h**3/6 - 7*h**2/2 + 41*h/6 - 10/3.
(h - 4)*(h - 1)**2*(h + 5)/6
Let -i**3/4 - 31*i**2/4 - 109*i/2 - 110 = 0. Calculate i.
-22, -5, -4
Suppose -3*r**4 + 12*r**3 + 489*r**2 + 1518*r - 2016 = 0. What is r?
-7, -6, 1, 16
Factor 2*w**2/5 - 78*w.
2*w*(w - 195)/5
Solve -i**4/5 - 84*i**3/5 + 348*i**2/5 - 352*i/5 = 0 for i.
-88, 0, 2
Let -4*a**5 - 148*a**4 + 808*a**3 - 1328*a**2 + 672*a = 0. Calculate a.
-42, 0, 1, 2
Factor 4*m**4 - 96*m**3 + 88*m**2 + 96*m - 92.
4*(m - 23)*(m - 1)**2*(m + 1)
Factor -c**2/4 + 830*c - 688900.
-(c - 1660)**2/4
Factor -611524*g**4 - 3675400*g**3 - 5541268*g**2 - 56400*g - 144.
-4*(g + 3)**2*(391*g + 2)**2
Let w**4/9 - 11*w**3/3 + 3*w**2 + 157*w/9 + 32/3 = 0. What is w?
-1, 3, 32
Factor -2*p**2/7 - 18*p/7 + 44/7.
-2*(p - 2)*(p + 11)/7
Determine l so that l**2 - 160*l + 6400 = 0.
80
Factor 6*z**3/7 + 102*z**2/7 - 108*z/7.
6*z*(z - 1)*(z + 18)/7
Solve -18*w**4/11 - 68*w**3/11 + 214*w**2/11 - 152*w/11 + 24/11 = 0 for w.
-6, 2/9, 1
Factor 3*i**2/5 - 534*i/5 + 531/5.
3*(i - 177)*(i - 1)/5
Find m, given that m**5/2 + m**4/2 - 6*m**3 + 2*m**2 + 8*m = 0.
-4, -1, 0, 2
Factor 3*l**4/5 + 66*l**3/5 - 12*l**2/5 - 264*l/5.
3*l*(l - 2)*(l + 2)*(l + 22)/5
Find t, given that 4*t**5 - 28*t**4 - 156*t**3 + 380*t**2 - 200*t = 0.
-5, 0, 1, 10
Factor -285*g**3 - 282*g**2 + 573*g - 6.
-3*(g - 1)*(g + 2)*(95*g - 1)
Determine k, given that -4*k**5 + 268*k**4 + 828*k**3 + 836*k**2 + 280*k = 0.
-1, 0, 70
Solve -34*z**5 - 349*z**4/3 - 176*z**3/3 + 220*z**2/3 - 16*z/3 = 0 for z.
-2, 0, 4/51, 1/2
Factor -2*m**5/13 + 4*m**4/13 - 2*m**3/13.
-2*m**3*(m - 1)**2/13
Solve 3*a**3 - 126*a**2 + 468*a + 20280 = 0 for a.
-10, 26
Factor 2*u**4 + 80*u**3 - 84*u**2 - 80*u + 82.
2*(u - 1)**2*(u + 1)*(u + 41)
Suppose 3*w**3 - 15*w**2 - 42*w = 0. What is w?
-2, 0, 7
What is i in 12*i**4 + 48*i**3 - 225*i**2 + 183*i - 42 = 0?
-7, 1/2, 2
Determine z, given that 12*z**5/7 + 96*z**4/7 - 51*z**3 + 411*z**2/7 - 195*z/7 + 33/7 = 0.
-11, 1/2, 1
Solve 5*v**2 - 30*v + 40 = 0 for v.
2, 4
Factor -5*x**2 + 635*x - 1250.
