389525*r**2 + 3911658750*r - 39116452500 = 0.
30, 2897515
Factor -2*u**2/5 - 148032*u + 1480328/5.
-2*(u - 2)*(u + 370082)/5
Factor 478*v**2/3 - 24064906*v - 604140.
2*(v - 151035)*(239*v + 6)/3
Suppose -147*p**5/5 - 10227*p**4/5 - 37647*p**3 - 1182897*p**2/5 - 1010718*p/5 + 1685448 = 0. What is p?
-45, -12, -51/7, 2
Suppose 4*t**2 + 2683904*t - 37575440 = 0. What is t?
-670990, 14
Factor m**4/5 - 8056*m**3/5 - 2793537*m**2/5.
m**2*(m - 8389)*(m + 333)/5
Find j, given that 3*j**3/8 - 3669*j**2/8 - 16647*j/4 + 4620 = 0.
-10, 1, 1232
Determine k, given that 5*k**5 - 14215*k**4 - 2062240*k**3 - 77045180*k**2 - 283889120*k - 275867840 = 0.
-68, -2, 2983
Solve 4*i**3 + 11676*i**2 - 152304*i + 469120 = 0 for i.
-2932, 5, 8
Find j, given that j**4 - 11578*j**3 + 33489236*j**2 + 135497818*j - 3923674677 = 0.
-13, 9, 5791
Suppose 2080*z**3/7 - 368138*z**2/7 - 3894*z/7 = 0. What is z?
-11/1040, 0, 177
Suppose j**2/2 + 60199*j/2 + 722100 = 0. What is j?
-60175, -24
Let -4*q**3 + 43956*q**2 - 125303328*q + 24734023488 = 0. What is q?
213, 5388
Factor 2*q**3/3 + 11758966*q**2/3 + 17284166053126*q/3 + 17284154294162/3.
2*(q + 1)*(q + 2939741)**2/3
Let -v**4/4 + 1235*v**3 + 7437*v**2/2 - 55565*v - 865025/4 = 0. Calculate v.
-5, 7, 4943
Determine r, given that r**2/3 - 231689*r/3 + 5791600/3 = 0.
25, 231664
What is l in 2*l**5 + 432*l**4 + 19692*l**3 - 373168*l**2 - 392430*l = 0?
-127, -103, -1, 0, 15
Factor 3*m**3 + 16793*m**2 + 61520*m - 78316.
(m - 1)*(m + 5594)*(3*m + 14)
Let -13*f**5 - 4652*f**4 - 198821*f**3 + 234902*f**2 - 31416*f = 0. What is f?
-308, -51, 0, 2/13, 1
Let -t**3/4 + 8279*t**2 + 88288915*t/4 + 28334366099/2 = 0. What is t?
-1261, 35638
Factor 4*o**3 + 3740*o**2 + 728488*o - 31259232.
4*(o - 36)*(o + 349)*(o + 622)
Factor 2*o**2/7 - 5302*o/7 - 3521100/7.
2*(o - 3201)*(o + 550)/7
Solve 3*v**2/4 - 65558479*v/4 - 21852827/2 = 0 for v.
-2/3, 21852827
Factor 4*k**3 - 19112*k**2 + 24786404*k - 4570580080.
4*(k - 2279)**2*(k - 220)
Factor -j**2/4 - 20159147*j/4 - 20159145/2.
-(j + 2)*(j + 20159145)/4
Find i, given that 3*i**4 - 17460*i**3 + 3628761*i**2 + 14742144*i + 11095920 = 0.
-3, -1, 220, 5604
Factor 4*o**3 - 9124*o**2 + 4873224*o - 14537664.
4*(o - 1432)*(o - 846)*(o - 3)
Factor 5*t**2 - 54175*t + 9432330.
5*(t - 10658)*(t - 177)
Factor -g**2 + 62105558*g - 964275083622841.
-(g - 31052779)**2
Find i such that -i**2 + 92567*i - 92566 = 0.
1, 92566
Let -10*h**5 - 39405*h**4 + 975905*h**3 + 17750820*h**2 - 49081660*h + 19983600 = 0. What is h?
-3965, -14, 1/2, 2, 36
Solve k**2/6 + 2879923*k/6 - 2399940 = 0.
-2879928, 5
Let -3*r**5/5 - 4943*r**4/5 - 198054*r**3 + 1335756*r**2/5 + 265832*r = 0. Calculate r.
-1414, -235, -2/3, 0, 2
Factor t**3 - 2123*t**2 - 3379600*t - 1051431616.
