4*c**2 + 24*c = 0.
-1, 0, 2, 3
What is a in -4*a**2 - 228*a + 232 = 0?
-58, 1
Factor 2*y**2/3 - 16*y/3 + 14/3.
2*(y - 7)*(y - 1)/3
Suppose -8*w**4/7 + 38*w**3/7 - 38*w**2/7 - 12*w/7 = 0. What is w?
-1/4, 0, 2, 3
Suppose -5*x**5 - 300*x**4 + 625*x**3 + 300*x**2 - 620*x = 0. Calculate x.
-62, -1, 0, 1, 2
Factor i**3/3 - 13*i**2/3 - 169*i/3 + 2197/3.
(i - 13)**2*(i + 13)/3
Factor -2*t**2/7 + 88*t/7 - 246/7.
-2*(t - 41)*(t - 3)/7
Factor -38*b**3 - 16*b**2 + 38*b + 16.
-2*(b - 1)*(b + 1)*(19*b + 8)
Suppose -108*c**5/7 + 181260*c**4/7 - 60324*c**3/7 - 141004*c**2/7 + 87264*c/7 - 13424/7 = 0. Calculate c.
-1, 1/3, 2/3, 1678
Let x**5/8 + 105*x**4/8 + 127*x**3/2 + 201*x**2/2 + 50*x = 0. Calculate x.
-100, -2, -1, 0
Factor 5*j**4 - 5*j**3 - 35*j**2 + 65*j - 30.
5*(j - 2)*(j - 1)**2*(j + 3)
Suppose 3*a**4 - 3*a**3 - 90*a**2 + 216*a = 0. Calculate a.
-6, 0, 3, 4
Factor 2*w**3/5 - 42*w/5 - 8.
2*(w - 5)*(w + 1)*(w + 4)/5
Find m, given that -2*m**2/3 - 20*m + 62/3 = 0.
-31, 1
Determine s so that 98*s**5 - 1526*s**4/5 + 1782*s**3/5 - 194*s**2 + 248*s/5 - 24/5 = 0.
2/7, 2/5, 3/7, 1
Factor 2*t**2 - 120*t + 232.
2*(t - 58)*(t - 2)
What is k in -2*k**4/7 + 1072*k**3/7 - 143648*k**2/7 = 0?
0, 268
Find z, given that 8*z**3/9 - 10*z**2 + 82*z/3 - 56/9 = 0.
1/4, 4, 7
What is j in -2*j**2/15 + 2*j/5 + 8/15 = 0?
-1, 4
Find q such that 18*q**5 + 40*q**4 - 10*q**3 - 40*q**2 - 8*q = 0.
-2, -1, -2/9, 0, 1
Factor -4*y**3/7 + 2276*y**2/7.
-4*y**2*(y - 569)/7
Factor 2*p**3/7 + 12*p**2/7 - 30*p/7 - 200/7.
2*(p - 4)*(p + 5)**2/7
Find q, given that 4*q**5/7 + 96*q**4/7 - 8*q**3/7 - 192*q**2/7 + 4*q/7 + 96/7 = 0.
-24, -1, 1
Factor 2*t**2 - 42*t + 108.
2*(t - 18)*(t - 3)
Find x such that -4*x**2 + 472*x - 468 = 0.
1, 117
Let -p**4/8 - 65*p**3/4 - 183*p**2 - 716*p - 944 = 0. Calculate p.
-118, -4
Find k such that 4*k**5/5 + 9*k**4/5 - 34*k**3/5 - 81*k**2/5 - 18*k/5 = 0.
-3, -2, -1/4, 0, 3
Let 52*c**5/5 - 44*c**4/5 - 476*c**3/5 + 396*c**2/5 + 72*c/5 = 0. Calculate c.
-3, -2/13, 0, 1, 3
Factor 2*r**4 - 268*r**3 - 272*r**2 + 268*r + 270.
2*(r - 135)*(r - 1)*(r + 1)**2
Factor -24*a**2/11 - 6462*a/11 - 1614/11.
-6*(a + 269)*(4*a + 1)/11
Suppose -z**5/7 + 4*z**4/7 + 4*z**3 - 160*z**2/7 + 192*z/7 = 0. Calculate z.
-6, 0, 2, 4
Suppose 5*n**5 - 10*n**4 - 90*n**3 - 160*n**2 - 115*n - 30 = 0. What is n?
-1, 6
Determine u so that 2*u**2/15 - 2*u/5 + 4/15 = 0.
1, 2
Determine i so that -2*i**2/3 + 16*i + 50/3 = 0.
-1, 25
Factor 5*w**3 - 10270*w**2.
5*w**2*(w - 2054)
Factor -2*o**2/9 - 148*o/3 - 4240/9.
-2*(o + 10)*(o + 212)/9
Determine b, given that 2*b**2/15 - 4*b/5 - 48/5 = 0.
-6, 12
Factor -5*s**2 - 105*s - 400.
-5*(s + 5)*(s + 16)
What is p in 5*p**3/6 - 15*p**2/2 + 35*p/3 = 0?
0, 2, 7
What is v in v**2 + 374*v - 375 = 0?
