13
Factor -2*l**3 - 108*l**2 - 1848*l - 9680.
-2*(l + 10)*(l + 22)**2
What is r in -28*r**4 + 76*r**3 + 276*r**2 - 684*r - 216 = 0?
-3, -2/7, 3
Factor -4*i**2/5 + 352*i - 3504/5.
-4*(i - 438)*(i - 2)/5
Solve 5*j**5/4 - 6*j**4 - 37*j**3/2 - 7*j**2 + 45*j/4 + 7 = 0.
-1, 4/5, 7
Find x such that -3*x**4/4 + 27*x**3/2 + 117*x**2/4 + 15*x = 0.
-1, 0, 20
Factor 4*t**5/5 - 104*t**4/5 + 1056*t**3/5 - 5184*t**2/5 + 12096*t/5 - 10368/5.
4*(t - 6)**4*(t - 2)/5
Find p such that -2*p**3/9 + 16*p**2/9 - 14*p/3 + 4 = 0.
2, 3
Let -6*s**3 - 25*s**2 - 19*s = 0. Calculate s.
-19/6, -1, 0
Factor -8*d**4 - 44*d**3 - 68*d**2 - 24*d.
-4*d*(d + 2)*(d + 3)*(2*d + 1)
Suppose 2*m**4 + 138*m**3 + 2306*m**2 - 2730*m - 4900 = 0. Calculate m.
-35, -1, 2
Factor 2*h**5 - 12*h**4 - 14*h**3.
2*h**3*(h - 7)*(h + 1)
Determine a, given that -4*a**4 - 24*a**3 + 100*a**2 + 216*a - 576 = 0.
-8, -3, 2, 3
Solve -256*o**5 + 704*o**4 + 188*o**3 - 1012*o**2 - 256*o - 16 = 0.
-1, -1/8, 2
Factor -h**3 + 203*h**2 - 10600*h + 30000.
-(h - 100)**2*(h - 3)
Find g, given that -5*g**3 - 3610*g**2 - 655200*g - 1296000 = 0.
-360, -2
Let -3*w**2/5 + 111*w - 9462/5 = 0. Calculate w.
19, 166
Find u, given that u**3/2 - 7*u**2/2 - 17*u/2 - 9/2 = 0.
-1, 9
Factor 3*t**3 - 414*t**2 - 2565*t - 3888.
3*(t - 144)*(t + 3)**2
Suppose 5*p**3 + 5*p**2 - 5*p - 5 = 0. What is p?
-1, 1
Let -21*u**4 + 7848*u**3 - 13401*u**2 + 3342*u + 2232 = 0. What is u?
-2/7, 1, 372
Solve y**5 + 14*y**4 + 63*y**3 + 86*y**2 - 44*y - 120 = 0.
-6, -5, -2, 1
Suppose -4*f**3 + 260*f**2 - 976*f = 0. What is f?
0, 4, 61
Suppose 6*l**2/5 - 396*l/5 + 6534/5 = 0. What is l?
33
Find x such that -8*x**5/17 + 22*x**4/17 + 6*x**3/17 - 32*x**2/17 - 8*x/17 = 0.
-1, -1/4, 0, 2
Factor -w**3/8 - w**2/4 + w.
-w*(w - 2)*(w + 4)/8
Solve c**5 - 24*c**4 - 26*c**3 + 24*c**2 + 25*c = 0.
-1, 0, 1, 25
Find x, given that 10*x**4 - 65*x**3 + 105*x**2 - 10*x - 40 = 0.
-1/2, 1, 2, 4
Factor -5*z**4 + 10*z**2 - 5.
-5*(z - 1)**2*(z + 1)**2
Determine f so that f**5/3 + 35*f**4/3 + 11*f**3 - 35*f**2/3 - 34*f/3 = 0.
-34, -1, 0, 1
Factor 4*m**4 - 24*m**3 - 44*m**2 + 240*m + 400.
4*(m - 5)**2*(m + 2)**2
Find k, given that -14*k**4 - 396*k**3 - 3304*k**2 - 8976*k - 2304 = 0.
-16, -6, -2/7
What is v in -18*v**4 + 22*v**3 - 4*v**2 = 0?
0, 2/9, 1
Determine p so that -2*p**3/13 - 4506*p**2/13 - 3384006*p/13 - 847129502/13 = 0.
-751
Factor t**2 + 21*t + 80.
(t + 5)*(t + 16)
Let -4*i**3 - 60*i**2 + 136*i = 0. Calculate i.
-17, 0, 2
Factor 5*h**4/3 - 8*h**3/3 - 8*h**2 + 32*h/3 + 16/3.
(h - 2)**2*(h + 2)*(5*h + 2)/3
What is j in -35*j**4 - 465*j**3 - 1670*j**2 - 1560*j - 320 = 0?
-8, -4, -1, -2/7
Let -2*l**2/5 + 74*l/5 + 84 = 0. Calculate l.
-5, 42
Determine y so that -3*y**5/2 + 15*y**4/4 - 3*y**3 + 3*y**2/4 = 0.
