 g.
-27, -2, 2
Suppose -g**2/2 + 2*g + 6 = 0. Calculate g.
-2, 6
Solve -z**2/2 - 109*z - 11881/2 = 0.
-109
Let -18*x**4/17 - 454*x**3/17 - 3494*x**2/17 - 7898*x/17 - 4840/17 = 0. What is x?
-11, -20/9, -1
Suppose -5*j**5 + 5*j**4 + 10*j**3 - 10*j**2 - 5*j + 5 = 0. Calculate j.
-1, 1
Suppose -484*b**5 + 4348*b**4 + 10720*b**3 + 176*b**2 = 0. What is b?
-2, -2/121, 0, 11
Factor 16*x**2 + 130*x - 69.
(2*x - 1)*(8*x + 69)
Determine a, given that -15*a**5 + 245*a**4 - 1030*a**3 + 160*a**2 + 640*a = 0.
-2/3, 0, 1, 8
Suppose s**5/5 + 167*s**4/5 - 338*s**3/5 + 2*s**2/5 + 337*s/5 - 169/5 = 0. Calculate s.
-169, -1, 1
Solve 5*s**2 + 20*s = 0 for s.
-4, 0
What is d in -5*d**5 - 45*d**4 - 55*d**3 + 305*d**2 + 300*d - 500 = 0?
-5, -2, 1, 2
Suppose 5*z**2 + 10110*z + 5110605 = 0. Calculate z.
-1011
Factor -5*r**4 - 40*r**3 + 15*r**2 + 130*r + 80.
-5*(r - 2)*(r + 1)**2*(r + 8)
Factor -24*l**5/7 - 22*l**4/7 - 4*l**3/7.
-2*l**3*(3*l + 2)*(4*l + 1)/7
Factor -3*g**5 - 15*g**4 + 39*g**3 - 21*g**2.
-3*g**2*(g - 1)**2*(g + 7)
Suppose -q**5/3 - 50*q**4/3 - 189*q**3 + 1606*q**2/3 + 3068*q/3 - 1352 = 0. What is q?
-26, -2, 1, 3
Factor 4*j**3/5 + 12*j**2 + 48*j/5 - 112/5.
4*(j - 1)*(j + 2)*(j + 14)/5
Let -110*z**2 - 2215*z - 300 = 0. Calculate z.
-20, -3/22
Factor -2*n**3/9 + 2068*n**2/9 - 4130*n/9 + 688/3.
-2*(n - 1032)*(n - 1)**2/9
Factor -d**4/3 + 671*d**3/3 - 50175*d**2 + 11387941*d/3 - 22179134/3.
-(d - 223)**3*(d - 2)/3
Factor -10*s**3 - 1898*s**2 - 7568*s/5 - 1512/5.
-2*(s + 189)*(5*s + 2)**2/5
What is k in 2*k**4/19 + 92*k**3/19 + 888*k**2/19 + 2448*k/19 = 0?
-34, -6, 0
Solve 12*q**2 - 20*q - 8 = 0.
-1/3, 2
Let 17*x**3/5 - 33*x**2/5 + 3*x + 1/5 = 0. Calculate x.
-1/17, 1
Find y, given that 2*y**3 + 508*y**2 - 510*y = 0.
-255, 0, 1
Let 10*p**4 - 15*p**3 - 15*p**2 + 10*p = 0. What is p?
-1, 0, 1/2, 2
Solve 2*k**5 - 12*k**4 - 86*k**3 + 32*k**2 + 264*k + 160 = 0.
-4, -1, 2, 10
Find x such that -3*x**2 + 159*x = 0.
0, 53
Suppose 3*w**3 - 3909*w**2 - 3912*w = 0. Calculate w.
-1, 0, 1304
Find k such that -2*k**4/11 + 24*k**3/11 - 54*k**2/11 - 136*k/11 + 168/11 = 0.
-2, 1, 6, 7
Factor -l**3/4 - 2*l**2 + 11*l - 12.
-(l - 2)**2*(l + 12)/4
Factor 4*u**2/3 + 92*u/3.
4*u*(u + 23)/3
Solve -b**2/11 + 22*b - 241/11 = 0.
1, 241
Factor 3*f**2 + 60*f + 108.
3*(f + 2)*(f + 18)
Factor -y**4/4 + 525*y**3/4 - 17292*y**2 + 17161*y.
-y*(y - 262)**2*(y - 1)/4
Determine a, given that -3*a**2 + 762*a + 1536 = 0.
-2, 256
Determine d, given that 2*d**3/3 + 44*d**2/3 + 38*d/3 - 28 = 0.
-21, -2, 1
Find f such that -5*f**3 + 835*f**2 = 0.
0, 167
Let -3*k**3 + 213*k**2 - 1002*k + 792 = 0. What is k?
1, 4, 66
Find l such that 3*l**3/7 - 2*l**2/7 - 12*l/7 + 8/7 = 0.
-2, 2/3, 2
Solve -4*s**2 + 144*s + 148 = 0.
-1, 37
Suppose -3*b**3/4 + 6*b**2 + 207*b/4 - 189 = 0. Calculate b.
