uppose 15*o**3 + 30633*o**2 + 250206*o + 48816 = 0. Calculate o.
-2034, -8, -1/5
Factor 5*g**3 + 655*g**2 + 10575*g + 45765.
5*(g + 9)**2*(g + 113)
Factor 22*u**4/5 + 288*u**3/5 + 240*u**2 + 2048*u/5 + 1248/5.
2*(u + 2)**3*(11*u + 78)/5
Determine q so that -q**2/3 - 4449*q - 13344 = 0.
-13344, -3
Let -2*a**4/13 + 54*a**3/13 + 1986*a**2/13 + 8330*a/13 = 0. Calculate a.
-17, -5, 0, 49
Factor 2*y**4 + 18*y**3 + 20*y**2 - 72*y - 112.
2*(y - 2)*(y + 2)**2*(y + 7)
Factor 3*n**3/5 - 237*n**2/5 + 4488*n/5 - 14352/5.
3*(n - 52)*(n - 23)*(n - 4)/5
Find h such that h**3/5 + 74*h**2/5 - 401*h/5 - 474/5 = 0.
-79, -1, 6
Let -m**5 + 16*m**4 - 15*m**3 - 580*m**2 + 1636*m - 1056 = 0. What is m?
-6, 1, 2, 8, 11
Determine z, given that -z**4/2 + 5*z**3/2 + 39*z**2/2 - 9*z/2 - 81 = 0.
-3, 2, 9
Solve -3*k**4 - 150*k**3 + 2115*k**2 - 7170*k + 5208 = 0.
-62, 1, 4, 7
Find w such that -4*w**2/5 + 16396*w/5 + 3280 = 0.
-1, 4100
Factor 50*u**3/11 + 3610*u**2/11 - 61642*u/11 + 238206/11.
2*(u + 87)*(5*u - 37)**2/11
Solve -3*t**5 - 149*t**4 - 1742*t**3 + 1004*t**2 + 5000*t + 2400 = 0.
-30, -20, -1, -2/3, 2
Factor 3*x**3/7 - 486*x**2/7 + 6513*x/7 + 2142.
3*(x - 147)*(x - 17)*(x + 2)/7
Suppose -2*q**4/13 - 816*q**3/13 - 4036*q**2/13 - 2400*q/13 + 558 = 0. What is q?
-403, -3, 1
Factor 3*k**3/5 - 71961*k**2/5 + 86313621*k - 431496147/5.
3*(k - 11993)**2*(k - 1)/5
Find x, given that -3*x**2/8 - 237*x/8 = 0.
-79, 0
Determine w so that -3*w**5 - 5697*w**4 - 3179658*w**3 - 429999822*w**2 - 850483443*w - 423657585 = 0.
-851, -195, -1
Factor -2*f**3/19 + 16928*f**2/19 - 169130*f/19 + 422700/19.
-2*(f - 8454)*(f - 5)**2/19
Factor 7*r**3 - 386*r**2 + 5152*r + 4704.
(r - 28)**2*(7*r + 6)
Factor -u**3/2 - 16498*u**2 + 32999*u/2 + 32997.
-(u - 2)*(u + 1)*(u + 32997)/2
Solve -2*d**2/25 - 285776*d/25 - 10208490272/25 = 0 for d.
-71444
Determine d so that -2*d**3 + 122*d**2 + 672*d - 792 = 0.
-6, 1, 66
Factor 42540*w**3 - 42537*w**2 - 3*w.
3*w*(w - 1)*(14180*w + 1)
Let 3*f**3/7 + 4209*f**2/7 = 0. What is f?
-1403, 0
Factor -2*g**4/11 + 5970*g**3/11 - 5968*g**2/11.
-2*g**2*(g - 2984)*(g - 1)/11
Factor 515524*q**2 + 634712*q + 195364.
4*(359*q + 221)**2
Let -9*o**2/4 + 15159*o - 25532809 = 0. What is o?
10106/3
Solve 2*v**2 - 16866*v + 16864 = 0.
1, 8432
Determine z so that 2*z**4/7 + 1364*z**3/7 - 29718*z**2/7 - 135176*z/7 - 140600/7 = 0.
-703, -2, 25
Factor 4*p**2/3 - 28*p - 332488/3.
4*(p - 299)*(p + 278)/3
Let -50*s**2 - 34260*s - 5868738 = 0. Calculate s.
-1713/5
Factor -7*v**3/3 + 251*v**2/3 + 670*v/3 - 3800/3.
-(v - 38)*(v + 5)*(7*v - 20)/3
Let -2*r**2 + 13462*r + 53880 = 0. What is r?
-4, 6735
Determine i so that i**4 + 2922*i**3 + 2137441*i**2 + 4266120*i + 2131600 = 0.
