9)
Suppose -3*u**3/7 + 1659*u**2 + 4980*u + 23244/7 = 0. Calculate u.
-2, -1, 3874
What is n in -2*n**3 + 788*n**2 + 3194*n - 3980 = 0?
-5, 1, 398
Factor 3*o**3/4 + 10125*o**2/4 + 12633*o - 15165.
3*(o - 1)*(o + 6)*(o + 3370)/4
Determine u so that 5*u**3 + 320690*u**2 - 641395*u + 320700 = 0.
-64140, 1
Suppose -20*n**3 + 625*n**2 + 22740*n + 16695 = 0. What is n?
-21, -3/4, 53
Factor -z**3/4 + 28771*z**2/4 + 14389*z/2 - 43158.
-(z - 28772)*(z - 2)*(z + 3)/4
What is t in -5*t**5 + 470*t**4 - 13990*t**3 + 132340*t**2 - 169845*t - 988650 = 0?
-2, 5, 13, 39
Find w, given that w**3/2 - 4205*w**2/2 + 10502*w - 8400 = 0.
1, 4, 4200
Factor z**3/10 - 577*z**2/5 + 19191*z/10 + 78453/5.
(z - 1137)*(z - 23)*(z + 6)/10
Find d such that -4*d**4 - 15176*d**3 - 60628*d**2 + 45552*d + 272880 = 0.
-3790, -3, 2
Solve 20*x**4/3 - 16*x**3 + 12*x**2 - 8*x/3 = 0 for x.
0, 2/5, 1
Factor r**3 + 336*r**2 + 34932*r + 1048528.
(r + 52)*(r + 142)**2
Factor 2*n**3/3 - 165218*n**2/3 + 3412040830*n/3 + 3412206050/3.
2*(n - 41305)**2*(n + 1)/3
Factor 2*s**3/3 + 3366*s**2 - 13478*s - 50530/3.
2*(s - 5)*(s + 1)*(s + 5053)/3
Factor 4*f**4 - 8800*f**3 + 8796*f**2.
4*f**2*(f - 2199)*(f - 1)
Determine w so that w**3 + 5*w**2 - 9*w - 45 = 0.
-5, -3, 3
Let -8*s**4 + 136192*s**3 - 136186*s**2 + 34046*s = 0. Calculate s.
0, 1/2, 17023
Solve -81*m**5/4 + 13239*m**4/4 - 134308*m**3 - 76958*m**2 + 53956*m - 6724 = 0.
-1, 2/9, 82
Find m such that -2*m**4/5 + 78*m**3/5 + 114*m**2/5 - 4558*m/5 + 4368/5 = 0.
-8, 1, 7, 39
Suppose -4*c**5 - 60*c**4 + 264*c**3 + 784*c**2 - 1632*c - 3456 = 0. What is c?
-18, -2, 3, 4
Factor -4*v**2 - 1264*v - 1260.
-4*(v + 1)*(v + 315)
Factor 2*i**2 + 33026*i + 33024.
2*(i + 1)*(i + 16512)
Suppose -5*p**2 + 210260*p - 420500 = 0. Calculate p.
2, 42050
What is r in 309527120*r**3 - 312123560*r**2 + 2601885*r - 5445 = 0?
33/7868, 1
Factor 2*b**3 - 438*b**2 + 23868*b.
2*b*(b - 117)*(b - 102)
Let 3*s**4/4 - 6363*s**3/4 - 54519*s**2/2 = 0. What is s?
-17, 0, 2138
Factor -i**5/2 + 39*i**4/2 - 294*i**3 + 2128*i**2 - 7296*i + 9216.
-(i - 12)*(i - 8)**3*(i - 3)/2
Find i such that -18*i**3/5 - 4971*i**2/5 - 10641*i/5 + 2466 = 0.
-274, -3, 5/6
Factor 2*l**2 + 23622*l + 118060.
2*(l + 5)*(l + 11806)
Suppose -4*y**5/9 - 112*y**4/9 + 1924*y**3/9 + 112*y**2/9 - 640*y/3 = 0. Calculate y.
-40, -1, 0, 1, 12
Find l such that 45*l**5 - 879*l**4 + 2612*l**3 - 1076*l**2 - 192*l = 0.
-2/15, 0, 2/3, 3, 16
Determine w so that -2*w**2 - 1448*w - 7190 = 0.
-719, -5
What is y in -3*y**3 + 36*y**2 + 1920*y = 0?
-20, 0, 32
Factor -f**3 - 17*f**2 + 2137*f - 20119.
-(f - 31)*(f - 11)*(f + 59)
Determine z so that 2*z**2/11 - 2900*z/11 - 14550/11 = 0.
-5, 1455
Factor -4*g**3 + 6212*g**2 - 3207424*g + 550440960.
