 = 0.
-5342, -7, 17
Let 3*b**4/4 + 9645*b**3/2 + 288891*b**2/4 + 346491*b + 519615 = 0. What is b?
-6415, -6, -3
Factor -20*y**2/9 - 10456402*y/9 - 1045640/9.
-2*(y + 522820)*(10*y + 1)/9
Factor 3*l**2 - 100155*l - 2204862.
3*(l - 33407)*(l + 22)
Let 5*n**5/4 - 19105*n**4/2 - 7080295*n**3/4 - 77392335*n**2 + 331115805*n - 338348880 = 0. Calculate n.
-93, 2, 7824
Determine u so that 3*u**4/4 - 158568777*u**3 + 16762704375712929*u**2/2 + 16762704851419263*u + 33525410019976083/4 = 0.
-1, 105712519
Solve -84*p**4 - 9740984*p**3 + 18554492*p**2 - 7885696*p - 927728 = 0 for p.
-115966, -2/21, 1
Solve -4*c**4 + 91*c**3 + 2848*c**2 - 23731*c - 133644 = 0 for c.
-21, -4, 43/4, 37
Factor -2*c**3 + 11604*c**2 - 437986*c - 449592.
-2*(c - 5764)*(c - 39)*(c + 1)
Factor -3*f**2/7 + 566856606*f/7 - 26777200980486603/7.
-3*(f - 94476101)**2/7
Factor -4*r**3/5 - 239304*r**2/5 - 1435716*r/5 - 430704.
-4*(r + 3)**2*(r + 59820)/5
Factor 3*k**3/4 - 7158*k**2 + 200253*k/4 + 57222.
3*(k - 9537)*(k - 8)*(k + 1)/4
Find n such that -2*n**3 - 56924*n**2 - 284582*n - 341484 = 0.
-28457, -3, -2
Solve 5*k**4/3 + 19892*k**3/3 + 2022433*k**2/3 + 793858*k/3 - 402896 = 0.
-3874, -104, -1, 3/5
Factor -2*d**3/9 - 16690772*d**2/9 - 66763064*d/9 - 22254352/3.
-2*(d + 2)**2*(d + 8345382)/9
Find t such that t**2/6 - 12492*t - 599744/3 = 0.
-16, 74968
Determine h, given that -3*h**2/4 + 481665*h/2 - 33712875/4 = 0.
35, 321075
Factor 2*l**2/3 + 15902036*l + 94828030854486.
2*(l + 11926527)**2/3
Let -3*o**5 - 738*o**4 - 3615*o**3 + 60*o**2 + 14508*o + 11568 = 0. Calculate o.
-241, -4, -2, -1, 2
Determine z so that 3*z**4 - 1944*z**3 - 184167*z**2 + 8639664*z - 8453556 = 0.
-114, 1, 34, 727
Find x, given that x**3/5 - 5444*x**2/5 - 158813*x/5 + 525408/5 = 0.
-32, 3, 5473
Factor z**2/6 + 12670901*z/6 - 2111817.
(z - 1)*(z + 12670902)/6
Let -5*g**2 - 19975*g - 159480 = 0. Calculate g.
-3987, -8
Solve -3*w**3 - 2412444*w**2 + 55487733*w - 53075286 = 0.
-804171, 1, 22
Determine c, given that -c**5 + 2644*c**4 + 150474*c**3 + 1961824*c**2 - 4385641*c + 2270700 = 0.
-29, 1, 2700
Factor -2*r**2 - 270652*r/15 + 176890/3.
-2*(r + 9025)*(15*r - 49)/15
Let 3*y**4 + 40701*y**3 - 5967438*y**2 - 37269216*y = 0. What is y?
-13712, -6, 0, 151
Suppose 5*g**4 + 4720000*g**3 + 1113910559960*g**2 - 4455698880000*g + 4455717760080 = 0. What is g?
-472002, 2
Factor -400*h**3 + 2668840*h**2 - 4449021801*h - 8908722162.
-(h + 2)*(20*h - 66741)**2
Factor -3*t**2 + 338661*t - 338658.
-3*(t - 112886)*(t - 1)
Suppose w**5/5 - 231*w**4/5 + 8607*w**3/5 + 87991*w**2 - 6015912*w/5 + 3737916 = 0. What is w?
-35, 6, 91, 163
Factor 2*d**3/17 + 19042*d**2/17 + 33787838*d/17 - 58064816802/17.
2*(d - 1041)*(d + 5281)**2/17
Factor o**2 - 7985*o - 5584904.
