 5)/3
Factor 4*h**2/3 + 380*h/3 - 128.
4*(h - 1)*(h + 96)/3
Factor 2*d**2 - 28*d - 64.
2*(d - 16)*(d + 2)
Factor 19*y**4/4 + 98*y**3 + 1323*y**2/2 + 1372*y - 2401/4.
(y + 7)**3*(19*y - 7)/4
Suppose -m**5/4 - 7*m**4/4 - 13*m**3/4 - m**2/4 + 7*m/2 + 2 = 0. What is m?
-4, -2, -1, 1
Solve -235*r**2 - 475*r - 10 = 0 for r.
-2, -1/47
Factor -3*t**2 + 9690*t - 7824675.
-3*(t - 1615)**2
Factor 4*a**4 - 8*a**3 - 28*a**2 + 80*a - 48.
4*(a - 2)**2*(a - 1)*(a + 3)
Suppose -2*n**5/3 + 2*n**4/3 + 92*n**3/3 + 160*n**2/3 = 0. What is n?
-5, -2, 0, 8
Factor -4*y**4 - 8*y**3 - 4*y**2.
-4*y**2*(y + 1)**2
Suppose 3*w**3 + 17895*w**2 + 26676969*w - 26694867 = 0. Calculate w.
-2983, 1
Let 3*u**2 + 642*u + 34347 = 0. What is u?
-107
Suppose 4*v**3 + 160*v**2 - 2828*v + 10584 = 0. Calculate v.
-54, 7
Factor 8*g**3/3 + 190*g**2/3 - 248*g/3 + 50/3.
2*(g - 1)*(g + 25)*(4*g - 1)/3
Suppose -3*d**2 + 132*d - 1452 = 0. What is d?
22
Factor -26*z**3 + 100*z**2 + 146*z + 20.
-2*(z - 5)*(z + 1)*(13*z + 2)
Factor -q**4 + 8*q**3 + 10*q**2 - 8*q - 9.
-(q - 9)*(q - 1)*(q + 1)**2
Determine r so that 80*r**5 + 120*r**4 - 115*r**3 - 75*r**2 - 10*r = 0.
-2, -1/4, 0, 1
Factor -15*l**3/7 + 4*l**2 + 4*l/7.
-l*(l - 2)*(15*l + 2)/7
Factor 2*u**2/3 + 34*u/3 + 20.
2*(u + 2)*(u + 15)/3
Factor -p**4 - 17*p**3 - 38*p**2 + 56*p.
-p*(p - 1)*(p + 4)*(p + 14)
Factor -k**3/2 + 6*k**2.
-k**2*(k - 12)/2
Factor -2*j**3/7 + 132*j**2/7 - 384*j + 17408/7.
-2*(j - 34)*(j - 16)**2/7
Suppose -3*s**5 + 303*s**4 - 2829*s**3 + 9129*s**2 - 10968*s + 4368 = 0. Calculate s.
1, 4, 91
Let -2*w**5/17 + 6*w**4 - 1246*w**3/17 + 4378*w**2/17 + 1248*w/17 - 4480/17 = 0. Calculate w.
-1, 1, 8, 35
Determine n so that n**5 - 6*n**4 - 3*n**3 + 16*n**2 + 12*n = 0.
-1, 0, 2, 6
Suppose -2*g**5/3 + 2*g**4 + 2*g**3/3 - 22*g**2/3 + 8*g - 8/3 = 0. What is g?
-2, 1, 2
What is b in -16*b**5 - 248*b**4 - 345*b**3 - 127*b**2 - 14*b = 0?
-14, -1, -1/4, 0
Solve 2*i**2 + 20*i + 18 = 0.
-9, -1
Solve -2*j**2/9 - 88*j/3 - 968 = 0.
-66
Solve 3*g**5/2 - 21*g**4/2 - 27*g**3 - 3*g**2 + 51*g/2 + 27/2 = 0 for g.
-1, 1, 9
Factor 8*c**4 + 30*c**3 + 34*c**2 + 12*c.
2*c*(c + 1)*(c + 2)*(4*c + 3)
Factor t**4/3 - 8*t**3/3 - 17*t**2 + 6*t + 72.
(t - 12)*(t - 2)*(t + 3)**2/3
Find i, given that i**3/4 + 23*i**2/2 - i/4 - 23/2 = 0.
-46, -1, 1
Let -5*l**5 + 45*l**4 + 30*l**3 - 230*l**2 - 345*l - 135 = 0. Calculate l.
-1, 3, 9
Determine x, given that -8*x**5 + 2*x**4 + 8*x**3 - 2*x**2 = 0.
-1, 0, 1/4, 1
Let -64*v**5 + 74144*v**4 - 28644292*v**3 + 3695105432*v**2 - 1842186544*v + 230049824 = 0. What is v?
1/4, 386
Suppose z**4 + 52*z**3 + 150*z**2 + 148*z + 49 = 0. What is z?
-49, -1
Factor -2*d**4 - 58*d**3 - 320*d**2 + 1536*d.
-2*d*(d - 3)*(d + 16)**2
Factor 2*k**2 + 648*k + 646.
