12*a**4/17 + 18*a**3/17 - 8*a**2/17.
2*a**2*(a - 4)*(a - 1)**2/17
Solve 9*s**2/7 - 13*s/7 - 6 = 0 for s.
-14/9, 3
Factor 4*j**2 - 41*j/2 + 5/2.
(j - 5)*(8*j - 1)/2
Solve -k**2 + 284*k + 285 = 0 for k.
-1, 285
Find u, given that -4*u**2 - 2984*u - 556516 = 0.
-373
Solve -2*r**4/3 + 2*r**3/3 + 24*r**2 - 248*r/3 + 224/3 = 0.
-7, 2, 4
Factor 15*h**5/8 - 21*h**4/8 + 3*h**3/4.
3*h**3*(h - 1)*(5*h - 2)/8
What is j in 2*j**3 + 214*j**2 + 5616*j - 5832 = 0?
-54, 1
Find b, given that -3*b**2/2 - 18417*b - 113061963/2 = 0.
-6139
Factor 32*p**4 - 32528*p**3 + 8274306*p**2 - 4131056*p + 516128.
2*(p - 508)**2*(4*p - 1)**2
Suppose -f**5/7 + 121*f**4/7 - 1074*f**3/7 - 3958*f**2/7 - 4205*f/7 - 1443/7 = 0. What is f?
-1, 13, 111
Find k, given that -3*k**2/7 - 1119*k/7 - 1116/7 = 0.
-372, -1
Determine l so that 3*l**4/5 + 12*l**3 + 204*l**2/5 + 192*l/5 = 0.
-16, -2, 0
Solve -4*o**5 - 20*o**4 + 96*o**3 = 0.
-8, 0, 3
Find l such that 9*l**3 - 3*l**2 - 30*l + 24 = 0.
-2, 1, 4/3
Find d, given that -2*d**4/13 - 136*d**3/13 - 262*d**2/13 + 136*d/13 + 264/13 = 0.
-66, -2, -1, 1
Factor -3*a**2/4 - 111*a/4 - 495/2.
-3*(a + 15)*(a + 22)/4
Solve -3*n**4/5 + 18*n**3/5 + 3*n**2/5 - 18*n = 0.
-2, 0, 3, 5
Factor q**2/4 + 49*q.
q*(q + 196)/4
Factor -t**5/2 - 5*t**4/2 + 9*t**3/2 + 81*t**2/2 + 54*t.
-t*(t - 4)*(t + 3)**3/2
Factor -3*g**4/7 + 726*g**3/7 - 43923*g**2/7.
-3*g**2*(g - 121)**2/7
Let 2*v**5/3 - 124*v**4/15 - 444*v**3/5 + 752*v**2/15 + 2834*v/3 - 380 = 0. Calculate v.
-5, 2/5, 3, 19
Determine i, given that -i**2 - 8*i + 48 = 0.
-12, 4
Factor 4*a**4 + 1108*a**3.
4*a**3*(a + 277)
Factor 2401*s**4/4 - 116620*s**3 + 8496600*s**2 - 275128000*s + 3340840000.
(7*s - 340)**4/4
Let -3*r**2 - 2883*r - 2880 = 0. Calculate r.
-960, -1
Let 45*u**5 - 190*u**4 + 310*u**3 - 240*u**2 + 85*u - 10 = 0. Calculate u.
2/9, 1
Factor -i**2 + 268*i + 1365.
-(i - 273)*(i + 5)
Factor r**4/6 - 75*r**3/2 - 227*r**2/6 + 75*r/2 + 113/3.
(r - 226)*(r - 1)*(r + 1)**2/6
Factor -4*k**2 - 3096*k - 599076.
-4*(k + 387)**2
Determine x, given that x**2 - 23*x + 22 = 0.
1, 22
Factor -3*t**4/2 - 33*t**3/2 - 105*t**2/2 - 75*t/2.
-3*t*(t + 1)*(t + 5)**2/2
Factor -3*x**2 - 29*x + 130.
-(x + 13)*(3*x - 10)
Let 2*s**2/7 + 118*s/7 + 636/7 = 0. What is s?
-53, -6
Solve -2*v**2/13 - 1554*v/13 + 1556/13 = 0 for v.
-778, 1
What is z in -1444*z**4 + 1672*z**3 + 732*z**2 - 704*z - 256 = 0?
-8/19, 1
Determine s, given that -4*s**3 - 1560*s**2 - 1556*s = 0.
-389, -1, 0
Determine m so that -m**5/4 + 273*m**4/4 - 18767*m**3/4 + 18223*m**2/4 + 4692*m - 4624 = 0.
-1, 1, 136
Suppose -5*l**2 + 45*l - 70 = 0. What is l?
2, 7
Factor -25*w**3/6 - 70*w**2/3 - 87*w/2 - 27.
-(w + 2)*(5*w + 9)**2/6
What is n in 2*n**5/3 + 56*n**4/3 + 172*n**3 + 432*n**2 - 1458*n - 5832 = 0?
-9, -4, 3
Determine k so that 5*k**2 - 170*k + 600 = 0.
