582450.
2*(m - 31649)*(m + 5)**2
Find x, given that 4*x**3 - 7716*x**2 - 108808*x = 0.
-14, 0, 1943
Factor -4*z**2 - 10564*z - 31656.
-4*(z + 3)*(z + 2638)
Factor -4*z**4 - 44*z**3 + 4072*z**2 + 8288*z.
-4*z*(z - 28)*(z + 2)*(z + 37)
Determine m so that -4*m**5/7 + 164*m**4/7 - 44*m**3 - 164*m**2/7 + 312*m/7 = 0.
-1, 0, 1, 2, 39
Determine q, given that 3*q**2/4 + 1749*q/2 + 17415/4 = 0.
-1161, -5
Let 8*r**5 + 80*r**4 - 1310166*r**3 + 200637302*r**2 - 199654720*r + 49831800 = 0. Calculate r.
-471, 1/2, 230
What is m in -m**2 + 381*m - 35910 = 0?
171, 210
Determine i so that -40*i**5 + 108250*i**4 - 72156155*i**3 - 1470540385*i**2 + 1977665295*i + 585197235 = 0.
-21, -1/4, 3/2, 1363
Find b such that -2*b**5 + 644*b**4 - 60752*b**3 + 564512*b**2 + 110835040*b - 223452352 = 0.
-34, 2, 118
Suppose -7*h**5/3 + 8404*h**4/3 - 2541544*h**3/3 + 11495968*h**2/3 - 15753712*h/3 + 5721664/3 = 0. Calculate h.
4/7, 2, 598
Factor -3*r**2 + 1449*r + 16302.
-3*(r - 494)*(r + 11)
Factor -5*i**5 - 140*i**4 + 30*i**3 + 800*i**2 - 1105*i + 420.
-5*(i - 1)**3*(i + 3)*(i + 28)
Factor -8427*d**5 + 19875*d**4 + 96600*d**3 + 73500*d**2.
-3*d**2*(d - 5)*(53*d + 70)**2
Suppose -12*m**4 - 19324*m**3 + 1196692*m**2 + 1623484*m + 407480 = 0. Calculate m.
-1670, -1, -1/3, 61
Let -r**2/6 + 17242*r/3 - 148643282/3 = 0. Calculate r.
17242
Factor -18*p**3 + 24960*p**2 + 33304*p + 11104.
-2*(p - 1388)*(3*p + 2)**2
Factor -q**3/4 - 1157*q**2/4 - 84384*q - 414720.
-(q + 5)*(q + 576)**2/4
Factor 4*y**3 - 725*y**2 - 556*y + 1820.
(y - 182)*(y + 2)*(4*y - 5)
Determine b, given that -4*b**3 + 185292*b**2 + 185296*b = 0.
-1, 0, 46324
Factor 5*k**2 + 31485*k - 441770.
5*(k - 14)*(k + 6311)
Suppose p**5/4 + 69*p**4/4 + 195*p**3/2 + 191*p**2 + 126*p = 0. What is p?
-63, -2, 0
Factor 3*k**2 - 17049*k + 17046.
3*(k - 5682)*(k - 1)
Let -t**3/4 - 137*t**2 - 1089*t/4 + 819/2 = 0. Calculate t.
-546, -3, 1
Solve -3*l**5 - 159*l**4 - 1899*l**3 - 7329*l**2 - 5586*l = 0 for l.
-38, -7, -1, 0
Let -2*v**3/5 + 404*v**2/5 + 4262*v/5 - 4664/5 = 0. What is v?
-11, 1, 212
Suppose -8*o**4 + 69*o**3 + 5579*o**2 + 12834*o + 4032 = 0. What is o?
-21, -2, -3/8, 32
Suppose -2*w**3/3 + 1234*w**2/3 + 1654*w + 1242 = 0. Calculate w.
-3, -1, 621
Let 7*c**5/3 + 2*c**4 - 49*c**3/3 - 28*c**2 - 12*c = 0. What is c?
-2, -1, -6/7, 0, 3
Solve 4*b**4 - 6724*b**3 + 2808892*b**2 + 14186004*b + 11370384 = 0.
-4, -1, 843
Solve -3*v**2/4 - 64827*v/2 - 1400846643/4 = 0 for v.
-21609
Find t such that 1540*t**5/3 + 1163*t**4/3 - 3587*t**3/3 + 656*t**2/3 + 292*t/3 - 64/3 = 0.
-2, -16/55, 1/4, 2/7, 1
Solve -5*c**4/2 - 8405*c**3/4 + 29565*c**2/4 + 5270*c - 4220 = 0 for c.
-844, -1, 1/2, 4
Factor -2*l**2/17 + 186*l/17 - 364/17.
-2*(l - 91)*(l - 2)/17
Solve 3*m**4 - 38391*m**3 + 115155*m**2 - 115149*m + 38382 = 0.
