 1
Let 3*k**2/4 - 921*k/4 + 5733/2 = 0. Calculate k.
13, 294
Determine t, given that 2*t**4 - 58*t**3 + 416*t**2 = 0.
0, 13, 16
Factor -2*f**2 - 7946*f - 158120.
-2*(f + 20)*(f + 3953)
Factor -3*f**2/2 - 306*f + 35391/2.
-3*(f - 47)*(f + 251)/2
What is y in -2*y**4 + 150*y**3 - 546*y**2 - 1622*y + 4260 = 0?
-3, 2, 5, 71
Factor 2*g**2/7 - 9720*g/7 - 9722/7.
2*(g - 4861)*(g + 1)/7
What is c in -14*c**4 - 2250*c**3/23 - 4480*c**2/23 - 2520*c/23 + 32/23 = 0?
-4, -2, -1, 2/161
Factor -5*f**3 + 130205*f**2 + 911620*f + 1562880.
-5*(f - 26048)*(f + 3)*(f + 4)
Suppose -4*t**2 + 106864*t - 713744656 = 0. Calculate t.
13358
Find s such that -14*s**4 + 234*s**3 + 642*s**2 - 15314*s - 15708 = 0.
-51/7, -1, 11, 14
Factor y**3/7 + 7380*y**2/7 + 13556868*y/7 - 218803264/7.
(y - 16)*(y + 3698)**2/7
Factor -k**4 + 47*k**3 + 498*k**2 - 10188*k + 34344.
-(k - 53)*(k - 6)**2*(k + 18)
Solve -7406*n**5 - 776802*n**4 + 87252*n**3 + 32776*n**2 + 1680*n = 0.
-105, -2/23, 0, 2/7
Factor 3*h**4 + 273*h**3 + 1308*h**2 + 1548*h.
3*h*(h + 2)*(h + 3)*(h + 86)
Let 4*p**5 - 300*p**4 - 760*p**3 + 229960*p**2 + 2871540*p + 9359588 = 0. Calculate p.
-17, -7, 53
Let -2*u**3/7 + 760*u**2/7 + 7750*u/7 + 19500/7 = 0. Calculate u.
-5, 390
Factor o**3/2 + 65*o**2 - 284*o - 2144.
(o - 8)*(o + 4)*(o + 134)/2
Factor 2*p**3/7 - 2274*p**2/7 + 92826*p - 275562.
2*(p - 567)**2*(p - 3)/7
Find s such that -s**5 - 837863*s**4 - 234004522968*s**3 - 21784729066655040*s**2 + 21784963072015872*s = 0.
-279288, 0, 1
Suppose -4*s**3 - 48*s**2 + 1420*s + 3000 = 0. Calculate s.
-25, -2, 15
Solve -3*h**2 + 12879*h + 206832 = 0 for h.
-16, 4309
Let -666*d**4 - 2242*d**3/5 + 1574*d**2/5 + 522*d/5 + 36/5 = 0. Calculate d.
-1, -6/37, -1/9, 3/5
Suppose 5*s**2/4 - 16440*s + 54054720 = 0. What is s?
6576
Factor -70*s**3/3 - 949406*s**2/3 + 18084*s.
-2*s*(s + 13563)*(35*s - 2)/3
Factor -n**2/2 + 9*n + 7524.
-(n - 132)*(n + 114)/2
Find q, given that 2*q**3/5 + 375592*q**2/5 + 17633668808*q/5 = 0.
-93898, 0
Factor -2*r**2/7 - 650428*r/7 - 52882072898/7.
-2*(r + 162607)**2/7
Find s, given that 2*s**5/19 + 1016*s**4/19 + 16898*s**3/19 + 100668*s**2/19 + 247896*s/19 + 212112/19 = 0.
-491, -6, -3, -2
Factor -2*g**2 - 3776*g - 45024.
-2*(g + 12)*(g + 1876)
Suppose -h**2/5 + 27432*h/5 - 82287/5 = 0. What is h?
3, 27429
Solve -12*f**4/7 + 1648*f**3/7 + 79204*f**2/7 + 429432*f/7 + 88704 = 0 for f.
-98/3, -3, 176
Let -n**5 - 187*n**4 + 1943*n**3 - 5317*n**2 + 434*n + 7880 = 0. Calculate n.
-197, -1, 2, 4, 5
Factor -172*g**2/9 + 18230*g/9 + 212/9.
-2*(g - 106)*(86*g + 1)/9
Suppose 3*x**5 - 360*x**4 - 15432*x**3 + 2102688*x**2 + 4264176*x = 0. Calculate x.
-74, -2, 0, 98
Solve y**5/2 + 28*y**4 - 179*y**3/2 - 53*y**2 + 350*y - 236 = 0.
-59, -2, 1, 2
Factor -s**4/11 - 755*s**3/11 - 102706*s**2/11.
