- 3657*m**2/8 + 4457883*m/8 - 1811386459/8.
(m - 1219)**3/8
Solve -2*k**5/5 - 788*k**4/5 + 792*k**3/5 + 788*k**2/5 - 158*k = 0.
-395, -1, 0, 1
Factor 4*w**3/5 + 56*w**2/5 + 20*w + 48/5.
4*(w + 1)**2*(w + 12)/5
Suppose -v**2 - 31*v + 102 = 0. Calculate v.
-34, 3
Factor 3*n**4 - 33*n**3 + 114*n**2 - 120*n.
3*n*(n - 5)*(n - 4)*(n - 2)
Find z such that -5*z**3 - 390*z**2 - 7200*z - 38880 = 0.
-54, -12
Let -3*z**2 - 18*z - 24 = 0. What is z?
-4, -2
Suppose 3*c**2/2 - 27/2 = 0. What is c?
-3, 3
Solve -3*p**4 - 492*p**3 - 19164*p**2 + 82656*p - 84672 = 0 for p.
-84, 2
Factor 2*d**4/5 - 4*d**3/5 - 16*d**2/5 + 36*d/5 - 18/5.
2*(d - 3)*(d - 1)**2*(d + 3)/5
Factor f**2/7 - 28*f + 1372.
(f - 98)**2/7
Factor 3*q**3/4 + 43*q**2/2 + 161*q + 98.
(q + 14)**2*(3*q + 2)/4
Solve 2*i**2/15 + 46*i/3 - 232/15 = 0.
-116, 1
What is g in -3*g**4/10 + 31*g**3/10 - 7*g**2/10 - 31*g/10 + 1 = 0?
-1, 1/3, 1, 10
Suppose 15*b**4 - 115*b**3 + 200*b**2 + 80*b = 0. Calculate b.
-1/3, 0, 4
Factor -33*z**2/4 - 15*z/4 + 9/2.
-3*(z + 1)*(11*z - 6)/4
Find c, given that -4*c**4/5 - 19*c**3 - 152*c**2/5 + 44*c/5 = 0.
-22, -2, 0, 1/4
Find w, given that -2*w**4 - 42*w**3 - 258*w**2 - 398*w - 180 = 0.
-10, -9, -1
Determine l so that 3*l**4/2 + 41*l**3/2 - 89*l**2 - 68*l = 0.
-17, -2/3, 0, 4
Let 5*q**4 - 105*q**3 - 365*q**2 + 105*q + 360 = 0. What is q?
-3, -1, 1, 24
Factor -2*n**2/5 - 108*n/5 + 144.
-2*(n - 6)*(n + 60)/5
Factor 2*g**2/15 - 58*g/15 + 16.
2*(g - 24)*(g - 5)/15
Let -r**3 - 56*r**2 + 59*r + 114 = 0. Calculate r.
-57, -1, 2
Factor 3*m**4/8 - 3*m**2/4 + 3/8.
3*(m - 1)**2*(m + 1)**2/8
Suppose -70*x**5/3 - 55*x**4/3 + 445*x**3/3 - 80*x**2/3 - 20*x = 0. Calculate x.
-3, -2/7, 0, 1/2, 2
Let -2*s**2/3 + 80*s - 1150/3 = 0. Calculate s.
5, 115
Factor 2*b**2 - 74*b - 240.
2*(b - 40)*(b + 3)
Let l**3/7 - 2285*l**2/7 = 0. What is l?
0, 2285
Let -2*t**5/5 + 2*t**4 + 24*t**3/5 - 88*t**2/5 - 32*t = 0. What is t?
-2, 0, 4, 5
Determine b, given that 5*b**4 - 190*b**3 - 820*b**2 - 840*b = 0.
-2, 0, 42
Solve 2*k**3/5 - 2*k**2 + 4*k/5 + 16/5 = 0.
-1, 2, 4
Factor -4*l**2/3 + 1384*l - 359148.
