. What is a?
-1, 7
Factor -2*a**4/5 + 4*a**3 - 32*a**2/5.
-2*a**2*(a - 8)*(a - 2)/5
Factor y**4 - 63*y**3 + 1182*y**2 - 5824*y + 4704.
(y - 28)**2*(y - 6)*(y - 1)
Factor -4*u**4 + 72*u**3 - 68*u**2.
-4*u**2*(u - 17)*(u - 1)
Solve 125*i**4 + 27875*i**3 - 20*i**2 - 4460*i = 0.
-223, -2/5, 0, 2/5
Factor s**3 - 4*s**2 - 3*s + 18.
(s - 3)**2*(s + 2)
Factor 2*k**5/15 + 1412*k**4/15 + 94*k**3.
2*k**3*(k + 1)*(k + 705)/15
Suppose x**4/2 - 3*x**3 - 67*x**2/2 - 36*x + 72 = 0. Calculate x.
-4, -3, 1, 12
Let -27*n**4 + 492*n**3 - 2700*n**2 + 4032*n - 768 = 0. Calculate n.
2/9, 2, 8
Suppose 4*o**5/3 + 23*o**4 - 55*o**3/3 - 6*o**2 = 0. What is o?
-18, -1/4, 0, 1
Factor -4*w**3/9 - 77*w**2/9 - 80*w/3 + 25.
-(w + 5)*(w + 15)*(4*w - 3)/9
Factor 4*a**5 + 52*a**4 + 216*a**3 + 376*a**2 + 292*a + 84.
4*(a + 1)**3*(a + 3)*(a + 7)
Factor 21*k**5 + 114*k**4 - 492*k**3/7 + 72*k**2/7.
3*k**2*(k + 6)*(7*k - 2)**2/7
Factor -2*q**3/11 + 42*q**2/11 - 18*q - 22.
-2*(q - 11)**2*(q + 1)/11
Determine x, given that -x**3/4 - 45*x**2/4 - 87*x/4 - 43/4 = 0.
-43, -1
Determine y, given that -12*y**3 + 536*y**2 - 352*y = 0.
0, 2/3, 44
Find f such that 8*f**4 + 22*f**3 - 51*f**2 - 46*f - 8 = 0.
-4, -1/2, -1/4, 2
Factor 3*j**3/8 - 3*j**2/2 + 9*j/8.
3*j*(j - 3)*(j - 1)/8
Factor r**2/4 + 17*r/4 - 9/2.
(r - 1)*(r + 18)/4
Determine j, given that j**4/8 - 63*j**3/8 + 120*j**2 + 128*j = 0.
-1, 0, 32
Suppose 2*s**4/5 - 146*s**3/5 + 828*s**2/5 - 1624*s/5 + 1072/5 = 0. What is s?
2, 67
Factor 5*x**4 - 35*x**3 + 30*x**2 + 160*x - 160.
5*(x - 4)**2*(x - 1)*(x + 2)
Factor 4*s**2/3 + 412*s/3 + 776.
4*(s + 6)*(s + 97)/3
Factor -5*k**4 + 10*k**3 + 15*k**2 - 40*k + 20.
-5*(k - 2)*(k - 1)**2*(k + 2)
Factor 5*y**3 + 15*y**2 - 30*y - 40.
5*(y - 2)*(y + 1)*(y + 4)
Suppose r**5/3 + 6*r**4 + 119*r**3/3 + 118*r**2 + 156*r + 72 = 0. Calculate r.
-6, -3, -2, -1
Factor -20*x**2/3 - 46*x/3 - 4.
-2*(x + 2)*(10*x + 3)/3
Let -c**4 + 8*c**3/3 - 5*c**2/3 = 0. Calculate c.
0, 1, 5/3
Factor -l**3/4 - 15*l**2/4 + 4*l.
-l*(l - 1)*(l + 16)/4
Suppose -45*z**4 - 100*z**3 + 205*z**2 + 320*z + 60 = 0. What is z?
-3, -1, -2/9, 2
Factor 4*c**2 + 256*c + 4096.
4*(c + 32)**2
Let -48*k**4 + 100*k**3 + 184*k**2 - 400*k + 32 = 0. What is k?
-2, 1/12, 2
What is l in -4*l**5 + 20*l**4 + 56*l**3 + 8*l**2 - 52*l - 28 = 0?
-1, 1, 7
Suppose -2*i**3 + 100*i**2 + 426*i + 324 = 0. Calculate i.
-3, -1, 54
Factor -2*r**3/5 + 18*r**2/5 + 2*r/5 - 18/5.
-2*(r - 9)*(r - 1)*(r + 1)/5
Solve 12*a**4 - 884*a**3 - 1816*a**2 = 0 for a.
-2, 0, 227/3
What is n in -n**3 - 35*n**2 + 564*n = 0?
-47, 0, 12
Suppose -55*x**4 + 1013*x**3 - 386*x**2 - 500*x - 72 = 0. What is x?
-2/5, -2/11, 1, 18
Factor x**3/5 + 6*x**2 + 288*x/5 + 896/5.
