203)/7
Find j such that j**2/2 - 118890*j + 237778 = 0.
2, 237778
Factor 2*b**2 - 172730*b + 345452.
2*(b - 86363)*(b - 2)
Suppose -q**4/4 - 10521*q**3/4 + 94743*q**2/4 - 284283*q/4 + 142155/2 = 0. Calculate q.
-10530, 3
Determine w, given that -3*w**3/2 + 12525*w**2 + 25059*w/2 - 25053 = 0.
-2, 1, 8351
Factor 5*b**2 + 3105*b - 3110.
5*(b - 1)*(b + 622)
Suppose -5*h**3/4 + 916385*h**2/4 - 10497132900*h + 10496903805 = 0. What is h?
1, 91638
Solve -3*y**2/7 + 1242036*y/7 - 128554452108/7 = 0.
207006
Suppose -2*k**3/9 - 10936*k**2/9 - 152810*k/9 - 59388 = 0. What is k?
-5454, -7
Factor -9*a**3 + 13155*a**2 - 8766*a.
-3*a*(a - 1461)*(3*a - 2)
Factor 4*t**2 + 440*t - 11004.
4*(t - 21)*(t + 131)
Factor -y**2/2 - 289*y - 1716.
-(y + 6)*(y + 572)/2
Determine i, given that 5*i**5 + 2920*i**4 - 26735*i**3 - 29650*i**2 = 0.
-593, -1, 0, 10
Factor 2*a**5 - 42*a**4 - 12*a**3 + 268*a**2 - 342*a + 126.
2*(a - 21)*(a - 1)**3*(a + 3)
Factor -21*u**3 + 996*u**2 - 261*u - 7614.
-3*(u - 47)*(u - 3)*(7*u + 18)
Solve -21*p**3 - 44355*p**2 - 23424192*p - 3345408 = 0.
-1056, -1/7
Let 4*r**4 - 3148*r**3 - 16*r**2 + 12592*r = 0. Calculate r.
-2, 0, 2, 787
Let -3*g**4/8 + 3549*g**3/8 + 28617*g**2/8 - 39249*g/8 - 32157/4 = 0. What is g?
-9, -1, 2, 1191
What is k in -3*k**3/4 + 270*k**2 + 2793*k - 6660 = 0?
-12, 2, 370
Factor -2*a**5/9 - 1924*a**4/3 - 1393928*a**3/3 - 24952336*a**2/9 - 5534720*a - 3686400.
-2*(a + 2)**3*(a + 1440)**2/9
Let 19*g**3/2 + 104*g**2 - 487*g/2 + 130 = 0. What is g?
-13, 1, 20/19
Factor 2*g**3/11 + 74*g**2/11 - 7154*g/11 - 292922/11.
2*(g - 61)*(g + 49)**2/11
Solve -t**4 + 185*t**3 - 2877*t**2/4 - 1717*t/2 - 905/4 = 0 for t.
-1/2, 5, 181
Factor -2*z**2/13 - 1000*z/13 + 9162/13.
-2*(z - 9)*(z + 509)/13
Determine h so that -4*h**5 + 11008*h**4 - 7518016*h**3 - 76695320*h**2 + 282547076*h - 198344744 = 0.
-13, 1, 2, 1381
Factor 9512*r**3 + 57060*r**2 + 85536*r - 108.
4*(r + 3)**2*(2378*r - 3)
Factor 3*w**4/7 - 3*w**3/7 - 36*w**2/7 - 12*w/7 + 48/7.
3*(w - 4)*(w - 1)*(w + 2)**2/7
Factor d**3 + 92131*d**2 - d - 92131.
(d - 1)*(d + 1)*(d + 92131)
What is c in -2*c**3 - 1146*c**2 + 3456*c = 0?
-576, 0, 3
Factor -r**3/5 - 114*r**2 + 38223*r/5 - 607352/5.
-(r - 31)**2*(r + 632)/5
Factor -3570*v**2 + 3573*v - 3.
-3*(v - 1)*(1190*v - 1)
Suppose -4*n**3/5 - 4543*n**2/5 - 3404*n/5 + 227 = 0. What is n?
-1135, -1, 1/4
Find n, given that 5*n**3 + 616*n**2/3 + 4628*n/3 + 2944 = 0.
-32, -6, -46/15
Let o**3 + 17*o**2 + 95*o + 175 = 0. What is o?
-7, -5
Solve -u**4/3 - 94*u**3/3 - 1184*u**2/3 + 94*u/3 + 395 = 0 for u.
-79, -15, -1, 1
Factor -k**3 + 228*k**2 - 2837*k + 9030.
-(k - 215)*(k - 7)*(k - 6)
Find o such that -2*o**2/9 + 140120*o/3 - 2454201800 = 0.
