 2)*(d + 5)
Find t such that 3*t**5/4 + 15*t**4 - 3*t**3/2 - 1059*t**2 - 8229*t/4 - 1014 = 0.
-13, -1, 8
Suppose 2*c**4 + 28*c**3 + 66*c**2 - 8*c - 88 = 0. Calculate c.
-11, -2, 1
Find z such that -z**4/4 - 5*z**3/4 - 9*z**2/4 - 7*z/4 - 1/2 = 0.
-2, -1
Solve -2*u**5/5 + 24*u**4/5 + 22*u**3 - 1004*u**2/5 - 4608*u/5 - 704 = 0 for u.
-4, -1, 10, 11
Let y**4 - 121*y**3/6 + 7*y**2/3 + 121*y/6 - 10/3 = 0. Calculate y.
-1, 1/6, 1, 20
What is i in i**4/3 + 172*i**3 + 33282*i**2 + 2862252*i + 92307627 = 0?
-129
Factor 2*v**2/3 + 28*v + 160/3.
2*(v + 2)*(v + 40)/3
Factor -3*v**4 + 19*v**3 + 221*v**2 + 489*v + 234.
-(v - 13)*(v + 3)**2*(3*v + 2)
Solve 135*m**5/8 - 1461*m**4/8 + 1281*m**3/2 - 1347*m**2/2 - 204*m + 72 = 0 for m.
-2/5, 2/9, 3, 4
Find q such that -80*q**5 + 2720*q**4 - 20225*q**3 - 99015*q**2/2 - 20790*q - 2430 = 0.
-3/2, -1/4, 18
Let d**4/3 - 9*d**3 + 56*d**2 + 196*d/3 = 0. Calculate d.
-1, 0, 14
Factor 3*i**5 - 690*i**4 + 39675*i**3.
3*i**3*(i - 115)**2
Factor w**5/8 + 13*w**4/8 + 8*w**3 + 19*w**2 + 22*w + 10.
(w + 2)**4*(w + 5)/8
Let w**2/3 + 12*w + 60 = 0. Calculate w.
-30, -6
Factor y**3/10 - 23*y**2/5 - 99*y/10 + 72/5.
(y - 48)*(y - 1)*(y + 3)/10
Suppose j**2/4 - 19*j/2 + 34 = 0. Calculate j.
4, 34
Solve 3*w**2 - 6*w - 144 = 0 for w.
-6, 8
Let 2*i**2/11 + 2592*i/11 + 839808/11 = 0. What is i?
-648
Solve -6*y**5/5 - 141*y**4/5 + 549*y**3/5 - 489*y**2/5 - 15*y + 162/5 = 0.
-27, -1/2, 1, 2
Factor 6889*i**2/3 - 166*i + 3.
(83*i - 3)**2/3
Let -m**4/3 - 7*m**3/3 + 8*m**2/3 = 0. Calculate m.
-8, 0, 1
Factor -u**3/5 + 178*u**2/5 + u/5 - 178/5.
-(u - 178)*(u - 1)*(u + 1)/5
Find q such that 2*q**5 + 6*q**4 + 6*q**3 + 2*q**2 = 0.
-1, 0
Let 2*t**4/13 - 28*t**3/13 + 2*t**2 + 1008*t/13 - 3528/13 = 0. Calculate t.
-6, 6, 7
Solve -2*x**2/15 - 2492*x/15 = 0 for x.
-1246, 0
Determine p, given that -p**5 - 8*p**4 - 11*p**3 + 8*p**2 + 12*p = 0.
-6, -2, -1, 0, 1
Determine f so that -4*f**3 - 28*f**2 + 68*f - 36 = 0.
-9, 1
Solve -3*f**5/5 - 12*f**4 - 342*f**3/5 - 12*f**2/5 + 3801*f/5 + 3528/5 = 0.
-8, -7, -1, 3
Solve -3*s**5 + 171*s**4 - 2673*s**3 + 6549*s**2 + 648*s - 8748 = 0 for s.
-1, 2, 27
Determine h, given that -4*h**4/7 + 872*h**3/7 - 49236*h**2/7 + 186608*h/7 - 183184/7 = 0.
2, 107
Factor -3*f**3/5 - 18*f**2 + 423*f/5 + 102.
-3*(f - 5)*(f + 1)*(f + 34)/5
Factor p**5/6 - 7*p**4/6 + 5*p**3/2 - 13*p**2/6 + 2*p/3.
p*(p - 4)*(p - 1)**3/6
Determine r, given that -16*r**5/3 - 776*r**4/3 - 8785*r**3/3 + 15752*r**2/3 + 9475*r/3 + 1250/3 = 0.
-25, -1/4, 2
Find n such that 2*n**4/17 - 32*n**3/17 + 192*n**2/17 - 512*n/17 + 512/17 = 0.
4
Determine y, given that 2*y**5/3 - 16*y**4/3 + 34*y**3/3 - 20*y**2/3 = 0.
0, 1, 2, 5
Let -n**5/2 + 15*n**4 - 89*n**3 - 120*n**2 + 179*n/2 + 105 = 0. What is n?
