1)
Suppose -4*n**5 + 158480*n**4 + 9201308*n**3 + 158217768*n**2 + 717988752*n + 965603808 = 0. What is n?
-26, -3, 39678
Suppose 3*o**5 - 48960*o**4 - 146925*o**3 + 293790*o**2 + 391752*o = 0. What is o?
-4, -1, 0, 2, 16323
What is g in 3*g**3 + 188391*g**2 - 5277387*g - 5465775 = 0?
-62825, -1, 29
Find l such that -5*l**5 - 810*l**4 + 124350*l**3 + 129140*l**2 - 628065*l + 375390 = 0.
-258, -3, 1, 97
Find d, given that -16*d**4 - 15588*d**3 - 2274984*d**2 + 42623108*d + 10797720 = 0.
-790, -201, -1/4, 17
Factor -21*q**2/2 + 382107*q/2 + 26454519.
-3*(q - 18333)*(7*q + 962)/2
Suppose -3*y**2 + 18576*y - 21407973 = 0. Calculate y.
1531, 4661
Factor 5*r**2/3 + 1250120*r/3 + 2500220/3.
5*(r + 2)*(r + 250022)/3
Determine x, given that x**2/3 + 84871*x + 2546030/3 = 0.
-254603, -10
Determine k, given that 3*k**2 - 372981807*k - 372981810 = 0.
-1, 124327270
What is d in d**4 + 13069*d**3 - 287849*d**2 + 2002599*d - 4241484 = 0?
-13091, 4, 9
Find h such that 2*h**3 + 25698*h**2 + 2625676*h = 0.
-12746, -103, 0
Factor -4*j**3 + 39060*j**2 - 24121500*j + 3851087500.
-4*(j - 9115)*(j - 325)**2
Let -2*o**4/9 - 486638*o**3/9 - 811052*o**2/3 - 3893032*o/9 - 1946512/9 = 0. Calculate o.
-243314, -2, -1
Find x such that -2*x**2/9 - 24052*x - 72154 = 0.
-108231, -3
Factor -2*x**3/13 - 3894536*x**2/13 + 7789078*x/13 - 299580.
-2*(x - 1)**2*(x + 1947270)/13
Determine i, given that i**2/3 - 1025963*i + 30778790/3 = 0.
10, 3077879
Suppose 4*r**2 + 57444*r + 2462696 = 0. Calculate r.
-14318, -43
Suppose u**4 - 595*u**3 - 8482*u**2 - 26756*u - 24360 = 0. Calculate u.
-10, -2, 609
Find n such that 94*n**3 - 1507388*n**2 - 74023366*n + 3152660 = 0.
-49, 2/47, 16085
Factor -316535*k**3 - 10*k**2.
-5*k**2*(63307*k + 2)
Factor -g**2/9 + 301897*g/9 - 301888.
-(g - 301888)*(g - 9)/9
Let p**4/5 - 1464757*p**3/5 + 536380464387*p**2/5 - 1609122351371*p/5 - 2145504280516/5 = 0. What is p?
-1, 4, 732377
Factor 4*q**3 - 235756*q**2 - 40638784*q - 1748739824.
4*(q - 59111)*(q + 86)**2
Factor 2*c**5 - 66*c**4 - 822*c**3 + 2842*c**2 - 2964*c + 1008.
2*(c - 42)*(c - 1)**3*(c + 12)
Factor p**2/2 - 437490*p + 2624931/2.
(p - 874977)*(p - 3)/2
Find k such that k**2/4 - 2506*k - 737081/4 = 0.
-73, 10097
Factor 2*n**2/3 - 54844988*n/3 + 18281662.
2*(n - 27422493)*(n - 1)/3
Solve 3*k**4 - 9231*k**3 - 2490117*k**2 - 17070201*k - 24253830 = 0.
-243, -5, -2, 3327
Let -4*x**2 + 34076*x + 204600 = 0. What is x?
-6, 8525
Solve -j**2/3 + 1184*j/3 + 2008832/3 = 0.
-944, 2128
Solve -5*s**5 + 4385*s**4 - 242250*s**3 + 3891940*s**2 - 7956520*s - 110728800 = 0.
-4, 10, 26, 819
Factor -i**3 - 141930*i**2 - 8654009*i.
-i*(i + 61)*(i + 141869)
What is n in -2*n**3/3 - 258514*n**2/3 + 1292608*n/3 - 517048 = 0?
