 -1
Determine b so that 2*b**3/3 - 32*b**2/3 - 1850*b/3 - 8200/3 = 0.
-20, -5, 41
Factor -2*t**2 + 956*t - 114242.
-2*(t - 239)**2
Factor -p**3/3 + 3640*p**2/3 - 43556*p/3 + 72560/3.
-(p - 3628)*(p - 10)*(p - 2)/3
Factor r**3/6 - 527*r**2/6 + 1816*r/3 + 2080/3.
(r - 520)*(r - 8)*(r + 1)/6
Let 4*v**3 + 1206464*v**2 + 90972211456*v = 0. Calculate v.
-150808, 0
Determine g, given that -264*g**3 - 196*g**2 + 308*g + 240 = 0.
-1, -5/6, 12/11
Factor p**2/5 - 214426*p/5 + 11494627369/5.
(p - 107213)**2/5
Suppose -20*j**4 + 304*j**3 - 468*j**2 - 1480*j + 1664 = 0. What is j?
-2, 1, 16/5, 13
Determine n, given that 2*n**4 + 162*n**3 + 2778*n**2 + 2302*n - 5244 = 0.
-57, -23, -2, 1
What is n in 5*n**2 + 4900*n - 49500 = 0?
-990, 10
Determine c so that 3*c**3/2 - 10707*c**2/2 + 37419*c - 64116 = 0.
3, 4, 3562
Solve 8561522*q**2 - 33104*q + 32 = 0 for q.
4/2069
Let 3*t**2 - 15840*t + 20908800 = 0. Calculate t.
2640
Let h**5/5 + 354*h**4/5 + 1404*h**3/5 + 280*h**2 = 0. Calculate h.
-350, -2, 0
Determine a so that -3*a**3/4 + 185907*a**2/4 - 720052668*a + 720006192 = 0.
1, 30984
Factor -q**2/2 + 1626*q + 3253/2.
-(q - 3253)*(q + 1)/2
Determine z so that 2*z**2/3 - 568*z/3 + 8576/3 = 0.
16, 268
Suppose 4*p**2 - 1224*p - 96460 = 0. Calculate p.
-65, 371
What is y in -y**2/3 + 3421*y/3 - 10236 = 0?
9, 3412
What is a in 5*a**2 + 103980*a - 103985 = 0?
-20797, 1
Solve 2*z**3 + 6526*z**2 + 26080*z + 26072 = 0 for z.
-3259, -2
Suppose 37300*d**5 + 1185840*d**4 + 2040468*d**3 + 1063720*d**2 + 170352*d - 1440 = 0. What is d?
-30, -1, -2/5, 3/373
Factor y**2/4 + 356611*y/2 + 127171405321/4.
(y + 356611)**2/4
Let 13*m**3/2 + 163*m**2 + 95*m/2 - 10549 = 0. Calculate m.
-274/13, -11, 7
Suppose 2*g**2 + 53990*g = 0. What is g?
-26995, 0
Factor -m**4/9 + 2113*m**3/3 - 7035*m**2 + 158225*m/9.
-m*(m - 6329)*(m - 5)**2/9
Suppose -3*a**5 - 15*a**4 + 201*a**3 - 561*a**2 + 594*a - 216 = 0. Calculate a.
-12, 1, 2, 3
Let 15*v**3/4 - 2031*v**2/4 + 12699*v + 7803 = 0. Calculate v.
-3/5, 34, 102
Factor 4*y**2/5 + 105208*y/5 + 691795204/5.
4*(y + 13151)**2/5
What is c in c**5/4 - 21*c**4 + 293*c**3 + 4611*c**2/2 + 18171*c/4 + 5103/2 = 0?
-3, -2, -1, 27, 63
Solve o**3/2 - 1975*o**2/2 + 7876*o - 15736 = 0 for o.
4, 1967
Determine v, given that -4*v**3 - 888*v**2 + 20596*v + 44712 = 0.
-243, -2, 23
Solve -v**2/2 + 2499*v/4 - 1249/4 = 0 for v.
1/2, 1249
What is v in 5*v**5 + 220*v**4 - 1275*v**3 - 47250*v**2 = 0?
-45, -14, 0, 15
Find q such that -5*q**3 - 26825*q**2 + 134220*q - 161100 = 0.
-5370, 2, 3
Determine q, given that 2*q**5 - 328*q**4 - 3422*q**3 - 10028*q**2 - 11112*q - 4176 = 0.
-6, -2, -1, 174
Suppose 3*z**5 + 693*z**4 + 35601*z**3 - 358641*z**2 + 1114560*z - 1134000 = 0. Calculate z.
-140, -100, 3
Factor -2*i**2 + 68352*i - 68350.
