
What is y in 32*y**2 - 514*y + 32 = 0?
1/16, 16
Find a such that 338*a**4/5 - 121524*a**3/5 - 35632*a**2 - 62796*a/5 - 6498/5 = 0.
-1, -3/13, 361
Determine l so that 2*l**5/11 + 2052*l**4/11 + 542524*l**3/11 + 8316536*l**2/11 + 39471810*l/11 + 49984900/11 = 0.
-505, -7, -2
Find p, given that -236*p**3/5 - 237*p**2 - 9*p/5 + 16 = 0.
-5, -16/59, 1/4
Factor 3*a**3 + 1605*a**2 - 1626*a - 9648.
3*(a - 3)*(a + 2)*(a + 536)
Factor 5*y**2/4 - 33435*y/4 - 8360.
5*(y - 6688)*(y + 1)/4
Solve -28*j**3 + 3476*j**2 + 6560*j - 1008 = 0.
-2, 1/7, 126
Let 9*b**4/8 - 57*b**3/8 - 33*b**2/4 + 21*b = 0. Calculate b.
-2, 0, 4/3, 7
Suppose -9*y**5/4 + 173*y**4/4 - 149*y**3 - 248*y**2 + 440*y - 84 = 0. Calculate y.
-2, 2/9, 1, 6, 14
Factor 7039210*h**3 - 21124342*h**2 + 100688*h/5 - 24/5.
2*(h - 3)*(4195*h - 2)**2/5
Let -q**3/3 - 76*q**2/3 - 1508*q/3 - 2720/3 = 0. Calculate q.
-40, -34, -2
Factor -5*f**3 - 210355*f**2 - 2213827975*f - 28744224665.
-5*(f + 13)*(f + 21029)**2
Factor -4*s**5 - 120*s**4 + 1144*s**3 - 2672*s**2 + 2412*s - 760.
-4*(s - 5)*(s - 1)**3*(s + 38)
Let -2*r**4 - 36*r**3 + 378*r**2 - 964*r + 624 = 0. What is r?
-26, 1, 3, 4
Suppose -5*g**3/6 - 85*g**2/3 + 2945*g/6 - 2585/3 = 0. Calculate g.
-47, 2, 11
Factor -c**2/6 + 53345*c/6.
-c*(c - 53345)/6
Let -c**5/5 + 186*c**4/5 + 3*c**3/5 - 112*c**2 + 372*c/5 = 0. Calculate c.
-2, 0, 1, 186
Factor -2*k**2 - 4314*k + 451400.
-2*(k - 100)*(k + 2257)
Find d such that d**3 - 3537*d**2 - 7077*d - 3539 = 0.
-1, 3539
Factor -2*l**3/3 + 2710*l**2/3 - 2704*l.
-2*l*(l - 1352)*(l - 3)/3
Factor 5*k**2 + 250060*k + 3126500180.
5*(k + 25006)**2
Let t**2/5 + 78*t/5 - 648 = 0. What is t?
-108, 30
Factor -20025625*j**3 + 20133025*j**2 - 107544*j + 144.
-(j - 1)*(4475*j - 12)**2
Factor 3*u**3/4 - 495*u**2/4 + 3573*u/4 + 30615/4.
3*(u - 157)*(u - 13)*(u + 5)/4
Factor -c**3/7 - 152*c**2/7 - 6693*c/7 - 9522.
-(c + 14)*(c + 69)**2/7
Factor -1198152*d**2 + 21672*d - 98.
-2*(774*d - 7)**2
Solve -4*l**2 - 202552*l - 2564207044 = 0 for l.
-25319
Factor c**3 - 27*c**2 + 50*c.
c*(c - 25)*(c - 2)
Factor -5*j**2 + 7375*j + 1443750.
-5*(j - 1650)*(j + 175)
Find i such that -5*i**4 + 645*i**3 - 11230*i**2 - 11880*i = 0.
-1, 0, 22, 108
Factor 2*x**2/15 - 4324*x/15 + 4322/15.
2*(x - 2161)*(x - 1)/15
Factor x**3 + 3624*x**2 + 3213405*x - 127397318.
(x - 38)*(x + 1831)**2
Factor -t**2/3 - 25*t/3 - 22.
-(t + 3)*(t + 22)/3
Factor 2*g**2/7 + 22128*g/7 + 22126/7.
2*(g + 1)*(g + 11063)/7
Solve -5*n**4 - 29002*n**3 - 210308001*n**2/5 - 16821160*n - 1682000 = 0 for n.
-2900, -1/5
What is i in -5*i**2/6 - 195*i/2 + 6460/3 = 0?
-136, 19
Factor -3*y**2 + 2394*y - 410103.
-3*(y - 549)*(y - 249)
Determine l so that -195*l**3/2 - 387*l**2/4 + 3*l/4 = 0.
