culate x.
-80, -7, 2/5, 1025
Factor -5*h**2 - 86155*h + 118074660.
-5*(h - 1276)*(h + 18507)
Find f such that 4*f**3/5 - 4404*f**2/5 - 76024*f/5 = 0.
-17, 0, 1118
Determine m so that -2*m**3 + 44426*m**2 - 4026384*m + 3981960 = 0.
1, 90, 22122
Let -204*k**4 - 2144*k**3 - 6852*k**2 - 8608*k - 3696 = 0. Calculate k.
-6, -2, -77/51, -1
Find b, given that 4*b**4 - 756*b**3 + 18844*b**2 + 195444*b + 175840 = 0.
-7, -1, 40, 157
What is r in 3*r**2/7 + 57588*r/7 - 10404375/7 = 0?
-19375, 179
Suppose -2*z**3/7 - 9300*z**2/7 + 12252242*z/7 - 12242940/7 = 0. Calculate z.
-5721, 1, 1070
Factor -5*s**2 - 65240*s - 23761875.
-5*(s + 375)*(s + 12673)
Solve -2*n**4/3 - 29458*n**3/3 + 383228*n**2/3 - 943448*n/3 + 196560 = 0 for n.
-14742, 1, 2, 10
Factor k**3/8 - 319*k**2/4 + 61107*k/8 + 6636465/4.
(k - 410)*(k - 327)*(k + 99)/8
Find j, given that -5*j**2 + 84899230*j - 360393962729645 = 0.
8489923
Factor 2*a**3 - 1330*a**2 + 19392*a + 70200.
2*(a - 650)*(a - 18)*(a + 3)
Factor -2*v**2/19 + 13336*v/19 - 1597224/19.
-2*(v - 6546)*(v - 122)/19
Let -6*q**3 - 131762*q**2 - 43912*q + 175680 = 0. Calculate q.
-21960, -4/3, 1
Solve -44936148005*t**2 + 91008960*t - 46080 = 0.
96/94801
Factor -18123*x**2 + 434946*x + 144.
-3*(x - 24)*(6041*x + 2)
Factor 175*g**3 + 1063435*g**2 - 850832*g + 170172.
(5*g - 2)**2*(7*g + 42543)
Suppose b**5/3 + 31*b**4/3 + 17*b**3/3 - 5935*b**2/3 - 13734*b - 11760 = 0. What is b?
-21, -15, -8, -1, 14
Find c such that 4*c**2 - 1023296*c = 0.
0, 255824
Suppose x**2/3 + 900382*x/3 - 3601544/3 = 0. Calculate x.
-900386, 4
What is t in -3*t**2/2 - 1664031*t - 922999722987/2 = 0?
-554677
Factor -2213446*n**2/9 + 2*n/9.
-2*n*(1106723*n - 1)/9
Solve 2*l**4/15 + 821216*l**3/15 + 1642408*l**2/15 - 6569696*l/15 = 0 for l.
-410606, -4, 0, 2
Factor 10101*a**4 + 35454534*a**3/5 + 8296372188*a**2/5 + 647119658952*a/5 + 307509696/5.
3*(a + 234)**3*(16835*a + 8)/5
Determine k so that k**3/7 - 6569*k**2/7 - 337840*k/7 + 1456400/7 = 0.
-55, 4, 6620
Determine w, given that -2*w**3/7 - 9776*w**2/7 + 19846*w/7 + 1398540/7 = 0.
-4890, -11, 13
Let -2*w**2 + 17932352*w - 40196156031488 = 0. What is w?
4483088
Suppose -4*q**5/3 - 63644*q**4/3 - 114881208*q**3 - 223734439656*q**2 - 65088393384924*q + 65312242727004 = 0. What is q?
-5187, -351, 1
Find n such that -n**2 + 3944801*n + 27613656 = 0.
-7, 3944808
What is s in -20*s**3/3 - 1514*s**2/3 + 3088*s/3 - 518 = 0?
-777/10, 1
Determine v so that 2*v**3 + 1157392*v**2 - 2314790*v + 1157396 = 0.
-578698, 1
Suppose -a**4/8 + 23037*a**3/8 + 138271*a**2/8 - 299517*a/8 - 483903/4 = 0. Calculate a.
-7, -2, 3, 23043
Factor -2*n**2/23 + 45371832*n/23 - 257325392379528/23.
-2*(n - 11342958)**2/23
Suppose -255*g**5 + 14403*g**4 + 192132*g**3 + 512412*g**2 + 224112*g + 19584 = 0. Calculate g.
