*m**3/3 + 38*m**2/3 - 12*m = 0. Calculate m.
-1, 0, 1/3, 18
Factor j**2 - 43*j - 90.
(j - 45)*(j + 2)
Suppose 2*t**4 - 52*t**3/3 - 6*t**2 = 0. What is t?
-1/3, 0, 9
Suppose -3*j**5 + 9*j**4 - 9*j**3 + 3*j**2 = 0. What is j?
0, 1
Factor 5*y**3 + 3585*y**2 - 3590*y.
5*y*(y - 1)*(y + 718)
Find d such that -4*d**3 + 252*d**2 + 256*d = 0.
-1, 0, 64
Factor -3*v**2 - 15*v + 18.
-3*(v - 1)*(v + 6)
Let x**4/3 + 2*x**3/3 - 4*x**2/3 - 2*x/3 + 1 = 0. Calculate x.
-3, -1, 1
Suppose -4*y**2 - 1960*y - 240100 = 0. What is y?
-245
Factor 6*s**2/7 + 132*s/7 + 726/7.
6*(s + 11)**2/7
Find i, given that 2*i**3/7 + 130*i**2/7 - 38*i + 134/7 = 0.
-67, 1
Factor -7*f**3 + 65*f**2 - 74*f + 16.
-(f - 8)*(f - 1)*(7*f - 2)
Let 2*q**5 - 374*q**4/5 + 508*q**3/5 - 144*q**2/5 = 0. Calculate q.
0, 2/5, 1, 36
Determine s, given that -2*s**2 - 2464*s + 2466 = 0.
-1233, 1
Solve 5*n**3/6 - 190*n**2/3 - 5*n/6 + 190/3 = 0.
-1, 1, 76
Determine l so that -14*l**5 + 32*l**4 + 34*l**3 - 68*l**2 - 40*l + 16 = 0.
-1, 2/7, 2
Factor -5*v**2 - 5*v/4 + 25/4.
-5*(v - 1)*(4*v + 5)/4
Factor 3*z**2/8 + 1011*z/8 + 1005/4.
3*(z + 2)*(z + 335)/8
Factor 2*j**3/3 - 24*j**2 - 26*j + 148/3.
2*(j - 37)*(j - 1)*(j + 2)/3
What is g in -4*g**2/5 + 144*g/5 + 304/5 = 0?
-2, 38
Let 13*q**4/3 - 209*q**3/6 + 251*q**2/3 - 331*q/6 + 2 = 0. What is q?
1/26, 1, 3, 4
What is u in -3*u**2/4 + 6750*u - 15187500 = 0?
4500
Let 2*k**5 + 14*k**4/13 - 114*k**3/13 - 166*k**2/13 - 64*k/13 = 0. Calculate k.
-1, 0, 32/13
Suppose 2*a**2/13 - 44*a - 2320/13 = 0. Calculate a.
-4, 290
Factor n**2 + 108*n - 109.
(n - 1)*(n + 109)
Let 10*p**5 - 295*p**4/2 + 465*p**3/2 - 125*p**2/2 - 65*p/2 = 0. What is p?
-1/4, 0, 1, 13
Let 18*w**4 + 118*w**3 + 214*w**2 + 42*w - 72 = 0. What is w?
-3, -1, 4/9
Factor -2*v**3/3 + 26*v**2/3 + 6*v - 270.
-2*(v - 9)**2*(v + 5)/3
Factor 3*c**2/4 + 69*c/2 + 1587/4.
3*(c + 23)**2/4
Suppose -2*m**4/5 + 524*m**3/5 = 0. What is m?
0, 262
Let a**2/5 - 4/5 = 0. What is a?
-2, 2
Factor 3*r**3/5 + 12*r**2 + 339*r/5 + 462/5.
3*(r + 2)*(r + 7)*(r + 11)/5
Let 2*n**3/5 - 6*n**2 - 36*n/5 + 64/5 = 0. Calculate n.
-2, 1, 16
Suppose -2*u**5/15 + 274*u**4/15 - 36*u**3 - 4*u**2/15 + 542*u/15 - 18 = 0. Calculate u.
-1, 1, 135
Factor 3*t**2 - 4545*t/2 + 2271/2.
3*(t - 757)*(2*t - 1)/2
Factor 5*t**5 + 35*t**4 + 15*t**3 - 115*t**2 - 160*t - 60.
5*(t - 2)*(t + 1)**3*(t + 6)
Factor j**3/8 + j**2/2 + 5*j/8 + 1/4.
(j + 1)**2*(j + 2)/8
Determine w, given that 5*w**3 + 375*w**2 - 770*w = 0.
-77, 0, 2
Find y such that 5*y**5 - 30*y**4 - 10*y**3 + 60*y**2 + 5*y - 30 = 0.
-1, 1, 6
Factor l**2/3 + l - 6.
(l - 3)*(l + 6)/3
What is l in l**4/5 + 494*l**3/5 + 61989*l**2/5 + 48412*l + 48020 = 0?
-245, -2
Factor -4*x**3 + 32*x**2 + 180*x + 144.
