a**2 + 29*a/4 + 1/2 = 0.
-2/33, 1
Determine o so that -2*o**4 - 272*o**3 - 780*o**2 + 2448*o + 7182 = 0.
-133, -3, 3
Factor -4*a**2 - 20*a + 144.
-4*(a - 4)*(a + 9)
Let -4*d**2 + 2752*d + 2756 = 0. Calculate d.
-1, 689
Let o**3/4 + 9*o**2/2 - 19*o/4 = 0. What is o?
-19, 0, 1
Factor -2*x**3/3 - 6*x**2 + 308*x/3 - 96.
-2*(x - 8)*(x - 1)*(x + 18)/3
Solve 2*s**4 + 14*s**3 - 26*s**2 - 86*s - 48 = 0 for s.
-8, -1, 3
Determine s so that 2*s**3/9 - 2*s**2 - 170*s/9 - 50/3 = 0.
-5, -1, 15
Factor 2*t**3/11 - 102*t**2/11.
2*t**2*(t - 51)/11
Suppose -2*q**3/5 - 68*q**2/5 - 122*q/5 + 192/5 = 0. Calculate q.
-32, -3, 1
Find p, given that 3*p**2/8 + 3*p + 9/2 = 0.
-6, -2
Find x, given that 5*x**5 + 35*x**4 + 30*x**3 = 0.
-6, -1, 0
Factor -7*t**3 - 20*t**2 + 93*t + 90.
-(t - 3)*(t + 5)*(7*t + 6)
Factor -3*c**3/2 + 399*c**2 - 795*c/2.
-3*c*(c - 265)*(c - 1)/2
Find z, given that -2*z**3/7 - 4*z**2/7 - 2*z/7 = 0.
-1, 0
Suppose -w**2 - 58*w - 841 = 0. What is w?
-29
Suppose -28*l**5 + 4*l**4 + 84*l**3 + 44*l**2 - 8*l = 0. Calculate l.
-1, 0, 1/7, 2
Let -507*a**3 - 19292*a**2 - 2965*a/3 - 38/3 = 0. Calculate a.
-38, -1/39
Solve -v**2/4 - 5*v - 21 = 0 for v.
-14, -6
Factor l**4/2 + 15*l**3/2 + 19*l**2 + 12*l.
l*(l + 1)*(l + 2)*(l + 12)/2
Solve 4*z**5 + 44*z**4 + 108*z**3 - 140*z**2 - 448*z - 240 = 0.
-6, -5, -1, 2
Factor 2*c**3 + 606*c**2 + 61206*c + 2060602.
2*(c + 101)**3
Suppose -4*r**3 + 20*r**2 + 408*r - 864 = 0. Calculate r.
-9, 2, 12
Solve -5*v**5 + 15*v**4 + 40*v**3 - 60*v**2 - 80*v = 0 for v.
-2, -1, 0, 2, 4
Let -k**4/9 - 4*k**3/9 + 13*k**2/9 + 4*k/9 - 4/3 = 0. What is k?
-6, -1, 1, 2
Find h such that -5*h**2 + 65*h + 70 = 0.
-1, 14
Factor 4*t**2 - 38040*t + 90440100.
4*(t - 4755)**2
Factor -n**5 - 21*n**4 + 201*n**3 + 65*n**2 - 2100*n.
-n*(n - 5)**2*(n + 3)*(n + 28)
Factor o**2 + 17*o + 30.
(o + 2)*(o + 15)
Factor -b**4/6 + b**3/6 + b**2/2 - b/6 - 1/3.
-(b - 2)*(b - 1)*(b + 1)**2/6
Suppose -i**4 - 12*i**3 - 45*i**2 - 54*i = 0. What is i?
-6, -3, 0
Factor 117*m**2 - 2931*m + 150.
3*(m - 25)*(39*m - 2)
What is b in 2*b**3/3 + 14*b**2/3 - 50*b/3 - 350/3 = 0?
