d - 355)*(2*d - 1)**2/4
Find h such that -4*h**5 - 12*h**4 + 44*h**3 + 12*h**2 - 40*h = 0.
-5, -1, 0, 1, 2
Factor -n**4 + 76*n**3 - 1283*n**2 - 6160*n - 4800.
-(n - 40)**2*(n + 1)*(n + 3)
Solve -n**5 + 90*n**4 - 1740*n**3 - 12680*n**2 - 26880*n - 18432 = 0.
-2, 48
Factor -6*u**3 + 2668*u**2/3 - 99160*u/3 + 21904/3.
-2*(u - 74)**2*(9*u - 2)/3
Suppose 20*m**3 - 355*m**2 - 90*m = 0. Calculate m.
-1/4, 0, 18
Determine x, given that -x**5/2 + 15*x**4/2 - 11*x**3/2 - 43*x**2/2 + 6*x + 14 = 0.
-1, 1, 2, 14
Determine c so that 1458*c**2/5 + 216*c/5 + 8/5 = 0.
-2/27
Find w, given that 3*w**2 + 31*w/7 + 10/7 = 0.
-1, -10/21
Factor -2*h**4/11 - 414*h**3/11 - 28566*h**2/11 - 657018*h/11.
-2*h*(h + 69)**3/11
Factor 2*j**5/5 + 8*j**4/5 + 2*j**3 + 4*j**2/5.
2*j**2*(j + 1)**2*(j + 2)/5
Determine s so that 2*s**2/9 + 382*s/9 + 1496/9 = 0.
-187, -4
Factor h**3 - 6*h**2 + 3*h + 10.
(h - 5)*(h - 2)*(h + 1)
Factor -3*m**3 - 348*m**2 - 345*m.
-3*m*(m + 1)*(m + 115)
Factor j**3 - 5*j**2 + 7*j - 3.
(j - 3)*(j - 1)**2
Let i**3/6 - 26*i**2/3 - 107*i/6 - 9 = 0. What is i?
-1, 54
Factor 13*i**4/6 - 58*i**3/3 + 152*i**2/3 - 32*i.
i*(i - 4)**2*(13*i - 12)/6
Factor -4*b**4 + 52*b**3 - 16*b**2 - 432*b + 576.
-4*(b - 12)*(b - 2)**2*(b + 3)
Determine g, given that 10*g**5 - 74*g**4 + 82*g**3 + 18*g**2 - 36*g = 0.
-3/5, 0, 1, 6
Factor 5*g**2/6 - 5*g + 20/3.
5*(g - 4)*(g - 2)/6
Solve 2*z**2/3 + 444*z + 73926 = 0.
-333
Factor -6*f**3/5 - 18*f**2 + 252*f/5 + 816/5.
-6*(f - 4)*(f + 2)*(f + 17)/5
Suppose -x**4/4 + 5*x**3/4 + x**2/4 - 5*x/4 = 0. Calculate x.
-1, 0, 1, 5
Suppose 5*j**4/3 - 60*j**3 + 810*j**2 - 4860*j + 10935 = 0. Calculate j.
9
Factor 4*d**3 - 32*d**2.
4*d**2*(d - 8)
Factor -i**5/7 - i**4 - 11*i**3/7 - 5*i**2/7.
-i**2*(i + 1)**2*(i + 5)/7
Find h such that 16*h**3 + 10620*h**2 + 1760928*h - 440896 = 0.
-332, 1/4
Factor u**3/3 + 94*u**2/3 - 64*u.
u*(u - 2)*(u + 96)/3
Solve 3*f**2 + 642*f + 34347 = 0.
-107
Solve -5*l**3 + 15*l**2 + 1485*l + 8505 = 0.
-9, 21
Factor 4*l**2 - 60*l.
4*l*(l - 15)
Suppose -t**2/4 - 91*t/4 - 89/2 = 0. What is t?
-89, -2
Factor -12*u**5/5 + 84*u**4 - 951*u**3 + 3132*u**2 + 3888*u + 5184/5.
-3*(u - 12)**3*(2*u + 1)**2/5
Factor -4*c**5 - 100*c**4 - 760*c**3 - 1720*c**2 - 1540*c - 484.
-4*(c + 1)**3*(c + 11)**2
Factor 252*z**3 + 124*z**2 - 112*z + 16.
4*(z + 1)*(7*z - 2)*(9*z - 2)
Factor -30*s**2 + 88*s + 40.
-2*(3*s - 10)*(5*s + 2)
Suppose -l**2/3 + 37*l + 226/3 = 0. Calculate l.
-2, 113
Suppose 2*f**5 + 13*f**4/3 - 70*f**3/3 - 84*f**2 - 232*f/3 - 32/3 = 0. Calculate f.
-2, -1/6, 4
Factor -2*q**3/15 + 148*q**2/5.
-2*q**2*(q - 222)/15
Factor -2*p**2/17 - 602*p/17 - 600/17.
-2*(p + 1)*(p + 300)/17
Solve 6*k**2 + 98*k + 32 = 0 for k.
-16, -1/3
Factor -4*z**3/3 - 8*z**2/3.