0, 1/2, 1
Factor 81*g**3/7 - 234*g**2/7 + 169*g/7.
g*(9*g - 13)**2/7
Suppose -3*g**2/7 - 51*g/7 = 0. What is g?
-17, 0
Factor 3*v**2/2 + 4533*v + 6849363/2.
3*(v + 1511)**2/2
Determine a, given that -a**5 - 43*a**4 + 153*a**3 + 707*a**2 + 788*a + 276 = 0.
-46, -1, 6
Suppose -2*q**3/11 + 202*q**2/11 = 0. Calculate q.
0, 101
Find j, given that -j**4 - 5*j**3 + 8*j**2 + 12*j = 0.
-6, -1, 0, 2
Factor -3*s**3/8 + 15*s**2/8.
-3*s**2*(s - 5)/8
Suppose 2*p**4/9 - 8*p**3/3 - 98*p**2/9 + 40*p/3 = 0. Calculate p.
-4, 0, 1, 15
Factor 6*h**3 + 81*h**2 + 102*h - 72.
3*(h + 2)*(h + 12)*(2*h - 1)
Let t**2/3 - 17*t - 180 = 0. Calculate t.
-9, 60
Factor 5*q**2 + 1630*q.
5*q*(q + 326)
Suppose 2*n**3/15 - 378*n**2/5 + 71442*n/5 - 4500846/5 = 0. What is n?
189
Factor 4*o**3/7 - 32*o**2/7 + 12*o - 72/7.
4*(o - 3)**2*(o - 2)/7
Let 4*d**4 - 56*d**3 + 32*d**2 + 248*d + 156 = 0. Calculate d.
-1, 3, 13
Solve x**4/4 - 2*x**3 + 21*x**2/4 - 9*x/2 = 0 for x.
0, 2, 3
Solve c**4 + 24*c**3 + 118*c**2 - 312*c + 169 = 0 for c.
-13, 1
Find y, given that 5*y**2 - 820*y - 825 = 0.
-1, 165
Factor 5*c**2 + 330*c + 640.
5*(c + 2)*(c + 64)
Factor u**3/4 - 5*u**2/4 - u + 5.
(u - 5)*(u - 2)*(u + 2)/4
Let -32*r**5/11 + 176*r**4 - 32066*r**3/11 + 84902*r**2/11 - 81190*r/11 + 26450/11 = 0. What is r?
1, 115/4
Find n such that 2*n**2/3 + 4*n - 14/3 = 0.
-7, 1
Find w, given that -w**2/5 + 8*w/5 + 4 = 0.
-2, 10
Suppose -z**3/4 - 11*z**2/4 - 19*z/4 - 9/4 = 0. Calculate z.
-9, -1
Suppose -12*p**3/11 - 2*p**2/11 + 152*p/11 - 200/11 = 0. What is p?
-25/6, 2
Factor 4*u**3/3 + 124*u**2/3 - 2464*u/3 - 78400/3.
4*(u - 25)*(u + 28)**2/3
Determine n so that -5*n**2 - 1160*n - 1155 = 0.
-231, -1
Suppose -33*a**5 - 39*a**4 + 159*a**3 - 69*a**2 - 18*a = 0. What is a?
-3, -2/11, 0, 1
Factor 3*o**2/4 - 33*o/4 + 27/2.
3*(o - 9)*(o - 2)/4
What is q in 2*q**4/11 + 8*q**3/11 - 32*q**2/11 - 32*q/11 + 96/11 = 0?
-6, -2, 2
Factor -2*r**2/5 + 44*r/15 - 14/3.
-2*(r - 5)*(3*r - 7)/15
Factor -q**3/6 + 50*q**2/3 + 203*q/6 + 17.
-(q - 102)*(q + 1)**2/6
Determine i, given that -3*i**3 - 27*i**2 + 30*i = 0.
-10, 0, 1
Factor 5*z**2 - 570*z + 5200.
5*(z - 104)*(z - 10)
Solve 6*z**2 + 292*z - 400 = 0 for z.
-50, 4/3
What is n in -n**3/9 - 11*n**2/9 - 40*n/9 - 16/3 = 0?
-4, -3
Factor -j**2/3 - 1490*j - 1665075.
-(j + 2235)**2/3
Factor -5*t**5 + 40*t**4 - 60*t**3 - 10*t**2 + 65*t - 30.
-5*(t - 6)*(t - 1)**3*(t + 1)
Factor 26*j**4/11 - 60*j**3/11 + 42*j**2/11 - 8*j/11.
2*j*(j - 1)**2*(13*j - 4)/11
Factor -3*m**2 - 291*m/5 - 114/5.
-3*(m + 19)*(5*m + 2)/5
Factor -x**3 - 55*x**2 - 336*x.
-x*(x + 7)*(x + 48)
Find s, given that -4*s**4 + 332*s**3 - 6364*s**2 - 22188*s = 0.
-3, 0, 43
Let -4*y**5/5 - 36*y**4/5 + 344*y**3/5 - 264*y**2/5 - 68*y + 60 = 0. Calculate y.
-15, -1, 1, 5
Factor -3*s**4 + 66*s**3 - 387*s**2 + 324*s.
