g**5/5 - 72*g**4 + 2833*g**3/5 + 6669*g**2/5 + 4363*g/5 + 891/5 = 0.
-1, -1/2, 11, 81
Find t, given that 4*t**4/7 - 9636*t**3/7 - 28944*t**2/7 - 16*t/7 + 38592/7 = 0.
-2, 1, 2412
What is a in 2*a**5/3 + 10*a**4/21 - 328*a**3/7 + 440*a**2/3 - 800*a/21 = 0?
-10, 0, 2/7, 4, 5
Factor -4*r**3/5 + 1012*r**2/5 - 7804*r/5 - 1764.
-4*(r - 245)*(r - 9)*(r + 1)/5
Let -14*y**3/3 + 2524*y**2 - 19538*y - 8528/3 = 0. What is y?
-1/7, 8, 533
What is j in -j**2 + 3072*j = 0?
0, 3072
What is v in -3*v**2/2 + 29667*v - 293376963/2 = 0?
9889
Factor -14*g**2/11 - 34758*g/11 + 9932/11.
-2*(g + 2483)*(7*g - 2)/11
Find q, given that 3*q**5 + 477*q**4 - 16251*q**3 + 142191*q**2 - 237552*q + 111132 = 0.
-189, 1, 14
Factor w**5 + 5*w**4 - 414*w**3 - 2524*w**2 - 5048*w - 3360.
(w - 21)*(w + 2)**3*(w + 20)
What is h in h**4 + 2853*h**3 - 14296*h**2 - 17148*h = 0?
-2858, -1, 0, 6
Factor p**3 - 883*p**2 - p + 883.
(p - 883)*(p - 1)*(p + 1)
Suppose y**5/3 + 4346*y**4/9 + 7234*y**3/9 - 484*y**2/3 - 7237*y/9 - 2894/9 = 0. Calculate y.
-1447, -1, -2/3, 1
Factor r**3/4 - 605*r**2 + 1030277*r/4 + 279700471/2.
(r - 1361)**2*(r + 302)/4
Let -5*g**4 - 4195*g**3 - 1219800*g**2 - 150291520*g - 6725112320 = 0. Calculate g.
-383, -152
Let 2*r**2 + 17108*r - 17110 = 0. What is r?
-8555, 1
Factor 2*o**3/3 + 1528*o**2/3 - 10810*o/3 - 4112.
2*(o - 8)*(o + 1)*(o + 771)/3
Suppose -3*m**2/7 + 20064*m/7 = 0. What is m?
0, 6688
Factor -2*n**2 - 1744*n + 7008.
-2*(n - 4)*(n + 876)
Let -4*q**3 - 1288*q**2 - 92612*q + 1827904 = 0. Calculate q.
-169, 16
Factor 2*x**4 - 1456*x**3 - 16210*x**2 - 35544*x + 53208.
2*(x - 739)*(x - 1)*(x + 6)**2
Solve 7*t**4 + 25*t**3 - 117*t**2 - 81*t + 54 = 0.
-6, -1, 3/7, 3
Suppose -r**3/3 - 2665*r**2/6 - 3325*r/3 = 0. Calculate r.
-1330, -5/2, 0
Factor j**5/5 - 2507*j**4/5 + 1575016*j**3/5 - 4702512*j**2/5.
j**2*(j - 1252)**2*(j - 3)/5
Find f, given that -5*f**3 + 18560*f**2 + 92955*f - 111510 = 0.
-6, 1, 3717
Factor -4*w**2 - 3596*w - 3592.
-4*(w + 1)*(w + 898)
Suppose -3*v**3/4 + 1077579*v**2/2 - 387058833747*v/4 = 0. Calculate v.
0, 359193
Let 5*a**4/2 - 165*a**3 + 6865*a**2/2 - 23430*a + 20160 = 0. What is a?
1, 12, 21, 32
Solve -2*w**3/3 - 596*w**2/3 - 27586*w/3 - 26992/3 = 0 for w.
-241, -56, -1
Find d, given that -52*d**4 + 2846*d**3 - 7466*d**2 + 4276*d - 624 = 0.
3/13, 1/2, 2, 52
Let 2500*z**3 + 837500*z**2 - 16*z - 5360 = 0. What is z?
-335, -2/25, 2/25
Solve g**3/4 - 119*g**2/4 - 1481*g/2 + 770 = 0 for g.
-22, 1, 140
Determine x, given that -x**4 - 532*x**3 + 286364*x**2 + 94993920*x - 31883673600 = 0.
-576, 310
Factor -b**2/3 - 8663*b - 51974/3.
-(b + 2)*(b + 25987)/3
Solve l**5 - 69*l**4 + 716*l**3 + 15856*l**2 + 73536*l + 104960 = 0.
-4, 40, 41
Factor 2*x**3 - 1770*x**2 + 3534*x - 1766.
