 - 300)
Factor 4*i**2/9 + 172*i - 201880/9.
4*(i - 103)*(i + 490)/9
Factor 3*n**4/5 - 149922*n**3/5 + 1873650099*n**2/5 - 14982005304*n/5 + 29959213872/5.
3*(n - 24983)**2*(n - 4)**2/5
Let -3*f**3/4 - 423*f**2/2 - 12597*f/4 + 22743/2 = 0. What is f?
-266, -19, 3
Factor z**3 + 161795*z**2 - 647183*z/4 + 40449.
(z + 161796)*(2*z - 1)**2/4
Factor -4*v**3 + 3108*v**2 - 569772*v - 13372884.
-4*(v - 399)**2*(v + 21)
Suppose q**4/5 + 28*q**3/5 + 173*q**2/5 - 262*q/5 - 408/5 = 0. What is q?
-17, -12, -1, 2
Find x such that x**3/3 - 89*x**2/3 - 404*x/3 + 992 = 0.
-8, 4, 93
Let i**2/2 - 27084*i + 54166 = 0. What is i?
2, 54166
Find f, given that -4*f**3 - 1272*f**2 - 91632*f + 1543136 = 0.
-166, 14
Let 2*a**4/9 + 32*a**3/3 + 1454*a**2/9 + 2512*a/3 + 12512/9 = 0. Calculate a.
-23, -17, -4
Suppose -y**2 + 2626*y - 41760 = 0. What is y?
16, 2610
Find c, given that -15*c**4 - 2420*c**3 - 65245*c**2 + 193980*c + 71820 = 0.
-126, -38, -1/3, 3
Suppose -5*x**2 + 5400*x + 282500 = 0. Calculate x.
-50, 1130
Let 2*l**3/5 + 181726*l**2/5 + 4127588032*l/5 - 4128496712 = 0. What is l?
-45434, 5
Factor x**3/8 - 1411*x**2/8 + 342199*x/8 - 23005125/8.
(x - 1125)*(x - 143)**2/8
Let -2*n**5 - 7344*n**4 - 6814768*n**3 - 133867840*n**2 - 453928992*n - 426787328 = 0. Calculate n.
-1826, -16, -2
Let -3*q**2/5 + 1308*q/5 + 66516/5 = 0. What is q?
-46, 482
Solve -8*r**4 + 2868*r**3 - 26556*r**2 + 11132*r + 12564 = 0 for r.
-1/2, 1, 9, 349
Factor -3*x**2 - 3997698*x - 1331799108267.
-3*(x + 666283)**2
Find n, given that n**2/4 - 7613*n/4 - 3807/2 = 0.
-1, 7614
Suppose 7*g**5/3 + 3293*g**4/3 - 25306*g**3/3 + 13384*g**2/3 = 0. What is g?
-478, 0, 4/7, 7
Factor -19044*c**3/5 + 229908*c**2 - 82925*c + 7500.
-(c - 60)*(138*c - 25)**2/5
Factor -454*a**2/11 + 11362*a/11 - 300/11.
-2*(a - 25)*(227*a - 6)/11
Let -2*c**2/7 - 7284*c/7 - 6632082/7 = 0. What is c?
-1821
Solve 2*x**4/9 - 488*x**3/3 + 4372*x**2/9 + 488*x/3 - 486 = 0 for x.
-1, 1, 3, 729
Factor 2*x**2 - 1142*x - 58092.
2*(x - 618)*(x + 47)
Determine a, given that -2*a**3/7 + 1086*a**2/7 - 3204*a/7 - 19440/7 = 0.
-3, 6, 540
Find l, given that -4*l**3 - 604*l**2 + 5124*l + 5724 = 0.
-159, -1, 9
What is g in -1360*g**3/13 + 2644*g**2/13 + 158*g/13 - 12/13 = 0?
-1/10, 3/68, 2
Suppose 363*s**5 + 51018*s**4 - 741615*s**3 + 1612122*s**2 - 1247136*s + 325248 = 0. What is s?
-154, 8/11, 1, 11
Solve 3*c**4/2 - 451*c**3 + 96613*c**2/6 + 66218*c/3 + 22274/3 = 0.
-2/3, 43, 259
Solve -362952*w**5/11 - 310128*w**4/11 + 1739566*w**3/11 - 1597914*w**2/11 + 553770*w/11 - 66150/11 = 0.
-3, 1/3, 105/142
Find l, given that -25*l**5 + 2615*l**4 - 15850*l**3 - 31660*l**2 + 29240*l + 15680 = 0.
-2, -2/5, 1, 8, 98
Factor -3*h**4/5 + 20643*h**3/5 + 61956*h**2/5.
-3*h**2*(h - 6884)*(h + 3)/5
Factor 3*b**3 + 474*b**2 - 44055*b - 871182.