1, 12794
Find o such that -2*o**3/7 - 118*o**2/7 - 1390*o/7 + 1450 = 0.
-35, -29, 5
Factor b**4/8 - 27*b**3/8 - 575*b**2/4.
b**2*(b - 50)*(b + 23)/8
Suppose 25*q**4 + 305*q**3 + 1085*q**2 + 955*q + 150 = 0. What is q?
-6, -5, -1, -1/5
Factor 4*t**2 - 2364*t + 188480.
4*(t - 496)*(t - 95)
Suppose -2*t**3/3 - 58*t**2/3 + 64*t/3 + 40 = 0. Calculate t.
-30, -1, 2
Let -p**4 - 13066*p**3 + 78423*p**2 - 117648*p = 0. Calculate p.
-13072, 0, 3
Determine b so that -570*b**5/17 + 938*b**4/17 + 2490*b**3/17 - 138*b**2/17 - 1144*b/17 - 24/17 = 0.
-1, -2/95, 2/3, 3
Find n, given that -9*n**5/5 - 266*n**4 - 4857*n**3/5 + 5796*n**2/5 + 5184*n = 0.
-144, -3, 0, 20/9
Factor p**3 - 669*p**2 - 4720*p - 8112.
(p - 676)*(p + 3)*(p + 4)
Find c such that -4*c**2/7 - 123308*c/7 = 0.
-30827, 0
Solve 3*n**2 - 1344*n + 6645 = 0 for n.
5, 443
Factor -3*z**3 - 231*z**2 + 471*z - 237.
-3*(z - 1)**2*(z + 79)
Factor 2*z**3/5 - 3763*z**2/5 - 1882*z/5.
z*(z - 1882)*(2*z + 1)/5
Find t such that 7220*t**5 + 426284*t**4 - 4278404*t**3/5 + 2019124*t**2/5 + 90784*t/5 + 976/5 = 0.
-61, -2/95, 1
Factor -2*d**2/7 + 3918*d/7 + 560.
-2*(d - 1960)*(d + 1)/7
Solve -55*c**3 - 83360*c**2 + 30320*c = 0.
-1516, 0, 4/11
Factor 2*i**2/9 - 2234036*i/9 + 623864606162/9.
2*(i - 558509)**2/9
Factor r**2 - 389*r - 20492.
(r - 436)*(r + 47)
Find u, given that 3*u**2/4 - 13887*u/4 - 62613/2 = 0.
-9, 4638
Let -2*g**5 + 479110*g**4/13 - 2943111284*g**3/13 + 6028095209624*g**2/13 - 7878767099728*g/13 + 1853614522304/13 = 0. What is g?
4/13, 1, 6142
Solve -y**5/3 - 17*y**4/3 + 182*y**3/3 + 2734*y**2/3 - 181*y/3 - 2717/3 = 0.
-19, -11, -1, 1, 13
Solve 3*f**5/8 + 21*f**4/4 - 9*f**3/8 - 15*f**2 + 21*f/2 = 0 for f.
-14, -2, 0, 1
Factor 3*d**3 - 2319*d**2 - 106392*d - 1186284.
3*(d - 817)*(d + 22)**2
Factor 1058*g**3/7 - 24702*g**2/7 + 8496*g/7 - 736/7.
2*(g - 23)*(23*g - 4)**2/7
Solve 3*q**5 - 59*q**4 - 168*q**3 + 1796*q**2 - 480*q - 4032 = 0 for q.
-6, -4/3, 2, 4, 21
Factor -z**2/2 - 2213*z/2 - 139293.
-(z + 134)*(z + 2079)/2
Suppose -5*x**4 - 1575*x**3 - 128915*x**2 - 3370005*x - 11516900 = 0. What is x?
-205, -53, -4
Factor -3*t**4/4 - 339*t**3 - 106821*t**2/2 - 3251391*t - 201770283/4.
-3*(t + 23)*(t + 143)**3/4
Factor -y**5/5 + 119*y**4/5 + 241*y**3/5 + 121*y**2/5.
-y**2*(y - 121)*(y + 1)**2/5
Factor -w**3/3 + 295*w**2/3 - 2008*w/3 - 768.
-(w - 288)*(w - 8)*(w + 1)/3
Factor u**3/4 + 121*u**2 - 21651*u/4 + 115983/2.
(u - 21)**2*(u + 526)/4
Suppose 3*x**2 + 12909*x + 12906 = 0. What is x?
-4302, -1
Factor -5*i**2 + 7173830*i - 2573191843445.
-5*(i - 717383)**2
Let x**2/4 - 2243*x = 0. Calculate x.
0, 8972
Factor -2*j**3/5 - 48*j**2/5 + 294*j + 3116/5.
-2*(j - 19)*(j + 2)*(j + 41)/5
Factor -4*v**3 - 236*v**2 - 540*v + 55692.
