2/9
Suppose -5*o**3 - 230*o**2 - 1845*o - 1620 = 0. What is o?
-36, -9, -1
Factor -q**2/9 + 230*q/9 - 13225/9.
-(q - 115)**2/9
Suppose 4*h**3 + 20*h**2 + 32*h + 16 = 0. Calculate h.
-2, -1
Let 4*b**4 + 228*b**3 - 708*b**2 + 716*b - 240 = 0. Calculate b.
-60, 1
Factor -b**2/4 - 3365*b/2 - 11323225/4.
-(b + 3365)**2/4
Factor p**3 + 51*p**2 - 106*p.
p*(p - 2)*(p + 53)
Let -84*a**4 + 50*a**3 + 38*a**2 - 4*a = 0. Calculate a.
-1/2, 0, 2/21, 1
Suppose -2*k**4/3 + 10*k**3/3 + 26*k**2/3 + 14*k/3 = 0. Calculate k.
-1, 0, 7
Factor -k**4/2 + 145*k**3/2 + 601*k**2/2 - 745*k/2.
-k*(k - 149)*(k - 1)*(k + 5)/2
Factor -8*k**2/11 - 610*k/11 - 152/11.
-2*(k + 76)*(4*k + 1)/11
Let -4*k**5/7 + 60*k**4/7 - 288*k**3/7 + 64*k**2 = 0. Calculate k.
0, 4, 7
Factor 5*h**3 + 2250*h**2 + 4485*h + 2240.
5*(h + 1)**2*(h + 448)
Solve -2*h**4 - 20*h**3 - 8*h**2 + 84*h - 54 = 0 for h.
-9, -3, 1
Suppose -2*r**4 - 87*r**3 - 42*r**2 + 43*r = 0. Calculate r.
-43, -1, 0, 1/2
Factor -2*b**2/9 + 70*b/9 - 68/9.
-2*(b - 34)*(b - 1)/9
Factor -2*a**4/7 + 4*a**3/7 + 2*a**2/7 - 4*a/7.
-2*a*(a - 2)*(a - 1)*(a + 1)/7
Factor -25*q**3 - 4660*q**2 + 2815*q + 1870.
-5*(q - 1)*(q + 187)*(5*q + 2)
Factor -i**2/4 - 49*i/4 + 25/2.
-(i - 1)*(i + 50)/4
Factor 3*n**4/5 + 15*n**3 + 408*n**2/5.
3*n**2*(n + 8)*(n + 17)/5
Factor -u**4/2 - 17*u**3 - 349*u**2/2 - 510*u - 450.
-(u + 2)**2*(u + 15)**2/2
Factor -4*h**3 + 344*h**2.
-4*h**2*(h - 86)
What is w in -3*w**3/2 + 75*w**2 - 792*w + 1296 = 0?
2, 12, 36
Factor -5*b**2 + 340*b - 5780.
-5*(b - 34)**2
Find w, given that 10*w**2 + 426*w - 172 = 0.
-43, 2/5
Factor -2*w**3/5 - 9558*w**2/5 - 15225894*w/5 - 8084949714/5.
-2*(w + 1593)**3/5
Solve -4*r**2 - 3564*r = 0.
-891, 0
Factor 2*p**3/3 + 14*p**2/3 - 20*p.
2*p*(p - 3)*(p + 10)/3
Factor -3*z**3/2 - 81*z**2/2.
-3*z**2*(z + 27)/2
Determine d, given that -4*d**2 + 148*d + 152 = 0.
-1, 38
Factor 3*y**3/5 - 486*y**2/5 + 19683*y/5.
3*y*(y - 81)**2/5
Factor -2*x**2 - 722*x/7 + 312/7.
-2*(x + 52)*(7*x - 3)/7
What is f in -6*f**5/5 - 2232*f**4/5 - 276768*f**3/5 - 11439744*f**2/5 = 0?
-124, 0
What is t in -4*t**2 - 36*t - 32 = 0?
-8, -1
Find g, given that g**2 + 91*g - 1236 = 0.
-103, 12
Solve 2*s**5/19 + 34*s**4/19 + 30*s**3/19 - 1034*s**2/19 + 968*s/19 = 0 for s.
-11, 0, 1, 4
Determine r so that 303*r**2 + 636*r + 60 = 0.
-2, -10/101
Factor x**5/2 + 5*x**4 - 3*x**3/2 - 70*x**2 + 98*x.
x*(x - 2)**2*(x + 7)**2/2
Factor 1089*f**2/5 + 1320*f + 2000.
(33*f + 100)**2/5
Factor -3*k**4 + 120*k**3 - 114*k**2 - 120*k + 117.
-3*(k - 39)*(k - 1)**2*(k + 1)
Suppose -2*n**4/7 + 124*n**3/7 + 654*n**2/7 + 152*n + 536/7 = 0. Calculate n.
-2, -1, 67
Factor -2*o**4/3 - 16*o**3/9 - 14*o**2/9 - 4*o/9.
-2*o*(o + 1)**2*(3*o + 2)/9
Factor r**2/8 - 64*r + 8192.
