61)**2*(h - 10)/3
Suppose 2*f**4/7 - 12366*f**3/7 - 24740*f**2/7 = 0. Calculate f.
-2, 0, 6185
Solve p**2 + 173*p - 1260 = 0.
-180, 7
Factor 4*c**2 + 208344*c + 2712951396.
4*(c + 26043)**2
Factor 3*c**2/5 + 54339*c/5 - 163044/5.
3*(c - 3)*(c + 18116)/5
Let -3*i**4 - 87*i**3 + 984*i**2 - 1668*i - 2736 = 0. Calculate i.
-38, -1, 4, 6
Factor 3*h**3 - 7005*h**2 + 4071600*h + 20533500.
3*(h - 1170)**2*(h + 5)
Factor -p**3/2 - 31423*p**2 - 493796720*p - 2961649200.
-(p + 6)*(p + 31420)**2/2
Solve 25*z**2 - 6105*z - 11070 = 0 for z.
-9/5, 246
Factor -4*p**2 - 207128*p - 2681375524.
-4*(p + 25891)**2
Find v such that v**5/2 - 41*v**4/2 + 401*v**3/2 - 91*v**2/2 - 2535*v = 0.
-3, 0, 5, 13, 26
Suppose -k**5/3 + 86*k**4/3 + 734*k**3 + 4972*k**2/3 - 16889*k/3 + 3210 = 0. What is k?
-18, -5, 1, 107
Solve -5*o**4 - 2315*o**3 - 292710*o**2 - 5614400*o - 5324000 = 0.
-220, -22, -1
Let -5*c**2 - 17380*c - 15103220 = 0. What is c?
-1738
What is v in -3*v**3/2 + 1659*v**2 - 395136*v - 36303120 = 0?
-70, 588
Suppose -2*n**4/9 - 128*n**3 - 23218*n**2/9 + 17020*n/3 = 0. Calculate n.
-555, -23, 0, 2
Factor r**4/6 + 305*r**3/6 - 782*r**2/3 - 2170*r/3.
r*(r - 7)*(r + 2)*(r + 310)/6
Suppose -2*d**3/9 + 110*d**2/9 - 416*d/9 + 136/3 = 0. Calculate d.
2, 51
What is i in 72*i**3/13 + 286800*i**2/13 + 285461546*i/13 - 285748418/13 = 0?
-11953/6, 1
Factor 6579*g**5 + 1125006*g**4 - 513*g**3.
3*g**3*(g + 171)*(2193*g - 1)
Determine n, given that -2*n**4/9 - 372*n**3 + 8962*n**2/3 - 43720*n/9 + 6728/3 = 0.
-1682, 1, 6
Let 4*v**2/7 + 1800*v/7 - 1300 = 0. What is v?
-455, 5
Let -55*b**3 + 3200*b**2 + 9485*b - 1830 = 0. Calculate b.
-3, 2/11, 61
Suppose 2*l**2 + 88388*l + 976554818 = 0. What is l?
-22097
Factor -5*q**3 - 865*q**2 - 17360*q - 16500.
-5*(q + 1)*(q + 22)*(q + 150)
What is f in -2*f**3/11 + 95158*f**2/11 - 1131833040*f/11 - 1131928200/11 = 0?
-1, 23790
Solve -3*t**4/4 + 1695*t**3/2 - 1195311*t**2/4 + 33566085*t - 1176476427 = 0 for t.
82, 483
Factor 5*b**4 + 2802725*b**3 - 2802730*b**2.
5*b**2*(b - 1)*(b + 560546)
Factor u**3/2 - 4225*u**2/2 + 8447*u/2 - 4223/2.
(u - 4223)*(u - 1)**2/2
Let -6*n**4/11 + 804*n**3/11 + 816*n**2/11 - 804*n/11 - 810/11 = 0. Calculate n.
-1, 1, 135
Find y such that 7*y**4/5 + 29*y**3 + 651*y**2/5 + 747*y/5 - 54 = 0.
-15, -3, 2/7
Suppose -2*b**3 + 2558*b**2 - 15294*b + 22914 = 0. Calculate b.
3, 1273
Factor s**4 + 27729*s**3 + 83181*s**2 + 83179*s + 27726.
(s + 1)**3*(s + 27726)
Factor -4*w**4 + 168624*w**3 - 1778139648*w**2 + 21313400832*w.
-4*w*(w - 21072)**2*(w - 12)
Find i, given that 2*i**2/7 + 18518*i/7 + 111036/7 = 0.
-9253, -6
Determine u so that 2*u**4 - 890*u**3 + 884*u**2 + 1776*u = 0.
-1, 0, 2, 444
Determine q, given that -3*q**2 + 588*q + 33396 = 0.
