 Calculate m.
-5, -2, 2
Factor 4*n**5/7 + 12*n**4/7 - 16*n**2/7.
4*n**2*(n - 1)*(n + 2)**2/7
Factor -6*l**4 + 22*l**3 - 30*l**2 + 18*l - 4.
-2*(l - 1)**3*(3*l - 2)
Factor q**3 - 47*q**2.
q**2*(q - 47)
Determine f so that -4*f**5/7 - 472*f**4/7 - 14832*f**3/7 - 53352*f**2/7 - 38988*f/7 = 0.
-57, -3, -1, 0
What is t in 4*t**2 - 1896*t - 3808 = 0?
-2, 476
Let 10*f**5/7 - 52*f**4/7 + 100*f**3/7 - 88*f**2/7 + 34*f/7 - 4/7 = 0. Calculate f.
1/5, 1, 2
Determine m, given that -5*m**2 - 140*m - 980 = 0.
-14
Find q such that 60*q**5 + 308*q**4 - 800*q**3 - 112*q**2 = 0.
-7, -2/15, 0, 2
What is l in -21*l**4 - 729*l**3 + 2562*l**2 - 2268*l + 456 = 0?
-38, 2/7, 1, 2
Let -l**5 - 3*l**4 + 2*l**3 + 6*l**2 - l - 3 = 0. What is l?
-3, -1, 1
Factor i**2/6 - 31*i/3 + 59/2.
(i - 59)*(i - 3)/6
Factor 3*w**4 + 18*w**3 + 3*w**2 - 72*w + 48.
3*(w - 1)**2*(w + 4)**2
Factor -5*k**5 + 70*k**4 + 800*k**3 + 1760*k**2.
-5*k**2*(k - 22)*(k + 4)**2
Factor -h**2/3 + 23*h/3 + 26.
-(h - 26)*(h + 3)/3
Determine d so that -2*d**4/7 - 50*d**3/7 + 52*d**2/7 = 0.
-26, 0, 1
Find c, given that -1875*c**5/8 + 68625*c**4/8 - 13350*c**3 + 7935*c**2 - 2106*c + 210 = 0.
2/5, 35
Factor -h**4/2 + 8*h**3 + 119*h**2/2 - 147*h.
-h*(h - 21)*(h - 2)*(h + 7)/2
Factor 6*o**2/5 - 2*o/5.
2*o*(3*o - 1)/5
What is c in -4*c**5 - 796*c**4 - 39200*c**3 + 40000*c**2 = 0?
-100, 0, 1
Factor t**2/6 + 5*t/3 + 7/2.
(t + 3)*(t + 7)/6
What is w in 5*w**3 - 75*w**2 - 405*w + 475 = 0?
-5, 1, 19
Find f such that 2*f**5/11 - 1766*f**4/11 + 387182*f**3/11 + 1177486*f**2/11 + 7088*f/11 - 1569992/11 = 0.
-2, 1, 443
Let 20*k**4 - 155*k**3 - 40*k**2 = 0. What is k?
-1/4, 0, 8
Determine d, given that -8*d**4/7 + 52*d**3 - 4044*d**2/7 - 2300*d/7 + 2116/7 = 0.
-1, 1/2, 23
Factor -2*n**3/7 + 18*n**2/7 + 6*n + 22/7.
-2*(n - 11)*(n + 1)**2/7
Solve 5*g**3/4 + g**2/2 - 5*g/4 - 1/2 = 0 for g.
-1, -2/5, 1
Determine z, given that -2*z**4/3 - 110*z**3/3 - 522*z**2 - 486*z = 0.
-27, -1, 0
Factor -q**5/2 - 129*q**4/4 - 189*q**3/4.
-q**3*(q + 63)*(2*q + 3)/4
Solve -4*k**4/3 + 49*k**3/6 - 13*k**2 + 3*k/2 = 0.
0, 1/8, 3
Factor -58*x**3 - 1216*x**2/7 + 6*x/7.
-2*x*(x + 3)*(203*x - 1)/7
Determine j so that 2*j**5/5 - 116*j**4/5 + 456*j**3 - 15884*j**2/5 + 13718*j/5 = 0.
0, 1, 19
Factor q**3/2 + 39*q**2/2 + 143*q/2 + 105/2.
(q + 1)*(q + 3)*(q + 35)/2
Let 12*j**2 - 80*j + 100 = 0. Calculate j.
5/3, 5
Find i, given that 4*i**5 + 200*i**4 + 3136*i**3 + 15288*i**2 + 12348*i = 0.
-21, -7, -1, 0
Factor -2*a**2/11 + 2*a/11 + 60/11.
-2*(a - 6)*(a + 5)/11
Solve -2*y**4/5 + 358*y**3/5 + 1086*y**2/5 + 218*y + 364/5 = 0.
-1, 182
Factor -2*h**2 + 820*h + 822.
-2*(h - 411)*(h + 1)
What is j in 2*j**2/3 - 1076*j/3 + 144722/3 = 0?
269
Factor -3*s**4/7 - 15*s**3/7 + 18*s**2/7.
