ctor -6*q**2 + 62991*q/7 + 13500/7.
-3*(q - 1500)*(14*q + 3)/7
Determine x so that 4*x**3 + 196*x**2 + 480*x - 3312 = 0.
-46, -6, 3
Let 2*t**3/5 - 46*t**2/5 - 708*t/5 + 1584/5 = 0. What is t?
-12, 2, 33
Let l**4 + 638*l**3 - 19740*l**2 + 199400*l - 668000 = 0. Calculate l.
-668, 10
Find g such that -3*g**5/7 - 21234*g**4/7 + 170046*g**3/7 - 127668*g**2/7 - 121485*g - 531450/7 = 0.
-7086, -1, 5
Factor 24*m**2/7 + 1220*m/7 - 204/7.
4*(m + 51)*(6*m - 1)/7
Suppose -5*a**2 + 186430*a - 1737807245 = 0. Calculate a.
18643
Factor -2*p**2/7 - 19538*p/7 - 19524.
-2*(p + 7)*(p + 9762)/7
Determine u so that -7*u**5/4 + 18*u**4 + 1121*u**3/4 - 1395*u**2/2 + 491*u - 90 = 0.
-10, 2/7, 1, 18
Suppose 5*m**2 - 825*m - 3380 = 0. What is m?
-4, 169
Suppose -24*m**5 + 20*m**4 + 7056*m**3 + 59976*m**2 + 117992*m - 144060 = 0. What is m?
-7, 5/6, 21
Determine o, given that -2*o**4/7 + 2216*o**3/7 - 620426*o**2/7 + 3643212*o/7 = 0.
0, 6, 551
Suppose -2*x**3/3 + 728*x**2/3 + 33130*x/3 + 10800 = 0. Calculate x.
-40, -1, 405
Solve -c**4 + 1159*c**3 - 335238*c**2 - 338720*c + 672800 = 0 for c.
-2, 1, 580
Factor -300*q**3 - 879480*q**2 - 527607*q - 79137.
-3*(q + 2931)*(10*q + 3)**2
Find i such that 8*i**3/5 + 45102*i**2/5 - 101516*i/5 + 4512 = 0.
-5640, 1/4, 2
Determine m, given that -2*m**5/17 + 474*m**4/17 - 7248*m**3/17 + 39280*m**2/17 - 85152*m/17 + 3744 = 0.
2, 6, 221
Let -150*f**5 - 88820*f**4 - 35522*f**3/3 - 1184*f**2/3 = 0. What is f?
-592, -1/15, 0
Let -2*g**4 + 328580*g**3 - 17994245592*g**2 + 328484953062908*g - 328466959145894 = 0. What is g?
1, 54763
Suppose -676*g**3 + 12925588*g**2 + 3977152*g + 305936 = 0. Calculate g.
-2/13, 19121
Find l, given that 2*l**5/3 + 144*l**4 + 856*l**3/3 - 4*l**2/3 - 286*l - 428/3 = 0.
-214, -1, 1
Determine n so that 2*n**5 + 156*n**4 - 7478*n**3 + 22936*n**2 + 861960*n + 2710400 = 0.
-112, -5, 22
Factor a**2/4 + 75*a/4 + 134.
(a + 8)*(a + 67)/4
Solve -3*h**5 + 129*h**4 - 1527*h**3 + 5487*h**2 - 6894*h + 2808 = 0 for h.
1, 3, 12, 26
Factor -b**3 - 13346*b**2 - 53372*b - 53368.
-(b + 2)**2*(b + 13342)
Find p such that -p**4 - 242*p**3 + 206609*p**2 + 206850*p = 0.
-591, -1, 0, 350
Factor -s**2 - 3546*s - 7088.
-(s + 2)*(s + 3544)
What is n in -4*n**2 + 1424*n - 39120 = 0?
30, 326
Let 2*g**2/5 - 36*g + 2368/5 = 0. What is g?
16, 74
Factor -3*g**2/8 + 82659*g/8 + 82665/4.
-3*(g - 27555)*(g + 2)/8
Let -2*d**2 + 102892*d - 1323345458 = 0. What is d?
25723
Solve 3*d**2 - 156*d + 1920 = 0.
20, 32
Solve 3*o**5 - 69*o**4 + 258*o**3 + 276*o**2 - 1080*o = 0.
-2, 0, 2, 5, 18
Determine h so that 1463*h**3/3 + 2924*h**2/3 - 4393*h/3 + 2 = 0.
-3, 2/1463, 1
Find s such that -15*s**5/2 - 108*s**4 + 8061*s**3/2 + 75339*s**2 + 211734*s + 72900 = 0.
-18, -3, -2/5, 25
Factor u**2/7 + 830*u/7 - 4175/7.