(x + 8)**2*(x + 14)/5
Find y, given that -242*y**4/7 + 7590*y**3/7 - 2396*y**2 + 5352*y/7 - 464/7 = 0.
2/11, 2, 29
Suppose 2*h**3 + 24*h**2 = 0. Calculate h.
-12, 0
Factor 2*n**2/19 + 126*n/19 - 260/19.
2*(n - 2)*(n + 65)/19
Solve 2*b**5/3 + 644*b**4/3 - 1294*b**3/3 + 216*b**2 = 0.
-324, 0, 1
Suppose r**4/7 + 537*r**3/7 + 3198*r**2/7 + 6380*r/7 + 4248/7 = 0. Calculate r.
-531, -2
Solve 28*s**5/3 - 202*s**4/3 + 38*s**3/3 + 1036*s**2/3 - 72*s - 48 = 0 for s.
-2, -2/7, 1/2, 3, 6
Factor a**4/8 + a**3 - a**2 - 12*a + 18.
(a - 2)**2*(a + 6)**2/8
Factor -4*o**3 + 36*o**2 + 136*o + 96.
-4*(o - 12)*(o + 1)*(o + 2)
Suppose -z**5 - z**4 + 12*z**3 + 28*z**2 + 16*z = 0. Calculate z.
-2, -1, 0, 4
Determine u, given that -u**3/10 - 3*u**2/10 + u/10 + 3/10 = 0.
-3, -1, 1
Find r such that 54*r**5 + 63*r**4 - 183*r**3/2 + 5*r**2/4 + 9*r + 1 = 0.
-2, -1/6, 1/2, 2/3
Factor -4*f**4 - 392*f**3 - 8356*f**2 + 61152*f - 97344.
-4*(f - 3)**2*(f + 52)**2
Suppose -4*r**5/5 + 36*r**4/5 + 232*r**3/5 - 296*r**2/5 - 228*r/5 + 52 = 0. Calculate r.
-5, -1, 1, 13
Let -59*d**4/3 + 18764*d**3/3 - 663136*d**2 + 70337360*d/3 - 2382032/3 = 0. What is d?
2/59, 106
Find v, given that -3*v**5 + 15*v**4 - 21*v**3 - 3*v**2 + 24*v - 12 = 0.
-1, 1, 2
Factor 2*t**2 - 8*t - 42.
2*(t - 7)*(t + 3)
Factor 57*j**4 - 222*j**3 + 147*j**2 + 18*j.
3*j*(j - 3)*(j - 1)*(19*j + 2)
Factor 2*c**3 + 100*c**2 + 778*c + 1640.
2*(c + 4)*(c + 5)*(c + 41)
Determine b, given that 2*b**3 + 48*b**2 - 216*b + 224 = 0.
-28, 2
Solve -170*t**5/3 + 228*t**4 - 526*t**3/3 - 668*t**2/3 + 232*t - 16/3 = 0 for t.
-1, 2/85, 1, 2
What is u in u**2 + 136*u - 276 = 0?
-138, 2
What is x in -3*x**2/7 - 3*x/7 + 60/7 = 0?
-5, 4
Find l such that 2*l**3/7 - 214*l**2/7 - 668*l/7 + 880/7 = 0.
-4, 1, 110
Suppose 3*c**3 + 228*c**2 + 663*c + 438 = 0. What is c?
-73, -2, -1
Determine q, given that 3*q**4 + 12*q**3 - 18*q**2 - 108*q - 81 = 0.
-3, -1, 3
Suppose 4*t**2 + 656*t + 26896 = 0. Calculate t.
-82
Factor 4*m**2 - 784*m - 4020.
4*(m - 201)*(m + 5)
Determine j, given that 18*j**5/5 - 72*j**4/5 - 70*j**3 + 1548*j**2/5 - 1128*j/5 - 112 = 0.
-14/3, -1/3, 2, 5
Factor -10*m**2 + 56*m + 24.
-2*(m - 6)*(5*m + 2)
Let 2*j**3 - 86*j**2 + 860*j - 1392 = 0. What is j?
2, 12, 29
What is w in -32*w**2/3 - 8*w - 4/3 = 0?
-1/2, -1/4
Determine t so that -4*t**2 - 56*t + 60 = 0.
-15, 1
Solve -2*c**3/11 - 10*c**2/11 + 4*c/11 + 48/11 = 0 for c.
-4, -3, 2
Factor -5*m**2 + 24260*m - 29427380.
-5*(m - 2426)**2
What is q in -20*q**5 - 2815*q**4 - 97275*q**3 + 125315*q**2 - 25205*q = 0?
-71, 0, 1/4, 1
Suppose -3*q**4/7 - 141*q**3/7 - 1584*q**2/7 + 1728*q/7 = 0. What is q?
-24, 0, 1
Factor -10*h**2 + 2764*h - 1104.
-2*(h - 276)*(5*h - 2)
What is l in 12*l**5 + 10*l**4 - 37*l**3/4 - 39*l**2/4 - 11*l/4 - 1/4 = 0?
-1, -1/3, -1/4, 1
Let 5*r**3/2 + 2190*r**2 + 639480*r + 62242720 = 0. What is r?