-7, -5, 5
Factor 2*p**3 + 110*p**2 + 1456*p - 1568.
2*(p - 1)*(p + 28)**2
Suppose -6*i**4 + 285*i**3 - 3309*i**2 - 1872*i + 1728 = 0. What is i?
-1, 1/2, 24
Solve 2*o**4/5 + 26*o**3/5 + 64*o**2/5 + 8*o = 0.
-10, -2, -1, 0
Solve 2*y**5/13 + 64*y**4/13 - 6*y**3/13 - 188*y**2/13 + 128*y/13 = 0.
-32, -2, 0, 1
Factor -62*p**3 + 376*p**2 - 582*p + 36.
-2*(p - 3)**2*(31*p - 2)
Solve -2*j**4 - 24*j**3 - 20*j**2 + 24*j + 22 = 0.
-11, -1, 1
Find u such that -u**4/2 - 216*u**3 - 34992*u**2 - 2519424*u - 68024448 = 0.
-108
Determine s, given that 4*s**5/3 - 96*s**4 - 596*s**3/3 + 96*s**2 + 592*s/3 = 0.
-2, -1, 0, 1, 74
Find y such that y**2/5 + 339*y/5 = 0.
-339, 0
Factor 2*f**4/9 - 320*f**3/9 + 6400*f**2/3 - 512000*f/9 + 5120000/9.
2*(f - 40)**4/9
Suppose -2*u**2/5 - 24*u/5 - 54/5 = 0. Calculate u.
-9, -3
Factor -g**3/5 + 9*g**2/5 - 24*g/5 + 16/5.
-(g - 4)**2*(g - 1)/5
Factor -c**2/10 + 12*c/5 - 63/10.
-(c - 21)*(c - 3)/10
Factor 35*k**3 - 235*k**2 - 1120*k - 300.
5*(k - 10)*(k + 3)*(7*k + 2)
Let q**3/3 - 4*q**2/3 - 44*q/3 + 32 = 0. Calculate q.
-6, 2, 8
Solve -2*r**5/9 + 20*r**4/3 - 296*r**3/9 + 20*r**2 + 298*r/9 - 80/3 = 0.
-1, 1, 5, 24
Factor 2*z**5/3 - 4*z**4/3 - 16*z**3/3 - 4*z**2/3 + 14*z/3 + 8/3.
2*(z - 4)*(z - 1)*(z + 1)**3/3
Factor -2*v**2 - 90*v - 328.
-2*(v + 4)*(v + 41)
Suppose -6*t**5 + 28*t**4 + 634*t**3 + 208*t**2 = 0. Calculate t.
-8, -1/3, 0, 13
Let -5*o**4 + 16*o**3 - 13*o**2 + 2*o = 0. Calculate o.
0, 1/5, 1, 2
Factor 2*f**4/7 + 22*f**3/7 - 2*f**2/7 - 22*f/7.
2*f*(f - 1)*(f + 1)*(f + 11)/7
What is y in 68*y**2 - 20*y - 48 = 0?
-12/17, 1
Factor 2*m**5 + 14*m**4 + 34*m**3 + 34*m**2 + 12*m.
2*m*(m + 1)**2*(m + 2)*(m + 3)
Find f such that 20*f**5/9 + 34*f**4/3 - 34*f**3/9 - 26*f**2 - 58*f/9 + 20/3 = 0.
-5, -1, 2/5, 3/2
Let 2*h**3/9 - 22*h**2/9 - 1040*h/9 - 6200/9 = 0. What is h?
-10, 31
Let -40500*q**5 - 124200*q**4 - 89160*q**3 - 50224*q**2/9 - 364*q/3 - 8/9 = 0. Calculate q.
-2, -1, -1/45
Let 16*l**4/11 - 58*l**3/11 - 200*l**2/11 - 162*l/11 - 36/11 = 0. Calculate l.