-4*(x - 12)*(x + 1)*(x + 3)
Suppose -4*l**3 - 396*l**2 - 1536*l - 1520 = 0. Calculate l.
-95, -2
Let -3*h**2 - 231*h = 0. Calculate h.
-77, 0
Factor -c**3 + 44*c**2 - 637*c + 3042.
-(c - 18)*(c - 13)**2
Determine m so that -4*m**5 - 44*m**4 - 76*m**3 - 36*m**2 = 0.
-9, -1, 0
Solve 3*b**2/7 - 6*b + 21 = 0 for b.
7
Factor -5*z**4/2 + 1280*z**3 - 330225*z**2/2 + 325125*z.
-5*z*(z - 255)**2*(z - 2)/2
Factor -5*t**3 - 20*t**2 + 15*t + 90.
-5*(t - 2)*(t + 3)**2
Let -v**2/4 + 195*v/4 - 1903/2 = 0. Calculate v.
22, 173
Factor 2*f**3/5 - 14*f**2 + 676*f/5 - 1088/5.
2*(f - 17)*(f - 16)*(f - 2)/5
Suppose 19*a**3/5 + 8*a**2 + 23*a/5 + 2/5 = 0. Calculate a.
-1, -2/19
Let w**5 + w**4 - w**3 - w**2 = 0. What is w?
-1, 0, 1
Determine k, given that -140*k**5/9 - 26*k**4/3 + 626*k**3/9 + 316*k**2/9 - 88*k/3 - 16/9 = 0.
-2, -1, -2/35, 1/2, 2
Determine j, given that j**2/4 + 160*j + 25600 = 0.
-320
Suppose -j**2/3 + 49/3 = 0. Calculate j.
-7, 7
Factor -4*p**4 + 16*p**3 + 72*p**2 + 80*p + 28.
-4*(p - 7)*(p + 1)**3
Factor 5*f**4 - 10*f**3 - 15*f**2.
5*f**2*(f - 3)*(f + 1)
Suppose 4*q**2 + 536*q + 17956 = 0. Calculate q.
-67
Find z, given that -2*z**3/7 - 104*z**2/7 - 1242*z/7 + 2916/7 = 0.
-27, 2
Solve -6*i**2 - 1444*i + 482 = 0 for i.
-241, 1/3
Suppose 75*f**5/2 + 345*f**4 - 2394*f**3 + 1740*f**2 - 336*f = 0. Calculate f.
-14, 0, 2/5, 4
Factor -x**4 + 29*x**3 + 129*x**2 + 99*x.
-x*(x - 33)*(x + 1)*(x + 3)
Factor 3*o**5 + 30*o**4 + 51*o**3 + 24*o**2.
3*o**2*(o + 1)**2*(o + 8)
What is k in -3*k**2 + 15*k = 0?
0, 5
Factor -f**4 + 3*f**3 - f**2 - 3*f + 2.
-(f - 2)*(f - 1)**2*(f + 1)
Factor 5*v**2 - 75*v.
5*v*(v - 15)
Find z, given that 4*z**5/7 + 4*z**4/7 - 76*z**3/7 + 44*z**2/7 + 120*z/7 = 0.
-5, -1, 0, 2, 3
Determine r so that 2*r**4 - 14*r**3 + 30*r**2 - 18*r = 0.
0, 1, 3
Factor 29*u**5 + 201*u**4 + 421*u**3 + 347*u**2 + 90*u - 8.
(u + 1)**3*(u + 4)*(29*u - 2)
Factor 10*r**4/9 + 2*r**3 - 4*r**2/9.
2*r**2*(r + 2)*(5*r - 1)/9
Factor -3*p**3 + 225*p**2 + 459*p + 231.
-3*(p - 77)*(p + 1)**2
Solve 54*j**5 + 30*j**4 - 50*j**3 - 30*j**2 - 4*j = 0.
-1, -1/3, -2/9, 0, 1
Solve -z**4/8 + 3*z**3/4 - z**2 - 3*z/4 + 9/8 = 0.
-1, 1, 3
Determine l so that -3*l**5/2 - 12*l**4 - 75*l**3/2 - 57*l**2 - 42*l - 12 = 0.
-2, -1
Find n, given that 70*n**2/3 + 346*n/15 - 4/15 = 0.
-1, 2/175
Solve 2*a**4/17 - 2*a**3/17 - 60*a**2/17 - 152*a/17 - 112/17 = 0.
-2, 7
Factor -x**3/2 + 28*x**2 - 104*x.
-x*(x - 52)*(x - 4)/2
Let 3*z**2 - 951*z - 1914 = 0. What is z?
-2, 319
Find s such that s**2/2 + 9*s/2 - 5 = 0.
-10, 1
Find o such that -2*o**4/5 + 34*o**3/5 + 2*o**2/5 - 34*o/5 = 0.
-1, 0, 1, 17
Factor 35*g**4 - 60*g**3 - 720*g**2 - 1040*g - 240.
5*(g - 6)*(g + 2)**2*(7*g + 2)
Solve s**5 + 19*s**4 - 2*s**3 - 38*s**2 + s + 19 = 0.
-19, -1, 1
Factor -74*z**4/3 + 218*z**3/3 - 70*z**2 + 62*z/3 + 4/3.