105090
Factor -230*f**3 - 21405*f**2 + 20225*f + 1410.
-5*(f - 1)*(f + 94)*(46*f + 3)
What is a in -1666*a**2/3 + 649*a/3 + 92/3 = 0?
-92/833, 1/2
Let 5*m**2 - 2115*m - 362870 = 0. Calculate m.
-131, 554
Factor -f**2/4 + 10165*f/2 - 103327225/4.
-(f - 10165)**2/4
Determine b, given that 5*b**5 + 1575*b**4 + 130710*b**3 + 1021330*b**2 - 2441115*b + 1287495 = 0.
-153, -11, 1
Solve -194672*x**5/7 - 55079480*x**4/7 - 51304812*x**3/7 + 3502166*x**2/7 - 11038*x + 564/7 = 0.
-282, -1, 1/46
Determine x, given that 27*x**5/5 + 459*x**4/5 - 2124*x**3/5 + 2944*x**2/5 - 1664*x/5 + 336/5 = 0.
-21, 2/3, 2
Determine w, given that w**2/3 - 28918*w/3 + 9639 = 0.
1, 28917
Solve -2*s**4 + 1598*s**3 + 4808*s**2 + 3208*s = 0.
-2, -1, 0, 802
Determine l, given that -5043*l**3 - 222876*l**2 - 43344*l - 2112 = 0.
-44, -4/41
Let 134*t**5/11 + 112558*t**4/11 + 23409728*t**3/11 - 95350064*t**2/11 + 96870944*t/11 - 1424672/11 = 0. What is t?
-422, 1/67, 2
Suppose -u**5 + 312*u**4 + 5185*u**3 - 5599032*u**2 - 5184*u + 5598720 = 0. What is u?
-120, -1, 1, 216
Factor -u**2/5 - 14*u - 1224/5.
-(u + 34)*(u + 36)/5
What is a in 3*a**2/4 + 23457*a/4 + 11727/2 = 0?
-7818, -1
Let r**5 + 158*r**4/3 - 1079*r**3/3 + 814*r**2 - 2116*r/3 + 472/3 = 0. Calculate r.
-59, 1/3, 2
Solve 5*o**4 + 3539*o**3 + 834732*o**2 + 65554192*o - 13144256 = 0.
-236, 1/5
Factor 320*t**4 - 1687920*t**3 + 2226471885*t**2 - 1669141890*t + 312919605.
5*(t - 2637)**2*(8*t - 3)**2
Factor -4*k**3 - 496*k**2 - 10752*k.
-4*k*(k + 28)*(k + 96)
Factor -b**3/4 + 17*b**2/4 + 2890*b - 137564.
-(b - 68)**2*(b + 119)/4
Find f such that 3*f**3 - 249*f**2 + 3114*f + 16632 = 0.
-4, 21, 66
Solve -16428*z**2 + 438228*z - 2922507 = 0.
987/74
Let 6*v**5/5 - 1124*v**4/5 - 9136*v**3/15 + 992*v**2/5 + 4064*v/5 - 1216/3 = 0. Calculate v.
-2, 2/3, 190
Factor 5*t**2 + 573150*t + 573145.
5*(t + 1)*(t + 114629)
Let -2*l**2 - 436*l + 2688 = 0. What is l?
-224, 6
Let 2*h**5/21 + 230*h**4/21 - 5746*h**3/21 + 37970*h**2/21 - 90448*h/21 + 71240/21 = 0. Calculate h.
-137, 2, 5, 13
Determine o so that o**3/12 - 61*o**2/3 + 8119*o/12 + 697 = 0.
-1, 41, 204
Factor 5*r**2 - 61380*r + 188375220.
5*(r - 6138)**2
Solve -o**3/2 - 233*o**2/2 + 359*o + 1180 = 0.
-236, -2, 5
Factor -k**2/4 + 1231*k/4 - 5499/2.
-(k - 1222)*(k - 9)/4
Suppose -w**4 - 118*w**3 - 1125*w**2 + 180144*w + 1632960 = 0. What is w?
-72, -9, 35
Factor 3*y**3 + 30012*y**2 - 300420*y.
3*y*(y - 10)*(y + 10014)
Find l such that 5*l**3/6 - 286475*l**2/6 + 1367846505*l/2 - 1367751015/2 = 0.
1, 28647
Factor 2*r**2/9 + 2866*r - 25796/9.
2*(r - 1)*(r + 12898)/9
Let -2*m**3/5 + 326*m**2/5 + 32*m/5 - 5216/5 = 0. Calculate m.
-4, 4, 163
Let -87953*t**4/3 + 351814*t**3/3 - 351820*t**2/3 + 8*t/3 = 0. What is t?
0, 2/87953, 2
Suppose -5*s**2 - 1055*s - 7140 = 0. What is s?