-1, -3/8, 6
Find l, given that 2*l**2 + 76*l + 74 = 0.
-37, -1
What is p in 14*p**4/11 + 234*p**3/11 - 1930*p**2/11 + 2142*p/11 - 460/11 = 0?
-23, 2/7, 1, 5
Let 9*a**4/7 - 33*a**3/7 - 75*a**2/7 + 69*a/7 + 30/7 = 0. What is a?
-2, -1/3, 1, 5
Factor -115*i**3 + 310*i**2 - 160*i.
-5*i*(i - 2)*(23*i - 16)
What is j in -2*j**5/5 + 24*j**4 + 318*j**3 - 19700*j**2 - 306816*j - 2663424/5 = 0?
-17, -2, 48
Suppose -2*x**2 - 8*x - 8 = 0. Calculate x.
-2
What is l in -30*l**3 + 85*l**2 - 45*l - 10 = 0?
-1/6, 1, 2
Suppose 20*s**2 - 7535*s - 1885 = 0. What is s?
-1/4, 377
Suppose g**5/5 + 6*g**4 - 172*g**3/5 + 22*g**2 + 171*g/5 - 28 = 0. What is g?
-35, -1, 1, 4
Factor 2*x**4/3 - 38*x**3/3 + 70*x**2 - 98*x/3 - 1372/3.
2*(x - 7)**3*(x + 2)/3
Factor 4*s**3/7 - 38*s**2/7 + 80*s/7 + 50/7.
2*(s - 5)**2*(2*s + 1)/7
Factor 2*i**2/15 + 3764*i/15 + 1770962/15.
2*(i + 941)**2/15
What is a in a**4/3 - 304*a**3/3 + 23104*a**2/3 = 0?
0, 152
Let -2*u**2/15 + 176*u/5 - 526/15 = 0. Calculate u.
1, 263
Factor 4*h**2/7 + 48*h/7 + 108/7.
4*(h + 3)*(h + 9)/7
Factor r**2/2 + 84*r + 3528.
(r + 84)**2/2
Find i, given that -2*i**3 + 72*i**2/19 - 30*i/19 - 4/19 = 0.
-2/19, 1
Suppose -4*h**5 + 52*h**4 - 188*h**3 + 236*h**2 - 96*h = 0. What is h?
0, 1, 3, 8
Let 3*v**2/2 + 15*v/2 + 9 = 0. What is v?
-3, -2
Factor -3*f**4/2 - 6*f**3 + 27*f**2 + 162*f + 405/2.
-3*(f - 5)*(f + 3)**3/2
Let -3*r**3 - 600*r**2 = 0. Calculate r.
-200, 0
Solve 175*f**5 + 155*f**4 - 215*f**3 - 175*f**2 + 40*f + 20 = 0 for f.
-1, -2/7, 2/5, 1
Factor -2*n**2 - 198*n + 1484.
-2*(n - 7)*(n + 106)
Factor -5*k**4 - 40*k**3 + 165*k**2.
-5*k**2*(k - 3)*(k + 11)
Find v such that -3*v**2/4 + 93*v = 0.
0, 124
Determine m, given that -4*m**3 + 8*m**2 + 4*m - 8 = 0.
-1, 1, 2
Solve 5*w**3 + 10*w**2 = 0 for w.
-2, 0
Solve -3*d**4 + 58*d**3 - 71*d**2 - 20*d + 36 = 0 for d.
-2/3, 1, 18
Factor -2*n**2/5 + 2*n + 408/5.
-2*(n - 17)*(n + 12)/5
Factor -5*r**3 + 15*r**2 + 90*r.
-5*r*(r - 6)*(r + 3)
Let 2*f**5/9 - 4*f**4/9 - 10*f**3/9 + 4*f**2/3 = 0. Calculate f.
-2, 0, 1, 3
Factor 2*b**4/3 + 64*b**3/9 + 190*b**2/9 + 100*b/9.
