*p**5 - 6501*p**4 - 3512133*p**3 + 10621065*p**2 + 14126700*p = 0.
-1085, -1, 0, 4
Find k such that 5*k**5 + 172*k**4 + 653*k**3 - 306*k**2 - 2916*k - 1080 = 0.
-30, -3, -2/5, 2
Solve x**3 - 9560*x**2 = 0 for x.
0, 9560
Factor 5*n**2 + 16250*n + 178145.
5*(n + 11)*(n + 3239)
Factor 5*s**2 + 849980*s + 36123300020.
5*(s + 84998)**2
Suppose 2*y**3/15 + 22*y**2/15 - 536*y/15 - 1144/15 = 0. What is y?
-22, -2, 13
What is i in 2*i**3/9 + 29668*i**2/9 + 592760*i/9 + 329200 = 0?
-14814, -10
What is n in 3*n**2/4 + 5847*n + 70137/4 = 0?
-7793, -3
Factor 5*u**2/3 - 3474*u - 2085.
(u - 2085)*(5*u + 3)/3
What is p in -2*p**4/11 + 1410*p**3/11 + 5722*p**2/11 - 35250*p/11 - 141800/11 = 0?
-5, -4, 5, 709
Determine q so that -4*q**4 - 796*q**3 - 25260*q**2 - 48148*q - 23680 = 0.
-160, -37, -1
Let 21*q**3/2 - 1537*q**2 + 582*q + 292 = 0. What is q?
-2/7, 2/3, 146
Determine h, given that -4*h**2/5 - 1392*h/5 + 4964 = 0.
-365, 17
Factor n**3/2 + 27*n**2/2 + 36*n.
n*(n + 3)*(n + 24)/2
Factor 5*p**3/2 + 67*p**2/2 - 84*p - 360.
(p - 4)*(p + 15)*(5*p + 12)/2
Solve -2*a**3/19 - 686*a**2/19 - 28016*a/19 + 5856168/19 = 0.
-206, 69
Determine q, given that -735361250*q**3 - 230100*q**2 - 18*q = 0.
-3/19175, 0
Determine l so that 5*l**4 - 1610*l**3 - 60*l**2 + 19400*l - 25760 = 0.
-4, 2, 322
Solve g**2/2 - 53*g/2 - 7399 = 0 for g.
-98, 151
Find w, given that 5*w**5 - 1110*w**4 + 58105*w**3 + 397860*w**2 - 454860*w = 0.
-7, 0, 1, 114
Solve 4*z**4 + 58956*z**3 - 176892*z**2 + 176900*z - 58968 = 0.
-14742, 1
Suppose -29435*c**4 - 66642*c**3 - 16207*c**2 - 1344*c - 36 = 0. Calculate c.
-2, -3/29, -2/35
Let 2*c**2/15 - 38702*c/15 - 23232 = 0. Calculate c.
-9, 19360
Suppose -c**3/6 + 2551*c**2/3 + c/6 - 2551/3 = 0. What is c?
-1, 1, 5102
Factor -2*q**2/11 - 13700*q/11 - 13698/11.
-2*(q + 1)*(q + 6849)/11
Suppose 2*d**5 - 30*d**4 - 76*d**3 + 672*d**2 + 704*d - 3072 = 0. What is d?
-4, -3, 2, 4, 16
Find n such that 2*n**5/9 + 962*n**4/9 + 3758*n**3/9 - 9326*n**2/3 - 16576*n - 19080 = 0.
-477, -5, -3, -2, 6
What is l in 2*l**2 - 4938*l + 14796 = 0?
3, 2466
Factor 5*w**2 - 1901910*w - 1901915.
5*(w - 380383)*(w + 1)
Find u such that u**3 - 4359*u**2 + 4743675*u + 14270283 = 0.
-3, 2181
Factor -2*h**3 - 178*h**2 - 3976*h - 15680.
-2*(h + 5)*(h + 28)*(h + 56)
Determine o, given that -2*o**2/15 + 1244*o/15 + 48766/15 = 0.
-37, 659
Factor -g**3/12 - 193*g**2/6 + 2849*g/4.
-g*(g - 21)*(g + 407)/12
Find p such that -4*p**4 + 392*p**3 - 2180*p**2 - 2576*p = 0.
-1, 0, 7, 92
Factor 165*d**2/2 + 119*d/4 + 3/4.
(3*d + 1)*(110*d + 3)/4
Factor 3*d**2/5 - 11889*d/5 - 11904.
3*(d - 3968)*(d + 5)/5
Suppose -4*l**4 + 24*l**3 + 3712*l**2 + 21120*l + 27648 = 0. Calculate l.
-24, -4, -2, 36
Factor z**3/7 - 1124*z**2/7 + 2245*z/7 - 1122/7.
