-1, 10/261
Factor -3*i**2/8 + 3033*i/4 - 66363/8.
-3*(i - 2011)*(i - 11)/8
Factor -4*f**2/5 + 147736*f/5 - 147732/5.
-4*(f - 36933)*(f - 1)/5
Let -2*u**2/11 + 3008*u/11 + 3010/11 = 0. Calculate u.
-1, 1505
Solve 2*q**4/3 + 5384*q**3/3 - 7186*q**2 + 26956*q/3 - 10784/3 = 0 for q.
-2696, 1, 2
Solve -i**4/2 + 2037*i**3 - 120870*i**2 + 1806300*i = 0.
0, 30, 4014
Solve 2*l**3/3 - 3418*l**2/3 - 10268*l/3 - 6848/3 = 0 for l.
-2, -1, 1712
Find n such that 3*n**5 - 4434*n**4 + 1629471*n**3 + 6571188*n**2 + 6588972*n = 0.
-2, 0, 741
Let 5*h**3/2 + 3720*h**2 - 7445*h/2 = 0. What is h?
-1489, 0, 1
Determine m so that m**3/2 + 73222*m**2 - 292891*m/2 + 73223 = 0.
-146446, 1
Find r such that -10455*r**2/2 + 386841*r - 444 = 0.
4/3485, 74
Solve 4*t**5 - 2950*t**4 - 10362*t**3 - 8894*t**2 + 1478*t + 2964 = 0 for t.
-2, -1, 1/2, 741
Find j, given that 10*j**3 - 953*j**2/2 + 147*j/2 + 2133 = 0.
-2, 9/4, 237/5
Determine m, given that 3*m**4/7 + 1173*m**3/7 - 1707*m**2 + 32427*m/7 - 21654/7 = 0.
-401, 1, 3, 6
Factor -2*h**2/3 - 280*h - 10582/3.
-2*(h + 13)*(h + 407)/3
Factor -4*f**2 + 3967280*f - 983706912400.
-4*(f - 495910)**2
Factor 2*r**3/15 - 14534*r**2/15 + 5810*r - 43566/5.
2*(r - 7261)*(r - 3)**2/15
Determine h, given that h**5/3 - 20*h**4/3 + 89*h**3/3 - 70*h**2/3 = 0.
0, 1, 5, 14
Factor 2*o**3/13 - 40242*o**2/13 + 804240*o/13 - 4020200/13.
2*(o - 20101)*(o - 10)**2/13
Suppose -4*b**5/5 - 8076*b**4/5 - 4096508*b**3/5 - 20345444*b**2/5 - 32481792*b/5 - 16224784/5 = 0. Calculate b.
-1007, -2, -1
Determine b, given that -2*b**5/9 - 262*b**4/9 + 22658*b**3/9 - 352754*b**2/9 - 406912*b/3 - 93896 = 0.
-194, -2, -1, 33
Suppose q**4 + 26963*q**3 - 80896*q**2 + 53932*q = 0. Calculate q.
-26966, 0, 1, 2
Suppose -3*w**2 + 13383*w - 26754 = 0. What is w?
2, 4459
Factor 2*n**2/3 - 856*n/3 - 9658/3.
2*(n - 439)*(n + 11)/3
What is c in -4*c**2/7 + 17324*c/7 - 138336/7 = 0?
8, 4323
Factor 2*f**2/3 + 97126*f + 1456840/3.
2*(f + 5)*(f + 145684)/3
Find s, given that -267*s**3/2 + 9346*s**2 + 18817*s/2 - 71 = 0.
-1, 2/267, 71
Solve b**3/4 - 2703*b**2/4 + 1827903*b/4 - 1825201/4 = 0 for b.
1, 1351
Factor j**4/4 + 113*j**3/4 + 521*j**2/2 + 291*j - 1854.
(j - 2)*(j + 6)**2*(j + 103)/4
Let 2*r**2 - 220900*r + 6099601250 = 0. What is r?
55225
Let -2*h**5/7 + 4*h**4/7 + 72*h**3/7 - 44*h**2/7 - 710*h/7 - 600/7 = 0. Calculate h.
-4, -3, -1, 5
Factor -74*i**2/3 + 158*i/3 + 204.
-2*(i + 2)*(37*i - 153)/3
Factor -2*r**3 + 664*r**2 + 21720*r.
-2*r*(r - 362)*(r + 30)
Let 5*i**3/2 - 21503*i**2/4 + 6985*i - 6447/4 = 0. What is i?
3/10, 1, 2149
Factor 2*r**3 + 117688*r**2 + 588378*r - 706068.
2*(r - 1)*(r + 6)*(r + 58839)
Find r, given that 2*r**3/5 + 38*r**2/5 - 18*r - 126/5 = 0.
-21, -1, 3
Factor 5*z**4 + 5*z**3 - 250*z**2 + 240*z.
