4*s - 2412.
-2*(s - 201)*(s - 6)
Let -5*r**2 + 80*r - 75 = 0. Calculate r.
1, 15
Let -o**4 + 10*o**3 - 8*o**2 - 10*o + 9 = 0. What is o?
-1, 1, 9
Find u such that -2*u**4/5 + 4*u**3/5 + 26*u**2/5 + 4*u = 0.
-2, -1, 0, 5
Factor -u**4 + 2*u**3 + 4*u**2 - 2*u - 3.
-(u - 3)*(u - 1)*(u + 1)**2
Solve -54*h**5 - 276*h**4 + 298*h**3 + 56*h**2 - 24*h = 0 for h.
-6, -1/3, 0, 2/9, 1
Factor 3*r**2/5 - 1806*r/5 + 271803/5.
3*(r - 301)**2/5
Factor -q**4 + 479*q**3 - 230397*q**2/4 + 114481*q/2 - 57121/4.
-(q - 239)**2*(2*q - 1)**2/4
Factor -2*r**2/9 + 64*r/9 - 104/3.
-2*(r - 26)*(r - 6)/9
Suppose o**2/5 - 629*o/5 - 126 = 0. Calculate o.
-1, 630
Factor -2*c**4/5 - 14*c**3/5 - 4*c**2.
-2*c**2*(c + 2)*(c + 5)/5
Let -4*n**3 - 128*n**2 - 644*n - 520 = 0. What is n?
-26, -5, -1
Factor 3*r**5 + 132*r**4/7 + 201*r**3/7 + 90*r**2/7.
3*r**2*(r + 1)**2*(7*r + 30)/7
Let 3*z**5/5 - 519*z**4/5 - 2112*z**3/5 - 2124*z**2/5 = 0. What is z?
-2, 0, 177
Solve 2*a**4 + 80*a**3 + 408*a**2 - 8064*a + 13824 = 0 for a.
-24, 2, 6
Factor -b**3/2 - 169*b**2/2 - 3440*b + 11094.
-(b - 3)*(b + 86)**2/2
What is w in 3*w**3/7 + 60*w**2/7 + 111*w/7 + 54/7 = 0?
-18, -1
Solve -2*w**2/7 + 1756*w/7 - 385442/7 = 0.
439
Determine w, given that -w**2/6 + 2569*w/3 - 6599761/6 = 0.
2569
Factor n**2/6 - 41*n/6 - 43/3.
(n - 43)*(n + 2)/6
Let -o**4/4 + o**3/4 + 11*o**2/2 - 4*o - 24 = 0. Calculate o.
-4, -2, 3, 4
What is v in -4*v**5 + 108*v**4 - 296*v**3 + 192*v**2 = 0?
0, 1, 2, 24
Let 5*a**2/4 + 15*a/2 - 935/4 = 0. What is a?
-17, 11
Solve -12*g**5 + 116*g**4/3 - 20*g**3 - 100*g**2/3 + 32*g - 16/3 = 0 for g.
-1, 2/9, 1, 2
Factor 3*c**2/8 - 675*c/2 + 151875/2.
3*(c - 450)**2/8
Find n, given that n**5 + 40*n**4 + 400*n**3 = 0.
-20, 0
Factor -4*y**3 - 232*y**2 + 1284*y + 1512.
-4*(y - 6)*(y + 1)*(y + 63)
Let 12*v**5/17 - 38*v**4/17 - 6*v**3/17 + 38*v**2/17 - 6*v/17 = 0. What is v?
-1, 0, 1/6, 1, 3
Factor -z**2/2 + 13*z/4 - 3/2.
-(z - 6)*(2*z - 1)/4
Determine s so that -s**5/3 + 76*s**4/3 + 835*s**3/3 + 2150*s**2/3 = 0.
-5, 0, 86
What is k in 5*k**5 - 120*k**4 + 600*k**3 + 1120*k**2 - 6960*k - 11520 = 0?
-2, 6, 16
Factor 5*z**2/9 - 667*z/9 + 266/9.
(z - 133)*(5*z - 2)/9
Suppose 2*r**5 + 24*r**4/7 - 50*r**3/7 + 12*r**2/7 = 0. What is r?
-3, 0, 2/7, 1
Find w, given that -4*w**3 - 72*w**2 + 324*w + 1512 = 0.
-21, -3, 6
Factor -2*g**2/7 + 20*g/7 + 192/7.
-2*(g - 16)*(g + 6)/7
Find w, given that -4*w**5 - 6*w**4 + 226*w**3 + 118*w**2 - 222*w - 112 = 0.
-8, -1, -1/2, 1, 7
What is l in -2*l**2/7 + 24*l = 0?
0, 84
Factor k**2/5 + 1229*k/5 + 2454/5.
(k + 2)*(k + 1227)/5
Determine o so that -5*o**5 + 65*o**4 - 295*o**3 + 475*o**2 + 120*o - 720 = 0.
-1, 3, 4
Find u, given that 3*u**4 + 12*u**3 - 63*u**2 + 12*u + 84 = 0.
-7, -1, 2
Factor h**4/5 + 46*h**3/5 + 144*h**2 + 4736*h/5 + 11264/5.
