 0.
46437
Find o such that -3*o**4 + 504*o**3 - 8577*o**2 - 153624*o - 144540 = 0.
-10, -1, 33, 146
Determine v so that 2*v**2 - 1190*v - 1192 = 0.
-1, 596
Suppose -2*h**3/9 + 31046*h**2/9 + 62110*h/3 + 31058 = 0. What is h?
-3, 15529
Factor 4*i**2/3 + 9136*i/3 - 98816.
4*(i - 32)*(i + 2316)/3
Factor -n**2/3 - 62*n/3 + 6496.
-(n - 112)*(n + 174)/3
Let 2*x**3/9 + 1126*x**2/3 - 376*x - 6760/9 = 0. What is x?
-1690, -1, 2
Let -5*p**3 - 155*p**2 - 1170*p = 0. What is p?
-18, -13, 0
Suppose -12*t**4 + 560*t**3 - 4084*t**2 + 4960*t + 2128 = 0. Calculate t.
-1/3, 2, 7, 38
Factor u**2/5 + 6188*u/5 + 30815.
(u + 25)*(u + 6163)/5
Let -j**2 - 15834*j = 0. What is j?
-15834, 0
Let -5*h**2 + 160860*h - 160855 = 0. What is h?
1, 32171
Find y such that 2*y**2/11 + 54*y/11 - 3816 = 0.
-159, 132
Determine i, given that -i**2 - 21395*i + 21396 = 0.
-21396, 1
Let -2*s**5/13 + 3192*s**4/13 - 1279958*s**3/13 + 5053008*s**2/13 + 6336160*s/13 = 0. What is s?
-1, 0, 5, 796
Determine n so that 4*n**3 - 78280*n**2 + 78268*n + 156552 = 0.
-1, 2, 19569
Determine t, given that 507*t**4 + 156*t**3 - 1665*t**2 - 1350*t = 0.
-15/13, 0, 2
Suppose 2*r**3/3 + 768*r**2 + 4594*r/3 - 2300 = 0. Calculate r.
-1150, -3, 1
Let -8*o**3 + 8650*o**2 + 85118*o - 21820 = 0. What is o?
-10, 1/4, 1091
Let i**4 - 6771*i**3/2 + 3383*i**2/2 + 6771*i/2 - 3385/2 = 0. Calculate i.
-1, 1/2, 1, 3385
Suppose 4*a**2 - 1744*a + 15372 = 0. Calculate a.
9, 427
Solve 21*g**2 + 16371*g + 9348 = 0 for g.
-779, -4/7
Let 2*u**2/5 - 4624*u/5 + 96222/5 = 0. What is u?
21, 2291
Factor f**2/3 + 116532*f.
f*(f + 349596)/3
Factor -f**3/6 + 223*f**2/6 - 5891*f/3 + 3780.
-(f - 140)*(f - 81)*(f - 2)/6
Find w such that 2*w**5/7 - 2250*w**4/7 + 95242*w**3 - 19040558*w**2/7 + 133485504*w/7 + 153195008/7 = 0.
-1, 16, 547
What is r in -r**3 - 3107*r**2 - 2427283*r - 21594609 = 0?
-1549, -9
Determine p so that 2*p**2/3 - 166*p/3 - 980 = 0.
-15, 98
Find s, given that s**4/2 + 73*s**3/2 + 941*s**2/2 + 1667*s/2 + 399 = 0.
-57, -14, -1
Factor -z**3/3 + 476*z**2/3 - 74285*z/3 + 3780838/3.
-(z - 179)**2*(z - 118)/3
Factor 5*m**4 + 115*m**3 + 160*m**2 - 8260*m - 23520.
5*(m - 8)*(m + 3)*(m + 14)**2
Find k, given that -k**5/4 - 51*k**4 + 6009*k**3/4 + 1654*k**2 - 3105*k = 0.
-230, -2, 0, 1, 27
Let -t**5 - 1113*t**4 - 325395*t**3 - 8730311*t**2 - 57040080*t + 66096900 = 0. What is t?
-542, -15, 1
Solve -f**2 - 903*f - 26190 = 0 for f.
-873, -30
Suppose 27*c**2/5 - 486285*c - 540318/5 = 0. Calculate c.
-2/9, 90053
What is x in 2*x**5/3 + 18852*x**4 - 226244*x**3/3 + 339376*x**2/3 - 75418*x + 56564/3 = 0?
-28282, 1
Factor y**3/3 + 126*y**2 + 15651*y + 636192.
(y + 96)*(y + 141)**2/3
Suppose -4*j**5 + 392*j**3 - 1056*j**2 - 388*j + 1056 = 0. Calculate j.
-11, -1, 1, 3, 8
Factor 3*x**2 + 2192850*x + 400715926875.
