 + 1)/2
Suppose 298*u**5 - 25326*u**4 + 398086*u**3 - 716706*u**2 + 338968*u + 4680 = 0. Calculate u.
-2/149, 1, 18, 65
What is j in -4*j**3/3 + 2000*j**2 - 95132*j/3 + 77168 = 0?
3, 13, 1484
Find o such that -540*o**4 + 4476*o**3 + 3856*o**2 - 3664*o + 576 = 0.
-4/3, 2/9, 2/5, 9
Suppose 3*i**2 + 2202*i + 10935 = 0. What is i?
-729, -5
Determine s so that -5*s**2 + 9745*s + 520260 = 0.
-52, 2001
Factor 2*w**2/5 + 26*w - 10848/5.
2*(w - 48)*(w + 113)/5
Solve u**5/9 - 325*u**4/9 + 8963*u**3/3 - 78407*u**2/9 + 51842*u/9 = 0 for u.
0, 1, 2, 161
Find q such that -5*q**4 + 6530*q**3 - 97140*q**2 + 406910*q - 316295 = 0.
1, 7, 1291
Factor t**3 - 205*t**2 - 77806*t - 77600.
(t - 400)*(t + 1)*(t + 194)
Determine w so that 2*w**5/15 + 38*w**4/3 + 176*w**3/5 - 2248*w**2/15 - 3584*w/15 + 2944/5 = 0.
-92, -4, -3, 2
Find b such that b**4/4 - 11*b**3/4 - 81*b**2/4 + 11*b/4 + 20 = 0.
-5, -1, 1, 16
Factor -2*t**2/7 + 150*t/7 - 2700/7.
-2*(t - 45)*(t - 30)/7
Find f such that -2*f**4/13 + 902*f**3/13 - 2692*f**2/13 + 1792*f/13 = 0.
0, 1, 2, 448
Find l such that 75*l**3/7 - 357006*l**2/7 + 385485*l/7 - 28554/7 = 0.
2/25, 1, 4759
Factor 4*s**2/3 + 420512*s/3 + 11051896384/3.
4*(s + 52564)**2/3
Solve -31*f**3/2 + 528*f**2 - 4126*f + 264 = 0 for f.
2/31, 12, 22
Let 77*d**3/3 - 6577*d**2 + 4858*d/3 + 512 = 0. Calculate d.
-2/11, 3/7, 256
Solve -b**5/6 - 8*b**4/3 - 8*b**3/3 + 31*b**2 + 75*b/2 - 63 = 0 for b.
-14, -3, 1, 3
Let -38*t**4/3 - 454*t**3/3 + 2690*t**2/3 + 3862*t/3 - 2020 = 0. Calculate t.
-303/19, -2, 1, 5
Factor -2*x**3/7 - 380*x**2.
-2*x**2*(x + 1330)/7
Determine f, given that f**5/8 + 195*f**4/2 - 1563*f**3/8 + 391*f**2/4 = 0.
-782, 0, 1
Factor -3*c**2/4 - 609*c - 8379.
-3*(c + 14)*(c + 798)/4
Factor -3*u**4/7 + 40497*u**3/7 - 182128410*u**2/7 + 272462777772*u/7 + 273739662024.
-3*(u - 4502)**3*(u + 7)/7
Solve 5*j**5 + 20*j**4 - 2850*j**3 + 7760*j**2 + 24125*j + 13500 = 0.
-27, -1, 5, 20
Factor -5*g**2 + 1068160*g - 57048289280.
-5*(g - 106816)**2
Let 2*s**4/7 + 29108*s**3/7 = 0. Calculate s.
-14554, 0
Determine r, given that 2*r**2/13 - 108*r/13 - 5984/13 = 0.
-34, 88
Factor u**3/2 + 87*u**2 - 541*u/2 - 885.
(u - 5)*(u + 2)*(u + 177)/2
Suppose 5*o**4 - 265*o**3 - 4860*o**2 - 16640*o + 21760 = 0. What is o?
-8, 1, 68
Solve -2*n**5 + 76*n**4 - 144*n**3 - 4*n**2 + 146*n - 72 = 0.
-1, 1, 36
What is o in 4*o**5 + 394*o**4/3 + 3092*o**3/3 + 3058*o**2 + 11240*o/3 + 4600/3 = 0?
-23, -5, -2, -5/6
Factor -1958*u**2 - 14*u.
-2*u*(979*u + 7)
Factor 2*r**4/9 + 21664*r**3/3 + 176019998*r**2/3 + 1055860036*r/9.
2*r*(r + 2)*(r + 16247)**2/9
Let -3*o**3 + 891*o**2 - 24642*o - 25536 = 0. What is o?
-1, 32, 266
What is b in 5*b**3 + 2175*b**2 + 43570*b + 41400 = 0?
