)/2
Find y such that -2*y**5 - 48*y**4 - 392*y**3 - 1140*y**2 - 182*y + 1764 = 0.
-9, -7, -2, 1
Suppose 28*r**4 - 440*r**3 + 1412*r**2 + 440*r = 0. Calculate r.
-2/7, 0, 5, 11
Factor -q**4 + 36*q**3 + 286*q**2 + 636*q + 387.
-(q - 43)*(q + 1)*(q + 3)**2
Factor t**2 - 230*t - 231.
(t - 231)*(t + 1)
Factor 3*t**2 + 840*t - 843.
3*(t - 1)*(t + 281)
Factor -4*n**4 + 256*n**3 + 264*n**2 - 256*n - 260.
-4*(n - 65)*(n - 1)*(n + 1)**2
Factor j**4/10 + 99*j**3/10 + 735*j**2/2 + 12125*j/2 + 37500.
(j + 24)*(j + 25)**3/10
Suppose 6*w**4 - 3957*w**3 + 5922*w**2 + 3*w - 1974 = 0. Calculate w.
-1/2, 1, 658
Determine c so that 2*c**2/7 - 2896*c/7 + 1048352/7 = 0.
724
Factor -5*v**2 + 225*v - 820.
-5*(v - 41)*(v - 4)
Solve -g**4/2 - 9*g**3/2 - 23*g**2/2 - 15*g/2 = 0.
-5, -3, -1, 0
Factor -2*y**3 - 460*y**2 - 25984*y + 53824.
-2*(y - 2)*(y + 116)**2
Determine x, given that -2*x**2/11 + 3804*x/11 - 1808802/11 = 0.
951
Determine p, given that -6*p**5 - 542*p**4 - 714*p**3 - 178*p**2 = 0.
-89, -1, -1/3, 0
Solve 20*i**3 - 214*i**2 + 294*i + 108 = 0.
-3/10, 2, 9
Factor -4*o**5 + 24*o**4 - 52*o**3 + 48*o**2 - 16*o.
-4*o*(o - 2)**2*(o - 1)**2
Determine f so that 2*f**2 - 32*f - 520 = 0.
-10, 26
Let j**3/2 - 41*j**2/2 + 176*j + 726 = 0. What is j?
-3, 22
Find r, given that -32*r**5 + 140*r**4 - 176*r**3 + 48*r**2 = 0.
0, 3/8, 2
Determine z, given that -z**3/3 - 8*z**2/3 + 3*z = 0.
-9, 0, 1
Factor 16*i**4/7 - 4*i**3 - 8*i**2/7.
4*i**2*(i - 2)*(4*i + 1)/7
Factor -4*w**2/3 - 28*w.
-4*w*(w + 21)/3
Let 4*t**4 - 236*t**3 + 232*t**2 = 0. What is t?
0, 1, 58
Solve -2*i**3/3 - 37*i**2/3 - 17*i/3 + 6 = 0.
-18, -1, 1/2
Find p, given that -p**5/2 - 38*p**4/3 - 587*p**3/6 - 215*p**2 - 154*p/3 + 484/3 = 0.
-11, -2, 2/3
Factor -2*j**4/3 + 8*j**3 - 20*j**2 + 56*j/3 - 6.
-2*(j - 9)*(j - 1)**3/3
What is o in -4*o**3 - 212*o**2 - 2800*o = 0?
-28, -25, 0
Determine t, given that 2*t**2/3 + 46*t/3 - 16 = 0.
-24, 1
Solve -3*c**5 + 77*c**4 + 28*c**3 - 52*c**2 = 0 for c.
-1, 0, 2/3, 26
Factor t**2/7 + 34*t/7 - 72/7.
(t - 2)*(t + 36)/7
Suppose 4*g**2 - 248*g + 480 = 0. Calculate g.
2, 60
Factor 4*t**2/5 - 308*t/5 + 304/5.
4*(t - 76)*(t - 1)/5
Factor -2*t**3/9 - 878*t**2/3 - 385442*t/3 - 169209038/9.
-2*(t + 439)**3/9
Solve -2*t**5 + 6*t**3 + 4*t**2 = 0 for t.
-1, 0, 2
Suppose -4*u**3 + 108*u**2 - 672*u - 784 = 0. What is u?
-1, 14
Factor -3*o**3 - 76*o**2 - 97*o - 24.
-(o + 1)*(o + 24)*(3*o + 1)
Solve 3*w**4/4 - 3*w**3 - 3*w**2/4 + 12*w - 9 = 0.
-2, 1, 2, 3
Let -p**2/2 + 23*p/2 = 0. Calculate p.
0, 23
Suppose -r**5/9 + 13*r**4/9 + r**3/3 - 37*r**2/9 - 26*r/9 = 0. Calculate r.
-1, 0, 2, 13
Find y, given that 2*y**4/7 + 20*y**3/7 - 74*y**2/7 + 52*y/7 = 0.
-13, 0, 1, 2
Factor -3*b**4 - 231*b**3 + 963*b**2 - 729*b.
