**2 + 994*x + 660 = 0. Calculate x.
-165, -1, 2
Factor -49*v**4 + 175*v**3 - 88*v**2 + 12*v.
-v*(v - 3)*(7*v - 2)**2
Suppose 4*m**3/7 + 60*m**2/7 - 132*m/7 + 68/7 = 0. Calculate m.
-17, 1
Factor -5*h**3/4 - 7275*h**2/2 - 3528375*h - 1140841250.
-5*(h + 970)**3/4
Factor 4*i**3 - 16*i**2 - 28*i + 40.
4*(i - 5)*(i - 1)*(i + 2)
Let 4*w**3 - 48*w**2/7 - 144*w/7 + 256/7 = 0. Calculate w.
-16/7, 2
Factor -g**4/3 - 58*g**3/3 - 781*g**2/3 + 580*g - 300.
-(g - 1)**2*(g + 30)**2/3
Find p such that 2*p**4/19 - 8*p**3/19 + 12*p**2/19 - 8*p/19 + 2/19 = 0.
1
Factor -a**3/5 + 48*a**2/5 - 209*a/5 - 258/5.
-(a - 43)*(a - 6)*(a + 1)/5
Factor -i**4/9 + 2*i**2/3 + 8*i/9 + 1/3.
-(i - 3)*(i + 1)**3/9
Solve q**4/5 + 128*q**3/5 + 744*q**2/5 + 1472*q/5 + 976/5 = 0 for q.
-122, -2
Let -2*k**4/9 + 64*k**2/9 - 512/9 = 0. What is k?
-4, 4
Factor i**5 + i**4 - 5*i**3 - i**2 + 8*i - 4.
(i - 1)**3*(i + 2)**2
Find d such that 16*d**5 + 68*d**4 - 260*d**2 - 256*d - 48 = 0.
-3, -2, -1, -1/4, 2
Factor u**4/4 - 9*u**3/2 + 45*u**2/4 + u - 15.
(u - 15)*(u - 2)**2*(u + 1)/4
Let 4*l**2 + 1336*l + 1332 = 0. What is l?
-333, -1
Factor 5*w**2 - 6840*w.
5*w*(w - 1368)
Factor 2*g**2 + 38*g.
2*g*(g + 19)
Suppose -9*s**4 + 30*s**3 + 87*s**2 - 48*s - 60 = 0. Calculate s.
-2, -2/3, 1, 5
Determine s so that 3*s**5/2 - 39*s**4/2 + 75*s**3/2 + 159*s**2/2 - 39*s - 60 = 0.
-1, 1, 4, 10
Solve -5*z**5 - 125*z**4 - 530*z**3 - 580*z**2 + 440*z + 800 = 0.
-20, -2, 1
Factor -5*k**4 + 830*k**3 - 35265*k**2 + 68060*k - 33620.
-5*(k - 82)**2*(k - 1)**2
Factor 632*j**3 - 1252*j**2 + 608*j + 12.
4*(j - 1)**2*(158*j + 3)
Solve -4*l**5 + 92*l**4 + 196*l**3 + 100*l**2 = 0.
-1, 0, 25
Find p, given that -2*p**2/21 - 92*p/7 - 3174/7 = 0.
-69
Find c, given that -18*c**4 - 21*c**3 + 12*c**2 + 21*c + 6 = 0.
-1, -2/3, -1/2, 1
Factor 5*t**3/6 - 14*t**2/3 + 15*t/2 - 3.
(t - 3)*(t - 2)*(5*t - 3)/6
Factor -2*x**5 - 26*x**4 - 134*x**3 - 342*x**2 - 432*x - 216.
-2*(x + 2)**2*(x + 3)**3
Determine j so that 3*j**3 + 57*j**2 - 2040*j + 11700 = 0.
-39, 10
Factor 3*r**4/4 - r**3 + r**2/4.
r**2*(r - 1)*(3*r - 1)/4
Factor 4*i**4/7 + 32*i**3 - 4*i**2/7 - 32*i.
4*i*(i - 1)*(i + 1)*(i + 56)/7
Determine o, given that 5*o**2/2 - 45*o/2 + 35 = 0.
2, 7
Factor 4*d**3 - 508*d**2 + 504*d.
4*d*(d - 126)*(d - 1)
Suppose 7*a**2 - 192*a + 81 = 0. Calculate a.
3/7, 27
Factor -9*r**4 - 87*r**3 - 217*r**2 - 117*r - 18.
-(r + 3)*(r + 6)*(3*r + 1)**2
Suppose 2*d**2/9 + 8*d/3 + 40/9 = 0. Calculate d.
-10, -2
Suppose 114*j**5/7 + 1030*j**4/7 + 396*j**3 + 1920*j**2/7 + 64*j/7 = 0. Calculate j.
-4, -1, -2/57, 0
Determine f so that 3*f**4 + 192*f**3/5 - 249*f**2/5 + 42*f/5 = 0.
-14, 0, 1/5, 1
Find v such that -3*v**5/2 + 3981*v**4/2 - 883107*v**3 + 132155793*v**2 - 1034444439*v/2 + 771895089/2 = 0.
