 + 436*y**3/17 + 1296*y**2/17 + 1674*y/17 + 756/17 = 0.
-21, -3, -2, -1
Find d such that -d**2 - 105*d = 0.
-105, 0
Factor -2*y**4/5 - y**3 + 22*y**2/5 - 3*y.
-y*(y - 1)*(y + 5)*(2*y - 3)/5
Factor 2*w**2/9 - 34*w/9 - 4.
2*(w - 18)*(w + 1)/9
Find l such that 2*l**2 - 40*l - 42 = 0.
-1, 21
Factor i**3 - 67*i**2.
i**2*(i - 67)
Solve 18*l**5 - 309*l**4 + 1509*l**3 - 2313*l**2 + 1245*l - 150 = 0.
1/6, 1, 5, 10
Determine w, given that w**3/2 - 55*w**2/2 - 124*w + 354 = 0.
-6, 2, 59
Determine h, given that 5*h**4 - 254*h**3 + 4284*h**2 - 23698*h - 4913 = 0.
-1/5, 17
Suppose 6*u**4/11 - 1248*u**3/11 + 60894*u**2/11 + 432708*u/11 - 1099104/11 = 0. What is u?
-8, 2, 107
Factor -5*p**3 - 55*p**2 + 125*p - 65.
-5*(p - 1)**2*(p + 13)
Factor -4*f**4 - 820*f**3 - 13896*f**2 - 81648*f - 161568.
-4*(f + 6)**3*(f + 187)
Factor t**2/3 - 166*t/3 + 6889/3.
(t - 83)**2/3
Factor -2*f**4/11 - 16*f**3/11 - 10*f**2/11 + 100*f/11.
-2*f*(f - 2)*(f + 5)**2/11
What is x in -5*x**5 - 170*x**4 - 1070*x**3 + 6280*x**2 - 8645*x + 3610 = 0?
-19, 1, 2
Find r, given that 3*r**4 - 3*r**3 - 18*r**2 + 12*r + 24 = 0.
-2, -1, 2
Factor -2*f**2 - 1344*f - 225792.
-2*(f + 336)**2
Factor 5*u**2 + 150*u + 405.
5*(u + 3)*(u + 27)
Find m, given that -4*m**5 - 56*m**4 - 184*m**3 - 256*m**2 - 164*m - 40 = 0.
-10, -1
Factor l**4/5 - 10*l**3 + 141*l**2/5 + 4*l/5 - 188/5.
(l - 47)*(l - 2)**2*(l + 1)/5
Let j**5/2 + 16*j**4 + 172*j**3 + 800*j**2 + 1608*j + 1152 = 0. Calculate j.
-16, -6, -2
Factor -5*y**2 + 1970*y + 1975.
-5*(y - 395)*(y + 1)
Solve -30*a**3/7 + 302*a**2/7 - 650*a/7 + 6 = 0 for a.
1/15, 3, 7
Find a, given that -a**3 - 6*a**2 - 8*a = 0.
-4, -2, 0
Factor 2*f**3 - 120*f**2 - 246*f - 124.
2*(f - 62)*(f + 1)**2
Suppose 10*o**2/7 - 3356*o/7 - 192 = 0. What is o?
-2/5, 336
Find r such that r**4 - 10*r**3 + 31*r**2 - 30*r = 0.
0, 2, 3, 5
Factor 3*m**4/8 + 27*m**3/4 + 99*m**2/8 + 6*m.
3*m*(m + 1)**2*(m + 16)/8
Suppose 14*y**2/5 - 1046*y/5 - 60 = 0. Calculate y.
-2/7, 75
Factor -5*l**4 + 65*l**3 + 225*l**2 + 235*l + 80.
-5*(l - 16)*(l + 1)**3
Factor -5*l**3 - 15*l**2 + 50*l + 120.
-5*(l - 3)*(l + 2)*(l + 4)
Suppose -10*n**3/3 + 26*n**2/3 + 122*n/3 - 46 = 0. Calculate n.
-3, 1, 23/5
Determine t so that -2*t**3 - 54*t**2 - 192*t + 2560 = 0.
-16, 5
Suppose r**2/7 + 227*r/7 + 310 = 0. Calculate r.
-217, -10
Suppose 2*t**4/11 + 10*t**3/11 - 12*t**2/11 = 0. What is t?
-6, 0, 1
What is a in 2*a**2/7 - 50*a = 0?
0, 175
Factor -914*k**2/3 + 3960*k + 26/3.
-2*(k - 13)*(457*k + 1)/3
Let s**3 - 26*s**2/3 + 52*s/3 - 8 = 0. What is s?
2/3, 2, 6
What is v in -3*v**4 - 366*v**3 - 1776*v**2 - 2466*v - 1053 = 0?
-117, -3, -1
Determine p, given that -2*p**4/11 + 292*p**3/11 - 942*p**2 - 21608*p/11 - 10952/11 = 0.
-1, 74
Factor -7*n**5 + 4*n**4 + 20*n**3 - 14*n**2 - 13*n + 10.
