-3, 1, 9
Determine s so that -s**4/9 - 16*s**3/9 - 62*s**2/9 - 80*s/9 - 11/3 = 0.
-11, -3, -1
Let -2734*r**2/5 + 4*r/5 = 0. Calculate r.
0, 2/1367
Suppose -81*h**5/5 + 126*h**4/5 + 68*h**3/5 + 8*h**2/5 = 0. Calculate h.
-2/9, 0, 2
Determine c, given that -4*c**2 + 96*c - 92 = 0.
1, 23
Suppose 3*t**4 + 39*t**3 - 939*t**2 - 975*t = 0. Calculate t.
-25, -1, 0, 13
Solve 2*i**3/11 - 60*i**2/11 - 6*i + 124/11 = 0.
-2, 1, 31
Let -12*l**5 + 39*l**4 + 99*l**3 + 33*l**2 - 15*l = 0. Calculate l.
-1, 0, 1/4, 5
Suppose -2*d**4/3 + 314*d**3/15 - 788*d**2/5 - 1664*d/15 + 1024/15 = 0. Calculate d.
-1, 2/5, 16
Factor 2*t**3/3 - 4*t**2/3 - 2*t.
2*t*(t - 3)*(t + 1)/3
Factor a**4 - 11*a**3/10 + a**2/10.
a**2*(a - 1)*(10*a - 1)/10
Factor 4*m**4 + 28*m**3 - 328*m**2 + 848*m - 672.
4*(m - 3)*(m - 2)**2*(m + 14)
Find d, given that -3*d**5/2 - 30*d**4 - 159*d**3/2 - 51*d**2 = 0.
-17, -2, -1, 0
Factor -s**3 + 28*s**2 - 53*s + 26.
-(s - 26)*(s - 1)**2
Let 3*o**4/8 - 27*o**3/8 + 81*o**2/8 - 81*o/8 = 0. What is o?
0, 3
Let -5*v**2 - 2690*v - 361805 = 0. What is v?
-269
Find w, given that 5*w**3 + 85*w**2 - 230*w - 760 = 0.
-19, -2, 4
Factor 2*n**2/3 - 98*n/3.
2*n*(n - 49)/3
Let p**2 + 75*p = 0. What is p?
-75, 0
Determine r so that -5*r**4/2 + 35*r**3/2 - 25*r**2 = 0.
0, 2, 5
Factor 5*n**2/3 - 5*n - 20/3.
5*(n - 4)*(n + 1)/3
Factor -2*f**2/5 - 26*f/5 + 12.
-2*(f - 2)*(f + 15)/5
Factor 294*w**2/11 + 56*w/11 - 8/11.
2*(7*w + 2)*(21*w - 2)/11
Factor -8*c**3/9 - 110*c**2/9 - 196*c/9 - 94/9.
-2*(c + 1)**2*(4*c + 47)/9
Factor -22*i**2/5 + 48*i/5.
-2*i*(11*i - 24)/5
Factor -4*r**3 - 144*r**2 + 988*r - 840.
-4*(r - 5)*(r - 1)*(r + 42)
Solve -3*f**2/4 + 1563*f/4 = 0 for f.
0, 521
Factor -2*j**2/5 - 104*j/5 - 294/5.
-2*(j + 3)*(j + 49)/5
Factor -3*m**4/2 - 249*m**3/2.
-3*m**3*(m + 83)/2
Determine v so that 2*v**5 + 8*v**4 + 2*v**3 - 28*v**2 - 40*v - 16 = 0.
-2, -1, 2
Factor 15*y**2 + 6320*y/3 + 2800/3.
5*(y + 140)*(9*y + 4)/3
Factor -4*c**2 + 188*c - 360.
-4*(c - 45)*(c - 2)
Suppose 4*l**4 + 80*l**3 + 276*l**2 - 360*l = 0. What is l?
-15, -6, 0, 1
Find r such that -4*r**2 + 120*r = 0.
0, 30
Find g, given that -4*g**5 + 8*g**4 + 24*g**3 - 16*g**2 - 52*g - 24 = 0.
-1, 2, 3
What is b in b**4/4 - 17*b**3/4 + 12*b**2 + 17*b - 52 = 0?
-2, 2, 4, 13
Let o**2/3 - 38*o + 1083 = 0. Calculate o.
57
Solve -2*h**3/23 - 86*h**2/23 - 318*h/23 - 234/23 = 0 for h.
-39, -3, -1
Factor -y**2/8 - 250*y.
-y*(y + 2000)/8
Suppose 2*z**3/7 + 38*z**2/7 + 32*z + 384/7 = 0. What is z?
-8, -3
Solve -4*p**5 - 1152*p**4 - 21840*p**3 - 107200*p**2 = 0.
-268, -10, 0
Find c such that -4*c**4 + 48*c**3 - 36*c**2 - 88*c = 0.
-1, 0, 2, 11
Factor 2*a**4 - 10*a**3 - 14*a**2 + 10*a + 12.
2*(a - 6)*(a - 1)*(a + 1)**2
Factor 4*d**4 + 48*d**3 + 164*d**2 + 120*d.