-46, 242
Factor -4*u**2 + 22284*u - 355520.
-4*(u - 5555)*(u - 16)
Determine i so that 14*i**3/3 - 7130*i**2/3 + 2036*i/3 = 0.
0, 2/7, 509
Suppose -2*u**5 - 12*u**4 + 206*u**3 - 328*u**2 - 984*u + 1120 = 0. Calculate u.
-14, -2, 1, 4, 5
Factor -3*u**2 + 3888*u + 19515.
-3*(u - 1301)*(u + 5)
Solve -7*p**4/6 - 25*p**3/2 + 97*p**2 - 80*p/3 = 0 for p.
-16, 0, 2/7, 5
Factor 2*q**2 - 77766*q + 233280.
2*(q - 38880)*(q - 3)
Solve -n**2/2 + 1117*n - 63945/2 = 0 for n.
29, 2205
Factor -5*g**4 + 75*g**3 + 290*g**2 - 360*g.
-5*g*(g - 18)*(g - 1)*(g + 4)
Factor -2*q**3 + 70452*q**2 - 211318*q - 704460.
-2*(q - 35223)*(q - 5)*(q + 2)
Suppose d**3/7 - 1083*d**2/7 + 293763*d/7 - 292681/7 = 0. Calculate d.
1, 541
Determine a, given that 2*a**2/3 + 74*a/3 - 4200 = 0.
-100, 63
Find k, given that -2*k**4 - 468*k**3 - 26424*k**2 + 111860*k - 84966 = 0.
-119, 1, 3
Let -3*m**3 + 513*m**2 - 510*m = 0. Calculate m.
0, 1, 170
Suppose -2*t**2/5 - 3964*t/15 - 4818/5 = 0. What is t?
-657, -11/3
Let -2*m**2 - 578*m - 13200 = 0. What is m?
-264, -25
Factor -2*m**2 - 6132*m - 61120.
-2*(m + 10)*(m + 3056)
Let -3*q**5 + 90*q**4 + 324*q**3 - 17160*q**2 - 34848*q = 0. Calculate q.
-12, -2, 0, 22
Factor -2*l**2/13 - 15316*l/13 - 715434/13.
-2*(l + 47)*(l + 7611)/13
Factor -2*o**3/13 + 206*o**2/13 - 3990*o/13 - 71478/13.
-2*(o - 57)**2*(o + 11)/13
Suppose -3*f**4 - 2244*f**3 + 11361*f**2 + 49746*f + 36144 = 0. Calculate f.
-753, -2, -1, 8
Factor -2*c**2 + 422*c - 7980.
-2*(c - 190)*(c - 21)
Factor -m**4/5 + 64*m**3/5 + 337*m**2/5 + 548*m/5 + 276/5.
-(m - 69)*(m + 1)*(m + 2)**2/5
Find a, given that -131769*a**2 + 105270*a - 21025 = 0.
145/363
Factor 2*m**4 - 13000*m**3 + 21189900*m**2 - 210925000*m + 526501250.
2*(m - 3245)**2*(m - 5)**2
Factor 5*s**2/2 - 4547855*s/2 + 2273925.
5*(s - 909570)*(s - 1)/2
Factor s**2/4 - 166251*s/4 - 166253/2.
(s - 166253)*(s + 2)/4
Suppose 3*l**5/4 - 3543*l**4/4 + 35241*l**3/4 - 130161*l**2/4 + 52722*l - 31617 = 0. What is l?
2, 3, 1171
Let -2*p**3/13 + 2286*p**2/13 - 45264*p - 2915848 = 0. Calculate p.
-53, 598
Factor -3*s**2/4 - 17427*s + 69711/4.
-3*(s - 1)*(s + 23237)/4
Factor -3*d**2/4 + 4863*d/2 - 4860.
-3*(d - 3240)*(d - 2)/4
Determine p, given that -3*p**2/7 - 1216062*p/7 - 123233898987/7 = 0.
-202677
What is o in -5*o**4 + 155*o**3 + 1330*o**2 = 0?
-7, 0, 38
Let 2*w**3/5 + 136*w**2 - 694*w/5 - 4092/5 = 0. Calculate w.
-341, -2, 3
Let -4*r**2/5 + 1223868*r/5 = 0. Calculate r.
0, 305967
Factor -3*f**2 - 7653*f - 45810.
-3*(f + 6)*(f + 2545)
Factor 4*k**2 - 6700*k - 60624.
4*(k - 1684)*(k + 9)
Let 3*v**5 - 2424*v**4 + 40656*v**3 - 249990*v**2 + 653325*v - 593250 = 0. Calculate v.
2, 5, 791
Determine p so that -p**2/9 - 190*p/3 + 4039/9 = 0.
