-198, 2/7, 38
Factor a**2/5 + 24360*a + 741762000.
(a + 60900)**2/5
Let s**2/2 + 609*s/4 + 76 = 0. What is s?
-304, -1/2
Let -k**5/4 - 3501*k**4/4 - 3065995*k**3/4 - 3045003*k**2/4 + 3825500*k - 2296875 = 0. Calculate k.
-1750, -3, 1
Factor 2*p**2/21 + 848*p/7 - 12870/7.
2*(p - 15)*(p + 1287)/21
Suppose 5*g**4 + 4025*g**3 + 787440*g**2 - 9155520*g = 0. What is g?
-408, 0, 11
Factor -3*c**2 + 56448*c - 265531392.
-3*(c - 9408)**2
Solve 4*f**2 + 17692*f + 492240 = 0.
-4395, -28
Let -2*z**3/15 + 17674*z**2 - 706928*z/5 + 4241504/15 = 0. Calculate z.
4, 132547
Factor 68*x**2 + 16176*x + 61776.
4*(x + 234)*(17*x + 66)
Factor 529230578*t**2/11 + 1041088*t/11 + 512/11.
2*(16267*t + 16)**2/11
Suppose w**2/2 - 1087*w - 168675/2 = 0. What is w?
-75, 2249
Factor 1286298225*m**2/4 + 71730*m + 4.
(35865*m + 4)**2/4
Determine d so that d**2/7 - 129*d + 6776 = 0.
56, 847
Suppose -2*c**4/11 - 210*c**3/11 - 3208*c**2/11 + 16320*c/11 = 0. What is c?
-85, -24, 0, 4
Factor -2*x**2 + 59124*x - 118240.
-2*(x - 29560)*(x - 2)
Let p**3/3 + 2212*p**2/3 + 1205348*p/3 - 19855936/3 = 0. What is p?
-1114, 16
Let q**2 + 136913*q - 136914 = 0. What is q?
-136914, 1
Factor x**4 + 374*x**3 + 38109*x**2 + 576364*x + 538628.
(x + 1)*(x + 17)*(x + 178)**2
Factor -f**2/4 - 318*f - 21335/4.
-(f + 17)*(f + 1255)/4
Factor 85*b**3 + 21931*b**2 + 1414743*b + 16641.
(b + 129)**2*(85*b + 1)
What is t in -5*t**2 - 433080*t - 9377914320 = 0?
-43308
Determine t so that 14*t**3 - 1326*t**2 - 23480*t - 6600 = 0.
-15, -2/7, 110
Factor -4*l**2 - 7604*l - 7600.
-4*(l + 1)*(l + 1900)
Find r, given that 3*r**2 - 6837*r + 47712 = 0.
7, 2272
Find t such that 3*t**2 - 195*t - 3600 = 0.
-15, 80
Find f, given that -2*f**4/9 - 496*f**3/9 - 11362*f**2/9 - 47516*f/9 - 17840/3 = 0.
-223, -20, -3, -2
Suppose -5*r**5 - 675*r**4 - 34335*r**3 - 785405*r**2 - 7046160*r - 6294420 = 0. What is r?
-34, -33, -1
Let -2*j**5/11 - 26*j**4 - 10242*j**3/11 - 19634*j**2/11 - 9676*j/11 = 0. Calculate j.
-82, -59, -1, 0
Let 3*y**4/2 + 519*y**3/2 + 6345*y**2/2 - 1575159*y/2 + 784146 = 0. What is y?
-109, 1, 44
Suppose 4*b**3/9 + 2944*b**2/9 + 980*b/3 = 0. What is b?
-735, -1, 0
Let 98*r**2 - 400*r + 32 = 0. Calculate r.
4/49, 4
Factor m**3/7 - 13*m**2/7 - 29*m/7 - 15/7.
(m - 15)*(m + 1)**2/7
Factor 5*o**3 + 130005*o**2 - 260025*o + 130015.
5*(o - 1)**2*(o + 26003)
Factor -o**2 + 10280*o + 51425.
-(o - 10285)*(o + 5)
Factor 196*j**3/3 - 27328*j**2/3 + 952576*j/3.
4*j*(7*j - 488)**2/3
Solve 692*o**3 + 166076*o**2 + 9963840*o - 57600 = 0 for o.
-120, 1/173
Find w such that -2*w**3/3 + 10378*w**2 - 40548960*w + 3741193088/3 = 0.
31, 7768
Suppose 9*f**3 + 141834*f**2 + 189099*f + 47274 = 0. What is f?
-15758, -1, -1/3
Determine p so that -p**5/5 - 288*p**4/5 - 20709*p**3/5 + 7722*p**2/5 + 108864*p - 1119744/5 = 0.