-4*(l - 519)**2/3
Suppose 36*v**5/5 - 6*v**4 - 26*v**3/5 + 32*v**2/5 - 8*v/5 = 0. Calculate v.
-1, 0, 1/2, 2/3
Solve -3*q**2 - 76*q - 1444/3 = 0.
-38/3
Find p, given that 2*p**3 + 16*p**2 - 158*p + 140 = 0.
-14, 1, 5
Suppose k**5/6 - 4*k**4/3 - 5*k**3 + 200*k**2/3 - 875*k/6 = 0. What is k?
-7, 0, 5
Determine v, given that -16*v**5 + 44*v**4 - 20*v**3 - 8*v**2 = 0.
-1/4, 0, 1, 2
What is q in -148*q**3 - 584*q**2 + 772*q - 40 = 0?
-5, 2/37, 1
Factor 2*o**3/9 + 1954*o**2/3 - 3910*o/3 + 5866/9.
2*(o - 1)**2*(o + 2933)/9
Determine p, given that -6*p**2/5 - 288*p/5 + 294/5 = 0.
-49, 1
Solve -12*a**5 + 8*a**4 + 364*a**3 + 120*a**2 = 0.
-5, -1/3, 0, 6
Let 2*c**5/5 + 22*c**4/5 + 36*c**3/5 - 4*c**2/5 - 38*c/5 - 18/5 = 0. What is c?
-9, -1, 1
Suppose 2*u**5/7 - 4*u**4/7 - 24*u**3/7 + 36*u**2/7 + 54*u/7 = 0. What is u?
-3, -1, 0, 3
Factor -5*m**3 - 45*m**2 + 50*m.
-5*m*(m - 1)*(m + 10)
Factor -5*v**4 + 35*v**3 + 250*v**2 - 960*v - 4320.
-5*(v - 9)*(v - 6)*(v + 4)**2
Factor 5*n**4 - 5*n**3 - 25*n**2 - 15*n.
5*n*(n - 3)*(n + 1)**2
Let -4*h**4 + 6168*h**3 - 3170352*h**2 + 543186976*h = 0. What is h?
0, 514
Factor 2*j**4/7 + 57*j**3/7 - 29*j**2/7.
j**2*(j + 29)*(2*j - 1)/7
Find y, given that 2*y**2 + 76*y + 384 = 0.
-32, -6
Factor -d**3/5 + 399*d**2/5 - 398*d/5.
-d*(d - 398)*(d - 1)/5
Factor -n**2/8 - 211*n/2 - 44521/2.
-(n + 422)**2/8
What is h in -5*h**4 + 9155*h**3 - 4195275*h**2 + 4186125*h = 0?
0, 1, 915
Find b such that -b**4/2 + 45*b**3/2 + 191*b**2/2 + 243*b/2 + 49 = 0.
-2, -1, 49
Factor -4*j**5 + 12*j**4 - 12*j**3 + 4*j**2.
-4*j**2*(j - 1)**3
Determine g so that -g**2/5 + 3*g + 16/5 = 0.
-1, 16
Let -6*y**4/11 + 8*y**3/11 + 26*y**2/11 - 28*y/11 = 0. What is y?
-2, 0, 1, 7/3
Factor 44*q**3 - 2040*q**2 + 2716*q - 720.
4*(q - 45)*(q - 1)*(11*q - 4)
What is j in j**2/4 - 16*j + 192 = 0?
16, 48
Factor x**3/2 - 36*x**2 + 401*x/2 - 165.
(x - 66)*(x - 5)*(x - 1)/2
Find k, given that 2*k**2/5 - 110*k + 548/5 = 0.
1, 274
Suppose 20*q**5 + 25*q**4 - 55*q**3 - 35*q**2 + 35*q + 10 = 0. Calculate q.
-2, -1, -1/4, 1
Factor t**2 - 19*t - 42.
