*2/7 - 62*s/7 - 20.
2*(s - 5)*(s + 2)*(s + 7)/7
Factor 15*m**3 - 25*m**2 + 10*m.
5*m*(m - 1)*(3*m - 2)
Determine b, given that -2*b**5/11 - 30*b**4/11 - 96*b**3/11 + 128*b**2/11 = 0.
-8, 0, 1
Solve -10*f**5 - 5*f**4 + 175*f**3 + 125*f**2 - 465*f + 180 = 0 for f.
-3, 1/2, 1, 4
Factor -2*q**5/17 - 16*q**4/17 - 48*q**3/17 - 64*q**2/17 - 32*q/17.
-2*q*(q + 2)**4/17
Factor 3*i**3/2 - 315*i**2/2 + 4212*i - 4056.
3*(i - 52)**2*(i - 1)/2
Factor 3*q**2/7 + 2139*q/7 - 4290/7.
3*(q - 2)*(q + 715)/7
Factor 5*t**3 - 12470*t**2 - 24955*t - 12480.
5*(t - 2496)*(t + 1)**2
Factor -w**2/9 - 89*w + 802/9.
-(w - 1)*(w + 802)/9
Factor -4*w**2 + 1088*w - 1084.
-4*(w - 271)*(w - 1)
Solve -5*u**3 + 90*u**2 - 480*u + 640 = 0 for u.
2, 8
Suppose 2*s**2/7 + 174*s = 0. What is s?
-609, 0
Determine y, given that -y**5/2 - 32*y**4 - 231*y**3 + 890*y**2 - 1913*y/2 + 330 = 0.
-55, -12, 1
Factor 3*r**4 - 24*r**2 + 48.
3*(r - 2)**2*(r + 2)**2
Factor 6*n**2 - 872*n + 290.
2*(n - 145)*(3*n - 1)
Let q**2 + 114*q - 472 = 0. What is q?
-118, 4
Factor -l**4/3 + 6*l**3.
-l**3*(l - 18)/3
Factor -2*t**2/11 - 2*t + 24/11.
-2*(t - 1)*(t + 12)/11
Find v, given that 3*v**5/5 - 6543*v**4/5 - 6*v**3/5 + 13086*v**2/5 + 3*v/5 - 6543/5 = 0.
-1, 1, 2181
Solve 2*c**3 - 47*c**2/2 - 207*c/2 + 90 = 0 for c.
-4, 3/4, 15
Let 3*i**4/8 - 15*i**3/4 - 93*i**2/2 - 129*i - 108 = 0. What is i?
-4, -2, 18
Solve -4*z**2 - 152*z - 288 = 0.
-36, -2
Let -5*z**4 - 95*z**3 - 80*z**2 + 180*z = 0. What is z?
-18, -2, 0, 1
Factor 12*z**4/7 + 10*z**3/7 - 68*z**2/7.
2*z**2*(z - 2)*(6*z + 17)/7
Find q, given that 4*q**2 - 144*q = 0.
0, 36
What is u in -4*u**2 + 4*u + 224 = 0?
-7, 8
Factor 70*i**2 - 344*i/5 - 6/5.
2*(i - 1)*(175*i + 3)/5
Factor -2*f**5/11 - 3352*f**4/11 + 13428*f**3/11 - 1832*f**2 + 13438*f/11 - 3360/11.
-2*(f - 1)**4*(f + 1680)/11
Factor -4*f**2 - 92*f - 408.
-4*(f + 6)*(f + 17)
Suppose 3*b**5/7 + 30*b**4/7 - 6*b**3/7 - 384*b**2/7 + 93*b - 42 = 0. Calculate b.
-7, 1, 2
Suppose n**3/3 + 19*n**2 - 39*n + 59/3 = 0. Calculate n.
-59, 1
Factor -u**2 - 207*u + 208.
-(u - 1)*(u + 208)
Factor 4*g**5 + 24*g**4 + 56*g**3 + 64*g**2 + 36*g + 8.
4*(g + 1)**4*(g + 2)
Solve -3*n**4/4 - 21*n**3/4 - 9*n**2/4 + 189*n/4 + 81 = 0.
-4, -3, 3
Suppose 5*u**3 + 580*u**2 + 3265*u - 3850 = 0. Calculate u.
-110, -7, 1
Find p such that p**4 - 476*p**3 + 1893*p**2 - 2362*p + 944 = 0.
1, 2, 472
Solve -4*c**5/3 + 134*c**4 - 9374*c**3/3 - 36404*c**2/3 - 12480*c - 10816/3 = 0.
-2, -1, -1/2, 52
Suppose -2*s**2 + 14*s - 24 = 0. Calculate s.
3, 4
Factor -r**5 + 27*r**3 - 54*r**2.
-r**2*(r - 3)**2*(r + 6)
Factor -6*h**2/5 - 114*h/5.
-6*h*(h + 19)/5
Factor b**4/6 - 17*b**3/6 - b**2/6 + 17*b/6.
b*(b - 17)*(b - 1)*(b + 1)/6
Find k such that -4*k**3/9 + 400*k**2/9 + 412*k/9 - 808/9 = 0.
