
Determine x so that 50*x**3 - 15460*x**2 - 75072*x - 90432 = 0.
-12/5, 314
Solve t**3 + 46920*t**2 + 550465428*t + 2201111056 = 0 for t.
-23458, -4
Let 13*o**2 - 15953*o/3 + 818/3 = 0. Calculate o.
2/39, 409
Factor f**4/2 + 193*f**3/2 + 5226*f**2 + 53730*f + 48600.
(f + 1)*(f + 12)*(f + 90)**2/2
Let -81*f**5 - 248*f**4 - 258*f**3 - 96*f**2 - 5*f = 0. What is f?
-1, -5/81, 0
Factor a**3/3 + 8215*a**2/3 + 49262*a/3 + 65672/3.
(a + 2)*(a + 4)*(a + 8209)/3
Suppose 3*q**4 + 1320*q**3 - 12054*q**2 + 30936*q - 20205 = 0. What is q?
-449, 1, 3, 5
Factor 8772*h**3/7 - 375*h**2 + 108*h/7.
3*h*(4*h - 1)*(731*h - 36)/7
Suppose 2*z**2/3 + 280*z - 222272/3 = 0. What is z?
-604, 184
What is d in -5*d**3 + 4170*d**2 + 20945*d + 25170 = 0?
-3, -2, 839
Factor 685*a**2 - 10945*a - 240.
5*(a - 16)*(137*a + 3)
Let 2*d**3/9 - 120*d**2 - 8*d/9 + 480 = 0. Calculate d.
-2, 2, 540
Solve -2*n**4/21 + 10544*n**3/21 - 4639354*n**2/7 + 2644536*n - 13875912/7 = 0 for n.
1, 3, 2634
Suppose -56*p**5/5 - 7444*p**4/5 - 250796*p**3/5 - 225984*p**2/5 + 17424*p/5 = 0. Calculate p.
-66, -1, 0, 1/14
Solve -3*i**5/5 + 1341*i**4 + 26868*i**3/5 = 0.
-4, 0, 2239
Suppose -3*s**3 - 1860*s**2 - 62961*s + 64824 = 0. Calculate s.
-584, -37, 1
Factor 5*b**2/2 - 293406*b + 117362.
(b - 117362)*(5*b - 2)/2
Let p**4 + 4918*p**3 + 6012121*p**2 - 85072068*p + 79055028 = 0. What is p?
-2466, 1, 13
Find i such that 3*i**2 + 870*i - 12768 = 0.
-304, 14
Factor 3*b**3/5 - 63*b**2 - 2691*b/5 - 2373/5.
3*(b - 113)*(b + 1)*(b + 7)/5
Suppose 3*x**4/5 - 402*x**3/5 + 1947*x**2/5 - 1548*x/5 = 0. What is x?
0, 1, 4, 129
Factor a**2/2 + 275375*a/2.
a*(a + 275375)/2
Factor 4*m**2/3 + 864*m + 2588/3.
4*(m + 1)*(m + 647)/3
Find f, given that 2*f**2 - 151360*f + 2863731200 = 0.
37840
Find q, given that 4*q**2 + 74144*q = 0.
-18536, 0
What is l in -2*l**3/11 - 2338*l**2/11 + 9384*l/11 = 0?
-1173, 0, 4
Factor 3*d**4 + 75*d**3 - 252*d**2 + 12*d + 336.
3*(d - 2)**2*(d + 1)*(d + 28)
Factor -1445*l**3/3 + 18870*l**2 + 15785*l + 9800/3.
-5*(l - 40)*(17*l + 7)**2/3
Find k such that 2*k**3/5 + 2914*k**2/5 + 212576*k + 1059968/5 = 0.
-728, -1
Find x, given that 3*x**4 + 223473*x**3 - 223476*x**2 = 0.
-74492, 0, 1
Let 5*y**4/3 + 505*y**3/3 + 6305*y**2/3 - 13815*y + 17850 = 0. What is y?
-85, -21, 2, 3
Solve -2*w**2/5 + 153172*w/5 = 0 for w.
0, 76586
Find i such that -2*i**3 - 654*i**2 + 3978*i - 5994 = 0.
-333, 3
Factor -24*y**2/5 - 173*y/5 - 133/5.
-(3*y + 19)*(8*y + 7)/5
Factor g**4/8 - 3*g**3/4 - 49*g**2/8 + 147*g/4.
g*(g - 7)*(g - 6)*(g + 7)/8
Determine l, given that -l**5/2 - 96*l**4 - 6890*l**3 - 219144*l**2 - 2606912*l = 0.
-56, -46, -44, 0
Find g, given that -3*g**5 + 5454*g**4 - 38004*g**3 - 48918*g**2 + 38007*g + 43464 = 0.