-3*s*(s - 12)*(s - 9)*(s - 1)
Suppose 2*c**2/3 - 406*c/3 - 136 = 0. Calculate c.
-1, 204
Suppose -3*s**4 + 30*s**3 + 501*s**2 + 1872*s + 2160 = 0. What is s?
-4, -3, 20
Suppose 3*q**4/7 + 6*q**3/7 + 3*q**2/7 = 0. Calculate q.
-1, 0
Solve -2*g**5 + 6*g**4 - 6*g**3 + 2*g**2 = 0 for g.
0, 1
Find b such that 39*b**3/4 + 45*b**2/2 - 3*b/4 - 27/2 = 0.
-2, -1, 9/13
Find p, given that p**2/3 - 116*p + 10092 = 0.
174
Solve 63*v**3/2 - 1191*v**2/2 - 57*v = 0 for v.
-2/21, 0, 19
Find b, given that 5*b**5 + 23*b**4 - 25*b**3 - 79*b**2 - 16*b + 20 = 0.
-5, -1, 2/5, 2
Suppose -2*i**2 - 1048*i + 2104 = 0. Calculate i.
-526, 2
Solve -f**4/3 + 2*f**3/3 + 9*f**2 + 52*f/3 + 28/3 = 0 for f.
-2, -1, 7
Factor -4*x**2/3 - 151*x/3 + 38/3.
-(x + 38)*(4*x - 1)/3
Factor -d**3/6 - 19*d**2/6 + 32*d/3 - 22/3.
-(d - 2)*(d - 1)*(d + 22)/6
Find l such that -6*l**5/11 + 262*l**4/11 + 3508*l**3/11 + 1140*l**2 + 12050*l/11 + 250 = 0.
-5, -1, -1/3, 55
Let 6*x**2 - 585*x/2 - 1377/2 = 0. What is x?
-9/4, 51
Factor -i**3/2 - 103*i**2/2 - 2491*i/2 + 8427/2.
-(i - 3)*(i + 53)**2/2
Suppose 4*g**4 + 164*g**3 + 1016*g**2 + 2224*g + 1632 = 0. Calculate g.
-34, -3, -2
Solve -35*a**4 - 15*a**3 + 20*a**2 = 0 for a.
-1, 0, 4/7
What is a in a**2 + 730*a - 731 = 0?
-731, 1
Let 2*x**2/17 - 36*x/17 = 0. Calculate x.
0, 18
Determine p so that -4*p**5 - 32*p**4 - 84*p**3 - 88*p**2 - 32*p = 0.
-4, -2, -1, 0
Find o such that -14*o**2 + 80*o/3 + 8/3 = 0.
-2/21, 2
Suppose 9*h**4/2 + 48*h**3 + 285*h**2/2 + 75*h = 0. Calculate h.
-5, -2/3, 0
Let 3*z**2/4 - 9*z/4 - 15/2 = 0. What is z?
-2, 5
Determine r so that r**5/3 - r**4 + r**3/3 + r**2 - 2*r/3 = 0.
-1, 0, 1, 2
Determine w so that 3*w**3 + 39*w**2 - 192*w + 204 = 0.
-17, 2
Suppose 2*c**4/5 + 56*c**3 + 10076*c**2/5 + 3864*c + 9522/5 = 0. Calculate c.
-69, -1
Solve 7*n**4/9 + 94*n**3/3 + 80*n**2/9 = 0.
-40, -2/7, 0
Factor 2*f**2/7 - 258*f/7.
2*f*(f - 129)/7
Factor -l**4 - 10*l**3 - 24*l**2 + 10*l + 25.
-(l - 1)*(l + 1)*(l + 5)**2
Factor -20*m**3 + 1415*m**2 + 7955*m + 1900.
-5*(m - 76)*(m + 5)*(4*m + 1)
What is b in b**5 - 13*b**4/4 - 33*b**3/4 - 11*b**2/4 + 5*b/4 = 0?
-1, 0, 1/4, 5
Let -5*v**3 - 45*v**2 + 450*v = 0. Calculate v.
-15, 0, 6
Solve 5*w**3 = 0.
0
Factor -15*p**4 - 4430*p**3 - 1475*p**2.
-5*p**2*(p + 295)*(3*p + 1)
Factor -5*m**3 + 60*m**2 - 45*m - 110.
-5*(m - 11)*(m - 2)*(m + 1)
Factor 5*n**2 - 61710*n + 190406205.
5*(n - 6171)**2
Factor 20*f**5 + 425*f**4 + 105*f**3.
5*f**3*(f + 21)*(4*f + 1)
What is i in 2*i**2/3 + 22*i/3 - 8 = 0?
-12, 1
Factor o**4/4 - 9*o**3/2 - 33*o**2 - 70*o - 48.
(o - 24)*(o + 2)**3/4
Factor -2*v**2/5 - 188*v/5 - 3066/5.
-2*(v + 21)*(v + 73)/5
What is a in 4*a**3/7 + 12*a**2/7 - 88*a = 0?
-14, 0, 11
Factor -a*