, 1, 3
Factor -5*v**3 - 23315*v**2 - 27191115*v - 27167805.
-5*(v + 1)*(v + 2331)**2
Suppose -2*b**4/11 - 4240*b**3/11 - 2247198*b**2/11 + 4240*b/11 + 2247200/11 = 0. Calculate b.
-1060, -1, 1
Factor -3*s**5 + 174*s**4 - 3549*s**3 + 28350*s**2 - 55404*s - 87480.
-3*(s - 18)**3*(s - 5)*(s + 1)
Determine c, given that -c**4 - 4*c**3 + 27*c**2 + 34*c - 56 = 0.
-7, -2, 1, 4
Solve m**2 - 126*m - 127 = 0 for m.
-1, 127
What is q in 4*q**2 - 204*q + 392 = 0?
2, 49
Factor 2*a**2 + 4344*a + 4342.
2*(a + 1)*(a + 2171)
Let 2*v**2/3 + 98*v/3 + 352 = 0. Calculate v.
-33, -16
Factor 3*p**4/4 - 171*p**3 + 19149*p**2/2 + 19665*p + 39675/4.
3*(p - 115)**2*(p + 1)**2/4
What is k in 2*k**4/9 - 32*k**3/9 - 484*k**2/9 + 544*k + 5202 = 0?
-9, 17
What is j in 3*j**2/5 - 39*j/5 - 252 = 0?
-15, 28
Let 3*b**2/7 - 366*b/7 + 11163/7 = 0. Calculate b.
61
Let 2*h**2/3 - 286*h/7 + 244/21 = 0. Calculate h.
2/7, 61
Factor 4*j**3 - 146*j**2 + 346*j - 204.
2*(j - 34)*(j - 1)*(2*j - 3)
Let -8*k**5/13 - 198*k**4/13 - 326*k**3/13 - 90*k**2/13 + 46*k/13 = 0. Calculate k.
-23, -1, 0, 1/4
Factor 47*w**3 - 374*w**2 - 16*w.
w*(w - 8)*(47*w + 2)
Suppose 434*t**2/3 + 40*t/3 - 8 = 0. What is t?
-2/7, 6/31
What is q in 5*q**2 - 735*q = 0?
0, 147
Find o, given that 5*o**2 + 3210*o + 3205 = 0.
-641, -1
Factor 4*s**2 + 232*s - 236.
4*(s - 1)*(s + 59)
Let -l**3/5 + 84*l**2/5 - 2352*l/5 + 21952/5 = 0. Calculate l.
28
Factor 245*l**3/4 + 1785*l**2/4 + 780*l + 400.
5*(l + 5)*(7*l + 8)**2/4
Factor 3*k**2 + 1446*k + 174243.
3*(k + 241)**2
Let -2*w**4/3 + 2*w**2/3 = 0. What is w?
-1, 0, 1
Find j such that 3*j**4/4 - 23*j**3 + 231*j**2/4 - 99*j/2 + 14 = 0.
2/3, 1, 28
Solve -2*i**2/7 - 792*i/7 - 6208/7 = 0.
-388, -8
Solve 2*t**4/5 - 1148*t**3/15 + 18554*t**2/5 - 4712*t - 14440/3 = 0.
-2/3, 2, 95
Factor -4*a**2 + 104*a.
-4*a*(a - 26)
Let 9*n**3/2 - 11*n**2/2 - 8*n + 2 = 0. Calculate n.
-1, 2/9, 2
Let -y**2 + 9*y - 8 = 0. What is y?
1, 8
Factor -4*z**3/7 - 1972*z**2/7 - 244032*z/7 - 242064/7.
-4*(z + 1)*(z + 246)**2/7
Factor -4*r**4 - 28*r**3 - 60*r**2 - 36*r.
-4*r*(r + 1)*(r + 3)**2
Find q, given that -3*q**3 + 111*q**2 + 1383*q + 1269 = 0.
-9, -1, 47
Let -y**3 - 3*y**2 + 9*y - 5 = 0. Calculate y.
-5, 1
Factor 5*x**2 + 755*x + 10200.
5*(x + 15)*(x + 136)
Solve 2*m**4 - 16*m**3 - 28*m**2 + 96*m - 54 = 0 for m.
-3, 1, 9
Factor 4*m**3/5 - 12*m**2/5 - 16*m/5.
4*m*(m - 4)*(m + 1)/5
Solve -j**3/3 + 221*j**2 - 36520*j - 110224/3 = 0.
-1, 332
Solve -3*o**4/5 + 399*o**3/5 - 1179*o**2/5 + 1173*o/5 - 78 = 0.
1, 130
Suppose 4*x**4 - 8*x**3 - 16*x**2 + 8*x + 12 = 0. What is x?
-1, 1, 3
What is g in g**3 - 21*g**2 - 49*g + 69 = 0?
-3, 1, 23
Let 5*y**2 + 51970*y + 135044045 = 0. What is y?
-5197
Factor -30*t**2/11 - 784*t/11 - 104/11.
-2*(t + 26)*(15*t + 2)/11
Factor 3*c**3/5 + 573*c**2/5.
