*p**2/4 + 585*p/4 + 291/2 = 0.
-194, -1
Factor 3*y**4 + 3*y**3 - 975*y**2 + 969*y.
3*y*(y - 17)*(y - 1)*(y + 19)
Determine m so that -m**3/3 - m**2 + 13*m/3 + 5 = 0.
-5, -1, 3
Let 5*d**2 - 169*d - 34 = 0. Calculate d.
-1/5, 34
Factor -q**5/4 + 2437*q**4/4 - 744197*q**3/2 + 2225285*q**2/2 - 4445701*q/4 + 1481089/4.
-(q - 1217)**2*(q - 1)**3/4
Factor -4*s**2 - 68*s - 64.
-4*(s + 1)*(s + 16)
Solve -182*h**3/9 - 3356*h**2/9 - 1448*h/9 - 16 = 0 for h.
-18, -2/7, -2/13
Factor -4*x**3 - 144*x**2 - 140*x.
-4*x*(x + 1)*(x + 35)
Factor -486*y**3 - 189*y**2 + 120*y + 48.
-3*(2*y - 1)*(9*y + 4)**2
Factor -2*r**4/5 - 632*r**3/5 - 49292*r**2/5 + 100488*r/5 - 50562/5.
-2*(r - 1)**2*(r + 159)**2/5
Factor 445*z**2/2 - z.
z*(445*z - 2)/2
Determine b, given that -49298*b**2/7 + 13816*b/7 - 968/7 = 0.
22/157
Let 2*r**4 + 88*r**3 - 182*r**2 + 92*r = 0. Calculate r.
-46, 0, 1
Factor l**5/5 + 8*l**4 + 472*l**3/5 + 288*l**2 + 1296*l/5.
l*(l + 2)**2*(l + 18)**2/5
Solve -16*c**4 + 12*c**3 + 4*c**2 = 0 for c.
-1/4, 0, 1
What is p in 3*p**4/8 - 1155*p**3/4 + 864*p**2 - 3453*p/4 + 2301/8 = 0?
1, 767
Solve 3*n**2 + 237*n - 486 = 0.
-81, 2
Factor -y**4/6 + 2*y**3 - 6*y**2.
-y**2*(y - 6)**2/6
Find z such that 75*z**4/4 - 135*z**3 - 492*z**2 - 324*z - 60 = 0.
-2, -2/5, 10
Determine q so that -2*q**4/5 - 78*q**3/5 + 252*q**2/5 - 8*q/5 - 336/5 = 0.
-42, -1, 2
Factor -4*m**3 + 492*m**2 + 496*m.
-4*m*(m - 124)*(m + 1)
Find q, given that 98*q**4 + 140*q**3 - 104*q**2 + 16*q = 0.
-2, 0, 2/7
Find h, given that h**3/5 + 12*h**2 + 240*h + 1600 = 0.
-20
Factor k**4/5 - 3*k**3/5 - 6*k**2/5 + 8*k/5.
k*(k - 4)*(k - 1)*(k + 2)/5
Factor 2*t**5/9 + 2*t**4 - 4*t**3/3 - 124*t**2/9 - 50*t/3 - 6.
2*(t - 3)*(t + 1)**3*(t + 9)/9
Factor -4*c**3 - 1260*c**2 - 1256*c.
-4*c*(c + 1)*(c + 314)
Factor -45*c**3 + 131*c**2 - 416*c/5 + 76/5.
-(5*c - 2)**2*(9*c - 19)/5
Factor 3*m**5 + 60*m**4 - 4032*m**3 - 134946*m**2 - 1027971*m + 1166886.
3*(m - 42)*(m - 1)*(m + 21)**3
Let -3*n**4 - 87*n**3/4 - 9*n**2/4 + 87*n/4 + 21/4 = 0. Calculate n.
-7, -1, -1/4, 1
Factor 3*y**3/2 + 2331*y**2 + 1207458*y + 208487748.
3*(y + 518)**3/2
Factor -3*z**2/8 - 2250*z - 3375000.
-3*(z + 3000)**2/8
Determine m, given that -2*m**4/5 - 62*m**3/5 + 66*m**2/5 + 62*m/5 - 64/5 = 0.
-32, -1, 1
Factor 5*g**4 + 105*g**3 - 480*g**2 + 500*g.
5*g*(g - 2)**2*(g + 25)
Determine w, given that -20*w**4 + 622*w**3 - 662*w**2 + 60*w = 0.
0, 1/10, 1, 30
Factor g**3 + 93*g**2 + 1106*g.
g*(g + 14)*(g + 79)
Determine c so that c**3 + 5*c**2 - 13*c + 7 = 0.
-7, 1
Determine f so that -4*f**2 + 32*f - 28 = 0.
1, 7
Find y, given that -y**5 + 4*y**4 - 4*y**3 - 2*y**2 + 5*y - 2 = 0.
-1, 1, 2
Factor v**5 + 19*v**4 + 110*v**3 + 266*v**2 + 273*v + 99.
(v + 1)**2*(v + 3)**2*(v + 11)
Factor -a**2/4 + 187*a/2 - 373/4.
