67)
Solve 2*x**4 - 122*x**3 + 670*x**2 - 550*x = 0 for x.
0, 1, 5, 55
Find p such that -10*p**4/9 - 6814*p**3/9 + 73516*p**2/9 + 113536*p/9 + 11072/3 = 0.
-692, -1, -2/5, 12
Factor 275*a**3 + 12340*a**2 + 10525*a - 1540.
5*(a + 1)*(a + 44)*(55*a - 7)
Factor -2*w**4/11 - 6276*w**3/11 + 12560*w**2/11.
-2*w**2*(w - 2)*(w + 3140)/11
Determine v, given that 5*v**2 + 1190*v + 3525 = 0.
-235, -3
Factor 2*l**3/19 - 1266*l**2/19 + 52920*l/19.
2*l*(l - 588)*(l - 45)/19
Factor -3*o**3/4 + 69*o**2/2 + 492*o - 4032.
-3*(o - 56)*(o - 6)*(o + 16)/4
Factor 2*v**3 - 4010*v**2 + 204464*v - 2640456.
2*(v - 1953)*(v - 26)**2
Find k, given that 3*k**2 - 317385*k - 952182 = 0.
-3, 105798
Suppose -g**3 + 102*g**2 - 2600*g = 0. Calculate g.
0, 50, 52
Determine l so that -3*l**3 - 17607*l**2 + 70464*l - 70476 = 0.
-5873, 2
Factor 5*u**3 + 155*u**2 + 1440*u + 3600.
5*(u + 4)*(u + 12)*(u + 15)
Let -x**2/2 - 33736*x - 67471/2 = 0. What is x?
-67471, -1
Find k such that -3*k**5 - 217*k**4 - 4368*k**3 - 16120*k**2 - 18768*k - 4624 = 0.
-34, -2, -1/3
Solve -4*g**4/5 - 837*g**3/5 - 6973*g**2 + 979032*g/5 + 246924/5 = 0 for g.
-114, -1/4, 19
Find w, given that 2*w**5/9 - 4*w**4/3 - 58*w**3/9 + 44*w**2 - 664*w/9 + 112/3 = 0.
-6, 1, 2, 7
Factor 5*n**3 - 435*n**2 - 1340*n - 900.
5*(n - 90)*(n + 1)*(n + 2)
Factor -3*d**3/2 - 474*d**2 + 9930*d - 50400.
-3*(d - 10)**2*(d + 336)/2
Let -2*g**4 + 102*g**3 + 4746*g**2 + 9178*g + 4536 = 0. Calculate g.
-28, -1, 81
Factor 4*f**2/3 - 42196*f/3 + 84376/3.
4*(f - 10547)*(f - 2)/3
Factor -s**2/5 - 2064808*s/5 - 1065858019216/5.
-(s + 1032404)**2/5
What is y in -y**4/8 - 8*y**3 + 327*y**2/8 + 1895*y/4 + 425 = 0?
-68, -5, -1, 10
Let -45*u**4/4 - 21*u**3/2 + 723*u**2/4 - 237*u + 15 = 0. What is u?
-5, 1/15, 2
Determine f, given that 10*f**3/7 - 68834*f**2/7 - 938048*f/7 + 55176 = 0.
-14, 2/5, 6897
Factor -i**3/2 + 5235*i**2/2 - 10467*i/2 + 5233/2.
-(i - 5233)*(i - 1)**2/2
Suppose -2*i**2 - 37262*i - 111768 = 0. What is i?
-18628, -3
Factor -c**3/3 - 6746*c**2/3 - 107695*c/3 - 33650.
-(c + 1)*(c + 15)*(c + 6730)/3
Suppose -2*l**2 - 410*l - 6732 = 0. What is l?
-187, -18
Solve 5*a**5 + 10*a**4 - 285*a**3 + 270*a**2 = 0.
-9, 0, 1, 6
What is w in -10*w**4 - 12715*w**3 - 5388545*w**2 - 762021545*w - 379665225 = 0?
-433, -405, -1/2
Factor -3*w**2 - 6930*w - 1277448.
-3*(w + 202)*(w + 2108)
Factor -2*f**3/15 + 22*f**2/15 + 248*f/3.
-2*f*(f - 31)*(f + 20)/15
Solve -28*c**3 - 101704*c**2 + 174448*c + 58144 = 0 for c.
-3634, -2/7, 2
Solve -2*y**3 + 1166*y**2 - 4632*y = 0 for y.
0, 4, 579
Determine b, given that -2*b**5 - 640*b**4 - 66000*b**3 - 1936000*b**2 + 26620000*b = 0.
-110, 0, 10
Suppose -4*l**4 - 272*l**3 - 5236*l**2 - 20808*l - 15840 = 0. Calculate l.