2*(x - 883)*(x - 1)**2
Suppose -o**4/4 - 135*o**3/4 - 261*o**2/4 + 671*o/4 + 399/2 = 0. Calculate o.
-133, -3, -1, 2
Let r**3/7 - 69*r**2/7 + 579*r/7 + 649/7 = 0. What is r?
-1, 11, 59
Factor -10*y**3 - 45*y**2 + 1605*y - 1550.
-5*(y - 10)*(y - 1)*(2*y + 31)
Find f, given that -2*f**2 + 5364*f + 10736 = 0.
-2, 2684
Solve -3*j**2 - 2622*j - 2619 = 0 for j.
-873, -1
Determine z, given that 4*z**5/7 + 568*z**4/7 + 27956*z**3/7 + 524912*z**2/7 + 2432880*z/7 + 2980800/7 = 0.
-46, -45, -4, -2
Suppose -2*a**5 - 450*a**4 + 2*a**3 + 450*a**2 = 0. What is a?
-225, -1, 0, 1
Solve 4*f**4 - 13836*f**3 - 110892*f**2 - 180260*f - 83208 = 0.
-6, -1, 3467
Find p such that -2*p**5/11 - 136*p**4/11 - 1884*p**3/11 - 7856*p**2/11 - 10594*p/11 - 408 = 0.
-51, -11, -4, -1
Solve -2*r**5/5 + 256*r**4/5 - 3918*r**3/5 - 4696*r**2/5 + 1672*r = 0.
-2, 0, 1, 19, 110
Find k, given that k**3 + 7234*k**2 + 14465*k + 7232 = 0.
-7232, -1
Let -4*j**4 - 740*j**3 - 16428*j**2 - 67948*j + 85120 = 0. Calculate j.
-160, -19, -7, 1
Factor 2*v**2/19 - 79270*v/19.
2*v*(v - 39635)/19
Find p such that 3*p**2/2 + 486*p + 39342 = 0.
-166, -158
Determine l so that l**4/6 + 4745*l**3/6 + 2371*l**2/3 - 4744*l/3 = 0.
-4744, -2, 0, 1
Determine a, given that -2*a**2/11 + 24212*a/11 + 145344/11 = 0.
-6, 12112
Factor -b**3 - 1860*b**2 - 29568*b - 118016.
-(b + 8)**2*(b + 1844)
Factor 5*m**4 + 890*m**3 + 37660*m**2 - 184730*m - 869505.
5*(m - 7)*(m + 3)*(m + 91)**2
Suppose -3*n**4 - 9909*n**3 + 89343*n**2 - 268191*n + 268272 = 0. What is n?
-3312, 3
Factor -3*r**3 + 306684*r**2 - 3679884*r + 11039328.
-3*(r - 102216)*(r - 6)**2
Find r, given that -r**2 - 4057*r + 4058 = 0.
-4058, 1
Determine h, given that 7*h**4/2 - 2167*h**3/6 = 0.
0, 2167/21
Suppose -3*w**4/8 - 69*w**3/4 - 1611*w**2/8 - 303*w/2 + 741/2 = 0. Calculate w.
-26, -19, -2, 1
Factor d**2/3 - 70607*d - 211822/3.
(d - 211822)*(d + 1)/3
Factor -26*p**2/5 + 2064*p/5 + 418.
-2*(p + 1)*(13*p - 1045)/5
Let -o**5/3 + 85*o**4/3 - 1246*o**3/3 + 2076*o**2 - 2376*o - 4896 = 0. What is o?
-1, 6, 68
Factor o**3/2 + 403*o**2/2 - 2265*o + 4968.
(o - 8)*(o - 3)*(o + 414)/2
Factor -3*g**2 + 14241*g - 297738.
-3*(g - 4726)*(g - 21)
Solve 4*v**5/9 + 1652*v**4/9 - 1660*v**3/3 + 4988*v**2/9 - 1664*v/9 = 0 for v.
-416, 0, 1
Factor s**3 + 16359*s**2 + 66830544*s - 602800704.
(s - 9)*(s + 8184)**2
Factor -2*o**2/5 + 4556*o/5 - 135552.
-2*(o - 2118)*(o - 160)/5
Let -5*f**2 + 9170*f + 509760 = 0. What is f?
-54, 1888
Determine y so that 4*y**3 + 2356*y**2 - 11936*y - 33264 = 0.
-594, -2, 7
Factor -m**2/2 - 129*m + 17444.
-(m - 98)*(m + 356)/2
Factor 676*w**4 - 243776*w**3 + 24346464*w**2 - 427170560*w + 2075713600.
4*(w - 170)**2*(13*w - 134)**2
Suppose -b**2/4 - 44775*b/4 - 22387/2 = 0. Calculate b.
-44774, -1
Factor 189*k**2 - 49884*k - 3168.
