e v.
4281
Find a such that -400*a**5 - 320*a**4 + 776*a**3 - 344*a**2 + 47*a - 2 = 0.
-2, 1/10, 1/2
What is m in 2*m**4/11 + 86*m**3/11 + 42*m**2 + 666*m/11 = 0?
-37, -3, 0
Suppose -128*x**4/5 + 5792*x**3/5 - 63314*x**2/5 - 49956*x/5 - 9522/5 = 0. What is x?
-3/8, 23
Solve -2*h**3/5 + 16*h**2/5 - 2*h/5 - 84/5 = 0 for h.
-2, 3, 7
Let p**5/3 + 32*p**4/3 + 56*p**3/3 - 128*p**2/3 - 80*p = 0. Calculate p.
-30, -2, 0, 2
Let -2*t**5/5 + 28*t**4/5 + 64*t**3/5 - 896*t**2/5 - 512*t/5 + 7168/5 = 0. What is t?
-4, 4, 14
Factor 3*h**3/8 + 31*h**2/8 - 41*h + 51/2.
(h - 6)*(h + 17)*(3*h - 2)/8
Solve 3*p**5 - 168*p**4 + 1803*p**3 + 15090*p**2 + 33108*p + 23064 = 0.
-2, 31
Factor k**4 + 5*k**3 - 24*k**2.
k**2*(k - 3)*(k + 8)
Find t, given that 4*t**4 - 308*t**3 - 316*t**2 + 308*t + 312 = 0.
-1, 1, 78
Find c such that -4*c**5 - 28*c**4 + 24*c**3 + 328*c**2 - 20*c - 300 = 0.
-5, -1, 1, 3
Determine p, given that p**4/4 - p**3/2 + p/2 - 1/4 = 0.
-1, 1
Factor 3*w**3 + 45*w**2 + 108*w - 420.
3*(w - 2)*(w + 7)*(w + 10)
Determine g so that -2*g**5/7 + 26*g**4/7 - 66*g**3/7 + 62*g**2/7 - 20*g/7 = 0.
0, 1, 10
Suppose 3*y**5/7 - 9*y**4/7 - 3*y**3/7 + 9*y**2/7 = 0. What is y?
-1, 0, 1, 3
Suppose -2*l**5/7 + 2*l**4 - 20*l**3/7 - 36*l**2/7 + 54*l/7 + 54/7 = 0. Calculate l.
-1, 3
Let -f**4/3 + f**2/3 = 0. Calculate f.
-1, 0, 1
Factor x**2/6 + 295*x/2 + 441.
(x + 3)*(x + 882)/6
Suppose -2*p**2/5 + 126*p = 0. What is p?
0, 315
Factor -i**2 + 193*i - 940.
-(i - 188)*(i - 5)
Find b, given that b**5/3 - 4*b**4/3 - 5*b**3 + 10*b**2/3 + 44*b/3 + 8 = 0.
-2, -1, 2, 6
Suppose -n**4 + 3*n**3/2 + n**2 = 0. Calculate n.
-1/2, 0, 2
Let -2*w**2/9 + 20*w/9 + 22/9 = 0. Calculate w.
-1, 11
Determine p, given that 4*p**3/3 - 2780*p**2/3 + 160544*p + 161472 = 0.
-1, 348
Factor -r**3/3 - 2*r**2 + 7*r/3.
-r*(r - 1)*(r + 7)/3
Let 2*a**2/9 + 1250*a/9 - 1252/9 = 0. Calculate a.
-626, 1
Factor -g**5/3 - 10*g**4/3 - 25*g**3/3.
-g**3*(g + 5)**2/3
Suppose f**5/2 + 3*f**4/2 - f**3/2 - 11*f**2/2 - 6*f - 2 = 0. Calculate f.
-2, -1, 2
Determine z so that 5*z**3 + 1190*z**2 = 0.
-238, 0
Solve -f**2/4 - 7*f + 429/4 = 0.
-39, 11
Find r, given that 3*r**5/7 + 219*r**4/7 + 1614*r**3/7 + 3558*r**2/7 + 3135*r/7 + 975/7 = 0.
-65, -5, -1
Factor -k**4 + 34*k**3 - 321*k**2 + 544*k - 256.
-(k - 16)**2*(k - 1)**2
Factor w**3/4 - 45*w**2/4 - 12*w + 23.
(w - 46)*(w - 1)*(w + 2)/4
Determine y, given that -845*y**4 + 7930*y**3 - 16005*y**2 - 12200*y - 2000 = 0.
-4/13, 5
Solve -2*h**5 - 10*h**4 + 14*h**3 + 10*h**2 - 12*h = 0.
-6, -1, 0, 1
Solve -2*d**4/3 - 198*d**3 + 596*d**2/3 = 0.
-298, 0, 1
Let -2*l**5 + 32*l**4/7 + 6*l**3/7 - 32*l**2/7 + 8*l/7 = 0. Calculate l.
-1, 0, 2/7, 1, 2
Factor -3*l**2/7 + 330*l - 63525.
-3*(l - 385)**2/7
Factor -2*b**3/5 - 1132*b**2/5 - 160178*b/5.
