Factor -173*l**2 - 2*l.
-l*(173*l + 2)
Find x, given that -3*x**3/5 + 3*x**2/5 = 0.
0, 1
Factor -h**3/6 - 25*h**2/3 - 625*h/6.
-h*(h + 25)**2/6
Factor -b**4/5 + 4*b**3/5 - b**2 + 2*b/5.
-b*(b - 2)*(b - 1)**2/5
Determine p, given that p**2 - 34*p + 64 = 0.
2, 32
Let -r**2/6 + 7*r - 40/3 = 0. Calculate r.
2, 40
Factor 5*r**5 - 45*r**4 + 75*r**3 - 35*r**2.
5*r**2*(r - 7)*(r - 1)**2
Let 2*t**3/7 + 498*t**2/7 + 32208*t/7 + 148840/7 = 0. Calculate t.
-122, -5
Solve -2*h**5/13 + 42*h**4/13 + 554*h**3/13 + 1974*h**2/13 + 2232*h/13 = 0 for h.
-4, -3, 0, 31
Find m such that -4*m**3 + 96*m**2 + 100*m = 0.
-1, 0, 25
Solve -f**2/2 + 6*f - 18 = 0 for f.
6
Factor 3*f**3/5 + 324*f**2/5 - 327*f/5.
3*f*(f - 1)*(f + 109)/5
Solve z**2/4 - 115*z/2 = 0.
0, 230
Solve 3*x**5/7 + 69*x**4/7 + 333*x**3/7 + 459*x**2/7 = 0 for x.
-17, -3, 0
What is p in -150*p**5 + 21020*p**4 - 737744*p**3 + 90144*p**2 + 276640*p - 78400 = 0?
-2/3, 2/5, 70
Factor 2*q**3 + q**2 - 2*q - 1.
(q - 1)*(q + 1)*(2*q + 1)
Solve 6*g**2 - 1736*g + 578 = 0 for g.
1/3, 289
Solve -3*l**3/5 + 24*l**2/5 - 9*l = 0 for l.
0, 3, 5
Find z, given that 9*z**3 - 672*z**2 + 1101*z - 438 = 0.
2/3, 1, 73
Factor 5*n**4 - 105*n**3 + 435*n**2 + 1925*n - 7260.
5*(n - 11)**2*(n - 3)*(n + 4)
Find s such that s**3/2 + s**2 - 5*s/2 - 3 = 0.
-3, -1, 2
Factor -3*m**5 + 204*m**4 - 3666*m**3 + 6732*m**2 - 3267*m.
-3*m*(m - 33)**2*(m - 1)**2
Suppose c**2 + 316*c + 24964 = 0. Calculate c.
-158
Let -v**2/3 + 59*v/3 - 56 = 0. What is v?
3, 56
What is z in -15*z**5 - 10*z**4 + 140*z**3 + 90*z**2 - 45*z = 0?
-3, -1, 0, 1/3, 3
Factor -j**3/2 + 24*j**2 - 179*j/2 + 66.
-(j - 44)*(j - 3)*(j - 1)/2
Factor -4*i**3/7 - 4*i**2 - 32*i/7 + 64/7.
-4*(i - 1)*(i + 4)**2/7
Suppose 5*i**2/4 + 60*i - 765/4 = 0. What is i?
-51, 3
Let o**3 - 112*o**2 - 231*o + 342 = 0. What is o?
-3, 1, 114
Find b, given that -2*b**4 + 102*b**3 - 196*b**2 = 0.
0, 2, 49
Factor -2*b**2 + 18*b.
-2*b*(b - 9)
Factor 2*m**2/7 - 118*m/7 + 116/7.
2*(m - 58)*(m - 1)/7
What is i in i**5 + 20*i**4/3 + 3*i**3 - 20*i**2/3 - 4*i = 0?
-6, -1, -2/3, 0, 1
Suppose -5*s**2 + 215*s + 1750 = 0. Calculate s.
-7, 50
Let -5*g**5 - 60*g**4 + 135*g**3 - 70*g**2 = 0. Calculate g.
-14, 0, 1
Determine d, given that -4*d**5/5 - 18*d**4/5 + 302*d**3/5 + 162*d**2/5 - 154*d/5 = 0.
-11, -1, 0, 1/2, 7
Solve -3*s**2/8 - 2703*s/2 - 2435403/2 = 0.
-1802
Determine w so that -w**2 - 62*w + 195 = 0.
-65, 3
Factor 2*n**3/17 - 192*n**2/17 + 282*n - 8836/17.
2*(n - 47)**2*(n - 2)/17
Factor t**3/3 + t**2/3 - 626*t/3 + 208.
(t - 24)*(t - 1)*(t + 26)/3
Solve -4*q**5/3 - 37*q**4 - 932*q**3/3 - 688*q**2 + 192*q = 0.
-12, -4, 0, 1/4
Factor -2*g**5/5 + 26*g**4/5 - 116*g**3/5 + 212*g**2/5 - 34*g + 10.
-2*(g - 5)**2*(g - 1)**3/5
Factor 2*h**5 - 232*h**4 + 8892*h**3 - 109512*h**2 - 118638*h.