-144, -6, 3
Suppose k**3/3 + 1793*k**2 - 50400*k + 1059772/3 = 0. Calculate k.
-5407, 14
Factor 4*s**2 + 667760*s + 27868963600.
4*(s + 83470)**2
Let -a**2/5 + 24809*a/5 = 0. What is a?
0, 24809
Solve -2*p**3/17 + 916*p**2/17 - 3622*p/17 - 4540/17 = 0 for p.
-1, 5, 454
Let -2*y**4 + 332*y**3/21 + 53918*y**2/21 + 260912*y/21 + 1160 = 0. Calculate y.
-29, -5, -2/21, 42
What is x in 2*x**2/11 - 50068*x/11 + 313350578/11 = 0?
12517
Determine q, given that -16*q**5/5 + 2348*q**4/5 + 7804*q**3/5 - 548*q**2/5 - 7788*q/5 - 360 = 0.
-3, -1, -1/4, 1, 150
Factor 2*y**2 - 10176*y - 10178.
2*(y - 5089)*(y + 1)
Let -y**5 - 49*y**4 - 33*y**3 + 729*y**2 + 378*y - 2592 = 0. Calculate y.
-48, -3, 2, 3
Find w such that 5*w**2 + 5715*w - 57650 = 0.
-1153, 10
Find u such that -4*u**3 + 3112*u**2 - 576304*u - 11405088 = 0.
-18, 398
Suppose 5*p**2 - 976*p + 2123 = 0. What is p?
11/5, 193
Determine i, given that -2*i**2/7 - 220092*i/7 - 6055061058/7 = 0.
-55023
Factor 2*p**2 - 308*p + 306.
2*(p - 153)*(p - 1)
Let 26*g**2/5 + 54206*g/5 - 1668 = 0. Calculate g.
-2085, 2/13
Factor 34*v**3 - 25086*v**2 + 45620*v + 8832.
2*(v - 736)*(v - 2)*(17*v + 3)
Factor -5*n**3 - 7915*n**2 - 3152055*n - 15563025.
-5*(n + 5)*(n + 789)**2
Suppose 2*g**2/9 - 178*g/3 + 516 = 0. What is g?
9, 258
Suppose 15*g**3/7 + 6051*g**2/7 - 9732*g/7 - 4860/7 = 0. Calculate g.
-405, -2/5, 2
Find w, given that 2*w**3 + 7650*w**2 + 7357206*w + 80006278 = 0.
-1907, -11
Suppose 2*g**2 - 4994*g - 301608 = 0. Calculate g.
-59, 2556
Suppose -u**4/4 + 293*u**3/4 + 46285*u**2/4 + 45991*u/4 = 0. What is u?
-113, -1, 0, 407
Let -6*i**2/7 - 1052496*i/7 - 46156159584/7 = 0. What is i?
-87708
Determine j, given that -6*j**2/11 - 66642*j/11 - 66636/11 = 0.
-11106, -1
Factor -2*s**3/15 + 1724*s**2/5 - 1116288*s/5 + 6677056/15.
-2*(s - 1292)**2*(s - 2)/15
Determine i, given that -i**2 - 2248*i + 157488 = 0.
-2316, 68
Determine u so that -8*u**5 + 154*u**4 - 350*u**3 - 2442*u**2 + 630*u = 0.
-3, 0, 1/4, 7, 15
Suppose -k**4/2 + 1229*k**3/2 + 3081*k**2 + 4934*k + 2468 = 0. What is k?
-2, -1, 1234
What is g in -2*g**5/7 - 164*g**4/7 - 4010*g**3/7 - 24336*g**2/7 + 28512*g/7 = 0?
-36, -11, 0, 1
Factor i**3/2 + 41*i**2/2 - 780*i.
i*(i - 24)*(i + 65)/2
Factor 3*b**3 - 357*b**2 + 2370*b - 2016.
3*(b - 112)*(b - 6)*(b - 1)
Solve 31628*q**2 - 31608*q - 20 = 0 for q.
-5/7907, 1
Factor 4*p**3 + 600*p**2 + 19568*p - 139872.
4*(p - 6)*(p + 62)*(p + 94)
Suppose o**5/3 - 14*o**4/3 - 185*o**3 - 4000*o**2/3 - 8500*o/3 = 0. Calculate o.
-10, -5, 0, 34
Suppose 2*c**5/7 + 44*c**4/7 + 176*c**3/7 - 268*c**2/7 - 178*c/7 + 32 = 0. What is c?
-16, -7, -1, 1
Let h**4/3 - 503*h**3/3 + 2498*h**2/3 - 3988*h/3 + 664 = 0. What is h?
1, 2, 498
Solve 3*g**3 - 262137*g**2 = 0 for g.