-2*(i - 34175)*(i - 1)
Factor 4*i**3 - 766740*i**2 + 1533464*i.
4*i*(i - 191683)*(i - 2)
Determine p so that 3*p**2 + 868041*p - 868044 = 0.
-289348, 1
Factor -s**3 - 2778*s**2 + 2785*s + 16674.
-(s - 3)*(s + 2)*(s + 2779)
Solve -2*i**4 + 9017*i**3 + 13530*i**2 + i - 4510 = 0.
-1, 1/2, 4510
Factor 2*b**2/5 - 2414*b/5 - 21888/5.
2*(b - 1216)*(b + 9)/5
Find q such that 3*q**5 + 39*q**4 + 126*q**3 + 24*q**2 - 192*q = 0.
-8, -4, -2, 0, 1
Determine r, given that -3*r**5/5 + 1914*r**4 - 38229*r**3/5 - 1914*r**2 + 38232*r/5 = 0.
-1, 0, 1, 4, 3186
Factor -2*s**3 - 62*s**2 + 408*s + 1728.
-2*(s - 8)*(s + 3)*(s + 36)
Find i such that 1352*i**5/9 - 26936*i**4/9 + 89858*i**3/9 - 79496*i**2/9 - 6520*i/9 - 128/9 = 0.
-1/26, 2, 16
Find o such that 12*o**3/5 - 124*o**2 + 6584*o/5 + 37024/5 = 0.
-4, 26, 89/3
Factor -3*l**2 - 21888*l + 219180.
-3*(l - 10)*(l + 7306)
Find n, given that 1460*n**2 - 8*n = 0.
0, 2/365
Factor 2*v**2/11 + 1266*v/11 - 580.
2*(v - 5)*(v + 638)/11
Factor -3*y**3 + 96*y**2 - 36*y - 4320.
-3*(y - 30)*(y - 8)*(y + 6)
Factor -316*j**2 - 11272*j + 11588.
-4*(j - 1)*(79*j + 2897)
What is a in 2*a**2/11 + 3644*a/11 + 197792/11 = 0?
-1766, -56
Let -3*y**2/4 + 201*y/2 - 5355/4 = 0. Calculate y.
15, 119
Suppose 5*m**4 - 680*m**3 - 35190*m**2 + 5594400*m - 16448535 = 0. Calculate m.
-89, 3, 111
Determine b so that -2*b**4/3 - 142*b**3/5 - 1344*b**2/5 - 11336*b/15 - 3264/5 = 0.
-153/5, -8, -2
Let 3*g**3 + 768*g**2 - 2325*g + 1554 = 0. What is g?
-259, 1, 2
Find i such that 4*i**4/3 - 1204*i**3/3 + 18496*i**2 + 1919568*i - 1937664 = 0.
-48, 1, 174
Factor -513*m**2/4 + 36933*m/4 + 54.
-3*(m - 72)*(171*m + 1)/4
Let m**3/3 - 43*m**2 + 1768*m - 70516/3 = 0. What is m?
34, 61
Factor -2*z**2 - 54*z + 1040.
-2*(z - 13)*(z + 40)
Factor -4*v**3/9 + 11200*v**2/9 - 7873492*v/9 + 15612872/3.
-4*(v - 1397)**2*(v - 6)/9
Let -u**2/2 + 37*u/2 - 168 = 0. Calculate u.
16, 21
Factor 2*p**2 - 698*p + 50388.
2*(p - 247)*(p - 102)
Factor j**3 - 734*j**2 - 4431*j - 6660.
(j - 740)*(j + 3)**2
What is d in 1210*d**5 - 123035*d**4/2 + 291090*d**3 - 859005*d**2/2 + 248130*d - 49410 = 0?
6/11, 1, 3, 183/4
Suppose -2*p**4/7 + 510*p**3/7 - 508*p**2/7 = 0. What is p?
0, 1, 254
Factor -1089*d**2 - 7613760*d - 13307929600.
-(33*d + 115360)**2
Solve -4*p**3 - 1320*p**2 + 24732*p - 112752 = 0 for p.
-348, 9
Find r, given that -r**4/3 - 64*r**3/3 - 119*r**2 - 526*r/3 - 232/3 = 0.
-58, -4, -1
Factor 3*r**2/2 - 5853*r/2 - 38298.
3*(r - 1964)*(r + 13)/2
Solve -3*o**5 + 87*o**4 + 1710*o**3 + 4512*o**2 - 16512*o = 0 for o.
-8, 0, 2, 43
Let -2*f**4/17 + 4014*f**3/17 - 2027984*f**2/17 + 13968000*f/17 + 16000000/17 = 0. Calculate f.
-1, 8, 1000
Determine x, given that 125*x**4 - 14580*x**3 + 399600*x**2 + 1512000*x = 0.
