Factor -p**3 + 22*p**2 + 799*p - 820.
-(p - 41)*(p - 1)*(p + 20)
Determine m so that -2*m**5 - 2024*m**4 - 4040*m**3 + 4*m**2 + 4042*m + 2020 = 0.
-1010, -1, 1
Factor 3*w**2/2 + 1593*w + 174468.
3*(w + 124)*(w + 938)/2
Determine l, given that l**3/5 - 93*l/5 - 308/5 = 0.
-7, -4, 11
Suppose u**4 + 104*u**3 - 1265*u**2 = 0. Calculate u.
-115, 0, 11
Determine l so that 8978*l**4 - 146864*l**3 + 545534*l**2 - 181488*l + 15840 = 0.
12/67, 5, 11
What is r in 27*r**3/5 - 74106*r**2/5 - 98844*r/5 - 32952/5 = 0?
-2/3, 2746
Factor 3*g**3 + 6261*g**2 + 12510*g.
3*g*(g + 2)*(g + 2085)
Suppose 5*j**2 - 16355*j - 16360 = 0. Calculate j.
-1, 3272
What is b in 4*b**4 + 8220*b**3 + 24636*b**2 + 24628*b + 8208 = 0?
-2052, -1
Find s, given that -3*s**3/5 + 4908*s**2/5 - 373677*s/5 + 368772/5 = 0.
1, 79, 1556
Let -184*m**5 + 1110*m**4 - 36*m**3 = 0. Calculate m.
0, 3/92, 6
Determine g so that 40*g**4/3 - 2206*g**3 - 45188*g**2/3 + 7114*g - 2408/3 = 0.
-7, 1/5, 1/4, 172
What is f in 4*f**5 + 188*f**4/5 - 576*f**3/5 - 7776*f**2/5 + 1728*f/5 + 15552 = 0?
-6, 18/5, 5
Determine c, given that -3*c**5/2 + 348*c**4 - 43839*c**3/2 + 176061*c**2 + 2267430*c + 2069100 = 0.
-6, -1, 19, 110
Factor -h**2 - 15737*h/3 - 10490/3.
-(h + 5245)*(3*h + 2)/3
Factor 2*g**3/9 + 1048*g**2/3 + 21922*g/9 + 6260/3.
2*(g + 1)*(g + 6)*(g + 1565)/9
Let -2*a**2/7 - 5706*a/7 - 90784/7 = 0. Calculate a.
-2837, -16
Factor -2*d**4 + 120*d**3 - 762*d**2 + 1060*d.
-2*d*(d - 53)*(d - 5)*(d - 2)
Let 158*z**5/5 - 2208*z**4/5 - 106*z**3 + 6308*z**2/5 + 4584*z/5 + 112/5 = 0. What is z?
-1, -2/79, 2, 14
Let 484*f**3 + 2548084*f**2 - 926624*f + 84240 = 0. Calculate f.
-5265, 2/11
Solve -4*c**5/5 + 1488*c**4/5 + 4564*c**3/5 - 24048*c**2/5 + 3600*c = 0.
-6, 0, 1, 2, 375
Factor 5*u**4 + 3025*u**3 - 12160*u**2 + 12180*u.
5*u*(u - 2)**2*(u + 609)
Solve -z**4/4 - 45*z**3/4 - 163*z**2/4 + 45*z/4 + 41 = 0.
-41, -4, -1, 1
Solve -2*r**3 - 5822*r**2 + 105039*r/2 - 118260 = 0 for r.
-2920, 9/2
What is w in -2*w**5/7 - 162*w**4/7 + 3938*w**3/7 - 11310*w**2/7 - 102672*w/7 - 87264/7 = 0?
-101, -3, -1, 12
Solve 4*j**4/9 + 64*j**3/9 + 320*j**2/9 + 512*j/9 = 0 for j.
-8, -4, 0
Solve 2*w**5 - 1330*w**4 + 7934*w**3 - 17158*w**2 + 15824*w - 5272 = 0.
1, 2, 659
Let -5*k**5 + 1780*k**4 - 198570*k**3 + 6685720*k**2 + 37751575*k + 30865500 = 0. What is k?
-4, -1, 95, 171
Find i, given that -i**5 + 37*i**4 - 327*i**3 - 193*i**2 + 7084*i = 0.
-4, 0, 7, 11, 23
Solve -5*i**2/2 - 1697965*i/2 - 848980 = 0 for i.
-339592, -1
Factor 2*d**2 + 2574*d + 75420.
2*(d + 30)*(d + 1257)
Factor 5*x**2 - 1570*x - 19560.
5*(x - 326)*(x + 12)
Solve 3*p**2 + 3567*p - 155106 = 0.
-1231, 42
Factor -2*k**2/3 + 20204*k/3 - 6734.
