*(o + 2)
Factor s**2/4 - s/2 - 42.
(s - 14)*(s + 12)/4
Factor -5*x**2 - 265*x + 270.
-5*(x - 1)*(x + 54)
Determine h, given that -h**3 - 9*h**2 - 24*h - 16 = 0.
-4, -1
Solve -2*u**5 - 26*u**4 + 2*u**3 + 26*u**2 = 0 for u.
-13, -1, 0, 1
Factor 2*y**4 - 2162*y**3 - 2*y**2 + 2162*y.
2*y*(y - 1081)*(y - 1)*(y + 1)
Suppose -4*g**5 + 16*g**4 - 4*g**3 - 40*g**2 + 16*g + 32 = 0. What is g?
-1, 2
Determine r, given that -4*r**2 - 136*r + 444 = 0.
-37, 3
Factor 4*b**2 + 184*b + 352.
4*(b + 2)*(b + 44)
Factor -3*i**4 - 1674*i**3 - 230151*i**2 + 940788*i - 947532.
-3*(i - 2)**2*(i + 281)**2
Find u such that u**2/4 + 9*u/4 + 2 = 0.
-8, -1
Let 3*k**5 + 36*k**4 + 24*k**3 - 102*k**2 - 27*k + 66 = 0. Calculate k.
-11, -2, -1, 1
Determine y so that -y**5/2 - 5*y**4/2 - 3*y**3 + y**2 + 7*y/2 + 3/2 = 0.
-3, -1, 1
Suppose -6*t**3/7 + 16*t**2 - 486*t/7 + 380/7 = 0. Calculate t.
1, 5, 38/3
Solve -5*x**2 + 27055*x = 0 for x.
0, 5411
Factor 5*m**2 - 175*m + 480.
5*(m - 32)*(m - 3)
Find l such that 104*l**5/7 + 3554*l**4/7 - 6774*l**3/7 + 2398*l**2/7 + 790*l/7 - 72/7 = 0.
-36, -1/4, 1/13, 1
Factor p**3/4 - 11*p**2/4 - p + 11.
(p - 11)*(p - 2)*(p + 2)/4
Let -b**4/8 - 7*b**3/8 - 9*b**2/4 - 5*b/2 - 1 = 0. What is b?
-2, -1
Factor -4*t**3 - 88*t**2 - 304*t - 288.
-4*(t + 2)**2*(t + 18)
Determine n, given that 2*n**2/5 + 54*n/5 + 52/5 = 0.
-26, -1
Factor 4*y**4 + 572*y**3 - 4*y**2 - 572*y.
4*y*(y - 1)*(y + 1)*(y + 143)
Let 165*m**5/4 + 2005*m**4/4 + 2105*m**3/4 + 155*m**2/4 - 55*m/2 = 0. Calculate m.
-11, -1, -1/3, 0, 2/11
Solve 180*z**3 + 840*z**2 + 425*z - 1445 = 0.
-17/6, 1
Suppose 6*b**4/19 + 194*b**3/19 + 60*b**2/19 - 128*b/19 = 0. What is b?
-32, -1, 0, 2/3
Suppose -43923*q**5/7 + 91839*q**4/7 - 67518*q**3/7 + 23166*q**2/7 - 3807*q/7 + 243/7 = 0. Calculate q.
3/11, 1
Solve 2*m**3 + 20*m**2 + 34*m + 16 = 0 for m.
-8, -1
Find j such that 6*j**3 + 879*j**2 - 441*j = 0.
-147, 0, 1/2
Factor 3*l**3 - 6*l**2 - 9*l.
3*l*(l - 3)*(l + 1)
Factor -3*v**2/5 - 369*v/5 - 726/5.
-3*(v + 2)*(v + 121)/5
Let -3*n**3/5 - 33*n**2/5 - 6*n = 0. Calculate n.
-10, -1, 0
Solve f**2 - 12*f - 45 = 0 for f.
-3, 15
Factor -2*q**2 + 24*q - 54.
-2*(q - 9)*(q - 3)
Factor -p**3/5 - 57*p**2/5 - 936*p/5 - 676.
-(p + 5)*(p + 26)**2/5
Let -5*c**2/2 + 515*c - 53045/2 = 0. What is c?
103
Solve x**4 - 11*x**3/4 + 5*x**2/4 + x/2 = 0.
-1/4, 0, 1, 2
Solve n**5/8 - 2*n**4 + 15*n**3/2 + 8*n**2 - 32*n = 0 for n.
-2, 0, 2, 8
What is g in 2*g**4/7 + 10*g**3/7 - 6*g**2/7 - 90*g/7 - 108/7 = 0?
-3, -2, 3
Determine x so that -4*x**5 + 35*x**4 - 95*x**3 + 70*x**2 + 24*x = 0.
-1/4, 0, 2, 3, 4
Factor -w**4 - 7*w**3 - 6*w**2 + 32*w + 32.
-(w - 2)*(w + 1)*(w + 4)**2
Determine i so that -i**5/6 + 37*i**4/6 - 197*i**3/3 + 485*i**2/3 - 901*i/6 + 289/6 = 0.
