
-59, -2/3, 29
Factor -4*p**2/3 + 906440*p/3 - 51352092100/3.
-4*(p - 113305)**2/3
Determine p so that -11716*p**4 + 8795*p**3 + 73219*p**2 + 17524*p - 12 = 0.
-2, -1/4, 2/2929, 3
Factor -2*k**2/11 - 27812*k/11 - 333456/11.
-2*(k + 12)*(k + 13894)/11
Factor y**2 - 78*y + 1377.
(y - 51)*(y - 27)
Suppose 2*h**4 - 6110*h**3 + 4663456*h**2 + 4669568*h = 0. What is h?
-1, 0, 1528
Factor 5*s**4/6 + 590*s**3/3 + 7090*s**2/3 - 1090320*s + 25613280.
5*(s - 36)**2*(s + 154)**2/6
Find n such that -5*n**2 - 1970*n - 163625 = 0.
-275, -119
Factor 5*z**2/6 + 63*z + 373/6.
(z + 1)*(5*z + 373)/6
Determine b so that -3*b**3 - 120*b**2 + 2523*b + 2640 = 0.
-55, -1, 16
Factor i**5/7 - i**4/7 - 30*i**3/7 - 76*i**2/7 - 8*i.
i*(i - 7)*(i + 2)**3/7
Find l, given that -5*l**3 - 458*l**2 - 271*l + 182 = 0.
-91, -1, 2/5
Factor -2*f**2/11 + 3492932*f/11 - 1525071744578/11.
-2*(f - 873233)**2/11
Suppose 5*h**3 - 25980*h**2 + 51945*h - 25970 = 0. What is h?
1, 5194
Factor h**3/4 - 9553*h**2/4 + 62003*h/2 + 33390.
(h - 9540)*(h - 14)*(h + 1)/4
Factor -3*o**3 + 45906*o**2 - 175613403*o.
-3*o*(o - 7651)**2
Suppose -4*x**3 - 1904*x**2 + 145524*x = 0. What is x?
-543, 0, 67
Factor -2*b**2/11 - 2792*b/11 - 2790/11.
-2*(b + 1)*(b + 1395)/11
What is y in 4*y**4 + 440*y**3 - 5324*y**2 = 0?
-121, 0, 11
Suppose 2*g**3/7 - 2654*g**2/7 - 2668*g/7 + 15936/7 = 0. Calculate g.
-3, 2, 1328
Find h such that -3*h**4 - 504*h**3 + 9171*h**2 - 48408*h + 79920 = 0.
-185, 4, 9
Suppose 6*v**5/5 - 144*v**4/5 + 408*v**3/5 + 864*v**2 = 0. What is v?
-4, 0, 10, 18
Suppose 52*a**4/3 + 101*a**3/3 + 46*a**2/3 - a = 0. Calculate a.
-1, 0, 3/52
Factor -4*m**4 + 268536*m**3 - 4506436852*m**2 - 18028969968*m - 18030044176.
-4*(m - 33569)**2*(m + 2)**2
Factor 75*c**3/4 - 1273*c**2/4 - 721*c - 19.
(c - 19)*(c + 2)*(75*c + 2)/4
Factor -d**4 - 7501*d**3 - 18742482*d**2 - 15568629948*d + 78312650040.
-(d - 5)*(d + 2502)**3
Solve 2*x**3/7 - 466*x**2/7 + 2670*x/7 + 12258/7 = 0.
-3, 9, 227
Let -4*i**5 + 344*i**4 + 5424*i**3 + 17440*i**2 + 16000*i = 0. Calculate i.
-10, -2, 0, 100
Factor 712*v**2/7 + 132*v/7.
4*v*(178*v + 33)/7
Factor 38*h**2 - 2376*h - 15624.
2*(h + 6)*(19*h - 1302)
What is c in c**2/9 - 1769*c/9 + 53878/9 = 0?
31, 1738
Find z such that -2*z**2 - 197126*z - 197124 = 0.
-98562, -1
Suppose -5*m**4 - 85*m**3 + 285*m**2 + 1705*m - 1900 = 0. What is m?
-19, -4, 1, 5
Factor 2*s**5/7 - 4446*s**4/7 + 8886*s**3/7 - 4442*s**2/7.
2*s**2*(s - 2221)*(s - 1)**2/7
Factor v**2 + 10417*v - 10418.
(v - 1)*(v + 10418)
Factor -4*q**2 + 4916*q - 548080.
-4*(q - 1105)*(q - 124)
Factor 5*h**2 - 1290*h + 79000.
5*(h - 158)*(h - 100)
Factor 2*c**2 - 2344*c + 11670.
2*(c - 1167)*(c - 5)
Factor 2*y**2/5 - 41776*y/5 - 41778/5.