-2*(z - 1)**3*(37*z + 2)/3
Factor -3*b**2 + 6*b.
-3*b*(b - 2)
Suppose -a**2/3 + 26*a/3 + 1127/3 = 0. What is a?
-23, 49
Factor 4*j**3/5 - 29*j**2/5 - 103*j/5 - 14.
(j - 10)*(j + 1)*(4*j + 7)/5
Factor -13*c**3/6 + 41*c**2/6 - 16*c/3 + 2/3.
-(c - 2)*(c - 1)*(13*c - 2)/6
Factor 3*n**2/2 + 81*n - 165/2.
3*(n - 1)*(n + 55)/2
Factor -2*p**3/5 - 52*p**2/15 - 32*p/15.
-2*p*(p + 8)*(3*p + 2)/15
Factor -5*s**2 + 30*s - 40.
-5*(s - 4)*(s - 2)
Factor s**5/6 + 755*s**4/3 + 456020*s**3/3 + 137718040*s**2/3 + 20795424040*s/3 + 1256043612016/3.
(s + 302)**5/6
Factor 2*p**4 + 22*p**3 - 24*p**2.
2*p**2*(p - 1)*(p + 12)
Let 14*a**2 - 68*a - 10 = 0. Calculate a.
-1/7, 5
Suppose 2*u**3/5 - 66*u**2/5 + 126*u - 270 = 0. Calculate u.
3, 15
Factor 2*d**3 - 516*d**2 + 44376*d - 1272112.
2*(d - 86)**3
Find p such that -2*p**2/3 - 102*p + 1580/3 = 0.
-158, 5
What is w in -2*w**4/7 + 4*w**3/7 - 2*w**2/7 = 0?
0, 1
Factor -12*w**2 - 15*w - 3.
-3*(w + 1)*(4*w + 1)
Factor -6*w**3/5 - 9714*w**2/5 + 19446*w/5 - 9726/5.
-6*(w - 1)**2*(w + 1621)/5
Factor -2*y**3/17 - 18*y**2/17.
-2*y**2*(y + 9)/17
Find f, given that -5*f**5 - 65*f**4 - 150*f**3 + 20*f**2 + 200*f = 0.
-10, -2, 0, 1
Factor -2*t**4 + 6*t**2 - 4*t.
-2*t*(t - 1)**2*(t + 2)
Factor 5*k**4 - 20*k**3 - 300*k**2 + 1280*k - 1280.
5*(k - 8)*(k - 2)**2*(k + 8)
Factor -2*y**2 - 28*y - 98.
-2*(y + 7)**2
Find x, given that 5*x**2 - 2050*x + 210125 = 0.
205
Factor 5*v**4 - 1745*v**3 - 5*v**2 + 1745*v.
5*v*(v - 349)*(v - 1)*(v + 1)
Let -w**5 + 3*w**4 + 3*w**3 - 7*w**2 - 6*w = 0. What is w?
-1, 0, 2, 3
Factor -h**5 + 25*h**4 - 234*h**3 + 1010*h**2 - 1925*h + 1125.
-(h - 9)*(h - 5)**3*(h - 1)
Let -3*p**4 - 21*p**3/2 + 81*p**2/2 - 27*p = 0. What is p?
-6, 0, 1, 3/2
Suppose 4*c**4 + 12*c**3 + 12*c**2 + 4*c = 0. Calculate c.
-1, 0
Factor -3*c**3/8 + 2925*c**2/8 - 88938*c - 89304.
-3*(c - 488)**2*(c + 1)/8
Factor -4*v**4 + 24*v**3 + 460*v**2 - 2448*v - 6480.
-4*(v - 9)**2*(v + 2)*(v + 10)
Suppose -3*x**2/7 - 3*x + 132/7 = 0. What is x?
-11, 4
Solve 5*x**4 - 190*x**3 - 615*x**2 - 20*x + 820 = 0.
-2, 1, 41
Factor 4*o**2 + 52*o + 160.
4*(o + 5)*(o + 8)
Factor -3*s**2 - 36*s + 84.
-3*(s - 2)*(s + 14)
Determine r, given that 7*r**3/3 + 969*r**2 + 830*r/3 = 0.
-415, -2/7, 0
Factor 13*a**3/9 - 103*a**2/9 + 200*a/9 + 16/9.
(a - 4)**2*(13*a + 1)/9
Find k, given that k**3/3 - 70*k**2/3 + 137*k/3 - 68/3 = 0.
1, 68
Determine i so that -2*i**3/15 - 2*i**2/15 + 32*i/15 - 8/3 = 0.
-5, 2
Factor a**5/6 - 15*a**4/2 + 695*a**3/6 - 4795*a**2/6 + 2450*a - 7546/3.
(a - 22)*(a - 7)**3*(a - 2)/6
Factor 2*b**3/13 - 66*b**2/13 + 672*b/13 - 2176/13.
2*(b - 17)*(b - 8)**2/13
Determine c so that -5*c**2 + 50*c - 45 = 0.
1, 9
Find p such that -2*p**2/9 - 2*p = 0.
-9, 0
Let f**2 - 33