3*(x + 365475)**2
Solve 2*x**5/5 - 178*x**4/5 - 2986*x**3/5 + 10514*x**2/5 - 688*x/5 - 14008/5 = 0 for x.
-17, -1, 2, 103
Determine v, given that -4*v**4/7 + 540*v**3/7 - 2660*v**2 + 180420*v/7 + 28512 = 0.
-1, 21, 27, 88
Factor -m**4 + 10*m**3 + 276*m**2 + 518*m + 253.
-(m - 23)*(m + 1)**2*(m + 11)
Factor -3*h**5 + 153*h**4 + 318*h**3 + 6*h**2 - 315*h - 159.
-3*(h - 53)*(h - 1)*(h + 1)**3
Factor 4*a**2/3 + 31136*a/3 - 10380.
4*(a - 1)*(a + 7785)/3
Determine r so that -2*r**4/7 - 1858*r**3/7 - 81012*r**2 - 54227800*r/7 + 804937744/7 = 0.
-314, 13
Suppose -315*q**5 + 9395*q**4 - 89060*q**3 + 266100*q**2 + 52160*q - 8960 = 0. Calculate q.
-2/7, 1/9, 8, 14
Factor c**3 + 614*c**2/3 - 1327*c + 5908/3.
(c - 4)*(c + 211)*(3*c - 7)/3
Suppose -3*s**2 - 119520*s = 0. Calculate s.
-39840, 0
Factor 4*p**3/5 - 216*p**2 + 16028*p/5 + 57912/5.
4*(p - 254)*(p - 19)*(p + 3)/5
Suppose 25*t**4 - 71060*t**3 - 256480*t**2 + 967760*t - 341520 = 0. What is t?
-6, 2/5, 2, 2846
Factor 2*k**3 + 580*k**2 - 11742*k.
2*k*(k - 19)*(k + 309)
Factor 4*q**3 + 22140*q**2 + 30580800*q - 153458000.
4*(q - 5)*(q + 2770)**2
Solve -3*k**3 + 450*k**2 + 8517*k = 0 for k.
-17, 0, 167
Find m, given that -144*m**5/7 + 1118664*m**4/7 - 2897153220*m**3/7 + 7507004614850*m**2/21 - 7498316510750*m/21 = 0.
0, 1, 15535/6
Factor 3*c**2 - 1419411*c - 2838834.
3*(c - 473139)*(c + 2)
Factor -5929*p**3/6 - 148379*p**2/3 - 7702*p/3 - 100/3.
-(p + 50)*(77*p + 2)**2/6
Factor -5*t**3 + 645*t**2 - 15355*t - 16005.
-5*(t - 97)*(t - 33)*(t + 1)
Determine g, given that g**4/4 + 305*g**3/4 - 2811*g**2/4 + 4735*g/4 + 3925/2 = 0.
-314, -1, 5
Solve 3*l**2 - 2790*l - 8397 = 0 for l.
-3, 933
What is j in 4*j**4 - 280*j**3 + 1792*j**2 - 1704*j - 3780 = 0?
-1, 3, 5, 63
Suppose -2*g**3/9 - 164*g**2/9 - 370*g - 952 = 0. Calculate g.
-51, -28, -3
Solve -3*m**3/7 + 147*m**2 - 5952*m/7 - 52992 = 0 for m.
-16, 23, 336
Factor w**3 - 784*w**2 - 3149*w - 2364.
(w - 788)*(w + 1)*(w + 3)
Let 2*s**3/7 - 282588*s**2/7 + 1425959232*s + 19964559616/7 = 0. What is s?
-2, 70648
Suppose q**3/4 - 145*q**2 + 22139*q/4 - 5390 = 0. Calculate q.
1, 40, 539
Suppose 2*s**2 - 1684760*s + 354802032200 = 0. What is s?
421190
Suppose -1833*c**2/7 - 3672*c/7 - 12/7 = 0. Calculate c.
-2, -2/611
Factor 2*m**2/7 + 77692*m/7.
2*m*(m + 38846)/7
Suppose -4*p**5 + 728*p**4 - 41872*p**3 + 994680*p**2 - 8826732*p + 7873200 = 0. Calculate p.
1, 27, 100
Suppose 15*n**4/4 - 3279*n**3 - 47535*n**2/4 + 26976*n + 19755 = 0. Calculate n.
-5, -3/5, 2, 878
Suppose 5*n**5 - 53310*n**4 - 35*n**3 + 373200*n**2 - 319860*n = 0. What is n?
-3, 0, 1, 2, 10662
Factor q**3/4 + 170653*q**2/4 + 1820174232*q + 1820131569.
(q + 1)*(q + 85326)**2/4
Suppose r**5/11 - 2*r**4 + 137*r**3/11 - 152*r**2/11 - 684*r/11 + 720/11 = 0. What is r?