-5*(x - 125)*(x - 2)
What is z in z**5 - 29*z**4 + 268*z**3 - 640*z**2 - 1600*z + 2000 = 0?
-2, 1, 10
Factor -2*i**3/3 + 8*i**2/3 - 10*i/3 + 4/3.
-2*(i - 2)*(i - 1)**2/3
Factor 18*m**3 + 148*m**2 + 158*m + 28.
2*(m + 1)*(m + 7)*(9*m + 2)
Let 32*u**4/3 + 5072*u**3 + 37874*u**2/3 + 5362*u + 1892/3 = 0. What is u?
-473, -2, -1/4
Suppose -v**5 - 223*v**4 - 882*v**3 - 1318*v**2 - 877*v - 219 = 0. Calculate v.
-219, -1
Find v, given that 16*v**2/5 + 94*v/5 - 12/5 = 0.
-6, 1/8
Suppose 2*c**4/13 - 8*c**3/13 + 4*c**2/13 + 8*c/13 - 6/13 = 0. Calculate c.
-1, 1, 3
Find c, given that -c**2/6 - 2*c + 15/2 = 0.
-15, 3
Suppose 2*u**3/5 - 86*u**2 + 2072*u/5 + 1176 = 0. Calculate u.
-2, 7, 210
Factor -l**5 + 7*l**4 + 2*l**3 - 14*l**2 - l + 7.
-(l - 7)*(l - 1)**2*(l + 1)**2
Factor -5*b**3 + 425*b**2 - 2415*b + 3555.
-5*(b - 79)*(b - 3)**2
Suppose 32*o**3/11 - 2877*o**2/11 + 64530*o/11 + 6075/11 = 0. What is o?
-3/32, 45
Find q, given that -14*q**4/15 + 8*q**3/15 + 14*q**2/5 - 52*q/15 + 16/15 = 0.
-2, 4/7, 1
Factor -3*u**2 + 24*u.
-3*u*(u - 8)
Solve -15*d**3 + 1580*d**2 - 525*d = 0 for d.
0, 1/3, 105
Find o such that o**3/7 + 97*o**2/7 + 375*o/7 + 279/7 = 0.
-93, -3, -1
Factor 8*d**4 - 20*d**3 - 76*d**2 + 168*d.
4*d*(d - 2)*(d + 3)*(2*d - 7)
Suppose -g**2 - 50*g + 336 = 0. What is g?
-56, 6
Solve -p**4/2 + 2*p**3 + 9*p**2 - 54*p + 135/2 = 0 for p.
-5, 3
Solve i**2/5 + 11*i/5 - 102/5 = 0.
-17, 6
Find v, given that -4*v**3/3 - 12*v**2 + 4*v/3 + 12 = 0.
-9, -1, 1
Factor -10*z**2 - 538*z + 108.
-2*(z + 54)*(5*z - 1)
Factor u**5/5 - 3*u**4 + 84*u**3/5 - 208*u**2/5 + 192*u/5.
u*(u - 4)**3*(u - 3)/5
Suppose i**2 - 6*i + 9 = 0. What is i?
3
Factor -2*d**2 + 10*d + 72.
-2*(d - 9)*(d + 4)
Factor -2*o**3/3 + 848*o**2/3 + 850*o/3.
-2*o*(o - 425)*(o + 1)/3
Find l such that 2*l**4/9 + 4*l**3 - 40*l**2/3 + 124*l/9 - 14/3 = 0.
-21, 1
Factor 12*x**3 + 3*x**2 - 30*x - 21.
3*(x + 1)**2*(4*x - 7)
Factor -2*z**3/9 - 44*z**2 - 2904*z - 63888.
-2*(z + 66)**3/9
Let -156*w**3/7 + 632*w**2/7 - 500*w/7 + 24/7 = 0. Calculate w.
2/39, 1, 3
Solve 2*u**4/9 + 22*u**3/9 + 58*u**2/9 - 22*u/9 - 20/3 = 0 for u.
