r -l**2/7 + 1580*l/7 - 624100/7.
-(l - 790)**2/7
Suppose -6*w**4 + 128*w**3 + 94*w**2 - 128*w - 88 = 0. Calculate w.
-1, -2/3, 1, 22
Find w, given that -13*w**2/3 + 18*w - 8/3 = 0.
2/13, 4
Suppose -5*t**4/3 - 850*t**3/3 - 840*t**2 - 2510*t/3 - 835/3 = 0. Calculate t.
-167, -1
Factor s**4/9 + 2*s**3/9 - 2*s/9 - 1/9.
(s - 1)*(s + 1)**3/9
Factor 4*v**2/5 - 106*v/15.
2*v*(6*v - 53)/15
Factor -5*p**2 - 1270*p - 80645.
-5*(p + 127)**2
Factor x**3 - 216*x**2 + 215*x.
x*(x - 215)*(x - 1)
Determine u, given that -8*u**5/3 - 238*u**4/9 + 614*u**3/9 + 136*u**2/9 - 392*u/9 - 32/3 = 0.
-12, -2/3, -1/4, 1, 2
Factor 2*d**3/15 + 54*d**2/5 + 234*d + 3042/5.
2*(d + 3)*(d + 39)**2/15
Factor r**3/2 + 3*r**2/2 - 12*r + 14.
(r - 2)**2*(r + 7)/2
Factor -l**4/2 + 3*l**3/2 + l**2 - 6*l + 4.
-(l - 2)**2*(l - 1)*(l + 2)/2
Factor 2*j**3 - 24*j**2.
2*j**2*(j - 12)
Let -2*n**3/3 - 656*n**2/3 + 8*n/3 + 2624/3 = 0. Calculate n.
-328, -2, 2
What is p in 14*p**5/5 + 3748*p**4/5 + 254036*p**3/5 + 426128*p**2/5 + 21014*p - 70756/5 = 0?
-133, -1, 2/7
Find y, given that 27*y**2/8 - 147*y/2 - 33/2 = 0.
-2/9, 22
Factor -2*t**3/5 + 2*t**2 + 66*t/5 + 54/5.
-2*(t - 9)*(t + 1)*(t + 3)/5
Factor 2*m**5 - 10*m**4 + 12*m**3 + 8*m**2 - 16*m.
2*m*(m - 2)**3*(m + 1)
Solve s**4 + 360*s**3 + 717*s**2 + 358*s = 0 for s.
-358, -1, 0
Factor -d**4 - 34*d**3 - 96*d**2 - 94*d - 31.
-(d + 1)**3*(d + 31)
Suppose 2*x**2/9 + 890*x/9 - 892/9 = 0. What is x?
-446, 1
Let c**2/6 + 159*c/2 - 239/3 = 0. Calculate c.
-478, 1
Factor m**4 + 27*m**3 + 137*m**2 - 615*m + 450.
(m - 2)*(m - 1)*(m + 15)**2
Solve -5*j**2/4 + 455*j - 8975/4 = 0 for j.
5, 359
Suppose 2*i**5/17 - 14*i**4/17 + 28*i**3/17 - 4*i**2/17 - 30*i/17 + 18/17 = 0. Calculate i.
-1, 1, 3
Find d, given that -3*d**5 - 21*d**4 + 3*d**3 + 21*d**2 = 0.
-7, -1, 0, 1
Factor a**4 + 126*a**3 + 3969*a**2.
a**2*(a + 63)**2
Factor z**3/3 - 683*z**2/6 + 9690*z + 9747/2.
(z - 171)**2*(2*z + 1)/6
Factor 3*w**3 - 2277*w**2 + 576081*w - 48582831.
3*(w - 253)**3
Factor 2*m**2/5 + 28*m - 142/5.
2*(m - 1)*(m + 71)/5
What is f in 2*f**4/15 + 6*f**3/5 + 8*f**2/3 = 0?
-5, -4, 0
Factor 2*m**2/5 - 208*m/5 + 5408/5.
2*(m - 52)**2/5
Let 2*w**2/3 + 116*w + 688/3 = 0. Calculate w.
-172, -2
Find k, given that 5*k**4 - 23*k**3 - 120*k**2 - 124*k - 32 = 0.
-2, -1, -2/5, 8
Solve -12*t**4 + 2936*t**3 - 4864*t**2 + 968*t + 972 = 0.
-1/3, 1, 243
Suppose 4*d**4 - 40*d**2 + 36 = 0. What is d?
-3, -1, 1, 3
Factor -l**4 - 14*l**3 - 57*l**2 - 76*l - 32.
-(l + 1)**2*(l + 4)*(l + 8)
What is j in -7*j**2 - 61*j - 84 = 0?
-7, -12/7
What is s in -2*s**2/5 - 132*s/5 + 134/5 = 0?
-67, 1
Factor -2*n**2/11 + 96*n/11 + 200/11.
-2*(n - 50)*(n + 2)/11
Find n, given that 2*n**4/21 - 2*n**3/7 - 8*n**2/21 + 8*n/7 = 0.
