r 5*n**5 + 20*n**4 - 20*n**3 - 80*n**2.
5*n**2*(n - 2)*(n + 2)*(n + 4)
Suppose 5*t**4 + 165*t**3 - 35*t**2 - 1125*t + 990 = 0. What is t?
-33, -3, 1, 2
Let 2*b**4/17 + 574*b**3/17 + 2656*b**2 + 32640*b = 0. Calculate b.
-136, -15, 0
Factor -x**3 + 2145*x**2 - 392486*x.
-x*(x - 1943)*(x - 202)
Find f such that -f**2 + 174864*f - 699440 = 0.
4, 174860
Suppose 3*o**5/5 + 27*o**4/5 + 24*o**3/5 = 0. Calculate o.
-8, -1, 0
Let 2*q**2 + 5538*q + 11068 = 0. Calculate q.
-2767, -2
Solve -2*h**3/5 + 946*h**2/5 + 1916*h/5 - 1520 = 0.
-4, 2, 475
Suppose -3*f**3 + 711675*f**2 - 1423341*f + 711669 = 0. Calculate f.
1, 237223
Find t, given that -t**2/5 + 418*t/5 + 12963/5 = 0.
-29, 447
Solve -5*t**3 - 2410*t**2 - 2405*t = 0 for t.
-481, -1, 0
Determine m so that -m**4/2 + 73*m**3/2 + 38*m**2 - 74*m = 0.
-2, 0, 1, 74
Let -w**2/5 + 67138*w/5 - 1126877761/5 = 0. Calculate w.
33569
Factor 5*u**3 - 17605*u**2 - 35245*u + 52845.
5*(u - 3523)*(u - 1)*(u + 3)
Determine i so that 5*i**3 - 4575*i**2 - 13760*i - 9180 = 0.
-2, -1, 918
Find t, given that -2*t**5/11 + 960*t**4/11 - 27546*t**3/11 + 247268*t**2/11 - 705600*t/11 = 0.
0, 7, 16, 450
Determine c, given that -4*c**3 - 10328*c**2 = 0.
-2582, 0
Suppose 7*g**5/4 + 6397*g**4/4 + 730511*g**3/2 - 107623*g**2/2 - 1461029*g/4 + 208849/4 = 0. Calculate g.
-457, -1, 1/7, 1
Find d, given that 6*d**5/7 + 274*d**4 + 1178*d**3/7 - 31110*d**2/7 + 48448*d/7 - 12760/7 = 0.
-319, -5, 1/3, 2
Factor 4*d**3 - 64*d**2 - 15696*d - 31104.
4*(d - 72)*(d + 2)*(d + 54)
Determine n, given that 3*n**2 - 15252*n - 45783 = 0.
-3, 5087
Factor 2*n**2/3 + 664*n/3 + 662/3.
2*(n + 1)*(n + 331)/3
Find k such that 3*k**2/5 + 429*k/5 + 846/5 = 0.
-141, -2
Factor -a**2/3 - 3122*a - 37448/3.
-(a + 4)*(a + 9362)/3
Factor 3*r**2 + 9337362*r + 7265527426587.
3*(r + 1556227)**2
Let 2*r**3 + 3044*r**2 + 1054690*r - 80492672 = 0. What is r?
-793, 64
What is n in 4*n**2/3 + 48100*n/3 - 562800 = 0?
-12060, 35
Determine w so that -2*w**3/3 - 218908*w**2/3 + 2*w/3 + 218908/3 = 0.
-109454, -1, 1
Factor -h**2/6 + 3818*h/3 - 7288562/3.
-(h - 3818)**2/6
Factor -3*z**2 + 222234*z - 4115662563.
-3*(z - 37039)**2
Let -2*o**3/11 + 5536*o**2/11 - 71674*o/11 + 11020 = 0. Calculate o.
2, 11, 2755
Find y such that 21*y**4 + 106347*y**3 + 179523864*y**2 + 101029190208*y + 14429078016 = 0.
-1688, -1/7
Factor -5*d**2 + 73352*d - 29340.
-(d - 14670)*(5*d - 2)
Factor 6*q**2/7 + 591691*q/7 + 98615/7.
(q + 98615)*(6*q + 1)/7
Let 4*v**5 + 329*v**4 + 6454*v**3 - 13527*v**2 - 24948*v - 5292 = 0. What is v?
-42, -1, -1/4, 3
Suppose 33*c**4 + 45*c**3 + 12*c**2 = 0. What is c?
-1, -4/11, 0
Factor -5*v**2 + 579450*v - 16788115125.
-5*(v - 57945)**2
Determine b so that b**3/3 + 28*b**2 + 875*b/3 + 264 = 0.
