**4/3 + 1510*n**3/3 - 94752*n**2 - 95256*n.
-2*n*(n - 378)**2*(n + 1)/3
Factor -5*x**2/2 - 2415*x/2 - 1205.
-5*(x + 1)*(x + 482)/2
Let -3*b**3 + 861*b**2 + 12*b - 3444 = 0. Calculate b.
-2, 2, 287
Determine t, given that t**5/5 - 32*t**4/5 - 188*t**3/5 + 94*t**2/5 + 619*t/5 + 74 = 0.
-5, -1, 2, 37
Solve 3*l**5/5 + 837*l**4/5 = 0.
-279, 0
Solve -3*h**5 + 36*h**4 - 120*h**3 + 54*h**2 + 123*h - 90 = 0 for h.
-1, 1, 5, 6
What is r in -4*r**3 - 43764*r**2 - 119727360*r - 119683600 = 0?
-5470, -1
Let -2*w**3/9 - 58*w**2/9 - 34*w/3 + 18 = 0. What is w?
-27, -3, 1
Solve -2*i**3/7 + 180*i**2/7 + 366*i/7 + 184/7 = 0.
-1, 92
Solve -l**2 + 1000*l - 250000 = 0 for l.
500
Let -11*r**3 - 24*r**2 - 15*r - 2 = 0. Calculate r.
-1, -2/11
Let v**5/4 - 3*v**4/4 - 7*v**3 = 0. What is v?
-4, 0, 7
Factor -2*j**3/9 - 2*j**2/3 + 4*j/3 + 16/9.
-2*(j - 2)*(j + 1)*(j + 4)/9
Factor q**2 + 253*q.
q*(q + 253)
Let -6*z**4/7 - 26*z**3/7 + 14*z**2 - 94*z/7 + 4 = 0. Calculate z.
-7, 2/3, 1
Suppose -t**2 + 40*t - 76 = 0. What is t?
2, 38
Factor 2*z**2/19 + 212*z/19 - 1110/19.
2*(z - 5)*(z + 111)/19
Factor -2*n**3 - 80*n**2 - 78*n.
-2*n*(n + 1)*(n + 39)
What is y in 33*y**4 + 2*y**3 - 33*y**2 - 2*y = 0?
-1, -2/33, 0, 1
Factor 88*x**2/9 + 82*x/9 - 2/3.
2*(x + 1)*(44*x - 3)/9
Solve i**2 + 188*i + 372 = 0 for i.
-186, -2
Factor -14*m**3/9 + 20*m**2/3 + 278*m/9 - 28/3.
-2*(m - 7)*(m + 3)*(7*m - 2)/9
Suppose 6*n**4/7 - 256*n**3/7 - 354*n**2/7 + 12*n + 176/7 = 0. What is n?
-1, 2/3, 44
Factor -2*z**2/3 - 5352*z - 10741464.
-2*(z + 4014)**2/3
Solve 5*n**2/4 - 125*n/2 + 330 = 0.
6, 44
Factor -5*i**2 - 310*i - 305.
-5*(i + 1)*(i + 61)
Solve -75*v**2 - 57*v + 18 = 0.
-1, 6/25
Determine q, given that -16*q**3 - 512*q**2 - 500*q - 124 = 0.
-31, -1/2
Suppose -2*t**2/23 + 8*t/23 - 6/23 = 0. What is t?
1, 3
Solve m**2 + 5*m + 4 = 0.
-4, -1
Solve -4*i**2 + 55568*i - 192987664 = 0.
6946
Determine u so that u**5/4 - 7*u**4/2 + 61*u**3/4 - 29*u**2 + 25*u - 8 = 0.
1, 2, 8
Factor -2209*g**3/7 - 12267*g**2 + 10989*g/7 - 351/7.
-(g + 39)*(47*g - 3)**2/7
Factor -2*k**2/21 - 206*k/21 + 856/21.
-2*(k - 4)*(k + 107)/21
Determine m so that -3*m**4/2 + 33*m**3 - 321*m**2/2 + 273*m - 144 = 0.
1, 2, 3, 16
Find i, given that -3*i**4/2 - 2493*i**3/2 = 0.
-831, 0
Find x, given that -2*x**3 + 40*x**2 + 54*x - 252 = 0.
-3, 2, 21
Determine v so that 3*v**4/4 + 21*v**3/2 + 219*v**2/4 + 126*v + 108 = 0.
-4, -3
Factor -2*w**3/3 + 116*w**2 - 6728*w + 390224/3.
-2*(w - 58)**3/3
Factor 5*a**2 - 610*a + 18200.
5*(a - 70)*(a - 52)
Determine l, given that -2*l**4/5 + 16*l**3/5 + 2*l**2/5 - 16*l/5 = 0.
-1, 0, 1, 8
Factor -28*c**2 - 6236*c + 1784.
-4*(c + 223)*(7*c - 2)
Find r such that -r**2 - 214*r - 11449 = 0.
-107
Solve 5*t**2 + 80*t + 240 = 0.