3*(b - 78)*(b + 17)*(b + 219)
Suppose n**4 + 49*n**3 - 393*n**2 - 49*n + 392 = 0. Calculate n.
-56, -1, 1, 7
Let -3*w**3 + 4305*w**2 + 3*w - 4305 = 0. Calculate w.
-1, 1, 1435
Factor -s**2/7 + 1919*s/7 - 3834/7.
-(s - 1917)*(s - 2)/7
Factor -3*q**4/7 - 162*q**3/7 - 1152*q**2/7 - 2208*q/7.
-3*q*(q + 4)**2*(q + 46)/7
Determine y, given that -2*y**5/5 + 46*y**4/3 - 388*y**3/15 - 272*y**2 - 1152*y/5 = 0.
-8/3, -1, 0, 6, 36
Solve 3*t**2 - 2199*t + 10920 = 0 for t.
5, 728
Let -3*z**5 + 258*z**4 + 11088*z**3 + 133542*z**2 + 560115*z + 437400 = 0. Calculate z.
-15, -9, -1, 120
What is h in 2*h**5/5 + 694*h**4/5 + 23172*h**3/5 + 243932*h**2/5 + 81458*h - 4099602/5 = 0?
-311, -13, 3
Factor 4*z**3 + 6304*z**2 + 31436*z + 25136.
4*(z + 1)*(z + 4)*(z + 1571)
Find a, given that -3*a**3/4 - 356511*a**2/4 - 10592209173*a/4 - 31773419001/4 = 0.
-59417, -3
Find x such that -4*x**4/3 - 594*x**3 - 1478*x**2 - 1772*x/3 = 0.
-443, -2, -1/2, 0
Find c such that 4*c**2/3 + 124*c/3 + 144 = 0.
-27, -4
Factor -2*d**3 - 296*d**2 + 322*d + 3576.
-2*(d - 4)*(d + 3)*(d + 149)
Suppose s**4 + 29*s**3 - 2278*s**2 - 79268*s - 216600 = 0. What is s?
-38, -3, 50
Factor -y**3/5 - 1707*y**2 - 18207288*y/5 + 18215824/5.
-(y - 1)*(y + 4268)**2/5
Let -18*i**4 + 176127*i**3 + 381669*i**2 + 234885*i + 29361 = 0. What is i?
-1, -1/6, 9787
Let 2*z**4/9 - 8*z**3/9 - 506*z**2/9 + 8*z/9 + 56 = 0. Calculate z.
-14, -1, 1, 18
Factor -115*o**2/3 - 26333*o/3 + 458/3.
-(o + 229)*(115*o - 2)/3
Factor -y**5 + 36*y**4 - 158*y**3 + 84*y**2 + 279*y.
-y*(y - 31)*(y - 3)**2*(y + 1)
Let -2*l**2/3 + 106666*l/3 - 71108 = 0. Calculate l.
2, 53331
Suppose -2*b**2/17 - 1194*b/17 - 10052 = 0. What is b?
-359, -238
Solve 8*h**3 - 4634*h**2 + 650328*h + 6050520 = 0 for h.
-35/4, 294
Find x, given that x**2/3 - 769*x/3 + 3820/3 = 0.
5, 764
Find p, given that -2*p**4/5 - 138*p**3/5 - 224*p**2/5 + 76728*p/5 - 473984/5 = 0.
-46, 7, 16
Factor 2*z**2/5 - 3118*z/5 + 3116/5.
2*(z - 1558)*(z - 1)/5
Factor -2*h**3/5 + 2426*h**2/5 + 9736*h/5.
-2*h*(h - 1217)*(h + 4)/5
Factor -5*a**4/4 + 7055*a**3/4 - 1660275*a**2/2 + 130607125*a - 129778750.
-5*(a - 470)**3*(a - 1)/4
Determine y so that 2*y**2 + 368*y + 4760 = 0.
-170, -14
What is x in -15*x**3 + 670*x**2 + 3100*x - 8760 = 0?
-6, 2, 146/3
What is l in -15*l**3 + 2305*l**2 - 2290*l = 0?
0, 1, 458/3
Determine i, given that i**5/4 + 51*i**4/4 + 45*i**3 - 575*i**2 = 0.
-46, -10, 0, 5
Factor 4*z**3 + 1368348*z**2 + 117024199740*z + 117022831396.
4*(z + 1)*(z + 171043)**2
Factor -3*y**2 - 115596*y - 346761.
-3*(y + 3)*(y + 38529)
Let 2*a**3/3 + 7054*a**2/9 + 3642*a - 11710/9 = 0. Calculate a.
-1171, -5, 1/3
Determine v, given that v**3/4 - 149*v**2/2 + 4164*v + 27720 = 0.
