4/2 - 13*m**3 - 405*m**2 - 1001*m/2 - 245/2 = 0. What is m?
-7, -1, -1/3, 5
Factor -3*a**2 - 144*a + 795.
-3*(a - 5)*(a + 53)
Factor 4*w**3/9 - 116*w**2/9 - 248*w/9.
4*w*(w - 31)*(w + 2)/9
Factor -5*p**5 - 20*p**4 - 20*p**3 + 10*p**2 + 25*p + 10.
-5*(p - 1)*(p + 1)**3*(p + 2)
What is n in -n**5/2 - 57*n**4/2 - 28*n**3 = 0?
-56, -1, 0
Factor 115*y**3 - 270*y**2 + 80*y.
5*y*(y - 2)*(23*y - 8)
Suppose -42*r**4 + 80*r**3 + 8*r**2 = 0. What is r?
-2/21, 0, 2
Determine t, given that -t**2/7 + 88*t/7 - 1936/7 = 0.
44
Solve -8*p**4/7 + 26*p**3/7 - 6*p**2/7 - 32*p/7 + 8/7 = 0.
-1, 1/4, 2
Find r such that -7*r**5 + 3*r**4 + 21*r**3 + 5*r**2 - 6*r = 0.
-1, 0, 3/7, 2
Let -18*j**5 - 14*j**4 + 58*j**3 + 78*j**2 + 16*j - 8 = 0. Calculate j.
-1, 2/9, 2
Factor -4*p**3 - 84*p**2 - 540*p - 1100.
-4*(p + 5)**2*(p + 11)
Factor -2*n**2/13 - 2328*n/13 - 677448/13.
-2*(n + 582)**2/13
Factor -s**4/2 + 9*s**3/2 + 2*s**2 - 78*s + 72.
-(s - 6)**2*(s - 1)*(s + 4)/2
Solve -6*g**3 + 31974*g**2/7 - 41052*g/7 + 9120/7 = 0 for g.
2/7, 1, 760
Determine h, given that -2*h**3/9 + 424*h**2/9 - 278*h/3 - 140 = 0.
-1, 3, 210
Factor -s**4/8 + 3*s**2/8 - s/4.
-s*(s - 1)**2*(s + 2)/8
Factor 4*b**4/5 - 276*b**3/5 - 564*b**2/5 - 284*b/5.
4*b*(b - 71)*(b + 1)**2/5
Factor 21*j**3 + 1473*j**2 - 1281*j - 213.
3*(j - 1)*(j + 71)*(7*j + 1)
Let -21*b**4 + 36*b**3 + 201*b**2 - 324*b - 108 = 0. What is b?
-3, -2/7, 2, 3
Factor -4*f**3 - 8*f**2 - 4*f.
-4*f*(f + 1)**2
Factor 5*t**3 - 1345*t**2 - 5440*t - 5460.
5*(t - 273)*(t + 2)**2
Suppose 6*p**2 + 6915*p - 3459 = 0. What is p?
-1153, 1/2
Factor -2*a**3 + 50*a**2 + 1600*a + 9000.
-2*(a - 45)*(a + 10)**2
Factor -5*a**4 + 65*a**3 - 175*a**2 - 245*a.
-5*a*(a - 7)**2*(a + 1)
Factor 3*d**4 - 21*d**3/4 - 3*d**2/2.
3*d**2*(d - 2)*(4*d + 1)/4
Factor 45*s**2 - 215*s - 50.
5*(s - 5)*(9*s + 2)
Suppose -4*a**3/7 + 80*a**2/7 - 52*a/7 - 456/7 = 0. What is a?
-2, 3, 19
Find c, given that -c**2 - 5*c - 4 = 0.
-4, -1
Find v, given that -21*v**5 + 2976*v**4 - 113577*v**3 + 575634*v**2 - 700128*v - 249696 = 0.
-2/7, 3, 68
Solve -10*a**4/9 + 314*a**3/3 - 1118*a**2/9 + 62*a/3 = 0 for a.
0, 1/5, 1, 93
Factor -3*t**3/2 + 14*t**2 - 14*t - 16.
-(t - 8)*(t - 2)*(3*t + 2)/2
Let 3*l**5 + 249*l**4 + 966*l**3 + 1434*l**2 + 951*l + 237 = 0. Calculate l.
-79, -1
Factor -2*d**2 + 114*d - 520.
-2*(d - 52)*(d - 5)
Factor -2*i**3/7 + 330*i**2/7 + 666*i/7 + 334/7.
-2*(i - 167)*(i + 1)**2/7
Factor 4*j**4 + 4*j**3.
4*j**3*(j + 1)
Factor 36770922*j**3 - 401868*j**2 + 1464*j - 16/9.
2*(549*j - 2)**3/9
Let 9*j**5 + 921*j**4/2 + 1186*j**3 + 1075*j**2 + 389*j + 97/2 = 0. Calculate j.
-97/2, -1, -1/3
Let h**3 - 64*h**2 + 61*h + 126 = 0. What is h?
-1, 2, 63
Let 4*a**3/7 - 62*a**2/7 + 86*a/7 - 4 = 0. What is a?