(z - 1122)*(z - 1)**2/7
Let p**3/2 + 9325*p**2/2 + 55923*p/2 + 83871/2 = 0. Calculate p.
-9319, -3
Let 5*g**3 + 865*g**2 + 5810*g = 0. What is g?
-166, -7, 0
Solve 4*q**3 + 840*q**2 + 7904*q - 19200 = 0.
-200, -12, 2
Suppose x**4/9 + 62*x**3/9 + 392*x**2/3 + 738*x + 1215 = 0. What is x?
-27, -5, -3
Factor -2*t**3/9 - 472250*t**2/9 - 27877271686*t/9 + 27877743938/9.
-2*(t - 1)*(t + 118063)**2/9
Factor 3*o**3 + 5004*o**2 + 2135808*o + 40738560.
3*(o + 20)*(o + 824)**2
Find c such that -c**4/4 + 18085*c**3/2 - 325835133*c**2/4 - 5570595955*c - 94878168529 = 0.
-34, 18119
Find m such that 3095*m**2/2 + 634*m/3 + 2/3 = 0.
-2/15, -2/619
Determine l, given that -l**4 + 7953*l**3 - 31793*l**2 - 23865*l + 143082 = 0.
-2, 3, 7949
Find u, given that 26*u**3/11 - 7620*u**2/11 + 23256*u/11 - 16240/11 = 0.
14/13, 2, 290
Determine y so that 2*y**3/11 + 2180*y**2/11 + 69606*y + 7954848 = 0.
-496, -297
Factor 3*q**2 - 10581*q + 31716.
3*(q - 3524)*(q - 3)
Determine x so that 4*x**2 + 694948*x + 694944 = 0.
-173736, -1
Factor -2*h**2 - 50580*h - 50578.
-2*(h + 1)*(h + 25289)
Let p**5 + 193*p**4 + 8179*p**3 - 110577*p**2 + 195840*p - 93636 = 0. What is p?
-102, 1, 9
Suppose -4*a**5 - 49428*a**4 - 152720156*a**3 - 152621308*a**2 + 152720160*a + 152670736 = 0. Calculate a.
-6178, -1, 1
Factor l**2/4 + 8694*l + 17387.
(l + 2)*(l + 34774)/4
Solve -4*x**5 - 1496*x**4 - 14416*x**3 + 52264*x**2 - 55276*x + 18928 = 0.
-364, -13, 1
Factor 2*d**4 - 224*d**3 + 6046*d**2 + 6272*d.
2*d*(d - 64)*(d - 49)*(d + 1)
Let 3*r**4/4 + 12*r**3 - 93*r**2/4 - 699*r/2 + 360 = 0. What is r?
-16, -6, 1, 5
Factor -4*h**2 + 9334424*h - 5445716963236.
-4*(h - 1166803)**2
Factor 4*c**2/5 - 29056*c/5 - 5812.
4*(c - 7265)*(c + 1)/5
Solve d**2 - 4204*d + 83680 = 0.
20, 4184
Factor o**2 + 3082*o + 12312.
(o + 4)*(o + 3078)
Factor -98*z**3/15 - 9716*z**2/3 - 27688*z/5 - 11856/5.
-2*(z + 494)*(7*z + 6)**2/15
Let 3*x**4/5 + 99*x**3/5 + 138*x**2 - 792*x/5 = 0. Calculate x.
-22, -12, 0, 1
Find m such that 3*m**4 + 2796*m**3 + 928530*m**2 + 125736300*m + 5347447875 = 0.
-285, -77
Factor -2*v**3/25 + 28168*v**2/25.
-2*v**2*(v - 14084)/25
Find f such that 5*f**3 + 352130*f**2 + 6199776845*f = 0.
-35213, 0
Factor -5*g**5 - 8660*g**4 - 3625600*g**3 + 108416000*g**2.
-5*g**2*(g - 28)*(g + 880)**2
Determine u, given that 2*u**5/9 + 38*u**4/9 - 92*u**3 - 1252*u**2 + 9450*u - 14994 = 0.
-21, 3, 17
Solve -v**5 - 243*v**4 + 4978*v**3 = 0.
-262, 0, 19
Find s, given that 4*s**2 - 248*s - 11532 = 0.
-31, 93
Let -4*l**3/7 + 921418*l**2/7 - 7580489432*l + 26531482658/7 = 0. What is l?
1/2, 115177
Solve 2*w**5/3 + 76*w**4/3 - 1126*w**3/3 + 3616*w**2/3 - 4168*w/3 + 1600/3 = 0.
-50, 1, 2, 8
Factor 5*i**2 + 2526010*i + 319036326005.
