
-8, -1, 18
Suppose -a**2/5 + 2306036*a/5 - 1329450508324/5 = 0. Calculate a.
1153018
Factor -i**2/2 - 20878*i - 217945442.
-(i + 20878)**2/2
Determine k, given that -4*k**3 + 58796*k**2 + 176416*k + 117616 = 0.
-2, -1, 14702
Find z, given that -2*z**3/9 + 2644*z**2/3 + 23822*z/9 - 3528 = 0.
-4, 1, 3969
Factor -4*l**2 + 71240*l - 317196100.
-4*(l - 8905)**2
Solve 5*g**4 + 20*g**3 - 335*g**2 + 550*g = 0 for g.
-11, 0, 2, 5
Factor t**3/5 - 312*t**2/5 - 1269*t/5 + 316.
(t - 316)*(t - 1)*(t + 5)/5
What is c in 4*c**3/9 - 2120*c**2/9 - 236*c = 0?
-1, 0, 531
What is t in 2*t**2/3 + 1756*t/3 - 29632 = 0?
-926, 48
Suppose -s**5/4 + 79*s**4/4 + 168*s**3 + 514*s**2 + 692*s + 348 = 0. What is s?
-2, 87
Factor 5*p**2 - 193485*p.
5*p*(p - 38697)
Factor -p**2/5 + 151654*p/5 - 5749733929/5.
-(p - 75827)**2/5
Solve -16*y**5 + 22528*y**4 + 135756*y**3 - 16892*y**2 - 107440*y - 33936 = 0 for y.
-6, -1/2, 1, 1414
Let -5*j**3/3 + 3260*j**2/3 + 6535*j/3 + 1090 = 0. Calculate j.
-1, 654
Let o**2/5 + 67*o/5 + 1066/5 = 0. Calculate o.
-41, -26
Factor -164*d**2 - 1964*d + 48.
-4*(d + 12)*(41*d - 1)
Solve 2*h**3 - 4946*h**2/5 + 3532*h + 7856/5 = 0.
-2/5, 4, 491
Determine d so that 2*d**3 + 76924*d**2 + 739739640*d + 1479171600 = 0.
-19230, -2
Factor 2*r**2/9 + 250*r + 2248/9.
2*(r + 1)*(r + 1124)/9
Factor -62484*m**2/7 - 62476*m/7 + 8/7.
-4*(m + 1)*(15621*m - 2)/7
Factor -2*x**2 + 13426*x - 547104.
-2*(x - 6672)*(x - 41)
Factor -r**2/7 + 993*r/7 - 43562/7.
-(r - 947)*(r - 46)/7
Factor -4*r**2 - 25824*r - 309312.
-4*(r + 12)*(r + 6444)
Find p, given that -30*p**4 - 6262*p**3 + 20760*p**2 - 3416*p - 5088 = 0.
-212, -2/5, 2/3, 3
Suppose k**4/3 + 82*k**3/3 + 475*k**2 = 0. What is k?
-57, -25, 0
Solve -a**5/2 + 32*a**4 - 663*a**3/2 = 0.
0, 13, 51
Find s, given that s**2/5 + 756*s/5 - 761 = 0.
-761, 5
Factor 3*w**3 + 237*w**2 + 2445*w + 2211.
3*(w + 1)*(w + 11)*(w + 67)
Factor l**2/2 + 439*l/2 - 2245.
(l - 10)*(l + 449)/2
Determine j so that j**2/6 - 7979*j/6 + 15950/3 = 0.
4, 7975
Let 2*s**3 - 32*s**2 - 46*s + 204 = 0. What is s?
-3, 2, 17
Suppose 3*t**2/7 - 10476*t/7 + 10473/7 = 0. Calculate t.
1, 3491
Let 2*x**4 - 124*x**3 + 846*x**2 + 972*x = 0. Calculate x.
-1, 0, 9, 54
Solve 2*t**4/9 - 116*t**3/9 + 82*t**2/9 + 1856*t/9 - 608/3 = 0.
-4, 1, 4, 57
Factor 4*o**3 - 2552*o**2 + 426692*o - 6190144.
4*(o - 311)**2*(o - 16)
Solve s**4/2 + 137*s**3 - 3*s**2/2 - 412*s - 274 = 0 for s.
-274, -1, 2
Factor 4*j**2 - 148708*j + 1040760.
4*(j - 37170)*(j - 7)
Determine v so that 3*v**3/7 - 1479*v**2/7 + 2949*v/7 - 1473/7 = 0.
1, 491
Determine p, given that -4*p**3 - 496*p**2 + 3120*p = 0.
-130, 0, 6
Let -6981*p**2/4 + 825*p/2 - 9/4 = 0. What is p?
1/179, 3/13
Determine s, given that 2*s**3/9 - 4*s**2/3 - 1658*s/9 + 372 = 0.
