 + 129046)*(31*b - 2)
Factor -5*d**2/4 - 289417*d/2 + 115767/4.
-(d + 115767)*(5*d - 1)/4
Factor -2*r**3/7 - 3144158*r**2/7 - 176557157690*r - 20651039281782.
-2*(r + 117)*(r + 785981)**2/7
Factor n**2/5 - 131411*n/5 + 262818/5.
(n - 131409)*(n - 2)/5
Factor 4*b**3 + 9352852*b**2 - 18705716*b + 9352860.
4*(b - 1)**2*(b + 2338215)
Find z such that z**4/2 + 35*z**3/2 - 491*z**2 + 1220*z + 1728 = 0.
-54, -1, 4, 16
Find x, given that x**2/9 + 3082*x/9 + 31208 = 0.
-2988, -94
What is s in 30*s**3 + 35005*s**2 - 752670*s + 2031480 = 0?
-1188, 19/6, 18
Suppose -4*l**4 - 13768*l**3 - 11168068*l**2 + 1169068416*l - 28840190976 = 0. What is l?
-1769, 48
Factor -2*o**2/13 - 185004*o/13 - 99610.
-2*(o + 7)*(o + 92495)/13
Let -m**4/3 - 57*m**3 + 6905*m**2/3 - 4431*m + 6560/3 = 0. What is m?
-205, 1, 32
Factor 5*f**3 - 48485*f**2 + 628620*f + 8134560.
5*(f - 9684)*(f - 21)*(f + 8)
Determine f, given that -f**3 + 24366*f**2 - 121809*f + 97444 = 0.
1, 4, 24361
Solve -5*j**2 + 193967210*j - 1881163927759205 = 0.
19396721
Determine j so that 2*j**4 + 48748*j**3 + 298504778*j**2 + 17778883080*j + 266026768200 = 0.
-12157, -30
Factor v**2 - 40021070*v + 400421510986225.
(v - 20010535)**2
Suppose -h**3/7 - 725166*h**2/7 + 3625861*h/7 + 4351026/7 = 0. What is h?
-725171, -1, 6
Factor 3*f**2/5 + 68928084*f/5 + 395923396992588/5.
3*(f + 11488014)**2/5
Solve -3*g**5 - 327*g**4 + 7485*g**3 + 24387*g**2 + 25026*g + 8448 = 0.
-128, -1, 22
Find p, given that 5*p**3 - 67685*p**2 - 1063575385*p - 3000992467695 = 0.
-5041, 23619
Let 5*v**3 - 1245*v**2 - 254030*v = 0. Calculate v.
-133, 0, 382
Factor -5*d**2/3 + 9425840*d - 13326968955840.
-5*(d - 2827752)**2/3
Factor -d**3 + 3614*d**2 - 2903200*d - 671460000.
-(d - 1900)**2*(d + 186)
Solve -2*p**2/3 + 872*p + 290666/3 = 0.
-103, 1411
Suppose 3*j**4/2 - 13519*j**3 - 520358*j**2 - 674281*j - 334887/2 = 0. Calculate j.
-37, -1, -1/3, 9051
Factor i**2 + 4463*i + 2506836.
(i + 659)*(i + 3804)
Find d such that -35*d**3 + 22495*d**2 + 350080*d + 1283100 = 0.
-65/7, -6, 658
Let 4*h**5 - 23343500*h**4 + 34057448687356*h**3 - 34057331969876*h**2 - 136229794749488*h + 136229701375504 = 0. Calculate h.
-2, 1, 2, 2917937
Factor -c**3/7 - 446*c**2/7 + 40953*c.
-c*(c - 357)*(c + 803)/7
Factor 6*z**2 - 7527*z/2 + 1881/2.
3*(z - 627)*(4*z - 1)/2
Let -5*r**5 - 1491325*r**4 - 111140595240*r**3 + 9235459304840*r**2 + 38275476640240*r + 38720015160240 = 0. What is r?
-149174, -2, 87
Factor -2*o**2/3 + 84018*o + 2268972.
-2*(o - 126054)*(o + 27)/3
What is d in -5*d**4 + 162745*d**3 + 11245275*d**2 + 258762995*d + 1984316030 = 0?
-23, 32618
Determine h, given that -2*h**5 - 7590*h**4 - 158778*h**3 - 1019682*h**2 - 2649996*h - 2445552 = 0.
-3774, -12, -3
Determine c, given that 5*c**4 + 1947645*c**3 + 93475435*c**2 - 1947645*c - 93475440 = 0.