0, 87379
Factor -2*c**2 + 5620684*c - 3949011078482.
-2*(c - 1405171)**2
Factor 5*m**2 - 102490*m + 409880.
5*(m - 20494)*(m - 4)
Find q such that -10*q**2/13 + 60846*q/13 + 24340/13 = 0.
-2/5, 6085
Let -325*k**3/2 + 434*k**2/3 - 181*k/6 = 0. Calculate k.
0, 1/3, 181/325
Solve -10*b**2 - 5*b + 140 = 0.
-4, 7/2
Factor -4*z**3 - 260*z**2 - 1552*z + 4176.
-4*(z - 2)*(z + 9)*(z + 58)
Determine a, given that 2*a**2/3 + 435960*a - 1307882/3 = 0.
-653941, 1
Find p such that 5*p**2 + 193600*p - 1936500 = 0.
-38730, 10
Factor -5*s**2/6 + 29863*s/6 + 20909/3.
-(s - 5974)*(5*s + 7)/6
Let -2*n**2/13 - 8062*n/13 + 227304/13 = 0. Calculate n.
-4059, 28
Find v, given that -2*v**2/9 - 188*v/9 - 1472/3 = 0.
-48, -46
Factor z**3/3 - 2255*z**2 + 53976*z - 323568.
(z - 6741)*(z - 12)**2/3
Determine d so that 6*d**4/11 + 10498*d**3/11 + 27958*d**2/11 + 10478*d/11 - 6988/11 = 0.
-1747, -2, -1, 1/3
Factor k**5/3 + 686*k**4/3 + 51504*k**3 + 10872448*k**2/3 - 124871680*k/3.
k*(k - 10)*(k + 232)**3/3
Factor h**3/5 - 404*h**2/5 + 4333*h/5 - 786.
(h - 393)*(h - 10)*(h - 1)/5
Solve 5*i**4/3 - 20*i**3 - 175*i**2 + 3460*i/3 - 960 = 0 for i.
-9, 1, 4, 16
Let 2*s**2/7 - 60*s/7 - 1598/7 = 0. Calculate s.
-17, 47
Solve -58*h**3 - 866*h**2/5 + 114*h/5 + 306/5 = 0 for h.
-3, -17/29, 3/5
Factor -z**2/2 - 126*z - 2938.
-(z + 26)*(z + 226)/2
Factor -4*x**2 - 7560*x.
-4*x*(x + 1890)
Determine p, given that -14*p**5 + 1464*p**4 - 49524*p**3 + 591296*p**2 - 2418750*p + 1198152 = 0.
4/7, 9, 43
Determine f, given that -f**4/7 - 38*f**3 - 20640*f**2/7 - 374400*f/7 = 0.
-120, -26, 0
Factor -3*x**3 + 126*x**2 + 2397*x - 2520.
-3*(x - 56)*(x - 1)*(x + 15)
Solve 3*q**4 + 1289*q**3 - 432*q**2 - 860*q = 0 for q.
-430, -2/3, 0, 1
Determine a so that 2*a**3 - 60136*a**2 - 120280*a = 0.
-2, 0, 30070
Find t, given that 2*t**3 - 354*t**2 - 4136*t = 0.
-11, 0, 188
Suppose -5*p**4 - 1995*p**3 + 16200*p**2 - 32560*p = 0. Calculate p.
-407, 0, 4
Determine u so that -2*u**3 + 2222*u**2 + 4452*u = 0.
-2, 0, 1113
Let 3*x**2 - 3075*x - 46800 = 0. What is x?
-15, 1040
Let 16*z**2/3 + 72044*z/3 - 90080/3 = 0. Calculate z.
-4504, 5/4
Solve -4*m**4/7 + 36*m**3/7 - 104*m**2/7 + 96*m/7 = 0 for m.
0, 2, 3, 4
Factor j**3/6 + 569*j**2/3 + 6797*j/6 + 2830/3.
(j + 1)*(j + 5)*(j + 1132)/6
Factor f**3/6 - 2365*f**2/6 + 557629*f/2 - 102227241/2.
(f - 1041)**2*(f - 283)/6
Factor 5*y**3 + 9404495*y**2 + 4422231012495*y + 4422221608005.
5*(y + 1)*(y + 940449)**2
What is g in -2*g**4 + 504*g**3 - 33930*g**2 + 246356*g + 2811072 = 0?
-6, 16, 121
Factor 3*h**4 - 999*h**3 - 4029*h**2 - 5049*h - 2022.
3*(h - 337)*(h + 1)**2*(h + 2)
Factor -29*s**2 - 10931*s + 754.
-(s + 377)*(29*s - 2)
Suppose -5*b**4 + 10270*b**3 + 483480*b**2 