)**2*(g - 1)**3/4
Factor -r**4 - 11*r**3 - 33*r**2 - 5*r + 50.
-(r - 1)*(r + 2)*(r + 5)**2
Factor 4*u**2/5 - 27496*u/5 + 47251876/5.
4*(u - 3437)**2/5
Determine b so that -4*b**5 - 18*b**4 - 4*b**3 + 66*b**2 + 80*b + 24 = 0.
-3, -2, -1, -1/2, 2
Let 2*w**4/7 + 24*w**3/7 + 106*w**2/7 + 204*w/7 + 144/7 = 0. What is w?
-4, -3, -2
Factor 14*z**2/5 + 198*z/5 + 28/5.
2*(z + 14)*(7*z + 1)/5
Determine d so that d**4 + 9*d**3 + 29*d**2 + 39*d + 18 = 0.
-3, -2, -1
Let -s**2/2 - 333*s/2 + 335 = 0. What is s?
-335, 2
Determine i so that i**5/2 - i**4/2 - 2*i**3 + 2*i**2 = 0.
-2, 0, 1, 2
Factor 4*a**3/3 + 44*a**2/3 - 104*a/3.
4*a*(a - 2)*(a + 13)/3
Factor 14*a**2/3 + 1592*a/3 - 152.
2*(a + 114)*(7*a - 2)/3
Factor -4*d**3/7 + 23*d**2/7 + 6*d/7.
-d*(d - 6)*(4*d + 1)/7
Suppose 3*i**2 - 276*i + 2460 = 0. Calculate i.
10, 82
Factor -10*i**2 - 6664*i - 2664.
-2*(i + 666)*(5*i + 2)
Let 3*n**4 - 240*n**3 - 738*n**2 - 744*n - 249 = 0. What is n?
-1, 83
Factor -30*s**2 - 5*s.
-5*s*(6*s + 1)
Suppose 2*m**2/7 + 230*m/7 + 228/7 = 0. What is m?
-114, -1
Factor 3*t**3/2 + 98*t**2 + 3135*t/2 - 1089.
(t + 33)**2*(3*t - 2)/2
Solve 9*k**5/4 - 33*k**4/2 + 39*k**3 - 63*k**2/2 + 27*k/4 = 0 for k.
0, 1/3, 1, 3
Factor o**2/2 + 71*o/2.
o*(o + 71)/2
Solve -5*p**4 - 20*p**3 - 10*p**2 + 20*p + 15 = 0 for p.
-3, -1, 1
Factor 8*y**2/3 - 59*y + 22/3.
(y - 22)*(8*y - 1)/3
Factor 2*d**5/9 - 8*d**4/3 + 14*d**3/3 - 20*d**2/9.
2*d**2*(d - 10)*(d - 1)**2/9
Determine z so that 9*z**5/5 - 87*z**4/5 + 42*z**3/5 + 114*z**2/5 - 51*z/5 - 27/5 = 0.
-1, -1/3, 1, 9
Solve -4*f**4 + 176*f**3 + 660*f**2 - 4624*f + 5264 = 0 for f.
-7, 2, 47
Suppose -3*g**5 + 18*g**4 + 30*g**3 - 48*g**2 - 99*g - 42 = 0. What is g?
-1, 2, 7
Suppose r**3 - 5*r**2 = 0. Calculate r.
0, 5
Determine y, given that 160*y**4 + 272*y**3 - 2862*y**2/5 + 756*y/5 - 54/5 = 0.
-3, 3/20, 1
Determine a so that 7*a**3/5 - 26*a**2/5 + 13*a/5 + 6/5 = 0.
-2/7, 1, 3
Factor 5*g**4 - 410*g**3 + 1960*g**2 - 2710*g + 1155.
5*(g - 77)*(g - 3)*(g - 1)**2
Factor 2*r**3 + 92*r**2 + 90*r.
2*r*(r + 1)*(r + 45)
Solve -2*j**2/3 - 460*j/3 - 304 = 0.
-228, -2
Factor 2*q**3/7 + 4*q**2.
2*q**2*(q + 14)/7
Factor -3*w**2/5 + 6486*w/5 - 3505683/5.
-3*(w - 1081)**2/5
Find v such that 2*v**3 + 78*v**2 + 720*v - 800 = 0.
-20, 1
Determine n, given that 12*n**3 - 608*n**2 + 7280*n + 10816 = 0.
-4/3, 26
Suppose 5*c**2 - 70*c + 165 = 0. Calculate c.
3, 11
Factor -2*y**2/21 + 76*y/21 - 48/7.
-2*(y - 36)*(y - 2)/21
Solve -p**4/7 - 123*p**3/7 - 3720*p**2/7 + 3844*p/7 = 0.
-62, 0, 1
Let 5*f**4 + 290*f**3 + 5160*f**2 + 26750*f + 21875 = 0. Calculate f.
-25, -7, -1
Determine j, given that -2*j**5 - 24*j**4 - 76*j**3 - 104*j**2 - 66*j - 16 = 0.
-8, -1
Let k**3/2 - 27*k**2 + 102*k - 100 = 0. What is k?