-(a - 373)*(a - 1)/4
Factor 142*b**3/11 + 5116*b**2/11 + 46152*b/11 + 1296/11.
2*(b + 18)**2*(71*b + 2)/11
Factor 2*z**2/7 + 2948*z/7 + 1086338/7.
2*(z + 737)**2/7
Determine g, given that -21*g**5/8 - 57*g**4/8 + 81*g**3/8 + 129*g**2/8 - 21*g + 9/2 = 0.
-3, -2, 2/7, 1
Factor -4*o**4/3 + 100*o**3/3 - 308*o**2 + 3724*o/3 - 5488/3.
-4*(o - 7)**3*(o - 4)/3
What is b in -22*b**3/9 + 28*b**2/3 + 1336*b/9 + 80/3 = 0?
-6, -2/11, 10
What is v in -v**5/6 - v**4/6 + 11*v**3/6 + 29*v**2/6 + 13*v/3 + 4/3 = 0?
-2, -1, 4
Factor 2*o**3/9 - 18*o**2 + 106*o/3 - 158/9.
2*(o - 79)*(o - 1)**2/9
Suppose -9*h**5 - 93*h**4 - 285*h**3 - 207*h**2 + 114*h + 120 = 0. What is h?
-5, -4, -1, 2/3
Factor -4*h**2 + 40*h - 36.
-4*(h - 9)*(h - 1)
Factor -4*y**2/5 + 84*y/5 - 16.
-4*(y - 20)*(y - 1)/5
Find j such that -j**3/3 - 24*j**2 + 49*j - 74/3 = 0.
-74, 1
Factor -61*q**3/4 + 31*q**2 + 179*q/4 - 3/2.
-(q - 3)*(q + 1)*(61*q - 2)/4
Suppose -3*y**2/5 + 34*y/5 + 24/5 = 0. What is y?
-2/3, 12
Suppose -c**3 + 39*c**2 + 177*c - 215 = 0. What is c?
-5, 1, 43
Factor -x**3 + 2*x**2.
-x**2*(x - 2)
Find q, given that -5*q**5 - 20*q**4 + 15*q**3 + 50*q**2 - 40*q = 0.
-4, -2, 0, 1
Factor -2*x**2 + 124*x.
-2*x*(x - 62)
Suppose -2*q**5/5 + 34*q**4/5 + 2*q**3/5 - 34*q**2/5 = 0. What is q?
-1, 0, 1, 17
Find p, given that p**4/7 + 5*p**3/7 + 3*p**2/7 - 9*p/7 = 0.
-3, 0, 1
Factor -147*q**3/4 - 21*q**2 - 3*q.
-3*q*(7*q + 2)**2/4
Factor -261*f**2 + 1329*f/5 - 24/5.
-3*(f - 1)*(435*f - 8)/5
Factor c**5 + 36*c**4 + 363*c**3 + 944*c**2 - 1344*c.
c*(c - 1)*(c + 8)**2*(c + 21)
Factor -3*m**3 + 18*m**2.
-3*m**2*(m - 6)
Factor -f**4/2 - 8*f**3 + 3*f**2/2 + 275*f - 484.
-(f - 4)*(f - 2)*(f + 11)**2/2
Determine n so that 20*n**4 - 205*n**3 - 1170*n**2 + 1705*n - 350 = 0.
-5, 1/4, 1, 14
Find w, given that 3*w**3/7 - 1371*w**2/7 - 3*w/7 + 1371/7 = 0.
-1, 1, 457
Suppose 3*n**5 - 24*n**4 + 66*n**3 - 72*n**2 + 27*n = 0. Calculate n.
0, 1, 3
Let -5*j**5/3 - 25*j**4/3 + 25*j**3/3 + 125*j**2/3 - 200*j/3 + 80/3 = 0. Calculate j.
-4, 1
What is x in -x**5/5 - 8*x**4/5 + 32*x**3/5 + 134*x**2/5 + 29*x + 10 = 0?
-10, -1, 5
Factor -p**3 + 239*p**2 - 12319*p - 241935.
-(p - 127)**2*(p + 15)
Factor -s**4/6 + s**3/3 + s**2/6 - s/3.
-s*(s - 2)*(s - 1)*(s + 1)/6
Factor 3*g**3 - 90*g**2 - 192*g.
3*g*(g - 32)*(g + 2)
Factor -2*v**5/17 + 232*v**4/17 + 948*v**3/17 + 1432*v**2/17 + 958*v/17 + 240/17.
-2*(v - 120)*(v + 1)**4/17
Factor -2*q**3 - 6420*q**2 - 6869400*q - 2450086000.
-2*(q + 1070)**3
Factor -2*n**3/9 - 334*n**2 - 2002*n/3 - 3002/9.
-2*(n + 1)**2*(n + 1501)/9
Factor b**3/10 + 57*b**2/5 + 3657*b/10 + 11236/5.
(b + 8)*(b + 53)**2/10
Factor 3*t**5 - 15*t**4 + 3*t**3 + 51*t**2 - 66*t + 24.
