-5, -1, 0
Factor -3*s**3/2 + 162*s**2 - 321*s/2.
-3*s*(s - 107)*(s - 1)/2
What is n in -n**2 - 17*n + 84 = 0?
-21, 4
Let -3*m**2 - 3486*m - 1012683 = 0. Calculate m.
-581
Factor -4*b**2/5 - 24*b - 896/5.
-4*(b + 14)*(b + 16)/5
Factor m**4/3 + 7*m**3/3 + 17*m**2/3 + 17*m/3 + 2.
(m + 1)**2*(m + 2)*(m + 3)/3
Determine s, given that -3*s**3/5 + 12*s**2/5 = 0.
0, 4
Solve -187*y**5/4 + 923*y**4/4 + 251*y**3/4 - 943*y**2/4 - 16*y + 5 = 0.
-1, -2/11, 2/17, 1, 5
Find t such that 2*t**5 - 30*t**4 + 126*t**3 - 26*t**2 - 576*t + 504 = 0.
-2, 1, 3, 6, 7
Factor 2*f**2/7 - 4176*f/7 + 2179872/7.
2*(f - 1044)**2/7
Factor -4*h**2 + 220*h + 696.
-4*(h - 58)*(h + 3)
Factor 3*n**4 - 13*n**3 + 11*n**2 + 5*n - 6.
(n - 3)*(n - 1)**2*(3*n + 2)
Solve -5*d**3 - 90*d**2 + 95*d = 0.
-19, 0, 1
Suppose 13*s**4/5 - 89*s**3/5 - 66*s**2/5 + 356*s/5 + 56/5 = 0. What is s?
-2, -2/13, 2, 7
Let o**5 + 5*o**4 + 2*o**3 - 8*o**2 = 0. Calculate o.
-4, -2, 0, 1
Factor -3*y**3/2 + 33*y**2 - 63*y/2.
-3*y*(y - 21)*(y - 1)/2
Factor -500*t**5/3 - 14150*t**4/3 - 102215*t**3/3 - 59641*t**2/6 - 2954*t/3 - 98/3.
-(t + 14)**2*(10*t + 1)**3/6
Let 9*r**4 - 285*r**3 + 2973*r**2 - 9867*r - 3630 = 0. Calculate r.
-1/3, 10, 11
Find i, given that -4*i**2 + 44*i - 96 = 0.
3, 8
Let -5*b**3 - 50*b**2 - 160*b - 160 = 0. Calculate b.
-4, -2
Suppose m**2/7 + 81*m/7 = 0. What is m?
-81, 0
Determine q, given that 4*q**5/7 - 20*q**4/7 - 4*q**3/7 + 20*q**2/7 = 0.
-1, 0, 1, 5
Find s, given that 9*s**4 + 5493*s**3 - 3665*s**2 + 611*s = 0.
-611, 0, 1/3
Suppose q**5/7 + q**4/7 - 18*q**3/7 - 52*q**2/7 - 40*q/7 = 0. What is q?
-2, 0, 5
Factor 4*h**2/7 - 316*h/7 + 312/7.
4*(h - 78)*(h - 1)/7
What is n in 3*n**5 - 42*n**4 - 6*n**3 + 84*n**2 + 3*n - 42 = 0?
-1, 1, 14
Factor -16*t**2 - 11340*t + 2836.
-4*(t + 709)*(4*t - 1)
Factor 25*r**4 + 115*r**3 + 185*r**2 + 125*r + 30.
5*(r + 1)**2*(r + 2)*(5*r + 3)
Solve 2*k**3/3 - 3214*k**2/3 + 429872*k + 430944 = 0 for k.
-1, 804
Factor 2*w**2 + 246*w + 244.
2*(w + 1)*(w + 122)
Factor -2*m**3/3 - 22*m**2/3 - 70*m/3 - 50/3.
-2*(m + 1)*(m + 5)**2/3
Find r such that 2*r**3/19 - 156*r**2/19 - 2*r/19 + 156/19 = 0.
-1, 1, 78
Factor 3*l**3/4 - 189*l**2/4 - 297*l/2.
3*l*(l - 66)*(l + 3)/4
Let 2*u**2/3 + 50*u/3 - 36 = 0. Calculate u.
-27, 2
Factor -5*u**3 - 330*u**2 - 6720*u - 39200.
-5*(u + 10)*(u + 28)**2
Let 3*h**3 + 26*h**2/3 + 5*h - 2/3 = 0. What is h?
-2, -1, 1/9
Factor -z**4/8 + z**2/8.
-z**2*(z - 1)*(z + 1)/8
Factor 2*h**5/9 + 32*h**4/9 + 58*h**3/9 + 28*h**2/9.
2*h**2*(h + 1)**2*(h + 14)/9
Determine x so that x**4/3 - x**3 - 3*x**2 + 23*x/3 - 4 = 0.
-3, 1, 4
Factor 22*b**2/17 - 90*b/17 + 72/17.
2*(b - 3)*(11*b - 12)/17
Factor 5*o**3 - 10*o**2 - 2305*o + 2310.
