45416*p + 85589462/5 = 0.
7, 6113533
Determine k so that -2*k**5/3 + 157114*k**4/3 - 1570988*k**3/3 + 3770300*k**2/3 - 3456082*k/3 + 1099658/3 = 0.
1, 7, 78547
Factor 5*p**2 - 1082790*p - 311172575.
5*(p - 216845)*(p + 287)
Factor -2*n**2/15 - 3627704*n/15 - 1209234/5.
-2*(n + 1)*(n + 1813851)/15
Let i**5 + 2048*i**4 + 943101*i**3 - 108350338*i**2 + 2429581024*i + 18679161696 = 0. What is i?
-1073, -6, 52
Suppose -3*h**3/4 + 410685*h**2/4 + 1642779*h/4 + 1232091/4 = 0. Calculate h.
-3, -1, 136899
Factor -v**2 - 4846*v - 2048904.
-(v + 468)*(v + 4378)
Factor -3*t**3 + 109599*t**2 + 876936*t + 1753968.
-3*(t - 36541)*(t + 4)**2
Solve -4*m**4 - 5988*m**3 + 183508*m**2 + 408852*m - 586368 = 0 for m.
-1527, -3, 1, 32
Factor 2*f**3 - 4398868*f**2 + 8797730*f - 4398864.
2*(f - 2199432)*(f - 1)**2
Let 26*t**4 - 6969*t**3 + 166*t**2 + 27336*t = 0. What is t?
-51/26, 0, 2, 268
Find b such that -2*b**3/3 - 2414*b**2/3 - 253840*b/3 + 1329800/3 = 0.
-1090, -122, 5
Let -p**4/5 - 1386*p**3/5 - 73257*p**2/5 - 69104*p/5 + 143748/5 = 0. Calculate p.
-1331, -54, -2, 1
Find o, given that -144*o**3/11 + 2892*o**2/11 - 10678*o/11 - 910/11 = 0.
-1/12, 5, 91/6
Suppose 72*r**4 - 37128*r**3 + 4234874*r**2 + 10033436*r + 5882450 = 0. What is r?
-7/6, 175, 343
Find s, given that 2*s**4 + 386*s**3 + 7896*s**2 - 36280*s + 37856 = 0.
-169, -28, 2
Factor 2*k**2/9 - 383512*k/9 + 17637320/9.
2*(k - 191710)*(k - 46)/9
Determine k so that 5*k**4 - 6445*k**3 + 591000*k**2 + 1099453500*k - 5511240000 = 0.
-336, 5, 810
Factor 216*d**2 - 1174174*d/9 - 1208/9.
2*(d - 604)*(972*d + 1)/9
Factor -2*f**4 - 10396*f**3 - 15106962*f**2 - 4151538640*f - 318944871200.
-2*(f + 164)**2*(f + 2435)**2
Factor h**2/2 + 9818813*h + 19637624.
(h + 2)*(h + 19637624)/2
Let 3*j**5 + 66396*j**4 + 597315*j**3 - 132954*j**2 - 4778376*j + 4247616 = 0. Calculate j.
-22123, -8, -4, 1, 2
Factor -962*s**2/5 + 6901*s/5 - 642.
-(2*s - 1)*(481*s - 3210)/5
Suppose 3*g**4/4 + 1239*g**3 - 230211*g**2/4 - 473151*g + 529464 = 0. What is g?
-1697, -8, 1, 52
Find n, given that n**5/3 - 2246*n**4/3 - 77385*n**3 = 0.
-99, 0, 2345
Factor -2*x**2/3 - 4358*x/3 + 950708.
-2*(x - 527)*(x + 2706)/3
Factor -3*n**2 + 6789*n - 1870146.
-3*(n - 1942)*(n - 321)
What is j in 2*j**2/3 - 1223500*j/3 + 1223498/3 = 0?
1, 611749
Determine y so that -y**3 - 14015*y**2/2 - 1073913*y/2 + 821205 = 0.
-6930, -79, 3/2
Determine n so that 3*n**2 - 11048499*n + 22096986 = 0.
2, 3682831
Let -2*j**3/13 - 5711968*j**2/13 + 68543832*j/13 - 15817824 = 0. Calculate j.
-2855996, 6
Suppose 3*b**3/8 - 7923*b**2/8 + 1489917*b/8 + 5636475603/8 = 0. What is b?
-681, 1661
Factor 3*z**2/7 + 69744804*z + 2837530316249076.