-72, -11, -1
Find y such that -2*y**4/7 + 368*y**3/7 - 286*y**2/7 - 14864*y/7 + 5856 = 0.
-7, 4, 183
Solve -3*x**2/4 - 25065*x/4 - 25059/2 = 0 for x.
-8353, -2
What is z in -168*z**3 - 500*z**2 - 324*z + 8 = 0?
-2, -1, 1/42
Determine q so that 7*q**5/3 + 16*q**4/3 - 640*q**3/3 - 3670*q**2/3 - 1949*q - 462 = 0.
-7, -3, -2/7, 11
Determine u so that -u**2 + 951*u - 2844 = 0.
3, 948
Solve 2*v**2 - 138680*v - 416058 = 0 for v.
-3, 69343
Factor 2*b**2 - 146056*b + 2666544392.
2*(b - 36514)**2
Factor 2*o**3/9 - 188*o**2 - 11534*o/3 - 32908/9.
2*(o - 866)*(o + 1)*(o + 19)/9
Factor -2*v**2 + 253810*v - 1015208.
-2*(v - 126901)*(v - 4)
Solve -k**3/4 - 131*k**2/4 + 411*k/2 = 0.
-137, 0, 6
Determine j so that -j**4/10 + 1731*j**3/10 - 725201*j**2/10 - 20815599*j/10 - 10044333/5 = 0.
-26, -1, 879
Suppose 45*v**4 + 3475*v**3 + 85190*v**2 + 678100*v + 146520 = 0. What is v?
-37, -22, -18, -2/9
Solve 2*i**2 + 1064350*i/3 - 354784/3 = 0 for i.
-177392, 1/3
Determine f so that -3*f**3 - 12253*f**2 + 81808*f - 49092 = 0.
-4091, 2/3, 6
Factor -5*l**4 + 2580*l**3 - 327600*l**2 - 1352000*l.
-5*l*(l - 260)**2*(l + 4)
Suppose -8*x**3 - 282*x**2 + 3098*x + 792 = 0. Calculate x.
-44, -1/4, 9
Suppose o**3/5 - 7828*o**2/5 - 7831*o/5 + 15658/5 = 0. What is o?
-2, 1, 7829
Suppose -a**3 + 1304*a**2 - 5204*a + 5200 = 0. Calculate a.
2, 1300
Let -q**4/3 - 487*q**3/3 - 25677*q**2 - 1337715*q - 1312200 = 0. What is q?
-216, -135, -1
Factor 2*x**3/13 + 13040*x**2/13 - 117522*x/13.
2*x*(x - 9)*(x + 6529)/13
Determine s so that 3*s**2/7 - 2250*s + 31488/7 = 0.
2, 5248
Factor -2*b**2 + 96760*b + 96762.
-2*(b - 48381)*(b + 1)
Solve -b**2/4 - 3071*b/4 - 3069/2 = 0 for b.
-3069, -2
Factor 3*k**3/7 - 2421*k**2/7 - 1740*k.
3*k*(k - 812)*(k + 5)/7
Determine s so that 874*s**3 - 1658*s**2 + 694*s + 90 = 0.
-45/437, 1
Solve -3*m**3/2 + 465*m**2 + 13569*m/2 + 6318 = 0.
-13, -1, 324
Let 4*p**3/3 - 404*p**2/3 + 2644*p - 13860 = 0. What is p?
9, 15, 77
Find d, given that 4*d**2 + 952*d + 2820 = 0.
-235, -3
Factor -3*p**2 + 534*p + 2745.
-3*(p - 183)*(p + 5)
Determine j, given that j**3/5 - 272*j**2/5 + 319*j + 13780 = 0.
-13, 20, 265
Factor -4*b**2 - 204728*b - 4092960.
-4*(b + 20)*(b + 51162)
Find c, given that c**2/4 + 269007*c/2 + 72364766049/4 = 0.
-269007
Factor 2*b**4/9 - 218834*b**3/9 + 2660486512*b**2/3 - 97038584892800*b/9 + 97030603652096/9.
2*(b - 36472)**3*(b - 1)/9
Suppose 11*g**4 - 2165*g**3 + 113511*g**2 - 674215*g - 126350 = 0. What is g?
-2/11, 7, 95
Suppose 543*d**2 - 1082*d - 8 = 0. What is d?
-4/543, 2
Solve -2*m**4 + 2920*m**3 - 17466*m**2 + 26172*m = 0.
0, 3, 1454
Factor -q**4/6 - 958*q**3/3 - 159214*q**2 - 17972080*q/3 - 175968800/3.
-(q + 20)**2*(q + 938)**2/6
Solve -2*p**5 + 19774*p**4/7 - 47938*p**3/7 - 2854*p**2/7 + 47952*p/7 - 16920/7 = 0 for p.
