-2*s**3*(s - 2)*(s + 7)
Suppose -2*s**2/9 + 12*s - 34 = 0. What is s?
3, 51
Factor 3*t**2 + 90*t - 1053.
3*(t - 9)*(t + 39)
Determine x, given that 2*x**2/19 - 6284*x/19 + 4936082/19 = 0.
1571
Factor 276676*x**4 + 557560*x**3 + 285108*x**2 + 4240*x + 16.
4*(x + 1)**2*(263*x + 2)**2
Determine v, given that -2*v**5/7 - 10*v**4/7 - 2*v**3 + 2*v**2/7 + 16*v/7 + 8/7 = 0.
-2, -1, 1
Solve -2*b**4/5 - 24*b**3/5 + 26*b**2/5 = 0 for b.
-13, 0, 1
Find y, given that 2*y**5/3 + 4*y**4 + 14*y**3/3 - 12*y**2 - 88*y/3 - 16 = 0.
-3, -2, -1, 2
Determine s, given that -3*s**4 + 3810*s**3 - 1224819*s**2 + 9616440*s - 19111728 = 0.
4, 631
Find l, given that -21*l**3/2 - 411*l**2/2 + 1629*l/2 - 621/2 = 0.
-23, 3/7, 3
Factor i**3/11 - 18*i**2/11 + 60*i/11 + 200/11.
(i - 10)**2*(i + 2)/11
Factor -d**2 + 21*d + 22.
-(d - 22)*(d + 1)
Determine l so that -8820*l**3 - 420*l**2 - 5*l = 0.
-1/42, 0
Let -2*v**2/5 + 104*v/5 - 102/5 = 0. What is v?
1, 51
Factor -3*c**3 + 2037*c**2 - 346797*c + 344763.
-3*(c - 339)**2*(c - 1)
Determine r, given that -5*r**4 - 50*r**3 + 15*r**2 + 700*r - 980 = 0.
-7, 2
Suppose -9*u**5/2 - 50*u**4 - 127*u**3 - 126*u**2 - 97*u/2 - 4 = 0. Calculate u.
-8, -1, -1/9
Factor -t**4/6 + 17*t**3/6 - 50*t**2/3 + 38*t - 24.
-(t - 6)**2*(t - 4)*(t - 1)/6
Suppose -2*i**5/5 - 4*i**4 - 34*i**3/5 + 176*i**2/5 + 96*i = 0. What is i?
-5, -4, 0, 3
Determine g, given that -3*g**4/2 + 5*g**3/2 + 95*g**2/2 + 115*g/2 + 14 = 0.
-4, -1, -1/3, 7
Determine x, given that 2*x**4/7 + 9*x**3/7 + 11*x**2/7 - 4/7 = 0.
-2, -1, 1/2
Let s**5/10 - s**4/2 + s**3/10 + 13*s**2/10 - s/5 - 4/5 = 0. What is s?
-1, 1, 2, 4
Factor -3*a**2/2 + 9*a - 12.
-3*(a - 4)*(a - 2)/2
Factor 2*k**2 + 176*k + 174.
2*(k + 1)*(k + 87)
Find d, given that -2*d**3/15 - 142*d**2/15 + 88*d/3 - 296/15 = 0.
-74, 1, 2
Factor -c**2 + 58*c + 183.
-(c - 61)*(c + 3)
Find l, given that -80*l**3 - 440*l**2 - 525*l - 180 = 0.
-4, -3/4
Factor 3*w**2 + 4908*w + 2007372.
3*(w + 818)**2
Let u**5/2 - 4*u**4 + 11*u**3/2 + 4*u**2 - 6*u = 0. What is u?
-1, 0, 1, 2, 6
Suppose -4*f**5 + 5*f**4 + 3*f**3 - 5*f**2 + f = 0. Calculate f.
-1, 0, 1/4, 1
Find b, given that b**4 - 42*b**3 + 397*b**2 + 924*b + 484 = 0.
-1, 22
Suppose -147*c**5 - 231*c**4 + 492*c**3 + 912*c**2 + 384*c + 48 = 0. What is c?
-2, -1, -2/7, 2
Find g, given that 2*g**4/11 - 12*g**3/11 + 6*g**2/11 + 52*g/11 - 48/11 = 0.
-2, 1, 3, 4
Factor 5*i**2 - 100*i + 480.
5*(i - 12)*(i - 8)
Factor 2*o**2 + 580*o/3 + 128.
2*(o + 96)*(3*o + 2)/3
Find l such that -5*l**5 - 50*l**4 - 170*l**3 - 180*l**2 + 135*l + 270 = 0.
-3, -2, 1
Solve 2*f**2/11 - 278*f/11 = 0 for f.
0, 139
What is a in 5*a**3/2 + 1033*a**2/2 - 207*a = 0?
-207, 0, 2/5
Factor z**4 + 9*z**3 + 14*z**2.
z**2*(z + 2)*(z + 7)
Factor 5*f**4 + 710*f**3 + 8105*f**2 - 1214100*f + 14620500.