-27, 2, 31
Solve 243*j**5 - 1971*j**4 - 627*j**3 + 28239*j**2 - 9240*j - 108900 = 0 for j.
-22/9, 3, 5
Factor -5*b**2 + 94270*b + 188560.
-5*(b - 18856)*(b + 2)
Factor 2*o**2 + 840*o + 8998.
2*(o + 11)*(o + 409)
Factor -4*d**2 + 8492*d + 34032.
-4*(d - 2127)*(d + 4)
Suppose 3*x**5 - 54*x**4 - 624*x**3 + 5526*x**2 + 20493*x = 0. What is x?
-11, -3, 0, 9, 23
Factor 4*d**2 - 434408*d + 11794394404.
4*(d - 54301)**2
Find n, given that 98*n**4/5 + 86*n**3/5 - 12*n**2/5 = 0.
-1, 0, 6/49
What is j in j**2/2 + 280*j + 2775/2 = 0?
-555, -5
Factor 498002*n**2 - 139720*n + 9800.
2*(499*n - 70)**2
Suppose -3*r**2/8 + 312*r + 38115/8 = 0. Calculate r.
-15, 847
Let -2*r**3/9 + 8792*r**2/9 + 61678*r/9 - 17612 = 0. What is r?
-9, 2, 4403
Factor 5*l**3 - 1090*l**2 + 9405*l.
5*l*(l - 209)*(l - 9)
Factor -1720*t**3 + 6588*t**2 + 676*t.
-4*t*(10*t + 1)*(43*t - 169)
Suppose -4*h**2 - 340*h - 7104 = 0. What is h?
-48, -37
Factor -5*a**4 - 1335*a**3 - 117450*a**2 - 3280500*a + 10935000.
-5*(a - 3)*(a + 90)**3
Factor -12*f**2/7 + 7216*f/7 + 688.
-4*(f - 602)*(3*f + 2)/7
Suppose -2*z**2/7 + 1000*z/7 - 17352/7 = 0. What is z?
18, 482
Let v**4 + 46*v**3 - 205*v**2 - 250*v = 0. What is v?
-50, -1, 0, 5
Find d, given that d**2 + 2468*d + 4932 = 0.
-2466, -2
Factor -2*t**4 - 242*t**3 + 12080*t**2 - 128800*t.
-2*t*(t - 20)**2*(t + 161)
Let 4*k**2 + 46388*k - 139200 = 0. What is k?
-11600, 3
Let 4*y**5 - 1216*y**4 + 1180*y**3 + 9744*y**2 - 14544*y = 0. Calculate y.
-3, 0, 2, 303
Find c such that -3*c**2 - 1068*c + 158991 = 0.
-469, 113
Suppose k**4/4 - 8*k**3 + 111*k**2/4 + 603*k + 567 = 0. What is k?
-6, -1, 18, 21
Let -2*d**5 + 638*d**4 + 5874*d**3 + 9826*d**2 + 4592*d = 0. What is d?
-7, -1, 0, 328
Solve 5*c**3 - 875*c**2 + 8195*c + 9075 = 0.
-1, 11, 165
Factor 3*u**2 + 60138*u + 120264.
3*(u + 2)*(u + 20044)
Suppose s**2 + 14524*s + 116128 = 0. What is s?
-14516, -8
Determine n, given that 7*n**5/6 - 383*n**4 + 31488*n**3 - 26896*n**2/3 = 0.
0, 2/7, 164
Solve 3*g**4 + 675*g**3 + 23892*g**2 = 0.
-181, -44, 0
Solve -y**2 + 3537*y - 7070 = 0 for y.
2, 3535
Let -3*s**2 - 630*s - 31047 = 0. Calculate s.
-131, -79
Determine q so that 4*q**3 - 1204*q**2 + 39820*q + 41028 = 0.
-1, 39, 263
Factor -3*x**2/2 + 1017*x - 56463/2.
-3*(x - 649)*(x - 29)/2
What is a in -4*a**5 - 5*a**4 + 5367*a**3 + 22622*a**2 + 5320*a = 0?
-35, -4, -1/4, 0, 38
Determine p, given that 2*p**5 - 966*p**4 + 129788*p**3 - 3169716*p**2 + 20663810*p - 17622918 = 0.
1, 9, 19, 227
Factor -2*t**4/7 - 30258*t**3/7 + 272430*t**2/7 - 817398*t/7 + 817452/7.
-2*(t - 3)**3*(t + 15138)/7
Factor 5*x**2 + 130*x - 435.
5*(x - 3)*(x + 29)
Factor -2*a**2/5 - 285484*a/5 - 10187639282/5.
-2*(a + 71371)**2/5
Factor -867*r**4/5 - 306*r**3/5 + 2013*r**2/5 + 72*r - 240.