-2*b*(b + 283)**2/5
Solve -4*h**3 + 1288*h**2 - 103684*h = 0.
0, 161
Find z, given that -2*z**2/15 - 40*z/3 - 1000/3 = 0.
-50
Factor -a**4/7 + 184*a**3/7 - 11682*a**2/7 + 278480*a/7 - 205379.
-(a - 59)**3*(a - 7)/7
Find z, given that 2*z**5 + 32*z**4/3 - 8*z**3 - 64*z**2 + 128*z/3 = 0.
-4, 0, 2/3, 2
Find w, given that 5*w**2 + 19050*w + 19045 = 0.
-3809, -1
Suppose -2*d**2/3 + 164*d/3 - 3362/3 = 0. What is d?
41
Determine b so that -b**3 + 16*b**2 + b - 16 = 0.
-1, 1, 16
Factor -m**4 - 496*m**3 - 61998*m**2 - 122512*m - 61009.
-(m + 1)**2*(m + 247)**2
What is k in -2*k**2/11 + 62*k/11 + 1380/11 = 0?
-15, 46
Let -21*i**5/4 + 127*i**4/4 - 67*i**3/4 - 219*i**2/4 + 4*i + 5 = 0. Calculate i.
-1, -2/7, 1/3, 2, 5
Factor -4*f**5 - 4*f**4.
-4*f**4*(f + 1)
Factor 3*m**2 + 21*m/2 - 117/2.
3*(m - 3)*(2*m + 13)/2
Factor -2*f**3/3 + 542*f**2/3 - 36448*f/3 - 36992/3.
-2*(f - 136)**2*(f + 1)/3
Suppose -1932100*t**2 - 5560*t - 4 = 0. Calculate t.
-1/695
Factor -2*p**2/11 - 464*p/11 - 42.
-2*(p + 1)*(p + 231)/11
Factor -2*b**4 + 102*b**3 - 198*b**2 + 98*b.
-2*b*(b - 49)*(b - 1)**2
Determine s so that -2*s**4/15 - 172*s**3/15 + 902*s**2/15 - 728*s/15 = 0.
-91, 0, 1, 4
What is q in -2*q**5 - 40*q**4 + 44*q**3 + 40*q**2 - 42*q = 0?
-21, -1, 0, 1
Factor -2*l**3 + 68*l**2.
-2*l**2*(l - 34)
Solve 6*y**5/13 + 28*y**4/13 - 2*y**3/13 - 72*y**2/13 + 8*y/13 + 32/13 = 0.
-4, -2, -2/3, 1
Factor 10*c**4 + 264*c**3 - 166*c**2 - 108*c.
2*c*(c - 1)*(c + 27)*(5*c + 2)
Solve -3*x**4/2 + 135*x**3 - 6579*x**2/2 + 11094*x = 0 for x.
0, 4, 43
Factor 3*z**3 + 6*z**2 - 9*z.
3*z*(z - 1)*(z + 3)
Factor -2*o**4 + 10*o**3 + 94*o**2 + 78*o - 180.
-2*(o - 10)*(o - 1)*(o + 3)**2
Suppose -2*i**4/17 + 18*i**3/17 - 28*i**2/17 = 0. What is i?
0, 2, 7
What is c in -2*c**5/5 - 16*c**4/5 - 38*c**3/5 - 24*c**2/5 = 0?
-4, -3, -1, 0
Solve -15*s**2 - 471*s + 288 = 0.
-32, 3/5
Factor -7*c**3/4 - 18*c**2 - 167*c/4 - 21/2.
-(c + 3)*(c + 7)*(7*c + 2)/4
Let -f**3/5 + 21*f**2/5 - 7*f - 57/5 = 0. Calculate f.
-1, 3, 19
Let -2*b**3/17 - 2*b**2/17 = 0. Calculate b.
-1, 0
Let -4*r**2 + 92*r + 1320 = 0. What is r?
-10, 33
Solve -2*f**2 + 2260*f - 638450 = 0.
565
Factor -3*w**5/5 + 3*w**4/5 + 6*w**3/5 - 6*w**2/5 - 3*w/5 + 3/5.
-3*(w - 1)**3*(w + 1)**2/5
Factor -2*d**3/11 + 884*d**2/11 + 2670*d/11.
-2*d*(d - 445)*(d + 3)/11
Factor -12*q**2 - 5673*q + 1419.
-3*(q + 473)*(4*q - 1)
Factor q**2/4 - 403*q/2 - 2427/4.
(q - 809)*(q + 3)/4
Factor 2*c**5 - 5*c**4 + 3*c**3 + c**2 - c.
c*(c - 1)**3*(2*c + 1)
Find j, given that -8*j**4/5 - 58*j**3/5 - 46*j**2/5 + 88*j/5 + 24/5 = 0.
-6, -2, -1/4, 1
Factor 2*c**3/9 - 2*c**2 + 46*c/9 - 10/3.
2*(c - 5)*(c - 3)*(c - 1)/9
Factor -3*q**4 - 180*q**3 - 177*q**2.