-1, 3/7, 1, 2, 1410
Factor -3*i**2 + 888*i - 11037.
-3*(i - 283)*(i - 13)
Solve -4*o**5 - 102144*o**4 - 651269712*o**3 + 10437890368*o**2 - 54829277184*o + 94018277376 = 0 for o.
-12776, 4, 6
Solve -3*a**5 + 57*a**4 + 249*a**3 - 3105*a**2 - 13014*a - 9720 = 0 for a.
-6, -3, -1, 9, 20
Factor u**2/4 - 13491*u/4 - 3373.
(u - 13492)*(u + 1)/4
Suppose 2*i**3 - 69706*i**2 - 767008*i = 0. Calculate i.
-11, 0, 34864
Factor 13*w**3/10 - 1513*w**2/5.
w**2*(13*w - 3026)/10
Let 423200*f**5 - 1363440*f**4 + 1556322*f**3 - 720326*f**2 + 109446*f - 5202 = 0. What is f?
51/460, 1
Factor -4*l**2 + 529712*l - 17537175184.
-4*(l - 66214)**2
Suppose -r**5/3 - 7*r**4 + 266*r**3 + 9998*r**2/3 - 67167*r - 70227 = 0. What is r?
-27, -1, 17
Let -5*t**3 + 9870*t**2 + 5*t - 9870 = 0. What is t?
-1, 1, 1974
Factor 4*d**2/3 + 174368*d + 5700787392.
4*(d + 65388)**2/3
Suppose 183250369*u**2/3 + 135370*u/3 + 25/3 = 0. What is u?
-5/13537
Find q, given that q**4/6 + 4459*q**3 + 294205*q**2/6 + 142634*q + 374402/3 = 0.
-26743, -7, -2
Let 2*d**5 + 10500*d**4 - 84106*d**3 + 115692*d**2 + 84104*d - 126192 = 0. What is d?
-5258, -1, 1, 2, 6
Factor 26*b**3/5 + 181*b**2/5 + 149*b/5 - 6/5.
(b + 1)*(b + 6)*(26*b - 1)/5
Factor 3*h**2 + 388002*h + 12545462667.
3*(h + 64667)**2
Factor -169*y**4 + 26*y**3 + 532*y**2 - 392*y.
-y*(y + 2)*(13*y - 14)**2
Factor 2*g**2/11 + 186*g + 40120/11.
2*(g + 20)*(g + 1003)/11
Factor 8481*l**2/8 + 21*l/8.
3*l*(2827*l + 7)/8
Let -2*q**3/9 + 364*q**2 - 432640*q/3 - 35995648/9 = 0. Calculate q.
-26, 832
Solve 2*f**5/7 - 462*f**4 + 1305718*f**3/7 + 1321898*f**2/7 - 5222904*f/7 - 5235848/7 = 0 for f.
-2, -1, 2, 809
Let -4*q**4/7 + 6200*q**3/7 - 6196*q**2/7 = 0. Calculate q.
0, 1, 1549
Factor -3*w**4 + 78*w**3 + 261*w**2.
-3*w**2*(w - 29)*(w + 3)
Factor 5*q**4 + 2880*q**3 + 14275*q**2.
5*q**2*(q + 5)*(q + 571)
Factor -16*q**3 - 508*q**2 + 6848*q - 1680.
-4*(q - 10)*(q + 42)*(4*q - 1)
Suppose -t**2/7 + 10796*t/7 - 3084 = 0. What is t?
2, 10794
Determine j, given that -2*j**2 - 16528*j + 16530 = 0.
-8265, 1
Factor 2*t**2/3 + 23624*t/3 + 69761672/3.
2*(t + 5906)**2/3
Factor 3*u**3 + 112053*u**2 - 448248*u + 448260.
3*(u - 2)**2*(u + 37355)
Let -5*x**5 + 2415*x**4 + 14650*x**3 + 9810*x**2 - 14645*x - 12225 = 0. What is x?
-5, -1, 1, 489
Factor 2*s**4/7 - 64*s**3/7 - 88*s**2/7 + 11616*s/7.
2*s*(s - 22)**2*(s + 12)/7
Factor 15*w**3 - 152*w**2 - 141*w - 22.
(w - 11)*(3*w + 2)*(5*w + 1)
Determine b so that -b**3/2 - 1273*b**2/2 + 3833*b - 5116 = 0.
-1279, 2, 4
What is m in -2*m**4/13 + 116*m**3/13 - 1330*m**2/13 + 4312*m/13 = 0?
0, 7, 44
What is v in -16*v**4 + 16005604*v**3 - 5337071321400*v**2 + 593216366884830000*v - 148303758154500000 = 0?
1/4, 333450
Factor -o**3/5 + 1726*o**2/5 - 