-204, -7
Solve 5*r**3 + 12960*r**2 + 64695*r + 51740 = 0.
-2587, -4, -1
Factor 5*h**5 + 60*h**4 + 40*h**3 - 190*h**2 - 285*h - 110.
5*(h - 2)*(h + 1)**3*(h + 11)
Factor -5*z**2 - 1656910*z - 1656905.
-5*(z + 1)*(z + 331381)
Factor 3*l**2 - 79656*l + 528756528.
3*(l - 13276)**2
Determine m, given that -m**3/7 + 172*m**2/7 - 509*m/7 + 338/7 = 0.
1, 2, 169
Factor 2*h**4 + 28*h**3 - 3674*h**2 - 3700*h.
2*h*(h - 37)*(h + 1)*(h + 50)
Let w**3 - 131*w**2 + 4636*w - 23316 = 0. What is w?
6, 58, 67
Factor 40*o**3/7 + 106*o**2/7 + 52*o/7.
2*o*(o + 2)*(20*o + 13)/7
Factor c**3 + 1761*c**2 - 5302*c - 17640.
(c - 5)*(c + 2)*(c + 1764)
Factor 2*i**3/5 + 39838*i**2/5 + 39664702*i - 595329126/5.
2*(i - 3)*(i + 9961)**2/5
Solve 24*k**3 + 460*k**2 + 1896*k = 0.
-79/6, -6, 0
Find i, given that -i**5 - 314*i**4 - 24960*i**3 - 48672*i**2 = 0.
-156, -2, 0
What is x in -2*x**2/21 - 47044*x/21 - 276642242/21 = 0?
-11761
Suppose f**3/3 + 3738*f**2 + 10475744*f - 62899328/3 = 0. Calculate f.
-5608, 2
Factor 2*c**3/21 - 1262*c**2 + 29269250*c/7 - 87781250/21.
2*(c - 6625)**2*(c - 1)/21
Suppose -18*m**3/11 - 9146*m**2/11 - 37204*m/11 + 46368/11 = 0. Calculate m.
-504, -46/9, 1
Let 3*n**4/4 - 99*n**3/4 + 765*n**2/4 + 867*n/4 = 0. What is n?
-1, 0, 17
Factor -2*p**2/13 + 4096*p/13 + 74376/13.
-2*(p - 2066)*(p + 18)/13
Factor 3*w**2 - 1062*w - 2136.
3*(w - 356)*(w + 2)
Factor 5*t**2 + 5540*t - 44640.
5*(t - 8)*(t + 1116)
Suppose 2*k**3/5 + 17008*k**2/5 + 7235202*k + 72284004/5 = 0. What is k?
-4251, -2
Suppose -k**4/2 + 10527*k**3 + 31584*k**2 + 31585*k + 21057/2 = 0. What is k?
-1, 21057
Suppose u**3 + 12967*u**2 + 42029288*u - 42042256 = 0. Calculate u.
-6484, 1
Factor -3*q**2 - 18558*q - 74184.
-3*(q + 4)*(q + 6182)
Let 5*t**2 + 3700*t + 25655 = 0. Calculate t.
-733, -7
Factor 5*s**3 + 530*s**2 + 2525*s.
5*s*(s + 5)*(s + 101)
Determine l so that -4*l**5 + 76*l**4 + 588*l**3 - 14940*l**2 + 37800*l = 0.
-14, 0, 3, 15
Suppose -225*x**3 - 867*x**2 + 1218*x - 360 = 0. Calculate x.
-5, 12/25, 2/3
Factor -3*j**3 - 14517*j**2 + 72660*j.
-3*j*(j - 5)*(j + 4844)
Let 3*b**3 + 2511*b**2 + 587673*b + 25225365 = 0. What is b?
-391, -55
Factor -5*f**2 - 35295*f - 70570.
-5*(f + 2)*(f + 7057)
Factor -2*w**2/3 + 91004*w/3 - 1035216002/3.
-2*(w - 22751)**2/3
Determine y, given that 7*y**3/4 - 774*y**2 + 3971*y/4 - 441/2 = 0.
2/7, 1, 441
Factor b**4/11 + 665*b**3/11 + 151575*b**2/11 + 1155625*b + 198767500/11.
(b + 20)*(b + 215)**3/11
What is c in 2*c**4 + 241099*c**3 + 7266271794*c**2 + 10898624132*c - 7265910152 = 0?
-60274, -2, 1/2
Let -5*y**5 - 240*y**4 + 16195*y**3 + 818130*y**2 + 1518400*y - 2352480 = 0. Calculate y.
-52, -3, 1, 58
Solve f**4/3 - 20*f**3/3 - 181*f**2 + 598*f/3 + 1120/3 = 0.
-16, -1, 2, 35
What is s in 32541*s**2 