- 166.
-(k - 166)*(4*k - 1)
Solve 2*m**4/3 + 8*m**3/3 - 2*m**2 - 20*m/3 + 16/3 = 0.
-4, -2, 1
Factor -5*n**2 + 130*n + 135.
-5*(n - 27)*(n + 1)
Suppose -125*x**3 - 75*x**2 - 10*x = 0. Calculate x.
-2/5, -1/5, 0
Factor -2*b**4/17 + 328*b**3/17 - 20168*b**2/17 + 551040*b/17 - 5644800/17.
-2*(b - 42)**2*(b - 40)**2/17
Solve -2*n**3 - 20*n**2 + 74*n - 52 = 0 for n.
-13, 1, 2
Let 8*l**2/5 - 19*l/5 + 6/5 = 0. What is l?
3/8, 2
Find p such that -15*p**4 + 29*p**3 + 4*p**2 - 4*p = 0.
-2/5, 0, 1/3, 2
Factor -2*z**2 + 146*z + 148.
-2*(z - 74)*(z + 1)
Suppose -6*r**3/11 + 10*r**2/11 + 68*r/11 - 48/11 = 0. What is r?
-3, 2/3, 4
What is f in 2*f**5/9 + 34*f**4/9 + 10*f**3/3 - 34*f**2/9 - 32*f/9 = 0?
-16, -1, 0, 1
Factor j**2/2 - 100*j + 5000.
(j - 100)**2/2
Factor 26*h**2/7 - 256*h/7 - 40/7.
2*(h - 10)*(13*h + 2)/7
Find b, given that 2*b**2 - 368*b + 16928 = 0.
92
What is c in c**2/11 + 25*c/11 - 84/11 = 0?
-28, 3
Factor -20*w**2 + 3772*w - 2256.
-4*(w - 188)*(5*w - 3)
Factor t**5 - 11*t**4 + 47*t**3 - 97*t**2 + 96*t - 36.
(t - 3)**2*(t - 2)**2*(t - 1)
Find x such that 24*x**3 + 39*x**2 + 6*x - 9 = 0.
-1, 3/8
Factor -z**2/2 + 87*z.
-z*(z - 174)/2
Factor 2*r**2/7 + 716*r/7 + 1424/7.
2*(r + 2)*(r + 356)/7
Factor 4*j**2 - 4.
4*(j - 1)*(j + 1)
Factor 3*b**4 + 3*b**3 - 60*b**2.
3*b**2*(b - 4)*(b + 5)
Suppose 4*u**3 - 113*u**2 + 668*u - 160 = 0. Calculate u.
1/4, 8, 20
Find p such that 2*p**2/5 + 22*p/5 + 4 = 0.
-10, -1
Solve 16*a**4/5 + 8*a**3/5 - 3*a**2 - 9*a/5 = 0 for a.
-3/4, 0, 1
Determine c so that -c**5/3 - 13*c**4 - 373*c**3/3 - 287*c**2 + 1274*c/3 = 0.
-26, -7, 0, 1
Factor -5*o**3 - 15*o**2 + 125*o - 105.
-5*(o - 3)*(o - 1)*(o + 7)
Factor -2*u**2 - 43*u/3 + 61.
-(u - 3)*(6*u + 61)/3
Determine o so that o**3/10 - o**2/2 - 3*o/5 = 0.
-1, 0, 6
Suppose -2*q**2/5 + 158*q/5 = 0. What is q?
0, 79
Factor -165*u**3 - 3306*u**2 - 6060*u - 216.
-3*(u + 2)*(u + 18)*(55*u + 2)
Determine o, given that -4*o**4/3 - 23*o**3/6 - 2*o**2/3 + 29*o/6 + 3 = 0.
-2, -1, 9/8
Factor d**3 + 4*d**2 - 165*d.
d*(d - 11)*(d + 15)
What is o in o**2 + 718*o + 1432 = 0?
-716, -2
Solve -2*w**4/13 + 2*w**3 + 30*w**2/13 - 2*w - 28/13 = 0.
-1, 1, 14
Factor 456533*v**3/6 + 142296*v**2 + 88704*v + 18432.
(77*v + 48)**3/6
Solve -u**5 - 62*u**4 + 262*u**3 - 136*u**2 - 261*u + 198 = 0.
-66, -1, 1, 3
Factor -3*m**4 + 9*m**3 + 27*m**2 + 15*m.
-3*m*(m - 5)*(m + 1)**2
Find o, given that -9*o**5/8 - 165*o**4/8 + 303*o**3/8 + 45*o**2/8 - 147*o/4 + 15 = 0.
-20, -1, 2/3, 1
Let -v**2/4 + 19*v/2 - 105/4 = 0. What is v?
3, 35
Solve -10*b**3 + 5656*b**2 - 798626*b - 320356 = 0 for b.
-2/5, 283
Let 108*w**5 - 270*w**4 + 117*w**3 - 37*w**2/2 + w = 0. What is w?
0, 1/6, 2
Solve -5*c**2 + 155*c + 330 = 0.
-2, 33
Find n such that 2*n**2/23 + 148*n/23 + 2738/23 = 0.