(h + 8)**3*(h + 22)/5
Factor -t**5/9 - 4*t**4/3 - 16*t**3/3 - 64*t**2/9.
-t**2*(t + 4)**3/9
Determine r so that -r**4/3 - 5*r**3/3 + 7*r**2/3 + 5*r/3 - 2 = 0.
-6, -1, 1
Factor -2*t**2/9 + 4*t/9 + 14.
-2*(t - 9)*(t + 7)/9
Suppose -3*y**2/4 + 99*y/4 = 0. Calculate y.
0, 33
Factor -h**4/3 + 97*h**3/3 - 1056*h**2 + 35840*h/3 - 32768/3.
-(h - 32)**3*(h - 1)/3
Factor 5*m**3 - 60*m - 80.
5*(m - 4)*(m + 2)**2
Solve 73307844*q**2/5 + 68496*q/5 + 16/5 = 0.
-2/4281
Let -z**3/2 + 2*z**2 + z/2 - 2 = 0. What is z?
-1, 1, 4
Factor 2*s**4/5 + 32*s**3/5 + 118*s**2/5 + 88*s/5.
2*s*(s + 1)*(s + 4)*(s + 11)/5
Factor -7*m**4/5 - 4*m**3/5 + 17*m**2/5 - 6*m/5.
-m*(m - 1)*(m + 2)*(7*m - 3)/5
Suppose 72*a**3/11 + 624*a**2/11 + 986*a/11 - 1682/11 = 0. What is a?
-29/6, 1
Factor a**5 + 47*a**4 + 655*a**3 + 2373*a**2 + 1764*a.
a*(a + 1)*(a + 4)*(a + 21)**2
Factor -j**5 + 117*j**4 - 4562*j**3 + 59202*j**2 + 4563*j - 59319.
-(j - 39)**3*(j - 1)*(j + 1)
Suppose 3*c**4 + 6*c**3 - 189*c**2 - 384*c - 192 = 0. What is c?
-8, -1, 8
Factor -l**2 + 13*l + 90.
-(l - 18)*(l + 5)
Factor -4*v**2 - 4*v + 168.
-4*(v - 6)*(v + 7)
Suppose -4*m**3 + 260*m**2 - 3808*m - 13872 = 0. Calculate m.
-3, 34
Factor -c**4/4 + 9*c**2/2 + 8*c + 15/4.
-(c - 5)*(c + 1)**2*(c + 3)/4
Factor 4*t**4 + 4*t**3 - 40*t**2 + 32*t.
4*t*(t - 2)*(t - 1)*(t + 4)
What is z in 6*z**2/7 + 248*z/7 + 82/7 = 0?
-41, -1/3
Suppose 3*x**4 + 270*x**3 + 6564*x**2 + 20898*x - 27735 = 0. What is x?
-43, -5, 1
Determine r, given that -6*r**3 + 22*r**2 - 24*r + 8 = 0.
2/3, 1, 2
Factor -f**2/2 + 1661*f - 3321/2.
-(f - 3321)*(f - 1)/2
Find q such that -4*q**3 + 12*q**2 + 4*q - 12 = 0.
-1, 1, 3
Factor -3*u**4 - 6*u**3.
-3*u**3*(u + 2)
Solve -5*g**2 - 1455*g + 2930 = 0.
-293, 2
Let 6*p**5 + 69*p**4 - 13173*p**3/8 - 166623*p**2/8 - 10101*p - 2499/2 = 0. What is p?
-14, -1/4, 17
Factor h**3 + 339*h**2 - 1026*h.
h*(h - 3)*(h + 342)
Determine u, given that -2*u**2/5 + 34*u - 160 = 0.
5, 80
Factor -2*q**2/3 - 1518*q - 4552/3.
-2*(q + 1)*(q + 2276)/3
Let -4*k**4/5 + 415*k**3 - 7733*k**2/5 + 4117*k/5 + 309 = 0. What is k?
-1/4, 1, 3, 515
Find x such that 4*x**2 - 344*x - 704 = 0.
-2, 88
What is i in 2*i**4 + 132*i**3 + 2706*i**2 + 16688*i + 14112 = 0?
-28, -9, -1
Solve -4*s**2 - 988*s = 0 for s.
-247, 0
Factor x**4/7 + 6*x**3/7 - 3*x**2/7 - 52*x/7 - 60/7.
(x - 3)*(x + 2)**2*(x + 5)/7
Determine t so that 3*t**5/4 - 243*t**4/4 + 3645*t**3/4 + 54675*t**2/4 = 0.
-9, 0, 45
Find w, given that 5*w**5 - 25*w**4 - 195*w**3 + 685*w**2 - 710*w + 240 = 0.
-6, 1, 8
Factor -2*s**3/5 + 34*s**2 - 656*s/5 + 648/5.
-2*(s - 81)*(s - 2)**2/5
Factor -3*g**4/2 + 9*g**3/2 + 81*g**2/2 - 405*g/2 + 243.
-3*(g - 3)**3*(g + 6)/2
Factor 4*f**4 - 8*f**3.