4*d*(d + 1)*(d + 5)*(d + 6)
Factor 2*o**3/11 + 6*o**2/11 - 8*o/11.
2*o*(o - 1)*(o + 4)/11
Suppose 3*l**5/5 + 46*l**4/5 + 202*l**3/5 + 36*l**2 - 77*l/5 - 98/5 = 0. What is l?
-7, -1, 2/3
Factor -4*v**3 + 180*v**2 - 2400*v + 10000.
-4*(v - 25)*(v - 10)**2
Factor 2*m**5 - 6*m**4 - 30*m**3 - 34*m**2 - 12*m.
2*m*(m - 6)*(m + 1)**3
Factor -t**4/3 - 56*t**3/3 - 1078*t**2/3 - 2744*t - 7203.
-(t + 7)**2*(t + 21)**2/3
Factor -p**3/2 - 25*p**2/2 + 13*p.
-p*(p - 1)*(p + 26)/2
Factor -l**2 + 107*l + 1428.
-(l - 119)*(l + 12)
Let 6400*j**2 + 320*j + 4 = 0. What is j?
-1/40
Factor s**2 + 227*s + 226.
(s + 1)*(s + 226)
Suppose -2*f**2/11 + 8*f/11 + 10/11 = 0. Calculate f.
-1, 5
Suppose 7*c**4/9 + 71*c**3/9 + 59*c**2/9 - 119*c/9 - 2 = 0. Calculate c.
-9, -2, -1/7, 1
Factor -8*i**3 - 534*i**2 + 678*i - 136.
-2*(i - 1)*(i + 68)*(4*i - 1)
Factor -o**2/2 + 118*o - 1155/2.
-(o - 231)*(o - 5)/2
Factor -s**2/5 + 1127*s/5 - 1126/5.
-(s - 1126)*(s - 1)/5
Factor 45*l**3 + 55*l**2 - 80*l - 20.
5*(l - 1)*(l + 2)*(9*l + 2)
Suppose 9*z**5/4 + 317*z**4/4 + 2959*z**3/4 + 2631*z**2/4 - 1190*z - 289 = 0. Calculate z.
-17, -2, -2/9, 1
What is t in -2888*t**3 + 1824*t**2 + 966*t + 98 = 0?
-7/38, 1
Factor 2*b**3 + 193*b**2 - 293*b + 98.
(b - 1)*(b + 98)*(2*b - 1)
Let 10*t**3 + 86*t**2 + 208*t + 96 = 0. Calculate t.
-4, -3/5
Find v, given that -4225*v**5/2 + 3835*v**4 + 1282*v**3 - 956*v**2 - 128*v + 64 = 0.
-2/5, 4/13, 2
Factor 3*c**4/8 - 429*c**3/8 + 1890*c**2 + 1944*c.
3*c*(c - 72)**2*(c + 1)/8
Solve b**3 + 2*b**2 - 48*b = 0.
-8, 0, 6
Factor 10*j**3/7 - 54*j**2/7 + 60*j/7 - 16/7.
2*(j - 4)*(j - 1)*(5*j - 2)/7
Let 1171875*f**4/4 - 14343750*f**3 + 263351250*f**2 - 2148946200*f + 6575775372 = 0. What is f?
306/25
Find x, given that -2*x**5 - 394*x**4 - 17468*x**3 + 199636*x**2 + 450110*x + 233398 = 0.
-103, -1, 11
What is t in -28*t**4 - 512*t**3 - 2384*t**2 - 3328*t - 768 = 0?
-12, -4, -2, -2/7
Factor 5*c**3 + 1975*c**2 + 5880*c.
5*c*(c + 3)*(c + 392)
Determine d, given that -2*d**5 - 109*d**4/3 - 121*d**3/3 - 34*d**2/3 = 0.
-17, -2/3, -1/2, 0
Factor 12*g**2/5 + 1016*g/5 + 672/5.
4*(g + 84)*(3*g + 2)/5
Factor -w**5/3 + 911*w**4/3 + 7328*w**3/3 + 22024*w**2/3 + 29392*w/3 + 14704/3.
-(w - 919)*(w + 2)**4/3
Suppose 2*i**2 - 140*i + 2450 = 0. Calculate i.
35
Determine l so that 2*l**5/3 - 3*l**4 + 4*l**3/3 = 0.
0, 1/2, 4
Let 2*x**5 - 14*x**4 + 30*x**3 - 10*x**2 - 32*x + 24 = 0. Calculate x.
-1, 1, 2, 3
Factor -2025*p**3 - 77130*p**2 - 6844*p - 152.
-(p + 38)*(45*p + 2)**2
Let 2*s**3/17 - 2756*s**2/17 + 949442*s/17 = 0. What is s?
0, 689
Factor 4*a**5 - 332*a**4 + 9072*a**3 - 78400*a**2 - 87808*a.
4*a*(a - 28)**3*(a + 1)
Find x, given that 5*x**5 - 5*x**4 - 15*x**3 + 5*x**2 + 10*x = 0.