1, 3, 441
Factor -5*v**3 - 120*v**2 + 1925*v.
-5*v*(v - 11)*(v + 35)
Factor -t**3/3 + 25*t**2/6 - 11*t/2.
-t*(t - 11)*(2*t - 3)/6
Factor 5*c**2 - 170*c + 320.
5*(c - 32)*(c - 2)
Determine p, given that 4*p**2 - 188*p - 600 = 0.
-3, 50
Factor 25*t**4 + 260*t**3 + 85*t**2 - 150*t.
5*t*(t + 1)*(t + 10)*(5*t - 3)
Factor 2*w**3 - 108*w**2 + 286*w + 1020.
2*(w - 51)*(w - 5)*(w + 2)
What is n in -6*n**5/13 - 46*n**4/13 - 28*n**3/13 = 0?
-7, -2/3, 0
Factor -2*r**2/3 + 2*r/3 + 40/3.
-2*(r - 5)*(r + 4)/3
Solve -5*p**2 - 10*p + 40 = 0.
-4, 2
Factor -y**2 + 167*y + 860.
-(y - 172)*(y + 5)
Let -15*c**5/7 + 51*c**4/7 + 72*c**3/7 - 156*c**2/7 + 48*c/7 = 0. Calculate c.
-2, 0, 2/5, 1, 4
Find q such that 9*q**2/4 + 18645*q/4 + 6213/2 = 0.
-2071, -2/3
Find k, given that -k**3/4 + k**2 - 5*k/4 + 1/2 = 0.
1, 2
Find s, given that -6*s**4/5 - 192*s**3 - 38394*s**2/5 + 192*s + 7680 = 0.
-80, -1, 1
Factor -2*q**3/19 - 1050*q**2/19 - 139374*q/19 - 408726/19.
-2*(q + 3)*(q + 261)**2/19
Factor 4*p**5 - 48*p**4 + 168*p**3 - 80*p**2 - 300*p.
4*p*(p - 5)**2*(p - 3)*(p + 1)
Suppose -3*k**2/8 + 57*k/8 - 27/4 = 0. Calculate k.
1, 18
Suppose -w**5/9 + w**4/9 + 4*w**3/9 - 4*w**2/9 = 0. What is w?
-2, 0, 1, 2
Factor -2*y**2/3 - 8*y + 26/3.
-2*(y - 1)*(y + 13)/3
Factor 174845*d**2 - 5610*d + 45.
5*(187*d - 3)**2
Find t such that 5*t**5 - 380*t**4 + 6005*t**3 + 45550*t**2 + 97580*t + 67240 = 0.
-2, 41
Let -5*n**2 + 4305*n = 0. Calculate n.
0, 861
Determine n so that -n**2 - 597*n + 598 = 0.
-598, 1
Factor -59*f**3/5 + 116*f**2/5 - 11*f - 2/5.
-(f - 1)**2*(59*f + 2)/5
Factor 7442*n**2/11 - 8784*n/11 + 2592/11.
2*(61*n - 36)**2/11
Solve -15*q**5 - 130*q**4 - 160*q**3 + 630*q**2 + 175*q - 500 = 0 for q.
-5, -1, 1, 4/3
Solve v**3/4 + 345*v**2/4 = 0 for v.
-345, 0
Let -i**3/3 + 4*i/3 = 0. Calculate i.
-2, 0, 2
Factor -3*m**2 + 15*m + 702.
-3*(m - 18)*(m + 13)
Suppose g**5/3 - 8*g**3 + 64*g**2/3 - 16*g = 0. Calculate g.
-6, 0, 2
Determine j so that 98*j**3 - 3962*j**2 - 2288*j - 328 = 0.
-2/7, 41
Solve 5*h**4 + 25*h**3 + 40*h**2 + 20*h = 0 for h.
-2, -1, 0
Let 45*o**4 - 2755*o**3 + 3220*o**2 + 4820*o - 1200 = 0. What is o?
-1, 2/9, 2, 60
Factor -o**4/4 - 15*o**3 - 229*o**2/4 - 141*o/2 - 28.
-(o + 1)**2*(o + 2)*(o + 56)/4
Factor y**3/3 + 20*y**2/3 + 19*y/3.
y*(y + 1)*(y + 19)/3
Let -2*p**4/11 - 244*p**3/11 - 7442*p**2/11 = 0. What is p?
-61, 0
Factor k**3/4 + 35*k**2 + 411*k/4.
k*(k + 3)*(k + 137)/4
Factor 2*l**4/15 + 6*l**3/5 + 16*l**2/15.
2*l**2*(l + 1)*(l + 8)/15
Factor -g**3 - 16*g**2 - 68*g - 80.
-(g + 2)*(g + 4)*(g + 10)
Factor 4*o**4 + 832*o**3 + 45688*o**2 + 252096*o + 367236.
4*(o + 3)**2*(o + 101)**2
Let 4*m**5 - 44*m**4/3 + 8*m**3/3 + 56*m**2/3 - 20*m/3 - 4 = 0. Calculate m.
