 0.
-12, -1, 10465
Suppose -1944*q**5 - 2664*q**4 + 903*q**3/2 + 1119*q**2 - 105*q/2 = 0. What is q?
-1, 0, 5/108, 7/12
Factor -5*t**3 - 16850285*t**2 - 303303510*t.
-5*t*(t + 18)*(t + 3370039)
Factor -5*j**2/4 - 945*j/4 + 1677175/2.
-5*(j - 730)*(j + 919)/4
Let -4*g**3 - 3061064*g**2 + 3061076*g + 6122136 = 0. Calculate g.
-765267, -1, 2
Find k such that k**3 - 10782*k**2 + 461999*k - 2384058 = 0.
6, 37, 10739
Factor 5*y**3 + 329875*y**2 - 5278960*y + 21117120.
5*(y - 8)**2*(y + 65991)
Find u such that -u**3/6 + 43928*u**2/3 - 2020249*u/6 + 1317495 = 0.
5, 18, 87833
Factor -g**5 - 2633822*g**4 - 1734251948097*g**3 + 3468511797664*g**2 - 1734257215744*g.
-g*(g - 1)**2*(g + 1316912)**2
Factor -n**3/2 + 3583*n**2/2 + 16169*n - 17960.
-(n - 3592)*(n - 1)*(n + 10)/2
Suppose l**5 - 1292*l**4/5 + 96541*l**3/5 - 333818*l**2 + 652272*l/5 = 0. Calculate l.
0, 2/5, 24, 107, 127
Factor -3*b**2/7 + 369*b/7 + 38964/7.
-3*(b - 191)*(b + 68)/7
Suppose 3*u**3 - 54183*u**2 + 1567896*u + 16012416 = 0. Calculate u.
-8, 37, 18032
Suppose j**3 - 16671*j**2 + 92623419*j - 171506129949 = 0. Calculate j.
5481, 5709
Factor -3*t**3 - 170013*t**2 + 2550708*t - 9183132.
-3*(t - 9)*(t - 6)*(t + 56686)
Let -110*j**5 + 181362*j**4 + 46172*j**3 = 0. What is j?
-14/55, 0, 1649
Let -4*o**2/3 + 2738614*o/3 + 456436 = 0. What is o?
-1/2, 684654
Solve v**2 - 37552418*v + 352546024411681 = 0 for v.
18776209
Factor n**2/2 + 173620*n - 1736225/2.
(n - 5)*(n + 347245)/2
What is q in -q**4 + 81290*q**3 + 4*q**2 - 325160*q = 0?
-2, 0, 2, 81290
Suppose w**2 + 1200105*w - 86412744 = 0. Calculate w.
-1200177, 72
Factor -2*x**4/7 - 5104*x**3/7 - 4537728*x**2/7 - 1556427776*x/7 - 135043612672/7.
-2*(x + 128)*(x + 808)**3/7
Solve -12786*a**3/7 + 116908*a**2 - 13096192*a/7 + 53248/7 = 0.
26/6393, 32
Factor 5*u**2 + 86215*u - 5017290.
5*(u - 58)*(u + 17301)
Solve u**4 + 166975*u**3 - u**2 - 166975*u = 0 for u.
-166975, -1, 0, 1
Suppose 15*z**3/4 + 15969*z**2 - 6444597*z/4 - 1294029/2 = 0. Calculate z.
-4357, -2/5, 99
Factor -3*k**2 + 5514*k + 300669.
-3*(k - 1891)*(k + 53)
Factor b**2/3 - 327076*b/3 + 327073.
(b - 327073)*(b - 3)/3
Find i, given that -52*i**4/7 + 86704*i**3/7 - 1996308*i**2/7 - 4600584*i/7 + 6510240/7 = 0.
-3, 1, 330/13, 1644
Let -2*i**2/11 + 80129344*i/11 - 802588971233792/11 = 0. Calculate i.
20032336
Factor -2*m**2 - 91796*m - 4951152.
-2*(m + 54)*(m + 45844)
Factor -u**2/4 + 52986*u + 953829.
-(u - 211962)*(u + 18)/4
Solve 375*d**5 + 1101975*d**4 + 24779520*d**3 + 193879008*d**2 + 578347776*d + 408146688 = 0.
-2916, -36/5, -1
Solve 4*w**5 + 106068*w**4 + 703098188*w**3 - 704901412*w**2 - 11249572032*w + 11251269184 = 0 for w.
-13259, -4, 1, 4
Factor 2*f**3/7 - 664844*f**2/7 + 44535570*f/7.
