
Factor -i**4/6 + 5*i**3/3 - 4*i**2/3 - 5*i/3 + 3/2.
-(i - 9)*(i - 1)**2*(i + 1)/6
Solve -2*v**3 - 5036*v**2/5 - 17984*v/5 + 1600 = 0 for v.
-500, -4, 2/5
Factor 2*u**3/5 - 1144*u**2 + 812210*u + 8236900.
2*(u - 1435)**2*(u + 10)/5
Factor 4*n**4 + 704*n**3 + 25656*n**2 - 468160*n + 1768900.
4*(n - 7)**2*(n + 95)**2
Factor -n**2 - 10360*n - 26832400.
-(n + 5180)**2
Let 3*o**4/4 - 1435*o**3/4 + 85543*o**2/4 - 192773*o/4 + 27403/2 = 0. What is o?
1/3, 2, 67, 409
Factor 2*x**4 - 36*x**3 - 590*x**2 - 1464*x + 2088.
2*(x - 29)*(x - 1)*(x + 6)**2
Determine c, given that -4*c**3 - 148153*c**2 - 37038*c = 0.
-37038, -1/4, 0
Solve 2*n**3 - 1332*n**2 + 70410*n + 71744 = 0.
-1, 59, 608
Find n such that -2*n**5/11 + 76*n**4 - 86518*n**3/11 - 177236*n**2/11 + 86520*n/11 + 176400/11 = 0.
-2, -1, 1, 210
What is z in 4*z**4 - 728*z**3 + 18724*z**2 = 0?
0, 31, 151
Solve -w**5 - 14*w**4 + 20*w**3 + 78*w**2 + 45*w = 0 for w.
-15, -1, 0, 3
Solve 21*k**4/4 - 450*k**3 - 4191*k**2/4 - 1449*k/2 - 132 = 0.
-1, -2/7, 88
Factor 5*a**5 + 2625*a**4 + 10450*a**3 + 15650*a**2 + 10425*a + 2605.
5*(a + 1)**4*(a + 521)
Factor p**2 - 376906*p + 35514533209.
(p - 188453)**2
Factor -3*p**3 + 1806*p**2 + 1319805*p - 798172488.
-3*(p - 633)**2*(p + 664)
Solve 2*x**5 - 240*x**4 + 2398*x**3 = 0 for x.
0, 11, 109
Factor w**5 - 204*w**4 + 605*w**3 - 402*w**2.
w**2*(w - 201)*(w - 2)*(w - 1)
Factor -5*x**4/2 - 103015*x**3/2 - 309015*x**2/2 - 309005*x/2 - 51500.
-5*(x + 1)**3*(x + 20600)/2
Determine a so that -5*a**5 - 260*a**4 - 2770*a**3 - 9340*a**2 - 6825*a = 0.
-39, -7, -5, -1, 0
Factor -5*v**4/6 + 36935*v**3/3 + 73890*v**2 + 443380*v/3 + 295600/3.
-5*(v - 14780)*(v + 2)**3/6
Factor -o**3/10 + 30029*o**2 - 4508704205*o/2.
-o*(o - 150145)**2/10
What is h in -4*h**2/9 - 33116*h/3 + 397456/9 = 0?
-24841, 4
Solve 243*c**2 + 609228*c + 381850572 = 0 for c.
-11282/9
Solve -50*q**3/11 - 472440*q**2 - 4157448*q/11 - 831488/11 = 0 for q.
-103936, -2/5
Let 3*k**2 - 3813*k + 37830 = 0. What is k?
10, 1261
Suppose 2*d**3/9 + 956*d**2/9 + 123202*d/9 + 2097640/9 = 0. Calculate d.
-229, -20
Factor -2*h**2/15 + 784*h/15.
-2*h*(h - 392)/15
Suppose -2*x**3 + 72*x**2 + 2454*x - 20020 = 0. What is x?
-26, 7, 55
Determine n so that -n**3/2 + 12248*n**2 - 75006752*n = 0.
0, 12248
Factor 2*i**4 + 256*i**3 - 3002*i**2 + 7784*i.
2*i*(i - 7)*(i - 4)*(i + 139)
Suppose -t**5/8 + 55*t**4/8 - 463*t**3/8 - 8231*t**2/8 - 2120*t + 3200 = 0. Calculate t.
-5, 1, 32
Suppose 3*n**5 + 615*n**4 = 0. What is n?
-205, 0
Suppose 3*i**4 + 2703*i**3 - 5421*i**2 - 2703*i + 5418 = 0. What is i?
-903, -1, 1, 2
Let -363*x**2 - 9337680*x - 60049771200 = 0. What is x?
-141480/11
Factor 5*k**2 + 12365*k - 24750.