3*(z + 81368938)**2/7
What is k in k**2/3 + 2740*k/3 - 135407 = 0?
-2881, 141
Determine b so that 4*b**5 - 240*b**4 - 15136*b**3 - 46968*b**2 + 1614492*b + 1646568 = 0.
-33, -14, -1, 9, 99
Factor 2*q**2/15 - 17518*q/5 + 105068/3.
2*(q - 26267)*(q - 10)/15
Let 10*k**4 + 13781322*k**3 - 66150546*k**2 + 41344118*k + 11025096 = 0. Calculate k.
-1378137, -1/5, 1, 4
Factor -l**3 + 12068*l**2 + 6690069*l.
-l*(l - 12599)*(l + 531)
Find b, given that 2*b**4/5 + 40276*b**3/5 + 844954*b**2/5 + 160936*b = 0.
-20117, -20, -1, 0
Factor 5*s**3 + 15555*s**2 - 234620*s - 531420.
5*(s - 17)*(s + 2)*(s + 3126)
Factor 5*b**3 - 214670*b**2 + 214655*b + 429330.
5*(b - 42933)*(b - 2)*(b + 1)
Suppose 3*i**3 + 40512*i**2 + 3868416*i + 92676096 = 0. What is i?
-13408, -48
Find l such that -l**2/5 + 287764*l/5 - 1726404 = 0.
30, 287734
Factor -p**2/9 - 42138686*p/9 + 14046229/3.
-(p - 1)*(p + 42138687)/9
Factor a**2 - 1078084*a + 290566277764.
(a - 539042)**2
Factor b**3/7 + 29070730*b**2/7.
b**2*(b + 29070730)/7
Let 640*q**2/17 - 821774*q/17 + 17976/17 = 0. What is q?
7/320, 1284
Determine d, given that -2*d**4 - 58098032*d**3 + 232392152*d**2 - 232392160*d = 0.
-29049020, 0, 2
Factor q**2/6 - 389485*q/6 + 778946.
(q - 389473)*(q - 12)/6
Find t such that -5*t**3/2 - 7263871*t**2 - 5276383643238*t - 2110552295076 = 0.
-1452774, -2/5
What is d in -d**2 + 494156*d + 494157 = 0?
-1, 494157
Determine o so that 3*o**2 - 58708788*o + 58708785 = 0.
1, 19569595
Find z such that z**5/6 - 37*z**4/6 + 125*z**3/6 + 2125*z**2/6 - 1041*z - 5208 = 0.
-6, -3, 7, 8, 31
Determine r so that -18*r**5/7 + 10848*r**4/7 - 2156424*r**3/7 + 144941472*r**2/7 - 881670528*r/7 + 74856960 = 0.
2/3, 6, 140, 228
Factor -2*l**2 + 83315746*l - 249947220.
-2*(l - 41657870)*(l - 3)
What is t in -50*t**5 + 82920*t**4 - 6032912*t**3 - 16343484*t**2 + 7258690*t - 749868 = 0?
-3, 1/5, 79, 1582
Find q, given that -2*q**4/15 + 69638*q**3/15 - 626696626*q**2/15 + 354064365922*q/15 + 118230377396/5 = 0.
-1, 606, 17107
Solve -x**4/2 - 171*x**3/2 + 114515*x**2/2 + 461547*x/2 - 287945 = 0.
-433, -5, 1, 266
Factor 2*q**2/9 + 187948*q/9 - 6016384/9.
2*(q - 32)*(q + 94006)/9
Find t, given that -4*t**2/9 - 161564*t/3 - 1453752 = 0.
-121146, -27
Suppose -2*g**2/5 + 847716*g - 449139010410 = 0. What is g?
1059645
What is z in 2*z**2/3 - 6096*z - 2637224/3 = 0?
-142, 9286
Find i such that 10*i**2/7 - 224188*i/7 - 2545488 = 0.
-396/5, 22498
Factor -3*o**2 + 9046242*o - 9046239.
-3*(o - 3015413)*(o - 1)
Factor -v**2/4 - 49603*v/4 + 14096365/2.
-(v - 562)*(v + 50165)/4
Factor -a**3 - 1628*a**2 + 475391*a - 944262.
-(a - 251)*(a - 2)*(a + 1881)
Solve -2*j**2/11 - 1127537296*j/11 - 158917544233873952/11 = 0 for j.
-281884324
Factor -d**2 - 646878*d + 85405320.
-(d - 132)*(d + 647010)
Find a such that 4*a**2 + 77165668*a/3 + 25721888/3 = 0.
