- 21*g**3 - 2*g**2 + 8*g = 0.
-4, -2, -1, 0, 1/2
Factor -4*c**4/5 + 8*c**3/5 + 4*c**2/5 - 8*c/5.
-4*c*(c - 2)*(c - 1)*(c + 1)/5
What is f in -f**2 + 4 = 0?
-2, 2
What is k in -k**4/2 - 23*k**3 + 51*k**2/2 + 92*k - 94 = 0?
-47, -2, 1, 2
Factor 4*f**2 - 676*f + 672.
4*(f - 168)*(f - 1)
Find w, given that -4*w**2/9 + 272*w/9 - 4624/9 = 0.
34
Factor -169*q**2/4 - 156*q - 144.
-(13*q + 24)**2/4
What is j in j**2/9 + 631*j/9 - 2540/9 = 0?
-635, 4
Factor 14*f**3/19 + 562*f**2/19 + 5680*f/19 + 800/19.
2*(f + 20)**2*(7*f + 1)/19
Find r such that 4*r**4 + 200*r**3 + 2868*r**2 + 9200*r + 8464 = 0.
-23, -2
Suppose 8*f**3 + 14*f**2 - 10*f - 12 = 0. What is f?
-2, -3/4, 1
Factor -n**3 + 4*n**2 + 4*n - 16.
-(n - 4)*(n - 2)*(n + 2)
Find p, given that 2*p**3 + 432*p**2 + 22890*p - 47524 = 0.
-109, 2
Factor 16*h**4/5 + 148*h**3/5 - 344*h**2/5 + 36*h.
4*h*(h - 1)**2*(4*h + 45)/5
What is v in -3*v**3 + 92*v**2 + 3*v - 92 = 0?
-1, 1, 92/3
Solve 2*w**4 - 36*w**3 - 80*w**2 = 0 for w.
-2, 0, 20
Factor h**5/2 + h**4/2 - 2*h**3 - 2*h**2.
h**2*(h - 2)*(h + 1)*(h + 2)/2
Factor -289*p**3/2 - 5797*p**2 - 1361*p/2 - 20.
-(p + 40)*(17*p + 1)**2/2
Suppose 2*g**4/5 + 12*g**3/5 + 2*g**2/5 - 48*g/5 + 32/5 = 0. Calculate g.
-4, 1
Find v such that v**4/8 - 13*v**3/8 - v**2/8 + 13*v/8 = 0.
-1, 0, 1, 13
Determine u, given that u**2 - 21*u + 20 = 0.
1, 20
Factor 3*c**2 + 54*c + 243.
3*(c + 9)**2
Determine v so that 2*v**2/9 - 224*v/9 + 6272/9 = 0.
56
Suppose -14*a**3/5 - 202*a**2/5 - 154*a - 294/5 = 0. What is a?
-7, -3/7
Factor -20*n**2 - 6752*n + 2704.
-4*(n + 338)*(5*n - 2)
Factor -5*j**4/4 + 175*j**3/4 + 185*j**2/2.
-5*j**2*(j - 37)*(j + 2)/4
Factor x**2/2 - 2983*x + 8898289/2.
(x - 2983)**2/2
Factor -g**5/5 + 3*g**4/5 + 24*g**3/5 + 28*g**2/5.
-g**2*(g - 7)*(g + 2)**2/5
Factor 3*s**3 + 18*s**2 + 36*s + 24.
3*(s + 2)**3
What is u in -5*u**4 + 275*u**3 + 2440*u**2 + 5040*u = 0?
-4, 0, 63
Find t, given that 5*t**2 + 2790*t + 2785 = 0.
-557, -1
Solve 2*b**4 + 6*b**3 + 2*b**2 - 6*b - 4 = 0.
-2, -1, 1
Solve 2*g**5/5 + 8*g**4/5 + 2*g**3 + 4*g**2/5 = 0 for g.
-2, -1, 0
Factor 3*a**5 + 21*a**4 - 24*a**3.
3*a**3*(a - 1)*(a + 8)
Find y, given that 10*y**5 + 94*y**4 + 116*y**3 + 32*y**2 = 0.
-8, -1, -2/5, 0
Factor -4*l**2/3 + 3328*l/3 - 692224/3.
-4*(l - 416)**2/3
Factor 2*m**2/7 + 96*m/7 + 270/7.
2*(m + 3)*(m + 45)/7
Factor v**3/6 + 59*v**2/6 - 380*v/3 + 350/3.
(v - 10)*(v - 1)*(v + 70)/6
Factor c**4 - 32*c**3 - 25*c**2 + 1592*c + 4464.
(c - 31)*(c - 9)*(c + 4)**2
Factor 2*d**4 - 6*d**3 + 8*d.
2*d*(d - 2)**2*(d + 1)
Determine z, given that 5*z**2 - 210*z + 400 = 0.
2, 40
Factor -2*j**4/17 + 54*j**3/17 - 420*j**2/17 + 200*j/17 + 6000/17.
-2*(j - 10)**3*(j + 3)/17
Let m**4 - 4*m**2 = 0. Calculate m.