(t - 21)*(t + 2)
Solve -2*o**2/7 + 440*o/7 - 438/7 = 0.
1, 219
Find h such that -2*h**2/3 = 0.
0
Solve n**4/3 - 49*n**3 + 577*n**2/3 - 239*n + 286/3 = 0.
1, 2, 143
Find g such that g**5/5 + 44*g**4/5 + 726*g**3/5 + 5324*g**2/5 + 14641*g/5 = 0.
-11, 0
Solve 2*k**3/7 + 26*k**2/7 - 92*k/7 + 64/7 = 0 for k.
-16, 1, 2
Factor c**3/3 - 7*c**2/3 + 14*c/3 - 8/3.
(c - 4)*(c - 2)*(c - 1)/3
Factor -2*k**3 + 1086*k**2 - 145782*k - 447174.
-2*(k - 273)**2*(k + 3)
Factor -3*w**2/5 - 27*w/5 - 12.
-3*(w + 4)*(w + 5)/5
Factor 2*r**2 + 6780*r + 6778.
2*(r + 1)*(r + 3389)
Find z such that 4*z**2/5 - 16*z = 0.
0, 20
Factor 3*o**3/5 + 141*o**2/5 + 516*o/5.
3*o*(o + 4)*(o + 43)/5
Suppose -5*w**4 - 150*w**3 + 865*w**2 - 390*w - 1400 = 0. What is w?
-35, -1, 2, 4
Suppose -z**3 - 41*z**2 = 0. What is z?
-41, 0
Let -3*b**2 + 168*b - 165 = 0. What is b?
1, 55
What is t in -2*t**2/21 + 186*t/7 - 1108/21 = 0?
2, 277
Factor 3*b**3/2 + 156*b**2 + 606*b + 600.
3*(b + 2)**2*(b + 100)/2
Solve 4*i**5 + 264*i**4 - 276*i**3 - 536*i**2 = 0.
-67, -1, 0, 2
Let -9*d**5 + 34*d**4 - 37*d**3 + 8*d**2 + 4*d = 0. Calculate d.
-2/9, 0, 1, 2
Let -4*w**4/7 + 456*w**3/7 + 944*w**2/7 - 1824*w/7 - 3712/7 = 0. Calculate w.
-2, 2, 116
Factor 2*c**5/3 + 2*c**4/3 - 32*c**3/3 + 40*c**2/3.
2*c**2*(c - 2)**2*(c + 5)/3
Factor 3*f**3/5 + 3*f**2/5.
3*f**2*(f + 1)/5
Factor -2*w**5 + 148*w**4 - 3818*w**3 + 39960*w**2 - 145800*w.
-2*w*(w - 27)**2*(w - 10)**2
Factor -4*s**3 - 80*s**2 + 172*s - 88.
-4*(s - 1)**2*(s + 22)
Find y, given that 154*y**4/9 + 236*y**3/9 + 2*y**2 - 56*y/9 + 8/9 = 0.
-1, 2/11, 2/7
Factor -2*h**3 + 10*h**2 + 16*h - 24.
-2*(h - 6)*(h - 1)*(h + 2)
Factor -o**3 - 43*o**2.
-o**2*(o + 43)
Factor -5*k**3 - 15*k**2 - 15*k - 5.
-5*(k + 1)**3
Factor 2*f**3 + 18*f**2 - 96*f + 104.
2*(f - 2)**2*(f + 13)
Find r such that -r**3 + 374*r**2 + 375*r = 0.
-1, 0, 375
Factor 6*j**4 - 26*j**3 + 36*j**2 - 16*j.
2*j*(j - 2)*(j - 1)*(3*j - 4)
What is j in j**3/6 - 19*j**2/6 - j/6 + 19/6 = 0?
-1, 1, 19
Solve 3*z**4/7 - 39*z**3 - 1125*z**2/7 - 1419*z/7 - 570/7 = 0 for z.