-375, 1
Factor 324*g**3 + 72*g**2 + 4*g.
4*g*(9*g + 1)**2
Suppose 3*x**5 - 6*x**4 - 60*x**3 + 24*x**2 + 384*x + 384 = 0. What is x?
-2, 4
Find p, given that -4*p**4/3 - 34*p**3/3 - 12*p**2 + 136*p/3 + 208/3 = 0.
-13/2, -2, 2
Solve -3*x**5 + 27*x**4 + 306*x**3 - 1452*x**2 + 1512*x = 0 for x.
-9, 0, 2, 14
Let -3*c**3/5 + 87*c**2/5 - 48*c + 156/5 = 0. What is c?
1, 2, 26
Factor -2*u**2/5 - 118*u/5 + 244/5.
-2*(u - 2)*(u + 61)/5
Factor -4*t**3 + 20*t**2 + 132*t + 108.
-4*(t - 9)*(t + 1)*(t + 3)
Find v such that v**4 - 2*v**3 - 11*v**2 + 12*v + 36 = 0.
-2, 3
Solve -2*h**2 + 868*h - 94178 = 0.
217
What is y in 3*y**2 + 12*y - 96 = 0?
-8, 4
Suppose 2*s**4/9 + 10*s**3/9 + 2*s**2/3 - 2*s = 0. Calculate s.
-3, 0, 1
Factor -18*b**3 - 346*b**2 - 76*b.
-2*b*(b + 19)*(9*b + 2)
Find i such that i**4 + 4*i**3 + 5*i**2 + 2*i = 0.
-2, -1, 0
Solve -4*a**2 - 8*a + 60 = 0 for a.
-5, 3
Factor -5*x**2 - 40*x + 165.
-5*(x - 3)*(x + 11)
Factor 8*b**3/3 - 47*b**2/3 + 34*b/3 + 5/3.
(b - 5)*(b - 1)*(8*b + 1)/3
Factor s**5/5 - 33*s**4/5 + 324*s**3/5 - 432*s**2/5 - 5184*s/5.
s*(s - 12)**3*(s + 3)/5
Factor 45*o**3 + 55*o**2 + 10*o.
5*o*(o + 1)*(9*o + 2)
Determine x so that -4*x**2 + 176*x = 0.
0, 44
Let 2*p**2 + 1518*p = 0. What is p?
-759, 0
Determine x so that x**2/9 + 2*x/9 - 8/9 = 0.
-4, 2
Find o such that 3*o**2 + 3939*o = 0.
-1313, 0
Let -21*h**2 + 897*h + 258 = 0. What is h?
-2/7, 43
What is o in -2*o**2 + 12*o + 110 = 0?
-5, 11
Factor 4*a**4 - 88*a**3 + 164*a**2 - 80*a.
4*a*(a - 20)*(a - 1)**2
Factor 2*f**3/13 + 12*f**2/13 + 24*f/13 + 16/13.
2*(f + 2)**3/13
Factor 4*t**3/7 - 52*t**2/7 + 24*t/7 + 288/7.
4*(t - 12)*(t - 3)*(t + 2)/7
Factor 4*j**2 - 306*j - 468.
2*(j - 78)*(2*j + 3)
Find q such that -q**2 + 95*q - 774 = 0.
9, 86
Determine o, given that -4*o**5 - 12*o**4 + 140*o**3 + 300*o**2 - 1000*o = 0.
-5, 0, 2, 5
Factor -q**3/5 - q**2/5 + 12*q/5.
-q*(q - 3)*(q + 4)/5
Find s, given that -4*s**3/3 + 110*s**2/3 + 98*s + 60 = 0.
-3/2, -1, 30
Determine s so that 2*s**4/7 - 46*s**3/7 - 134*s**2 - 518*s = 0.
-7, 0, 37
Let -35*s**4 - 395*s**3 + 765*s**2 - 205*s - 130 = 0. Calculate s.
-13, -2/7, 1
Factor 10*a**2/3 + 245*a/3 + 115.
5*(a + 23)*(2*a + 3)/3
Suppose 6*c**3 + 25*c**2/2 + c = 0. What is c?
-2, -1/12, 0
Suppose -3*y**3/8 - 57*y**2/8 + 123*y/8 - 63/8 = 0. What is y?
-21, 1
Determine n so that 14792*n**4/11 - 1806*n**3 + 5450*n**2/11 - 384*n/11 + 8/11 = 0.
2/43, 1/4, 1
Factor -2*k**2/7 - 180*k/7 + 558/7.
-2*(k - 3)*(k + 93)/7
Factor 4*g**3/9 - 44*g**2/3 - 64*g - 592/9.
4*(g - 37)*(g + 2)**2/9
Suppose -v**4/3 + 292*v**3/3 - 21022*v**2/3 - 14308*v - 7203 = 0. Calculate v.
-1, 147
Suppose t**3/3 - 104*t**2/3 + 2597*t/3 + 5618/3 = 0. Calculate t.
-2, 53
Factor -2*y**3 - 930*y**2 + 2808*y.