-1, 0, 1, 2
Solve -2*m**2 - m/2 + 3/2 = 0 for m.
-1, 3/4
Factor 2*q**4/3 + q**3 - 6*q**2 + 8*q/3.
q*(q - 2)*(q + 4)*(2*q - 1)/3
Suppose -5*m**4 - 95*m**3 - 545*m**2 - 1245*m - 990 = 0. What is m?
-11, -3, -2
Factor 3*c**3 - 513*c**2 + 22680*c - 63504.
3*(c - 84)**2*(c - 3)
Find q, given that 2*q**2/9 + 14*q = 0.
-63, 0
Factor r**2 - 243*r + 1190.
(r - 238)*(r - 5)
Determine j, given that -2*j**2/7 - 64*j/7 + 1056/7 = 0.
-44, 12
What is u in -u**4/7 + 32*u**3/7 - 318*u**2/7 + 160*u - 119 = 0?
1, 7, 17
Determine m so that 95*m**3 - 465*m**2 - 1380*m - 140 = 0.
-2, -2/19, 7
Factor 5*o**3 + 430*o**2 + 11520*o + 90720.
5*(o + 14)*(o + 36)**2
Suppose -3*v**4 + 273*v**3 + 39*v**2 - 3513*v - 3276 = 0. What is v?
-3, -1, 4, 91
Find u, given that 2*u**4/3 - 46*u**3/3 + 14*u**2 + 46*u/3 - 44/3 = 0.
-1, 1, 22
What is m in m**2 + 238*m + 14161 = 0?
-119
Solve 5*k**5 + 10*k**4 - 10*k**2 - 5*k = 0 for k.
-1, 0, 1
Suppose -3*q**5 + 3*q**4 + 72*q**3 + 108*q**2 = 0. What is q?
-3, -2, 0, 6
Solve 15*c**5 - 20*c**4 - 60*c**3 + 70*c**2 + 45*c - 50 = 0.
-5/3, -1, 1, 2
Determine c, given that 15*c**3 - 39*c**2 - 18*c = 0.
-2/5, 0, 3
Find h such that 2*h**5/9 - 10*h**4/9 - 10*h**3/9 + 10*h**2 - 8*h = 0.
-3, 0, 1, 3, 4
Factor -2*p**2/3 - 68*p/3 - 290/3.
-2*(p + 5)*(p + 29)/3
Factor w**5/6 - w**3/2 + w**2/3.
w**2*(w - 1)**2*(w + 2)/6
Find y such that y**2 - 449*y = 0.
0, 449
Determine p, given that 2*p**3 + 20*p**2 + 58*p + 40 = 0.
-5, -4, -1
Determine y so that 2*y**4/13 - 48*y**3/13 + 236*y**2/13 + 48*y + 26 = 0.
-1, 13
Find c, given that 3*c**5 + 15*c**4 + 15*c**3 - 15*c**2 - 18*c = 0.
-3, -2, -1, 0, 1
Factor 2*t**2 + 264*t + 8712.
2*(t + 66)**2
Find j, given that 2*j**2/15 + 1122*j/5 - 3368/15 = 0.
-1684, 1
Find j, given that 2*j**3 - 74*j**2/11 + 24*j/11 = 0.
0, 4/11, 3
Determine u so that u**2/2 + u/2 = 0.
-1, 0
Factor -3*l**2/2 + 18*l - 54.
-3*(l - 6)**2/2
Solve 5*i**4 - 15*i**3 - 170*i**2 - 240*i = 0.
-3, -2, 0, 8
Solve -4*l**5 + 22*l**4 + 78*l**3 + 20*l**2 - 32*l = 0.
-2, -1, 0, 1/2, 8
Determine b so that 2*b**4/7 - 10*b**3/7 - 2*b**2/7 + 10*b/7 = 0.
-1, 0, 1, 5
Factor 2*q**2/3 - 8156*q/3 + 8315042/3.
2*(q - 2039)**2/3
Find t, given that 5*t**3/3 + 230*t**2 - 1400*t/3 = 0.
-140, 0, 2
Solve -5*f**2/6 - 155*f/3 - 700 = 0.
-42, -20
Factor -d**4 - 470*d**3 - 55693*d**2 - 109980*d - 54756.
-(d + 1)**2*(d + 234)**2
Find b, given that -2*b**3/11 - 148*b**2/11 - 310*b - 23064/11 = 0.
-31, -12
Find c such that c**4 + 16*c**3 + 87*c**2 + 184*c + 112 = 0.
-7, -4, -1
Find a, given that -314*a**3/5 - 252*a**2 - 1272*a/5 - 16/5 = 0.
-2, -2/157
Factor 2*p**4 + 4*p**3 - 10*p**2 - 12*p.
2*p*(p - 2)*(p + 1)*(p + 3)
Find k, given that k**4/8 + 69*k**3/8 + 17*k**2/2 = 0.
-68, -1, 0
Factor r**3 + 86*r**2 + 1632*r + 8928.
(r + 12)**2*(r + 62)
Determine x, given