*3 - 265*n**2 + 925*n + 2310 = 0. Calculate n.
-11, -7, -2, 3
Determine f, given that 8*f**2/9 - 70*f/3 + 52/9 = 0.
1/4, 26
Factor 2*c**4/9 - 4*c**3 + 118*c**2/9 - 28*c/3.
2*c*(c - 14)*(c - 3)*(c - 1)/9
Let 3*j**5 + 6*j**4 - 405*j**3 - 420*j**2 + 1572*j + 1584 = 0. What is j?
-12, -2, -1, 2, 11
Factor -4*s**4/5 + 24*s**2/5 + 32*s/5 + 12/5.
-4*(s - 3)*(s + 1)**3/5
Suppose -25*r**3 - 203*r**2/2 - 106*r - 6 = 0. Calculate r.
-2, -3/50
Find x, given that -x**4/3 - 173*x**3/3 - 343*x**2/3 - 57*x = 0.
-171, -1, 0
Suppose -2*z**4/23 - 16*z**3/23 + 152*z**2/23 - 224*z/23 = 0. Calculate z.
-14, 0, 2, 4
Factor t**4 - 203*t**3 - 210*t**2 + 1224*t.
t*(t - 204)*(t - 2)*(t + 3)
Factor 5*o**2 - 41800*o + 87362000.
5*(o - 4180)**2
Let -150*a**5 + 2320*a**4 + 22066*a**3 - 11028*a**2 - 2344*a + 1232 = 0. What is a?
-7, -1/3, 2/5, 22
Suppose -10*u**5 + 98*u**4 - 340*u**3 + 488*u**2 - 208*u - 64 = 0. What is u?
-1/5, 2, 4
Factor -15*f**2 - 108*f - 156.
-3*(f + 2)*(5*f + 26)
Factor -3*d**3/5 - 21*d**2 + 75*d + 5625.
-3*(d - 15)*(d + 25)**2/5
Determine v so that -45*v**5 + 235*v**4 - 5*v**3 - 775*v**2 - 370*v + 120 = 0.
-1, 2/9, 3, 4
Factor -4*f**4 + 24*f**3 + 4*f**2 - 24*f.
-4*f*(f - 6)*(f - 1)*(f + 1)
Determine u so that -u**2 - 2448*u - 1498176 = 0.
-1224
Factor -8*x**3/3 - 79*x**2/6 + 229*x/6 - 7/3.
-(x - 2)*(x + 7)*(16*x - 1)/6
Factor 2*r**4/3 - 17*r**3/6 + 8*r**2/3 - r/2.
r*(r - 3)*(r - 1)*(4*r - 1)/6
Factor -3*x**2 + 4488*x - 1678512.
-3*(x - 748)**2
Find o such that 11*o**5/8 + 335*o**4/8 + 861*o**3/2 + 1540*o**2 + 400*o - 750 = 0.
-10, -1, 6/11
Determine m, given that -48*m**4/5 - 58*m**3 + 180*m**2 + 238*m + 48/5 = 0.
-8, -1, -1/24, 3
Let -i**2/5 - 7*i - 60 = 0. Calculate i.
-20, -15
Determine w, given that -50*w**4/9 + 4190*w**3/9 + 1724*w**2/3 - 6136*w/9 + 1360/9 = 0.
-2, 2/5, 85
Solve 15*i**5 - 50*i**4 - 10*i**3 + 120*i**2 - 5*i - 70 = 0 for i.
-1, 1, 2, 7/3
Factor h**2/5 - 198*h/5 + 392/5.
(h - 196)*(h - 2)/5
Let j**3 - 19*j**2 + 104*j - 140 = 0. Calculate j.
2, 7, 10
Factor -2*q**3 + 654*q**2 - 648*q - 1304.
-2*(q - 326)*(q - 2)*(q + 1)
Factor 32*j**4 - 412*j**3 + 1484*j**2 - 960*j - 144.
4*(j - 6)**2*(j - 1)*(8*j + 1)
Let 2*y**5 + 20*y**4 + 76*y**3 + 136*y**2 + 114*y + 36 = 0. Calculate y.
-3, -2, -1
Factor -2*f**3 + 84*f**2 - 792*f - 1936.
-2*(f - 22)**2*(f + 2)
Factor 2*s**3/9 + 662*s**2/3 + 219122*s/3 + 72529382/9.
2*(s + 331)**3/9
Let 5*b**2 + 440*b = 0. What is b?
-88, 0
Factor -3*x**2 - 27696*x - 63922368.
-3*(x + 4616)**2
Factor u**4/9 + 28*u**3/9 + 221*u**2/9 + 338*u/9.
u*(u + 2)*(u + 13)**2/9
Factor 2*v**3/3 - 10*v**2/3 - 26*v/3 - 14/3.
2*(v - 7)*(v + 1)**2/3
What is j in j**2/8 + 5*j/4 + 25/8 = 0?
-5
Factor q**3 - 174*q**2 + 10092*q - 195112.
(q - 58)**3
What is r in 30*r**2 + 27*r = 0?
