*t**4/7 + 6*t**3/7 + 4*t**2/7 - 8*t/7 = 0.
-1, 0, 2
Let u**5/5 + 34*u**4/5 - 30*u**3 + 16*u**2 + 149*u/5 - 114/5 = 0. What is u?
-38, -1, 1, 3
Suppose -5*a**2 - 31200*a - 48672000 = 0. What is a?
-3120
Factor 3*b**2 - 378*b + 11907.
3*(b - 63)**2
Let 2*v**3/9 - 56*v**2/9 - 2*v/9 + 56/9 = 0. What is v?
-1, 1, 28
Determine f, given that 35*f**2 - 145*f - 150 = 0.
-6/7, 5
Determine v so that -2*v**2/19 - 44*v/19 - 234/19 = 0.
-13, -9
Factor 4*t**3 - 28*t + 24.
4*(t - 2)*(t - 1)*(t + 3)
Solve 3*a**3 + 60*a**2 + 108*a = 0 for a.
-18, -2, 0
Let c**2/3 + 133*c/3 = 0. What is c?
-133, 0
Factor -p**3/4 - 75*p**2/4 - 1875*p/4 - 15625/4.
-(p + 25)**3/4
Determine c, given that -5*c**2 + 8500*c - 16980 = 0.
2, 1698
Factor d**3/4 - 1311*d**2/4 - 2625*d/4 - 1313/4.
(d - 1313)*(d + 1)**2/4
Factor -3*y**5/8 + 99*y**4/4 + 405*y**3/8 + 51*y**2/2.
-3*y**2*(y - 68)*(y + 1)**2/8
Factor -j**3/7 + 1116*j**2/7 + 1117*j/7.
-j*(j - 1117)*(j + 1)/7
What is u in u**2 + 38*u + 37 = 0?
-37, -1
Determine j, given that -5*j**2 - 50*j - 125 = 0.
-5
What is b in -2*b**4/9 - 52*b**3/9 - 160*b**2/3 - 1792*b/9 - 2048/9 = 0?
-8, -2
Factor -15*l**4 + 130*l**3 + 3355*l**2/3 - 18200*l/3 - 98000/3.
-5*(l + 5)**2*(3*l - 28)**2/3
Determine d so that 9*d**5 + 1401*d**4/5 + 11663*d**3/5 + 11711*d**2/5 + 336*d - 180 = 0.
-15, -2/3, 1/5
Suppose 4*i**3 + 16*i**2 + 16*i = 0. What is i?
-2, 0
Factor -2*t**2 - 68*t - 66.
-2*(t + 1)*(t + 33)
Factor -2*w**2/7 - 6*w/7 + 8.
-2*(w - 4)*(w + 7)/7
Let -4*v**4 - 44*v**3 - 16*v**2 + 240*v = 0. Calculate v.
-10, -3, 0, 2
Let 2*g**5/11 + 30*g**4/11 + 76*g**3/11 + 48*g**2/11 = 0. Calculate g.
-12, -2, -1, 0
Determine w, given that 2*w**5/15 - 68*w**3/15 - 184*w**2/15 - 58*w/5 - 56/15 = 0.
-4, -1, 7
Find p, given that -245*p**4/2 - 532*p**3 - 1075*p**2/2 - 134*p - 6 = 0.
-3, -1, -2/7, -2/35
Factor 3*g**3/2 + 429*g**2/2 + 849*g/2 + 423/2.
3*(g + 1)**2*(g + 141)/2
Factor i**3 + 40*i**2 - 337*i - 376.
(i - 8)*(i + 1)*(i + 47)
Factor -j**4/3 - j**3/3 + 4*j**2.
-j**2*(j - 3)*(j + 4)/3
Factor 13*q**3 - 58*q**2 + 76*q - 24.
(q - 2)**2*(13*q - 6)
Factor -5*o**2 - 60*o + 665.
-5*(o - 7)*(o + 19)
Factor -4*a**2/3 + 28768*a/3 - 51724864/3.
-4*(a - 3596)**2/3
Factor h**5/2 - 3*h**4 + 9*h**3/2 - 2*h**2.
h**2*(h - 4)*(h - 1)**2/2
Factor -4*i**4/7 - 24*i**3/7 - 20*i**2/7.
-4*i**2*(i + 1)*(i + 5)/7
Factor y**2 + 844*y.
y*(y + 844)
Suppose 2*d**2/7 - 62*d/7 + 60/7 = 0. Calculate d.
1, 30
Factor -4*w**2 - 36*w + 88.
-4*(w - 2)*(w + 11)
Factor -i**2 - 124*i - 3844.
-(i + 62)**2
Solve 65*p**3 + 635*p**2 + 1475*p - 375 = 0 for p.
-5, 3/13
Solve 2*d**2/11 - 2680*d/11 - 8058/11 = 0.
-3, 1343
Find t, given that 26*t**4/7 - 4*t**3/7 - 26*t**2/7 + 4*t/7 = 0.