-389481, -48, -1, 1
What is b in 2*b**3 + 5046*b**2 + 4209030*b + 1158745042 = 0?
-917, -689
Let -2*n**2 + 1071582*n - 22502340 = 0. Calculate n.
21, 535770
Factor -4*w**2 + 27472088*w - 47169726192484.
-4*(w - 3434011)**2
Factor 5*y**2 + 2196795*y - 6590430.
5*(y - 3)*(y + 439362)
Factor 4*s**3 + 437780032*s**2 + 11978209338340020*s - 23956420427800200.
4*(s - 2)*(s + 54722505)**2
Factor 2*v**3/3 - 5364858*v**2 + 10793119233034*v + 226656292528526/3.
2*(v - 4023647)**2*(v + 7)/3
Factor -2*y**3 - 1312*y**2 - 88598*y - 254040.
-2*(y + 3)*(y + 73)*(y + 580)
Find y such that y**4 + 4476*y**3 + 17887*y**2 - 4476*y - 17888 = 0.
-4472, -4, -1, 1
Factor -f**2/6 - 2001*f/2 - 3792280/3.
-(f + 1808)*(f + 4195)/6
Let -4*t**3/3 - 8404*t**2 + 811012*t/3 + 278740 = 0. Calculate t.
-6335, -1, 33
Let -t**4/2 - 2842*t**3 - 647830*t**2 + 1329784*t + 5228160 = 0. Calculate t.
-5446, -240, -2, 4
Let -2*n**3 - 8136*n**2 + 65426*n + 855960 = 0. What is n?
-4076, -7, 15
Factor -m**2/2 - 38625*m + 2395711/2.
-(m - 31)*(m + 77281)/2
Let -t**2/2 - 150445*t/2 - 150443 = 0. Calculate t.
-150443, -2
What is o in 2*o**3 - 19976*o**2 + 3204222*o - 12497400 = 0?
4, 159, 9825
Determine g, given that 3*g**5 + 1026*g**4 - 808779*g**3 + 807750*g**2 = 0.
-718, 0, 1, 375
Determine c so that 6*c**2 + 2173006*c + 1448668 = 0.
-362167, -2/3
Factor -3*s**4 - 120645*s**3 + 99778032*s**2 - 27260366592*s + 2477080203264.
-3*(s - 272)**3*(s + 41031)
Find y such that 5*y**2 - 4825800*y + 231626880 = 0.
48, 965112
Suppose 5*g**4 - 9042995*g**3 + 4088855750120*g**2 - 61330801594800*g = 0. Calculate g.
0, 15, 904292
Factor -2*s**2/17 + 5180*s/17 - 367482/17.
-2*(s - 2517)*(s - 73)/17
Suppose 244*a**5 - 36160*a**4/3 + 413996*a**3/3 - 1056184*a**2/3 + 122048*a - 6528 = 0. Calculate a.
4/61, 1/3, 3, 12, 34
Solve -w**2/6 - 110959*w/3 - 1848900 = 0 for w.
-221868, -50
Find q such that 5*q**3 - 192662935*q**2 = 0.
0, 38532587
Factor -3*t**3/4 - 574359*t**2/2 - 2297427*t/4 - 287178.
-3*(t + 1)**2*(t + 382904)/4
Suppose 4*w**4 + 229552*w**3 + 3671588*w**2 - 12621688*w + 8720544 = 0. What is w?
-57372, -19, 1, 2
Determine c, given that -4*c**4 - 84556*c**3 - 169076*c**2 + 422764*c + 507288 = 0.
-21137, -3, -1, 2
Solve 6*o**4 - 83*o**3/3 - 3910*o**2/3 + 28457*o/3 - 40898/3 = 0.
-143/9, 2, 11/2, 13
Determine u so that -u**4/2 - 18503*u**3/2 + 175950*u**2 - 166698*u = 0.
-18522, 0, 1, 18
Factor -5*b**2 + 24975555*b - 49951090.
-5*(b - 4995109)*(b - 2)
Find w such that 2*w**3 - 113948*w**2 + 1622676440*w + 9740161200 = 0.
-6, 28490
Determine v so that 2*v**3/11 + 182252*v**2/11 + 4151427128*v/11 - 24915124272/11 = 0.
-45566, 6
What is o in 3*o**5 - 267*o**4 - 5934*o**3 + 676320*o**2 + 681984*o = 0?