-2, 0, 2
Find u such that 2*u**4 + 120*u**3 + 964*u**2 + 2376*u + 1530 = 0.
-51, -5, -3, -1
Factor z**3/3 + 101*z**2/3 - 140*z.
z*(z - 4)*(z + 105)/3
Factor 356445*a**2 + 5340*a + 20.
5*(267*a + 2)**2
Determine w, given that -w**5/2 - 9*w**4/2 + 25*w**3/2 + 33*w**2/2 = 0.
-11, -1, 0, 3
Factor -2*r**2/7 + 4*r - 14.
-2*(r - 7)**2/7
Factor -c**5 - 59*c**4 + 63*c**3 + 175*c**2 - 298*c + 120.
-(c - 1)**3*(c + 2)*(c + 60)
Factor -r**3 - 12*r**2 - 36*r - 32.
-(r + 2)**2*(r + 8)
Solve m**3 - 27*m**2 + 51*m - 25 = 0.
1, 25
Find t such that 6*t**5/17 - 22*t**4/17 + 10*t**3/17 + 30*t**2/17 - 16*t/17 - 8/17 = 0.
-1, -1/3, 1, 2
Find a, given that -a**2/6 + 32*a - 1536 = 0.
96
Determine z, given that -z**3 + 407*z**2 - 41615*z + 41209 = 0.
1, 203
Factor 658*y**2 + 132*y - 16.
2*(7*y + 2)*(47*y - 4)
Find l such that -l**3/3 + 391*l**2/3 + 785*l/3 + 131 = 0.
-1, 393
Factor -2*l**4/13 + 50*l**3/13 - 252*l**2/13 + 472*l/13 - 304/13.
-2*(l - 19)*(l - 2)**3/13
Factor y**3/3 + 17*y**2/3 - 20*y/3 - 12.
(y - 2)*(y + 1)*(y + 18)/3
Let s**3/2 + 2133*s**2/2 + 1136355*s/2 - 1138489/2 = 0. Calculate s.
-1067, 1
Factor -4*y**3/3 + 13*y**2 + 310*y/3 + 25.
-(y - 15)*(y + 5)*(4*y + 1)/3
Solve -x**5 + 2*x**3 - x = 0.
-1, 0, 1
Let -5*z**2/6 + 1135*z/6 + 190 = 0. What is z?
-1, 228
What is k in -5*k**5 + 30*k**4 + 295*k**3 + 720*k**2 + 700*k + 240 = 0?
-2, -1, 12
Solve -5*u**5/3 - 3*u**4 + 7*u**3/3 + 3*u**2 - 2*u/3 = 0.
-2, -1, 0, 1/5, 1
What is u in -32*u**3/7 - 102*u**2/7 - 82*u/7 - 12/7 = 0?
-2, -1, -3/16
Let -3*f**2 + 6*f + 9 = 0. What is f?
-1, 3
Suppose -j**3/3 + 179*j**2/3 - 2640*j - 2700 = 0. What is j?
-1, 90
Determine g so that 65*g**5/4 - 855*g**4/4 + 2275*g**3/4 - 2345*g**2/4 + 240*g - 25 = 0.
2/13, 1, 10
Suppose 4*b**5 + 176*b**4 + 504*b**3 + 496*b**2 + 164*b = 0. What is b?
-41, -1, 0
Suppose 7*w**3/5 - 352*w**2/5 + 20*w = 0. What is w?
0, 2/7, 50
Factor 5*i**2 + 480*i.
5*i*(i + 96)
Factor 4*b**3 + 564*b**2 + 1116*b + 556.
4*(b + 1)**2*(b + 139)
Determine q so that -1600*q**3 - 5472*q**2 - 4452*q + 392 = 0.
-7/4, 2/25
Factor c**3 - 328*c**2.
c**2*(c - 328)
Factor -4*j**4 + 16*j**3 - 12*j**2.
-4*j**2*(j - 3)*(j - 1)
What is f in 5*f**3 + 295*f**2 + 290*f = 0?
-58, -1, 0
Factor -h**3/3 + 14*h**2/3 + 31*h/3 + 16/3.
-(h - 16)*(h + 1)**2/3
Factor 4*q**4 - 23*q**3 + 47*q**2 - 40*q + 12.
(q - 2)**2*(q - 1)*(4*q - 3)
Factor -3*m**4/4 - 18*m**3 - 243*m**2/2 + 6561/4.
-3*(m - 3)*(m + 9)**3/4
Solve 5*l**5/4 + 15*l**4/2 + 5*l**3 - 15*l**2/2 - 25*l/4 = 0.
-5, -1, 0, 1
Factor 4563*y**2/4 - 1989*y + 867.
3*(39*y - 34)**2/4
Let -s**2/3 + 17*s/3 + 6 = 0. Calculate s.
-1, 18
Factor -5*y**4 + 30*y**3 - 110*y - 75.
-5*(y - 5)*(y - 3)*(y + 1)**2
Factor -3*t**2/2 + 1413*t/2 - 705.
-3*(t - 470)*(t - 1)/2
Let w**5 + 5*w**4 - 7*w**3 - 5*w**2 + 6*w = 0. Calculate w.