5*(i + 252601)**2
Factor -2*n**2/3 - 122618*n/3.
-2*n*(n + 61309)/3
Determine n, given that -4*n**2 + 18488*n - 36960 = 0.
2, 4620
Factor 4*x**2/9 - 3664*x/9 - 189140/9.
4*(x - 965)*(x + 49)/9
Let -2*q**3 + 4*q**2 + 6*q = 0. What is q?
-1, 0, 3
Let 24*x**3 + 54187*x**2 + 30580094*x - 6373205 = 0. What is x?
-1129, 5/24
Factor -s**2 + 401*s - 16638.
-(s - 354)*(s - 47)
Find o, given that -o**3 - 129367*o**2 = 0.
-129367, 0
Factor l**3/4 - 161*l**2/4 + 2146*l - 37845.
(l - 58)**2*(l - 45)/4
Factor 50*d**3 - 64210*d**2 - 51392*d - 10280.
2*(d - 1285)*(5*d + 2)**2
Factor -p**2/9 + 1098772*p/9 - 301824976996/9.
-(p - 549386)**2/9
Let -4*n**5 + 284*n**4 - 456*n**3 - 6624*n**2 = 0. Calculate n.
-4, 0, 6, 69
Determine o so that 5*o**5 + 645*o**4 + 19810*o**3 - 64020*o**2 + 43560*o = 0.
-66, 0, 1, 2
Factor -2*v**2 - 1280984*v + 2561976.
-2*(v - 2)*(v + 640494)
Suppose 5*o**5 - 85*o**4 - 270*o**3 + 2620*o**2 + 10600*o + 10080 = 0. What is o?
-4, -2, 7, 18
Factor 3*p**2/7 + 47343*p/7 + 47340/7.
3*(p + 1)*(p + 15780)/7
Suppose -s**2 + 73870*s = 0. What is s?
0, 73870
Factor -2*b**2 + 2046564*b - 523553025762.
-2*(b - 511641)**2
Suppose 111*x**2 - 40850*x + 736 = 0. Calculate x.
2/111, 368
Let 2*l**2/15 + 50558*l/15 + 101108/15 = 0. What is l?
-25277, -2
Factor -21*h**3/4 - 225*h**2/4 - 150*h.
-3*h*(h + 5)*(7*h + 40)/4
Factor 2*u**2/7 + 91520*u/7 + 1046988800/7.
2*(u + 22880)**2/7
Let -188955*v**3/4 + 188949*v**2/2 - 188931*v/4 - 3 = 0. What is v?
-4/62985, 1
Factor 17*q**2 - 584258*q + 68736.
(q - 34368)*(17*q - 2)
Suppose 4*i**3/3 + 32554*i**2/3 + 66243320*i/3 + 33113522/3 = 0. Calculate i.
-4069, -1/2
Factor 2*m**2/5 + 1528*m/5 + 1216.
2*(m + 4)*(m + 760)/5
Suppose -9*j**4/2 + 2382*j**3 - 753*j**2 - 21438*j + 14283/2 = 0. Calculate j.
-3, 1/3, 3, 529
What is r in -2*r**5/9 + 896*r**4/9 - 44984*r**3/3 + 6998624*r**2/9 - 24357248*r/9 - 25934336/3 = 0?
-2, 6, 148
Determine o, given that -4*o**2 - 39888*o - 557648 = 0.
-9958, -14
Factor -z**2/10 - 104666*z - 27387428890.
-(z + 523330)**2/10
Determine h, given that -3*h**2 + 727512*h - 44106142512 = 0.
121252
Solve -i**4/3 - 379*i**3/3 - 47473*i**2/3 - 650247*i + 666198 = 0.
-146, -117, 1
Suppose 5736*i**2 - 25844*i + 144 = 0. What is i?
4/717, 9/2
Determine t, given that -2*t**5/9 + 706*t**4/9 - 20378*t**3/3 - 225082*t**2/9 + 3137072*t/9 - 316840 = 0.
-9, 1, 5, 178
Find c, given that 3*c**4/2 + 66*c**3 + 624*c**2 + 1536*c = 0.
-32, -8, -4, 0
Let -2*q**2 + 40776*q - 207835272 = 0. What is q?
10194
Solve c**4/3 + 34*c**3/3 + 140*c**2/3 - 1378*c/3 - 495 = 0 for c.
-27, -11, -1, 5
Let -36*h**4 + 120*h**3 + 15356*h**2 - 178640*h + 470400 = 0. What is h?
-24, 4, 35/3
Factor -4*z**2 - 50690*z + 25346.
-2*(z + 12673)*(2*z - 1)
Solve -2*j**3 - 26378*j**2 + 316824*j = 0.
-13201, 0, 12