17)**2*(5*w - 2)/5
Let i**4/3 + 115*i**3/3 - i**2 - 347*i/3 - 230/3 = 0. Calculate i.
-115, -1, 2
Factor 2*k**2/5 + 28*k/15 - 128/5.
2*(k - 6)*(3*k + 32)/15
Determine b, given that -2*b**2 + 54*b - 100 = 0.
2, 25
Suppose -4*p**4 + 84*p**3 + 92*p**2 - 84*p - 88 = 0. What is p?
-1, 1, 22
Solve h**2/4 + 71*h/4 + 165/2 = 0 for h.
-66, -5
Let 6859*z**4/8 + 9025*z**3/8 + 1197*z**2/4 + 59*z/2 + 1 = 0. What is z?
-1, -2/19
Factor 2*r**5/3 - 14*r**4/3 - 16*r**3/3.
2*r**3*(r - 8)*(r + 1)/3
What is c in 2*c**5/5 - 114*c**4/5 + 2126*c**3/5 - 14502*c**2/5 + 23072*c/5 - 10584/5 = 0?
1, 14, 27
Factor 2*x**3/11 + 12*x**2/11 - 192*x/11 + 448/11.
2*(x - 4)**2*(x + 14)/11
Factor -2*q**3/15 - 14*q**2/5 - 44*q/3.
-2*q*(q + 10)*(q + 11)/15
Suppose 5*c**3 + 145*c**2 + 520*c + 500 = 0. What is c?
-25, -2
Determine p so that -p**5/3 + 5*p**4/2 - 19*p**3/3 + 11*p**2/2 + 2*p/3 - 2 = 0.
-1/2, 1, 2, 3
Factor -2*d**3/5 - 4*d**2/5 + 18*d/5 + 36/5.
-2*(d - 3)*(d + 2)*(d + 3)/5
Factor -3*m**4/7 - 4*m**3/7 - m**2/7.
-m**2*(m + 1)*(3*m + 1)/7
Suppose 2*n**5 + 6*n**4 - 2*n**3 - 22*n**2 - 24*n - 8 = 0. Calculate n.
-2, -1, 2
Let -25*k**5/3 + 110*k**4/3 - 166*k**3/3 + 104*k**2/3 - 25*k/3 + 2/3 = 0. Calculate k.
1/5, 1, 2
Factor -2*x**2/13 + 32*x/13 - 56/13.
-2*(x - 14)*(x - 2)/13
Find r such that -2*r**2 - 24*r - 72 = 0.
-6
Let -24*l**5 - 584*l**4 + 1018*l**3 - 568*l**2 + 104*l = 0. What is l?
-26, 0, 1/2, 2/3
Suppose 2*x**2 - 348*x + 15138 = 0. Calculate x.
87
Factor x**2/8 + 227*x/4 + 51529/8.
(x + 227)**2/8
Factor 7*t**3/2 + 5482*t**2 + 4294755*t/2 + 613089.
(t + 783)**2*(7*t + 2)/2
Factor 21*w**4 + 1959*w**3 + 61101*w**2 + 642909*w + 178746.
3*(w + 31)**3*(7*w + 2)
Factor 2*o**4 + 42*o**3 - 216*o**2 - 6400*o - 6144.
2*(o - 12)*(o + 1)*(o + 16)**2
Find x, given that -2*x**3/3 - 26*x**2/3 + 70*x - 114 = 0.
-19, 3
Find m, given that 2*m**3/7 - 202*m**2/7 + 5888*m/7 - 38088/7 = 0.
9, 46
Factor -4*i**2 - 33280*i - 69222400.
-4*(i + 4160)**2
Let -4*q**3/3 + 2000*q**2 - 1000000*q + 500000000/3 = 0. Calculate q.
500
Determine h, given that h**2 - 21*h + 38 = 0.
2, 19
Let b**3/2 + b**2 - 11*b/2 - 6 = 0. What is b?
-4, -1, 3
Let 125*h**4/2 - 4775*h**3 - 2910*h**2 + 1735*h - 385/2 = 0. Calculate h.
-1, 1/5, 77
Let -25*f**5 + 90*f**4 + 90*f**3 - 280*f**2 - 345*f - 90 = 0. Calculate f.
-1, -2/5, 3
Let 2*l**3/7 + 284*l**2/7 - 82*l + 288/7 = 0. Calculate l.
-144, 1
Let -4*q**3 - 1392*q**2 - 121104*q = 0. What is q?
-174, 0
Factor k**3/4 - 25*k**2/4.
k**2*(k - 25)/4
Factor f**2/9 - 26*f/3 + 77/9.
(f - 77)*(f - 1)/9
Suppose -3*g**3 - 3*g**2 + 6*g = 0. Calculate g.
-2, 0, 1
Factor f**4 - 6*f**3 + 32*f.
f*(f - 4)**2*(f + 2)
Find z, given that -6305121*z**4/7 + 1802898*z**3 + 18895271*z**2/7 - 30124*z/7 + 12/7 = 0.
-1, 2/2511, 3
Solve -21*d**3/5 + 516*d**2/5 + 771*d/5 + 234/5 = 0 for d.