2*(y - 20889)*(y + 1)/5
Factor 3*h**2 - 70044*h + 280128.
3*(h - 23344)*(h - 4)
Find z such that 5*z**3 + 17370*z**2 + 14198700*z - 1563000040 = 0.
-1786, 98
Factor 2*c**3/9 + 8*c**2/9 - 70*c/3 - 24.
2*(c - 9)*(c + 1)*(c + 12)/9
Factor -m**3/5 - 9117*m**2 - 91155*m - 227875.
-(m + 5)**2*(m + 45575)/5
Factor 4*f**2 + 9840*f - 39424.
4*(f - 4)*(f + 2464)
Solve z**4/9 - 117191*z**3/9 + 1144458008*z**2/3 + 381499024*z = 0 for z.
-1, 0, 58596
Factor 3*l**2/5 + 846*l/5 + 41391/5.
3*(l + 63)*(l + 219)/5
Find g such that -g**2 - 8357*g - 16710 = 0.
-8355, -2
Determine m, given that m**5/9 - 8*m**4/3 - 46*m**3/9 + 172*m**2/3 + 37*m - 300 = 0.
-4, -3, 3, 25
Determine r, given that 10*r**4 + 248734*r**3/3 + 515712614*r**2/3 + 584188010*r/3 + 68724100/3 = 0.
-4145, -1, -2/15
Suppose 2*f**4 + 583*f**3 + 1152*f**2 - 1737*f = 0. Calculate f.
-579/2, -3, 0, 1
Factor 3*g**3 + 43539*g**2 + 158035665*g + 473715225.
3*(g + 3)*(g + 7255)**2
Factor -1312666322*j**2/9 - 2049520*j/3 - 800.
-2*(25619*j + 60)**2/9
Factor -w**3/5 + 2321*w**2/5 - 11574*w/5 - 13896/5.
-(w - 2316)*(w - 6)*(w + 1)/5
Factor 5*o**3 + 1510*o**2 + 100965*o - 2022480.
5*(o - 16)*(o + 159)**2
Solve 5*v**3 - 35110*v**2 - 70240*v = 0.
-2, 0, 7024
Factor -m**2/4 - 195235*m/2 - 38116705225/4.
-(m + 195235)**2/4
Suppose -71700*i**3/13 - 23918*i**2/13 - 6*i/13 = 0. Calculate i.
-1/3, -3/11950, 0
Factor 5*c**3 - 30*c**2 - 185*c + 1050.
5*(c - 7)*(c - 5)*(c + 6)
Factor 3*h**3 + 282*h**2 + 2487*h - 2772.
3*(h - 1)*(h + 11)*(h + 84)
Factor -k**3/4 - 1313*k**2/2 + 36911*k/4 - 32340.
-(k - 7)**2*(k + 2640)/4
Let -x**4 - 11*x**3 + 1639*x**2 + 4979*x + 3330 = 0. What is x?
-45, -2, -1, 37
Solve -4*l**5 - 508*l**4 - 7440*l**3 - 37872*l**2 - 63936*l = 0.
-111, -6, -4, 0
Find x, given that 25*x**4 - 3820*x**3 - 24390*x**2 - 40500*x - 7155 = 0.
-3, -1/5, 159
Factor -z**2/2 + 82357*z - 6782675449/2.
-(z - 82357)**2/2
Let -3*q**3 + 11706*q**2 - 815565*q - 1677978 = 0. Calculate q.
-2, 73, 3831
Factor 1682*o**3/3 + 571532*o**2/3 - 39434*o + 2040.
2*(o + 340)*(29*o - 3)**2/3
Solve -4*v**2 + 416554*v + 208278 = 0 for v.
-1/2, 104139
Solve -26*w**3/3 - 1208*w**2 + 3208*w - 4544/3 = 0.
-142, 8/13, 2
Let x**5 + 160*x**4 + 6558*x**3 + 12640*x**2 + 6241*x = 0. Calculate x.
-79, -1, 0
Factor -2*r**3/7 - 4*r**2/7 + 730*r/7 - 204.
-2*(r - 17)*(r - 2)*(r + 21)/7
Find y, given that 5*y**5 + 445*y**4 + 4875*y**3 - 217405*y**2 + 1528720*y - 2798400 = 0.
-55, -53, 3, 8
Let 3*i**2 + 16764*i + 23419308 = 0. What is i?
-2794
Determine t, given that 2*t**2 + 132032*t + 2179056128 = 0.
-33008
Solve 2*w**3/7 - 4848*w**2/7 + 101002*w/7 - 182628/7 = 0 for w.
2, 19, 2403
Determine c so that 3*c**2/5 + 475398*c/5 + 18833604867/5 = 0.
-79233
Suppose 2*j**5/15 + 506*j**4/15 + 31748*j**3/15 - 32764*j**2/15 - 6350*j/3 + 32258/15 = 0. Calculate j.