-7, 3, 12
Let 3*j**5/2 + 6*j**4 - 6*j**3 - 33*j**2 + 9*j/2 + 27 = 0. Calculate j.
-3, -1, 1, 2
Solve 2*z**4/3 - 4*z**3 - 6*z**2 + 28*z/3 = 0 for z.
-2, 0, 1, 7
Find v, given that v**2/10 + 133*v/10 - 27 = 0.
-135, 2
What is o in -o**2 + 152*o + 465 = 0?
-3, 155
Factor -4*f**3/5 + 556*f**2/5 + 1704*f/5.
-4*f*(f - 142)*(f + 3)/5
Factor -2*p**5/9 - 10*p**4/3 - 6*p**3 - 26*p**2/9.
-2*p**2*(p + 1)**2*(p + 13)/9
Factor -o**3/4 + 11*o**2 - 41*o/4 - 43/2.
-(o - 43)*(o - 2)*(o + 1)/4
Factor -g**2/5 + 262*g/5 - 104.
-(g - 260)*(g - 2)/5
Let -3*g**2/2 - 2325*g/2 + 1164 = 0. Calculate g.
-776, 1
Solve -2*x**3/5 + 36*x**2 - 4386*x/5 + 14792/5 = 0.
4, 43
Factor 5*c**3/4 - 165*c**2/2 + 645*c/4 + 46225.
5*(c - 43)**2*(c + 20)/4
Factor 2*b**5 + 3*b**4 - 11*b**3 - 6*b**2.
b**2*(b - 2)*(b + 3)*(2*b + 1)
Find t, given that 5*t**2 + 25*t - 70 = 0.
-7, 2
Factor h**2/9 - 14*h/9.
h*(h - 14)/9
Factor v**2 + 11*v - 12.
(v - 1)*(v + 12)
Determine m, given that 5*m**2 + 20*m - 25 = 0.
-5, 1
Let -21*g**5/5 + 1989*g**4/5 + 2607*g**3/5 - 1413*g**2/5 - 2586*g/5 - 576/5 = 0. Calculate g.
-1, -2/7, 1, 96
Factor p**2/4 - 5*p/2 + 21/4.
(p - 7)*(p - 3)/4
Factor -j**2/3 - 23*j/3 + 36.
-(j - 4)*(j + 27)/3
Factor 32*p**3 - 1360*p**2 - 2094*p - 792.
2*(p - 44)*(4*p + 3)**2
Let y**5/2 + 173*y**4/2 - 87*y**3 = 0. What is y?
-174, 0, 1
Determine n so that n**2/2 - 57*n - 115/2 = 0.
-1, 115
Find w, given that w**2/11 - 24*w/11 + 4 = 0.
2, 22
Solve 4*y**4 + 12*y**3 + 4*y**2 - 12*y - 8 = 0 for y.
-2, -1, 1
Factor 3*p**4 - 45*p**3 + 204*p**2 - 180*p - 432.
3*(p - 6)**2*(p - 4)*(p + 1)
Suppose 4*h**4 - 176*h**3 + 620*h**2 + 800*h = 0. Calculate h.
-1, 0, 5, 40
Let 4*p**5 + 220*p**4 - 240*p**3 - 880*p**2 + 896*p = 0. What is p?
-56, -2, 0, 1, 2
Factor -3*j**4/5 + 456*j**3/5 - 270*j**2 + 1344*j/5 - 447/5.
-3*(j - 149)*(j - 1)**3/5
Find n such that 14*n**4 - 696*n**3 - 1642*n**2 - 1140*n - 208 = 0.
-1, -2/7, 52
Find h, given that -3*h**2 + 867*h + 2628 = 0.
-3, 292
Factor -5*p**4 + 520*p**3 - 11870*p**2 - 85800*p - 136125.
-5*(p - 55)**2*(p + 3)**2
Suppose -d**3/5 + 14*d**2/5 + 51*d - 720 = 0. Calculate d.
-16, 15
Determine q so that -3*q**2 - 3*q + 216 = 0.
-9, 8
Suppose -9*g**2 - 39*g/2 - 21/2 = 0. Calculate g.
-7/6, -1
Determine n, given that n**3/6 + n**2/2 - 3*n - 20/3 = 0.
-5, -2, 4
Factor -5*p**2 + 27060*p - 36612180.
-5*(p - 2706)**2
What is z in 4*z**2 - 124*z + 912 = 0?
12, 19
Factor l**3/3 + 38*l**2/9 - 20*l/3 - 56/9.
(l - 2)*(l + 14)*(3*l + 2)/9
Factor y**3/4 - 3*y**2/4 + 3*y/4 - 1/4.
(y - 1)**3/4
Find x such that -4*x**5 + 4*x**4 + 8*x**3 - 8*x**2 - 4*x + 4 = 0.
-1, 1
Solve 81*a**3 + 19989*a**2 - 4445*a + 247 = 0.
-247, 1/9
Factor 75*f**3 + 155*f**2 + 85*f + 5.
5*(f + 1)**2*(15*f + 1)
Find y, given that 5*y**2 - 2630*y + 345845 = 0.
