, 10
Solve -k**2/6 + 7*k/3 + 5/2 = 0.
-1, 15
Determine f so that f**3 + 2205*f**2 - 4413*f + 2207 = 0.
-2207, 1
Find m, given that 2*m**2/3 + 56*m/3 = 0.
-28, 0
Find x such that x**5 - 24*x**4 - 114*x**3 + 44*x**2 + 345*x - 252 = 0.
-3, 1, 28
Suppose 2*c**4/9 + 284*c**3/3 + 1694*c**2/9 - 284*c/3 - 1696/9 = 0. Calculate c.
-424, -2, -1, 1
Let -2*t**4/7 - 46*t**3/7 + 48*t**2/7 = 0. Calculate t.
-24, 0, 1
Solve 4*o**5/3 + 20*o**4/3 - 8*o**3/3 - 56*o**2 - 84*o - 36 = 0.
-3, -1, 3
Factor -3*n**3 - 1281*n**2 - 136104*n + 137388.
-3*(n - 1)*(n + 214)**2
Factor -2*a**2/5 - 398*a/5.
-2*a*(a + 199)/5
Determine x, given that 2*x**4/11 - 20*x**3/11 + 54*x**2/11 - 36*x/11 = 0.
0, 1, 3, 6
Solve 4*u**3 - 380*u**2 - 4*u + 380 = 0 for u.
-1, 1, 95
Find o such that -o**4/3 - 88*o**3/3 - 797*o**2/3 - 1334*o/3 - 208 = 0.
-78, -8, -1
Factor 3*s**3/5 - 51*s**2/5 + 42*s/5 + 96/5.
3*(s - 16)*(s - 2)*(s + 1)/5
Factor -c**3/4 - c**2/4 + c/2.
-c*(c - 1)*(c + 2)/4
Determine v, given that -33*v**5/8 - 237*v**4/8 - 30*v**3 - 9*v**2/2 = 0.
-6, -1, -2/11, 0
Factor -4*b**5 - 64*b**4 - 256*b**3 - 424*b**2 - 316*b - 88.
-4*(b + 1)**3*(b + 2)*(b + 11)
Determine r so that 2*r**2/9 + 536*r/3 - 1610/9 = 0.
-805, 1
Let -2738*g**5/7 + 370*g**4 + 412*g**3 - 2588*g**2/7 - 146*g/7 - 2/7 = 0. Calculate g.
-1, -1/37, 1
What is o in -o**3/5 + 128*o**2/5 - 1856*o/5 + 7168/5 = 0?
8, 112
Determine d, given that -5*d**5 + 5*d**4 + 45*d**3 + 55*d**2 + 20*d = 0.
-1, 0, 4
What is a in -4*a**3/9 - 3892*a**2/9 - 7772*a/9 - 3884/9 = 0?
-971, -1
Find l such that l**2/8 + 327*l/2 = 0.
-1308, 0
Find n such that n**2/8 - n/2 + 3/8 = 0.
1, 3
Find n such that 2*n**4/11 - 38*n**2/11 + 12*n/11 + 144/11 = 0.
-4, -2, 3
Suppose -4*z**5 + 96*z**4 - 88*z**3 - 96*z**2 + 92*z = 0. Calculate z.
-1, 0, 1, 23
Factor -2*t**5/15 - 14*t**4/3 - 52*t**3/3 - 76*t**2/3 - 50*t/3 - 62/15.
-2*(t + 1)**4*(t + 31)/15
Let 2*q**5/3 - 14*q**4/3 + 34*q**3/3 - 34*q**2/3 + 4*q = 0. What is q?
0, 1, 2, 3
Determine f, given that 14*f**4/11 + 60*f**3/11 + 58*f**2/11 + 12*f/11 = 0.
-3, -1, -2/7, 0
Suppose 35*u**4 - 375*u**3 + 170*u**2 + 780*u + 200 = 0. What is u?
-1, -2/7, 2, 10
Factor -p**2/3 - 479*p - 2870/3.
-(p + 2)*(p + 1435)/3
Factor -w**3/2 + 297*w**2/2 - 148*w.
-w*(w - 296)*(w - 1)/2
Determine d so that -d**5/4 - 113*d**4/4 - 1567*d**3/2 + 1681*d**2/2 + 3135*d/4 - 3249/4 = 0.
-57, -1, 1
Suppose 3*k**5/4 - 51*k**4 + 639*k**3 + 7752*k**2 + 17328*k = 0. What is k?
-4, 0, 38
Factor 8*h**3/9 + 26*h**2/9 + 8*h/9 - 8/3.
2*(h + 2)**2*(4*h - 3)/9
Solve 7*n**3/4 - 9*n**2/4 - 3*n + 1 = 0.
-1, 2/7, 2
Solve -4*i**5/21 + 22*i**4/21 + 8*i**3/3 - 218*i**2/21 - 520*i/21 - 200/21 = 0.
-2, -1/2, 5
Factor 4*y**2 + 6296*y + 6292.
4*(y + 1)*(y + 1573)
Let -4*r**4 - 104*r**3 - 96*r**2 + 104*r + 100 = 0. Calculate r.
-25, -1, 1
Determine a so that 4*a**5/5 + 236*a**4/5 - 48*a**3 = 0.
-60, 0, 1
Determine r so that 3*r**3/4 - 3*r**2/4 - 3*r/2 = 0.
-1, 0, 2
Find w such that -8*w**3/7 + 34*w**2/7 - 8*w/7 = 0.