5*z*(z - 6)*(z - 1)*(z + 8)
Determine v so that -4*v**2 + 15270136*v - 14573565841156 = 0.
1908767
Solve t**3 + 489*t**2 + 48710*t + 95472 = 0 for t.
-351, -136, -2
What is l in 10*l**4 - 29478*l**3 - 301804*l**2 + 260304*l = 0?
-11, 0, 4/5, 2958
What is q in 4*q**2/7 - 374952*q/7 + 8786812644/7 = 0?
46869
Factor 2*z**5/9 - 3764*z**4/9.
2*z**4*(z - 1882)/9
Suppose -2*z**3/5 + 2018*z**2/5 + 16624*z + 167840 = 0. What is z?
-20, 1049
Let -3*b**4/7 + 60*b**3/7 + 4419*b**2/7 + 4224*b/7 - 8700/7 = 0. What is b?
-29, -2, 1, 50
Factor 2*i**2/11 + 716*i/11 - 330.
2*(i - 5)*(i + 363)/11
Suppose 3*m**2 + 3529866*m + 1038329498163 = 0. What is m?
-588311
Factor 2*q**2 + 44900*q + 252001250.
2*(q + 11225)**2
Factor z**2/2 + 404181*z + 163362280761/2.
(z + 404181)**2/2
Let -t**4 - 2*t**3 + 16*t**2 + 32*t = 0. Calculate t.
-4, -2, 0, 4
Suppose 5*w**3 - 3325*w**2 + 573760*w - 6907940 = 0. Calculate w.
13, 326
Find o, given that 3*o**3 + 237*o**2 - 2052*o + 3132 = 0.
-87, 2, 6
Solve 3*c**3 + 11633*c**2 - 3880*c - 7756 = 0 for c.
-3878, -2/3, 1
Factor -r**2/4 + 579*r - 1157.
-(r - 2314)*(r - 2)/4
Factor 2*u**2/9 - 92*u/3 + 176.
2*(u - 132)*(u - 6)/9
Solve 4*z**2 - 75352*z - 527660 = 0 for z.
-7, 18845
Factor 2*t**4/13 + 17986*t**3/13 - 794288*t**2/13 + 8747816*t/13.
2*t*(t - 22)**2*(t + 9037)/13
Let -3*t**2 + 31974*t - 63936 = 0. What is t?
2, 10656
Factor g**2/7 + 14900*g/7 + 55502500/7.
(g + 7450)**2/7
Factor 2*z**3 + 2268*z**2 + 824448*z + 93979840.
2*(z + 230)*(z + 452)**2
Let -2*d**4/19 + 4094*d**3/19 + 4106*d**2/19 - 20486*d/19 + 12288/19 = 0. Calculate d.
-3, 1, 2048
Factor 2*m**4/7 - 64*m**3/7 + 468*m**2/7 - 1296*m/7 + 1242/7.
2*(m - 23)*(m - 3)**3/7
Factor 10*j**3 - 373135*j**2 + 186565*j.
5*j*(j - 37313)*(2*j - 1)
Factor 1171277624406*w**4 + 1171479534012*w**3 + 201921208*w**2 + 104420*w/9 + 2/9.
2*(w + 1)*(17403*w + 1)**3/9
Determine u, given that -4*u**4/5 - 45432*u**3/5 = 0.
-11358, 0
Let -2*c**2/9 - 1185112*c/9 - 175561306568/9 = 0. Calculate c.
-296278
Find n such that 2*n**5/9 - 682*n**4/9 - 1370*n**3/9 - 686*n**2/9 = 0.
-1, 0, 343
What is h in 2*h**5/17 + 700*h**4/17 + 3800*h**3 + 34000*h**2 = 0?
-170, -10, 0
Factor p**3/6 + 45511*p**2/3 + 345223690*p + 690386700.
(p + 2)*(p + 45510)**2/6
Suppose -3*y**4 + 57*y**3 - 351*y**2 + 783*y - 486 = 0. What is y?
1, 3, 6, 9
Solve -5*p**3/4 + 39180*p**2 + 313455*p/4 + 78365/2 = 0 for p.
-1, 31346
Factor x**2/8 + 106393*x/4 + 11319470449/8.
(x + 106393)**2/8
Find g such that 4*g**4/9 - 4*g**3/9 - 8*g**2/3 + 16*g/9 + 32/9 = 0.
-2, -1, 2
Solve -4*u**4 - 5465*u**3 + 37030*u**2 - 56305*u - 16476 = 0 for u.
-1373, -1/4, 3, 4
Determine u, given that -292*u**3 + 11216*u**2 - 25584*u + 8640 = 0.
30/73, 2, 36
Factor -3*g**2 + 375096*g - 11724750768.
