82*v**3 - 3445*v**2/3 - 766*v.
v*(v - 1149)*(v + 1)*(v + 2)/3
Find u such that -10*u**4/3 - 244*u**3/9 - 10*u**2/3 + 16*u/9 = 0.
-8, -1/3, 0, 1/5
Factor d**5/7 + 144*d**4/7 + 3753*d**3/7 - 100818*d**2/7 + 96228*d - 1417176/7.
(d - 6)**3*(d + 81)**2/7
Suppose -c**4/2 + c**3/2 + 15*c**2/2 + 23*c/2 + 5 = 0. What is c?
-2, -1, 5
Determine s so that -s**5/4 + 27*s**4/4 - 243*s**3/4 + 729*s**2/4 = 0.
0, 9
Factor -s**3 - 39*s**2 + 4*s + 156.
-(s - 2)*(s + 2)*(s + 39)
Factor u**3/2 + 53*u**2/2 + 479*u/2 - 533/2.
(u - 1)*(u + 13)*(u + 41)/2
Factor -2*g**2/9 - 10*g/9 - 8/9.
-2*(g + 1)*(g + 4)/9
Suppose 8*b**5/7 - 58*b**4/7 + 62*b**3/7 - 12*b**2/7 = 0. Calculate b.
0, 1/4, 1, 6
Factor -v**4 + 20*v**3 - 78*v**2 - 220*v - 121.
-(v - 11)**2*(v + 1)**2
Factor 4*w**2 - 2656*w.
4*w*(w - 664)
Solve 4*x**3 - 719*x**2 + 536*x + 179 = 0.
-1/4, 1, 179
Find s, given that s**2 - 28*s + 196 = 0.
14
Factor 3*s**4 + 996*s**3 + 1983*s**2 + 990*s.
3*s*(s + 1)**2*(s + 330)
Find r, given that r**5/3 + r**4 - 5*r**3/3 - r**2 + 4*r/3 = 0.
-4, -1, 0, 1
Factor -44521*b**5 + 88198*b**4 - 42837*b**3 - 836*b**2 - 4*b.
-b*(b - 1)**2*(211*b + 2)**2
Find s, given that 10*s**3 + 1205*s**2 - 1825*s + 610 = 0.
-122, 1/2, 1
Find a, given that 5*a**2 + 70*a + 200 = 0.
-10, -4
Determine n, given that 3*n**5 + 9*n**4 - 27*n**3 - 69*n**2 + 72*n + 108 = 0.
-3, -1, 2
Factor 3*h**5 + 12*h**4 + 18*h**3 + 12*h**2 + 3*h.
3*h*(h + 1)**4
Find d such that -d**2 - 4818*d - 5803281 = 0.
-2409
Suppose -5*k**5 + 15*k**4 - 10*k**3 = 0. Calculate k.
0, 1, 2
Factor -j**4 - 3*j**3 - 3*j**2 - j.
-j*(j + 1)**3
Suppose 4*r**2/9 + 4*r/9 - 208/3 = 0. Calculate r.
-13, 12
Solve 2*s**5/9 - 6*s**4 + 424*s**3/9 - 320*s**2/9 - 1600*s/3 - 4000/9 = 0 for s.
-2, -1, 10
Factor -3*b**5/4 - 9*b**4/4 - 9*b**3/4 - 3*b**2/4.
-3*b**2*(b + 1)**3/4
Determine w, given that -5*w**3/4 - 355*w**2/4 - 695*w/4 - 345/4 = 0.
-69, -1
Factor -u**3/2 - 50*u**2 - 192*u.
-u*(u + 4)*(u + 96)/2
Factor -2*l**4/5 - 36*l**3/5 + 24*l**2 - 124*l/5 + 42/5.
-2*(l - 1)**3*(l + 21)/5
What is u in -4*u**3 + 2144*u**2 + 4300*u + 2152 = 0?
-1, 538
Solve -f**2/2 - 6939*f - 48149721/2 = 0.
-6939
Determine f, given that 2*f**4 + 12*f**3 + 18*f**2 = 0.
-3, 0
Factor 2*q**4 - 748*q**3 + 69186*q**2 + 140624*q + 70688.
2*(q - 188)**2*(q + 1)**2
Factor 2*f**4/3 + 4*f**3/3 - 2*f**2 - 16*f/3 - 8/3.
2*(f - 2)*(f + 1)**2*(f + 2)/3
Factor -u**4/2 + 6*u**3 - 53*u**2/2 + 51*u - 36.
-(u - 4)*(u - 3)**2*(u - 2)/2
Determine d, given that -d**3 - 182*d**2 - 8281*d = 0.
-91, 0
Factor l**3/4 - 38*l**2 + 5925*l/4 - 5625/2.
(l - 75)**2*(l - 2)/4
Factor d**3 - 137*d**2 - 418*d - 280.
(d - 140)*(d + 1)*(d + 2)
Factor -2*n**3/3 + 136*n**2/3.
-2*n**2*(n - 68)/3
Factor -3*c**4 + 15*c**3 + 12*c**2 - 60*c.
