12*v - 36 = 0. Calculate v.
-2, 6
Suppose 5*q**2/4 + 18*q + 7 = 0. What is q?
-14, -2/5
Factor 3204*n**2 - 3208*n + 4.
4*(n - 1)*(801*n - 1)
Factor 3*u**2/4 - u - 1.
(u - 2)*(3*u + 2)/4
Find y such that 3*y**5/2 + 6*y**4 - 123*y**3/2 - 138*y**2 + 600*y + 672 = 0.
-7, -4, -1, 4
Factor 5*a**5 - 1140*a**4 + 61470*a**3 + 400140*a**2 + 616005*a.
5*a*(a - 117)**2*(a + 3)**2
Factor -f**5/4 + f**3/2 - f/4.
-f*(f - 1)**2*(f + 1)**2/4
What is w in w**2 + 252*w + 15876 = 0?
-126
Solve -y**2 + 374*y - 34969 = 0.
187
Factor -2*w**2/5 + 92*w/5 - 176/5.
-2*(w - 44)*(w - 2)/5
Let 45*y**5/4 + 51*y**4/2 + 57*y**3/4 - 3*y**2 - 3*y = 0. What is y?
-1, -2/3, 0, 2/5
Determine j so that 3*j**3 - 13803*j**2/4 + 1985475*j/2 - 991875/4 = 0.
1/4, 575
Solve 3*d**4/5 - 84*d**3/5 + 666*d**2/5 - 1092*d/5 + 507/5 = 0 for d.
1, 13
What is d in 5*d**3/4 - 45*d**2/4 - 1215*d/2 = 0?
-18, 0, 27
Factor 5*d**4 - 2965*d**3 + 441040*d**2 - 438080*d.
5*d*(d - 296)**2*(d - 1)
Find u such that 2*u**2/7 + 34*u/7 = 0.
-17, 0
Let 2*x**3/13 - 4*x**2/13 - 96*x/13 = 0. What is x?
-6, 0, 8
What is i in i**3/5 - 31*i**2/5 - 213*i/5 - 333/5 = 0?
-3, 37
Determine m so that 2*m**3 - 36*m**2 + 174*m - 140 = 0.
1, 7, 10
Determine p so that -3*p**3 - 468*p**2 - 9936*p - 57024 = 0.
-132, -12
Let -70*d**5 + 188*d**4 + 106*d**3 - 128*d**2 + 24*d = 0. What is d?
-1, 0, 2/7, 2/5, 3
Suppose -3*b**3/5 - 59*b**2/5 + 508*b/5 + 364/5 = 0. Calculate b.
-26, -2/3, 7
Solve -y**2/2 + 85*y + 171/2 = 0 for y.
-1, 171
Factor -4*j**5/7 - 20*j**4/7 + 12*j**3 - 92*j**2/7 + 32*j/7.
-4*j*(j - 1)**3*(j + 8)/7
Find j such that 8*j**5 + 139*j**4 - 253*j**3 - 114*j**2 = 0.
-19, -3/8, 0, 2
Factor 2*q**3/5 - 28*q**2/5 - 136*q/5 - 144/5.
2*(q - 18)*(q + 2)**2/5
Let -2*i**4/5 - 84*i**3/5 + 266*i**2/5 - 36*i = 0. What is i?
-45, 0, 1, 2
Let -3*i**4 + 42*i**3 - 96*i**2 - 384*i = 0. Calculate i.
-2, 0, 8
Suppose 900*n**4 - 73440*n**3 - 29728*n**2 + 17024*n + 2624 = 0. What is n?
-2/3, -2/15, 2/5, 82
Factor -2*p**2/13 - 222*p/13 - 1260/13.
-2*(p + 6)*(p + 105)/13
Suppose 5*z**5 + 20*z**4 + 10*z**3 - 20*z**2 - 15*z = 0. What is z?
-3, -1, 0, 1
Factor -j**2/7 + 1720*j/7 - 739600/7.
-(j - 860)**2/7
Solve -185*y**2 + 360*y + 20 = 0.
-2/37, 2
Find s such that -s**2/2 + 285*s - 81225/2 = 0.
285
Suppose 4*f**4 + 48*f**3 + 144*f**2 = 0. Calculate f.
-6, 0
Solve -t**4 - 23*t**3 - 195*t**2 - 721*t - 980 = 0 for t.
-7, -5, -4
Factor 4*l**2 + 8*l - 32.
4*(l - 2)*(l + 4)
Solve p**2 - 2594*p - 2595 = 0.
-1, 2595
Solve 2*k**3/15 - 46*k**2/5 = 0 for k.
0, 69
Factor 5547*u**3/2 - 2838*u**2 + 519*u/8 - 3/8.
3*(u - 1)*(86*u - 1)**2/8
Determine w, given that -5*w**3 + 5505*w**2 - 5500*w = 0.
0, 1, 1100
Suppose 2*a**2/9 - 32*a/3 = 0. Calculate a.
0, 48
Suppose a**3/2 + a**2/2 - 95*a + 400 = 0. What is a?
