, 14899
Factor -2*n**3 - 15792*n**2 - 31578*n - 15788.
-2*(n + 1)**2*(n + 7894)
Determine k so that 2*k**4 - 1126*k**3 + 3364*k**2 - 2240*k = 0.
0, 1, 2, 560
Find m, given that 4*m**3 - 128*m**2 - 357844*m - 357712 = 0.
-283, -1, 316
Factor g**4/2 + 51*g**3/2 + 669*g**2/2 + 1189*g/2 + 285.
(g + 1)**2*(g + 19)*(g + 30)/2
Solve -8*t**5/3 + 995*t**4/3 - 34804*t**3/3 + 239344*t**2/3 - 135952*t + 40368 = 0 for t.
3/8, 2, 6, 58
Factor -2*x**3/13 + 9974*x**2/13 + 180018*x/13 + 62370.
-2*(x - 5005)*(x + 9)**2/13
Solve -u**5/2 + 149*u**4/2 - 4327*u**3/2 - 90577*u**2/2 - 207788*u - 164738 = 0 for u.
-7, -1, 82
Suppose 2*u**5/9 + 410*u**4/3 + 6106*u**3/9 + 3650*u**2/9 - 2036*u/3 - 4880/9 = 0. What is u?
-610, -4, -1, 1
Factor 81*x**4/5 - 1772928*x**3/5 - 1772982*x**2/5 - 118200*x - 65667/5.
3*(x - 21889)*(3*x + 1)**3/5
Find b such that -4*b**5 - 888*b**4 - 49496*b**3 - 47728*b**2 + 49500*b + 48616 = 0.
-118, -103, -1, 1
Factor 4*o**2/7 + 5700*o/7 - 412344/7.
4*(o - 69)*(o + 1494)/7
Find h such that 4*h**3 + 308208*h**2 + 5937627072*h + 23745577216 = 0.
-38524, -4
Solve -5*v**2 + 12160*v + 134365 = 0.
-11, 2443
Factor u**2 - 1291*u/3 + 2996/3.
(u - 428)*(3*u - 7)/3
Factor -38*i**2 - 9536*i + 502.
-2*(i + 251)*(19*i - 1)
Find t, given that 4*t**3 + 84*t**2 + 416*t + 336 = 0.
-14, -6, -1
Find p such that -33*p**3 - 50742*p**2 + 375711*p + 426420 = 0.
-1545, -1, 92/11
Solve -2*t**5 - 1436*t**4/5 + 576*t**3/5 = 0.
-144, 0, 2/5
Find k such that 798*k**4 + 6128*k**3 + 3546*k**2 - 1728*k + 56 = 0.
-7, -1, 2/57, 2/7
Solve -47*l**2/2 - 14569*l/4 + 155/4 = 0.
-155, 1/94
Factor -6*w**3/11 + 13760*w**2/11 + 9176*w/11.
-2*w*(w - 2294)*(3*w + 2)/11
Factor 5*j**2 - 47095*j + 141240.
5*(j - 9416)*(j - 3)
Solve f**3/5 + 1579*f**2/5 + 58919*f/5 + 556301/5 = 0 for f.
-1541, -19
Find m, given that -2*m**5/7 - 208*m**4/7 + 6*m**3/7 + 620*m**2/7 - 416*m/7 = 0.
-104, -2, 0, 1
Solve -2*n**4/3 - 39304*n**3/3 - 196484*n**2/3 - 91688*n - 39294 = 0 for n.
-19647, -3, -1
Solve -3*d**3 + 11088*d**2 - 10223100*d - 41070000 = 0 for d.
-4, 1850
Let -4*u**3/9 + 208*u**2/3 + 12236*u + 389880 = 0. What is u?
-57, 270
Factor 2*j**2/11 - 15538*j/11 + 15536/11.
2*(j - 7768)*(j - 1)/11
Find r such that -7*r**5 - 892*r**4 - 360*r**3 + 2690*r**2 + 2927*r + 762 = 0.
-127, -1, -3/7, 2
Solve -2*m**2 + 124760*m - 1945632200 = 0 for m.
31190
Factor 3*x**2 + 384810*x.
3*x*(x + 128270)
Solve -16*t**3/3 - 11804*t**2/3 + 14776*t/3 - 2956/3 = 0.
-739, 1/4, 1
Find q, given that 2*q**3 + 410*q**2 - 3384*q + 5112 = 0.
-213, 2, 6
Suppose -u**4 - 1469*u**3 - 4398*u**2 + 4*u + 5864 = 0. Calculate u.
-1466, -2, 1
Determine z so that 49*z**3/4 + 119049*z**2/4 + 17004*z + 2429 = 0.
-2429, -2/7
Let 2*g**4 - 70*g**3 - 776*g**2 + 3880*g - 4128 = 0. Calculate g.
