- 9*v**2 + 20*v - 12.
(v - 6)*(v - 2)*(v - 1)
Factor n**4/6 + n**3/2 - 10*n**2/3 - 8*n + 32/3.
(n - 4)*(n - 1)*(n + 4)**2/6
Solve -18*m**4/13 - 174*m**3/13 - 44*m**2/13 + 640*m/13 + 576/13 = 0.
-9, -4/3, 2
Factor t**5 + 11*t**4 - 12*t**3.
t**3*(t - 1)*(t + 12)
Find p, given that 5*p**5 + 15*p**4 + 10*p**3 - 10*p**2 - 15*p - 5 = 0.
-1, 1
Factor 4*g**3/5 + 92*g**2/5 - 312*g/5.
4*g*(g - 3)*(g + 26)/5
Factor -3*x**3 - 2418*x**2 - 487227*x.
-3*x*(x + 403)**2
Factor 6*x**5 - 4*x**4 - 2*x**3.
2*x**3*(x - 1)*(3*x + 1)
Factor 3*k**4/4 + 33*k**3/2 - 3*k**2/4 - 33*k/2.
3*k*(k - 1)*(k + 1)*(k + 22)/4
Factor 2*s**3/11 + 1190*s**2/11 - 4784*s/11 + 4792/11.
2*(s - 2)**2*(s + 599)/11
Factor -2*q**4 - 16*q**3 - 12*q**2 + 16*q + 14.
-2*(q - 1)*(q + 1)**2*(q + 7)
Factor 1247*b**2/5 + 2*b/5.
b*(1247*b + 2)/5
Let 4*u**3/7 + 8*u**2 + 228*u/7 + 288/7 = 0. What is u?
-8, -3
Factor -3*z**5 - 12*z**4 + 6*z**3 + 36*z**2 - 27*z.
-3*z*(z - 1)**2*(z + 3)**2
Factor 4*q**5 - 28*q**4 + 24*q**3.
4*q**3*(q - 6)*(q - 1)
Suppose -4*r**4/3 - 328*r**3/3 - 2304*r**2 - 18792*r - 53460 = 0. What is r?
-55, -9
Factor 3*l**5 + 6270*l**4 + 5241720*l**3 + 2191038960*l**2 + 457927142640*l + 38282709124704.
3*(l + 418)**5
Solve 5*d**4 + 70*d**3 - 85*d**2 - 150*d = 0.
-15, -1, 0, 2
Factor 2*h**2/7 + 30*h/7 + 52/7.
2*(h + 2)*(h + 13)/7
Let 2*y**5/9 + 52*y**4 - 944*y**3/9 + 4*y**2/9 + 314*y/3 - 472/9 = 0. What is y?
-236, -1, 1
Determine c so that -24*c**4 - 148*c**3 - 308*c**2 - 268*c - 84 = 0.
-3, -7/6, -1
Factor 2*l**2 - 34*l + 60.
2*(l - 15)*(l - 2)
Determine x, given that x**2/2 + 872*x + 380192 = 0.
-872
Factor 4*o**2 + 124*o.
4*o*(o + 31)
Find s such that 2*s**5 - 18*s**4 + 46*s**3 - 30*s**2 = 0.
0, 1, 3, 5
Suppose 4*i**2 + 1308*i = 0. What is i?
-327, 0
Suppose -4*h**3 - 56*h**2 + 288*h = 0. What is h?
-18, 0, 4
What is c in 60*c**5 - 284*c**4 + 324*c**3 + 12*c**2 - 160*c + 48 = 0?
-2/3, 2/5, 1, 3
Factor d**5/4 + d**4/4 - 3*d**3/2 - d**2 + 2*d.
d*(d - 2)*(d - 1)*(d + 2)**2/4
Suppose 4*c**5/7 + 68*c**4/7 + 300*c**3/7 + 380*c**2/7 - 32*c - 528/7 = 0. Calculate c.
-11, -3, -2, 1
Solve 9*w**3/4 - 267*w**2/4 - 45*w/2 = 0 for w.
-1/3, 0, 30
Factor 3*v**3 - 30*v**2 - 156*v - 168.
3*(v - 14)*(v + 2)**2
Find w such that -5*w**4 + 35*w**3 - 55*w**2 + 25*w = 0.
0, 1, 5
Determine o, given that o**3/2 + 13*o**2/2 = 0.
-13, 0
Factor -w**2/5 + 944*w/5 - 222784/5.
-(w - 472)**2/5
Solve -2*j**2/7 - 24*j/7 - 22/7 = 0.
-11, -1
Solve -t**3/5 + 18*t**2/5 - 17*t/5 = 0 for t.
0, 1, 17
Factor 5618*y**2/3 + 424*y/3 + 8/3.
2*(53*y + 2)**2/3
Factor a**2 + 73*a + 72.
(a + 1)*(a + 72)
Factor -y**3/5 - 21*y**2/5 - 72*y/5 + 432/5.
-(y - 3)*(y + 12)**2/5
Factor x**5/4 + 13*x**4 - 81*x**3/2 + 41*x**2 - 55*x/4.
x*(x - 1)**3*(x + 55)/4
Let -2*o**2/3 - 142*o/3 + 148 = 0. What is o?