-6, -1, 0, 1
Factor -2*b**2 - 52*b - 96.
-2*(b + 2)*(b + 24)
Find h, given that -4*h**4/5 - 344*h**3/5 - 6672*h**2/5 + 6264*h - 4860 = 0.
-45, 1, 3
Let -3*w**3/5 - 9*w**2/5 + 39*w/5 + 9 = 0. What is w?
-5, -1, 3
Suppose 3*l**5/5 + 66*l**4/5 + 96*l**3/5 - 96*l**2 = 0. What is l?
-20, -4, 0, 2
Factor -y**4 - 7*y**3 - 7*y**2 + 15*y.
-y*(y - 1)*(y + 3)*(y + 5)
Solve d**2/9 - 7*d/9 + 4/3 = 0.
3, 4
Find w such that -338*w**4/21 + 19162*w**3/21 + 8508*w**2/7 + 6488*w/21 + 464/21 = 0.
-1, -2/13, 58
Factor 4*a**5 + 788*a**4 - 804*a**3 - 2356*a**2 + 3952*a - 1584.
4*(a - 1)**3*(a + 2)*(a + 198)
Find j, given that -202*j**2 - 412*j - 16 = 0.
-2, -4/101
Determine z, given that z**4/3 - z**3 + 4*z/3 = 0.
-1, 0, 2
What is g in 5*g**3 + 45*g**2 + 70*g - 120 = 0?
-6, -4, 1
Let 2*t**2 + 51*t/2 - 13/2 = 0. What is t?
-13, 1/4
Solve -m**3/9 + 5*m**2/9 - 8*m/9 + 4/9 = 0.
1, 2
Solve -4*l**5 - 8*l**4 + 48*l**3 + 56*l**2 - 44*l - 48 = 0 for l.
-4, -1, 1, 3
Determine a, given that -5*a**3 + 20400*a**2 - 27744000*a + 12577280000 = 0.
1360
Determine b, given that -4*b**2/3 - 2584*b/3 - 860 = 0.
-645, -1
Suppose -5*j**2 - 5985*j = 0. Calculate j.
-1197, 0
Factor 2*y**5/3 - 228*y**4 + 19264*y**3 + 118336*y**2/3.
2*y**2*(y - 172)**2*(y + 2)/3
Suppose -3*a**2 - 231*a = 0. What is a?
-77, 0
Let 2*h**4 + 8*h**3 - 4*h**2 - 24*h + 18 = 0. Calculate h.
-3, 1
Factor -5*b**5 - 75*b**4 - 220*b**3 + 1440*b**2 + 8640*b + 10800.
-5*(b - 5)*(b + 2)*(b + 6)**3
Suppose -6*x**5/7 + 50*x**4/7 - 16*x**3 + 32*x**2/7 = 0. What is x?
0, 1/3, 4
Factor z**2/11 + 51*z/11 + 188/11.
(z + 4)*(z + 47)/11
Factor -3*b**3 + 3*b**2 + 78*b + 72.
-3*(b - 6)*(b + 1)*(b + 4)
Factor -x**4/2 - 21*x**3/2 - 87*x**2/2 - 115*x/2 - 24.
-(x + 1)**2*(x + 3)*(x + 16)/2
Determine k so that -35*k**5 + 225*k**4 - 475*k**3 + 375*k**2 - 90*k = 0.
0, 3/7, 1, 2, 3
Factor 4*l**2 - 4.
4*(l - 1)*(l + 1)
Factor -2*b**5/7 + 8*b**4/7 - 10*b**3/7 + 4*b**2/7.
-2*b**2*(b - 2)*(b - 1)**2/7
Factor -2*l**2/5 - 112*l/5.
-2*l*(l + 56)/5
Solve 4*u**4 + 176*u**3 = 0 for u.
-44, 0
Factor -y**3/9 + 182*y**2/9 - 8281*y/9.
-y*(y - 91)**2/9
Factor -k**5 + 29*k**4 - 322*k**3 + 1666*k**2 - 3773*k + 2401.
-(k - 7)**4*(k - 1)
Solve 2*q**4 - 144*q**3 + 3456*q**2 - 27648*q = 0.
0, 24
Factor -2*g**3/9 - 104*g**2/9 - 392*g/9 - 128/3.
-2*(g + 2)**2*(g + 48)/9
Factor 3*m**2 - 324*m - 1695.
3*(m - 113)*(m + 5)
Suppose 84*a**2 - 4124*a + 392 = 0. Calculate a.
2/21, 49
Let 2*w**2/7 + 4*w/7 + 2/7 = 0. Calculate w.
-1
Factor 5*v**3/3 + 440*v**2 + 38720*v + 3407360/3.
5*(v + 88)**3/3
Determine g so that 9075*g**5 - 46035*g**4 - 69288*g**3 + 440820*g**2 - 31776*g + 576 = 0.
-3, 2/55, 4
Let -4*b**5/7 - 1080*b**4/7 - 97200*b**3/7 - 2916000*b**2/7 = 0. Calculate b.
-90, 0
Suppose 5*d**4 - 235*d**3