5*(k - 2)*(k + 2475)
Determine l, given that -l**4 + 2524*l**3 - 1587579*l**2 - 6403424*l + 7988480 = 0.
-5, 1, 1264
Determine y, given that -52*y**2 + 30640*y - 7068 = 0.
3/13, 589
Suppose -4*p**2 - 305*p + 1539 = 0. What is p?
-81, 19/4
Suppose -3*x**3 + 1098*x**2 + 17145*x = 0. Calculate x.
-15, 0, 381
Factor -l**3 + 186*l**2 + 565*l + 378.
-(l - 189)*(l + 1)*(l + 2)
What is w in -2*w**2 + 748*w - 68370 = 0?
159, 215
Factor 2*g**3/5 + 317384*g**2/5.
2*g**2*(g + 158692)/5
Suppose -3*c**3 + 5688*c**2 - 2678967*c - 16279218 = 0. What is c?
-6, 951
Factor -5*v**3 + 12645*v**2 - 425595*v + 3605275.
-5*(v - 2495)*(v - 17)**2
Determine o so that 2*o**4/5 + 20*o**3 - 218*o**2/5 - 508*o/5 + 624/5 = 0.
-52, -2, 1, 3
What is t in 2*t**4 + 400*t**3 + 16282*t**2 + 133820*t + 310800 = 0?
-148, -42, -5
Let -10*h**4 - 1004*h**3 - 3310*h**2 - 1164*h = 0. What is h?
-97, -3, -2/5, 0
Factor -2*h**2/9 + 94294*h/9.
-2*h*(h - 47147)/9
Determine j, given that -3*j**3 - 4665*j**2 - 146109*j + 150777 = 0.
-1523, -33, 1
Find h, given that -h**2/6 + 1017*h/2 + 6110/3 = 0.
-4, 3055
Factor s**3/5 - 202*s**2/5 + 11676*s/5 - 208152/5.
(s - 118)*(s - 42)**2/5
Let -m**2/3 + 7156*m/3 - 21441 = 0. What is m?
9, 7147
Factor 2*v**2/9 + 3794*v/9 + 73480/3.
2*(v + 60)*(v + 1837)/9
Factor 5*f**4 - 7640*f**3 - 45*f**2 + 68760*f.
5*f*(f - 1528)*(f - 3)*(f + 3)
Suppose r**3/7 - 60*r**2/7 + 839*r/7 + 900/7 = 0. What is r?
-1, 25, 36
Solve -4*j**3 + 195972*j**2 + 4*j - 195972 = 0.
-1, 1, 48993
Suppose 16*z**5 - 116*z**4 - 31812*z**3 - 117544*z**2 - 93424*z + 31200 = 0. What is z?
-39, -2, 1/4, 50
What is z in -2*z**3 - 97844*z**2 + 195694*z - 97848 = 0?
-48924, 1
Factor -m**3/4 - 135*m**2/4 - 519*m/4 + 655/4.
-(m - 1)*(m + 5)*(m + 131)/4
Let 2*g**2 - 43784*g + 239629832 = 0. Calculate g.
10946
Suppose 2*d**5/7 + 332*d**4/7 + 14648*d**3/7 + 65360*d**2/7 - 64000*d + 512000/7 = 0. What is d?
-80, -10, 2
Factor 2*p**3/7 + 10200*p**2/7 + 1840248*p - 45009216.
2*(p - 24)*(p + 2562)**2/7
What is g in g**2/4 + 93*g/4 + 464 = 0?
-64, -29
Factor g**3/4 + 4*g**2 + 71*g/4 + 14.
(g + 1)*(g + 7)*(g + 8)/4
Let -f**5/7 + 5524*f**4/7 + 11051*f**3/7 + 5526*f**2/7 = 0. What is f?
-1, 0, 5526
Find l, given that -l**4/5 - 6*l**3 - 56*l**2/5 = 0.
-28, -2, 0
Find n such that -n**2 - 31794*n - 252714609 = 0.
-15897
Find d such that -2*d**4/7 - 6*d**3 + 2024*d**2/7 = 0.
-44, 0, 23
Factor 3*r**2/4 + 481131*r + 77162346387.
3*(r + 320754)**2/4
Let 2*m**3/13 + 6144*m**2/13 - 12294*m/13 + 6148/13 = 0. What is m?
-3074, 1
Find o such that 3*o**3/2 + 5708*o**2 + 10856615*o/2 - 3621409 = 0.
-1903, 2/3
Solve -2*r**3 - 334*r**2 + 7442*r - 7106 = 0 for r.
-187, 1, 19
Suppose 2*p**4/5 + 298*p**3/5 + 2076*p**2 + 19584*p/5 = 0. Calculate p.
-96, -51, -2, 0
Factor g**2 + 722752*g + 130592613376.
