 219040/7 = 0.
-74, -5, -2
Determine n, given that 4*n**5 - 760*n**4 + 696*n**3 + 11248*n**2 + 17348*n + 7560 = 0.
-2, -1, 5, 189
Factor x**3/2 + 3281*x**2/2 + 1346440*x + 1344800.
(x + 1)*(x + 1640)**2/2
Suppose -2*i**4/15 + 2*i**3/15 + 218*i**2/5 - 1946*i/15 + 1292/15 = 0. Calculate i.
-19, 1, 2, 17
Factor -q**2 + 150094*q - 5632052209.
-(q - 75047)**2
Factor q**3/12 + 328*q**2 + 2620*q + 15712/3.
(q + 4)**2*(q + 3928)/12
Suppose -3*g**5 + 21*g**4 + 15*g**3 - 105*g**2 - 12*g + 84 = 0. Calculate g.
-2, -1, 1, 2, 7
Factor -q**2/4 - 96951*q + 387805/4.
-(q - 1)*(q + 387805)/4
Find z, given that -23*z**5/5 + 1071*z**4/10 - 5423*z**3/10 + 817*z**2/10 + 3021*z/10 + 56 = 0.
-1/2, -5/23, 1, 7, 16
Solve -15*q**5 - 33*q**4 + 114*q**3 + 24*q**2 = 0.
-4, -1/5, 0, 2
Solve 3*f**4/2 - 33*f**3/2 - 1365*f**2 - 14100*f - 36000 = 0.
-15, -10, -4, 40
Solve y**2/4 - 19895*y + 395811025 = 0.
39790
Factor -2*o**2/5 + 78*o/5 + 644/5.
-2*(o - 46)*(o + 7)/5
Solve 2*j**5/7 + 21388*j**4/21 - 114188*j**3/21 + 185608*j**2/21 - 38078*j/7 + 1020 = 0.
-3570, 1/3, 1, 3
Factor -5*i**2 - 312240*i - 4874690880.
-5*(i + 31224)**2
Factor -o**2/3 + 2933*o/3 - 20482/3.
-(o - 2926)*(o - 7)/3
Solve -2*v**5/17 - 112*v**4/17 - 2208*v**3/17 - 17564*v**2/17 - 45790*v/17 - 30324/17 = 0.
-19, -14, -3, -1
Factor 2*p**5 + 15514*p**4 + 93030*p**3 + 139518*p**2.
2*p**2*(p + 3)**2*(p + 7751)
Suppose j**4 - 94*j**3 + 1385*j**2 - 1292*j = 0. Calculate j.
0, 1, 17, 76
Let 4*h**4/5 - 868*h**3 + 1196472*h**2/5 - 10376944*h/5 - 2315552 = 0. Calculate h.
-1, 10, 538
Suppose -5*j**3 - 55*j**2 + 1505*j - 6125 = 0. Calculate j.
-25, 7
Find r, given that 2*r**2/9 - 100246*r/9 - 33416/3 = 0.
-1, 50124
Factor -5*m**3 - 629*m**2 + 89608*m - 2304324.
-(m - 46)**2*(5*m + 1089)
Factor -2*h**5 + 18*h**4 + 206*h**3 + 342*h**2 - 756*h - 1728.
-2*(h - 16)*(h - 2)*(h + 3)**3
What is s in -6*s**2/7 - 1260*s + 160704/7 = 0?
-1488, 18
Find o such that 3*o**2 + 27150*o + 61426875 = 0.
-4525
Factor 9*w**3 - 4101*w**2 - 5496*w + 5484.
3*(w - 457)*(w + 2)*(3*w - 2)
Suppose 3*y**5/2 - 228*y**4 + 897*y**3 - 1338*y**2 + 1779*y/2 - 222 = 0. What is y?
1, 148
Factor m**2/4 - 10729*m/2 + 21457/4.
(m - 21457)*(m - 1)/4
Find n, given that -48345*n**2/8 + 87*n/8 = 0.
0, 29/16115
Solve -3*j**4/5 - 2928*j**3/5 - 12114*j**2 - 387504*j/5 - 139239 = 0 for j.
-955, -9, -3
Determine z, given that -z**5/7 - 6744*z**4/7 + 20239*z**3/7 - 13494*z**2/7 = 0.
-6747, 0, 1, 2
Solve 8*z**4/3 + 1094*z**3/3 + 2124*z**2 + 12616*z/3 + 8368/3 = 0 for z.
-523/4, -2
Factor 142*s**2/17 + 104*s/17 - 38/17.
2*(s + 1)*(71*s - 19)/17
Suppose -3*c**3 + 113226*c**2 - 1068230688*c - 2136914304 = 0. What is c?
-2, 18872
What is p in -p**3/4 + 497*p**2/4 - 1940*p + 7696 = 0?
