*2/4 + 50197*y/4 + 4183.
(y + 16732)*(3*y + 1)/4
Factor -3*g**2/2 - 22781148*g + 45562299/2.
-3*(g - 1)*(g + 15187433)/2
Let 255*r**3 - 481960*r**2 - 207863220*r + 8152240 = 0. What is r?
-362, 2/51, 2252
Factor 3*l**2/8 + 53829*l/2 + 2365572.
3*(l + 88)*(l + 71684)/8
Solve 2*x**4 - 4004*x**3 + 605274*x**2 - 29415672*x + 459475848 = 0 for x.
39, 82, 1842
Let -28329987*q**3 - 4022821278*q**2 + 5236380*q - 1704 = 0. Calculate q.
-142, 2/3073
Determine c so that 3*c**2 + 432252*c + 15570149292 = 0.
-72042
Solve 3*v**5/7 + 2512*v**4 - 560290*v**3/7 - 2681780*v**2/7 - 391479*v - 636444/7 = 0.
-5893, -3, -1, -1/3, 36
Determine n so that -2*n**2 + 51798*n + 14448600 = 0.
-276, 26175
Factor -3*p**3/7 - 398252676*p**2/7 - 796505340*p/7.
-3*p*(p + 2)*(p + 132750890)/7
Find q, given that -6*q**5/13 + 7600*q**4/13 + 164388*q**3/13 + 612496*q**2/13 + 762258*q/13 + 306544/13 = 0.
-17, -7/3, -1, 1288
Factor -h**2/8 - 2750379*h/4 - 7564584643641/8.
-(h + 2750379)**2/8
Factor 13*f**2/3 + 22181*f - 199980.
(f - 9)*(13*f + 66660)/3
Determine b so that 4*b**3/5 + 117520*b**2 + 4112972*b/5 - 4700576/5 = 0.
-146893, -8, 1
Suppose 5*k**4 - 1170498*k**3 - 12173575*k**2 - 33945900*k - 11705500 = 0. What is k?
-5, -2/5, 234110
Find c, given that 2*c**5/13 + 912*c**4/13 - 12120*c**3/13 + 34916*c**2/13 + 97590*c/13 - 422100/13 = 0.
-469, -3, 5, 6
Suppose 76*o**5 - 3779*o**4 - 17248*o**3 - 16285*o**2 - 1272*o + 1620 = 0. What is o?
-3, -1, -10/19, 1/4, 54
Factor -4*z**2/9 + 351136*z/9 - 1755580/9.
-4*(z - 87779)*(z - 5)/9
Determine f so that -f**2/2 - 13118*f + 17984926 = 0.
-27542, 1306
Find y, given that 5*y**2 - 189890*y - 1519440 = 0.
-8, 37986
Solve -d**2/5 - 2656*d/5 + 1112832/5 = 0.
-3024, 368
Factor 4*g**4 + 513408*g**3 + 16421270008*g**2 - 3399139341696*g + 175336633692676.
4*(g - 103)**2*(g + 64279)**2
Solve -2*n**4 - 522*n**3 + 39698*n**2 + 1574178*n + 4351320 = 0.
-316, -27, -3, 85
Determine i, given that 2*i**2/9 + 1408940*i/9 + 7044650/9 = 0.
-704465, -5
Determine z so that -5292*z**5 - 2125368*z**4/5 - 2776692*z**3/5 - 749864*z**2/5 - 74608*z/5 - 2528/5 = 0.
-79, -1, -2/15, -2/21
Solve 2*i**4/7 + 5676*i**3/7 - 479578*i**2 + 13360008*i/7 - 13337272/7 = 0 for i.
-3341, 2, 499
Factor 3*j**2 + 205238004*j + 3510219857158668.
3*(j + 34206334)**2
Factor -o**2 + 915232*o - 2745687.
-(o - 915229)*(o - 3)
Let -d**4 + 5100*d**3 - 121820*d**2 - 20400*d + 487296 = 0. Calculate d.
-2, 2, 24, 5076
Factor h**2/3 + 6618*h - 6638709.
(h - 957)*(h + 20811)/3
Determine z so that -z**5/10 + 5022*z**4/5 - 5017*z**3/5 - 45198*z**2/5 + 90387*z/10 = 0.
-3, 0, 1, 3, 10043
Let 3*k**5/4 - 27387*k**4/4 + 15601860*k**3 + 110865873*k**2 - 3009480624*k + 10704578112 = 0. Calculate k.
-19, 6, 4568
Suppose -12*z**2 - 293768691*z - 73442172 = 0. What is z?
