- 75*q**3 - 25*q**2 + 65*q + 30 = 0?
-2, -1, -1/2, 1, 3
Factor -3*k**3 + 6930*k**2 - 5336100*k + 1369599000.
-3*(k - 770)**3
Factor 2*s**2/5 - 36*s/5 - 38/5.
2*(s - 19)*(s + 1)/5
Solve -3*k**5/4 + 5*k**4/2 + 9*k**3/4 - 10*k**2 + 3*k = 0 for k.
-2, 0, 1/3, 2, 3
Factor a**2/6 - 32/3.
(a - 8)*(a + 8)/6
Determine u, given that -5*u**2 - 80*u - 240 = 0.
-12, -4
Find q, given that -q**5/5 + 64*q**4/5 - 1086*q**3/5 + 1984*q**2/5 - 961*q/5 = 0.
0, 1, 31
Factor 2*t**3/5 - 162*t/5.
2*t*(t - 9)*(t + 9)/5
Factor y**3/8 - 23*y**2/8 - 13*y/4 + 6.
(y - 24)*(y - 1)*(y + 2)/8
Factor -v**2 - 20*v.
-v*(v + 20)
Solve -248*v**3/5 - 294*v**2/5 - 42*v/5 + 4/5 = 0.
-1, -1/4, 2/31
Determine r so that -4*r**5/5 - 12*r**4/5 + 72*r**3/5 - 16*r**2/5 - 96*r/5 = 0.
-6, -1, 0, 2
Determine w so that 2*w**2 + 2768*w - 5544 = 0.
-1386, 2
Factor -2*g**4/3 - 163*g**3/3 - 27*g**2.
-g**2*(g + 81)*(2*g + 1)/3
Factor 4*d**3 + 40*d**2 + 76*d - 120.
4*(d - 1)*(d + 5)*(d + 6)
Factor 3*s**3 - 162*s**2 + 987*s.
3*s*(s - 47)*(s - 7)
Find b, given that -9*b**5/2 + 3*b**4 + 15*b**3 - 21*b/2 - 3 = 0.
-1, -1/3, 1, 2
Solve 4*u**5 - 1898*u**4 - 956*u**3 + 2848*u**2 + 952*u - 950 = 0.
-1, 1/2, 1, 475
Suppose 2*i**3/3 - 26*i**2 + 50*i - 74/3 = 0. What is i?
1, 37
Solve -2*n**3 + 1926*n**2 - 618246*n + 66152322 = 0.
321
What is q in -5*q**3/2 - 25*q**2 = 0?
-10, 0
Determine t, given that -15*t**2 + 144*t + 60 = 0.
-2/5, 10
Factor 4*q**3 + 180*q**2 + 1148*q - 1332.
4*(q - 1)*(q + 9)*(q + 37)
Let 3*j**2 + 135*j + 132 = 0. What is j?
-44, -1
Factor -2*k**2/9 - 256*k/9 + 520/9.
-2*(k - 2)*(k + 130)/9
Suppose 4*y**5 - 20*y**4 - 52*y**3 + 116*y**2 + 288*y + 144 = 0. What is y?
-2, -1, 3, 6
Factor a**3/3 - 18*a**2 + 324*a - 1944.
(a - 18)**3/3
Factor -f**3 + 13*f**2 - 10*f - 24.
-(f - 12)*(f - 2)*(f + 1)
Find u, given that u**5 - 209*u**4 + 10603*u**3 + 33073*u**2 + 33496*u + 11236 = 0.
-1, 106
Factor 3*z**4/7 + 12*z**3/7 + 9*z**2/7 - 12*z/7 - 12/7.
3*(z - 1)*(z + 1)*(z + 2)**2/7
Find l, given that -10*l**5 - 24*l**4 + 182*l**3 - 204*l**2 + 8*l + 48 = 0.
-6, -2/5, 1, 2
Suppose 56*z**2/5 + 4*z/5 = 0. Calculate z.
-1/14, 0
Determine l so that -2*l**3/3 - 22*l**2/3 - 20*l/3 = 0.
-10, -1, 0
Solve -2*s**4/19 + 24*s**3/19 - 54*s**2/19 - 80*s/19 = 0 for s.
-1, 0, 5, 8
Find x, given that -x**3/6 - 5*x**2/6 + x/6 + 5/6 = 0.
-5, -1, 1
Factor -147*w**3 + 777*w**2 + 1656*w + 756.
-3*(w - 7)*(7*w + 6)**2
Factor c**2/4 - c/2.
c*(c - 2)/4
Find c such that -6*c**5 + 70*c**4 - 206*c**3 + 258*c**2 - 148*c + 32 = 0.
2/3, 1, 8
Factor -j**5 + 18*j**4 - 69*j**3 + 52*j**2.
-j**2*(j - 13)*(j - 4)*(j - 1)
Factor -5*q**3 - 40*q**2 - 75*q.
-5*q*(q + 3)*(q + 5)
Solve -16*k**5 + 162*k**4 - 388*k**3 - 114*k**2 + 404*k - 48 = 0.
