 that -o**2/2 + o/2 + 1 = 0.
-1, 2
Find k, given that -1715*k**3 - 49980*k**2 - 485520*k - 1572160 = 0.
-68/7
Factor -3*h**2 - 21*h - 18.
-3*(h + 1)*(h + 6)
Let 5*p**5 + 10*p**4 - 10*p**3 - 20*p**2 + 5*p + 10 = 0. Calculate p.
-2, -1, 1
Factor -2*x**3/5 + 2326*x**2/5 + 4658*x/5 + 466.
-2*(x - 1165)*(x + 1)**2/5
Factor 3*n**5/4 - 3*n**4/4 - 3*n**3/2 + 3*n**2/2 + 3*n/4 - 3/4.
3*(n - 1)**3*(n + 1)**2/4
Find r, given that r**5/3 - 343*r**4/3 - 230*r**3 - 2*r**2/3 + 689*r/3 + 115 = 0.
-1, 1, 345
Find s such that -4*s**3 - 28*s**2 + 144*s + 1008 = 0.
-7, -6, 6
Factor 3*x**2/4 - 5*x/2 + 2.
(x - 2)*(3*x - 4)/4
Factor 2*b**2 - 58*b/3 + 12.
2*(b - 9)*(3*b - 2)/3
Factor 4*g**4 - 32*g**3 + 88*g**2 - 96*g + 36.
4*(g - 3)**2*(g - 1)**2
Find t such that -3*t**3 + 30*t**2 - 21*t - 54 = 0.
-1, 2, 9
Factor -4*s**2 - 101*s/2 + 39/2.
-(s + 13)*(8*s - 3)/2
Find g, given that -3*g**5 - 3*g**4 + 48*g**3 + 48*g**2 = 0.
-4, -1, 0, 4
Find x such that -2*x**4/15 - 8*x**3/15 - 4*x**2/5 - 8*x/15 - 2/15 = 0.
-1
Suppose -2*m**3 - 42*m**2 + 882*m - 3430 = 0. What is m?
-35, 7
Let -2*d**3 - 1008*d**2 - 127008*d = 0. Calculate d.
-252, 0
Suppose -2*s**2/13 + 4*s - 26 = 0. What is s?
13
Suppose 220*m**5 + 645*m**4 + 605*m**3 + 145*m**2 - 45*m - 10 = 0. What is m?
-1, -2/11, 1/4
What is b in 3*b**5 + 144*b**4 + 1854*b**3 + 2760*b**2 - 4761*b = 0?
-23, -3, 0, 1
Determine g, given that -400*g**5 - 10840*g**4 + 21575*g**3 - 13370*g**2 + 3325*g - 290 = 0.
-29, 1/4, 2/5, 1
Determine r so that -3*r**3 + 51*r**2 - 240*r + 192 = 0.
1, 8
Solve -5*i**2 - 450*i - 4000 = 0 for i.
-80, -10
Factor 15*y**2/2 - 10*y - 10.
5*(y - 2)*(3*y + 2)/2
Let -5*w**4 + 60*w**3 - 80*w**2 - 240*w + 400 = 0. What is w?
-2, 2, 10
Factor 4*p**2/7 - 76*p/7 - 24.
4*(p - 21)*(p + 2)/7
What is c in c**2/4 - 333*c/4 - 595 = 0?
-7, 340
Suppose -l**3/9 - l**2/3 + 4*l/9 = 0. Calculate l.
-4, 0, 1
What is z in 5*z**5 - 165*z**4 + 1395*z**3 + 205*z**2 - 12960*z + 11520 = 0?
-3, 1, 3, 16
Factor 3*w**3/4 + 6*w**2 - 57*w/4 + 15/2.
3*(w - 1)**2*(w + 10)/4
Factor -5*q**2 - 25*q + 70.
-5*(q - 2)*(q + 7)
Suppose 5*h**2 - 1955*h - 1960 = 0. Calculate h.
-1, 392
Factor i**5/4 + 3*i**4/4 - 5*i**3/4 - 3*i**2/4 + i.
i*(i - 1)**2*(i + 1)*(i + 4)/4
Factor 3*g**4 - 24*g**3 - 24*g**2 + 288*g + 432.
3*(g - 6)**2*(g + 2)**2
Solve 2*r**3 + 1496*r**2 + 279752*r = 0.
-374, 0
Let -12*f**5 + 1268*f**4 - 2076*f**3 - 436*f**2 + 2088*f - 832 = 0. What is f?
-1, 2/3, 1, 104
Determine r, given that -2*r**3/5 - 36*r**2/5 - 6*r + 68/5 = 0.
-17, -2, 1
Determine q, given that 3*q**2 - 228*q - 1743 = 0.
-7, 83
Suppose -k**5/2 + 5*k**4/2 - k**3/2 - 13*k**2/2 + k + 4 = 0. What is k?
-1, 1, 2, 4
Solve 3*a**3 - 84*a**2 - 2577*a - 4794 = 0.
-17, -2, 47
Determine g, given that 2*g**5 - 36*g**4 - 48*g**3 + 196*g**2 - 114*g = 0.
