 39*v**3 - 63*v**2/2 - 297*v/4 = 0.
-11, -1, 0, 3
Factor -15*n**2 - 5*n/2.
-5*n*(6*n + 1)/2
Factor -c**2/6 + 45*c/2 + 69.
-(c - 138)*(c + 3)/6
Find h, given that 3*h**2/7 + 9*h/7 - 54/7 = 0.
-6, 3
Solve -790*r**5 - 28144*r**4 - 330616*r**3 - 1236960*r**2 + 514944*r + 13824 = 0 for r.
-12, -2/79, 2/5
Suppose n**4/4 - n**3/2 - 9*n**2 - 22*n - 16 = 0. What is n?
-2, 8
Find p such that -76*p**5/3 + 368*p**4/3 - 472*p**3/3 + 48*p**2 + 12*p = 0.
-3/19, 0, 1, 3
Factor -6*z**3 - 81*z**2 + 132*z - 45.
-3*(z - 1)*(z + 15)*(2*z - 1)
Suppose -12*t**2/5 - 99*t/5 + 81/5 = 0. What is t?
-9, 3/4
Factor 2*n**5/3 + 4*n**4/3 - 4*n**3/3 - 16*n**2/3 - 14*n/3 - 4/3.
2*(n - 2)*(n + 1)**4/3
Factor 9*u**3 - 39*u**2 + 55*u - 25.
(u - 1)*(3*u - 5)**2
Find g, given that 3*g**5 + 6*g**4 = 0.
-2, 0
Factor -2*a**2/7 + 22*a/7 + 160/7.
-2*(a - 16)*(a + 5)/7
Factor 3*d**2/4 + 987*d/2 - 5949/4.
3*(d - 3)*(d + 661)/4
Factor -3*y**3 - 402*y**2 + 813*y - 408.
-3*(y - 1)**2*(y + 136)
Determine o so that o**2/3 - 4*o + 11/3 = 0.
1, 11
Factor 245*g**3 + 4585*g**2 - 1325*g + 95.
5*(g + 19)*(7*g - 1)**2
Find t such that 4*t**3/7 - 24*t**2/7 - 340*t/7 - 312/7 = 0.
-6, -1, 13
Let 5*g**4 - 1145*g**3 + 96030*g**2 - 3463020*g + 44561880 = 0. Calculate g.
31, 66
Find q such that -39*q**2 + 129*q + 738 = 0.
-3, 82/13
Factor -7*z**2 - 940*z - 268.
-(z + 134)*(7*z + 2)
What is o in -o**5/7 - 41*o**4/7 - 199*o**3/7 + 4441*o**2/7 - 14200*o/7 + 10000/7 = 0?
-25, 1, 4
Factor 2*j**3 - 14*j**2 - 2*j + 14.
2*(j - 7)*(j - 1)*(j + 1)
Factor -f**3 + 830*f**2 - 171392*f - 346112.
-(f - 416)**2*(f + 2)
Factor 2*y**4/3 - 184*y**3/3 - 374*y**2/3 - 188*y/3.
2*y*(y - 94)*(y + 1)**2/3
Factor 33*j**2/5 - 7027*j/5 - 426/5.
(j - 213)*(33*j + 2)/5
Factor -2*n**3/7 - 4*n**2 - 10*n - 44/7.
-2*(n + 1)*(n + 2)*(n + 11)/7
Suppose 4*d**2/7 - 640*d/7 + 25600/7 = 0. What is d?
80
Factor -5*w**2 - 31390*w - 49266605.
-5*(w + 3139)**2
Factor -4*n**3/3 + 40*n**2 - 548*n/3 - 224.
-4*(n - 24)*(n - 7)*(n + 1)/3
Let 3*v**3/5 - 198*v**2 = 0. Calculate v.
0, 330
Factor i**5 + 17*i**4 + 63*i**3 - 81*i**2.
i**2*(i - 1)*(i + 9)**2
Factor -4*o**2 - 28*o + 32.
-4*(o - 1)*(o + 8)
Suppose -4*o**4/11 - 10*o**3 - 404*o**2/11 + 230*o/11 = 0. Calculate o.
-23, -5, 0, 1/2
Factor -3*u**2 + 1014*u - 1011.
-3*(u - 337)*(u - 1)
Determine i, given that i**2/5 + 42*i/5 + 49 = 0.
-35, -7
Suppose k**2/5 + 61*k/5 = 0. Calculate k.
-61, 0
Let m**3/2 + 28*m**2 + 392*m = 0. What is m?
-28, 0
Solve -4*v**2 - 104*v - 676 = 0 for v.
-13
Factor -q**4/7 - 1279*q**3/7 - 3831*q**2/7 - 547*q - 1276/7.
-(q + 1)**3*(q + 1276)/7
Factor -4*h**4 - 48*h**3 - 44*h**2.
-4*h**2*(h + 1)*(h + 11)
Factor -4*w**4 + 76*w**3 - 456*w**2 + 896*w - 512.
-4*(w - 8)**2*(w - 2)*(w - 1)
Factor 26*a**2/9 - 620*a/9 - 32/3.