-2, 1, 5, 6, 12
Let -51*q**2 - 3834*q - 4440 = 0. Calculate q.
-74, -20/17
Find h, given that 5*h**5 + 340*h**4 - 14725*h**3 - 64020*h**2 = 0.
-97, -4, 0, 33
Solve -4*m**3 - 5808*m**2 + 5812*m = 0 for m.
-1453, 0, 1
Solve -2*o**2/3 - 296*o/3 - 5120/3 = 0 for o.
-128, -20
Factor 3*n**2 - 408186*n + 13884650883.
3*(n - 68031)**2
Find u such that -25*u**4/4 + 81635*u**3 + 130619*u**2/4 + 6531*u/2 = 0.
-1/5, 0, 13062
Let y**3/5 - 52*y**2 - 799*y/5 + 526 = 0. What is y?
-5, 2, 263
Factor -2*s**2/7 + 82300*s/7 - 846661250/7.
-2*(s - 20575)**2/7
Factor -3*r**4 - 948*r**3 + 5781*r**2 - 4830*r.
-3*r*(r - 5)*(r - 1)*(r + 322)
Suppose -2*d**2/9 - 18328*d - 377905032 = 0. Calculate d.
-41238
Factor -2*b**2/5 + 1262*b/5 + 34164/5.
-2*(b - 657)*(b + 26)/5
Factor -k**3 - 434*k**2 + 183748*k - 14477752.
-(k - 142)**2*(k + 718)
Suppose 2*c**2/9 + 3443852*c/9 + 1482514574738/9 = 0. Calculate c.
-860963
Solve 2*n**4/9 + 988814*n**3/9 = 0.
-494407, 0
What is z in -2*z**3/7 + 9452*z**2/7 - 1596712*z + 22316176/7 = 0?
2, 2362
Factor 5901*b**4/5 - 70803*b**3/5 + 56628*b**2 - 377232*b/5 - 576/5.
3*(b - 4)**3*(1967*b + 3)/5
Factor -2*p**5 - 248*p**4 - 7434*p**3 + 15876*p**2.
-2*p**2*(p - 2)*(p + 63)**2
Solve x**5 + 117*x**4 - 402*x**3 - 4976*x**2 + 8160*x + 57600 = 0.
-120, -4, 5, 6
Factor -w**3 - 1208*w**2/3 - 40669*w - 26934.
-(w + 201)**2*(3*w + 2)/3
Let -5*m**4/3 + 176*m**3 + 4685*m**2/3 + 3892*m + 2508 = 0. Calculate m.
-22/5, -3, -1, 114
Find b such that 4*b**5 + 2615*b**4 - 19102*b**3 + 44236*b**2 - 33702*b + 5949 = 0.
-661, 1/4, 1, 3
Factor -2*b**3 - 958*b**2 + 8*b + 3832.
-2*(b - 2)*(b + 2)*(b + 479)
Factor -171640625*o**4/2 - 35912500*o**3 - 643500*o**2 - 3920*o - 8.
-(5*o + 2)*(325*o + 2)**3/2
Suppose 595*a**3/2 - 2381*a**2/2 + 1789*a/2 - 3/2 = 0. Calculate a.
1/595, 1, 3
Solve -2*u**3 - 1164*u**2 - 179352*u - 2862864 = 0.
-282, -18
Suppose 5*u**5 - 40015*u**4 + 80120015*u**3 - 240120005*u**2 + 240040000*u - 80000000 = 0. What is u?
1, 4000
Factor -6*d**3 + 514*d**2 - 1146*d - 15106.
-2*(d - 83)*(d - 7)*(3*d + 13)
Factor 4*n**3 + 400*n**2 + 316*n - 7920.
4*(n - 4)*(n + 5)*(n + 99)
What is p in 4*p**4 - 6972*p**3 + 2992344*p**2 + 39875248*p + 92506080 = 0?
-10, -3, 878
Solve 2*f**4/9 - 110*f**3/3 + 308*f**2/9 + 1088*f/3 + 2624/9 = 0.
-2, -1, 4, 164
Determine q so that q**4/7 - 34831*q**3/7 + 303212548*q**2/7 + 1516794276*q/7 + 1213546896/7 = 0.
-4, -1, 17418
Determine s so that 8*s**4/5 + 21818*s**3/5 + 14911196*s**2/5 + 48285624*s/5 + 7420176 = 0.
-1362, -2, -5/4
Let -14*p**4/9 + 110*p**3 - 12568*p**2/9 - 408*p = 0. What is p?
-2/7, 0, 17, 54
Suppose 2*u**5/11 - 34*u**4/11 + 142*u**3/11 + 34*u**2/11 - 144*u/11 = 0. What is u?
-1, 0, 1,