+ 15*q**2 - 24*q + 12 = 0 for q.
1, 2
Determine m so that 5*m**5 - 25*m**4 + 100*m**2 - 80*m = 0.
-2, 0, 1, 2, 4
Factor -3*o**3/2 + 2097*o**2/2 - 184788*o + 544968.
-3*(o - 348)**2*(o - 3)/2
Factor 5*b**2 + 130*b + 440.
5*(b + 4)*(b + 22)
Solve m**4/3 + 7*m**3/3 - 17*m**2/3 + 3*m = 0.
-9, 0, 1
What is y in 4*y**4 - 16*y**3 - 112*y**2 + 640*y - 768 = 0?
-6, 2, 4
Factor -1305*m**2 + 1295*m + 10.
-5*(m - 1)*(261*m + 2)
Factor -42*n**4 - 6724*n**3 - 269440*n**2 - 25600*n.
-2*n*(n + 80)**2*(21*n + 2)
Factor 18*i**4 - 3920*i**3 + 212986*i**2 + 47524*i.
2*i*(i - 109)**2*(9*i + 2)
Factor -x**4 + 15*x**3 + x**2 - 15*x.
-x*(x - 15)*(x - 1)*(x + 1)
Determine v, given that -35721*v**5/5 - 78246*v**4/5 - 12312*v**3 - 20304*v**2/5 - 2448*v/5 - 96/5 = 0.
-2/3, -2/21
Suppose 2*l**5/7 + 3*l**4/7 + l**3/7 = 0. Calculate l.
-1, -1/2, 0
Suppose -k**4/7 + 20*k**3/7 - 52*k**2/7 - 480*k/7 - 576/7 = 0. Calculate k.
-2, 12
Factor -3*n**2/5 - 63*n/5 + 66/5.
-3*(n - 1)*(n + 22)/5
Factor 5*z**3 + 290*z**2.
5*z**2*(z + 58)
Determine s so that 5*s**2 - 25*s + 20 = 0.
1, 4
Factor n**2/4 - 9*n/4 + 7/2.
(n - 7)*(n - 2)/4
Factor -5*h**3/4 + 5*h**2/4 + 165*h/4 + 315/4.
-5*(h - 7)*(h + 3)**2/4
Factor -2*g**2/9 - 32*g/9 - 32/3.
-2*(g + 4)*(g + 12)/9
Solve -s**4 + 2*s**3 + 19*s**2 - 8*s - 60 = 0 for s.
-3, -2, 2, 5
Solve -3*f**5/7 + 1068*f**4/7 + 3*f**3/7 - 1068*f**2/7 = 0 for f.
-1, 0, 1, 356
Solve 2*n**2/5 - 122*n/5 + 236/5 = 0.
2, 59
Factor 2*j**3/15 + 568*j**2/15 + 39754*j/15 - 81796/15.
2*(j - 2)*(j + 143)**2/15
Determine f so that -f**2/2 + 129*f/2 - 250 = 0.
4, 125
Factor -6*r**3/7 + 9*r**2/7 - 3*r/7.
-3*r*(r - 1)*(2*r - 1)/7
Let -m**3/4 + 3*m**2 - 17*m/4 - 15/2 = 0. Calculate m.
-1, 3, 10
Factor -x**2 + 177*x + 358.
-(x - 179)*(x + 2)
What is y in 2*y**4 + 280*y**3 + 1878*y**2 + 2096*y - 4256 = 0?
-133, -4, 1
What is s in 2*s**5/7 + 10*s**4/7 + 6*s**3/7 - 10*s**2/7 - 8*s/7 = 0?
-4, -1, 0, 1
Factor r**2/3 - 712*r/3 + 1420/3.
(r - 710)*(r - 2)/3
Factor -2*x**3/5 + 136*x**2/5 - 264*x/5.
-2*x*(x - 66)*(x - 2)/5
Solve p**4/3 - 14*p**3/3 - 16*p**2/3 + 14*p/3 + 5 = 0 for p.
-1, 1, 15
Factor -2*u**4 + 10*u**3 + 6*u**2 - 26*u - 20.
-2*(u - 5)*(u - 2)*(u + 1)**2
Factor j**2/5 + j - 6/5.
(j - 1)*(j + 6)/5
What is v in 4*v**4 - 720*v**3 + 17496*v**2 - 151632*v + 446148 = 0?
9, 153
Factor -2*d**2/5 + 3078*d/5 - 3076/5.
-2*(d - 1538)*(d - 1)/5
Factor -196*b**3 + 1484*b**2 - 800*b + 112.
-4*(b - 7)*(7*b - 2)**2
Let -2*p**3 + 74*p**2 + 338*p - 410 = 0. Calculate p.
-5, 1, 41
What is o in 2*o**3 + 400*o**2 + 3086*o + 2688 = 0?
-192, -7, -1
Factor -4*j**4 - 452*j**3 - 2176*j**2 - 1728*j.
-4*j*(j + 1)*(j + 4)*(j + 108)
Factor -2*n**2/3 + 950*n - 5692/3.