-16, 5, 10
Suppose b**2/6 - 127*b/6 + 21 = 0. What is b?
1, 126
Factor 5*u**3 - 95*u**2 + 400*u + 500.
5*(u - 10)**2*(u + 1)
Factor 5*b**2 - 50*b + 125.
5*(b - 5)**2
Factor 2*b**3 - 30*b**2 + 96*b + 128.
2*(b - 8)**2*(b + 1)
Let -5*q**2 + 391*q + 316 = 0. Calculate q.
-4/5, 79
What is o in -4*o**4 + 4*o**3 = 0?
0, 1
Determine b so that 3*b**5 + 663*b**4 - 669*b**3 - 663*b**2 + 666*b = 0.
-222, -1, 0, 1
Factor -q**3/5 - 3*q**2/5 + 4*q/5.
-q*(q - 1)*(q + 4)/5
Factor 3*z**3/7 - 60*z**2/7 - 276*z/7 - 288/7.
3*(z - 24)*(z + 2)**2/7
Find i, given that 2*i**3 + 2*i**2 - 8*i - 8 = 0.
-2, -1, 2
Determine i so that -5*i**3 - 130*i**2 - 845*i = 0.
-13, 0
Factor -2*k**4/3 + 20*k**3 - 150*k**2.
-2*k**2*(k - 15)**2/3
Let -5*t**2/4 - 185*t/4 = 0. What is t?
-37, 0
Factor -5*t**2 + 635*t + 640.
-5*(t - 128)*(t + 1)
Determine v so that -v**5/4 + v**3/2 - v/4 = 0.
-1, 0, 1
Determine k, given that -3*k**2/4 - 957*k/4 - 477/2 = 0.
-318, -1
Factor -m**4 - 6*m**3 - 11*m**2 - 6*m.
-m*(m + 1)*(m + 2)*(m + 3)
Find z such that z**5/4 - 21*z**4/4 + 113*z**3/4 - 223*z**2/4 + 93*z/2 - 14 = 0.
1, 4, 14
Factor 5*u**3 + 40*u**2 + 100*u + 80.
5*(u + 2)**2*(u + 4)
Let -2*s**4 + 316*s**3 - 18674*s**2 + 489168*s - 4792608 = 0. What is s?
36, 43
What is u in u**3/2 - 255*u**2/2 + 2475*u/2 - 6125/2 = 0?
5, 245
Solve -7*s**5/4 + 2217*s**4/4 + 317*s**3/2 = 0.
-2/7, 0, 317
Factor 12*s**2/5 + 56*s/5 + 32/5.
4*(s + 4)*(3*s + 2)/5
Find s such that -5*s**5 - 31*s**4 - 164*s**3/5 + 212*s**2/5 - 48*s/5 = 0.
-4, -3, 0, 2/5
What is n in -2*n**4/7 - 4*n**3 - 96*n**2/7 + 64*n/7 + 512/7 = 0?
-8, -4, 2
Factor -2*i**2 + 223*i - 111.
-(i - 111)*(2*i - 1)
Determine i, given that -i**2 - 12*i - 36 = 0.
-6
Find b, given that -b**3/6 - 2*b**2 + 10*b - 32/3 = 0.
-16, 2
Let -a**3/11 - 5*a**2/11 = 0. Calculate a.
-5, 0
Factor u**3 - 51*u**2 - 52*u.
u*(u - 52)*(u + 1)
Factor 9*t**4 - 123*t**3 + 277*t**2 - 145*t + 22.
(t - 11)*(t - 2)*(3*t - 1)**2
Factor 4*h**4 - 54*h**3 + 166*h**2 + 126*h - 98.
2*(h - 7)**2*(h + 1)*(2*h - 1)
Determine h, given that 3*h**3 + 618*h**2 = 0.
-206, 0
Factor 2*i**2 - 36*i + 154.
2*(i - 11)*(i - 7)
Factor -2*a**4/11 + 14*a**3/11 - 36*a**2/11 + 40*a/11 - 16/11.
-2*(a - 2)**3*(a - 1)/11
Factor -3*w**3 - 51*w**2.
-3*w**2*(w + 17)
Factor -93*b**3 + 1110*b**2 - 3276*b - 216.
-3*(b - 6)**2*(31*b + 2)
Solve -4*g**4 - 76*g**3 + 4*g**2 + 76*g = 0 for g.
-19, -1, 0, 1
Factor a**3/3 - 46*a**2/3 + 85*a/3 + 44.
(a - 44)*(a - 3)*(a + 1)/3
Factor q**2/4 - 317*q/2 + 633/4.
(q - 633)*(q - 1)/4
Factor 4*l**4 - 8*l**3 + 4*l**2.
4*l**2*(l - 1)**2
Solve 2*z**3/11 - 10*z**2/11 + 16*z/11 - 8/11 = 0 for z.
1, 2
Let 4*c**4 + 248*c**3 + 5428*c**2 + 49104*c + 156816 = 0. Calculate c.
-22, -9
Let u**3 - 26*u**2 = 0. What is u?