4, 30
Factor -4*w**2/5 + 32*w/5 + 16.
-4*(w - 10)*(w + 2)/5
Factor 21*s**3/10 + 29*s**2/2 + 98*s/5 - 2.
(s + 2)*(s + 5)*(21*s - 2)/10
Find h, given that -4*h**5 - 128*h**4 - 1012*h**3 + 376*h**2 + 2816*h - 2048 = 0.
-16, -2, 1
Find y, given that -6*y**5/11 + 122*y**4/11 + 86*y**3/11 - 42*y**2/11 = 0.
-1, 0, 1/3, 21
Factor -a**4/10 + 17*a**3/10 - 9*a**2/2 + 43*a/10 - 7/5.
-(a - 14)*(a - 1)**3/10
Let -i**2 + 4*i + 12 = 0. What is i?
-2, 6
Factor -l**3/6 + 10*l**2 + 62*l/3.
-l*(l - 62)*(l + 2)/6
Let 69*v**3 - 840*v**2 + 2628*v - 432 = 0. Calculate v.
4/23, 6
Factor 20*o**2 + 3215*o.
5*o*(4*o + 643)
What is t in t**4/3 + 22*t**3/9 - 19*t**2/9 - 22*t/9 + 16/9 = 0?
-8, -1, 2/3, 1
Solve 3*d**5 - 36*d**4 + 111*d**3 - 126*d**2 + 48*d = 0.
0, 1, 2, 8
Let 2*b**2 - 3052*b + 1164338 = 0. What is b?
763
Factor -3*d**4 + 141*d**3 - 2457*d**2 + 18759*d - 52728.
-3*(d - 13)**3*(d - 8)
Solve 3*z**2 - 60*z = 0 for z.
0, 20
Let 2*n**3/9 - 2*n**2/9 - 40*n/9 = 0. Calculate n.
-4, 0, 5
Factor d**5/2 + d**4 - 4*d**3 - 9*d**2 - 9*d/2.
d*(d - 3)*(d + 1)**2*(d + 3)/2
Find b such that 2*b**2/15 - 1038*b/5 + 3112/15 = 0.
1, 1556
Factor v**3/3 - 2*v**2/3 + v/3.
v*(v - 1)**2/3
Suppose 2*b**2 - 66*b - 68 = 0. What is b?
-1, 34
Suppose -12*w**2 - 369*w - 270 = 0. What is w?
-30, -3/4
Suppose 75*l**3 - 35*l**2 - 40*l = 0. What is l?
-8/15, 0, 1
Suppose -2*p**2/15 + 18*p/5 - 52/15 = 0. What is p?
1, 26
Determine i, given that -6*i**2 + 531*i - 264 = 0.
1/2, 88
Suppose t**3/3 + 4*t**2/3 - 7*t = 0. What is t?
-7, 0, 3
Factor 9*a**3 + 55*a**2 + 6*a.
a*(a + 6)*(9*a + 1)
Let 21*b**4 + 5850*b**3 + 64083*b**2/7 + 26604*b/7 + 3324/7 = 0. Calculate b.
-277, -1, -2/7
Determine w, given that -3*w**4/7 + 27*w**3/7 - 6*w**2/7 - 36*w - 216/7 = 0.
-2, -1, 6
Factor l**3/2 - 27*l/2 + 27.
(l - 3)**2*(l + 6)/2
Find q such that -q**4/10 + 3*q**3/2 - 13*q**2/10 - 3*q/2 + 7/5 = 0.
-1, 1, 14
Suppose 5*q**4 + 25*q**3 - 15*q**2 - 65*q + 50 = 0. What is q?
-5, -2, 1
Factor -11*b**2 - 114*b - 40.
-(b + 10)*(11*b + 4)
Factor -4*p**5 + 276*p**4 - 4620*p**3 - 4900*p**2.
-4*p**2*(p - 35)**2*(p + 1)
Let l**5/5 + 2*l**4 + 22*l**3/5 + 4*l**2/5 - 23*l/5 - 14/5 = 0. What is l?
-7, -2, -1, 1
Factor -k**2 - 16*k/5 - 12/5.
-(k + 2)*(5*k + 6)/5
Factor -4*c**3/3 + 192*c**2 - 2240*c/3.
-4*c*(c - 140)*(c - 4)/3
Find m such that 4*m**2 + 3344*m + 698896 = 0.
-418
Solve 2*i**3/7 + 40*i**2/7 + 94*i/7 - 136/7 = 0.
-17, -4, 1
What is x in 4*x**5/3 - 164*x**4 + 15364*x**3/3 - 4636*x**2 - 29768*x/3 = 0?
-1, 0, 2, 61
Factor 2*q**5/19 - 6*q**3/19 - 4*q**2/19.
2*q**2*(q - 2)*(q + 1)**2/19
Find k such that 4*k**2/9 - 140*k/9 + 88/3 = 0.
2, 33
Factor v**2 - 19*v - 92.
(v - 23)*(v + 4)
Factor z**3 + 34*z**2 + 299*z + 266.