-1, 1, 8, 1811
Find m, given that 2*m**5/3 + 244*m**4/3 + 1394*m**3/3 + 184*m**2/3 - 5608*m/3 - 4640/3 = 0.
-116, -5, -2, -1, 2
Find k, given that -2*k**5 + 45*k**4/4 - 23*k**3/2 - 6*k**2 = 0.
-3/8, 0, 2, 4
Factor 2*n**2/5 - 2628*n/5 + 82048/5.
2*(n - 1282)*(n - 32)/5
What is g in -g**4/6 + 947*g**3/6 + 793*g**2 + 956*g/3 - 3808/3 = 0?
-4, -2, 1, 952
Find o, given that 3*o**5/4 + 39*o**4/4 - 477*o**3/4 - 1119*o**2/4 + 237*o/2 + 270 = 0.
-20, -2, -1, 1, 9
Factor -2*r**4/7 + 3132*r**3/7 - 1068120*r**2/7 - 54915300*r + 198032060250/7.
-2*(r - 645)**3*(r + 369)/7
Suppose 3*a**5/4 - 79*a**4/4 + 125*a**3/4 + 535*a**2/4 - 137*a - 219 = 0. What is a?
-2, -1, 2, 3, 73/3
Suppose -f**2/3 + 72052*f/3 - 24017 = 0. Calculate f.
1, 72051
Factor 2*l**3/11 + 7056*l**2/11 + 6223392*l/11.
2*l*(l + 1764)**2/11
Factor 3*z**2/5 - 6420*z + 17173500.
3*(z - 5350)**2/5
Factor -5*r**3/3 + 14620*r**2/3 + 590800*r/3 + 1976000.
-5*(r - 2964)*(r + 20)**2/3
Suppose -9*f**5/5 + 336*f**4/5 - 2049*f**3/5 + 2046*f**2/5 + 756*f/5 - 216 = 0. What is f?
-2/3, 1, 6, 30
Solve m**4/3 + 5*m**3/3 - 1043*m**2/3 - 4459*m + 10290 = 0.
-21, 2, 35
Determine a so that -7*a**3 - 14652*a**2 + 12565*a + 2094 = 0.
-2094, -1/7, 1
Factor y**3/3 - 3*y**2 - 154*y/3 - 48.
(y - 18)*(y + 1)*(y + 8)/3
Let -d**3/5 - 2208*d**2/5 - 19791*d/5 = 0. Calculate d.
-2199, -9, 0
Find i such that 2*i**2 + 54080*i = 0.
-27040, 0
Determine o, given that -3*o**3/2 + 831*o**2/2 - 1191*o - 11508 = 0.
-4, 7, 274
Suppose 2*r**3/15 + 4724*r**2/15 - 3784*r/3 + 18928/15 = 0. Calculate r.
-2366, 2
Let f**3/5 - 8008*f**2 - 40041*f/5 = 0. Calculate f.
-1, 0, 40041
Let 2*d**2/7 + 222*d/7 - 1512 = 0. What is d?
-147, 36
Solve -4*g**4/5 - 1112*g**3/5 + 53452*g**2/5 - 566896*g/5 - 621456/5 = 0.
-321, -1, 22
Solve 5*g**4 - 25*g**3 - 530*g**2 - 1400*g = 0.
-5, -4, 0, 14
Factor 82132*j**2/11 + 1867*j + 1/11.
(4*j + 1)*(20533*j + 1)/11
Factor -760384*t**3/3 - 79076448*t**2 + 1088244*t - 3744.
-4*(t + 312)*(436*t - 3)**2/3
Factor 2*b**3/3 - 356*b**2/3 + 1030*b/3 + 3500/3.
2*(b - 175)*(b - 5)*(b + 2)/3
Find f, given that f**5 - 5903*f**4 + 8672891*f**3 + 113539823*f**2 + 306531624*f - 428738436 = 0.
-7, 1, 2958
Factor -x**3/5 + 187*x**2/5 + 2168*x/5 + 396.
-(x - 198)*(x + 1)*(x + 10)/5
Let -2*r**3 + 784*r**2 + 32*r - 12544 = 0. What is r?
-4, 4, 392
Find r, given that -5*r**2 + 209510*r - 2194722005 = 0.
20951
Let 2*h**5 - 10*h**4 - 270*h**3 + 850*h**2 - 572*h = 0. Calculate h.
-11, 0, 1, 2, 13
Find q, given that 3*q**3/4 - 627825*q**2/2 + 32846705304*q + 65694666264 = 0.
-2, 209276
Let -m**4/8 - 79*m**3/4 - 1187*m**2/2 + 18103*m + 221880 = 0. What is m?
-86, -10, 24
Factor -q**2/3 + 141989*q/3 + 283982/3.