-s**2*(s + 178)*(s + 577)/11
Determine a so that -5*a**2 + 9060*a - 634735 = 0.
73, 1739
Let -o**5 + 2413*o**4/2 + 5442*o**3 + 9077*o**2 + 6659*o + 3633/2 = 0. Calculate o.
-3/2, -1, 1211
Determine k, given that 4*k**3 - 9828*k**2 + 6071100*k - 42017500 = 0.
7, 1225
Let 2*m**4/9 + 286*m**3/3 - 1178*m**2/3 - 30010*m/9 + 43300/3 = 0. Calculate m.
-433, -6, 5
Factor 4*w**4 + 840*w**3 - 6976*w**2.
4*w**2*(w - 8)*(w + 218)
Factor -27*m**2 + 128067*m/4 - 16005/2.
-3*(4*m - 1)*(9*m - 10670)/4
What is z in -z**4/6 - 61*z**3/3 + 326*z**2/3 + 1069*z/3 - 889/2 = 0?
-127, -3, 1, 7
What is k in -2*k**4 - 30918*k**3/5 - 92694*k**2/5 - 92674*k/5 - 30888/5 = 0?
-15444/5, -1
Factor -2*i**2/13 - 51296*i/13 - 328909952/13.
-2*(i + 12824)**2/13
Factor s**3 - 90*s**2 + 581*s.
s*(s - 83)*(s - 7)
Find j such that -34*j**4 + 854*j**3 - 3976*j**2 + 456*j = 0.
0, 2/17, 6, 19
Factor 2*p**4 + 123*p**3 - 323*p**2 - 192*p.
p*(p - 3)*(p + 64)*(2*p + 1)
Factor -z**4 + 89*z**3 - 82*z**2 - 528*z.
-z*(z - 88)*(z - 3)*(z + 2)
Factor -2*m**3/7 + 79262*m**2/7 - 317024*m/7 + 45288.
-2*(m - 39627)*(m - 2)**2/7
Factor i**3/8 - 199*i**2/8 + 1519*i/8 + 1719/8.
(i - 191)*(i - 9)*(i + 1)/8
Factor t**2 + 676*t + 15019.
(t + 23)*(t + 653)
Factor 62*t**4/5 - 502*t**3/5 + 818*t**2/5 - 378*t/5.
2*t*(t - 1)**2*(31*t - 189)/5
Factor z**4 - z**3 - 144*z**2 + 144*z.
z*(z - 12)*(z - 1)*(z + 12)
Determine f, given that 25*f**3 - 78945*f**2 + 62315235*f + 12466205 = 0.
-1/5, 1579
Suppose -2*r**2/9 - 1144*r/3 - 6856/9 = 0. Calculate r.
-1714, -2
Factor 3*o**4 - 570*o**3 + 27627*o**2 - 51324*o - 79524.
3*(o - 94)**2*(o - 3)*(o + 1)
Factor 3*t**3 + 69129*t**2.
3*t**2*(t + 23043)
Suppose 9*m**5 + 1437*m**4/7 + 6618*m**3/7 + 6420*m**2/7 - 5592*m/7 - 4896/7 = 0. What is m?
-17, -4, -2, -2/3, 6/7
Factor 3*p**3 + 3945*p**2 - 236379*p + 3464079.
3*(p - 29)**2*(p + 1373)
Let -2*f**4/5 - 124*f**3/5 - 114*f**2 = 0. What is f?
-57, -5, 0
Let -5*b**5 + 5*b**4 + 290*b**3 + 220*b**2 - 2040*b - 2880 = 0. What is b?
-6, -2, 3, 8
What is x in -2*x**3/15 + 182104*x**2/15 - 582656*x/3 + 11652608/15 = 0?
8, 91036
Find b such that 5*b**2 + 1980*b - 1550385 = 0.
-789, 393
Factor 16*d**2/5 - 2260472*d/5 + 79839588481/5.
(4*d - 282559)**2/5
Factor 3*v**2/2 - 465*v - 8613/2.
3*(v - 319)*(v + 9)/2
Find y, given that 4*y**2 + 1663192*y = 0.
-415798, 0
Factor -l**4/3 - 68210*l**3/3 - 387694271*l**2 + 2326370260*l/3 - 1163219236/3.
-(l - 1)**2*(l + 34106)**2/3
Let 5*v**2 + 197450*v = 0. Calculate v.
-39490, 0
Factor -l**3/3 - 12*l**2 - 71*l/3 + 308.
-(l - 4)*(l + 7)*(l + 33)/3
Let l**5/3 - 50*l**4/3 - 5203*l**3/3 - 10252*l**2/3 - 1700*l = 0. Calculate l.
-50, -1, 0, 102
Find i such that 3*i**2 + 143754*i + 718695 = 0.