-33, -30, -4, -1
Factor -3*g**2/2 + 7353*g - 18022203/2.
-3*(g - 2451)**2/2
What is n in -2*n**2 + 2870*n + 182512 = 0?
-61, 1496
Solve -2*m**3 - 498*m**2 - 30240*m + 95256 = 0 for m.
-126, 3
Solve 3*z**5/2 + 222*z**4 + 10038*z**3 + 129792*z**2 + 221184*z = 0 for z.
-64, -18, -2, 0
Factor 3*f**2/8 + 2500353*f/4 + 2083921708203/8.
3*(f + 833451)**2/8
Solve 2*m**5 + 884*m**4 - 6274*m**3 + 5444*m**2 + 25064*m - 35920 = 0 for m.
-449, -2, 2, 5
Factor -3*s**2 - 1023900*s - 87364267500.
-3*(s + 170650)**2
Factor 2302045184*z**4 - 6925905024*z**3 + 59365008*z**2 - 169830*z + 162.
2*(z - 3)*(1048*z - 3)**3
What is h in -5*h**2 - 97270*h + 1655035 = 0?
-19471, 17
Factor 2*z**2/5 + 834*z/5.
2*z*(z + 417)/5
Let 2*d**2/13 - 2580*d/13 + 43282/13 = 0. What is d?
17, 1273
Factor -3*s**2/5 - 483093*s/5 + 1449306/5.
-3*(s - 3)*(s + 161034)/5
Solve -3*p**2 - 225*p + 56700 = 0.
-180, 105
Factor -d**3 - 202304*d**2 + 404611*d - 202306.
-(d - 1)**2*(d + 202306)
Find d, given that -4*d**3 + 320*d**2 - 3836*d - 4160 = 0.
-1, 16, 65
Find r such that -r**2/3 - 133*r/3 + 230 = 0.
-138, 5
Let 2*w**4 + 133*w**3/2 + 589*w**2 + 1120*w - 1200 = 0. Calculate w.
-20, -10, -4, 3/4
Find n such that -8*n**5/17 - 8418*n**4/17 + 151328*n**3/17 - 654138*n**2/17 + 751356*n/17 + 231120/17 = 0.
-1070, -1/4, 3, 12
Factor 3*s**3 + 2612*s**2/3 + 58036*s/3 + 4256.
(s + 24)*(s + 266)*(9*s + 2)/3
Solve -2*s**5/15 + 1994*s**4/15 - 165986*s**3/5 + 151362*s**2/5 + 3501936*s/5 - 1488024 = 0 for s.
-5, 3, 498
Factor -5*m**4 + 109755*m**3 - 803077335*m**2 + 1958705620065*m.
-5*m*(m - 7317)**3
Find d, given that -3*d**5/7 - 639*d**4/7 - 52650*d**3/7 - 2077650*d**2/7 - 38545875*d/7 - 36905625 = 0.
-63, -45, -15
Factor 2*r**4/11 - 1770*r**3 + 38934*r**2/11 - 19466*r/11.
2*r*(r - 9733)*(r - 1)**2/11
Factor -p**3 - 159*p**2 - 3839*p + 3999.
-(p - 1)*(p + 31)*(p + 129)
Let -d**3 + 1583*d**2 + 14320*d + 12736 = 0. Calculate d.
-8, -1, 1592
Suppose -2*h**4/11 + 1164*h**3/11 - 171656*h**2/11 + 662388*h/11 + 835210/11 = 0. Calculate h.
-1, 5, 289
Let 2*q**2/11 - 27598*q/11 - 27600/11 = 0. Calculate q.
-1, 13800
Factor -2*z**2 + 2290*z + 4588.
-2*(z - 1147)*(z + 2)
Let -d**2/2 - 5499*d/2 - 2749 = 0. What is d?
-5498, -1
What is q in -39*q**4 - 495*q**3 - 285*q**2 + 495*q + 324 = 0?
-12, -1, -9/13, 1
Suppose 4*b**3 - 920*b**2 + 748*b + 38472 = 0. Calculate b.
-6, 7, 229
Factor 2*f**4 + 14712*f**3 + 26952188*f**2 - 379496040*f + 1330764050.
2*(f - 7)**2*(f + 3685)**2
Factor o**5/8 + 1203*o**4/8 + 241201*o**3/4 + 32239999*o**2/4 - 482403*o/8 - 64481201/8.
(o - 1)*(o + 1)*(o + 401)**3/8
Suppose 21*l**5 + 4080*l**4 + 42261*l**3 - 202206*l**2 + 169452*l + 65880 = 0. Calculate l.
-183, -15, -2/7, 2
Factor 20*q**2 - 123385*q + 30845.