-6430472, -1/3
Find u, given that -2*u**2 + 53570372*u - 358723094527298 = 0.
13392593
Let 1482*n**3 - 74104*n**2 - 786742*n + 2124 = 0. What is n?
-9, 2/741, 59
Let -363*l**5/7 - 6666*l**4/7 + 216600*l**3/7 + 4839120*l**2/7 + 12579408*l/7 - 46129824/7 = 0. What is l?
-222/11, -6, 2, 26
Suppose 961*g**3 + 149293396*g**2 - 577920720*g + 559281600 = 0. Calculate g.
-155356, 60/31
Suppose -4*a**3/7 + 555616*a**2 - 23335764*a/7 + 35003592/7 = 0. What is a?
3, 972322
Let -n**3/4 + 21725*n**2/4 + 152222*n + 1065897 = 0. What is n?
-14, 21753
Let -g**3/2 + 150323*g**2 + 1202608*g + 2405232 = 0. What is g?
-4, 300654
Suppose -5*k**4 - 54615*k**3 + 109250*k**2 = 0. What is k?
-10925, 0, 2
Solve 2*x**3/19 + 5028*x**2/19 + 963070*x/19 - 968100/19 = 0 for x.
-2305, -210, 1
Suppose -h**2 - 424738*h + 424739 = 0. What is h?
-424739, 1
What is v in v**5/5 - 11877*v**4/5 - 1074677*v**3/5 - 28143591*v**2/5 - 176606024*v/5 - 321864432/5 = 0?
-41, -4, 11967
Factor s**3/4 - 5063*s**2/4 + 346785*s/2 + 531576.
(s - 4922)*(s - 144)*(s + 3)/4
Find a, given that -185*a**2 + 116635*a/2 - 258225/2 = 0.
165/74, 313
Find g such that -g**4/8 - 146390*g**3 - 4684349*g**2/8 + 67338995*g/4 - 51236325 = 0.
-1171116, -14, 5
Solve 2*g**5/3 + 40*g**4/3 - 1144*g**3 - 15776*g**2/3 + 278144*g/3 - 217600 = 0 for g.
-50, -12, 4, 34
Suppose -p**3/6 - 66605*p**2/6 + 277625*p = 0. What is p?
-66630, 0, 25
What is c in 5*c**2 - 18776630*c + 17628091707845 = 0?
1877663
Factor 2*a**3/7 - 777032*a**2/7 + 75469232904*a/7 + 603803594304/7.
2*(a - 194262)**2*(a + 8)/7
Factor n**2/2 + 955*n/2 - 33693.
(n - 66)*(n + 1021)/2
Solve -3*t**5 - 38631*t**4 - 501795*t**3 - 1273629*t**2 - 1196382*t - 385920 = 0.
-12864, -10, -1
Factor -4*q**2 + 586616300*q - 586616296.
-4*(q - 146654074)*(q - 1)
Suppose 5*j**2 + 1083645*j - 50942360 = 0. Calculate j.
-216776, 47
Suppose 4*b**2 - 135824*b + 179445132 = 0. What is b?
1377, 32579
Factor -2*u**2 - 403578700*u - 20359470886711250.
-2*(u + 100894675)**2
Factor -3*y**2 + 193071*y - 2895390.
-3*(y - 64342)*(y - 15)
Determine n, given that -3*n**5/4 - 50649*n**4 - 8099871*n**3/4 - 28043961*n**2/2 - 34927542*n - 29156544 = 0.
-67492, -32, -3, -2
Let -3*y**3 + 6384*y**2 - 76281*y + 222180 = 0. Calculate y.
5, 7, 2116
Factor -4*s**2/3 - 14090966*s/3 - 2348494.
-2*(s + 3522741)*(2*s + 1)/3
Factor 5*v**3 + 4186045*v**2 + 876138171895*v - 4380795511225.
5*(v - 5)*(v + 418607)**2
Let 2*y**3/11 - 10700*y**2/11 + 14780600*y/11 - 1245042000/11 = 0. What is y?
90, 2630
Suppose -2*i**5/5 + 64*i**4 + 8806*i**3/5 + 80484*i**2/5 + 60840*i + 79920 = 0. What is i?
-10, -6, -3, 185
What is k in 34*k**5/3 + 527480*k**4/3 + 3226096*k**3/3 + 6699776*k**2/3 + 4962592*k/3 + 496256/3 = 0?
-15508, -2, -2/17
Determine c, given that 2