1/2, 1, 14
Determine h, given that h**2 - 128*h + 1792 = 0.
16, 112
Let 729*x**3/7 - 86130*x**2/7 + 12748*x/7 - 472/7 = 0. Calculate x.
2/27, 118
Factor -2*d**3/11 + 2*d**2 - 36*d/11.
-2*d*(d - 9)*(d - 2)/11
Factor 7*z**4 + 68*z**3 + 43*z**2 - 18*z.
z*(z + 1)*(z + 9)*(7*z - 2)
What is c in c**5 + 44*c**4 + 42*c**3 - 44*c**2 - 43*c = 0?
-43, -1, 0, 1
Find q such that 2*q**4/5 + 74*q**3/5 + 112*q**2 - 480*q = 0.
-20, 0, 3
Suppose -c**5/5 + 12*c**4 - 337*c**3/5 + 714*c**2/5 - 652*c/5 + 216/5 = 0. Calculate c.
1, 2, 54
Factor -2*a**2/9 + 80*a/9 + 56/3.
-2*(a - 42)*(a + 2)/9
Determine z so that -5*z**2/4 + 2565*z/2 - 5125/4 = 0.
1, 1025
Factor -2*a**3 - 310*a**2 - 11086*a - 115322.
-2*(a + 23)**2*(a + 109)
Find p, given that 35*p**4/3 - 620*p**3/3 - 27515*p**2/3 + 20120*p/3 + 2660 = 0.
-21, -2/7, 1, 38
Suppose 6*s**2/19 + 20*s/19 - 26/19 = 0. Calculate s.
-13/3, 1
Find l such that 25*l**2 + 440*l + 255 = 0.
-17, -3/5
Factor -w**4 - 2*w**3 + 25*w**2 + 50*w.
-w*(w - 5)*(w + 2)*(w + 5)
Find f, given that f**3 + 8*f**2 + 21*f + 18 = 0.
-3, -2
Find r such that 2*r**2/3 + 104*r/3 + 470/3 = 0.
-47, -5
Factor 2*h**3/17 + 20*h**2/17 + 46*h/17 + 28/17.
2*(h + 1)*(h + 2)*(h + 7)/17
Let -4*c**2 - 3000*c - 2996 = 0. What is c?
-749, -1
Suppose 14*g**5 + 36*g**4 - 18*g**3 - 56*g**2 + 24*g = 0. Calculate g.
-2, 0, 3/7, 1
Let 3*w**5/2 - 85*w**4/2 + 187*w**3/2 - 131*w**2/2 + 13*w = 0. What is w?
0, 1/3, 1, 26
Factor 2*k**3 - 37*k**2 + 24*k + 1584.
(k - 12)**2*(2*k + 11)
Factor -i**5 - 2*i**4 + 8*i**3.
-i**3*(i - 2)*(i + 4)
Factor -25*c**3 - 1240*c**2 - 725*c + 490.
-5*(c + 1)*(c + 49)*(5*c - 2)
Factor 3*j**4 + 120*j**3 - 561*j**2 - 1470*j - 792.
3*(j - 6)*(j + 1)**2*(j + 44)
Factor -5*v**3 - 125*v**2 + 410*v - 280.
-5*(v - 2)*(v - 1)*(v + 28)
Determine i so that -14*i**3 - 192*i**2 + 56*i = 0.
-14, 0, 2/7
Let -5*i**2/3 + 125*i/3 - 110 = 0. Calculate i.
3, 22
Determine z so that 210*z**3 - 1682*z**2 + 3376*z - 32 = 0.
1/105, 4
Factor 5*s**4 + 35*s**3 + 85*s**2 + 85*s + 30.
5*(s + 1)**2*(s + 2)*(s + 3)
Solve -w**2/4 - 30*w - 900 = 0 for w.
-60
Factor -3*t**5 - 117*t**4 - 333*t**3 - 327*t**2 - 108*t.
-3*t*(t + 1)**3*(t + 36)
Let 2*a**2/3 + 46*a/9 - 16/9 = 0. What is a?
-8, 1/3
Factor -121*l**2 - 198*l - 81.
-(11*l + 9)**2
Factor z**3 + 120*z**2 + 236*z.
z*(z + 2)*(z + 118)
Determine l, given that 16*l**3 + 14*l**2 = 0.
-7/8, 0
Let -y**2/5 - 151*y/5 - 30 = 0. Calculate y.
-150, -1
Solve -3*t**4 - 798*t**3 - 53067*t**2 = 0.
-133, 0
Let 5*f**5/3 + 170*f**4/3 + 480*f**3 - 170*f**2/3 - 1445*f/3 = 0. What is f?
-17, -1, 0, 1
Suppose -k**2/4 + 43*k/2 - 1365/4 = 0. What is k?
21, 65
Suppose 14*m**3 - 816*m**2 + 1030*m - 228 = 0. Calculate m.
2/7, 1, 57
Solve -t**4/3 + 187*t**3/3 - 2447*t**2/3 + 4337*t/3 - 692 = 0 for t.
