e i so that 5*i**3 - 1191850*i**2 + 71027704765*i - 284091749780 = 0.
4, 119183
Determine r, given that -45*r**5 - 4153575*r**4 + 92780905*r**3 - 435311145*r**2 - 321749740*r - 55394400 = 0.
-92324, -1/3, 8, 15
Factor -3*u**2 + 336558*u - 205848495.
-3*(u - 111571)*(u - 615)
Let -22*f**5/3 + 238300*f**4/3 - 12429102*f**3 - 44356348*f**2/3 - 6830720*f/3 = 0. Calculate f.
-1, -2/11, 0, 160, 10673
Let 4*u**3/5 + 29468*u**2 + 1352312192*u/5 - 83040203776/5 = 0. Calculate u.
-18448, 61
Factor -60*q**2 + 147333*q - 147273.
-3*(q - 1)*(20*q - 49091)
Let u**3 - 10295*u**2 - 434289*u + 1395495 = 0. What is u?
-45, 3, 10337
Factor -a**2/4 + 4987952*a + 19951812.
-(a - 19951812)*(a + 4)/4
Factor 4*k**3/3 + 74908*k**2/3 + 350588140*k/3 - 350812900.
4*(k - 3)*(k + 9365)**2/3
Suppose w**2/3 - 469667*w - 1409002/3 = 0. What is w?
-1, 1409002
Factor d**3 + 178263*d**2 - 1782709*d + 3743733.
(d - 7)*(d - 3)*(d + 178273)
Suppose -5*d**2 - 722235*d + 15169140 = 0. What is d?
-144468, 21
Find k such that -k**4/4 + 370061*k**3/4 + 1480261*k**2/4 - 370061*k/4 - 370065 = 0.
-4, -1, 1, 370065
Factor z**2/4 - 2313975*z/4 - 578494.
(z - 2313976)*(z + 1)/4
Suppose 2*a**2 - 1024790*a + 1024788 = 0. What is a?
1, 512394
Factor -c**3/2 - 37821*c**2/2 - 2600127*c.
-c*(c + 138)*(c + 37683)/2
Factor 4*q**2 + 14824*q + 44436.
4*(q + 3)*(q + 3703)
Determine o, given that 5*o**4 - 656080*o**3 - 5*o**2 + 656080*o = 0.
-1, 0, 1, 131216
Factor -2*i**2/5 + 23464422*i/5 + 23464424/5.
-2*(i - 11732212)*(i + 1)/5
Determine u so that u**2/4 + 38157*u/2 + 343332 = 0.
-76296, -18
Factor -4*c**3 + 183212*c**2 - 2190367004*c + 2093426099380.
-4*(c - 22379)**2*(c - 1045)
Suppose 5*h**2 - 7369750*h - 88437720 = 0. Calculate h.
-12, 1473962
Factor -2*m**2/3 - 47054648*m - 830302461901464.
-2*(m + 35290986)**2/3
Factor o**3/7 + 7345*o**2/7 + 393714*o/7.
o*(o + 54)*(o + 7291)/7
Factor -2*u**2/7 + 15008*u - 43563960/7.
-2*(u - 52110)*(u - 418)/7
Suppose -4*z**3 - 3404*z**2 + 138688*z - 135280 = 0. What is z?
-890, 1, 38
Let 4*c**5 + 12644*c**4 + 7982272*c**3 - 3177259808*c**2 + 250822706624*c + 254007936064 = 0. What is c?
-1726, -1, 146
Factor -7*j**2/4 + 3787395*j/2 + 1082113/4.
-(j - 1082113)*(7*j + 1)/4
Solve g**2/2 + 2955482*g + 29554795/2 = 0 for g.
-5910959, -5
Suppose v**4 + 27799928*v**3 + 193209027001222*v**2 + 386417970602664*v + 193208971401369 = 0. What is v?
-13899963, -1
Determine n, given that 3*n**4/4 + 2013*n**3/4 + 360879*n**2/4 + 7464207*n/4 - 29107791/2 = 0.
-323, -31, 6
Factor -2*f**3 - 402*f**2 + 214632*f + 1301832.
-2*(f - 246)*(f + 6)*(f + 441)
Find b such that 4*b**5 - 3640*b**4 - 48284*b**3 + 265616*b**2 + 193072*b - 1004224 = 0.
-17, -2, 2, 4, 923
Suppose 2*z**4/3 - 143360*z**3/3 - 1577138*z**2/3 - 4588168*z/3 - 1338232 = 0. What is z?
