3
Find a, given that -18*a**3 + 12638*a**2 - 21611120*a/9 + 565464800/9 = 0.
31, 3020/9
Find f, given that f**4 - 6965*f**3 + 55677*f**2 - 146115*f + 125226 = 0.
2, 3, 6957
Factor -2*l**2/11 + 3776*l/11 - 559224/11.
-2*(l - 1726)*(l - 162)/11
What is u in -2*u**5/23 + 642*u**4/23 + 44790*u**3/23 + 22702*u**2/23 - 1414068*u/23 + 2777040/23 = 0?
-58, -7, 3, 380
Factor -3*l**2 - 3797862*l + 3797865.
-3*(l - 1)*(l + 1265955)
Let 2*z**3/13 + 977684*z**2/13 - 17598798*z/13 + 79195320/13 = 0. What is z?
-488860, 9
Suppose -26115227413636*h**2/9 + 40882448*h/9 - 16/9 = 0. What is h?
2/2555153
Let -m**5/6 + 4169*m**4/6 - 4173559*m**3/6 - 356503229*m**2/6 - 4889404000*m/3 - 44262156250/3 = 0. Calculate m.
-29, -26, 2125
Suppose 12*f**5/5 - 48459*f**4/5 + 46211838*f**3/5 + 5537091621*f**2/5 + 4013021196*f - 5363066592/5 = 0. What is f?
-104, -4, 1/4, 2073
Factor -f**2/7 + 8929*f/7 + 921162/7.
-(f - 9031)*(f + 102)/7
Factor 3*m**3 - 2933523*m**2 - 3*m + 2933523.
3*(m - 977841)*(m - 1)*(m + 1)
Find p such that -2*p**4/7 + 198*p**3/7 - 5230*p**2/7 + 50250*p/7 - 144000/7 = 0.
5, 15, 64
Let 2967*s**4 - 109818*s**3 + 577041*s**2 - 743382*s + 9672 = 0. Calculate s.
13/989, 2, 4, 31
Find h, given that 18*h**4 + 45687*h**3 - 3086979*h**2 - 3223950*h + 6265224 = 0.
-2604, -2, 1, 401/6
What is o in o**2 + 6991*o - 260036 = 0?
-7028, 37
Solve g**3 - 16783*g**2 - 403345*g - 386561 = 0 for g.
-23, -1, 16807
Factor -4*a**2 - 1063192*a + 3189612.
-4*(a - 3)*(a + 265801)
Let 2*s**3/7 - 27756*s**2/7 + 110998*s/7 - 11892 = 0. Calculate s.
1, 3, 13874
Factor -5*i**3 + 2315440*i**2 - 268132569380*i + 16079619658800.
-5*(i - 231514)**2*(i - 60)
Factor -2*a**3/5 - 30241228*a**2/5.
-2*a**2*(a + 15120614)/5
Factor -2*p**4/5 + 275186*p**3/5 + 330234*p**2 + 2476782*p/5.
-2*p*(p - 137599)*(p + 3)**2/5
Suppose 4*h**5 - 40556*h**4 - 1956316*h**3 + 4196444*h**2 + 6112200*h = 0. What is h?
-50, -1, 0, 3, 10187
Factor -36*l**2 + 573436*l + 127432.
-4*(l - 15929)*(9*l + 2)
Factor 4*y**2 + 36838*y - 55266.
2*(y + 9211)*(2*y - 3)
Let 5*r**2 - 4283250*r + 4283245 = 0. Calculate r.
1, 856649
Find b such that 34*b**4 + 15422*b**3 - 294696*b**2 + 366952*b + 320960 = 0.
-472, -10/17, 2, 17
Factor 3*j**3 + 1037304*j**2 + 141031728*j + 4794607104.
3*(j + 68)**2*(j + 345632)
Solve 8*b**5 - 15662*b**4 - 129645*b**3 - 218210*b**2 - 31468*b + 23592 = 0.
-6, -2, -1/2, 1/4, 1966
Suppose 2*t**3/3 + 1947396*t**2 + 3894790*t + 5842184/3 = 0. What is t?
-2921092, -1
Factor 4*d**4 + 13152*d**3 + 7465140*d**2 - 5876157096*d.
4*d*(d - 426)*(d + 1857)**2
Factor 4*f**2 - 99980*f - 900144.
4*(f - 25004)*(f + 9)
Factor -3*z**2 - 14661906*z - 131956911.
-3*(z + 9)*(z + 4887293)
Suppose -112*y**5 - 17044*y**4 - 365172*y**3 + 3225544*y**2 - 2449856*y + 416640 = 0. Calculate y.