-1, 1/8, 1, 4, 6
Find m, given that 3*m**5 + 54*m**4 + 288*m**3 + 384*m**2 = 0.
-8, -2, 0
Factor -2*i**3/7 - 2832*i**2/7 - 1336704*i/7 - 210308096/7.
-2*(i + 472)**3/7
Solve n**4/6 + n**3/2 - n**2/3 - 2*n - 4/3 = 0.
-2, -1, 2
Suppose 3*d**2/2 + 45*d/2 + 39 = 0. What is d?
-13, -2
Solve 2*n**4/5 - 12*n**3/5 - 14*n**2/5 + 24*n = 0.
-3, 0, 4, 5
Factor -5*t**2 + 50*t - 105.
-5*(t - 7)*(t - 3)
Factor 4*m**2 + 72*m + 128.
4*(m + 2)*(m + 16)
Factor 3*a**3 + 183*a**2 - 768*a + 780.
3*(a - 2)**2*(a + 65)
Factor l**2 - l - 6.
(l - 3)*(l + 2)
Factor 52*k**3 + 372*k**2 - 360*k - 64.
4*(k - 1)*(k + 8)*(13*k + 2)
Factor 2*k**3/3 + 2474*k**2/3 + 763846*k/3 - 766322/3.
2*(k - 1)*(k + 619)**2/3
Factor 4*s**4/3 + 736*s**3/3 + 33856*s**2/3.
4*s**2*(s + 92)**2/3
Factor -2*m**2/17 + 160*m/17 - 462/17.
-2*(m - 77)*(m - 3)/17
Determine k, given that 4*k**2/3 + 264*k + 13068 = 0.
-99
Determine n so that 2*n**3/11 + 18*n**2/11 - 20*n/11 = 0.
-10, 0, 1
Suppose -12*p**4 - 152*p**3 - 420*p**2 - 216*p = 0. Calculate p.
-9, -3, -2/3, 0
What is h in -2*h**3/9 - 16*h**2/9 + 38*h/9 - 20/9 = 0?
-10, 1
Factor -4*h**3 - 12*h**2 + 40*h + 96.
-4*(h - 3)*(h + 2)*(h + 4)
Determine d, given that -d**5 + 2*d**4 + 16*d**3 - 2*d**2 - 15*d = 0.
-3, -1, 0, 1, 5
Factor -t**2/2 - 2509*t/6 + 279.
-(t + 837)*(3*t - 2)/6
Factor -5*h**2 - 85*h - 80.
-5*(h + 1)*(h + 16)
Solve 3*i**2 - 14622*i + 17816907 = 0.
2437
Factor 5*w**4 + 175*w**3 + 1845*w**2 + 5265*w - 7290.
5*(w - 1)*(w + 9)**2*(w + 18)
Solve 5*f**3 + 7175*f**2 + 2577615*f + 2570445 = 0 for f.
-717, -1
Find b, given that -b**4/4 - b**3/4 + 9*b**2/4 + 9*b/4 = 0.
-3, -1, 0, 3
What is j in j**4/3 - 131*j**3/3 + 512*j**2/3 - 508*j/3 = 0?
0, 2, 127
Solve 2*s**4/5 - 42*s**3/5 - 1894*s**2/5 + 42*s/5 + 1892/5 = 0 for s.
-22, -1, 1, 43
Factor -2*c**5/5 - 6*c**4 - 32*c**3 - 80*c**2 - 96*c - 224/5.
-2*(c + 2)**4*(c + 7)/5
Factor 2*d**5/5 - 48*d**3/5 + 128*d**2/5 - 96*d/5.
2*d*(d - 2)**3*(d + 6)/5
Factor -2*i**3/5 + 26*i**2/5 - 22*i + 30.
-2*(i - 5)**2*(i - 3)/5
Factor -169*q**3 - 715*q**2 - 688*q - 192.
-(q + 3)*(13*q + 8)**2
Factor g**5/7 + g**4/7 - 6*g**3/7 - 4*g**2/7 + 8*g/7.
g*(g - 2)*(g - 1)*(g + 2)**2/7
Factor 2*v**4/3 + 4*v**3 - 44*v/3 + 10.
2*(v - 1)**2*(v + 3)*(v + 5)/3
Determine v so that 2*v**5/7 - 18*v**4/7 - 10*v**3 - 30*v**2/7 + 68*v/7 + 48/7 = 0.
-2, -1, 1, 12
Let -o**4/3 - 11*o**3 - 105*o**2 - 931*o/3 = 0. What is o?
-19, -7, 0
Factor c**4/8 - c**3 - 3*c**2 + 36*c - 54.
(c - 6)**2*(c - 2)*(c + 6)/8
Find q, given that 5*q**2 - 20090*q + 20180405 = 0.
2009
Determine t, given that 2*t**2/13 - 32*t/13 - 72/13 = 0.
-2, 18
Determine f, given that -483*f**4 - 957*f**3 + 18*f**2 = 0.
-2, 0, 3/161
Factor -5*r**4 - 100*r**3 - 415*r**2 + 520*r.
-5*r*(r - 1)*(r + 8)*(r + 13)
Factor -2*m**2/9 + 34*m/3 - 460/9.