2*h*(h - 39)**3*(h + 1)
Let -5*n**2/4 - 1610*n - 518420 = 0. What is n?
-644
Factor 4*j**2 + 20*j - 336.
4*(j - 7)*(j + 12)
Factor -4*j**3 + 20*j**2 + 32*j - 192.
-4*(j - 4)**2*(j + 3)
Factor -b**5/3 + 23*b**4/3 + 50*b**3/3.
-b**3*(b - 25)*(b + 2)/3
Let n**2/7 - 1958*n/7 + 958441/7 = 0. Calculate n.
979
Solve -25*t**4 + 65*t**3 + 295*t**2 + 55*t - 150 = 0.
-2, -1, 3/5, 5
Factor -2*n**2/5 - 7*n/5 + 4/5.
-(n + 4)*(2*n - 1)/5
Let 3*q**3 + 51*q**2 + 273*q + 441 = 0. Calculate q.
-7, -3
Find v, given that 13*v**2 + 19*v + 6 = 0.
-1, -6/13
Factor 2*g**4/3 - 8*g**3/3 - 38*g**2/3 - 28*g/3.
2*g*(g - 7)*(g + 1)*(g + 2)/3
Factor -5*x**3 - 160*x**2 + 700*x - 720.
-5*(x - 2)**2*(x + 36)
Let -5*z**5 - 55*z**4 - 165*z**3 - 185*z**2 - 70*z = 0. What is z?
-7, -2, -1, 0
Determine k, given that -3*k**4 + 24*k**3 - 72*k**2 + 96*k - 48 = 0.
2
Factor 60*f**3 - 175*f**2 - 15*f.
5*f*(f - 3)*(12*f + 1)
Suppose 2*v**2 - 244*v = 0. What is v?
0, 122
Factor x**3/6 - 5*x**2/3 + 16*x/3 - 16/3.
(x - 4)**2*(x - 2)/6
Factor u**2/4 - 23*u/2 + 529/4.
(u - 23)**2/4
Let -10*n**3 - 76*n**2 + 122*n - 36 = 0. Calculate n.
-9, 2/5, 1
Factor -3*c**2 + 321*c + 324.
-3*(c - 108)*(c + 1)
Find u, given that u**3 + 57*u**2 + 1083*u + 6859 = 0.
-19
Suppose 2*q**2 + 12*q - 782 = 0. What is q?
-23, 17
Factor 3*q**2/7 - 9*q/7 - 1380/7.
3*(q - 23)*(q + 20)/7
What is b in 90*b**4 + 106*b**3 - 172*b**2 - 40*b + 16 = 0?
-2, -2/5, 2/9, 1
Determine c, given that 5*c**2/8 - c/2 - 1/8 = 0.
-1/5, 1
Factor -4*l**5/3 - 8*l**4/3 + 8*l**2/3 + 4*l/3.
-4*l*(l - 1)*(l + 1)**3/3
Find q, given that -q**3 + 75*q**2 - 1863*q + 15309 = 0.
21, 27
Factor j**4 + 20*j**3 + 150*j**2 + 500*j + 625.
(j + 5)**4
Solve 8*y**5/3 + 70*y**4/3 - 38*y**3 - 136*y**2/3 + 40*y/3 = 0 for y.
-10, -1, 0, 1/4, 2
What is y in 6*y**5 + 50*y**4 + 48*y**3 - 56*y**2 = 0?
-7, -2, 0, 2/3
Factor 2*y**2/3 - 1532*y/3 - 1534/3.
2*(y - 767)*(y + 1)/3
Factor -25*l**3/2 - 30*l**2 - 17*l/2 + 3.
-(l + 2)*(5*l - 1)*(5*l + 3)/2
Suppose 3*n**2 + 879*n - 1770 = 0. Calculate n.
-295, 2
Let 2*s**3 - 2*s**2 - 2*s + 2 = 0. Calculate s.
-1, 1
Suppose 2*a**5/5 - 256*a**4/5 = 0. What is a?
0, 128
What is n in -4*n**3/7 - 8*n**2 - 128*n/7 + 512/7 = 0?
-8, 2
Let 36*d**2 - 1140*d + 9025 = 0. What is d?
95/6
Find b, given that -5*b**4 - 3495*b**3 + 3505*b**2 + 3495*b - 3500 = 0.
-700, -1, 1
Factor -3*z**4 + 174*z**3 + 177*z**2.
-3*z**2*(z - 59)*(z + 1)
Factor t**3/2 + 31*t**2/8 - 1189*t/8 + 715/4.
(t - 13)*(t + 22)*(4*t - 5)/8
What is p in -3*p**2 + 540*p + 8775 = 0?
-15, 195
Solve 25*t**3 + 610*t**2 + 2615*t + 950 = 0 for t.
-19, -5, -2/5
Factor -h**4/2 + 2*h**3 - 2*h**2.
-h**2*(h - 2)**2/2
Suppose 2*p**2/7 - 620*p/7 + 176 = 0. Calculate p.
2, 308
Find w, given that -12*w**3 + 105*w**2 - 264*w + 144 = 0.