-3*s**2*(s - 1)*(s + 6)/7
Solve q**4/6 - q**3/2 - q**2/2 + 11*q/6 - 1 = 0 for q.
-2, 1, 3
Suppose -k**2/4 - 41*k/4 - 37 = 0. Calculate k.
-37, -4
Determine s so that 2*s**5/13 + 14*s**4/13 + 30*s**3/13 + 18*s**2/13 = 0.
-3, -1, 0
Factor 4*t**5/5 - 144*t**4 - 724*t**3/5.
4*t**3*(t - 181)*(t + 1)/5
Factor -3*s**2/5 - 147*s/5.
-3*s*(s + 49)/5
Determine h, given that 2*h**4/15 - 16*h**3/15 + 22*h**2/15 + 64*h/15 - 8 = 0.
-2, 2, 3, 5
Factor -5*t**5 + 10*t**4.
-5*t**4*(t - 2)
Factor -4*d**3 + 540*d**2 - 24300*d + 364500.
-4*(d - 45)**3
Factor -3*c**4 - 18*c**3 - 39*c**2 - 36*c - 12.
-3*(c + 1)**2*(c + 2)**2
Find t such that -169*t**4 - 340*t**3 + 165*t**2 + 340*t + 4 = 0.
-2, -1, -2/169, 1
Determine v so that 5*v**3 - 105*v**2 + 735*v - 1715 = 0.
7
What is s in s**3/2 - 7*s**2/2 + 3*s = 0?
0, 1, 6
Factor -2*h**2 + 1188*h - 176418.
-2*(h - 297)**2
Find n such that 4*n**3 - 932*n**2 - 1892*n + 2820 = 0.
-3, 1, 235
Find n, given that 5*n**4 - 5*n**3 - 20*n**2 + 20*n = 0.
-2, 0, 1, 2
Factor 5*l**3/4 - 35*l**2/4 + 10*l + 20.
5*(l - 4)**2*(l + 1)/4
Determine j, given that -2*j**3/9 - 28*j**2/9 - 110*j/9 - 28/3 = 0.
-7, -6, -1
Factor -40*c**2 - 125*c - 15.
-5*(c + 3)*(8*c + 1)
Solve z**4 - 4*z**3 - z**2 + 4*z = 0.
-1, 0, 1, 4
Find p, given that 2*p**3 - 42*p**2 + 244*p - 336 = 0.
2, 7, 12
Find r, given that 21*r**5/4 + 215*r**4/4 + 23*r**3/4 - 275*r**2/4 - 11*r + 15 = 0.
-10, -1, -2/3, 3/7, 1
Factor -2*j**5/17 - 82*j**4/17 - 880*j**3/17 - 800*j**2/17.
-2*j**2*(j + 1)*(j + 20)**2/17
Let -3*g**3 + 2514*g**2 - 526683*g = 0. Calculate g.
0, 419
Suppose 26*b**3/7 + 18*b**2/7 - 8*b/7 = 0. What is b?
-1, 0, 4/13
Suppose -s**4/4 + 3*s**3/2 - 5*s**2/4 = 0. Calculate s.
0, 1, 5
Factor 4*z**3 + 96*z**2 + 176*z.
4*z*(z + 2)*(z + 22)
Let 24*x**3/7 - 68*x**2/7 + 6*x + 9/7 = 0. Calculate x.
-1/6, 3/2
Solve -5*i**4/4 + 5*i**3/4 + 65*i**2/4 - 125*i/4 + 15 = 0 for i.
-4, 1, 3
Suppose 4*n**4 - 28*n**3 - 796*n**2 + 28*n + 792 = 0. Calculate n.
-11, -1, 1, 18
Factor -2*i**4 + 8*i**3 + 70*i**2 - 300*i.
-2*i*(i - 5)**2*(i + 6)
Suppose -s**5/5 + 22*s**4/5 + 31*s**3 + 352*s**2/5 + 332*s/5 + 112/5 = 0. Calculate s.
-2, -1, 28
Factor 17*o**4/3 - 46*o**3 + 220*o**2/3 - 8*o.
o*(o - 6)*(o - 2)*(17*o - 2)/3
Suppose -847*o**5/3 - 5764*o**4/3 - 1360*o**3 + 48*o**2 + 144*o = 0. What is o?
-6, -6/11, 0, 2/7
Factor 4*n**2 - 2032*n - 2036.
4*(n - 509)*(n + 1)
Find y such that -7*y**5/4 + 5*y**4/4 + 9*y**3/4 - 5*y**2/4 - y/2 = 0.
-1, -2/7, 0, 1
Factor 10*p**3/7 - 534*p**2/7 + 212*p/7.
2*p*(p - 53)*(5*p - 2)/7
Determine i so that 9*i**4/7 - 201*i**3/7 + 237*i**2/7 + 321*i/7 - 18 = 0.
-1, 1/3, 2, 21
What is b in b**5/2 - 7*b**3/2 - 3*b**2 = 0?
-2, -1, 0, 3
Factor -k**4/8 + k**3 - 17*k**2/8 + 5*k/4.
-k*(k - 5)*(k - 2)*(k - 1)/8
Determine t so that 4*t**2 + 304*t - 308 = 0.