3*(k - 264)*(63*k + 4)
Determine w so that 5*w**3 + 8230*w**2 + 3529925*w + 116644500 = 0.
-805, -36
Factor 2*q**3/17 - 18604*q**2/17 + 43189090*q/17 + 346704400/17.
2*(q - 4655)**2*(q + 8)/17
Factor 1660*u**3 + 1892*u**2 - 2856*u.
4*u*(u + 2)*(415*u - 357)
Factor 3*a**2/4 - 3375*a/4.
3*a*(a - 1125)/4
Let -2*m**2 + 512444*m - 32824856642 = 0. Calculate m.
128111
What is k in k**3/3 + 811*k**2/3 + 3232*k/3 + 1076 = 0?
-807, -2
Determine w, given that 4*w**5/5 + 172*w**4/5 - 2692*w**3/5 - 572*w**2 = 0.
-55, -1, 0, 13
Determine a, given that 2*a**4/3 - 1862*a**3/3 - 15250*a**2 - 85906*a/3 - 42020/3 = 0.
-22, -1, 955
Factor 2*k**3/3 - 14694*k**2 - 29390*k - 44086/3.
2*(k - 22043)*(k + 1)**2/3
Suppose -5*h**4/4 - 987*h**3/4 - 1541*h**2 - 2487*h - 764 = 0. Calculate h.
-191, -4, -2, -2/5
Factor -1323*a**3 + 8807463*a**2 - 1677576*a + 79884.
-3*(a - 6657)*(21*a - 2)**2
Suppose -5*r**5 - 50*r**4 - 85*r**3 - 40*r**2 = 0. Calculate r.
-8, -1, 0
Find f such that 36*f**5/7 + 1560*f**4/7 + 6277*f**3/7 + 7579*f**2/7 + 2032*f/7 + 156/7 = 0.
-39, -2, -1/6
Let -4*x**5/7 + 116*x**4/7 - 400*x**3/7 = 0. What is x?
0, 4, 25
Solve 3*u**3/7 - 1488*u**2/7 + 28185*u/7 + 25500 = 0.
-5, 25, 476
Factor x**2/4 - 387*x/2 + 16272.
(x - 678)*(x - 96)/4
Suppose -3*b**3/7 + 35079*b**2/7 - 14646735*b - 102562227/7 = 0. What is b?
-1, 5847
Factor 10*b**2 + 301662*b - 241336.
2*(b + 30167)*(5*b - 4)
Solve 2*c**5/15 - 4918*c**4/15 + 78068*c**3/15 + 263732*c**2/15 + 273578*c/15 + 92834/15 = 0.
-1, 19, 2443
Determine h so that -2*h**3/5 + 108*h**2/5 + 1232*h/5 + 3072/5 = 0.
-6, -4, 64
Solve 2*y**2/11 + 1896*y/11 + 2210 = 0.
-935, -13
What is y in -y**2/2 - 2195*y - 4389/2 = 0?
-4389, -1
Factor -25*o**3 + 890*o**2 - 7340*o - 3080.
-5*(o - 22)*(o - 14)*(5*o + 2)
Suppose -5*g**5/3 + 7340*g**4 - 73295*g**3 + 813190*g**2/3 - 439460*g + 263640 = 0. What is g?
2, 3, 4394
Suppose -2*y**5/3 - 1348*y**4/3 + 4*y**3/3 + 2696*y**2/3 - 2*y/3 - 1348/3 = 0. Calculate y.
-674, -1, 1
Factor 3*u**3 + 23778*u**2 - 118965*u.
3*u*(u - 5)*(u + 7931)
Solve 5*d**4 - 603*d**3 + 20520*d**2 - 137536*d + 75264 = 0 for d.
3/5, 8, 56
Factor -3262*r**2 - 9774*r + 36.
-2*(r + 3)*(1631*r - 6)
Suppose 20*m**5 + 895*m**4 + 6715*m**3 + 15125*m**2 + 6585*m - 2700 = 0. What is m?
-36, -5, -3, -1, 1/4
Factor -k**2 + 474070*k - 56185591225.
-(k - 237035)**2
Determine u so that 22149*u**2/7 - 22110*u/7 - 39/7 = 0.
-13/7383, 1
Find x such that -x**4/2 + 9*x**3 + 364*x**2 + 2880*x + 6400 = 0.
-10, -8, -4, 40
Let -10*f**5/7 - 1968*f**4/7 + 342*f**3 + 3560*f**2/7 - 792*f/7 = 0. What is f?
-198, -1, 0, 1/5, 2
Factor 3*k**3/4 - 6*k**2 - 3*k/4 + 6.
3*(k - 8)*(k - 1)*(k + 1)/4
Factor -3*d**3/4 + 363*d**2/2 - 21315*d/4 - 756900.
-3*(d 