(d - 1)/12
Solve z**2/4 + 12*z + 23 = 0 for z.
-46, -2
Determine b, given that -b**4 - 13*b**3 - 37*b**2 - 3*b + 54 = 0.
-9, -3, -2, 1
Factor 3*c**4 - 258*c**3 - 9*c**2 + 780*c - 516.
3*(c - 86)*(c - 1)**2*(c + 2)
Solve 2*w**4 - 76*w**3 + 714*w**2 + 304*w - 2888 = 0.
-2, 2, 19
Determine r so that 2*r**3/3 + 2*r**2 - 8*r/3 = 0.
-4, 0, 1
Determine k, given that -7*k**5 + 194*k**4 - 301*k**3 - 298*k**2 + 308*k + 104 = 0.
-1, -2/7, 1, 2, 26
Determine k, given that k**5/7 - 173*k**4/7 + 10411*k**3/7 - 241615*k**2/7 + 1476200*k/7 - 2662000/7 = 0.
4, 55
What is t in t**3/3 + 12*t**2 + 161*t/3 + 62 = 0?
-31, -3, -2
Solve -2*y**2/7 - 292*y/7 - 1410/7 = 0 for y.
-141, -5
Factor g**3/7 - 2*g**2 + 8*g - 64/7.
(g - 8)*(g - 4)*(g - 2)/7
Factor v**5 + 3*v**4 - 40*v**3 - 52*v**2 + 288*v + 448.
(v - 4)**2*(v + 2)**2*(v + 7)
Factor 2*w**3 - 1124*w**2 + 162322*w - 1227664.
2*(w - 277)**2*(w - 8)
Factor 5*w**3 - 55*w**2 + 95*w - 45.
5*(w - 9)*(w - 1)**2
Let 957*f**5 - 6*f**4 - 2871*f**3 + 1932*f**2 - 12*f = 0. What is f?
-2, 0, 2/319, 1
Factor -2*x**2/13 + 292*x/13 - 290/13.
-2*(x - 145)*(x - 1)/13
Factor 3*d**3 + 6*d**2 - 15*d - 18.
3*(d - 2)*(d + 1)*(d + 3)
Suppose n**4/9 - 40*n**3/9 + 61*n**2/3 - 284*n/9 + 140/9 = 0. What is n?
1, 2, 35
Factor 3*d**2/5 + 63*d + 312/5.
3*(d + 1)*(d + 104)/5
Factor 9*x**2 - 2446*x - 544.
(x - 272)*(9*x + 2)
Factor -f**3 - 10*f**2.
-f**2*(f + 10)
Factor 2*b**2 + 2612*b + 852818.
2*(b + 653)**2
Factor -2*b**2/11 + 17088*b/11 - 36499968/11.
-2*(b - 4272)**2/11
Factor 20*n**3 + 6296*n**2 + 491696*n - 599136.
4*(n + 158)**2*(5*n - 6)
Factor 3*a**3 - 24*a**2 - 135*a - 108.
3*(a - 12)*(a + 1)*(a + 3)
Solve 5*h**3/4 + 11*h**2/4 - 13*h/4 - 3/4 = 0.
-3, -1/5, 1
Factor 10*l**3/9 + 334*l**2/9 - 568*l/9 - 280/9.
2*(l - 2)*(l + 35)*(5*l + 2)/9
Factor -l**3/3 + 8*l**2/3 + 4*l - 48.
-(l - 6)**2*(l + 4)/3
Find y, given that 60*y**2 - 2696*y - 180 = 0.
-1/15, 45
Factor -2*h**5/3 + 230*h**4/3 - 7580*h**3/3 + 16340*h**2/3 + 1682590*h/3 + 7791686/3.
-2*(h - 43)**3*(h + 7)**2/3
Find n, given that n**5/7 + 316*n**4/7 + 26179*n**3/7 + 189412*n**2/7 - 3740*n - 27104 = 0.
-154, -8, -1, 1
Factor -o**3/2 - 5*o**2/2 + 11*o + 28.
-(o - 4)*(o + 2)*(o + 7)/2
Find o, given that -3*o**2/5 + 145*o - 482/5 = 0.
2/3, 241
Factor 21*r**2 + 1851*r + 264.
3*(r + 88)*(7*r + 1)
Factor -2*t**3/7 + 2*t**2 + 82*t/7 + 66/7.
-2*(t - 11)*(t + 1)*(t + 3)/7
Find h, given that 4*h**4 - 52*h**3 - 116*h**2 - 60*h = 0.
-1, 0, 15
Factor m**2 + 327*m - 328.
(m - 1)*(m + 328)
Factor y**2/4 + 3*y - 7.
(y - 2)*(y + 14)/4
Suppose 5*j**2 + 6550*j + 2145125 = 0. What is j?
-655
What is n in -2*n**2/3 - 484*n/3 + 992 = 0?
-248, 6
Factor -3*f**3/2 - 117*f**2/2 - 57*f.
-3*f*(f + 1)*(f + 38)/2
Factor -2*t**3 - 816*t**2 - 80730*t + 514188.
