4332*o**2 = 0. Calculate o.
-1083, 0, 5
Factor -3*m**2 + 963*m - 11124.
-3*(m - 309)*(m - 12)
Find l such that -2*l**5/13 + 184*l**4/13 - 3942*l**3/13 + 28944*l**2/13 - 4320*l = 0.
0, 3, 12, 65
Factor 2*n**4/3 + 5942*n**3/3 + 4392550*n**2/3 - 31039694*n/3.
2*n*(n - 7)*(n + 1489)**2/3
Determine t, given that 4*t**3/3 + 2204*t**2/3 + 306880*t/3 + 300304 = 0.
-274, -3
Factor -2*h**2 - 1402364*h - 245828098562.
-2*(h + 350591)**2
Suppose -5*d**2 - 4810*d - 744960 = 0. What is d?
-768, -194
Let f**2/4 + 1132693*f/2 + 1282993432249/4 = 0. What is f?
-1132693
Factor 2*d**2 - 7186*d - 7188.
2*(d - 3594)*(d + 1)
Suppose -2*l**3 - 72*l**2 - 408*l + 2912 = 0. What is l?
-26, -14, 4
Let -n**3/2 + 66749*n**2/2 - 33373*n - 66748 = 0. Calculate n.
-1, 2, 66748
Solve -28*p**3/5 + 209764*p**2/5 - 329536*p/5 - 35952 = 0.
-3/7, 2, 7490
Find i such that -4*i**5/5 - 105*i**4 - 128*i**3 + 261*i**2 + 644*i/5 - 156 = 0.
-130, -2, -1, 3/4, 1
Find p such that 2*p**4 - 26*p**3 - 128*p**2 - 136*p = 0.
-2, 0, 17
Determine d so that d**2/3 - 337*d/3 + 9212 = 0.
141, 196
Solve 432*m**5/5 + 175896*m**4/5 - 65073*m**3 - 117591*m**2 - 90807*m/5 - 3681/5 = 0.
-409, -1, -1/12, 3
Let 2*k**4 - 2580*k**3 - 23330*k**2 - 67500*k - 62352 = 0. Calculate k.
-4, -3, -2, 1299
Find v such that -2*v**2 - 9530*v - 9528 = 0.
-4764, -1
Factor -2*s**5 - 7822*s**4 - 31268*s**3 - 46892*s**2 - 31258*s - 7814.
-2*(s + 1)**4*(s + 3907)
Factor -a**2/4 - 41251*a/4 + 41253/2.
-(a - 2)*(a + 41253)/4
Factor -3*d**2 - 125361*d + 250734.
-3*(d - 2)*(d + 41789)
Let -3*x**5 - 4224*x**4 - 21072*x**3 - 37902*x**2 - 29469*x - 8418 = 0. Calculate x.
-1403, -2, -1
Suppose -g**5/4 - 6819*g**4/4 - 11607631*g**3/4 + 58160955*g**2/4 - 20367934*g + 8731308 = 0. Calculate g.
-3412, 1, 3
Factor 2*b**3/3 + 130*b**2/3.
2*b**2*(b + 65)/3
What is j in -2*j**2/3 - 18*j + 11648/3 = 0?
-91, 64
Suppose -2*p**3/15 - 7082*p**2/15 - 28286*p/15 + 2358 = 0. What is p?
-3537, -5, 1
Suppose 50*l**5/19 - 17610*l**4/19 + 886278*l**3/19 + 6757118*l**2 - 155004288*l/19 + 46594728/19 = 0. What is l?
-61, 3/5, 206
Factor 6*s**2/5 - 21854*s/5 + 7284/5.
2*(s - 3642)*(3*s - 1)/5
Factor 5*d**2 + 1355935*d + 1355930.
5*(d + 1)*(d + 271186)
Let r**4/3 + 19520*r**3/3 + 273097*r**2/3 + 84526*r = 0. Calculate r.
-19506, -13, -1, 0
Suppose -j**3 - 4427*j**2 - 4426*j = 0. Calculate j.
-4426, -1, 0
Suppose -5*l**5 + 2795*l**4 + 15*l**3 - 8395*l**2 + 5590*l = 0. What is l?
-2, 0, 1, 559
Factor 2*b**3/15 - 1258*b**2/5 + 592832*b/5 + 1782272/15.
2*(b - 944)**2*(b + 1)/15
Determine k, given that 25*k**5 - 87880*k**4 - 246191*k**3 - 242714*k**2 - 98500*k - 14072 = 0.
-1, -2/5, 3518
Factor -4*n**2/7 + 1952*n + 41028/7.
-4*(n - 3419)*(n + 3)/7
Factor -3*j**3 - 2076*j**2 - 359148*j.
-3*j*(j + 346)**2
Find j such that 2*j**3 + 434*j**2 + 4552*j + 4120 = 0.