-8, -3, -2/5, -2/17, 68
Let 8*m**4/5 + 14496*m**3/5 - 4656102*m**2/5 + 4601642*m - 5729340 = 0. What is m?
-2091, 5/2, 274
Factor -2*z**3 + 115094*z**2 - 1656346406*z + 14897796498.
-2*(z - 28769)**2*(z - 9)
Solve 3*q**3 + 12723*q**2 + 7980600*q + 124444800 = 0.
-3480, -745, -16
Factor 2*u**2/5 - 7712*u + 1308728/5.
2*(u - 19246)*(u - 34)/5
Factor w**3/3 + 2700548*w**2/3.
w**2*(w + 2700548)/3
Find t such that -t**4/4 + 138313*t**3/4 - 5114985*t**2/2 + 9815039*t - 9676730 = 0.
2, 70, 138239
Suppose -2*t**2/23 + 89924*t/23 - 31139874/23 = 0. Calculate t.
349, 44613
Factor -k**3 + 4169*k**2 + 620929*k + 616759.
-(k - 4313)*(k + 1)*(k + 143)
Find d such that -4*d**2 + 278772*d - 1672488 = 0.
6, 69687
Factor -385*w**2 - 39596*w + 39981.
-(w - 1)*(385*w + 39981)
Factor 4*v**2 + 1236200*v + 95511902500.
4*(v + 154525)**2
Let -2*z**3/3 - 68514*z**2 - 28960048*z - 9199767136/3 = 0. What is z?
-102347, -212
Suppose 4*d**3 - 685136*d**2 + 685132*d = 0. What is d?
0, 1, 171283
Factor -3*n**2/4 - 1595673*n/4 - 4786965/2.
-3*(n + 6)*(n + 531885)/4
Suppose -f**5/4 - 21169*f**4/2 - 223639427*f**3/2 + 4487056008*f**2 - 113724859185*f/4 - 712521295227/2 = 0. Calculate f.
-21189, -6, 23
Let r**2/2 - 2040635*r/2 - 1020318 = 0. What is r?
-1, 2040636
Let 25*w**4 - 597745*w**3 - 717366*w**2 + 860804*w - 191288 = 0. Calculate w.
-2, 2/5, 23911
Find t such that 2*t**5 + 2891584*t**4 + 208187136*t**3 + 4996435968*t**2 + 39971266560*t = 0.
-1445720, -24, 0
Solve -2*i**5/11 + 1090*i**4/11 - 10746*i**3/11 + 24638*i**2/11 - 14980*i/11 = 0 for i.
0, 1, 2, 7, 535
Suppose -45*c**4 - 12732*c**3 + 160731*c**2 + 161070*c = 0. What is c?
-295, -14/15, 0, 13
Factor 5*r**3 + 156065*r**2 + 18053080*r + 523051540.
5*(r + 58)**2*(r + 31097)
Suppose -1728*y**3 + 108528*y**2 - 3332065*y/3 - 20046675 = 0. What is y?
-9, 2585/72
Factor -78*w**2/5 - 11952342*w/5 - 367764.
-6*(w + 153235)*(13*w + 2)/5
Let 2*c**3 + 1864*c**2 + 130630*c - 6154432 = 0. What is c?
-851, -113, 32
Factor 5*j**3/3 + 32420*j**2/3 + 63758900*j/3 + 11370384000.
5*(j + 864)*(j + 2810)**2/3
Determine s so that -9*s**5 + 5819934*s**4 - 940894179804*s**3 + 5017969727958*s**2 - 5331565555227*s + 1254484187148 = 0.
1/3, 1, 4, 323327
Factor -2*g**2/5 + 3624*g - 54342/5.
-2*(g - 9057)*(g - 3)/5
Factor 3*o**2 - 212056704*o + 3747337142611968.
3*(o - 35342784)**2
Factor 5*r**2 + 9820*r - 27869625.
5*(r - 1575)*(r + 3539)
Suppose -n**4 + 580485*n**3 - 2902407*n**2 + 4063363*n - 1741440 = 0. What is n?
1, 3, 580480
Determine y, given that -3*y**4 - 2967138*y**3 - 733661959719*y**2 - 1467315018036*y - 733656025452 = 0.
-494522, -1
Factor -10*b**2/3 + 35828*b/3 - 31855210/3.
-2*(b - 1945)*(5*b - 8189)/3
Suppose -2*b**2/3 + 19188886*b + 57566660/3 = 0. Calculate b.
