2/7 - 19*b = 0. Calculate b.
-133, 0
Factor 3*j**3/4 - 18*j**2 + 69*j/4.
3*j*(j - 23)*(j - 1)/4
Factor -243*c**2/4 - 9*c/2 - 1/12.
-(27*c + 1)**2/12
Let -2*k**2/9 + 644*k/9 = 0. Calculate k.
0, 322
Factor 2*l**5 - 6*l**3 - 4*l**2.
2*l**2*(l - 2)*(l + 1)**2
Determine c so that c**2/4 - 15*c/2 + 189/4 = 0.
9, 21
Solve -12*r**4 + 160*r**3 + 292*r**2 + 120*r = 0.
-1, -2/3, 0, 15
Factor 54*w**4 - 1053*w**3 - 1071*w**2/2 - 359*w/4 - 5.
(w - 20)*(6*w + 1)**3/4
Solve -1072*p**3/7 - 1324*p**2/7 - 248*p/7 + 4/7 = 0 for p.
-1, -1/4, 1/67
Let -p**3/4 + 55*p**2/2 + 111*p/4 = 0. What is p?
-1, 0, 111
Factor 2*p**3/13 - 296*p**2/13 + 10952*p/13.
2*p*(p - 74)**2/13
Suppose -5*n**5/12 - 7*n**4/12 - n**3/6 = 0. Calculate n.
-1, -2/5, 0
Factor -3*n**5 - 60*n**4 - 252*n**3 - 426*n**2 - 321*n - 90.
-3*(n + 1)**3*(n + 2)*(n + 15)
Let -2*h**4 - 88*h**3 + 576*h**2 - 1184*h + 800 = 0. What is h?
-50, 2
Factor -y**3/7 - 552*y**2/7 + 1107*y/7 - 554/7.
-(y - 1)**2*(y + 554)/7
Factor 4*k**3 - 176*k**2 - 180*k.
4*k*(k - 45)*(k + 1)
Factor -2*y**3/7 - 132*y**2/7 - 2610*y/7 - 13456/7.
-2*(y + 8)*(y + 29)**2/7
Let -5*x**5 + 170*x**4 + 1565*x**3 + 4690*x**2 + 5820*x + 2520 = 0. Calculate x.
-3, -2, -1, 42
Factor -3*f**4 - 5424*f**3 - 3272472*f**2 - 661024896*f - 1309003248.
-3*(f + 2)*(f + 602)**3
Factor 3825*g**3/2 + 3210*g**2 + 1464*g + 96.
3*(5*g + 4)**2*(51*g + 4)/2
Find l, given that 2*l**5 - 48*l**4 + 46*l**3 = 0.
0, 1, 23
Factor 5*d**4 + 120*d**3 - 1750*d**2 + 6000*d - 4375.
5*(d - 5)**2*(d - 1)*(d + 35)
Solve -2*r**2 - 44*r/5 - 16/5 = 0.
-4, -2/5
Find y, given that 3*y**3 + 1998*y**2 + 443556*y + 32823144 = 0.
-222
Find a such that -108*a**3 + 900*a**2 - 291*a + 24 = 0.
1/6, 8
Let -26*y**5 - 5*y**4/2 + 27*y**3 + 5*y**2/2 - y = 0. Calculate y.
-1, -1/4, 0, 2/13, 1
Let 3*r**4/5 + 69*r**3/5 + 333*r**2/5 + 459*r/5 = 0. Calculate r.
-17, -3, 0
Determine f, given that 4*f**2/9 - 3232*f/9 + 652864/9 = 0.
404
Factor -2*k**3 - 12*k**2 - 18*k.
-2*k*(k + 3)**2
Solve -2*u**4/5 - 2*u**3 + 2*u**2/5 + 2*u = 0 for u.
-5, -1, 0, 1
Factor 4*t**3 - 40*t**2 - 228*t + 936.