-6, -5, -1, 1
Factor 2*p**2/15 - 26*p - 1592/15.
2*(p - 199)*(p + 4)/15
Factor -2*j**4 + 22*j**3.
-2*j**3*(j - 11)
Factor -3*t**4 + 129*t**3 - 1449*t**2 + 1323*t.
-3*t*(t - 21)**2*(t - 1)
Factor -3*h**4/4 - 3*h**3/2 + 6*h**2.
-3*h**2*(h - 2)*(h + 4)/4
Determine y so that y**2/7 + y/7 - 2/7 = 0.
-2, 1
Determine t, given that -5*t**4 - 45*t**3 + 75*t**2 + 265*t + 150 = 0.
-10, -1, 3
Factor 3*s**4 - 27*s**2.
3*s**2*(s - 3)*(s + 3)
Factor 36*f**5 - 80*f**4 + 16*f**3.
4*f**3*(f - 2)*(9*f - 2)
Suppose -f**2/6 + 13*f/6 + 50 = 0. What is f?
-12, 25
Factor s**4 - 100*s**3 - 533*s**2 + 792*s + 5040.
(s - 105)*(s - 3)*(s + 4)**2
Factor v**3 - 92*v**2 + 2116*v.
v*(v - 46)**2
Factor m**5 + 11*m**4 + 11*m**3 - 59*m**2 + 36*m.
m*(m - 1)**2*(m + 4)*(m + 9)
Factor n**3/7 + 11*n**2/7 + 19*n/7 + 9/7.
(n + 1)**2*(n + 9)/7
Factor -c**3/2 + 47*c**2/2 + 101*c/2 - 147/2.
-(c - 49)*(c - 1)*(c + 3)/2
Determine a, given that -3*a**2 - 42*a - 135 = 0.
-9, -5
Factor j**2/3 - 11*j + 32/3.
(j - 32)*(j - 1)/3
Find p such that -2*p**2/13 + 38*p/13 - 36/13 = 0.
1, 18
Determine g so that -g**4/4 - 3*g**3/2 + 12*g**2 - 37*g/2 + 33/4 = 0.
-11, 1, 3
Factor -4*m**4 + 40*m**3 + 4*m**2 - 40*m.
-4*m*(m - 10)*(m - 1)*(m + 1)
Find y such that 525*y**2/4 + 1311*y - 15 = 0.
-10, 2/175
Factor -h**3/2 + 216*h**2 - 23754*h + 91592.
-(h - 214)**2*(h - 4)/2
What is d in d**4/3 + 4*d**3/3 + 5*d**2/3 + 2*d/3 = 0?
-2, -1, 0
Solve -s**5/5 + 6*s**4/5 - 13*s**3/5 + 12*s**2/5 - 4*s/5 = 0.
0, 1, 2
Factor -h**2/8 + 27*h/4 - 693/8.
-(h - 33)*(h - 21)/8
Factor -3*v**4/4 - 15*v**3/4 + 3*v**2/2 + 18*v.
-3*v*(v - 2)*(v + 3)*(v + 4)/4
Factor d**3/4 + 7*d**2/4 - 5*d/2 - 4.
(d - 2)*(d + 1)*(d + 8)/4
Factor m**3/4 + 57*m**2/2 + 936*m + 6760.
(m + 10)*(m + 52)**2/4
Suppose -p**5/2 - 15*p**4/2 - 34*p**3 - 24*p**2 + 144*p + 216 = 0. What is p?
-6, -3, -2, 2
Factor 2*n**3/7 + 180*n**2/7 + 4224*n/7 + 7744/7.
2*(n + 2)*(n + 44)**2/7
Factor -a**3 + 148*a**2 + 151*a - 298.
-(a - 149)*(a - 1)*(a + 2)
Find b such that b**5/3 - 4*b**4 + 17*b**3 - 92*b**2/3 + 20*b = 0.
