235*u + 3628822 = 0.
1, 2, 1814411
Find g such that g**3/6 + 228*g**2 - 143840*g + 57321728/3 = 0.
-1864, 248
Factor -2*f**3/9 + 373562*f**2/3 - 52403667872*f/3 + 61298290370432/9.
-2*(f - 279976)**2*(f - 391)/9
Factor -2*g**2/9 - 6232*g/3 + 1223690/9.
-2*(g - 65)*(g + 9413)/9
Suppose 77294*a**2 - 541015*a - 301 = 0. Calculate a.
-43/77294, 7
Factor 23755788*x**3/5 - 213785208*x**2/5 - 151953*x/5 - 27/5.
3*(x - 9)*(2814*x + 1)**2/5
Find b, given that -b**4 + 4984*b**3 + 75106*b**2 - 604984*b + 524895 = 0.
-21, 1, 5, 4999
Find y such that -3*y**4 + 154182*y**3 - 2000797059*y**2 + 508534173504*y - 32635794557952 = 0.
129, 25568
Suppose 3*y**2/4 - 1932093*y/4 - 1932105 = 0. What is y?
-4, 644035
Determine c, given that 2*c**4 - 234426*c**3 + 12888836*c**2 - 170580480*c - 183703744 = 0.
-1, 28, 117158
Factor -2*k**2/3 + 5002090*k/9 + 555788/3.
-2*(k - 833682)*(3*k + 1)/9
Let -3*w**3 + 15156630*w**2 - 19143634569696*w + 38287208512896 = 0. Calculate w.
2, 2526104
Find x, given that x**2 - 59198*x - 5929800 = 0.
-100, 59298
Let u**3 + 89532*u**2 - 1790940*u + 8955200 = 0. Calculate u.
-89552, 10
Determine b, given that -3*b**4/8 - 1131*b**3/4 - 21069*b**2/2 - 216453*b/4 + 7942935/8 = 0.
-715, -23, 7
Find b such that -21*b**5/4 + 8097*b**4/4 - 389025*b**3/4 - 606165*b**2/4 + 837033*b/2 - 171738 = 0.
-3, 4/7, 1, 58, 329
Suppose 5*d**4 + 34330*d**3 + 58954660*d**2 + 235406840*d + 235269600 = 0. What is d?
-3522, -3340, -2
Let -2*d**5/13 - 47746*d**4/13 - 8546036*d**3/13 - 392293348*d**2/13 - 759139562*d/13 - 375344506/13 = 0. What is d?
-23693, -89, -1
Find j, given that 4*j**2 + 4470064*j - 40230900 = 0.
-1117525, 9
Factor 5*p**2 + 39100*p - 127720000.
5*(p - 2480)*(p + 10300)
Factor 2*q**3/3 + 2327098*q**2/3 + 13962426*q + 62830674.
2*(q + 9)**2*(q + 1163531)/3
Factor -s**3/6 + 148*s**2/3 - 15521*s/6 - 16117/3.
-(s - 227)*(s - 71)*(s + 2)/6
Suppose -3*q**5 - 13197*q**4/7 - 260118*q**3/7 + 433848*q**2/7 - 160512*q/7 = 0. Calculate q.
-608, -22, 0, 4/7, 1
Suppose 5*y**2 - 152952360*y + 1169721221478480 = 0. Calculate y.
15295236
Let 21*z**2/4 + 307143*z/8 - 21939/8 = 0. What is z?
-7313, 1/14
Factor -5*p**3 + 9665*p**2 - 579695*p - 589365.
-5*(p - 1871)*(p - 63)*(p + 1)
Suppose -2*p**5/5 + 194*p**4/5 + 66*p**3 - 13322*p**2/5 + 3544*p + 17640 = 0. Calculate p.
-9, -2, 5, 98
Let o**4/4 - 5395*o**3/4 + 104971*o**2 + 106320*o = 0. What is o?
-1, 0, 80, 5316
Suppose 2*p**4/5 + 120224*p**3 - 3005634*p**2/5 + 4809032*p/5 - 480904 = 0. Calculate p.
-300565, 1, 2
Find f such that -3*f**2 + 224103*f = 0.
0, 74701
Solve 1195605*s**5 - 9660478620*s**4 + 221506039085*s**3 - 210113373530*s**2 - 1729837460*s - 3545080 = 0.
-2/489, 1, 22, 8057
Factor -5*d**2 - 86856750*d - 377204751028125.
