0.
-6, -3, 2/5, 2
Factor 5*v**2 + 60*v + 55.
5*(v + 1)*(v + 11)
Factor 2*l**3/3 - 8*l**2/3 + 10*l/3 - 4/3.
2*(l - 2)*(l - 1)**2/3
Factor 3*u**2/4 + 375*u/4 - 189/2.
3*(u - 1)*(u + 126)/4
Suppose -3*l**5/2 + 33*l**4/2 + 135*l**3/2 - 93*l**2/2 - 222*l - 126 = 0. What is l?
-3, -1, 2, 14
Find f such that f**3 + 1352*f**2 = 0.
-1352, 0
Determine t so that -3*t**5 + 30*t**4 + 21*t**3 - 192*t**2 - 180*t = 0.
-2, -1, 0, 3, 10
Find u, given that 12*u**5 + 135*u**4/7 - 75*u**3/7 - 195*u**2/7 - 45*u/7 + 24/7 = 0.
-1, 1/4, 8/7
Factor 5*t**4 + 40*t**3 - 115*t**2 - 150*t.
5*t*(t - 3)*(t + 1)*(t + 10)
Let -4*o**5 - 8*o**4 + 12*o**3 + 32*o**2 + 16*o = 0. Calculate o.
-2, -1, 0, 2
Factor p**2/4 - 19*p/4.
p*(p - 19)/4
Factor 4*p**2 - 880*p - 884.
4*(p - 221)*(p + 1)
Factor 141*k**2 + 140*k - 1.
(k + 1)*(141*k - 1)
Solve -z**5/2 - 19*z**4/2 + 117*z**3/2 - 77*z**2/2 - 58*z + 48 = 0 for z.
-24, -1, 1, 4
Factor -2*m**3 + 44*m**2 - 134*m - 180.
-2*(m - 18)*(m - 5)*(m + 1)
Factor -2*r**3/5 - 534*r**2/5 - 528*r/5 + 1064/5.
-2*(r - 1)*(r + 2)*(r + 266)/5
Factor -651619215*s**3 + 7711470*s**2 - 30420*s + 40.
-5*(507*s - 2)**3
Determine n so that -15*n**4 - 50*n**3 + 55*n**2 + 50*n - 40 = 0.
-4, -1, 2/3, 1
Factor -12*j**4 - 56*j**3 - 68*j**2 - 24*j.
-4*j*(j + 1)*(j + 3)*(3*j + 2)
Factor -3*l**5 + 36*l**4 - 90*l**3 + 84*l**2 - 27*l.
-3*l*(l - 9)*(l - 1)**3
Suppose 6*g**4/5 + 2872*g**3/5 - 578*g**2/3 - 2552*g/5 + 3832/15 = 0. What is g?
-479, -1, 2/3
Factor 3*r**4 + 30*r**3.
3*r**3*(r + 10)
Determine s so that 5*s**3/4 - 5*s**2/4 - 5*s/4 + 5/4 = 0.
-1, 1
Factor -4*s**2 + 1504*s - 141376.
-4*(s - 188)**2
What is m in 2*m**4/21 + 52*m**3/7 + 3194*m**2/21 + 1976*m/7 + 2888/21 = 0?
-38, -1
Factor -3*b**3/5 + 216*b**2 + 3267*b/5.
-3*b*(b - 363)*(b + 3)/5
Factor -j**2 + 1000*j + 2004.
-(j - 1002)*(j + 2)
Suppose 20*c**4 + 520*c**3 + 505*c**2 + 125*c = 0. Calculate c.
-25, -1/2, 0
Factor -3*x**2/4 - 45*x/4 - 21/2.
-3*(x + 1)*(x + 14)/4
What is q in 2*q**3 + 10*q**2 - 88*q + 120 = 0?
-10, 2, 3
Find s, given that 4*s**4 - 12*s**2 + 8*s = 0.
-2, 0, 1
Solve 20*z**5 + 225*z**4 + 395*z**3 - 135*z**2 - 415*z - 90 = 0 for z.
-9, -2, -1, -1/4, 1
Let -4*q**3 - 120*q**2 + 724*q + 840 = 0. What is q?
-35, -1, 6
Suppose 3*u**2 - 5*u/4 - 1/2 = 0. Calculate u.
-1/4, 2/3
Find o such that -o**4/6 - 5*o**3/3 - 7*o**2/2 = 0.
-7, -3, 0
Factor -o**3/5 + 13*o**2/5 - 8*o.
-o*(o - 8)*(o - 5)/5
Factor -2*o**2 - 46*o - 180.
-2*(o + 5)*(o + 18)
Factor 2*b**4/9 + 176*b**3/9 + 3496*b**2/9 - 16928*b/9.
2*b*(b - 4)*(b + 46)**2/9
Suppose -4*l**5/5 + 12*l**3/5 - 8*l**2/5 = 0. What is l?
-2, 0, 1
Factor -q**4 - 8*q**3 - 21*q**2 - 18*q.
-q*(q + 2)*(q + 3)**2
Factor 2*p**2/7 - 790*p/7 - 1588/7.