-2*(t - 6)*(t + 207)**2
Factor -4*y**3 + 56*y**2 - 44*y - 104.
-4*(y - 13)*(y - 2)*(y + 1)
Determine z, given that -z**4/4 - 38*z**3 - 3107*z**2/2 - 8322*z - 47961/4 = 0.
-73, -3
Suppose 286*z**4 - 576*z**3 - 278*z**2 + 576*z - 8 = 0. Calculate z.
-1, 2/143, 1, 2
Solve c**3/3 + 231*c**2 + 39672*c - 121104 = 0 for c.
-348, 3
Let -3*j**3 + 1890*j**2 + 1893*j = 0. Calculate j.
-1, 0, 631
Suppose 5*b**2 - 20475*b - 20480 = 0. Calculate b.
-1, 4096
Let 6*l**3 - 16*l**2 - 370*l + 252 = 0. Calculate l.
-7, 2/3, 9
Factor -a**3 - 404*a**2 - 1604*a - 1600.
-(a + 2)**2*(a + 400)
Factor -2*w**4/7 - 4*w**3/7 + 6*w**2/7.
-2*w**2*(w - 1)*(w + 3)/7
Suppose -15*s**5/2 - 393*s**4 - 297*s**3/2 + 393*s**2 + 156*s = 0. What is s?
-52, -1, -2/5, 0, 1
Let 4*g**3 + 4*g**2 - 4*g - 4 = 0. Calculate g.
-1, 1
Solve 14*m**4/15 + 58*m**3/3 + 602*m**2/5 + 662*m/3 - 220/3 = 0.
-11, -5, 2/7
Find p, given that 25*p**5/2 + 55*p**4/2 - 81*p**3/2 - 43*p**2/2 + 28*p - 6 = 0.
-3, -1, 2/5, 1
Factor -h**4 + 126*h**3 - 4092*h**2 + 7688*h.
-h*(h - 62)**2*(h - 2)
Factor -z**2 - 7*z - 12.
-(z + 3)*(z + 4)
Solve -34*k**3/3 + 5638*k**2/3 - 233230*k/3 - 13778 = 0.
-3/17, 83
Find a, given that 8*a**4 - 804*a**3 + 19000*a**2 - 135300*a + 63000 = 0.
1/2, 15, 70
Factor a**5/7 + 2*a**4/7 - 6*a**3/7 - 4*a**2/7 + 13*a/7 - 6/7.
(a - 1)**3*(a + 2)*(a + 3)/7
Determine i so that -5*i**3 + 560*i**2 + 5*i - 560 = 0.
-1, 1, 112
Suppose l**2/4 + 7*l/2 - 15/4 = 0. Calculate l.
-15, 1
Factor -x**2 - 12*x - 20.
-(x + 2)*(x + 10)
Factor -4*d**2 + 4616*d - 1331716.
-4*(d - 577)**2
Factor 3*o**4 + 63*o**3 + 261*o**2 + 345*o + 144.
3*(o + 1)**2*(o + 3)*(o + 16)
Let -10*v**2 + 365*v - 180 = 0. Calculate v.
1/2, 36
Factor 2*l**3 - 280*l**2 - 282*l.
2*l*(l - 141)*(l + 1)
Factor 3*j**2 - 156*j + 1980.
3*(j - 30)*(j - 22)
What is w in 20*w**2 + 6875*w - 1720 = 0?
-344, 1/4
What is j in 2*j**3/5 - 4*j**2/5 - 2*j + 12/5 = 0?
-2, 1, 3
Solve -2*j**2/9 + 38*j/3 = 0 for j.
0, 57
What is r in r**5 - 12*r**4 + 52*r**3 - 96*r**2 + 64*r = 0?
0, 2, 4
Factor -3*u**3/2 - 129*u**2/2 + 1320*u - 5664.
-3*(u - 8)**2*(u + 59)/2
Determine c, given that 5*c**4 + 35*c**3 - 50*c**2 - 80*c = 0.
-8, -1, 0, 2
Determine k, given that 2*k**2 - 76*k - 246 = 0.
-3, 41
Factor 4*r**3 - 200*r**2.
4*r**2*(r - 50)
Let -3*q**3/2 - 126*q**2 - 495*q/2 - 123 = 0. What is q?
-82, -1
Let -95*p**4 - 10*p**3 + 95*p**2 + 10*p = 0. Calculate p.
-1, -2/19, 0, 1
Factor -5*u**4 + 45*u**3 + 725*u**2 - 765*u.
-5*u*(u - 17)*(u - 1)*(u + 9)
Let -2*r**2/13 + 44*r/13 + 96/13 = 0. Calculate r.
-2, 24
Factor 3888*k**5 + 3672*k**4 + 1299*k**3 + 204*k**2 + 12*k.
3*k*(4*k + 1)**2*(9*k + 2)**2
Let 4*j**5/7 + 24*j**4/7 + 12*j**3/7 - 40*j**2/7 = 0. Calculate j.
-5, -2, 0, 1
Find y such that -125*y**3/6 - 2675*y**2/3 - 25760*y/3 + 62720/3 = 0.