5*(o - 22)*(o - 1)*(o + 21)
Factor -2*p**2/11 - 46*p/11 + 100/11.
-2*(p - 2)*(p + 25)/11
Let 2*k**5/7 + 170*k**4/7 + 4142*k**3/7 + 21894*k**2/7 + 10296*k/7 - 36504/7 = 0. Calculate k.
-39, -6, -2, 1
Determine w, given that -2*w**2/9 + 280*w/3 = 0.
0, 420
Determine r, given that -2*r**5/9 - 4*r**4/9 + 52*r**3/9 - 112*r**2/9 + 94*r/9 - 28/9 = 0.
-7, 1, 2
Factor 5*d**3/3 + 5*d**2 + 10*d/3.
5*d*(d + 1)*(d + 2)/3
Factor -3*l**2/5 - 3*l.
-3*l*(l + 5)/5
Solve 21*l**4 + 669*l**3 - 117*l**2 - 669*l + 96 = 0.
-32, -1, 1/7, 1
Suppose -676*g**4/7 - 6136*g**3/7 - 4720*g**2/7 + 8544*g/7 - 2304/7 = 0. What is g?
-8, -2, 6/13
Suppose -4*b**4/3 + 10*b**3 - 14*b**2 - 80*b/3 + 32 = 0. Calculate b.
-3/2, 1, 4
Suppose -25*f**3 - 115*f**2 - 160*f - 60 = 0. Calculate f.
-2, -3/5
Let -1058*q**3/11 + 26266*q**2/11 + 4592*q/11 + 200/11 = 0. What is q?
-2/23, 25
Find h such that 4*h**3 + 48*h**2 + 92*h - 144 = 0.
-9, -4, 1
Determine o, given that -o**2/10 + 38*o/5 + 237/10 = 0.
-3, 79
Factor -b**3 + 157*b - 156.
-(b - 12)*(b - 1)*(b + 13)
Factor 3*z**3/2 - 113*z**2/2 + 1508*z/3 + 1682/3.
(z + 1)*(3*z - 58)**2/6
Factor -3*n**3/4 + 39*n**2/4 + 51*n.
-3*n*(n - 17)*(n + 4)/4
Find q such that -q**2/10 + 8*q/5 + 57/10 = 0.
-3, 19
Factor x**4 - 17*x**3 - 58*x**2 - 40*x.
x*(x - 20)*(x + 1)*(x + 2)
Factor -4*k**3 - k**2 + 4*k + 1.
-(k - 1)*(k + 1)*(4*k + 1)
Let -405*n**3 + 7875*n**2 - 3440*n + 380 = 0. What is n?
2/9, 19
Factor -4*i**3 + 36*i.
-4*i*(i - 3)*(i + 3)
What is m in m**5/2 - 4*m**4 + 2*m**3 + 29*m**2 - 5*m/2 - 25 = 0?
-2, -1, 1, 5
Solve -g**3/4 + 407*g**2/2 + 817*g + 818 = 0.
-2, 818
Let 21*a**3 + 204*a**2 + 129*a - 54 = 0. Calculate a.
-9, -1, 2/7
Suppose 18522*y**4 + 261954*y**3 + 37170*y**2 + 1766*y + 28 = 0. What is y?
-14, -1/21
Suppose 2*f**2 - 28*f - 30 = 0. What is f?
-1, 15
Find h, given that -8*h**2 + 18*h + 18 = 0.
-3/4, 3
Factor -3*x**4 - 15*x**3 - 27*x**2 - 21*x - 6.
-3*(x + 1)**3*(x + 2)
Factor -5*k**2 - 2120*k.
-5*k*(k + 424)
Factor -4*u**2/5 + 1352*u/5 - 5344/5.
-4*(u - 334)*(u - 4)/5
Factor -f**3/5 - 39*f**2/5 + f/5 + 39/5.
-(f - 1)*(f + 1)*(f + 39)/5
Factor -u**3 + 2*u**2 + u - 2.
-(u - 2)*(u - 1)*(u + 1)
Factor 6*l**3/5 - 14637*l**2/5 + 1784616*l + 893040.
3*(l - 1220)**2*(2*l + 1)/5
Suppose -6*w**4/13 - 1100*w**3/13 - 50048*w**2/13 + 33856*w/13 = 0. What is w?
-92, 0, 2/3
Determine n, given that 5*n**3 - 45*n**2 + 540 = 0.
-3, 6
Find z such that -3*z**4/4 + 9*z**3/8 + 24*z**2 + 261*z/8 + 21/2 = 0.
-4, -1, -1/2, 7
Let 25*h**5 + 75*h**4 - 404*h**3 + 288*h**2 + 64*h - 48 = 0. What is h?
-6, -2/5, 2/5, 1, 2
Factor -5*h**4 + 365*h**3 - 7185*h**2 + 19075*h - 12250.
-5*(h - 35)**2*(h - 2)*(h - 1)
What is b in -16*b**5 + 148*b**4 - 298*b**3 - 236*b**2 + 314*b + 88 = 0?