-1, 1, 10, 21
Factor 2*q**2 - 3658*q.
2*q*(q - 1829)
Factor 4*z**4 + 40*z**3 + 128*z**2 + 152*z + 60.
4*(z + 1)**2*(z + 3)*(z + 5)
Let 35*o**4/6 - 5*o**3/3 - 105*o**2/2 + 15*o = 0. Calculate o.
-3, 0, 2/7, 3
Determine d, given that 9*d**3 + 52*d**2 - 156*d + 32 = 0.
-8, 2/9, 2
Factor 5*x**3 + 45*x**2 - 260*x.
5*x*(x - 4)*(x + 13)
Determine a so that -4*a**2 - 28*a = 0.
-7, 0
Solve 7*r**5 + 82*r**4 + 53*r**3 - 22*r**2 = 0 for r.
-11, -1, 0, 2/7
Factor z**2/5 - 386*z/5 + 37249/5.
(z - 193)**2/5
What is h in -21*h**3/4 - 125*h**2/2 + 6*h = 0?
-12, 0, 2/21
Suppose -p**5/8 - 5*p**4/4 - 9*p**3/2 - 29*p**2/4 - 43*p/8 - 3/2 = 0. Calculate p.
-4, -3, -1
Determine m so that 105*m**3 - 621*m**2/8 - 225*m/8 + 3/4 = 0.
-2/7, 1/40, 1
Factor -2*r**4/3 + 2*r**2 + 4*r/3.
-2*r*(r - 2)*(r + 1)**2/3
Factor p**4/2 - 2*p**3 + 3*p**2 - 2*p + 1/2.
(p - 1)**4/2
Factor -4*m**2 + 1696*m + 1700.
-4*(m - 425)*(m + 1)
What is v in -v**4/2 - 5*v**3 + 6*v**2 + 133*v + 245/2 = 0?
-7, -1, 5
Suppose 30*d**4 - 338*d**3 + 800*d**2 - 104*d - 192 = 0. What is d?
-2/5, 2/3, 3, 8
Factor 4*k**4 - 36*k**3 + 96*k**2 - 80*k.
4*k*(k - 5)*(k - 2)**2
What is q in 2*q**2/13 + 2*q/13 - 4/13 = 0?
-2, 1
Determine y so that -357*y**3 - 363*y**2 + 708*y + 12 = 0.
-2, -2/119, 1
Factor h**2 - 22*h + 112.
(h - 14)*(h - 8)
Find f, given that 10*f**5/3 - 164*f**4/3 - 476*f**3/3 - 344*f**2/3 + 34*f/3 + 76/3 = 0.
-1, 2/5, 19
Factor -13*f**3/2 + f**2/2 + 13*f/2 - 1/2.
-(f - 1)*(f + 1)*(13*f - 1)/2
Solve -2*o**5/13 + 2*o**4/13 + 28*o**3/13 - 48*o**2/13 = 0 for o.
-4, 0, 2, 3
Factor -u**3/2 + 28*u**2 - 925*u/2 + 1875.
-(u - 25)**2*(u - 6)/2
Factor 2*i**3/9 + 68*i**2/9 + 430*i/9 - 500/9.
2*(i - 1)*(i + 10)*(i + 25)/9
Let -225*i**3 - 444*i**2 - 213*i + 6 = 0. Calculate i.
-1, 2/75
Factor 2*q**5/11 - 394*q**4/11 - 1596*q**3/11 - 2404*q**2/11 - 146*q - 402/11.
2*(q - 201)*(q + 1)**4/11
Factor 4*d**2/3 + 8*d/3 - 140/3.
4*(d - 5)*(d + 7)/3
Factor 3*p**2 + 192*p + 720.
3*(p + 4)*(p + 60)
Factor -p**2/3 - 202*p/3 - 10201/3.
-(p + 101)**2/3
Determine y, given that -5*y**3 - 30*y**2 + 5*y + 30 = 0.
-6, -1, 1
Determine s so that s**2/11 + 1088*s/11 + 295936/11 = 0.
-544
Let 5*r**4 - 65*r**3 + 175*r**2 + 65*r - 180 = 0. Calculate r.
-1, 1, 4, 9
Factor n**2/3 + 247*n/3.
n*(n + 247)/3
Suppose -2*n**2/3 - 508*n + 1526/3 = 0. Calculate n.
-763, 1
Suppose i**5/2 + 25*i**4 + 258*i**3 - 1377*i**2 + 2187*i/2 = 0. What is i?
-27, 0, 1, 3
Factor p**4/6 - 7*p**3/6 - 3*p**2.
p**2*(p - 9)*(p + 2)/6
Factor -30*f**2 - 3695*f - 615.
-5*(f + 123)*(6*f + 1)
Let -6*a**4 + 39*a**3 + 198*a**2 + 132*a - 120 = 0. Calculate a.
-2, 1/2, 10
Factor -l**2/6 - 1636*l - 4014744.
-(l + 4908)**2/6
Factor 4*s**2 - 2216*s + 306916.
4*(s - 277)**2
Factor -20*x**3 - 85*x**2 + 400*x + 105.