-2, 1, 101
Factor 3*f**3/2 + 9*f**2 - 24*f.
3*f*(f - 2)*(f + 8)/2
Factor 5*w**3/4 - 20*w**2.
5*w**2*(w - 16)/4
Determine y so that -8*y**5/7 - 32*y**4/7 - 26*y**3/7 + 30*y**2/7 + 36*y/7 = 0.
-2, -3/2, 0, 1
Factor -68921*v**4/3 - 70602*v**3 - 5084*v**2 - 370*v/3 - 1.
-(v + 3)*(41*v + 1)**3/3
Factor -b**4 - 471*b**3 - 939*b**2 - 469*b.
-b*(b + 1)**2*(b + 469)
Solve 10*f**3 + 1495*f**2 + 2210*f - 1480 = 0.
-148, -2, 1/2
Factor -q**4/4 - 3*q**3/4 + q.
-q*(q - 1)*(q + 2)**2/4
Factor -72*h**3/5 - 2328*h**2/5 - 154*h - 64/5.
-2*(h + 32)*(6*h + 1)**2/5
Factor k**3/2 + 1245*k**2/2 + 516675*k/2 + 71473375/2.
(k + 415)**3/2
Factor -3*a**2/7 + 9474*a/7 - 7479723/7.
-3*(a - 1579)**2/7
Suppose 2*k**3/5 - 116*k**2/5 + 448*k - 2880 = 0. What is k?
18, 20
Factor -5*w**4 + 390*w**3 - 1140*w**2 + 1130*w - 375.
-5*(w - 75)*(w - 1)**3
Find r such that 2*r**2/7 + 12*r/7 + 18/7 = 0.
-3
Determine c, given that 2*c**2 + 104*c + 470 = 0.
-47, -5
What is g in -2*g**3/17 + 716*g**2/17 - 64082*g/17 = 0?
0, 179
Factor 2*o**3 + 40*o**2 - 8*o - 160.
2*(o - 2)*(o + 2)*(o + 20)
Factor p**4/2 + 39*p**3/4 + 9*p**2/2 - 19*p/4.
p*(p + 1)*(p + 19)*(2*p - 1)/4
Factor 4*d**3 + 68*d**2 + 108*d - 180.
4*(d - 1)*(d + 3)*(d + 15)
Solve -h**2/7 - 16*h/7 - 15/7 = 0.
-15, -1
Factor r**5/2 + 13*r**4/2 + 29*r**3 + 53*r**2 + 85*r/2 + 25/2.
(r + 1)**3*(r + 5)**2/2
Let -4*h**3 + 8*h**2 + 76*h - 80 = 0. What is h?
-4, 1, 5
Factor 2*p**2 + 446*p - 448.
2*(p - 1)*(p + 224)
Let 2*t**5/3 + 10*t**4 - 64*t**3/3 - 784*t**2 - 7840*t/3 - 2400 = 0. Calculate t.
-10, -2, 9
Let -2*r**2 + 14*r = 0. What is r?
0, 7
What is p in -2*p**2/7 + 1479*p/7 + 740/7 = 0?
-1/2, 740
Find m such that 4*m**2 + 1020*m - 3096 = 0.
-258, 3
Factor -3*v**3 - 114*v**2 + 249*v + 360.
-3*(v - 3)*(v + 1)*(v + 40)
Determine d so that 27*d**3 + 720*d**2 - 996*d + 336 = 0.
-28, 2/3
Find k such that 3*k**4 + 30*k**3 + 96*k**2 + 96*k = 0.
-4, -2, 0
Determine n so that -12*n**5 - 633*n**4 + 2139*n**3 - 2499*n**2 + 1173*n - 168 = 0.
-56, 1/4, 1
Factor -2*m**3 - 4*m**2 + 26*m - 20.
-2*(m - 2)*(m - 1)*(m + 5)
Factor -4*x**5/3 - 340*x**4/3 - 6697*x**3/3 + 7480*x**2 - 5808*x.
-x*(x + 44)**2*(2*x - 3)**2/3
Find w, given that 3*w**3/5 + 144*w**2/5 + 537*w/5 + 396/5 = 0.
-44, -3, -1
Factor 5*p**2/6 - 15*p/2 - 25/3.
5*(p - 10)*(p + 1)/6
Let 6*h**4/7 + 75*h**3/7 + 333*h**2/7 + 621*h/7 + 405/7 = 0. Calculate h.
-5, -3, -3/2
Determine s, given that -s**2/6 + 85*s/3 - 169/6 = 0.
1, 169
Factor s**3/5 - 12*s**2/5 - 17*s.
s*(s - 17)*(s + 5)/5
Solve -5*f**3 - 800*f**2 = 0.
-160, 0
What is j in j**5 - 31*j**4 - 32*j**3 = 0?
-1, 0, 32
Factor -4*a**2 - 100*a - 504.
-4*(a + 7)*(a + 18)
Let -3*y**4 - 2*y**3 + 27*y**2 + 18*y = 0. What is y?