-112/5, 2
Factor 3*c**5/7 - 444*c**4/7 + 15978*c**3/7 + 33300*c**2/7 + 16875*c/7.
3*c*(c - 75)**2*(c + 1)**2/7
Factor u**3/4 - 21*u**2 - 1141*u/4 - 264.
(u - 96)*(u + 1)*(u + 11)/4
Find o, given that -2*o**4/11 + 230*o**3/11 + 466*o**2/11 + 234*o/11 = 0.
-1, 0, 117
Let 2*y**4/13 - 10*y**3/13 + 14*y**2/13 - 6*y/13 = 0. What is y?
0, 1, 3
Factor -2*z**2 - 160*z + 498.
-2*(z - 3)*(z + 83)
Suppose -d**2/2 + 1171*d + 2344 = 0. What is d?
-2, 2344
Determine a so that -10*a**4 - 65*a**3/2 - 55*a**2/2 - 5*a = 0.
-2, -1, -1/4, 0
Solve 3*z**4 - 87*z**3 + 492*z**2 - 660*z = 0.
0, 2, 5, 22
Find w, given that 50*w**5/9 - 320*w**4/9 + 632*w**3/9 - 164*w**2/9 - 682*w/9 + 484/9 = 0.
-1, 1, 2, 11/5
Let -2*m**4 - 32*m**3 + 240*m**2 + 6400*m + 28000 = 0. Calculate m.
-10, 14
Factor -d**5 - d**4 + 91*d**3 + 181*d**2 + 90*d.
-d*(d - 10)*(d + 1)**2*(d + 9)
Factor -6*y**4 - 28*y**3 - 34*y**2 - 12*y.
-2*y*(y + 1)*(y + 3)*(3*y + 2)
Suppose x**2 + 1096*x + 300304 = 0. Calculate x.
-548
Factor 2*p**3 + 4*p**2 - 38*p - 40.
2*(p - 4)*(p + 1)*(p + 5)
Let 45*w**5 + 1560*w**4 - 2170*w**3 - 340*w**2 + 725*w + 180 = 0. Calculate w.
-36, -1/3, 1
Determine d, given that -d**5/2 + 13*d**4/2 + 29*d**3/2 + 15*d**2/2 = 0.
-1, 0, 15
Factor -70*y**2 + 15*y.
-5*y*(14*y - 3)
Factor -s**4 + 11*s**3 + 46*s**2 - 56*s.
-s*(s - 14)*(s - 1)*(s + 4)
Find o, given that 3*o**3 + 6*o**2 - 60*o + 72 = 0.
-6, 2
Suppose r**2 + 322*r + 957 = 0. Calculate r.
-319, -3
Determine s so that -42*s**4/5 + 58*s**3/5 - 16*s**2/5 = 0.
0, 8/21, 1
Factor r**3/2 - 336*r**2 - 3385*r/2.
r*(r - 677)*(r + 5)/2
Factor z**5/4 - z**4/2 - z**3/4 + z**2/2.
z**2*(z - 2)*(z - 1)*(z + 1)/4
Factor 2*l**2/17 - 72/17.
2*(l - 6)*(l + 6)/17
Solve -c**3 + 3*c**2/2 + 3*c/2 - 1 = 0.
-1, 1/2, 2
Factor 3*y**4 - 85*y**3 + 187*y**2 - 131*y + 26.
(y - 26)*(y - 1)**2*(3*y - 1)
Factor -b**3/3 + 74*b**2 - 432*b.
-b*(b - 216)*(b - 6)/3
Factor 14*r**3/3 - 82*r**2/9 + 38*r/9 + 2/9.
2*(r - 1)**2*(21*r + 1)/9
Find m, given that -3*m**4 - 279*m**3 + 285*m**2 + 279*m - 282 = 0.
-94, -1, 1
Let -t**4/8 - 5*t**3/8 = 0. Calculate t.
-5, 0
Let -27*p**3 + 96*p**2 = 0. What is p?
0, 32/9
Let -f**2 - 352*f + 353 = 0. Calculate f.
-353, 1
Factor 130*h**2 + 4676*h/3 - 16.
2*(h + 12)*(195*h - 2)/3
Factor 2*j**2 - 34*j + 60.
2*(j - 15)*(j - 2)
Factor -2*s**2 - 400*s.
-2*s*(s + 200)
Factor -5*f**3 + 10*f**2 + 25*f - 30.
-5*(f - 3)*(f - 1)*(f + 2)
Let q**3 + 2*q**2 - q - 2 = 0. Calculate q.
-2, -1, 1
Suppose -17711*w**2 + 17713*w - 2 = 0. What is w?
2/17711, 1
Suppose 4*t**5/3 + 8*t**4/3 - 20*t**3 - 128*t**2/3 - 64*t/3 = 0. Calculate t.
-4, -1, 0, 4
Find o, given that o**2/4 - 3*o - 45/4 = 0.
-3, 15
Suppose -3*f**3 - 2355*f**2 + 4719*f - 2361 = 0. Calculate f.
-787, 1