3/5 - 19044*a**2/5.
-3*a**2*(a + 3)*(a + 46)**2/5
Solve i**2/5 + 2*i - 24/5 = 0.
-12, 2
Determine g, given that 2*g**2 - 76*g - 160 = 0.
-2, 40
Suppose -2*w**5/7 + 30*w**4/7 - 146*w**3/7 + 258*w**2/7 - 20*w = 0. Calculate w.
0, 1, 2, 5, 7
Factor -c**2/8 - 113*c/4 - 12769/8.
-(c + 113)**2/8
Suppose -m**2 - 254*m - 16129 = 0. What is m?
-127
Factor 5*j**2 + 10*j.
5*j*(j + 2)
Solve -2*o**2 - 16824*o/7 + 4808/7 = 0 for o.
-1202, 2/7
Determine t, given that 2*t**4/7 - 18*t**3/7 + 26*t**2/7 + 90*t/7 - 100/7 = 0.
-2, 1, 5
Factor -i**5/6 - 243*i**4/2 - 99736*i**3/3 - 12156508*i**2/3 - 186885608*i - 548599688/3.
-(i + 1)*(i + 182)**4/6
Solve -5*s**5 - 11*s**4 + 33*s**3 - 13*s**2 - 4*s = 0.
-4, -1/5, 0, 1
Solve m**5 + 5*m**4/2 - 9*m**3/4 - 81*m**2/8 - 27*m/4 = 0.
-3/2, 0, 2
Find f such that -2*f**4 + 2480*f**3 + 7452*f**2 + 7456*f + 2486 = 0.
-1, 1243
Let 2*o**3/9 - 2*o**2 - 98*o/9 - 26/3 = 0. What is o?
-3, -1, 13
What is p in -3*p**4 - 12*p**3 + 3*p**2 + 48*p + 36 = 0?
-3, -2, -1, 2
Find f such that 2*f**5 - 4*f**4 + 4*f**2 - 2*f = 0.
-1, 0, 1
Factor -2*x**2/9 - 124*x/9 - 1922/9.
-2*(x + 31)**2/9
Factor 7*m**3/6 + 5*m**2/6 - 7*m/6 - 5/6.
(m - 1)*(m + 1)*(7*m + 5)/6
Factor 24*t**4 - 1140*t**3 - 1746*t**2 - 879*t - 147.
3*(t - 49)*(2*t + 1)**3
Factor 2*m**3 - 387*m**2/2 + 287*m/2 + 48.
(m - 96)*(m - 1)*(4*m + 1)/2
Factor -3*j**2 - 27*j - 60.
-3*(j + 4)*(j + 5)
Solve -3*q**2/2 + 213*q/2 - 207 = 0.
2, 69
Solve -p**2/6 - 7*p - 147/2 = 0 for p.
-21
Factor -3*z**3/2 + 293*z**2/2 - 239*z - 96.
-(z - 96)*(z - 2)*(3*z + 1)/2
Determine c, given that c**4 - 13*c**3 + 35*c**2 + 49*c = 0.
-1, 0, 7
Factor -4*k**3 + 60*k**2.
-4*k**2*(k - 15)
Let 15*a**2/8 - 2859*a/4 + 1143/8 = 0. What is a?
1/5, 381
Determine h, given that -2*h**2/9 - 32*h/9 + 8 = 0.
-18, 2
Let -r**2 + 102*r - 2601 = 0. What is r?
51
Factor n**4/4 - 5*n**3/4 + 3*n**2/4 + 9*n/4.
n*(n - 3)**2*(n + 1)/4
What is x in 2*x**5 - 16*x**4 + 44*x**3 - 48*x**2 + 18*x = 0?
0, 1, 3
Let -3*n**2/4 + 21*n/4 + 33 = 0. What is n?
-4, 11
Find n, given that 5*n**4 + 115*n**3 - 250*n**2 = 0.
-25, 0, 2
Let 2*j**5 - 36*j**4 + 32*j**3 + 36*j**2 - 34*j = 0. What is j?
-1, 0, 1, 17
Suppose -2*o**4/3 - 20*o**3/3 - 16*o**2 - 44*o/3 - 14/3 = 0. Calculate o.
-7, -1
Determine g so that -4*g**3 - 52*g**2 - 128*g - 80 = 0.
-10, -2, -1
Suppose -d**2/5 + 147*d/5 + 2254/5 = 0. Calculate d.
-14, 161
Factor 3*y**3 + 5142*y**2 + 2203347*y.
3*y*(y + 857)**2
Suppose 4*q**3 + 576*q**2 + 1140*q + 568 = 0. Calculate q.
-142, -1
Let 2*j**3/7 - 2*j**2 + 22*j/7 - 10/7 = 0. Calculate j.
1, 5
Find t such that -4*t**4/3 + 37*t**3/3 + 13*t**2 - 92*t/3 + 20/3 = 0.