-3, -2/3, 0, 3
Find t, given that -t**5/7 - 37*t**4/7 - 63*t**3 - 1755*t**2/7 - 1350*t/7 = 0.
-15, -6, -1, 0
Determine v, given that 4*v**5 - 56*v**4 - 88*v**3 + 368*v**2 + 756*v + 360 = 0.
-2, -1, 3, 15
Factor -4*b**4 + 268*b**3 + 3940*b**2 + 17300*b + 24000.
-4*(b - 80)*(b + 3)*(b + 5)**2
What is n in -3*n**5 - 9*n**4 + 9*n**3 + 33*n**2 + 18*n = 0?
-3, -1, 0, 2
Factor 2*x**4 + 20*x**3 + 46*x**2 + 28*x.
2*x*(x + 1)*(x + 2)*(x + 7)
Suppose 4*t**5/3 + 8*t**4/3 - 92*t**3/3 - 112*t**2/3 + 448*t/3 - 256/3 = 0. Calculate t.
-4, 1, 4
Find x, given that 3*x**5 + 69*x**4/7 + 18*x**3/7 - 12*x**2 - 24*x/7 = 0.
-2, -2/7, 0, 1
Let 5*y**3 + 55*y**2 + 150*y = 0. Calculate y.
-6, -5, 0
Solve c**2 + 153*c = 0.
-153, 0
Suppose -2*p**4/11 + 18*p**3/11 + 84*p**2/11 - 128*p/11 - 192/11 = 0. Calculate p.
-4, -1, 2, 12
Find l such that 3*l**2 - 516*l - 1575 = 0.
-3, 175
Factor -26*l**4 - 114*l**3 - 186*l**2 - 134*l - 36.
-2*(l + 1)**3*(13*l + 18)
Factor -h**5 + 8*h**4 + 57*h**3 + 100*h**2 + 52*h.
-h*(h - 13)*(h + 1)*(h + 2)**2
Determine v, given that -v**5/8 - 5*v**4/2 - 57*v**3/4 - 27*v**2 + 27*v/8 + 81/2 = 0.
-12, -3, 1
Factor -6*l**3/5 - 14928*l**2/5 - 9285216*l/5.
-6*l*(l + 1244)**2/5
Find w such that -43264*w**2 + 5824*w - 196 = 0.
7/104
Factor h**5/5 - 53*h**4/5 - 6*h**3/5 + 326*h**2/5 - 427*h/5 + 159/5.
(h - 53)*(h - 1)**3*(h + 3)/5
Find j, given that -5*j**5 - 20*j**4 + 145*j**3 - 140*j**2 - 140*j + 160 = 0.
-8, -1, 1, 2
Determine z so that -5*z**5 + 160*z**4 - 1545*z**3 + 2990*z**2 + 13520*z = 0.
-2, 0, 8, 13
Determine g so that 3*g**4 + 45*g**3 - 351*g**2 + 567*g = 0.
-21, 0, 3
Factor -18*r**4/7 - 258*r**3/7 - 320*r**2/7 - 104*r/7.
-2*r*(r + 13)*(3*r + 2)**2/7
Suppose -4*j**3 - 21440*j**2 - 28751028*j - 57416328 = 0. Calculate j.
-2679, -2
Solve -2*a**4 + 36*a**3 - 122*a**2 + 144*a - 56 = 0.
1, 2, 14
Find h such that 2*h**5/15 - 118*h**4/5 - 358*h**3/5 - 1078*h**2/15 - 24*h = 0.
-1, 0, 180
Find n, given that -3*n**3 - 2706*n**2 = 0.
-902, 0
Find g, given that -3*g**4 + 9*g**2 + 6*g = 0.
-1, 0, 2
Solve 2*a**3/9 + 184*a**2/9 + 538*a/9 + 356/9 = 0.
-89, -2, -1
Solve -20*f**3 + 38*f**2 + 102*f = 0.
-3/2, 0, 17/5
Solve -4*x**5 - 3840*x**4 - 1474560*x**3 - 283115520*x**2 - 27179089920*x - 1043677052928 = 0.
-192
Let -4*i**2 - 168*i - 164 = 0. Calculate i.
-41, -1
Find v such that -45*v**4 - 735*v**3 - 845*v**2 + 815*v - 150 = 0.
-15, -2, 1/3
Factor s**4/2 + 7*s**3 + 65*s**2/2 + 50*s.
s*(s + 4)*(s + 5)**2/2
Let -5*m**2 - 25*m + 2730 = 0. Calculate m.
-26, 21
Solve 5*n**5 + 70*n**4 + 230*n**3 - 220*n**2 - 875*n - 490 = 0 for n.
-7, -1, 2
Factor 2*g**3 - 60*g**2 + 546*g - 1352.
2*(g - 13)**2*(g - 4)
What is z in 2*z**5/9 - 8*z**4 - 4*z**3/9 + 16*z**2 + 2*z/9 - 8 = 0?
-1, 1, 36
Let 4*p**3 + 196*p**2 + 2300*p - 2500 = 0. What is p?
-25, 1
Let -3*a**2 - 252*a + 