l/7 - 722/7.
-2*(l - 19)**2/7
Solve -2*t**2/7 - 8*t/7 - 6/7 = 0.
-3, -1
Factor 5*w**2 + 2895*w + 2890.
5*(w + 1)*(w + 578)
Determine j, given that -5*j**5 - 40*j**4 - 105*j**3 - 110*j**2 - 40*j = 0.
-4, -2, -1, 0
Determine g so that 2*g**5 - 6*g**4 + 8*g**2 = 0.
-1, 0, 2
Factor 4*a**3 + 140*a**2 - 800*a.
4*a*(a - 5)*(a + 40)
Let 5*q**4 - 75*q**3 + 125*q**2 + 75*q - 130 = 0. Calculate q.
-1, 1, 2, 13
Factor -g**4/2 - 2*g**3 - 5*g**2/2 - g.
-g*(g + 1)**2*(g + 2)/2
Factor 2*h**2/19 + 240*h/19 + 6552/19.
2*(h + 42)*(h + 78)/19
Suppose 3*p**4 - 6*p**3 - 3*p**2 + 6*p = 0. Calculate p.
-1, 0, 1, 2
Factor -y**4 - 9*y**3 - 22*y**2 + 32.
-(y - 1)*(y + 2)*(y + 4)**2
Factor -3*b**3/5 - 6*b**2/5 + 24*b/5.
-3*b*(b - 2)*(b + 4)/5
Factor -12*x**3 + 4*x**2 + 12*x - 4.
-4*(x - 1)*(x + 1)*(3*x - 1)
What is t in -2*t**3 + 6*t**2 + 2*t - 6 = 0?
-1, 1, 3
Factor t**3/6 + 155*t**2/6 + 51*t.
t*(t + 2)*(t + 153)/6
Factor -18*g**5 + 6*g**4 + 76*g**3 + 12*g**2 - 90*g - 50.
-2*(g + 1)**3*(3*g - 5)**2
Let 8*r**5 - 90*r**4 + 94*r**3 + 70*r**2 - 102*r + 20 = 0. Calculate r.
-1, 1/4, 1, 10
Factor 5*n**3/8 - 483*n**2/8 + 143*n/4 + 24.
(n - 96)*(n - 1)*(5*n + 2)/8
Factor -v**4 + 324*v**3 + 4*v**2 - 1296*v.
-v*(v - 324)*(v - 2)*(v + 2)
Suppose 4*g**4 - 388*g**3 + 12672*g**2 - 143360*g + 131072 = 0. Calculate g.
1, 32
Let q**3/6 + 10*q**2 + 279*q/2 - 961/3 = 0. What is q?
-31, 2
Let -y**2/10 - 14*y/5 + 38 = 0. Calculate y.
-38, 10
Factor 3*k**5 - 18*k**4 + 33*k**3 - 6*k**2 - 36*k + 24.
3*(k - 2)**3*(k - 1)*(k + 1)
Determine n, given that -4*n**3 + 13*n**2 - 3*n = 0.
0, 1/4, 3
Factor 76*h**3/5 - 30*h**2 - 612*h/5 - 16/5.
2*(h - 4)*(h + 2)*(38*h + 1)/5
Suppose 12*g**4 + 812*g**3 - 304*g**2 - 2192*g - 1088 = 0. What is g?
-68, -1, -2/3, 2
Determine c so that -c**2/3 - 971*c/3 - 970/3 = 0.
-970, -1
Solve -15*l**5 - 1450*l**4 + 495*l**3 + 970*l**2 = 0 for l.
-97, -2/3, 0, 1
Let 2*v**4 - 248*v**3/9 + 826*v**2/9 + 196*v/9 = 0. What is v?
-2/9, 0, 7
Factor -n**2 + 32*n - 60.
-(n - 30)*(n - 2)
Factor 3*y**3/4 - 33*y**2/2 + 285*y/4 + 429/2.