2, 50
Factor -3*q**4 + 36*q**3 + 9*q**2 - 114*q + 72.
-3*(q - 12)*(q - 1)**2*(q + 2)
Find g, given that g**2/2 - 202*g + 20402 = 0.
202
Find r such that 4*r**3 - 20*r**2 - 176*r - 240 = 0.
-3, -2, 10
Find t such that 5*t**5/2 + 7*t**4/2 - 3*t**3/2 - 7*t**2/2 - t = 0.
-1, -2/5, 0, 1
Suppose -3*v**4/7 + 57*v**3/7 - 171*v**2/7 - 957*v/7 - 726/7 = 0. Calculate v.
-2, -1, 11
Let -v**2/2 - 705*v - 497025/2 = 0. Calculate v.
-705
Solve -5*a**5 + 150*a**4 - 140*a**3 - 150*a**2 + 145*a = 0.
-1, 0, 1, 29
Factor -5*r**4 - 10*r**3 + 55*r**2 + 60*r.
-5*r*(r - 3)*(r + 1)*(r + 4)
Factor -p**5 + 6*p**4 - 12*p**3 + 10*p**2 - 3*p.
-p*(p - 3)*(p - 1)**3
Factor -3*r**4 - 21*r**3 - 42*r**2 - 24*r.
-3*r*(r + 1)*(r + 2)*(r + 4)
Find b such that -5*b**3 + 5*b**2 + 10*b = 0.
-1, 0, 2
Suppose 5*a**3 + 275*a**2 + 3335*a - 12615 = 0. What is a?
-29, 3
Find h, given that h**5/4 - h**4/2 - 11*h**3/4 + 2*h**2 + 5*h - 4 = 0.
-2, 1, 4
Let 15*o**2 - 108*o + 93 = 0. What is o?
1, 31/5
Factor -b**2 + 6*b + 7.
-(b - 7)*(b + 1)
Factor -c**3 + 12*c**2 + 19*c - 78.
-(c - 13)*(c - 2)*(c + 3)
Let 2*p**3/3 - 194*p**2 + 1520*p - 9056/3 = 0. Calculate p.
4, 283
Factor -2*v**3/5 + 358*v**2/5.
-2*v**2*(v - 179)/5
What is p in -p**5/6 - 7*p**4/2 - 22*p**3 - 152*p**2/3 - 32*p = 0?
-12, -4, -1, 0
Find q such that -3*q**4/7 + 29*q**3/7 - 9*q**2 - 45*q/7 + 50/7 = 0.
-1, 2/3, 5
Factor -m**2/5 - 199*m/5.
-m*(m + 199)/5
Solve 5*n**5 - 235*n**4 + 870*n**3 - 410*n**2 - 875*n + 645 = 0 for n.
-1, 1, 3, 43
Determine g so that g**5/2 - 28*g**4 + 1081*g**3/2 - 3915*g**2 + 6318*g - 2916 = 0.
1, 18
Suppose -13*v**4 + 232*v**3 - 1212*v**2 + 1472*v + 256 = 0. What is v?
-2/13, 2, 8
Solve 5*t**3/6 + 629*t**2/6 + 6573*t/2 - 1323/2 = 0 for t.
-63, 1/5
Determine w, given that 3*w**3 - 9*w**2 - 30*w + 72 = 0.
-3, 2, 4
Determine b, given that -2*b**2 + 20*b + 22 = 0.
-1, 11
Factor 3*p**2 + 2040*p + 2037.
3*(p + 1)*(p + 679)
Suppose 12*x**4 + 34*x**3 - 16*x**2 - 30*x = 0. What is x?
-3, -5/6, 0, 1
Find l such that 2*l**3/7 - 12*l**2/7 + 6*l/7 + 20/7 = 0.
-1, 2, 5
Factor y**2/2 + 3162*y + 4999122.
(y + 3162)**2/2
Let -3*y**4/4 + 81*y**3/4 - 18*y**2 - 39*y = 0. What is y?
-1, 0, 2, 26
Find v such that -5*v**4/2 + 35*v**3/2 + 70*v**2 + 50*v = 0.
-2, -1, 0, 10
Factor -20*s**2 + 64*s - 44.
-4*(s - 1)*(5*s - 11)
Determine a so that 2*a**3/3 - 42*a + 108 = 0.
-9, 3, 6
Factor 2*o**2/11 + 160*o/11 - 850/11.
2*(o - 5)*(o + 85)/11
Factor 3*b**5/2 - 24*b**4 + 291*b**3/2 - 417*b**2 + 570*b - 300.
3*(b - 5)**2*(b - 2)**3/2
Factor 2*v**4/19 + 444*v**3/19 + 24642*v**2/19.
2*v**2*(v + 111)**2/19
Factor -4*v**4 - 16*v**3 + 24*v**2 + 144*v + 108.
-4*(v - 3)*(v + 1)*(v + 3)**2
Solve -2*x**5/19 + 18*x**4/19 + 4*x**3/19 - 336*x**2/19 + 448*x/19 + 768/19 = 0.
