w**2 - 1075200*w + 720000 = 0. Calculate w.
-300, 1, 2
Let -y**2 + 18*y + 40 = 0. Calculate y.
-2, 20
Let 4515625*g**3 + 4511375*g**2 - 4249*g + 1 = 0. Calculate g.
-1, 1/2125
Factor 5*d**5 - 5*d**4 - 25*d**3 - 15*d**2.
5*d**2*(d - 3)*(d + 1)**2
Solve o**4 + 256*o**3 + 16384*o**2 = 0.
-128, 0
Let -z**4/2 - 9*z**3 - 93*z**2/2 - 68*z - 30 = 0. What is z?
-10, -6, -1
Suppose 108*r**3/7 - 36*r**2/7 - 285*r/7 - 150/7 = 0. Calculate r.
-5/6, 2
Suppose 4*b**4 - 100*b**3 + 824*b**2 - 2480*b + 2400 = 0. Calculate b.
2, 3, 10
Find w such that 3*w**3/5 + 21*w**2/5 = 0.
-7, 0
Determine a so that 3*a**3/4 - 3*a**2/4 - 15*a/4 - 9/4 = 0.
-1, 3
Factor -4*j**3/5 + 352*j**2/5 - 6548*j/5 + 1240.
-4*(j - 62)*(j - 25)*(j - 1)/5
Factor -2*h**2/13 - 30*h/13 - 72/13.
-2*(h + 3)*(h + 12)/13
Factor a**3/10 + a**2/5 - 119*a/10 - 294/5.
(a - 12)*(a + 7)**2/10
Find x such that 5*x**5 - 130*x**4 + 90*x**3 + 940*x**2 - 1655*x + 750 = 0.
-3, 1, 2, 25
Suppose -9*w**3 - 25338*w**2 + 16895*w - 2816 = 0. Calculate w.
-2816, 1/3
Determine f, given that 220*f**3 + 260*f**2 + 95*f + 10 = 0.
-1/2, -2/11
Determine j so that 5*j**3 - 270*j**2 + 3900*j - 6760 = 0.
2, 26
Find k such that 3*k**4/7 - 120*k**3/7 + 1074*k**2/7 + 360*k + 189 = 0.
-1, 21
Factor -a**3/2 - 21*a**2 + a/2 + 21.
-(a - 1)*(a + 1)*(a + 42)/2
Find g such that -5*g**2 - 49920*g - 124600320 = 0.
-4992
Determine u so that -u**5/6 - u**4/6 + 35*u**3/6 - 55*u**2/6 - 17*u/3 + 28/3 = 0.
-7, -1, 1, 2, 4
Determine c, given that -5*c**2 - 1120*c = 0.
-224, 0
Find k such that 2*k**4 + 36*k**3 + 142*k**2 + 156*k = 0.
-13, -3, -2, 0
Let 2*o**4/7 + 62*o**3/7 + 416*o**2/7 - 480*o/7 = 0. Calculate o.
-20, -12, 0, 1
Let -3*c**4 + 57*c**3 - 132*c**2 - 192*c = 0. Calculate c.
-1, 0, 4, 16
Let -2*u**2 + 1042*u = 0. What is u?
0, 521
What is v in -5*v**3 + 5*v**2 + 165*v + 315 = 0?
-3, 7
Let 25*i**3 - 110*i**2 - 225*i - 90 = 0. Calculate i.
-1, -3/5, 6
Factor -3*i**4 + 42*i**3 - 108*i**2 + 102*i - 33.
-3*(i - 11)*(i - 1)**3
Factor 2*z**3/9 - 106*z**2/9 + 160*z/3.
2*z*(z - 48)*(z - 5)/9
Suppose c**3 - 11*c**2 + 10*c + 72 = 0. What is c?
-2, 4, 9
Find r, given that 4*r**2/3 + 4024*r/3 = 0.
-1006, 0
Factor 2*d**3/19 - 96*d**2/19 - 98*d/19.
2*d*(d - 49)*(d + 1)/19
Let 81*c**4 + 399*c**3 + 537*c**2 + 201*c - 18 = 0. What is c?
-3, -1, 2/27
Let 2*h**3/5 + 58*h**2/5 + 156*h/5 = 0. Calculate h.
-26, -3, 0
Find b, given that -b**2/7 - 580*b/7 - 579/7 = 0.
-579, -1
Suppose -q**4 + 57*q**2 + 56*q = 0. Calculate q.
-7, -1, 0, 8
Factor 3*a**4 + 156*a**3 + 1281*a**2 - 20340*a + 18900.
3*(a - 7)*(a - 1)*(a + 30)**2
Factor -4*l**4 + 12*l**3 - 8*l**2.
-4*l**2*(l - 2)*(l - 1)
Determine d, given that -d**5 + 16*d**4 + 2*d**3 - 32*d**2 - d + 16 = 0.
-1, 1, 16
Determine o so that 4*o**5/9 - 8*o**4/3 + 40*o**3/9 - 44*o/9 + 8/3 = 0.
-1, 1, 2, 3
Find h, given that -3*h**2 + 106*h + 72 = 0.
