07*k/2 - 105.
3*(k - 1)*(k + 70)/2
Factor -20*c**3 + 15*c**2 + 125*c + 30.
-5*(c - 3)*(c + 2)*(4*c + 1)
Suppose 2*m**4 - 34*m**3 + 98*m**2 + 114*m - 468 = 0. What is m?
-2, 3, 13
Find c such that -c**2/3 + 160*c/3 - 6400/3 = 0.
80
Solve -3*w**2 - 42*w + 153 = 0 for w.
-17, 3
Let -6*m**5/5 + 62*m**4/15 - 2*m**3/5 - 62*m**2/15 + 8*m/5 = 0. What is m?
-1, 0, 4/9, 1, 3
Factor 4*p**2 + 28*p + 48.
4*(p + 3)*(p + 4)
Suppose 2*u**3/5 - 32*u**2/5 - 34*u/5 = 0. What is u?
-1, 0, 17
Determine l so that -l**3/5 + 17*l**2/5 = 0.
0, 17
Find t such that 14*t**4/11 - 310*t**3/11 + 2352*t**2/11 - 6784*t/11 + 5120/11 = 0.
8/7, 5, 8
Factor 105*r**3 + 9*r**2 - 945*r - 81.
3*(r - 3)*(r + 3)*(35*r + 3)
Determine j, given that 3*j**5/4 - 3*j**4 - 33*j**3/2 + 75*j**2 - 225*j/4 = 0.
-5, 0, 1, 3, 5
Factor -4*j**3 - 1548*j**2 - 3084*j - 1540.
-4*(j + 1)**2*(j + 385)
Factor p**2/8 - 4*p - 273/8.
(p - 39)*(p + 7)/8
Factor -m**4 + 34*m**3 - 32*m**2 - 34*m + 33.
-(m - 33)*(m - 1)**2*(m + 1)
Factor -3*m**4/5 - 264*m**3 - 143871*m**2/5 + 293046*m/5.
-3*m*(m - 2)*(m + 221)**2/5
Factor 8*a**4 - 40*a**3 + 66*a**2 - 40*a + 8.
2*(a - 2)**2*(2*a - 1)**2
Factor 4*f**2/9 + 4936*f/9 + 1522756/9.
4*(f + 617)**2/9
Factor -3*u**3/2 + 15*u**2/2.
-3*u**2*(u - 5)/2
Determine q, given that 5*q**5 - 20*q**4 = 0.
0, 4
Factor -4*h**2/3 + 920*h/3 - 52900/3.
-4*(h - 115)**2/3
Determine i, given that 2*i**4 + 388*i**3 + 18818*i**2 = 0.
-97, 0
Solve -4*h**2 + 11992*h - 11988 = 0 for h.
1, 2997
Factor h**5/2 - 2*h**4 - 3*h**3 + 2*h**2 + 5*h/2.
h*(h - 5)*(h - 1)*(h + 1)**2/2
Factor -4*z**4 + 84*z**3 + 108*z**2 - 452*z + 264.
-4*(z - 22)*(z - 1)**2*(z + 3)
Factor 625*b**3 - 3475*b**2 + 1790*b - 200.
5*(b - 5)*(5*b - 2)*(25*b - 4)
Let b**5/3 - 57*b**4 + 7562*b**3/3 - 7168*b**2 + 4704*b = 0. Calculate b.
0, 1, 2, 84
Factor y**5/5 - 2*y**4/5 - 4*y**3 + 8*y**2/5 + 128*y/5 + 128/5.
(y - 4)**2*(y + 2)**3/5
Find u such that 11*u**2/4 - 101*u/4 + 9/2 = 0.
2/11, 9
Solve -2*y**4/17 - 548*y**3/17 - 1086*y**2/17 + 548*y/17 + 64 = 0 for y.
-272, -2, -1, 1
Determine q, given that -5*q**3 - 120*q**2 + 135*q + 250 = 0.
-25, -1, 2
Find q such that 4*q**3 + 36*q**2 + 108*q + 108 = 0.
-3
Suppose 10*s**2/3 - s/6 = 0. What is s?
0, 1/20
Factor c**2/5 - 21*c/10 - 18/5.
(c - 12)*(2*c + 3)/10
Factor 4*c**5 + 28*c**4 - 24*c**3 - 200*c**2 - 236*c - 84.
4*(c - 3)*(c + 1)**3*(c + 7)
Solve 2*r**5/5 - 22*r**4/5 + 54*r**3/5 - 10*r**2 + 16*r/5 = 0.
0, 1, 8
Determine o, given that -o**2 + 2244*o - 1258884 = 0.
1122
Factor 4*t**5 + 52*t**4 + 184*t**3 - 40*t**2 - 700*t + 500.
4*(t - 1)**2*(t + 5)**3
Find o, given that -2*o**2/17 + 16*o/17 - 32/17 = 0.
4
Factor -2*l**3/7 - 850*l**2/7 - 844*l/7 + 1696/7.
-2*(l - 1)*(l + 2)*(l + 424)/7
Determine x, given that x**4 + 191*x**3/3 + 3191*x**2/3 + 4681*x/3 - 1922/3 = 0.