263
Suppose -2*j**3/9 + 82*j**2/9 + 532*j/9 - 368 = 0. Calculate j.
-9, 4, 46
Factor -j**2/7 - 217*j - 1518/7.
-(j + 1)*(j + 1518)/7
Factor 3*d**4/5 - 3*d**3/5 - 9*d**2 + 27*d/5 + 162/5.
3*(d - 3)**2*(d + 2)*(d + 3)/5
Factor 5*x**4 - 3020*x**3 + 459030*x**2 - 909020*x + 453005.
5*(x - 301)**2*(x - 1)**2
Factor w**4/9 - 86*w**3/9 + 308*w**2/3 - 296*w.
w*(w - 74)*(w - 6)**2/9
Solve -7*x**5 - 41*x**4/5 + 177*x**3/5 - 67*x**2/5 - 58*x/5 + 24/5 = 0 for x.
-3, -4/7, 2/5, 1
Factor -4*l**2/3 - 11*l/3 + 1.
-(l + 3)*(4*l - 1)/3
Factor f**2/3 + 152*f/3 + 5776/3.
(f + 76)**2/3
Solve -z**3/6 + 33*z**2 = 0.
0, 198
Determine w so that -8*w**3 + 164*w**2/5 - 208*w/5 + 84/5 = 0.
1, 21/10
Factor u**2/3 + 73*u/3 + 340/3.
(u + 5)*(u + 68)/3
Factor 2*i**3/3 + 685*i**2/6 + 57*i/2.
i*(i + 171)*(4*i + 1)/6
Let 20*a**3 - 1975*a**2 + 12385*a + 3220 = 0. Calculate a.
-1/4, 7, 92
Let -16*w**5 + 40*w**4 + 95*w**3 + 10*w**2 - 25*w + 4 = 0. Calculate w.
-1, 1/4, 4
Suppose 5*f**2 + 335*f + 4250 = 0. What is f?
-50, -17
Factor 2*g**3/5 + 58*g**2/5 - 258*g/5 + 198/5.
2*(g - 3)*(g - 1)*(g + 33)/5
Factor 3*c**4/7 - 15*c**3/7 - 9*c**2/7 + 51*c/7 - 30/7.
3*(c - 5)*(c - 1)**2*(c + 2)/7
Factor 4*m**5 + 48*m**4 + 144*m**3 + 128*m**2.
4*m**2*(m + 2)**2*(m + 8)
Factor -k**2 - 59*k - 114.
-(k + 2)*(k + 57)
Let 3*l**2 + 222*l + 4107 = 0. What is l?
-37
Factor 2*j**4 - 18*j**3 - 66*j**2 - 70*j - 24.
2*(j - 12)*(j + 1)**3
Factor -2*k**5 - 40*k**4.
-2*k**4*(k + 20)
Solve 2*v**4 + 52*v**3 + 48*v**2 - 52*v - 50 = 0 for v.
-25, -1, 1
Factor 2*f**4 + 384*f**3 + 20924*f**2 + 239232*f + 776258.
2*(f + 7)**2*(f + 89)**2
Solve 5*z**2 - 1225*z + 10620 = 0 for z.
9, 236
Factor -4*g**5 + 52*g**4 - 184*g**3 + 176*g**2 + 160*g - 256.
-4*(g - 8)*(g - 2)**3*(g + 1)
Solve -2*w**3/13 + 106*w**2/13 - 304*w/13 + 200/13 = 0.
1, 2, 50
Factor 2*y**2/9 + 2648*y/3 + 7942/9.
2*(y + 1)*(y + 3971)/9
Solve -20*j**4 + 245*j**3 - 640*j**2 + 505*j - 90 = 0 for j.
1/4, 1, 2, 9
Factor q**2/3 - 486*q + 177147.
(q - 729)**2/3
Factor -2*w**2/13 - 386*w/13 + 388/13.
-2*(w - 1)*(w + 194)/13
Solve -o**2/8 + 1493*o/2 - 2229049/2 = 0.
2986
Suppose -v**3/7 - 3*v**2/7 + 9*v/7 + 27/7 = 0. Calculate v.
-3, 3
Factor -u**3/6 + 265*u**2/6 - 17947*u/6 + 17161/2.
-(u - 131)**2*(u - 3)/6
Factor 26569*a**2/2 - 4890*a + 450.
(163*a - 30)**2/2
Factor -3*u**2/5 - 237*u/5 - 180.
-3*(u + 4)*(u + 75)/5
Factor 3*h**4 - 294*h**3 - 303*h**2 + 594*h.
3*h*(h - 99)*(h - 1)*(h + 2)
Factor 5*g**2 - 2010*g.
5*g*(g - 402)
Factor 2*v**3/7 + 36*v**2/7 - 270*v/7 - 5400/7.
2*(v - 12)*(v + 15)**2/7
Factor 2*x**3 - 102*x**2 - 912*x - 1888.
2*(x - 59)*(x + 4)**2
What is o in -o**3/2 + 11*o**2 - 59*o/2 + 19 = 0?
1, 2, 19
Suppose 2*x**2 - 154*x + 584 =