-414, -20, -1
Suppose -3*d**4/5 + 5880*d**3 - 88173*d**2/5 = 0. Calculate d.
0, 3, 9797
Determine j so that -j**3/5 - 12928*j**2/5 + j/5 + 12928/5 = 0.
-12928, -1, 1
Factor -3*s**2/2 + 17397*s/2 - 8697.
-3*(s - 5798)*(s - 1)/2
Let 3*z**2/5 + 1782*z/5 + 50232 = 0. Calculate z.
-364, -230
Let 10*s**5 - 195*s**4 + 25*s**3 + 1305*s**2 + 505*s - 570 = 0. What is s?
-2, -1, 1/2, 3, 19
Factor 2*f**2 - 184352*f + 4248207488.
2*(f - 46088)**2
Factor 4*w**2 - 626816*w + 626812.
4*(w - 156703)*(w - 1)
Factor -y**3/2 - 101*y**2 - 1520*y - 5952.
-(y + 8)**2*(y + 186)/2
Suppose 4*h**4 + 16*h**3 - 24*h**2 - 16*h + 20 = 0. What is h?
-5, -1, 1
Let -c**5/4 - 1597*c**4/4 + c**3/2 + 1597*c**2/2 - c/4 - 1597/4 = 0. What is c?
-1597, -1, 1
Solve -3*i**2 - 16185*i = 0 for i.
-5395, 0
Find p such that -p**2/9 + 406*p/9 - 808/9 = 0.
2, 404
Factor 2*f**3/5 + 1402*f**2/5 + 281488*f/5 + 17436488/5.
2*(f + 146)**2*(f + 409)/5
Factor -2*v**3 + 92*v**2 + 6880*v.
-2*v*(v - 86)*(v + 40)
Factor -h**3/5 - 3640*h**2 - 82828197*h/5 - 165583602/5.
-(h + 2)*(h + 9099)**2/5
Find q, given that 2*q**2/5 - 10534*q/5 - 10536/5 = 0.
-1, 5268
Factor t**2/5 - 105684*t/5 + 2792276964/5.
(t - 52842)**2/5
Suppose c**2/2 - 33154*c + 549593858 = 0. Calculate c.
33154
Factor 2*h**2/5 + 284*h - 26208/5.
2*(h - 18)*(h + 728)/5
Find q such that -3*q**3 - 1275*q**2 - 13536*q + 52164 = 0.
-414, -14, 3
Solve 5*c**3/3 + 2155*c**2/3 - 6560*c/3 - 21700/3 = 0.
-434, -2, 5
Let 75*y**5 + 2265*y**4 - 2523*y**3 - 20013*y**2 + 16632*y - 3348 = 0. Calculate y.
-31, -3, 2/5, 3
Find b such that -b**3/5 + 49403*b**2/5 - 98802*b/5 = 0.
0, 2, 49401
Solve 2*n**3 + 138*n**2 - 732*n + 592 = 0 for n.
-74, 1, 4
Suppose -4*g**5 - 3824*g**4 - 1228272*g**3 - 135485632*g**2 - 909089024*g + 10602310656 = 0. What is g?
-316, -14, 6
Factor -2*m**2 - 25142*m + 100600.
-2*(m - 4)*(m + 12575)
Factor 3*b**2 - 29829*b - 29832.
3*(b - 9944)*(b + 1)
Factor y**2/5 - 3947*y/5 - 3948/5.
(y - 3948)*(y + 1)/5
Suppose d**4 + 322*d**3 - 1635*d**2 = 0. What is d?
-327, 0, 5
Factor 4*t**3 + 329032*t**2.
4*t**2*(t + 82258)
Solve 3*f**4/2 + 123*f**3 + 1674*f**2 + 5940*f = 0.
-66, -10, -6, 0
Let j**3 - 16611*j**2 = 0. Calculate j.
0, 16611
Suppose -2*f**3/11 + 42096*f**2/11 + 168408*f/11 + 168416/11 = 0. What is f?
-2, 21052
Determine v so that 2*v**5 - 130*v**4 - 402*v**3 - 406*v**2 - 136*v = 0.
-1, 0, 68
Factor 2*m**2/11 + 410*m/11 - 27972/11.
2*(m - 54)*(m + 259)/11
Solve 3*f**3/8 + 321*f**2/8 + 831*f/2 - 8037/2 = 0.
-94, -19, 6
Suppose -2*c**2 + 1848176*c - 426969315872 = 0. Calculate c.
462044
Factor 2*o**3/21 + 2948*o**2/21 + 1086338*o/21.
2*o*(o + 737)**2/21
Determine d, given that 5*d**3 + 12295*d**2 + 171150*d = 0.
-2445, -14, 0
Factor 4*t**2 - 46544*t + 135396496.
4*(t - 5818)**2
Factor -169*r**3 + 22945*r**2 - 17575*r + 3375.
