-394, -11, -1, 0, 3
Factor -3*r**3/5 - 293187*r**2/5 + 1759203*r/5 - 527769.
-3*(r - 3)**2*(r + 97735)/5
Factor -4*d**4 + 120*d**3 + 6052*d**2 + 5928*d.
-4*d*(d - 57)*(d + 1)*(d + 26)
Determine z so that -4*z**5 + 216*z**4 + 1292*z**3 - 19152*z**2 - 113680*z = 0.
-7, 0, 10, 58
Solve -3*g**5/7 - 684*g**4/7 - 25056*g**3/7 - 305370*g**2/7 - 103275*g + 5649750/7 = 0 for g.
-186, -15, 3
Find t such that 2*t**4/5 + 314*t**3/5 + 5736*t**2/5 - 384472*t/5 - 2006816 = 0.
-124, -34, 35
Factor n**2/6 + 17183*n/6 - 2864.
(n - 1)*(n + 17184)/6
Factor 5*z**3/3 + 28580*z**2/3 + 9525*z.
5*z*(z + 1)*(z + 5715)/3
Let -w**3 + 1048*w**2 - 9365*w + 14546 = 0. Calculate w.
2, 7, 1039
Find j such that 15585*j**3/2 + 924695*j**2/4 - 312145*j/4 + 75/2 = 0.
-30, 1/2078, 1/3
Factor 4*z**2 + 9380*z - 28176.
4*(z - 3)*(z + 2348)
Factor o**5 - 1330*o**4 + 446188*o**3 - 2629464*o**2.
o**2*(o - 662)**2*(o - 6)
Determine q so that 555*q**5 + 3895*q**4 - 4370*q**3 - 60020*q**2 - 81000*q - 1440 = 0.
-6, -3, -2, -2/111, 4
Solve -5*k**4 + 2770*k**3 - 383645*k**2 = 0.
0, 277
Factor 5*f**2 - 99940*f + 399680.
5*(f - 19984)*(f - 4)
Let -5*l**3 + 1905*l**2 + 29420*l + 110880 = 0. Calculate l.
-8, -7, 396
Factor 5*b**2 + 2475*b + 24250.
5*(b + 10)*(b + 485)
Factor -s**2/4 + 185*s/4 + 2796.
-(s - 233)*(s + 48)/4
Factor o**4 - 20*o**3 - 366*o**2 + 788*o - 403.
(o - 31)*(o - 1)**2*(o + 13)
Factor -o**4 - 199645*o**3 + 598941*o**2 - 598943*o + 199648.
-(o - 1)**3*(o + 199648)
Factor -2*f**2/7 + 5760*f/7 + 57800/7.
-2*(f - 2890)*(f + 10)/7
Let p**2/2 - 692143*p + 479061932449/2 = 0. What is p?
692143
Factor -5514*u**2 + u.
-u*(5514*u - 1)
Factor 5*u**3 - 1715*u**2 + 51770*u + 234840.
5*(u - 309)*(u - 38)*(u + 4)
Factor -2*k**3/3 + 272*k**2/3 + 80422*k/3 + 1223236.
-2*(k - 294)*(k + 79)**2/3
Let -21*k**4/4 + 5697*k**3/4 - 192165*k**2/2 - 69768*k + 27744 = 0. What is k?
-1, 2/7, 136
Suppose 3*q**4/4 + 1839*q**3/4 - 18837*q**2/4 - 91191*q/4 + 121485/2 = 0. Calculate q.
-623, -5, 2, 13
Determine k, given that -k**4 - 306*k**3 - 22749*k**2 - 22444*k = 0.
-181, -124, -1, 0
Let -2*u**4 - 428*u**3 + 3960*u**2 - 11988*u + 12042 = 0. What is u?
-223, 3
Factor -3*n**3 - 1468842*n**2 - 179791401747*n.
-3*n*(n + 244807)**2
Suppose 2661*n**5/7 - 3167*n**4 + 47848*n**3/7 + 108*n**2/7 - 28384*n/7 - 64/7 = 0. What is n?
-2/3, -2/887, 1, 4
Suppose 2*g**4/11 - 24*g**3/11 + 54*g**2/11 + 208*g/11 - 672/11 = 0. Calculate g.
-3, 4, 7
Solve 5*k**5/6 - 173*k**4/6 + 770*k**3/3 - 848*k**2/3 - 2256*k - 840 = 0.
-2, -2/5, 6, 10, 21
Find j, given that -3969*j**3 + 1120*j**2 + 4*j = 0.
-2/567, 0, 2/7
Factor -5*s**3 + 4755*s**2 - 754695*s - 191706055.
-5*(s - 541)**2*(s + 131)
Factor -2*n**3/3 + 6788*n**2 - 17278854*n.
-2*n*(n - 5091)**2/3
Factor -3*o**2/4 + 3603*o/4 + 18315.