-1, 0, 1/130
Factor -4*y**3 + 1124*y**2 + 27880*y + 26752.
-4*(y - 304)*(y + 1)*(y + 22)
Factor 4*h**3 - 24508*h**2 + 37552380*h - 37527876.
4*(h - 3063)**2*(h - 1)
Solve 5*b**2 - 93600*b = 0.
0, 18720
Factor -80*v**2 - 2625*v + 3230.
-5*(v + 34)*(16*v - 19)
Factor -65*f**2 - 2476420*f + 571485.
-5*(f + 38099)*(13*f - 3)
What is o in 3*o**4 - 369*o**3 + 1413*o**2 + 1785*o = 0?
-1, 0, 5, 119
Solve 3*l**4/7 - 111*l**3/7 + 960*l**2/7 - 1500*l/7 = 0.
0, 2, 10, 25
Factor -2*f**2 - 20538*f.
-2*f*(f + 10269)
Determine p so that -15*p**4/7 - 99*p**3/7 + 1977*p**2/7 + 1251*p/7 - 810/7 = 0.
-15, -1, 2/5, 9
Factor -4*p**4 - 125816*p**3 - 989354116*p**2.
-4*p**2*(p + 15727)**2
Factor -3*q**5 + 126*q**4 + 264*q**3.
-3*q**3*(q - 44)*(q + 2)
Factor -5*p**2 - 620*p + 22185.
-5*(p - 29)*(p + 153)
Solve 2*c**5/7 + 62*c**4/7 - 128*c**3/7 - 296*c**2 - 480*c/7 + 9216/7 = 0 for c.
-32, -4, -3, 2, 6
Find i, given that 4*i**4 + 1048*i**3 + 78628*i**2 + 1245120*i - 1324800 = 0.
-120, -23, 1
Factor 3*y**2 - 1797*y + 111090.
3*(y - 529)*(y - 70)
Solve u**3/4 + 895*u**2/4 + 1778*u + 3548 = 0 for u.
-887, -4
Find h, given that -2*h**5 + 36*h**4 + 370*h**3 - 468*h**2 - 800*h = 0.
-8, -1, 0, 2, 25
Solve 3*t**2/5 - 14646*t + 89377215 = 0.
12205
Factor 3*w**2/2 - 5223*w - 52305/2.
3*(w - 3487)*(w + 5)/2
Factor -q**2 + 5777*q - 11550.
-(q - 5775)*(q - 2)
Factor 4*b**4 - 20616*b**3 + 26563716*b**2.
4*b**2*(b - 2577)**2
Find y such that -3*y**2/2 - 26247*y/2 - 170352 = 0.
-8736, -13
Factor 5537*u**3/4 - 8305*u**2 + 49821*u/4 + 9/2.
(u - 3)**2*(5537*u + 2)/4
Factor k**2 - 100*k + 2419.
(k - 59)*(k - 41)
Factor 5*q**4 + 9330*q**3 + 5103605*q**2 + 700832280*q + 28212067280.
5*(q + 89)**2*(q + 844)**2
Factor -3*a**3/8 + 1485*a**2/8 - 24300*a + 1913625/2.
-3*(a - 315)*(a - 90)**2/8
Factor g**2/3 - 593*g/3 - 158600/3.
(g - 793)*(g + 200)/3
What is n in 88*n**5/13 - 170*n**4/13 - 8196*n**3/13 + 23202*n**2/13 + 1620*n/13 = 0?
-10, -3/44, 0, 3, 9
Let 3*u**2/2 + 56346*u + 112686 = 0. Calculate u.
-37562, -2
Suppose -2*n**2/11 - 38316*n/11 - 183514482/11 = 0. What is n?
-9579
What is d in -4*d**3 - 11820*d**2 - 47232*d - 47216 = 0?
-2951, -2
Factor -y**3/2 + 4479*y**2/2 - 5017599*y/2 + 5013121/2.
-(y - 2239)**2*(y - 1)/2
Let 3*v**5/2 + 266*v**4/3 + 1249*v**3/3 + 1718*v**2/3 + 487*v/2 = 0. Calculate v.
-487/9, -3, -1, 0
Solve -124*c**2 + 7318*c - 118 = 0.
1/62, 59
Determine g so that -10*g**5 - 1415*g**4 + 3625*g**3 + 3575*g**2 - 3615*g - 2160 = 0.
-144, -1, -1/2, 1, 3
Find l, given that l**5/3 + 7175*l**4/3 + 21517*l**3/3 + 7169*l**2/3 - 21518*l/3 - 14344/3 = 0.
-7172, -2, -1, 1
Let 3*x**4/4 - 921*x**3/4 + 71139*x**2/4 - 68391*x/4 - 70227/2 = 0. Calculate x.
