 that y**3/7 + 1150*y**2/7 - 1151*y/7 = 0.
-1151, 0, 1
Let -h**4/4 - 21*h**3 - 1785*h**2/4 - 5225*h/2 = 0. Calculate h.
-55, -19, -10, 0
Factor b**2/5 - 2088*b/5 - 19197.
(b - 2133)*(b + 45)/5
Factor -u**2/3 + 57818*u/3 - 835730281/3.
-(u - 28909)**2/3
Determine p, given that -4*p**3 - 23568*p**2 - 34715664*p = 0.
-2946, 0
Factor 2*y**3/19 + 94958*y**2/19 + 1126890288*y/19 - 5636825640/19.
2*(y - 5)*(y + 23742)**2/19
Factor s**2/4 - 2745*s/4 - 1373/2.
(s - 2746)*(s + 1)/4
Find g, given that g**4/4 + 59*g**3/2 + 2977*g**2/4 - 7434*g + 15876 = 0.
-63, 4
Factor -5*p**3 - 10480*p**2 + 362460*p + 766800.
-5*(p - 36)*(p + 2)*(p + 2130)
Suppose p**5/11 + 128*p**4/11 + 127*p**3/11 = 0. What is p?
-127, -1, 0
What is h in -h**4 + 72*h**3 + 714*h**2 + 1208*h + 567 = 0?
-7, -1, 81
Factor -3*f**2 - 771*f - 8820.
-3*(f + 12)*(f + 245)
Let -5*r**4 - 725*r**3 - 21000*r**2 = 0. What is r?
-105, -40, 0
Factor -5*i**4 + 3415*i**3 + 63090*i**2.
-5*i**2*(i - 701)*(i + 18)
Suppose -4*d**5/7 + 47*d**4/7 - 188*d**3/7 + 286*d**2/7 - 96*d/7 - 45/7 = 0. What is d?
-1/4, 1, 3, 5
Factor 13794605*l**3 - 13861045*l**2 + 66520*l - 80.
5*(l - 1)*(1661*l - 4)**2
Factor 5*x**2 + 16045*x + 476850.
5*(x + 30)*(x + 3179)
What is a in -6*a**4 + 14422*a**3/3 + 3744*a**2 - 3208*a/3 = 0?
-1, 0, 2/9, 802
Factor -s**3 - 40*s**2 - 507*s - 2052.
-(s + 9)*(s + 12)*(s + 19)
What is d in 2*d**2 - 136992*d + 2345851008 = 0?
34248
Factor -4*l**2/3 - 1268*l/3 + 83552/3.
-4*(l - 56)*(l + 373)/3
Suppose 21*w**2/2 + 17181*w/2 + 1227 = 0. What is w?
-818, -1/7
Find f, given that -27*f**3/4 + 6870*f**2 + 33621*f/4 + 3057/2 = 0.
-1, -2/9, 1019
Factor -r**2/5 + 20902*r/5 + 20903/5.
-(r - 20903)*(r + 1)/5
Find q, given that -4*q**5 - 20960*q**4 + 504608*q**3 - 3872384*q**2 + 10105280*q - 8422400 = 0.
-5264, 2, 10
Factor -n**2/4 + 1533*n + 55269/4.
-(n - 6141)*(n + 9)/4
Find q, given that -4*q**4 + 849368*q**3 - 849364*q**2 = 0.
0, 1, 212341
Find s such that -s**4/4 + 2943*s**3/2 + 39927*s**2 - 168535*s/2 + 171477/4 = 0.
-29, 1, 5913
Factor 5*f**2 + 440*f - 4365.
5*(f - 9)*(f + 97)
Factor -p**3/8 - 283167*p**2/8 - 20046029055*p/8 - 20045745889/8.
-(p + 1)*(p + 141583)**2/8
Factor 2*x**3/5 + 4*x**2/5 - 9118*x/5 - 27336/5.
2*(x - 68)*(x + 3)*(x + 67)/5
Factor -159*t**3 + 334*t**2 - 32*t.
-t*(t - 2)*(159*t - 16)
What is x in -16*x**3 - 1364548*x**2 - 3070160*x - 682256 = 0?
-85282, -2, -1/4
Factor -5*i**2 + 9915*i + 2230740.
-5*(i - 2187)*(i + 204)
Factor 122*f**2 - 216*f + 94.
2*(f - 1)*(61*f - 47)
Find x, given that -4*x**2 - 2244*x - 45360 = 0.
-540, -21
Factor -b**3 + 358*b**2 + 1445*b + 1086.
-(b - 362)*(b + 1)*(b + 3)
Determine d so that -6*d**3/5 + 586*d**2/5 - 12868*d/5 + 1664 = 0.