-2, 0, 2, 3
Factor -2*c**3/11 + 40*c**2/11 - 74*c/11 + 36/11.
-2*(c - 18)*(c - 1)**2/11
Find l such that -2*l**2/7 + 878*l/7 - 3480/7 = 0.
4, 435
Find u such that -3*u**2/5 + 5838*u/5 - 2840187/5 = 0.
973
Factor -m**5 - 7*m**4 - 4*m**3 + 12*m**2.
-m**2*(m - 1)*(m + 2)*(m + 6)
Factor 5*s**4 + 325*s**3 + 5430*s**2 + 4480*s - 10240.
5*(s - 1)*(s + 2)*(s + 32)**2
Factor i**5/5 + 3*i**4/5 + i**3/5 - 3*i**2/5 - 2*i/5.
i*(i - 1)*(i + 1)**2*(i + 2)/5
Factor 4*i**3 + 24*i**2 + 20*i.
4*i*(i + 1)*(i + 5)
Suppose 2*k**4/9 - 38*k**3/9 - 40*k**2/9 = 0. What is k?
-1, 0, 20
Find d such that -3*d**5/4 - 187*d**4/4 - 1817*d**3/4 + 36351*d**2/4 - 5670*d - 2916 = 0.
-36, -1/3, 1, 9
What is m in m**3/4 - 9*m**2 + 17*m = 0?
0, 2, 34
What is q in -56*q**2/3 - 52*q + 12 = 0?
-3, 3/14
Factor -3*s**4 + 3*s**3 + 12*s**2 - 12*s.
-3*s*(s - 2)*(s - 1)*(s + 2)
Find o such that -3*o**2/4 + 75*o/4 - 69/2 = 0.
2, 23
Determine l, given that -5*l**2 + 730*l = 0.
0, 146
Factor -s**3 + 51*s**2 - 99*s + 49.
-(s - 49)*(s - 1)**2
Determine b, given that b**3/10 - 13*b/10 + 6/5 = 0.
-4, 1, 3
Suppose -2*s**3/17 + 508*s**2/17 = 0. What is s?
0, 254
Determine w so that 4*w**4 + 364*w**3 + 1404*w**2 + 1044*w = 0.
-87, -3, -1, 0
Factor -4*g**2/3 - 46*g/3 - 22/3.
-2*(g + 11)*(2*g + 1)/3
Factor -v**4 + 11*v**3 + 25*v**2 + 13*v.
-v*(v - 13)*(v + 1)**2
Factor 3*f**3 - 24*f**2 - 213*f + 234.
3*(f - 13)*(f - 1)*(f + 6)
Determine s, given that -4*s**2 + 64*s - 156 = 0.
3, 13
Suppose 2*c**3/13 + 44*c**2/13 - 170*c/13 - 500/13 = 0. What is c?
-25, -2, 5
Factor -4*a**3 + 28*a**2/9 + 80*a/9 + 16/9.
-4*(a - 2)*(a + 1)*(9*a + 2)/9
What is u in 100*u**5 - 1420*u**4 + 2796*u**3 - 1908*u**2 + 432*u = 0?
0, 3/5, 1, 12
Factor y**3/2 - 194*y**2.
y**2*(y - 388)/2
Factor 7*v**2 + 527*v + 150.
(v + 75)*(7*v + 2)
Determine n so that -2*n**2/11 - 90*n/11 - 8 = 0.
-44, -1
Let g**5 + 11*g**4 + 36*g**3 + 16*g**2 - 64*g = 0. Calculate g.
-4, 0, 1
Determine a, given that -2*a**4/9 - 20*a**3/9 + 310*a**2/9 + 40*a - 72 = 0.
-18, -2, 1, 9
Factor s**4/7 - 3*s**3/7 - 20*s**2/7 + 48*s/7 + 64/7.
(s - 4)**2*(s + 1)*(s + 4)/7
Solve -2*w**2/11 - 42*w/11 + 1640/11 = 0.
-41, 20
Solve 4*q**5 + 1792*q**4 + 198896*q**3 - 406792*q**2 - 198900*q + 405000 = 0 for q.
-225, -1, 1, 2
Solve -4*a**5 - 38*a**4 + 102*a**3 + 412*a**2 + 176*a = 0.
-11, -2, -1/2, 0, 4
Factor -26*s**2/5 - 8*s/5.
-2*s*(13*s + 4)/5
Factor -n**5 + 9*n**4 + 4*n**3 - 156*n**2 + 144*n.
-n*(n - 6)**2*(n - 1)*(n + 4)
Determine w so that -5*w**2/3 + 20*w/3 + 160/3 = 0.
-4, 8
Suppose -3*a**2/4 + 9*a/4 + 27/2 = 0. Calculate a.
-3, 6
Factor -5*w**2 + 45*w - 90.
-5*(w - 6)*(w - 3)
Find d such that -2*d**4 - 42*d**3 - 194*d**2 + 330*d + 484 = 0.
-11, -1, 2
Determine w so that -4*w**2/5 + 1712*w/5 - 183184/5 = 0.
214
Factor -2*n**2 + 114*n - 220.