-1, 2, 153
Determine o, given that 4*o**4 + 180*o**3 + 1276*o**2 - 13860*o + 12400 = 0.
-31, -20, 1, 5
Factor q**3 - 250*q**2 + 3051*q + 7110.
(q - 237)*(q - 15)*(q + 2)
Suppose 2*m**3/17 + 6882*m**2/17 - 405660*m/17 + 783776/17 = 0. What is m?
-3499, 2, 56
Factor -k**2 - 213038*k - 213037.
-(k + 1)*(k + 213037)
Let 3*c**4 + 951*c**3 - 366660*c**2 + 34355664*c - 1011745728 = 0. What is c?
-569, 84
Factor -a**3/3 - 1008*a**2 + 39469*a/3 - 12148.
-(a - 12)*(a - 1)*(a + 3037)/3
Determine z so that -2*z**3/13 + 1488*z**2/13 - 96810*z/13 + 1651300/13 = 0.
35, 674
Solve -n**2 + 2731*n - 13630 = 0 for n.
5, 2726
Factor 6*q**2/11 - 1200*q/11 - 16614/11.
6*(q - 213)*(q + 13)/11
Factor -242*t**2/13 + 242176*t/13 - 60588032/13.
-2*(11*t - 5504)**2/13
Factor -2*t**2/7 + 272464*t/7 - 9279578912/7.
-2*(t - 68116)**2/7
Factor 4*z**4/3 + 613876*z**3/3 + 10467949968*z**2 + 178506461351232*z + 178495993605888.
4*(z + 1)*(z + 51156)**3/3
Determine m so that -m**4/3 + 1889*m**3/3 - 11253*m**2 + 50553*m - 67356 = 0.
3, 12, 1871
Factor -4*m**4 - 92*m**3 - 376*m**2 - 288*m.
-4*m*(m + 1)*(m + 4)*(m + 18)
Factor 3*k**2 - 2676*k + 18585.
3*(k - 885)*(k - 7)
Let -4*v**4/7 + 18*v**3/7 - 6*v**2/7 - 8*v/7 = 0. What is v?
-1/2, 0, 1, 4
Factor -2*d**3 + 4550*d**2 - 206126*d + 2358282.
-2*(d - 2229)*(d - 23)**2
Suppose -5*l**2 + 60900*l + 60905 = 0. What is l?
-1, 12181
Determine n so that 5*n**5/4 - 985*n**4/2 + 88735*n**3/2 + 825655*n**2 + 6064925*n/4 + 1470875/2 = 0.
-14, -1, 205
What is x in -3*x**3/5 - 3057*x**2/5 - 200145*x - 21280875 = 0?
-469, -275
Find w such that 2*w**5/7 - 428*w**4/7 + 19608*w**3/7 - 34588*w**2/7 - 129722*w/7 - 10728 = 0.
-1, 4, 63, 149
Find l, given that 4*l**5 - 22*l**4 - 14*l**3 + 12*l**2 = 0.
-1, 0, 1/2, 6
Solve -2*k**5 + 41696*k**4 + 166852*k**3 - 750712*k**2 + 834094*k - 291928 = 0.
-7, 1, 20852
Find b such that 9*b**5 - 888*b**4 + 26805*b**3 - 200502*b**2 - 1088304*b + 806880 = 0.
-4, 2/3, 20, 41
Let -r**3/3 + 106611*r**2 + 213223*r + 319835/3 = 0. Calculate r.
-1, 319835
Suppose -x**4/2 - 1337*x**3 + 13401*x**2/2 + 8037*x = 0. Calculate x.
-2679, -1, 0, 6
Factor -10*y**2/3 - 5152*y - 3090.
-2*(y + 1545)*(5*y + 3)/3
Determine p so that 2*p**5/7 - 102*p**4/7 - 17660*p**3/7 - 103352*p**2/7 - 204912*p/7 - 136000/7 = 0.
-68, -2, 125
Suppose -3*g**4 - 16992*g**3 - 16974*g**2 + 84936*g - 50967 = 0. What is g?
-5663, -3, 1
Factor 5*q**3 + 4780*q**2 + 1316720*q + 79840320.
5*(q + 84)*(q + 436)**2
What is h in -h**2 + 45748*h + 549120 = 0?
-12, 45760
Determine u so that 5*u**5 + 1930*u**4 + 186240*u**3 - 1930*u**2 - 186245*u = 0.
-193, -1, 0, 1
Find p, given that -46*p**4 - 1354*p**3 + 6858*p**2 - 9470*p + 4012 = 0.
-34, 1, 59/23
Let 2*h**5/23 - 98*h**4/23 + 1278*h**3/23 - 5022*h**2/23 = 0. Calculate h.
0, 9, 31
Factor -2*s**2/3 - 27182*s + 163100/3.
-2*(s - 2)*(s + 40775)/3
Factor 11*m**4 + 26*m*