4*(t - 13)*(t - 3)*(t + 6)
Factor r**2/3 + 97*r/3 - 98/3.
(r - 1)*(r + 98)/3
Let -u**3/4 - u**2/4 + 481*u/4 + 4225/4 = 0. Calculate u.
-13, 25
Let -v**3 - 432*v**2 - 431*v = 0. What is v?
-431, -1, 0
Solve -21*h**5/4 - 51*h**4/4 + 4707*h**3/4 + 2067*h**2/4 - 2343*h/2 - 504 = 0 for h.
-16, -1, -3/7, 1, 14
Solve 10*j**5 + 85*j**4 - 710*j**3 + 845*j**2 + 50*j - 280 = 0 for j.
-14, -1/2, 1, 4
Factor -2*u**3 - 80*u**2 - 1064*u - 4704.
-2*(u + 12)*(u + 14)**2
Factor 2*g**3/3 + 508*g**2/3 + 2008*g/3 + 2000/3.
2*(g + 2)**2*(g + 250)/3
Factor -3267*y**4 + 15543*y**3 + 3912*y**2 + 240*y.
-3*y*(y - 5)*(33*y + 4)**2
Find u, given that 5*u**5 + 30*u**4 + 10*u**3 - 80*u**2 - 15*u + 50 = 0.
-5, -2, -1, 1
Find x such that -2*x**5 + 22*x**4 - 66*x**3 + 26*x**2 + 68*x - 48 = 0.
-1, 1, 4, 6
What is r in 5*r**2 - 30*r - 200 = 0?
-4, 10
Factor -4*n**3 + 360*n**2 - 708*n + 352.
-4*(n - 88)*(n - 1)**2
Determine q, given that 3*q**3/7 - 8*q**2/7 - 33*q/7 - 10/7 = 0.
-2, -1/3, 5
Factor -2*w**2/3 - 2*w/3 + 8.
-2*(w - 3)*(w + 4)/3
Factor -27*g**2/4 - 447*g/4 + 51.
-3*(g + 17)*(9*g - 4)/4
Factor n**3 - 245*n**2 + 487*n - 243.
(n - 243)*(n - 1)**2
Factor k**5/5 + k**4 - 6*k**3 + 10*k**2 - 7*k + 9/5.
(k - 1)**4*(k + 9)/5
Factor 6*q**2/5 - 7*q/5 + 2/5.
(2*q - 1)*(3*q - 2)/5
Suppose -3*c**2 - 126*c - 1323 = 0. What is c?
-21
Factor -5*r**2/9 - 253*r/3 + 102.
-(r + 153)*(5*r - 6)/9
Factor 5*c**4 - 660*c**3 + 29060*c**2 - 480480*c + 2649920.
5*(c - 52)**2*(c - 14)**2
Suppose -18*z**4/5 + 328*z**3/5 - 1242*z**2/5 - 1252*z/5 + 336/5 = 0. What is z?
-1, 2/9, 7, 12
Let -2*c**2 + 28*c - 90 = 0. What is c?
5, 9
What is o in -2*o**4/3 - 292*o**3 - 95920*o**2/3 + 292*o + 31974 = 0?
-219, -1, 1
Factor 2*d**5 + 8*d**4 + 10*d**3 + 4*d**2.
2*d**2*(d + 1)**2*(d + 2)
Factor 15*u**5 - 57*u**4 - 12*u**3.
3*u**3*(u - 4)*(5*u + 1)
Factor -g**4/7 + 405*g**3/7 + 1221*g**2/7 + 1223*g/7 + 408/7.
-(g - 408)*(g + 1)**3/7
Factor -4*x**5 - 16*x**4 - 12*x**3.
-4*x**3*(x + 1)*(x + 3)
Suppose 13*j**3/6 - 645*j**2/2 - 704*j - 302/3 = 0. Calculate j.