-74, 3
Factor 4*q**2 - 164*q.
4*q*(q - 41)
Factor 2*l**4/7 + 2*l**3 + 26*l**2/7 - 6*l/7 - 36/7.
2*(l - 1)*(l + 2)*(l + 3)**2/7
Let -4*y**2 + 12*y + 160 = 0. What is y?
-5, 8
Factor -z**4/2 + 33*z**3/2 + z**2/2 - 33*z/2.
-z*(z - 33)*(z - 1)*(z + 1)/2
Determine c, given that c**5/3 - c**4/3 - c**3/3 + c**2/3 = 0.
-1, 0, 1
Find j, given that -241*j**2 + 238*j + 3 = 0.
-3/241, 1
Suppose -12*s**3 - 69*s**2 + 102*s - 21 = 0. Calculate s.
-7, 1/4, 1
Factor 5*i**4 + 5*i**3 - 15*i**2 - 25*i - 10.
5*(i - 2)*(i + 1)**3
Factor -2*m**3/7 + 282*m**2/7 + 1472*m/7 - 1752/7.
-2*(m - 146)*(m - 1)*(m + 6)/7
Suppose -126*r**4 - 8*r**3 + 512*r**2 + 32*r - 32 = 0. What is r?
-2, -2/7, 2/9, 2
Suppose -2*r**3/7 + 116*r**2/7 - 814*r/7 + 100 = 0. What is r?
1, 7, 50
Factor 4*r**3 - 16*r**2 - 320*r - 768.
4*(r - 12)*(r + 4)**2
What is m in -3*m**5 + 57*m**3 - 102*m**2 - 36*m + 120 = 0?
-5, -1, 2
Suppose -n**3 - 4680*n**2 - 5480277*n - 10941842 = 0. Calculate n.
-2339, -2
Find l such that -2*l**5/11 + 20*l**4/11 - 76*l**3/11 + 136*l**2/11 - 114*l/11 + 36/11 = 0.
1, 2, 3
Determine h, given that -2*h**4/3 - 88*h**3/3 - 292*h**2 + 2024*h/3 - 1058/3 = 0.
-23, 1
Factor 2*u**2/13 + 42*u/13 - 20.
2*(u - 5)*(u + 26)/13
Determine h so that -2*h**5/11 - 16*h**4/11 - 36*h**3/11 + 54*h/11 = 0.
-3, 0, 1
Determine t so that -t**2 - 17*t + 138 = 0.
-23, 6
Factor 5*m**3 + 795*m**2.
5*m**2*(m + 159)
Factor 4*d**4 - 36*d**2 + 16*d + 48.
4*(d - 2)**2*(d + 1)*(d + 3)
Let 2*t**4/15 - 6*t**3/5 - 68*t**2/15 - 16*t/5 = 0. Calculate t.
-2, -1, 0, 12
Factor -5*j**2 - 1290*j - 83205.
-5*(j + 129)**2
Factor x**2/6 - 36*x.
x*(x - 216)/6
Find b such that -3*b**5/2 + 43*b**4/4 + 11*b**3/4 - 141*b**2/4 + 107*b/4 - 7/2 = 0.
-2, 1/6, 1, 7
Solve 6*y**4/5 - 2118*y**3/5 - 17232*y**2/5 - 34656*y/5 = 0.
-4, 0, 361
Factor 4*x**2 + 16*x + 12.
4*(x + 1)*(x + 3)
Find w such that 3*w**3 + 84*w**2 + 495*w - 1350 = 0.
-15, 2
Find z, given that -5*z**2 - 3050*z - 465125 = 0.
-305
Let -5*k**2 + 70*k = 0. Calculate k.
0, 14
Factor 8*h**2/5 + 59*h/5.
h*(8*h + 59)/5
Factor -k**2/6 + 8*k.
-k*(k - 48)/6
Solve -3*w**3 + 72*w**2 - 249*w + 180 = 0.
1, 3, 20
What is c in -10*c**4 + 15*c**3 + 1435*c**2 - 2160*c + 720 = 0?
-12, 1/2, 1, 12
Let -h**3/2 + 125*h**2/2 + 524*h + 1064 = 0. What is h?
-4, 133
Factor 2*p**3 - 6*p**2 - 36*p.
2*p*(p - 6)*(p + 3)
Suppose 2*m**3/17 + 4*m**2/17 + 2*m/17 = 0. Calculate m.
-1, 0
Factor -2*z**4 + 32*z**3 - 176*z**2 + 384*z - 288.
-2*(z - 6)**2*(z - 2)**2
Factor -2*f**3/5 - 164*f**2/5 - 704*f - 1280.
-2*(f + 2)*(f + 40)**2/5
Factor 2*h**3/13 - 2170*h**2/13 + 587526*h/13 + 589698/13.
2*(h - 543)**2*(h + 1)/13
Determine i so that -i**3 - 930*i**2 - 288300*i - 29791000 = 0.
-310
Find x, given that -2*x**3/3 + 8*x**2/3 + 142*x/3 + 44 = 0.