-(n - 1)**3*(n + 1)*(7*n + 10)
Factor 4232*t**2/9 + 184*t/9 + 2/9.
2*(46*t + 1)**2/9
Determine c so that 5*c**5 - 25*c**4 - 20*c**3 + 220*c**2 - 240*c = 0.
-3, 0, 2, 4
What is z in -z**2 - 132*z + 268 = 0?
-134, 2
Solve -5*a**3 + 255*a**2 - 720*a = 0.
0, 3, 48
Suppose 2*c**3/9 - 2*c**2 + 40*c/9 = 0. What is c?
0, 4, 5
Solve 28*s**4 - 344*s**3 + 1251*s**2 - 1177*s + 242 = 0.
2/7, 1, 11/2
Factor s**2/4 - 5427*s/2 + 29452329/4.
(s - 5427)**2/4
Factor -2*j**3/9 - 10*j**2/9 + 112*j/3 - 136.
-2*(j - 6)**2*(j + 17)/9
Factor -2*t**3 + 1316*t**2 + 2638*t + 1320.
-2*(t - 660)*(t + 1)**2
Factor -2*w**2/3 - 184*w + 558.
-2*(w - 3)*(w + 279)/3
Factor -t**3 - 22*t**2 - 72*t.
-t*(t + 4)*(t + 18)
Factor g**4 - 31*g**3 + 253*g**2 - 165*g - 450.
(g - 15)**2*(g - 2)*(g + 1)
Find c, given that -5*c**2 - 35*c + 220 = 0.
-11, 4
Find h, given that -9*h**3/5 + 114*h**2/5 - 441*h/5 + 108 = 0.
3, 20/3
Let -2*i**4/11 - 4*i**3/11 + 18*i**2/11 + 4*i/11 - 16/11 = 0. What is i?
-4, -1, 1, 2
Determine v, given that -64*v**5/5 + 96*v**4/5 + 988*v**3/5 + 772*v**2/5 - 576*v/5 + 16 = 0.
-2, 1/4, 5
Factor 4*y**2/3 - 2104*y/3 + 700.
4*(y - 525)*(y - 1)/3
Factor 2*m**2/5 - 74*m/5 + 28.
2*(m - 35)*(m - 2)/5
Factor 2*l**2 + 102*l + 100.
2*(l + 1)*(l + 50)
Suppose z**5 + 904*z**4 + 271801*z**3 + 26997290*z**2 - 54813604*z + 27543608 = 0. Calculate z.
-302, 1
Find r such that -3*r**2 - 1482*r - 7335 = 0.
-489, -5
Find g such that 2*g**3/9 + 200*g**2/9 + 1504*g/9 + 2944/9 = 0.
-92, -4
Let -4*h**5 - 110*h**4 - 1110*h**3 - 4880*h**2 - 8320*h - 3072 = 0. What is h?
-8, -3, -1/2
Factor -5*o**2 - 730*o - 26645.
-5*(o + 73)**2
Solve 5*j**5 - 310*j**4 - 640*j**3 - 10*j**2 + 635*j + 320 = 0.
-1, 1, 64
Let 6*r**2 - 105*r + 51 = 0. Calculate r.
1/2, 17
Factor -16*u**2 - 560*u - 4900.
-4*(2*u + 35)**2
Determine f so that f**2/4 + 595*f/4 + 297/2 = 0.
-594, -1
Factor -26*o**4 + 75*o**3 + 9*o**2 - 104*o - 12.
-(o - 2)**2*(o + 1)*(26*o + 3)
Factor -3*n**5/5 - 57*n**4/5 - 21*n**3 - 51*n**2/5.
-3*n**2*(n + 1)**2*(n + 17)/5
Factor -t**3/5 + 6*t**2/5 - t.
-t*(t - 5)*(t - 1)/5
Suppose -y**3/5 + y**2 + 46*y/5 + 8 = 0. Calculate y.
-4, -1, 10
Factor 704*r**3 + 288*r**2 + 12*r - 4.
4*(4*r + 1)**2*(11*r - 1)
Let -b**5/2 - 33*b**4/2 + 263*b**3/2 - 663*b**2/2 + 337*b - 120 = 0. What is b?
-40, 1, 2, 3
Solve 2*s**3/7 + 460*s**2/7 + 26450*s/7 = 0 for s.
-115, 0
Find s, given that -5*s**4 - 15*s**3 + 20*s = 0.
-2, 0, 1
Find j, given that -3*j**4 + 1704*j**3 - 323190*j**2 + 20575296*j - 20253807 = 0.
1, 189
Determine m, given that -3*m**4 - 114*m**3 - 471*m**2 + 828*m + 1188 = 0.
-33, -6, -1, 2
Solve -10*j**5 + 75*j**4/2 + 80*j**3 - 645*j**2/2 + 155*j + 60 = 0.
-3, -1/4, 1, 2, 4
Factor 2*q**3 - 118*q**2 + 112*q + 232.