(t - 3259)*(t + 568)**2
Factor 5*p**2 + 547210*p - 547215.
5*(p - 1)*(p + 109443)
Find y, given that y**4/2 - 2687*y**3/2 - 86505*y**2 - 329882*y - 324500 = 0.
-59, -2, 2750
Factor -m**3/9 + 2659*m**2/3 - 6200*m + 79700/9.
-(m - 7970)*(m - 5)*(m - 2)/9
Let -2*q**2/7 - 3435582*q/7 = 0. Calculate q.
-1717791, 0
Let -8*d**5/3 + 89554*d**4/3 - 84167658*d**3 + 10502217832*d**2/3 + 18963039232*d/3 + 2736076288 = 0. Calculate d.
-1, -3/4, 44, 5576
Factor -5*c**2 + 1595*c + 2644200.
-5*(c - 904)*(c + 585)
Factor r**2/6 - 37692458*r/3 + 710360695040882/3.
(r - 37692458)**2/6
Let u**4/2 - 189*u**3/2 + 11337*u**2/2 - 222451*u/2 + 105651 = 0. What is u?
1, 43, 54, 91
Let -4*o**3 + 19356*o**2 + 1334980*o - 1354332 = 0. Calculate o.
-69, 1, 4907
Factor -8*v**5 - 324*v**4 - 4200*v**3 - 14896*v**2 + 32928*v.
-4*v*(v + 14)**3*(2*v - 3)
Factor 2*b**3/3 - 2798*b**2/3 + 16732*b/3 - 22288/3.
2*(b - 1393)*(b - 4)*(b - 2)/3
Suppose 4*g**3/5 - 2692*g**2/5 - 787616*g/5 + 1585968/5 = 0. What is g?
-222, 2, 893
Find a such that -20*a**4/3 - 3376*a**3/3 - 50616*a**2 - 274032*a - 396396 = 0.
-429/5, -77, -3
Solve 3*q**5 + 1416*q**4 + 30009*q**3 + 138672*q**2 - 170100*q = 0.
-450, -14, -9, 0, 1
Factor -p**2 - 17935842*p - 17935841.
-(p + 1)*(p + 17935841)
Solve 2*o**3/11 - 3553802*o**2/11 + 143517951488*o - 717581680640 = 0 for o.
5, 888448
What is d in -2*d**5/15 - 3711908*d**4/15 - 1237302*d**3/5 = 0?
-1855953, -1, 0
What is x in -x**4/3 + 371*x**3/6 + 3267*x**2/2 + 4621*x/6 - 4807/6 = 0?
-23, -1, 1/2, 209
Factor -b**2/9 - 2750*b/3 + 1572696.
-(b - 1458)*(b + 9708)/9
Find c such that 2*c**2 + 39865684*c - 39865686 = 0.
-19932843, 1
What is r in -23*r**4/11 + 8263*r**3/11 + 8286*r**2/11 = 0?
-1, 0, 8286/23
Find q such that -22425960*q**3 + 23173372*q**2 - 747408*q - 4 = 0.
-1/186883, 1/30, 1
Determine s, given that -66*s**5/13 - 1858*s**4/13 - 13014*s**3/13 - 30022*s**2/13 - 15000*s/13 + 3800/13 = 0.
-19, -5, -10/3, -1, 2/11
Factor 2*g**2/11 - 2947060*g/11 + 1085645330450/11.
2*(g - 736765)**2/11
Factor q**2/6 - 74527*q/3 - 1640320.
(q - 149120)*(q + 66)/6
Find r, given that -144*r**3/5 - 5533968*r**2/5 + 1844716*r - 768640 = 0.
-38432, 5/6
Factor -q**3/4 + 464679*q**2/4 - 1161685*q/2.
-q*(q - 464674)*(q - 5)/4
Factor o**4/2 + 48590518*o**3 + 1574025707323071*o**2 + 16996165364324913442334*o + 169961574941975915898665/2.
(o + 5)*(o + 32393677)**3/2
Determine w so that -5*w**3 + 9739950*w**2 - 623341440*w + 9973381120 = 0.
32, 1947926
Solve -2*w**5 - 312*w**4 - 2962*w**3 - 6132*w**2 = 0 for w.
-146, -7, -3, 0
Determine u, given that 3*u**5/8 + 57*u**4/8 - 5991*u**3/4 + 19074*u**2 + 100620*u = 0.
-78, -4, 0, 20, 43
Factor 2*s**2 + 616664*s + 125100374.