-12, -4
Factor -4*g**3/5 + 32*g**2/5 + 16*g.
-4*g*(g - 10)*(g + 2)/5
Suppose 220*x**2 + 3095*x + 210 = 0. What is x?
-14, -3/44
Find t such that 3*t**4/7 - 15*t**3/7 - 801*t**2/7 + 15*t/7 + 114 = 0.
-14, -1, 1, 19
What is y in -5*y**4 - 170*y**3 - 625*y**2 - 760*y - 300 = 0?
-30, -2, -1
Find z, given that -3*z**3/4 + 9*z**2 - 141*z/4 + 45 = 0.
3, 4, 5
Factor -3*b**4 - 534*b**3 - 25311*b**2 - 137772*b - 199692.
-3*(b + 3)**2*(b + 86)**2
Suppose 5*c**3 - 25*c**2 - 560*c + 3520 = 0. What is c?
-11, 8
Suppose -y**2 + 143*y - 822 = 0. What is y?
6, 137
Factor 2*h**2 - 188*h - 2080.
2*(h - 104)*(h + 10)
Suppose 5*a**2 + 16370*a + 13398845 = 0. Calculate a.
-1637
Determine x, given that 2735262*x**3/7 + 295704*x**2/7 + 10656*x/7 + 128/7 = 0.
-4/111
Determine p, given that 2*p**4 + 116*p**3 + 336*p**2 + 332*p + 110 = 0.
-55, -1
Solve 4*j**4/5 + 2*j**3 - 46*j**2/5 + 4*j = 0.
-5, 0, 1/2, 2
Factor 2*k**4 - 130*k**3.
2*k**3*(k - 65)
Find j, given that 16*j**2 - 604*j - 780 = 0.
-5/4, 39
Determine s, given that -4*s**3 - 65*s**2 + 212*s + 57 = 0.
-19, -1/4, 3
What is f in f**2 - 570*f - 571 = 0?
-1, 571
Factor -4*z**4 + 68*z**3 - 372*z**2 + 700*z - 392.
-4*(z - 7)**2*(z - 2)*(z - 1)
Factor -8*p**2/5 + 6*p/5 + 4.
-2*(p - 2)*(4*p + 5)/5
Solve -f**4/5 - 4*f**3/5 + 61*f**2/5 + 4*f/5 - 12 = 0 for f.
-10, -1, 1, 6
Determine f so that f**5 + 27*f**4 + 195*f**3 + 169*f**2 = 0.
-13, -1, 0
Factor 4*m**3 + 7392*m**2 + 4553472*m + 934979584.
4*(m + 616)**3
Suppose -3*p**5/7 - 15*p**4/7 + 27*p**3/7 + 51*p**2/7 - 24*p/7 - 36/7 = 0. Calculate p.
-6, -1, 1, 2
Factor h**4/2 + 5*h**3 + 12*h**2 - 5*h - 25/2.
(h - 1)*(h + 1)*(h + 5)**2/2
Factor 3*h**3 + 18*h**2 + 27*h.
3*h*(h + 3)**2
Let -k**2/3 - 29*k/3 - 154/3 = 0. What is k?
-22, -7
Solve 5*u**5/3 - 110*u**4 + 5440*u**3/3 + 110*u**2 - 1815*u = 0.
-1, 0, 1, 33
Factor -g**3/4 + 5*g**2 + 217*g/4 + 49.
-(g - 28)*(g + 1)*(g + 7)/4
Find m such that 2*m**5/7 - 6*m**4/7 + 4*m**3/7 + 4*m**2/7 - 6*m/7 + 2/7 = 0.
-1, 1
Let -8*n**4 - 60*n**3 + 216*n**2 + 148*n - 120 = 0. What is n?
-10, -1, 1/2, 3
Factor 4*g**2/7 - 20*g/7 - 144/7.
4*(g - 9)*(g + 4)/7
Factor 2*j**4/11 + 8*j**3/11 + 2*j**2/11 - 12*j/11.
2*j*(j - 1)*(j + 2)*(j + 3)/11
Determine v, given that 2*v**2 - 180*v + 352 = 0.
2, 88
Factor 17*s**3/3 - 101*s**2/3 + 49*s + 3.
(s - 3)**2*(17*s + 1)/3
Solve -5*r**5 - 49*r**4 - 90*r**3 + 70*r**2 + 95*r - 21 = 0 for r.
-7, -3, -1, 1/5, 1
Solve 2*t**4/5 - 2*t**3/5 - 26*t**2/5 + 2*t/5 + 24/5 = 0.
-3, -1, 1, 4
Suppose -g**4/5 - 554*g**3/5 - 76729*g**2/5 = 0. Calculate g.
-277, 0
Factor 4*g**2 - 2104*g + 276676.
4*(g - 263)**2
Find n such that -2*n**4/3 + 2*n**3 - 4*n**2/3 = 0.
0, 1, 2
Determine k so that 2*k**2/3 + 28*k/3 = 0.
-14, 0
Let 15*m**5 - 10*m**4 - 470*m**3 - 140*m**2 + 455*m + 150 = 0. Calculate m.
