 + 10*q**4 + 55*q**3 - 60*q**2 - 180*q.
-5*q*(q - 3)**2*(q + 2)**2
Suppose 2*c**5/7 + 64*c**4/7 + 236*c**3/7 - 960*c**2/7 - 162*c = 0. Calculate c.
-27, -7, -1, 0, 3
Determine x, given that -x**5/2 + 11*x**4/2 + 22*x**3 - 8*x**2 - 80*x - 56 = 0.
-2, -1, 2, 14
Solve 15*f**3 + 429*f**2 - 60*f - 1716 = 0 for f.
-143/5, -2, 2
Factor 3*f**3/4 + 9*f**2/2 + 33*f/4 + 9/2.
3*(f + 1)*(f + 2)*(f + 3)/4
Determine x, given that -3*x**3/2 + 171*x**2/2 - 81*x - 168 = 0.
-1, 2, 56
Factor -3*u**3 + 222*u**2 - 1632*u + 3168.
-3*(u - 66)*(u - 4)**2
Find q, given that 2*q**3/3 - 338*q**2/3 + 1866*q - 8154 = 0.
9, 151
Solve -4*f**3 - 44*f**2 - 28*f + 588 = 0.
-7, 3
What is a in -2*a**3/19 - 146*a**2/19 + 8*a + 296/19 = 0?
-74, -1, 2
Solve h**5/4 + 7*h**4/4 - 11*h**3 = 0.
-11, 0, 4
Factor -w**2/6 + 49*w/6 - 8.
-(w - 48)*(w - 1)/6
Determine w so that -2*w**2/21 + 10*w/3 - 44/7 = 0.
2, 33
Solve -4*z**4 - 64*z**3 - 60*z**2 = 0 for z.
-15, -1, 0
Factor l**2 - 444*l + 49284.
(l - 222)**2
Determine y so that y**4 - 236*y**3 - 955*y**2 - 1198*y - 480 = 0.
-2, -1, 240
Solve 2*g**4/21 + 134*g**3/21 + 808*g**2/7 + 5632*g/21 - 8192/21 = 0.
-32, -4, 1
Factor -2*u**2/5 + 6*u/5.
-2*u*(u - 3)/5
Find y, given that -7*y**4 - 41*y**3 + 13*y**2 + 41*y - 6 = 0.
-6, -1, 1/7, 1
Determine w, given that w**3/3 + 13*w**2/3 + 40*w/3 + 12 = 0.
-9, -2
Factor 4*n**3/3 - 32*n**2 + 68*n/3 + 184.
4*(n - 23)*(n - 3)*(n + 2)/3
Suppose 4*u**5 + 8*u**4 - 32*u**3 - 72*u**2 - 36*u = 0. What is u?
-3, -1, 0, 3
Let 5*q**5 + 55*q**4 + 40*q**3 - 100*q**2 = 0. Calculate q.
-10, -2, 0, 1
Factor 2*w**2/7 + 22*w - 156/7.
2*(w - 1)*(w + 78)/7
Factor 18*n**2 - 964*n - 432.
2*(n - 54)*(9*n + 4)
Solve i**2 + 21*i + 20 = 0 for i.
-20, -1
Factor -u**4 + 35*u**3 + 152*u**2 + 156*u.
-u*(u - 39)*(u + 2)**2
Factor -3*n**3 + 93*n**2 - 765*n + 675.
-3*(n - 15)**2*(n - 1)
Suppose v**2/5 + 389*v/5 = 0. Calculate v.
-389, 0
Let x**3/5 - 5*x**2 + 123*x/5 - 171/5 = 0. What is x?
3, 19
Solve -2*z**4 - 5*z**3 + 2*z**2 + 11*z + 6 = 0 for z.
-2, -1, 3/2
Factor -2*q**2/21 + 2*q/3 - 8/7.
-2*(q - 4)*(q - 3)/21
Suppose -f**5 + 146*f**4 - 5328*f**3 - 146*f**2 + 5329*f = 0. What is f?
-1, 0, 1, 73
What is i in -i**5/6 - 2*i**4/3 + 3*i**3/2 + 32*i**2/3 + 50*i/3 + 8 = 0?
-3, -2, -1, 4
What is p in 130*p**4/9 - 2*p**3/3 - 134*p**2/9 + 2*p/3 + 4/9 = 0?
-1, -2/13, 1/5, 1
Solve g**2/5 - 14*g + 245 = 0.
35
Let -2*w**2/7 - 6*w/7 - 4/7 = 0. What is w?
-2, -1
What is y in -y**5/7 - 181*y**4/7 - 359*y**3/7 - 179*y**2/7 = 0?
-179, -1, 0
Find y, given that -2*y**2/3 - 510*y + 1536 = 0.
-768, 3
What is y in -2*y**3/7 + 4*y**2 - 88*y/7 + 80/7 = 0?
2, 10
Find u such that -14*u**5/3 - 80*u**4/3 - 48*u**3 - 92*u**2/3 - 2*u/3 + 4 = 0.