-3*c*(c - 5)*(c - 2)*(c + 2)
Factor -5*k**2 - 9870*k.
-5*k*(k + 1974)
Determine x, given that 3*x**2/4 + 1947*x + 1263603 = 0.
-1298
Factor 2*b**4/9 - 2*b**2/3 - 4*b/9.
2*b*(b - 2)*(b + 1)**2/9
Factor 3*d**2/2 - 741*d/2 - 1125.
3*(d - 250)*(d + 3)/2
Factor -2*l**3/5 - 8*l**2/5 + 2*l.
-2*l*(l - 1)*(l + 5)/5
Factor -h**3/5 - 6*h**2 + 64*h/5.
-h*(h - 2)*(h + 32)/5
Let -3*z**4 - 6*z**3 + 15*z**2 + 18*z = 0. What is z?
-3, -1, 0, 2
Factor g**2/2 + 45*g/2 - 47.
(g - 2)*(g + 47)/2
Factor 2*b**4 - 38*b**3 + 102*b**2 - 98*b + 32.
2*(b - 16)*(b - 1)**3
Let -3*x**4/5 + 72*x**3 - 2052*x**2/5 = 0. Calculate x.
0, 6, 114
Find p such that 4*p**5/9 + 4*p**4/9 - 140*p**3/9 + 220*p**2/9 + 136*p/9 - 224/9 = 0.
-7, -1, 1, 2, 4
Solve 20*x**4 + 24*x**3 - 1504*x**2/5 - 384*x/5 + 4608/5 = 0 for x.
-4, -2, 12/5
What is y in -3*y**2 + 924*y + 2799 = 0?
-3, 311
Factor 2*v**2/15 + 16*v/15 + 14/15.
2*(v + 1)*(v + 7)/15
Factor -245*p**4 - 81690*p**3 - 6786065*p**2 + 3897780*p - 557780.
-5*(p + 167)**2*(7*p - 2)**2
Suppose -5*i**3 - 130*i**2 - 355*i - 230 = 0. What is i?
-23, -2, -1
Factor 7*a**4/6 - 5*a**3/6 - a**2/3.
a**2*(a - 1)*(7*a + 2)/6
Factor -4*r**2 + 40*r - 36.
-4*(r - 9)*(r - 1)
Factor -5*l**4 + 1880*l**3 - 265080*l**2 + 16611680*l - 390374480.
-5*(l - 94)**4
Find a, given that 6*a**4 - 129*a**3/2 - 177*a**2/2 - 18*a = 0.
-1, -1/4, 0, 12
Solve 2*d**2 - 50*d - 52 = 0 for d.
-1, 26
Factor k**2/2 - 255*k/2 - 128.
(k - 256)*(k + 1)/2
Determine q so that q**2 - q - 6 = 0.
-2, 3
Let 3*h**5/4 + 21*h**4/4 - 33*h**3/4 - 381*h**2/4 - 105*h/2 + 150 = 0. Calculate h.
-5, -2, 1, 4
Factor 28*i**2 - 1392*i - 400.
4*(i - 50)*(7*i + 2)
Factor 3*i**2 - 18*i - 120.
3*(i - 10)*(i + 4)
Solve -3*a**2 - 576*a - 27648 = 0 for a.
-96
Factor -65*v**3/2 - 645*v**2 - 3150*v + 500.
-5*(v + 10)**2*(13*v - 2)/2
Factor -d**3/2 - 47*d**2/2 - 519*d/2 + 567/2.
-(d - 1)*(d + 21)*(d + 27)/2
Factor k**2/10 - 501*k + 1255005/2.
(k - 2505)**2/10
What is r in 85264*r**4/3 + 171112*r**3/3 + 28811*r**2 + 586*r/3 + 1/3 = 0?
-1, -1/292
Factor -b**3/8 - 79*b**2/4.
-b**2*(b + 158)/8
Determine o so that -4*o**5 + 8*o**4 + 20*o**3 - 24*o**2 = 0.
-2, 0, 1, 3
Let -21*z**4/2 - 225*z**3/2 - 324*z**2 - 150*z + 72 = 0. What is z?
-6, -4, -1, 2/7
Determine m so that m**3 + m**2 - 81*m - 81 = 0.
-9, -1, 9
Let -3*k**5 + 48*k**4 - 81*k**3 - 744*k**2 - 228*k + 1008 = 0. Calculate k.
-2, 1, 7, 12
Factor -p**4/6 - p**3/3 + 2*p**2 + 20*p/3 + 16/3.
-(p - 4)*(p + 2)**3/6
Let -q**4/4 + 7*q**3/4 - 9*q**2/2 + 5*q - 2 = 0. What is q?
1, 2
Determine h, given that -h**5 - h**4/2 + 15*h**3/2 - 19*h**2/2 + 7*h/2 = 0.
-7/2, 0, 1
What is o in o**4/5 + 4*o**3/5 - 198*o**2/5 + 76*o - 187/5 = 0?
-17, 1, 11
Find c such that -c**2 + 57*c - 212 = 0.
4, 53
Factor -z**2/5 - 11*z/5 - 24/5.