4*f**3*(f - 2)
Suppose 4*v**5/3 + 20*v**4/3 + 8*v**3 - 8*v**2/3 - 28*v/3 - 4 = 0. Calculate v.
-3, -1, 1
Let 2*m**4/21 - 200*m**3/7 + 44396*m**2/21 + 30200*m/7 + 45602/21 = 0. What is m?
-1, 151
Find h, given that 2*h**5/13 - 54*h**4/13 - 316*h**3/13 - 144*h**2/13 + 512*h/13 = 0.
-4, -2, 0, 1, 32
Suppose -5*g**4 + 30*g**3 + 35*g**2 - 240*g + 180 = 0. Calculate g.
-3, 1, 2, 6
Determine a so that -a**2 - 2088*a - 2087 = 0.
-2087, -1
Suppose -4*k**4 + 40*k**3 + 128*k**2 - 384*k = 0. What is k?
-4, 0, 2, 12
Solve 45*r**4/7 - 6*r**3/7 - 12*r**2 + 6*r/7 + 39/7 = 0 for r.
-1, -13/15, 1
Find m such that 2*m**2/5 - 162*m/5 - 164/5 = 0.
-1, 82
Factor -5*r**4 + 65*r**3 - 210*r**2 - 160*r + 1120.
-5*(r - 7)*(r - 4)**2*(r + 2)
Let i**4 + i**3 - 2*i**2 = 0. What is i?
-2, 0, 1
Factor 4*g**3 - 84*g**2 + 288*g - 272.
4*(g - 17)*(g - 2)**2
Factor 15*l**3/4 - 395*l**2/2 - 1955*l/4 + 825/2.
5*(l - 55)*(l + 3)*(3*l - 2)/4
Determine p, given that -2*p**4/9 - 230*p**3/3 - 6574*p**2 + 59858*p/9 = 0.
-173, 0, 1
Find m such that m**5/3 + 4*m**4/3 + 5*m**3/3 + 2*m**2/3 = 0.
-2, -1, 0
Factor -4*w**3 - 70*w**2 + 194*w - 120.
-2*(w - 1)*(w + 20)*(2*w - 3)
Factor 75*m**3 + 1880*m**2 + 115*m - 250.
5*(m + 25)*(3*m - 1)*(5*m + 2)
Factor -3*c**2 - 84*c.
-3*c*(c + 28)
Find h, given that -4*h**5 + 92*h**4 + 340*h**3 - 12716*h**2 = 0.
-11, 0, 17
Solve -3*r**4/7 + 69*r**3/7 - 360*r**2/7 + 48*r + 768/7 = 0 for r.
-1, 4, 16
Determine y so that 4*y**2/5 - 52*y/5 + 144/5 = 0.
4, 9
What is c in 21*c**5 - 516*c**4 + 267*c**3 + 516*c**2 - 288*c = 0?
-1, 0, 4/7, 1, 24
Determine m, given that -2*m**4/3 - 778*m**3/3 - 516*m**2 = 0.
-387, -2, 0
Factor -u**5 + 88*u**4 - 2692*u**3 + 31696*u**2 - 97216*u + 87808.
-(u - 28)**3*(u - 2)**2
Factor i**2 + i - 42.
(i - 6)*(i + 7)
Factor 4*l**2/5 + 2848*l/5 + 506944/5.
4*(l + 356)**2/5
Factor h**2 + 1641*h + 1640.
(h + 1)*(h + 1640)
Solve 10*n**5 - 76*n**4 - 262*n**3 + 208*n**2 + 120*n = 0 for n.
-3, -2/5, 0, 1, 10
Factor -2*r**2 - 24*r + 56.
-2*(r - 2)*(r + 14)
Factor -t**4/4 + 23*t**3/4 + 6*t**2.
-t**2*(t - 24)*(t + 1)/4
Factor -2*h**3/11.
-2*h**3/11
Factor 2*m**5/9 + 8*m**4/9 + 10*m**3/9 + 4*m**2/9.
2*m**2*(m + 1)**2*(m + 2)/9
Find k such that 2*k**4/7 + 72*k**3/7 + 640*k**2/7 - 288*k/7 - 2592/7 = 0.
-18, -2, 2
Let 24*f**4/5 + 156*f**3/5 + 378*f**2/5 + 81*f + 162/5 = 0. What is f?
-2, -3/2
Let w**5/2 + 9*w**4/2 - 27*w**3 - 7*w**2 + 165*w/2 + 117/2 = 0. What is w?
-13, -1, 3
Factor 3*w**3/7 - 170*w**2/7 - 61*w/7 + 228/7.
(w - 57)*(w - 1)*(3*w + 4)/7
Let 2*n**2 - 88*n + 86 = 0. What is n?
1, 43
Suppose f**4/4 + 1069*f**3/4 = 0. What is f?
-1069, 0
Find y such that -2*y**3/13 + 270*y**2/13 + 2*y/13 - 270/13 = 0.
-1, 1, 135
Factor 4*w**2 - 204*w - 3328.
4*(w - 64)*(w + 13)
Factor 100*v**4 - 1080*v**3 + 2196*v**2 +