-3*(o - 1221)*(o + 20)/4
Factor -3*v**3 - 30913*v**2 + 51532*v + 20612.
-(v - 2)*(v + 10306)*(3*v + 1)
Factor -34*t**2 - 250*t + 9744.
-2*(t + 21)*(17*t - 232)
Solve -5*u**4 - 19060*u**3 - 18145105*u**2 + 36366490*u = 0.
-1907, 0, 2
Suppose -o**4/8 - 15335*o**3/4 - 78397629*o**2/2 - 133667916557*o - 534044730524 = 0. Calculate o.
-10222, -4
Let 2*g**2/17 - 382*g/17 - 31372/17 = 0. What is g?
-62, 253
Factor 2*j**3/3 + 2746*j**2/3 - 3670*j + 2754.
2*(j - 3)*(j - 1)*(j + 1377)/3
Determine x so that -5*x**2 - 270*x - 2200 = 0.
-44, -10
What is h in h**2 - 206560*h + 10666758400 = 0?
103280
Determine f so that 5*f**3 + 718180*f**2 - 2154575*f + 1436390 = 0.
-143639, 1, 2
Find r, given that -3*r**4/5 + 57*r**3/5 + 501*r**2/5 + 1143*r/5 + 702/5 = 0.
-3, -1, 26
Factor -101414*v**2/7 + 101404*v/7 + 10/7.
-2*(v - 1)*(50707*v + 5)/7
Factor 532*g**3 - 3180*g**2 + 2588*g + 60.
4*(g - 5)*(g - 1)*(133*g + 3)
Find z such that 876*z**3/5 + 32421*z**2/5 + 61653*z/5 + 126 = 0.
-35, -2, -3/292
Factor -2*n**2/11 - 15712*n/11 + 204594/11.
-2*(n - 13)*(n + 7869)/11
What is b in -2*b**2 + 3186*b + 130640 = 0?
-40, 1633
Solve z**2/5 - 1539392*z/5 + 592431932416/5 = 0 for z.
769696
Factor -k**3/5 - 6504*k**2/5.
-k**2*(k + 6504)/5
Factor -s**2 - 266*s - 8853.
-(s + 39)*(s + 227)
Solve 3*y**4 - 12*y**3 - 624*y**2 - 2256*y - 2160 = 0 for y.
-10, -2, 18
Factor 196*q**2 + 1470840*q + 2759400900.
4*(7*q + 26265)**2
Factor 2*m**3 - 516*m**2 - 2642*m + 3156.
2*(m - 263)*(m - 1)*(m + 6)
Find f such that f**2/4 + 347*f/4 + 14271/2 = 0.
-213, -134
Factor -5*h**3 + 12195*h**2 - 97320*h + 194480.
-5*(h - 2431)*(h - 4)**2
Suppose 4*y**3/3 - 448*y**2/3 + 9716*y/3 + 10168/3 = 0. Calculate y.
-1, 31, 82
Find z, given that -3*z**3/8 + 1065*z**2/4 - 337629*z/8 - 341901/4 = 0.
-2, 243, 469
Factor -3*s**2 + 42324*s - 42321.
-3*(s - 14107)*(s - 1)
Suppose 2*u**3/3 - 5684*u**2/3 - 17090*u/3 + 56900/3 = 0. Calculate u.
-5, 2, 2845
Determine u so that -u**3/9 + 16*u**2/9 + 3248*u/9 + 6272 = 0.
-28, 72
What is g in 10*g**4 - 1336*g**3 + 18974*g**2 - 66536*g - 29736 = 0?
-2/5, 7, 9, 118
Factor 2*w**3/7 + 40312*w**2/7 - 80630*w/7 + 40316/7.
2*(w - 1)**2*(w + 20158)/7
Determine i so that -2*i**3 + 9102*i**2 + 8*i - 36408 = 0.
-2, 2, 4551
Find g such that 85*g**3 - 8425*g**2 - 112230*g + 13320 = 0.
-12, 2/17, 111
Solve -d**4 - 5155*d**3 - 6777897*d**2 - 344341633*d + 715836110 = 0 for d.
-2551, -55, 2
Factor z**2 - 6314*z - 50576.
(z - 6322)*(z + 8)
Let -d**5 - 1545*d**4 - 1531*d**3 + 20073*d**2 + 1532*d - 18528 = 0. What is d?
-1544, -4, -1, 1, 3
Suppose -u**2/6 + 41189*u/3 + 82379/6 = 0. What is u?
-1, 82379
Factor -2286387*h**2/5 + 5238*h/5 - 3/5.
-3*(873*h - 1)**2/5
Let -h**5 + 79*h**4 - 728*h**3 - 33844*h**2 - 124032*h - 119808 = 0. Calculate h.
