(u + 1828)**2
Determine p, given that -21*p**4/5 - 81*p**3/5 + 1461*p**2/5 + 4329*p/5 - 648/5 = 0.
-9, -3, 1/7, 8
Suppose 2*i**2 - 110*i - 112 = 0. What is i?
-1, 56
Factor -4*n**3 + 284*n**2 + 2500*n + 2212.
-4*(n - 79)*(n + 1)*(n + 7)
Suppose -p**5 + 41*p**4 - 154*p**3 + 226*p**2 - 149*p + 37 = 0. Calculate p.
1, 37
What is p in -2*p**5 - 12*p**4 - 14*p**3 + 12*p**2 + 16*p = 0?
-4, -2, -1, 0, 1
Find w, given that 2*w**2 - 14*w = 0.
0, 7
What is w in -3*w**3 - 45*w**2 = 0?
-15, 0
Find r, given that 14*r**4 + 90*r**3 + 98*r**2 - 18*r - 40 = 0.
-5, -1, 4/7
Factor -2*x**4/9 + 4*x**3/9.
-2*x**3*(x - 2)/9
Solve -a**3 + 47*a**2 + 106*a - 392 = 0 for a.
-4, 2, 49
Factor -125*g**4 + 4975*g**3 - 3920*g**2 + 780*g.
-5*g*(g - 39)*(5*g - 2)**2
Let -169*d**3/3 - 1685*d**2/3 - 4175*d/3 + 125/3 = 0. What is d?
-5, 5/169
Factor -d**4 + 64*d**3 - 1024*d**2.
-d**2*(d - 32)**2
Suppose s**3/3 - 4*s**2/3 + 5*s/3 - 2/3 = 0. Calculate s.
1, 2
Factor 4*s**3/5 - 288*s**2/5 + 1364*s/5 - 1608/5.
4*(s - 67)*(s - 3)*(s - 2)/5
Solve -3*q**2/5 - 66*q/5 - 288/5 = 0.
-16, -6
Factor 36*z**2/5 + 12392*z/5 + 2752/5.
4*(z + 344)*(9*z + 2)/5
Factor -2*d**2/3 + 10*d/3 + 16.
-2*(d - 8)*(d + 3)/3
Suppose 21*t**5 - 279*t**4 + 1191*t**3 - 1809*t**2 + 1056*t - 180 = 0. What is t?
2/7, 1, 5, 6
Factor 2*o**3/11 - 2*o**2/11 - 80*o/11 + 224/11.
2*(o - 4)**2*(o + 7)/11
Factor -35*k**3 - 430*k**2 + 1455*k + 450.
-5*(k - 3)*(k + 15)*(7*k + 2)
Determine p, given that p**4 - 13*p**3/2 + 12*p**2 - 17*p/2 + 2 = 0.
1/2, 1, 4
Factor -3*o**3 - 609*o**2 - 28665*o + 231525.
-3*(o - 7)*(o + 105)**2
Suppose 2*q**3/13 - 2*q**2/13 - 2*q/13 + 2/13 = 0. What is q?
-1, 1
Find z, given that -z**4/3 - 4*z**3/3 + 4*z**2 = 0.
-6, 0, 2
Factor -3*k**2 - 15*k + 42.
-3*(k - 2)*(k + 7)
Solve -3*v**4 + 39*v**3 + 42*v**2 = 0.
-1, 0, 14
Let -5*j**3 + 540*j - 2160 = 0. Calculate j.
-12, 6
Solve -l**2/6 + 26*l/3 + 18 = 0 for l.
-2, 54
Determine y, given that -3*y**3 + 210*y**2 - 957*y - 1170 = 0.
-1, 6, 65
Factor -4*z**5/5 - 36*z**4/5 - 108*z**3/5 - 108*z**2/5.
-4*z**2*(z + 3)**3/5
Factor -4*x**3 - 28*x**2 + 4*x + 28.