-129262, 2, 3
Suppose -537*u**3/2 - 89137*u**2/2 + 90509*u/2 - 835/2 = 0. Calculate u.
-167, 5/537, 1
Find s such that -2*s**4 - 4144*s**3 - 234448*s**2 - 1660736*s - 2416800 = 0.
-2014, -50, -6, -2
Solve 8*r**5 + 212*r**4 - 568*r**3 - 13728*r**2 - 35856*r - 14580 = 0.
-27, -5, -3, -1/2, 9
Factor 2*w**2/9 + 1646*w - 139832.
2*(w - 84)*(w + 7491)/9
Factor p**2 - 5745665*p + 17236986.
(p - 5745662)*(p - 3)
Find a such that a**3/10 + 1829*a**2/10 + 122303*a/5 + 358692/5 = 0.
-1684, -142, -3
Let -2*o**4/13 - 21186*o**3 - 4130916*o**2/13 - 1016824*o - 12117072/13 = 0. What is o?
-137694, -11, -2
Factor -5*v**2 + 7624260*v - 274466880.
-5*(v - 1524816)*(v - 36)
Let -4142*x**2/7 - 33142*x/7 - 48/7 = 0. Calculate x.
-8, -3/2071
Suppose -j**4/5 + 111638*j**3/5 - 3117100048*j**2/5 + 74753141658*j/5 - 196208538687/5 = 0. What is j?
3, 21, 55807
Factor t**3 - 520*t**2 - 195569*t.
t*(t - 773)*(t + 253)
Let -16825*c**4 - 1615070*c**3 - 40317045*c**2 - 74021240*c + 574340 = 0. What is c?
-47, -2, 26/3365
Factor -5*u**2 + 10339495*u - 10339490.
-5*(u - 2067898)*(u - 1)
Factor 1630*u**2 - 162027*u + 497.
(5*u - 497)*(326*u - 1)
Factor x**3/2 + 17*x**2/2 - 2410*x - 70818.
(x - 74)*(x + 33)*(x + 58)/2
Suppose -4*j**5/7 - 1312*j**4/7 - 11328*j**3 - 271040*j**2 - 2875712*j - 11327232 = 0. Calculate j.
-258, -28, -14
Solve -2*x**2 - 9412738*x - 94127180 = 0 for x.
-4706359, -10
Solve -28*r**5 + 49836*r**4 - 42668*r**3 - 49836*r**2 + 42696*r = 0 for r.
-1, 0, 6/7, 1, 1779
Factor -5*d**2/2 + 4008260*d + 32066240.
-5*(d - 1603312)*(d + 8)/2
Find t, given that -3*t**4 - 459*t**3 - 903*t**2 + 459*t + 906 = 0.
-151, -2, -1, 1
Factor 3*o**3/2 - 9*o**2/2 - 867240*o - 252946314.
3*(o - 879)*(o + 438)**2/2
Suppose 2*f**5/5 + 122508*f**4/5 + 1900367052*f**3/5 + 745460973272*f**2/5 + 14661631078602*f - 149613359575716/5 = 0. What is f?
-30427, -201, 2
Factor -2*o**2 + 39642628*o + 39642630.
-2*(o - 19821315)*(o + 1)
Find u, given that -17*u**3/5 - 2187*u**2/5 - 15978*u/5 - 30008/5 = 0.
-121, -4, -62/17
Solve 2*q**2/9 - 4613296*q = 0 for q.
0, 20759832
Solve p**2 + 27933*p + 251316 = 0.
-27924, -9
Let 2*p**2 + 26152722*p + 26152720 = 0. Calculate p.
-13076360, -1
Factor -p**2 - 136543980*p + 136543981.
-(p - 1)*(p + 136543981)
Find w, given that -3571*w**4/4 - 571357*w**3/2 - 1131527*w**2 - 1126534*w + 1896 = 0.
-316, -2, 6/3571
Suppose k**4 - 5371570*k**3 + 7213451809341*k**2 - 28853656833564*k - 86561163877068 = 0. Calculate k.
-2, 6, 2685783
What is d in -1125*d**3 + 1726470*d**2 - 575365*d = 0?
0, 1/3, 115073/75
Determine h so that -h**3/6 - 7771*h**2/2 + 420363*h/2 - 5678181/2 = 0.
-23367, 27
What is p in -p**4 + 65088*p**3 - 1015331550*p**2 - 1439178652384*p - 1438163255745 = 0?
-1305, -1, 33197
Solve -s**5/9 + 14*s**4 + 4168*s**3/3 + 238336*s**2/9 = 0 for s.