-5*(d + 8685675)**2
Determine p so that -p**3/3 - 8987*p**2/3 + 35044783*p - 71795450355 = 0.
-16265, 3639
Factor -186*q**2 - 5396972*q/13 + 8928/13.
-2*(q + 2232)*(1209*q - 2)/13
Factor -55*t**2 + 98355*t - 8342090.
-5*(t - 1699)*(11*t - 982)
Solve 27*j**4 - 1990806*j**3 - 14599652*j**2/3 - 1867976*j - 589888/3 = 0 for j.
-2, -2/9, 73736
Solve 2*h**4 + 6184*h**3 - 6245976*h**2 = 0.
-3894, 0, 802
Solve -4*p**2/7 - 75640*p/7 - 9496608 = 0 for p.
-17986, -924
Find c such that 2*c**5/7 - 152844*c**4/7 + 2921230286*c**3/7 - 40839005892*c**2/7 - 540062135488*c/7 + 577980063936/7 = 0.
-9, 1, 22, 38204
Suppose 3*t**2/7 - 95355*t + 1334958/7 = 0. Calculate t.
2, 222493
Suppose w**5/6 + 199*w**4/2 + 7191*w**3 + 464789*w**2/3 + 1058903*w/2 - 6369957/2 = 0. Calculate w.
-517, -37, -9, 3
Factor 5*k**4 + 45750*k**3 + 106601885*k**2 + 8915577000*k + 189883276880.
5*(k + 43)**2*(k + 4532)**2
What is z in -2*z**2/13 - 5096398*z/13 + 5096400/13 = 0?
-2548200, 1
Factor 10*i**3/9 - 74240386*i**2/9 - 29696156*i/9.
2*i*(i - 7424039)*(5*i + 2)/9
Find t such that 76*t**4 - 2644*t**3 - 25184*t**2 + 856656*t + 181440 = 0.
-18, -4/19, 18, 35
Let -2*p**2/3 + 268708*p/3 - 985182 = 0. What is p?
11, 134343
Find s such that -s**2 + 10504332*s - 42017312 = 0.
4, 10504328
Solve 64*r**4/5 - 4495776*r**3/5 - 11239772*r**2/5 - 4776924*r/5 - 561992/5 = 0 for r.
-2, -1/4, 70249
Solve 1474*a**2 - 757631*a - 2570 = 0.
-5/1474, 514
Determine x so that -17*x**2/2 - 225339*x - 106040 = 0.
-26510, -8/17
Let 2*s**5/7 - 928*s**4/7 + 96512*s**3/7 + 2954720*s**2/7 - 75616288*s/7 + 35606912 = 0. Calculate s.
-38, 4, 14, 242
Factor x**3 - 1077197*x**2 + 290087805603*x + 290088882801.
(x - 538599)**2*(x + 1)
Suppose 2*j**3/7 - 12548*j**2/7 + 659630*j/7 - 1269084/7 = 0. Calculate j.
2, 51, 6221
Solve -50*v**5/7 - 412770*v**4/7 - 859908942*v**3/7 - 4726895994*v**2 - 364949153424*v/7 - 820237131864/7 = 0.
-20541/5, -18, -3
Solve -4*s**2/5 + 67232*s/5 - 8473948/5 = 0.
127, 16681
Solve 5*p**2 + 557865*p + 6135910 = 0.
-111562, -11
Suppose -2*c**4 + 678*c**3 + 83584*c**2 - 1867080*c + 9654400 = 0. What is c?
-112, 10, 431
Factor 2*n**2/11 + 15287594*n/11 - 15287596/11.
2*(n - 1)*(n + 7643798)/11
Solve w**2 + 564*w - 5740 = 0 for w.
-574, 10
Factor -4*b**3 - 17386680*b**2 + 17386684*b.
-4*b*(b - 1)*(b + 4346671)
Determine i so that -15*i**4 - 801*i**3 - 6933*i**2 + 28413*i = 0.
-41, -77/5, 0, 3
Solve -5*n**2 - 455995*n + 25551400 = 0 for n.
-91255, 56
Let -11938*g**4/15 + 12526*g**3/15 + 47164*g**2/15 - 50104*g/15 + 784/5 = 0. Calculate g.
-2, 294/5969, 1, 2
Let 2*h**3/5 + 4262*h**2/5 - 4276*h/5 - 25584/5 = 0. What is h?
-2132, -2, 3
Solve 5*r**3 + 467420*r**2 + 10748125*r + 10280710 = 0 for r.