-3*q**2*(q + 1)*(q + 59)
Factor -2*t**3 + 102*t**2 + 324*t.
-2*t*(t - 54)*(t + 3)
Factor -3*d**2 - 78*d + 261.
-3*(d - 3)*(d + 29)
Suppose -d**5/4 + 5*d**3/4 - d = 0. Calculate d.
-2, -1, 0, 1, 2
Factor -s**3/5 - 2*s**2/5 + 173*s/5 - 66.
-(s - 11)*(s - 2)*(s + 15)/5
Factor -u**2 + 14*u + 51.
-(u - 17)*(u + 3)
Let -2*s**4/9 + 4*s**3/9 + 26*s**2/9 + 20*s/9 = 0. What is s?
-2, -1, 0, 5
Determine b, given that b**4 - 5*b**3 + 5*b**2 + 5*b - 6 = 0.
-1, 1, 2, 3
Suppose 2*z**4 + 102*z**3 + 434*z**2 - 1182*z + 644 = 0. What is z?
-46, -7, 1
Factor -s**3 - 116*s**2 - 229*s - 114.
-(s + 1)**2*(s + 114)
Suppose -2*o**2 - 358*o + 1092 = 0. Calculate o.
-182, 3
Find g such that -4*g**4 - 320*g**3/3 - 60*g**2 + 240*g - 208/3 = 0.
-26, -2, 1/3, 1
What is m in 3*m**3 + 27*m**2 + 45*m - 75 = 0?
-5, 1
What is c in c**3/11 + 32*c**2/11 + 28*c + 784/11 = 0?
-14, -4
Find z, given that 2*z**3/7 + 46*z**2/7 - 270*z - 45198/7 = 0.
-27, 31
Suppose -2*l**2 - 6*l + 8 = 0. What is l?
-4, 1
Factor x**3 - 17*x**2 - 18*x.
x*(x - 18)*(x + 1)
Solve -3*v**5/2 - 348*v**4 - 19827*v**3 + 42120*v**2 + 123201*v/2 = 0 for v.
-117, -1, 0, 3
Factor 3*h**4/4 - 27*h**3/4 - 3*h**2/4 + 27*h/4.
3*h*(h - 9)*(h - 1)*(h + 1)/4
Let 50*f**4/13 + 900*f**3 + 1784*f**2 - 144*f - 3712/13 = 0. Calculate f.
-232, -2, -2/5, 2/5
Find w, given that -w**5 + 5*w**4 - 2*w**3 - 20*w**2 + 24*w = 0.
-2, 0, 2, 3
Factor n**3/6 - 4*n**2 + 30*n - 200/3.
(n - 10)**2*(n - 4)/6
Factor -2*i**4 - 32*i**3 + 208*i**2 + 2688*i - 14112.
-2*(i - 6)**2*(i + 14)**2
Determine d so that -2*d**5/3 + 8*d**4/3 + 58*d**3 + 692*d**2/3 + 1096*d/3 + 208 = 0.
-3, -2, 13
Determine i so that i**4 - 253*i**3 - 255*i**2 + 253*i + 254 = 0.
-1, 1, 254
Factor -i**2/4 - 107*i/4 + 27.
-(i - 1)*(i + 108)/4
Factor -z**5 + 202*z**4 + 407*z**3 + 204*z**2.
-z**2*(z - 204)*(z + 1)**2
Factor 2*f**4 - 12*f**3 + 18*f**2.
2*f**2*(f - 3)**2
Factor j**3/2 + 15*j**2 + 144*j + 432.
(j + 6)*(j + 12)**2/2
Factor z**3/6 - 5*z**2 + 19*z/2 - 14/3.
(z - 28)*(z - 1)**2/6
Let -5*v**2 + 615*v - 13300 = 0. Calculate v.
28, 95
Let 2*n**2/9 - 64*n/9 - 152/3 = 0. What is n?
-6, 38
Find u, given that -4*u**3 - 8132*u**2 - 4129020*u + 4137156 = 0.
-1017, 1
Determine l, given that -l**2/2 - 332*l - 55112 = 0.
-332
Factor -9*c**3/7 + 510*c**2/7 - 1312*c/7 + 864/7.
-(c - 54)*(3*c - 4)**2/7
Find u, given that -2*u**2/3 + 166*u/3 = 0.
0, 83
What is y in 265302*y**4/13 - 1139238*y**3/13 + 319770*y**2/13 - 30850*y/13 + 1000/13 = 0?
5/51, 4
Solve -289*t**5 - 7735*t**4 - 68395*t**3 - 194265*t**2 + 48600*t - 2916 = 0.
-9, 2/17
What is v in 2*v**4/3 + 54*v**3 - 1786*v**2/3 + 1026*v - 1456/3 = 0?
-91, 1, 8
Factor o**5/2 + 7*o**4/2 + 17*o**3/2 + 17*o**2/2 + 3*o.
o*(o + 1)**2*(o + 2)*(o + 3)/2
Factor -10*t**2 + 44*t + 128.
-2*(t + 2)*(5*t - 32)
Suppose 2*p**4/5 + 12*p**3/5 +