2*(s + 203)*(s + 308129)
Suppose -x**2/4 - 18539579*x/2 - 343715989497241/4 = 0. Calculate x.
-18539579
Find q such that 2*q**4/5 - 125326*q**3 + 49081578012*q**2/5 + 49083959232*q + 58901653440 = 0.
-3, -2, 156660
Factor -28*t**2/3 - 933486140*t/3 + 266710328/3.
-4*(t + 33338791)*(7*t - 2)/3
Let 4*q**5 - 25216*q**4 + 1326180*q**3 - 6051320*q**2 + 2198816*q + 9601536 = 0. Calculate q.
-1, 2, 4, 48, 6251
What is y in -4*y**4/3 + 21668*y**3/3 + 959036*y**2/3 + 3821524*y + 6422136 = 0?
-21, -2, 5461
Suppose -5*m**5 + 550*m**4 + 93915*m**3 - 9143120*m**2 - 178319360*m - 169082880 = 0. Calculate m.
-129, -16, -1, 128
What is k in -4*k**5/7 - 873468*k**4/7 + 19218760*k**3/7 + 115309752*k**2/7 + 78619068*k/7 - 212274108/7 = 0?
-218389, -3, 1, 27
Solve 5*y**3 - 842045*y**2 + 5894030*y + 6736080 = 0.
-1, 8, 168402
Let n**4/6 + 89*n**3 + 14719*n**2/6 + 6211*n - 26260/3 = 0. Calculate n.
-505, -26, -4, 1
Solve -2*n**5/11 + 23352*n**4/11 + 444172*n**3/11 + 2782872*n**2/11 + 6291574*n/11 + 3929520/11 = 0.
-8, -7, -3, -1, 11695
Factor -i**3/4 - 26457*i**2/4 - 5731983*i/4 - 311745559/4.
-(i + 109)**2*(i + 26239)/4
Let 2*j**2/13 - 48226*j/13 + 18830504/13 = 0. Calculate j.
397, 23716
Determine t, given that -t**2/3 + 4241434*t/3 + 2827624 = 0.
-2, 4241436
Let 5*p**2 + 18985*p - 14020950 = 0. Calculate p.
-4430, 633
Let v**4 - 18541*v**3 - 501393*v**2 + 1058405*v - 538472 = 0. What is v?
-29, 1, 18568
Factor -o**3/6 + 181*o**2/2 - 18551*o/6 + 50531/2.
-(o - 507)*(o - 23)*(o - 13)/6
Let 2*p**3 + 214948*p**2 + 5771459330*p - 208051201800 = 0. Calculate p.
-53755, 36
Let -5*b**2/2 + 35925*b - 13562540 = 0. Calculate b.
388, 13982
Let -35*y**5 - 1105730*y**4 - 45605570*y**3 - 453534180*y**2 + 361105605*y + 139139910 = 0. What is y?
-31551, -21, -2/7, 1
Suppose -14*w**2 + 154953*w/2 - 157662 = 0. What is w?
57/28, 5532
Factor 55*j**2 - 59087920*j - 10743260.
5*(j - 1074326)*(11*j + 2)
Suppose -5*b**3 - 6850*b**2 - 214755*b - 903150 = 0. What is b?
-1338, -27, -5
Suppose -2*n**5 - 41174*n**4 - 617282*n**3 - 2509826*n**2 - 863828*n + 4032112 = 0. What is n?
-20572, -7, -2, 1
Determine p, given that -2*p**3 - 4618402*p**2 + 18473632*p - 18473640 = 0.
-2309205, 2
Solve -49*m**2/2 - 51313962*m - 26868598940178 = 0 for m.
-7330566/7
Solve x**3/3 - 3918166*x**2/3 - 3918167*x/3 = 0.
-1, 0, 3918167
Determine n so that -n**5 - 32782*n**4 - 266189653*n**3 + 40659592744*n**2 - 80520485396*n + 40127115088 = 0.
-16466, 1, 148
Solve 3*a**4 + 576990*a**3 - 1153992*a**2 = 0.
-192332, 0, 2
Factor -q**2 + 22358*q - 3507600.
-(q - 22200)*(q - 158)
Suppose -4293*c**4 - 68718*c**3 - 480*c**2 = 0. What is c?
-16, -10/1431, 0
Factor 2*b**2/3 + 10978*b/3 + 585640.
2*(b + 165)*(b + 5324)/3
Find b, given that 4*b**3 - 270888*b**2 + 812636*b - 541752 = 0.
1, 2, 67719
Find y, given that -y**5/2 