5, -1, 81
Factor -2*t**2/3 - 6826*t/3 + 85100.
-2*(t - 37)*(t + 3450)/3
Determine p, given that 4*p**4 - 25164*p**3 + 326340*p**2 + 728188*p + 376680 = 0.
-1, 15, 6278
Let -2*m**5 - 3388*m**4 - 1441556*m**3 - 5688520*m**2 + 10030150*m + 14280500 = 0. What is m?
-845, -5, -1, 2
Find v such that 4*v**2 - 61220*v = 0.
0, 15305
Factor -3*i**4/2 - 1635*i**3/2 - 165726*i**2 - 14830152*i - 494768928.
-3*(i + 124)**3*(i + 173)/2
Determine g, given that -5*g**3 - 130*g**2 + 2175*g + 13500 = 0.
-36, -5, 15
Factor -4*k**3/7 - 456*k**2/7 + 864*k.
-4*k*(k - 12)*(k + 126)/7
Factor -3*l**4 - 4722*l**3 - 2721276*l**2 - 673999320*l - 59514758304.
-3*(l + 212)*(l + 454)**3
Find a, given that -a**3 - 220*a**2 + 54707*a + 12057786 = 0.
-227, 234
Suppose -5*j**4 - 245*j**3 - 3420*j**2 - 10900*j - 10000 = 0. What is j?
-25, -20, -2
Find r such that 3*r**3 + 7785*r**2 - 125136*r + 501312 = 0.
-2611, 8
Factor u**3/4 - 101*u**2/4 - 26*u + 51.
(u - 102)*(u - 1)*(u + 2)/4
Let 2*b**3/3 - 28*b**2/3 + 122*b/3 - 56 = 0. What is b?
3, 4, 7
Solve m**4/2 - 2439*m**3/2 + 1521969*m**2/2 - 42238865*m/2 + 39204675 = 0 for m.
2, 27, 1205
Suppose 30*d**3 + 1406*d**2 - 4688*d + 600 = 0. What is d?
-50, 2/15, 3
Solve -10*m**5 - 25*m**4 + 4605*m**3 - 24025*m**2 + 36365*m - 12750 = 0 for m.
-25, 1/2, 2, 3, 17
Factor -4*a**2 + 3232*a + 272580.
-4*(a - 885)*(a + 77)
Factor -s**3/2 - 5451*s**2/2 - 3712812*s + 3715538.
-(s - 1)*(s + 2726)**2/2
Find c such that -4*c**3/5 - 3088*c**2/5 + 1860*c = 0.
-775, 0, 3
Suppose -4*q**3 - 8*q**2 + 1360*q - 8800 = 0. What is q?
-22, 10
Factor -3*f**2 + 96*f - 765.
-3*(f - 17)*(f - 15)
Solve -3*o**5 + 107*o**4/6 + 337*o**3 + 3026*o**2/3 + 730*o + 75/2 = 0.
-5, -3, -1, -1/18, 15
Solve -6*d**5 + 218*d**4 - 1260*d**3 - 13212*d**2 - 19278*d + 7938 = 0 for d.
-3, 1/3, 21
Find t such that -468*t**4 + 4642*t**3 - 10852*t**2 - 912*t = 0.
-19/234, 0, 4, 6
Solve -4*w**3/9 - 8*w**2/9 + 28*w = 0 for w.
-9, 0, 7
Factor -2*m**3/11 + 16844*m**2/11 - 336280*m/11 + 1680400/11.
-2*(m - 8402)*(m - 10)**2/11
Suppose -4*b**5/3 - 394*b**4/3 - 8408*b**3/3 + 72022*b**2/3 + 110032*b + 48672 = 0. What is b?
-52, -3, -1/2, 9
Factor 2*p**2 - 1945076*p + 472915080722.
2*(p - 486269)**2
Suppose 2*h**4 + 444*h**3 + 32194*h**2 + 787872*h + 2664288 = 0. Calculate h.
-87, -44, -4
Let -3*t**3 + 2058*t**2 + 46365*t + 257004 = 0. What is t?
-11, 708
Factor -l**2/3 - 2399*l/3 - 16744/3.
-(l + 7)*(l + 2392)/3
Factor -12*n**2 + 2673*n + 669.
-3*(n - 223)*(4*n + 1)
Factor 128*j**4 + 5280*j**3 + 61506*j**2 + 140454*j.
2*j*(j + 3)*(8*j + 153)**2
What is x in 3*x**4 - 8130*x**3 + 5508063*x**2 + 32520*x - 22032300 = 0?
-2, 2, 1355
Factor -2*h**3/3 + 368*h**2/3 + 2674*h/3.
-2*h*(h - 191)*(h + 7)/3
Factor 2*n**3/5 + 12*n**2 - 282*n/5 - 68.
