*2 + 1760*q + 1600.
4*(q + 5)*(9*q + 20)**2/5
Factor 4*d**2 - 2000*d + 250000.
4*(d - 250)**2
Let v**2 + 5284*v + 6980164 = 0. What is v?
-2642
Suppose h**4 - 8*h**3 + 17*h**2 - 10*h = 0. What is h?
0, 1, 2, 5
Factor s**2/6 + 26*s + 1014.
(s + 78)**2/6
Suppose r**5/4 - 6*r**4 + 161*r**3/4 - 73*r**2/2 - 165*r + 242 = 0. What is r?
-2, 2, 11
Factor -k**2/2 + 12*k + 26.
-(k - 26)*(k + 2)/2
What is a in -a**3 + 5*a**2 + 16*a - 80 = 0?
-4, 4, 5
Let 2*b**3 + 60*b**2 - 126*b + 64 = 0. What is b?
-32, 1
Let 2*m**5/9 + 20*m**4/9 + 26*m**3/9 - 40*m**2/3 + 8*m = 0. Calculate m.
-6, 0, 1
Solve 2*u**5 - 506*u**4 - 520*u**3 + 3048*u**2 = 0.
-3, 0, 2, 254
Factor -5*u**4 + 55*u**3 + 65*u**2 - 55*u - 60.
-5*(u - 12)*(u - 1)*(u + 1)**2
Factor 3*k**2 + 78*k - 168.
3*(k - 2)*(k + 28)
Find n such that 3*n**5 - 6*n**4 - 36*n**3 + 120*n**2 - 96*n = 0.
-4, 0, 2
Suppose -2*d**4/9 - 664*d**3/9 - 56416*d**2/9 - 215168*d/9 = 0. Calculate d.
-164, -4, 0
Factor -d**3/4 + d**2 - 5*d/4 + 1/2.
-(d - 2)*(d - 1)**2/4
Factor 153*l**2 - 6*l.
3*l*(51*l - 2)
Determine j so that -j**2/2 - 40*j - 800 = 0.
-40
Factor 2*i**2/9 - 26*i/9.
2*i*(i - 13)/9
Suppose -2*f**3/17 - 40*f**2/17 + 94*f/17 + 132/17 = 0. Calculate f.
-22, -1, 3
Solve 5*r**3 - 125*r**2 + 435*r - 315 = 0.
1, 3, 21
Factor -3*t**3 + 198*t**2 - 2835*t + 11664.
-3*(t - 48)*(t - 9)**2
Factor -3*z**3 - 36*z**2 + 729*z - 690.
-3*(z - 10)*(z - 1)*(z + 23)
Determine s, given that -5*s**4 - 45*s**3 - 100*s**2 - 60*s = 0.
-6, -2, -1, 0
Factor -n**5 - 5*n**4 - 2*n**3 + 8*n**2.
-n**2*(n - 1)*(n + 2)*(n + 4)
Solve -o**5/8 - 25*o**4/8 - 107*o**3/8 - 143*o**2/8 - 15*o/2 = 0 for o.
-20, -3, -1, 0
Factor -3*u**2 + 195*u - 192.
-3*(u - 64)*(u - 1)
Factor a**5/7 - 2*a**4/7 - 55*a**3/7 - 88*a**2/7 + 144*a/7.
a*(a - 9)*(a - 1)*(a + 4)**2/7
Let 4*s**2/7 + 40*s/7 - 44/7 = 0. What is s?
-11, 1
Solve s**3/5 + 276*s**2/5 + 19317*s/5 + 37538/5 = 0 for s.
-137, -2
Determine p so that -3*p**5 - 24*p**4 + 147*p**3 - 12*p**2 - 540*p + 432 = 0.
-12, -2, 1, 2, 3
Factor -3*x**3 - 3*x**2 + 27*x + 27.
-3*(x - 3)*(x + 1)*(x + 3)
Factor 4*v**3 - 140*v**2 - 608*v - 624.
4*(v - 39)*(v + 2)**2
Determine q, given that 3*q**5/7 + 702*q**4 + 2022075*q**3/7 + 8009868*q**2/7 = 0.
-817, -4, 0
What is l in -4*l**4 + 20*l**3 - 28*l**2 + 12*l = 0?
0, 1, 3
Factor -2*s**5/15 + 26*s**4/3 - 84*s**3/5.
-2*s**3*(s - 63)*(s - 2)/15
Solve -5*c**4/2 - 105*c**3/2 - 185*c**2/2 + 105*c/2 + 95 = 0 for c.
-19, -2, -1, 1
Solve -h**3/9 + 14*h**2/9 - 41*h/9 - 56/9 = 0 for h.
-1, 7, 8
Find l, given that 2*l**3/3 + 98*l**2/3 + 368*l/3 + 120 = 0.
-45, -2
Factor -2*l**2 - 362*l - 360.
-2*(l + 1)*(l + 180)
Factor g**2/2 + 342*g + 58482.
(g + 342)**2/2
Find m, given that -8*m**5 + 994*m**4 - 28946*m**3 - 120576*m**2 - 73728*m = 0.