-2*(k - 10101)*(k - 1)/3
Factor -p**3/3 + 700*p**2/3 + 6361*p/3 + 14180/3.
-(p - 709)*(p + 4)*(p + 5)/3
Determine v, given that -v**5/7 + 9*v**4/7 + 218*v**3/7 - 972*v**2/7 - 856*v/7 + 3744/7 = 0.
-13, -2, 2, 4, 18
Factor 5156*q**2 - 51552*q - 80.
4*(q - 10)*(1289*q + 2)
Let -5*h**5 + 55*h**4 - 215*h**3 + 385*h**2 - 320*h + 100 = 0. What is h?
1, 2, 5
Determine f, given that -2*f**4/3 + 134*f**3/3 - 1407*f**2/2 + 2011*f/3 - 989/6 = 0.
1/2, 23, 43
Factor 300*v**4 + 1582860*v**3 + 2088029763*v**2 + 417558468*v + 20877132.
3*(v + 2638)**2*(10*v + 1)**2
What is c in -3*c**3/4 - 501*c**2/4 - 939*c + 2385 = 0?
-159, -10, 2
Factor -4*t**3/5 + 851288*t**2/5 + 1702588*t/5 + 851296/5.
-4*(t - 212824)*(t + 1)**2/5
Determine c, given that -22575*c**2 + 880415*c + 390 = 0.
-2/4515, 39
Find u, given that -u**4 - 74*u**3 - 1693*u**2 - 12276*u - 10656 = 0.
-37, -24, -12, -1
Determine b so that 3*b**4 - 600*b**3 = 0.
0, 200
Factor -125*p**4 + 6550*p**3 - 15180*p**2 + 9000*p.
-5*p*(p - 50)*(5*p - 6)**2
Factor 2*p**2/3 - 2428360*p/3 + 737116536200/3.
2*(p - 607090)**2/3
Factor 2*n**2 + 6448*n - 71170.
2*(n - 11)*(n + 3235)
Factor 4*o**2/5 - 2272*o + 33900.
4*(o - 2825)*(o - 15)/5
Factor -4*f**2 - 855992*f + 1712000.
-4*(f - 2)*(f + 214000)
Determine i so that 60*i**4/7 - 5084*i**3/7 + 6652*i**2/7 + 244*i - 3336/7 = 0.
-2/3, 1, 417/5
Factor -42*d**3 + 192585*d**2 - 220705836*d - 141961923.
-3*(d - 2293)**2*(14*d + 9)
Find g such that -242*g**3/13 + 1848*g**2/13 - 954*g/13 - 11236/13 = 0.
-2, 53/11
Determine n, given that -n**2/2 - 730328*n - 266689493792 = 0.
-730328
Factor -4*l**3 - 2612*l**2 - 43248*l.
-4*l*(l + 17)*(l + 636)
Factor -5*p**4 - 24865*p**3 + 99520*p**2 - 99540*p.
-5*p*(p - 2)**2*(p + 4977)
What is v in -v**4 + 2835*v**3 + 14206*v**2 - 17040*v = 0?
-6, 0, 1, 2840
Factor 2*o**3/11 + 2148*o**2/11 + 578880*o/11 + 1149184/11.
2*(o + 2)*(o + 536)**2/11
Find b such that -4*b**4/5 - 456*b**3/5 - 8628*b**2/5 - 22384*b/5 + 82992/5 = 0.
-91, -19, -6, 2
Solve 3*m**4 + 6513*m**3 + 3544686*m**2 + 10588512*m + 7050336 = 0.
-1084, -2, -1
Let 3*o**5 + 267*o**4 - 558*o**3 - 1068*o**2 + 2184*o = 0. What is o?
-91, -2, 0, 2
Solve -2*j**2/11 - 1667856*j/11 - 347717954592/11 = 0.
-416964
Let p**2/2 - 1587*p/2 + 3166 = 0. What is p?
4, 1583
Determine m, given that -2*m**2/5 - 1224*m/5 + 1226/5 = 0.
-613, 1
Factor -34*n**3 - 1174*n**2/9 - 1024*n/9 + 200/9.
-2*(n + 2)**2*(153*n - 25)/9
Let 7*z**4/2 - 351*z**3/2 + 505*z**2 + 564*z = 0. What is z?
-6/7, 0, 4, 47
Let -g**2 + 823*g + 6648 = 0. Calculate g.
-8, 831
Suppose k**3 - 4012*k**2 + 4007940*k + 32320800 = 0. What is k?
-8, 2010
Solve 5*c**4 + 1365*c**3 + 59050*c**2 + 165000*c = 0.
-220, -50, -3, 0
Determine w, given that w**5/3 + 437*w**4/3 - 1331*w**3 + 9347*w**2/3 - 8468*w/3 + 892 = 0.
-446, 1, 6
Factor 2*i**2 - 176*i + 1134.
