3*w*(w - 843)
Let 24*d**2/5 + 123*d/5 + 3 = 0. Calculate d.
-5, -1/8
Find i such that 28*i**2 + 52*i - 8 = 0.
-2, 1/7
Suppose -u**3 - 241*u**2 + 485*u - 243 = 0. What is u?
-243, 1
Factor 5*x**2 - 80*x + 320.
5*(x - 8)**2
Let 2*j**4/7 - 4*j**3/7 - 26*j**2/7 - 20*j/7 = 0. Calculate j.
-2, -1, 0, 5
Find x, given that 3*x**2 + 129*x + 126 = 0.
-42, -1
Suppose k**3/10 + k**2/2 + 4*k/5 + 2/5 = 0. Calculate k.
-2, -1
Let -3*y**2/2 + 57*y/2 - 72 = 0. What is y?
3, 16
Factor -2*i**5/9 + 2*i**4/9 + 28*i**3/9 + 52*i**2/9 + 38*i/9 + 10/9.
-2*(i - 5)*(i + 1)**4/9
Factor 14739*s**3/2 + 75429*s**2/2 + 128673*s/2 + 73167/2.
3*(17*s + 29)**3/2
Determine j, given that 5*j**2 - 335*j - 1800 = 0.
-5, 72
Factor -y**5 + 9*y**4 + 2*y**3 - 18*y**2 - y + 9.
-(y - 9)*(y - 1)**2*(y + 1)**2
Suppose -5*n**5 - 410*n**4 - 1585*n**3 - 1960*n**2 - 780*n = 0. What is n?
-78, -2, -1, 0
Solve -10*l**5/7 - 216*l**4/7 - 122*l**3/7 + 12*l**2 = 0.
-21, -1, 0, 2/5
Factor -5*p**4 + 5*p**3 + 60*p**2.
-5*p**2*(p - 4)*(p + 3)
Factor -4*r**4 + 52*r**3 - 248*r**2 + 512*r - 384.
-4*(r - 4)**2*(r - 3)*(r - 2)
Suppose -2*v**5 + 4*v**4 + 8*v**3 - 16*v**2 = 0. What is v?
-2, 0, 2
Determine x so that 4*x**2/3 + 544*x/3 + 18496/3 = 0.
-68
Factor -d**2/6 - 21*d/2 + 680/3.
-(d - 17)*(d + 80)/6
Determine l, given that 5*l**2 + 18*l + 9 = 0.
-3, -3/5
Determine y so that -4*y**3 + 56*y**2 + 1404*y = 0.
-13, 0, 27
Factor -z**5/3 - 8*z**4/3 + 20*z**3/3.
-z**3*(z - 2)*(z + 10)/3
Factor -172*a**3 + 844*a**2 - 608*a - 64.
-4*(a - 4)*(a - 1)*(43*a + 4)
Factor 4*o**3 + 732*o**2 - 4*o - 732.
4*(o - 1)*(o + 1)*(o + 183)
Suppose -4*m**2 + 24*m - 32 = 0. What is m?
2, 4
Factor -n**5 - 2*n**4 + 2*n**2 + n.
-n*(n - 1)*(n + 1)**3
Factor -3*y**3 - 27*y**2 + 19800*y - 563376.
-3*(y - 44)**2*(y + 97)
Find m, given that 18*m**4/23 + 60*m**3/23 + 26*m**2/23 - 40*m/23 + 8/23 = 0.
-2, 1/3
Find q, given that -3*q**5/4 - 3*q**4/2 + 9*q**3/4 = 0.
-3, 0, 1
Find j such that -2*j**4 + 48*j**3 + 750*j**2 + 700*j = 0.
-10, -1, 0, 35
Solve 5*r**2 + 50*r - 120 = 0 for r.
-12, 2
Find q such that -3*q**2 + 12186*q = 0.
0, 4062
Factor -5*w**3/3 - 95*w**2/3 + 100*w/3.
-5*w*(w - 1)*(w + 20)/3
Let 27*o**5/5 - 21*o**4/5 - 12*o**3 - 12*o**2/5 = 0. Calculate o.
-1, -2/9, 0, 2
Factor -21*r**4 - 36*r**3 + 12*r**2.
-3*r**2*(r + 2)*(7*r - 2)
Find k such that 31*k**3/7 + 30*k**2/7 - 9*k + 2/7 = 0.
-2, 1/31, 1
Factor t**4/4 + 49*t**3/2 + 285*t**2/4 - t - 95.
(t - 1)*(t + 2)**2*(t + 95)/4
Find o such that -o**2 - 49*o - 558 = 0.
-31, -18
Factor 4*a**4 + 1432*a**3 + 129588*a**2 + 254896*a + 126736.
4*(a + 1)**2*(a + 178)**2
Solve 3*u**3/7 + 45*u**2/7 + 27*u + 243/7 = 0 for u.
-9, -3
Factor c**3/2 + c**2 - 2*c - 4.
(c - 2)*(c + 2)**2/2
Suppose -20*b**5 + 292*b**4 + 3760*b**3 - 57344*b**2 + 31360*b + 21952 = 0. What is b?
