453005*g**2 - 14195160*g - 111203280.
-5*(301*g + 4716)**2
Suppose -3*g**5/2 + 89991*g**4/4 - 337274973*g**3/4 - 1181430003*g**2/4 - 506385009*g/4 = 0. Calculate g.
-3, -1/2, 0, 7501
Find c, given that 5088*c**2/7 - 203538*c/7 + 720/7 = 0.
3/848, 40
Let -2*j**5/11 + 292*j**4/11 - 10524*j**3/11 - 872*j**2/11 + 31006*j/11 + 21060/11 = 0. What is j?
-1, 2, 65, 81
Factor u**2/4 + 225841*u/4.
u*(u + 225841)/4
Factor -6*k**2/11 + 3043968*k/11.
-6*k*(k - 507328)/11
Find d such that -3*d**4 - 271*d**3 + 189*d**2 + 639*d + 182 = 0.
-91, -1, -1/3, 2
Suppose 4*z**5 + 243*z**4 + 635*z**3 - 190*z**2 - 924*z + 232 = 0. What is z?
-58, -2, 1/4, 1
Factor -s**3/5 + 15972*s**2/5 - 63728253*s/5 - 382944726/5.
-(s - 7989)**2*(s + 6)/5
Factor -g**2/3 + 1576*g/3 - 71863/3.
-(g - 1529)*(g - 47)/3
Find b, given that 4*b**5 - 16*b**4 - 300*b**3 - 936*b**2 - 864*b = 0.
-3, -2, 0, 12
Suppose c**3/4 + 3765*c**2/4 - 37725*c/4 + 94375/4 = 0. What is c?
-3775, 5
Factor n**3 + 572*n**2 + 80675*n + 80104.
(n + 1)*(n + 248)*(n + 323)
Factor 4*l**3 + 7764*l**2 + 3747996*l - 18934580.
4*(l - 5)*(l + 973)**2
Solve -32*x**2 - 404*x - 572 = 0.
-11, -13/8
Factor p**3/5 - 67*p**2 + 12598*p/5 - 12264/5.
(p - 292)*(p - 42)*(p - 1)/5
Factor 2*l**3/7 + 102710*l**2/7 + 1318719366*l/7 + 1318616658/7.
2*(l + 1)*(l + 25677)**2/7
Suppose 4*w**3 + 252*w**2 - 7144*w - 7392 = 0. Calculate w.
-84, -1, 22
Suppose 5788318561*w**5 - 28940984157*w**4/2 + 11575876316*w**3 - 5787101285*w**2/2 - 152154*w - 2 = 0. Calculate w.
-2/76081, 1/2, 1
Factor -272*u**2 + 1033324*u + 15196.
-4*(u - 3799)*(68*u + 1)
Factor -4*i**5 + 372*i**4 - 728*i**3.
-4*i**3*(i - 91)*(i - 2)
Factor -s**3 + 16893*s**2 + 67584*s + 67588.
-(s - 16897)*(s + 2)**2
Factor 2*d**3 + 1370*d**2 + 248336*d + 4629408.
2*(d + 21)*(d + 332)**2
Let -32*r**2/7 - 102*r/7 - 18/7 = 0. Calculate r.
-3, -3/16
Factor -5*f**3 - 80395*f**2 - 241090*f + 803800.
-5*(f - 2)*(f + 5)*(f + 16076)
Factor 2*u**2/5 + 12418*u/5 + 12416/5.
2*(u + 1)*(u + 6208)/5
Factor 9*a**2 - 6742515*a - 4495014.
3*(a - 749169)*(3*a + 2)
Factor -4*w**2 + 218352*w + 1965492.
-4*(w - 54597)*(w + 9)
Factor 2*w**4 - 115936*w**3 + 1678984752*w**2 + 33614483840*w + 168130407200.
2*(w - 28994)**2*(w + 10)**2
What is m in 9*m**4 - 17469*m**3/2 - 61337*m**2/2 - 12178*m + 2922 = 0?
-3, -2/3, 1/6, 974
Factor -x**2/3 - 829*x + 9964/3.
-(x - 4)*(x + 2491)/3
Suppose -5*n**5 + 5530*n**4 - 1529045*n**3 = 0. What is n?
0, 553
Solve -s**3/2 + 3274*s**2 - 13089*s/2 - 9819 = 0 for s.
-1, 3, 6546
Let -28*u**5 + 328*u**4 - 492*u**3 - 2912*u**2 - 784*u = 0. What is u?
-2, -2/7, 0, 7
Suppose 4*b**4 - 31960*b**3 - 95908*b**2 - 63944*b = 0. What is b?
-2, -1, 0, 7993
Factor -4*f**2 + 5640*f + 22624.
-4*(f - 1414)*(f + 4)
Determine r, given that -3*r**3/5 - 42021*r**2/5 + 84054*r/5 = 0.