-37
Suppose 2*q**2/11 - 2*q + 56/11 = 0. What is q?
4, 7
Suppose b**3 + 25*b**2 - 273*b - 7497 = 0. What is b?
-21, 17
Let 4*q**5/9 + 62*q**4/9 + 320*q**3/9 + 550*q**2/9 = 0. Calculate q.
-11/2, -5, 0
Let -4*o**4/7 - 6*o**3/7 + 4*o**2/7 + 6*o/7 = 0. What is o?
-3/2, -1, 0, 1
Find y, given that -y**2 - 168*y + 865 = 0.
-173, 5
Factor y**2 + 134*y + 4489.
(y + 67)**2
Factor -v**5 + 5*v**4 + 3*v**3 - 13*v**2 - 10*v.
-v*(v - 5)*(v - 2)*(v + 1)**2
Factor -9*d**4 - 34*d**3 - 37*d**2 - 8*d + 4.
-(d + 1)**2*(d + 2)*(9*d - 2)
Factor 4*u**3/7 + 12*u**2/7.
4*u**2*(u + 3)/7
Factor -n**2/4 - 9*n/2 - 81/4.
-(n + 9)**2/4
Let -a**5/3 + 14*a**4 - 194*a**3/3 + 340*a**2/3 - 87*a + 74/3 = 0. What is a?
1, 2, 37
Solve 25*s**4 - 340*s**3 + 735*s**2 - 200*s - 220 = 0.
-2/5, 1, 2, 11
Suppose s**2/3 - 7*s + 20/3 = 0. What is s?
1, 20
Factor a**3 + 18*a**2 - 21*a - 38.
(a - 2)*(a + 1)*(a + 19)
Let -3*g**4/7 + 30*g**3/7 - 75*g**2/7 = 0. Calculate g.
0, 5
What is j in 3*j**2 + 186*j + 360 = 0?
-60, -2
Factor -15*f**2 + 228*f + 516.
-3*(f + 2)*(5*f - 86)
Factor -16*i**3/3 - 383*i**2/6 - 190*i + 6.
-(i + 6)**2*(32*i - 1)/6
Factor -x**4 + 6*x**3 + 15*x**2 + 8*x.
-x*(x - 8)*(x + 1)**2
Factor 5*w**2 - 13020*w + 8476020.
5*(w - 1302)**2
Let -5*u**2 + 480*u - 11520 = 0. What is u?
48
Suppose -r**3 + 19*r**2 + r - 19 = 0. What is r?
-1, 1, 19
Suppose -4*f**4/19 - 42*f**3/19 - 20*f**2/19 = 0. Calculate f.
-10, -1/2, 0
Factor -2*p**2/5 + 676*p/5 - 57122/5.
-2*(p - 169)**2/5
What is u in 3*u**3/5 + 3*u**2 + 21*u/5 + 9/5 = 0?
-3, -1
Find q such that -280*q**5 - 1222*q**4 + 2976*q**3 + 1328*q**2 - 256*q - 96 = 0.
-6, -2/5, -1/4, 2/7, 2
Factor 2*c**4/5 + 126*c**3/5 - 2*c**2/5 - 126*c/5.
2*c*(c - 1)*(c + 1)*(c + 63)/5
Factor 2*b**4 - 116*b**3 + 1416*b**2 - 5580*b + 6966.
2*(b - 43)*(b - 9)*(b - 3)**2
Factor 2*c**2/3 - 958*c/3.
2*c*(c - 479)/3
Suppose y**3/4 + 7*y**2/4 - y/4 - 7/4 = 0. What is y?
-7, -1, 1
Determine q, given that q**5/2 + 7*q**4/2 + 15*q**3/2 + 5*q**2/2 - 8*q - 6 = 0.
-3, -2, -1, 1
Find w, given that 2*w**5 + 12*w**4 - 840*w**3 - 8624*w**2 = 0.
-14, 0, 22
Factor -3*m**2/8 + 45*m/8.
-3*m*(m - 15)/8
Factor 5*m**4 - 25*m**3 - 5*m**2 + 25*m.
5*m*(m - 5)*(m - 1)*(m + 1)
Factor -3*u**3/5 - 246*u**2/5 - 1056*u - 1920.
-3*(u + 2)*(u + 40)**2/5
Factor t**4/7 - 23*t**3/7 - 4*t**2/7 + 92*t/7.
t*(t - 23)*(t - 2)*(t + 2)/7
Find a, given that 6*a**3 + 466*a**2 + 2468*a + 1440 = 0.
-72, -5, -2/3
What is w in -3*w**5 + 39*w**3 - 48*w**2 - 36*w + 48 = 0?
-4, -1, 1, 2
Suppose 36*i**5/7 - 318*i**4/7 + 934*i**3/7 - 1080*i**2/7 + 536*i/7 - 96/7 = 0. Calculate i.
1/2, 2/3, 3, 4
Factor 4*o**3 + 12*o**2 - 36*o - 108.
4*(o - 3)*(o + 3)**2
Factor x**2/4 - 20*x + 1479/4.
(x - 51)*(x - 29)/4
Factor -2*l**2/11 + 994*l/11 - 992/11.
