q - 16.
4*(q - 4)*(q + 1)
Factor 2*j**4/5 + 2*j**3/5 - 4*j**2/5.
2*j**2*(j - 1)*(j + 2)/5
Factor -4*f**5/5 - 32*f**4/5 - 24*f**3/5 + 32*f**2 - 20*f.
-4*f*(f - 1)**2*(f + 5)**2/5
Factor 8*f**3 + 84*f**2 - 44*f.
4*f*(f + 11)*(2*f - 1)
Determine a, given that 98*a**5/13 - 1120*a**4/13 + 1394*a**3/13 + 100*a**2/13 - 392*a/13 - 80/13 = 0.
-2/7, 1, 10
Factor n**2/4 + 7*n/4 - 2.
(n - 1)*(n + 8)/4
Solve 4*f**5/3 - 11*f**4/2 + 22*f**3/3 - 7*f**2/2 + f/3 = 0 for f.
0, 1/8, 1, 2
Determine v so that 18*v**4/13 - 86*v**3/13 + 34*v**2/13 + 174*v/13 + 36/13 = 0.
-1, -2/9, 3
Suppose 2*q**4/11 + 4*q**3/11 + 2*q**2/11 = 0. What is q?
-1, 0
Factor -z**2/7 - 2130*z/7 - 1134225/7.
-(z + 1065)**2/7
Suppose -10*l**4/11 + 76*l**3/11 - 98*l**2/11 + 8*l/11 + 24/11 = 0. Calculate l.
-2/5, 1, 6
Let -4*s**3 + 1136*s**2 + 2284*s + 1144 = 0. What is s?
-1, 286
Suppose 5*t**2 + 20890*t + 21819605 = 0. Calculate t.
-2089
What is o in -5*o**4 + 166*o**3 + 137*o**2 - 34*o = 0?
-1, 0, 1/5, 34
Let -r**3 - 24*r**2 + 25*r = 0. Calculate r.
-25, 0, 1
Let -50*c**3/3 - 13600*c**2/3 + 8*c/3 + 2176/3 = 0. Calculate c.
-272, -2/5, 2/5
Let -27*b**2/5 + 10401*b/5 - 462 = 0. What is b?
2/9, 385
Find l, given that -3*l**3 + 30*l**2 + 225*l = 0.
-5, 0, 15
Factor 2*c**2/5 + 428*c/5 + 22898/5.
2*(c + 107)**2/5
Solve 3*c**5 + 87*c**4 + 81*c**3 - 87*c**2 - 84*c = 0.
-28, -1, 0, 1
Determine j so that 21*j**3 - 48*j**2 + 33*j - 6 = 0.
2/7, 1
Find t such that t**3/3 + 3*t**2 + 23*t/3 + 5 = 0.
-5, -3, -1
Solve 3*g**4/2 - 15*g**3 + 27*g**2/2 = 0 for g.
0, 1, 9
What is z in -z**5 - 19*z**4 - 51*z**3 - 49*z**2 - 16*z = 0?
-16, -1, 0
Suppose -5*u**2 + 45*u - 90 = 0. What is u?
3, 6
Let -3*g**2 + 327*g - 954 = 0. Calculate g.
3, 106
Suppose 24*c**3 + 69*c**2 + 42*c = 0. Calculate c.
-2, -7/8, 0
Suppose 2*n**5 + 20*n**4 + 42*n**3 - 8*n**2 - 56*n = 0. What is n?
-7, -2, 0, 1
Find x such that 2*x**5 + 184*x**4 - 186*x**3 = 0.
-93, 0, 1
Determine y, given that -y**5/4 + 10*y**4 - 21*y**3/4 - 377*y**2/2 + 517*y - 390 = 0.
-5, 2, 39
Find r such that 5*r**4 + 5*r**3 - 30*r**2 - 20*r + 40 = 0.
-2, 1, 2
Solve -5*w**4 + 65*w**3 + 415*w**2 + 615*w + 270 = 0 for w.
-3, -1, 18
Factor 2*w**3/23 - 20*w**2/23 + 54*w/23 - 36/23.
2*(w - 6)*(w - 3)*(w - 1)/23
Factor 3*n**4 + 42*n**3 - 45*n**2.
3*n**2*(n - 1)*(n + 15)
Solve -3*y**3/7 + 24*y**2/7 - 9*y + 54/7 = 0.
2, 3
Find m such that 55*m**5/2 - 61*m**4 - 35*m**3/2 + 65*m**2 - 10*m - 4 = 0.
-1, -2/11, 2/5, 1, 2
Factor d**3 + 3*d**2 - 10*d - 24.
(d - 3)*(d + 2)*(d + 4)
Suppose 5*p**5/3 - 5*p**3/3 = 0. Calculate p.
-1, 0, 1
Factor -v**3/2 + 3*v**2 - 3*v/2 - 5.
-(v - 5)*(v - 2)*(v + 1)/2
Let -j**3 + 231*j**2 - 459*j + 229 = 0. Calculate j.
1, 229
Solve -2*h**5/9 - 10*h**4/9 + 2*h**3/3 + 34*h**2/9 + 20*h/9 = 0.
