*f**2 + 8*f + 24 = 0. What is f?
-1, 2, 6
Factor -x**3 + 34*x**2 + 35*x.
-x*(x - 35)*(x + 1)
Factor 2*u**2/13 - 56*u/13 + 374/13.
2*(u - 17)*(u - 11)/13
Factor -3*o**5/2 + 3*o**4/2 + 15*o**3/2 + 9*o**2/2.
-3*o**2*(o - 3)*(o + 1)**2/2
Factor 3*z**3 + 39*z**2 + 90*z.
3*z*(z + 3)*(z + 10)
Factor -6*k**3/5 + 49*k**2/5 - 20*k.
-k*(k - 4)*(6*k - 25)/5
Find i, given that -i**2/5 - 2356*i/5 = 0.
-2356, 0
Suppose -5*k**3 - 50*k**2 - 160*k - 160 = 0. Calculate k.
-4, -2
Find c such that 3*c**5/4 - 37*c**4/4 + 16*c**3 + 18*c**2 - 28*c - 20 = 0.
-1, -2/3, 2, 10
Factor u**3/12 - 5*u**2/12 - 34*u/3 + 35/3.
(u - 14)*(u - 1)*(u + 10)/12
Let n**5/3 - 11*n**4/3 + n**3/3 + 79*n**2/3 + 106*n/3 + 40/3 = 0. Calculate n.
-1, 4, 10
Solve k**4/2 + k**3/4 - k**2/4 = 0.
-1, 0, 1/2
What is z in -z**2/4 - 415*z/2 - 172225/4 = 0?
-415
Suppose 2*g**2/5 - 2*g + 12/5 = 0. What is g?
2, 3
Determine h, given that -h**3/7 - h**2/7 + 96*h/7 + 396/7 = 0.
-6, 11
Let -5*r**4/4 - 43*r**3/4 - 55*r**2/2 - 18*r = 0. What is r?
-4, -18/5, -1, 0
Factor 5*a**3/3 + 1730*a**2 - 10425*a + 15660.
5*(a - 3)**2*(a + 1044)/3
Suppose 5*c**5 + 5*c**4 - 75*c**3 + 115*c**2 - 50*c = 0. Calculate c.
-5, 0, 1, 2
Factor -3*o**4/5 + 24*o**3.
-3*o**3*(o - 40)/5
Factor v**4/3 + 7*v**3/3 + 4*v**2 - 4*v/3 - 16/3.
(v - 1)*(v + 2)**2*(v + 4)/3
What is f in 5*f**2 + 1570*f + 123245 = 0?
-157
Factor -43740*s**4 - 126117*s**3/2 - 29079*s**2 - 5502*s - 372.
-3*(9*s + 2)**3*(40*s + 31)/2
Factor 9*s**2 + 5943*s - 3966.
3*(s + 661)*(3*s - 2)
Factor -2*t**4 - 21*t**3 - 69*t**2 - 56*t + 48.
-(t + 3)*(t + 4)**2*(2*t - 1)
Factor 49*r**4 + 28*r**3 - 192*r**2 - 112*r - 16.
(r - 2)*(r + 2)*(7*r + 2)**2
Factor -k**3/12 + 23*k**2/12 - 14*k + 33.
-(k - 11)*(k - 6)**2/12
Factor -3*w**3/8 - 66*w**2 + 7833*w/8 - 13965/4.
-3*(w - 7)**2*(w + 190)/8
Determine q, given that -3*q**2/2 + 699*q/2 + 1422 = 0.
-4, 237
Factor 6*a**3/5 + 9*a**2 + 18*a/5 - 21/5.
3*(a + 1)*(a + 7)*(2*a - 1)/5
Suppose 2*z**2 + 462*z + 460 = 0. What is z?
-230, -1
Factor -3*h**3/7 - 3204*h**2/7 - 12780*h/7 - 1824.
-3*(h + 2)**2*(h + 1064)/7
Find v such that -v**3/5 + 46*v**2 - 457*v/5 + 228/5 = 0.
1, 228
Factor -2*a**2/5 - 92*a/5 - 816/5.
-2*(a + 12)*(a + 34)/5
Determine r so that 3*r**2/5 + 78*r + 9792/5 = 0.
-96, -34
Let 4*x**2 + 304*x + 4620 = 0. Calculate x.
-55, -21
Factor -3*l**4/7 - 96*l**3/7 - 960*l**2/7 - 3072*l/7.
-3*l*(l + 8)**2*(l + 16)/7
Factor 5*w**3 + 5*w**2 - 70*w - 120.
5*(w - 4)*(w + 2)*(w + 3)
Solve 16*j**2 + 1218*j + 152 = 0.
-76, -1/8
Determine z so that -21*z**3 - 7083*z**2 - 9078*z - 2016 = 0.
-336, -1, -2/7
Factor 3*o**2/8 + 723*o/8 + 717/4.
3*(o + 2)*(o + 239)/8
Factor -2*i**2/15 + 8*i/3 - 10.
-2*(i - 15)*(i - 5)/15
Solve -m**5 - 5*m**4 - 2*m**3 + 8*m**2 = 0.