3/4, 4
Factor -4*c**3 + 3096*c**2 - 798768*c + 68694048.
-4*(c - 258)**3
Factor 4*p**3 - 3716*p**2 + 857440*p + 2605872.
4*(p - 466)**2*(p + 3)
Factor z**2 + 9*z - 90.
(z - 6)*(z + 15)
Factor j**5 - 7*j**4 + 10*j**3 + 2*j**2 - 11*j + 5.
(j - 5)*(j - 1)**3*(j + 1)
Factor 4*g**3/3 + 8*g**2 - 28*g/3.
4*g*(g - 1)*(g + 7)/3
Determine b, given that -2*b**3/7 - 1807*b**2/7 - 902*b/7 + 129 = 0.
-903, -1, 1/2
Let 3*f**3 - 120*f**2 + 117*f = 0. What is f?
0, 1, 39
Factor -2*b**4/7 - 474*b**3/7 + 1440*b**2/7.
-2*b**2*(b - 3)*(b + 240)/7
Factor q**3/10 + 3*q**2/2 + 19*q/5 - 72/5.
(q - 2)*(q + 8)*(q + 9)/10
Factor -2*z**2/5 + 8*z/5 + 64/5.
-2*(z - 8)*(z + 4)/5
Determine c so that 845*c**3 - 3120*c**2 - 1020*c - 80 = 0.
-2/13, 4
Factor 2*w**4/5 - 12*w**3/5 - 86*w**2/5 + 120*w - 504/5.
2*(w - 6)**2*(w - 1)*(w + 7)/5
Suppose -5*c**2 - 825*c = 0. What is c?
-165, 0
Solve -2*r**2/7 - 196*r + 1374/7 = 0.
-687, 1
Factor 2*y**4/9 + 370*y**3/9.
2*y**3*(y + 185)/9
Find a, given that -3*a**4 - 3*a**3 + 9*a**2 + 3*a - 6 = 0.
-2, -1, 1
Let -o**5 + 3*o**4 + 5*o**3 - 27*o**2 + 32*o - 12 = 0. What is o?
-3, 1, 2
Solve -2*i**2/13 + 308*i/13 - 608/13 = 0.
2, 152
Determine p, given that 4*p**4/5 - 228*p**3/5 + 436*p**2/5 + 228*p/5 - 88 = 0.
-1, 1, 2, 55
Factor 2*j**3 + 920*j**2/3 + 34958*j/3 - 23716/3.
2*(j + 77)**2*(3*j - 2)/3
Factor 4*q**3 - 68*q**2 + 288*q.
4*q*(q - 9)*(q - 8)
Determine w so that -2*w**2/9 + 112*w/9 - 416/9 = 0.
4, 52
Let 3*f**5/7 + 12*f**4/7 + 6*f**3/7 - 12*f**2/7 - 9*f/7 = 0. Calculate f.
-3, -1, 0, 1
Let 2*z**5 - 4*z**4 - 10*z**3 + 20*z**2 + 8*z - 16 = 0. Calculate z.
-2, -1, 1, 2
Factor 5*w**2 - 5*w - 150.
5*(w - 6)*(w + 5)
Determine d so that -5*d**2 - 80*d - 75 = 0.
-15, -1
Determine i so that 3*i**3 - 267*i**2 + 5805*i + 6075 = 0.
-1, 45
Factor -o**4 - 30*o**3 + 36*o**2 + 158*o + 93.
-(o - 3)*(o + 1)**2*(o + 31)
Factor -q**2/5 + 2*q - 9/5.
-(q - 9)*(q - 1)/5
Solve -2*t**4 + 48*t**3 + 218*t**2 + 168*t = 0 for t.
-3, -1, 0, 28
Determine p so that -2*p**3/13 + 310*p**2/13 + 944*p/13 + 632/13 = 0.
-2, -1, 158
Factor 2*y**4/5 + 12*y**3/5 + 2*y**2.
2*y**2*(y + 1)*(y + 5)/5
Factor -12*d**5 + 16*d**4 + 68*d**3 + 40*d**2.
-4*d**2*(d + 1)**2*(3*d - 10)
Factor 2*m**5 + 720*m**4 + 87802*m**3 + 3790868*m**2 + 20134104*m + 16430320.
2*(m + 1)*(m + 5)*(m + 118)**3
Let -2*p**5/5 - 12*p**4/5 - 24*p**3/5 - 16*p**2/5 = 0. What is p?
-2, 0
Factor 28*q**3/3 - 524*q**2/3 - 152*q/3.
4*q*(q - 19)*(7*q + 2)/3
Factor 2*o**5/11 + 26*o**4/11 + 116*o**3/11 + 212*o**2/11 + 170*o/11 + 50/11.
2*(o + 1)**3*(o + 5)**2/11
Factor -2*g**2 - 488*g - 29768.
-2*(g + 122)**2
Factor 4*o**2 + 288*o + 5184.
4*(o + 36)**2
Solve -4*x**3/5 - 8*x**2 + 108*x/5 + 144/5 = 0.
-12, -1, 3
Factor 5*n**2 - 