mine q, given that 2*q**2/11 - 38*q/11 + 96/11 = 0.
3, 16
Factor -4*w**4 + 44*w**3 - 60*w**2 - 700*w + 2000.
-4*(w - 5)**3*(w + 4)
Factor 5*l**4 + 55*l**3 - 440*l**2 - 400*l + 3840.
5*(l - 4)**2*(l + 3)*(l + 16)
Factor 5*r**2/3 + 35*r - 230/3.
5*(r - 2)*(r + 23)/3
Factor 4*f**3 - 74*f**2/9 - 104*f/9 + 2/3.
2*(f - 3)*(f + 1)*(18*f - 1)/9
Factor -3*a**4 + 18*a**3 + 93*a**2 - 468*a - 540.
-3*(a - 6)**2*(a + 1)*(a + 5)
Let -2*q**2/9 - 44*q/9 + 46/9 = 0. Calculate q.
-23, 1
Suppose -h**2/8 + 43*h/4 - 405/8 = 0. Calculate h.
5, 81
Factor -4*f**2/5 - 77936*f/5 - 379626256/5.
-4*(f + 9742)**2/5
Factor -3*c**2/4 - 2625*c - 2296875.
-3*(c + 1750)**2/4
Factor -g**5 - 8*g**4 + 59*g**3 - 82*g**2 - 44*g + 104.
-(g - 2)**3*(g + 1)*(g + 13)
Factor i**2 - 200*i + 784.
(i - 196)*(i - 4)
Factor x**4/2 - 3*x**2/2 - x.
x*(x - 2)*(x + 1)**2/2
Solve -q**2/4 - 23*q - 529 = 0 for q.
-46
Factor -t**2/7 - 12*t/7 + 45/7.
-(t - 3)*(t + 15)/7
Factor g**5 - 12*g**4 + 22*g**3 + 84*g**2 + 49*g.
g*(g - 7)**2*(g + 1)**2
What is g in -2*g**2/9 - 110*g/3 + 332/9 = 0?
-166, 1
Factor -2*g**3/5 + 1412*g**2/5 - 2818*g/5 + 1408/5.
-2*(g - 704)*(g - 1)**2/5
Determine c, given that -9*c**5 + 69*c**4 - 174*c**3 + 150*c**2 - 9*c - 27 = 0.
-1/3, 1, 3
Factor -3*w**4 - 57*w**3 + 267*w**2 - 207*w.
-3*w*(w - 3)*(w - 1)*(w + 23)
Suppose -20*d**2/3 - 218*d/3 + 22/3 = 0. What is d?
-11, 1/10
Let 4*q**4 - 180*q**3 - 788*q**2 + 180*q + 784 = 0. What is q?
-4, -1, 1, 49
Determine z, given that -z**3/4 - 7*z**2/2 + z/4 + 7/2 = 0.
-14, -1, 1
Find f, given that f**4/2 + 8*f**3 - f**2 - 264*f + 1089/2 = 0.
-11, 3
Factor 5*m**3 + 50*m**2 + 155*m + 150.
5*(m + 2)*(m + 3)*(m + 5)
Factor -5*f**2 - 20*f - 20.
-5*(f + 2)**2
Factor -15*y**2/2 + 1701*y/2 - 1176.
-3*(y - 112)*(5*y - 7)/2
Factor 3*u**4 + 57*u**3 + 357*u**2 + 735*u.
3*u*(u + 5)*(u + 7)**2
Factor -z**3/9 - 41*z**2/9 - 133*z/3 + 49.
-(z - 1)*(z + 21)**2/9
Factor 2*y**2/5 + 894*y/5 + 2664/5.
2*(y + 3)*(y + 444)/5
Factor 100*d**3 + 26360*d**2 - 10556*d + 1056.
4*(d + 264)*(5*d - 1)**2
Find g such that -g**2/4 + 10*g - 100 = 0.
20
Determine l, given that 3*l**4 - 330*l**3 - 345*l**2 + 1320*l + 1332 = 0.
-2, -1, 2, 111
Factor 15*m**2 - 145*m - 160.
5*(m + 1)*(3*m - 32)
Let 3*r**2/7 + 48*r/7 - 45 = 0. Calculate r.
-21, 5
Suppose 3*g**4 - 51*g**3 - 894*g**2 - 840*g = 0. What is g?
-10, -1, 0, 28
Factor -2*z**3 + 7188*z**2 - 8611224*z + 3438748784.
-2*(z - 1198)**3
Suppose 2*r**5/17 - 8*r**4/17 - 20*r**3/17 + 80*r**2/17 + 18*r/17 - 72/17 = 0. Calculate r.
-3, -1, 1, 3, 4
Solve -y**3/5 + 21*y**2/5 - 83*y/5 - 21 = 0 for y.
-1, 7, 15
Let -5*u**2 + 1185*u - 5800 = 0. What is u?
5, 232
What is n in 2*n**5/11 + 58*n**4/11 + 18*n**3 - 58*n**2/11 - 200*n/11 = 0?
-25, -4, -1, 0, 1
Factor -a**5/2 - 4*a**4 - 15*a**3/2.