-2/3, 36
Suppose 121*w**4/3 + 440*w**3/3 + 400*w**2/3 = 0. What is w?
-20/11, 0
Factor 2*l**4/5 - 8*l**3/5 + 6*l**2/5 + 8*l/5 - 8/5.
2*(l - 2)**2*(l - 1)*(l + 1)/5
What is h in -5*h**3 + 85*h**2 - 400*h + 320 = 0?
1, 8
Suppose q**5/3 - 127*q**4/3 - q**3/3 + 127*q**2/3 = 0. What is q?
-1, 0, 1, 127
Suppose x**4/5 + x**3 - 4*x**2/5 - 4*x = 0. What is x?
-5, -2, 0, 2
Let -b**2 - 150*b - 5625 = 0. What is b?
-75
Factor n**3 + 67*n**2 + 1335*n + 8325.
(n + 15)**2*(n + 37)
Factor -2*p**2/19 + 496*p/19.
-2*p*(p - 248)/19
Let -3*k**3 + 75*k**2 - 429*k - 507 = 0. What is k?
-1, 13
Factor 2*s**2/11 - 40*s/11.
2*s*(s - 20)/11
Suppose -w**3 + 31*w**2 - 251*w + 221 = 0. What is w?
1, 13, 17
Factor -5*r**3 - 570*r**2 + 575*r.
-5*r*(r - 1)*(r + 115)
Factor -5*x**5/9 + 7*x**4 + 26*x**3/9.
-x**3*(x - 13)*(5*x + 2)/9
Factor -3*i**3 - 21*i**2 - 45*i - 27.
-3*(i + 1)*(i + 3)**2
Determine q so that 80*q**4 - 920*q**3 + 1125*q**2 + 740*q + 100 = 0.
-1/4, 2, 10
Factor 4*n**3/5 - 164*n**2/5 + 316*n/5 - 156/5.
4*(n - 39)*(n - 1)**2/5
Determine d, given that 223*d**3 + 225*d**2 + 2*d = 0.
-1, -2/223, 0
Find n, given that -14*n**4/5 - 31*n**3/5 - 18*n**2/5 + n/5 + 2/5 = 0.
-1, -1/2, 2/7
Factor -2*c**2 - 4*c + 6.
-2*(c - 1)*(c + 3)
Factor 2*t**2/3 - 208*t/3 + 206/3.
2*(t - 103)*(t - 1)/3
Solve 2*i**2 - 24636*i + 75866562 = 0 for i.
6159
Factor 5*g**4/6 + 200*g**3/3 + 3625*g**2/6 + 4375*g/3.
5*g*(g + 5)**2*(g + 70)/6
Suppose -r**3 - 53*r**2 + 224*r - 228 = 0. What is r?
-57, 2
Solve 2*x**3/5 + 14*x**2 - 96*x/5 - 864/5 = 0.
-36, -3, 4
Determine x, given that -2*x**2 + 346*x + 348 = 0.
-1, 174
Let -a**5/4 - 5*a**4/4 + 2*a**3 + 11*a**2 - 8*a - 16 = 0. Calculate a.
-4, -1, 2
Factor -r**3 + 9*r**2 - 27*r + 27.
-(r - 3)**3
Factor -5*b**2 + 85*b + 190.
-5*(b - 19)*(b + 2)
Factor -22*g**2 - 26*g + 48.
-2*(g - 1)*(11*g + 24)
Factor 5*u**5 + 100*u**4 + 590*u**3 + 900*u**2 + 405*u.
5*u*(u + 1)**2*(u + 9)**2
Suppose y**2/2 + 23*y/2 = 0. Calculate y.
-23, 0
Factor -2*m**2 + 56*m - 54.
-2*(m - 27)*(m - 1)
Factor -u**3 + 36*u**2 + 3243*u + 43378.
-(u - 82)*(u + 23)**2
Factor -93*w**4/4 + 54*w**3 - 153*w**2/4 + 15*w/2.
-3*w*(w - 1)**2*(31*w - 10)/4
Let 14*r**2 - 584*r - 168 = 0. Calculate r.
-2/7, 42
Factor -8*y**3 + 82*y**2 - 92*y + 18.
-2*(y - 9)*(y - 1)*(4*y - 1)
Factor -2*l**3 + 82*l**2 - 438*l + 630.
-2*(l - 35)*(l - 3)**2
Suppose p**3/4 + 11*p**2/4 = 0. What is p?
-11, 0
Solve -3*n**5/2 + 69*n**4/2 - 93*n**3/2 - 3321*n**2/2 - 4860*n - 4050 = 0 for n.
-3, -2, 15
Factor 2*p**4 + 8*p**3 + 10*p**2 + 4*p.
2*p*(p + 1)**2*(p + 2)
Factor d**4/9 - 8*d**3/3 + 7*d**2.
d**2*(d - 21)*(d - 3)/9
Find w such that -15*w**3 + 1445*w**2 - 480*w = 0.
0, 1/3, 96
Factor 5*r**3/6 - 2*r**2/3 - 7*r/6 + 1.