2/3, 32, 65
Let -58*u**4/11 - 1908*u**3/11 - 14592*u**2/11 - 31820*u/11 + 3450/11 = 0. Calculate u.
-23, -5, 3/29
Determine u so that 350*u**4/9 - 2330*u**3/3 + 44348*u**2/9 - 28096*u/3 - 18688/9 = 0.
-1/5, 146/35, 8
Determine f so that 2*f**5/7 + 328*f**4/7 + 138*f**3 = 0.
-161, -3, 0
Factor 2*t**3 - 1874*t**2 + 436160*t + 1325400.
2*(t - 470)**2*(t + 3)
Solve 2*f**5 - 1090*f**4 - 3282*f**3 - 3286*f**2 - 1096*f = 0.
-1, 0, 548
Let -34*u**5 - 4218*u**4 - 126660*u**3 + 258172*u**2 - 119322*u - 7938 = 0. Calculate u.
-63, -1/17, 1
Determine c, given that -3*c**2 + 312000*c - 8112000000 = 0.
52000
Determine g so that -g**3/4 - 3957*g**2/4 = 0.
-3957, 0
Suppose -2*d**4/5 - 972*d**3/5 - 3806*d**2/5 + 24156*d/5 + 26992/5 = 0. What is d?
-482, -7, -1, 4
Solve -10*p**4/11 - 72*p**3/11 - 152*p**2/11 - 96*p/11 = 0 for p.
-4, -2, -6/5, 0
Let 6*x**4 - 513*x**3/2 + 4983*x**2/2 - 5841*x - 1620 = 0. Calculate x.
-1/4, 4, 9, 30
Factor -3*t**3 - 138*t**2 - 597*t + 738.
-3*(t - 1)*(t + 6)*(t + 41)
Factor 3*i**4/2 - 81*i**3 - 2613*i**2/2.
3*i**2*(i - 67)*(i + 13)/2
Solve 2*q**3/11 - 1046*q**2/11 + 6222*q/11 - 846 = 0.
3, 517
Factor -n**2 + 750329*n.
-n*(n - 750329)
Factor b**3/4 - 835*b**2/4 - 1471*b - 2105.
(b - 842)*(b + 2)*(b + 5)/4
Factor -y**2/3 + 993*y + 23896/3.
-(y - 2987)*(y + 8)/3
Find d such that -4*d**2 - 293272*d - 879780 = 0.
-73315, -3
Factor 4*i**2/9 - 4168*i/9 + 642208/9.
4*(i - 854)*(i - 188)/9
Factor 2*m**2 - 30200*m + 30198.
2*(m - 15099)*(m - 1)
Factor g**3 - 5752*g**2 + 108945*g - 103194.
(g - 5733)*(g - 18)*(g - 1)
Find u such that -5*u**3 + 26725*u**2 + 133720*u + 160500 = 0.
-3, -2, 5350
Suppose 2*z**2/9 + 15104*z + 256647168 = 0. What is z?
-33984
Factor 33*b**2 - 108*b - 285.
3*(b - 5)*(11*b + 19)
Let 5*j**2 - 295310*j + 4360399805 = 0. Calculate j.
29531
Find j such that 10*j**3/3 - 1136*j**2 + 45362*j/3 - 25724 = 0.
2, 59/5, 327
Factor -j**2/3 + 14363*j + 43092.
-(j - 43092)*(j + 3)/3
Determine u so that -162*u**4 - 411390*u**3 - 593972*u**2 - 203048*u - 20304 = 0.
-2538, -1, -2/9
Solve -3*k**4/7 - 111*k**3 + 72885*k**2/7 + 65847*k + 387270/7 = 0 for k.
-331, -5, -1, 78
Solve 2*b**3 + 378*b**2 + 1840*b = 0.
-184, -5, 0
Factor -2*s**3 + 139286*s**2 + 557168*s + 557176.
-2*(s - 69647)*(s + 2)**2
Factor u**3/5 + 23*u**2/5 - 21*u + 81/5.
(u - 3)*(u - 1)*(u + 27)/5
Find v, given that 4*v**5/3 - 9440*v**4/3 + 5541208*v**3/3 + 33502576*v**2/3 + 50343748*v/3 + 22391824/3 = 0.
-4, -1, 1183
Find y, given that -3*y**2/5 + 1130784*y/5 - 106556037888/5 = 0.
188464
Let -27*u**3 + 37158*u**2 - 668244*u + 146664 = 0. Calculate u.
2/9, 18, 1358
Determine u so that -u**4 - 541*u**3 - 10959*u**2 - 20299*u - 9880 = 0.
-520, -19, -1
Find q such that -3*q**3 + 3165*q**2 = 0.
0, 1055
Determine u, given that -4*u**4 - 364*u**3 - 336*u**2 + 2160*u = 0.