3*(t - 4)*(t - 1)**3*(t + 2)
Suppose a**4/3 + 122*a**3/3 + 121*a**2/3 = 0. Calculate a.
-121, -1, 0
Find l, given that -4*l**5 + 4298*l**4 - 1159912*l**3 + 2881538*l**2 - 2300512*l + 574592 = 0.
1/2, 1, 536
Let 5*j**5 - 20*j**3 + 10*j**2 + 15*j - 10 = 0. Calculate j.
-2, -1, 1
Factor -2*v**3/3 - 16*v**2/3 - 14*v - 12.
-2*(v + 2)*(v + 3)**2/3
Determine h, given that 4*h**3/3 - h**2 - 2*h + 5/3 = 0.
-5/4, 1
Find u, given that 4*u**5/5 + 18*u**4/5 - 54*u**3/5 - 22*u**2 - 6*u/5 + 36/5 = 0.
-6, -1, 1/2, 3
What is l in 5*l**3 - 70*l**2 + 245*l = 0?
0, 7
Factor 3*p**5 + 24*p**4 - 225*p**3 + 378*p**2.
3*p**2*(p - 3)**2*(p + 14)
Determine v, given that -v**4/4 - v**3/4 + 31*v**2/4 + 25*v/4 - 75/2 = 0.
-5, -3, 2, 5
Factor 35*g**2 - 40*g + 5.
5*(g - 1)*(7*g - 1)
Factor -4*v**2/5 - 56*v/5 - 36.
-4*(v + 5)*(v + 9)/5
Determine k so that -3*k**2 - 36*k = 0.
-12, 0
Suppose -4*h**2/7 + 152*h/7 - 60 = 0. What is h?
3, 35
Find h such that -3*h**4 - 6*h**3 + 12*h**2 + 6*h - 9 = 0.
-3, -1, 1
Factor r**3/3 - 37*r**2/3 + 323*r/3 + 361/3.
(r - 19)**2*(r + 1)/3
Suppose 4*l**2 + 1512*l = 0. Calculate l.
-378, 0
Factor 2*w**2 + 30*w - 32.
2*(w - 1)*(w + 16)
Find w, given that -2*w**5 - 36*w**4 - 220*w**3 - 536*w**2 - 546*w - 196 = 0.
-7, -2, -1
What is d in 21*d**5/5 - 24*d**4 + 237*d**3/5 - 174*d**2/5 + 12*d/5 + 24/5 = 0?
-2/7, 1, 2
Suppose 3*y**3/2 - 21*y**2/2 - 12*y = 0. What is y?
-1, 0, 8
What is o in -2*o**3 - 20*o**2 - 64*o - 64 = 0?
-4, -2
Factor 2*z**4/3 + 10*z**3 - 112*z**2 - 5096*z/3.
2*z*(z - 13)*(z + 14)**2/3
Solve -2*h**4/19 - 80*h**3/19 - 74*h**2/19 + 156*h/19 = 0.
-39, -2, 0, 1
Factor -k**5 + 55*k**4 + 230*k**3 + 350*k**2 + 235*k + 59.
-(k - 59)*(k + 1)**4
Let -8*z**4/3 - 56*z**3/3 + 2*z**2 + 44*z/3 + 14/3 = 0. Calculate z.
-7, -1/2, 1
What is g in 5*g**3 + 10500*g**2 + 7350000*g + 1715000000 = 0?
-700
Suppose -4*n**3 - 44*n**2 + 48*n = 0. Calculate n.
-12, 0, 1
Factor 4*y**3 + 1148*y**2.
4*y**2*(y + 287)
Factor 2*n**5/21 - 6*n**4/7 + 2*n**3 - 38*n**2/21 + 4*n/7.
2*n*(n - 6)*(n - 1)**3/21
Solve 125*z**4 + 1550*z**3 + 4680*z**2 - 1550*z - 4805 = 0.
-31/5, -1, 1
Factor 2*d**4/15 + 4*d**3/5 + 2*d**2/5 - 4*d/3.
2*d*(d - 1)*(d + 2)*(d + 5)/15
Find n, given that -n**2/4 - 172*n - 343 = 0.
-686, -2
Factor 23716*f**2 - 3080*f + 100.
4*(77*f - 5)**2
Find r such that -r**2/7 + 6*r + 135/7 = 0.
-3, 45
Suppose g**3 + 9*g**2 - 34*g + 24 = 0. What is g?
-12, 1, 2
Let -2*i**2 + 7108*i - 6315458 = 0. Calculate i.
1777
Suppose -y**4/7 - y**3 - y**2 + 15*y/7 = 0. Calculate y.
-5, -3, 0, 1
Factor -4*a**2 + 120*a - 116.
-4*(a - 29)*(a - 1)
Factor 76*f**2 + 1360*f - 144.
4*(f + 18)*(19*f - 2)
Suppose 2*a**3/5 + 14*a**2/5 - 32*a/5 - 224/5 = 0. What is a?
-7, -4, 4
Find f such that 147*f**3 + 210*f**2 - 156*f + 24 = 0.
-2, 2/7
Find w, given that -20*w**5 + 512*w**4 + 268