-1460, -1
Find m, given that 11*m**5/3 + 469*m**4/3 + 5570*m**3/3 + 11992*m**2/3 + 3680*m/3 - 3200/3 = 0.
-20, -2, -1, 4/11
Solve 3*w**2 + 7623*w + 857742 = 0 for w.
-2423, -118
Factor -2*v**3/9 + 33862*v**2 - 203170*v/3 + 304754/9.
-2*(v - 152377)*(v - 1)**2/9
Factor c**4 + 2522*c**3 - 2523*c**2.
c**2*(c - 1)*(c + 2523)
Let -2*m**5/13 + 686*m**4/13 + 13608*m**3/13 + 53464*m**2/13 + 40544*m/13 = 0. What is m?
-14, -4, -1, 0, 362
Factor y**4 + 3191*y**3 + 2661138*y**2 + 182282884*y + 179624936.
(y + 1)*(y + 74)*(y + 1558)**2
Factor -3*b**2/2 + 35459*b - 23639/2.
-(b - 23639)*(3*b - 1)/2
Suppose v**5/7 + 122*v**4/7 - 540*v**3 + 10090*v**2/7 + 3779*v/7 - 10212/7 = 0. What is v?
-148, -1, 1, 3, 23
Find m, given that 3*m**3 + 883851*m**2 + 1767693*m + 883845 = 0.
-294615, -1
Suppose -g**4/4 + 9*g**3/2 - 26*g**2 + 48*g = 0. Calculate g.
0, 4, 6, 8
Find q, given that 11*q**4/6 - 238*q**3 + 43223*q**2/6 + 34237*q + 17956/3 = 0.
-4, -2/11, 67
Let 6*w**5/11 - 12*w**4/11 - 24*w**3 - 108*w**2/11 + 2754*w/11 + 4536/11 = 0. Calculate w.
-3, 4, 7
Find s such that 2*s**5/3 + 38*s**4/9 - 190*s**3/9 + 94*s**2/3 - 176*s/9 + 40/9 = 0.
-10, 2/3, 1
Suppose -3*b**2/5 + 1134*b/5 - 107163/5 = 0. What is b?
189
Suppose 2*k**2/15 + 208*k/3 + 20234/5 = 0. What is k?
-453, -67
Find v, given that -4*v**2 + 3004*v - 17880 = 0.
6, 745
Determine k so that -k**5 + 3852*k**4 + 3853*k**3 = 0.
-1, 0, 3853
Factor 2*l**2 + 14126*l + 169224.
2*(l + 12)*(l + 7051)
Factor 2*c**4/3 + 36*c**3 - 2992*c**2 - 735680*c/3 - 4429568.
2*(c - 78)*(c + 44)**3/3
Factor 5*f**2 + 340630*f + 5801439845.
5*(f + 34063)**2
Determine y, given that -4*y**3 + 65776*y**2 - 270668048*y + 2161136768 = 0.
8, 8218
Factor -2*o**4/3 + 22160*o**3/3 - 27239436*o**2 + 33276085632*o + 573601999122.
-2*(o - 3699)**3*(o + 17)/3
Factor 2*n**3 - 2874*n**2 - 18*n + 25866.
2*(n - 1437)*(n - 3)*(n + 3)
Factor -s**3/5 - 1431*s**2/5 + 1432*s/5.
-s*(s - 1)*(s + 1432)/5
What is i in -15*i**3 - 1145*i**2 + 35270*i - 23000 = 0?
-100, 2/3, 23
Find m such that -m**5 + 595*m**4 - 4129*m**3 + 7641*m**2 + 1782*m - 10584 = 0.
-1, 2, 3, 588
Factor 2*w**3 - 15406*w**2 + 29644982*w + 89073654.
2*(w - 3853)**2*(w + 3)
Determine k, given that 21*k**4 - 43636*k**3 - 47857*k**2 + 83156*k + 8316 = 0.
-2, -2/21, 1, 2079
Determine q so that -16*q**3 + 220*q**2 - 484*q = 0.
0, 11/4, 11
Factor 4*b**3/5 + 607*b**2/5 + 1048*b/5 - 60.
(b + 2)*(b + 150)*(4*b - 1)/5
Suppose 10*u**5/9 + 454*u**4/9 + 5678*u**3/9 + 6482*u**2/9 - 49504*u/3 + 21632 = 0. Calculate u.
-24, -13, 8/5, 3
Solve 35*y**3 - 495*y**2 + 1750*y = 0 for y.
0, 7, 50/7
Factor -t**3 + 122*t**2 + 903*t.
-t*(t - 129)*(t + 7)
What is j in 2*j**2/7 - 21992*j/7 + 21990/7 = 0?
1, 10995
Determine d, given that -d**3 - 99*d**2 - 3192*d - 33712 = 0.
-43, -28
What is a in 9*a**5 - 13116*a**4 + 4952880*a**3 - 125868438*a**2 + 38110215*a + 82818450 = 0?