-3, 0, 1, 19
Determine o so that -2*o**2 + 286*o + 2100 = 0.
-7, 150
Factor 2*d**3/11 - 18*d**2/11 - 290*d/11 + 306/11.
2*(d - 17)*(d - 1)*(d + 9)/11
Determine u, given that -3*u**4 - 6*u**3 + 36*u**2 - 42*u + 15 = 0.
-5, 1
Factor -3*w**5 - 57*w**4 - 405*w**3 - 1275*w**2 - 1500*w.
-3*w*(w + 4)*(w + 5)**3
Let -6*k**3/5 - 8*k**2/5 - 2*k/5 = 0. What is k?
-1, -1/3, 0
What is o in 2*o**5 + 18*o**4 - 2*o**3 - 18*o**2 = 0?
-9, -1, 0, 1
Let 2*a**3/9 + 34*a**2/9 - 76*a/9 = 0. What is a?
-19, 0, 2
Let -4*j**2 + 164*j - 160 = 0. Calculate j.
1, 40
Factor g**4/3 - 14*g**3/9 + 20*g**2/9 - 8*g/9.
g*(g - 2)**2*(3*g - 2)/9
Solve z**5 + 85*z**4 - 89*z**3 - 253*z**2 + 428*z - 172 = 0 for z.
-86, -2, 1
Let -3*q**4 + 657*q**3 - 1305*q**2 + 651*q = 0. Calculate q.
0, 1, 217
Factor 2*i**2/17 + 276*i/17 - 278/17.
2*(i - 1)*(i + 139)/17
Find d, given that -2*d**4 + 32*d**3 - 110*d**2 = 0.
0, 5, 11
Suppose -4*u**5 + 24*u**4 + 84*u**3 - 136*u**2 - 192*u = 0. Calculate u.
-3, -1, 0, 2, 8
Factor -2*u**2 - 21*u/4 + 9/4.
-(u + 3)*(8*u - 3)/4
Find l, given that 2*l**5/3 - l**4/3 - 14*l**3/3 + 19*l**2/3 - 2*l = 0.
-3, 0, 1/2, 1, 2
Factor -o**4 - 40*o**3 - 437*o**2 - 722*o.
-o*(o + 2)*(o + 19)**2
What is l in -48*l**3 - 7700*l**2 + 12296*l - 2592 = 0?
-162, 1/4, 4/3
Factor -5*w**4 + 5*w**3 + 75*w**2 + 115*w + 50.
-5*(w - 5)*(w + 1)**2*(w + 2)
Factor 4*i**4 - 252*i**3 + 492*i**2 - 244*i.
4*i*(i - 61)*(i - 1)**2
Suppose -a**5/4 + 123*a**4/4 - 2521*a**3/2 + 34399*a**2/2 + 5043*a/4 - 68921/4 = 0. Calculate a.
-1, 1, 41
Factor s**2/7 + 65*s/7 + 750/7.
(s + 15)*(s + 50)/7
What is n in -3*n**3/2 + 477*n**2/2 - 705*n + 468 = 0?
1, 2, 156
Factor 2*y**4/3 + 2*y**3 - 48*y**2 + 352*y/3.
2*y*(y - 4)**2*(y + 11)/3
What is f in 9*f**5/4 + 33*f**4/4 - 18*f**3 - 15*f**2 = 0?
-5, -2/3, 0, 2
Factor -8*h**5/9 + 70*h**4/9 - 80*h**3/3 + 400*h**2/9 - 320*h/9 + 32/3.
-2*(h - 2)**4*(4*h - 3)/9
Factor 18*n**3 - 458*n**2 + 1028*n - 368.
2*(n - 23)*(n - 2)*(9*n - 4)
Find s such that 52*s**3 + 8416*s**2 - 1296*s = 0.
-162, 0, 2/13
Determine o so that -7*o**5 - 54*o**4 + 226*o**3 - 284*o**2 + 141*o - 22 = 0.
-11, 2/7, 1
Factor -u**3/5 - 8*u**2/5 - 12*u/5.
-u*(u + 2)*(u + 6)/5
Let 20*s**3 + 355*s**2 + 250*s - 85 = 0. What is s?
-17, -1, 1/4
Determine x so that 2*x**3/15 - 22*x**2/5 + 114*x/5 - 162/5 = 0.
3, 27
Factor -3*r**4 + 342*r**3 - 9387*r**2 - 21228*r + 30276.
-3*(r - 58)**2*(r - 1)*(r + 3)
Find s such that -5*s**5 + 55*s**4 - 105*s**3 - 155*s**2 + 250*s + 240 = 0.
-1, 2, 3, 8
Determine g, given that -g**4/5 - 24*g**3/5 - 172*g**2/5 - 96*g - 448/5 = 0.
-14, -4, -2
Find y, given that 65*y**4 + 215*y**3 + 60*y**2 = 0.
-3, -4/13, 0
Determine c, given that 168*c**2 - 212*c + 60 = 0.
3/7, 5/6
Factor p**3/7 - 12*p/7 + 16/7.
