Calculate h.
0, 1252
Find k, given that -50*k**5 - 260*k**4 + 2782*k**3 - 4288*k**2 + 2168*k - 352 = 0.
-11, 2/5, 1, 4
Find i such that -5*i**5 - 115*i**4 - 705*i**3 - 925*i**2 + 1750*i = 0.
-14, -5, 0, 1
Factor 2*t**3/11 + 312*t**2/11 + 16224*t/11 + 281216/11.
2*(t + 52)**3/11
Factor -2*f**3 + 352*f**2 + 2*f - 352.
-2*(f - 176)*(f - 1)*(f + 1)
Let -v**3/3 + 23*v**2 - 408*v + 1156/3 = 0. What is v?
1, 34
Factor 3*m**4 - 12*m**3 + 6*m**2 + 12*m - 9.
3*(m - 3)*(m - 1)**2*(m + 1)
Solve -5*r**2 - 230*r = 0 for r.
-46, 0
Factor 3*x**2 - 99*x.
3*x*(x - 33)
Let r**5/8 + 31*r**4 + 61*r**3 - 493*r**2/4 - 489*r/8 + 369/4 = 0. What is r?
-246, -3, -1, 1
Solve q**3/2 - 5*q**2 = 0 for q.
0, 10
Factor -b**2/3 - 7*b/3 - 2.
-(b + 1)*(b + 6)/3
Factor -4*t**2 + 16*t + 48.
-4*(t - 6)*(t + 2)
What is u in 3*u**4/5 - 273*u**3/5 + 51*u**2 + 1341*u/5 + 162 = 0?
-1, 3, 90
Factor -3*p**3 + 72*p**2 - 303*p + 342.
-3*(p - 19)*(p - 3)*(p - 2)
Factor -t**2 - 268*t - 17956.
-(t + 134)**2
Solve -2*x**3/5 + 10*x**2 + 52*x/5 = 0.
-1, 0, 26
Factor 3*g**4 - 36*g**3 - 183*g**2 - 144*g.
3*g*(g - 16)*(g + 1)*(g + 3)
Let -4*p**5 - 180*p**4 + 12*p**3 + 548*p**2 + 360*p = 0. What is p?
-45, -1, 0, 2
Find w, given that 2*w**4 - 14*w**3 + 32*w**2 - 24*w = 0.
0, 2, 3
Factor -l**4/4 + 3*l**3/4 - l**2/4 - 3*l/4 + 1/2.
-(l - 2)*(l - 1)**2*(l + 1)/4
Let -3*s**4 - 3*s**3 + 9*s**2 + 3*s - 6 = 0. Calculate s.
-2, -1, 1
Suppose 5*o**5 + 125*o**4 + 345*o**3 + 335*o**2 + 110*o = 0. Calculate o.
-22, -1, 0
Find c, given that 2*c**5/9 + 42*c**4 - 764*c**3/9 = 0.
-191, 0, 2
Factor 2*t**3/7 + 5*t**2/7.
t**2*(2*t + 5)/7
Let -2*r**5/11 - 56*r**4/11 - 24*r**3 + 1792*r**2/11 - 2048*r/11 = 0. Calculate r.
-16, 0, 2
Determine c, given that -2*c**3/7 - 822*c**2/7 - 84870*c/7 - 84050/7 = 0.
-205, -1
Solve u**2/4 + 3*u/2 + 2 = 0.
-4, -2
Factor 2*f**3 + 522*f**2 + 520*f.
2*f*(f + 1)*(f + 260)
Suppose 3*i**5 + 477*i**4 + 2337*i**3 + 4179*i**2 + 3240*i + 924 = 0. What is i?
-154, -2, -1
Factor -y**4/7 + 6*y**3/7 + y**2.
-y**2*(y - 7)*(y + 1)/7
Factor 2*w**3/5 - 18*w**2/5 - 68*w/5 - 48/5.
2*(w - 12)*(w + 1)*(w + 2)/5
Factor 4*d**2 - 1612*d + 3208.
4*(d - 401)*(d - 2)
Factor t**2 + 99*t + 98.
(t + 1)*(t + 98)
Let -5*p**2 + 310*p - 600 = 0. Calculate p.
2, 60
Let 4*s**2/9 - 38680*s/9 + 93508900/9 = 0. What is s?
4835
Suppose 3*d**5 + 66*d**4 - 699*d**3 + 630*d**2 = 0. What is d?
-30, 0, 1, 7
Let 6*g**4 - 1300*g**3 + 2152*g**2 - 428*g - 430 = 0. Calculate g.
-1/3, 1, 215
Factor 2*n**5 - 20*n**4 + 56*n**3 - 12*n**2 - 90*n.
2*n*(n - 5)*(n - 3)**2*(n + 1)
Let -g**4/2 - 5*g**3/2 + g**2 + 12*g = 0. What is g?
-4, -3, 0, 2
Factor -2*r**2 - 84*r - 160.
-2*(r + 2)*(r + 40)
Determine r, given that -2*r**2/15 + 308*r/15 + 208/5 = 0.