2*(q - 58)*(q - 2)*(q + 1)
Suppose 44*q**4 + 168*q**3 - 208*q**2 - 672*q + 128 = 0. What is q?
-4, -2, 2/11, 2
Factor 4*p**5 - 20*p**4 - 88*p**3 - 64*p**2.
4*p**2*(p - 8)*(p + 1)*(p + 2)
Factor 5*w**5 + 265*w**4 + 4080*w**3 + 14400*w**2.
5*w**2*(w + 5)*(w + 24)**2
Find j such that 5*j**2 + 125*j - 420 = 0.
-28, 3
What is t in 3*t**3 + 1035*t**2 + 88749*t - 89787 = 0?
-173, 1
Find o, given that o**3/7 - 11*o**2/7 - 93*o/7 - 153/7 = 0.
-3, 17
Let 180*u**5 + 216*u**4 - 332*u**3 - 80*u**2 + 16*u = 0. What is u?
-2, -1/3, 0, 2/15, 1
Solve -4*b**2 + 48*b - 80 = 0 for b.
2, 10
Determine v so that v**5 + 5*v**4 - 18*v**3 - 58*v**2 + 145*v - 75 = 0.
-5, 1, 3
Factor -3*l**3/7 + 18*l**2 - 81*l + 444/7.
-3*(l - 37)*(l - 4)*(l - 1)/7
Find z, given that -3*z**3/7 - 108*z**2/7 - 87*z = 0.
-29, -7, 0
Determine v so that -3*v**5/2 - 9*v**4 + 27*v**3/2 + 21*v**2 = 0.
-7, -1, 0, 2
Factor -4*v**3 + 276*v**2 + 580*v - 852.
-4*(v - 71)*(v - 1)*(v + 3)
Find r, given that -8*r**2 - 4*r = 0.
-1/2, 0
Factor 39*j**4 - 162*j**3 + 180*j**2 - 24*j.
3*j*(j - 2)**2*(13*j - 2)
Factor -s**3/4 - 53*s**2/2 + 325*s/4 - 109/2.
-(s - 2)*(s - 1)*(s + 109)/4
Factor 2*n**3/3 - 166*n**2/3 - 350*n - 534.
2*(n - 89)*(n + 3)**2/3
Find r, given that -r**3 - 9*r**2 - 11*r + 21 = 0.
-7, -3, 1
Find q such that -q**2/7 + 265*q = 0.
0, 1855
Suppose -z**5 + 6*z**4 - 3*z**3 - 10*z**2 = 0. What is z?
-1, 0, 2, 5
Let -16*b**4 + 108*b**3 - 148*b**2 + 36*b + 20 = 0. What is b?
-1/4, 1, 5
Find g, given that 4*g**3/3 + 52*g**2 + 676*g + 8788/3 = 0.
-13
Let -4*a**2 - 32*a + 36 = 0. What is a?
-9, 1
Determine a, given that -3*a**5/2 + 285*a**4/2 - 3828*a**3 + 20328*a**2 = 0.
0, 7, 44
Let f**4/3 - 2*f**3/3 - 4*f**2/3 + 2*f/3 + 1 = 0. Calculate f.
-1, 1, 3
Determine j so that 5*j**5 + 50*j**4 + 55*j**3 - 230*j**2 - 240*j = 0.
-8, -3, -1, 0, 2
What is n in n**4 + n**3 - n**2 - n = 0?
-1, 0, 1
Factor -k**5/7 - 80*k**4/7 - 1822*k**3/7 - 8880*k**2/7 - 12321*k/7.
-k*(k + 3)**2*(k + 37)**2/7
Suppose 3*n**4/7 - 9*n**3 + 405*n**2/7 - 729*n/7 = 0. What is n?
0, 3, 9
Suppose -2*h**5 + 190*h**4 - 3236*h**3 + 18060*h**2 - 27162*h + 12150 = 0. What is h?
1, 9, 75
Determine m so that -2*m**4 + 44*m**3 - 310*m**2 + 796*m - 528 = 0.
1, 4, 6, 11
Suppose -3*j**3/8 + 249*j**2/2 - 81663*j/8 - 83667/4 = 0. What is j?
-2, 167
Suppose -c**2 - 33*c + 70 = 0. Calculate c.
-35, 2
What is f in 3*f**2 - 45*f = 0?
0, 15
Factor 2*o**2 + 386*o + 764.
2*(o + 2)*(o + 191)
Factor f**4 - 7*f**2 - 6*f.
f*(f - 3)*(f + 1)*(f + 2)
Factor -b**2 - 102*b.
-b*(b + 102)
Factor -2*t**3/5 - 12*t**2 - 504*t/5 - 784/5.
-2*(t + 2)*(t + 14)**2/5
Factor -5*r**5 + 315*r**4 - 4680*r**3.
-5*r**3*(r - 39)*(r - 24)
Determine l so that -52*l**2 + 420*l - 32 = 0.
1/13, 8
Determine n so that n**5/4 + 9*n**4/2 + 7