-14, -2/5, 1, 14
Suppose -q**4/2 + q**3/2 = 0. What is q?
0, 1
Determine i, given that 2*i**5 - 10*i**4 + 18*i**3 - 14*i**2 + 4*i = 0.
0, 1, 2
Find y such that 5*y**2 + 100*y + 375 = 0.
-15, -5
Let -25*s**5 + 395*s**4 - 1504*s**3 - 580*s**2 + 1088*s - 256 = 0. What is s?
-1, 2/5, 8
Determine a, given that -4*a**4/7 - 460*a**3/7 + 1408*a**2/7 - 944*a/7 = 0.
-118, 0, 1, 2
Determine m so that 24*m**2/13 - 622*m/13 - 4 = 0.
-1/12, 26
Determine s so that 3*s**4 - 54*s**3 + 51*s**2 = 0.
0, 1, 17
Suppose 2*p**5/9 - 74*p**4/3 + 5818*p**3/9 + 6346*p**2/3 + 1444*p = 0. What is p?
-2, -1, 0, 57
Let -2*s**2/9 + 2408*s/9 + 2410/9 = 0. Calculate s.
-1, 1205
Solve -3*i**2 + 1182*i - 116427 = 0 for i.
197
Suppose 4*n**2/7 + 272*n/7 + 4300/7 = 0. What is n?
-43, -25
Factor -20*h**3 - 155*h**2 + 40*h.
-5*h*(h + 8)*(4*h - 1)
Factor -n**4/3 + 31*n**3/3 + 34*n**2.
-n**2*(n - 34)*(n + 3)/3
What is t in -4*t**2 - 2604*t + 7848 = 0?
-654, 3
Factor 4*p**3 - 68*p**2 + 320*p - 256.
4*(p - 8)**2*(p - 1)
Factor -5*z**3 - 80*z**2 + 20*z + 320.
-5*(z - 2)*(z + 2)*(z + 16)
Factor 3*u**5 + 6*u**4 + 3*u**3.
3*u**3*(u + 1)**2
Factor x**2/5 + 82*x/5 + 1681/5.
(x + 41)**2/5
Factor -2*j**3 - 12*j**2 + 18*j + 28.
-2*(j - 2)*(j + 1)*(j + 7)
Suppose 3*m**3 + 57*m**2 + 234*m = 0. What is m?
-13, -6, 0
Factor y**4/5 + 37*y**3/5 - 38*y**2/5.
y**2*(y - 1)*(y + 38)/5
Suppose q**2 + 10*q - 39 = 0. Calculate q.
-13, 3
Let -15*b**4 + 174*b**3 + 1617*b**2 + 1968*b + 540 = 0. What is b?
-5, -1, -2/5, 18
Let -k**4/3 + 8*k**3/3 + k**2 - 22*k/3 - 16/3 = 0. What is k?
-1, 2, 8
Factor j**2/4 + 117*j/2 + 13689/4.
(j + 117)**2/4
Factor z**5 - z**4 - 10*z**3 - 8*z**2.
z**2*(z - 4)*(z + 1)*(z + 2)
Solve j**3/11 + 61*j**2/11 + 118*j/11 = 0.
-59, -2, 0
Solve s**3 + 24*s**2 + 192*s + 512 = 0.
-8
Solve v**3/8 + 59*v**2/8 + 28*v + 55/2 = 0 for v.
-55, -2
Find d, given that -2*d**3/9 + 88*d**2/9 - 968*d/9 = 0.
0, 22
Factor 2*h**2/15 - 896*h/15.
2*h*(h - 448)/15
Suppose -3*y**4 - 33*y**3 - 51*y**2 + 33*y + 54 = 0. Calculate y.
-9, -2, -1, 1
Let -5*v**5/3 - 8*v**4/3 + 49*v**3/3 - 8*v**2/3 - 44*v/3 + 16/3 = 0. What is v?
-4, -1, 2/5, 1, 2
Suppose -5*i**2 - 15*i + 350 = 0. Calculate i.
-10, 7
Factor -5*o**5 + 265*o**4 + 285*o**3 - 785*o**2 - 1340*o - 540.
-5*(o - 54)*(o - 2)*(o + 1)**3
Factor -2*s**2 + 4*s/5 + 6/5.
-2*(s - 1)*(5*s + 3)/5
What is n in -n**2 - 303*n + 304 = 0?
-304, 1
Factor 20*o**2/13 + 6*o/13.
2*o*(10*o + 3)/13
Find p such that 3*p**5 - 51*p**4 + 240*p**3 - 192*p**2 = 0.
0, 1, 8
Suppose -2*u**3/3 + 892*u**2/3 - 1778*u/3 + 296 = 0. Calculate u.
1, 444
Factor 50562*r**3/7 - 203520*r**2/7 + 728*r - 32/7.
2*(r - 4)*(159*r - 2)**2/7
Factor 3*c**2 + 78*c + 315.
3*(c + 5)*(c + 21)
Determine h so that -h**3 + 38*h**2 + 79*h + 40 = 0.
