 7007*k**2 = 0.
-14014, 0
Find n such that 2*n**5 - 9892*n**4 + 148038*n**3 - 532332*n**2 - 1066392*n + 6390576 = 0.
-3, 6, 4931
Suppose 154*m**3/5 - 159848*m**2/5 + 41477442*m/5 + 1077444/5 = 0. Calculate m.
-2/77, 519
Determine w, given that -w**4/5 + 16*w**3 + 375*w**2 - 2194*w + 9016/5 = 0.
-23, 1, 4, 98
Factor -25*d**4/6 - 428845*d**3/6 - 171532*d**2/3 - 34306*d/3.
-d*(d + 17153)*(5*d + 2)**2/6
Find k such that -83*k**2 - 474*k - 295 = 0.
-5, -59/83
Determine a, given that a**3/3 - 3110*a**2/3 - 4156*a + 12456 = 0.
-6, 2, 3114
Find r such that 2*r**4/15 + 119156*r**3/15 + 238304*r**2/15 = 0.
-59576, -2, 0
Suppose s**4/3 - 2477*s**3 + 4600408*s**2 + 13808656*s/3 = 0. What is s?
-1, 0, 3716
Factor -v**3/2 + 1677*v**2/2 + 5045*v + 6732.
-(v - 1683)*(v + 2)*(v + 4)/2
Let -17684*n**2/5 + 53058*n/5 - 18/5 = 0. What is n?
3/8842, 3
Factor -4*o**4 + 15360*o**3 - 19676136*o**2 + 8427852832*o - 25106887668.
-4*(o - 1279)**3*(o - 3)
Determine d, given that 2*d**2 - 189324*d = 0.
0, 94662
Let -s**4/5 + 12*s**3 + 6941*s**2/5 + 52392*s/5 + 102608/5 = 0. Calculate s.
-53, -4, 121
Find w such that -3*w**2 - 2586*w - 12855 = 0.
-857, -5
Factor 3*m**2/7 - 14277*m/7 + 14256.
3*(m - 4752)*(m - 7)/7
Factor -3*l**4 - 264*l**3 + 1692*l**2 - 96*l - 9024.
-3*(l - 4)**2*(l + 2)*(l + 94)
Determine f, given that 2*f**5/11 + 192*f**4/11 + 3248*f**3/11 - 768*f**2/11 - 1184*f = 0.
-74, -22, -2, 0, 2
Factor w**4 - 492*w**3 + 41499*w**2 - 1025568*w + 2716416.
(w - 393)*(w - 48)**2*(w - 3)
Factor 2*m**2/9 + 82*m/9 - 868/3.
2*(m - 21)*(m + 62)/9
Factor -4*u**3 - 320*u**2 - 6384*u.
-4*u*(u + 38)*(u + 42)
Suppose -5*q**4 - 645*q**3 + 29045*q**2 - 107595*q + 79200 = 0. Calculate q.
-165, 1, 3, 32
Factor 2*c**3/3 - 20*c**2/3 - 138*c + 456.
2*(c - 19)*(c - 3)*(c + 12)/3
Determine f, given that -3*f**3/2 - 75*f**2/2 + 531*f/2 - 837/2 = 0.
-31, 3
Find z such that -114*z**5/11 + 368*z**4/11 + 492*z**3/11 - 472*z**2/11 - 378*z/11 + 104/11 = 0.
-1, 13/57, 1, 4
Find p such that 10*p**3 + 374*p**2 + 1772*p + 1408 = 0.
-32, -22/5, -1
What is x in -x**3/5 - 7032*x**2/5 - 8428*x + 112416/5 = 0?
-7026, -8, 2
Determine o, given that 2*o**2 - 518*o - 12364 = 0.
-22, 281
Factor 5*i**2 + 122555*i + 245090.
5*(i + 2)*(i + 24509)
Factor -h**3/2 + 8*h**2 + 18*h.
-h*(h - 18)*(h + 2)/2
Solve -2*o**3/5 - 1628*o**2/5 + 26432*o/5 - 21248 = 0 for o.
-830, 8
Determine o so that -4*o**4 - 2644*o**3 - 2544*o**2 + 63216*o - 95040 = 0.
-660, -6, 2, 3
Find l, given that 4*l**3/3 + 7748*l**2 + 278240*l/3 - 216496 = 0.
-5799, -14, 2
Factor -q**5 + 150*q**4 + 2734*q**3 + 17260*q**2 + 45675*q + 41750.
-(q - 167)*(q + 2)*(q + 5)**3
Factor q**2 + 151620*q + 5747156100.
(q + 75810)**2
Factor -x**4 - 1608*x**3 - 659152*x**2 - 10239744*x - 40551424.
-(x + 8)**2*(x + 796)**2
Determine s, given that -4*s**4/5 + 287*s**3/5 - 2444*s**2/5 + 1372*s/5 + 2976 = 0.
