t -15*w**4 + 130*w**3 - 45*w**2 - 270*w - 80 = 0.
-1, -1/3, 2, 8
Factor g**4/2 + 5*g**3/2 - 29*g**2 - 16*g + 240.
(g - 4)**2*(g + 3)*(g + 10)/2
Factor 2*z**2 + 24*z + 40.
2*(z + 2)*(z + 10)
Factor -4*a**5 + 44*a**4 - 72*a**3 - 8*a**2 + 76*a - 36.
-4*(a - 9)*(a - 1)**3*(a + 1)
Factor 14*j**3 + 108*j**2 + 136*j - 48.
2*(j + 2)*(j + 6)*(7*j - 2)
Suppose -6*m**4/5 + 20*m**3 - 146*m**2/5 - 12*m = 0. What is m?
-1/3, 0, 2, 15
Factor 4*d**4 - 16*d**3 - 4*d**2 + 16*d.
4*d*(d - 4)*(d - 1)*(d + 1)
Suppose g**4/3 - 17*g**3/3 - 6*g**2 = 0. Calculate g.
-1, 0, 18
Factor 5*f**2 + 805*f + 800.
5*(f + 1)*(f + 160)
Suppose 2*q**3/5 - 34*q**2/5 - 386*q/5 - 70 = 0. Calculate q.
-7, -1, 25
Suppose -3*z**5 + 384*z**4 + 1566*z**3 + 2364*z**2 + 1581*z + 396 = 0. Calculate z.
-1, 132
Solve -4*f**4/7 - 12*f**3/7 + 16*f**2/7 = 0 for f.
-4, 0, 1
Find t, given that 2*t**5/11 + 42*t**4/11 + 162*t**3/11 - 10*t**2/11 - 708*t/11 - 576/11 = 0.
-16, -3, -1, 2
Find v, given that -924800*v**4/9 + 2771680*v**3/9 + 8158*v**2/9 + 2*v/3 = 0.
-1/680, 0, 3
Factor -2*s**2/11 + 8*s/11 + 10/11.
-2*(s - 5)*(s + 1)/11
Find t, given that -5*t**2 - 95*t - 170 = 0.
-17, -2
Solve 125*b**4 + 25*b**3 - 63330*b**2 + 50620*b - 10120 = 0 for b.
-23, 2/5, 22
Factor 3*d**5 - 3*d**4 - 12*d**3 + 12*d**2.
3*d**2*(d - 2)*(d - 1)*(d + 2)
Solve 3*s**4 + 51*s**3 + 78*s**2 - 204*s - 360 = 0 for s.
-15, -2, 2
Factor -l**4/2 - 20*l**3 + 44*l**2 + 80*l - 168.
-(l - 2)**2*(l + 2)*(l + 42)/2
Factor 50*i**3/9 - 110*i**2/3 - 46*i/3 - 14/9.
2*(i - 7)*(5*i + 1)**2/9
Suppose -v**5/4 + 13*v**4/4 - 3*v**3 = 0. What is v?
0, 1, 12
Find t such that 192*t**5/7 + 3984*t**4/7 + 22116*t**3/7 + 15123*t**2/7 + 3660*t/7 + 300/7 = 0.
-10, -1/4
Solve -12*q**5/7 + 32*q**4/7 + 12*q**3/7 - 48*q**2/7 - 16*q/7 = 0.
-1, -1/3, 0, 2
Factor o**2 - 40*o + 391.
(o - 23)*(o - 17)
Suppose l**2/3 - 17*l/3 = 0. What is l?
0, 17
Determine o so that 5*o**2 - 1515*o - 1520 = 0.
-1, 304
Factor 4*x**2/9 + 29192*x/9 - 3244.
4*(x - 1)*(x + 7299)/9
Factor -2*m**2/3 + 22*m/3 - 12.
-2*(m - 9)*(m - 2)/3
Determine b so that -243*b**3 + 15093*b**2 + 13560*b + 3024 = 0.
-4/9, 63
Factor k**4/4 + 23*k**3/4 + 81*k**2/4 + 97*k/4 + 19/2.
(k + 1)**2*(k + 2)*(k + 19)/4
Solve -5*b**5 - 90*b**4 - 535*b**3 - 990*b**2 + 540*b + 1080 = 0.
-6, -1, 1
Determine c, given that 4*c**2/7 - 40*c/7 - 96/7 = 0.
-2, 12
Let 125*h**4 - 425*h**3/2 - 135*h**2/4 + 1701*h/8 - 729/8 = 0. What is h?
-1, 9/10
Factor -2*n**3/3 + 6*n**2 + 2*n/3 - 6.
-2*(n - 9)*(n - 1)*(n + 1)/3
Factor 2*p**3 - 84*p**2 - 176*p.
2*p*(p - 44)*(p + 2)
Factor 4*t**3 - 716*t**2 - 4440*t.
4*t*(t - 185)*(t + 6)
Factor 3*n**4 - 102*n**3 + 1287*n**2 - 7140*n + 14700.
3*(n - 10)**2*(n - 7)**2
Factor -2*n**4/11 + 100*n**2/11 - 1250/11.