0, 2, 3, 5
What is c in 2*c**5/13 + 14*c**4/13 - 18*c**3/13 - 14*c**2/13 + 16*c/13 = 0?
-8, -1, 0, 1
Factor -5*q**2 - 55*q + 130.
-5*(q - 2)*(q + 13)
Factor 3579110*g**4 + 1129184*g**3 - 112464*g**2 + 3328*g - 32.
2*(5*g + 2)*(71*g - 2)**3
Suppose -a**3 - 12*a**2 + 27*a - 14 = 0. Calculate a.
-14, 1
Factor 5*z**3/3 - 335*z**2/3 + 320*z.
5*z*(z - 64)*(z - 3)/3
Factor 2*g**2 - 90*g + 400.
2*(g - 40)*(g - 5)
Determine w, given that 3*w**5/8 - 9*w**4/8 - 27*w**3/8 - 15*w**2/8 = 0.
-1, 0, 5
Factor 2*p**4/3 - 14*p**3 + 38*p**2 - 110*p/3 + 12.
2*(p - 18)*(p - 1)**3/3
Factor 5*c**4 + 50*c**3 + 120*c**2 - 50*c - 125.
5*(c - 1)*(c + 1)*(c + 5)**2
What is y in -2*y**2/7 + 46*y/7 - 12 = 0?
2, 21
Factor 8*m**3/5 + 14*m**2/5 - 284*m/5 + 14.
2*(m - 5)*(m + 7)*(4*m - 1)/5
What is t in t**3 - 7*t**2 + 10*t = 0?
0, 2, 5
Let -45*f**4 + 1761*f**3 - 18189*f**2 + 18639*f - 2166 = 0. What is f?
2/15, 1, 19
Determine z, given that -z**5/3 + 3*z**4 - 28*z**3/3 + 12*z**2 - 16*z/3 = 0.
0, 1, 2, 4
What is s in -2*s**3 + 28*s**2 = 0?
0, 14
Determine b, given that -2*b**5/19 - 4*b**4/19 + 86*b**3/19 + 160*b**2/19 - 600*b/19 = 0.
-5, 0, 2, 6
Let 2*k**3/11 + 12*k**2/11 - 2*k/11 - 12/11 = 0. What is k?
-6, -1, 1
Factor b**5/5 - 32*b**4 + 5902*b**3/5 + 7968*b**2 + 62001*b/5.
b*(b - 83)**2*(b + 3)**2/5
Factor -2*i**3/9 + 16*i**2/9 + 32*i/3.
-2*i*(i - 12)*(i + 4)/9
Factor -2*p**3/9 - 4*p**2/9 + 2*p/9 + 4/9.
-2*(p - 1)*(p + 1)*(p + 2)/9
Factor o**4 + 123*o**3 + 711*o**2 + 1057*o + 468.
(o + 1)**2*(o + 4)*(o + 117)
Let -5*t**2 + 120*t - 220 = 0. What is t?
2, 22
Suppose -2*w**3/3 + 26*w/3 - 8 = 0. Calculate w.
-4, 1, 3
Let -4*k**5 - 4*k**4 + 44*k**3 + 116*k**2 + 104*k + 32 = 0. Calculate k.
-2, -1, 4
Let k**2/3 - 17*k/3 + 10 = 0. Calculate k.
2, 15
Factor t**3 + 62*t**2 - 477*t + 414.
(t - 6)*(t - 1)*(t + 69)
Factor -257*f**2/4 + 128*f + 1.
-(f - 2)*(257*f + 2)/4
Factor -14*l**2/13 + 10*l/13 + 4/13.
-2*(l - 1)*(7*l + 2)/13
Factor -l**3/2 + 395*l**2 - 78406*l + 155236.
-(l - 394)**2*(l - 2)/2
What is x in 4*x**3 - 104*x**2 + 416*x + 3584 = 0?
-4, 14, 16
Factor 