-(r - 135)*(13*r - 5)**2
Find z such that -4*z**2/5 - 7357208*z/5 - 3383031847204/5 = 0.
-919651
Find j, given that 3*j**2/5 + 888*j = 0.
-1480, 0
Factor -3*a**3 - 306*a**2 + 13467*a - 125766.
-3*(a - 18)*(a - 17)*(a + 137)
Find k such that -k**2/6 + 46*k/3 + 2470/3 = 0.
-38, 130
Factor -18*v**4 + 24096*v**3 - 16058*v**2 + 2676*v.
-2*v*(v - 1338)*(3*v - 1)**2
Find p such that p**3/9 + 227*p**2/9 - 261*p + 553 = 0.
-237, 3, 7
Factor -22*x**2/5 + 3456*x/5 - 17024/5.
-2*(x - 152)*(11*x - 56)/5
Factor 2*w**2/11 + 3350*w/11 + 39912/11.
2*(w + 12)*(w + 1663)/11
Solve -v**3/9 - 341*v**2/9 + v + 341 = 0 for v.
-341, -3, 3
Factor -x**2/2 + 4276*x + 8554.
-(x - 8554)*(x + 2)/2
Determine o, given that -o**2 + 267*o - 4482 = 0.
18, 249
Determine t so that 9*t**5/2 - 3*t**4/2 - 87*t**3/2 - 153*t**2/2 - 51*t - 12 = 0.
-1, -2/3, 4
Factor -5*i**3 + 33570*i**2 - 56313660*i - 112761640.
-5*(i - 3358)**2*(i + 2)
Factor t**2 - 503*t - 44004.
(t - 579)*(t + 76)
Factor 22*n**3/7 + 122*n**2 + 8626*n/7 + 6498/7.
2*(n + 19)**2*(11*n + 9)/7
Find x such that x**4/4 + 15*x**3/4 - 153*x**2/2 - 350*x = 0.
-25, -4, 0, 14
Suppose 2*j**3/9 + 4*j**2/9 - 10*j - 28 = 0. Calculate j.
-6, -3, 7
Determine p, given that -25583*p**3/4 - 12792*p**2 + 76745*p/4 + 3/2 = 0.
-3, -2/25583, 1
Suppose 5*n**4 + 325*n**3 - 1755*n**2 - 325*n + 1750 = 0. What is n?
-70, -1, 1, 5
Factor w**4/4 + 389*w**3/4 + 2307*w**2/4 + 3451*w/4 + 383.
(w + 1)**2*(w + 4)*(w + 383)/4
Factor p**3 + 42*p**2 + 275*p - 726.
(p - 2)*(p + 11)*(p + 33)
Factor -x**3/5 + 2180*x**2 - 29724288*x/5 + 118722816/5.
-(x - 5448)**2*(x - 4)/5
Let -2*w**3 + 486*w**2 - 11230*w - 11718 = 0. Calculate w.
-1, 27, 217
Factor -d**4/3 + 5*d**3 - 67*d**2/3 + 31*d - 40/3.
-(d - 8)*(d - 5)*(d - 1)**2/3
Find i, given that -20*i**4 - 9826*i**3 - 1222946*i**2 - 3938160*i - 1071648 = 0.
-244, -3, -3/10
Find t such that 3*t**5 + 262*t**4 + 5631*t**3 - 3960*t**2 - 1936*t = 0.
-44, -1/3, 0, 1
Determine m so that -3*m**4/2 + 2431*m**3/2 + 811*m**2 = 0.
-2/3, 0, 811
Suppose 3*j**3 + 408*j**2 - 1671*j + 1260 = 0. Calculate j.
-140, 1, 3
Let 3*q**3 - 413019*q**2 - 413022*q = 0. Calculate q.
-1, 0, 137674
Let 18*x**3/5 - 19959*x**2/5 + 16617*x/5 + 3324/5 = 0. Calculate x.
-1/6, 1, 1108
Factor -2*b**2/5 + 562*b/5 - 25536/5.
-2*(b - 224)*(b - 57)/5
Factor s**3/4 - 9465*s**2/8 - 2367*s - 9469/8.
(s + 1)**2*(2*s - 9469)/8
Solve 4*l**5 - 24*l**4 - 348*l**3 - 256*l**2 + 624*l = 0 for l.
-6, -2, 0, 1, 13
Factor o**2/3 - 84442*o/3 + 1782612841/3.
(o - 42221)**2/3
Factor 188*p**2 - 15556*p/5 + 14616/5.
4*(p - 1)*(235*p - 3654)/5
Determine i, given that -4*i**5/7 - 188*i**4/7 - 2400*i**3/7 - 11232*i**2/7 - 1728*i + 25920/7 = 0.
-30, -6, 1
Solve -4*x**3/7 - 632*x**2/7 - 20740*x/7 + 346800/7 = 0.