/7
Factor 24*z**5 - 244*z**4 + 904*z**3 - 1440*z**2 + 864*z - 108.
4*(z - 3)**3*(z - 1)*(6*z - 1)
Factor -3*m**3 + 33*m**2 + 4560*m - 18576.
-3*(m - 43)*(m - 4)*(m + 36)
Suppose 3*u**4/4 + 261*u**3/4 - 2253*u**2/4 + 2619*u/4 + 2565/2 = 0. Calculate u.
-95, -1, 3, 6
Factor 4*y**3/7 - 2090*y**2/7 + 48024*y - 2453976.
2*(y - 126)**2*(2*y - 541)/7
Determine i, given that -3*i**5 - 1296*i**4 - 5133*i**3 + 1332*i**2 + 20580*i + 15408 = 0.
-428, -3, -2, -1, 2
Factor -2*q**2/5 - 6442*q/5 + 6444/5.
-2*(q - 1)*(q + 3222)/5
Let 2*w**5/13 - 544*w**4 + 6272834*w**3/13 - 37467436*w**2/13 + 74821880*w/13 - 49843600/13 = 0. Calculate w.
2, 1765
Factor z**2 - 230582*z + 13292014681.
(z - 115291)**2
Factor -2*a**2/7 + 176088*a/7 + 176090/7.
-2*(a - 88045)*(a + 1)/7
Determine c, given that c**5/8 + 77*c**4/8 + 1187*c**3/8 - 11429*c**2/8 + 2373*c - 2205/2 = 0.
-42, 1, 5
Factor q**3/9 - 836*q**2/9 - 20617*q/9 - 19780/9.
(q - 860)*(q + 1)*(q + 23)/9
Let m**5/5 + 107*m**4/5 - 617*m**3/5 - 6483*m**2/5 - 11088*m/5 = 0. Calculate m.
-112, -3, 0, 11
Find u, given that 2*u**3 + 2*u**2 - 28*u - 48 = 0.
-3, -2, 4
Determine v, given that 2*v**5/13 + 12*v**4/13 - 396*v**3/13 + 800*v**2/13 + 2826*v/13 + 1620/13 = 0.
-18, -1, 5, 9
What is g in -2*g**4/19 + 14*g**3/19 + 294*g**2/19 - 686*g/19 - 9604/19 = 0?
-7, 7, 14
Suppose -2*u**4/7 - 2978*u**3 - 54309040*u**2/7 + 54329888*u/7 = 0. What is u?
-5212, 0, 1
Solve v**2 + 99*v/4 - 26695/4 = 0 for v.
-95, 281/4
Let i**2/4 + 16096*i + 259081216 = 0. What is i?
-32192
Factor 3*t**2 + 122844*t - 122847.
3*(t - 1)*(t + 40949)
Let -25*h**4 - 210*h**3 + 16420*h**2 + 6600*h = 0. What is h?
-30, -2/5, 0, 22
Factor -z**2/6 + 341*z/6 - 969.
-(z - 323)*(z - 18)/6
Solve 30*u**3/11 + 68*u**2/11 - 432*u/11 - 896/11 = 0 for u.
-4, -2, 56/15
Factor -5*t**2 + 1299230*t - 84399929645.
-5*(t - 129923)**2
Let z**4 + 6813*z**3 + 11607648*z**2 + 11600836*z = 0. What is z?
-3406, -1, 0
Factor -d**3/8 - 3179*d**2/4 + 31815*d/8.
-d*(d - 5)*(d + 6363)/8
Factor 3*v**3/8 - 2661*v**2/8 + 79236*v - 4763745/2.
3*(v - 426)**2*(v - 35)/8
Factor -3*j**2 + 645*j.
-3*j*(j - 215)
Factor -f**3/3 - 60*f**2 + 439*f + 1496/3.
-(f - 8)*(f + 1)*(f + 187)/3
What is s in 3*s**2 - 13953*s - 805068 = 0?
-57, 4708
Factor -12*l**2 - 9073*l - 756.
-(l + 756)*(12*l + 1)
Let 3*y**5/4 - 1281*y**4/4 + 5091*y**3/4 - 6351*y**2/4 + 1269*y/2 = 0. What is y?
0, 1, 2, 423
Determine i so that -5*i**5 - 4025*i**4 - 831755*i**3 - 8700155*i**2 - 6224960*i + 15760900 = 0.
-397, -10, -2, 1
Determine q, given that 20736*q**3 + 138816*q**2 + 190564*q + 74420 = 0.
-5, -61/72
What is m in -2*m**5/21 + 22*m**4/7 - 208*m**3/21 - 760*m**2/21 + 576*m/7 + 3712/21 = 0?
-2, 4, 29
Factor 2*m**3/5 - 98*m**2/5 + 1096*m/5 + 520.