-3, -1, 2/7
Determine o so that 5*o**5/3 + 35*o**4 + 230*o**3 + 2020*o**2/3 + 920*o + 480 = 0.
-12, -3, -2
Factor -3*s**3 - 15*s**2 + 612*s.
-3*s*(s - 12)*(s + 17)
Factor -4*k**2/5 - 616*k/5 - 23716/5.
-4*(k + 77)**2/5
Find a such that 44*a**5 - 124*a**4 + 108*a**3 - 20*a**2 - 8*a = 0.
-2/11, 0, 1
Let -9*n**4/5 - 102*n**3/5 - 243*n**2/5 - 6*n/5 + 144/5 = 0. Calculate n.
-8, -3, -1, 2/3
Factor -5*d**2 - 45*d - 70.
-5*(d + 2)*(d + 7)
Factor 372*t**2/5 - 369*t/5 - 3/5.
3*(t - 1)*(124*t + 1)/5
Factor f**4/2 - f**3 - 3*f**2/2 + 2*f + 2.
(f - 2)**2*(f + 1)**2/2
Factor -45*x**4 - 14370*x**3 - 19100*x**2 - 6360*x.
-5*x*(x + 318)*(3*x + 2)**2
Factor i**2/4 - 6*i + 36.
(i - 12)**2/4
Suppose -k**3/4 + 49*k**2/4 - 779*k/4 + 3971/4 = 0. What is k?
11, 19
What is r in 2*r**3 + 60*r**2 + 384*r + 704 = 0?
-22, -4
Factor 2*u**2 + 68*u + 66.
2*(u + 1)*(u + 33)
Factor -141*m**2 + 126*m + 15.
-3*(m - 1)*(47*m + 5)
Suppose 10*u**5 - 484*u**4 + 8832*u**3 - 72576*u**2 + 235008*u - 82944 = 0. What is u?
2/5, 12
Factor -5*b**3 + 20*b**2 + 220*b - 480.
-5*(b - 8)*(b - 2)*(b + 6)
Determine x so that 98*x**2/13 + 924*x/13 + 2178/13 = 0.
-33/7
Find j, given that j**5/5 + 2*j**4 + 6*j**3 + 8*j**2 + 5*j + 6/5 = 0.
-6, -1
What is m in m**2/4 - 383*m/4 + 191/2 = 0?
1, 382
Let -15*i**5 + 10*i**4 + 180*i**3 + 120*i**2 - 160*i = 0. What is i?
-2, 0, 2/3, 4
Suppose 5*z**5 - 560*z**4 - 565*z**3 = 0. What is z?
-1, 0, 113
Factor w**5/7 + 86*w**4/7 + 492*w**3/7 + 968*w**2/7 + 640*w/7.
w*(w + 2)**3*(w + 80)/7
What is l in 4*l**2/3 - 20264*l/3 + 25664356/3 = 0?
2533
Factor -4*n**3/5 - 696*n**2/5 - 40368*n/5 - 780448/5.
-4*(n + 58)**3/5
Solve -5*k**2 - 30*k - 25 = 0.
-5, -1
Find t, given that 10*t**5 + 724*t**4 - 2722*t**3 + 1076*t**2 + 912*t = 0.
-76, -2/5, 0, 1, 3
Solve j**5/2 - 2*j**4 + j**3 + 2*j**2 - 3*j/2 = 0 for j.
-1, 0, 1, 3
Factor s**2 - 84*s - 1372.
(s - 98)*(s + 14)
Determine d, given that 180*d**5 + 392*d**4 + 228*d**3 - 16*d = 0.
-1, -2/5, 0, 2/9
Determine g so that g**2 - 13*g = 0.
0, 13
Find f, given that -3*f**4/4 + 9*f**3/2 + 51*f**2/4 - 9*f/2 - 12 = 0.
-2, -1, 1, 8
Determine u, given that -5*u**3 - 13035*u**2 - 26055*u - 13025 = 0.
-2605, -1
Factor 3*i**4 - 81*i**3/2 + 126*i**2 + 147*i/2.
3*i*(i - 7)**2*(2*i + 1)/2
Determine h, given that -2*h**4/9 - 23*h**3/9 + 157*h**2/9 - 44*h/3 = 0.
-33/2, 0, 1, 4
Solve -100*b**3 - 740*b**2 - 1809*b - 1458 = 0 for b.
-27/10, -2
Find r such that r**5/7 + 2*r**4/7 - 6*r**3/7 - 8*r**2/7 + 5*r/7 + 6/7 = 0.
-3, -1, 1, 2
Find s such that 10*s**4/3 - 144*s**3 + 1762*s**2 - 13040*s/3 + 800 = 0.
1/5, 3, 20
Find j, given that -2809*j**4/6 - 3763*j**3 - 45793*j**2/6 - 284*j - 8/3 = 0.
-4, -1/53
What is i in -2*i**3/3 + 52*i**2 + 162*i = 0?
-3, 0, 81
What is i in -i**3 + 164*i**2 + 668*i + 672 = 0?