(g + 361376)**2
Let -2*h**4/3 + 18190*h**3/3 + 36386*h**2/3 + 18194*h/3 = 0. What is h?
-1, 0, 9097
Determine q so that q**2 - 1091*q + 1090 = 0.
1, 1090
Determine j so that -2*j**4/3 + 9604*j**3/9 - 15986*j**2/9 - 2132*j/3 = 0.
-1/3, 0, 2, 1599
Determine r so that -4*r**4 - 7136*r**3 + 158932*r**2 + 7136*r - 158928 = 0.
-1806, -1, 1, 22
Determine v so that 225*v**2 + 4198735*v + 186610 = 0.
-18661, -2/45
Factor -2*t**3/11 - 74*t**2/11 - 140*t/11.
-2*t*(t + 2)*(t + 35)/11
Suppose k**4/4 - 9*k**3/4 - 43*k**2 + 45*k = 0. Calculate k.
-10, 0, 1, 18
Solve -u**3/6 - 1709*u**2/6 - 4262*u/3 - 1136 = 0 for u.
-1704, -4, -1
Suppose 4*c**5 + 748*c**4 - 16488*c**3 + 14984*c**2 + 16484*c - 15732 = 0. What is c?
-207, -1, 1, 19
Factor -2*w**2/5 + 89056*w/5 + 89058/5.
-2*(w - 44529)*(w + 1)/5
Factor p**5 - 112*p**4 + 802*p**3 + 3520*p**2 - 42475*p + 91000.
(p - 104)*(p - 5)**3*(p + 7)
Determine z so that -z**5 - 11*z**4 + 61*z**3 + 11*z**2 - 60*z = 0.
-15, -1, 0, 1, 4
Factor w**2/2 - 1514*w - 3030.
(w - 3030)*(w + 2)/2
Suppose 5*f**3 - 2030*f**2 + 128765*f + 130800 = 0. What is f?
-1, 80, 327
Factor -2*w**3 + 13720*w**2 - 762048*w.
-2*w*(w - 6804)*(w - 56)
Solve 2*m**2 - 182960*m + 4184295200 = 0 for m.
45740
Find j such that 2*j**4 + 5052*j**3 - 20250*j**2 - 25300*j = 0.
-2530, -1, 0, 5
Factor 5*k**4/4 - 275*k**3/4 - 370*k**2 - 300*k.
5*k*(k - 60)*(k + 1)*(k + 4)/4
Solve 2*m**2 - 1724*m - 118528 = 0.
-64, 926
Determine u, given that 16*u**3/7 + 583204*u**2/7 - 62488*u - 145804/7 = 0.
-36451, -1/4, 1
Factor c**2/3 - 3161*c/3 + 3160/3.
(c - 3160)*(c - 1)/3
Find i, given that 6*i**4/17 + 724*i**3/17 + 12354*i**2/17 - 4684*i/17 - 8400/17 = 0.
-100, -21, -2/3, 1
Find d, given that 2*d**4/5 + 1626*d**3/5 + 9702*d**2/5 + 14534*d/5 + 6456/5 = 0.
-807, -4, -1
Factor m**5/3 - 11164*m**4/3 + 31547014*m**3/3 - 722478260*m**2 + 12564093675*m.
m*(m - 5547)**2*(m - 35)**2/3
Factor i**3/2 - 29370*i**2 + 862538157*i/2 + 862655641.
(i - 29371)**2*(i + 2)/2
Solve 21*d**2/4 - 99153*d/8 + 14163/4 = 0.
2/7, 4721/2
Solve 5*x**5 + 525*x**4 - 7620*x**3 + 6020*x**2 + 14160*x = 0 for x.
-118, -1, 0, 2, 12
Determine o, given that o**2 + 6506*o + 32505 = 0.
-6501, -5
Factor p**2/3 - 766862*p/3 + 147019331761/3.
(p - 383431)**2/3
Suppose -2*a**2/5 + 2056*a/5 + 39786/5 = 0. Calculate a.
-19, 1047
Find m, given that 4*m**3 + 1264*m**2 + 4992*m = 0.
-312, -4, 0
Factor z**2/2 - 7603*z/2 - 11409.
(z - 7606)*(z + 3)/2
Solve 4*x**3 - 20308*x**2 = 0 for x.
0, 5077
Factor 2*x**5/11 - 8*x**4/11 - 24*x**3/11 + 64*x**2/11 + 128*x/11.
2*x*(x - 4)**2*(x + 2)**2/11
Suppose 361*x**2 + 13338*x + 123201 = 0. Calculate x.
-351/19
Factor 2*o**2 - 13272*o.
2*o*(o - 6636)
Factor -8489*y**2 + 4*y.
-y*(8489*y - 4)
Determine q so that -3*q**2/5 - 3396*q = 0.
-5660, 0
What is k 