(r - 1)**2*(5*r + 6)/6
Find p, given that 40*p**4/3 - 158*p**3/3 - 232*p**2/3 + 86*p/3 + 40 = 0.
-1, -4/5, 3/4, 5
Factor -2*h**3/13 - 332*h**2/13 + 670*h/13 - 336/13.
-2*(h - 1)**2*(h + 168)/13
Solve -6*p**4/5 - 34*p**3 - 200*p**2 + 408*p - 864/5 = 0 for p.
-18, -12, 2/3, 1
Factor 5*u**3/3 + 260*u**2/3 + 1825*u/3 - 4730/3.
5*(u - 2)*(u + 11)*(u + 43)/3
Factor 6*r**2/7 - 66*r/7 - 72/7.
6*(r - 12)*(r + 1)/7
Factor -3*w**2/4 - 93*w/2 - 174.
-3*(w + 4)*(w + 58)/4
Let 6*j**4 - 957*j**3 + 39798*j**2 - 130572*j + 109512 = 0. What is j?
3/2, 2, 78
Let u**4/4 - 19*u**3/4 + 17*u**2/4 + 19*u/4 - 9/2 = 0. What is u?
-1, 1, 18
Determine i so that -3*i**4/2 - 6663*i**3 - 14811843*i**2/2 - 14791860*i - 7392600 = 0.
-2220, -1
Let -z**4/6 - 4*z**3/3 - 19*z**2/6 - 2*z = 0. Calculate z.
-4, -3, -1, 0
Solve -4*a**4 + 8*a**3 + 16*a**2 - 8*a - 12 = 0 for a.
-1, 1, 3
Suppose -a**4/2 + 13*a**2/2 - 6*a = 0. What is a?
-4, 0, 1, 3
Solve 30*o**5 + 259*o**4 - 116*o**3 - 155*o**2 - 18*o = 0 for o.
-9, -1/2, -2/15, 0, 1
Suppose 3*z**3/5 - 204*z**2/5 - 12*z/5 + 816/5 = 0. What is z?
-2, 2, 68
Factor 3*c**2/7 + 9006*c/7 + 6759003/7.
3*(c + 1501)**2/7
Suppose 2*a**3/3 + 8*a**2 - 530*a/3 - 184 = 0. What is a?
-23, -1, 12
Factor o**2 - 44*o.
o*(o - 44)
Suppose -d**4 - 3*d**3 + 4*d**2 + 12*d = 0. What is d?
-3, -2, 0, 2
Factor -2738*c**2/3 + 296*c/3 - 8/3.
-2*(37*c - 2)**2/3
What is n in -4*n**2/5 + 52*n/5 - 88/5 = 0?
2, 11
Factor -2*g**3/11 + 150*g**2/11 - 2214*g/11 + 9234/11.
-2*(g - 57)*(g - 9)**2/11
Solve -700*m**4 + 1580*m**3 - 368*m**2 + 16*m = 0 for m.
0, 2/35, 1/5, 2
Let -36*p**3 - 196*p**2 + 120*p = 0. Calculate p.
-6, 0, 5/9
Factor 2*u**3/5 + 74*u**2/5 - 2018*u/5 - 418.
2*(u - 19)*(u + 1)*(u + 55)/5
Find g such that g**3/2 - 75*g**2/2 + 1443*g/2 - 1369/2 = 0.
1, 37
What is t in 4*t**4 + 20*t**3 + 24*t**2 = 0?
-3, -2, 0
Factor 5*v**4 - 15*v**3 - 10*v**2 + 60*v - 40.
5*(v - 2)**2*(v - 1)*(v + 2)
Determine b so that b**3/2 - 19*b**2/2 = 0.
0, 19
Factor h**5 - 18*h**4 + 29*h**3 + 48*h**2.
h**2*(h - 16)*(h - 3)*(h + 1)
Determine l so that -4*l**5/7 + 396*l**4/7 - 9592*l**3/7 - 10800*l**2/7 + 20000*l/7 = 0.
-2, 0, 1, 50
What is g in 2*g**4 - 38*g**3/5 - 518*g**2/5 - 1002*g/5 - 36 = 0?
-3, -1/5, 10
Factor 3*v**2 + 20526*v + 35109723.
3*(v + 3421)**2
Factor -8*s**2/7 + 6*s/7 + 2/7.
-2*(s - 1)*(4*s + 1)/7
Factor 3*x**2 + 15*x.
3*x*(x + 5)
Solve -4*w**4/7 - 16*w**3 - 212*w**2/7 - 104*w/7 = 0.
-26, -1, 0
Let -3*p**2/8 - 633*p/8 - 621/2 = 0. What is p?
-207, -4
Find q, given that -q**5/3 - 8*q**4/3 - 20*q**3/3 - 10*q**2/3 + 7*q + 6 = 0.
-3, -2, -1, 1
Suppose 2*m**5/5 + 14*m**4 - 74*m**3/5 - 14*m**2 + 72*m/5 = 0. Calculate m.
-36, -1, 0, 1
Find m such that m**5 + 12*m**4