2*(p - 397)*(p + 2)/7
Factor 2*f**2/3 + 8936*f/3 + 9981512/3.
2*(f + 2234)**2/3
Find a such that -a**2/4 - a = 0.
-4, 0
Find w such that 16*w**5 + 4*w**4 - 400*w**3 - 1060*w**2 - 816*w - 144 = 0.
-3, -2, -1, -1/4, 6
Let -m**3 - 10*m**2 = 0. What is m?
-10, 0
Solve 2*f**5/7 + 8*f**4/7 - 2*f**3/7 - 8*f**2/7 = 0.
-4, -1, 0, 1
Factor 2*t**4/3 - 12*t**3 + 194*t**2/3 - 96*t + 128/3.
2*(t - 8)**2*(t - 1)**2/3
Let 3*k**4 - 30*k**3 + 24*k**2 + 30*k - 27 = 0. Calculate k.
-1, 1, 9
Factor 2*g**2/7 + 156*g/7 - 170.
2*(g - 7)*(g + 85)/7
Factor 2*z**2/5 + 8964*z/5 + 10044162/5.
2*(z + 2241)**2/5
What is a in -3*a**5 + 795*a**4 - 53841*a**3 + 154437*a**2 + 3144*a - 205932 = 0?
-1, 2, 131
Determine p so that -4*p**5 - 376*p**4 + 2756*p**3 - 7192*p**2 + 8048*p - 3232 = 0.
-101, 1, 2
Solve -5*z**2 - 320*z + 325 = 0 for z.
-65, 1
Suppose f**5/2 + 7*f**4 + 30*f**3 + 52*f**2 + 32*f = 0. What is f?
-8, -2, 0
Factor -3*v**3 + 9*v + 6.
-3*(v - 2)*(v + 1)**2
Find w, given that -105*w**5 + 530*w**4 - 750*w**3 + 300*w**2 + 55*w - 30 = 0.
-2/7, 1/3, 1, 3
Suppose 10*j**5/9 - 68*j**4/3 + 74*j**3/9 + 40*j**2/3 = 0. Calculate j.
-3/5, 0, 1, 20
Factor 3*x**3 - 24*x**2 - 93*x - 66.
3*(x - 11)*(x + 1)*(x + 2)
Solve -2*i**4 - 18*i**3 + 18*i**2 + 242*i - 240 = 0 for i.
-8, -5, 1, 3
Solve -9*m**5/2 + 75*m**4/2 - 81*m**3/2 - 315*m**2/2 - 75*m = 0.
-1, -2/3, 0, 5
Factor -2*p**2 - 3734*p + 3736.
-2*(p - 1)*(p + 1868)
Find k such that 60*k**3 - 506*k**2 + 202*k + 48 = 0.
-1/6, 3/5, 8
Factor 2*x**2 + 302*x + 1176.
2*(x + 4)*(x + 147)
Suppose 3*n**3 - 30*n**2 + 48*n = 0. What is n?
0, 2, 8
Factor p**3/4 - 39*p**2/2 + 360*p + 800.
(p - 40)**2*(p + 2)/4
Determine h, given that 2*h**2 + 52*h + 330 = 0.
-15, -11
Determine d, given that -3*d**4 + 12*d**3 - 18*d**2 + 12*d - 3 = 0.
1
Factor -2*l**5 - 4*l**4 + 8*l**3 + 16*l**2.
-2*l**2*(l - 2)*(l + 2)**2
Determine g, given that 2*g**2 - 1126*g - 1128 = 0.
-1, 564
Solve 2*k**5 - 38*k**4 + 254*k**3 - 722*k**2 + 896*k - 392 = 0 for k.
1, 2, 7
Determine p so that p**4/2 + p**3/6 = 0.
-1/3, 0
Factor 4*l**2 + 432*l - 436.
4*(l - 1)*(l + 109)
What is x in -x**5/2 - 17*x**4/3 - 46*x**3/3 - 17*x**2 - 49*x/6 - 4/3 = 0?
-8, -1, -1/3
Let -4*f**2 + 16*f - 12 = 0. Calculate f.
1, 3
What is g in -22*g**4/7 - 372*g**3/7 - 1350*g**2/7 + 1944*g/7 = 0?
-9, 0, 12/11
Factor 2*g**2/19 + 20*g/19.
2*g*(g + 10)/19
Factor -6*h**3/5 - 8*h**2/5 + 8*h/5.
-2*h*(h + 2)*(3*h - 2)/5
Solve -162*g**5 + 180*g**4/7 + 4624*g**3/7 - 736*g**2/7 - 352*g/7 + 64/7 = 0 for g.
-2, -2/7, 2/9, 2
What is x in -5*x**4 - 155*x**3 + 860*x**2 - 1420*x + 720 = 0?
-36, 1, 2
Factor -2*m**2/11 + 18*m/11 - 28/11.
-2*(m - 7)*(m - 2)/11
Suppose 10*n**4/9 + 4*n**3 + 34*n**2/9 - 8/9 = 0. Calculate n.
-2, -1, 2/5
Find c such that 2*c**4/3 - 502*c**3/3 + 14110*c**2 - 1226242*c/3 + 2287148/3 = 0.