(o - 8632)*(o + 647)
Suppose 5*l**5 - 1355*l**4 + 85370*l**3 + 481020*l**2 - 1292760*l = 0. What is l?
-7, 0, 2, 114, 162
Suppose 54*q**5 + 7692*q**4 - 136216*q**3/3 - 447568*q**2/3 - 177728*q/3 - 18944/3 = 0. Calculate q.
-148, -2, -2/9, 8
Determine n so that 2*n**3/9 + 1079300*n**2/3 + 145616457600*n + 4368169944000 = 0.
-809460, -30
Factor -4*z**3 + 140820*z**2 + 2254144*z.
-4*z*(z - 35221)*(z + 16)
Find z such that -z**4/4 + 1391*z**3/4 + 697*z**2/2 - 696*z = 0.
-2, 0, 1, 1392
Factor 4*b**3/3 + 422156*b**2/3 + 10922882828*b/3 - 11431514466812/3.
4*(b - 1007)*(b + 53273)**2/3
Determine l so that -78*l**2/7 + 404295456*l/7 - 31099650/7 = 0.
1/13, 5183275
Factor 3*x**2/5 - 1976253*x/5 + 31616208.
3*(x - 658671)*(x - 80)/5
Factor -5*p**2 - 418531630*p.
-5*p*(p + 83706326)
Factor m**2/8 - 6643887*m/4 + 44141234468769/8.
(m - 6643887)**2/8
Factor 2*s**2/3 + 516*s + 197386/3.
2*(s + 161)*(s + 613)/3
Factor 6*n**2 - 47426*n/9 - 155696/3.
2*(n - 888)*(27*n + 263)/9
Find w, given that -3*w**3/4 - 249363*w**2/4 - 15451857*w/4 - 239459097/4 = 0.
-83059, -31
What is u in -2*u**3/5 + 27006*u**2/5 - 121512672*u/5 + 36436639104 = 0?
4335, 4584
Factor 2*u**2/9 + 161950*u/3 - 4536168.
2*(u - 84)*(u + 243009)/9
Factor -185234*x**2 - 185354*x - 120.
-2*(x + 1)*(92617*x + 60)
Factor -4*z**2 - 1066288*z + 31992240.
-4*(z - 30)*(z + 266602)
Let 2*a**4/7 + 708060*a**3 + 3070772314874*a**2/7 + 1754718540360*a + 12283009956872/7 = 0. Calculate a.
-1239103, -2
Factor 3*g**2 + 161005530*g + 2160231724215075.
3*(g + 26834255)**2
Suppose -5*i**2 + 72998785*i + 72998790 = 0. Calculate i.
-1, 14599758
What is s in -584150*s**2/13 + 2336736*s/13 - 544/13 = 0?
68/292075, 4
Suppose 2*m**3/7 - 227224*m**2 + 6362104*m - 44534336 = 0. Calculate m.
14, 795256
Factor -3*f**2 - 74490276*f - 462400101546348.
-3*(f + 12415046)**2
Factor -c**4 - 199871*c**3 - 13376672190*c**2 - 303770788877556*c - 267462929376549144.
-(c + 917)*(c + 66318)**3
Factor 4*q**3 + 1616*q**2 - 137924*q + 648720.
4*(q - 68)*(q - 5)*(q + 477)
What is c in -c**3/7 - 5879*c**2 - 3244846*c/7 = 0?
-41074, -79, 0
Factor -i**3/6 + 68171*i**2/3 + 52192087*i/6 + 2493914122/3.
-(i - 136724)*(i + 191)**2/6
Factor 2*q**2 + 600550196*q + 45082567239454802.
2*(q + 150137549)**2
Factor 4*z**2 + 196276824*z.
4*z*(z + 49069206)
Factor -j**2/4 + 203*j/4 + 89385.
-(j - 708)*(j + 505)/4
Suppose -5*u**3 + 19210*u**2 - 7824695*u + 7805490 = 0. What is u?
1, 462, 3379
Determine q so that -7*q**3 - 1228*q**2 - 4097*q + 5332 = 0.
-172, -31/7, 1
Factor 5*q**2 + 2287000*q - 178416420.
5*(q - 78)*(q + 457478)
Factor 3*x**2 - 358062*x + 716112.
3*(x - 119352)*(x - 2)
Factor t**3/6 + 856*t**2 + 35909*t/6 + 5129.
(t + 1)*(t + 6)*(t + 5129)/6
Find a such that 4*a**4/3 - 3261*a**3 - 747514*a**2/3 - 777769*a - 178920 = 0.