2*(k + 1)*(k + 323)
Factor 2*j**5 - 2*j**3.
2*j**3*(j - 1)*(j + 1)
What is i in -i**5/4 + 19*i**4 - 679*i**3/2 - 898*i**2 + 10959*i/4 - 1521 = 0?
-4, 1, 39
Find p, given that -p**2 + 206*p - 205 = 0.
1, 205
Factor -2*r**2/9 + 808*r/9 - 81608/9.
-2*(r - 202)**2/9
Determine k, given that -4*k**5/9 - 20*k**4/9 - 8*k**3/3 + 8*k**2/9 + 28*k/9 + 4/3 = 0.
-3, -1, 1
Let -2*i**3 - 114*i**2 - 520*i = 0. What is i?
-52, -5, 0
Factor 3*y**4 + 18*y**3 + 36*y**2 + 30*y + 9.
3*(y + 1)**3*(y + 3)
Factor 2*a**5/13 - 20*a**4 + 8704*a**3/13 - 16384*a**2/13.
2*a**2*(a - 64)**2*(a - 2)/13
Solve 4*l**4/3 - 12*l**3 + 44*l**2/3 + 28*l = 0 for l.
-1, 0, 3, 7
Determine w so that w**3/4 + 47*w**2/4 + 44*w + 43 = 0.
-43, -2
Let 3*a**4/5 - 447*a**3/5 + 441*a**2/5 + 447*a/5 - 444/5 = 0. What is a?
-1, 1, 148
What is d in -16*d**5 - 148*d**4 + 140*d**3 + 188*d**2 - 124*d - 40 = 0?
-10, -1, -1/4, 1
Suppose -2*z**3 - 308*z**2 - 306*z = 0. Calculate z.
-153, -1, 0
Determine x, given that -4*x**5 + 8*x**4 + 16*x**3 - 8*x**2 - 12*x = 0.
-1, 0, 1, 3
Find r such that -5*r**5 + 35*r**3 + 30*r**2 = 0.
-2, -1, 0, 3
Let -i**2 + 3252*i - 2643876 = 0. Calculate i.
1626
Factor 7*z**5/3 - 102*z**4 + 4994*z**3/3 - 35816*z**2/3 + 30613*z + 29282/3.
(z - 11)**4*(7*z + 2)/3
Suppose -r**2/4 - 359*r/4 + 90 = 0. Calculate r.
-360, 1
Factor -3*m**2/8 - 51*m/8.
-3*m*(m + 17)/8
Factor s**3/7 + 17*s**2/7.
s**2*(s + 17)/7
Factor 2*q**3 - 6*q - 4.
2*(q - 2)*(q + 1)**2
Factor a**3/2 - 21*a**2/2 + 99*a/2 + 121/2.
(a - 11)**2*(a + 1)/2
What is f in 4*f**3 + 5572*f**2 = 0?
-1393, 0
Find t, given that -5*t**3 - 8510*t**2 - 3629500*t - 7225000 = 0.
-850, -2
Factor 2*c**4/15 - 8*c**3/3 + 96*c**2/5 - 896*c/15 + 1024/15.
2*(c - 8)*(c - 4)**3/15
Factor 2*c**3 + 1458*c**2 + 354294*c + 28697814.
2*(c + 243)**3
Factor -5*y**2 - 140*y + 300.
-5*(y - 2)*(y + 30)
Factor -7*s**3/2 - 5*s**2 - 3*s/2.
-s*(s + 1)*(7*s + 3)/2
Factor -y**3/6 - y**2/2 - y/2 - 1/6.
-(y + 1)**3/6
Determine v, given that 2*v**3 - 30*v**2 + 54*v + 486 = 0.
-3, 9
Factor 2*l**4/9 + 20*l**3/9 + 58*l**2/9 + 40*l/9.
2*l*(l + 1)*(l + 4)*(l + 5)/9
Let -h**2/7 - 31*h/7 + 32/7 = 0. Calculate h.
-32, 1
Factor 20*j**4 - 1135*j**3 + 835*j**2 + 280*j.
5*j*(j - 56)*(j - 1)*(4*j + 1)
Factor -b**2 + 3*b + 70.
-(b - 10)*(b + 7)
Factor -3*s**3/4 - 36*s**2 - 267*s/4 + 207/2.
-3*(s - 1)*(s + 3)*(s + 46)/4
Solve -10*w**4/3 - 13*w**3/3 + 17*w**2/3 + 2*w = 0 for w.
-2, -3/10, 0, 1
Factor -4*z**4/5 + 104*z**3/5 - 84*z**2.
-4*z**2*(z - 21)*(z - 5)/5
Find x such that 5*x**2 + 1520*x + 8940 = 0.
-298, -6
Factor -5*z**3/4 + 25*z**2/4 - 15*z/4 - 45/4.
-5*(z - 3)**2*(z + 1)/4
Find a, given that -5*a**2 + 90*a - 160 = 0.
2, 16
Factor -o**2 - 104*o - 1104.
-(o + 12)*(o + 92)
Let -20*c**3 - 68*c**2 + 48*c = 0. What is c?