1, 12, 173
Factor 4*c**3 + 12*c**2 - 16*c.
4*c*(c - 1)*(c + 4)
Suppose p**3/3 + 424*p**2 + 179776*p + 76225024/3 = 0. Calculate p.
-424
Determine d so that -2*d**4 + 8*d**3 + 32*d**2 - 128*d = 0.
-4, 0, 4
Find x such that -x**5 - x**4 + 67*x**3 - 227*x**2 + 66*x + 360 = 0.
-10, -1, 3, 4
What is n in -3*n**3 - n**2 + 38*n - 24 = 0?
-4, 2/3, 3
Factor 2*d**3/11 - 134*d**2/11 + 2176*d/11 + 2312/11.
2*(d - 34)**2*(d + 1)/11
Factor 5*u**2 - 10*u + 5.
5*(u - 1)**2
Factor -4*o**4/7 + 44*o**3/7 - 96*o**2/7 - 144*o/7.
-4*o*(o - 6)**2*(o + 1)/7
Solve -s**3/6 - 94*s**2/3 + 2*s/3 + 376/3 = 0 for s.
-188, -2, 2
Determine h so that -h**3 - 55*h**2/4 - 41*h/2 + 6 = 0.
-12, -2, 1/4
What is g in -15*g**3/2 - 1488*g**2 - 594*g = 0?
-198, -2/5, 0
Factor 5*u**2 - 235*u + 230.
5*(u - 46)*(u - 1)
Factor 4*k**2 - 352*k - 356.
4*(k - 89)*(k + 1)
Find v such that -21*v**3 - 69*v**2 + 1830*v + 528 = 0.
-11, -2/7, 8
Solve 3*n**3 + 386*n**2 - 519*n + 130 = 0.
-130, 1/3, 1
Suppose -10*h**5/7 - 24*h**4/7 + 18*h**3/7 + 40*h**2/7 - 24*h/7 = 0. What is h?
-2, 0, 3/5, 1
Factor -2*r**5/21 - 52*r**4/21 - 176*r**3/21.
-2*r**3*(r + 4)*(r + 22)/21
Factor -2*v**3 - 50*v**2.
-2*v**2*(v + 25)
Factor -17*o**2/3 - 41*o/3 - 8.
-(o + 1)*(17*o + 24)/3
Let -16*s**5 + 228*s**4 - 1096*s**3 + 1860*s**2 - 400*s = 0. Calculate s.
0, 1/4, 4, 5
Solve -20*o**4 - 14048*o**3 - 33636*o**2 - 25208*o - 5600 = 0 for o.
-700, -1, -2/5
Factor -2*r**2/5 + 84*r/5 - 882/5.
-2*(r - 21)**2/5
Factor -p**2/6 + 3*p - 16/3.
-(p - 16)*(p - 2)/6
Factor -2*l**2 + 1160*l + 2328.
-2*(l - 582)*(l + 2)
Find k, given that -5*k**5 + 550*k**4 - 2150*k**3 + 3200*k**2 - 2125*k + 530 = 0.
1, 106
Determine m so that -m**4 + 37*m**3 - 347*m**2 + 587*m - 276 = 0.
1, 12, 23
Factor p**2/4 + 163*p/4.
p*(p + 163)/4
Determine d so that -d**2/4 + 49*d/2 - 97/4 = 0.
1, 97
Factor 5*y**4 + 25*y**3 + 10*y**2 - 100*y - 120.
5*(y - 2)*(y + 2)**2*(y + 3)
Determine h so that -2*h**2 - 100*h - 98 = 0.
-49, -1
Factor -113*a**2/2 - 57*a - 1/2.
-(a + 1)*(113*a + 1)/2
Let 4*c**5 - 180*c**4 + 164*c**3 + 548*c**2 - 888*c + 352 = 0. What is c?
-2, 1, 44
Determine o so that -o**5/3 - 4*o**4/3 - o**3/3 + 10*o**2/3 + 4*o/3 - 8/3 = 0.
-2, 1
Suppose 4*y**3 - 152*y**2 - 316*y - 160 = 0. What is y?
-1, 40
Factor 4*n**3 - 32*n**2 - 36*n.
4*n*(n - 9)*(n + 1)
Factor -20*b**3 + 545*b**2 - 3175*b + 760.
-5*(b - 19)*(b - 8)*(4*b - 1)
Find d, given that 2*d**4 - 6*d**3 - 2*d**2 + 6*d = 0.
-1, 0, 1, 3
Factor 2*c**2/9 + 104*c/9 + 1352/9.
2*(c + 26)**2/9
Let -28*k**5 - 673*k**4 - 645*k**3 + 535*k**2 + 673*k + 138 = 0. Calculate k.
-23, -1, -3/4, -2/7, 1
Factor 6*v**2/7 + 3240*v/7 + 437400/7.
6*(v + 270)**2/7
Factor k**4 + 8*k**3 + 23*k**2 + 28*k + 12.
(k + 1)*(k + 2)**2*(k + 3)
Factor -z**4 - 7*z**3 - 15*z**2 - 9*z.
-z*(z +