-2*(n - 1423)*(n - 2)/3
Factor 2*z**3/11 + 20*z**2/11 - 174*z/11 + 288/11.
2*(z - 3)**2*(z + 16)/11
Let -172*h**4 + 80*h**3 = 0. Calculate h.
0, 20/43
Determine v so that v**5/3 + 53*v**4/3 + 65*v**3 - 53*v**2/3 - 196*v/3 = 0.
-49, -4, -1, 0, 1
Suppose 2*i**5 + 6*i**4 - 14*i**3 - 22*i**2 + 12*i + 16 = 0. What is i?
-4, -1, 1, 2
Let -o**3/2 + 67*o**2 + 135*o/2 = 0. What is o?
-1, 0, 135
Let -d**3/4 + 243*d/4 + 729/2 = 0. What is d?
-9, 18
Factor 68*g**2/5 - 896*g/5 + 156/5.
4*(g - 13)*(17*g - 3)/5
Solve 7*v**5/3 + 25*v**4 + 209*v**3/3 + 193*v**2/3 + 8*v - 28/3 = 0 for v.
-7, -2, -1, 2/7
Let -15*w**4 - 35*w**3 + 125*w**2 + 295*w + 150 = 0. What is w?
-10/3, -1, 3
Factor -5*d**4 - 295*d**3 - 850*d**2 - 560*d.
-5*d*(d + 1)*(d + 2)*(d + 56)
Suppose -k**3/6 + 149*k**2/2 - 8288*k - 25088/3 = 0. Calculate k.
-1, 224
Let 4*p**3 + 1008*p**2 - 14700*p + 52136 = 0. Calculate p.
-266, 7
Factor s**2/3 - 137*s/3 + 344.
(s - 129)*(s - 8)/3
What is x in -9*x**5 + 87*x**4 - 267*x**3 + 297*x**2 - 48*x - 60 = 0?
-1/3, 1, 2, 5
Find a, given that a**5/3 - a**4 - 2*a**3 + 10*a**2/3 + 7*a + 3 = 0.
-1, 3
Factor -2*h**3 + 48*h**2 - 166*h + 120.
-2*(h - 20)*(h - 3)*(h - 1)
Factor 4*t**3 + 48*t**2/5 - 116*t/5 + 48/5.
4*(t - 1)*(t + 4)*(5*t - 3)/5
Suppose 115*x**3 - 30*x**2 = 0. What is x?
0, 6/23
What is i in -70*i**4/3 - 284*i**3/9 - 50*i**2/9 + 32*i/9 + 8/9 = 0?
-1, -2/5, -2/7, 1/3
What is c in -2*c**4/11 - 258*c**3/11 - 494*c**2/11 + 1770*c/11 - 1016/11 = 0?
-127, -4, 1
Solve -2*s**5/11 - 460*s**4/11 - 27356*s**3/11 - 104416*s**2/11 - 128594*s/11 - 51076/11 = 0 for s.
-113, -2, -1
Factor 4*c**2 - 48*c + 80.
4*(c - 10)*(c - 2)
Determine p, given that 3*p**5/4 + 5*p**4/2 - 2*p**3 - 12*p**2 - 4*p + 8 = 0.
-2, 2/3, 2
Factor -m**3/4 - 7*m**2/2 + 209*m + 3630.
-(m - 30)*(m + 22)**2/4
Factor 2*d**4 - 10*d**3 - 78*d**2 + 530*d - 700.
2*(d - 5)**2*(d - 2)*(d + 7)
Factor 5*t**4 + 105*t**3 + 440*t**2 + 660*t + 320.
5*(t + 1)*(t + 2)**2*(t + 16)
Factor -2*d**2/11 + 512*d/11 - 1016/11.
-2*(d - 254)*(d - 2)/11
Solve 2*f**2 + 564*f + 39762 = 0 for f.
-141
Factor 2*x**2 + 5232*x + 3421728.
2*(x + 1308)**2
Suppose -5*t**5 - 150*t**4 - 585*t**3 + 8100*t**2 - 14580*t = 0. What is t?
-18, 0, 3
Let l**4/5 + 16*l**3/5 - 102*l**2/5 - 1976*l/5 - 1859/5 = 0. Calculate l.
-13, -1, 11
Factor 2*j**3/17 + 2104*j**2/17 - 4214*j/17 + 124.
2*(j - 1)**2*(j + 1054)/17
Determine w, given that 2*w**3 + 352*w**2 + 698*w + 348 = 0.
-174, -1
Find m such that -4*m**3 + 6584*m**2 - 2709316*m = 0.
0, 823
Factor 5*f**5 + 20*f**4 - 70*f**2 - 85*f - 30.
5*(f - 2)*(f + 1)**3*(f + 3)
Factor -2*v**2 + 420*v - 22050.
-2*(v - 105)**2
Let 2*a**2 - 6*a = 0. What is a?
0, 3
Let -5*a**3 - 30*a**2 - 15*a + 50 = 0. What is a?
-5, -2, 1
Let -192*m**5/5 - 10224*m**4/5 - 35775*m**3 - 981234*m**2/5 + 813564*m/5 - 157464/5 = 0. Calculate m.