-2, 1/4, 1, 10
Solve -2*f**2 + 4*f + 390 = 0 for f.
-13, 15
Suppose 3*z**2 - 72*z + 357 = 0. What is z?
7, 17
Find r, given that -2*r**2 - 52*r - 176 = 0.
-22, -4
Solve -u**3/7 - u**2/7 = 0 for u.
-1, 0
Factor -2*j**4 - 28*j**3 - 144*j**2 - 324*j - 270.
-2*(j + 3)**3*(j + 5)
Factor t**2 + 14*t + 49.
(t + 7)**2
Determine j, given that j**3/2 + 29*j**2/2 - 43*j - 372 = 0.
-31, -4, 6
Find b, given that 3*b**3/7 - 1824*b**2/7 - 261*b = 0.
-1, 0, 609
What is a in 4489*a**4 + 9246*a**3 + 540*a**2 + 8*a = 0?
-2, -2/67, 0
Let 2*n**2/11 - 96*n + 12672 = 0. Calculate n.
264
Let 2*n**4 + 114*n**3 + 526*n**2 + 294*n - 936 = 0. Calculate n.
-52, -3, 1
Find t, given that -t**4 - 24*t**3 - 88*t**2 + 672*t - 784 = 0.
-14, 2
Solve -4*z**4 - 52*z**3 + 60*z**2 + 52*z - 56 = 0.
-14, -1, 1
Suppose z**4/6 - 13*z**3/6 + 28*z**2/3 - 40*z/3 = 0. Calculate z.
0, 4, 5
Solve -p**3/2 + 240*p**2 - 477*p/2 - 479 = 0.
-1, 2, 479
Solve -3*p**5/5 - 408*p**4/5 - 14649*p**3/5 - 51864*p**2/5 + 14652*p/5 + 52272/5 = 0.
-66, -4, -1, 1
Solve -q**5 - 5*q**4 + 21*q**3 - 23*q**2 + 8*q = 0.
-8, 0, 1
Factor v**3 - 125*v**2 + 836*v - 1180.
(v - 118)*(v - 5)*(v - 2)
Factor -4*h**2 - 11704*h - 8561476.
-4*(h + 1463)**2
Factor -147*n**3/8 - 6069*n**2/8 - 1725*n/8 - 123/8.
-3*(n + 41)*(7*n + 1)**2/8
Suppose 5*o**5 + 75*o**4 - 10*o**3 - 150*o**2 + 5*o + 75 = 0. Calculate o.
-15, -1, 1
Factor -3*q**3/2 + 62*q**2/3 + 11*q/6 - 221.
-(q - 13)*(q + 3)*(9*q - 34)/6
Solve -278*f**4 + 1378*f**3 - 2164*f**2 + 1016*f + 48 = 0 for f.
-6/139, 1, 2
Solve 3*t**3 + 25659*t**2 + 73153809*t + 69520503153 = 0.
-2851
Factor 2*l**2/9 - 1504*l/9 + 282752/9.
2*(l - 376)**2/9
Determine o, given that o**4 - 2*o**3 - 4*o**2 + 8*o = 0.
-2, 0, 2
Determine j so that 2*j**5/7 - 16*j**4 - 720*j**3/7 - 1468*j**2/7 - 1234*j/7 - 372/7 = 0.
-3, -1, 62
Find g such that -20*g**5 - 872*g**4 - 5728*g**3 - 9088*g**2 + 4608*g = 0.
-36, -4, 0, 2/5
Factor 2*l**2/13 + 16*l/13.
2*l*(l + 8)/13
Factor -4*k**3/9 + 10*k**2/3 - 44*k/9.
-2*k*(k - 2)*(2*k - 11)/9
What is m in -2*m**5/9 - 74*m**4/9 + 248*m**3/9 + 320*m**2/9 = 0?
-40, -1, 0, 4
Determine t so that t**4/9 + 2*t**3/3 - 7*t**2/3 - 34*t/9 + 16/3 = 0.
-8, -2, 1, 3
Suppose -v**2 - 69*v = 0. What is v?
-69, 0
Solve -5*j**2 - 110*j + 115 = 0 for j.
-23, 1
Find b, given that -3*b**2/7 - 93*b/7 - 324/7 = 0.
-27, -4
Let -r**3 + 4*r**2 + 5*r = 0. Calculate r.
-1, 0, 5
Suppose 4*b**2/3 - 8*b/3 - 1364 = 0. What is b?
-31, 33
Find h such that -5*h**5 - h**4 + 10*h**3 + 2*h**2 - 5*h - 1 = 0.
-1, -1/5, 1
Factor b**2/2 - 4277*b + 18292729/2.
(b - 4277)**2/2
Factor -u**2 - 82*u - 1681.
-(u + 41)**2
Dete