-206, -10, -1
Factor -20*t**3 + 2088*t**2 - 42412*t + 16632.
-4*(t - 77)*(t - 27)*(5*t - 2)
What is w in -6*w**5 - 129*w**4 - 168*w**3 + 249*w**2 + 174*w - 120 = 0?
-20, -2, -1, 1/2, 1
Factor 2*y**3 - 14364*y**2 + 372450*y - 2418728.
2*(y - 7156)*(y - 13)**2
Solve -4*u**2/3 + 16740*u - 50216/3 = 0 for u.
1, 12554
Factor -5*c**5/4 + 725*c**4/2 - 720*c**3.
-5*c**3*(c - 288)*(c - 2)/4
Factor 2*p**4 - 326*p**3 + 13986*p**2 + 119070*p - 13002444.
2*(p - 63)**3*(p + 26)
Determine l so that -l**5/2 + 102*l**4 - 10581*l**3/2 + 7777*l**2 + 122412*l = 0.
-4, 0, 6, 101
Factor d**3/3 - 5*d**2/3 - 137*d/3 + 143.
(d - 13)*(d - 3)*(d + 11)/3
Factor -u**2/2 - 6246*u - 19506258.
-(u + 6246)**2/2
Factor 3*i**2/2 - 5331*i/2 - 64836.
3*(i - 1801)*(i + 24)/2
Determine g so that -2*g**5/15 - 2584*g**4/5 - 2252174*g**3/5 + 292553636*g**2/3 - 24241929344*g/5 + 46551559872/5 = 0.
-2031, 2, 92
Determine h, given that h**2 + 4694*h + 4693 = 0.
-4693, -1
Find b, given that -177*b**5/5 - 171*b**4/5 + 537*b**3/5 + 867*b**2/5 + 324*b/5 - 12/5 = 0.
-1, 2/59, 2
Let -2*c**5/7 - 624*c**4/7 + 3188*c**3/7 + 792*c**2 - 51138*c/7 + 68472/7 = 0. What is c?
-317, -4, 3
Determine x so that -3*x**5/2 + 39*x**4/2 + 264*x**3 - 1002*x**2 - 1680*x + 2400 = 0.
-10, -2, 1, 4, 20
What is s in 3*s**3 - 1083*s**2 + 2154*s = 0?
0, 2, 359
Factor -3*z**2/8 - 147*z/4 - 7095/8.
-3*(z + 43)*(z + 55)/8
Suppose -3*c**2 + 351*c - 8880 = 0. Calculate c.
37, 80
What is b in 3*b**4 - 1080*b**3 - 5469*b**2 - 2214*b + 8760 = 0?
-4, -2, 1, 365
Find g such that -3*g**2 + 92958*g - 720099147 = 0.
15493
Factor -4*g**2/9 - 4936*g/9 + 19808/9.
-4*(g - 4)*(g + 1238)/9
Factor -2*j**3/7 + 2248*j**2/7 + 18080*j/7 + 36224/7.
-2*(j - 1132)*(j + 4)**2/7
Find s such that 15625*s**3 - 326125*s**2 - 41936*s - 1344 = 0.
-8/125, 21
Factor -2*m**2 - 80*m + 249832.
-2*(m - 334)*(m + 374)
Factor 56*g**2/9 + 580*g/9 + 200/9.
4*(g + 10)*(14*g + 5)/9
Solve 4*a**5/3 + 64*a**4 + 1148*a**3/3 = 0.
-41, -7, 0
Suppose w**4/3 - w**3/3 - 251*w**2/3 - 317*w - 234 = 0. What is w?
-13, -3, -1, 18
Find j, given that -2*j**2 + 2128*j + 17152 = 0.
-8, 1072
Suppose -r**2/6 + 405*r/2 + 3050/3 = 0. Calculate r.
-5, 1220
What is l in -l**4/8 + 6259*l**3/8 + 25047*l**2/8 + 31313*l/8 + 6263/4 = 0?
-2, -1, 6263
Find w such that 75*w**5 - 930*w**4 - 5676*w**3 - 15882*w**2/5 - 3099*w/5 - 204/5 = 0.
-4, -1/5, 17
Factor 2*k**2/5 + 1016*k/5 + 21384/5.
2*(k + 22)*(k + 486)/5
Determine f so that -2*f**3 - 372*f**2 - 2466*f + 127440 = 0.
-177, -24, 15
Let -3*u**3 - 19944*u**2 - 33968700*u - 2714424048 = 0. Calculate u.
-3282, -84
Find c, given that 4*c**5 - 8*c**4 - 264*c**3 + 1040*c**2 - 1276*c + 504 = 0.
-9, 1, 2, 7
Solve 2*i**5/7 + 16*i**4/7 - 208*i**3/7 - 960*i**2/7 + 7200*i/7 = 0.