-2*(l - 496)*(l - 1)/11
Factor -537920*a**3 + 2148400*a**2 + 13115*a + 20.
-5*(a - 4)*(328*a + 1)**2
What is z in -z**2/5 - 22*z/5 - 121/5 = 0?
-11
Factor m**3/7 + 15*m**2/7 + 27*m/7 + 13/7.
(m + 1)**2*(m + 13)/7
Factor -2*i**5 + 16*i**4 - 48*i**3 + 68*i**2 - 46*i + 12.
-2*(i - 3)*(i - 2)*(i - 1)**3
Let 2*z**2/21 + 16*z/7 - 512/21 = 0. Calculate z.
-32, 8
Suppose -20*z**5 - 15*z**4 + 40*z**3 + 30*z**2 - 20*z - 15 = 0. What is z?
-1, -3/4, 1
What is h in h**2/2 + 161*h - 323/2 = 0?
-323, 1
Determine g so that 5*g**5 - 100*g**4 - 105*g**3 + 6860*g**2 + 6860*g = 0.
-7, -1, 0, 14
Factor 2*j**2/3 + 782*j/3.
2*j*(j + 391)/3
Factor m**2/6 - m/3 - 85/2.
(m - 17)*(m + 15)/6
Factor 2*a**3/3 + 12*a**2 + 22*a + 32/3.
2*(a + 1)**2*(a + 16)/3
Suppose 3*f**2/8 + 123*f/8 - 1053/4 = 0. What is f?
-54, 13
What is n in 12*n**5 + 304*n**4 + 376*n**3 - 208*n**2 - 388*n - 96 = 0?
-24, -1, -1/3, 1
What is w in -54*w**4 - 141*w**3 + 93*w**2 + 93*w + 9 = 0?
-3, -1/2, -1/9, 1
Let -2*z**4/5 + 1562*z**3/5 - 81432*z**2 + 7111520*z - 7030400 = 0. Calculate z.
1, 260
What is r in -2*r**2/15 - 26*r/3 + 44/5 = 0?
-66, 1
Suppose 2*v**5/11 - 26*v**4/11 + 60*v**3/11 = 0. Calculate v.
0, 3, 10
Factor -2*v**3/3 + 74*v**2/3 - 224*v.
-2*v*(v - 21)*(v - 16)/3
Let -3*d**3 + 57*d**2 + 60*d = 0. Calculate d.
-1, 0, 20
Solve -308*k**4 + 624*k**3 - 16*k**2 = 0.
0, 2/77, 2
Let -d**2/10 - 14*d/5 - 26/5 = 0. Calculate d.
-26, -2
Factor -4*c**3 + 332*c**2 + 676*c + 340.
-4*(c - 85)*(c + 1)**2
Let 4*f**5 + 84*f**4 - 844*f**3 + 2364*f**2 - 2088*f = 0. What is f?
-29, 0, 2, 3
Determine n so that 2*n**4/9 - 40*n**3/9 + 70*n**2/3 - 100*n/9 - 352/9 = 0.
-1, 2, 8, 11
Suppose 3*d**5 - 54*d**4 - 483*d**3 - 1026*d**2 - 600*d = 0. What is d?
-4, -2, -1, 0, 25
Solve 3*g**5 + 9*g**4/2 - 12*g**3 - 39*g**2/2 + 6 = 0 for g.
-2, -1, 1/2, 2
Suppose -2*h**5 - 4*h**4 + 16*h**3 + 36*h**2 + 18*h = 0. What is h?
-3, -1, 0, 3
Solve o**4/5 - 16*o**3/5 + 78*o**2/5 - 144*o/5 + 81/5 = 0 for o.
1, 3, 9
Determine t so that -t**2/5 - 47*t/5 + 30 = 0.
-50, 3
Let -j**5/5 - 1333*j**4/5 - 443554*j**3/5 + 446222*j**2/5 + 88711*j - 444889/5 = 0. What is j?
-667, -1, 1
Let -4*i**3/7 + 108*i**2/7 + 228*i/7 + 116/7 = 0. Calculate i.
-1, 29
What is n in -24*n**4 + 1484*n**3 - 1196*n**2 - 1484*n + 1220 = 0?
-1, 5/6, 1, 61
Factor -3*d**2 - 324*d - 321.
-3*(d + 1)*(d + 107)
Let 5*i**2 + 365*i + 1050 = 0. What is i?
-70, -3
What is c in 3*c**5/8 - 21*c**4/4 - 75*c**3/8 + 219*c**2/4 + 63*c/2 - 135 = 0?
-3, -2, 2, 15
Factor -k**4 - 6*k**3 - 11*k**2 - 6*k.
-k*(k + 1)*(k + 2)*(k + 3)
Solve -4000*p**3 + 15920*p**2 + 1598*p/5 + 8/5 = 0 for p.
-1/100, 4
Factor -2*d**4/7 + 24*d**2/7 + 32*d/7.
-2*d*(d - 4)*(d + 2)**2/7
Factor -2*q**5/3 + 2*q**4/3 + 10*q**3/3 + 2*q**2.
-2*q**2*(