5*(f - 19)**2*(f + 90)**2
Factor 3*t**4 - 12*t**3 + 9*t**2.
3*t**2*(t - 3)*(t - 1)
Factor -48*s**5 + 16*s**4 + 4*s**3.
-4*s**3*(2*s - 1)*(6*s + 1)
Factor -87*r**2/4 + 53*r/4 - 2.
-(3*r - 1)*(29*r - 8)/4
Factor 7*n**4/5 - 37*n**3/5 + 52*n**2/5 - 12*n/5.
n*(n - 3)*(n - 2)*(7*n - 2)/5
Suppose -u**5/4 + u**4/4 + 5*u**3/4 - 5*u**2/4 - u + 1 = 0. What is u?
-2, -1, 1, 2
Suppose 2*t**2 + 88*t - 90 = 0. What is t?
-45, 1
Determine w, given that -4*w**3/13 + 34*w**2/13 - 80*w/13 + 32/13 = 0.
1/2, 4
Solve 2*m**3/5 + 4*m**2/5 = 0.
-2, 0
Factor 4*d**2 + 372*d.
4*d*(d + 93)
Let -2*d**5/9 + 844*d**4/9 + 2*d**3/3 - 2528*d**2/9 - 1688*d/9 = 0. Calculate d.
-1, 0, 2, 422
Solve -25*c**3/6 - 2305*c**2/6 - 2735*c/6 - 455/6 = 0.
-91, -1, -1/5
Factor z**3/9 - 13*z**2/9 + 32*z/9 - 20/9.
(z - 10)*(z - 2)*(z - 1)/9
Factor 2*u**3/17 - 464*u**2/17 + 3134*u/17 + 3600/17.
2*(u - 225)*(u - 8)*(u + 1)/17
Suppose -2*y**3/7 - 64*y**2 - 25530*y/7 - 49284/7 = 0. What is y?
-111, -2
Let -2*c**2/3 - 52*c/3 + 18 = 0. What is c?
-27, 1
Factor 5*j**2 - 8960*j.
5*j*(j - 1792)
Determine a, given that -a**2/2 - 142*a/3 - 94/3 = 0.
-94, -2/3
Factor 2*u**3/11 - 194*u**2/11 + 192*u - 6120/11.
2*(u - 85)*(u - 6)**2/11
Factor -5*m**4 + 1800*m**3 - 162000*m**2.
-5*m**2*(m - 180)**2
Find v, given that 2*v**3 + 416*v**2 + 824*v = 0.
-206, -2, 0
Find g, given that g**2/5 + 11*g/5 - 26/5 = 0.
-13, 2
Determine c, given that -2*c**3/7 + 86*c**2 - 45600*c/7 + 45000/7 = 0.
1, 150
Suppose -k**4 + 14*k**3 - 36*k**2 - 56*k + 160 = 0. Calculate k.
-2, 2, 4, 10
Factor -n**4/9 + 34*n**3/9 - 65*n**2/9 + 32*n/9.
-n*(n - 32)*(n - 1)**2/9
Solve -3*o**2/2 - 177*o/2 - 897 = 0.
-46, -13
Factor 3*a**3/5 - 81*a**2 + 13869*a/5 - 13467/5.
3*(a - 67)**2*(a - 1)/5
Factor -f**3/6 + 53*f**2/2 - 79*f/3.
-f*(f - 158)*(f - 1)/6
Factor -14*v**4/15 + 26*v**3/3 - 12*v**2/5.
-2*v**2*(v - 9)*(7*v - 2)/15
Solve -15*g**4 - 69*g**3 + 540*g**2 + 996*g - 480 = 0 for g.
-8, -2, 2/5, 5
Suppose -2*v**2/3 + 218*v/3 - 428/3 = 0. Calculate v.
2, 107
Solve -3*x**2 - 1986*x + 3984 = 0 for x.
-664, 2
Factor q**2 - 18*q - 19.
(q - 19)*(q + 1)
Suppose -2883*s**5/2 - 14508*s**4 - 1863*s**3/2 - 15*s**2 = 0. What is s?
-10, -1/31, 0
What is y in 5*y**4/8 - y**3 - 79*y**2/8 + 75*y/4 + 9 = 0?
-4, -2/5, 3
Solve -5*o**2 - 7590*o - 2880405 = 0.
-759
Factor 2*x**4/5 - 8*x**3/5 + 6*x**2/5.
2*x**2*(x - 3)*(x - 1)/5
Factor -y**3 + 261*y**2.
-y**2*(y - 261)
Factor -4*q**5 + 4*q**4 + 192*q**3 + 736*q**2 + 1088*q + 576.
-4*(q - 9)*(q + 2)**4
Factor -z**2 + 972*z - 236196.
-(z - 486)**2
Solve f**3 - 13*f**2 - 46*f - 32 = 0 for f.
-2, -1, 16
Factor -2*s**5/3 - 4*s**4/3 + 4*s**2/3 + 2*s/3.
-2*s*(s - 1)*(s + 1)**3/3
Determine x, given that -x**3 + 115*x**2 - 3248*x - 3364 = 0.