-10, 0, 6
Factor 2*f**3/5 + 16148*f**2 + 814787704*f/5 - 1629898384/5.
2*(f - 2)*(f + 20186)**2/5
Factor -2*m**3/5 + 48302*m**2/5 - 144888*m/5.
-2*m*(m - 24148)*(m - 3)/5
Find w such that -2*w**4 - 29764*w**3 - 110796472*w**2 - 442799036*w - 332032326 = 0.
-7439, -3, -1
Factor k**4/3 - 26714*k**3/3 + 59434187*k**2 + 1427703016*k/3 + 2856261136/3.
(k - 13361)**2*(k + 4)**2/3
Factor -170*j**3 - 852*j**2 - 522*j + 1512.
-2*(j + 3)**2*(85*j - 84)
Factor -p**3/3 + 2086*p**2/3 - 1081564*p/3 - 2188232.
-(p - 1046)**2*(p + 6)/3
Determine n, given that 4*n**5 - 579*n**4 + 4964*n**3 - 41667*n**2/4 - 4968*n + 43983/4 = 0.
-1, 1, 9/2, 543/4
Factor 5*f**5 - 3080*f**4 + 633450*f**3 - 43706000*f**2 + 43075625*f.
5*f*(f - 205)**3*(f - 1)
What is a in 3*a**4/5 + 2916*a**3 + 14577*a**2/5 = 0?
-4859, -1, 0
Solve 1493*d**3 + 5971*d**2/2 - d = 0.
-2, 0, 1/2986
Suppose 5*m**3 - 7420*m**2 + 3188020*m - 308907680 = 0. Calculate m.
136, 674
Determine n so that 2*n**3/3 + 58*n**2/3 - 848*n = 0.
-53, 0, 24
Factor a**3/6 - 70*a**2 + 3689*a/6 + 685.
(a - 411)*(a - 10)*(a + 1)/6
Find l, given that -l**5/10 - 19*l**4 - 5202*l**3/5 - 65007*l**2/5 - 392283*l/10 - 136242/5 = 0.
-87, -12, -3, -1
Suppose -3*t**3 - 1026069*t**2 - 87735312429*t - 87734286363 = 0. What is t?
-171011, -1
Factor -q**3/4 - 4771*q**2/4 - 19071*q/4 - 14301/4.
-(q + 1)*(q + 3)*(q + 4767)/4
Factor y**3/4 + 7351*y**2/4 + 13498267*y/4 - 40560987/4.
(y - 3)*(y + 3677)**2/4
Factor 2*r**2/7 - 170*r/7 + 3572/7.
2*(r - 47)*(r - 38)/7
Let 5*j**3 - 9995*j**2 + 69750*j - 59760 = 0. Calculate j.
1, 6, 1992
Factor 4*x**4 - 4816*x**3 + 43128*x**2 - 129168*x + 129060.
4*(x - 1195)*(x - 3)**3
Solve -j**5/8 + 3*j**4/8 + 55*j**3/8 - 3*j**2/8 - 27*j/4 = 0 for j.
-6, -1, 0, 1, 9
Suppose -j**2 - 309774*j = 0. Calculate j.
-309774, 0
Solve 3*x**2/5 + 30381*x/5 = 0.
-10127, 0
Suppose 6*o**4/5 + 92*o**3/5 + 242*o**2/5 - 4*o/5 - 336/5 = 0. Calculate o.
-12, -7/3, -2, 1
Solve -8*t**2/7 + 205638*t/7 + 51410/7 = 0 for t.
-1/4, 25705
Suppose -2*v**3 - 1568*v**2 - 367770*v - 22376700 = 0. What is v?
-345, -94
Factor -a**2/2 - 3702*a - 6852402.
-(a + 3702)**2/2
Let 2*m**3/11 - 98706*m**2/11 = 0. What is m?
0, 49353
Find y such that -y**3/4 + 11573*y**2/4 - 23143*y/4 + 11571/4 = 0.
1, 11571
Suppose 12*m**4/7 - 11344*m**3/7 + 85884*m**2 - 28448*m = 0. What is m?
0, 1/3, 56, 889
What is w in 3*w**3 - 2763*w**2 + 620712*w + 7166148 = 0?
-11, 466
Suppose 5*f**3 - 2670*f**2 - 2675*f = 0. What is f?
-1, 0, 535
Factor -2*t**2/7 + 224*t + 1570/7.
-2*(t - 785)*(t + 1)/7
Determine m so that -13*m**2 + 94962*m - 73040 = 0.
10/13, 7304
Factor -2*j**3 + 530*j**2 - 5608*j + 5080.
-2*(j - 254)*(j - 10)*(j - 1)
Solve -5*l**2 + 20340*l + 20345 = 0 