-577, 7
Factor n**4 - 6187*n**3 - 6188*n**2.
n**2*(n - 6188)*(n + 1)
Determine r, given that r**4/9 - 202878*r**3 + 833477702497*r**2/9 + 185217875856*r + 833481354304/9 = 0.
-1, 912952
Solve -j**4 + 741*j**3 + 1487*j**2 - 741*j - 1486 = 0.
-2, -1, 1, 743
Factor i**2/5 - 48256*i + 2910801920.
(i - 120640)**2/5
Factor f**3/3 + 310*f**2/3 - 6500*f/3 + 11000.
(f - 10)**2*(f + 330)/3
Factor -2*r**2/9 - 11168*r/3 - 15590528.
-2*(r + 8376)**2/9
Factor -c**4 + 77*c**3 - 1961*c**2 + 17023*c - 15138.
-(c - 29)**2*(c - 18)*(c - 1)
Find v such that v**4/3 + 9749*v**3/3 - 78129*v**2 + 1612303*v/3 - 2365066/3 = 0.
-9773, 2, 11
Determine o, given that -2*o**5/15 + 670*o**4/3 - 621604*o**3/5 + 68368832*o**2/3 + 348974080*o/3 + 140492800 = 0.
-3, -2, 560
Factor 2*n**2 + 1644*n - 146286.
2*(n - 81)*(n + 903)
What is v in -5615*v**4 - 32470*v**3 - 60060*v**2 - 30280*v + 9760 = 0?
-2, 244/1123
Solve 15*r**2 + 1183*r - 29898 = 0.
-99, 302/15
Let 45*q**4 - 1970*q**3 + 11485*q**2 - 7340*q - 2220 = 0. What is q?
-2/9, 1, 6, 37
Factor -f**2 - 89*f + 15842.
-(f - 89)*(f + 178)
Factor -k**3/5 - 212*k**2/5 + 170027*k/5 + 43350186/5.
-(k - 426)*(k + 319)**2/5
Factor -2*l**3 + 954*l**2 + 1922*l - 2874.
-2*(l - 479)*(l - 1)*(l + 3)
Let 10*y**3 + 105*y**2 + 45*y - 50 = 0. Calculate y.
-10, -1, 1/2
Factor 96*y**4 + 1424*y**3 + 20306*y**2/3 + 10082*y.
2*y*(y + 3)*(12*y + 71)**2/3
Factor 2*u**3 + 247290*u**2 + 494574*u + 247286.
2*(u + 1)**2*(u + 123643)
Solve -2*k**2/5 - 37368*k + 186850 = 0 for k.
-93425, 5
Factor 81*g**4 - 2871*g**3 - 1652*g**2 + 1156*g - 144.
(g - 36)*(g + 1)*(9*g - 2)**2
Solve 5*u**3 + 1362610*u**2 + 8175525*u + 12263220 = 0.
-272516, -3
Factor 2*j**2/13 - 16818*j/13 - 269600/13.
2*(j - 8425)*(j + 16)/13
Factor -25*b**3 + 4960*b**2 + 2995*b - 1990.
-5*(b - 199)*(b + 1)*(5*b - 2)
Factor -r**5 + 27*r**4 - 176*r**3 + 488*r**2 - 624*r + 304.
-(r - 19)*(r - 2)**4
Solve 39*v**5/2 + 405*v**4/2 - 1239*v**3/2 + 1107*v**2/2 - 156*v = 0.
-13, 0, 8/13, 1
Solve -5*p**5 + 2575*p**4 - 448775*p**3 + 27601925*p**2 - 199927000*p + 386144720 = 0 for p.
4, 169
Suppose 20*m**2 - 18105*m + 4525 = 0. Calculate m.
1/4, 905
Find y such that -14*y**2 + 27054*y - 146452 = 0.
38/7, 1927
Find x such that 196*x**5/11 - 70420*x**4/11 + 6228933*x**3/11 + 17298170*x**2/11 + 11826721*x/11 = 0.
-19/14, 0, 181
Let j**3/4 + 9569*j**2/4 + 57387*j/4 + 86067/4 = 0. Calculate j.
-9563, -3
Factor 2*y**3/7 + 5766*y**2/7 - 23088*y/7 + 23096/7.
2*(y - 2)**2*(y + 2887)/7
Find k such that -k**2/4 - 18045*k - 325622025 = 0.
-36090
Find n such that -n**4/5 + 4093*n**3/5 - 4092*n**2/5 = 0.
0, 1, 4092
Determine f so that 3*f**3 - 912*f**2 + 18468*f + 40608 = 0.
-2, 24, 282
Find h, given that -2*h**3 + 50*h**2 - 256*h - 728 = 0.
-2, 13, 14
Solve 3*t**2 - 40650*t + 137701875 = 0.
6775
What is p in -p**4/