-4*(x - 1)*(x + 1)*(x + 7)
Factor -3*l**3 + 449*l**2 - 297*l - 149.
-(l - 149)*(l - 1)*(3*l + 1)
Factor -2*n**4 - 8*n**3 + 2*n**2 + 8*n.
-2*n*(n - 1)*(n + 1)*(n + 4)
Solve -3*m**2 - 108*m + 111 = 0 for m.
-37, 1
Factor -4*f**5 - 80*f**4 + 756*f**3.
-4*f**3*(f - 7)*(f + 27)
Factor -5*v**4 + 135*v**3 - 1010*v**2 + 2880*v - 2720.
-5*(v - 17)*(v - 4)**2*(v - 2)
Factor t**4/11 + 38*t**3/11 - 207*t**2/11 + 340*t/11 - 172/11.
(t - 2)**2*(t - 1)*(t + 43)/11
Factor -2*a**3 + 22*a**2 + 18*a - 198.
-2*(a - 11)*(a - 3)*(a + 3)
Determine v so that 5*v**4 - 75*v**3 - 365*v**2 - 285*v = 0.
-3, -1, 0, 19
Suppose 5*v**2 - 30*v - 80 = 0. What is v?
-2, 8
Factor 12*w**2/5 - 51*w + 63/5.
3*(w - 21)*(4*w - 1)/5
Determine t so that 2*t**4/13 - 2*t**3 - 280*t**2/13 = 0.
-7, 0, 20
Suppose 60*q**5 - 175*q**4 + 45*q**3 + 185*q**2 - 105*q - 10 = 0. What is q?
-1, -1/12, 1, 2
Factor 432*i**2 + 4392*i + 11163.
3*(12*i + 61)**2
Find f such that -f**3 + 88*f**2 = 0.
0, 88
Solve 4*y**4 - 88*y**3 + 548*y**2 - 560*y - 1200 = 0 for y.
-1, 3, 10
Solve a**5/6 + a**4/6 - 17*a**3/6 + 19*a**2/6 + 8*a/3 - 10/3 = 0.
-5, -1, 1, 2
Factor -3*i**2/2 - 534*i.
-3*i*(i + 356)/2
Factor 5*x**2/2 + 45*x.
5*x*(x + 18)/2
Factor -4*y**3/5 + 178*y**2/5 + 18*y.
-2*y*(y - 45)*(2*y + 1)/5
Solve 14860*r**2 + 8*r = 0.
-2/3715, 0
Factor -4*b**4 - 12*b**3 - 8*b**2.
-4*b**2*(b + 1)*(b + 2)
Suppose 2*p**5/17 + 24*p**4/17 + 104*p**3/17 + 12*p**2 + 182*p/17 + 60/17 = 0. What is p?
-5, -3, -2, -1
Factor r**4/4 - 15*r**3/4 + 39*r**2/4 - 37*r/4 + 3.
(r - 12)*(r - 1)**3/4
Factor -3*n**2/2 + 16*n - 10.
-(n - 10)*(3*n - 2)/2
Determine u, given that 5*u**5 + 420*u**4 - 1745*u**3 + 1320*u**2 = 0.
-88, 0, 1, 3
Factor 12*o**2/7 + 68*o/7 + 40/7.
4*(o + 5)*(3*o + 2)/7
Solve o**4/2 + 41*o**3 + 798*o**2 - 1764*o = 0 for o.
-42, 0, 2
Factor 9*v**2/4 - 435*v/4 - 147/2.
3*(v - 49)*(3*v + 2)/4
Solve 2*j**2/9 - 16*j/9 - 130/9 = 0 for j.
-5, 13
Factor -2*v**5/3 + 4*v**4/3 - 4*v**2/3 + 2*v/3.
-2*v*(v - 1)**3*(v + 1)/3
Factor 10*r**3 + 24*r**2 - 1422*r - 572.