-1, 0, 2/13, 1
Let -3*v**3 - 273*v**2 - 5472*v + 34560 = 0. Calculate v.
-48, 5
Factor -9*o**3 + 183*o**2 - 960*o + 300.
-3*(o - 10)**2*(3*o - 1)
Factor x**4/9 + 2*x**3/3 - 37*x**2/9 + 10*x/3.
x*(x - 3)*(x - 1)*(x + 10)/9
Factor -2*m**3/5 - 232*m**2/5 + 234*m/5.
-2*m*(m - 1)*(m + 117)/5
Factor 34*f**3/5 + 446*f**2/5 + 52*f/5.
2*f*(f + 13)*(17*f + 2)/5
Let q**5/2 - 259*q**4/2 + 11223*q**3 - 329122*q**2 + 318028*q = 0. Calculate q.
0, 1, 86
Factor 2*b**3 + 38*b**2 + 168*b.
2*b*(b + 7)*(b + 12)
Factor -d**5 + 36*d**4 + d**3 - 36*d**2.
-d**2*(d - 36)*(d - 1)*(d + 1)
Find o, given that 2*o**4/5 - 36*o**3/5 + 18*o**2 = 0.
0, 3, 15
Let 2*v**3 + 34*v**2 - 162*v + 126 = 0. Calculate v.
-21, 1, 3
Factor 10*l**4 + 46*l**3 + 74*l**2 + 50*l + 12.
2*(l + 1)**2*(l + 2)*(5*l + 3)
Factor 3*h**2 + 15*h - 42.
3*(h - 2)*(h + 7)
Find s, given that -3*s**3 + 6*s**2 = 0.
0, 2
Factor 3*m**3 + 219*m**2 + 4305*m + 11025.
3*(m + 3)*(m + 35)**2
Suppose 4*k**2/5 + 27*k/5 - 7/5 = 0. Calculate k.
-7, 1/4
Let -2*v**4/3 + 36*v**3 + 354*v**2 - 22680*v - 264600 = 0. Calculate v.
-15, 42
Suppose u**2 - 555*u + 554 = 0. Calculate u.
1, 554
Factor -i**5 + 34*i**4 - 225*i**3.
-i**3*(i - 25)*(i - 9)
Factor -4*q**3/7 + 92*q**2/7 - 248*q/7 + 160/7.
-4*(q - 20)*(q - 2)*(q - 1)/7
Find n, given that -560*n**3/3 - 1172*n**2/3 + 1076*n/3 + 176/3 = 0.
-11/4, -1/7, 4/5
Factor 2*k**2/19 - 2008*k/19 + 504008/19.
2*(k - 502)**2/19
Let 98*x**5 + 1974*x**4 - 1740*x**3 + 3512*x**2/7 - 48*x = 0. Calculate x.
-21, 0, 2/7
Suppose -j**5/3 - 25*j**4/3 - 109*j**3/3 - 187*j**2/3 - 142*j/3 - 40/3 = 0. Calculate j.
-20, -2, -1
Factor -i**3 + 45*i**2 + i - 45.
-(i - 45)*(i - 1)*(i + 1)
Let 3*z**4 + 571*z**3 + 27263*z**2 + 8645*z - 18050 = 0. What is z?
-95, -1, 2/3
Factor -3*c**4 - 75*c**3 - 408*c**2.
-3*c**2*(c + 8)*(c + 17)
Let -3*q**3 - 9909*q**2 - 8177400*q + 8187312 = 0. Calculate q.
-1652, 1
Factor -d**2 - 785*d - 784.
-(d + 1)*(d + 784)
Factor -3*j**2 - 1470*j - 2928.
-3*(j + 2)*(j + 488)
Solve -2*s**3/21 - 46*s**2/21 + 20*s = 0.
-30, 0, 7
Factor 2*x**2/7 - 13128*x/7 + 21543048/7.
2*(x - 3282)**2/7
Find c such that c**5 + 19*c**4 + 51*c**3 - 451*c**2 - 484*c = 0.
-11, -1, 0, 4
Factor -2*z**2 + 82*z - 620.
-2*(z - 31)*(z - 10)
Suppose -j**3/4 - 51*j**2/2 - 197*j/4 + 75 = 0. What is j?
-100, -3, 1
Solve -108*x**4 - 1500*x**3 - 2560*x**2 - 1360*x - 192 = 0.
-12, -1, -2/3, -2/9
Factor s**2/5 + 649*s/5 + 1938/5.
(s + 3)*(s + 646)/5
Find q such that -5*q**5 + 15*q**4 - 5*q**3 - 15*q**2 + 10*q = 0.
-1, 0, 1, 2
Find j such that 3*j**3/4 + 99*j**2/2 + 3363*j/4 + 792 = 0.
-33, -32, -1
Solve 4*f**3 + 740*f**2 + 1468*f + 732 = 0.
-183, -1
Factor 3*l**2 - 27*l + 54.
3*(l - 6)*(l - 3)
Determine g, given that -2*g**2/17 + 30*g/17 - 72/17 = 0.