-9/10, 0
Factor 33*f**3/2 - 53*f**2/2 + 28*f/3 + 2/3.
(f - 1)*(3*f - 2)*(33*f + 2)/6
Let -3*n**5 - 96*n**4 + 414*n**3 - 636*n**2 + 429*n - 108 = 0. What is n?
-36, 1
Find b, given that -b**4 - 113*b**3 - 222*b**2 = 0.
-111, -2, 0
Factor 3*u**3 - 543*u**2 + 9960*u - 48300.
3*(u - 161)*(u - 10)**2
Let -2*v**3 - 14*v**2 - 24*v = 0. Calculate v.
-4, -3, 0
Factor 5*v**5 - 265*v**4 + 3095*v**3 + 10925*v**2 + 11480*v + 3920.
5*(v - 28)**2*(v + 1)**3
Factor 4*r**2 + 119*r/2 - 15/2.
(r + 15)*(8*r - 1)/2
What is n in 15*n**4 + 111*n**3 + 132*n**2 + 36*n = 0?
-6, -1, -2/5, 0
Suppose 5*g**4/2 - 70*g**3 + 835*g**2/2 - 350*g = 0. What is g?
0, 1, 7, 20
Solve -3*m**2/4 + 39*m/2 + 81/4 = 0.
-1, 27
Find j such that -4*j**3/7 - 88*j**2/7 - 416*j/7 - 512/7 = 0.
-16, -4, -2
Factor -2*u**3 + 160*u**2/3 - 1118*u/3 + 676/3.
-2*(u - 13)**2*(3*u - 2)/3
Solve 92*i**3 + 642*i**2/7 + 16*i/7 - 72/7 = 0 for i.
-18/23, -1/2, 2/7
Factor -4*r**2 + 41096*r - 105555076.
-4*(r - 5137)**2
Let -3*o**3 + 24*o**2 - 3*o - 126 = 0. Calculate o.
-2, 3, 7
Solve -4*f**5 - 16*f**4 - 25*f**3 - 19*f**2 - 7*f - 1 = 0.
-1, -1/2
Factor i**3/3 - 17*i**2 + 289*i - 4913/3.
(i - 17)**3/3
Let -9*p**3/2 + 213*p**2 - 927*p/2 - 405 = 0. Calculate p.
-2/3, 3, 45
Find y such that -7*y**4/8 - 221*y**3/2 + 637*y**2/8 + 127*y/4 = 0.
-127, -2/7, 0, 1
Factor 28*r**3 - 4600*r**2 + 10384*r - 2592.
4*(r - 162)*(r - 2)*(7*r - 2)
Factor 10*x**4 - 195*x**3 + 275*x**2 - 90*x.
5*x*(x - 18)*(x - 1)*(2*x - 1)
Factor -6*c**3/5 - 16*c**2/5 + 66*c/5 - 4.
-2*(c - 2)*(c + 5)*(3*c - 1)/5
What is w in -2*w**4 - 12*w**3 + 54*w**2 = 0?
-9, 0, 3
What is y in y**4/9 + 4*y**3/9 + y**2/3 - 4*y/9 - 4/9 = 0?
-2, -1, 1
Factor n**2/2 - 81*n/4 + 79/4.
(n - 1)*(2*n - 79)/4
Determine r, given that -3*r**2/2 - 39*r/2 - 63 = 0.
-7, -6
Let -4*k**3 + 17604*k**2 - 25825068*k + 12628458252 = 0. Calculate k.
1467
Let 6*w**2/5 - 258*w/5 + 1836/5 = 0. Calculate w.
9, 34
Suppose -2*m**5 + 26*m**4 + 92*m**3 + 64*m**2 = 0. Calculate m.
-2, -1, 0, 16
Let -722*b**2/5 + 76*b/5 - 2/5 = 0. What is b?
1/19
Determine s, given that 3*s**5 + 30*s**4 + 96*s**3 + 96*s**2 = 0.
-4, -2, 0
Factor 50*f**4 - 20760*f**3 + 2146568*f**2 + 1727232*f + 346112.
2*(f - 208)**2*(5*f + 2)**2
Solve 15*i**5 - 1727*i**4/4 + 737*i**3 - 803*i**2/2 + 88*i - 27/4 = 0.
1/5, 1/4, 1/3, 1, 27
Factor -v**2/4 + 153*v/4 + 729/2.
-(v - 162)*(v + 9)/4
Factor -4*o**2 - 68*o + 440.
-4*(o - 5)*(o + 22)
Determine v so that -3*v**2 - 846*v - 59643 = 0.
-141
Solve 4*i**3/3 + 5*i**2 + 4*i - 4/3 = 0.
-2, 1/4
Factor 3*v**3 - 3*v**2 - 72*v - 108.
3*(v - 6)*(v + 2)*(v + 3)
Factor d**4 - 51*d**3/8 + 29*d**2/4 - 15*d/8.
d*(d - 5)*(d - 1)*(8*d - 3)/8
What is f in -56*f**4/5 - 296*f**3/5 + 2*f**2 + 432*f/5 - 18 = 0?
