786
Determine z, given that -3*z**2/5 + 171*z/5 + 1782 = 0.
-33, 90
Suppose y**3 - 150*y**2 - 6409*y - 12210 = 0. What is y?
-33, -2, 185
Factor -3*o**3/5 + 84*o**2 - 9996*o/5 + 65856/5.
-3*(o - 112)*(o - 14)**2/5
Factor i**2/6 + 2831*i/3 - 73775/6.
(i - 13)*(i + 5675)/6
Factor 2*m**3/3 + 808*m**2/3 + 4686*m + 20844.
2*(m + 9)**2*(m + 386)/3
Suppose 3*q**5/4 - 847*q**4 - 109559*q**3/4 - 213688*q**2 + 74304*q = 0. Calculate q.
-16, 0, 1/3, 1161
Factor -2*x**3/5 - 94*x**2/5 - 968*x/5 - 2856/5.
-2*(x + 6)*(x + 7)*(x + 34)/5
Suppose 3*v**5 + 981*v**4 + 6747*v**3 + 8619*v**2 - 6750*v - 9600 = 0. Calculate v.
-320, -5, -2, -1, 1
Factor z**2/6 - 1021*z/6 - 511/3.
(z - 1022)*(z + 1)/6
Factor -2*k**3/17 + 2*k**2/17 + 10*k/17 + 6/17.
-2*(k - 3)*(k + 1)**2/17
Factor 14*i**4 - 212*i**3 + 30*i**2.
2*i**2*(i - 15)*(7*i - 1)
Let -3*d**4 + 87*d**3 + 342*d**2 - 1608*d - 3840 = 0. What is d?
-5, -2, 4, 32
Let 5*z**2 + 1275*z + 8680 = 0. What is z?
-248, -7
Find c, given that 4*c**2 + 2760*c + 399924 = 0.
-483, -207
Find h such that h**5 - 14*h**4 - 921*h**3 + 6790*h**2 - 9800*h = 0.
-28, 0, 2, 5, 35
Find x, given that x**2 + 95*x + 850 = 0.
-85, -10
Suppose d**2/3 + 2317*d/3 + 12272 = 0. What is d?
-2301, -16
Factor -2*k**3/9 + 688*k**2 + 8280*k + 24864.
-2*(k - 3108)*(k + 6)**2/9
Solve 4*n**5/3 + 496*n**4 + 187792*n**3/3 + 2815128*n**2 + 51421804*n/3 + 14387576 = 0.
-127, -119, -6, -1
Let -722*l**4 - 52098*l**3 - 1835257*l**2/2 + 800664*l - 170528 = 0. What is l?
-73/2, 8/19
Factor -u**2/4 + 1535*u/2.
-u*(u - 3070)/4
Find w, given that -2*w**5/11 - 346*w**4/11 - 9594*w**3/11 - 81270*w**2/11 - 126900*w/11 = 0.
-141, -15, -2, 0
Factor -4*d**2/9 + 347792*d/3 - 1043372/9.
-4*(d - 260843)*(d - 1)/9
Let -3*p**2 - 3252*p + 56151 = 0. What is p?
-1101, 17
Factor -3*n**2 - 3159*n.
-3*n*(n + 1053)
Suppose -2*d**2/3 + 7474*d/3 - 96148 = 0. Calculate d.
39, 3698
Factor -2*t**2 + 96*t + 13298.
-2*(t - 109)*(t + 61)
Factor z**2/9 + 42*z - 2695/9.
(z - 7)*(z + 385)/9
Factor 2*h**2/17 + 1198*h/17 + 106820/17.
2*(h + 109)*(h + 490)/17
Factor -2*j**4/7 - 142*j**3 + 2994*j**2/7 - 2998*j/7 + 1000/7.
-2*(j - 1)**3*(j + 500)/7
Solve -4*g**4 + 14216*g**3 - 12588160*g**2 - 76041600*g = 0.
-6, 0, 1780
Find b such that -7278*b**2 + 7251*b + 27 = 0.
-9/2426, 1
Let 3*l**2 - 22713*l + 45414 = 0. Calculate l.
2, 7569
Determine x, given that -2*x**4/9 + 482*x**3/9 - 152*x**2/3 - 640*x = 0.
-3, 0, 4, 240
Factor 2*v**3 + 642*v**2 + 1278*v + 638.
2*(v + 1)**2*(v + 319)
Determine b so that 4*b**3 + 516*b**2 - 6948*b - 25380 = 0.
-141, -3, 15
Let -5*j**4/6 + 473*j**3/6 + 5*j**2/6 - 473*j/6 = 0. Calculate j.
-1, 0, 1, 473/5
Suppose -h**3/2 - 5392*h**2 + 10785*h/2 = 0. Calculate h.
-10785, 0, 1
Factor 4*x**3/7 - 276*x**2/7 - 46180*x/7 + 6636.