-5, -1, -1/3, 1, 6
Find g, given that 2*g**4 - 941*g**3/2 + 54987*g**2/2 + 21004*g - 6962 = 0.
-1, 1/4, 118
Determine b, given that -6*b**5 - 27*b**4 + 15*b**3 = 0.
-5, 0, 1/2
Let -260*b**3/9 - 562*b**2/3 + 926*b/9 - 28/3 = 0. What is b?
-7, 3/26, 2/5
Determine k so that k**5/6 - 5*k**3/6 + 2*k/3 = 0.
-2, -1, 0, 1, 2
What is h in -2*h**5 + 18*h**4 - 42*h**3 + 38*h**2 - 12*h = 0?
0, 1, 6
Determine v so that -v**2/5 - 168*v/5 = 0.
-168, 0
Factor 165*b**2 - 489*b - 18.
3*(b - 3)*(55*b + 2)
Suppose -6*w**4 - 4052*w**3 - 1350*w**2 = 0. What is w?
-675, -1/3, 0
Suppose -4*p**5 - 4*p**4 + 12*p**3 + 20*p**2 + 8*p = 0. What is p?
-1, 0, 2
Factor -5*n**2/3 + 20*n/3 - 5.
-5*(n - 3)*(n - 1)/3
Determine s, given that 6*s**4 + 10*s**3 - 118*s**2 - 82*s + 40 = 0.
-5, -1, 1/3, 4
Suppose 2*l**3/5 + 4*l**2 - 48*l/5 = 0. Calculate l.
-12, 0, 2
Factor -2*k**2 - 28*k - 80.
-2*(k + 4)*(k + 10)
Factor -5*l**3 + 180*l**2 + 375*l + 190.
-5*(l - 38)*(l + 1)**2
Let -5*u**2 - 330*u - 5425 = 0. Calculate u.
-35, -31
Solve -75*x**3 + 26155*x**2 + 20936*x/3 + 1396/3 = 0 for x.
-2/15, 349
Factor 2*p**2/9 + 4172*p/9 + 2175698/9.
2*(p + 1043)**2/9
Factor w**2/5 - 5314*w/5 + 7059649/5.
(w - 2657)**2/5
Solve -512*n**5/19 + 775168*n**4/19 + 775488*n**3/19 + 290848*n**2/19 + 48478*n/19 + 3030/19 = 0.
-1/4, 1515
What is w in 3*w**3 - 165*w**2 + 1008*w = 0?
0, 7, 48
Factor 2*i**2 - 4*i - 16.
2*(i - 4)*(i + 2)
Factor 3*u**2/8 - 6*u - 27/2.
3*(u - 18)*(u + 2)/8
Find y, given that -2*y**3 + 34*y**2 - 108*y - 144 = 0.
-1, 6, 12
Let 5*w**3 + 550*w**2 + 15660*w + 29160 = 0. Calculate w.
-54, -2
Solve -20*s**3/3 + 34*s**2/5 + 66*s/5 - 4/15 = 0 for s.
-1, 1/50, 2
Solve -216*y**3 + 25380*y**2 - 994050*y + 12977875 = 0 for y.
235/6
Factor -3*x**5/5 + 24*x**4/5 - 21*x**3/5.
-3*x**3*(x - 7)*(x - 1)/5
Find l such that -2*l**4/11 + 2*l**3 + 362*l**2/11 - 2*l - 360/11 = 0.
-9, -1, 1, 20
Let -2*o**2/7 + 184*o - 29624 = 0. What is o?
322
Factor -3*v**3 - 141*v**2 - 2184*v - 11172.
-3*(v + 14)**2*(v + 19)
Let 2*q**4 + 18*q**3 - 22*q**2 - 18*q + 20 = 0. Calculate q.
-10, -1, 1
Factor 24*d**3 + 4*d**2 - 76*d - 56.
4*(d - 2)*(d + 1)*(6*d + 7)
Factor -3*q**4/4 - 3*q**3 + 360*q**2 + 5100*q + 19500.
-3*(q - 26)*(q + 10)**3/4
Let 13*l**5/5 + 5939*l**4/5 + 680806*l**3/5 + 570912*l**2/5 - 103968*l/5 = 0. What is l?
-228, -1, 0, 2/13
What is v in 2*v**2/5 + 24*v/5 + 64/5 = 0?
-8, -4
Suppose -48*c**5/7 + 360*c**4/7 - 339*c**3/7 - 1200*c**2/7 - 513*c/7 - 60/7 = 0. Calculate c.
-1, -1/4, 4, 5
Determine z, given that z**2/3 - 5656*z/3 + 7997584/3 = 0.
2828
Determine i, given that 5*i**5 + 20*i**4 - 50*i**2 - 5*i + 30 = 0.
-3, -2, -1, 1
Determine k, given that 3*k**4/8 - 9*k**3/4 + 27*k**2/8 - 3*k/2 = 0.
0, 1, 4
Solve 2*p**3/3 - 2*p**2/3 - 4*