3*c**2*(c + 191)/5
What is l in 2*l**4 - 26*l**3 + 82*l**2 - 94*l + 36 = 0?
1, 2, 9
Find d such that 338*d**2/9 + 104*d/9 + 8/9 = 0.
-2/13
Factor -2*f**2/3 + 4*f/3 + 70/3.
-2*(f - 7)*(f + 5)/3
Factor -22*m**2/3 - 116*m/3 - 10.
-2*(m + 5)*(11*m + 3)/3
Find g such that -5*g**5 + 5*g**4 + 15*g**3 - 25*g**2 + 10*g = 0.
-2, 0, 1
Suppose 4*l**5 - 20*l**4 - 8*l**3 + 40*l**2 + 4*l - 20 = 0. Calculate l.
-1, 1, 5
Factor 5*j**2 - 63500*j + 201612500.
5*(j - 6350)**2
Factor 2*p**3 - 48*p**2 + 90*p - 44.
2*(p - 22)*(p - 1)**2
Suppose -4*j**4 + 2*j**3 + 22*j**2 + 22*j + 6 = 0. What is j?
-1, -1/2, 3
Factor -2*q**4 + 94*q**3 - 182*q**2 + 90*q.
-2*q*(q - 45)*(q - 1)**2
Factor x**3/3 + 11*x**2/3 + 40*x/3 + 16.
(x + 3)*(x + 4)**2/3
Factor -4*n**3 - 600*n**2 - 7812*n - 26656.
-4*(n + 7)**2*(n + 136)
Suppose -2*f**3/3 + 4*f**2/3 + 110*f/3 - 112/3 = 0. What is f?
-7, 1, 8
Find g, given that 14*g**3 - 10*g**2 - 172*g - 48 = 0.
-3, -2/7, 4
What is c in 2*c**5 + 20*c**4 - 500*c**2 - 1250*c = 0?
-5, 0, 5
What is z in 28*z**2 + 6768*z - 1936 = 0?
-242, 2/7
Factor -5*w**5 + 3545*w**4 - 633650*w**3 + 1879730*w**2 - 1872665*w + 623045.
-5*(w - 353)**2*(w - 1)**3
Factor -4*n**3 - 24*n**2 - 36*n - 16.
-4*(n + 1)**2*(n + 4)
Factor 2*t**5 + 18*t**4 + 48*t**3 + 40*t**2.
2*t**2*(t + 2)**2*(t + 5)
Factor n**5/3 + 7*n**4/3 + 5*n**3/3 - 7*n**2/3 - 2*n.
n*(n - 1)*(n + 1)**2*(n + 6)/3
Determine w so that 2*w**4 - 32*w**3 - 292*w**2 - 672*w - 414 = 0.
-3, -1, 23
Factor -2*v**4/9 + 4*v**2/3 - 16*v/9 + 2/3.
-2*(v - 1)**3*(v + 3)/9
Factor 4*j**2 - 116*j - 528.
4*(j - 33)*(j + 4)
Find z, given that -2*z**4/3 - 10*z**3/3 - 2*z**2 + 10*z/3 + 8/3 = 0.
-4, -1, 1
Find g such that -2*g**3/15 - 926*g**2/15 - 21344*g/3 + 107648/15 = 0.
-232, 1
Determine n, given that -2*n**3/11 + 100*n**2/11 - 672*n/11 = 0.
0, 8, 42
Factor -170*p**2/7 - 338*p/7 + 4/7.
-2*(p + 2)*(85*p - 1)/7
Factor -12*i**3 + 69*i**2 + 1110*i + 273.
-3*(i - 13)*(i + 7)*(4*i + 1)
Find h such that -4*h**2 - 216*h + 448 = 0.
-56, 2
Factor 2*d**3/5 + 88*d**2/5 + 768*d/5 - 4608/5.
2*(d - 4)*(d + 24)**2/5
Factor 5*r**4 + 2685*r**3 + 485865*r**2 + 30545775*r + 166356990.
5*(r + 6)*(r + 177)**3
Factor -2*u**3 + 12*u**2 + 30*u + 16.
-2*(u - 8)*(u + 1)**2
Find k such that -5*k**4/6 + k**3/2 + 26*k**2/3 + 10*k + 8/3 = 0.
-2, -1, -2/5, 4
Let 14*j**2 + 30*j - 36 = 0. Calculate j.
-3, 6/7
Determine i, given that -4*i**3 + 96*i**2 - 612*i + 520 = 0.
1, 10, 13
Factor -l**2/4 - 717*l/2 - 514089/4.
-(l + 717)**2/4
Factor -w**2/2 + 44*w - 968.
-(w - 44)**2/2
Factor -n**4/7 + 2*n**3/7 + n**2 + 4*n/7.
-n*(n - 4)*(n + 1)**2/7
Factor -q**2 - 56*q - 55.
-(q + 1)*(q + 55)
Determine s so that -s**3/2 + 14*s**2 + 30*s = 0.
-2, 0, 30
Determine r, given that -3*r**5 + 22*r**4 + 48*r**3 - 22*r**2 - 45*r = 0.