-6, -1, 11
Let -b**3/5 + 2019*b**2/5 - 807*b + 2017/5 = 0. Calculate b.
1, 2017
Let -2*r**5/5 - 3026*r**4/5 - 1524092*r**3/5 - 50903596*r**2 + 102724070*r - 51515050 = 0. What is r?
-505, 1
Determine m, given that -2*m**5 + 58*m**4 - 252*m**3 - 2420*m**2 - 3842*m - 1734 = 0.
-3, -1, 17
Factor 2*o**2/15 + 44*o/3 + 1210/3.
2*(o + 55)**2/15
Factor 1369*v**4/2 - 1443*v**3 + 1669*v**2/2 - 78*v + 2.
(v - 1)**2*(37*v - 2)**2/2
Factor 4*z**5/5 - 32*z**4/5 + 64*z**3/5.
4*z**3*(z - 4)**2/5
Find v such that 3*v**3 - 189*v**2 + 369*v - 183 = 0.
1, 61
Determine i, given that -2*i**3/7 + 786*i**2/7 = 0.
0, 393
What is d in 2*d**4/3 + 61*d**3/6 + 167*d**2/6 + 67*d/3 + 4 = 0?
-12, -2, -1, -1/4
What is i in -4*i**5/5 + 38*i**4/5 - 136*i**3/5 + 46*i**2 - 184*i/5 + 56/5 = 0?
1, 2, 7/2
Determine v, given that -2*v**5 + 4*v**4 + 18*v**3 - 36*v**2 = 0.
-3, 0, 2, 3
Determine r, given that -r**5/5 - 22*r**4/5 - 134*r**3/5 - 212*r**2/5 + 27*r + 234/5 = 0.
-13, -6, -3, -1, 1
Factor 2*n**3/3 + 26*n**2/3.
2*n**2*(n + 13)/3
Determine n so that 2*n**4/21 + 20*n**3/3 - 2*n**2/3 - 968*n/21 + 40 = 0.
-70, -3, 1, 2
Factor 3*q**5/5 - 354*q**4/5 + 2016*q**3 + 4320*q**2.
3*q**2*(q - 60)**2*(q + 2)/5
Solve 12*k**3 - 116*k**2 - 1192*k - 384 = 0 for k.
-6, -1/3, 16
What is m in -m**4/2 - 109*m**3/2 - 2871*m**2/2 - 28919*m/2 - 50578 = 0?
-76, -11
Factor -4*v**4 + 16*v**3 + 12*v**2 - 72*v.
-4*v*(v - 3)**2*(v + 2)
Factor 3*v**3 - 22*v**2 + 5*v + 14.
(v - 7)*(v - 1)*(3*v + 2)
Factor -2*d**3 - 2*d**2 + 24*d.
-2*d*(d - 3)*(d + 4)
Factor 5*b**5 - 30*b**4 + 60*b**3 - 50*b**2 + 15*b.
5*b*(b - 3)*(b - 1)**3
Find a such that -4*a**3 + 52*a**2 + 152*a - 480 = 0.
-4, 2, 15
Determine o so that -22*o**4 - 68*o**3 - 6*o**2 + 88*o + 8 = 0.
-2, -1/11, 1
Solve 4*s**3/3 - 16*s**2/3 - 76*s/3 - 56/3 = 0 for s.
-2, -1, 7
Solve -923*k**2 + 1848*k - 4 = 0.
2/923, 2
Suppose 96*l**5 + 92*l**4 - 1252*l**3 - 44*l**2 + 1156*l - 48 = 0. What is l?
-4, -1, 1/24, 1, 3
Factor -x**3/6 + 27*x**2/2 + 167*x + 460/3.
-(x - 92)*(x + 1)*(x + 10)/6
Factor 28*d**3 + 72*d**2 + 20*d - 24.
4*(d + 1)*(d + 2)*(7*d - 3)
Suppose 3*x**4 - 15*x**3 - 9*x**2 + 39*x + 30 = 0. Calculate x.
-1, 2, 5
Suppose 3*k**5/2 + 6*k**4 - 6*k**3 - 51*k**2 - 135*k/2 - 27 = 0. What is k?
-3, -2, -1, 3
Let -14*f**4/19 + 178*f**3/19 - 116*f**2/19 - 48*f/19 = 0. What is f?
-2/7, 0, 1, 12
Factor -2*d**3 - 34*d**2 - 88*d - 56.
-2*(d + 1)*(d + 2)*(d + 14)
Let -5*t**5 - 30*t**4 - 60*t**3 - 40*t**2 = 0. What is t?
-2, 0
Let 4*q**2 - 156*q - 880 = 0. What is q?
-5, 44
Solve -q**4/7 + 8*q**3/7 - 6*q**2/7 - 8*q/7 + 1 = 0 for q.
-1, 1, 7
Factor v**3/4 + 15*v**2/4 + 39*v/4 - 55/4.
(v - 1)*(v + 5)*(v + 11)/4
Factor p**2/4 + 39*p/4.
p*(p + 39)/4
Find m, given that 162*m**3/13 + 3528*m