-2, 156
Determine x so that -x**3 - 12*x**2 - 35*x - 24 = 0.
-8, -3, -1
Factor u**5 + 97*u**4 + 3634*u**3 + 64538*u**2 + 523181*u + 1399205.
(u + 5)*(u + 23)**4
Factor -2*l**4/11 - 96*l**3/11 - 276*l**2/11 - 272*l/11 - 90/11.
-2*(l + 1)**3*(l + 45)/11
Find t such that t**5/3 - 3*t**4/2 + 7*t**3/3 - 3*t**2/2 + t/3 = 0.
0, 1/2, 1, 2
Factor -75*y**3 + 4320*y**2 - 14823*y + 13122.
-3*(y - 54)*(5*y - 9)**2
Suppose -w**5/2 - 19*w**4/12 - 7*w**3/4 - 3*w**2/4 - w/12 = 0. What is w?
-1, -1/6, 0
Determine r so that r**5 - 3*r**4 - 18*r**3 - 4*r**2 + 24*r = 0.
-2, 0, 1, 6
Suppose -z**3 + 95*z**2 - 1328*z + 5056 = 0. What is z?
8, 79
Let 2*w**4 - 444*w**3/7 - 590*w**2/7 - 132*w/7 = 0. What is w?
-1, -2/7, 0, 33
Factor -6*m**4 - 23*m**3 - 33*m**2 - 21*m - 5.
-(m + 1)**3*(6*m + 5)
Factor -14*g**3 - 18*g**2 + 164*g + 48.
-2*(g - 3)*(g + 4)*(7*g + 2)
Determine f so that -4*f**3 + 4*f**2 + 48*f = 0.
-3, 0, 4
Determine t, given that t**5/2 + 549*t**4/2 + 37811*t**3 + 36990*t**2 - 75076*t = 0.
-274, -2, 0, 1
Factor 5*g**5 + 25*g**4 - 520*g**3.
5*g**3*(g - 8)*(g + 13)
Solve -3*h**4/4 + 39*h**3/2 + 249*h**2 + 738*h + 648 = 0.
-6, -2, 36
Find j, given that 12*j**5 - 16*j**4 - 68*j**3 + 72*j**2 + 80*j - 32 = 0.
-2, -1, 1/3, 2
Factor -4*x**3 - 1836*x**2 - 207900*x + 640332.
-4*(x - 3)*(x + 231)**2
Find j such that j**4 - 53*j**3 - 283*j**2 - 403*j - 174 = 0.
-3, -1, 58
Factor 4*m**3 - 8*m**2 + 4*m.
4*m*(m - 1)**2
Determine x so that -385*x**4 - 450*x**3 + 195*x**2 + 200*x - 60 = 0.
-1, 2/7, 6/11
Determine u so that 2*u**2/19 - 18/19 = 0.
-3, 3
Factor -i**2/9 + 3566*i/9 - 3179089/9.
-(i - 1783)**2/9
Solve -h**2/6 + 151*h/3 + 721/2 = 0.
-7, 309
Factor f**3/4 - 87*f**2/2 - 351*f/4 - 44.
(f - 176)*(f + 1)**2/4
What is x in x**4/4 + 49*x**3/4 - 39*x**2 + x + 52 = 0?
-52, -1, 2
Find o such that 2*o**3/9 + 22*o**2/9 = 0.
-11, 0
Solve -m**5/2 + 3*m**4/2 + 2*m**3 - 6*m**2 = 0 for m.
-2, 0, 2, 3
Suppose -5*k**4 - 45*k**3 + 75*k**2 + 1625*k + 3750 = 0. Calculate k.
-5, 6
Let -2*f**4 + 52*f**3 - 8788*f + 57122 = 0. Calculate f.
-13, 13
Let -6*h**4 - 45*h**3/2 - 18*h**2 + 6*h = 0. What is h?
-2, 0, 1/4
Suppose 3*c**4/5 - 39*c**3/5 + 21*c**2 + 147*c/5 = 0. What is c?
-1, 0, 7
Factor -10*q**2 - 6788*q + 1358.
-2*(q + 679)*(5*q - 1)
Determine w so that 4*w**3/11 + 50*w**2/11 - 28*w/11 - 26/11 = 0.
-13, -1/2, 1
Factor 2*n**2/5 - 940*n + 552250.
2*(n - 1175)**2/5
Let 2*d**5/5 + 186*d**4/5 + 1404*d**3/5 + 3788*d**2/5 + 4098*d/5 + 306 = 0. Calculate d.
-85, -3, -1
Determine n, given that -n**4 - 40*n**3 - 477*n**2 - 1782*n = 0.
-22, -9, 0
Factor -2*m**3/11 + 76*m**2/11 + 16*m - 640/11.
-2*(m - 40)*(m - 2)*(m + 4)/11
Suppose 28*t**4 + 3140*t**3 - 5908*t**2 + 2284*t + 456 = 0. Calculate t.
-114, -1/7, 1
Factor 4*z**4 + 368*z**3 + 2380*z**2.
4*z**2*(z + 7)*(z + 85)
Let 4*r**4 - 16*r**3 - 48*r**2 = 0. Calculate r.
