- 876*f/7 + 862 = 0.
7, 431
Determine i so that -5*i**3 + 4140*i**2 + 33360*i + 66880 = 0.
-4, 836
Factor -4*d**2 + 123812*d.
-4*d*(d - 30953)
Let -2*g**4 - 4516*g**3 - 2489898*g**2 + 67044536*g - 440807432 = 0. Calculate g.
-1142, 13
Factor -2*k**2/7 - 38620*k/7 - 186438050/7.
-2*(k + 9655)**2/7
Let 2*k**2/13 - 6668*k/13 - 6670/13 = 0. What is k?
-1, 3335
Suppose -t**2/7 + 129*t + 9730 = 0. Calculate t.
-70, 973
Determine f, given that -2*f**2/7 - 7814*f/7 + 7816/7 = 0.
-3908, 1
Let -4*l**4 + 4728*l**3 - 127828*l**2 - 1634880*l - 4385200 = 0. What is l?
-5, 38, 1154
Factor -c**2 - 237*c + 964.
-(c - 4)*(c + 241)
Determine w so that 4*w**2/7 + 2652*w/7 - 308656/7 = 0.
-764, 101
Factor -3*v**2 - 5742*v - 5739.
-3*(v + 1)*(v + 1913)
Solve -3*h**3 - 12906*h**2 - 128760*h = 0 for h.
-4292, -10, 0
Determine y, given that -5*y**5 + 136*y**4 - 971*y**3 + 2748*y**2 - 3204*y + 1296 = 0.
1, 6/5, 3, 4, 18
Find m, given that -3*m**3/7 + 12*m**2 - 3*m - 1620/7 = 0.
-4, 5, 27
Find r such that -3*r**4/4 + 72*r**3 + 3339*r**2/2 - 3552*r + 7245/4 = 0.
-21, 1, 115
Suppose -12*x**2 + 2851616*x - 1901072 = 0. Calculate x.
2/3, 237634
Find o such that -3*o**4 + 19614*o**3 + 98157*o**2 - 78456*o - 392580 = 0.
-5, -2, 2, 6543
Let 3*r**4 + 177*r**3 - 7548*r**2 - 6480*r + 1252800 = 0. Calculate r.
-87, -12, 20
Solve -2*r**4/9 + 8*r**3/9 + 482*r**2/9 - 2408*r/9 + 640/3 = 0.
-16, 1, 4, 15
Determine l, given that 4*l**4/5 + 66*l**3 + 158*l**2 - 4962*l + 12166/5 = 0.
-79, -11, 1/2, 7
What is q in -q**5 - 4279*q**4 + 15*q**3 + 64195*q**2 + 42766*q - 102696 = 0?
-4279, -3, -2, 1, 4
Find f, given that f**3/10 + 16*f**2/5 - f/10 - 16/5 = 0.
-32, -1, 1
Find i, given that -2304*i**3 - 6908*i**2 + 9228*i - 16 = 0.
-4, 1/576, 1
Find r, given that 3*r**3/5 - 81*r**2/5 - 6894*r/5 - 2688 = 0.
-35, -2, 64
Factor -c**3/2 + 3335*c**2/2.
-c**2*(c - 3335)/2
Factor 3*j**2 + 125970*j.
3*j*(j + 41990)
Factor 5*p**2 - 1332570*p + 88787140245.
5*(p - 133257)**2
Solve -2*x**5/11 + 18*x**4/11 - 2*x**3/11 - 114*x**2/11 + 4*x/11 + 96/11 = 0 for x.
-2, -1, 1, 3, 8
Determine a, given that a**4 + 3796*a**3 - 11403*a**2 - 22786*a + 30392 = 0.
-3799, -2, 1, 4
Find s, given that 3*s**2 - 1572*s + 199020 = 0.
214, 310
Solve 2*s**3/7 - 74*s**2 - 13296*s/7 - 81504/7 = 0.
-12, 283
Factor 5*g**4 - 156730*g**3 + 1227273905*g**2 + 14744218020*g + 44249587380.
5*(g - 15679)**2*(g + 6)**2
Determine p, given that -p**2 + 39100*p/3 - 13033/3 = 0.
1/3, 13033
Find s such that 4*s**2 - 220*s - 100016 = 0.
-133, 188
What is d in -2*d**4 + 35092*d**3 - 154106418*d**2 + 1538433280*d - 3843891200 = 0?
5, 8768
Suppose -2*i**4/15 + 22*i**3/15 + 48*i**2/5 + 248*i/15 + 128/15 = 0. Calculate i.
-2, -1, 16
Let -j**4 - 44*j**3 - 279*j**2 + 324*j = 0. Calculate j.
-36, -9, 0, 1
Solve u**5/2 + u**4 - 155*u**3/2 + 484*u**2 - 1048*u + 640 = 0.