-4, -1, 4, 6
Factor -r**5/6 - r**4/3 + r**3 + 10*r**2/3 + 19*r/6 + 1.
-(r - 3)*(r + 1)**3*(r + 2)/6
Factor o**2/10 - 541*o/5 + 292681/10.
(o - 541)**2/10
Determine u so that 5*u**2 - 155*u - 160 = 0.
-1, 32
Factor -2*i**4/5 + 112*i**3 - 11760*i**2 + 548800*i - 9604000.
-2*(i - 70)**4/5
Factor -2*i**4/5 + 76*i**3/5 - 128*i**2 - 320*i.
-2*i*(i - 20)**2*(i + 2)/5
Factor -3*r**2 - 25680*r - 54955200.
-3*(r + 4280)**2
Solve 4*z**2/9 + 424*z/9 + 308 = 0.
-99, -7
Solve f**3/4 + 15*f**2/4 + 18*f + 27 = 0.
-6, -3
Find h such that -3*h**3 + 129*h**2 - 1449*h + 1323 = 0.
1, 21
Factor -5*c**2 + 10*c + 15.
-5*(c - 3)*(c + 1)
Let -w**2/4 + 1 = 0. What is w?
-2, 2
Find v, given that 5368489*v**4/10 - 303527*v**3 + 419757*v**2/10 + 262*v + 2/5 = 0.
-1/331, 2/7
Determine j so that -5*j**3 - 35*j**2 + 5*j + 35 = 0.
-7, -1, 1
Solve -36*i**4 + 96*i**3 + 2216*i**2 - 3040*i - 36100 = 0.
-5, 19/3
Factor -z**5/8 - z**4/2 + 11*z**3/8 - 3*z**2/4.
-z**2*(z - 1)**2*(z + 6)/8
Find n such that 10*n**3 - 545*n**2 + 265*n + 270 = 0.
-1/2, 1, 54
What is u in 22188*u**3 - 29928*u**2 + 8415*u - 675 = 0?
15/86, 1
Let 2*m**5/7 + 10*m**4/7 + 2*m**3 + 6*m**2/7 = 0. Calculate m.
-3, -1, 0
Factor -2*g**2 + 8*g + 90.
-2*(g - 9)*(g + 5)
Suppose 4*w**3 - 8*w**2 - 52*w - 40 = 0. Calculate w.
-2, -1, 5
Suppose 5*f**3 - 5130*f**2 + 1315845*f = 0. What is f?
0, 513
Let 26*m**2 + 4832*m - 744 = 0. Calculate m.
-186, 2/13
Factor -p**3/2 - 3921*p**2/2 - 5124747*p/2 - 2232681443/2.
-(p + 1307)**3/2
Suppose c**2/3 - 217*c - 654 = 0. Calculate c.
-3, 654
Find q, given that -2*q**2/13 + 1148*q/13 + 1150/13 = 0.
-1, 575
Factor 4*v**4 + 612*v**3 + 24308*v**2 + 68700*v + 45000.
4*(v + 1)*(v + 2)*(v + 75)**2
Determine i so that -1006*i**2/5 + 3014*i/5 + 12/5 = 0.
-2/503, 3
Suppose -2*i**5 + 126*i**4/5 - 542*i**3/5 + 1002*i**2/5 - 792*i/5 + 216/5 = 0. What is i?
3/5, 1, 2, 3, 6
Solve 4*g**2 + 2376*g + 352836 = 0 for g.
-297
Factor 2*x**3/5 + 32*x**2/5 + 18*x - 324/5.
2*(x - 2)*(x + 9)**2/5
Find w, given that -3*w**2/4 - 21*w/2 = 0.
-14, 0
Factor -4*k**3/5 - 4*k**2/5 + 16*k.
-4*k*(k - 4)*(k + 5)/5
Let 5*c**3 + 1300*c**2 + 3865*c + 2570 = 0. Calculate c.
-257, -2, -1
Factor n**3/3 + 52*n**2/3 + 17*n.
n*(n + 1)*(n + 51)/3
Factor 5*h**2 - 1215*h + 1210.
5*(h - 242)*(h - 1)
Factor -50*n**2 + 705*n - 1260.
-5*(n - 12)*(10*n - 21)
Factor 2*w**3/23 - 82*w**2/23 + 158*w/23 - 78/23.
2*(w - 39)*(w - 1)**2/23
Determine x, given that -x**2 - 32*x - 87 = 0.
-29, -3
Factor n**2 - 128*n - 665.
(n - 133)*(n + 5)
Factor -3*o**4/4 + 6*o**3 - 51*o**2/4 + 15*o/2.
-3*o*(o - 5)*(o - 2)*(o - 1)/4
Factor -2*x**3 + 27*x**2.
-x**2*(2*x - 27)
Factor -r**2/5 - 14*r - 136/5.
-(r + 2)*(r + 68)/5
Let -3*y**4 + 666*y**3 - 36291*y**2 - 74592*y - 37632 = 0. Calculate y.
-1, 112
What is h in -4*h**3 - 92*h**