-14009, 0, 2
Solve -t**2/3 - 298*t/3 + 2135/3 = 0 for t.
-305, 7
Determine g so that -g**2 + 397*g - 36210 = 0.
142, 255
Let n**3/3 - 1330*n**2/3 + 146964*n + 295704 = 0. What is n?
-2, 666
Suppose -8*b**5/11 + 262*b**4/11 - 2062*b**3/11 + 3692*b**2/11 + 96*b = 0. Calculate b.
-1/4, 0, 3, 8, 22
Solve 3*o**3/4 + 12879*o**2/4 + 3219*o = 0 for o.
-4292, -1, 0
Factor -o**4/3 - 9635*o**3 + 28907*o**2 - 86723*o/3 + 9636.
-(o - 1)**3*(o + 28908)/3
Find f, given that 2*f**5/3 - 262*f**4/9 - 370*f**3/9 + 446*f**2/9 + 20*f = 0.
-2, -1/3, 0, 1, 45
Let -o**5/10 + 601*o**4/10 - 1193*o**3/10 - 3001*o**2/10 + 1797*o/5 = 0. Calculate o.
-2, 0, 1, 3, 599
Factor 60*t**2 - 136924*t + 145984.
4*(t - 2281)*(15*t - 16)
Suppose -4*a**2/7 - 14192*a/7 + 85296/7 = 0. What is a?
-3554, 6
Determine g so that -4*g**2 - 435224*g + 870464 = 0.
-108808, 2
Find t such that 842*t**2/5 - 5024*t/15 - 56/15 = 0.
-14/1263, 2
Factor v**3/4 + 39*v**2/2 + 425*v/4 - 126.
(v - 1)*(v + 7)*(v + 72)/4
Factor -2*y**2/7 + 624*y - 47806/7.
-2*(y - 2173)*(y - 11)/7
Determine b so that -b**5/3 + 85780*b**4/3 - 28593*b**3 = 0.
0, 1, 85779
Solve 4*r**4 + 120*r**3 - 2428*r**2 + 11856*r - 17280 = 0.
-45, 3, 4, 8
Factor 2*w**3 + 3596*w**2 - 3610*w - 21588.
2*(w - 3)*(w + 2)*(w + 1799)
Solve -9*t**4/2 - 1545*t**3/4 + 870*t**2 + 4215*t/4 - 198 = 0 for t.
-88, -1, 1/6, 3
Suppose -q**4/5 + 111*q**3/5 - 2037*q**2/5 - 4411*q/5 - 2262/5 = 0. Calculate q.
-1, 26, 87
Factor -u**2/4 + 3721*u/2 + 156723/4.
-(u - 7463)*(u + 21)/4
Factor -x**4/9 + 17470*x**3/9 - 25439231*x**2/3 + 152582980*x/9 - 76282756/9.
-(x - 8734)**2*(x - 1)**2/9
Factor 2*c**2/13 - 254*c/13 - 5140.
2*(c - 257)*(c + 130)/13
Solve 2*d**4/5 + 38*d**3/5 - 402*d**2/5 + 162*d = 0.
-27, 0, 3, 5
Find f, given that -36*f**4 + 219*f**3 + 234*f**2 - 21*f = 0.
-1, 0, 1/12, 7
Factor -u**4 + 65*u**3 - 1129*u**2 + 1767*u + 17298.
-(u - 31)**2*(u - 6)*(u + 3)
Factor -2*w**2/3 + 370*w/3 + 376.
-2*(w - 188)*(w + 3)/3
Let 2*r**2/3 - 1102*r/3 + 3960 = 0. What is r?
11, 540
Factor 2*a**4 - 36*a**3 - 134*a**2 + 168*a.
2*a*(a - 21)*(a - 1)*(a + 4)
Determine j so that -55*j**3 + 12860*j**2 + 838945*j + 152110 = 0.
-53, -2/11, 287
Suppose u**2 + 33371*u + 433654 = 0. Calculate u.
-33358, -13
Factor 5*z**4 - 135*z**3 + 130*z**2 + 3000*z.
5*z*(z - 25)*(z - 6)*(z + 4)
Solve -5*k**4 + 90*k**3 + 795*k**2 - 1840*k + 960 = 0.
-8, 1, 24
Factor -5*m**2 + 650780*m - 21175730420.
-5*(m - 65078)**2
Factor -3*q**2 - 69834*q - 406398963.
-3*(q + 11639)**2
Let 15*m**5 - 531*m**4 + 5865*m**3 - 19017*m**2 - 16248*m + 9180 = 0. What is m?
-1, 2/5, 9, 10, 17
Factor 2*d**3 + 688*d**2 - 91878*d + 91188.