-90, -3, 0, 2
What is b in b**4/2 + 313*b**3/2 + 26153*b**2/2 + 259871*b/2 + 342015 = 0?
-151, -6, -5
Determine b, given that -525*b**4 - 22158*b**3 + 18051*b**2 + 5148*b - 516 = 0.
-43, -2/7, 2/25, 1
Suppose -18*u**4 + 273*u**3 + 273*u**2 - 528*u = 0. What is u?
-11/6, 0, 1, 16
Factor 5*j**2 + 4240480*j + 899083531520.
5*(j + 424048)**2
Find t, given that 3*t**4 + 14805*t**3 + 14799*t**2 - 14805*t - 14802 = 0.
-4934, -1, 1
Find u, given that -2*u**3/13 - 4554*u**2 - 438198390*u/13 - 1314062406/13 = 0.
-14799, -3
Factor 3*x**2 + 13710*x + 286587.
3*(x + 21)*(x + 4549)
Suppose -3*o**5 + 822*o**4 - 53760*o**3 - 352800*o**2 = 0. Calculate o.
-6, 0, 140
Solve -4*s**3 - 3092*s**2 - 570380*s + 10609700 = 0 for s.
-395, 17
Find u such that -3*u**4 + 228*u**3 - 3852*u**2 - 18240*u - 19200 = 0.
-2, 40
Determine u so that -2*u**4/9 - 56*u**3/9 + 14*u**2/9 + 404*u/9 + 112/3 = 0.
-28, -2, -1, 3
Let -3*j**5 - 6*j**4 + 27*j**3 + 6*j**2 - 24*j = 0. What is j?
-4, -1, 0, 1, 2
Factor t**5 - 50*t**4 + 684*t**3 - 2520*t**2.
t**2*(t - 30)*(t - 14)*(t - 6)
Factor 4*g**2/7 + 640*g/7 + 16384/7.
4*(g + 32)*(g + 128)/7
Factor -c**2/3 - 928*c - 645888.
-(c + 1392)**2/3
Suppose -u**3/5 + 109*u**2 - 2168*u/5 + 2164/5 = 0. Calculate u.
2, 541
Determine t so that -4*t**5/3 - 376*t**4/9 + 224*t**3 = 0.
-36, 0, 14/3
Suppose 5*t**3 + 75*t**2 - 17760*t + 17680 = 0. What is t?
-68, 1, 52
Suppose 2*f**3/15 + 8742*f**2/5 + 26216*f/3 = 0. What is f?
-13108, -5, 0
Factor -1135*y**3 - 115740*y**2 - 2949075*y + 78030.
-5*(y + 51)**2*(227*y - 6)
Factor q**2 - 1210620*q + 366400196100.
(q - 605310)**2
Determine s so that 2*s**5/5 - 1266*s**4/5 - 16684*s**3/5 - 72168*s**2/5 - 118768*s/5 - 62016/5 = 0.
-6, -4, -2, -1, 646
Factor 367205*p**4 - 2644960*p**3 + 3592160*p**2 + 4216320*p + 933120.
5*(p - 4)**2*(271*p + 108)**2
Let 6*q**3/7 - 5846*q**2/7 + 3604*q - 7760/7 = 0. Calculate q.
1/3, 4, 970
Factor 3*f**2/2 + 31131*f/2 + 31125.
3*(f + 2)*(f + 10375)/2
Find p such that -p**4/7 - 54*p**3 - 19079*p**2/7 + 54*p + 19080/7 = 0.
-318, -60, -1, 1
Determine n, given that -n**4/5 - 7956*n**3/5 - 15907*n**2/5 + 7956*n/5 + 15908/5 = 0.
-7954, -2, -1, 1
Let -20*n**5/3 - 397*n**4/3 - 2300*n**3/3 - 1082*n**2 - 360*n + 81 = 0. Calculate n.
-9, -1, 3/20
Find a, given that 25*a**2 + 292*a + 187 = 0.
-11, -17/25
Factor 2*l**2/7 + 22866*l/7.
2*l*(l + 11433)/7
Factor 5*q**5 - 5750*q**4 + 1624125*q**3 + 16675000*q**2 + 42050000*q.
5*q*(q - 580)**2*(q + 5)**2
Determine i so that 36*i**4 + 4292*i**3 + 47176*i**2 + 10272*i = 0.
-107, -12, -2/9, 0
Find q such that -5*q**4/6 - 35285*q**3/3 - 247803665*q**2/6 + 1414434510*q - 12051655470 = 0.
-7074, 17
Determine t so that -147*t**4 - 126*t**3 + 123*t**2 + 126*t + 24 = 0.
-1, -4/7, -2/7, 1
What is t i