-71, -3, -1/4, 2520
Factor 2*l**2/9 - 847804*l/9 + 9890230/3.
2*(l - 423867)*(l - 35)/9
Determine k so that -2*k**4/7 + 998*k**3/7 - 55924*k**2/7 + 431632*k/7 - 376704/7 = 0.
1, 8, 54, 436
Factor -4*c**2/7 + 386252*c/7 - 226114744/7.
-4*(c - 95974)*(c - 589)/7
Let 4*g**2 + 3568524*g + 28547936 = 0. What is g?
-892123, -8
Suppose -6*b**4/13 + 4084*b**3/13 - 225554*b**2/13 - 6028*b + 151280/13 = 0. What is b?
-1, 2/3, 61, 620
Let -2*h**5 - 2670*h**4 + 78596*h**3 - 702672*h**2 + 1573056*h + 2356992 = 0. What is h?
-1364, -1, 6, 12
Let -5*w**3 + 17160*w**2 + 1243925*w - 1261080 = 0. What is w?
-72, 1, 3503
Find l, given that 4*l**4 - 2479072*l**3 + 512163052800*l**2 - 35273693349357568*l + 564247990002221056 = 0.
16, 206584
Let 4*k**5/5 + 362*k**4/5 + 296*k**3/5 - 418022*k**2/5 + 41712*k + 41760 = 0. Calculate k.
-60, -1/2, 1, 29
Suppose -2*u**4 + 58*u**3 + 201686*u**2 - 1413778*u + 1212036 = 0. What is u?
-307, 1, 6, 329
Suppose -g**2/7 + 27907058*g - 1362906800876887 = 0. Calculate g.
97674703
Factor -2*s**3/11 - 2088*s**2 - 25152616*s/11.
-2*s*(s + 1226)*(s + 10258)/11
Solve 2*s**4/15 - 294694*s**3/15 - 58940*s**2 - 8*s/15 + 235760/3 = 0 for s.
-2, 1, 147350
Determine l, given that 4*l**5 - 1780*l**4 + 6788*l**3 + 119284*l**2 - 481992*l - 592704 = 0.
-8, -1, 6, 7, 441
Determine n so that -2*n**2/9 - 19042*n/3 - 152208 = 0.
-28539, -24
Solve -106*b**5/17 - 4146*b**4/17 - 60888*b**3/17 - 399040*b**2/17 - 998400*b/17 - 108000/17 = 0 for b.
-10, -9, -6/53
Factor -2*d**2/7 - 24311256*d/7.
-2*d*(d + 12155628)/7
Solve -2*v**4/13 + 456*v**3/13 - 28004*v**2/13 + 400440*v/13 + 212350 = 0.
-5, 31, 65, 137
What is z in -4*z**4 - 127864*z**3 - 255712*z**2 = 0?
-31964, -2, 0
Factor n**3/3 + 4613728*n**2/3 + 5321635355653*n/3 + 10643215346642.
(n + 6)*(n + 2306861)**2/3
Solve -75*t**2 + 2144630*t - 142975 = 0.
1/15, 28595
Factor -2*q**2/11 - 96064*q/11 + 384288/11.
-2*(q - 4)*(q + 48036)/11
Determine l so that -3*l**3/8 - 213*l**2/8 - 5037*l/8 - 39675/8 = 0.
-25, -23
Determine j, given that 3*j**5/4 + 459*j**4/2 + 3237*j**3/4 - 58101*j**2/2 + 51471*j + 221970 = 0.
-302, -14, -2, 5, 7
Factor 3*f**3 + 4300161*f**2 + 1540963769280*f + 10786535678100.
3*(f + 7)*(f + 716690)**2
What is v in 2*v**3/7 - 304546*v**2/7 - 87014*v - 304550/7 = 0?
-1, 152275
Factor -2*d**2/3 + 54503402*d + 163510208/3.
-2*(d - 81755104)*(d + 1)/3
What is d in -14981*d**4/2 - 14991*d**3/2 - 5*d**2 = 0?
-1, -10/14981, 0
Suppose -w**4/5 - 12562*w**3/5 - 7536*w**2 - 37678*w/5 - 12559/5 = 0. Calculate w.
-12559, -1
What is m in 46077*m**2/5 + 737124*m/5 - 1728/5 = 0?
-16, 36/15359
What is w in 2*w**3/7 + 1106678*w**2/7 - 2213362*w/7 + 1106682/7 = 0?
-553341, 1
Factor -5*s**2/2 + 4400*s - 1935990.