-124, -35, 1/4, 4/7, 6
Factor 2*s**3/9 + 1121648*s**2/9 + 2243290*s/9 + 1121644/9.
2*(s + 1)**2*(s + 560822)/9
Factor c**2/4 - 6592461*c/4 - 3296231/2.
(c - 6592462)*(c + 1)/4
Factor 2*o**2/9 + 968644*o/3 + 1937280.
2*(o + 6)*(o + 1452960)/9
Find s such that -2*s**2/5 + 68916*s/5 - 1308682/5 = 0.
19, 34439
Let p**2 + 4132*p - 255773 = 0. Calculate p.
-4193, 61
Factor 4*s**4 - 3360*s**3 - 133948*s**2 + 431976*s.
4*s*(s - 878)*(s - 3)*(s + 41)
Factor 5*s**2 - 383185*s - 3065800.
5*(s - 76645)*(s + 8)
Factor 10*l**2 + 337225*l - 505860.
5*(l + 33724)*(2*l - 3)
Solve 47*k**4 + 1545*k**3 + 6664*k**2 + 7020*k - 1008 = 0.
-28, -3, -2, 6/47
Suppose -2*u**3 + 2570*u**2 + 133402*u + 130830 = 0. What is u?
-49, -1, 1335
Solve -3*w**2 - 41952414*w = 0 for w.
-13984138, 0
What is z in 2*z**4/15 - 542*z**3/3 + 457892*z**2/15 + 608784*z = 0?
-18, 0, 220, 1153
Suppose 285*x**2 + 379085*x = 0. What is x?
-75817/57, 0
Find a such that 25141254*a**5/11 + 75448326*a**4/11 + 75497460*a**3/11 + 25214964*a**2/11 + 24582*a/11 + 6/11 = 0.
-1, -1/2047
Solve 3*a**4/4 - 44673*a**3/4 - 2016639*a**2/4 + 4167285*a/4 - 526494 = 0.
-47, 1, 14936
Let 4*y**2 - 80888536*y + 408934703513956 = 0. What is y?
10111067
Factor 3*c**2/7 - 41181942*c/7 + 205909635/7.
3*(c - 13727309)*(c - 5)/7
Determine z, given that 2*z**3/5 - 2776*z**2/5 + 24862*z/5 - 11032 = 0.
4, 5, 1379
Factor 4*c**2 - 356136*c + 1424480.
4*(c - 89030)*(c - 4)
Factor 2*w**2/19 + 96*w/19 - 1484936/19.
2*(w - 838)*(w + 886)/19
Factor -77*o**3 - 4316*o**2/7 - 8656*o/7 - 64/7.
-(o + 4)**2*(539*o + 4)/7
Factor 5*p**2 - 61441600*p - 245766480.
5*(p - 12288324)*(p + 4)
Let -2*x**2 + 29262*x - 7754940 = 0. Calculate x.
270, 14361
Let r**3/7 + 769341*r**2/7 + 2308016*r/7 + 1538676/7 = 0. Calculate r.
-769338, -2, -1
Solve 25*s**5/2 - 3489*s**4 + 75806*s**3 - 468159*s**2 + 884587*s/2 - 46464 = 0 for s.
3/25, 1, 11, 256
Factor 3*f**3 + 130839*f**2 - 261690*f.
3*f*(f - 2)*(f + 43615)
Determine l so that -4*l**3/5 - 27824*l**2/5 - 4162196*l/5 + 1687144 = 0.
-6803, -155, 2
Find k such that 3*k**2 - 66017646*k + 363194131948443 = 0.
11002941
Factor -25*z**4 + 7980380*z**3 - 636944448244*z**2 + 12736494950880*z - 63678484814400.
-(z - 10)**2*(5*z - 797988)**2
Factor -512*z**3/7 + 1188928*z**2/7 - 99024654*z + 3436203690/7.
-2*(z - 5)*(16*z - 18537)**2/7
Factor b**2/3 - 11087302*b/3 + 30732066409801/3.
(b - 5543651)**2/3
What is n in 2*n**5/11 - 1290*n**4/11 + 3840*n**3/11 + 7760*n**2/11 - 36000*n/11 + 30816/11 = 0?
-3, 2, 642
Solve -8940082060009*c**2/3 - 813279184*c/3 - 18496/3 = 0 for c.
-136/2989997
Let -22356*z**2 + 1162112*z + 20800 = 0. What is z?
-100/5589, 52
Let -2*g**4/7 + 19362*g**3 - 2313231674*g**2/7 + 576570437682*g/7 + 578883804892/7 = 0. What is g?