-31, -2, 1/3
Solve y**5/6 + 37*y**4/6 + 59*y**3/6 - 397*y**2/6 - 70*y = 0.
-35, -4, -1, 0, 3
What is g in 3*g**3/5 + 48*g**2 + 4551*g/5 - 10086/5 = 0?
-41, 2
Solve -3*j**4 + 3*j**3 + 93*j**2 + 213*j + 126 = 0 for j.
-3, -2, -1, 7
Factor g**2/11 + 568*g/11 + 80656/11.
(g + 284)**2/11
Determine q so that -5*q**4 + 125*q**3 - 1095*q**2 + 3915*q - 4860 = 0.
3, 4, 9
Determine k, given that 4*k**3/5 + 16*k**2/5 - 128*k/5 = 0.
-8, 0, 4
Factor 2*y**3/15 + 34*y**2/15 + 64*y/5 + 24.
2*(y + 5)*(y + 6)**2/15
Factor -3*t**3 + 15*t**2 - 12*t.
-3*t*(t - 4)*(t - 1)
Solve -695*o**2 - 2083*o + 6 = 0.
-3, 2/695
Suppose -2*t**4/5 - 4*t**3/5 + 18*t**2/5 + 4*t/5 - 16/5 = 0. Calculate t.
-4, -1, 1, 2
Find q, given that 15*q**3 + 9*q**2 - 162*q + 168 = 0.
-4, 7/5, 2
Factor -5*d**3 + 1220*d**2 + 1225*d.
-5*d*(d - 245)*(d + 1)
Find y, given that -3*y**4/7 - 54*y**3/7 - 324*y**2/7 - 744*y/7 - 576/7 = 0.
-8, -6, -2
Factor j**3 - 2*j**2 - 5*j + 6.
(j - 3)*(j - 1)*(j + 2)
Let 4*j**2 + 64*j + 156 = 0. Calculate j.
-13, -3
Suppose 2*n**2/17 - 5098*n/17 = 0. Calculate n.
0, 2549
Factor -3*k**3 + 48*k**2 + 108*k.
-3*k*(k - 18)*(k + 2)
Solve -2*k**2/19 - 1570*k/19 = 0.
-785, 0
Solve 315*s**2 + 320*s + 5 = 0.
-1, -1/63
Factor 5*l**3 - 95*l**2 - 5*l + 95.
5*(l - 19)*(l - 1)*(l + 1)
Factor -12*a**2/7 - 46*a/7 - 44/7.
-2*(a + 2)*(6*a + 11)/7
Factor 3*t**3/2 - 201*t**2/2 + 765*t/2 - 567/2.
3*(t - 63)*(t - 3)*(t - 1)/2
Factor -2*a**4/3 - 190*a**3 - 18236*a**2 - 1820216*a/3 - 1661168.
-2*(a + 3)*(a + 94)**3/3
Factor -5*z**3 + 620*z**2 + 20*z - 2480.
-5*(z - 124)*(z - 2)*(z + 2)
Factor -35*o**3 + 2755*o**2 + 3590*o + 800.
-5*(o - 80)*(o + 1)*(7*o + 2)
Factor 2*f**4/7 - 376*f**3/7 + 746*f**2/7 - 372*f/7.
2*f*(f - 186)*(f - 1)**2/7
Find m such that -4*m**3/5 + 552*m**2/5 = 0.
0, 138
Determine o, given that 4*o**4 - 28*o**3 - 4*o**2 + 28*o = 0.
-1, 0, 1, 7
Factor -t**3 + 14*t**2 - 45*t.
-t*(t - 9)*(t - 5)
Find m such that 10*m**5/3 + 8*m**4 - 22*m**3/3 - 52*m**2/3 + 8*m + 16/3 = 0.
-2, -2/5, 1
Factor -j**4/12 + j**3/3 + 7*j**2/2 - 55*j/3 + 175/12.
-(j - 5)**2*(j - 1)*(j + 7)/12
Suppose -3*l**4/8 + 45*l**3/4 - 891*l**2/8 + 363*l = 0. Calculate l.
0, 8, 11
What is i in -2*i**2 - 15*i/2 - 11/2 = 0?
-11/4, -1
Solve -14*r**5 - 74*r**4 - 90*r**3 + 50*r**2 + 104*r + 24 = 0.
-3, -2, -1, -2/7, 1
Solve 9*k**2/2 + 291*k/2 + 186 = 0 for k.
-31, -4/3
Determine x, given that 5*x**2 - 2070*x + 214245 = 0.
207
Find o such that -46*o**2/3 - 54*o - 24 = 0.
-3, -12/23
Find r such that 2*r**5/9 + 8*r**4/3 + 40*r**3/9 - 4*r**2/9 - 14*r/3 - 20/9 = 0.
-10, -1, 1
Determine c so that -c**5 + 8*c**4 - 10*c**3 - 60*c**2 + 171*c - 108 = 0.
-3, 1, 3, 4
Factor -4*s**2/5 - 4632*s/5 - 1340964/5.