-24480724, -1/4
Factor 2*j**2/9 + 61036*j/9 - 488416/9.
2*(j - 8)*(j + 30526)/9
Let w**2 - 414190*w - 1656776 = 0. Calculate w.
-4, 414194
Solve -3*g**2 + 2175*g - 392958 = 0.
342, 383
Factor -3949*c**2/5 - 603871*c/5 - 5046/5.
-(11*c + 1682)*(359*c + 3)/5
Let -j**5/2 + 673*j**4/4 + 6313*j**3/2 - 83929*j**2/4 + 34107*j - 12213 = 0. What is j?
-23, 1/2, 2, 3, 354
Determine v, given that 2*v**5 - 128*v**4 + 1848*v**3 + 37044*v**2 - 1203930*v + 8557164 = 0.
-21, 21, 22
Let -2*r**3/3 - 346*r**2 + 658260*r + 7915600/3 = 0. What is r?
-1285, -4, 770
Factor -2*c**4/9 - 120742*c**3/9 + 13416*c**2.
-2*c**2*(c - 1)*(c + 60372)/9
Find d such that 3*d**2 - 1341*d + 147588 = 0.
196, 251
Find v, given that v**2 + 3052*v + 1271892 = 0.
-2554, -498
Solve 563*i**2/2 - 214502*i - 762 = 0 for i.
-2/563, 762
Factor h**3/4 - 213375*h**2/4 + 4693887*h/4 - 25815713/4.
(h - 213353)*(h - 11)**2/4
Solve 5*w**4 + 18998070*w**3 + 37996120*w**2 = 0 for w.
-3799612, -2, 0
Solve 5*u**5/2 + 23667495*u**4/2 - 5*u**3 - 23667495*u**2 + 5*u/2 + 23667495/2 = 0 for u.
-4733499, -1, 1
Factor y**4 - 60786*y**3 - 243171*y**2 + 668696*y - 364740.
(y - 60790)*(y - 1)**2*(y + 6)
Find s such that s**2/9 + 7057*s/9 + 7448380/9 = 0.
-5765, -1292
Determine o, given that o**2/2 + 2337*o/2 - 102935 = 0.
-2422, 85
Suppose j**2/4 - 2529*j/4 - 356725 = 0. Calculate j.
-475, 3004
Suppose 2*j**3 + 31370*j**2 - 84927612*j = 0. What is j?
-18039, 0, 2354
What is g in -2*g**4/3 + 16223828*g**3/3 - 32901671714522*g**2/3 + 131606102800856*g - 394817724345624 = 0?
6, 4055951
Determine g so that -g**2 - 26704*g + 1605840 = 0.
-26764, 60
Find t, given that -2*t**3 + 46344*t**2 - 2590560*t + 36245888 = 0.
28, 23116
Solve 48*l**4/11 - 99762*l**3/11 - 964068*l**2/11 - 1228032*l/11 + 601344/11 = 0.
-8, -2, 3/8, 2088
Determine g, given that -1444*g**5 + 60724*g**4 + 61464*g**3 - 114320*g**2 + 34400*g = 0.
-2, 0, 10/19, 43
Suppose -6*w**4/7 - 2792784*w**3/7 - 324971138508*w**2/7 + 3250021391424*w/7 + 3574989737154/7 = 0. What is w?
-232737, -1, 11
Suppose 2*z**3 + 573698*z**2 - 13196160*z - 13769856 = 0. Calculate z.
-286872, -1, 24
Determine h so that -2*h**5 + 45000*h**4 + 675326*h**3 + 2791884*h**2 - 539640*h - 16210800 = 0.
-6, -5, 2, 22515
What is c in 10791*c**2 + 9291045*c - 5166 = 0?
-861, 2/3597
Let v**4/4 + 625*v**3/2 + 377959*v**2/4 + 2009955*v/2 + 910800 = 0. What is v?
-759, -480, -10, -1
Factor f**2/6 + 84179*f/3 + 112236.
(f + 4)*(f + 168354)/6
Let t**5 - 456*t**4 - 147975*t**3 - 7377434*t**2 + 7823628*t + 15053544 = 0. What is t?
-166, -66, -1, 2, 687
Solve -2*t**3/9 + 16712*t**2/3 + 652106*t/9 = 0 for t.
-13, 0, 25081
Factor 4*f**3/9 + 31808*f**2/3 + 3334940*f/9.