(r - 256)**2/8
Determine x, given that 2*x**5/3 - 14*x**4 + 292*x**3/3 - 688*x**2/3 + 1024/3 = 0.
-1, 2, 4, 8
Let a**3/10 - 2*a**2 + 17*a/10 + 19/5 = 0. What is a?
-1, 2, 19
Find q such that -q**2 + 12*q + 189 = 0.
-9, 21
Factor 2*k**2/5 - 1166*k/5 + 2324/5.
2*(k - 581)*(k - 2)/5
Let 2*i**5/7 - 20*i**4/7 + 8*i**3/7 + 48*i**2 - 576*i/7 = 0. What is i?
-4, 0, 2, 6
Suppose 3*w**2 - 234*w - 2064 = 0. Calculate w.
-8, 86
Determine s, given that s**2/4 - 15*s/4 + 7/2 = 0.
1, 14
Find m such that -4*m**5 - 12*m**4 + 68*m**3 - 36*m**2 - 64*m + 48 = 0.
-6, -1, 1, 2
Solve -2*y**2 - 284*y + 286 = 0.
-143, 1
Let o**3/8 + 27*o**2/4 + 825*o/8 + 625/2 = 0. Calculate o.
-25, -4
Factor -2*n**4/9 - 10*n**3/9 - 8*n**2/9.
-2*n**2*(n + 1)*(n + 4)/9
Solve 3*n**3 + 39*n**2 + 57*n - 99 = 0.
-11, -3, 1
What is s in 13*s**4/6 - 31*s**3/2 + 46*s**2/3 - 2*s = 0?
0, 2/13, 1, 6
Factor -y**4/2 - 8*y**3 - 32*y**2.
-y**2*(y + 8)**2/2
Find g such that -2*g**3/7 - 356*g**2/7 - 704*g/7 = 0.
-176, -2, 0
Solve -100*k**4/3 + 4120*k**3/3 + 3344*k**2/3 + 224*k = 0 for k.
-2/5, 0, 42
Determine u so that 5*u**4 + 20*u**3 - 25*u**2 = 0.
-5, 0, 1
Solve 5*x**3 + 105*x**2 + 360*x + 340 = 0 for x.
-17, -2
Determine u, given that -u**4 - 127*u**3 - 2752*u**2 + 85824*u - 82944 = 0.
-72, 1, 16
Factor -4*i**3 - 272*i**2 - 4340*i + 9800.
-4*(i - 2)*(i + 35)**2
Let 2*h**4/3 + 26*h**3 + 272*h**2 + 2176*h/3 - 1024 = 0. Calculate h.
-24, -8, 1
What is o in -2*o**2 + 932*o - 930 = 0?
1, 465
Factor -a**3/3 - 172*a**2/3 - 2261*a/3 - 7742/3.
-(a + 7)**2*(a + 158)/3
Let -i**5/5 - 36*i**4/5 - 299*i**3/5 = 0. What is i?
-23, -13, 0
Factor -2*c**4 + 16*c**3 - 12*c**2 - 16*c + 14.
-2*(c - 7)*(c - 1)**2*(c + 1)
Factor -5*g**2 - 230*g - 2465.
-5*(g + 17)*(g + 29)
Solve 5*w**2 - 45*w + 40 = 0.
1, 8
Determine a so that -a**2 - 43*a - 352 = 0.
-32, -11
Factor z**3/2 + 29*z**2/4 + 47*z/2 + 10.
(z + 4)*(z + 10)*(2*z + 1)/4
Find i such that -4*i**4 - 132*i**3 + 140*i**2 + 132*i - 136 = 0.
-34, -1, 1
Factor 5*f**4/2 - 115*f**3 + 2645*f**2/2.
5*f**2*(f - 23)**2/2
Factor 4*t**3 - 20*t**2 - 68*t + 84.
4*(t - 7)*(t - 1)*(t + 3)
Factor x**3/6 - 1295*x**2/3 + 5177*x/6 - 1294/3.
(x - 2588)*(x - 1)**2/6
Solve 3*w**3 - 213*w**2 - 435*w - 219 = 0.
-1, 73
Solve -4*n**3 - 96*n**2 = 0 for n.
-24, 0
Determine j, given that -4*j**2 - 12*j + 112 = 0.
-7, 4
Determine t so that 125*t**5 - 2975*t**4 + 9320*t**3 + 3940*t**2 - 6880*t + 1600 = 0.
-1, 2/5, 4, 20
What is y in -4356*y**5/7 - 6600*y**4/7 - 388*y**3/7 + 1600*y**2/7 - 256*y/7 = 0?
-1, 0, 8/33
Factor -3*l**4/4 - 3*l**3 + 3*l**2/4 + 3*l.
-3*l*(l - 1)*(l + 1)*(l + 4)/4
Factor 5*y**3 + 40*y**2 - 4420*y.
5*y*(y - 26)*(y + 34)
Find q such that -5*q**4 + 160*q**3 - 840*q**2 + 1600*q - 1040 = 0.
2, 26
Factor 3*b**3 - 279*b**2 - 2376*b - 4848.