-4*(s + 579)**2/5
What is j in 2*j**4/7 + 38*j**3/7 + 66*j**2/7 - 38*j/7 - 68/7 = 0?
-17, -2, -1, 1
Factor -3*o**3/5 - 57*o**2/5 - 21*o - 51/5.
-3*(o + 1)**2*(o + 17)/5
Let -28*x**4 - 396*x**3 - 420*x**2 - 52*x = 0. What is x?
-13, -1, -1/7, 0
Let -3*z**5/4 - 9*z**4/2 - 3*z**3/4 + 18*z**2 + 15*z = 0. What is z?
-5, -2, -1, 0, 2
Factor -2*g**2 - 18*g + 20.
-2*(g - 1)*(g + 10)
Factor 45*f**3 + 11910*f**2 + 7925*f + 1320.
5*(f + 264)*(3*f + 1)**2
Determine w so that w**4 + 16*w**3 + 64*w**2 = 0.
-8, 0
Suppose -i**2/3 + 241*i/3 = 0. Calculate i.
0, 241
Factor -4*q**2 + 1368*q - 1364.
-4*(q - 341)*(q - 1)
Determine c so that -5*c**5 - 50*c**4 - 135*c**3 + 50*c**2 + 620*c + 600 = 0.
-5, -3, -2, 2
Factor -4*d**2 - 736*d - 732.
-4*(d + 1)*(d + 183)
Factor -14*q**2/5 + 72*q/5 - 2.
-2*(q - 5)*(7*q - 1)/5
Factor -9*z**3 + 3792*z**2 + 6339*z + 2538.
-3*(z - 423)*(z + 1)*(3*z + 2)
Let -3*d**4/5 - 6*d**3/5 + 9*d**2 + 108*d/5 = 0. Calculate d.
-3, 0, 4
Solve 5*w**3/3 + 25*w**2 = 0.
-15, 0
Find f such that -4*f**4 + 48*f**3 - 148*f**2 + 24*f + 224 = 0.
-1, 2, 4, 7
Let -2*t**4/5 + 156*t**3/5 - 602*t**2/5 + 744*t/5 - 296/5 = 0. What is t?
1, 2, 74
Let 3*s**4/4 + 65*s**3/12 + 26*s**2/3 + 5*s/3 = 0. What is s?
-5, -2, -2/9, 0
Factor -u**3/3 - 8*u**2/3 - 4*u.
-u*(u + 2)*(u + 6)/3
Determine b, given that -3*b**5 + 51*b**4 - 120*b**3 - 888*b**2 - 240*b + 1200 = 0.
-2, 1, 10
Let 4*y**5/3 + 148*y**4/3 - 180*y**3 - 2468*y**2/3 - 2744*y/3 - 320 = 0. Calculate y.
-40, -1, 6
Find q, given that 4*q**4 + 1309*q**3 - 985*q**2 - 328*q = 0.
-328, -1/4, 0, 1
Determine s, given that 2*s**2/11 + 4740*s/11 + 2808450/11 = 0.
-1185
Factor 2*y**2 - 1296*y + 209952.
2*(y - 324)**2
What is c in 4*c**3 - 12*c**2 + 8*c = 0?
0, 1, 2
Factor -5*s**4/8 - 67*s**3/8 - 13*s**2/4.
-s**2*(s + 13)*(5*s + 2)/8
Factor 2*d**5/13 - 4*d**4/13 - 6*d**3/13 + 8*d**2/13 + 8*d/13.
2*d*(d - 2)**2*(d + 1)**2/13
What is c in 10*c**3 - 975*c**2 + 1445*c - 480 = 0?
1/2, 1, 96
Find y, given that -2*y**2 + 45*y + 47 = 0.
-1, 47/2
What is n in -4*n**4 + 8*n**3 + 4*n**2 - 8*n = 0?
-1, 0, 1, 2
Factor -f**5/8 + f**4/4 + 3*f**3/8.
-f**3*(f - 3)*(f + 1)/8
Find l such that 2*l**5/9 - 68*l**4/9 - 16*l**3 - 4*l**2/9 + 142*l/9 + 8 = 0.
-1, 1, 36
Factor -4*g**2 - 1940*g + 1944.
-4*(g - 1)*(g + 486)
Determine c, given that -12*c**3 + 813*c**2 - 13668*c - 3468 = 0.
-1/4, 34
Factor s**2/4 + s - 21/4.
(s - 3)*(s + 7)/4
Factor -5*p**2 + 170*p + 1435.
-5*(p - 41)*(p + 7)
Determine d so that -2*d**5 + 34*d**4 + 74*d**3 + 38*d**2 = 0.
-1, 0, 19
Determine b so that -b**4 + 5*b**3 - 5*b**2 - 5*b + 6 = 0.
-1, 1, 2, 3
Determine q so that 2*q**4 + 10*q**3/7 - 18*q**2/7 - 10*q/7 + 4/7 = 0.
-1, 2/7, 1
Determine n so that -4*n**4/19 + 2*n**3/19 + 4*n**2/19 - 2*n/19 = 0.
-1, 0, 1/2, 1
Solve -4*w**5/5 - 4*w