4*f*(f + 35)*(f + 23821)/9
Suppose 2*v**5 - 1282*v**4 + 98356*v**3 - 1570244*v**2 - 20594742*v + 22067910 = 0. Calculate v.
-9, 1, 47, 555
Factor 2*c**3 + 191522*c**2 + 574552*c + 383032.
2*(c + 1)*(c + 2)*(c + 95758)
Factor -5*o**2/6 - 571645*o/2 + 24868660/3.
-5*(o - 29)*(o + 343016)/6
Factor 4*u**2 - 4340368*u + 1177424648464.
4*(u - 542546)**2
Factor 3*d**3 + 1377975*d**2.
3*d**2*(d + 459325)
Solve 353*w**2 - 156295*w - 37212 = 0.
-84/353, 443
Let -5*l**5 + 7153175*l**4/2 + 46496655*l**3/2 - 212809270*l**2 + 271823240*l - 85838880 = 0. What is l?
-12, 1/2, 1, 4, 715324
Factor -5*j**2 - 103180*j + 34487425.
-5*(j - 329)*(j + 20965)
Determine x so that 1635*x**2 + 2020*x - 3655 = 0.
-731/327, 1
Suppose 25*p**3 + 565*p**2 - 115685*p - 1307625 = 0. What is p?
-75, -11, 317/5
Let 5*q**5 + 20080*q**4 + 17749910*q**3 - 4970156880*q**2 + 14750178885*q = 0. What is q?
-2119, 0, 3, 219
What is i in -3*i**3 + 3330*i**2 + 13356*i + 13368 = 0?
-2, 1114
Let 3*j**3/4 + 2927907*j**2/2 + 714388080672*j + 1428770305536 = 0. What is j?
-975968, -2
Suppose -m**4/3 + 164*m**3/3 + 1897*m**2/3 - 27584*m/3 + 15428 = 0. What is m?
-19, 2, 7, 174
Solve 28*a**5 + 35272*a**4 + 721152*a**3 + 3139128*a**2 + 2453220*a = 0.
-1239, -15, -33/7, -1, 0
Factor g**2/7 + 9431*g/7 + 913080.
(g + 735)*(g + 8696)/7
Factor -2*n**2 - 2237492*n + 2237494.
-2*(n - 1)*(n + 1118747)
Suppose -9*l**5/2 + 285*l**4 - 303*l**3/2 - 13965*l**2 + 18228*l = 0. Calculate l.
-7, 0, 4/3, 7, 62
Factor 4*t**3/7 - 2458460*t**2 - 68836928*t/7 - 68836944/7.
4*(t - 4302309)*(t + 2)**2/7
Solve 2*y**5 + 7636538*y**4 + 7289592896446*y**3 + 7289577623374*y**2 - 7289592896448*y - 7289585259912 = 0.
-1909134, -1, 1
Suppose 4*s**3/3 + 5258*s**2/3 - 98806*s/3 - 218612/3 = 0. Calculate s.
-1333, -2, 41/2
Factor -4*s**2 - 61415056*s - 235738068967696.
-4*(s + 7676882)**2
Factor -q**3 - 3904*q**2 + 9568955*q - 9565050.
-(q - 1705)*(q - 1)*(q + 5610)
Factor -3*p**2 + 40944*p + 3087675.
-3*(p - 13723)*(p + 75)
What is s in -14*s**4 - 1279336*s**3/3 + 5810262*s**2 - 10422056*s/3 + 528216 = 0?
-30474, 2/7, 1/3, 13
Factor -m**2/6 + 50671693*m/3 - 2567620471486249/6.
-(m - 50671693)**2/6
Determine s so that -2*s**4/3 + 1288*s**3/3 - 155030*s**2/3 + 1358048*s = 0.
0, 37, 111, 496
Factor m**3/5 - 15191*m**2/5 + 621108*m/5 + 127260.
(m - 15150)*(m - 42)*(m + 1)/5
Let 572*a**3/3 + 5781206*a**2/3 + 23135878*a/3 + 80824/3 = 0. Calculate a.
-10103, -4, -1/286
Find h such that 2*h**5 - 330*h**4 - 6468*h**3 - 21848*h**2 - 20496*h = 0.
-14, -2, 0, 183
Factor 2*p**3 + 1000796*p**2 + 125200079992*p + 250396156816.
2*(p + 2)*(p + 250198)**2
Suppose -c**2/3 - 582452*c/3 - 388300 = 0. Calculate c.
-582450, -2
Factor -4*w**2 + 533238648*w - 17771465982554244.
-4*(w - 66654831)**2
Find z such that 1168*z**5 + 41780*z**4