-16, 1, 4, 5
Factor p**3 + 1805*p**2 + 1784*p - 36080.
(p - 4)*(p + 5)*(p + 1804)
Solve 2*c**4/7 - 1964*c**3/7 + 40506*c**2/7 - 138520*c/7 + 130696/7 = 0 for c.
2, 17, 961
Suppose -5*a**4 - 12830*a**3 - 102400*a**2 - 204640*a = 0. What is a?
-2558, -4, 0
Factor s**3/3 + 9437*s**2/3.
s**2*(s + 9437)/3
Solve -f**3/4 + 462*f**2 + 2779*f + 3708 = 0 for f.
-4, -2, 1854
Factor 5*m**3/3 - 1010*m**2 + 2995*m/3 + 6050.
5*(m - 605)*(m - 3)*(m + 2)/3
Solve j**5/8 + j**4/2 - j**3/8 - j**2/2 = 0.
-4, -1, 0, 1
Determine m so that 21*m**5 - 5118*m**4 + 213261*m**3 - 347772*m**2 - 116892*m = 0.
-2/7, 0, 2, 51, 191
Factor -5*s**2 - 102095*s.
-5*s*(s + 20419)
Solve -v**3/4 - 365*v**2/4 + 183*v/2 = 0 for v.
-366, 0, 1
Let -k**5/10 - 89*k**4/10 + 189*k**3/10 + 641*k**2/10 + 182*k/5 = 0. Calculate k.
-91, -1, 0, 4
Find b, given that 2*b**3/5 - 50052*b**2/5 = 0.
0, 25026
Find h such that 2*h**4 - 235*h**3/3 - 151*h**2 + 10162*h/3 - 560 = 0.
-7, 1/6, 6, 40
Factor -5*v**2/7 + 6778*v/7 + 2712/7.
-(v - 1356)*(5*v + 2)/7
Suppose -2*u**4 + 412*u**3 - 26106*u**2 + 474848*u - 449152 = 0. Calculate u.
1, 29, 88
Find b such that -3*b**2 - 35922*b = 0.
-11974, 0
Factor -r**2 + 552*r + 15028.
-(r - 578)*(r + 26)
Let -42*d**3/13 + 45914*d**2/13 - 54608*d/13 + 672 = 0. What is d?
4/21, 1, 1092
Find k, given that 2*k**4/5 - 222*k**3/5 + 336*k**2 - 3296*k/5 = 0.
0, 4, 103
Find g such that 84*g**5 - 1541*g**4 + 2960*g**3 + 3155*g**2 - 1334*g + 96 = 0.
-1, 2/21, 1/4, 3, 16
Find r such that r**2/2 + 159*r - 54704 = 0.
-526, 208
Factor 2*z**3/11 - 106*z**2/11 + 488*z/11 - 384/11.
2*(z - 48)*(z - 4)*(z - 1)/11
Determine g so that -2*g**2/7 - 304*g - 187598/7 = 0.
-967, -97
Determine v, given that v**2/3 - 448*v + 70821 = 0.
183, 1161
Find j such that 2*j**5/5 - 26*j**4 - 428*j**3/5 + 272*j**2 = 0.
-5, 0, 2, 68
Determine m so that 3*m**2 + 6504*m - 164475 = 0.
-2193, 25
Factor o**4/6 - 1139*o**3/6 - 1145*o**2.
o**2*(o - 1145)*(o + 6)/6
Factor -75*f**3/4 - 405*f**2 - 612*f - 240.
-3*(f + 20)*(5*f + 4)**2/4
Factor -2*v**2 - 8042*v + 16092.
-2*(v - 2)*(v + 4023)
Find x, given that x**2/10 + 1428*x + 5097960 = 0.
-7140
Factor 5*i**2/3 + 22070*i/3 + 24354245/3.
5*(i + 2207)**2/3
Factor -c**3 + 2519*c**2 - 30120*c + 90252.
-(c - 2507)*(c - 6)**2
Let l**3/3 + 406*l**2/3 + 1715*l + 4716 = 0. Calculate l.
-393, -9, -4
Factor -b**5 - 78*b**4 - 2348*b**3 - 33478*b**2 - 217683*b - 466412.
-(b + 4)*(b + 17)*(b + 19)**3
Solve 3*g**3/5 + 8964*g**2/5 + 53703*g/5 + 80514/5 = 0 for g.
-2982, -3
Determine r, given that -4*r**2/7 + 1772*r/7 + 54752/7 = 0.
-29, 472
Find o, given that -o**5 + 4*o**4 + 141*o**3 + 364*o**2 - 28*o - 480 = 0.
-8, -2, 1, 15
Factor -2*x**2/7 - 650*x/7 - 648/7.