-5*(x - 3)*(x + 7)*(4*x + 1)
Let 355*w**5 - 1055*w**4 + 680*w**3 + 20*w**2 = 0. Calculate w.
-2/71, 0, 1, 2
Suppose z**3/11 - 6*z**2/11 - 15*z/11 - 8/11 = 0. What is z?
-1, 8
Factor -14*b**2/5 + 148*b/5 + 66/5.
-2*(b - 11)*(7*b + 3)/5
Factor -2*w**2/5 - 1092*w - 745290.
-2*(w + 1365)**2/5
What is s in -s**5/3 - s**4/3 + s**3 + s**2/3 - 2*s/3 = 0?
-2, -1, 0, 1
Factor 2*u**3/17 - 80*u**2/17 + 74*u/17 + 156/17.
2*(u - 39)*(u - 2)*(u + 1)/17
Let 3*v**3/4 - 2487*v**2/4 + 129168*v - 128547 = 0. What is v?
1, 414
Factor -2*f**4 + 4*f**3 + 38*f**2 - 40*f.
-2*f*(f - 5)*(f - 1)*(f + 4)
Solve 2*q**2 - 3964*q + 1964162 = 0 for q.
991
Find j, given that -2*j**2 + 44*j + 336 = 0.
-6, 28
Factor 4*v**2 + 16*v + 16.
4*(v + 2)**2
Factor 2*n**4 - 288*n**3 + 13616*n**2 - 233856*n + 1318688.
2*(n - 58)**2*(n - 14)**2
Solve 2*k**3/3 - 10*k**2/3 + 8*k/3 = 0 for k.
0, 1, 4
Solve 10*i**2 - 112*i + 22 = 0 for i.
1/5, 11
Factor -15*d**4 - 80*d**3 - 115*d**2 - 30*d.
-5*d*(d + 2)*(d + 3)*(3*d + 1)
Factor 2*m**5 - 16*m**4 - 18*m**3.
2*m**3*(m - 9)*(m + 1)
Determine s so that 2*s**5/15 - 14*s**4/15 - 12*s**3/5 - 4*s**2/15 + 34*s/15 + 6/5 = 0.
-1, 1, 9
Factor -2*l**3/5 + 46*l**2/5 - 124*l/5 + 16.
-2*(l - 20)*(l - 2)*(l - 1)/5
Factor 7*h**3 - 926*h**2 + 2973*h - 774.
(h - 129)*(h - 3)*(7*h - 2)
Factor -14*g**2 - 66*g + 224.
-2*(g + 7)*(7*g - 16)
Factor 3*o**3/4 - 27*o**2/4 + 45*o/4 - 21/4.
3*(o - 7)*(o - 1)**2/4
Solve -j**3 + 9*j = 0.
-3, 0, 3
Factor 5*s**2 - 4580*s.
5*s*(s - 916)
Solve -5*p**2 + 160*p - 300 = 0.
2, 30
Factor z**2/3 + 38*z/3.
z*(z + 38)/3
Factor -3*i**3/5 - 213*i**2/5 - 585*i + 31941/5.
-3*(i - 7)*(i + 39)**2/5
Suppose 12*m**5 - 40*m**4 - 16*m**3 + 88*m**2 + 4*m - 48 = 0. What is m?
-1, 1, 4/3, 3
Factor c**4 - 22*c**3 + 141*c**2 - 220*c + 100.
(c - 10)**2*(c - 1)**2
Find z such that -2*z**2/7 + 408*z/7 + 410/7 = 0.
-1, 205
Factor -5*h**3/6 + 505*h**2/6 + 12925*h/6 + 24805/2.
-5*(h - 123)*(h + 11)**2/6
Factor y**3/3 - 332*y**2.
y**2*(y - 996)/3
Determine f so that 3*f**2 - 162*f + 600 = 0.
4, 50
Determine q so that 2*q**4/23 - 6*q**3/23 - 30*q**2/23 - 34*q/23 - 12/23 = 0.
-1, 6
Suppose k**4/2 + 15*k**3/2 + 39*k**2/2 - 127*k/2 + 36 = 0. What is k?
-9, -8, 1
Solve 2*i**5 + 112*i**4 - 1524*i**3 + 7128*i**2 - 14526*i + 11016 = 0.
-68, 3
Find q, given that -5*q**5 + 60*q**4 + 15*q**3 - 190*q**2 + 120*q = 0.
-2, 0, 1, 12
Factor 13*x**3/8 - 85*x**2/2 + 377*x/8 - 25/4.
(x - 25)*(x - 1)*(13*x - 2)/8
Factor 2*v**4 + 106*v**3 - 564*v**2 + 920*v - 464.
2*(v - 2)**2*(v - 1)*(v + 58)
What is h in 2*h**2/9 + 274*h/3 + 820/9 = 0?
-410, -1
Find t such that 5*t**5/2 - 67*t**4/2 + 131*t**3/2 + 23*t**2/2 - 68*t + 22 = 0.
-1, 2/5, 1, 2, 11
Solve 2*g**2 + 1668*g + 347778 = 0.
-417
Determine y so that y**3 - 459*y**2 + 915*y - 457