-12, 2, 43
What is d in 3*d**3 + 138*d**2 + 1440*d = 0?
-30, -16, 0
Solve -2*v**4/17 + 8*v**3/17 + 14*v**2/17 - 20*v/17 = 0 for v.
-2, 0, 1, 5
Factor 2*a**3 + 220*a**2 + 1234*a - 1456.
2*(a - 1)*(a + 7)*(a + 104)
Suppose 2*g**2 - 33764*g + 142500962 = 0. What is g?
8441
Determine t so that 4*t**5/3 + 316*t**4/3 + 200*t**3 - 1240*t**2/3 - 604*t/3 + 308 = 0.
-77, -3, -1, 1
What is l in 2*l**2 - 1854*l + 3700 = 0?
2, 925
What is g in 2*g**3 + 4099412*g**2 + 2100647343218*g = 0?
-1024853, 0
Determine s so that -196*s**2 + 39980*s + 816 = 0.
-1/49, 204
What is r in 25*r**4/2 - 104155*r**3/2 - 563793*r**2 - 426034*r - 83540 = 0?
-10, -2/5, 4177
Determine a so that -a**5/6 + 1943*a**4/6 - 210272*a**3 + 137917124*a**2/3 - 670209496*a/3 - 269586136 = 0.
-1, 6, 646
Factor -3*i**2/5 + 129*i + 32382/5.
-3*(i - 257)*(i + 42)/5
Factor -2*r**3 + 1140044*r**2 - 2280082*r + 1140040.
-2*(r - 570020)*(r - 1)**2
Suppose 2*o**4/5 - 8482*o**3/5 - 25484*o**2/5 + 16976*o = 0. Calculate o.
-5, 0, 2, 4244
Factor 2*z**2 - 1198*z/7 + 24984/7.
2*(z - 36)*(7*z - 347)/7
Let -2*r**2/7 + 292244*r - 74730736094 = 0. What is r?
511427
Factor 4*b**2 + 380*b + 1800.
4*(b + 5)*(b + 90)
Determine k so that -5*k**4 - 1475*k**3 - 23540*k**2 + 25020*k = 0.
-278, -18, 0, 1
Determine x, given that -21*x**3 + 9032619*x**2 + 2580750*x = 0.
-2/7, 0, 430125
Let 2*b**5/19 - 278*b**4/19 + 4274*b**3/19 - 15210*b**2/19 - 19764*b/19 = 0. Calculate b.
-1, 0, 9, 122
Find q, given that 3*q**4 + 627*q**3 + 41985*q**2 + 916725*q + 3034500 = 0.
-85, -35, -4
Solve -2*q**4/19 - 186*q**3/19 + 1590*q**2/19 - 2614*q/19 + 1212/19 = 0.
-101, 1, 6
Factor 4*r**5 - 35004*r**4 + 69996*r**3 - 34996*r**2.
4*r**2*(r - 8749)*(r - 1)**2
Factor -j**3 + 428*j**2 + 59071*j + 58642.
-(j - 538)*(j + 1)*(j + 109)
Factor 9*j**2/10 - 943*j - 1048/5.
(j - 1048)*(9*j + 2)/10
Suppose -q**3/5 - 10358*q**2/5 - 26832396*q/5 - 53623368/5 = 0. Calculate q.
-5178, -2
Solve -4*w**3 - 15581*w**2 + 42898*w + 77960 = 0 for w.
-3898, -5/4, 4
Let -j**3 - 164*j**2 + 340*j + 1328 = 0. Calculate j.
-166, -2, 4
What is r in 7*r**2/2 + 3924629*r/2 + 560661 = 0?
-560661, -2/7
Factor 2*z**3 + 4780*z**2 + 2856050*z.
2*z*(z + 1195)**2
What is t in 3*t**5 - 255*t**3 - 480*t**2 + 252*t + 480 = 0?
-8, -2, -1, 1, 10
Determine i, given that -2*i**5/3 + 956*i**4/3 - 105134*i**3/3 - 740916*i**2 + 315456*i + 6642432 = 0.
-18, -3, 3, 248
Suppose 2*o**5/7 - 1362*o**4/7 + 24030*o**3/7 - 107406*o**2/7 = 0. Calculate o.
0, 9, 663
Factor y**2/2 + 225*y - 1832.
(y - 8)*(y + 458)/2
Factor 2*z**4/9 + 57742*z**3/9 + 57730*z**2 + 173178*z + 173172.
2*(z + 3)**3*(z + 28862)/9
Solve -p**2/3 - 19499*p - 116990/3 = 0 for p.
-58495, -2
Determine d so that 3*d**5 + 7059*d**4 - 14133*d**3 - 7059*d**2 + 14130*d = 0.