-4, 0, 3/5
Factor -3*q**4/8 + 51*q**3/4 + 171*q**2/2 + 177*q + 120.
-3*(q - 40)*(q + 2)**3/8
Determine l so that -2*l**5/15 + 14*l**4/15 - 34*l**3/15 + 34*l**2/15 - 4*l/5 = 0.
0, 1, 2, 3
Determine l so that 6*l**4/7 + 40*l**3/7 + 72*l**2/7 + 32*l/7 = 0.
-4, -2, -2/3, 0
What is a in -2*a**4 - 10*a**3 + 222*a**2 - 406*a + 196 = 0?
-14, 1, 7
Suppose 4*b**3 - 280*b**2 + 548*b - 272 = 0. What is b?
1, 68
Factor 2*h**4 - 40*h**3 - 2*h**2 + 40*h.
2*h*(h - 20)*(h - 1)*(h + 1)
Suppose -2*j**4/7 - 12*j**3/7 + 22*j**2/7 + 120*j/7 - 200/7 = 0. What is j?
-5, 2
Suppose 4*p**4/7 + 528*p**3/7 - 76*p**2 = 0. What is p?
-133, 0, 1
Factor -k**2/4 - 35*k/2 - 69/4.
-(k + 1)*(k + 69)/4
Factor d**2/4 + 105*d/4 + 297/2.
(d + 6)*(d + 99)/4
Suppose -35*x**4 + 1130*x**3 - 320*x**2 = 0. What is x?
0, 2/7, 32
Solve d**5/2 + d**4 - 2*d**3 - 4*d**2 = 0 for d.
-2, 0, 2
Solve -2*n**4 - 66*n**3 - 180*n**2 + 8*n + 240 = 0 for n.
-30, -2, 1
Determine t, given that t**5/3 - 2*t**4/3 - 74*t**3/3 - 68*t**2/3 + 73*t/3 + 70/3 = 0.
-7, -1, 1, 10
Find y such that -y**2/4 - 317*y/2 - 633/4 = 0.
-633, -1
Let -2*c**5/3 - 1274*c**4/3 - 89448*c**3 - 18219104*c**2/3 + 99652096*c/3 + 39201376 = 0. Calculate c.
-214, -1, 6
Factor -2*m**4/13 + 112*m**3/13 - 1452*m**2/13 - 3248*m/13 - 1682/13.
-2*(m - 29)**2*(m + 1)**2/13
Find n such that -2*n**4/17 - 10*n**3/17 - 16*n**2/17 - 8*n/17 = 0.
-2, -1, 0
Factor -8*j**4 + 76*j**3 - 32*j**2 - 36*j.
-4*j*(j - 9)*(j - 1)*(2*j + 1)
Let -42*t**5/5 - 5322*t**4/5 + 6942*t**3/5 + 3786*t**2/5 - 1380*t + 1536/5 = 0. Calculate t.
-128, -1, 2/7, 1
Let i**4/4 + 25*i**3/2 - 26*i**2 = 0. What is i?
-52, 0, 2
Factor -5*w**5 - 5*w**4 + 5*w**3 + 5*w**2.
-5*w**2*(w - 1)*(w + 1)**2
Suppose 22*i**4 + 40*i**3 - 8*i**2 = 0. Calculate i.
-2, 0, 2/11
Factor r**4/5 - 2772*r**3/5 + 1918222*r**2/5 + 3844764*r/5 + 1923769/5.
(r - 1387)**2*(r + 1)**2/5
Suppose -2*y**4/7 + 6*y**3/7 - 2*y**2/7 - 6*y/7 + 4/7 = 0. What is y?
-1, 1, 2
Let 2*l**5 - 370*l**4 - 4656*l**3 - 14184*l**2 = 0. What is l?
-6, 0, 197
Solve 2*z**3/9 + 22*z**2/9 - 2*z/9 - 22/9 = 0.
-11, -1, 1
Find g, given that -12*g**2 + 110*g - 18 = 0.
1/6, 9
Find j such that 2*j**2/7 + 124*j/7 + 1922/7 = 0.
-31
Let 3*u**2/4 - 9*u + 81/4 = 0. What is u?
3, 9
Factor 2*g**3 + 70*g**2 - 2*g - 70.
2*(g - 1)*(g + 1)*(g + 35)
Factor 12*d**3/5 - 124*d**2/5 + 68*d - 20.
4*(d - 5)**2*(3*d - 1)/5
Factor -2*r**3 - 1798*r**2.
-2*r**2*(r + 899)
Suppose -5*s**4/6 - 12*s**3 - 81*s**2/2 + 90*s + 486 = 0. Calculate s.
-6, -27/5, 3
Factor 348*u**3 - 1701*u**2 - 207*u + 60.
3*(u - 5)*(4*u + 1)*(29*u - 4)
Determine x, given that x**5 + 29*x**4/3 - 199*x**3/3 - 67*x**2 + 508*x/3 - 140/3 = 0.
-14, -2, 1/3, 1, 5
Let -c**3/2 + 7*c**2 + 89*c/2 + 57 = 0. What is c?
-3, -2, 19
Factor 4*g**3 + 120*g**2 - 52*g