8, 481
Factor 3*f**3/8 + 1137*f**2/8 + 11145*f/8 + 27675/8.
3*(f + 5)**2*(f + 369)/8
Find c, given that 2*c**3 + 114968*c**2 = 0.
-57484, 0
Suppose -5*n**2/6 - 189158*n/3 - 25221/2 = 0. What is n?
-75663, -1/5
Determine q, given that -4*q**4 + 316*q**3 + 10944*q**2 + 53424*q = 0.
-21, -6, 0, 106
Suppose -r**2/2 - 878*r + 1757/2 = 0. Calculate r.
-1757, 1
Factor -y**4 - 109*y**3 - 2982*y**2 + 1620*y + 122472.
-(y - 6)*(y + 7)*(y + 54)**2
Factor 2*h**2 - 24394*h + 48780.
2*(h - 12195)*(h - 2)
Find z, given that 2*z**5/11 + 1580*z**4/11 + 21832*z**3/11 + 80656*z**2/11 - 37824*z/11 - 446976/11 = 0.
-776, -6, -4, 2
Determine v so that -4*v**3 + 5372*v**2 + 54020*v + 135300 = 0.
-5, 1353
Let -z**3/9 - 58*z**2/9 - 739*z/9 + 266/3 = 0. What is z?
-38, -21, 1
Find d such that 7*d**2/2 + 493*d/4 + 105/4 = 0.
-35, -3/14
Factor -2*u**3/5 + 28*u**2/5 + 98*u/5 + 68/5.
-2*(u - 17)*(u + 1)*(u + 2)/5
Solve -g**5/3 - 422*g**4/3 - 972*g**3 - 4558*g**2/3 + 2917*g/3 + 1660 = 0 for g.
-415, -4, -3, -1, 1
Determine a, given that 3*a**5/5 - 9*a**4/5 - 1452*a**3/5 - 288*a**2 = 0.
-20, -1, 0, 24
Let -2*k**2/13 - 24*k + 110840/13 = 0. What is k?
-326, 170
Find j, given that -5*j**3 + 1069335*j**2 - 1069320*j - 2138660 = 0.
-1, 2, 213866
Determine x, given that 2*x**3 - 42*x**2 + 240*x - 200 = 0.
1, 10
Factor 3*r**4 - 2964*r**3 + 1050636*r**2 - 157352832*r + 8455007232.
3*(r - 336)**2*(r - 158)**2
Find a such that 12*a**4 + 1214459*a**3 + 3339742*a**2/3 + 337347*a + 101204/3 = 0.
-101204, -1/3, -1/4
What is t in -11*t**5 - 949*t**4/3 - 3859*t**3/3 + 14347*t**2 - 59636*t/3 - 5780/3 = 0?
-17, -1/11, 2, 10/3
Suppose v**4 + 153*v**3 + 564*v**2 - 4768*v = 0. What is v?
-149, -8, 0, 4
Solve 5*w**4 + 88200*w**3 - 1942215*w**2 + 10685510*w = 0.
-17662, 0, 11
Determine n, given that n**3/2 + 15*n**2 + 131*n/2 + 75 = 0.
-25, -3, -2
Suppose 18*f**2/7 + 22372*f + 34800/7 = 0. What is f?
-8700, -2/9
Factor -k**3/8 - 23*k**2/4 + k/8 + 23/4.
-(k - 1)*(k + 1)*(k + 46)/8
What is b in b**4 - 983*b**3 - 4932*b**2 - 7900*b - 3952 = 0?
-2, -1, 988
Suppose -w**5/3 - 1961*w**4/3 - 24498*w**3 - 808052*w**2/3 - 742840*w/3 + 7035616 = 0. What is w?
-1923, -14, 4
Factor z**3 + 539*z**2.
z**2*(z + 539)
Find w such that 21*w**5/5 + 58584*w**4/5 + 41808*w**3/5 - 75318*w**2/5 - 41829*w/5 + 16734/5 = 0.
-2789, -1, 2/7, 1
Solve 4*c**4 - 61664*c**3 - 61668*c**2 = 0 for c.
-1, 0, 15417
Factor -y**4 - 25208*y**3 - 158633701*y**2 + 2863579842*y.
-y*(y - 18)*(y + 12613)**2
What is g in -3*g**3/7 + 939*g**2/7 + 23004*g/7 + 8640 = 0?
-20, -3, 336
Factor -5*h**2 + 20920*h - 41820.
-5*(h - 4182)*(h - 2)
Let 3*k**4/7 + 327*k**3/7 - 345*k**2/7 - 237*k - 990/7 = 0. Calculate k.
-110, -1, 3
Let -z**3 - 45420*z**2 + 90843*z - 45422 = 0. What is z?