2*(m - 26)*(m - 25)*(m + 2)/5
Determine g so that 54*g**2/13 + 8374*g/13 + 620/13 = 0.
-155, -2/27
Solve y**2 - 11419*y = 0 for y.
0, 11419
Factor 7*x**2/2 - 128316*x - 36662.
(x - 36662)*(7*x + 2)/2
Determine s, given that -2*s**2/9 - 1262*s/3 - 1260 = 0.
-1890, -3
Factor -2*m**2/9 + 126*m - 1840.
-2*(m - 552)*(m - 15)/9
Solve -2*k**2/13 + 406*k/13 - 18864/13 = 0.
72, 131
Let -5*b**4 + 172440*b**3 = 0. What is b?
0, 34488
Suppose 5*d**3 - 113220*d**2 + 640938420*d = 0. What is d?
0, 11322
Find m such that 4*m**5 + 12*m**4 - 112*m**3 - 144*m**2 + 576*m = 0.
-6, -3, 0, 2, 4
Factor 4*t**4 - 2200*t**3 + 313200*t**2 - 2916000*t.
4*t*(t - 270)**2*(t - 10)
Factor u**2/3 - 1113*u + 6674/3.
(u - 3337)*(u - 2)/3
Determine n, given that -2*n**2 - 5720*n - 96662 = 0.
-2843, -17
Suppose -9*l**5/2 - 5652*l**4 + 11334*l**3 + 45301*l**2/3 + 32711*l/6 + 629 = 0. Calculate l.
-1258, -1/3, 3
Solve -261*w**4 - 53313*w**3 + 39435*w**2 + 15369*w - 1230 = 0 for w.
-205, -1/3, 2/29, 1
Let 3*u**3 + 56439*u**2 - 112899*u - 169335 = 0. What is u?
-18815, -1, 3
Factor w**2/4 - 2391*w + 5716881.
(w - 4782)**2/4
Let 5*g**5 - 11780*g**4 - 165560*g**3 - 805150*g**2 - 1540125*g - 888750 = 0. Calculate g.
-5, -3, -1, 2370
Determine f, given that -2*f**4/21 - 610*f**3/7 - 10918*f**2/21 - 3030*f/7 = 0.
-909, -5, -1, 0
Factor 3*d**2/5 - 770892*d/5 - 154179.
3*(d - 256965)*(d + 1)/5
Factor -400*h**4 + 4560*h**3 + 2844*h**2 + 432*h.
-4*h*(h - 12)*(10*h + 3)**2
Factor -u**2 + 71854*u - 1290749329.
-(u - 35927)**2
Determine j, given that -2*j**3/5 - 690008*j**2/5 - 11903052000*j - 47610000000 = 0.
-172500, -4
Solve p**5/3 - 25*p**4/3 + 48*p**3 - 104*p**2/3 - 592*p/3 + 272 = 0 for p.
-2, 2, 6, 17
Find i, given that 2*i**5/5 + 44*i**4/5 - 146*i**3/5 + 20*i**2 = 0.
-25, 0, 1, 2
Factor 580*n**2 - 849112*n - 11712.
4*(n - 1464)*(145*n + 2)
Factor -3*b**2/10 + 9562*b - 31873/10.
-(b - 31873)*(3*b - 1)/10
Factor -5*f**3 - 50365*f**2 + 20*f + 201460.
-5*(f - 2)*(f + 2)*(f + 10073)
What is l in -l**3/2 - 46*l**2 - 181*l/2 - 45 = 0?
-90, -1
Factor -36*y**2 + 5824*y + 118080.
-4*(y - 180)*(9*y + 164)
Determine k so that -2*k**4/5 - 268*k**3/5 - 8946*k**2/5 - 46656*k/5 - 66528/5 = 0.
-84, -44, -3
Find y, given that -2*y**4/3 - 3682*y**3/9 - 496436*y**2/9 + 2397888*y - 793152 = 0.
-324, 1/3, 34
Factor 3*l**2 + 7938*l + 47520.
3*(l + 6)*(l + 2640)
Solve -m**4/3 - 1472*m**3/3 + 7*m**2 + 30892*m/3 - 29440/3 = 0 for m.
-1472, -5, 1, 4
Solve d**5/2 + 39*d**4 + 183*d**3 + 26*d**2 - 1551*d/2 - 657 = 0 for d.
-73, -3, -1, 2
Determine j so that -8*j**3/11 + 163072*j**2/11 - 163066*j/11 + 3706 = 0.
1/2, 20383
Factor 2*h**3/21 + 36*h**2/7 - 842*h/21 + 244/7.
2*(h - 6)*(h - 1)*(h + 61)/21
Factor -2*v**3/7 - 526*v**2/7 + 528*v/7.
-2*v*(v - 1)*(v + 264)/7
Factor 3*z**3 - 3687*z**2 + 1130985*z + 1134675.