-3, -3/4, 0, 64
Solve 3*q**5 - 3*q**4 - 36*q**3 - 12*q**2 + 48*q = 0.
-2, 0, 1, 4
Factor 6*r**3 + 8*r**2 + 8*r/3.
2*r*(3*r + 2)**2/3
Factor 5*y**5 - 10*y**4 + 10*y**2 - 5*y.
5*y*(y - 1)**3*(y + 1)
Solve 121*s**5/5 + 154*s**4 + 344*s**3 + 304*s**2 + 80*s + 32/5 = 0.
-2, -2/11
Factor w**3/4 + w**2/4 - 2*w - 3.
(w - 3)*(w + 2)**2/4
Let -4*i**2/3 - 29896*i/3 - 55860676/3 = 0. What is i?
-3737
Find a, given that -3*a**3/8 - 21*a**2/8 + 51*a/8 - 27/8 = 0.
-9, 1
What is s in 30*s**5/11 + 14*s**4 + 230*s**3/11 + 118*s**2/11 + 12*s/11 = 0?
-3, -1, -2/15, 0
Factor 2*h**4/7 + 2*h**3/7.
2*h**3*(h + 1)/7
Factor r**5 + 4*r**4 - r**3 - 4*r**2.
r**2*(r - 1)*(r + 1)*(r + 4)
Factor -32*b**5/5 + 26*b**4/5 + 6*b**3/5.
-2*b**3*(b - 1)*(16*b + 3)/5
Factor r**2 - 22*r + 117.
(r - 13)*(r - 9)
Let -2*i**3 + 6320*i**2 - 6318*i = 0. What is i?
0, 1, 3159
Suppose 5*i**2 - 70*i - 255 = 0. Calculate i.
-3, 17
Factor z**5/2 - 51*z**4/2 + 25*z**3.
z**3*(z - 50)*(z - 1)/2
Determine z so that 12*z**4 + 7*z**3 - 43*z**2/2 - 21*z - 9/2 = 0.
-1, -3/4, -1/3, 3/2
Factor 6*w**4 - 26*w**3 + 42*w**2 - 30*w + 8.
2*(w - 1)**3*(3*w - 4)
Factor m**2/5 + 14*m/5 - 176/5.
(m - 8)*(m + 22)/5
Factor 2*v**2/17 - 248*v/17 + 7688/17.
2*(v - 62)**2/17
Factor p**3/3 + 7*p**2/3 - 28*p/3 + 20/3.
(p - 2)*(p - 1)*(p + 10)/3
What is q in 2*q**3/11 + 34*q**2/11 + 160*q/11 + 128/11 = 0?
-8, -1
Find l, given that l**3/4 - 3825*l**2/2 + 4876875*l - 4145343750 = 0.
2550
Factor 2*w**3/9 + 10*w**2/9 - 4*w/3.
2*w*(w - 1)*(w + 6)/9
Factor -4*d**3/5 - 132*d**2/5 - 1152*d/5 - 1024/5.
-4*(d + 1)*(d + 16)**2/5
Determine a, given that 2*a**2 + 1108*a + 2208 = 0.
-552, -2
Let -4*b**3 - 968*b**2 - 58564*b = 0. What is b?
-121, 0
Solve 2*z**3/5 + 474*z**2/5 + 5664*z + 27848/5 = 0 for z.
-118, -1
Solve -5*r**5 + 450*r**4 - 10120*r**3 - 450*r**2 + 10125*r = 0 for r.
-1, 0, 1, 45
Factor x**4 + 5*x**3 - 21*x**2 + 23*x - 8.
(x - 1)**3*(x + 8)
Suppose -5*s**4 - 55*s**3 - 120*s**2 + 180*s = 0. What is s?
-6, 0, 1
Factor 36*n**3 - 312*n**2 + 640*n - 384.
4*(n - 6)*(3*n - 4)**2
Determine q so that 4*q**2 + 24*q - 64 = 0.
-8, 2
Suppose 4*f**3 - 48*f**2 + 156*f - 112 = 0. Calculate f.
1, 4, 7
Suppose -20*u**4 - 57*u**3 - 29*u**2 + 12*u + 4 = 0. Calculate u.
-2, -1, -1/4, 2/5
Solve 170*b**4 + 404*b**3 + 134*b**2 + 12*b = 0 for b.
-2, -1/5, -3/17, 0
Determine g, given that -6*g**5/5 + 39*g**4/5 - 9*g**3 - 3*g**2/5 + 3*g = 0.
-1/2, 0, 1, 5
Find l such that -4*l**2/9 - 4*l - 32/9 = 0.
-8, -1
Let -5*o**4 + 45*o**3 + 5*o**2 - 45*o = 0. What is o?
-1, 0, 1, 9
Factor 2*w**4 + 1290*w**3 + 277350*w**2 + 19876750*w.
2*w*(w + 215)**3
Factor 2*d**3 - 68*d**2 + 130*d - 64.
2*(d - 32)*(d - 1)**2
Factor -63*k**2/2 - 6*k.