-2, 15/4, 8, 62
Find b such that 2*b**3 - 6058*b**2 - 18192*b = 0.
-3, 0, 3032
Factor n**2/2 + 77*n/2 + 245.
(n + 7)*(n + 70)/2
Determine l so that -4*l**4 - 12*l**3 + 36*l**2 - 20*l = 0.
-5, 0, 1
Factor 2*s**3/9 - 9370*s**2/9 + 10979296*s/9 - 10969928/9.
2*(s - 2342)**2*(s - 1)/9
Solve 56*y**5 - 1012*y**4 - 1116*y**3 + 2428*y**2 + 100*y - 456 = 0.
-2, -3/7, 1/2, 1, 19
Determine i, given that 8*i**2/5 + 24413*i/10 - 2289/5 = 0.
-1526, 3/16
Suppose 2*q**3/15 - 3490*q**2/3 + 38054086*q/15 + 38071538/15 = 0. Calculate q.
-1, 4363
Suppose 6*g**5/7 + 276*g**4/7 + 4686*g**3/7 + 35856*g**2/7 + 119880*g/7 + 129600/7 = 0. Calculate g.
-15, -8, -6, -2
Factor -3*g**3 + 18*g**2 + 876*g + 3960.
-3*(g - 22)*(g + 6)*(g + 10)
Factor 2*o**2/7 + 278*o/7 - 564/7.
2*(o - 2)*(o + 141)/7
Solve -9*x**4 + 158949*x**3 + 7*x**2 - 123625*x - 35322 = 0.
-2/3, -1/3, 1, 17661
Find h, given that 5*h**4 + 1720320*h**3 - 6881335*h**2 + 8601690*h - 3440680 = 0.
-344068, 1, 2
Solve 6*r**4/7 + 870*r**3/7 + 20322*r**2/7 - 43278*r/7 + 22080/7 = 0.
-115, -32, 1
Find x such that x**4/2 + 41*x**3/2 + 329*x**2/2 + 559*x/2 - 465 = 0.
-31, -6, -5, 1
Solve 2*x**2/3 + 1520*x - 36608/3 = 0 for x.
-2288, 8
Find k, given that -k**3 - 3263*k**2 - 224735*k - 3911425 = 0.
-3193, -35
Factor 4*z**4 - 480*z**3 + 13376*z**2 - 107520*z.
4*z*(z - 84)*(z - 20)*(z - 16)
What is t in -3*t**2/5 - 261*t/5 + 1092/5 = 0?
-91, 4
Factor 24*t**5 + 1012*t**4 + 11580*t**3 + 51900*t**2 + 81500*t.
4*t*(t + 5)**3*(6*t + 163)
Suppose 510050*t**2 + 1108980*t + 602802 = 0. What is t?
-549/505
Factor 4*m**2 - 1920*m - 50500.
4*(m - 505)*(m + 25)
Let 2*t**4 - 14*t**3 - 24*t**2 + 200*t - 224 = 0. What is t?
-4, 2, 7
Let h**3 + 30*h**2 - 468*h + 1512 = 0. Calculate h.
-42, 6
Solve -4*t**5 - 420*t**4 - 396*t**3 + 2068*t**2 - 1248*t = 0.
-104, -3, 0, 1
Find p such that 39*p**3/5 + 1863*p**2/5 + 7953*p/5 - 387 = 0.
-43, -5, 3/13
Find n, given that 38*n**5/11 + 196*n**4/11 - 1566*n**3/11 + 2636*n**2/11 - 1064*n/11 - 240/11 = 0.
-10, -3/19, 1, 2
Factor -4*m**4 - 68*m**3 - 88*m**2 + 2640*m + 7200.
-4*(m - 6)*(m + 3)*(m + 10)**2
Determine n so that n**2/3 + 21148*n/3 + 111809476/3 = 0.
-10574
Determine k so that k**2 + 181*k - 930 = 0.
-186, 5
Let -4*l**4 - 75536*l**3 - 356605456*l**2 = 0. What is l?
-9442, 0
Suppose -2*g**4/9 - 136*g**3/3 - 234*g**2 + 52660*g/9 - 17600 = 0. Calculate g.
-198, -16, 5
Factor 3*q**3 + 2661*q**2 - 48*q - 42576.
3*(q - 4)*(q + 4)*(q + 887)
Solve 12*k**4/7 - 129*k**3/7 - 114*k**2/7 + 135*k - 594/7 = 0 for k.
-3, 3/4, 2, 11
Suppose -5*o**5/2 + 144*o**4 + 451*o**3/2 - 1083*o**2 - 2230*o - 708 = 0. Calculate o.
-2, -2/5, 3, 59
Solve -2*g**2/11 + 1576*g/11 - 152550/11 = 0 for g.