-292
Factor -2*a**3/5 + 4*a**2/5 + 2*a/5 - 4/5.
-2*(a - 2)*(a - 1)*(a + 1)/5
Determine l so that 4*l**5 + 156*l**4 + 704*l**3 + 800*l**2 - 576*l - 1088 = 0.
-34, -2, 1
Factor 147*s**2 + 168*s + 48.
3*(7*s + 4)**2
Find a, given that -5*a**2 + 355*a - 350 = 0.
1, 70
Factor -2*m**3/17 - 32*m**2/17 + 202*m/17 - 168/17.
-2*(m - 4)*(m - 1)*(m + 21)/17
Solve 2*u**4 - 12*u**3 + 14*u**2 + 12*u - 16 = 0.
-1, 1, 2, 4
Solve -q**3/2 + 21*q**2/2 - 42*q + 32 = 0 for q.
1, 4, 16
Suppose 3*i**5 + 1038*i**4/5 + 17514*i**3/5 - 16152*i**2/5 - 4893*i + 4410 = 0. What is i?
-35, -6/5, 1
Let -4*f**3/3 + 350*f**2 + 526*f/3 = 0. Calculate f.
-1/2, 0, 263
Let -225*k**3 + 105*k**2 + 104*k + 16 = 0. What is k?
-4/15, 1
Factor -4*i**4 + 3188*i**3 + 6392*i**2.
-4*i**2*(i - 799)*(i + 2)
Factor -n**2/10 - 166*n/5 - 331/10.
-(n + 1)*(n + 331)/10
Factor -5*s**2 - 90*s + 575.
-5*(s - 5)*(s + 23)
Factor 2*i**4/7 + 2*i**3/7 - 12*i**2/7.
2*i**2*(i - 2)*(i + 3)/7
Factor -l**3 - 22*l**2 - 75*l - 54.
-(l + 1)*(l + 3)*(l + 18)
Find l, given that 5*l**5 + 105*l**4 - 920*l**3 + 1700*l**2 + 480*l - 2240 = 0.
-28, -1, 2, 4
Solve -1682*d**2/7 + 116*d/7 - 2/7 = 0.
1/29
Find q such that -4*q**4/3 + 8*q**3/3 + 20*q**2 - 128*q/3 + 64/3 = 0.
-4, 1, 4
Factor -578*w**3/9 - 136*w**2 - 46*w/3 - 4/9.
-2*(w + 2)*(17*w + 1)**2/9
Factor -p**2/4 + 42*p + 513/4.
-(p - 171)*(p + 3)/4
Determine n, given that 2*n**5/9 + 20*n**4 + 856*n**3/9 + 500*n**2/9 - 286*n/3 - 680/9 = 0.
-85, -4, -1, 1
Solve 5*g**2 + 140*g - 465 = 0.
-31, 3
Suppose -j**5 + 43*j**4 + 45*j**3 - 43*j**2 - 44*j = 0. What is j?
-1, 0, 1, 44
Determine i so that 45*i**3 + 7926*i**2 + 8937*i + 2100 = 0.
-175, -4/5, -1/3
Factor -f**2 + 91*f - 178.
-(f - 89)*(f - 2)
Let -686*y**3 + 1764*y**2 - 1512*y + 432 = 0. What is y?
6/7
Suppose -k**5 + 123*k**4 - 5043*k**3 + 68921*k**2 = 0. What is k?
0, 41
Factor 2*v**4/7 - 2*v**3/7 - 12*v**2/7 + 8*v/7 + 16/7.
2*(v - 2)**2*(v + 1)*(v + 2)/7
Factor 2*v**2/5 - 58*v/5 - 264/5.
2*(v - 33)*(v + 4)/5
Factor 5*l**4 - 10*l**3.
5*l**3*(l - 2)
Factor 2*g**3/7 + 42*g**2 + 352*g - 2760/7.
2*(g - 1)*(g + 10)*(g + 138)/7
Factor -11881*z**3 - 202413*z**2 - 7416*z - 68.
-(z + 17)*(109*z + 2)**2
Factor -4*x**3 - 640*x**2 + 1948*x - 1304.
-4*(x - 2)*(x - 1)*(x + 163)
Factor 10*j**5 + 55*j**4 + 115*j**3 + 115*j**2 + 55*j + 10.
5*(j + 1)**3*(j + 2)*(2*j + 1)
Suppose 125*n**4 + 18025*n**3 + 21270*n**2 - 25700*n + 5720 = 0. Calculate n.
-143, -2, 2/5
Suppose -j**4/4 + 2*j**3 - 3*j**2/4 - 8*j + 7 = 0. What is j?
-2, 1, 2, 7
Find m such that -m**3/7 - 47*m**2/7 - 255*m/7 - 369/7 = 0.
-41, -3
Factor -2*v**2 + 46*v - 84.
-2*(v - 21)*(v - 2)
Find k such that 6*k**4 + 8*k**3 - 18*k**2 - 36*k - 16 = 0.
-4/3, -1, 2
Determine p, given that 2*p**2