2*(a - 24)*(13*a + 2)/9
Factor v**5/5 - 2*v**3 - 4*v**2 - 3*v - 4/5.
(v - 4)*(v + 1)**4/5
Suppose 9*d**4 - 3*d**3 - 36*d**2 + 12*d = 0. What is d?
-2, 0, 1/3, 2
Factor x**4 + 16*x**3 - 76*x**2 + 80*x.
x*(x - 2)**2*(x + 20)
Determine c so that 4*c**2 - 28*c + 24 = 0.
1, 6
Suppose 2*u**2 + 4312*u - 8632 = 0. What is u?
-2158, 2
Find q, given that 20*q**4 + 16*q**3 - 24*q**2 - 16*q + 4 = 0.
-1, 1/5, 1
Let -3*l**3/5 - 92*l**2/5 + 12*l/5 + 368/5 = 0. What is l?
-92/3, -2, 2
What is f in f**4/3 - 4*f**2/3 = 0?
-2, 0, 2
Let 2*f**2 - 42*f + 196 = 0. What is f?
7, 14
Solve -i**3/3 - 60*i**2 - 353*i/3 + 178 = 0 for i.
-178, -3, 1
Factor 3*k**2 - 282*k - 6840.
3*(k - 114)*(k + 20)
Suppose d**2/5 - 3*d/5 - 4/5 = 0. What is d?
-1, 4
Factor s**2/6 + 23*s/3 + 40.
(s + 6)*(s + 40)/6
Factor -36*v**5/5 + 6468*v**4/5 - 386641*v**3/5 + 1529316*v**2 + 516240*v + 43200.
-(v - 60)**3*(6*v + 1)**2/5
Factor 10*p**3/7 - 374*p**2/7 + 508*p/7 - 144/7.
2*(p - 36)*(p - 1)*(5*p - 2)/7
Determine k, given that -k**3/6 - 4*k**2/3 + 595*k/6 + 3757/3 = 0.
-17, 26
Determine w, given that w**3/6 - 26*w**2/3 + 150*w - 864 = 0.
16, 18
What is u in 5*u**3 + 40*u**2 + 85*u + 50 = 0?
-5, -2, -1
Solve -4*p**5 - 1064*p**4 - 105592*p**3 - 4596736*p**2 - 70980068*p + 161208968 = 0.
-67, 2
Let -h**2/2 - h/2 + 6 = 0. What is h?
-4, 3
Find x such that -5*x**2 - 170*x = 0.
-34, 0
Let 82*a**3 - 652*a**2 - 32*a = 0. What is a?
-2/41, 0, 8
Let 11*k**3/8 - 39*k**2/8 + 5*k - 3/2 = 0. Calculate k.
6/11, 1, 2
Factor -20*f**3 - 115*f**2 + 30*f.
-5*f*(f + 6)*(4*f - 1)
Factor 4*p**5 - 8*p**4 - 80*p**3 + 248*p**2 - 244*p + 80.
4*(p - 4)*(p - 1)**3*(p + 5)
Determine t, given that 14*t**3/3 - 2*t**2 - 12*t - 16/3 = 0.
-1, -4/7, 2
Factor 11*r**3 - 54*r**2/5 - r/5.
r*(r - 1)*(55*r + 1)/5
Let 2*p**2 - 1422*p = 0. Calculate p.
0, 711
Let -45*i**5 - 305*i**4 - 605*i**3 - 435*i**2 - 50*i + 40 = 0. Calculate i.
-4, -1, 2/9
Suppose -2*c**5/7 + 8*c**4/7 + 10*c**3/7 - 72*c**2/7 + 72*c/7 = 0. What is c?
-3, 0, 2, 3
Find y, given that -4*y**2/5 + 200*y - 12500 = 0.
125
Factor a**2/10 - 2*a/5 - 1/2.
(a - 5)*(a + 1)/10
Factor -5*z**5 + 35*z**4 - 55*z**3 + 25*z**2.
-5*z**2*(z - 5)*(z - 1)**2
Let -5*t**2 + 4215*t = 0. Calculate t.
0, 843
What is j in 5*j**4 - 24020*j**3 + 28848020*j**2 = 0?
0, 2402
Find t, given that 3*t**5 + 10707*t**4 + 9537249*t**3 - 28676019*t**2 + 28697448*t - 9569388 = 0.
-1786, 1
Suppose 5547*k**4 + 10320*k**3 + 4026*k**2 - 720*k + 27 = 0. What is k?
-1, 3/43
Let 6*y**4/11 - 4*y**3 - 114*y**2/11 + 216*y/11 = 0. What is y?
-3, 0, 4/3, 9
Factor 2*c**4 + 62*c**3 + 660*c**2 + 2600*c + 2000.
2*(c + 1)*(c + 10)**3
Factor 4*k**4 + 2280*k**3 + 433200*k**2 + 27436000*k.
4*k*(k + 190)**3
Suppose -3*m**2 - 3447*m - 3444 = 0. What is m?
-1148, -1
Suppose -v**4/4 + 8*v**3 - 143*v**2/4 + 55*v - 27 = 0. What is v?