3, 12
Determine q so that -2*q**5/5 + 12*q**4/5 + 18*q**3/5 - 28*q**2/5 = 0.
-2, 0, 1, 7
Find g such that 100*g**5 - 4285*g**4 + 43345*g**3 + 55430*g**2 + 2860*g - 4840 = 0.
-1, -2/5, 1/4, 22
Factor m**2/10 + 186*m/5 + 367/2.
(m + 5)*(m + 367)/10
Determine j so that 5*j**4/7 - 23*j**3/7 + 26*j**2/7 = 0.
0, 2, 13/5
Suppose 2*d**4 + 10208*d**3 + 13015196*d**2 - 26061024*d + 13035618 = 0. What is d?
-2553, 1
What is u in 2*u**4 - 16*u**3 - 2*u**2 + 16*u = 0?
-1, 0, 1, 8
Find w, given that -4*w**3/5 + 4848*w**2/5 - 1958592*w/5 + 263757056/5 = 0.
404
Determine b, given that -3*b**5 + 15*b**4 - 12*b**3 = 0.
0, 1, 4
Factor -r**3/6 - 4*r**2/3 + 19*r/6 - 5/3.
-(r - 1)**2*(r + 10)/6
Factor 20*p**3 + 5*p**2 - 1620*p - 405.
5*(p - 9)*(p + 9)*(4*p + 1)
Determine k so that 3*k**3 + 51*k**2 + 93*k + 45 = 0.
-15, -1
Determine y so that -3*y**5 - 9*y**4 + 93*y**3 + 129*y**2 - 810*y + 600 = 0.
-5, 1, 2, 4
Determine q, given that -196*q**4 - 41440*q**3 - 17628*q**2 + 20240*q - 3376 = 0.
-211, -1, 2/7
Find b, given that -b**2 - 41*b + 42 = 0.
-42, 1
Factor -o**4/9 - 4*o**3/9 - o**2/9 + 2*o/3.
-o*(o - 1)*(o + 2)*(o + 3)/9
Determine m, given that -m**3 - 905*m**2 - 205208*m - 204304 = 0.
-452, -1
Factor -14*n**2/5 + 11126*n/5 + 636.
-2*(n - 795)*(7*n + 2)/5
Solve -2*a**2/9 + 56*a/9 = 0 for a.
0, 28
Factor -2*k**3/7 - 102*k**2/7 - 702*k/7 - 86.
-2*(k + 1)*(k + 7)*(k + 43)/7
Find t, given that 2*t**3/11 + 20*t**2/11 - 48*t/11 = 0.
-12, 0, 2
Let -3*a**2/7 + 1920*a/7 - 307200/7 = 0. What is a?
320
Factor -4*i**3/7 + 40*i**2/7 + 44*i/7 - 720/7.
-4*(i - 9)*(i - 5)*(i + 4)/7
Factor 2*n**3 + 54*n**2 + 388*n + 816.
2*(n + 4)*(n + 6)*(n + 17)
Suppose -5*z**4 - 30*z**3 + 35*z**2 = 0. Calculate z.
-7, 0, 1
Find s such that -4*s**2 - 208*s - 400 = 0.
-50, -2
Factor -3*v**2/8 - 981*v/8.
-3*v*(v + 327)/8
Suppose 3*h**2 + 120*h - 675 = 0. Calculate h.
-45, 5
Find s such that 2*s**5/13 - 28*s**4/13 + 114*s**3/13 - 152*s**2/13 + 64*s/13 = 0.
0, 1, 4, 8
Factor -3*p**4/2 - 3*p**3/2 + 3*p**2/2 + 3*p/2.
-3*p*(p - 1)*(p + 1)**2/2
Solve 3*v**2 + 585*v - 1182 = 0.
-197, 2
Suppose -5*m**3 - 380*m**2 - 6825*m + 15210 = 0. What is m?
-39, 2
Determine i, given that 3*i**4 - 3*i**3 - 30*i**2 - 24*i = 0.
-2, -1, 0, 4
Factor -4*b**3 + 84*b**2 + 1764*b + 6860.
-4*(b - 35)*(b + 7)**2
Solve -z**3 + 228*z**2 - 17328*z + 438976 = 0 for z.
76
Let x**2 - 185*x + 724 = 0. Calculate x.
4, 181
Find h such that -8*h**2 - 36*h + 72 = 0.
-6, 3/2
Factor 2*k**4 - 36*k**2 - 64*k - 30.
2*(k - 5)*(k + 1)**2*(k + 3)
Find y such that -5*y**2 - 475*y + 970 = 0.
-97, 2
Factor 3*x**2 + 183*x - 1206.
3*(x - 6)*(x + 67)
Let p**3 + 401*p**2 + 39592*p - 122412 = 0. What is p?
-202, 3
Suppose 5*d**2 + 1000*d + 50000 = 0. What is d?
-100
Factor 2*u**3/5 - 592*u**2/5 - 2*u/5 + 592/5.
2*(u - 296)*(u - 1)*(u + 1)/5
Determine q, given that -q*