-a**3*(a + 3)*(a + 5)/2
Factor 2*w**3/9 - 2*w/3 + 4/9.
2*(w - 1)**2*(w + 2)/9
Factor -n**2/5 - 21*n - 100.
-(n + 5)*(n + 100)/5
Solve 2*x**4 - 118*x**3 + 654*x**2 - 962*x + 424 = 0 for x.
1, 4, 53
Suppose 2*r**5/17 + 16*r**4/17 - 20*r**3/17 - 16*r**2/17 + 18*r/17 = 0. What is r?
-9, -1, 0, 1
Factor w**3 + 7*w**2 + 12*w.
w*(w + 3)*(w + 4)
Solve -c**3/4 + 8*c**2 - 325*c/4 + 507/2 = 0 for c.
6, 13
Find j such that -j**5/3 + 17*j**4/3 - 34*j**3 + 284*j**2/3 - 376*j/3 + 64 = 0.
2, 3, 8
Factor -2*k**3/13 + 6714*k**2/13 - 7512966*k/13 + 2802336318/13.
-2*(k - 1119)**3/13
Determine k, given that k**4/6 - 16*k**3/3 + 143*k**2/6 - 110*k/3 + 18 = 0.
1, 2, 27
Factor j**3/8 + 35*j**2/8 - 73*j/8 + 37/8.
(j - 1)**2*(j + 37)/8
Suppose -3*s**4/2 + 3*s**3/2 + 3*s**2 = 0. What is s?
-1, 0, 2
Factor 3*o**5/2 + 5*o**4/2 - 7*o**3/2 - 21*o**2/2 - 8*o - 2.
(o - 2)*(o + 1)**3*(3*o + 2)/2
Suppose -w**4/2 + 143*w**3/2 - 2520*w**2 - 2592*w = 0. Calculate w.
-1, 0, 72
What is d in 100*d**5/7 + 620*d**4/7 + 1321*d**3/7 + 1046*d**2/7 + 172*d/7 + 8/7 = 0?
-2, -1/10
What is w in 2*w**5 + 80*w**4 + 1280*w**3 + 10240*w**2 + 40960*w + 65536 = 0?
-8
Factor 2*f**3 + 26*f**2 + 100*f + 112.
2*(f + 2)*(f + 4)*(f + 7)
Factor -7*u**2 + 1308*u + 187.
-(u - 187)*(7*u + 1)
Suppose -25*d**4/8 - 53*d**3/8 + 19*d**2/8 + 53*d/8 + 3/4 = 0. What is d?
-2, -1, -3/25, 1
Find u such that -3*u**2 + 783*u - 780 = 0.
1, 260
What is r in -6*r**3/11 - 168*r**2/11 + 2058*r/11 + 2220/11 = 0?
-37, -1, 10
Let 2*w**4/7 + 8*w**3/7 + 10*w**2/7 + 4*w/7 = 0. What is w?
-2, -1, 0
Factor 2*p**2 - 112*p - 114.
2*(p - 57)*(p + 1)
Factor 3*f**2 + 178*f + 7921/3.
(3*f + 89)**2/3
Solve -i**3/3 - 41*i**2/3 + 298*i/3 + 752/3 = 0.
-47, -2, 8
Factor 2*m**3 - 12*m**2 + 18*m.
2*m*(m - 3)**2
Factor l**3/4 + 55*l**2/4 + 64*l + 75.
(l + 2)*(l + 3)*(l + 50)/4
Factor -3*b**3/4 - 18*b**2 - 63*b/4 + 69/2.
-3*(b - 1)*(b + 2)*(b + 23)/4
Factor 2*g**2 + 4428*g + 2450898.
2*(g + 1107)**2
Determine n, given that 2*n**3 - 24*n**2 - 120*n - 128 = 0.
-2, 16
Find z such that 81*z**3/4 + 5391*z**2/2 - 2408*z + 536 = 0.
-134, 4/9
Factor 60*m**3 + 104*m**2 - 624*m + 352.
4*(m - 2)*(3*m - 2)*(5*m + 22)
Suppose -c**5 + 4*c**4 - c**3 - 14*c**2 + 20*c - 8 = 0. What is c?
-2, 1, 2
What is n in -2*n**2/9 - 1930*n/9 - 1928/9 = 0?
-964, -1
Solve -3*k**3/2 - 51*k**2/2 + 123*k/2 + 171/2 = 0.
-19, -1, 3
Factor -30*c**2 - 275*c - 130.
-5*(2*c + 1)*(3*c + 26)
Suppose 13*p**3/6 + 41*p**2/6 - 23*p/3 - 4/3 = 0. What is p?
-4, -2/13, 1
Factor -y**2/4 + 9*y/2 - 20.
-(y - 10)*(y - 8)/4
Solve 2*w**3/19 + 1196*w**2/19 - 1198*w/19 = 0.
-599, 0, 1
Factor -h**2 + 16.
-(h - 4)*(h + 4)
Suppose 229*i**5/2 - 688*i**4 + 1380*i**3 - 928*i**2 + 8*i = 0. Calculate i.