(p - 2)**2*(p + 4)/7
Factor -3*t**2/5 + 97*t/5 + 66/5.
-(t - 33)*(3*t + 2)/5
Factor -2*v**3 - 272*v**2 - 1570*v - 1300.
-2*(v + 1)*(v + 5)*(v + 130)
Factor 4*i**5 + 28*i**4 + 24*i**3 - 112*i**2 - 160*i.
4*i*(i - 2)*(i + 2)**2*(i + 5)
Suppose 6*l**2 - 710*l - 1200 = 0. Calculate l.
-5/3, 120
Factor -i**2/9 + 121/9.
-(i - 11)*(i + 11)/9
Let -26*m**3 - 50*m**2 + 32*m + 56 = 0. Calculate m.
-2, -1, 14/13
Let 5*n**4 - 3460*n**3 + 602010*n**2 - 1179900*n - 1785375 = 0. Calculate n.
-1, 3, 345
Factor 5*n**2 + 535*n + 3500.
5*(n + 7)*(n + 100)
What is c in -4*c**3 - 1484*c**2 - 138380*c - 136900 = 0?
-185, -1
Find v, given that -2*v**3/9 - 128*v**2/9 - 928*v/9 - 1792/9 = 0.
-56, -4
Determine z so that -4*z**5 + 100*z**4 - 656*z**3 + 560*z**2 = 0.
0, 1, 10, 14
Suppose -2*f**4/13 - 12*f**3/13 + 48*f**2/13 + 448*f/13 + 768/13 = 0. What is f?
-4, 6
Find k such that 2*k**4 - 24*k**2 + 32*k = 0.
-4, 0, 2
Let -h**5/4 - h**4 + 3*h**3 = 0. Calculate h.
-6, 0, 2
Factor 4*w**4 - 4*w**3 - 60*w**2 - 92*w - 40.
4*(w - 5)*(w + 1)**2*(w + 2)
Solve 4*q**5 - 12*q**4 - 40*q**3 + 208*q**2 - 288*q + 128 = 0 for q.
-4, 1, 2
Suppose -4*v**5 + 196*v**4 - 3216*v**3 + 18576*v**2 - 15552*v = 0. What is v?
0, 1, 12, 18
Factor -2*w**3/3 + 26*w**2/3.
-2*w**2*(w - 13)/3
Factor -2*x**2/13 - 350*x/13 - 348/13.
-2*(x + 1)*(x + 174)/13
Factor -2*n**3 - 8*n**2 + 56*n - 64.
-2*(n - 2)**2*(n + 8)
Factor 4*w**4 + 415*w**3 - 3624*w**2 + 8048*w - 1792.
(w - 4)**2*(w + 112)*(4*w - 1)
Factor -5*d**5 + 60*d**4 - 240*d**3 + 400*d**2 - 240*d.
-5*d*(d - 6)*(d - 2)**3
Factor -p**4 + 2*p**3 + 5*p**2 - 6*p.
-p*(p - 3)*(p - 1)*(p + 2)
Factor -4*s**4/9 - 128*s**3/9 - 160*s**2 - 6400*s/9 - 8000/9.
-4*(s + 2)*(s + 10)**3/9
Solve -m**2 - 13*m + 14 = 0 for m.
-14, 1
Suppose 5*q**5 - 50*q**4 + 60*q**3 + 200*q**2 - 320*q = 0. Calculate q.
-2, 0, 2, 8
Factor -5*z**3 + 40*z**2 - 55*z - 100.
-5*(z - 5)*(z - 4)*(z + 1)
Factor 2*h**3/7 - 156*h**2/7 + 2880*h/7 + 6400/7.
2*(h - 40)**2*(h + 2)/7
Determine n so that n**2/8 + n/8 - 1/4 = 0.
-2, 1
Let -q**3 + 4*q**2 + 171*q - 1134 = 0. Calculate q.
-14, 9
Factor 2*j**2/13 - 6100*j/13.
2*j*(j - 3050)/13
Suppose -2*n**2/9 - 218*n/3 + 656/9 = 0. What is n?
-328, 1
Factor -2*f**4 - 16*f**3 - 34*f**2 - 20*f.
-2*f*(f + 1)*(f + 2)*(f + 5)
Factor -3*j**2/4 + 135*j/2 - 6075/4.
-3*(j - 45)**2/4
Factor v**2/8 - 3821*v/2 + 14600041/2.
(v - 7642)**2/8
Factor -25*m**4/4 - 365*m**3 - 10803*m**2/2 - 2117*m - 841/4.
-(m + 29)**2*(5*m + 1)**2/4
Suppose -2*p**2 + 34*p + 76 = 0. Calculate p.
-2, 19
Factor -i**3/3 - 15*i**2 - 200*i - 2000/3.
-(i + 5)*(i + 20)**2/3
Suppose -2*n**2 - 1440*n - 259200 = 0. Calculate n.
-360
Factor u**4 - 63*u**3 + 893*u**2 + 3135*u + 2178.
(u - 33)**2*(u + 1)*(u + 2)
Factor 26*w**2/3 - 106*