-2, 0, 6
Determine x so that -2*x**2/13 + 16*x/13 + 18/13 = 0.
-1, 9
Factor -14*b**2/17 - 62*b/17 - 60/17.
-2*(b + 3)*(7*b + 10)/17
Factor -x**3 - x**2 + 9*x + 9.
-(x - 3)*(x + 1)*(x + 3)
Solve -26*q**4/3 - 266*q**3/3 - 848*q**2/3 - 280*q = 0.
-5, -42/13, -2, 0
What is c in 25*c**3 + 2015*c**2 + 41200*c + 24000 = 0?
-40, -3/5
Find p such that 2*p**4/3 + 32*p**3/3 - 68*p**2 - 3952*p/3 - 3718/3 = 0.
-13, -1, 11
Find o, given that -o**4 - 1003*o**3 + 3015*o**2 - 3017*o + 1006 = 0.
-1006, 1
Solve -i**5/5 - 138*i**4/5 - 5518*i**3/5 - 63504*i**2/5 + 144119*i/5 - 74958/5 = 0.
-78, -31, 1
Find j, given that 7*j**3/2 + 8*j**2 - 17*j/2 - 3 = 0.
-3, -2/7, 1
Factor 3*l**4/4 - 69*l**3/4.
3*l**3*(l - 23)/4
Factor -a**2/5 - 7*a/5 + 98/5.
-(a - 7)*(a + 14)/5
Determine t so that -4*t**2/5 + 172*t/5 = 0.
0, 43
Suppose -c**5 + c**4/2 + 9*c**3 - 17*c**2/2 - 10*c + 6 = 0. Calculate c.
-3, -1, 1/2, 2
Find d such that -2*d**5/13 - 22*d**4/13 - 64*d**3/13 - 56*d**2/13 = 0.
-7, -2, 0
Solve 4*r**2 - 80*r - 84 = 0.
-1, 21
Factor a**4/4 - 3*a**3/2 + 9*a**2/4.
a**2*(a - 3)**2/4
Solve 3*j**3/4 + 18*j**2 + 495*j/4 + 363/2 = 0 for j.
-11, -2
Factor -3*o**4 - 108*o**3 - 396*o**2 - 384*o.
-3*o*(o + 2)**2*(o + 32)
Factor 2*d**5/3 - 68*d**4/3 + 214*d**3 - 1088*d**2/3 + 512*d/3.
2*d*(d - 16)**2*(d - 1)**2/3
Find f, given that -4*f**5 + 32*f**4 - 16*f**3 - 320*f**2 + 256*f + 1024 = 0.
-2, 4
Factor 27*p**5 + 60*p**4 + 12*p**3 - 54*p**2 - 39*p - 6.
3*(p - 1)*(p + 1)**3*(9*p + 2)
Factor -3*u**5/2 + 9*u**4 + 90*u**3 + 204*u**2 + 144*u.
-3*u*(u - 12)*(u + 2)**3/2
Factor -2*w**2 - 92*w + 94.
-2*(w - 1)*(w + 47)
Factor 48*y**3 + 3070*y**2 + 49024*y - 2048.
2*(y + 32)**2*(24*y - 1)
Determine d so that -5*d**4/6 - 5*d**3/3 + 65*d**2/2 - 60*d = 0.
-8, 0, 3
Let 2*u**3 + 14*u**2 + 32*u + 24 = 0. Calculate u.
-3, -2
Solve -2*v**3 - 55*v**2 + 148*v - 60 = 0.
-30, 1/2, 2
Factor -51*r**2 - 45*r + 6.
-3*(r + 1)*(17*r - 2)
Find t, given that 2*t**2 - 7548*t + 15088 = 0.
2, 3772
Let t**2/4 - 7*t/4 - 2 = 0. What is t?
-1, 8
Factor 2*q**4 - 40*q**3 + 198*q**2 + 40*q - 200.
2*(q - 10)**2*(q - 1)*(q + 1)
Factor -5*v**4 + 5*v**3 + 15*v**2 - 5*v - 10.
-5*(v - 2)*(v - 1)*(v + 1)**2
Let f**5/4 + 3*f**4/2 + 5*f**3/4 = 0. What is f?
-5, -1, 0
Let -c**2/6 - 29*c/2 - 205/3 = 0. Calculate c.
-82, -5
Factor 4*g**4 - 436*g**3 - 440*g**2.
4*g**2*(g - 110)*(g + 1)
Solve -3*a**5/2 - 19*a**4/2 - 45*a**3/2 - 49*a**2/2 - 12*a - 2 = 0 for a.
-2, -1, -1/3
Factor -5*q**2 - 30*q + 80.
-5*(q - 2)*(q + 8)
Find d, given that -2*d**2 - 116*d = 0.
-58, 0
Let -5*c**4 + 5*c**2 = 0. What is c?
-1, 0, 1
Factor -j**2 + 24*j - 144.
-(j - 12)**2
Suppose 4*g**4 - 56*g**3 + 176*g**2 + 56*g - 180 = 0. Calculate g.
-1, 1, 5, 