-1, 40
Let -h**2/5 + 282*h/5 = 0. What is h?
0, 282
Factor -3*v**5 - 30*v**4 - 90*v**3 - 120*v**2 - 75*v - 18.
-3*(v + 1)**4*(v + 6)
Find t, given that -3*t**3/4 + 399*t**2/4 - 483*t + 384 = 0.
1, 4, 128
Suppose 2*u**2/3 + 122*u/3 + 40 = 0. What is u?
-60, -1
Suppose -2*n**3 + 58*n**2/7 - 44*n/7 = 0. Calculate n.
0, 1, 22/7
Let -3*t**3 + 4722*t**2 - 9435*t + 4716 = 0. Calculate t.
1, 1572
Factor -7*w**3/3 + 11*w**2 - 3*w - 27.
-(w - 3)**2*(7*w + 9)/3
Solve 4*r**4 + 160*r**3 - 168*r**2 - 160*r + 164 = 0 for r.
-41, -1, 1
Find y, given that -2*y**5/13 - 28*y**4/13 - 128*y**3/13 - 128*y**2/13 + 512*y/13 + 1024/13 = 0.
-4, 2
Factor -16*y**3 - 32884*y**2 - 8220*y.
-4*y*(y + 2055)*(4*y + 1)
Factor -4*q**4 - 4*q**3 + 20*q**2 - 12*q.
-4*q*(q - 1)**2*(q + 3)
Let 98*a**5/5 - 252*a**4/5 - 174*a**3/5 + 152*a**2/5 - 24*a/5 = 0. Calculate a.
-1, 0, 2/7, 3
Factor 3*q**3/2 - 57*q**2/2 + 96*q - 90.
3*(q - 15)*(q - 2)**2/2
Find b, given that -21*b**5 + 867*b**4 - 2475*b**3 + 2433*b**2 - 804*b = 0.
0, 1, 268/7
Let k**4/2 - 21*k**3/2 + 159*k**2/2 - 511*k/2 + 294 = 0. What is k?
3, 4, 7
Solve h**3 - 6*h**2 - 7*h = 0 for h.
-1, 0, 7
Factor -3*j**2 - 27*j - 60.
-3*(j + 4)*(j + 5)
Suppose -c**5/4 + c**4 + 3*c**3/2 - 8*c**2 + 35*c/4 - 3 = 0. Calculate c.
-3, 1, 4
Suppose 3*y**2/7 - 72*y/7 - 75/7 = 0. What is y?
-1, 25
Suppose -2*k**3 + 24*k**2 - 70*k + 48 = 0. What is k?
1, 3, 8
Factor -49*t**2/2 - 14*t - 2.
-(7*t + 2)**2/2
Factor f**2 - 935*f - 936.
(f - 936)*(f + 1)
Solve 4*k**4/5 - 376*k**3/5 + 2400*k**2 - 140616*k/5 + 323676/5 = 0 for k.
3, 27, 37
Determine f, given that -3*f**4 + 21*f**3 - 21*f**2 - 45*f = 0.
-1, 0, 3, 5
Factor 4*j**2 + 5840*j + 5836.
4*(j + 1)*(j + 1459)
Factor -d**3/3 + 73*d**2/3.
-d**2*(d - 73)/3
Factor 4*m**2/3 - 36*m.
4*m*(m - 27)/3
Suppose 2*g**5/11 + 30*g**4/11 - 48*g**3/11 - 232*g**2/11 + 384*g/11 = 0. What is g?
-16, -3, 0, 2
Find l such that 2*l**2/11 - 160*l/11 - 498/11 = 0.
-3, 83
Determine t so that -2*t**5/9 + 380*t**4/9 - 2960*t**3/9 + 8800*t**2/9 - 11680*t/9 + 5824/9 = 0.
2, 182
Factor 2*j**2/11 + 6*j/11.
2*j*(j + 3)/11
Factor 2*z**3/11 + 6*z**2/11 + 4*z/11.
2*z*(z + 1)*(z + 2)/11
Factor -3*x**5 - 9*x**4 + 27*x**3 - 15*x**2.
-3*x**2*(x - 1)**2*(x + 5)
Determine y so that 5*y**3 - 125*y**2 + 120*y = 0.
0, 1, 24
Suppose -2*i**5/13 - 284*i**4/13 - 10362*i**3/13 - 19880*i**2/13 - 9800*i/13 = 0. What is i?
-70, -1, 0
Suppose -z**4/3 - 16*z**3/3 - 14*z**2 + 392*z/3 + 1715/3 = 0. Calculate z.
-7, 5
Solve 4*i**2 + 16*i - 1748 = 0 for i.
-23, 19
Find l such that l**5/5 - 9*l**3/5 - 4*l**2/5 + 12*l/5 = 0.
-2, 0, 1, 3
Suppose -2*y**3/7 + 22*y**2/7 + 832*y/7 - 1536 = 0. Calculate y.
-21, 16
Determine c, given that 4*c**2 - 312*c = 0.
0, 78
Suppose -k**5 + 