4*(x - 147)*(x - 1)*(x + 79)/7
Suppose 4*w**5 + 1056*w**4 + 23976*w**3 + 17696*w**2 - 111564*w + 68832 = 0. Calculate w.
-239, -24, -3, 1
Factor 3*f**3 - 60*f**2 - 63*f.
3*f*(f - 21)*(f + 1)
Determine a, given that 2*a**3/19 - 4132*a**2/19 + 130688*a/19 - 1041408/19 = 0.
16, 2034
Determine a, given that 932*a**2 + 570376*a - 4896 = 0.
-612, 2/233
Find f, given that -f**3 + 18981*f**2 - 90022119*f - 450585245 = 0.
-5, 9493
Suppose -3*g**5 - 144*g**4 - 63*g**3 + 10014*g**2 + 9936*g = 0. Calculate g.
-46, -9, -1, 0, 8
Determine l, given that 50*l**5 - 18535*l**4 + 594648*l**3 + 234567128*l**2 + 187363520*l + 37453200 = 0.
-177/2, -2/5, 230
Let 295*o**4 + 224780*o**3 - 7620*o**2 = 0. What is o?
-762, 0, 2/59
Factor b**3/3 - 3*b**2 - 118*b + 1496/3.
(b - 22)*(b - 4)*(b + 17)/3
Factor -d**3/2 + 198*d**2 - 12640*d.
-d*(d - 316)*(d - 80)/2
Suppose y**3 + 594*y**2 - 601*y - 3570 = 0. What is y?
-595, -2, 3
Solve -3*x**5 + 252*x**4 - 231*x**3 - 1506*x**2 + 972*x + 1992 = 0.
-2, -1, 2, 83
Suppose 2*o**2/7 - 124*o/7 - 3280/7 = 0. What is o?
-20, 82
Factor 4*i**4 - 6740*i**3 + 47008*i**2 - 40272*i.
4*i*(i - 1678)*(i - 6)*(i - 1)
Let 5*n**3 - 102980*n**2 + 530244020*n = 0. Calculate n.
0, 10298
Solve 5*l**3 + 990*l**2 + 23205*l + 145340 = 0.
-172, -13
Factor -3*b**4 - 1455*b**3 - 132273*b**2 + 25837947*b + 3618855144.
-3*(b - 136)*(b + 207)**3
Find f such that f**2/4 - 1433*f/4 - 1077 = 0.
-3, 1436
Determine o so that o**4/3 + 185*o**3/3 + 7436*o**2/3 + 27556*o/3 + 8944 = 0.
-129, -52, -2
Factor 2*v**3/3 - 48*v**2 + 2344*v/3 + 1760.
2*(v - 44)*(v - 30)*(v + 2)/3
Solve -g**2/4 - 3747*g/4 - 3745/2 = 0 for g.
-3745, -2
What is f in 5*f**3/2 + 4322*f**2 + 1869696*f + 1492992 = 0?
-864, -4/5
Let -3*s**5 - 36*s**4 + 240*s**3 - 270*s**2 - 237*s + 306 = 0. Calculate s.
-17, -1, 1, 2, 3
Factor 5*t**2 + 21455*t + 42890.
5*(t + 2)*(t + 4289)
Factor -11*k**2/4 - 871*k + 951/4.
-(k + 317)*(11*k - 3)/4
Find g, given that -2*g**3 - 5536*g**2 - 3830912*g = 0.
-1384, 0
Find i such that -4*i**2 + 7140*i - 447200 = 0.
65, 1720
Find d, given that -d**3/3 + 102*d**2 + 81739*d/3 - 27348 = 0.
-172, 1, 477
Factor 2*j**3 - 132*j**2 - 7146*j - 20196.
2*(j - 102)*(j + 3)*(j + 33)
Factor g**3 - 121*g**2 - 2294*g - 7176.
(g - 138)*(g + 4)*(g + 13)
Suppose v**3/9 + 437*v**2 + 1289696*v/3 + 3865156/9 = 0. What is v?
-1966, -1
Solve 6*p**4/5 + 22236*p**3/5 + 26640*p**2 = 0 for p.
-3700, -6, 0
Find p such that 3*p**3/5 + 801*p**2/5 - 5718*p/5 + 9864/5 = 0.
-274, 3, 4
Factor -274*c**2/9 + 30512*c/3 - 6680/9.
-2*(c - 334)*(137*c - 10)/9
Solve m**4 - 490*m**3 - 2475*m**2 = 0.
-5, 0, 495
Factor 405*t**2 + 4060*t + 100.
5*(t + 10)*(81*t + 2)
Factor 9*p**3 - 1045*p**2/4 + 1037*p/4 - 7.
(p - 28)*(p - 1)*(36*p - 1)/4
Find q, given that -2*q**5/5 + 7032*q**4/5 + 28148*q**3/5 + 42232*q**2/5 + 28158*q/5 + 1408 = 0.