-3*(r - 1)**2*(17*r + 20)**2/5
Factor -m**4/9 - 3764*m**3/3 - 31899892*m**2/9 - 42488032*m/3 - 127418944/9.
-(m + 2)**2*(m + 5644)**2/9
Factor 3*m**3 - 25768*m**2 - 17181*m + 8590.
(m - 8590)*(m + 1)*(3*m - 1)
Solve i**4 - 9*i**3 - 586*i**2 + 6600*i = 0 for i.
-25, 0, 12, 22
Solve 5*s**2 + 555*s - 1130 = 0.
-113, 2
Suppose 4*q**2 + 1400120*q + 122521000900 = 0. What is q?
-175015
Factor -2*s**3 + 884*s**2.
-2*s**2*(s - 442)
Determine y so that -5*y**3 - 680*y**2 + 97255*y - 645750 = 0.
-225, 7, 82
Factor 2*r**2/15 - 400*r/3 - 2006/5.
2*(r - 1003)*(r + 3)/15
Factor 16*q**2/7 + 98092*q + 171660/7.
4*(q + 42915)*(4*q + 1)/7
Factor 51140*z**3 + 306832*z**2 + 460212*z - 72.
4*(z + 3)**2*(12785*z - 2)
Factor 4*w**3/3 - 112*w**2 + 1280*w/3.
4*w*(w - 80)*(w - 4)/3
Determine k, given that -k**2/5 + 18497*k/5 + 11100 = 0.
-3, 18500
Let -c**2/3 + 1987*c/3 - 9910/3 = 0. What is c?
5, 1982
Solve 5*b**3 + 5*b**2 - 605*b - 605 = 0 for b.
-11, -1, 11
Factor -2*z**2/7 + 75020*z/7 + 32154.
-2*(z - 37513)*(z + 3)/7
Let -f**5 + 63*f**4 + 695*f**3 - 3447*f**2 + 4562*f - 1872 = 0. What is f?
-13, 1, 2, 72
Factor -470*g**3/3 + 1508*g**2/3 - 1136*g/3.
-2*g*(g - 2)*(235*g - 284)/3
Let o**2/8 + 128808*o + 33183001728 = 0. Calculate o.
-515232
What is h in 20*h**4 + 4015*h**3 - 65285*h**2 + 128390*h - 28080 = 0?
-216, 1/4, 2, 13
Let 3*p**2 + 7533*p + 7530 = 0. What is p?
-2510, -1
Determine x so that -2*x**2/7 + 454*x/7 + 4740/7 = 0.
-10, 237
Suppose x**5/4 + 29*x**4/4 - 343*x**3/4 - 1757*x**2/4 - 297*x/2 + 666 = 0. Calculate x.
-37, -3, -2, 1, 12
Factor -2*a**4 - 276*a**3 - 12258*a**2 - 188784*a - 935712.
-2*(a + 12)**2*(a + 57)**2
Factor -4*m**2 - 28664*m - 85956.
-4*(m + 3)*(m + 7163)
Suppose -2*k**5 + 2252*k**4 - 26780*k**3 + 48848*k**2 + 187054*k + 109172 = 0. What is k?
-1, 7, 1114
Factor 4*s**2 - 3400*s - 30924.
4*(s - 859)*(s + 9)
Factor -h**2 - 7224*h.
-h*(h + 7224)
Factor -3*a**2/5 - 4086*a/5 - 1391283/5.
-3*(a + 681)**2/5
Factor 5*y**3 + 135*y**2 - 450*y.
5*y*(y - 3)*(y + 30)
Factor -2*r**2 + 162920*r - 3317865800.
-2*(r - 40730)**2
Factor 2*u**2/15 - 9952*u/15 + 1990/3.
2*(u - 4975)*(u - 1)/15
Find w, given that 1156*w**4 - 123828*w**3 + 10952*w**2 + 387792*w - 277344 = 0.
-2, 18/17, 107
Factor 4*v**3/9 - 80*v**2/9 + 52*v - 88.
4*(v - 11)*(v - 6)*(v - 3)/9
Factor -l**3/5 - 111*l**2/5 + 2664*l/5 + 5764/5.
-(l - 22)*(l + 2)*(l + 131)/5
Factor -22*p**3 - 1874*p**2 + 126080*p/11 - 186368/11.
-2*(p + 91)*(11*p - 32)**2/11
Factor 2*k**2/13 - 239088*k/13 + 7145383968/13.
2*(k - 59772)**2/13
Suppose 73923888*m**2 + 863736*m + 2523 = 0. What is m?
-29/4964
Factor -3*m**2 + 531*m + 67854.
-3*(m - 263)*(m + 86)
Let -5*p**4 - 20*p**3 + 7185*p**2 - 72880*p - 80080 = 0. Calculate p.
-44, -1, 13, 28
Let 4*d**4 