-7, -2, 71691
Factor -t**2/7 - 309*t + 1469314.
-(t - 2303)*(t + 4466)/7
Suppose 2*g**2/7 - 134*g/7 - 1808460/7 = 0. Calculate g.
-918, 985
Factor s**3/6 - 23693*s**2.
s**2*(s - 142158)/6
Factor 20*i**2/7 - 1557384*i + 4360672/7.
4*(i - 545084)*(5*i - 2)/7
Let -p**3/2 + 7812*p**2 - 27825120*p + 28757548800 = 0. What is p?
2280, 11064
Factor 4*i**4 - 2048*i**3 + 12144*i**2 + 128*i - 64768.
4*(i - 506)*(i - 4)**2*(i + 2)
What is n in -12*n**3 + 250486*n**2/3 + 53672924*n/3 + 2981056/3 = 0?
-208, -1/18, 7166
Factor -w**3/6 + 293*w**2/2 - 30699*w + 361388/3.
-(w - 541)*(w - 334)*(w - 4)/6
Factor 2*z**2/7 - 757772026*z/7.
2*z*(z - 378886013)/7
Suppose -2*c**5/11 + 3538*c**4/11 + 21342*c**3/11 - 74482*c**2/11 - 120796*c/11 + 170400/11 = 0. Calculate c.
-8, -2, 1, 3, 1775
Determine b so that 5*b**2 + 8985*b - 3571100 = 0.
-2132, 335
Determine w, given that -3*w**3/4 + 404628*w**2 - 54575415375*w + 218295187500 = 0.
4, 269750
Factor i**2/5 - 10529126*i/5 + 27715623580969/5.
(i - 5264563)**2/5
Suppose -3*x**2 - 15759051*x + 15759054 = 0. Calculate x.
-5253018, 1
Factor 3*t**2 - 3827865*t + 30622728.
3*(t - 1275947)*(t - 8)
Determine x, given that -2*x**3/13 + 4426*x**2 + 1382288*x/13 - 6449632/13 = 0.
-28, 4, 28793
Suppose z**5/2 - 178*z**4 - 8223*z**3/2 + 4376243*z**2 - 8720176*z - 13100352 = 0. What is z?
-142, -1, 3, 248
Factor -9*n**3 - 8255073*n**2 - 291670819*n - 2576400755.
-(n + 917195)*(3*n + 53)**2
Factor 6*m**3/5 - 596746*m**2/5 + 2974081728*m - 1623619129608/5.
2*(m - 49674)**2*(3*m - 329)/5
Let k**2 + 1615*k - 1343100 = 0. What is k?
-2220, 605
Factor -2*p**2/9 + 241798*p/9 - 1853432/3.
-2*(p - 120876)*(p - 23)/9
Factor y**3/2 + 547*y**2 - 28552*y + 54912.
(y - 48)*(y - 2)*(y + 1144)/2
Factor -3*s**2/2 - 436095*s/2 - 2180325.
-3*(s + 10)*(s + 145355)/2
Solve h**5/10 - 131*h**4/2 + 53129*h**3/5 + 165309*h**2/5 - 956403*h/10 - 2922507/10 = 0 for h.
-3, 3, 329
Factor -z**2/5 + 6326*z/5 - 8337888/5.
-(z - 4454)*(z - 1872)/5
Factor 2*u**3/7 - 8781548*u**2/7 + 1377070295304*u - 13770577502640.
2*(u - 2195382)**2*(u - 10)/7
Find p, given that 4*p**3 + 452*p**2 - 25572*p + 72540 = 0.
-155, 3, 39
Factor t**3/4 + 8919*t**2/2 - 482383*t/4 - 125055.
(t - 28)*(t + 1)*(t + 17865)/4
Suppose -360*v**4 - 553410*v**3 - 691295*v**2 - 145925*v - 7680 = 0. Calculate v.
-1536, -1, -1/6, -1/12
Find o such that 89758*o**2/11 - 3680070*o/11 - 328/11 = 0.
-4/44879, 41
Find r, given that r**5/4 + 183893*r**4/4 - 183897*r**3/4 - 551681*r**2/4 + 45974*r + 91947 = 0.
-183894, -1, 1, 2
Find n such that n**3 + 73315*n**2 + 806362*n + 1319472 = 0.
-73304, -9, -2
Solve a**2 - 60843*a + 1034042 = 0 for a.
17, 60826
Factor 4*r**2 + 38661360*r + 93418797315600.