3*(y - 13)*(y - 11)*(y + 2)/4
Factor q**5 + 2*q**4 + q**3.
q**3*(q + 1)**2
Solve 30*x**4/7 - 2*x**3 - 2*x**2 - 2*x/7 = 0 for x.
-1/3, -1/5, 0, 1
Factor 2*l**2 + 26*l - 28.
2*(l - 1)*(l + 14)
Suppose -4*v**4 + 12*v**3 + 28*v**2 - 60*v - 72 = 0. Calculate v.
-2, -1, 3
Factor -3*h**2 + 486*h.
-3*h*(h - 162)
Factor 5*i**2 + 195*i - 200.
5*(i - 1)*(i + 40)
Factor -2*j**4 + 42*j**3 - 270*j**2 + 486*j.
-2*j*(j - 9)**2*(j - 3)
Factor p**2/5 - 6*p/5 - 27/5.
(p - 9)*(p + 3)/5
Factor v**2/10 + 3*v/10 - 7.
(v - 7)*(v + 10)/10
Factor -2*q**3/5 - 26*q**2/5 - 12*q.
-2*q*(q + 3)*(q + 10)/5
Factor -r**3/3 - 10*r**2/3 + 4*r/3 + 40/3.
-(r - 2)*(r + 2)*(r + 10)/3
Solve 4*r**5 - 24*r**4 - 144*r**3 + 736*r**2 - 768*r = 0.
-6, 0, 2, 8
Factor 2*k**2/9 - 142*k/3.
2*k*(k - 213)/9
Suppose -9*k**3/2 - 50*k**2 - 281*k/2 - 15 = 0. Calculate k.
-6, -5, -1/9
Factor -r**3 + 47*r**2.
-r**2*(r - 47)
Solve v**2/5 + 861*v/5 + 1718/5 = 0 for v.
-859, -2
Factor -3*j**4 + 57*j**3 - 180*j**2.
-3*j**2*(j - 15)*(j - 4)
Let c**5/4 + 7*c**4/4 + 3*c**3/2 - 8*c**2 - 8*c = 0. What is c?
-4, -1, 0, 2
Suppose -4*j**2 - 668*j + 1352 = 0. Calculate j.
-169, 2
Factor 5*h**4 + 230*h**3 + 2400*h**2 - 5760*h.
5*h*(h - 2)*(h + 24)**2
Factor f**3/2 + 7*f**2/2 + 11*f/2 + 5/2.
(f + 1)**2*(f + 5)/2
Solve 4*k**3 - 604*k**2 + 22496*k + 23104 = 0 for k.
-1, 76
Suppose 2*d**5 + 20*d**4 + 44*d**3 - 56*d**2 - 110*d + 100 = 0. Calculate d.
-5, -2, 1
Factor 5*d**3 + 25*d**2 - 65*d + 35.
5*(d - 1)**2*(d + 7)
Suppose -3*w**2/4 + 51*w/2 - 48 = 0. Calculate w.
2, 32
Factor 4*z**3 - 16*z**2 + 4*z + 24.
4*(z - 3)*(z - 2)*(z + 1)
Suppose -v**3/8 + 9*v/8 = 0. Calculate v.
-3, 0, 3
Factor -2*z**2 - 86*z + 1060.
-2*(z - 10)*(z + 53)
Let -4*j**2/3 - 196*j/3 - 704 = 0. What is j?
-33, -16
Factor -s**4/5 + 11*s**3/5 + 76*s**2/5 + 64*s/5.
-s*(s - 16)*(s + 1)*(s + 4)/5
Factor -u**3 - 164*u**2 - 6557*u + 13778.
-(u - 2)*(u + 83)**2
Find f, given that 3*f**3/4 + 15*f**2/4 + 3*f = 0.
-4, -1, 0
Let h**3/3 - 2*h**2/3 + h/3 = 0. Calculate h.