-2*y*(y - 3)*(y + 468)
Let -2*h**2/7 - 6*h - 40/7 = 0. What is h?
-20, -1
What is c in -5*c**2 + 3720*c = 0?
0, 744
Factor -3*n**3/5 - 3*n**2 + 102*n/5 + 48.
-3*(n - 5)*(n + 2)*(n + 8)/5
What is d in -2*d**4/9 + 8*d**3/9 + 38*d**2/9 + 28*d/9 = 0?
-2, -1, 0, 7
Factor 4*x**3 - 268*x**2 + 776*x - 512.
4*(x - 64)*(x - 2)*(x - 1)
Determine w, given that 3*w**2 + 45*w - 102 = 0.
-17, 2
Factor -3*q**2 - 9*q/5 + 6/5.
-3*(q + 1)*(5*q - 2)/5
Solve -2*m**3 + 28*m**2 - 90*m = 0.
0, 5, 9
What is f in -7*f**2 + 103*f + 30 = 0?
-2/7, 15
Let -5*f**2 - 115*f + 2100 = 0. What is f?
-35, 12
Factor 5*v**3 - 8245*v**2 + 3403120*v - 3394880.
5*(v - 824)**2*(v - 1)
Factor 2*v**3/5 + 54*v**2 - 276*v/5 - 544/5.
2*(v - 2)*(v + 1)*(v + 136)/5
What is y in -4*y**4/3 + 32*y**3/3 + 4*y**2 - 104*y/3 + 64/3 = 0?
-2, 1, 8
Factor -3*o**3 + 165*o**2 - 1026*o + 864.
-3*(o - 48)*(o - 6)*(o - 1)
What is j in 4*j**5 + 40*j**4 + 144*j**3 + 216*j**2 + 108*j = 0?
-3, -1, 0
Factor -w**3 + 21*w**2 + w - 21.
-(w - 21)*(w - 1)*(w + 1)
Solve -16*i**5/7 - 68*i**4/7 - 64*i**3/7 + 52*i**2/7 + 80*i/7 + 16/7 = 0 for i.
-2, -1, -1/4, 1
Factor -a**3/3 + 223*a**2/3 + a/3 - 223/3.
-(a - 223)*(a - 1)*(a + 1)/3
Factor 3*q**2/4 + 501*q/4.
3*q*(q + 167)/4
Find d, given that 52*d**2/3 - 365*d/3 + 7/3 = 0.
1/52, 7
Solve -4*t**2 + 8120*t - 4120900 = 0.
1015
Factor a**2 + 134*a + 4489.
(a + 67)**2
Factor -4*w**2 + 7752*w - 3755844.
-4*(w - 969)**2
Factor 21*m**2 - 351*m - 102.
3*(m - 17)*(7*m + 2)
Suppose 85*m**2 - 26360*m + 3100 = 0. What is m?
2/17, 310
Suppose -y**3/4 - 21*y**2/2 - 38*y = 0. Calculate y.
-38, -4, 0
Factor 2*m**3/7 - 26*m**2/7 + 60*m/7.
2*m*(m - 10)*(m - 3)/7
Factor l**4/7 + 186*l**3/7 + 12792*l**2/7 + 386630*l/7 + 620289.
(l + 41)**3*(l + 63)/7
Factor -3*w**2 - 63*w + 216.
-3*(w - 3)*(w + 24)
Let -4*d**4 - 40*d**3 - 60*d**2 + 40*d + 64 = 0. Calculate d.
-8, -2, -1, 1
Factor -155*d**5 + 610*d**4 + 40*d**3.
-5*d**3*(d - 4)*(31*d + 2)
Solve 2*h**3/11 + 2*h**2/11 - 12*h/11 = 0.
-3, 0, 2
Find j, given that 8*j**4/7 + 6*j**3/7 - 6*j**2 + 34*j/7 - 6/7 = 0.
-3, 1/4, 1
Factor 2*t**3 + 109*t**2 - 288*t - 171.
(t - 3)*(t + 57)*(2*t + 1)
Solve 4*w**2 + 360*w + 8100 = 0.
-45
Find i such that -i**3/8 - 431*i**2/8 - 5778*i + 5832 = 0.
-216, 1
Solve -j**4/2 + 25*j**3 - 625*j**2/2 = 0 for j.
0, 25
Factor -5*b**2 - 50*b.
-5*b*(b + 10)
Let -h**2/8 - 960*h - 1843200 = 0. Calculate h.
-3840
Suppose -2*o**5/21 - 20*o**4/21 + 4*o**3 + 64*o**2/21 - 194*o/21 - 52/7 = 0. What is o?
-13, -1, 2, 3
Suppose 7*u**3/8 + 25*u**2/8 + 2*u - 3/2 = 0. What is u?
-2, 3/7
Suppose 2*h**4 + 32*h**3 + 58*h**2 + 28*h = 0. What is h?
-14, -1, 0
Find b, given that b**5/4 - 15*b**4/4 + 79*b**3/4 - 165*b**2/4 + 25*b = 0.
0, 1, 4, 5
Suppose i**3 + 4*i**2 - 140*i = 0. Calculate i.
-14, 0, 10
Factor -54