-1, -3/7, 26
Factor 2*u**5/3 + 36*u**4 - 110*u**3/3.
2*u**3*(u - 1)*(u + 55)/3
Factor -5*o**2/3 - 250*o/3 - 3125/3.
-5*(o + 25)**2/3
Factor -25*l**5 + 110*l**4 - 140*l**3 + 40*l**2.
-5*l**2*(l - 2)**2*(5*l - 2)
Determine f so that -5*f**2 - 615*f - 2380 = 0.
-119, -4
What is w in -3*w**4 - 9*w**3 + 90*w**2 + 384*w + 288 = 0?
-4, -1, 6
Suppose q**4 + 31*q**3 - 237*q**2 - 563*q - 296 = 0. Calculate q.
-37, -1, 8
Find n such that 3*n**3/2 + 9*n**2/2 - 39*n/2 - 45/2 = 0.
-5, -1, 3
What is j in 4*j**5/3 - 212*j**4 + 11624*j**3/3 - 70840*j**2/3 + 35868*j + 190708/3 = 0?
-1, 7, 139
Factor r**2 - 35*r + 276.
(r - 23)*(r - 12)
Factor -3*v**4/7 - 3*v**3 + 3*v**2/7 + 3*v.
-3*v*(v - 1)*(v + 1)*(v + 7)/7
Solve -3*p**5/2 + 18*p**4 + 21*p**3 - 18*p**2 - 39*p/2 = 0.
-1, 0, 1, 13
Determine k so that -7*k**4/4 + 45*k**3/4 - 51*k**2/2 + 23*k - 6 = 0.
3/7, 2
Suppose 3*l**2 - 6432*l + 3447552 = 0. What is l?
1072
Factor -3*s**3/5 + 528*s**2/5.
-3*s**2*(s - 176)/5
Factor 5*b**5 + 10*b**4 - 20*b**3 - 10*b**2 + 15*b.
5*b*(b - 1)**2*(b + 1)*(b + 3)
What is p in p**4/4 + 21*p**3 + 41*p**2/2 - 21*p - 83/4 = 0?
-83, -1, 1
Suppose 160*p**5 - 1744*p**4 - 3126*p**3 + 1880*p**2 - 248*p = 0. What is p?
-2, 0, 1/4, 62/5
Factor -4770*c**3 - 6324*c**2 - 2072*c + 16.
-2*(3*c + 2)**2*(265*c - 2)
Solve 16*b**5 + 192*b**4 - 228*b**3 - 248*b**2 + 156*b = 0.
-13, -1, 0, 1/2, 3/2
Let o**2/9 - 29*o/9 + 26/3 = 0. Calculate o.
3, 26
Factor -5*n**2 + 105*n + 1550.
-5*(n - 31)*(n + 10)
Suppose -2*l**2 - 8*l + 42 = 0. What is l?
-7, 3
Factor -3*c**3/4 + 21*c**2/2 - 105*c/4 + 33/2.
-3*(c - 11)*(c - 2)*(c - 1)/4
Factor w**4/4 - 6*w**3 + 45*w**2/4 - 11*w/2.
w*(w - 22)*(w - 1)**2/4
Solve -3*a**2 + 6*a + 9 = 0 for a.
-1, 3
Determine y so that -y**4/5 + 51*y**3/5 + 162*y**2/5 = 0.
-3, 0, 54
Determine x, given that 141*x**3 - 570*x**2 + 447*x - 18 = 0.
2/47, 1, 3
Let 4*p**2 - 720*p + 32400 = 0. What is p?
90
Factor 1922*q**4 + 248*q**3/3 + 8*q**2/9.
2*q**2*(93*q + 2)**2/9
Find s, given that 15*s**2 - 85*s - 30 = 0.
-1/3, 6
Factor w**3/4 - 21*w**2/2 + 20*w.
w*(w - 40)*(w - 2)/4
Factor -b**3 + 55*b**2 - 667*b - 2523.
-(b - 29)**2*(b + 3)
Factor 5*z**4/4 - 215*z**3/4 + 1015*z**2/2.
5*z**2*(z - 29)*(z - 14)/4
Factor -m**2 + 15348*m - 58890276.
-(m - 7674)**2
Solve 2*m**4 - 51*m**3 + 360*m**2 - 432*m = 0 for m.
0, 3/2, 12
Let -a**4/8 + 13*a**3/8 + 187*a**2/8 - 409*a/8 + 105/4 = 0. What is a?
-10, 1, 21
What is f in 3*f**4 - 6*f**3 - 27*f**2 + 54*f = 0?
-3, 0, 2, 3
Factor 3*u**2/4 - u + 1/4.
(u - 1)*(3*u - 1)/4
Let -2*t**2 - 156*t + 1566 = 0. What is t?
-87, 9
What is a in -4*a**5 + 12*a**4 - 4*a**3 - 12*a**2 + 8*a = 0?
-1, 0, 1, 2
Solve -x**3/3 + 12*x**2 - 135*x + 450 = 0.
6, 15
Factor -3*q**3/7 + 6*q**2/7 + 72*q/7.