-2*(x + 1)*(x + 324)/7
Let -3*t**5 + 597*t**4 - 3477*t**3 + 507*t**2 + 13956*t - 11580 = 0. Calculate t.
-2, 1, 2, 5, 193
Solve 2*j**5 + 8*j**4 - 242*j**3 - 512*j**2 + 1176*j + 1440 = 0 for j.
-12, -3, -1, 2, 10
Suppose k**2/4 + 9423*k = 0. What is k?
-37692, 0
Solve 3*c**2 + 36021*c + 395868 = 0 for c.
-11996, -11
Factor -496*n**2 + 3020*n - 264.
-4*(n - 6)*(124*n - 11)
Find l such that 34*l**2/3 + 160708*l/3 - 69344 = 0.
-4728, 22/17
Factor -5*z**3 + 72200*z**2 - 260714185*z + 521139610.
-5*(z - 7219)**2*(z - 2)
Factor 3*n**4/4 + 12*n**3 + 111*n**2/2 + 78*n + 135/4.
3*(n + 1)**2*(n + 5)*(n + 9)/4
Find g, given that 5*g**3 - 26730*g**2 + 35697900*g + 71502760 = 0.
-2, 2674
Factor -2*o**2/7 + 20138*o/7.
-2*o*(o - 10069)/7
Determine p so that 501760*p**5 - 7525504*p**4 + 157987202*p**3/5 - 24529798*p**2 - 219394*p/5 - 98/5 = 0.
-1/1120, 1, 7
Find k such that 9*k**4 + 3423*k**3 - 37569*k**2 - 12903*k = 0.
-391, -1/3, 0, 11
What is h in 2*h**3/5 - 332*h**2/5 + 5798*h/5 + 6132/5 = 0?
-1, 21, 146
Determine j, given that 2*j**5 - 216*j**4 - 3326*j**3 - 11092*j**2 + 13272*j + 47824 = 0.
-7, -2, 2, 122
Determine k so that -2*k**5/19 + 1662*k**4/19 - 342630*k**3/19 - 1163782*k**2/19 + 25333584*k/19 - 61208928/19 = 0.
-11, 4, 417
Let 5*o**4 - 214360*o**3 + 2297296110*o**2 + 4595235320*o + 2297724845 = 0. Calculate o.
-1, 21437
Factor 2*j**2/7 + 614*j/7 - 88.
2*(j - 1)*(j + 308)/7
Suppose 65*j**2 + 2715*j + 2050 = 0. Calculate j.
-41, -10/13
Solve -b**3/4 + 323*b**2/4 + b - 323 = 0.
-2, 2, 323
Let 3*v**3/5 + 534*v**2/5 + 552*v - 57792/5 = 0. What is v?
-172, -14, 8
Find r, given that 2*r**3/11 + 408*r**2/11 + 17608*r/11 = 0.
-142, -62, 0
Factor 2*k**3/5 + 564*k**2/5 - 6984*k/5 + 21168/5.
2*(k - 6)**2*(k + 294)/5
What is i in 3*i**5 + 363*i**4 - 846*i**3 - 13278*i**2 + 843*i + 12915 = 0?
-123, -5, -1, 1, 7
Determine q so that -2*q**3/5 + 592*q**2/5 - 1178*q/5 + 588/5 = 0.
1, 294
Find h such that 4*h**5 + 536*h**4 - 3924*h**3 + 3512*h**2 + 17920*h - 18048 = 0.
-141, -2, 1, 4
Find z such that 3*z**3/8 - 783*z**2/4 - 3*z/8 + 783/4 = 0.
-1, 1, 522
Solve 2*s**4 - 46*s**3 - 858*s**2 + 414*s + 7560 = 0.
-12, -3, 3, 35
What is g in 2*g**4 + 3568*g**3 + 1626408*g**2 + 31116960*g = 0?
-882, -20, 0
Factor 2*l**2/5 - 2034*l/5 - 1224.
2*(l - 1020)*(l + 3)/5
Suppose -8*l**4/9 + 420*l**3 - 24292*l**2/9 + 9320*l/3 = 0. Calculate l.
0, 3/2, 5, 466
Factor 3*s**3 - 44772*s**2 - 44775*s.
3*s*(s - 14925)*(s + 1)
Determine n so that 4*n**4 - 51964*n**3 - 12*n**2 + 155900*n - 103928 = 0.
-2, 1, 12991
Determine b, given that 3*b**5/8 - 124251*b**4/8 + 124245*b**3/4 + 3*b**2/4 - 248493*b/8 + 124245/8 = 0.
-1, 1, 41415
Factor -r**2/7 - 120*r/7 + 3052.
-(r - 98)*(r + 218)/7
Let 70*y**3/3 - 100925*y**2/6 - 