2*(r - 11)*(r + 13)*(5*r + 2)
Find r such that 2*r**2 + 18*r + 16 = 0.
-8, -1
Let -2*d**2 - 1400*d - 2792 = 0. Calculate d.
-698, -2
Factor -5*l**4 + 60*l**2 + 80*l.
-5*l*(l - 4)*(l + 2)**2
Factor -3*k**4/4 - 2985*k**3/4 + 8973*k**2/4 - 8979*k/4 + 1497/2.
-3*(k - 1)**3*(k + 998)/4
Factor -2*q**2 - 98*q + 100.
-2*(q - 1)*(q + 50)
Factor 21*k**4 - 153*k**3 + 294*k**2 - 72*k.
3*k*(k - 4)*(k - 3)*(7*k - 2)
Let 2*o**5 - 18*o**4 + 6*o**3 + 178*o**2 - 96*o - 504 = 0. Calculate o.
-2, 3, 7
What is z in -9*z**2/4 - 13*z/4 - 1 = 0?
-1, -4/9
Suppose 2*t**4/3 - 10*t**3/3 + 2*t**2 + 10*t/3 - 8/3 = 0. Calculate t.
-1, 1, 4
Factor -3*f**3/2 - 177*f**2/2.
-3*f**2*(f + 59)/2
Determine t so that -3*t**2 - 99*t - 600 = 0.
-25, -8
What is j in j**2/7 - 8*j/7 + 15/7 = 0?
3, 5
Factor -l**3 + 7*l**2 + 49*l - 343.
-(l - 7)**2*(l + 7)
Suppose 12*n**5 + 184*n**4 + 808*n**3 + 720*n**2 - 308*n - 392 = 0. Calculate n.
-7, -1, 2/3
Solve -15*f**5 + 110*f**4 - 215*f**3 + 60*f**2 = 0 for f.
0, 1/3, 3, 4
Suppose 4*a**5 - 24*a**4 + 16*a**3 + 24*a**2 - 20*a = 0. What is a?
-1, 0, 1, 5
Solve -6*c**4/5 - 14*c**3/5 - 4*c**2/5 = 0.
-2, -1/3, 0
Suppose u**3/5 - 507*u**2/5 + 999*u - 2485 = 0. Calculate u.
5, 497
Suppose -3*q**4/4 - 21*q**3/2 - 24*q**2 + 165*q/2 - 189/4 = 0. What is q?
-9, -7, 1
Factor 2*t**4/3 + 172*t**3/3 + 1288*t**2 + 2352*t.
2*t*(t + 2)*(t + 42)**2/3
Factor -3*s**2/5 - 9*s + 462/5.
-3*(s - 7)*(s + 22)/5
Solve 7*l**5 + 60*l**4 + 179*l**3 + 210*l**2 + 72*l = 0 for l.
-3, -2, -4/7, 0
Factor 100*j**2 - 105*j + 5.
5*(j - 1)*(20*j - 1)
What is i in -i**2 - 190*i - 9025 = 0?
-95
Let -2*q**5 - 16*q**4 + 30*q**3 + 100*q**2 - 88*q - 144 = 0. What is q?
-9, -2, -1, 2
Factor r**3/5 + 14*r**2 - 71*r/5.
r*(r - 1)*(r + 71)/5
Let -3*n**2/4 + 27*n + 111/4 = 0. Calculate n.
-1, 37
Determine r, given that 5*r**5 + 5*r**4 - 30*r**3 - 20*r**2 + 40*r = 0.
-2, 0, 1, 2
Determine f, given that 2*f**5 - 2*f**4 - 78*f**3 - 62*f**2 + 140*f = 0.
-5, -2, 0, 1, 7
Solve -2*n**4/5 - 58*n**3/5 + 6*n**2/5 + 34*n - 116/5 = 0.
-29, -2, 1
Factor -j**3/5 - 8*j**2/5 + j + 84/5.