-2355, -1, 0, 1, 2
Factor -x**3/5 + 222*x**2 - 63765*x + 1188100.
-(x - 545)**2*(x - 20)/5
Determine f so that -f**4/3 + 3031*f**3/3 - 9074*f**2 + 72544*f/3 - 48352/3 = 0.
1, 4, 3022
Determine f so that f**3/8 + 55*f**2/8 + 107*f/8 + 53/8 = 0.
-53, -1
Find p such that -2*p**4/5 - 48*p**3/5 + 882*p**2/5 - 592*p = 0.
-37, 0, 5, 8
Factor 2*i**5 - 9518*i**4 + 11319280*i**3 + 11328800*i**2.
2*i**2*(i - 2380)**2*(i + 1)
Let -2*f**3/7 + 292*f**2/7 - 278*f/7 - 1740/7 = 0. What is f?
-2, 3, 145
Factor 3*a**3 - 104268*a**2 + 906088911*a - 1811760774.
3*(a - 17377)**2*(a - 2)
Find t, given that 7*t**5/9 - 5290*t**4/9 - 38843*t**3/9 - 53506*t**2/9 + 73216*t/9 + 24416/9 = 0.
-4, -2/7, 1, 763
Find g such that -4*g**4 - 224*g**3 + 8184*g**2 + 460224*g - 468180 = 0.
-51, 1, 45
Solve -2*l**4 + 462*l**3 + 24524*l**2 + 268224*l - 638208 = 0.
-24, 2, 277
Solve -2*q**2 - 9766*q + 29316 = 0 for q.
-4886, 3
Find z, given that -3*z**3 - 1914*z**2 = 0.
-638, 0
Factor -g**3 - 30*g**2 + 799*g.
-g*(g - 17)*(g + 47)
Suppose -25*i**4 - 399985*i**3 + 1040160*i**2 + 480060*i = 0. Calculate i.
-16002, -2/5, 0, 3
Let k**4/4 + 753*k**3/4 + 142877*k**2/4 + 423375*k/4 + 140625/2 = 0. Calculate k.
-375, -2, -1
Determine s, given that 2*s**3/3 - 1602*s**2 - 4808*s/3 = 0.
-1, 0, 2404
Solve -12*z**5 + 3652*z**4 - 101972*z**3 - 185060*z**2 + 139248*z + 144144 = 0 for z.
-2, -2/3, 1, 33, 273
Find x, given that x**5 + 27*x**4 - 1831*x**3 - 1883*x**2 + 1830*x + 1856 = 0.
-58, -1, 1, 32
Factor -27*s**5 + 114*s**4 - 24*s**3.
-3*s**3*(s - 4)*(9*s - 2)
Solve 4*b**4 + 1528*b**3 + 156228*b**2 + 1968064*b + 6635776 = 0 for b.
-184, -7
Find d such that 4463055*d**4 + 26639340*d**3 - 839060*d**2 - 30560*d + 960 = 0.
-6, -2/59, 4/123
Factor 2*r**4 - 2868*r**3 + 1048058*r**2 - 14253960*r + 49401800.
2*(r - 710)**2*(r - 7)**2
Find g, given that 3*g**4 - 3177*g**3 + 836331*g**2 + 2531277*g + 1691766 = 0.
-2, -1, 531
Factor 4*t**2/7 + 8745568*t/7 + 4780309977664/7.
4*(t + 1093196)**2/7
Solve h**5 - 871*h**4/6 + 143*h**3/6 + 145*h**2/3 = 0 for h.
-1/2, 0, 2/3, 145
What is r in 4*r**3/7 + 244*r**2/7 + 2076*r/7 + 1836/7 = 0?
-51, -9, -1
Factor -n**2/2 + 323*n + 647/2.
-(n - 647)*(n + 1)/2
Find w such that 4*w**5 - 6848*w**4 + 2964792*w**3 - 28811504*w**2 - 66544796*w - 34761648 = 0.
-1, 12, 851
Factor l**2/3 + 7118*l.
l*(l + 21354)/3
Determine p, given that -5*p**4 + 600*p**3 + 50760*p**2 - 669600*p + 2067120 = 0.
-66, 6, 174
Find t such that -3*t**2 + 4971*t + 1391532 = 0.
-244, 1901
Solve -3*o**3 + 13224*o**2 - 13203*o - 79326 = 0 for o.
-2, 3, 4407
Factor -2*z**2/21 + 6464*z/21 - 69410/3.
-2*(z - 3155)*(z - 77)/21
Solve -4*r**5 + 276*r**4 - 1208*r**3 - 4688*r**2 + 4896*r + 14336 = 0 for r.
-2, 2, 7, 64
Factor -4*f**2 - 683960*f - 292