-4*z**2*(z + 2)/3
Let 5*p**4/8 - 1417*p**3/8 + 49983*p**2/4 + 15265*p/2 - 5041 = 0. Calculate p.
-1, 2/5, 142
Factor 6*y**2/13 - 604*y/13 - 202/13.
2*(y - 101)*(3*y + 1)/13
Suppose -2*r**5/3 + 394*r**4/9 + 1778*r**3/9 + 970*r**2/3 + 2092*r/9 + 560/9 = 0. Calculate r.
-4/3, -1, 70
Factor -2*l**4/3 + 58*l**3/3 - 138*l**2 + 378*l - 360.
-2*(l - 20)*(l - 3)**3/3
Solve 8*k**4 + 132*k**3 + 292*k**2 + 168*k = 0 for k.
-14, -3/2, -1, 0
Factor 5*j**2 + 10*j + 5.
5*(j + 1)**2
Determine i so that 2*i**2/21 + 52*i/7 + 1014/7 = 0.
-39
Factor 10*i**2/3 + 8*i/3 - 2/3.
2*(i + 1)*(5*i - 1)/3
Factor s**5/4 + 4*s**4 + 73*s**3/4 + 9*s**2/2 - 81*s + 54.
(s - 1)**2*(s + 6)**3/4
Suppose 5*j**3/2 - 50*j**2 + 85*j/2 + 95 = 0. What is j?
-1, 2, 19
Factor -2*m**2/21 + 2*m/7 + 8/21.
-2*(m - 4)*(m + 1)/21
Find q, given that -3*q**3/4 + 15*q**2 + 33*q/4 - 855/2 = 0.
-5, 6, 19
Let -i**3/4 + 57*i**2/4 - 235*i/2 = 0. What is i?
0, 10, 47
Determine b, given that 3*b**2 + 228*b - 468 = 0.
-78, 2
Factor -3364*x**2/5 - 12064*x/5 - 10816/5.
-4*(29*x + 52)**2/5
Suppose 30*p**3 - 181*p**2/4 + 123*p/8 - 1/8 = 0. Calculate p.
1/120, 1/2, 1
Factor -q**4 - 26*q**3 + 29*q**2 + 54*q.
-q*(q - 2)*(q + 1)*(q + 27)
Find y such that 20*y**4 + 135*y**3 - 235*y**2 - 270*y + 80 = 0.
-8, -1, 1/4, 2
Suppose -4*k**3 - 312*k**2 + 324*k + 632 = 0. Calculate k.
-79, -1, 2
Suppose y**4/2 - 6*y**3 + 5*y**2 + 6*y - 11/2 = 0. What is y?
-1, 1, 11
Factor -4*n**3 + 540*n**2 - 20832*n + 247744.
-4*(n - 79)*(n - 28)**2
Factor 5*k**4 - 925*k**3 + 2730*k**2 + 20*k - 3640.
5*(k - 182)*(k - 2)**2*(k + 1)
Determine y, given that 2*y**2 - 100*y = 0.
0, 50
Suppose -5*r**2/2 - 1545*r - 477405/2 = 0. What is r?
-309
Determine k, given that 2*k**3/9 - 22*k**2/9 + 68*k/9 - 16/3 = 0.
1, 4, 6
Solve -2*d**4 + 62*d**3 - 118*d**2 + 58*d = 0.
0, 1, 29
What is k in -4*k**5 + 16*k**4 - 8*k**3 - 16*k**2 + 12*k = 0?
-1, 0, 1, 3
Determine o, given that -3*o**2 - 234*o - 888 = 0.
-74, -4
Factor m**5 - m**4.
m**4*(m - 1)
Factor 11*n**3/6 + 179*n**2/6 + 178*n/3 + 14.
(n + 2)*(n + 14)*(11*n + 3)/6
Suppose -c**4/3 - 41*c**3/3 - 440*c**2/3 - 400*c/3 = 0. Calculate c.
-20, -1, 0
Find m, given that 5*m**2 + 345*m + 4590 = 0.
-51, -18
Solve 21*y**3 + 90*y**2 - 81*y - 30 = 0 for y.
-5, -2/7, 1
Determine n, given that -3*n**2/5 + 3/5 = 0.
-1, 1
Find p, given that p**5/3 - 5*p**4/3 + 7*p**3/3 + p**2/3 - 8*p/3 + 4/3 = 0.
-1, 1, 2
Suppose -s**3/8 + 21*s**2/8 - 15*s + 25/2 = 0. Calculate s.
1, 10
Factor -2*l**3 + 32*l**2 + 154*l + 120.
-2*(l - 20)*(l + 1)*(l + 3)
Let -3*x**3 - 63*x**2 + 216*x = 0. Calculate x.
-24, 0, 3
Determine g, given that -g**5 + 11*g**3 + 18*g**2 + 8*g = 0.
-2, -1, 0, 4
Suppose 3*j**4/5 + 114*j**3/5 - 5244*j**2/5 + 7974*j + 9045 = 0. Calculate j.