-4*(v - 13)*(v + 21)*(v + 51)
Factor -5*i**3 + 427960*i**2 + 427965*i.
-5*i*(i - 85593)*(i + 1)
Factor -4*w**2/3 + 2044336*w/3 + 2044340/3.
-4*(w - 511085)*(w + 1)/3
Find a, given that 559*a**3/2 - 3*a**2 - 559*a/2 + 3 = 0.
-1, 6/559, 1
Factor 3*j**4 + 3324*j**3 + 969258*j**2 + 26874540*j + 196101675.
3*(j + 15)**2*(j + 539)**2
Solve 644*j**5/17 + 2746*j**4/17 + 3896*j**3/17 + 2122*j**2/17 + 320*j/17 - 8/17 = 0.
-2, -1, -2/7, 1/46
Factor 2*n**4/3 - 1630*n**3/3 + 54834*n**2 - 5883962*n/3 + 71319424/3.
2*(n - 704)*(n - 37)**3/3
Factor -7*v**2 + 3797*v + 33060.
-(v - 551)*(7*v + 60)
Let -3*w**5 + 359*w**4/4 + 201*w**3/2 + 31*w**2/4 = 0. Calculate w.
-1, -1/12, 0, 31
Factor -2*x**4 + 72*x**3 - 294*x**2 - 6424*x - 14520.
-2*(x - 22)**2*(x + 3)*(x + 5)
Suppose 4*w**4 + 2048*w**3 - 8240*w**2 + 8256*w = 0. What is w?
-516, 0, 2
Suppose -2*m**4/7 - 1778540*m**3/7 - 3557074*m**2/7 - 1778536*m/7 = 0. What is m?
-889268, -1, 0
Let -j**5 - 173*j**4/3 - 922*j**3 - 8572*j**2/3 - 2952*j - 960 = 0. What is j?
-30, -24, -2, -1, -2/3
Suppose -g**5 + 52*g**4 + 109*g**3 - 52*g**2 - 108*g = 0. Calculate g.
-2, -1, 0, 1, 54
Find k, given that 4*k**4/21 + 158*k**3/21 + 230*k**2/21 + 76*k/21 = 0.
-38, -1, -1/2, 0
Determine q, given that q**5 + 6*q**4 - 591*q**3 - 6056*q**2 - 5460*q = 0.
-21, -10, -1, 0, 26
Factor -q**3 - 242326*q**2 - 14680472569*q.
-q*(q + 121163)**2
Factor l**3/4 - 307*l**2/2 - 33967*l/4 + 8645.
(l - 665)*(l - 1)*(l + 52)/4
Factor -5*d**2/4 - 24925*d - 124251125.
-5*(d + 9970)**2/4
Factor v**3/3 + 407*v**2/3 + 802*v/3 - 1080.
(v - 2)*(v + 4)*(v + 405)/3
Factor 5*z**3 - 127730*z**2.
5*z**2*(z - 25546)
Factor -4*i**3 - 1744*i**2 + 19772*i + 46488.
-4*(i - 13)*(i + 2)*(i + 447)
Factor 4*c**4 + 1752*c**3 + 3472*c**2 - 7008*c - 13952.
4*(c - 2)*(c + 2)**2*(c + 436)
Factor 4*a**4/9 - 716*a**3/9 - 2912*a**2/9 - 976*a/3.
4*a*(a - 183)*(a + 2)**2/9
Find p, given that -p**5 + 26*p**4 - 153*p**3 - 180*p**2 = 0.
-1, 0, 12, 15
Suppose 4*y**2/7 - 1520*y = 0. What is y?
0, 2660
Find z, given that z**4/7 - 67*z**3/7 - 64*z**2/7 + 4288*z/7 = 0.
-8, 0, 8, 67
Solve x**3/4 + 3043*x**2/4 + 6083*x/4 + 3041/4 = 0 for x.
-3041, -1
What is r in -4*r**5 + 344*r**4 - 8928*r**3 + 66368*r**2 - 169024*r + 138624 = 0?
2, 6, 38
Factor -3*x**3/4 - 171*x**2/4 + 5967*x/4 + 351135/4.
-3*(x - 45)*(x + 51)**2/4
Let -b**3/10 - 419*b**2/10 + 2*b/5 + 838/5 = 0. Calculate b.
-419, -2, 2
Determine x so that -2*x**2/7 + 22818*x/7 + 68472/7 = 0.
-3, 11412
Determine b so that -5*b**4 - 1335*b**3 - 56970*b**2 - 55640*b = 0.
-214, -52, -1, 0
Solve -3*w**2 - 357*w + 42846 = 0 for w.
-193, 74
Solve -115320*x**5 - 300049*x**4/3 + 51875*x**3/3 + 2053*x**2 + 197*x/3 + 2/3 = 0.
-1, -1/31, -1/40, 2/9
Find s, given that 85*s**3