-127, -1, 1
Solve -3*l**5 - 42882*l**4 - 300042*l**3 - 214284*l**2 + 300045*l + 257166 = 0 for l.
-14287, -6, -1, 1
Let 2*l**2/9 - 98*l/3 - 540 = 0. What is l?
-15, 162
Determine c, given that -10*c**5/9 - 16*c**4/9 + 1190*c**3/9 - 1052*c**2/9 - 18200*c/9 - 22736/9 = 0.
-58/5, -2, 7
Find a, given that -3*a**4 + 13308*a**3 + 26625*a**2 + 13314*a = 0.
-1, 0, 4438
Factor -9*r**2/4 - 275811*r - 183873.
-3*(r + 122582)*(3*r + 2)/4
Suppose -2*p**3/17 - 17706*p**2/17 - 70800*p/17 - 70792/17 = 0. Calculate p.
-8849, -2
Find z such that 169*z**4/4 - 92209*z**3/2 - 696723*z**2/4 - 216729*z - 88695 = 0.
-18/13, -1, 1095
Determine w, given that 3*w**2 - 146706*w + 146703 = 0.
1, 48901
Solve -3*p**4 - 39*p**3 - 150*p**2 - 168*p = 0.
-7, -4, -2, 0
Suppose -5*w**3/2 + 89*w**2 + 11115*w/2 - 3366 = 0. Calculate w.
-33, 3/5, 68
Factor 3*u**2/4 + 142593*u/4.
3*u*(u + 47531)/4
Find r such that 2*r**4/9 - 362*r**3/9 + 842*r**2 - 49630*r/9 + 102700/9 = 0.
5, 13, 158
Solve 3*x**2/7 + 585*x/7 + 582/7 = 0.
-194, -1
Suppose -3*z**2 + 15057*z + 15060 = 0. Calculate z.
-1, 5020
Solve -135*a**4 - 32805*a**3 - 2738925*a**2 - 84770375*a - 519115000 = 0.
-235/3, -8
Determine f so that 2*f**3 + 306*f**2 + 12702*f + 74606 = 0.
-73, -7
Let 2*c**3/3 - 426*c**2 + 24910*c/3 - 30950 = 0. Calculate c.
5, 15, 619
Solve -15*m**3 - 22824*m**2 + 54843*m - 32004 = 0 for m.
-1524, 1, 7/5
Factor -z**3/3 + 73871*z**2 - 4092582672*z - 12278412864.
-(z - 110808)**2*(z + 3)/3
What is r in -r**2/2 - 491*r/2 - 2640 = 0?
-480, -11
Factor q**3/6 - 24940*q**2/3 + 49877*q/6 + 49879/3.
(q - 49879)*(q - 2)*(q + 1)/6
Find b, given that -48*b**4 - 5913*b**3 - 35043*b**2 - 34443*b - 5265 = 0.
-117, -5, -1, -3/16
Find b such that 338*b**3/7 - 6630*b**2 + 105750*b/7 - 60750/7 = 0.
15/13, 135
Let 2*a**5 + 2777*a**4/2 + 5873*a**3 + 11043*a**2/2 + 1035*a = 0. Calculate a.
-690, -3, -1, -1/4, 0
Factor -3*w**2 + 207*w - 204.
-3*(w - 68)*(w - 1)
Factor -2*c**3/11 + 2712*c**2/11 + 4482*c + 222588/11.
-2*(c - 1374)*(c + 9)**2/11
Let -5*s**5 + 150*s**4 - 970*s**3 - 4500*s**2 + 30375*s + 33750 = 0. Calculate s.
-5, -1, 6, 15
Factor -v**2 - 4939*v - 44370.
-(v + 9)*(v + 4930)
Find v such that -v**5/5 - 41*v**4/5 + 3009*v**3/5 - 8771*v**2/5 + 8684*v/5 - 576 = 0.
-80, 1, 36
Find w, given that w**2/6 + 670*w/3 + 3094 = 0.
-1326, -14
Factor 3*w**4/5 + 5127948*w**3/5 + 2191315762938*w**2/5 - 4382646909732*w/5 + 2191326018843/5.
3*(w - 1)**2*(w + 854659)**2/5
Let 3*h**2 - 2868*h + 372465 = 0. What is h?
155, 801
Factor 4*d**2/3 + 18272*d/3 + 18260.
4*(d + 3)*(d + 4565)/3
Factor -2*q**3/3 + 14194*q**2 - 42580*q/3.
-2*q*(q - 21290)*(q - 1)/3
Factor 3*u**2 + 3981*u.
3*u*(u + 1327)
Solve -4*y**4 - 40*y**3 - 100*y**2 = 0.
-5, 0
Suppose -2*b**