0, 1
Determine q so that -8*q**4/5 + 6*q**3/5 + 42*q**2/5 + 34*q/5 + 6/5 = 0.
-1, -1/4, 3
Factor 34*x**3 + 242*x**2 + 232*x + 24.
2*(x + 1)*(x + 6)*(17*x + 2)
Factor t**2/2 - 3412*t + 5820872.
(t - 3412)**2/2
Find a such that 5*a**2 - 25*a - 70 = 0.
-2, 7
Determine h, given that -4*h**5 + 16*h**3 - 8*h**2 - 12*h + 8 = 0.
-2, -1, 1
Factor -c**5 - c**4 + 12*c**3 + 28*c**2 + 16*c.
-c*(c - 4)*(c + 1)*(c + 2)**2
Factor -d**5 + 2*d**4 + 2*d**3 - 8*d**2 + 7*d - 2.
-(d - 1)**4*(d + 2)
Factor 2*z**2/7 - 8656*z/7 + 9365792/7.
2*(z - 2164)**2/7
Factor v**3/12 - 30*v**2 + 3600*v - 144000.
(v - 120)**3/12
Let -4*v**4 + 3440*v**3 - 739596*v**2 - 3440*v + 739600 = 0. Calculate v.
-1, 1, 430
Let -4*k**2/9 - 80*k/3 = 0. Calculate k.
-60, 0
Factor -3*r**3 - 102*r**2 + 1293*r - 1188.
-3*(r - 9)*(r - 1)*(r + 44)
Find r, given that -28*r**2/3 + 2*r = 0.
0, 3/14
Let 3*l**5/4 + 225*l**4/4 - 711*l**3/4 - 681*l**2/4 + 414*l + 351 = 0. What is l?
-78, -1, 2, 3
Suppose -4*n**4 - 56*n**3 + 1808*n**2 - 3360*n = 0. Calculate n.
-30, 0, 2, 14
Determine l so that -35*l**5 + 20*l**4 + 50*l**3 - 20*l**2 - 15*l = 0.
-1, -3/7, 0, 1
Solve 6*o**2 - 3*o - 30 = 0.
-2, 5/2
Let -2*q**4/7 + 6*q**3/7 + 22*q**2/7 - 6*q/7 - 20/7 = 0. What is q?
-2, -1, 1, 5
Solve -2*r**4/7 - 68*r**3/7 - 338*r**2/7 + 4080*r/7 - 7200/7 = 0.
-20, 3
Let 81*y**5 - 306*y**4 + 271*y**3 + 178*y**2 - 352*y + 128 = 0. Calculate y.
-1, 8/9, 1, 2
Suppose 4*w**2 - 232*w + 1600 = 0. Calculate w.
8, 50
Factor -f**4/3 - f**3 + 10*f**2/3.
-f**2*(f - 2)*(f + 5)/3
Let -d**4/2 - 2173*d**3 - 3147228*d**2 - 1518011523*d + 3042321849/2 = 0. Calculate d.
-1449, 1
Solve w**3 - 9*w**2 + 24*w - 20 = 0 for w.
2, 5
What is y in -5*y**4 + 1863*y**3 - 174094*y**2 + 103044*y + 69192 = 0?
-2/5, 1, 186
Solve 5*w**2 + 240*w + 1260 = 0.
-42, -6
Let -5*i**2 - 30*i + 275 = 0. Calculate i.
-11, 5
Factor 3*w**2 - 54*w - 57.
3*(w - 19)*(w + 1)
Let -4*x**3/3 + 28*x**2 + 64*x/3 - 448 = 0. What is x?
-4, 4, 21
Factor g**2/4 - 9*g/4 - 11/2.
(g - 11)*(g + 2)/4
Factor d**2/3 - 23*d/3 + 14.