-77, 1
What is b in 2*b**4/5 - 6*b**3 + 18*b**2 - 2*b - 132/5 = 0?
-1, 2, 3, 11
Let 9*i**4 + 258*i**3 - 357*i**2 + 90*i = 0. Calculate i.
-30, 0, 1/3, 1
Determine k, given that 20*k**5 - 348*k**4 - 264*k**3 + 880*k**2 - 288*k = 0.
-2, 0, 2/5, 1, 18
Let -50*m**4/3 - 140*m**3/3 + 104*m**2 + 304*m/3 + 64/3 = 0. What is m?
-4, -2/5, 2
Suppose -3*m**4/8 + 93*m**3/8 - 315*m**2/4 = 0. Calculate m.
0, 10, 21
Factor -2*t**2/3 - 10*t - 28/3.
-2*(t + 1)*(t + 14)/3
Find h, given that 3*h**3/2 + 3*h**2 - 27*h/2 - 27 = 0.
-3, -2, 3
Solve 6*h**3/5 - 21*h**2/5 - 204*h/5 - 96/5 = 0.
-4, -1/2, 8
Determine k so that 9*k**3 - 132*k**2 + 201*k - 78 = 0.
2/3, 1, 13
Factor 2*z**2 + 24*z - 128.
2*(z - 4)*(z + 16)
Factor -5*c**3 - 85*c**2 + 5*c + 85.
-5*(c - 1)*(c + 1)*(c + 17)
Solve 2*m**5/19 + 28*m**4/19 + 118*m**3/19 + 116*m**2/19 - 120*m/19 - 144/19 = 0 for m.
-6, -2, -1, 1
Suppose 5*r**3/8 + 2811*r**2/8 + 395367*r/8 + 78961/8 = 0. Calculate r.
-281, -1/5
Factor -q**2/5 - 128*q/5 - 4096/5.
-(q + 64)**2/5
Find v such that v**4/6 - 17*v**3/3 + 31*v**2/2 = 0.
0, 3, 31
Let 2*c**2/3 - 26*c/3 + 28 = 0. Calculate c.
6, 7
Let -t**4/4 - 481*t**3/8 - 4830*t**2 - 130400*t - 64000 = 0. Calculate t.
-80, -1/2
Factor -2*p**3/9 - 104*p**2/9 - 1450*p/9 - 2500/9.
-2*(p + 2)*(p + 25)**2/9
Let q**5 - 1158*q**4 + 335238*q**3 + 3472*q**2 - 1003407*q - 670482 = 0. Calculate q.
-1, 2, 579
Factor 3*h**2/2 - 2049*h - 4101/2.
3*(h - 1367)*(h + 1)/2
Factor 5*j**2 - 30*j.
5*j*(j - 6)
Determine j so that -2*j**3/21 - 2*j**2/21 + 16*j/21 + 8/7 = 0.
-2, 3
Factor h**3/2 - 5*h**2/2 - h/2 + 5/2.
(h - 5)*(h - 1)*(h + 1)/2
Suppose -100*p**2 - 1120*p - 3136 = 0. Calculate p.
-28/5
Factor r**4 + 20*r**3 - 12*r**2 - 224*r + 320.
(r - 2)**2*(r + 4)*(r + 20)
Factor -4*y**2/7 + 104*y/7 - 100/7.
-4*(y - 25)*(y - 1)/7
Find d, given that -20*d**5 - 36*d**4 + 708*d**3 - 140*d**2 = 0.
-7, 0, 1/5, 5
Solve 3*o**3/8 + 21219*o**2/8 + 37509885*o/8 - 37531107/8 = 0 for o.
-3537, 1
Suppose 2*w**2 - 1844*w + 1842 = 0. Calculate w.
1, 921
Factor 15*r**4 + 99*r**3 + 123*r**2 + 9*r - 30.
3*(r + 1)**2*(r + 5)*(5*r - 2)
Factor m**4/2 + m**3/2 - m**2.
m**2*(m - 1)*(m + 2)/2
Determine f, given that 8*f**4/3 - 22*f**3/3 - 2*f**2 = 0.
-1/4, 0, 3
Find b such that b**4/3 - 22*b**3/3 - 23*b**2/3 = 0.
-1, 0, 23
Factor 2*z**2 - 24*z + 40.
2*(z - 10)*(z - 2)
What is y in -4*y**3 - 9*y**2 - 6*y - 1 = 0?
-1, -1/4
Factor 3*h**3 - 153*h**2 + 150*h.
3*h*(h - 50)*(h - 1)
Find r, given that 3*r**3 + 33*r**2 - 36*r = 0.
-12, 0, 1
Factor -x**2/7 + 64*x/7 - 943/7.
-(x - 41)*(x - 23)/7
Find u, given that -3*u**2/8 - 9*u + 39/2 = 0.
-26, 2
Factor 2*q**4 + 22*q**3 - 28*q**2 - 48*q.
2*q*(q - 2)*(q + 1)*(q + 12)
Suppose o**3 + 6*o**2 + 11*o + 6 = 0. Calculate o.
-3, -2