2, 83
Factor -5*w**2 - 2900*w - 420500.
-5*(w + 290)**2
Solve 5*u**3 + 1620*u**2 - 5*u - 1620 = 0.
-324, -1, 1
Factor -5*g**5 - 45*g**4 - 105*g**3 - 95*g**2 - 30*g.
-5*g*(g + 1)**3*(g + 6)
Factor 3*k**4 + 27*k**3 + 81*k**2 + 93*k + 36.
3*(k + 1)**2*(k + 3)*(k + 4)
Solve -u**4 - 46*u**3/3 - 32*u**2 - 22*u - 13/3 = 0.
-13, -1, -1/3
Factor 33*y**2/4 + 15*y/4 - 9/2.
3*(y + 1)*(11*y - 6)/4
Factor 5*o**2/2 - 93*o/2 - 19.
(o - 19)*(5*o + 2)/2
Let -5*z**2 + 10*z + 120 = 0. Calculate z.
-4, 6
Let -a**4/4 - 53*a**3/4 + 55*a**2/4 + 53*a/4 - 27/2 = 0. Calculate a.
-54, -1, 1
Determine q so that -361*q**3 - 30001*q**2 - 3155*q - 83 = 0.
-83, -1/19
Factor 2*a**2/11 + 2040*a/11 + 520200/11.
2*(a + 510)**2/11
Determine p, given that 12*p**5 + 116*p**4 + 760*p**3/3 - 168*p**2 - 180*p - 100/3 = 0.
-5, -1/3, 1
Determine o so that -o**4 - 54*o**3 - 52*o**2 + 54*o + 53 = 0.
-53, -1, 1
Determine c, given that 10*c**2 - 5085*c + 2540 = 0.
1/2, 508
Determine a so that -a**5 - 115*a**4 - 4930*a**3 - 92510*a**2 - 609725*a + 707281 = 0.
-29, 1
Suppose 2*k**3/5 - 8*k**2/5 - 58*k/5 - 48/5 = 0. What is k?
-3, -1, 8
Factor -2*j**2/5 - 1464*j/5 - 267912/5.
-2*(j + 366)**2/5
Suppose -k**2/10 + 19*k/5 = 0. What is k?
0, 38
Determine p, given that 3*p**4 + 48*p**3 + 84*p**2 = 0.
-14, -2, 0
Factor -5*u**2 - 49840*u - 124201280.
-5*(u + 4984)**2
Factor -3*s**3 - 6*s**2 + 69*s + 180.
-3*(s - 5)*(s + 3)*(s + 4)
Find a, given that a**3 - 4*a**2 - 60*a + 288 = 0.
-8, 6
What is k in -2*k**5/15 + 4*k**4/3 + 4*k**3/15 - 8*k**2/3 - 2*k/15 + 4/3 = 0?
-1, 1, 10
Let 2*b**2/9 + 20*b/9 + 16/3 = 0. What is b?
-6, -4
Suppose 2*m**3/7 - 96*m**2/7 - 410*m/7 - 312/7 = 0. What is m?
-3, -1, 52
Factor -4*o**4/9 - 76*o**3/3 + 52*o**2 - 236*o/9.
-4*o*(o - 1)**2*(o + 59)/9
Suppose -19*o**2/2 - 151*o/4 + 1 = 0. Calculate o.
-4, 1/38
Factor 4*b**2/3 - 96*b + 560/3.
4*(b - 70)*(b - 2)/3
Suppose -125*l**2/6 - 68650*l/3 - 18851290/3 = 0. What is l?
-2746/5
Suppose w**2/4 - 41*w/4 = 0. Calculate w.
0, 41
Let -4*f**4 - 516*f**3 - 2012*f**2 - 1500*f = 0. Calculate f.
-125, -3, -1, 0
Suppose a**3/5 - 24*a**2/5 - 432*a - 5120 = 0. What is a?
-20, 64
Solve c**2 + 4786*c + 5726449 = 0 for c.
-2393
Factor p**5/3 - 8*p**4/3 + 22*p**3/3 - 8*p**2 + 3*p.
p*(p - 3)**2*(p - 1)**2/3
Suppose 25*y**2 - 65*y + 40 = 0. What is y?
1, 8/5
Suppose -4*j**3 + 416*j**2 + 420*j = 0. Calculate j.
-1, 0, 105
Solve 2*m**5/7 + 38*m**4/7 - 40*m**3/7 = 0.
-20, 0, 1
Let 3*p**2 + 258*p - 4545 = 0. What is p?
-101, 15
Suppose 3*l**4 + 3*l**3 - 108*l**2 - 108*l = 0. Calculate l.
-6, -1, 0, 6
Factor -v**4/3 + 44*v**3/3 - 272*v**2/3 - 4784*v/3 - 2704.
-(v - 26)**2*(v + 2)*(v + 6)/3
Find j such that -j**3 + 50*j**2 - 625*j = 0.
0, 25
Factor -18*q**3 - 850*q**2 - 1016*q - 184.
-2*(q + 1)*(q + 