-5, -1, 0, 2
Factor -p**2/4 + 5*p - 9.
-(p - 18)*(p - 2)/4
Let 2*l**5/5 - 72*l**4/5 + 648*l**3/5 = 0. What is l?
0, 18
Find v such that 10*v**2 - 26*v + 16 = 0.
1, 8/5
Find a, given that -2*a**3/5 + 4718*a**2/5 = 0.
0, 2359
Factor 5*d**3 + 15*d**2 - 90*d.
5*d*(d - 3)*(d + 6)
Determine p, given that -p**4/8 + 3*p**3/8 + p**2 - 3*p/2 - 2 = 0.
-2, -1, 2, 4
Solve 4*o**4 - 11088*o**3 + 11525976*o**2 - 5325000912*o + 922556408004 = 0 for o.
693
Let 2*c**2 - 140*c + 2450 = 0. Calculate c.
35
Factor u**2/9 - 13*u/3 - 82/9.
(u - 41)*(u + 2)/9
Determine c, given that c**5/10 + 127*c**4/10 + 3551*c**3/10 - 31423*c**2/10 = 0.
-67, 0, 7
Suppose -2*u**3/9 - 4*u**2/9 = 0. Calculate u.
-2, 0
Factor -4*x**5 - 11*x**4 + 3*x**3.
-x**3*(x + 3)*(4*x - 1)
Determine f, given that f**4/10 + 5*f**3 + 757*f**2/10 + 330*f + 2178/5 = 0.
-22, -3
Factor -2*f**4/9 + 44*f**3/9 - 32*f**2 + 256*f/9 + 2048/9.
-2*(f - 8)**3*(f + 2)/9
Factor y**4/7 - y**3 - 139*y**2/7 + 295*y/7 - 150/7.
(y - 15)*(y - 1)**2*(y + 10)/7
Solve 3*u**2 - 1107*u - 4476 = 0 for u.
-4, 373
Factor -4*m**5 + 12*m**3 - 8*m**2.
-4*m**2*(m - 1)**2*(m + 2)
Factor -a**2 - 198*a - 392.
-(a + 2)*(a + 196)
Factor -w**3/4 + 11*w**2/2 - 19*w + 18.
-(w - 18)*(w - 2)**2/4
Let -26*m**4 + 60*m**3 + 166*m**2 + 48*m - 32 = 0. Calculate m.
-1, 4/13, 4
Find n, given that 3*n**4 - 42*n**3 + 144*n**2 + 42*n - 147 = 0.
-1, 1, 7
Suppose 2*x**5 + 16*x**4 - 2*x**3 - 16*x**2 = 0. What is x?
-8, -1, 0, 1
Solve -4*p**2 + 472*p - 468 = 0.
1, 117
Find a, given that -64*a**4 + 708*a**3 - 2540*a**2 + 3036*a - 180 = 0.
1/16, 3, 5
Solve 3*j**3/7 - 255*j**2/7 - 3*j/7 + 255/7 = 0.
-1, 1, 85
Solve -z**4/6 + z**3 - 5*z**2/6 - 2*z = 0 for z.
-1, 0, 3, 4
Factor -h**5/9 + 4*h**3/9 + 2*h**2/9 - h/3 - 2/9.
-(h - 2)*(h - 1)*(h + 1)**3/9
Factor -4*g**2 + 2072*g - 268324.
-4*(g - 259)**2
Factor -6*v**3/7 - 72*v**2/7 + 186*v/7 + 36.
-6*(v - 3)*(v + 1)*(v + 14)/7
Let 441*h**3 + 3885*h**2 - 752*h + 36 = 0. Calculate h.
-9, 2/21
Suppose y**5/2 + 9*y**4/2 - 13*y**3/2 - 29*y**2/2 + 6*y + 10 = 0. Calculate y.
-10, -1, 1, 2
Solve q**4/3 - 4*q**2/3 = 0.
-2, 0, 2
Factor -v**2 - 11*v + 102.
-(v - 6)*(v + 17)
Factor 3*z**4/2 + 9*z**3/2 - 132*z**2.
3*z**2*(z - 8)*(z + 11)/2
Suppose 4*o**4 + 652*o**3 + 1932*o**2 + 1924*o + 640 = 0. What is o?
-160, -1
Factor -2*c**4/5 - 22*c**3/5 - 14*c**2 - 10*c.
-2*c*(c + 1)*(c + 5)**2/5
Factor -3*f**3/2 - 552*f**2 - 2187*f/2 + 1647.
-3*(f - 1)*(f + 3)*(f + 366)/2
Suppose -108*z**3 + 768*z**2 + 560*z = 0. What is z?
-2/3, 0, 70/9
Find b such that -14*b**3 - 4*b**2 + 14*b + 4 = 0.
-1, -2/7, 1
Find v such that v**3 + 6*v**2 - v - 6 = 0.
-6, -1, 1
Factor s**4/4 + s**3 - 3*s**2/4 - 7*s/2 - 2.
(s - 2)*(s + 1)**2*(s + 4)/4
Determine o, given that 4*o**2/7 + 2768*o/7 + 2764/7 = 0.