-2*(n - 5)**2*(n + 5)**2/11
Determine n so that 4*n**5 - 20*n**4 + 36*n**3 - 28*n**2 + 8*n = 0.
0, 1, 2
Factor 318*w**2/5 + 27*w/5.
3*w*(106*w + 9)/5
Let 2*h**4 - 108*h**3 + 1562*h**2 - 2808*h + 1352 = 0. Calculate h.
1, 26
Let 2*d**4/23 - 2220*d**3/23 + 622674*d**2/23 - 159840*d + 238464 = 0. What is d?
3, 552
Determine k so that 20*k**5 + 1464*k**4 - 1268*k**3 - 6152*k**2 + 4752*k + 1184 = 0.
-74, -2, -1/5, 1, 2
Factor 2*b**5/7 + 4*b**4/7 - 16*b**3/7 + 4*b**2/7 + 2*b - 8/7.
2*(b - 1)**3*(b + 1)*(b + 4)/7
Factor n**2 - 223*n - 678.
(n - 226)*(n + 3)
Find b such that 7*b**3 + 380*b**2 - 277*b - 110 = 0.
-55, -2/7, 1
Solve -2*w**3/3 - 50*w**2 - 1250*w - 31250/3 = 0 for w.
-25
Suppose 6*n**4 - 327*n**3 + 1812*n**2 - 3237*n + 1746 = 0. Calculate n.
1, 2, 3, 97/2
Suppose -40*m**3 + 45*m**2 + 75*m - 10 = 0. Calculate m.
-1, 1/8, 2
Solve -y**3/4 + 11*y**2/4 - 15*y/4 - 27/4 = 0.
-1, 3, 9
Determine p so that -2*p**2/21 - 74*p/21 + 52/7 = 0.
-39, 2
Factor -2*s**2/3 - 1264*s - 599136.
-2*(s + 948)**2/3
Find i such that -i**2 + 8352*i - 17438976 = 0.
4176
Determine j so that 4*j**5 + 16*j**4 + 8*j**3 - 16*j**2 - 12*j = 0.
-3, -1, 0, 1
Suppose 5*o**2 + 3840*o + 737280 = 0. Calculate o.
-384
Factor 4*t**2/3 + 1060*t/3 + 352.
4*(t + 1)*(t + 264)/3
Factor -25*x**2 - 3285*x - 1310.
-5*(x + 131)*(5*x + 2)
Factor j**2/5 + 28*j/5 + 52/5.
(j + 2)*(j + 26)/5
Determine s so that -44*s**3 + 7384*s**2 - 6004*s - 1336 = 0.
-2/11, 1, 167
Factor -5*j**2 - 2950*j - 435125.
-5*(j + 295)**2
Factor -2*o**5 + 2*o**4 + 10*o**3 - 2*o**2 - 16*o - 8.
-2*(o - 2)**2*(o + 1)**3
Factor -5*r**3 - 90*r**2 - 75*r + 170.
-5*(r - 1)*(r + 2)*(r + 17)
Factor -5*z**3/4 - 25*z**2/4 - 15*z/2.
-5*z*(z + 2)*(z + 3)/4
Solve 4*a**3/3 + 3692*a**2 + 3407716*a + 3145321868/3 = 0 for a.
-923
Factor 2*l**3/11 + 96*l**2/11 + 74*l.
2*l*(l + 11)*(l + 37)/11
Solve -126*j**5/13 + 384*j**4/13 - 398*j**3/13 + 132*j**2/13 + 24*j/13 - 16/13 = 0.
-2/7, 2/3, 1
Factor 2*b**3 + 38*b**2/3 - 136*b/3 + 24.
2*(b - 2)*(b + 9)*(3*b - 2)/3
Factor -5*k**2 - 10530*k - 5544045.
-5*(k + 1053)**2
Find v, given that v**5/2 + v**4/2 - 9*v**3 - 9*v**2 + 81*v/2 + 81/2 = 0.
-3, -1, 3
Find c such that 3*c**4 + 261*c**3 + 765*c**2 + 759*c + 252 = 0.
-84, -1
Factor 5*o**2 - 110*o - 1015.
5*(o - 29)*(o + 7)
Let -2*h**5 - 46*h**4 + 970*h**3 - 2666*h**2 - 8416*h - 4736 = 0. What is h?
-37, -1, 8
Suppose -o**4 - 37*o**3 + 3*o**2 + 109*o - 74 = 0. What is o?
-37, -2, 1
Suppose j**2/4 - 5*j - 69/4 = 0. What is j?
-3, 23
Factor 8*l**3/5 - 124*l**2/5 + 12*l.
4*l*(l - 15)*(2*l - 1)/5
Let -5*i**4 + 155*i**3 - 1275*i**2 + 1125*i = 0. Calculate i.
0, 1, 15
Determine y so that y**3/2 - 82*y**2 + 6885*y/2 - 6561 = 0.
2, 81
Factor -5*a**2/2 + 20*a - 30.
-5*(a - 6)*(a - 2)/2
Suppose 2*o**3/7 - 2*o**2 + 4*o/7 + 80/7 = 0. Calculate o.