-5/3, -1, 0, 1, 9
Factor 2*o**4/7 - 4*o**3/7 - 46*o**2/7 + 48*o/7 + 288/7.
2*(o - 4)**2*(o + 3)**2/7
Factor -4*f**2 - 236*f + 1280.
-4*(f - 5)*(f + 64)
Factor i**5/7 - i**4/7 - i**3/7 + i**2/7.
i**2*(i - 1)**2*(i + 1)/7
Factor 2*b**2 - 52*b - 54.
2*(b - 27)*(b + 1)
Factor -4*i**3 + 68*i**2 - 124*i + 60.
-4*(i - 15)*(i - 1)**2
Let 2*r**5/9 - 56*r**4/9 + 104*r**3/9 = 0. What is r?
0, 2, 26
Factor -d**2/4 + 89*d/2 - 7921/4.
-(d - 89)**2/4
Factor -4*a**2 + 24*a.
-4*a*(a - 6)
Factor x**5 + 9*x**4 + 31*x**3 + 51*x**2 + 40*x + 12.
(x + 1)**2*(x + 2)**2*(x + 3)
Let 2*i**2/7 + 22*i/7 + 36/7 = 0. Calculate i.
-9, -2
Suppose 4*k**3 + 8*k**2 - 44*k - 48 = 0. Calculate k.
-4, -1, 3
Factor 3*n**4 + 27*n**3 - 78*n**2 - 108*n + 264.
3*(n - 2)**2*(n + 2)*(n + 11)
Let z**3 + 21*z**2 + 99*z - 121 = 0. What is z?
-11, 1
Factor -y**2/8 - 4*y - 14.
-(y + 4)*(y + 28)/8
Factor z**2 - 68*z + 1107.
(z - 41)*(z - 27)
Factor -5*v**3 + 240*v**2 - 3300*v + 9680.
-5*(v - 22)**2*(v - 4)
Let -4*n**2 + 160*n - 304 = 0. Calculate n.
2, 38
Factor 4*g**2 - 7116*g - 7120.
4*(g - 1780)*(g + 1)
Suppose -i**2/4 - 7*i - 13 = 0. What is i?
-26, -2
Factor -4*l**3 - 64*l**2 - 308*l - 392.
-4*(l + 2)*(l + 7)**2
Factor 3*k**5 - 57*k**4 + 390*k**3 - 1050*k**2 + 375*k + 1875.
3*(k - 5)**4*(k + 1)
Factor 4*s**4 - 492*s**3 - 8896*s**2.
4*s**2*(s - 139)*(s + 16)
Suppose -r**5/3 + 4*r**4 - 9*r**3 - 4*r**2/3 + 12*r = 0. Calculate r.
-1, 0, 2, 9
Determine z so that 3*z**4 - 24*z**3 - 219*z**2 - 444*z - 252 = 0.
-3, -2, -1, 14
Solve -r**5/9 - 49*r**4/9 - 575*r**3/9 + 625*r**2/9 = 0 for r.
-25, 0, 1
Determine g so that 2*g**5/21 - 34*g**4/21 + 82*g**3/21 + 274*g**2/21 + 52*g/7 = 0.
-1, 0, 6, 13
Find o such that -3*o**2/2 + 15*o - 63/2 = 0.
3, 7
Determine y so that -6*y**4 + 64*y**3 + 172*y**2 + 128*y + 26 = 0.
-1, -1/3, 13
Solve 5*x**3 - 22805*x**2 + 91160*x - 91140 = 0 for x.
2, 4557
Suppose -6*m**3/5 + 3*m**2/5 + 24*m/5 + 3 = 0. Calculate m.
-1, 5/2
Let 2*p**5/5 + 2*p**4 + 4*p**3/5 - 8*p**2 - 48*p/5 = 0. Calculate p.
-3, -2, 0, 2
Determine r, given that -2*r**4 - 102*r**3 - 1274*r**2 - 5586*r - 6860 = 0.
-35, -7, -2
Suppose -4*m**3 + 388*m**2 - 9964*m + 26508 = 0. What is m?
3, 47
Suppose d**2/4 - 35*d/4 + 33/2 = 0. Calculate d.
2, 33
Suppose -2*q**3/7 + 68*q**2/7 = 0. Calculate q.
0, 34
Suppose m**5 - 139*m**4 - 711*m**3 - 1289*m**2 - 1006*m - 288 = 0. Calculate m.
-2, -1, 144
Find i such that i**4/6 + i**3/3 - 25*i**2/6 - i/3 + 4 = 0.
-6, -1, 1, 4
Factor -5*h**5 - 5*h**4 + 165*h**3 + 405*h**2 - 540*h - 1620.
-5*(h - 6)*(h - 2)*(h + 3)**3
Find s such that 2*s**4/7 + 6*s**3/7 + 4*s**2/7 = 0.
-2, -1, 0
Let y**3/6 - 16*y**2/3 - 35*y/6 + 11 = 0. Calculate y.
-2, 1, 33
Let -y**4/4 - 401*y**3/4 