-4, -2, 0, 1
Find k, given that k**3 + 1557*k**2 + 3111*k + 1555 = 0.
-1555, -1
Find y such that -8*y**5 + 6*y**4 + 74*y**3 + 106*y**2 + 54*y + 8 = 0.
-1, -1/4, 4
Suppose 64*l**5 - 15424*l**4 - 46724*l**3 - 30268*l**2 + 2920*l + 1952 = 0. Calculate l.
-2, -1, -1/4, 1/4, 244
Solve -10*v**4/3 - 106*v**3/3 - 136*v**2/3 + 24*v = 0.
-9, -2, 0, 2/5
Factor -4*x**2/7 - 72*x/7 + 76/7.
-4*(x - 1)*(x + 19)/7
What is b in -2*b**3 + 152*b**2 - 2888*b = 0?
0, 38
Solve -2*r**5/7 + 2*r**4/7 + 10*r**3/7 - 10*r**2/7 - 8*r/7 + 8/7 = 0 for r.
-2, -1, 1, 2
Determine v so that -v**2 + 31*v + 66 = 0.
-2, 33
Suppose r**2 + 3*r + 2 = 0. What is r?
-2, -1
Solve -2*q**2/3 - 326*q/3 - 644/3 = 0 for q.
-161, -2
Suppose 2*v**4/5 + 8*v**3/5 - 54*v**2/5 - 28*v + 80 = 0. What is v?
-5, 2, 4
Factor -s**2 - 50*s + 51.
-(s - 1)*(s + 51)
Solve y**5 + y**4 - 3*y**3 - y**2 + 2*y = 0.
-2, -1, 0, 1
Let 10*o**3/21 + 326*o**2/21 = 0. What is o?
-163/5, 0
Let -38*z**4/5 - 718*z**3/5 + 114*z**2/5 + 718*z/5 - 76/5 = 0. Calculate z.
-19, -1, 2/19, 1
Suppose -2*g**5/9 - 32*g**4/9 - 104*g**3/9 + 92*g**2/9 + 266*g/9 - 220/9 = 0. Calculate g.
-11, -5, -2, 1
Suppose -2*j**5/5 + 34*j**4/5 - 32*j**3/5 - 280*j**2 + 320*j + 3200 = 0. What is j?
-4, 5, 10
Determine d so that -2*d**2/11 - 124*d/11 = 0.
-62, 0
Find t such that 8*t**4/9 + 110*t**3/9 - 34*t**2/9 - 28*t/3 = 0.
-14, -3/4, 0, 1
Solve -4*z**5 - 440*z**4 + 900*z**3 + 440*z**2 - 896*z = 0.
-112, -1, 0, 1, 2
Determine p so that 25*p**5 + 115*p**4 + 25*p**3 - 155*p**2 - 50*p + 40 = 0.
-4, -1, 2/5, 1
What is b in -b**5 - 237*b**4 - 471*b**3 - 235*b**2 = 0?
-235, -1, 0
Factor 2*g**2/5 - 2312*g/5 + 668168/5.
2*(g - 578)**2/5
Factor 3*b**2/2 + 333*b/2 - 168.
3*(b - 1)*(b + 112)/2
Factor -q**4 + 123*q**3 - 812*q**2.
-q**2*(q - 116)*(q - 7)
What is q in 2*q**2/3 - 82*q/3 - 784/3 = 0?
-8, 49
Determine v, given that v**3 + 817*v**2/8 - 361*v/4 - 103/8 = 0.
-103, -1/8, 1
Determine z, given that 5*z**4 - 95*z**3 + 90*z**2 = 0.
0, 1, 18
Factor 2*c**5/9 + 8*c**4/3 + 8*c**3 + 64*c**2/9.
2*c**2*(c + 2)**2*(c + 8)/9
Determine k, given that k**2/5 + 514*k = 0.
-2570, 0
Find y, given that -y**2 + 15*y - 44 = 0.
4, 11
Suppose -g**2/4 + 5*g/2 - 6 = 0. What is g?
4, 6
Factor p**3 + 9*p**2 - 22*p.
p*(p - 2)*(p + 11)
Factor 48*l**5 + 1224*l**4 + 603*l**3 + 75*l**2.
3*l**2*(l + 25)*(4*l + 1)**2
Determine j, given that j**3 - 40*j**2 - 41*j = 0.
-1, 0, 41
Factor -5*n**2 + 65*n + 1690.
-5*(n - 26)*(n + 13)
Find q, given that -3*q**4 - 411*q**3 + 2118*q**2 - 1704*q = 0.
-142, 0, 1, 4
Factor l**4/4 + 299*l**3/4 - 301*l**2/4 - 299*l/4 + 75.
(l - 1)**2*(l + 1)*(l + 300)/4
Let -153*g**3 - 155*g**2 - 2*g = 0. Calculate g.
-1, -2/153, 0
Let 2*j**4/5 - 34*j**3/5 - 1518*j**2/5 - 2926*j/5 - 1444/5 = 0. Calculate j.