-2, -2/13, 151
Factor h**5 - 6*h**4 - 10*h**3 + 16*h**2 + 33*h + 14.
(h - 7)*(h - 2)*(h + 1)**3
Solve -5*z**3 - 450*z**2 - 1735*z - 1290 = 0.
-86, -3, -1
Determine z so that 4*z**2/3 + 2237*z/3 - 560 = 0.
-560, 3/4
Factor -4*b**2 + 524*b.
-4*b*(b - 131)
Factor 2*f**2 - 40*f - 42.
2*(f - 21)*(f + 1)
Factor -2*b**2 + 2*b.
-2*b*(b - 1)
Solve 40*h**2 - 815*h + 300 = 0.
3/8, 20
Solve b**4/6 + 9*b**3/2 - 16*b**2/3 - 18*b + 56/3 = 0.
-28, -2, 1, 2
Suppose 18*q**4/7 + 96*q**3 - 2668*q**2/7 + 1552*q/7 - 246/7 = 0. What is q?
-41, 1/3, 3
Factor 5*s**4 - 30*s**3 - 40*s**2 + 30*s + 35.
5*(s - 7)*(s - 1)*(s + 1)**2
Suppose -y**4 - 32*y**3 - 31*y**2 = 0. Calculate y.
-31, -1, 0
Factor -3*h**2/8 - 513*h/4 - 3051/8.
-3*(h + 3)*(h + 339)/8
Solve -4*p**3 - 72*p**2/7 - 44*p/7 = 0.
-11/7, -1, 0
Let -19*d**2 + d/4 = 0. Calculate d.
0, 1/76
Factor -2*c**4/5 - 732*c**3/5 - 89304*c**2/5 - 3631696*c/5.
-2*c*(c + 122)**3/5
Let 4*c**2 + 64*c - 644 = 0. Calculate c.
-23, 7
Factor -3*n**4 + 24*n**3 - 18*n**2 - 24*n + 21.
-3*(n - 7)*(n - 1)**2*(n + 1)
Factor l**4 - 7*l**3 - 8*l**2.
l**2*(l - 8)*(l + 1)
Factor 7*s**4 - 19*s**3 - 76*s**2 - 20*s.
s*(s - 5)*(s + 2)*(7*s + 2)
Solve 5*w**2 - 5*w - 30 = 0 for w.
-2, 3
Solve 2178*w**4/5 - 4488*w**3/5 - 6268*w**2/5 + 392*w/5 - 6/5 = 0.
-1, 1/33, 3
Factor -4*o**2 + 120*o - 116.
-4*(o - 29)*(o - 1)
Factor 2*g**3/5 + 34*g**2/5 + 88*g/5 + 56/5.
2*(g + 1)*(g + 2)*(g + 14)/5
Factor 5*x**2 + 1390*x + 96605.
5*(x + 139)**2
Factor 5*f**4/2 + 85*f**3/2 + 495*f**2/2 + 1215*f/2 + 540.
5*(f + 3)**3*(f + 8)/2
Solve 5*m**4 - 30210*m**3 + 45601985*m**2 + 91294620*m + 45662420 = 0 for m.
-1, 3022
Factor -3*r**5/4 - 3*r**4/2 + 9*r**3/4.
-3*r**3*(r - 1)*(r + 3)/4
Solve -7*m**5/5 - 6984*m**4/5 - 1741011*m**3/5 + 498002*m**2/5 = 0 for m.
-499, 0, 2/7
Solve -i**2/4 - 41*i - 1681 = 0.
-82
Factor -2*j**2 - 422*j - 420.
-2*(j + 1)*(j + 210)
What is y in 8*y**4/9 - 38*y**3/9 - 2*y**2 + 38*y/9 + 10/9 = 0?
-1, -1/4, 1, 5
Suppose 2*u**4/3 + 12*u**3 + 34*u**2/3 = 0. What is u?
-17, -1, 0
Factor -3*l**2/4 + 51*l/4 - 54.