-84/25, 0, 60
Let -5*m**3/2 + 26975*m**2/2 + 13490*m = 0. Calculate m.
-1, 0, 5396
Factor 53*l**2/10 + 6*l/5 - 118/5.
(l - 2)*(53*l + 118)/10
Factor -2*g**2/23 - 1536*g/23 - 163840/23.
-2*(g + 128)*(g + 640)/23
Determine d, given that 5*d**3 + 19155*d**2 + 19150*d = 0.
-3830, -1, 0
Let -3*d**2 + 5781*d - 400680 = 0. What is d?
72, 1855
Factor -3*o**2 + 6678798*o - 3717195227067.
-3*(o - 1113133)**2
Determine n, given that -n**5/4 - 2709*n**4/2 + 12209*n**3 - 18999*n**2/2 - 48835*n/4 + 10854 = 0.
-5427, -1, 1, 8
Suppose y**5/5 + 89*y**4/5 + 819*y**3/5 + 2299*y**2/5 + 584*y/5 - 3792/5 = 0. What is y?
-79, -4, -3, 1
What is c in -c**4/10 - 163*c**3/5 + 1339*c**2/10 + 3142*c/5 + 462 = 0?
-330, -2, -1, 7
Solve 4*t**3 - 1820*t**2 + 14332*t - 12516 = 0.
1, 7, 447
Let i**3 - 1355*i**2 + 6750*i = 0. Calculate i.
0, 5, 1350
Solve -25*d**5 + 16830*d**4 - 118899*d**3 - 652654*d**2 - 460740*d - 87912 = 0 for d.
-3, -2/5, 11, 666
Suppose 261*u**4 + 452058*u**3 + 196200177*u**2 + 395083560*u + 8978700 = 0. What is u?
-865, -2, -2/87
Suppose -2*i**3/3 - 164*i**2/3 - 1110*i - 1056 = 0. Calculate i.
-48, -33, -1
Factor 5*k**2 + 13900*k + 41655.
5*(k + 3)*(k + 2777)
Let -4*r**4 - 44*r**3 + 808*r**2 + 1760*r = 0. Calculate r.
-20, -2, 0, 11
Factor -8*s**2/5 + 28142*s + 35178/5.
-2*(s - 17589)*(4*s + 1)/5
Suppose -2*k**2/3 + 51970*k/3 - 34644 = 0. What is k?
2, 25983
Factor z**4/5 + 1227*z**3/5 + 979*z**2 + 3669*z/5.
z*(z + 1)*(z + 3)*(z + 1223)/5
Suppose 3*s**4/4 + 1299*s**3/4 + 1602*s**2 - 1299*s - 6420 = 0. Calculate s.
-428, -5, -2, 2
Find i, given that -13718000*i**4/7 - 699401400*i**3/7 + 11045460*i**2/7 - 58138*i/7 + 102/7 = 0.
-51, 1/190
Factor -2*d**2/11 + 22*d - 2016/11.
-2*(d - 112)*(d - 9)/11
Factor -y**2 - 48*y + 5049.
-(y - 51)*(y + 99)
Factor 4*z**2 + 827064*z + 42752178756.
4*(z + 103383)**2
Suppose -82*r**2 - 582*r - 56 = 0. What is r?
-7, -4/41
Solve -3*h**5/4 - 99*h**4/4 + 153*h**3 + 4461*h**2 + 4284*h = 0 for h.
-34, -12, -1, 0, 14
What is f in f**5/3 + 281*f**4/3 + 806*f**3/3 - 7784*f**2/3 = 0?
-278, -7, 0, 4
Factor b**2/10 - 2519*b/10 - 5046/5.
(b - 2523)*(b + 4)/10
Find v such that v**2/3 + 604*v/3 + 1204/3 = 0.
-602, -2
Find f, given that -72*f**5 + 6924*f**4 + 341008*f**3 - 58564*f**2 - 75648*f + 19008 = 0.
-36, -1/2, 1/3, 132
Suppose -3*g**2/5 - 667*g/5 - 7572/5 = 0. What is g?
-631/3, -12
Find y such that y**5/4 + 33*y**4/2 - 303*y**3/4 - 14375*y**2 - 14283*y = 0.
-46, -1, 0, 27
Factor -6*z**2/11 + 14844*z/11 - 381888/11.
-6*(z - 2448)*(z - 26)/11
Factor -3*c**4/2 + 3561*c**3/2 + 7146*c**2.
-3*c**2*(c - 1191)*(c + 4)/2
Suppose 18*i**4 + 912*i**3 + 12704*i**2 + 29184*i + 18432 = 0. Calculate i.
-24, -4/3
Solve -2*d**4/3 - 5504*d**3/3 - 3271424*d**2/3 + 236363776*d - 11065