-47913, -5
Solve k**3 + 2875*k**2 + 45772*k + 80052 = 0 for k.
-2859, -14, -2
Solve -156*f**5 - 777*f**4 + 1155*f**3 + 1047*f**2 - 999*f - 270 = 0.
-6, -1, -3/13, 1, 5/4
Find q, given that -q**4 - 10037*q**3 - 25190360*q**2 - 25180324*q = 0.
-5018, -1, 0
Factor -2*a**3/13 - 62700*a**2/13 - 125394*a/13 - 62696/13.
-2*(a + 1)**2*(a + 31348)/13
Suppose -y**5/3 + 487*y**4/3 + 1975*y**3/3 - 5407*y**2/3 + 982*y = 0. What is y?
-6, 0, 1, 491
Determine u so that u**2/4 + 53*u/2 - 107/4 = 0.
-107, 1
Let -2*d**4 + 40*d**3 - 154*d**2 - 436*d - 240 = 0. Calculate d.
-1, 10, 12
Determine u, given that -4*u**5 - 1176*u**4 + 16216*u**3 + 77696*u**2 + 102060*u + 41752 = 0.
-307, -2, -1, 17
Find f such that -f**5/4 + 15*f**4/4 + 155*f**3/4 + 45*f**2/4 - 707*f/2 - 330 = 0.
-5, -4, -1, 3, 22
What is h in -3*h**2/4 - 7599*h/2 + 15201/4 = 0?
-5067, 1
Suppose 5*y**5 - 97*y**4 - 1722*y**3 - 2396*y**2 + 1240*y = 0. What is y?
-10, -2, 0, 2/5, 31
Determine d so that 3*d**3/2 - 159*d**2 + 7779*d/2 - 15660 = 0.
5, 29, 72
Find a such that a**5 - 1551*a**4/4 - 100*a**3 + 4645*a**2/4 + 2133*a/2 + 194 = 0.
-1, -1/4, 2, 388
Solve -78*q**5/5 + 80*q**4/3 + 386*q**3/15 - 144*q**2/5 - 152*q/15 + 32/15 = 0.
-1, -4/9, 2/13, 1, 2
Factor 2*v**2/13 - 110*v/13 + 96.
2*(v - 39)*(v - 16)/13
Factor 3*l**3 - 2685*l**2 - 27222*l + 65160.
3*(l - 905)*(l - 2)*(l + 12)
Find z such that -5*z**5 + 135065*z**4 + 135070*z**3 = 0.
-1, 0, 27014
Suppose -30*b**5 + 2444*b**4 - 57684*b**3 + 309048*b**2 - 20942*b - 574980 = 0. Calculate b.
-6/5, 5/3, 7, 37
Factor -o**3 + 835*o**2 - 181187*o + 2843777.
-(o - 409)**2*(o - 17)
Factor p**2/7 - 124*p/7 - 5760/7.
(p - 160)*(p + 36)/7
Suppose 11*n**4 - 453*n**3 + 1710*n**2 - 296*n = 0. Calculate n.
0, 2/11, 4, 37
Factor 16*s**4 + 88374*s**3 + 162718626*s**2 + 99895668194*s + 37437997926.
2*(s + 1841)**3*(8*s + 3)
Find f such that 5*f**3 + 1675*f**2 + 28855*f + 103025 = 0.
-317, -13, -5
Let -8*b**3/3 + 11992*b**2/3 + 11998*b/3 + 1000 = 0. Calculate b.
-1/2, 1500
Find l, given that l**5/3 + 85*l**4/3 + 83*l**3/3 - 85*l**2/3 - 28*l = 0.
-84, -1, 0, 1
Solve 3*i**3 + 317*i**2 + 520*i = 0.
-104, -5/3, 0
Determine d so that 4*d**5/3 - 1356*d**4 + 1036316*d**3/3 - 1028188*d**2/3 - 345440*d + 1032256/3 = 0.
-1, 1, 508
Determine b so that 4*b**5 + 2344*b**4 + 9320*b**3 + 4640*b**2 - 9324*b - 6984 = 0.
-582, -3, -1, 1
Suppose p**3/2 + 15*p**2 - 32*p = 0. Calculate p.
-32, 0, 2
Factor -2*r**3/11 + 1720*r**2/11 - 1718*r/11.
-2*r*(r - 859)*(r - 1)/11
Let -3*q**2/4 + 12957*q/4 + 55284 = 0. What is q?
-17, 4336
Let -l**5/6 - 335*l**4/6 - 19007*l**3/6 - 18673*l**2/6 = 0. Calculate l.
-263, -71, -1, 0
Factor 18*s**3/7 + 152050*s**2/7 + 33788*s/7.
2*s*(s + 8447)*(9*s + 2)/7
Factor 7*a**3/4 + 3461*a**2/4 + 4933*a/4 + 1479/4.
(a + 1)*(a +