(d - 21)*(d - 2)/3
Factor j**4/3 + 7*j**3/3 - 4*j**2/3 - 28*j/3.
j*(j - 2)*(j + 2)*(j + 7)/3
Factor 2*d**4 - 104*d**3 + 1244*d**2 + 2808*d + 1458.
2*(d - 27)**2*(d + 1)**2
Determine u so that 3*u**2/5 - 1806*u/5 - 10944/5 = 0.
-6, 608
Factor 48*q**4 + 120*q**3 + 75*q**2.
3*q**2*(4*q + 5)**2
Determine s so that -2*s**4 + 44*s**3 - 282*s**2 + 656*s - 416 = 0.
1, 4, 13
Determine h so that -h**4/4 - 37*h**3/2 - 145*h**2/4 - 18*h = 0.
-72, -1, 0
Solve -4*x**3 - 148*x**2 - 656*x - 512 = 0 for x.
-32, -4, -1
Suppose -36*p**5 - 388*p**4 - 776*p**3 + 1488*p**2 - 288*p = 0. Calculate p.
-6, 0, 2/9, 1
Factor -4*m**3 - 128*m**2 - 884*m + 2312.
-4*(m - 2)*(m + 17)**2
Find q, given that q**3 + 498*q**2 + 82668*q + 4574296 = 0.
-166
Suppose -2*t**5 - 30*t**4 - 100*t**3 - 140*t**2 - 90*t - 22 = 0. Calculate t.
-11, -1
Find q such that 125*q**5 - 2490*q**4 + 61501*q**3/5 + 996*q**2 + 20*q = 0.
-1/25, 0, 10
Suppose c**4 + 28*c**3 + 165*c**2 + 86*c - 280 = 0. What is c?
-20, -7, -2, 1
Find b such that 2*b**5/9 - 70*b**4/3 + 1006*b**3/9 - 590*b**2/9 - 112*b + 800/9 = 0.
-1, 1, 4, 100
Let 2*n**3/5 - 86*n**2/5 + 302*n/5 + 78 = 0. Calculate n.
-1, 5, 39
Factor 150*b**3 + 10*b**2 - 14*b - 2.
2*(3*b - 1)*(5*b + 1)**2
Suppose 14*d**4 - 174*d**3 + 568*d**2 - 120*d - 288 = 0. What is d?
-4/7, 1, 6
Factor 3*y**4 - 27*y**2 + 12*y + 36.
3*(y - 2)**2*(y + 1)*(y + 3)
Factor 3*a**2/5 + 24*a/5 + 21/5.
3*(a + 1)*(a + 7)/5
Solve 3*s**5 - 12*s**4 - 27*s**3 + 48*s**2 + 60*s = 0 for s.
-2, -1, 0, 2, 5
Factor 2*t**2 + 78*t - 80.
2*(t - 1)*(t + 40)
Factor 2*u**3/3 - 34*u**2 + 450*u - 1250/3.
2*(u - 25)**2*(u - 1)/3
Solve -m**2 + 25*m + 116 = 0 for m.
-4, 29
Factor -3*m**2/4 + 2643*m/4.
-3*m*(m - 881)/4
Let -4*y**2 + 92*y = 0. Calculate y.
0, 23
Let -5*n**2 + 330*n - 5445 = 0. Calculate n.
33
Factor -2*y**2/17 + 22*y/17 - 36/17.
-2*(y - 9)*(y - 2)/17
Let p**2/4 + 140*p + 559/4 = 0. What is p?
-559, -1
Factor 3*g**2 + 834*g + 57963.
3*(g + 139)**2
Factor -o**2/3 + 21*o - 122/3.
-(o - 61)*(o - 2)/3
Let -187272*y**3/5 - 51714*y**2/5 - 1256*y/5 - 8/5 = 0. What is y?
-1/4, -2/153
Solve -5*v**3 + 45*v**2 - 135*v + 135 = 0.
3
Let -l**5 - 8*l**4 - 2*l**3 + 32*l**2 - 21*l 