(u - 5)*(u + 835)/7
Factor -c**2/5 - 6333*c/5 - 170262/5.
-(c + 27)*(c + 6306)/5
Factor -2*a**4/3 - 796*a**3/3 - 94778*a**2/3 - 1033208*a - 10108824.
-2*(a + 22)**2*(a + 177)**2/3
Find s such that s**5/2 + 204*s**4 + 203*s**3 - 204*s**2 - 407*s/2 = 0.
-407, -1, 0, 1
Let 5*d**3 + 250*d**2 + 655*d - 2350 = 0. What is d?
-47, -5, 2
Find x such that -24*x**5 - 98*x**4 + 1216*x**3 + 1398*x**2 + 108*x = 0.
-9, -1, -1/12, 0, 6
Let 7*v**5/5 - 17614*v**4/5 + 2216596*v**3 - 3165128*v**2/5 = 0. What is v?
0, 2/7, 1258
Find a, given that 30*a**5 + 55*a**4 + 25*a**3 = 0.
-1, -5/6, 0
Factor -q**2/5 - 1511*q/5 - 1806.
-(q + 6)*(q + 1505)/5
Factor 2*t**3 + 3580*t**2 + 1391234*t - 194529816.
2*(t - 108)*(t + 949)**2
Factor -m**3 - 2359*m**2 - 1306264*m + 101691924.
-(m - 69)*(m + 1214)**2
Determine n, given that -4*n**2 - 48384*n + 145188 = 0.
-12099, 3
What is l in l**3/3 - 21542*l**2/3 + 129209*l/3 + 150752/3 = 0?
-1, 7, 21536
Solve l**4 - 121*l**3 + 699*l**2 - 1039*l + 460 = 0.
1, 4, 115
Factor -4*b**5 - 56776*b**4 - 201356036*b**3 + 806332816*b**2.
-4*b**2*(b - 4)*(b + 7099)**2
Determine w, given that 3*w**2 + 124617*w - 124620 = 0.
-41540, 1
What is q in q**5/2 + 93*q**4/2 + 2609*q**3/2 + 20639*q**2/2 + 22509*q + 13448 = 0?
-41, -8, -2, -1
Factor 3*m**3 - 699*m**2 + 40365*m + 41067.
3*(m - 117)**2*(m + 1)
Factor 31752*r**2/17 + 57960*r/17 + 26450/17.
2*(126*r + 115)**2/17
Determine j so that -3*j**4 - 540*j**3 - 21447*j**2 + 257070*j - 649800 = 0.
-95, 4, 6
Find k such that 2*k**4/17 - 208*k**3/17 - 10588*k**2/17 + 21792*k/17 - 10998/17 = 0.
-39, 1, 141
Determine a, given that 3*a**5/7 - 11103*a**4/7 - 1587*a**3 + 11103*a**2/7 + 11106*a/7 = 0.
-1, 0, 1, 3702
Factor -35*i**4 + 7276620*i**3 - 504279121650*i**2 + 11649159882013580*i - 4992404470168515.
-5*(i - 69301)**3*(7*i - 3)
Suppose 3*a**3 + 1356*a**2 - 126321*a + 2692962 = 0. Calculate a.
-534, 41
Solve 2*r**4 - 56*r**3/3 - 804*r**2 + 9720*r - 3150 = 0.
-21, 1/3, 15
Factor 5*d**2 + 15870*d.
5*d*(d + 3174)
What is i in -i**2/2 - 8554*i + 34224 = 0?
-17112, 4
Factor -4*g**2/3 + 712*g/3 + 480.
-4*(g - 180)*(g + 2)/3
Factor -u**3 + 14380*u**2 + 230272*u + 921344.
-(u - 14396)*(u + 8)**2
Factor -5*b**5 - 68945*b**4 - 237636175*b**3 + 237705125*b**2.
-5*b**2*(b - 1)*(b + 6895)**2
Suppose 4*f**5 - 84*f**4 - 8164*f**3 - 23948*f**2 - 23760*f - 7888 = 0. What is f?
-34, -1, 58
Determine k, given that 5*k**3 + 3855*k**2 + 744975*k + 741125 = 0.
-385, -1
Factor u**4/2 + 23*u**3 - 266*u**2 + 772*u - 672.
(u - 6)*(u - 2)**2*(u + 56)/2
Factor -5*j**3 + 2653*j**2 + 22622*j + 8624.
-(j - 539)*(j + 8)*(5*j + 2)
Solve 2*z**4 + 46154*z**3 + 1936116*z**2 + 27094648*z + 126416080 = 0.
-23035, -14
Solve -4*r**2 + 16592*r = 0 for r.