(z + 1)*(z + 14)*(z + 19)
Factor -3*m**2 - 15*m + 18.
-3*(m - 1)*(m + 6)
Determine n, given that -375*n**5/8 + 14325*n**4/8 + 20985*n**3/4 + 21897*n**2/4 + 19845*n/8 + 3321/8 = 0.
-1, -3/5, 41
Factor -q**4/5 + 2*q**3/5 + q**2/5 - 2*q/5.
-q*(q - 2)*(q - 1)*(q + 1)/5
Determine f so that 3*f**3/2 - 9*f**2/2 + 3*f = 0.
0, 1, 2
Factor 2*l**4 + 26*l**3 + 96*l**2 + 136*l + 64.
2*(l + 1)*(l + 2)**2*(l + 8)
Solve 2*w**3/11 + 18*w**2/11 - 2*w/11 - 18/11 = 0.
-9, -1, 1
Factor 2*u**3/7 - 40*u**2/7.
2*u**2*(u - 20)/7
Determine w, given that -2*w**2/19 - 262*w/19 + 264/19 = 0.
-132, 1
Factor -3*y**2/4 + 426*y - 60492.
-3*(y - 284)**2/4
What is s in 3*s**5/7 + 20*s**4/7 + 27*s**3/7 + 10*s**2/7 = 0?
-5, -1, -2/3, 0
Factor 3*f**4 + 18*f**3 + 24*f**2 - 18*f - 27.
3*(f - 1)*(f + 1)*(f + 3)**2
Factor 4*p**3 - 5996*p**2 + 11980*p - 5988.
4*(p - 1497)*(p - 1)**2
Factor k**2/4 + 8*k.
k*(k + 32)/4
Determine m, given that -16*m**4 + 244*m**3 - 44*m**2 - 244*m + 60 = 0.
-1, 1/4, 1, 15
Find u, given that 50*u**3 - 295*u**2 + 420*u + 45 = 0.
-1/10, 3
Find r, given that 2*r**2 - 4868*r + 2962178 = 0.
1217
Suppose 6*k**3/5 + 21*k**2/5 - 204*k/5 + 96/5 = 0. Calculate k.
-8, 1/2, 4
Factor 3*n**3/4 - 15*n**2/8 - 249*n/8 - 15.
3*(n - 8)*(n + 5)*(2*n + 1)/8
Suppose -4*i**3/5 - 68*i**2/5 - 24*i = 0. Calculate i.
-15, -2, 0
Factor -j**2 - 9928*j - 24641296.
-(j + 4964)**2
Factor -3*s**3/2 + 39*s**2 - 507*s/2.
-3*s*(s - 13)**2/2
Factor -5*c**4 + 125*c**3 + 155*c**2 - 665*c + 390.
-5*(c - 26)*(c - 1)**2*(c + 3)
Find l, given that 5*l**2 - 110*l = 0.
0, 22
What is m in -7*m**3/2 - 45*m**2/2 - 7*m + 12 = 0?
-6, -1, 4/7
Factor 21*i**2 - 33*i + 12.
3*(i - 1)*(7*i - 4)
Factor 3*m**2/5 + 471*m/5 + 1386/5.
3*(m + 3)*(m + 154)/5
Factor 16*s**3/3 - 26*s**2/3 - 296*s/3 - 120.
2*(s + 2)**2*(8*s - 45)/3
Factor -g**5/2 + 7*g**4/2 - 4*g**3 - 8*g**2.
-g**2*(g - 4)**2*(g + 1)/2
Solve 2*n**4/7 - 22*n**3/7 + 88*n**2/7 - 152*n/7 + 96/7 = 0.
2, 3, 4
What is s in -8*s**2/25 + 86*s/25 = 0?
0, 43/4
Determine k, given that 5*k**4 - 305*k**3 + 595*k**2 - 295*k = 0.
0, 1, 59
Factor 4*p**2 + 20*p + 24.
4*(p + 2)*(p + 3)
Factor 4*m**5/19 + 14*m**4/19 + 12*m**3/19.
2*m**3*(m + 2)*(2*m + 3)/19
Factor -25*u**2 + 2240*u.
-5*u*(5*u - 448)
Find m such that -2*m**4/7 - 6*m**3/7 + 2*m**2 + 54*m/7 + 36/7 = 0.
-3, -2, -1, 3
Let -2*j**4 - 8*j**3 + 70*j**2 + 300*j = 0. What is j?
-5, 0, 6
What is k in 4*k**5 + 76*k**4 - 8*k**3 - 152*k**2 + 4*k + 76 = 0?
-19, -1, 1
Determine a, given that 3*a**4 - 1023*a**3 + 85662*a**2 + 264192*a + 177504 = 0.
-2, -1, 172
Factor 3*i**2/4 + i/4 - 1/2.
(i + 1)*(3*i - 2)/4
Find x such that 2*x**4 - 214*x**3/5 + 474*x**2/5 - 346*x/5 + 76/5 = 0.
2/5, 1, 19
Factor -2*p**2/7 - 50*p/7.
-2*p*(p + 25)/7
Factor 2916*b**2 - 9504*b + 