-2*(m - 46)*(m - 5)/9
Factor -25*j**2/2 - 2965*j - 351649/2.
-(5*j + 593)**2/2
Factor -4*d**2/5 - 292*d/5 - 568/5.
-4*(d + 2)*(d + 71)/5
Find q such that 5*q**3 - 80*q**2 + 240*q = 0.
0, 4, 12
Find i such that 2*i**3/3 - 320*i**2/3 + 13114*i/3 - 24964/3 = 0.
2, 79
Determine b so that b**5/2 + b**4/2 - 19*b**3 + 62*b**2 - 76*b + 32 = 0.
-8, 1, 2
Factor -2*l**4/11 - 828*l**3/11 - 88146*l**2/11 - 506736*l/11 - 749088/11.
-2*(l + 3)**2*(l + 204)**2/11
Suppose 2*b**5 - 26*b**4 + 132*b**3 - 324*b**2 + 378*b - 162 = 0. What is b?
1, 3
What is s in 5*s**5 + 3550*s**4 + 835400*s**3 + 64022000*s**2 - 266226800*s + 269625440 = 0?
-238, 2
What is c in 2*c**4 + 7*c**3/4 - 73*c**2/4 - 63*c/4 + 9/4 = 0?
-3, -1, 1/8, 3
Factor -n**3/11 - 61*n**2/11 + 190*n/11 - 128/11.
-(n - 2)*(n - 1)*(n + 64)/11
What is r in 2*r**5 + 272*r**4 - 280*r**3 - 820*r**2 + 278*r + 548 = 0?
-137, -1, 1, 2
What is x in -2*x**2/5 + 2*x/5 + 12/5 = 0?
-2, 3
Factor h**3/8 + 73*h**2/4 + 5329*h/8.
h*(h + 73)**2/8
Factor -2*g**4 + 1620*g**3 - 328050*g**2.
-2*g**2*(g - 405)**2
Factor 75*s**2/4 + 80*s.
5*s*(15*s + 64)/4
Determine c so that -2*c**2/7 = 0.
0
Suppose 7*u**3/6 + 13*u**2/3 - 4*u/3 = 0. Calculate u.
-4, 0, 2/7
Let 28*j**3 + 5780*j**2/9 - 128*j/3 - 368/9 = 0. What is j?
-23, -2/9, 2/7
Factor 3*v**2 - 108*v + 105.
3*(v - 35)*(v - 1)
Solve -5*c**3 + 675*c**2 - 670*c = 0.
0, 1, 134
Factor -3*x**2 + 69*x - 66.
-3*(x - 22)*(x - 1)
Determine x so that 6*x**2/11 - 9534*x/11 = 0.
0, 1589
Factor -3*r**3 - 21*r**2 - 42*r - 24.
-3*(r + 1)*(r + 2)*(r + 4)
Solve -m**2/6 - 49*m/3 - 120 = 0 for m.
-90, -8
Suppose -h**4 - 2*h**3 + 49*h**2 + 2*h - 48 = 0. What is h?
-8, -1, 1, 6
Solve -2*n**5/17 - 2*n**4/17 + 58*n**3/17 - 54*n**2/17 - 216*n/17 + 216/17 = 0 for n.
-6, -2, 1, 3
Suppose -2*i**3 + 152*i**2 = 0. Calculate i.
0, 76
Factor 6*f**2 + 214*f.
2*f*(3*f + 107)
Factor -o**2 + 172*o + 348.
-(o - 174)*(o + 2)
Factor 2*s**5/9 - 4*s**4/9 - 8*s**3/9 + 16*s**2/9.
2*s**2*(s - 2)**2*(s + 2)/9
Factor -2*h**3/17 + 72*h**2/17.
-2*h**2*(h - 36)/17
Factor -5*y**3 - 35*y**2 + 50*y + 80.
-5*(y - 2)*(y + 1)*(y + 8)
Factor 5*c**4 - 155*c**3 - 510*c**2.
5*c**2*(c - 34)*(c + 3)
Factor 4*y**4 - 1216*y**3 - 4*y**2 + 1216*y.
4*y*(y - 304)*(y - 1)*(y + 1)
Find i, given that -2*i**3/11 - 3110*i**2/11 + 12464*i/11 - 12472/11 = 0.
-1559, 2
Find x, given that 5*x**3 + 695*x**2 + 8995*x + 30625 = 0.
-125, -7
Solve -3*p**3/4 - 459*p**2/4 - 4446*p - 4332 = 0 for p.
-76, -1
What is i in i**4/6 + 41*i**3/6 + 123*i**2/2 + 619*i/6 + 145/3 = 0?
-29, -10, -1
Solve -2*p**4/3 - 478*p**3/3 - 9598*p**2 - 27370*p/3 + 56644/3 = 0.
-119, -2, 1
Factor s**2/7 - 251*s/7 + 250/7.
(s - 250)*(s - 1)/7
Solve 3*s**2 - 3 = 0.
-1, 1
Let z**5/3 + 8*z**4 - 109*z**3/3 + 88*z**2/3 + 36*z - 112/3 = 0. What is z