-1, 3520
Determine j, given that 25*j**5/2 - 2915*j**4/2 - 4169*j**3/2 + 4583*j**2/2 + 1120*j + 118 = 0.
-2, -1/5, 1, 118
Factor f**3 - 1078*f**2/5 - 2357*f + 7458/5.
(f - 226)*(f + 11)*(5*f - 3)/5
Factor -3*v**3/2 + 1239*v**2 + 7512*v - 19968.
-3*(v - 832)*(v - 2)*(v + 8)/2
Suppose 5*b**5 + 10970*b**4 + 76570*b**3 + 54640*b**2 - 76575*b - 65610 = 0. What is b?
-2187, -6, -1, 1
Solve -302*b**4/5 + 150*b**3 + 468*b**2/5 = 0.
-78/151, 0, 3
Determine k, given that 2*k**5/11 - 52*k**4/11 - 62*k**3/11 + 208*k**2/11 + 216*k/11 = 0.
-2, -1, 0, 2, 27
Let 20*m**4 - 304*m**3 + 840*m**2 + 944*m - 220 = 0. Calculate m.
-1, 1/5, 5, 11
Factor 5*y**3/2 + 8565*y**2/2 + 51120*y + 153090.
5*(y + 6)**2*(y + 1701)/2
Factor 3*k**2 + 9309*k.
3*k*(k + 3103)
Let k**5 + 3075*k**4 - 24642*k**3 + 67802*k**2 - 73983*k + 27747 = 0. Calculate k.
-3083, 1, 3
Factor -v**2 + 44558*v - 496353841.
-(v - 22279)**2
Factor -4*y**2 - 624088*y - 624084.
-4*(y + 1)*(y + 156021)
Determine r, given that 4*r**4 + 21564*r**3 + 38814984*r**2 + 23443087824*r + 207859470624 = 0.
-1794, -9
Factor -g**3 - 88*g**2 + 673*g + 760.
-(g - 8)*(g + 1)*(g + 95)
Let 2*m**2 - 6239*m - 3120 = 0. What is m?
-1/2, 3120
Factor 12*f**3/7 - 1080*f**2 - 7569*f/7 - 1893/7.
3*(f - 631)*(2*f + 1)**2/7
Suppose 98*l**3 + 81228*l**2 - 92928*l + 26560 = 0. Calculate l.
-830, 4/7
Factor -2*r**4 - 184*r**3 - 354*r**2 + 540*r.
-2*r*(r - 1)*(r + 3)*(r + 90)
Factor -5*i**3 + 55*i**2 + 520*i - 1920.
-5*(i - 16)*(i - 3)*(i + 8)
Factor -19360*o**3/3 + 234520*o**2/3 - 546375*o/2 + 590625/2.
-5*(o - 7)*(88*o - 225)**2/6
Solve 13*b**4/5 + 687*b**3/5 + 1233*b**2/5 + 457*b/5 - 102/5 = 0.
-51, -1, 2/13
Factor 2*j**3 - 16*j**2 - 88*j - 96.
2*(j - 12)*(j + 2)**2
Suppose k**2/6 + 1219*k/3 + 7287/2 = 0. Calculate k.
-2429, -9
Factor a**3/3 + 88*a**2/3 + 1889*a/3 + 1802/3.
(a + 1)*(a + 34)*(a + 53)/3
Factor 4*b**4/9 - 124*b**3/3 - 16*b**2/9 + 496*b/3.
4*b*(b - 93)*(b - 2)*(b + 2)/9
Factor h**2/6 + 271*h/2 - 1634/3.
(h - 4)*(h + 817)/6
Factor 63*j**3 + 1258*j**2 + 4685*j - 150.
(j + 5)*(j + 15)*(63*j - 2)
Suppose b**4/10 - 194*b**3/5 + 8847*b**2/2 - 612306*b/5 + 590382/5 = 0. Calculate b.
1, 39, 174
Find g such that -3*g**5/5 + 20442*g**4/5 - 6948210*g**3 - 279135624*g**2/5 - 35109423*g + 349047630 = 0.
-5, 2, 3411
Find c, given that -c**4/3 - 215*c**3/3 - 3843*c**2 - 22417*c/3 - 11102/3 = 0.
-122, -91, -1
Determine g so that g**5/6 + 38*g**4/3 + 338*g**3/3 - 1247*g**2/3 + 2651*g/6 - 455/3 = 0.
-65, -14, 1
Let -1458*p**3/13 - 163188*p**2/13 + 12094*p/13 - 224/13 = 0. Calculate p.
-112, 1/27
Factor -u**3/4 - 25853*u**2/4 + 12927*u/2.
-u*(u - 1)*(u + 25854)/4
Find j such that 2*j**3/5 + 2298*j*