1, 17
Factor -5*r**3 - 80*r**2.
-5*r**2*(r + 16)
Factor -9*i**2 - 95*i - 50.
-(i + 10)*(9*i + 5)
What is h in -14*h**4/3 - 4*h**3 + 14*h**2/3 + 4*h = 0?
-1, -6/7, 0, 1
Determine f so that 2*f**3 + 40*f**2 + 38*f = 0.
-19, -1, 0
Let 4*i**3/3 + 8*i**2/3 - 4*i = 0. Calculate i.
-3, 0, 1
Suppose -8*j**3 - 20526*j**2 - 13163580*j + 3292178 = 0. Calculate j.
-1283, 1/4
Factor s**2/2 + 3*s + 9/2.
(s + 3)**2/2
Determine b so that 5*b**5 - 30*b**4 + 65*b**3 - 60*b**2 + 20*b = 0.
0, 1, 2
Factor -2*o**2/9 + 112*o/9 - 1568/9.
-2*(o - 28)**2/9
Find f such that 355914*f**5/17 + 501930*f**4/17 + 155844*f**3/17 + 10068*f**2/17 + 242*f/17 + 2/17 = 0.
-1, -1/3, -1/39
Factor -5*d**4 + 15*d**3 + 225*d**2 - 875*d.
-5*d*(d - 5)**2*(d + 7)
Factor -g**2/9 - g - 8/9.
-(g + 1)*(g + 8)/9
Factor t**3 - 676*t**2 + 1349*t - 674.
(t - 674)*(t - 1)**2
Let 3*y**5 + 9*y**4 - 12*y**3 = 0. What is y?
-4, 0, 1
Factor -6*t**2/7 + 26*t/7 + 60/7.
-2*(t - 6)*(3*t + 5)/7
Let v**4/2 + 22*v**3 - 46*v**2 = 0. What is v?
-46, 0, 2
Suppose 3*j**3/4 - 1203*j**2/4 + 300*j = 0. What is j?
0, 1, 400
Let -3*p**5 + 209*p**4/7 + 1538*p**3/7 + 916*p**2/7 - 296*p + 480/7 = 0. Calculate p.
-4, -2, 2/7, 2/3, 15
Factor -y**5 - 4*y**4 + 5*y**3.
-y**3*(y - 1)*(y + 5)
Determine f, given that f**5 - 1629*f**4 + 664223*f**3 - 660967*f**2 - 664224*f + 662596 = 0.
-1, 1, 814
Let -2*b**2/11 + 8*b = 0. What is b?
0, 44
Solve -4*k**4 - 164*k**3 - 948*k**2 + 164*k + 952 = 0 for k.
-34, -7, -1, 1
Find n, given that -12*n**5/5 - 4*n**4 - 4*n**3/5 + 4*n**2/5 = 0.
-1, 0, 1/3
Let 2*x**2/7 + 16*x/7 - 418/7 = 0. What is x?
-19, 11
Determine l so that -l**2/3 + 26*l/3 + 9 = 0.
-1, 27
Factor -3*d**2/5 - 621*d/5 + 1254/5.
-3*(d - 2)*(d + 209)/5
Determine i so that -2*i**3/13 - 18*i**2 - 702*i - 9126 = 0.
-39
Factor -2*n**4/15 + 92*n**3/3 - 26906*n**2/15 + 3496*n - 8664/5.
-2*(n - 114)**2*(n - 1)**2/15
Find x such that 2*x**5/13 - 2*x**4 + 122*x**3/13 - 254*x**2/13 + 236*x/13 - 80/13 = 0.
1, 2, 4, 5
Solve 5*l**3 + 40*l**2 + 75*l = 0.
-5, -3, 0
Factor 3*g**2 + 7338*g + 4487187.
3*(g + 1223)**2
Factor o**2/3 + 58*o + 680/3.
(o + 4)*(o + 170)/3
Suppose -5*z**3 - 10*z**2 + 2105*z - 2090 = 0. What is z?
-22, 1, 19
Factor -217083*t**2 + 8070*t - 75.
-3*(269*t - 5)**2
Factor 3*p**4 - 39*p**3 + 69*p**2 - 33*p.
3*p*(p - 11)*(p - 1)**2
Let 2*l**5/3 + 88*l**4/3 + 28*l**3 - 22040*l**2/3 + 21866*l/3 = 0. What is l?
-29, 0, 1, 13
Determine k so that -k**5/3 - 4*k**4/3 = 0.
-4, 0
What is d in 2*d**2/3 + 29396*d/3 + 108015602/3 = 0?
-7349
What is w in -2*w**2 + 18*w + 44 = 0?
-2, 11
Suppose 3*c**3 - 3*c**2 - 1224*c + 9936 = 0. What is c?
-23, 12
What is d in 4*d**3 - 48*d**2 + 108*d = 0?
0, 3, 9
Factor 3*s**2 + 1296*s + 139968.
3*(s + 216)**2
Factor c**3/5 - 19*c**2/5 + 7*c - 17/5.