-3*k*(21*k + 4)/2
Factor m**4 - 199*m**3 + 9384*m**2 + 52020*m.
m*(m - 102)**2*(m + 5)
Let 2*j**5/13 + 4*j**4/13 - 22*j**3/13 - 16*j**2/13 + 40*j/13 + 32/13 = 0. Calculate j.
-4, -1, 2
What is r in 5*r**5 - 30*r**3 + 40*r**2 - 15*r = 0?
-3, 0, 1
Solve f**2/5 + 81*f/5 = 0 for f.
-81, 0
Suppose h**5 - 47*h**4 + 619*h**3 - 1585*h**2 + 1496*h - 484 = 0. Calculate h.
1, 22
Factor -b**4/7 - 13*b**3/7 - 62*b**2/7 - 128*b/7 - 96/7.
-(b + 2)*(b + 3)*(b + 4)**2/7
Find v, given that 2*v**3/5 - 2*v**2 - 2*v/5 + 2 = 0.
-1, 1, 5
Factor 12*v**4 - 176*v**3 + 264*v**2 + 3024*v + 972.
4*(v - 9)**2*(v + 3)*(3*v + 1)
Factor 2*o**2/3 - 10*o/3 - 4.
2*(o - 6)*(o + 1)/3
Factor z**3/2 - 19*z**2/2 - 265*z/2 - 725/2.
(z - 29)*(z + 5)**2/2
Factor 2*a**4/3 - 88*a**3/3 + 328*a**2/3 - 320*a/3.
2*a*(a - 40)*(a - 2)**2/3
Let 15*p**3 - 516*p**2 + 4992*p - 9216 = 0. What is p?
12/5, 16
Factor a**2/3 - 275*a/3 - 554/3.
(a - 277)*(a + 2)/3
Factor -5*g**4 - 1460*g**3 - 142590*g**2 - 4704500*g - 4563365.
-5*(g + 1)*(g + 97)**3
Let x**2/6 + 760*x/3 = 0. What is x?
-1520, 0
Factor -l**3/2 - l**2 + 121*l/2 + 121.
-(l - 11)*(l + 2)*(l + 11)/2
Let 3*i**2 + 1779*i - 1782 = 0. What is i?
-594, 1
What is q in 2*q**3/9 + 44*q**2 + 2904*q + 63888 = 0?
-66
Solve -6*k**5 - 16*k**4 + 118*k**3/3 + 92*k**2/3 + 16*k/3 = 0 for k.
-4, -1/3, 0, 2
What is x in -2*x**4 - 68*x**3 + 144*x**2 = 0?
-36, 0, 2
Factor 2*s**3/3 + 5164*s**2/3.
2*s**2*(s + 2582)/3
Solve -64*w**4/5 - 1504*w**3/5 - 9892*w**2/5 - 12408*w/5 - 4356/5 = 0 for w.
-11, -3/4
Let 2*q**3 - 8*q**2 - 10*q = 0. What is q?
-1, 0, 5
Factor -2*q**4/5 + 18*q**3/5 - 6*q**2 + 14*q/5.
-2*q*(q - 7)*(q - 1)**2/5
Factor g**3/7 - g**2/7 - 6*g/7.
g*(g - 3)*(g + 2)/7
Let v**3/8 - 41*v**2/8 = 0. What is v?
0, 41
Factor -2*n**4 - 134*n**3 - 2176*n**2 + 2312*n.
-2*n*(n - 1)*(n + 34)**2
Factor 2*d**4 - 40*d**3 + 194*d**2 - 156*d.
2*d*(d - 13)*(d - 6)*(d - 1)
Solve 2*v**3/7 + 4*v**2/7 - 40*v/7 + 48/7 = 0.
-6, 2
Let -6*h**4/5 + 322*h**3 + 1082*h**2/5 - 322*h - 1076/5 = 0. Calculate h.
-1, -2/3, 1, 269
Factor x**5/3 - 53*x**4/3 + 1123*x**3/3 - 11891*x**2/3 + 62920*x/3 - 133100/3.
(x - 11)**3*(x - 10)**2/3
Suppose -2*w**4/7 + 20*w**3/7 - 72*w**2/7 + 108*w/7 - 54/7 = 0. What is w?
1, 3
Determine y so that 5*y**3/7 - 88*y**2/7 + 369*y/7 + 162/7 = 0.
-2/5, 9
Factor -3*v**2 + 18*v - 24.
-3*(v - 4)*(v - 2)
Factor -k**2/5 - 4226*k/5 - 4464769/5.
-(k + 2113)**2/5
Find s, given that -2*s**5 + 12*s**4 - 4*s**3 - 32*s**2 + 6*s + 20 = 0.
-1, 1, 2, 5
Factor 2*x**3 - 44*x**2 + 130*x + 1352.
2*(x - 13)**2*(x + 4)
Factor x**2 - 1141*x - 1142.
(x - 1142)*(x + 1)
Suppose -n**2/6 + 2*n/3 = 0. Calculate n.
0, 4
Let 12*z**4 + 3*z**3 - 30*z**2 - 21*z = 0. Calculate z.
-1, 0, 7/4
Determine k, given that -2*k**5/11 - 20*k**4/11 - 46*k**3/11 - 28*k**2/11 = 0.
-7, -2, -1, 0
Find h such that