-18, 3/8
Factor -5*n**4 - 60*n**3.
-5*n**3*(n + 12)
Determine o, given that 5*o**3 + 30*o**2 - 65*o - 210 = 0.
-7, -2, 3
Factor 5*p**2 - 2210*p + 244205.
5*(p - 221)**2
Determine z, given that -3*z**3 + 9*z**2 + 48*z - 144 = 0.
-4, 3, 4
Factor -4*z**4 + 20*z**3 - 12*z**2 - 36*z.
-4*z*(z - 3)**2*(z + 1)
What is l in -l**4/2 - 3*l**3/2 + 2*l**2 + 6*l = 0?
-3, -2, 0, 2
Factor -4*j**4 + 56*j**3 - 272*j**2 + 544*j - 384.
-4*(j - 6)*(j - 4)*(j - 2)**2
Let 12*b**4 - 116*b**3 + 360*b**2 - 432*b + 160 = 0. Calculate b.
2/3, 2, 5
Factor 6*i**3 + 279*i**2 + 408*i + 135.
3*(i + 1)*(i + 45)*(2*i + 1)
Factor k**5 + 3*k**4 - 16*k**3 + 12*k**2.
k**2*(k - 2)*(k - 1)*(k + 6)
Solve -l**4 + 3*l**3 + l**2 - 3*l = 0.
-1, 0, 1, 3
Let n**4 - 278*n**3 - n**2 + 278*n = 0. What is n?
-1, 0, 1, 278
Let 50*i**4 + 315*i**3 + 673*i**2 + 552*i + 144 = 0. Calculate i.
-12/5, -1, -1/2
Suppose -2*a**2/5 - 2528*a/5 = 0. What is a?
-1264, 0
What is y in -6*y**2 + 135*y - 444 = 0?
4, 37/2
Factor h**3/5 + 8*h**2/5 + 17*h/5 + 2.
(h + 1)*(h + 2)*(h + 5)/5
Factor -3*u**5 - 12*u**4 - 12*u**3 + 6*u**2 + 15*u + 6.
-3*(u - 1)*(u + 1)**3*(u + 2)
What is s in 5*s**4 - 150*s**3 - 160*s**2 + 150*s + 155 = 0?
-1, 1, 31
What is y in -4*y**3 + 52*y**2 - 128*y + 80 = 0?
1, 2, 10
Determine j so that j**5 - 77*j**4 + 1443*j**3 + 1521*j**2 = 0.
-1, 0, 39
Suppose w**2/5 - 154*w/5 - 31 = 0. Calculate w.
-1, 155
Suppose i**5/3 - 53*i**4/3 + 181*i**3 + 4621*i**2/3 - 3944*i/3 - 13456 = 0. Calculate i.
-4, 3, 29
Factor 80*m**5 + 120*m**4 + 45*m**3 + 5*m**2.
5*m**2*(m + 1)*(4*m + 1)**2
Find i, given that i**4 - 13*i**3 + 39*i**2 - 27*i = 0.
0, 1, 3, 9
Factor y**4 + 4*y**3 + 3*y**2 - 4*y - 4.
(y - 1)*(y + 1)*(y + 2)**2
Let 86*o**3/5 - 434*o**2/5 + 536*o/5 - 24/5 = 0. What is o?
2/43, 2, 3
Factor 20*m**3 + 48*m**2 + 36*m + 8.
4*(m + 1)**2*(5*m + 2)
Find r such that 2*r**5/11 - 32*r**4/11 - 36*r**3/11 + 32*r**2/11 + 34*r/11 = 0.
-1, 0, 1, 17
Determine t, given that 27*t**4 + 669*t**3 + 498*t**2 - 144*t = 0.
-24, -1, 0, 2/9
Factor -2*c**2/3 + 112*c/3 - 520.
-2*(c - 30)*(c - 26)/3
Determine l, given that 3*l**4/7 - 6*l**2/7 + 3/7 = 0.
-1, 1
Determine d, given that -5*d**4 + 40*d**3 + 325*d**2 = 0.
-5, 0, 13
Solve -2*f**2/3 + 244*f/3 + 336 = 0.
-4, 126
Solve -3*x**4/4 + 6*x**3 + 57*x**2/4 + 15*x/2 = 0.
-1, 0, 10
Factor 3*y**4 - 24*y**3 - 27*y**2.
3*y**2*(y - 9)*(y + 1)
Determine d, given that 2*d**5 + 188*d**4 + 1248*d**3 + 2628*d**2 + 1566*d = 0.
-87, -3, -1, 0
Factor s**4/8 + s**3/8 - 27*s**2/8 + 27*s/8 + 27/4.
(s - 3)**2*(s + 1)*(s + 6)/8
Let 5*m**3 - 770*m**2 + 765*m = 0. Calculate m.
0, 1, 153
What is j in -1575*j**5 - 390*j**4 + 1535*j**3 + 610*j**2 - 140*j - 40 = 0?
-2/3, -1/5, 2/7, 1
Determine y, given that -y**5/11 - 2*y**4 + 28*y**3/11 + 118*y*