113, 675
Find j such that -j**3/6 + 527*j**2/6 - 7951*j/6 - 38325/2 = 0.
-9, 25, 511
Factor 645*x**3 + 23229*x**2 + 209304*x + 2916.
3*(x + 18)**2*(215*x + 3)
Solve 39*a**5/5 - 606*a**4/5 - 171*a**3/5 + 21114*a**2/5 + 1944*a = 0.
-5, -6/13, 0, 9, 12
Find z such that z**5 + 41*z**4 - 109*z**3 - 1001*z**2 - 480*z + 1548 = 0.
-43, -3, -2, 1, 6
Factor 5*w**4 + 290*w**3 - 60*w**2 - 3560*w - 4640.
5*(w - 4)*(w + 2)**2*(w + 58)
Find v such that -4*v**2 - 136*v + 2208 = 0.
-46, 12
Factor -u**3 - 99*u**2 - 2544*u - 19456.
-(u + 16)*(u + 19)*(u + 64)
Factor 2*j**2/7 - 3790*j/7 - 3792/7.
2*(j - 1896)*(j + 1)/7
Factor 4*g**2/9 - 81040*g/9 - 81044/9.
4*(g - 20261)*(g + 1)/9
Determine v, given that -2*v**2/11 - 238912*v/11 - 7134867968/11 = 0.
-59728
Factor 4*x**2/5 - 34552*x/5 + 74615044/5.
4*(x - 4319)**2/5
Suppose 5*i**2 + 124860*i - 124865 = 0. What is i?
-24973, 1
Factor -9*r**2 + 2125*r + 10850.
-(r + 5)*(9*r - 2170)
Factor -3*v**2 + 364533*v - 364530.
-3*(v - 121510)*(v - 1)
Solve 2*g**5 + 41404*g**4 - 1160400*g**3 + 9949600*g**2 - 16588000*g - 82920000 = 0.
-20730, -2, 10
Factor u**5/6 - 551*u**4/6 - 1108*u**3/3 - 370*u**2.
u**2*(u - 555)*(u + 2)**2/6
Let -4*w**5 - 220*w**4 - 1996*w**3 - 2532*w**2 + 4752*w = 0. Calculate w.
-44, -9, -3, 0, 1
Find q, given that -160*q**2 - 11675*q + 365 = 0.
-73, 1/32
Factor -9*i**2 + 167716*i - 18635.
-(i - 18635)*(9*i - 1)
Factor 3*f**3 - 1183314*f**2 - 2366637*f - 1183320.
3*(f - 394440)*(f + 1)**2
Suppose -5*n**4/2 - 1465*n**3 - 133995*n**2/2 + 1465*n + 67000 = 0. What is n?
-536, -50, -1, 1
Determine q, given that -5*q**4 + 320*q**3 - 4695*q**2 + 12580*q + 17600 = 0.
-1, 5, 16, 44
What is q in -3*q**2/7 + 135*q/7 - 1350/7 = 0?
15, 30
Factor -g**3/11 + 12621*g**2/11 + 50496*g/11 + 50500/11.
-(g - 12625)*(g + 2)**2/11
Factor -u**4/8 - 5*u**3/2 + 13*u**2/2 + 22*u.
-u*(u - 4)*(u + 2)*(u + 22)/8
Let w**3/2 + 2031*w**2/2 + 4059*w/2 + 2029/2 = 0. Calculate w.
-2029, -1
Let 914*c**3 - 5478*c**2 + 8190*c + 54 = 0. Calculate c.
-3/457, 3
Solve -2*b**5 + 590*b**4 + 431226*b**3 + 46426058*b**2 - 94148144*b + 47290272 = 0 for b.
-188, 1, 669
Determine u so that 3*u**3/5 + 8706*u**2 + 31624500*u + 315375000 = 0.
-7250, -10
Factor -4*i**2 + 719880*i - 32389200900.
-4*(i - 89985)**2
Solve m**3/3 - 18955*m**2/3 - 12638*m = 0.
-2, 0, 18957
Suppose 35*t**3/3 - 115*t**2/3 - 200*t + 60 = 0. Calculate t.
-3, 2/7, 6
Factor -o**4/4 - 64891*o**3/2 - 4211101433*o**2/4 - 4210582321*o.
-o*(o + 4)*(o + 64889)**2/4
Factor 2*f**3 - 294*f**2 + 9856*f - 34848.
2*(f - 99)*(f - 44)*(f - 4)
Solve -7*w**3/3 + 9161*w**2/3 - 61180*w/3 - 6076 = 0 for w.
-2/7, 7, 1302
Solve 5*q**3 - 4565*q**2 + 1113200*q - 31944000 = 0.
33, 440
Suppose -a**3 + 5359*a**2 