0, 26
Factor -m**3/3 + 2*m**2 - 32/3.
-(m - 4)**2*(m + 2)/3
Factor 2*c**3/3 + 110*c**2/3 + 104*c/3 - 72.
2*(c - 1)*(c + 2)*(c + 54)/3
Factor 15*s**3 + 66*s**2 - 51*s - 30.
3*(s - 1)*(s + 5)*(5*s + 2)
Suppose 4*g**2/9 - 856*g/9 + 45796/9 = 0. What is g?
107
Let 3*k**2/2 - 3759*k/2 = 0. What is k?
0, 1253
Find y, given that -3*y**3/4 + 294*y**2 - 1167*y/4 - 1173/2 = 0.
-1, 2, 391
Factor p**4 + 5*p**3 + 7*p**2 + 3*p.
p*(p + 1)**2*(p + 3)
Find r such that 22*r**4/13 + 2*r**3 - 18*r**2/13 - 2*r - 4/13 = 0.
-1, -2/11, 1
Solve 28*f**4 + 323*f**3 - 946*f**2 + 292*f + 168 = 0 for f.
-14, -2/7, 3/4, 2
Determine r so that -r**2 + 630*r = 0.
0, 630
Factor -93*j**2/8 - 375*j/8 - 3/2.
-3*(j + 4)*(31*j + 1)/8
Factor 4*p**5/7 - 52*p**4/7 + 204*p**3/7 - 36*p**2.
4*p**2*(p - 7)*(p - 3)**2/7
Factor -5*v**5 - 5*v**4 + 70*v**3 + 140*v**2 - 40*v - 160.
-5*(v - 4)*(v - 1)*(v + 2)**3
Find g, given that -4*g**2 + 7640*g - 3648100 = 0.
955
Factor -3*j**3/5 - 9*j**2/5 + 12*j/5.
-3*j*(j - 1)*(j + 4)/5
Factor -t**3/2 - 15*t**2 + 2*t + 60.
-(t - 2)*(t + 2)*(t + 30)/2
Determine i so that 3*i**2 - 372*i + 11532 = 0.
62
Factor 3*r**3 + 318*r**2 - 3081*r + 2760.
3*(r - 8)*(r - 1)*(r + 115)
What is t in t**2/6 - 509*t/3 + 339/2 = 0?
1, 1017
Factor -3*x**4/5 + 942*x**3/5 - 74883*x**2/5 + 146952*x/5 - 73008/5.
-3*(x - 156)**2*(x - 1)**2/5
Let 3*n**4/5 + 21*n**3/5 - 39*n**2/5 - 129*n/5 - 72/5 = 0. What is n?
-8, -1, 3
Determine q, given that 4*q**2 + 124*q - 3264 = 0.
-48, 17
Find m such that 4*m**2 - 1284*m = 0.
0, 321
What is p in -3*p**3/4 + 9*p**2/4 + 3*p - 9 = 0?
-2, 2, 3
Factor -d**2/12 + 81*d/2 - 19683/4.
-(d - 243)**2/12
Factor f**5/6 + 2*f**4 + 22*f**3/3 + 3*f**2 - 63*f/2 - 45.
(f - 2)*(f + 3)**3*(f + 5)/6
Factor 2*g**2 + 924*g + 106722.
2*(g + 231)**2
Solve 125*z**2 - 1950*z + 7605 = 0 for z.
39/5
Let -q**3/7 - 104*q**2/7 + 655*q/7 - 550/7 = 0. Calculate q.
-110, 1, 5
Determine j, given that -4*j**2 + 812*j - 3960 = 0.
5, 198
Find x, given that -3*x**5 - 45*x**4 + 3*x**3 + 45*x**2 = 0.
-15, -1, 0, 1
Factor n**4/2 - 3*n**3/2 - 9*n**2/2 + 23*n/2 - 6.
(n - 4)*(n - 1)**2*(n + 3)/2
Let -4*h**4 + 32*h**3 + 44*h**2 - 72*h = 0. What is h?
-2, 0, 1, 9
Factor -3*l**4 + 303*l**3 - 9765*l**2 + 84525*l + 514500.
-3*(l - 35)**3*(l + 4)
Suppose -3*c**5 - 24*c**4 + 126*c**3 + 1176*c**2 + 1029*c = 0. What is c?
-7, -1, 0, 7
Factor -2*d**2 + 8*d.
-2*d*(d - 4)
Factor -55*c**2 - 285*c - 50.
-5*(c + 5)*(11*c + 2)
Factor j**4/5 + 46*j**3/5 + 573*j**2/5 + 1012*j/5 + 484/5.
(j + 1)**2*(j + 22)**2/5
Find d such that -2*d**2 - 94*d + 300 = 0.
-50, 3
Solve -5*j**4/4 - 8*j**3 - 57*j**2/4 - 19*j/2 - 2 = 0 for j.
-4, -1, -2/5
Determine t, given that t**2/6 - 5*t/6 - 39 = 0.
-13, 18
Suppose -p**5 + 2*p**4/3 + 11*p**3 - 8*p**2/3 - 28*p = 0. What is