5*(q - 6169)*(4*q - 1)
Solve 8*v**3 + 388*v**2 - 2400*v - 1296 = 0 for v.
-54, -1/2, 6
Let -t**2/8 - 533*t/8 - 1179/2 = 0. What is t?
-524, -9
Factor w**4/2 + 871*w**3/2 + 3886*w**2 + 6034*w.
w*(w + 2)*(w + 7)*(w + 862)/2
Suppose g**3 + 94*g**2 + 273*g = 0. What is g?
-91, -3, 0
Suppose -2*u**4 - 128*u**3 - 1654*u**2 + 128*u + 1656 = 0. Calculate u.
-46, -18, -1, 1
Suppose -3*l**5 + 6606*l**4 - 4759764*l**3 + 1054368090*l**2 + 48970311831*l - 50019926760 = 0. What is l?
-40, 1, 747
Factor 2*l**2/11 - 1104*l/11 - 465920/11.
2*(l - 832)*(l + 280)/11
Determine t so that 18038*t**4/13 + 15666*t**3/13 - 2388*t**2/13 - 16*t/13 = 0.
-1, -2/311, 0, 4/29
Factor -r**2/2 + 106332*r + 425336.
-(r - 212668)*(r + 4)/2
Determine z, given that -5*z**3 + 495*z**2 + 13205*z + 12705 = 0.
-21, -1, 121
Factor 2555564*m**3 - 4139416*m**2 - 69232*m - 288.
4*(11*m - 18)*(241*m + 2)**2
What is t in 6*t**3/5 - 1622*t**2/5 + 8748*t - 2880 = 0?
1/3, 30, 240
Let -2*z**2/3 - 253864*z/3 - 8055866312/3 = 0. What is z?
-63466
Factor v**2 - 1428*v + 191700.
(v - 1278)*(v - 150)
Factor -4*w**2 + 32184*w - 1185332.
-4*(w - 8009)*(w - 37)
Find o such that -10*o**5/19 - 886*o**4/19 + 3126*o**3/19 - 218*o**2/19 - 164*o + 1104/19 = 0.
-92, -1, 2/5, 1, 3
Solve 4*y**2 - 3592*y - 3596 = 0.
-1, 899
Let d**3/3 + 581*d**2 + 252297*d - 762129 = 0. Calculate d.
-873, 3
Factor 36*d**2 + 1886*d/7 + 880/7.
2*(2*d + 1)*(63*d + 440)/7
Suppose -2*x**2/11 + 72440*x/11 - 655944200/11 = 0. What is x?
18110
Factor -1236*i**2 + 3710*i - 6.
-2*(i - 3)*(618*i - 1)
Factor -i**2 + 3047*i - 120280.
-(i - 3007)*(i - 40)
Determine o so that -22659*o**4 + 22668*o**3 + 181263*o**2 - 271980*o + 108 = 0.
-3, 3/7553, 2
Factor u**2/5 - 3814*u + 18183245.
(u - 9535)**2/5
Determine j so that 2*j**2/3 + 412*j - 10016/3 = 0.
-626, 8
Let 2*p**2/11 + 61632*p/11 + 61630/11 = 0. What is p?
-30815, -1
Solve 3*z**4 + 39*z**3 + 150*z**2 + 96*z - 288 = 0 for z.
-6, -4, 1
Determine k, given that -k**2/2 - 317*k/2 - 471 = 0.
-314, -3
Let 7*v**2/2 - 305*v/2 = 0. What is v?
0, 305/7
Determine d, given that -d**2/9 + 80*d - 5696/9 = 0.
8, 712
Solve 2*w**3 - 2588*w**2 + 839800*w - 1669264 = 0 for w.
2, 646
Let -j**5/12 - 2797*j**4/12 + 2800*j**3/3 - 2801*j**2/3 = 0. Calculate j.
-2801, 0, 2
Solve a**2 - 337*a + 1332 = 0.
4, 333
Solve -4*a**3 + 16*a**2 + 38804*a + 38784 = 0 for a.
-96, -1, 101
Determine y so that 2*y**5 - 602*y**4 + 44390*y**3 + 136802*y**2 + 138016*y + 46208 = 0.
-1, 152
Solve -v**4/2 + 6*v**3 - 3*v**2 - 26*v - 33/2 = 0.
-1, 3, 11
Factor -4*q**2 + 102648*q - 205280.
-4*(q - 25660)*(q - 2)
Solve 3*l**3 + 1104*l**2 + 105840*l + 777600 = 0.
-180, -8
Solve z**3/2 + 196*z**2 + 6375*z/2 = 0 for z.
-375, -17, 0
Factor -2*k**2 - 438*k + 2240.
-2*(k - 5)*(k + 224)
Find k, given that -k**3/2 + 2*k**2 + 39*k/2 - 63 = 