-93461, -22, -1
Let -529*l**5/2 - 80853901*l**4 - 6179046702260*l**3 - 11283179462056*l**2 + 2102459704024*l - 93442707856 = 0. Calculate l.
-152842, -2, 2/23
Determine s so that -4*s**2 + 2366971248*s - 350159555553667344 = 0.
295871406
Solve -p**4 - 20427*p**3 - 417221473*p**2/4 + 104320689*p - 26081449 = 0.
-10214, 1/2
Suppose -o**2/2 + 2638315*o - 10553252 = 0. What is o?
4, 5276626
Find y, given that -5*y**4 + 848790*y**3 + 1697635*y**2 - 5941620*y + 3395200 = 0.
-4, 1, 169760
Factor s**2/11 + 297801134*s/11 + 22171378852921489/11.
(s + 148900567)**2/11
Let -3*g**4 + 9771*g**3 - 8182173*g**2 + 367996005*g - 3833125200 = 0. What is g?
16, 31, 1605
Find w such that -6*w**4 + 33152*w**3/9 + 1687256*w**2/9 + 6905216*w/3 + 169472 = 0.
-24, -2/27, 662
Let -5*d**5 + 6620*d**4 - 1736550*d**3 + 10083700*d**2 + 25403555*d + 13576680 = 0. What is d?
-1, 8, 351, 967
Suppose d**3 - 25713*d**2 - 25716*d + 51428 = 0. What is d?
-2, 1, 25714
Let 3*o**2 + 63945*o - 246203550 = 0. Calculate o.
-24645, 3330
Factor m**3/7 - 12992*m**2 + 272819*m/7 + 363764/7.
(m - 90941)*(m - 4)*(m + 1)/7
Factor -s**3/4 - 2727*s**2/4 + 9563*s/2 - 8202.
-(s - 4)*(s - 3)*(s + 2734)/4
Let -n**5/3 + 34*n**4 + 14869*n**3/3 + 81866*n**2 - 86856*n = 0. What is n?
-66, -21, 0, 1, 188
Factor 3*x**2 - 150378*x + 451107.
3*(x - 50123)*(x - 3)
Suppose -2*m**5 + 189138*m**4 - 4472120660*m**3 + 22353227448*m**2 + 62596450672*m = 0. What is m?
-2, 0, 7, 47282
What is o in 2*o**2/3 - 3392*o/3 + 477082 = 0?
789, 907
Let -2*g**3/9 + 4460*g**2/9 - 767414*g/9 - 85764 = 0. What is g?
-1, 189, 2042
Let 2*u**5/13 - 16962*u**4/13 + 1798072*u**3/13 - 50562104*u**2/13 + 10719552*u - 6967168 = 0. What is u?
1, 2, 52, 8374
Factor r**3/4 + 1125*r**2/4 + 218231*r/4 + 644595/4.
(r + 3)*(r + 245)*(r + 877)/4
Factor 4*d**2 + 742536*d - 1485088.
4*(d - 2)*(d + 185636)
Suppose 4*j**2 - 1373796*j - 1373800 = 0. What is j?
-1, 343450
Determine o so that 3*o**4 - 46641*o**3 + 181631340*o**2 - 2716034244*o + 7961019792 = 0.
4, 11, 7766
Factor 916793405*v**3 - 1864460290*v**2 + 62006880*v - 519840.
5*(v - 2)*(13541*v - 228)**2
Factor -4*y**4 + 20373532*y**3 + 101867760*y**2.
-4*y**2*(y - 5093388)*(y + 5)
Solve 4*r**2 + 12561*r + 199952 = 0.
-12497/4, -16
Factor -3*r**4 + 218070*r**3 + 1526637*r**2.
-3*r**2*(r - 72697)*(r + 7)
Let -4*b**5 + 585028*b**4 - 12284176*b**3 + 51475600*b**2 - 77212864*b + 37436416 = 0. Calculate b.
1, 2, 16, 146236
Find c, given that c**5/2 - 3*c**4/2 - 18113*c**3/2 - 834453*c**2/2 + 3309626*c - 2883342 = 0.
-79, 1, 6, 154
Factor -3*u**4/2 + 32868*u**3 + 1713192*u**2.
-3*u**2*(u - 21964)*(u + 52)/2
Find o, given that -o**2/5 - 14042*o + 1547040 = 0.
-70320, 110
Solve 2*z**2 + 1329544*z + 15954240 = 0 for z.
-664760, -12
Factor 2*h**2/9 + 7814344*h/9 + 7632996518792/9.
2*(h + 1953586)**2/9