0, 2/229, 2
Determine t, given that 2*t**5 + 4*t**4 - 420*t**3 - 424*t**2 + 418*t + 420 = 0.
-15, -1, 1, 14
Find x, given that x**4/3 + 4*x**3/3 - 16*x/3 - 16/3 = 0.
-2, 2
Factor -3*u**2 + 8928*u - 6642432.
-3*(u - 1488)**2
Find a, given that 3*a**3/4 + 3*a**2 - 75*a/4 - 21 = 0.
-7, -1, 4
Factor o**2/3 - 5*o/3.
o*(o - 5)/3
Determine j so that 4*j**2 + 3164*j - 3168 = 0.
-792, 1
Factor -4*z**3 - 76*z**2 - 320*z + 400.
-4*(z - 1)*(z + 10)**2
Suppose -2*c**4 + 198*c**3 - 6630*c**2 + 93058*c - 471648 = 0. What is c?
17, 48
Factor -s**4/5 + 5*s**3 + 54*s**2/5.
-s**2*(s - 27)*(s + 2)/5
Factor 5*n**5 + 10*n**4 - 5*n**3 - 10*n**2.
5*n**2*(n - 1)*(n + 1)*(n + 2)
What is p in 2*p**2 + 150*p + 568 = 0?
-71, -4
Solve 12*j**5 + 171*j**4 + 762*j**3 + 1164*j**2 + 666*j + 105 = 0.
-7, -5, -1, -1/4
Suppose p**5/3 - 22*p**4/3 - 73*p**3/3 - 50*p**2/3 = 0. Calculate p.
-2, -1, 0, 25
Factor -3*c**5 - 6*c**4 - 3*c**3.
-3*c**3*(c + 1)**2
Factor -2*w**3/3 - 10*w**2/3 + 2*w/3 + 10/3.
-2*(w - 1)*(w + 1)*(w + 5)/3
Factor s**4/4 + 7*s**3/4 - 17*s**2/4 + 9*s/4.
s*(s - 1)**2*(s + 9)/4
Let 2*x**3/5 + 46*x**2/5 + 4*x/5 - 176 = 0. What is x?
-22, -5, 4
Let 11*d**4/4 - 149*d**3 + 8127*d**2/4 - 729*d/2 = 0. What is d?
0, 2/11, 27
Factor -3*i**2 + 9*i + 12.
-3*(i - 4)*(i + 1)
Suppose -3*b**3/2 - 102*b**2 - 186*b + 792 = 0. Calculate b.
-66, -4, 2
Solve 15*u**4/4 + 311*u**3/4 - 32*u**2 - 235*u - 84 = 0 for u.
-21, -4/3, -2/5, 2
Find g such that -4418*g**4/11 + 3478*g**3/11 + 9726*g**2/11 + 1930*g/11 + 100/11 = 0.
-1, -5/47, 2
Factor 4*m**2 + 544*m + 1596.
4*(m + 3)*(m + 133)
Factor 2*u**2 - 6196*u.
2*u*(u - 3098)
Find i such that -2*i**5 - 142*i**4 - 3476*i**3 - 34908*i**2 - 148554*i - 214326 = 0.
-27, -7, -3
Factor -q**2/7 - 12*q/7 - 27/7.
-(q + 3)*(q + 9)/7
Determine x, given that 5*x**2 - 7400*x + 2738000 = 0.
740
Factor -2*n**2 + 490*n - 488.
-2*(n - 244)*(n - 1)
Solve 2*m**2/11 + 588*m/11 + 586/11 = 0.
-293, -1
Find g such that 3*g**2/2 + 1095*g - 11025/2 = 0.
-735, 5
Solve 30*j**4 - 415*j**3 - 165*j**2 + 1260*j + 980 = 0.
-7/6, -1, 2, 14
What is c in 4*c**3/5 - 4*c**2/5 - 356*c/5 - 924/5 = 0?
-7, -3, 11
Suppose -r**2 + 23*r + 24 = 0. What is r?
-1, 24
Solve z**2/2 + 738*z + 272322 = 0 for z.
-738
Factor q**2/4 - 85*q/4 + 100.
(q - 80)*(q - 5)/4
Find r, given that 72*r**5 - 358*r**4 + 652*r**3 - 542*r**2 + 200*r - 24 = 0.
2/9, 3/4, 1, 2
Solve -8*s**4/3 + 186*s**3 + 3140*s**2/3 + 250*s = 0.
-5, -1/4, 0, 75
Factor 3*y**5/4 + 9*y**4/2 - 18*y**3 + 39*y**2/2 - 27*y/4.
3*y*(y - 1)**3*(y + 9)/4
Factor 4*v**3 - 28*v**2 - 1044*v - 2772.
4*(v - 21)*(v + 3)*(v + 11)
Solve -x**5 - 64*x**4 - 510*x**3 - 800*x**2 + 1375*x = 0 for x.
-55, -5, 0, 1
Solve k**3 - 4*k**2 + 3*k = 0 for k.
0, 1, 3
Solve -2*p**3/13 + 14*p**2/13 = 0.
0, 7
Solve z**2/3 + 7*z/3 - 26 = 0 f