-1, 58
Let -2*a**4 - 32*a**3 - 176*a**2 - 384*a - 288 = 0. Calculate a.
-6, -2
Factor -558*q**4/5 + 3351*q**3/5 - 1008*q**2 + 27*q/5.
-3*q*(q - 3)**2*(186*q - 1)/5
Factor 2*v**2/5 + 80*v + 4000.
2*(v + 100)**2/5
Determine u, given that u**4/3 + 13*u**3/3 + 19*u**2 + 33*u + 18 = 0.
-6, -3, -1
Factor -3*j**2/5 - 378*j/5.
-3*j*(j + 126)/5
Factor 3*m**5 - 27*m**4 + 78*m**3 - 102*m**2 + 63*m - 15.
3*(m - 5)*(m - 1)**4
Factor 3*f**4/2 - 75*f**3/2 + 69*f**2.
3*f**2*(f - 23)*(f - 2)/2
Factor 27*f**5 - 58023*f**4 + 31143834*f**3 + 31182526*f**2 + 10398475*f + 1155625.
(f - 1075)**2*(3*f + 1)**3
What is p in -4*p**4 - 8*p**3 + 52*p**2 - 40*p = 0?
-5, 0, 1, 2
Let 4*v**5 - 24*v**4 + 36*v**3 - 16*v**2 = 0. Calculate v.
0, 1, 4
Suppose q**4 - 2*q**3 - 13*q**2 + 14*q + 24 = 0. What is q?
-3, -1, 2, 4
Determine d, given that -40*d**5/3 - 192*d**4 + 1670*d**3/3 - 542*d**2 + 674*d/3 - 34 = 0.
-17, 1/2, 3/5, 1
Factor -3*v**5/4 + 113*v**4/4 + 19*v**3/2.
-v**3*(v - 38)*(3*v + 1)/4
Find s such that 5*s**2 + 140*s = 0.
-28, 0
Let h**4 + 75*h**3/7 + 160*h**2/7 + 60*h/7 - 32/7 = 0. Calculate h.
-8, -2, -1, 2/7
Factor 4*v**2 + 136*v + 1152.
4*(v + 16)*(v + 18)
Factor -n**3/3 - 34*n**2/3 - 380*n/3 - 1400/3.
-(n + 10)**2*(n + 14)/3
Factor j**5 + 5*j**4 + 2*j**3 - 20*j**2 - 24*j.
j*(j - 2)*(j + 2)**2*(j + 3)
Determine k, given that 2*k**4/7 + 26*k**3/7 + 16*k**2 + 184*k/7 + 96/7 = 0.
-6, -4, -2, -1
Suppose 2*g**3 - 32*g**2 - 72*g = 0. Calculate g.
-2, 0, 18
Let 3*r**3/4 + 531*r**2/2 + 1053*r + 1050 = 0. Calculate r.
-350, -2
Let n**2 + 316*n + 315 = 0. What is n?
-315, -1
Factor -2*v**3/9 - 404*v**2/3 + 270*v - 1216/9.
-2*(v - 1)**2*(v + 608)/9
Factor 5*l**2/6 + 6050*l/3 + 3660250/3.
5*(l + 1210)**2/6
Let 3*h**4/5 - 21*h**2/5 - 18*h/5 = 0. Calculate h.
-2, -1, 0, 3
Factor -2*f**2 + 1286*f + 7788.
-2*(f - 649)*(f + 6)
Factor 4*w**3 - 4*w**2 - 56*w + 96.
4*(w - 3)*(w - 2)*(w + 4)
Factor b**4 + 16*b**3 + 13*b**2 - 30*b.
b*(b - 1)*(b + 2)*(b + 15)
Suppose -2*v**4/11 + 12*v**3/11 + 82*v**2/11 - 12*v/11 - 80/11 = 0. What is v?
-4, -1, 1, 10
Factor -m**2 - 538*m + 539.
-(m - 1)*(m + 539)
Suppose z**5 - 10*z**4 + 23*z**3 + 10*z**2 - 24*z = 0. Calculate z.
-1, 0, 1, 4, 6
Factor 5*w**5 + 15*w**4 - 115*w**3 + 165*w**2 - 70*w.
5*w*(w - 2)*(w - 1)**2*(w + 7)
Find d such that 5*d**4 + 40*d**3 + 10*d**2 - 160*d + 105 = 0.
-7, -3, 1
Find y such that -y**2/5 + 119*y/5 + 366/5 = 0.
-3, 122
Determine p, given that -2*p**3 - 77*p**2/3 - 92*p - 60 = 0.
-6, -5/6
Factor -q**3/3 + 83*q**2/3 + 344*q/3 + 116.
-(q - 87)*(q + 2)**2/3
Factor -4*v**5/5 + 324*v**4/5 - 7032*v**3/5 + 19192*v**2/5 - 18564*v/5 + 6084/5.
-4*(v - 39)**2*(v - 1)**3/5
Determine b, given that 2*b**5/11 - 74*b**4/11 + 592*b**3/11 - 520*b**2/11 = 0.
0, 1, 10, 26