-6, 84, 220
Solve 4*a**4 + 1256*a**3 - 14260*a**2 + 13000*a = 0.
-325, 0, 1, 10
Suppose -r**4 - 1849*r**3 - 12900*r**2 - 11052*r = 0. Calculate r.
-1842, -6, -1, 0
Find p, given that -p**4 - 74*p**3 + 3012*p**2 - 13176*p - 202176 = 0.
-104, -6, 18
Let 5*f**5 + 5*f**4 - 85*f**3 - 105*f**2 + 360*f + 540 = 0. Calculate f.
-3, -2, 3
Determine g so that 3*g**3/5 + 4044*g**2/5 - 12171*g/5 - 16212/5 = 0.
-1351, -1, 4
Factor c**3/3 + 290*c**2/3 + 11489*c/3 + 113680/3.
(c + 16)*(c + 29)*(c + 245)/3
Suppose l**5/7 + 2*l**4 - 628*l**3/7 - 2*l**2 + 627*l/7 = 0. What is l?
-33, -1, 0, 1, 19
Let 4*u**5 - 1756*u**4 + 3476*u**3 + 8764*u**2 - 10488*u = 0. What is u?
-2, 0, 1, 3, 437
Solve 64*n**5 - 96944*n**4 - 121284*n**3 + 6047*n**2 + 25775*n - 4548 = 0 for n.
-1, -3/4, 1/4, 1516
Let -2*q**4 - 174*q**3 + 3238*q**2 - 5946*q + 2884 = 0. Calculate q.
-103, 1, 14
Solve 2*w**3 - 24495*w**2 + 281439*w - 134596 = 0.
1/2, 11, 12236
Find y, given that 5*y**5 - 275*y**4/4 - 3665*y**3/2 - 41335*y**2/4 - 18710*y - 4060 = 0.
-7, -4, -1/4, 29
Factor -l**2/2 + 109*l/2 - 1419.
-(l - 66)*(l - 43)/2
Let 5*f**2 - 467520*f + 10928747520 = 0. What is f?
46752
Solve -2*o**5/9 + 260*o**4/9 - 1264*o**3/9 + 1756*o**2/9 - 250*o/3 = 0.
0, 1, 3, 125
Factor -j**4/5 - 6*j**3/5 + 67*j**2/5 + 72*j.
-j*(j - 8)*(j + 5)*(j + 9)/5
Suppose -5*a**4 - 360*a**3 + 2065*a**2 + 10620*a - 12320 = 0. Calculate a.
-77, -4, 1, 8
Let -5*w**4 - 58410*w**3 - 170586405*w**2 = 0. Calculate w.
-5841, 0
Factor 2*h**3/9 - 1934*h**2/9 - 7760*h/9 - 7768/9.
2*(h - 971)*(h + 2)**2/9
Factor 3*n**4 + 5556*n**3 - 16689*n**2 + 11130*n.
3*n*(n - 2)*(n - 1)*(n + 1855)
Factor -2*f**2/5 - 688*f/5 - 14168/5.
-2*(f + 22)*(f + 322)/5
Factor 3*u**3 + 16851*u**2 + 33693*u + 16845.
3*(u + 1)**2*(u + 5615)
What is c in 3*c**3/5 - 492*c**2/5 + 3612*c + 177504/5 = 0?
-8, 86
Find n such that -n**2 + 2219*n - 4434 = 0.
2, 2217
Find v such that -86*v**2/7 - 26750*v/7 - 1244/7 = 0.
-311, -2/43
Factor 3*m**3/2 + 495*m**2/2 - 1833*m - 4644.
3*(m - 9)*(m + 2)*(m + 172)/2
Find s such that -4*s**2 + 2639096*s - 435301731076 = 0.
329887
Factor -3*x**2 + 915*x - 57288.
-3*(x - 217)*(x - 88)
What is n in 33*n**2 - 9704*n + 588 = 0?
2/33, 294
Solve u**2/3 - 2467*u/3 + 27016/3 = 0.
11, 2456
Determine h so that 2*h**4/5 + 21834*h**3/5 + 59623174*h**2/5 + 178585782*h/5 - 238230792/5 = 0.
-5457, -4, 1
Suppose 4*o**5 + 316*o**4 - 1912*o**3 - 19360*o**2 + 12672*o + 161280 = 0. Calculate o.
-84, -4, 3, 10
Determine x so that 541875*x**5/4 + 488325*x**4/2 - 52227*x**3 + 2646*x**2 = 0.
-2, 0, 42/425
Find f such that -4*f**2/3 + 6716*f/3 - 135744 = 0.
63, 1616
Let 1646*r**3/15 - 108634*r**2/15 + 597454*r/5 + 726/5 = 0. What is r?
-1/823, 33
Determine y so that -3*y**4 - 27*y**3 + 702*y**2 + 768*y -