-4*(g - 544)**2*(g - 465)
Factor 5*w**3 + 19907*w**2/3 + 2654*w/3.
w*(w + 1327)*(15*w + 2)/3
Factor -l**2 - 31247*l - 124972.
-(l + 4)*(l + 31243)
Find a such that -2*a**3/9 + 10046*a**2/9 = 0.
0, 5023
Factor 1805*w**3 + 42370*w**2 - 901140*w + 3618360.
5*(w + 38)*(19*w - 138)**2
Suppose -s**3 - 2968*s**2 + 11884*s - 11888 = 0. Calculate s.
-2972, 2
Factor -a**2/6 + 33989*a/6.
-a*(a - 33989)/6
Find r such that 3*r**3/2 + 49581*r**2 + 819425187*r/2 = 0.
-16527, 0
Find a, given that a**2/5 + 5242*a + 34348205 = 0.
-13105
Factor 5*l**3 + 17980*l**2 + 16181985*l + 32292090.
5*(l + 2)*(l + 1797)**2
What is q in -3*q**2 + 2649*q = 0?
0, 883
Determine y so that -2*y**2/9 - 794*y/9 - 5500/3 = 0.
-375, -22
What is a in 4*a**5 - 4396*a**4 - 8808*a**3 - 8*a**2 + 8804*a + 4404 = 0?
-1, 1, 1101
Let 3*a**2 + 14370*a + 43083 = 0. What is a?
-4787, -3
Factor k**2/2 + 543*k/2 + 4978.
(k + 19)*(k + 524)/2
Suppose 4*t**4 - 1664*t**3 + 174712*t**2 - 344448*t + 171396 = 0. Calculate t.
1, 207
Factor 4*d**2 - 1524*d + 110936.
4*(d - 283)*(d - 98)
Factor -o**2 + 3659*o - 3658.
-(o - 3658)*(o - 1)
Let 2*b**3/3 - 1592*b**2/3 + 42950*b/3 + 14848 = 0. What is b?
-1, 29, 768
Factor 2*k**2 + 31766*k - 31768.
2*(k - 1)*(k + 15884)
Solve 4*f**3/5 - 4260*f**2 + 28366272*f/5 - 28344976/5 = 0.
1, 2662
Let 2*k**5 + 320*k**4/7 + 1298*k**3/7 - 1632*k**2/7 = 0. What is k?
-17, -48/7, 0, 1
What is y in y**4/2 + 35*y**3/2 + 353*y**2/2 + 829*y/2 + 255 = 0?
-17, -15, -2, -1
Suppose -245*w**5/2 - 49105*w**4/2 + 28365*w**3/2 + 45085*w**2/2 - 14060*w + 2010 = 0. Calculate w.
-201, -1, 2/7, 1
Factor 2*b**4 - 300*b**3 + 13386*b**2 - 159728*b + 538680.
2*(b - 67)**2*(b - 10)*(b - 6)
Factor 2*i**2/17 + 72*i/17 - 9152/17.
2*(i - 52)*(i + 88)/17
Find v, given that -5*v**4 - 50*v**3 + 185*v**2 - 130*v = 0.
-13, 0, 1, 2
Suppose 8*y**5/11 + 3446*y**4/11 - 7822*y**3/11 - 12052*y**2/11 + 31160*y/11 - 6928/11 = 0. Calculate y.
-433, -2, 1/4, 2
Find h such that 3*h**3/5 + 39*h**2/5 - 2967*h/5 - 52371/5 = 0.
-23, 33
Factor -t**3/2 + 768*t**2 - 1534*t.
-t*(t - 1534)*(t - 2)/2
What is h in h**5 + 443*h**4 - 10551*h**3 + 77377*h**2 - 207070*h + 139800 = 0?
-466, 1, 5, 12
Factor 25*n**2 + 2600160*n.
5*n*(5*n + 520032)
Determine b, given that 2*b**2 - 139510*b = 0.
0, 69755
Determine g so that -5*g**2 - 19640*g + 1952125 = 0.
-4025, 97
Determine b, given that 2*b**4 + 3868*b**3 + 1367666*b**2 - 485929104*b + 31564788768 = 0.
-1083, 116
Suppose -21*j**3/10 - 2501*j**2/10 - 3773*j/5 - 348/5 = 0. What is j?
-116, -3, -2/21
Solve -f**3 - 1432*f**2 - 611776*f - 67103232 = 0.
-632, -168
Let -2*i**5/3 - 64*i**4/3 - 164*i**3/3 + 1816*i**2/3 + 3878*i/3 + 1960/3 = 0. Calculate i.
-28, -7, -1, 5
Determine q so that 5*q**5 + 135*q**4 - 85*q**3 - 2295*q**2 + 80*q + 2160 = 0.