1, 2, 27
Factor -2*r**3 - 682*r**2 - 59808*r - 282240.
-2*(r + 5)*(r + 168)**2
Factor -z**3/6 + 2*z**2 + 9*z/2 + 7/3.
-(z - 14)*(z + 1)**2/6
Factor -5*t**2 + 585*t - 580.
-5*(t - 116)*(t - 1)
Find d, given that -2*d**2/11 + 78*d/11 + 540/11 = 0.
-6, 45
Determine u so that -98*u**5/13 - 238*u**4/13 + 2512*u**3/13 - 4112*u**2/13 + 1760*u/13 - 224/13 = 0.
-7, 2/7, 2
Let o**3/5 - 18*o**2/5 + 47*o/5 - 6 = 0. Calculate o.
1, 2, 15
Find d such that d**5/4 - 6*d**4 + 65*d**3/4 - 21*d**2/2 = 0.
0, 1, 2, 21
Determine l, given that -3*l**4/8 - 45*l**3/8 - 189*l**2/8 - 123*l/8 + 45 = 0.
-8, -5, -3, 1
Solve 3*y**2 + 144*y + 861 = 0.
-41, -7
Factor -3*g**2/2 - 165*g/2 + 171.
-3*(g - 2)*(g + 57)/2
Factor o**2/4 - 1757*o/4 - 879/2.
(o - 1758)*(o + 1)/4
Let 2*k**3 + 18*k**2 - 50*k - 66 = 0. Calculate k.
-11, -1, 3
Solve 15*j**3 + 560*j**2 - 385*j - 190 = 0.
-38, -1/3, 1
Factor -f**2/4 - 9*f/4 - 9/2.
-(f + 3)*(f + 6)/4
Factor 3*x**2 + 39*x + 90.
3*(x + 3)*(x + 10)
Find n such that -n**3/3 - 31*n**2/3 - 124*n/3 + 52 = 0.
-26, -6, 1
Factor 45*t**4 + 25*t**3 - 180*t**2 - 100*t.
5*t*(t - 2)*(t + 2)*(9*t + 5)
Suppose -18*a**3/7 + 58*a**2/7 - 48*a/7 + 8/7 = 0. What is a?
2/9, 1, 2
Let z**4 - 18*z**2 + 81 = 0. Calculate z.
-3, 3
Find z such that 4*z**5 + 37*z**4 - 30*z**3 + z**2/4 + 5*z/2 = 0.
-10, -1/4, 0, 1/2
Factor o**2 - 247*o/4 - 31/2.
(o - 62)*(4*o + 1)/4
Let 3*x**2 - 156*x + 441 = 0. What is x?
3, 49
Factor 2*p**3/11 - 428*p**2/11 + 422*p/11 + 852/11.
2*(p - 213)*(p - 2)*(p + 1)/11
Factor -27*g**3 + 18*g**2 - 3*g.
-3*g*(3*g - 1)**2
Factor -d**5 - 31*d**4 - 315*d**3 - 1053*d**2.
-d**2*(d + 9)**2*(d + 13)
Factor -21*w**3/8 + w**2/4 + 21*w/8 - 1/4.
-(w - 1)*(w + 1)*(21*w - 2)/8
Find t such that 3*t**5 - 27*t**4 + 42*t**3 + 6*t**2 - 45*t + 21 = 0.
-1, 1, 7
Find b such that -4*b**4 + 8*b**3 - 4*b**2 = 0.
0, 1
Factor 4*z**2 + 532*z - 536.
4*(z - 1)*(z + 134)
Factor 6*n**4/5 - 146*n**3/5 + 48*n**2/5.
2*n**2*(n - 24)*(3*n - 1)/5
Factor -2*g**4/7 - 92*g**3/7 - 264*g**2/7 - 260*g/7 - 86/7.
-2*(g + 1)**3*(g + 43)/7
Let -3*m**3 + 366*m**2 + 369*m = 0. Calculate m.
-1, 0, 123
Solve 2*y**3/17 + 130*y**2/17 - 24*y = 0.
-68, 0, 3
Factor 3*v**3 - 1632*v**2/7 + 1149*v/7 + 66.
3*(v - 77)*(v - 1)*(7*v + 2)/7
Factor -z**2/9 + 148*z/9 + 149/9.
-(z - 149)*(z + 1)/9
Let -8*t**5/7 + 22*t**4 - 934*t**3/7 + 1472*t**2/7 + 1992*t/7 - 576/7 = 0. Calculate t.
-1, 1/4, 6, 8
Let 2*f**4/9 + 2*f**3 - 32*f**2/3 + 104*f/9 = 0. What is f?
-13, 0, 2
Determine f so that 5*f**5/8 + f**4/2 - f**3/8 = 0.
-1, 0, 1/5
Factor -t**5/6 + t**4/3 + t**3/3 - 4*t**2/3 + 7*t/6 - 1/3.
-(t - 1)**4*(t + 2)/6
Let 2*d**2 + 1614*d + 1612 = 0. Calculate d.
-806, -1
Determine n, given that n**2/2 + 34