3*(b - 101)*(b + 4)**2
Suppose -4*i**2 - 496*i - 15376 = 0. Calculate i.
-62
Determine q so that -q**4/5 - 18*q**3/5 = 0.
-18, 0
Suppose 4*t**2 - 1852*t - 3720 = 0. What is t?
-2, 465
Solve -118*t**5/3 - 76*t**4 - 34*t**3 + 8*t**2/3 = 0 for t.
-1, 0, 4/59
Factor -2*r**5/19 + 110*r**4/19 - 1940*r**3/19 + 500*r**2 + 1330*r + 722.
-2*(r - 19)**3*(r + 1)**2/19
Suppose -4805*s**3/3 - 2542*s**2/3 - 268*s/3 - 8/3 = 0. Calculate s.
-2/5, -2/31
Let 2*p**2/21 - 458*p/21 + 152/7 = 0. Calculate p.
1, 228
Factor -s**2/3 + 32*s/3 + 11.
-(s - 33)*(s + 1)/3
Solve -36*p**5 + 44*p**4 + 172*p**3 + 68*p**2 - 24*p = 0 for p.
-1, 0, 2/9, 3
Factor s**4/11 - s**3/11 - 9*s**2/11 - s - 4/11.
(s - 4)*(s + 1)**3/11
Solve -5*b**3 + 360*b**2 + 375*b - 730 = 0 for b.
-2, 1, 73
Factor g**4 - 9*g**3 + 108*g.
g*(g - 6)**2*(g + 3)
Suppose -21*k**2 - 75*k + 36 = 0. What is k?
-4, 3/7
Suppose -5*x**5 - 25*x**4 - 25*x**3 + 25*x**2 + 30*x = 0. What is x?
-3, -2, -1, 0, 1
Factor -2*w**4 - 530*w**3 + 1602*w**2 - 1606*w + 536.
-2*(w - 1)**3*(w + 268)
Solve -35*a**5 - 165*a**4 - 230*a**3 - 60*a**2 + 40*a = 0 for a.
-2, -1, 0, 2/7
Let 16*k**5/3 + 392*k**4/3 - 869*k**3 + 1024*k**2/3 + 1025*k/3 + 50 = 0. What is k?
-30, -1/4, 1, 5
Solve -2*g**3/3 - 40*g**2 - 600*g = 0.
-30, 0
Determine d, given that -2*d**5 + 644*d**4 + 1944*d**3 + 1948*d**2 + 650*d = 0.
-1, 0, 325
Let -112*u**3 + 284*u**2 - 128*u + 16 = 0. Calculate u.
1/4, 2/7, 2
Suppose 45*m**5 - 33*m**4 - 39*m**3 + 33*m**2 - 6*m = 0. What is m?
-1, 0, 1/3, 2/5, 1
Find z such that 2*z**2/5 + 112*z/5 - 114/5 = 0.
-57, 1
Determine v so that -4*v**4 + 48*v**3 - 180*v**2 + 200*v = 0.
0, 2, 5
Let 3*r**4/8 + 207*r**3/4 + 17523*r**2/8 + 27945*r + 109350 = 0. Calculate r.
-60, -9
Factor 35*r**3 + 410*r**2 - 120*r.
5*r*(r + 12)*(7*r - 2)
Factor 3*z**3/2 + 15*z**2/2 - 39*z/2 + 21/2.
3*(z - 1)**2*(z + 7)/2
Suppose -8*y**2/3 - 34*y + 26/3 = 0. Calculate y.
-13, 1/4
Determine c so that 4*c**2 - 216*c = 0.
0, 54
What is g in -4*g**3 - 452*g**2 - 12540*g + 12996 = 0?
-57, 1
Solve 3*h**4 - 96*h**3 + 858*h**2 - 1440*h + 675 = 0.
1, 15
Solve 8*u**5/11 - 1038*u**4/11 + 772*u**3/11 + 258*u**2/11 = 0.
-1/4, 0, 1, 129
Let 2*v**4/3 - 136*v**3 - 412*v**2/3 + 136*v + 410/3 = 0. What is v?
-1, 1, 205
Factor -d**3/3 - 5*d**2/3 + 8*d.
-d*(d - 3)*(d + 8)/3
Determine l, given that 2*l**5 + 44*l**4 - 162*l**3 - 284*l**2 + 400*l = 0.
-25, -2, 0, 1, 4
Factor -5*w**3 + 290*w**2 - 275*w - 570.
-5*(w - 57)*(w - 2)*(w + 1)
Suppose -b**5/4 + 9*b**4/4 - 5*b**3 + 3*b**2 = 0. Calculate b.
0, 1, 2, 6
Factor c**5/7 + 6*c**4/7 + 9*c**3/7 + 4*c**2/7.
c**2*(c + 1)**2*(c + 4)/7
Determine b so that -5*b**4 + 65*b**3 - 165*b**2 + 155*b - 50 = 0.
1, 10
Suppose -2*j**2 - 384*j - 382 = 0. What is j?
-191, -1
Find k such that -k*