-48, -1, 0, 64, 74
Factor 5*c**2 - 2124429130*c + 225659956419627845.
5*(c - 212442913)**2
Factor -3*z**5 + 15309*z**4 + 276291*z**3 + 1244403*z**2.
-3*z**2*(z - 5121)*(z + 9)**2
Solve -2*b**2 + 182098842*b - 182098840 = 0 for b.
1, 91049420
Factor 5*z**3 + 6163945*z**2 + 12327875*z + 6163935.
5*(z + 1)**2*(z + 1232787)
Determine t, given that 4*t**2 + 93865024*t + 550665170657536 = 0.
-11733128
Find c, given that -243*c**4 - 848171628*c**3 - 740118520727058*c**2 - 164470750970028*c - 9137263361043 = 0.
-1745209, -1/9
Determine a, given that 147*a**3/2 - 135231*a**2/4 + 332355*a/2 + 20475/4 = 0.
-3/98, 5, 455
Factor -4*c**2 + 168568*c + 674336.
-4*(c - 42146)*(c + 4)
Factor x**3/2 - 183*x**2/2 + 1690*x + 1782.
(x - 162)*(x - 22)*(x + 1)/2
Solve 2*x**4/5 - 6428*x**3/5 + 5085242*x**2/5 + 5091672*x/5 = 0.
-1, 0, 1412, 1803
Factor -3*x**3 - 4108*x**2 + 31679*x + 11016.
-(x - 8)*(x + 1377)*(3*x + 1)
Factor -q**3/4 + 1422*q**2 + 338905*q/4 + 241374.
-(q - 5747)*(q + 3)*(q + 56)/4
Factor t**2/4 - 482845*t + 3862744.
(t - 1931372)*(t - 8)/4
Solve -5*l**3/2 + 15380*l**2 - 153675*l/2 = 0.
0, 5, 6147
Suppose -c**3/6 - 722*c**2/3 - 259192*c/3 + 1048352/3 = 0. Calculate c.
-724, 4
Suppose 2*l**4/19 - 148*l**3/19 - 212568*l**2/19 - 20552428*l/19 + 251965142/19 = 0. What is l?
-169, 11, 401
Let 4*l**2 + 2376*l - 156960 = 0. Calculate l.
-654, 60
Factor 2*b**2/9 - 28846*b/9 + 76880/3.
2*(b - 14415)*(b - 8)/9
Factor 2*b**2 + 88194480*b + 972283287808800.
2*(b + 22048620)**2
Suppose 3*w**2 + 2294328*w + 57356325 = 0. What is w?
-764751, -25
Factor z**4/5 - 639*z**3/5 + 10174*z**2 - 50232*z/5.
z*(z - 546)*(z - 92)*(z - 1)/5
Determine r so that 17228450*r**5/17 + 155126490*r**4/17 + 465802182*r**3/17 + 467070678*r**2/17 + 1903824*r/17 + 1944/17 = 0.
-3, -6/2935
Find j such that 2*j**3/7 + 16728*j**2/7 - 1368090*j/7 = 0.
-8445, 0, 81
Solve 5*t**4/4 - 13345*t**3/2 - 1270765*t**2/4 + 14248125*t/2 - 12924000 = 0.
-64, 2, 15, 5385
Solve -2*l**5 + 2488*l**4 - 43846*l**3 - 355576*l**2 + 43848*l + 353088 = 0.
-6, -1, 1, 24, 1226
Determine t so that -9*t**3 - 11961753*t**2/4 - 58811067*t/4 + 2491995/2 = 0.
-332266, -5, 1/12
What is z in -2*z**4 + 3480528*z**3 - 1514304641036*z**2 + 39370156056816*z - 255902191066418 = 0?
13, 870119
Determine b so that -995*b**2/4 - 122251*b/2 + 16482 = 0.
-246, 268/995
What is f in f**4/3 + 5387*f**3/3 + 76597*f**2 - 5387*f/3 - 229792/3 = 0?
-5344, -43, -1, 1
Let f**3/5 - 643096*f**2/5 + 20679009113*f - 124069424430 = 0. What is f?
6, 321545
Let 20*m**4 + 15812*m**3 + 927892*m**2 + 2287132*m - 1064328 = 0. Calculate m.
-727, -61, -3, 2/5
Find d, given that 2*d**5 + 1866*d**4 + 238982*d**3 - 741306*d**2 - 978424*d = 0.
-779, -157, -1, 0, 4
Find d such that -2*d**2/5 - 