2*f*(f - 332355)*(f - 67)/7
Let -2*k**3/13 + 14110*k**2/13 - 14084*k/13 - 169296/13 = 0. What is k?
-3, 4, 7054
Suppose -5*s**4/4 + 1595*s**3/4 - 32585*s**2 + 235800*s = 0. What is s?
0, 8, 131, 180
Suppose -5*h**2 - 412391650*h - 8503343649486125 = 0. Calculate h.
-41239165
Factor 2*r**3/9 + 284*r**2/9 - 9014*r/3 - 3036.
2*(r - 66)*(r + 1)*(r + 207)/9
Factor -l**3/3 + 25238144*l**2/3 + 50476291*l/3 + 25238146/3.
-(l - 25238146)*(l + 1)**2/3
Let 148*b**2 - 402800*b + 250332 = 0. What is b?
23/37, 2721
Factor 1508*q**2/3 - 1564*q/3 - 1024.
4*(q + 1)*(377*q - 768)/3
Determine m so that -2396*m**3/3 + 275546*m**2/3 - 542186*m/3 + 452 = 0.
3/1198, 2, 113
Find f, given that 625*f**5/2 + 238124*f**4 + 949101*f**3/2 + 235979*f**2 - 760*f = 0.
-760, -1, 0, 2/625
Let -3*g**2 + 9333342*g - 7259272740747 = 0. Calculate g.
1555557
What is q in -q**3/4 - 4546445*q**2/4 + q/4 + 4546445/4 = 0?
-4546445, -1, 1
Let -u**3 + 115143480*u**2 - 3314505246627600*u = 0. Calculate u.
0, 57571740
Factor -50*c**2 - 1228095*c + 122810.
-5*(c + 24562)*(10*c - 1)
Let 2*b**5 - 1114*b**4 + 154702*b**3 + 1114*b**2 - 154704*b = 0. What is b?
-1, 0, 1, 264, 293
Factor -o**2/11 + 836582*o/11 - 5019456/11.
-(o - 836576)*(o - 6)/11
Factor -3*q**2 - 4884132*q + 9768276.
-3*(q - 2)*(q + 1628046)
Factor -4*a**3/9 - 17764796*a**2/9 - 17764792*a/9.
-4*a*(a + 1)*(a + 4441198)/9
Factor m**2/4 - 21602249*m + 466657161858001.
(m - 43204498)**2/4
Factor -1346805*t**3 + 247848450*t**2 - 6684965*t + 45080.
-5*(t - 184)*(519*t - 7)**2
What is p in -9866*p**3/5 + 3176876*p**2/5 - 7728*p/5 = 0?
0, 12/4933, 322
Determine b, given that 4*b**5/7 + 21568*b**4/7 + 30010552*b**3/7 + 2480372224*b**2/7 - 65577140156*b/7 + 54423290944 = 0.
-2651, -112, 11
Let 5*w**5 - 1815*w**4 - 3380*w**3 + 578460*w**2 - 3880800*w + 5503680 = 0. Calculate w.
-21, 2, 6, 12, 364
Factor o**2/2 - 134421*o/2 + 16302627.
(o - 134178)*(o - 243)/2
Find v such that 3*v**2 + 3819*v + 981036 = 0.
-916, -357
Factor -f**4/4 - 2018247*f**3/4 - 1357769614485*f**2/4 - 304474857511236733*f/4 + 913449012604742253/2.
-(f - 6)*(f + 672751)**3/4
Factor 3*y**3 - 176685*y**2 - 3004386*y - 7422912.
3*(y - 58912)*(y + 3)*(y + 14)
Solve -i**2/5 + 138*i/5 + 6903/5 = 0 for i.
-39, 177
Factor r**2/4 + 5679421*r/2 - 11358843/4.
(r - 1)*(r + 11358843)/4
Solve 3*t**2 - 21801*t/2 + 6589515 = 0 for t.
766, 5735/2
Solve 5*u**2 + 54420255*u + 54420250 = 0.
-10884050, -1
Let 3*u**5/2 + 26607*u**4/2 + 701517*u**3 + 5686320*u**2 = 0. What is u?
-8816, -43, -10, 0
Let -5*a**3 - 70160*a**2 - 910395*a + 11775960 = 0. Calculate a.
-14019, -21, 8
Determine b so that -879844*b**3 - 447968164*b**2 - 64936736*b - 2353616 = 0.
-509, -34/469
Let -j**2/5 + 224126*j - 62790579845 = 0. What is j?
560315
Find p, given that 3*p**2 + 491901*p + 52107798 = 0.