-3*b*(b - 3)*(b - 1)*(b + 81)
Factor b**3 - 31*b**2 - 222*b.
b*(b - 37)*(b + 6)
Find y, given that -4*y**3 + 908*y**2 - 51980*y + 51076 = 0.
1, 113
Factor -6*f**2/19 - 1028*f/19 - 18.
-2*(f + 171)*(3*f + 1)/19
Factor -y**2/3 + 59*y/3 - 220/3.
-(y - 55)*(y - 4)/3
Factor -5*n**4 - 190*n**3 - 540*n**2 - 530*n - 175.
-5*(n + 1)**3*(n + 35)
Let -m**5/7 - 11*m**4/7 + 11*m**3/7 + 103*m**2/7 - 190*m/7 + 88/7 = 0. What is m?
-11, -4, 1, 2
Find s such that s**4/11 - 13*s**3/11 - 13*s**2/11 + 325*s/11 - 300/11 = 0.
-5, 1, 5, 12
What is y in -64*y**2 - 70*y - 6 = 0?
-1, -3/32
Let 2*h**4/3 + 10*h**3/3 - 8*h**2/3 - 40*h/3 = 0. What is h?
-5, -2, 0, 2
Let -3*r**4/4 - 63*r**3 - 735*r**2/4 - 243*r/2 = 0. What is r?
-81, -2, -1, 0
Find k, given that -3*k**3/8 - 21*k**2/4 + 333*k/8 - 135/2 = 0.
-20, 3
Find m such that -4*m**2 + 28*m + 240 = 0.
-5, 12
Suppose -9*p**5 + 246*p**4 - 1587*p**3 + 3078*p**2 + 96*p - 1824 = 0. Calculate p.
-2/3, 1, 4, 19
Factor -3*m**4/2 + 7*m**3 - 4*m**2.
-m**2*(m - 4)*(3*m - 2)/2
Determine h so that 5*h**2 - 110*h = 0.
0, 22
Factor -4*i**4 + 40*i**3 + 12*i**2 - 128*i + 80.
-4*(i - 10)*(i - 1)**2*(i + 2)
Find q, given that 12*q**5 + 52*q**4 - 24*q**3 - 232*q**2 + 12*q + 180 = 0.
-3, -1, 1, 5/3
Factor -14*q**3 - 130*q**2 - 316*q - 80.
-2*(q + 4)*(q + 5)*(7*q + 2)
Factor -10*s**4 - 19505*s**3 - 12684750*s**2 - 2752587500*s - 1373125000.
-5*(s + 650)**3*(2*s + 1)
Suppose -w**4 - 346*w**3 - 29581*w**2 + 60204*w - 30276 = 0. Calculate w.
-174, 1
Solve a**2/7 - 31*a/7 + 150/7 = 0 for a.
6, 25
Determine z so that -z**2 + 206*z - 10609 = 0.
103
Let -2*x**3/9 - 20*x**2/9 - 50*x/9 = 0. Calculate x.
-5, 0
Factor v**3 - 369*v**2.
v**2*(v - 369)
Suppose 3*a**3 + 36*a**2 - 180*a + 192 = 0. What is a?
-16, 2
Suppose o**2/5 - 83*o/5 + 162/5 = 0. What is o?
2, 81
What is z in 2*z**4/3 + 158*z**3/3 + 136*z**2/3 - 1544*z/3 + 416 = 0?
-78, -4, 1, 2
Factor -55*k**3/4 - 395*k**2/4 - 625*k/4 - 285/4.
-5*(k + 1)**2*(11*k + 57)/4
Factor 90*m**2 - 565*m - 130.
5*(2*m - 13)*(9*m + 2)
Factor -l**2/5 + 3*l/5.
-l*(l - 3)/5
Find w such that -w**3/5 - 22*w**2/5 + w/5 + 22/5 = 0.
-22, -1, 1
Solve -27*h**3 + 24*h**2 + 3*h = 0.
-1/9, 0, 1
Suppose -4*u**2 - 110*u/9 - 2/3 = 0. What is u?
-3, -1/18
Factor -4*k**4 - 372*k**3 + 4*k**2 + 372*k.
-4*k*(k - 1)*(k + 1)*(k + 93)
Factor 3*y**3/5 - 216*y**2/5 + 1167*y/5 + 1386/5.
3*(y - 66)*(y - 7)*(y + 1)/5
Determine c so that 27*c**3 - 3057*c**2 + 678*c = 0.
0, 2/9, 113
Solve z**3/8 - 23*z**2 - 187*z/8 + 185/4 = 0.
-2, 1, 185
Factor 3*a**4/2 - 198*a**3 + 8712*a**2 - 127776*a.
3*a*(a - 44)**3/2
Let 5*j**4 + 670*j**3 + 22440*j**2 - 670*j - 22445 = 0. Calculate j.
-67, -1, 1
Factor -2*c**5/5 - 104*c**4/5 + 672*c**3/5 - 1376*c**2/5 + 928*c/5.
-2*c*(c - 2)**3*(c + 58)/5
Factor 3*n**3 + 135*n**2 + 378*n.