2*b*(b + 5)**2*(3*b + 2)/9
What is c in 12*c**5 + 183*c**4 + 33*c**3 - 183*c**2 - 45*c = 0?
-15, -1, -1/4, 0, 1
Factor -5*g**3 + 40*g**2 - 35*g.
-5*g*(g - 7)*(g - 1)
Solve -4*y**5 - 52*y**4 - 48*y**3 = 0.
-12, -1, 0
Factor -5*m**4 + 100*m**3 + 1230*m**2 + 2140*m + 1015.
-5*(m - 29)*(m + 1)**2*(m + 7)
Suppose 9*m**5 + 51*m**4/2 - 1107*m**3/2 - 951*m**2/2 + 189*m/2 = 0. What is m?
-9, -1, 0, 1/6, 7
Find m such that m**4/3 - 13*m**3 - 15*m**2 + 203*m/3 - 40 = 0.
-3, 1, 40
Solve 2*c**4 + 42*c**3 - 90*c**2 + 46*c = 0 for c.
-23, 0, 1
Let -5*l**2 + 10*l + 40 = 0. What is l?
-2, 4
Let 3*f**4/5 - 3*f**3/5 - 99*f**2/5 - 189*f/5 = 0. Calculate f.
-3, 0, 7
Solve 3*n**3 - 1317*n**2 - 2655*n + 3969 = 0.
-3, 1, 441
Find y such that 5*y**3 + 115*y**2 + 100*y - 220 = 0.
-22, -2, 1
Solve p**3/4 - 67*p**2/4 + 122*p - 236 = 0.
4, 59
Determine w, given that 48*w**5 + 120*w**4 + 27*w**3 - 39*w**2 + 6*w = 0.
-2, -1, 0, 1/4
Factor c**5/3 - 7*c**4 - 15*c**3 - 23*c**2/3.
c**2*(c - 23)*(c + 1)**2/3
Factor 5*i**5 - 70*i**4 - 1035*i**3.
5*i**3*(i - 23)*(i + 9)
Determine n, given that 2*n**5/5 - 58*n**4/5 + 30*n**3 + 178*n**2/5 - 584*n/5 + 312/5 = 0.
-2, 1, 3, 26
Solve -2*m**2/5 + 432*m/5 - 23328/5 = 0 for m.
108
Let -4*q**2 + 68*q + 152 = 0. What is q?
-2, 19
Let 2*y**5/9 - y**4/9 - 245*y**3/9 - 362*y**2/9 - 40*y/3 = 0. What is y?
-10, -1, -1/2, 0, 12
What is a in 2*a**5 - 8*a**3 + 4*a**2 + 6*a - 4 = 0?
-2, -1, 1
What is h in 2*h**4 + 16*h**3 + 12*h**2 - 16*h - 14 = 0?
-7, -1, 1
Find y, given that 5596*y**2 - 5588*y - 8 = 0.
-2/1399, 1
Find o, given that -6*o**2 + 39*o - 18 = 0.
1/2, 6
Factor 3*u**4 - 239*u**3/8 + 295*u**2/4 + 25*u/8.
u*(u - 5)**2*(24*u + 1)/8
Factor -2*l**3/13 - 92*l**2/13 + 2*l/13 + 92/13.
-2*(l - 1)*(l + 1)*(l + 46)/13
Suppose 2*h**3/3 + 2*h**2/3 - 4*h/3 = 0. What is h?
-2, 0, 1
Let 2*j**5/13 - 8*j**4/13 - 4*j**3/13 + 16*j**2/13 + 2*j/13 - 8/13 = 0. What is j?
-1, 1, 4
Factor -2*w**2/5 - 9808*w/5 - 12024608/5.
-2*(w + 2452)**2/5
Determine k so that -3*k**2 + 300*k = 0.
0, 100
Suppose x**4/10 - 7*x**3/5 - 14*