-163861, -106
Factor 2662*p**2 + 210*p/11.
2*p*(14641*p + 105)/11
Factor -3*o**2/7 - 1106488902*o/7 - 102026474187430467/7.
-3*(o + 184414817)**2/7
Factor 2*t**2/3 - 89200*t/3 - 89206.
2*(t - 44603)*(t + 3)/3
Find q such that 3*q**4 + 1791429*q**3 - 27*q**2 - 16122861*q = 0.
-597143, -3, 0, 3
Find g such that -2*g**2/7 + 2236*g/7 + 9500038/7 = 0.
-1691, 2809
Let -5*p**3/3 + 10930*p**2 - 13293300*p - 16049638440 = 0. What is p?
-726, 3642
Solve l**2/3 - 3*l - 13260 = 0.
-195, 204
Factor 75*q**2/4 + 247053*q + 39528.
3*(q + 13176)*(25*q + 4)/4
Solve -4*x**5 - 1687*x**4 - 26446*x**3 + 278877*x**2 - 68040*x = 0 for x.
-405, -24, 0, 1/4, 7
Suppose -4*s**2/7 + 5395660*s/7 + 43165536/7 = 0. Calculate s.
-8, 1348923
Solve 5*a**2 + 8000*a + 2824620 = 0 for a.
-1074, -526
Factor -2*n**4 - 22574*n**3 - 1011780*n**2.
-2*n**2*(n + 45)*(n + 11242)
Solve 3*y**5 + 603*y**4 + 10059*y**3 - 1449999*y**2 - 1459458*y = 0.
-162, -77, -1, 0, 39
Factor -2*o**2/5 - 204268988*o/5 - 5215727432318018/5.
-2*(o + 51067247)**2/5
Factor 5*h**2 - 417365*h + 4590410.
5*(h - 83462)*(h - 11)
Let 5*u**4 + 186560*u**3 + 1757864630*u**2 + 328960315200*u + 15546046285125 = 0. Calculate u.
-18561, -95
Let 4*q**3 + 760*q**2 - 126592*q - 24105472 = 0. Calculate q.
-184, 178
Factor 2*m**2/3 - 78514*m/3 - 14118088/3.
2*(m - 39436)*(m + 179)/3
Factor -2*b**3/5 + 3674*b**2 - 29995128*b/5.
-2*b*(b - 7061)*(b - 2124)/5
Let -4*q**5 + 2860*q**4 + 31999*q**3 - 39844*q**2 - 62412*q - 17424 = 0. What is q?
-12, -1/2, 2, 726
Solve 2*w**5/7 - 1580*w**4/7 + 292314*w**3/7 + 7879520*w**2/7 + 14577112*w/7 = 0.
-22, -2, 0, 407
Solve l**5 - 6423*l**4 + 13732298*l**3 - 9731148608*l**2 - 89002002432*l + 216818843648 = 0 for l.
-11, 2, 2144
Let 2*s**3/13 + 685162*s**2/13 + 1370316*s/13 = 0. What is s?
-342579, -2, 0
Let y**5/2 + 5309*y**4/2 + 68889*y**3/2 + 217183*y**2/2 + 124465*y + 47664 = 0. What is y?
-5296, -9, -2, -1
Let -5*d**2 - 31349520*d - 49139620211520 = 0. What is d?
-3134952
Factor -o**3/4 + 6131*o**2 - 61524229*o/4 + 20415235773/2.
-(o - 21786)*(o - 1369)**2/4
What is a in -2*a**4/3 + 3038*a**3/3 - 1520794*a**2/3 + 249710890*a/3 + 83744908 = 0?
-1, 402, 559
Suppose 3*v**4 + 183078*v**3 - 5494140*v**2 + 54947400*v - 183168000 = 0. Calculate v.
-61056, 10
Factor -5*w**2 + 515805010*w - 13302740417055005.
-5*(w - 51580501)**2
What is p in -3*p**3 + 660*p**2 + 145917*p + 289170 = 0?
-135, -2, 357
Factor -3*d**3/7 - 1641*d**2 - 1758777*d/7 - 68732133/7.
-3*(d + 79)**2*(d + 3671)/7
Find d, given that -11631*d**2/2 - 1977279*d/4 - 765/4 = 0.
-85, -3/7754
Determine m, given that 4*m**5 + 14572*m**4/5 - 1740572*m**3/5 - 1055404*m**2/5 + 139944*m = 0.
-833, -1, 0, 2/5, 105
Find o, given that -o**4/5 - 5741*o**3/5 - 41