-19, -1, 38
Let -3*x**4 + 21*x**3 - 24*x**2 - 48*x = 0. Calculate x.
-1, 0, 4
Factor 15*y**4 - 65*y**3 + 55*y**2 + 25*y - 30.
5*(y - 3)*(y - 1)**2*(3*y + 2)
Let -75*z**2/2 - 105*z - 147/2 = 0. Calculate z.
-7/5
Solve 2*h**2 - 96*h + 1152 = 0.
24
Find i, given that -5*i**3/2 + 125*i**2/2 + 2185*i/2 - 55545/2 = 0.
-21, 23
Factor -2*n**2 - 72*n - 648.
-2*(n + 18)**2
Determine v, given that -20*v**2 + 188*v - 72 = 0.
2/5, 9
Determine a, given that -a**4 - 4*a**3 + 7*a**2 + 10*a = 0.
-5, -1, 0, 2
Solve -k**3/7 + k**2/7 + 44*k/7 + 96/7 = 0.
-4, -3, 8
Factor -44*d**3 - 184*d**2 - 32*d.
-4*d*(d + 4)*(11*d + 2)
Factor -x**3/6 + 43*x**2/6 + 89*x/6 + 15/2.
-(x - 45)*(x + 1)**2/6
What is d in -5*d**2 - 1355*d + 6900 = 0?
-276, 5
What is f in 2*f**4 + 14*f**3 - 80*f**2 + 88*f = 0?
-11, 0, 2
Let -2*g**2 - 590*g + 6732 = 0. What is g?
-306, 11
Factor 5*o**3 - 1215*o**2 - 2445*o - 1225.
5*(o - 245)*(o + 1)**2
Factor -15*a**3 + 36*a**2 + 108*a - 48.
-3*(a - 4)*(a + 2)*(5*a - 2)
Suppose 3*h**2/5 + 2298*h/5 + 440067/5 = 0. Calculate h.
-383
Determine i, given that 3*i**4 + 6*i**3 - 9*i**2 - 12*i + 12 = 0.
-2, 1
Factor j**4/5 - 23*j**3/5 + 24*j**2 + 144*j/5.
j*(j - 12)**2*(j + 1)/5
Find v such that -5*v**5 - 45*v**4 - 85*v**3 + 45*v**2 + 90*v = 0.
-6, -3, -1, 0, 1
Factor -p**2 + 4554*p - 5184729.
-(p - 2277)**2
Find n such that -4*n**5 + 30*n**4 - 60*n**3 + 10*n**2 + 24*n = 0.
-1/2, 0, 1, 3, 4
Solve 12*s**4 - 5108*s**3 - 22296*s**2 - 27504*s - 6880 = 0.
-2, -1/3, 430
Factor 2*j**2 + 17352*j + 37636488.
2*(j + 4338)**2
Determine i so that 4*i**2/5 - 224*i = 0.
0, 280
What is n in -2*n**4/9 + 10*n**3/9 + 14*n**2/3 - 106*n/9 + 56/9 = 0?
-4, 1, 7
Find j, given that -6*j**4/13 + 122*j**3/13 - 360*j**2/13 - 872*j/13 - 384/13 = 0.
-1, -2/3, 6, 16
Factor -2*s**2/5 + 298*s/5 - 232.
-2*(s - 145)*(s - 4)/5
Solve 4*c**5/5 - 2*c**4 - 106*c**3/5 - 134*c**2/5 - 42*c/5 = 0 for c.
-3, -1, -1/2, 0, 7
Solve 4*k**4/3 - 1844*k**3/3 - 3700*k**2/3 - 1852*k/3 = 0 for k.
-1, 0, 463
Determine b, given that -4*b**3/11 + 6*b**2/11 + 6*b/11 - 4/11 = 0.
-1, 1/2, 2
Solve 100*l**5 + 4335*l**4 - 2950*l**3 - 3895*l**2 + 2850*l - 440 = 0 for l.
-44, -1, 1/4, 2/5, 1
Let -4*y**2 + 360*y - 8100 = 0. What is y?
45
Determine h so that 2*h**5/11 + 8*h**4/11 - 28*h**2/11 - 34*h/11 - 12/11 = 0.
-3, -1, 2
What is d in -5*d**5 + 85*d**4 - 305*d**3 - 585*d**2 + 810*d = 0?
-2, 0, 1, 9
Solve -5*z**5 + 10*z**4 - 10*z**2 + 5*z = 0 for z.
-1, 0, 1
Let -w**2 - 34*w - 168 = 0. Calculate w.
-28, -6
Factor 4*g**2 + 48*g - 340.
4*(g - 5)*(g + 17)
Find p, given that -9*p**5/2 + 85*p**4/4 - 9*p**3 - 77*p**2/4 + 27*p/2 - 2 = 0.
-1, 2/9, 1/2, 1, 4
Factor -9*p**3 + 294*p**2 - 192*p.
-3*p*(p - 32)*(3*p - 2)
Suppose 2*u**5/7 + 66*u**4/7 + 230*u**3/7 - 66*u**2/7 - 232*u/7 = 0. What is