-5, -3/2, 3/14, 1
Factor 4*k**2 - 5088*k - 5092.
4*(k - 1273)*(k + 1)
Factor y**3 - 2969*y**2 + 2202255*y + 2205225.
(y - 1485)**2*(y + 1)
Factor -5*t**3 + 505*t**2 - 500*t.
-5*t*(t - 100)*(t - 1)
Factor -4*z**3 + 420*z**2.
-4*z**2*(z - 105)
Let -6*r**4 + 45*r**3/2 - 12*r**2 - 9*r/2 = 0. Calculate r.
-1/4, 0, 1, 3
Suppose -15*g**4 + 50*g**3 - 15*g**2 = 0. Calculate g.
0, 1/3, 3
Find v such that -18*v**4 + 56*v**3 - 22*v**2 - 56*v + 40 = 0.
-1, 1, 10/9, 2
Suppose -l**5/4 + l**4/4 + 5*l**3/4 - l**2/4 - 2*l - 1 = 0. What is l?
-1, 2
Determine r, given that r**3/7 + 145*r**2/7 + 5328*r/7 + 5184/7 = 0.
-72, -1
Determine q so that -63*q**2 + 57*q + 6 = 0.
-2/21, 1
Suppose 4*v**4 - 68*v**3 + 396*v**2 - 972*v + 864 = 0. Calculate v.
3, 8
Factor -114*v**2/7 + 1474*v/7 + 104/7.
-2*(v - 13)*(57*v + 4)/7
What is d in 3*d**5 - 114*d**4 + 1287*d**3 - 3876*d**2 + 3468*d = 0?
0, 2, 17
Find m such that 2*m**3/19 + 72*m**2/19 + 10*m - 264/19 = 0.
-33, -4, 1
Factor -5*x**5 - 105*x**4 - 600*x**3 - 500*x**2.
-5*x**2*(x + 1)*(x + 10)**2
Factor -2*g**2/7 - 60*g/7 - 450/7.
-2*(g + 15)**2/7
Determine v so that 6*v**3 + 27*v**2 - 18*v - 15 = 0.
-5, -1/2, 1
Determine i so that 5*i**4 + 110*i**3 + 95*i**2 - 2010*i + 1800 = 0.
-20, -6, 1, 3
Find d, given that 4*d**3/3 + 28*d**2 + 52*d + 76/3 = 0.
-19, -1
Solve 3*h**3/8 + 45*h**2/8 + 141*h/8 - 189/8 = 0 for h.
-9, -7, 1
Factor -2*h**2/7 + 180*h/7.
-2*h*(h - 90)/7
Find m, given that -5*m**4 - 85*m**3 - 480*m**2 - 1040*m - 640 = 0.
-8, -4, -1
Factor 3*q**2 - 243*q - 756.
3*(q - 84)*(q + 3)
Factor -27*b**3/4 - 1887*b**2/2 - 32865*b + 7350.
-3*(b + 70)**2*(9*b - 2)/4
Factor -5*x**2 + 80.
-5*(x - 4)*(x + 4)
Factor 5*m**2 - 11170*m + 6238445.
5*(m - 1117)**2
Suppose 6*h**5 + 57*h**4 + 69*h**3 - 33*h**2 - 75*h - 24 = 0. What is h?
-8, -1, -1/2, 1
Determine q so that -5*q**4 - 55*q**3 - 105*q**2 + 295*q + 350 = 0.
-7, -5, -1, 2
Factor -4*p**3 + 180*p**2 - 348*p + 172.
-4*(p - 43)*(p - 1)**2
Let -w**4 + 37*w**3 - 104*w**2 + 68*w = 0. Calculate w.
0, 1, 2, 34
Factor 3*r**2/5 - 168*r/5 - 171/5.
3*(r - 57)*(r + 1)/5
Suppose -81*i**4/4 - 1089*i**3/4 - 928*i**2 - 373*i - 40 = 0. Calculate i.
-8, -5, -2/9
Find g such that -6480*g**4 + 56160*g**3 - 182520*g**2 + 263640*g - 142805 = 0.
13/6
Factor 3*c**4/8 - 39*c**3/4 + 81*c**2 - 729*c/4 - 2187/8.
3*(c - 9)**3*(c + 1)/8
Factor 3*g**4/7 + 12*g**3 + 159*g**2/7 + 78*g/7.
3*g*(g + 1)**2*(g + 26)/7
Factor 3*s**2 - 435*s + 432.
3*(s - 144)*(s - 1)
Solve 2*z**3 - 598*z**2 + 44400*z + 45000 = 0 for z.
-1, 150
Determine k, given that 3*k**2 - 27*k - 570 = 0.
-10, 19
Solve -o**4/3 - 47*o**3/3 - 98*o**2 - 568*o/3 - 320/3 = 0.
-40, -4, -2, -1
Factor 4*t**4 - 1452*t**3 - 1456*t**2.
4*t**2*(t - 364)*(t + 1)
Factor -3*y**3/4 + 831*y**2/4 + 1671*y/4 + 837/4.
-3*(y