-2*(n - 55)*(n - 2)
Factor 3*r**2 - 2283*r + 2280.
3*(r - 760)*(r - 1)
Factor 2*i**2/5 + 8*i/5 + 8/5.
2*(i + 2)**2/5
Factor h**3 - 10*h**2 + 25*h.
h*(h - 5)**2
Suppose -y**2/11 - 16*y/11 - 5 = 0. What is y?
-11, -5
Factor 8*l**2/3 + 118*l/9 - 10/9.
2*(l + 5)*(12*l - 1)/9
Factor -10*v**5 + 45*v**4 + 40*v**3 - 520*v**2 + 960*v - 560.
-5*(v - 2)**4*(2*v + 7)
Factor g**3/3 + 36*g**2 + 972*g.
g*(g + 54)**2/3
Let -2*k**3/21 - 1438*k**2/7 - 1033922*k/7 - 743389918/21 = 0. What is k?
-719
Factor -4*y**3 - 48*y**2 + 60*y + 104.
-4*(y - 2)*(y + 1)*(y + 13)
Factor 2*j**3/3 + 16*j**2/3 - 22*j/3 - 12.
2*(j - 2)*(j + 1)*(j + 9)/3
Factor -2*f**2/17 - 764*f/17 - 762/17.
-2*(f + 1)*(f + 381)/17
Factor l**3/4 + 161*l**2/2 + 25921*l/4.
l*(l + 161)**2/4
Factor 3*r**3/2 - 9*r**2 + 27*r/2.
3*r*(r - 3)**2/2
Factor 4*r**3/5 - 209*r**2 - 1843*r/5 + 526/5.
(r - 263)*(r + 2)*(4*r - 1)/5
Factor b**5 - 4*b**4 + 5*b**3 - 2*b**2.
b**2*(b - 2)*(b - 1)**2
Suppose 12*w**2 - 315*w - 1350 = 0. Calculate w.
-15/4, 30
Solve -2*c**4 + 12768*c**3 - 30566592*c**2 + 32522853888*c - 12976618701312 = 0.
1596
Let 3*g**5 - 264*g**4/5 + 1377*g**3/5 - 2436*g**2/5 + 588*g/5 + 144 = 0. What is g?
-2/5, 1, 3, 4, 10
Determine n, given that -n**5/10 - 8*n**4/5 - 23*n**3/5 + 72*n**2/5 - 81*n/10 = 0.
-9, 0, 1
Solve -2*n**3/15 + 138*n**2/5 = 0 for n.
0, 207
Find z such that 2*z**4 + 2024*z**3 + 4042*z**2 + 2020*z = 0.
-1010, -1, 0
Find v such that -v**2 - 15*v + 16 = 0.
-16, 1
Determine h, given that h**2/9 - 682*h/9 + 116281/9 = 0.
341
What is k in -k**4/4 - 17*k**3/4 + 37*k**2/4 - 19*k/4 = 0?
-19, 0, 1
Determine n so that -25*n**3/2 - 35*n**2/2 + 12*n + 18 = 0.
-6/5, 1
Find d such that -2*d**3/7 + 216*d/7 + 864/7 = 0.
-6, 12
Factor 5*s**3 + 100*s**2.
5*s**2*(s + 20)
Factor 5*x**4 + 690*x**3 + 2700*x**2 + 2680*x.
5*x*(x + 2)**2*(x + 134)
Solve -4*r**3 + 144*r**2 - 132*r - 280 = 0 for r.
-1, 2, 35
Determine m so that 121*m**2/5 + 1056*m/5 + 2304/5 = 0.
-48/11
Factor -2*l**5/3 - 4*l**4 - 2*l**3/3 + 16*l**2 - 32*l/3.
-2*l*(l - 1)**2*(l + 4)**2/3
Suppose -15*j**5/8 + 12*j**4 + 9*j**3/8 - 129*j**2/4 - 21*j/2 + 9 = 0. Calculate j.
-1, 2/5, 2, 6
Find w, given that -2*w**4 + 260*w**3 + 264*w**2 - 260*w - 262 = 0.
-1, 1, 131
Factor 10*s**2 + 285*s + 140.
5*(s + 28)*(2*s + 1)
Factor w**2/3 + 5570*w/3 + 7756225/3.
(w + 2785)**2/3
Let -25*p**4/2 - 160*p**3 - 519*p**2/2 - 134*p - 22 = 0. Calculate p.
-11, -1, -2/5
Determine f so that -3*f**3 - 60*f**2 - 192*f = 0.
-16, -4, 0
Factor u**4/2 - 15*u**3 + 117*u**2/2 + 124*u - 600.
(u - 25)*(u - 4)**2*(u + 3)/2
Suppose -5*p**4 + 9590*p**3 - 4598400*p**2 - 9590*p + 4598405 = 0. Calculate p.
-1, 1, 959
Factor 2*m**4/3 + 20*m**3/3 + 34*m**2/3 + 16*m/3.
2*m*(m + 1)**2*(m + 8)/3
Let -28*o**5 + 120*o**4 - 3