3*(z - 615)**2*(z + 1)
Suppose 4*i**2/3 - 59*i/9 + 47/9 = 0. Calculate i.
1, 47/12
Solve 4*n**2/9 - 41060*n/3 = 0 for n.
0, 30795
Factor q**2/3 + 1592*q + 28548.
(q + 18)*(q + 4758)/3
Determine d, given that -d**5 - 173*d**4 - 1451*d**3 + 4133*d**2 + 5412*d = 0.
-164, -11, -1, 0, 3
Let -j**2/4 - 1283*j/2 - 337353/4 = 0. What is j?
-2427, -139
Factor 5*k**3/6 - 142175*k**2/2 + 284345*k/2 - 426515/6.
5*(k - 85303)*(k - 1)**2/6
Let 195*p**4/4 - 1341*p**3/4 - 3483*p**2/4 - 2163*p/4 - 54 = 0. Calculate p.
-1, -8/65, 9
Let 4*x**5 + 1068*x**4 + 68568*x**3 - 363392*x**2 + 443904*x = 0. What is x?
-136, 0, 2, 3
Suppose n**3 - 197*n**2 - 6584*n + 6780 = 0. Calculate n.
-30, 1, 226
Find l such that -32*l**4 + 8412*l**3 - 556484*l**2 + 479460*l + 68644 = 0.
-1/8, 1, 131
Suppose 2*a**3 + 6252*a**2 + 24984*a + 24976 = 0. What is a?
-3122, -2
Find f such that f**3 + 32*f**2 - 2809*f - 2840 = 0.
-71, -1, 40
Solve 2*f**2 - 354*f + 1720 = 0.
5, 172
Find b such that -3*b**5/4 + 2865*b**4/4 + 31761*b**3/4 + 112887*b**2/4 + 65205*b/2 = 0.
-5, -3, 0, 966
Factor -3*v**3 + 2325*v**2 + 256662*v.
-3*v*(v - 873)*(v + 98)
Solve 5*r**3 + 1250*r**2 + 7345*r + 6100 = 0 for r.
-244, -5, -1
Factor -x**3/11 - 110548*x**2/11 - 221093*x/11 - 110546/11.
-(x + 1)**2*(x + 110546)/11
What is h in 4*h**4/5 + 548*h**3/5 + 4236*h**2 + 209932*h/5 - 1214704/5 = 0?
-79, -31, 4
Find n such that -3*n**4/5 - 228*n**3/5 - 765*n**2 + 4080*n + 4800 = 0.
-40, -1, 5
Let -4*m**3/11 + 98*m**2/11 - 68*m + 1680/11 = 0. Calculate m.
4, 10, 21/2
Factor 2*o**3/7 + 752*o**2/7 + 32600*o/7.
2*o*(o + 50)*(o + 326)/7
Find n such that 2*n**4/5 + 888*n**3/5 - 14638*n**2/5 + 37668*n/5 - 4784 = 0.
-460, 1, 2, 13
Factor -3*y**2/7 - 20532*y/7 - 164064/7.
-3*(y + 8)*(y + 6836)/7
Let 3*l**2 + 10791*l - 21594 = 0. Calculate l.
-3599, 2
Factor o**2/7 + 269*o/7 + 6534/7.
(o + 27)*(o + 242)/7
Solve -28*h**3 - 20626*h**2 + 48774*h = 0 for h.
-739, 0, 33/14
Suppose -64*y**4/11 - 762*y**3/11 - 1272*y**2/11 - 514*y/11 + 60/11 = 0. Calculate y.
-10, -1, 3/32
Factor 3*m**3 + 5793*m**2 - 34842*m + 46488.
3*(m - 4)*(m - 2)*(m + 1937)
Find d such that -3*d**3 + 1797*d**2 + 21888*d + 65988 = 0.
-6, 611
Find v, given that 2*v**2/5 + 1007166*v/5 - 1007168/5 = 0.
-503584, 1
What is f in -26*f**3 + 207*f**2 + 395*f - 246 = 0?
-2, 1/2, 123/13
Factor -2*v**2/3 - 37178*v - 111532/3.
-2*(v + 1)*(v + 55766)/3
Factor 2*x**4/3 - 26*x**3 + 198*x**2 - 558*x + 540.
2*(x - 30)*(x - 3)**3/3
Determine t so that t**5/2 + 733*t**4 + 538753*t**3/2 + 536556*t**2 + 267912*t = 0.
-732, -1, 0
Factor -13*g**2 - 11140*g - 10272.
-(g + 856)*(13*g + 12)
Determine p, given that -2*p**4/13 - 90*p**3/13 + 926*p**2/13 - 2454*p/13 + 1620/13 = 0.
-54, 1, 3, 5
Find s s