-691, -1
Solve 5*g**4 + 165*g**3 + 295*g**2 - 465*g = 0.
-31, -3, 0, 1
Let 4*w**4 - 9*w**3 - 51*w**2 - 59*w - 21 = 0. What is w?
-1, 21/4
Factor -4*k**3/3 - k**2 + 121*k/3 - 10.
-(k - 5)*(k + 6)*(4*k - 1)/3
Factor -12*b**2 - 29*b/7 - 2/7.
-(4*b + 1)*(21*b + 2)/7
Factor -3*n**3/7 - 27*n**2/7 - 6*n/7 + 144/7.
-3*(n - 2)*(n + 3)*(n + 8)/7
Suppose -c**2/4 - 803*c/4 - 401/2 = 0. What is c?
-802, -1
Solve -v**5/3 + 2*v**4 - 13*v**3/3 + 4*v**2 - 4*v/3 = 0.
0, 1, 2
Factor -14*q**2/3 + 88*q/9 - 8/9.
-2*(q - 2)*(21*q - 2)/9
Factor -3*i**5 - 102*i**4 - 954*i**3 - 3888*i**2 - 7371*i - 5346.
-3*(i + 3)**4*(i + 22)
Let 121*w**5/3 + 286*w**4/3 - 413*w**3 - 1928*w**2/3 - 572*w/3 - 16 = 0. Calculate w.
-4, -1, -2/11, 3
Determine w, given that -30*w**5 - 717*w**4 - 1854*w**3 - 513*w**2 + 1134*w = 0.
-21, -2, -3/2, 0, 3/5
Factor -4*r**4 + 8*r**3 + 60*r**2 + 16*r - 80.
-4*(r - 5)*(r - 1)*(r + 2)**2
Solve 2*q**2 + 916*q + 104882 = 0.
-229
Determine f so that -2*f**2 - 1684*f - 354482 = 0.
-421
Find q, given that -2*q**4/3 - 1448*q**3/3 - 87844*q**2 - 522728*q/3 - 260642/3 = 0.
-361, -1
Factor 2*n**2 - 2846*n + 2844.
2*(n - 1422)*(n - 1)
Determine i so that 5*i**2 - 4000*i + 800000 = 0.
400
Factor 5*d**4/4 - 50*d**3 + 500*d**2.
5*d**2*(d - 20)**2/4
Determine k, given that -98*k**4 - 152740*k**3 + 65526*k**2 + 74840*k + 12472 = 0.
-1559, -2/7, 1
Find v, given that 4*v**3 - 15900*v**2 + 15808572*v - 15792676 = 0.
1, 1987
Factor 5*q**5 - 15*q**4 - 30*q**3 + 40*q**2.
5*q**2*(q - 4)*(q - 1)*(q + 2)
Factor r**3 - 19*r**2/2 - 44*r - 39/2.
(r - 13)*(r + 3)*(2*r + 1)/2
Determine z so that -27*z**2/7 + 558*z/7 - 2883/7 = 0.
31/3
What is f in f**2 + 350*f + 30625 = 0?
-175
Suppose 85*f**2 - 10*f = 0. Calculate f.
0, 2/17
Factor -12*n**4 - 45*n**3 - 24*n**2 + 9*n.
-3*n*(n + 1)*(n + 3)*(4*n - 1)
Determine z, given that -4*z**5 + 20*z**4 + 4*z**3 - 68*z**2 - 48*z = 0.
-1, 0, 3, 4
Suppose -5*u**4 - 45*u**3/4 + 155*u**2/2 + 180*u + 40 = 0. Calculate u.
-4, -2, -1/4, 4
Determine a, given that 3*a**5/4 - 3*a**4/2 - 33*a**3/4 + 3*a**2 + 21*a + 12 = 0.
-2, -1, 2, 4
Factor -2*v**2/9 + 16*v/9 + 40/9.
-2*(v - 10)*(v + 2)/9
Factor -z**3/2 + 169*z**2 - 14110*z - 28900.
-(z - 170)**2*(z + 2)/2
Find f, given that -4*f**2 + 52*f = 0.
0, 13
Factor 2*n**2/3 + 612*n - 1838/3.
2*(n - 1)*(n + 919)/3
Factor -125*z**3 - 3825*z**2 + 18645*z - 21175.
-5*(z + 35)*(5*z - 11)**2
Factor w**3/6 - 111*w**2/2 + 9405*w/2 - 27225/2.
(w - 165)**2*(w - 3)/6
Let 392*n**5 - 1512*n**4 - 4534*n**3 - 2976*n**2 - 358*n - 12 = 0. Calculate n.
-1, -1/14, 6
Factor 2*x**2/7 + 8*x/7 - 22.
2*(x - 7)*(x + 11)/7
Factor m**3/3 + 7*m**2/3 + 2*m.
m*(m + 1)*(m + 6)/3
Suppose -2*u**4/7 - 92*u**3/7 + 42*u**2 - 8*u/7 - 56 = 0. Calculate u.
-49, -1, 2
Suppose 2022*r**3 + 1