-3*q*(q - 6)*(q + 4)/7
Find x, given that 2*x**2/7 - 1468*x/7 = 0.
0, 734
Factor -u**4/2 + 35*u**3/2 + u**2/2 - 35*u/2.
-u*(u - 35)*(u - 1)*(u + 1)/2
Factor 2*d**2 + 46*d - 2856.
2*(d - 28)*(d + 51)
Factor -s**5 - s**4 + 3*s**3 + s**2 - 2*s.
-s*(s - 1)**2*(s + 1)*(s + 2)
Factor 2*f**2/11 - 64*f/11 + 120/11.
2*(f - 30)*(f - 2)/11
Let 45*r**3 + 320*r**2 - 325*r - 40 = 0. What is r?
-8, -1/9, 1
Factor -w**4/6 + 3*w**3/2 + 11*w**2/2 + 35*w/6 + 2.
-(w - 12)*(w + 1)**3/6
Factor g**2 - 28*g - 204.
(g - 34)*(g + 6)
Solve -t**2/4 - 161*t - 25921 = 0.
-322
Let 5*f**3 + 65*f**2 - 145*f + 75 = 0. Calculate f.
-15, 1
Factor -3*f**4 + 9*f**3 + 9*f**2 - 21*f - 18.
-3*(f - 3)*(f - 2)*(f + 1)**2
Suppose 4*x**4 - 48*x**3 - 12*x**2 + 152*x - 96 = 0. Calculate x.
-2, 1, 12
Find k, given that -2*k**4/5 + 424*k**3/5 + 856*k**2/5 = 0.
-2, 0, 214
What is a in 63*a**3 + 4182*a**2 - 2607*a + 402 = 0?
-67, 2/7, 1/3
Factor j**4/8 + 7*j**3/8 + j**2/2 - 3*j/2.
j*(j - 1)*(j + 2)*(j + 6)/8
Let -n**3/6 + n**2/6 + 10*n/3 = 0. Calculate n.
-4, 0, 5
Suppose n**4 + 7*n**3 - 117*n**2 + 405*n - 432 = 0. Calculate n.
-16, 3
Suppose -4*a**3 - 368*a**2 + 372*a = 0. What is a?
-93, 0, 1
Solve a**2 + 46*a + 529 = 0 for a.
-23
Factor -2*w**3.
-2*w**3
Solve -2*n**4/7 + 12*n**3/7 - 26*n**2/7 + 24*n/7 - 8/7 = 0 for n.
1, 2
Solve -3*m**2/2 + 12*m + 30 = 0.
-2, 10
Determine m so that m**2 - 654*m + 106929 = 0.
327
Find w, given that 3*w**3 - 3*w**2 - 36*w = 0.
-3, 0, 4
Let -s**3 - 43*s**2 - 159*s - 117 = 0. Calculate s.
-39, -3, -1
Factor -3*m**4 - 24*m**3 + 36*m**2 + 432*m.
-3*m*(m - 4)*(m + 6)**2
Factor -6*f**2/7 + 4150*f/7 - 2764/7.
-2*(f - 691)*(3*f - 2)/7
What is w in -3*w**2/4 - 345*w/4 + 87 = 0?
-116, 1
Solve -162*d**5/13 + 306*d**4/13 - 176*d**3/13 + 32*d**2/13 = 0.
0, 4/9, 1
Factor 3*t**5 - 12*t**4 + 6*t**3 + 12*t**2 - 9*t.
3*t*(t - 3)*(t - 1)**2*(t + 1)
Find i such that -3*i**4/5 + 57*i**3/5 - 102*i**2/5 = 0.
0, 2, 17
Solve -u**5 - 3*u**4 + 15*u**3 + 55*u**2 + 6*u - 72 = 0.
-3, -2, 1, 4
Let -o**2/4 + 11*o/4 = 0. What is o?
0, 11
Factor -5*z**2 + 740*z - 27380.
-5*(z - 74)**2
Factor -2*f**3/3 + 8*f**2.
-2*f**2*(f - 12)/3
Find j, given that -2*j**5/3 - 50*j**4/9 - 70*j**3/9 + 70*j**2/3 + 316*j/9 + 80/9 = 0.
-5, -4, -1, -1/3, 2
Find n, given that -5*n**2 - 3805*n + 3810 = 0.
-762, 1
Factor 2*r**3 - 20*r**2/7 - 16*r/7.
2*r*(r - 2)*(7*r + 4)/7
Suppose -s**3/4 - 9*s**2/4 + 21*s/4 - 11/4 = 0. Calculate s.
-11, 1
Find l, given that l**5/3 - 8*l**4/3 - 5*l**3/3 + 40*l**2/3 + 4*l/3 - 32/3 = 0.
-2, -1, 1, 2, 8
Factor 2*v**3 + 4*v**2.
2*v**2*(v + 2)
Factor -2*j**3/5 - 114*j**2/5 + 1584*j/5 - 4968/5.
-2*(j - 6)**2*(j + 69)/5
What is r in 2*r**2/5 + 38*r - 388/5 = 0?
-97, 2
Factor -108*u**5 - 15120*u**4 - 5441