-13, -2, 48
What is h in -4*h**2 + 23912*h - 524128 = 0?
22, 5956
Factor 5*m**4 - 32*m**3 - 163*m**2 + 414*m.
m*(m - 9)*(m - 2)*(5*m + 23)
Suppose 4*z**5 - 32174*z**4 + 80404*z**3 + 48246*z**2 = 0. Calculate z.
-1/2, 0, 3, 8041
Factor 2*x**2/11 + 1332*x/11 + 2656/11.
2*(x + 2)*(x + 664)/11
Factor -4*m**3 + 420*m**2 - 10904*m + 20160.
-4*(m - 63)*(m - 40)*(m - 2)
Factor 2*y**2/9 + 23468*y/9 + 7822/3.
2*(y + 1)*(y + 11733)/9
Determine o so that -84*o**4 + 2595*o**3 + 39087*o**2 + 4158*o = 0.
-11, -3/28, 0, 42
Factor 4*x**2/5 + 43776*x + 598855680.
4*(x + 27360)**2/5
Factor -t**3/3 - 59*t**2/3 - 739*t/3 + 925.
-(t - 3)*(t + 25)*(t + 37)/3
Solve -3*m**4 - 3*m**3 + 45*m**2 + 27*m - 162 = 0.
-3, 2, 3
Factor -i**5/7 - 90*i**4/7 - 2829*i**3/7 - 4828*i**2 - 9744*i + 84672.
-(i - 3)*(i + 9)*(i + 28)**3/7
Factor 5*t**3 + 2285*t**2 + 66450*t + 178920.
5*(t + 3)*(t + 28)*(t + 426)
Suppose 11*t**4/9 - 1762*t**3/9 + 35047*t**2/9 - 189992*t/9 + 11132/3 = 0. Calculate t.
2/11, 11, 138
Factor 452*s**2 + 2304*s + 220.
4*(s + 5)*(113*s + 11)
Suppose -2*g**3 + 5490*g**2/7 - 2446*g + 2334/7 = 0. What is g?
1/7, 3, 389
Factor 2*j**2/15 + 344*j/15 + 6854/15.
2*(j + 23)*(j + 149)/15
Let w**5/10 - 76*w**4/5 + 1349*w**3/2 - 33271*w**2/5 - 124576*w/5 - 87856/5 = 0. Calculate w.
-2, -1, 19, 68
Suppose -2*k**5/7 + 4792*k**4/7 - 2052*k**3 + 14360*k**2/7 - 4786*k/7 = 0. What is k?
0, 1, 2393
Factor -k**2/4 - 353*k/4 + 1077/2.
-(k - 6)*(k + 359)/4
Suppose 8*o**4 - 8858*o**3 + 2439780*o**2 + 6776550*o = 0. Calculate o.
-11/4, 0, 555
Find n, given that 2*n**2/11 + 2335488*n/11 + 681813024768/11 = 0.
-583872
Factor -n**2/5 - 2281*n/5 - 9108/5.
-(n + 4)*(n + 2277)/5
Let -h**2/4 - 2329*h/4 - 40145/2 = 0. What is h?
-2294, -35
What is t in t**4 - 65*t**3 + 393*t**2 + 12649*t + 12190 = 0?
-10, -1, 23, 53
Factor -2*j**2/17 - 18764*j/17 - 93770/17.
-2*(j + 5)*(j + 9377)/17
Factor 5471*z**3/4 - 5477*z**2/4 - 2734*z + 3.
(z - 2)*(z + 1)*(5471*z - 6)/4
Factor 2*o**3/11 + 136*o**2/11 - 2326*o/11 - 2460/11.
2*(o - 15)*(o + 1)*(o + 82)/11
Find k, given that 4*k**4 - 92*k**3 + 48*k**2 + 848*k + 704 = 0.
-2, -1, 4, 22
Determine f so that 2*f**2/15 - 553520*f/3 + 191490244000/3 = 0.
691900
Factor 9*n**3 - 1824*n**2 + 8301*n + 2970.
3*(n - 198)*(n - 5)*(3*n + 1)
Suppose -3*l**5 - 48*l**4 + 3957*l**3 + 29130*l**2 - 1469028*l + 2790744 = 0. Calculate l.
-31, 2, 22
Solve 3*i**2/5 + 473226*i/5 + 18661903923/5 = 0.
-78871
Let -4*k**2/9 - 111184*k/3 - 772617616 = 0. Calculate k.
-41694
Solve -5*o**2 - 21315*o = 0.
-4263, 0
Suppose 5*h**3 - 55010*h**2 - 440400*h = 0. What is h?
-8, 0, 11010
Factor -2*o**3 + 458*o**2 - 1356*o.
-2*o*(o - 226)*(o - 3)
Solve -3*o**5/4 - o**4/2 + 1225*o**3/4 - 615*o**2 - 6633*o + 22