-1, 28783330
Let 4*s**5 - 6120*s**4 - 7965424*s**3 + 218011608*s**2 - 1970896212*s + 5925836880 = 0. What is s?
-860, 9, 2363
Find j, given that -2*j**3/3 + 525570*j**2 - 103584197122*j + 310751014658/3 = 0.
1, 394177
Let -3*l**4 + 17135526*l**3 - 51406557*l**2 + 34271034*l = 0. Calculate l.
0, 1, 2, 5711839
Solve -l**2 - 631018*l + 19562519 = 0.
-631049, 31
Factor -l**3/3 + 1340*l**2/3 - 40579*l/3.
-l*(l - 1309)*(l - 31)/3
Find g, given that -3*g**2 - 177678*g + 3376965 = 0.
-59245, 19
Factor 4*l**2 + 409560656*l + 10483745683946896.
4*(l + 51195082)**2
Factor -z**2/6 - 7370*z + 44226.
-(z - 6)*(z + 44226)/6
Factor 2*q**2/11 + 597562*q/11 + 597560/11.
2*(q + 1)*(q + 298780)/11
Factor -5*u**2 - 320*u + 78244560.
-5*(u - 3924)*(u + 3988)
Let 2*k**3/11 + 84602*k**2/11 - 785910*k + 220580406/11 = 0. Calculate k.
-42403, 51
Factor -10*v**2 + 62726168*v/3 - 16726976/3.
-2*(v - 2090872)*(15*v - 4)/3
Suppose 4*i**5 + 25636*i**4 + 41113492*i**3 + 121726812*i**2 - 2215989144*i = 0. What is i?
-3203, -9, 0, 6
Factor -4*t**3 + 129584*t**2 - 1043645236*t - 94980617640.
-4*(t - 16243)**2*(t + 90)
Suppose 11*o**5 - 2527*o**4 - 16211*o**3 - 17213*o**2 - 3540*o = 0. Calculate o.
-5, -1, -3/11, 0, 236
Determine p so that -3*p**4 + 42799*p**3 + 2435321*p**2 - 5886871*p + 1690114 = 0.
-59, 1/3, 2, 14323
Factor 512*d**2/5 + 501568*d/5 + 122837138/5.
2*(16*d + 7837)**2/5
What is c in -2*c**2/17 - 43683418*c/17 - 87366828/17 = 0?
-21841707, -2
Find l, given that -5*l**2 - 321590*l - 3536885 = 0.
-64307, -11
Factor -h**3/6 - 2227*h**2/6 + 4460*h/3 - 4462/3.
-(h - 2)**2*(h + 2231)/6
Let 4*q**3 - 10480*q**2 - 12601344*q = 0. What is q?
-896, 0, 3516
Solve -2*g**4 + 12198*g**3 + 8085030*g**2 - 16206646*g + 8109420 = 0 for g.
-605, 1, 6702
Solve 5*t**5 + 12140*t**4 - 36515*t**3 - 121550*t**2 = 0 for t.
-2431, -2, 0, 5
Determine a, given that -2*a**4/13 - 4241766*a**3/13 - 2249061745380*a**2/13 + 865033863232*a + 13494497725632/13 = 0.
-1060444, -1, 6
Find y such that y**2/2 - 2756320*y + 3798649971200 = 0.
2756320
Factor y**2/3 - 316381*y - 1898290/3.
(y - 949145)*(y + 2)/3
Solve -3*b**2 + 11343*b + 1634640 = 0.
-139, 3920
Factor -p**2 - 3882*p + 54544.
-(p - 14)*(p + 3896)
Solve 156*r**2 - 101403*r + 1950 = 0.
1/52, 650
Find j, given that -54102*j**4 + 919689*j**3 - 3461763*j**2 + 2594016*j + 2160 = 0.
-15/18034, 1, 4, 12
Factor j**2 + 3151265*j.
j*(j + 3151265)
Suppose j**3 + 2543*j**2 + 213151*j + 4542993 = 0. What is j?
-2457, -43
Factor -q**4 - 301*q**3 - 18143*q**2 + 18445*q.
-q*(q - 1)*(q + 85)*(q + 217)
Determine j so that 4*j**4 - 12476*j**3 + 9415296*j**2 + 491774976*j = 0.
-49, 0, 1584
Factor f**3 + 492*f**2 - 75769*f - 76260.
(f - 124)*(f + 1)*(f + 615)
Suppose -4*m**3 + 17