-(z + 3)*(z + 8)/5
Find a, given that 33*a**5/4 + 45*a**4/2 - 117*a**3/2 - 78*a**2 + 801*a/4 - 189/2 = 0.
-3, 1, 14/11
Determine o so that -3*o**2/5 + 174*o/5 - 336/5 = 0.
2, 56
Let 20*b**3 - 1292*b**2 - 4600*b - 1632 = 0. What is b?
-3, -2/5, 68
Let 2*h**2/5 - 236*h/5 - 96 = 0. What is h?
-2, 120
Factor -2*g**3 + 595*g**2/2 - 443*g/2 - 74.
-(g - 148)*(g - 1)*(4*g + 1)/2
Solve 2*n**5/11 + 2*n**4/11 - 18*n**3/11 - 26*n**2/11 + 16*n/11 + 24/11 = 0 for n.
-2, -1, 1, 3
Find u such that -u**5 + 4*u**4 - u**3 - 6*u**2 = 0.
-1, 0, 2, 3
Suppose -k**2/3 + 704*k/3 + 235 = 0. What is k?
-1, 705
What is t in t**4 + 14*t**3 - 1615*t**2 + 18772*t = 0?
-52, 0, 19
Factor -7*s**5/3 - 41*s**4/3 - 26*s**3 - 44*s**2/3 + 8*s/3.
-s*(s + 2)**3*(7*s - 1)/3
Solve -4*w**2/3 - 44*w/3 - 24 = 0.
-9, -2
Factor 2*s**4/11 + 4*s**3/11 - 10*s**2/11 - 12*s/11.
2*s*(s - 2)*(s + 1)*(s + 3)/11
Let -2*f**2/7 + 2/7 = 0. What is f?
-1, 1
Find x such that 2*x**3/7 - 34*x**2/7 + 132*x/7 - 144/7 = 0.
2, 3, 12
Find b such that -2*b**5 + 30*b**4 - 22*b**3 - 86*b**2 + 24*b + 56 = 0.
-1, 1, 2, 14
Let 5*a**2 - 40*a - 100 = 0. What is a?
-2, 10
Factor h**3 + 13*h**2 + 36*h.
h*(h + 4)*(h + 9)
Factor -4*y**2 - 80*y + 176.
-4*(y - 2)*(y + 22)
Determine o so that 15*o**3/2 + 14*o**2 + 11*o/2 - 1 = 0.
-1, 2/15
Factor 5*s**2 - 15*s.
5*s*(s - 3)
Factor -3*i**2 + 141*i.
-3*i*(i - 47)
Let -2*n**4/3 + 46*n**3/3 - 130*n**2/3 - 406*n/3 - 76 = 0. Calculate n.
-1, 6, 19
Find r such that -4*r**4/15 - 38*r**3/15 - 10*r**2/3 - 16*r/15 = 0.
-8, -1, -1/2, 0
Factor 4*a**5 + 40*a**4/3 + 16*a**3 + 8*a**2 + 4*a/3.
4*a*(a + 1)**3*(3*a + 1)/3
Let -8*f**3 + 326*f**2/13 - 56*f/13 - 360/13 = 0. What is f?
-45/52, 2
Factor -u**2 + 9*u - 18.
-(u - 6)*(u - 3)
Let g**2/5 - 8*g/5 - 4 = 0. What is g?
-2, 10
Determine g so that 100*g**4 - 360*g**3 + 224*g**2 + 360*g - 324 = 0.
-1, 1, 9/5
Factor -5*n**4 - 60*n**3 - 150*n**2 + 500*n + 1875.
-5*(n - 3)*(n + 5)**3
Factor -2*n**4 + 36*n**3 - 174*n**2 + 220*n.
-2*n*(n - 11)*(n - 5)*(n - 2)
Factor 2*j**2/19 - 18*j/19 - 20/19.
2*(j - 10)*(j + 1)/19
Suppose 3*o**4/2 + 141*o**3 + 6039*o**2/2 - 13818*o + 14406 = 0. Calculate o.
-49, 2
Let -4*l**4 + 20*l**3 - 12*l**2 - 20*l + 16 = 0. Calculate l.
-1, 1, 4
Factor 2*b**3 - 68*b**2 - 862*b - 792.
2*(b - 44)*(b + 1)*(b + 9)
Determine f so that -f**3/6 - 31*f**2/6 - 25*f = 0.
-25, -6, 0
Factor -5*z**3 - 12310*z**2 - 7576805*z.
-5*z*(z + 1231)**2
What is j in 5*j**4/4 + 5*j**3/2 - 10*j**2 = 0?
-4, 0, 2
Determine r so that r**2/9 - 13*r/9 + 4/3 = 0.
1, 12
Find x, given that -2*x**3/11 + 42*x**2/11 + 252*x/11 + 208/11 = 0.
-4, -1, 26
Suppose -4*a**4/7 - 20*a**3/7 + 16*a**2 + 128*a/7 = 0. What is a?
-8, -1, 0, 4
Factor 21*b**4/5 + 579*b**3/5 - 3978*b**2/5 + 8292*b/5 - 1128.
3*(b - 2)**3*(7*b + 235)/5