3*n*(n + 3)*(n + 42)
Factor -2*m**2/5 + 7616*m/5 - 7250432/5.
-2*(m - 1904)**2/5
Factor l**3/5 - 58*l**2.
l**2*(l - 290)/5
Factor -3*x**5 - 60*x**4 - 108*x**3 + 6*x**2 + 111*x + 54.
-3*(x - 1)*(x + 1)**3*(x + 18)
Factor 2*c**2/9 + 580*c/9 - 1168/9.
2*(c - 2)*(c + 292)/9
Suppose 4*g**5 - 20*g**4 + 12*g**3 + 52*g**2 - 32*g - 48 = 0. Calculate g.
-1, 2, 3
Factor o**3 + 69*o**2 + 134*o.
o*(o + 2)*(o + 67)
Determine m, given that 4*m**5 - 116*m**4 + 1280*m**3 - 6544*m**2 + 14592*m - 9216 = 0.
1, 6, 8
Suppose -2*o**2 - 890*o + 892 = 0. What is o?
-446, 1
What is h in 49*h**5 + 462*h**4 + 1621*h**3 + 2508*h**2 + 1444*h = 0?
-19/7, -2, 0
Find o such that 2*o**2/5 - 2978*o/5 - 596 = 0.
-1, 1490
Factor 5*g**3 - 75*g**2 + 240*g + 320.
5*(g - 8)**2*(g + 1)
What is i in -25*i**5 + 780*i**4 - 6489*i**3 + 5678*i**2 + 7860*i + 1800 = 0?
-2/5, 2, 15
What is t in 3*t**4 - 12*t**3 - 9*t**2 + 42*t - 24 = 0?
-2, 1, 4
Suppose -15*g**5 - 80*g**4 - 70*g**3 + 60*g**2 + 85*g + 20 = 0. What is g?
-4, -1, -1/3, 1
Find m, given that -9*m**4/4 - 69*m**3/4 + 15*m**2/2 + 12*m = 0.
-8, -2/3, 0, 1
Factor -9*f**4 + 12*f**3 + 36*f**2 - 48*f.
-3*f*(f - 2)*(f + 2)*(3*f - 4)
Factor -v**2/5 - 183*v/5 + 184/5.
-(v - 1)*(v + 184)/5
Let -2*r**2/19 + 30*r/19 - 72/19 = 0. What is r?
3, 12
Factor 2*h**2/13 + 54*h/13.
2*h*(h + 27)/13
Find d such that -d**2 + 43*d = 0.
0, 43
Let -3*p**5/2 + 4953*p**4 - 6130572*p**3 + 3369078888*p**2 - 691488090552*p - 1396501620528 = 0. What is p?
-2, 826
Suppose g**3/3 + 13*g**2/3 - 29*g/3 + 5 = 0. Calculate g.
-15, 1
Factor 5043*w**3/7 + 4551*w**2/7 - 480*w/7 + 12/7.
3*(w + 1)*(41*w - 2)**2/7
Factor -g**3/2 - 8*g**2 + 19*g/2 + 17.
-(g - 2)*(g + 1)*(g + 17)/2
Suppose 9*r**2 + 37*r/2 + 1 = 0. What is r?
-2, -1/18
Factor x**4/2 + 13*x**3.
x**3*(x + 26)/2
Find w, given that 7*w**5/10 - 8*w**4/5 - 9*w**3/2 + 7*w**2 + 34*w/5 - 12/5 = 0.
-2, -1, 2/7, 2, 3
Let -6*q**4 + 9*q**3 + 69*q**2 - 36*q = 0. What is q?
-3, 0, 1/2, 4
Suppose -z**3 + 15*z**2 - 48*z + 44 = 0. Calculate z.
2, 11
Factor -2*c**2/5 + 8*c/5 + 42/5.
-2*(c - 7)*(c + 3)/5
Factor a**2 + 1537*a.
a*(a + 1537)
Factor -4*z**5 + 24*z**4 - 32*z**3.
-4*z**3*(z - 4)*(z - 2)
Solve -2*t**5 - 140*t**4 - 3650*t**3 - 43000*t**2 - 220000*t - 400000 = 0.
-20, -5
What is i in 8*i**4 - 28*i**3 + 12*i**2 + 32*i - 16 = 0?
-1, 1/2, 2
Factor 3*p**3/5 - 87*p**2/5 - 18*p.
3*p*(p - 30)*(p + 1)/5
Determine t, given that -3*t**3 + 315*t**2 - 924*t + 612 = 0.
1, 2, 102
Factor -25*o**5/3 + 320*o**4/3 - 244*o**3/3 + 16*o**2.
-o**2*(o - 12)*(5*o - 2)**2/3
Let -2*r**3 + 18*r**2 - 16*r = 0. Calculate r.
0, 1, 8
Factor i**2/7 - 81*i/7 - 82/7.
(i - 82)*(i + 1)/7
Let s**3/6 - s**2 - 8*s/3 = 0. Calculate s.
-2, 0, 8
Let 2*n**3/3 + 46*n**2/3 + 28*n = 0. What is n?
-21,