2*(n - 5)*(n + 1)*(n + 34)/5
Suppose -3*s**2 + 75*s + 8442 = 0. What is s?
-42, 67
Factor 961*v**4/6 + 2108*v**3 + 9896*v**2/3 - 23936*v + 61952/3.
(v + 8)**2*(31*v - 44)**2/6
Determine q, given that -2*q**5/7 + 1642*q**4/7 + 37186*q**3/7 - 79290*q**2/7 + 40464*q/7 = 0.
-24, 0, 1, 843
Factor w**2/9 + 628460*w/3 + 98740492900.
(w + 942690)**2/9
Factor -z**3/3 + 196*z**2 - 7791*z + 80262.
-(z - 546)*(z - 21)**2/3
Factor -g**3 - 16891*g**2 - 16890*g.
-g*(g + 1)*(g + 16890)
Find s such that 2*s**3/11 - 1080*s**2/11 - 48006*s/11 - 513324/11 = 0.
-21, 582
Factor -k**2/2 - 1091*k/2 + 48721.
-(k - 83)*(k + 1174)/2
Suppose 2*h**2 + 24346*h/3 - 8116/3 = 0. Calculate h.
-4058, 1/3
Suppose -c**5/2 + 347*c**4/2 - 8553*c**3 + 16416*c**2 = 0. What is c?
0, 2, 57, 288
Find q such that 4*q**2 + 85908*q = 0.
-21477, 0
Suppose m**2/6 - 679490*m/3 + 230853330050/3 = 0. Calculate m.
679490
What is j in -j**4 - 54*j**3 - 1088*j**2 - 9690*j - 32175 = 0?
-15, -13, -11
Solve -5*y**2 + 145*y = 0.
0, 29
Factor -2*y**2/9 - 12778*y/9 - 290720/3.
-2*(y + 69)*(y + 6320)/9
Factor -2*z**2 + 727180*z.
-2*z*(z - 363590)
Suppose 2*s**5 + 300*s**4 + 6220*s**3 + 49280*s**2 + 163170*s + 174244 = 0. Calculate s.
-127, -7, -2
Factor 76050*y**2 + 64740*y + 13778.
2*(195*y + 83)**2
Find m, given that 2*m**5/5 + 1116*m**4/5 - 4532*m**3/5 - 20272*m**2/5 - 22494*m/5 - 7868/5 = 0.
-562, -1, 7
Solve -4*d**3/3 + 19084*d**2/3 = 0 for d.
0, 4771
Solve -2*u**2 - 3112*u - 9318 = 0 for u.
-1553, -3
Suppose 8*v**5/9 + 85154*v**4/9 + 75451720*v**3/3 - 144857748*v**2 + 189058800*v + 56711250 = 0. What is v?
-5325, -1/4, 3
What is h in -h**2/4 + 613*h/4 + 12025/2 = 0?
-37, 650
Determine y so that y**3/2 + 36941*y**2/2 + 170551976*y - 511822176 = 0.
-18472, 3
Suppose 145*y**2 - 324955*y + 22410 = 0. What is y?
2/29, 2241
Factor 5*d**3 - 365*d**2 - 5830*d + 20640.
5*(d - 86)*(d - 3)*(d + 16)
Let 2*w**2/7 - 22504*w/7 + 63303752/7 = 0. Calculate w.
5626
Factor y**3/3 + 484*y**2/3 - 104491*y/3 + 104006/3.
(y - 161)*(y - 1)*(y + 646)/3
What is n in 5*n**3/4 - 25475*n**2/4 + 101795*n/4 + 127275/4 = 0?
-1, 5, 5091
Factor i**2/7 + 6537*i/7 - 13078/7.
(i - 2)*(i + 6539)/7
Suppose -140*q**5 + 1307872*q**4 - 3057093644*q**3 + 12038288104*q**2 - 11509869392*q - 697585952 = 0. What is q?
-2/35, 2, 4669
Factor -4*y**2 + 17624*y + 17628.
-4*(y - 4407)*(y + 1)
Find m, given that m**5/5 - 56*m**4/5 - 728*m**3/5 + 918*m**2 - 6777*m/5 + 594 = 0.
-15, 1, 3, 66
Suppose b**2/4 + 291*b/4 + 770 = 0. What is b?
-280, -11
Factor 5*j**4 + 360*j**3 - 1885*j**2 + 3060*j - 1540.
5*(j - 2)**2*(j - 1)*(j + 77)
Let 2*p**3/5 - 320254*p**2/5 + 640502*p/5 - 64050 = 0. What is p?
1, 160125
Factor -4*l**3 - 784*l**2 - 1492*l + 11640.