-1, -1/4, 1, 4, 11/2
Determine g, given that 3*g**5/7 + 39*g**4/7 - 1263*g**3/7 - 8355*g**2/7 + 165528*g/7 - 155952/7 = 0.
-19, 1, 12
Factor s**2/7 - 25/7.
(s - 5)*(s + 5)/7
Determine l, given that -2*l**5/7 + 34*l**4/7 - 156*l**3/7 + 128*l**2/7 + 320*l/7 = 0.
-1, 0, 4, 10
Factor -5*x**2/2 - 450*x - 890.
-5*(x + 2)*(x + 178)/2
Find t, given that 4*t**5 - 3480*t**4 + 1211040*t**3 - 210720960*t**2 + 18332723520*t - 637978778496 = 0.
174
Factor -21*i**3/5 - 104*i**2/5 - 164*i/5 - 16.
-(i + 2)**2*(21*i + 20)/5
Solve -2*m**2/9 - 16*m/9 + 22/3 = 0 for m.
-11, 3
Factor 2*p**3 + 830*p**2 - 2*p - 830.
2*(p - 1)*(p + 1)*(p + 415)
Factor -2*f**2/9 - 136*f/9 - 88/3.
-2*(f + 2)*(f + 66)/9
Let 3*i**3 - 1571*i**2 - 526*i + 1048 = 0. Calculate i.
-1, 2/3, 524
Factor r**3/2 - 15*r**2/2 - 33*r/2 - 17/2.
(r - 17)*(r + 1)**2/2
Suppose k**2/3 + 32*k/3 + 256/3 = 0. What is k?
-16
Factor -h**2 + 41*h - 390.
-(h - 26)*(h - 15)
Determine j so that -4*j**5 + 64*j**4 + 484*j**3 + 944*j**2 + 528*j = 0.
-3, -2, -1, 0, 22
Factor k**2 + 5*k + 4.
(k + 1)*(k + 4)
Determine q so that 2*q**3/5 - 42*q**2/5 - 52*q = 0.
-5, 0, 26
Solve -x**3 + 3*x**2 + 4*x = 0.
-1, 0, 4
Factor 5*j**4 + 5*j**3 - 80*j**2 + 100*j.
5*j*(j - 2)**2*(j + 5)
Find v, given that -v**2 - 170*v - 1896 = 0.
-158, -12
Determine p so that -5*p**2 - 380*p + 780 = 0.
-78, 2
Suppose -3*f**5/4 + 81*f**4 + 504*f**3 + 2037*f**2/2 + 3411*f/4 + 513/2 = 0. Calculate f.
-3, -1, 114
Factor -2*y**4/15 + 8*y**3/3 + 88*y**2/15.
-2*y**2*(y - 22)*(y + 2)/15
Factor -t**3/5 - 8*t**2/5 + 99*t/5 - 18.
-(t - 6)*(t - 1)*(t + 15)/5
Determine v so that -35*v**5 - 290*v**4 - 500*v**3 - 120*v**2 = 0.
-6, -2, -2/7, 0
Let q**3 - 195*q**2 = 0. What is q?
0, 195
Find n, given that 7*n**4 + 549*n**3 - 2034*n**2 + 1324*n + 984 = 0.
-82, -3/7, 2
Factor i**3/9 - 2*i**2/3.
i**2*(i - 6)/9
Factor y**4/5 + 62*y**3/5 + 12*y**2 - 62*y/5 - 61/5.
(y - 1)*(y + 1)**2*(y + 61)/5
Find c such that -c**2/4 + 3*c/2 - 5/4 = 0.
1, 5
Factor -3*t**3/2 - 24*t**2 - 105*t/2 + 78.
-3*(t - 1)*(t + 4)*(t + 13)/2
Factor 2*x**4 + 4*x**3 - 10*x**2 - 12*x.
2*x*(x - 2)*(x + 1)*(x + 3)
Find s such that -8*s**5 + 106*s**4 - 117*s**3 - 40*s**2 + 47*s + 12 = 0.
-1/2, -1/4, 1, 12
Let 2*z**2 + 9062*z = 0. Calculate z.
-4531, 0
Factor -3*r**5 - 12*r**4 - 12*r**3 + 6*r**2 + 15*r + 6.
-3*(r - 1)*(r + 1)**3*(r + 2)
Factor -5*f**3 + 680*f**2 + 685*f.
-5*f*(f - 137)*(f + 1)
Find s, given that -5*s**2/6 + 7*s/6 - 1/3 = 0.
2/5, 1
Solve x**3/5 - 143*x**2/5 + 112*x - 556/5 = 0 for x.
2, 139
Determine d, given that 3*d**3 + 177*d**2 + 2037*d + 6615 = 0.
-45, -7
What is b in -b**2/4 - 1831*b/4 + 458 = 0?
-1832, 1
Solve 64*c**3 - 224*c**2 - 124*c - 16 = 0 for c.
-1/4, 4
Determine n, given that 2*n**4/9 - 2*n**3 + 14*n**2/9 + 2*n - 16/9 = 0.
-1, 1, 8
Find o, given that -23*o**2/5 - 8*o + 12/5 = 0.
-2, 6/23
Factor -h**4/6