-3*(g - 62516)**2
Factor 3*p**4/5 + 96*p**3/5 - 117*p**2/5 - 594*p/5.
3*p*(p - 3)*(p + 2)*(p + 33)/5
Factor -4*y**3 + 592*y**2.
-4*y**2*(y - 148)
Solve 2*k**3/23 + 236*k**2/23 + 4698*k/23 + 4464/23 = 0 for k.
-93, -24, -1
Solve 2*x**3/9 - 258094*x**2/9 + 2775478352*x/3 + 925188128 = 0.
-1, 64524
Factor w**3/7 + 430*w**2/7 + 6688*w/7 + 26496/7.
(w + 8)**2*(w + 414)/7
Factor v**3/2 + 55*v**2/2 - 1121*v/2 + 1065/2.
(v - 15)*(v - 1)*(v + 71)/2
Factor m**2/7 + 27182*m/7 - 27183/7.
(m - 1)*(m + 27183)/7
Factor -4*z**4 - 120*z**3 + 68796*z**2.
-4*z**2*(z - 117)*(z + 147)
Factor -2*s**2 + 1090*s - 2172.
-2*(s - 543)*(s - 2)
Factor -2*y**3/7 - 78*y**2/7 - 414*y/7 - 594/7.
-2*(y + 3)**2*(y + 33)/7
Suppose 2*y**4 + 150*y**3 + 2916*y**2 + 5248*y = 0. What is y?
-41, -32, -2, 0
Factor -5*h**4 + 215*h**3 - 280*h**2 - 50960*h.
-5*h*(h - 28)**2*(h + 13)
Find p, given that 4*p**4 + 956*p**3 - 12*p**2 - 2860*p + 1912 = 0.
-239, -2, 1
Factor -o**3 - 95*o**2 + 2625*o + 309375.
-(o - 55)*(o + 75)**2
Factor -4*k**3 - 12608*k**2 - 9935104*k.
-4*k*(k + 1576)**2
Factor 3*r**2 - 100821*r - 201654.
3*(r - 33609)*(r + 2)
Factor u**4 + 438*u**3 + 46161*u**2 - 397832*u.
u*(u - 8)*(u + 223)**2
Determine f, given that -23*f**4 + 68*f**3 + 509*f**2 - 530*f - 24 = 0.
-4, -1/23, 1, 6
Let 2*v**5/3 - 52*v**4/3 + 102*v**3 + 352*v**2/3 - 1928*v/3 - 640 = 0. Calculate v.
-2, -1, 3, 10, 16
Solve 4*b**3 - 444*b**2 + 8732*b + 9180 = 0 for b.
-1, 27, 85
Factor 2*j**3/7 + 4092*j**2/7 + 2113368*j/7 + 20726480/7.
2*(j + 10)*(j + 1018)**2/7
Solve 245*z**3 - 645*z**2 - 270*z = 0 for z.
-18/49, 0, 3
Factor -y**2/5 + 188*y - 939/5.
-(y - 939)*(y - 1)/5
Suppose r**2/6 + 41*r/6 - 75 = 0. What is r?
-50, 9
Factor -q**4/5 - 951*q**3/5 - 151707*q**2/5 - 1760033*q - 174321408/5.
-(q + 61)**3*(q + 768)/5
Factor b**3 - 153*b**2 - 628*b.
b*(b - 157)*(b + 4)
Factor -x**4 - 380*x**3 - 41968*x**2 - 1065024*x.
-x*(x + 36)*(x + 172)**2
Factor s**2 - 14159*s - 14160.
(s - 14160)*(s + 1)
Factor i**2 + 31708*i.
i*(i + 31708)
Factor -4*n**3/7 - 20000*n**2/7 - 3574284*n - 7137144.
-4*(n + 2)*(n + 2499)**2/7
Solve -j**2 - 8528*j - 93687 = 0 for j.
-8517, -11
Factor -4*y**3 + 296468*y**2 + 296472*y.
-4*y*(y - 74118)*(y + 1)
Factor z**3/3 + 16*z**2 + 464*z/3 + 384.
(z + 4)*(z + 8)*(z + 36)/3
Factor -k**3 + 4135*k**2 - 4013408*k - 547934464.
-(k - 2128)**2*(k + 121)
Factor -2*v**3/13 + 160*v**2 + 2082*v/13.
-2*v*(v - 1041)*(v + 1)/13
Determine x, given that -3*x**2 - 169416*x - 169413 = 0.
-56471, -1
Suppose 5*u**3 - 275*u**2 - 1790*u - 2440 = 0. What is u?
-4, -2, 61
Factor -3*v**2 + 328608*v - 8998601472.
-3*(v - 54768)**2
Factor 4*u**2/5 - 201248*u/5 + 2531297344/5.
4*(u - 25156)**2/5
Find v such that 41036836*v**3 + 82022424*v**2 - 102480*v + 32 = 