0, 4148
Find u, given that u**4/8 + 16125*u**3/8 + 86639601*u**2/8 + 154940099311*u/8 - 466381552899/4 = 0.
-5377, 6
Factor -r**2/4 - 204817*r - 41950003489.
-(r + 409634)**2/4
Solve 3*i**5/5 - 27*i**4 + 123*i**3/5 + 399*i**2/5 - 126*i/5 - 264/5 = 0 for i.
-1, 1, 2, 44
Factor 3*r**3 - 15*r**2 - 1266*r - 2448.
3*(r - 24)*(r + 2)*(r + 17)
Find d such that 4*d**2 + 356712*d + 7952715684 = 0.
-44589
Factor 140*x**2 - 79242*x + 1132.
2*(x - 566)*(70*x - 1)
Solve 2*y**4/7 - 710*y**3/7 - 3616*y**2/7 + 5736*y/7 + 8640/7 = 0.
-6, -1, 2, 360
Let -q**3 + 265*q**2 - 1554*q = 0. What is q?
0, 6, 259
Find t, given that 10*t**5 - 4046*t**4/3 + 15338*t**3/3 - 6222*t**2 + 8392*t/3 - 1048/3 = 0.
1/5, 2/3, 1, 2, 131
Find d, given that -d**4/4 - 2065*d**3/4 - 537651*d**2/2 - 2384960*d - 3698744 = 0.
-1028, -7, -2
Let -3*v**4 + 327*v**3 + 2355210*v**2 - 1274445900*v + 188812377000 = 0. What is v?
-1061, 390
Determine s, given that -2*s**2 + 21458*s = 0.
0, 10729
Suppose 5*t**2/2 + 415*t/2 - 425 = 0. Calculate t.
-85, 2
Determine h so that -4*h**5 - 196*h**4 - 1692*h**3 - 5324*h**2 - 6944*h - 3120 = 0.
-39, -5, -2, -1
Factor 4*h**3/17 + 3190*h**2/17 + 644688*h/17 + 3449952/17.
2*(h + 396)**2*(2*h + 11)/17
Factor -v**2/5 - 15404*v/5 - 30804/5.
-(v + 2)*(v + 15402)/5
Suppose -3*a**4 + 1635*a**3 - 244668*a**2 + 5834412*a - 5591376 = 0. Calculate a.
1, 28, 258
Determine v so that v**4/3 - 6029*v**3 + 108497*v**2/3 - 66299*v + 36162 = 0.
1, 2, 3, 18081
Suppose -2*p**3/3 - 48212*p**2/3 - 96418*p/3 - 48208/3 = 0. What is p?
-24104, -1
Factor -2*x**2/3 - 1332824*x - 666157430616.
-2*(x + 999618)**2/3
Factor -2*b**2/17 - 57550*b/17 + 1843648/17.
-2*(b - 32)*(b + 28807)/17
Factor a**4 + 556*a**3 - 4*a**2 - 2224*a.
a*(a - 2)*(a + 2)*(a + 556)
What is m in 2*m**5 + 160*m**4 + 4426*m**3 + 47276*m**2 + 112224*m - 451584 = 0?
-32, -21, -8, 2
Factor -2*r**2 - 54780*r - 383362.
-2*(r + 7)*(r + 27383)
Determine d, given that -d**5/2 - 193*d**4/2 + 2247*d**3/2 + 581*d**2/2 - 3173*d - 2244 = 0.
-204, -1, 2, 11
Let -2*n**2/3 + 92652*n - 3219147414 = 0. Calculate n.
69489
Find x such that 3*x**2 + 43998*x + 161318667 = 0.
-7333
Factor n**2/5 + 741*n/5 + 99828/5.
(n + 177)*(n + 564)/5
Factor 4*y**4 + 112*y**3 + 428*y**2 - 3184*y + 3696.
4*(y - 2)**2*(y + 11)*(y + 21)
Determine h, given that -10658*h**5/3 - 48107*h**4/6 - 12839*h**3/3 + 2243*h**2/2 + 774*h - 162 = 0.
-1, -3/4, 18/73
Factor -s**3 + 259307*s**2.
-s**2*(s - 259307)
Find t, given that 14*t**5 - 42124*t**4 + 31746388*t**3 - 90426488*t**2 + 49686174*t + 9036036 = 0.
-1/7, 1, 2, 1503
Suppose -15*d**2/2 - 15595*d - 20780 = 0. Calculate d.
-2078, -4/3
Factor -94*j**2/13 - 1516694*j/13 - 64540/13.
-2*(j + 16135)*(47*j + 2)/13
Factor -4*n**4 - 31816*n**3 - 190800*n**2 - 381536*n - 254336