-2/3, 1, 27, 715
What is u in -83*u**4/4 - 333*u**3/2 - 431*u**2/4 + 288*u + 7 = 0?
-7, -2, -2/83, 1
Suppose -5*d**5 + 245*d**4 - 1720*d**3 + 3280*d**2 = 0. Calculate d.
0, 4, 41
Solve -27*y**5/7 + 86811*y**4/7 - 69832191*y**3/7 + 85240101*y**2/7 - 15494694*y/7 = 0.
0, 2/9, 1, 1607
Factor -4*s**4 - 928*s**3 - 1828*s**2 + 2760*s.
-4*s*(s - 1)*(s + 3)*(s + 230)
Factor -q**3/4 - 49*q**2/2 + 8079*q/4 - 12852.
-(q - 48)*(q - 7)*(q + 153)/4
Factor 3*w**2/5 + 7968*w/5 + 1078077/5.
3*(w + 143)*(w + 2513)/5
Factor 4*m**2 - 368*m - 17780.
4*(m - 127)*(m + 35)
Solve -2*g**2 + 105148*g - 1382012738 = 0 for g.
26287
Factor 5*q**4 - 1535*q**3 + 17940*q**2 - 71120*q + 94400.
5*(q - 295)*(q - 4)**3
Factor 3*t**3/8 - 63*t**2/8 - 2133*t/4 - 525.
3*(t - 50)*(t + 1)*(t + 28)/8
Factor -4*r**3 - 2920*r**2 - 31636*r.
-4*r*(r + 11)*(r + 719)
Let -z**5/5 - 9*z**4/5 + 17*z**3 + 41*z**2 - 84*z/5 - 196/5 = 0. Calculate z.
-14, -2, -1, 1, 7
Suppose -7*f**4/3 - 4906*f**3/9 + 11788*f**2/9 - 2840*f/9 - 1888/9 = 0. Calculate f.
-236, -2/7, 2/3, 2
Factor -144*p**3 + 2064720*p**2 - 688228*p + 57352.
-4*(p - 14338)*(6*p - 1)**2
Find d, given that 4*d**2 - 10056344*d + 6320628415396 = 0.
1257043
Factor 4*r**2 + 1436*r - 25568.
4*(r - 17)*(r + 376)
Solve 2*o**5/21 - 182486*o**4/21 + 34758*o**3 - 547426*o**2/21 - 729920*o/21 + 243304/7 = 0.
-1, 1, 2, 91239
Find r such that 252*r**3 + 191528*r**2 + 6080*r = 0.
-760, -2/63, 0
Suppose 9*f**4 + 1299*f**3 + 14304*f**2 - 45756*f + 23760 = 0. What is f?
-132, -15, 2/3, 2
Suppose 9*t**2 - 238436*t - 26493 = 0. What is t?
-1/9, 26493
Factor -x**5/5 + 801*x**4/5 - 3124*x**3.
-x**3*(x - 781)*(x - 20)/5
Factor a**2/5 + 9706*a + 97056/5.
(a + 2)*(a + 48528)/5
Let -4*n**3/3 + 45500*n**2/3 - 30328*n = 0. Calculate n.
0, 2, 11373
Determine w so that 2400*w**4/11 - 1040*w**3/11 - 94*w**2 + 44*w = 0.
-2/3, 0, 11/20
Solve 2*y**5/7 - 7118*y**4/7 + 6351014*y**3/7 - 4519166*y**2 + 7221728*y - 25261832/7 = 0.
1, 2, 1777
Factor 2*j**3/5 - 7584*j**2/5 + 1431840*j + 11552000.
2*(j - 1900)**2*(j + 8)/5
Determine n so that -2*n**3 + 47056*n**2 + 141194*n - 188248 = 0.
-4, 1, 23531
Factor -x**3 + 241*x**2 + 976*x + 980.
-(x - 245)*(x + 2)**2
What is y in 145*y**2 - 75590*y - 75735 = 0?
-1, 15147/29
Factor -177884*h**2 - 8*h.
-4*h*(44471*h + 2)
Solve -2*j**3/3 + 31436*j**2/3 - 123559192*j/3 + 246992656/3 = 0 for j.
2, 7858
What is a in -a**2/3 - 4637*a/3 + 1546 = 0?
-4638, 1
Solve 5*d**4 - 8710*d**3 - 8725*d**2 + 17430*d = 0 for d.
-2, 0, 1, 1743
Suppose 4*d**2 - 36808*d + 84676804 = 0. Calculate d.
4601
Let -b**3/8 + 735*b**2/8 - 1350*b = 0. Calculate b.
0, 15, 720
Suppose -k**3/3 - 8381*k**2/3 - 17547712*k/3 + 17572864 = 0. Calculate 