-38, -32, 0, 196
Factor -6*f**2/11 - 393604308*f/11 - 6455181303173286/11.
-6*(f + 32800359)**2/11
Solve z**3 + 112856*z**2 - 225716*z = 0.
-112858, 0, 2
Determine d so that -3*d**3/4 - 42627*d**2/2 + 213210*d = 0.
-28428, 0, 10
Find v, given that v**2 - 2022862*v + 1022992667761 = 0.
1011431
Find f, given that f**5/5 - 23538*f**4/5 - 164842*f**3/5 + 635744*f**2/5 - 136563*f + 47090 = 0.
-10, 1, 23545
Determine m so that -m**4 - 306*m**3 - 22035*m**2 + 167662*m - 145320 = 0.
-173, -140, 1, 6
Determine u so that 2*u**2 + 18144*u - 28045256 = 0.
-10418, 1346
Solve 5*s**5 + 250*s**4 - 2760*s**3 - 5350*s**2 + 50755*s + 53100 = 0.
-59, -4, -1, 5, 9
Determine u so that 3*u**3/7 + 32682*u**2/7 - 98157*u/7 - 130764 = 0.
-10897, -4, 7
Determine w, given that -5*w**5 - 2500*w**4 + 49040*w**3 - 138830*w**2 - 670635*w + 762930 = 0.
-519, -3, 1, 7, 14
Factor 4*r**3 + 43244*r**2 + 1937696*r - 1980944.
4*(r - 1)*(r + 46)*(r + 10766)
Find i such that -3*i**2 + 361260390*i - 10875755781912675 = 0.
60210065
Find j such that -2*j**3/3 - 4229*j**2/2 - 567002*j + 425648/3 = 0.
-2876, -296, 1/4
Let 2*h**2 - 16010*h/11 + 2142288/11 = 0. Calculate h.
1944/11, 551
Suppose -5*d**2 - 2794415*d + 2794420 = 0. What is d?
-558884, 1
Suppose -19*i**5 + 558124*i**4 + 1145701*i**3 + 58754*i**2 = 0. What is i?
-2, -1/19, 0, 29377
Let 85*f**5 - 265*f**4 - 117440*f**3 - 643060*f**2 + 1861600*f - 209920 = 0. What is f?
-32, -8, 2/17, 2, 41
Find w, given that 4027973445*w**2 - 52508550*w + 171125 = 0.
185/28383
Let -2*m**2/11 - 14246*m/11 - 2255064 = 0. Calculate m.
-4092, -3031
Factor -k**3 - 971*k**2 - 166188*k - 328500.
-(k + 2)*(k + 219)*(k + 750)
Find j such that -48*j**5 - 5564*j**4 + 6368*j**3 + 33204*j**2 - 2808*j = 0.
-117, -2, 0, 1/12, 3
Let m**2/8 + 310979*m/8 - 77745/2 = 0. What is m?
-310980, 1
Factor -4*b**3/9 - 175088*b**2/9 + 77824*b.
-4*b*(b - 4)*(b + 43776)/9
Factor -m**2 + 2389816*m - 1427805128464.
-(m - 1194908)**2
Determine x so that -2*x**5 - 59126*x**4 + 4027504*x**3 - 68506872*x**2 = 0.
-29631, 0, 34
Factor -417711844*h**2/7 - 75293592*h - 23750748.
-4*(10219*h + 6447)**2/7
Let 3*f**5/7 + 516*f**4/7 - 3312*f**3/7 - 18576*f**2/7 + 115344*f/7 = 0. Calculate f.
-178, -6, 0, 6
Factor -3*w**4 - 1369623*w**3 + 36982008*w**2.
-3*w**2*(w - 27)*(w + 456568)
Solve -2*h**2/13 + 23254176*h/13 + 46508360/13 = 0.
-2, 11627090
Factor u**3/3 - 79*u**2 + 5486*u/3.
u*(u - 211)*(u - 26)/3
Solve -2*z**4/25 - 52038*z**3/25 + 1302064*z**2/25 - 3541896*z/25 + 2291872/25 = 0.
-26044, 1, 2, 22
Factor -2*k**2/9 + 48969430*k/9.
-2*k*(k - 24484715)/9
Find v, given that -4*v**3 + 942488*v**2 + 17908716*v = 0.
-19, 0, 235641
Factor 6502500*l**2 - 222686400*l + 1906544896.
4*(1275*l - 21832)**2
Determine z, g