-1, -1/3, 1, 3
Factor 3*w**2 + 450*w + 2175.
3*(w + 5)*(w + 145)
Solve 2*q**2 - 242*q - 244 = 0.
-1, 122
Factor -d**2/6 - 979*d/3 - 958441/6.
-(d + 979)**2/6
What is i in i**3 - 846*i**2 + 178929*i = 0?
0, 423
Let t**3 + 17*t**2 + 66*t + 72 = 0. Calculate t.
-12, -3, -2
Factor 4*g**2/3 + 36*g + 104/3.
4*(g + 1)*(g + 26)/3
Factor 2*n**4/5 - 28*n**3 - 888*n**2/5 - 1808*n/5 - 1216/5.
2*(n - 76)*(n + 2)**3/5
Determine m so that -m**2 + 46*m - 529 = 0.
23
Factor t**4/9 + 110*t**3/9 + 1079*t**2/3 + 11660*t/9 + 11236/9.
(t + 2)**2*(t + 53)**2/9
Factor 3*m**5 + 15*m**4 - 21*m**3 - 15*m**2 + 18*m.
3*m*(m - 1)**2*(m + 1)*(m + 6)
Factor -3*l**3/5 + 291*l**2 - 178581*l/5 + 522729/5.
-3*(l - 241)**2*(l - 3)/5
Factor 3*n**4/4 - 21*n**3 + 195*n**2/4 + 375*n/2.
3*n*(n - 25)*(n - 5)*(n + 2)/4
Find p, given that -p**3 + 39*p**2/11 - 18*p/11 = 0.
0, 6/11, 3
Solve -3000*j**5 - 2100*j**4 + 810*j**3 - 87*j**2 + 3*j = 0 for j.
-1, 0, 1/10
Suppose 2*n**4/13 + 30*n**3/13 + 8*n**2/13 - 264*n/13 + 224/13 = 0. Calculate n.
-14, -4, 1, 2
Factor -8*q**2 + 622*q + 156.
-2*(q - 78)*(4*q + 1)
Find i such that 8*i**4/5 - 9*i**3/5 + i**2/5 = 0.
0, 1/8, 1
Factor j**2/5 - 94*j/5 + 2209/5.
(j - 47)**2/5
Find t such that 2*t**4/7 - 4*t**2/7 + 2/7 = 0.
-1, 1
Factor 2*l**4/9 + 4*l**3/9 - 4*l/9 - 2/9.
2*(l - 1)*(l + 1)**3/9
Let -3*h**2 - 879*h = 0. Calculate h.
-293, 0
Solve 7*x**3 - 74*x**2 + 215*x - 100 = 0 for x.
4/7, 5
Factor 3*m**4 - 474*m**3 + 25272*m**2 - 470496*m + 843648.
3*(m - 52)**3*(m - 2)
Find m such that 325*m**3 - 647*m**2 + 319*m + 3 = 0.
-3/325, 1
What is i in 2*i**4/5 - 984*i**3/5 + 122012*i**2/5 - 48216*i + 24010 = 0?
1, 245
Determine w, given that 8*w**5/3 - 460*w**4/3 + 2312*w**3 - 8960*w**2/3 - 6272*w/3 = 0.
-1/2, 0, 2, 28
Determine p, given that -2*p**4 - 64*p**3 - 668*p**2 - 2496*p - 3042 = 0.
-13, -3
Factor 5*n**3 - 8865*n**2 + 3933840*n - 3924980.
5*(n - 886)**2*(n - 1)
Factor 2*s**2/3 - 10*s/3 - 16.
2*(s - 8)*(s + 3)/3
Let 12*i**3 + 301*i**2 + 1742*i - 1859 = 0. What is i?
-13, 11/12
Let -3*w**3 - 13*w**2 + 32*w + 12 = 0. Calculate w.
-6, -1/3, 2
Find b, given that 32*b**3 - 52*b**2 - 32*b + 52 = 0.
-1, 1, 13/8
Suppose 3*j**5/5 - 3*j**4/5 = 0. Calculate j.
0, 1
Factor -5*j**4 + 4730*j**3 - 1123365*j**2 + 2232560*j - 1113920.
-5*(j - 472)**2*(j - 1)**2
Find w, given that -43940*w**5 + 651664*w**4 - 3129984*w**3 + 4390848*w**2 + 2299968*w = 0.
-2/5, 0, 66/13
Factor -4*o**4 + 40*o**3 + 148*o**2 + 104*o.
-4*o*(o - 13)*(o + 1)*(o + 2)
Factor -b**2/2 + 60*b + 121/2.
-(b - 121)*(b + 1)/2
Determine c so that -8*c**5 - 6*c**4 + 178*c**3 - 396*c**2 + 280*c - 48 = 0.
-6, 1/4, 1, 2
Determine q so that -5*q**3 + 430*q**2 - 425*q = 0.
0, 1, 85
Let -5*q**3 + 17535*q**2 - 15382575*q + 15365045 = 0. Calculate q.
1, 1753
Factor 2*o**3 + 40*o**2 + 74*