-(q - 141991)*(q + 2)/3
Suppose -2*j**5/9 - 16*j**4/9 + 90*j**3 + 7568*j**2/9 + 20200*j/9 + 5600/3 = 0. What is j?
-20, -5, -2, 21
Find h such that 6995*h**2 + 7315*h + 320 = 0.
-1, -64/1399
Find t, given that -5*t**5 + 75*t**4 + 50*t**3 - 1500*t**2 - 2520*t = 0.
-3, -2, 0, 6, 14
What is g in 5*g**5 + 175*g**4 + 1395*g**3 + 3665*g**2 + 760*g - 6000 = 0?
-25, -4, -3, 1
Factor 841*y**3/6 + 155324*y**2 + 21422*y + 2216/3.
(y + 1108)*(29*y + 2)**2/6
Factor 1532*b**3 - 28*b**2 - 6128*b + 112.
4*(b - 2)*(b + 2)*(383*b - 7)
Determine o so that 3*o**5 + 3516*o**4 + 14031*o**3 + 17526*o**2 + 7008*o = 0.
-1168, -2, -1, 0
Determine y, given that -80*y**4 + 30040*y**3 + 518115*y**2 - 264685*y + 33320 = 0.
-17, 1/4, 392
Find v such that -v**5/4 + 206*v**4 - 2859*v**3/2 - 206*v**2 + 5719*v/4 = 0.
-1, 0, 1, 7, 817
Let 5*o**2/2 - 1295*o + 10200 = 0. Calculate o.
8, 510
Find f such that 4*f**3/5 + 3428*f**2/5 + 351804*f/5 + 9656028/5 = 0.
-743, -57
Factor 3*h**2/2 - 1017*h + 71151/2.
3*(h - 641)*(h - 37)/2
Determine m, given that 21*m**3/5 + 32877*m**2 - 2824149*m/5 + 80019 = 0.
-7845, 1/7, 17
Suppose 2*y**3/3 + 13202*y**2/3 + 26398*y/3 + 13198/3 = 0. Calculate y.
-6599, -1
Determine d, given that -2*d**3 - 138380*d**2 - 2393212856*d + 14364259248 = 0.
-34598, 6
Find v, given that -2*v**2/5 - 10516*v/5 + 14742 = 0.
-5265, 7
Factor 4*i**3 + 276*i**2 - 9216*i + 17296.
4*(i - 23)*(i - 2)*(i + 94)
Factor -151*x**2/3 - 140273*x/3 + 1858.
-(x + 929)*(151*x - 6)/3
Determine w so that -5*w**4 + 1050*w**3 + 255855*w**2 + 10905160*w - 22842060 = 0.
-79, 2, 366
Factor 4*i**4/9 + 12752*i**3/9 + 1117840*i**2 - 18249984*i.
4*i*(i - 16)*(i + 1602)**2/9
Let 3*s**3/8 + 2181*s**2/4 + 26043*s/8 - 3801 = 0. Calculate s.
-1448, -7, 1
Find j, given that -2*j**2/7 - 43612*j/7 - 237750818/7 = 0.
-10903
Factor -u**3/3 + 35*u**2 + 112*u/3 - 212.
-(u - 106)*(u - 2)*(u + 3)/3
Find f such that 2*f**3/13 - 2504*f**2/13 - 5022*f/13 + 7524/13 = 0.
-3, 1, 1254
Factor -2*q**3/7 + 8460*q**2/7 - 1279272*q + 2553712.
-2*(q - 2114)**2*(q - 2)/7
Suppose 4*s**3 - 1392*s**2 + 41708*s - 40320 = 0. Calculate s.
1, 32, 315
Factor -o**3/2 - 406*o**2 + 27041*o/2 + 13926.
-(o - 33)*(o + 1)*(o + 844)/2
Find n such that 2*n**4 + 576*n**3 - 34690*n**2 + 495144*n - 461032 = 0.
-341, 1, 26
Determine w so that 2*w**2/5 + 8228*w/5 + 49296/5 = 0.
-4108, -6
Find n such that -4*n**3/3 + 2432*n**2/3 + 4912*n = 0.
-6, 0, 614
Factor 5*w**3 + 35*w**2 - 470*w - 1040.
5*(w - 8)*(w + 2)*(w + 13)
Find c, given that 5*c**3 - 13030*c**2 + 78025*c - 65000 = 0.
1, 5, 2600
Find c, given that 3*c**3/8 + 207*c**2/8 - 8427*c/8 - 27063/8 = 0.
-97, -3, 31
Determine f so that -3*f**3 + 708*f**2 - 10752*f + 42240 = 0.
8, 220
Find r, given that -4*r**2 + 18376*r + 128828 = 0.
-7, 4601
Factor -4*s**4/5 - 4716*s**3/5 - 1829208*s**2/5 - 223666448*s/5 + 756537504.
-4*(s - 15)*(s