-45422, 1
Factor j**4/5 - 104*j**3 + 510*j**2 + 2600*j - 12875.
(j - 515)*(j - 5)**2*(j + 5)/5
Determine y, given that -18626*y**2 + 18554*y + 72 = 0.
-36/9313, 1
Factor -3*q**4 - 54*q**3 + 27*q**2 + 486*q.
-3*q*(q - 3)*(q + 3)*(q + 18)
Solve 11*q**3/10 - 4008*q**2/5 - 67043*q/10 - 8844/5 = 0 for q.
-8, -3/11, 737
Let 2*v**2 + 1143772*v + 163526798498 = 0. Calculate v.
-285943
Suppose 4*i**5 - 972*i**4 + 7576*i**3 - 13128*i**2 - 7580*i + 14100 = 0. What is i?
-1, 1, 3, 5, 235
Suppose t**5/8 - 117*t**4/8 + 3111*t**3/8 + 18605*t**2/8 = 0. What is t?
-5, 0, 61
Suppose -22*i**5/5 + 2198*i**4/5 - 54712*i**3/5 - 13792*i**2/5 + 43840*i + 4000 = 0. Calculate i.
-2, -1/11, 2, 50
Suppose -2*p**5/7 - 444*p**4/7 - 3020*p**3/7 - 2136*p**2/7 + 3022*p/7 + 2580/7 = 0. Calculate p.
-215, -6, -1, 1
Factor h**3/3 + 1389*h**2 - 23704*h + 66944/3.
(h - 16)*(h - 1)*(h + 4184)/3
Find c such that 4*c**5 + 860*c**4 + 53208*c**3 + 1155712*c**2 + 6018560*c + 4915200 = 0.
-128, -40, -6, -1
Let -16*z**3 + 2636*z**2 - 104160*z - 366912 = 0. What is z?
-13/4, 84
Let -k**3 - 1920*k**2 + 3844*k = 0. What is k?
-1922, 0, 2
Factor -14*w**3 - 16237*w**2 - 4706120*w + 1009200.
-(w + 580)**2*(14*w - 3)
Suppose 3*d**4 + 339*d**3 - 2883*d**2 + 2541*d = 0. Calculate d.
-121, 0, 1, 7
Find w such that -441*w**5 + 3657*w**4 - 9993*w**3 + 8847*w**2 + 378*w = 0.
-2/49, 0, 7/3, 3
Suppose -2*i**2/7 - 504*i + 3530/7 = 0. Calculate i.
-1765, 1
Let s**4/2 + 2469*s**3/4 - 23627*s**2/4 + 2799*s = 0. Calculate s.
-1244, 0, 1/2, 9
Solve -n**2/4 + 27469*n/2 - 754545961/4 = 0.
27469
Suppose 4*y**3 + 3904*y**2 + 7792*y = 0. Calculate y.
-974, -2, 0
Factor c**2/9 + 403*c - 25438/9.
(c - 7)*(c + 3634)/9
Find o, given that 33*o**4 + 954*o**3 + 5853*o**2 + 7776*o - 756 = 0.
-21, -6, -2, 1/11
Suppose -2*n**5 + 1638*n**4 - 317428*n**3 - 7486080*n**2 + 16228800*n = 0. What is n?
-23, 0, 2, 420
Factor -b**3 + 1177*b**2 + 3568*b - 33040.
-(b - 1180)*(b - 4)*(b + 7)
Factor 3*w**5/4 - 404493*w**4/4.
3*w**4*(w - 134831)/4
Find h such that 6375*h**2 + 11931*h - 1638 = 0.
-2, 273/2125
What is a in -3*a**3 - 468*a**2 + 1911*a - 1440 = 0?
-160, 1, 3
Factor 5*j**2 + 22760*j - 45540.
5*(j - 2)*(j + 4554)
Suppose y**4/7 + 143*y**3/7 + 142*y**2/7 = 0. Calculate y.
-142, -1, 0
Find k such that -3*k**2 - 3979584*k - 1319757401088 = 0.
-663264
Factor -4*c**2/3 + 7940*c/3 - 126016/3.
-4*(c - 1969)*(c - 16)/3
Find x such that -4*x**3 - 255976*x**2 - 4095232036*x = 0.
-31997, 0
Find l such that 8*l**4/17 + 182418*l**3/17 - 136836*l**2/17 - 410458*l/17 - 91212/17 = 0.
-22803, -1, -1/4, 2
Factor x**4 - 790*x**3 - 7164*x**2 - 21546*x - 21573.
(x - 799)*(x + 3)**3
Determine o, given that 169*o**2/3 - 248612*o/3 + 91431844/3 = 0.
9562/13
Solve 4*g**5 + 4292*g**4 - 75296*g**3 - 786264000*g**2 = 0 for g.
-724