-2, -1, 95
Solve i**5/2 + 31*i**4/2 + 67*i**3/2 - 2547*i**2/2 + 4860*i - 5400 = 0.
-20, 3
Suppose 4*t**2 + 128*t + 240 = 0. Calculate t.
-30, -2
Solve -2*w**2/11 - 228*w/11 - 6498/11 = 0.
-57
Factor h**3/2 - h**2 - 13*h/2 - 5.
(h - 5)*(h + 1)*(h + 2)/2
Factor -3*s**5 - 77*s**4 - 257*s**3 - 339*s**2 - 200*s - 44.
-(s + 1)**3*(s + 22)*(3*s + 2)
Let 2*v**3/11 + 450*v**2/11 + 33750*v/11 + 843750/11 = 0. What is v?
-75
Factor -3*b**5 + 3*b**4 + 63*b**3 + 141*b**2 + 120*b + 36.
-3*(b - 6)*(b + 1)**3*(b + 2)
Suppose -b**4/3 - 4*b**3/3 - b**2 = 0. Calculate b.
-3, -1, 0
Find k, given that 6*k**4 + 80*k**3 - 514*k**2 - 180*k = 0.
-18, -1/3, 0, 5
Suppose -3*v**3 + 75*v**2 - 54*v - 432 = 0. What is v?
-2, 3, 24
What is b in -b**4 + b**3 + b**2 - b = 0?
-1, 0, 1
Factor n**2/3 + 2348*n/3 + 1378276/3.
(n + 1174)**2/3
Factor 7*s**4 + 19*s**3 - 76*s**2 + 20*s.
s*(s - 2)*(s + 5)*(7*s - 2)
What is w in -2*w**2/7 - 68*w/7 + 390/7 = 0?
-39, 5
Factor -a**2/2 + 149*a/2 + 711.
-(a - 158)*(a + 9)/2
Factor c**4 + 468*c**3 + 74784*c**2 + 4343552*c + 42141696.
(c + 12)*(c + 152)**3
Factor -22707*l**3 + 23751*l**2 - 1056*l + 12.
-3*(l - 1)*(87*l - 2)**2
Find k, given that -2*k**3 + 48*k**2 + 102*k + 52 = 0.
-1, 26
Factor r**4/3 - 10*r**3/3 + 32*r**2/3 - 38*r/3 + 5.
(r - 5)*(r - 3)*(r - 1)**2/3
Factor -n**4/6 + 37*n**3/6 + 203*n**2/6 + 97*n/2 + 21.
-(n - 42)*(n + 1)**2*(n + 3)/6
Factor -2*t**2/7 + 1614*t/7 - 1612/7.
-2*(t - 806)*(t - 1)/7
Factor 28*p**2 + 632*p - 960.
4*(p + 24)*(7*p - 10)
Factor -3*h**4 + 3*h**3 + 9*h**2 - 3*h - 6.
-3*(h - 2)*(h - 1)*(h + 1)**2
Solve -2*v**4/7 + 4*v**3 + 96*v**2/7 + 100*v/7 + 34/7 = 0.
-1, 17
Determine x so that x**5/2 + 9*x**4 + 81*x**3/2 = 0.
-9, 0
Factor -y**3/8 - 311*y**2/4 + y/8 + 311/4.
-(y - 1)*(y + 1)*(y + 622)/8
Suppose -2*a**4/7 + 4*a**3/7 + 2*a**2 - 40*a/7 + 24/7 = 0. What is a?
-3, 1, 2
Solve -5*z**3 - 33*z**2 + 164*z - 60 = 0.
-10, 2/5, 3
Factor 4*c**3 - 112*c**2 + 768*c.
4*c*(c - 16)*(c - 12)
Solve -4*s**2/7 + 500*s/7 - 984/7 = 0.
2, 123
Factor -3*x**3 + 39*x**2 - 144*x +