-67, -1, 15
Solve -65*i**4 - 2675*i**3 - 18480*i**2 + 18020*i + 3200 = 0.
-32, -10, -2/13, 1
Find r, given that -r**2/3 - 418*r/3 = 0.
-418, 0
Factor 4*q**4 + 44*q**3 - 360*q**2 + 784*q - 544.
4*(q - 2)**3*(q + 17)
Determine c so that 2*c**4/7 + 410*c**3/7 + 814*c**2/7 + 58*c = 0.
-203, -1, 0
Solve 2*p**5 + 16*p**4 + 8*p**3 - 116*p**2 - 10*p + 100 = 0.
-5, -1, 1, 2
Let 2*d**4/13 + 46*d**3/13 + 334*d**2/13 + 890*d/13 + 600/13 = 0. Calculate d.
-12, -5, -1
Let u**4/6 + u**3/2 + u**2/6 - u/2 - 1/3 = 0. Calculate u.
-2, -1, 1
What is r in -2*r**2 + 92*r + 94 = 0?
-1, 47
Factor -4*s**3 - 220*s**2 - 1016*s - 800.
-4*(s + 1)*(s + 4)*(s + 50)
Factor -26645*b**4 - 105120*b**3 - 100760*b**2 + 5760*b - 80.
-5*(b + 2)**2*(73*b - 2)**2
Let 2*f**3/7 - 928*f**2/7 - 930*f/7 = 0. Calculate f.
-1, 0, 465
Factor -h**2/3 - 103*h/2 - 77/3.
-(h + 154)*(2*h + 1)/6
Factor -z**2/4 - 187*z/4 - 185/2.
-(z + 2)*(z + 185)/4
Factor -4*h**3 + 48*h - 64.
-4*(h - 2)**2*(h + 4)
Solve 2*o**3/5 + 34*o**2/5 - 2*o/5 - 34/5 = 0 for o.
-17, -1, 1
Determine i, given that i**3/5 + 31*i**2/5 + 11*i - 87/5 = 0.
-29, -3, 1
Solve 192*u**2 - 8*u - 4 = 0.
-1/8, 1/6
Find n such that 2*n**2/15 + 16508*n/15 + 34064258/15 = 0.
-4127
Factor c**2 + 294*c - 1192.
(c - 4)*(c + 298)
Factor -5*u**5 + 55*u**4 - 50*u**3.
-5*u**3*(u - 10)*(u - 1)
Factor 5*i**3 + 410*i**2.
5*i**2*(i + 82)
Factor -x**2 + 27*x - 26.
-(x - 26)*(x - 1)
Factor 2*f**2/7 + 388*f/7 - 1182/7.
2*(f - 3)*(f + 197)/7
Let 22*r**4/7 + 180*r**3/7 + 186*r**2/7 + 4*r = 0. What is r?
-7, -1, -2/11, 0
Suppose -2*g**5/5 - 4*g**4 - 18*g**3/5 = 0. What is g?
-9, -1, 0
Find i such that 5*i**4 - 30*i**3 - 15*i**2 + 100*i - 60 = 0.
-2, 1, 6
Factor -3*x**5 - 3*x**4 + 48*x**3 - 60*x**2.
-3*x**2*(x - 2)**2*(x + 5)
Factor m**3/2 + 16*m**2 - 38*m - 136.
(m - 4)*(m + 2)*(m + 34)/2
Let 3*x**5/5 + 12*x**4/5 + 3*x**3/5 - 18*x**2/5 = 0. What is x?
-3, -2, 0, 1
What is q in 2*q**3/7 + 76*q**2/7 + 146*q/7 + 72/7 = 0?
-36, -1
Factor 13875*u**3 - 4535*u**2 - 30*u.
5*u*(3*u - 1)*(925*u + 6)
Factor -c**2 - 135*c.
-c*(c + 135)
Factor 4*k**4 + 1536*k**3 + 148984*k**2 + 293376*k + 145924.
4*(k + 1)**2*(k + 191)**2
Suppose 6*d**3 + 21*d**2 - 9*d - 54 = 0. What is d?
-3, -2, 3/2
Factor -4*f**4 - 12*f**3 + 52*f**2 + 60*f.
-4*f*(f - 3)*(f + 1)*(f + 5)
Determine v so that -5*v**2 + 160*v - 435 = 0.
3, 29
Factor -d**3 - 501*d**2 - 83667*d - 4657463.
-(d + 167)**3
Factor -q**2/2 - 219*q - 47961/2.
-(q + 219)**2/2
Suppose 15*l**5 + 40*l**4 - 255*l**3 + 260*l**2 - 60*l = 0. Calculate l.
-6, 0, 1/3, 1, 2
Factor 3*l**3/7 - 42*l**2 + 9120*l/7 - 86400/7.
3*(l - 40)**2*(l - 18)/7
Determine d, given that -6*d**4 - 15*d**3/2 + 69*d**2/2 + 9*d = 0.
-3, -1/4, 0, 2
Solve 5*b**5/3 + 125*b**4/3 + 340*b**3/3 + 220*b**2/3 = 0.
-22, -2, -1, 0
Find o such that 