2*(d - 102)*(d - 1)*(d + 447)
Let 3*w**2 - 3333*w = 0. Calculate w.
0, 1111
Suppose 18*s**2 - 5573812*s + 1238624 = 0. What is s?
2/9, 309656
Suppose -l**4/3 - 2839*l**3/3 - 2022065*l**2/3 - 10056449*l/3 - 4015778 = 0. What is l?
-1417, -3, -2
Find y, given that -2*y**4/9 - 526*y**3/9 + 12536*y**2/3 - 68920*y + 64800 = 0.
-324, 1, 30
Factor -3*j**5/8 + 2463*j**4 + 118359*j**3/4 + 266409*j**2/2 + 2131677*j/8 + 399735/2.
-3*(j - 6580)*(j + 3)**4/8
Factor 5*r**3 + 1130*r**2 + 80960*r + 1777440.
5*(r + 42)*(r + 92)**2
Factor -2*m**2 + 224*m + 16626.
-2*(m - 163)*(m + 51)
Suppose -g**4/6 - 781*g**3/6 - 130*g**2 = 0. What is g?
-780, -1, 0
Determine g so that -2*g**5/13 - 188*g**4/13 - 3310*g**3/13 - 1396*g**2 - 24528*g/13 = 0.
-73, -12, -7, -2, 0
Determine v so that -3*v**5/5 + 306*v**4/5 + 18399*v**3/5 - 117498*v**2/5 + 239652*v/5 - 161304/5 = 0.
-47, 2, 143
Factor 2*m**3 + 446*m**2 + 3048*m + 5184.
2*(m + 3)*(m + 4)*(m + 216)
Solve 2*u**2/7 + 53542*u/7 - 160644/7 = 0.
-26774, 3
Factor 3*r**2/2 - 16661*r/2 - 19446.
(r - 5556)*(3*r + 7)/2
Suppose 2*s**4/9 - 16*s**3/3 - 70*s**2/3 + 2936*s/9 - 520 = 0. What is s?
-9, 2, 5, 26
Factor -192*x**2 + 1149*x + 18.
-3*(x - 6)*(64*x + 1)
Let -m**3 - 874911*m**2 - 191366877024*m + 191367751936 = 0. Calculate m.
-437456, 1
Solve m**5/4 - 1417*m**4/2 - 25563*m**3/4 - 17053*m**2 - 14215*m = 0 for m.
-5, -2, 0, 2843
Factor 5*s**2 + 74565*s.
5*s*(s + 14913)
Factor -24*n**2 + 203348*n + 33892.
-4*(n - 8473)*(6*n + 1)
Factor -2*m**5/13 - 168*m**4/13 - 348*m**3 - 3848*m**2 - 15210*m.
-2*m*(m + 13)**3*(m + 45)/13
Suppose -4*n**2/5 + 2476*n/5 - 83952/5 = 0. What is n?
36, 583
What is d in 513*d**4 + 6216*d**3 + 720*d**2 = 0?
-12, -20/171, 0
Let -4*v**2 - 2862544*v - 512134884496 = 0. Calculate v.
-357818
Factor 3*v**2 - 9441*v - 18894.
3*(v - 3149)*(v + 2)
Solve -3*s**4 - 510*s**3 - 14328*s**2 - 103938*s + 118779 = 0 for s.
-137, -17, 1
What is d in -d**5/8 - 9109*d**4/4 - 110571057*d**3/8 - 55801259437*d**2/2 + 280265911226*d - 252351457848 = 0?
-6076, 1, 9
Let -12*t**5 - 10876*t**4 + 50972*t**3 - 40148*t**2 - 58256*t + 43728 = 0. What is t?
-911, -1, 2/3, 2, 3
Determine l so that 2*l**4/11 + 11204*l**3/11 + 15657504*l**2/11 - 94528448*l/11 - 251597312/11 = 0.
-2804, -2, 8
Factor 5*g**2 + 3500*g + 234375.
5*(g + 75)*(g + 625)
Factor -4*i**5 + 251360*i**4 - 5265070344*i**3 + 36758965950784*i**2 + 36764231272492*i.
-4*i*(i - 20947)**3*(i + 1)
Find s such that 2*s**4/17 + 37106*s**3/17 + 556290*s**2/17 + 2780950*s/17 + 4634500/17 = 0.
-18538, -5
Solve 4*o**4 + 756*o**3 + 10844*o**2 - 39444*o = 0 for o.
-173, -19, 0, 3
Let -53138*k**3 - 7172*k**2 - 242*k = 0. Calculate k.
-11/163, 0
Determine d, given that -2*d**5/7 + 12818*d**4/7 + 244036*d**3/7 + 1465136*d**2/7 + 2879488*d/7 + 1645568/7 = 0.
-8, -2, -1, 6428
Factor -3*c**2/4 - 29163*c/4