-1, 254, 33757
Suppose 3*l**5/4 - 9135*l**4/4 + 8698947*l**3/4 - 2456997537*l**2/4 - 1241570043*l/2 + 1232861952 = 0. What is l?
-2, 1, 512, 1267
Suppose -2*l**2 + 80290*l - 2967992 = 0. Calculate l.
37, 40108
Suppose -b**2/3 - 2855*b/3 + 6884392 = 0. Calculate b.
-6191, 3336
What is t in -3*t**5 - 4262*t**4 - 128239*t**3 - 498880*t**2 + 180700*t = 0?
-1390, -26, -5, 0, 1/3
Determine k, given that -3*k**3 - 218067*k**2 + 3707958*k - 3489888 = 0.
-72706, 1, 16
Suppose -4*c**2 + 1910056472*c - 228019732889317924 = 0. What is c?
238757059
Factor 2*m**3 - 1379486*m**2 + 2758948*m + 11035856.
2*(m - 689741)*(m - 4)*(m + 2)
Solve 2*u**3/19 - 952*u**2/19 + 4480*u + 5056000/19 = 0.
-40, 200, 316
Factor -7*l**3 + 1018*l**2 - 1432*l - 1152.
-(l - 144)*(l - 2)*(7*l + 4)
Let -3*b**3 + 252771*b**2 + 7585830*b = 0. Calculate b.
-30, 0, 84287
Suppose 8155624470125000*u**2/3 - 255431000*u + 6 = 0. Calculate u.
3/63857750
Factor -k**2/4 - 65731*k/4 + 328705/2.
-(k - 10)*(k + 65741)/4
Determine p, given that 2*p**3/5 - 14802*p**2/5 - 83242*p + 1381794/5 = 0.
-31, 3, 7429
Solve 2*y**4/5 - 8054*y**3/5 + 7342878*y**2/5 - 2531313026*y/5 + 301822000472/5 = 0 for y.
373, 2908
What is y in -y**2/4 + 3752*y + 7067505/4 = 0?
-457, 15465
Suppose -27*v**5/5 - 4620*v**4 + 80823*v**3/5 + 804456*v**2/5 + 370704*v/5 - 329856/5 = 0. What is v?
-859, -4, -1, 4/9, 8
Solve 8*z**5/7 - 1814*z**4/7 + 2834*z**3 + 11106910*z**2/7 - 33487750*z/7 - 44573000/7 = 0.
-265/4, -1, 4, 145
What is b in -b**3/2 + 4527796*b**2 + 18111187*b/2 + 4527797 = 0?
-1, 9055594
Factor k**2/2 + 532185*k/2 + 532183.
(k + 2)*(k + 532183)/2
Find x such that 2*x**5 + 516*x**4 - 32768*x**3 + 61884*x**2 + 95166*x = 0.
-311, -1, 0, 3, 51
Factor -x**4 + 72056*x**3 - 1298665126*x**2 + 23358465576*x - 105086837241.
-(x - 36019)**2*(x - 9)**2
Find a such that 5*a**3 + 775635*a**2 + 30087849840*a + 571389177020 = 0.
-77554, -19
Determine k so that -338*k**4 + 4285398*k**3 + 52793304*k**2 + 15939800*k + 1218336 = 0.
-12, -2/13, 12691
Let -s**4/3 + 9680*s**3 - 58076*s**2/3 = 0. Calculate s.
0, 2, 29038
Determine w so that -2*w**4/5 + 17008*w**3/5 + 5298144*w**2/5 - 176275810304*w/5 - 214836931493888/5 = 0.
-1732, 5984
Factor k**3/4 - 4460963*k**2/4.
k**2*(k - 4460963)/4
What is l in -2*l**4/5 + 7218*l**3/5 + 567342*l**2/5 + 1113022*l/5 + 110580 = 0?
-75, -1, 3686
Let p**3 - 9139*p**2 - 229000*p - 916400 = 0. What is p?
-20, -5, 9164
Factor -g**2/7 - 265784*g/7 + 68372537/7.
-(g - 257)*(g + 266041)/7
Factor -4*k**3/7 + 6491328*k**2/7 - 2633538260340*k/7 - 5267258279432.
-4*(k - 811423)**2*(k + 14)/7
Let -4*m**2 - 22570192*m + 22570196 = 0. Calculate m.
-5642549, 1
What is f in 2*f**2 - 4910639*f - 22097916 = 0?
-9/2, 2455324
Let 2*s**5 - 868*s