-2, 4, 5
Let -4*o**5 + 28*o**4/5 + 72*o**3/5 - 112*o**2/5 + 32*o/5 = 0. Calculate o.
-2, 0, 2/5, 1, 2
Solve 5*c**3 - 690*c**2 + 29925*c - 416500 = 0 for c.
35, 68
Let w**4/2 - 18*w**3 + 35*w**2/2 = 0. What is w?
0, 1, 35
Factor -2*a**2/17 - 22*a/17 + 24/17.
-2*(a - 1)*(a + 12)/17
Factor 4*q**4 + 240*q**3 - 248*q**2 - 240*q + 244.
4*(q - 1)**2*(q + 1)*(q + 61)
Factor 2*a**2/3 - 2048*a/3 - 2050/3.
2*(a - 1025)*(a + 1)/3
Suppose 6*l**3 - 20*l**2 - 54*l + 20 = 0. What is l?
-2, 1/3, 5
Factor -3*r**3/2 + 1401*r**2 - 654267*r/2.
-3*r*(r - 467)**2/2
Let -36*u**5 - 960*u**4 - 1444*u**3 + 1448*u**2 + 1168*u - 800 = 0. What is u?
-25, -2, -1, 2/3
Find c such that -4*c**4 - 284*c**3 - 3948*c**2 + 284*c + 3952 = 0.
-52, -19, -1, 1
Find c, given that 2*c**3/5 + 15896*c**2/5 + 31585352*c/5 = 0.
-3974, 0
Factor -5*r**4 - 160*r**3 + 170*r**2 + 160*r - 165.
-5*(r - 1)**2*(r + 1)*(r + 33)
Suppose -5*w**2 - 240*w - 2880 = 0. Calculate w.
-24
Determine r so that 5*r**5 - 445*r**4 + 5595*r**3 - 26575*r**2 + 53000*r - 37500 = 0.
2, 5, 75
Factor 25*c**4/2 - 140*c**3 + 332*c**2 + 336*c + 72.
(c - 6)**2*(5*c + 2)**2/2
Determine z so that -z**4 - 6*z**3 - 9*z**2 - 4*z = 0.
-4, -1, 0
Find s, given that 2*s**4/9 + 26*s**3/9 + 22*s**2/9 - 26*s/9 - 8/3 = 0.
-12, -1, 1
Factor a**5/4 - 37*a**4/4 + 197*a**3/2 - 485*a**2/2 + 901*a/4 - 289/4.
(a - 17)**2*(a - 1)**3/4
Determine m so that 26*m**2/9 - 28*m/9 - 16/3 = 0.
-12/13, 2
Factor -2*h**2/3 + 10*h + 152/3.
-2*(h - 19)*(h + 4)/3
Factor -48668*z**4 + 571320*z**3 + 151248*z**2 + 13216*z + 384.
-4*(z - 12)*(23*z + 2)**3
What is q in q**3/5 - 3*q**2/5 - 49*q/5 - 9 = 0?
-5, -1, 9
Let -2*v**5/3 + 16*v**4/3 - 6*v**3 - 52*v**2/3 + 104*v/3 - 16 = 0. Calculate v.
-2, 1, 2, 6
Find o such that 3*o**3 + 84*o**2 - 180*o = 0.
-30, 0, 2
Factor -5*r**4/4 - 25*r**3/4 + 15*r**2/2.
-5*r**2*(r - 1)*(r + 6)/4
Factor -3*r**4/4 - 45*r**3/4 + 2079*r**2/4 - 13431*r/4.
-3*r*(r - 11)**2*(r + 37)/4
Suppose -a**5/5 - 2*a**4/5 + 27*a**3/5 + 8*a**2/5 - 68*a/5 - 48/5 = 0. What is a?
-6, -1, 2, 4
Solve -2*y**5 - 140*y**4 + 290*y**3 + 140*y**2 - 288*y = 0 for y.
-72, -1, 0, 1, 2
Let -100*z**5 + 80*z**4 + 384*z**3 - 320*z**2 + 64*z = 0. What is z?
-2, 0, 2/5, 2
Solve -3*d**2/8 + 9*d/2 + 21/2 = 0 for d.
-2, 14
Factor 3*p**5 - 3*p**4 - 39*p**3 + 75*p**2 - 36*p.
3*p*(p - 3)*(p - 1)**2*(p + 4)
Find i such that 4*i**2 + 1192*i + 2368 = 0.
-296, -2
Factor -2*m**2 - 42*m - 108.
-2*(m + 3)*(m + 18)
Factor 26*b**2 + 508*b - 240.
2*(b + 20)*(13*b - 6)
Solve 6*x**5/5 + 79*x**4/5 + 71*x**3 + 627*x**2/5 + 79*x + 10 = 0.
-5, -2, -1, -1/6
Solve -8*s**5 - 172*s**4 + 500*s**3 + 460*s**2 - 492*s - 288 = 0 for s.
-24, -1, -1/2, 1, 3
What is l in 2*l**2/13 - 538*l/13 + 1068/13 = 0?
2, 267
Factor -d*