-4*(l - 3)*(l + 5)*(l + 194)
Let 9*d**5 - 696*d**4 + 16929*d**3 - 124914*d**2 + 28800*d + 79872 = 0. Calculate d.
-2/3, 1, 13, 32
Factor -5*l**5 + 1735*l**4 + 10545*l**3 + 15885*l**2.
-5*l**2*(l - 353)*(l + 3)**2
Factor g**2/3 - 314*g/3 + 4883.
(g - 257)*(g - 57)/3
Let a**3 - 505*a**2 - 19513*a + 20017 = 0. What is a?
-37, 1, 541
Factor 8024*g**3 + 46142*g**2 - 12013*g - 6.
(g + 6)*(4*g - 1)*(2006*g + 1)
Factor -21*z**2 - 236*z/5 + 204/5.
-(3*z - 2)*(35*z + 102)/5
Find k such that 3*k**5 + 1941*k**4 - 39867*k**3 + 103563*k**2 + 1009800*k + 864432 = 0.
-667, -3, -1, 12
Let -z**5/2 - z**4/2 + 55*z**3/2 - 35*z**2/2 - 117*z - 72 = 0. What is z?
-8, -1, 3, 6
Solve -5*c**3 - 1989505*c**2 - 3978995*c - 1989495 = 0.
-397899, -1
Find c such that -2*c**2 + 1584*c = 0.
0, 792
Factor 3*g**4 - 474*g**3 - 957*g**2 - 480*g.
3*g*(g - 160)*(g + 1)**2
Factor -5*y**2 - 21880*y + 43780.
-5*(y - 2)*(y + 4378)
Determine w so that -3*w**3/5 - 2721*w**2/5 - 16233*w/5 - 2703 = 0.
-901, -5, -1
Solve 2*p**5/9 + 284*p**4/9 + 5038*p**3/9 - 5324*p**2/9 = 0 for p.
-121, -22, 0, 1
Let r**3 + 36929*r**2 - 73861*r + 36931 = 0. What is r?
-36931, 1
Determine v, given that 3*v**3/2 - 111*v**2/2 + 603*v - 1620 = 0.
4, 15, 18
Let 3*w**2 + 1329*w - 26334 = 0. What is w?
-462, 19
Factor 2*w**3/23 + 74*w**2/23 - 2808*w/23 - 2880/23.
2*(w - 24)*(w + 1)*(w + 60)/23
Find i, given that -4*i**2 - 70*i - 196 = 0.
-14, -7/2
Factor 4*b**2 - 7688*b + 367108.
4*(b - 1873)*(b - 49)
What is b in b**5/5 + 199*b**4/5 - 43*b**3 - 3023*b**2/5 - 922*b - 400 = 0?
-200, -2, -1, 5
Factor -3*h**3 - 1818*h**2 + 18453*h - 16632.
-3*(h - 9)*(h - 1)*(h + 616)
Suppose -56*j**3 - 8948*j**2 - 33024*j + 7488 = 0. Calculate j.
-156, -4, 3/14
Factor 2*p**4 + 77184*p**3 + 231540*p**2 + 231536*p + 77178.
2*(p + 1)**3*(p + 38589)
Let -2*n**5 - 868*n**4 - 133464*n**3 - 8259760*n**2 - 153990656*n = 0. Calculate n.
-134, -32, 0
Determine f so that -f**5/3 + 68*f**4/3 - 748*f**3/3 - 4882*f**2 - 4017*f + 9126 = 0.
-9, -2, 1, 39
Suppose -9*c**3 - 2477*c**2 - 138844*c - 30732 = 0. What is c?
-197, -78, -2/9
Let 2*s**3/3 - 84*s**2 + 1666*s/3 = 0. What is s?
0, 7, 119
Suppose 3*a**4 - 1280*a**3 + 124728*a**2 + 2578752*a - 1774224 = 0. Calculate a.
-18, 2/3, 222
Solve 5*y**2 + 2170*y + 142965 = 0.
-353, -81
Suppose -4*h**2/9 + 452*h/9 + 262856/9 = 0. What is h?
-206, 319
Let 16*b**5 + 28256*b**4 + 12615412*b**3 + 123881804*b**2 + 236582368*b - 373107856 = 0. What is b?
-878, -11/2, 1
Factor 2*b**4/9 + 400*b**3/9 + 394*b**2/3.
2*b**2*(b + 3)*(b + 197)/9
Determine r so that 2*r**5/5 + 1262*r**4/5 + 70916*r**3/5 + 205196*r**2/5 + 202682*r/5 + 67142/5 = 0.
-569, -59, -1
Suppose -k**2/4 - 867*k/4 + 2860 = 0. Calculate k.
-880, 13
What is w in -5*w**3 - 660*w**2 + 6345*w = 0?
-141, 0, 9
Factor -a**2/3 + 2137*a/3 - 4