(c - 17)*(c - 1)**2/5
Let 3*p**5/5 - 18*p**4/5 + 66*p**2/5 + 9*p = 0. What is p?
-1, 0, 3, 5
Factor 5*i**4 + 275*i**3 - 1480*i**2 + 1200*i.
5*i*(i - 4)*(i - 1)*(i + 60)
Factor -294849*g**2 + 4344*g - 16.
-(543*g - 4)**2
Factor d**3/4 - 3*d**2 - 27*d/4 - 7/2.
(d - 14)*(d + 1)**2/4
Factor 4*u**2/5 + 8*u.
4*u*(u + 10)/5
Factor -t**4 - 33*t**3 - 120*t**2 - 116*t.
-t*(t + 2)**2*(t + 29)
Find p, given that -3*p**3 + 3*p = 0.
-1, 0, 1
Solve -3*k**2/2 - 75*k/2 + 39 = 0 for k.
-26, 1
Factor z**2 - 16*z - 17.
(z - 17)*(z + 1)
Factor -5*w**3 + 15*w**2 + 50*w.
-5*w*(w - 5)*(w + 2)
Solve -5*v**5 + 5*v**4 + 960*v**3 + 4160*v**2 - 5120*v = 0.
-8, 0, 1, 16
Factor -3*g**2/4 - 9*g/2 - 6.
-3*(g + 2)*(g + 4)/4
Factor 335*v**2 + 315*v - 20.
5*(v + 1)*(67*v - 4)
Determine u, given that -4*u**5 - 79*u**4 - 272*u**3 - 323*u**2 - 126*u = 0.
-63/4, -2, -1, 0
Suppose 3*n**2 - 258*n + 1215 = 0. Calculate n.
5, 81
Determine s, given that -2*s**2/7 - 6*s/7 - 4/7 = 0.
-2, -1
Find i such that 5*i**3 + 2430*i**2 + 393660*i + 21257640 = 0.
-162
Factor -a**2 + 43*a - 42.
-(a - 42)*(a - 1)
Factor -y**3 + 7*y**2 + 10*y - 16.
-(y - 8)*(y - 1)*(y + 2)
Determine o so that 3*o**5 - 33*o**4 - 45*o**3 + 105*o**2 + 42*o - 72 = 0.
-2, -1, 1, 12
Factor 4*b**4 - 32*b**3 - 140*b**2 + 1176*b.
4*b*(b - 7)**2*(b + 6)
Find b, given that -b**5/2 + 13*b**4/4 + 6*b**3 - 215*b**2/4 + 25*b = 0.
-4, 0, 1/2, 5
Determine z, given that 2*z**3/9 - 2222*z**2/9 + 206090*z/3 - 68450 = 0.
1, 555
Factor -2*p**3/3 + 88*p**2/3.
-2*p**2*(p - 44)/3
What is w in 5*w**2 + 23*w/4 = 0?
-23/20, 0
Suppose -2*r**2/7 - 44*r/7 - 192/7 = 0. Calculate r.
-16, -6
Determine s so that 4*s**5/5 + 284*s**4/5 - 488*s**3 + 6856*s**2/5 - 7548*s/5 + 2844/5 = 0.
-79, 1, 3
Determine z, given that -2*z**5/5 - 2*z**4 + 82*z**3/5 - 166*z**2/5 + 136*z/5 - 8 = 0.
-10, 1, 2
Find j such that -5*j**2 + 4650*j - 1081125 = 0.
465
Find u, given that u**3/4 + 11*u**2/2 + 10*u = 0.
-20, -2, 0
Factor 3*z**4 - 21*z**3 - 3*z**2 + 21*z.
3*z*(z - 7)*(z - 1)*(z + 1)
Factor -4*t**2 - 180*t + 1696.
-4*(t - 8)*(t + 53)
Factor 5*o**4 - 1125*o**3 - 1130*o**2.
5*o**2*(o - 226)*(o + 1)
Factor 4*o**3 - 96*o**2 + 432*o.
4*o*(o - 18)*(o - 6)
Let 5*h**2 + 450*h + 1720 = 0. Calculate h.
-86, -4
Factor -3*h**3 - 270*h**2 - 2475*h - 6000.
-3*(h + 5)**2*(h + 80)
Find c, given that c**2/5 - 232*c/5 + 13456/5 = 0.
116
Find s, given that 4*s**4 + 4*s**3 - 28*s**2 - 4*s + 24 = 0.
-3, -1, 1, 2
Factor 2*n**4/7 + 122*n**3/7 - 250*n**2/7 + 18*n.
2*n*(n - 1)**2*(n + 63)/7
Suppose -4*x**5/3 + 4*x**4 + 100*x**3/3 - 172*x**2/3 - 192*x - 320/3 = 0. What is x?
-4, -1, 4, 5
Find v such that -6*v**5/11 - 80*v**4/11 - 74*v**3/11 + 296*v**2/11 + 392*v/11 + 96/11 = 0.
-12, -2, -1, -1/3, 2
Suppose -10*c**5/3 - 652*c**4/21 - 1180*c**