4*(r + 4832670)**2
Find m, given that 21*m**4 + 1555131*m**3 + 1332951*m**2 - 222159*m = 0.
-74053, -1, 0, 1/7
Factor -4*i**4 - 47412*i**3 - 140848524*i**2 - 2102073660*i.
-4*i*(i + 15)*(i + 5919)**2
Factor 5*i**2 + 967826555*i + 967826550.
5*(i + 1)*(i + 193565310)
Suppose 4*p**4/3 - 9026*p**3/3 + 146132*p**2 - 3112526*p/3 + 1447792/3 = 0. What is p?
1/2, 8, 41, 2207
Let 3*b**3 + 40275*b**2 + 6091848*b = 0. Calculate b.
-13272, -153, 0
Factor 2*w**2/9 + 685064*w/9 + 58664085512/9.
2*(w + 171266)**2/9
Determine s so that -4*s**3/5 + 1292*s**2/5 - 37224*s/5 - 10870848/5 = 0.
-72, 162, 233
Find o such that -5*o**2 - 29836445*o - 298363950 = 0.
-5967279, -10
Let 4*d**2 + 24668*d + 2043888 = 0. What is d?
-6083, -84
Factor 4*r**3 + 23563812*r**2 - 117819160*r.
4*r*(r - 5)*(r + 5890958)
Let -2*y**3 - 140598*y**2 - 2469497760*y + 51921475200 = 0. Calculate y.
-35160, 21
Let 4*g**4 + 715960*g**3 + 32036704132*g**2 - 64075556160*g + 32038136064 = 0. Calculate g.
-89496, 1
Factor 5*r**3 + 34795*r**2 + 312750*r.
5*r*(r + 9)*(r + 6950)
What is k in -5*k**3 + 1014555*k**2 + 8116760*k = 0?
-8, 0, 202919
What is a in -a**5/7 - 347177*a**4/7 - 3818865*a**3/7 - 13539523*a**2/7 - 17011154*a/7 - 6943320/7 = 0?
-347166, -5, -4, -1
Solve 5*g**3 + 21689775*g**2 - 43379565*g + 21689785 = 0.
-4337957, 1
Factor 3*d**3 - 2991*d**2 + 17358*d + 475680.
3*(d - 991)*(d - 16)*(d + 10)
Factor 2*r**3 + 7511878*r**2 + 7053535129920*r - 7053542641800.
2*(r - 1)*(r + 1877970)**2
What is m in -49*m**5/3 + 20804*m**4/3 - 1535041*m**3/3 - 16486174*m**2/3 + 9794660*m/3 - 1417000/3 = 0?
-10, 2/7, 109, 325
Factor 2*s**2/9 + 20750504*s + 373509064/9.
2*(s + 2)*(s + 93377266)/9
Find l, given that 4*l**2/3 + 4759844*l/3 - 9519704/3 = 0.
-1189963, 2
Factor w**3/2 + 288*w**2 - 56659*w/2 + 338793.
(w - 73)*(w - 14)*(w + 663)/2
Let -3*s**3 - 99*s**2 + 7140*s = 0. Calculate s.
-68, 0, 35
Factor -4342*v**2 - 1315621*v + 1515.
-(v + 303)*(4342*v - 5)
What is r in 2*r**2/7 - 2223976*r/7 - 1270848 = 0?
-4, 1111992
Solve 2*n**4/5 - 72*n**3 + 17992*n**2/5 - 64512*n/5 - 9300096/5 = 0 for n.
-18, 52, 54, 92
Find v, given that -4*v**3 + 33500*v**2 - 32718416*v - 32751920 = 0.
-1, 1130, 7246
Let 8*x**5 - 842*x**4 + 25796*x**3 - 123456*x**2 - 2715660*x - 1956150 = 0. Calculate x.
-7, -3/4, 23, 45
Suppose 3*u**2/5 - 6345501*u/5 + 34265268 = 0. What is u?
27, 2115140
Determine s, given that -115*s**4 + 150170*s**3 + 780635*s**2 - 773370*s - 157320 = 0.
-6, -4/23, 1, 1311
Factor 4*m**3 + 897168*m**2 - 240656496*m + 16128797440.
4*(m - 134)**2*(m + 224560)
Factor 2*z**3 + 73096*z**2 - 13295898*z.
2*z*(z - 181)*(z + 36729)
Let -y**3/2 + 26443*y**2 - 1690816*y + 27044864 = 0. Calculate y.
32, 52822
Determine x so that 4*x**3 + 13758673*x**2/3 - 12612125*x/3 + 2293114/3 = 0