-3*(l - 9)*(l - 8)/4
Suppose 2*m**3/5 + 14*m**2/5 + 8*m/5 - 24/5 = 0. Calculate m.
-6, -2, 1
Determine v, given that v**4/11 - 52*v**3/11 - 53*v**2/11 = 0.
-1, 0, 53
Let 4*s**5/3 - 8*s**4/3 - 8*s**3 + 16*s**2/3 + 52*s/3 + 8 = 0. Calculate s.
-1, 2, 3
Suppose 4*m**5/7 + m**4 - 3254*m**3/7 + 579*m**2 - 810*m/7 = 0. What is m?
-30, 0, 1/4, 1, 27
Determine r so that r**5/3 + 59*r**4/3 + 323*r**3/3 + 265*r**2/3 = 0.
-53, -5, -1, 0
Suppose -g**3 + 23*g**2 + 24*g = 0. What is g?
-1, 0, 24
Determine o, given that -o**2/2 - 23*o = 0.
-46, 0
Determine w, given that 2*w**3 - 2*w**2 - 2*w + 2 = 0.
-1, 1
Factor -5*s**4 - 25*s**3 + 250*s**2.
-5*s**2*(s - 5)*(s + 10)
Factor 4*j**3/5 - 8*j**2/5 - 16*j/5 + 32/5.
4*(j - 2)**2*(j + 2)/5
Suppose 4*q**4 + 4*q**3 - 84*q**2 - 4*q + 80 = 0. Calculate q.
-5, -1, 1, 4
Determine z so that -22*z**5/9 - 4*z**4/3 + 10*z**3/9 = 0.
-1, 0, 5/11
Solve -j**2/7 + 3*j/7 + 4/7 = 0 for j.
-1, 4
Let 245*u**5 + 665*u**4 + 275*u**3 - 565*u**2 - 520*u - 100 = 0. Calculate u.
-10/7, -1, -2/7, 1
Factor 2*j**3/7 - 30*j**2/7 + 54*j/7 - 26/7.
2*(j - 13)*(j - 1)**2/7
Factor 3*g**3 - 13779*g**2 + 21095649*g - 10765812873.
3*(g - 1531)**3
Factor 6*m**4/19 - 14*m**3/19 - 20*m**2/19.
2*m**2*(m + 1)*(3*m - 10)/19
Determine k so that -2*k**2 + 1032*k - 133128 = 0.
258
Factor 2*h**4/5 - 236*h**3/5 - 96*h**2.
2*h**2*(h - 120)*(h + 2)/5
Let 2*r**3 - 2406*r**2 + 964806*r - 128962402 = 0. What is r?
401
Find v such that -4*v**3/9 - 44*v**2/3 - 128*v - 1024/9 = 0.
-16, -1
Find s, given that 1638050*s**3 - 1648910*s**2 + 10878*s - 18 = 0.
3/905, 1
Factor 8*b**2 + 98*b + 24.
2*(b + 12)*(4*b + 1)
Determine p so that 2*p**4/3 + 14*p**3/3 - 2*p**2/3 - 14*p/3 = 0.
-7, -1, 0, 1
Let -2*q**4/9 + 34*q**3/9 - 124*q**2/9 + 32*q/9 + 64/3 = 0. What is q?
-1, 2, 4, 12
Factor v**2/4 - 3*v/4 - 9/2.
(v - 6)*(v + 3)/4
Factor -f**2/5 - f + 14/5.
-(f - 2)*(f + 7)/5
Solve 16*a**4 + 12*a**3 - 48*a**2 - 68*a - 24 = 0 for a.
-1, -3/4, 2
Factor -5*l**3 + 380*l**2 - 745*l + 370.
-5*(l - 74)*(l - 1)**2
Factor -18*t**4/17 - 2148*t**3/17 - 65498*t**2/17 - 84488*t/17 - 27848/1