-2, 168
Factor -2*s**3 - 116*s**2 - 538*s - 424.
-2*(s + 1)*(s + 4)*(s + 53)
Let 4*v**4 - 68*v**3 + 116*v**2 + 68*v - 120 = 0. What is v?
-1, 1, 2, 15
Factor 2*p**3 + 10*p**2 + 4*p - 16.
2*(p - 1)*(p + 2)*(p + 4)
Find i, given that -2*i**4/7 + 8*i**3 - 202*i**2/7 + 244*i/7 - 96/7 = 0.
1, 2, 24
Let -2*a**2/5 - 16*a - 160 = 0. Calculate a.
-20
Factor -o**2 - 7*o - 10.
-(o + 2)*(o + 5)
What is c in 6*c**3 - 22*c**2 - 436*c - 528 = 0?
-6, -4/3, 11
Factor -2*f**5/13 + 34*f**4/13 + 168*f**3/13.
-2*f**3*(f - 21)*(f + 4)/13
Factor 2*z**3 + 48*z**2 + 358*z + 792.
2*(z + 4)*(z + 9)*(z + 11)
Factor -12*i**3 - 207*i**2 - 915*i - 216.
-3*(i + 8)*(i + 9)*(4*i + 1)
Factor 5*t**2 + 1140*t - 3465.
5*(t - 3)*(t + 231)
Find p such that 2*p**4/3 - 6*p**3 - 94*p**2/3 - 42*p - 52/3 = 0.
-2, -1, 13
Let -2*o**4 + 10*o**3 + 92*o**2 + 80*o = 0. Calculate o.
-4, -1, 0, 10
Find k such that -k**3/3 + 5*k**2/3 + 13*k/3 + 7/3 = 0.
-1, 7
Factor c**2 + 804*c - 2421.
(c - 3)*(c + 807)
What is c in 4*c**3/3 + 444*c**2 - 2692*c/3 - 1340 = 0?
-335, -1, 3
Find c such that -c**4/2 - 401*c**3 - 106110*c**2 - 8966700*c + 78732000 = 0.
-270, 8
Solve q**4 - 22*q**3 + 108*q**2 - 200*q + 128 = 0.
2, 16
Suppose -2*b**4/5 + 436*b**3/5 - 6216*b**2/5 + 25676*b/5 - 19894/5 = 0. Calculate b.
1, 7, 203
Let -2*h**2 - 86*h = 0. What is h?
-43, 0
Suppose -w**3 + 16*w**2 + 36*w = 0. Calculate w.
-2, 0, 18
Solve -h**3/3 - 7*h**2/3 + 12 = 0 for h.
-6, -3, 2
Factor 8*p**3 - 84*p**2.
4*p**2*(2*p - 21)
Determine u so that -2*u**2/11 + 230*u/11 - 888/11 = 0.
4, 111
Determine d so that -2*d**2/3 + 872*d - 285144 = 0.
654
Find q, given that -76*q**5 - 448*q**4 - 788*q**3 - 368*q**2 + 48*q = 0.
-3, -2, -1, 0, 2/19
Factor -3*d**3 + 36*d**2 + 93*d - 126.
-3*(d - 14)*(d - 1)*(d + 3)
Factor d**2/5 + 773*d/5 + 772/5.
(d + 1)*(d + 772)/5
Determine u, given that u**3/2 - 8*u = 0.
-4, 0, 4
Determine r, given that r**2/9 + 17*r/9 - 2 = 0.
-18, 1
Solve 4*q**5 - 68*q**4 + 116*q**3 + 68*q**2 - 120*q = 0 for q.
-1, 0, 1, 2, 15
Factor -c**2/5 - 498*c/5 + 200.
-(c - 2)*(c + 500)/5
Let -o**2/4 - 5*o - 16 = 0. What is o?
-16, -4
Suppose -4*k**5 + 1544*k**4 - 199684*k**3 + 8783360*k**2 - 16973824*k + 8388608 = 0. What is k?
1, 128
Factor 2*z**5/5 + 36*z**4/5 + 124*z**3/5 + 176*z**2/5 + 114*z/5 + 28/5.
2*(z + 1)**4*(z + 14)/5
Factor 15*v**4 + 141*v**3 + 459*v**2 + 567*v + 162.
3*(v + 3)**3*(5*v + 2)
Determine m, given that -4*m**5/7 + 40*m**4/7 - 36*m**3/7 = 0.
0, 1, 9
Factor 5*o**2 - 3100*o + 480500.
5*(o - 310)**2
Find r such that -3*r**5 + 33*r**4 - 117*r**3 + 123*r**2 + 96*r - 180 = 0.
-1, 2, 3, 5
Determine h, given that -2*h**5 - 54*h**4 - 50*h**3 + 54*h**2 + 52*h = 0.
-26, -1, 0, 1
Factor -k**2/3 - 664*k/3 + 665/3.
-(k - 1)*(k + 665)/3
Solve -100*u**5 - 640*u**4 - 1144*u**3 - 384*u**2 - 36*u = 0.
-3,