2*(i - 81)*(i - 7)
Determine u so that u**4/5 - 1141*u**3/5 + 4704*u**2 = 0.
0, 21, 1120
Let -g**4 + 3434*g**3 - 3054905*g**2 + 181710400*g = 0. What is g?
0, 64, 1685
What is p in -5*p**5/9 + 178*p**4/9 + 5947*p**3/9 + 31240*p**2/9 + 34756*p/9 + 9280/9 = 0?
-16, -5, -1, -2/5, 58
Suppose -13*a**4/2 + 38804*a**3 + 167199*a**2/2 + 50761*a + 5972 = 0. Calculate a.
-1, -2/13, 5972
Factor -3*l**2 + 63*l + 2106.
-3*(l - 39)*(l + 18)
Factor 165*n**2/2 - 1728*n - 189/2.
3*(n - 21)*(55*n + 3)/2
Find t such that t**3 - 129950*t**2 + 259897*t - 129948 = 0.
1, 129948
Find g, given that -3*g**4 + 93*g**3 - 681*g**2 + 1095*g - 504 = 0.
1, 8, 21
Find p, given that 3*p**3/4 - 1533*p**2/2 + 201096*p - 2667168 = 0.
14, 504
Let -4*d**2 - 6208*d + 6212 = 0. What is d?
-1553, 1
Suppose 2*c**2/3 - 14636*c/3 + 29264/3 = 0. What is c?
2, 7316
Factor -2*c**2 + 816396*c - 83312803602.
-2*(c - 204099)**2
Factor 4*s**4 - 6336*s**3 - 76464*s**2 - 229824*s.
4*s*(s - 1596)*(s + 6)**2
What is d in 2*d**3 - 1120*d**2 - 2254*d + 3372 = 0?
-3, 1, 562
Factor 2*i**4/5 - 6*i**3/5 - 162*i**2/5 - 154*i/5.
2*i*(i - 11)*(i + 1)*(i + 7)/5
Let p**5 - 43*p**4 - 338*p**3 - 604*p**2 + 184*p + 800 = 0. Calculate p.
-4, -2, 1, 50
Suppose -o**5/3 - 65*o**4/3 - 481*o**3 - 11651*o**2/3 - 14440*o/3 + 9200 = 0. What is o?
-23, -20, -3, 1
Find a such that -a**2/9 - 478*a/9 - 475/3 = 0.
-475, -3
Factor 9*h**4 - 535*h**3 + 6592*h**2 + 41984*h.
h*(h - 32)**2*(9*h + 41)
Solve -28*q**3 + 1174*q**2 - 10872*q + 4446 = 0.
3/7, 13, 57/2
Factor -5*d**3/4 - 695*d**2/4 + 15965*d/4 + 3554015/4.
-5*(d - 67)*(d + 103)**2/4
Solve -3*q**3/4 - 58971*q**2/4 + 14745*q + 29487 = 0.
-19658, -1, 2
Find s, given that 6*s**3/5 - 124*s**2 - 8184*s/5 - 2768 = 0.
-10, -2, 346/3
Let -21*z**3 + 170*z**2 - 16*z = 0. Calculate z.
0, 2/21, 8
Factor 3*m**4 + 498*m**3 + 23004*m**2 + 193752*m + 438048.
3*(m + 4)*(m + 6)*(m + 78)**2
Solve -3*p**3/2 - 2496*p**2 + 9993*p/2 - 2499 = 0 for p.
-1666, 1
Let 4226083683*q**4 + 502926577815*q**3 + 2691765378*q**2 + 4802388*q + 2856 = 0. Calculate q.
-119, -2/1121
Factor 3*b**3 + 1920*b**2 - 12*b - 7680.
3*(b - 2)*(b + 2)*(b + 640)
Factor 4*n**2 + 123760*n + 957283600.
4*(n + 15470)**2
Factor -j**3 + 10780*j**2 - 29008932*j - 232761888.
-(j - 5394)**2*(j + 8)
Factor 9*a**3 - 41232*a**2 - 110004*a - 55008.
3*(a - 4584)*(a + 2)*(3*a + 2)
Solve -5*f**4 + 135*f**3 + 3285*f**2 + 19285*f + 32340 = 0 for f.
-7, -3, 44
Determine t, given that -2*t**2 - 7121760*t - 6339933187200 = 0.
-1780440
Factor j**4/3 - 1054*j**3/3 + 320233*j**2/3 - 7466536*j + 150549168.
(j - 483)**2*(j - 44)**2/3
Factor -5*l**3/3 - 215*l**2/3 + 3790*l/3 + 2800.
-5*(l - 15)*(l + 2)*(l + 56)/3
Factor 5*t**2 - 1670130*t + 3340240.
5*(t - 334024)*(t - 2)
Let -4*p**2 