-(j - 3)*(j + 4)*(j + 7)/5
Determine o so that 3*o**2 + 2904*o - 2907 = 0.
-969, 1
Determine z so that 4*z**3 + 88*z**2 - 292*z + 200 = 0.
-25, 1, 2
Factor 3*c**5/4 - 21*c**4/2 + 48*c**3 - 177*c**2/2 + 285*c/4 - 21.
3*(c - 7)*(c - 4)*(c - 1)**3/4
Suppose 4*o**2 + 504*o - 4860 = 0. Calculate o.
-135, 9
Factor -2*y**3/7 + 460*y**2/7 - 26904*y/7 + 51984/7.
-2*(y - 114)**2*(y - 2)/7
Factor -2*d**5 - 30*d**4 + 144*d**3 - 152*d**2.
-2*d**2*(d - 2)**2*(d + 19)
Factor -w**4/4 + 12*w**3 - 655*w**2/4 + 429*w + 605.
-(w - 22)**2*(w - 5)*(w + 1)/4
Let 2*o**3/9 + 986*o**2 + 3279682*o/3 - 9847922/9 = 0. What is o?
-2219, 1
Factor 6*n**4 + 130*n**3 + 82*n**2 - 42*n.
2*n*(n + 1)*(n + 21)*(3*n - 1)
Find p such that -10*p**2/3 + 52*p + 64/3 = 0.
-2/5, 16
Factor -2*h**3/15 + 34*h**2/5 + 212*h/15.
-2*h*(h - 53)*(h + 2)/15
Find q, given that -2*q**2/5 - 64*q/5 + 66/5 = 0.
-33, 1
Suppose -2*v**2/7 + 1212*v/7 - 183618/7 = 0. Calculate v.
303
Let -2*c**4/15 + 4*c**3/3 + 18*c**2/5 - 24*c/5 = 0. Calculate c.
-3, 0, 1, 12
Solve 2*i**2/7 - 30*i/7 + 4 = 0.
1, 14
Factor 8*o**4/9 - 10*o**3/3 + 8*o**2/3 + 8*o/9.
2*o*(o - 2)**2*(4*o + 1)/9
Suppose -3*d**3/5 - 51*d**2/5 - 216*d/5 = 0. What is d?
-9, -8, 0
Factor -c**2/4 - 881*c/2 - 776161/4.
-(c + 881)**2/4
Factor 12*l**3/5 + 4*l**2/5 - 16*l + 48/5.
4*(l - 2)*(l + 3)*(3*l - 2)/5
Solve 27*a**4 + 2286*a**3 + 1515*a**2 + 252*a = 0.
-84, -1/3, 0
Factor 5*r**5 - 680*r**3 - 1990*r**2 - 1965*r - 650.
5*(r - 13)*(r + 1)**3*(r + 10)
Factor 2*c**2 - 232*c - 960.
2*(c - 120)*(c + 4)
Factor 2*s**2/5 + 664*s/5.
2*s*(s + 332)/5
Suppose 7*r**2/6 - 118*r/3 - 34/3 = 0. Calculate r.
-2/7, 34
Find j such that -2*j**5/7 + 26*j**3/7 + 32*j**2/7 - 24*j/7 - 32/7 = 0.
-2, -1, 1, 4
Solve -882*x**4 + 7042*x**3 + 7768*x**2 + 2632*x + 288 = 0.
-4/9, -2/7, 9
Let 2*m**4/5 - 8*m**3/5 + 6*m**2/5 + 8*m/5 - 8/5 = 0. Calculate m.
-1, 1, 2
Solve -m**3/3 + 64*m**2/3 + 45*m - 66 = 0 for m.
-3, 1, 66
Solve 3*r**4 + 88*r**3 + 2173*r**2/3 + 3362*r/3 = 0.
-41/3, -2, 0
Find f such that 14*f**2/5 + 4472*f/5 - 512 = 0.
-320, 4/7
Factor 2*j**5 + 86*j*