-27, -4, -1, 1, 4
Solve 4*n**3/7 - 1472*n**2/7 + 7236*n/7 + 8712/7 = 0.
-1, 6, 363
What is t in t**4/5 + 4813*t**3/5 + 44906*t**2 + 2515872*t/5 - 2745216/5 = 0?
-4766, -24, 1
Determine q so that -4*q**5 + 460*q**4 + 6052*q**3 + 6788*q**2 - 148800*q - 457200 = 0.
-6, -5, 5, 127
Find v such that -1356*v**2 + 15*v = 0.
0, 5/452
Let -9*i**5/2 + 134*i**4 + 1974*i**3 - 42336*i**2 - 476064*i - 103680 = 0. What is i?
-12, -2/9, 24, 30
Factor x**3/4 + 648*x**2 - 15579*x/4 + 11691/2.
(x - 3)**2*(x + 2598)/4
Factor -438244*t**3 - 10942860*t**2 + 330900*t - 2500.
-4*(t + 25)*(331*t - 5)**2
Let h**3/6 + 217*h**2 - 9790*h + 325732/3 = 0. Calculate h.
-1346, 22
Solve -5*q**2 - 37475*q - 37470 = 0.
-7494, -1
Factor -16*b**3 + 589400*b**2 - 294697*b + 36837.
-(b - 36837)*(4*b - 1)**2
Factor d**2/2 - 44458*d + 988256882.
(d - 44458)**2/2
Suppose -3*t**2/5 - 40782*t/5 - 138597627/5 = 0. Calculate t.
-6797
Find i, given that 10*i**5/7 - 5324*i**4/7 + 3304*i**3 + 54960*i**2/7 - 25344*i/7 = 0.
-2, 0, 2/5, 6, 528
Solve 2*h**3/3 + 364*h**2 + 45846*h - 3203560/3 = 0.
-283, 20
Factor 2*l**3/7 - 234*l**2/7 + 2190*l/7 - 5350/7.
2*(l - 107)*(l - 5)**2/7
Determine j so that 2*j**4/3 + 10*j**3 + 142*j**2/3 + 86*j + 48 = 0.
-8, -3, -1
Factor 2*x**3 + 3426*x**2 + 1930110*x + 356265182.
2*(x + 439)*(x + 637)**2
Suppose -n**3/5 - 8*n**2/5 - 11*n/5 + 4 = 0. What is n?
-5, -4, 1
Find h, given that -4*h**4/3 + 383*h**3/6 + 652*h**2/3 - 1475*h/6 - 34 = 0.
-4, -1/8, 1, 51
Factor p**2 - 38223*p/5 + 22932/5.
(p - 7644)*(5*p - 3)/5
Suppose 3*b**3 + 405*b**2 - 25266*b - 52128 = 0. Calculate b.
-181, -2, 48
Factor j**4 + 85*j**3 - 88*j**2 - 172*j.
j*(j - 2)*(j + 1)*(j + 86)
Determine q, given that q**2 - 2304*q + 9200 = 0.
4, 2300
Let -k**4/8 + 799*k**3/8 + 1203*k**2/4 + k/2 - 401 = 0. Calculate k.
-2, 1, 802
Let -10443*y**2/2 - 96288*y - 443904 = 0. What is y?
-544/59
Factor -5*g**3 - 1390*g**2 + 2815*g + 4200.
-5*(g - 3)*(g + 1)*(g + 280)
Determine j, given that 5*j**3 + 25865*j**2 + 33462840*j + 33436980 = 0.
-2586, -1
Factor -4*j**2 - 224*j + 282020.
-4*(j - 239)*(j + 295)
Solve 21448*n**2/5 + 42916*n/5 + 8 = 0 for n.
-2, -5/5362
Factor b**2/2 + 293243*b/2 - 146622.
(b - 1)*(b + 293244)/2
Factor -3*u**2 + 5553*u + 672030.
-3*(u - 1965)*(u + 114)
Factor i**5 - i**4 - 15*i**3 + 9*i**2 + 54*i.
i*(i - 3)**2*(i + 2)*(i + 3)
Find c such that c**2 + 120740*c + 3644536900 = 0.
-60370
Solve n**3/5 + 52*n**2/5 + 63*n = 0 for n.
-45, -7, 0
Factor 5*w**3 + 29875*w**2 - 29890*w - 59760.
5*(w - 2)*(w + 1)*(w + 5976)
Factor x**3 + 8832*x**2 - 26503*x + 17670.
(x - 2)*(x - 1)*(x + 8835)
Let -k**5/2 - 6*k**4 + 95*k**3 + 564*k**2 + 747*k/2 - 1026 = 0. What is k?
-19, -3, 1, 12
Factor -418*u**3/3 - 650*u**2/3.
-2*u**2*(209*u + 325)/3
Factor h**3/12