0, 1/4, 4
Factor -5*m**3 + 5*m**2.
-5*m**2*(m - 1)
Find x, given that -3*x**2/7 - 3462*x/7 = 0.
-1154, 0
Suppose -2*j**3/3 - 4*j**2 - 2*j + 20/3 = 0. What is j?
-5, -2, 1
What is i in 2*i**3/9 - 4*i**2/3 - 14*i/9 = 0?
-1, 0, 7
Determine w, given that 24*w**5 - 46*w**4 - 312*w**3 - 278*w**2 - 60*w = 0.
-2, -3/4, -1/3, 0, 5
Factor -o**3 - 18*o**2 - 81*o.
-o*(o + 9)**2
Suppose 4*m**4 - 4*m**3 - 20*m**2 - 12*m = 0. Calculate m.
-1, 0, 3
Suppose h**5/3 + 49*h**4/3 - 157*h**3/3 - 49*h**2/3 + 52*h = 0. What is h?
-52, -1, 0, 1, 3
Factor -8691*w**2/7 + 8703*w/7 - 12/7.
-3*(w - 1)*(2897*w - 4)/7
Suppose -t**3 + 90*t**2 - 89*t = 0. What is t?
0, 1, 89
Let 8*m**5 + 31*m**4 + 12*m**3 - 34*m**2 - 20*m + 3 = 0. What is m?
-3, -1, 1/8, 1
Factor 15*h**2/2 + 9*h.
3*h*(5*h + 6)/2
Find z such that -15*z**4/4 + 935*z**3/4 - 7785*z**2/2 + 7425*z + 6750 = 0.
-2/3, 3, 30
Factor 2*z**3/5 + 14*z**2/5 - 2*z/5 - 14/5.
2*(z - 1)*(z + 1)*(z + 7)/5
Solve 2*h**2/5 + 5306*h/5 - 2124 = 0.
-2655, 2
Suppose 3*m**4/2 - 42*m**3 + 465*m**2/2 - 228*m - 504 = 0. Calculate m.
-1, 4, 21
Factor -3*t**4 + 195*t**3 - 486*t**2 - 4380*t - 5208.
-3*(t - 62)*(t - 7)*(t + 2)**2
Factor 3*j**3/2 - 9*j**2/2 + 6.
3*(j - 2)**2*(j + 1)/2
Factor 2*m**3/11 - 2710*m**2/11 + 919366*m/11 - 916658/11.
2*(m - 677)**2*(m - 1)/11
Suppose 5*m**3/2 + 65*m**2 + 350*m - 980 = 0. Calculate m.
-14, 2
Determine y, given that -2*y**3/23 - 62*y**2/23 - 190*y/23 + 5054/23 = 0.
-19, 7
Factor 3*h**2/5 - 258*h/5.
3*h*(h - 86)/5
Factor 5*b**5 + 85*b**4 - 30*b**3 - 470*b**2 + 665*b - 255.
5*(b - 1)**3*(b + 3)*(b + 17)
Let 3*j**4/5 - 27*j**3 + 1296*j**2/5 + 5184*j/5 = 0. What is j?
-3, 0, 24
Find l, given that -2*l**5 + 16*l**4 - 50*l**3 + 76*l**2 - 56*l + 16 = 0.
1, 2
Let c**4/9 - 10*c**3/9 - 85*c**2/9 - 170*c/9 - 32/3 = 0. Calculate c.
-3, -2, -1, 16
Find p, given that p**2/2 + 289*p/4 - 145/4 = 0.
-145, 1/2
Solve -7*q**3 + 106*q**2/5 - 73*q/5 + 2/5 = 0 for q.
1/35, 1, 2
Solve -f**2/4 + 181*f - 32761 = 0 for f.
362
Factor 3*y**3/4 - 25*y**2/4 - 12*y - 5.
(y - 10)*(y + 1)*(3*y + 2)/4
Solve 4*z**2 + 1648*z + 1644 = 0 for z.
-411, -1
Factor -5*q**2 - 9080*q + 18180.
-5*(q - 2)*(q + 1818)
Find q, given that -18*q**3 - 94*q**2 - 20*q = 0.
-5, -2/9, 0
Suppose -10*n**5/9 + 14*n**4/9 + 2*n**3/3 - 14*n**2/9 + 4*n/9 = 0. What is n?
-1, 0, 2/5, 1
Factor k**3 - 139*k**2 + 410*k - 272.
(k - 136)*(k - 2)*(k - 1)
What is m in 3*m**3 - 54*m**2 + 51*m = 0?
0, 1, 17
Factor -5*n**3 + 2030*n**2 + 8185*n + 6150.
-5*(n - 410)*(n + 1)*(n + 3)
Let f**4/6 - 81*f**3/2 - f**2/2 + 731*f/6 - 81 = 0. Calculate f.
-2, 1, 243
Determine c so that -2*c**3/15 + 68*c**2/15 + 2*c/15 - 68/15 = 0.
-1, 1, 34
Let -z**5 - 3*z**4 + 10*z**3 - 2*z**2 - 9*z + 5 = 0. What is z?
-5, -1, 1
Factor 10*c**4 - 15*c**3 - 15*c**2 + 10*c.
5*c*(c - 2)*(c + 1)*(2*c - 1)
Factor 2*u**3/3 + 22*u**2/3 + 70*u/3 + 50/3.
2*(u + 1)*(u + 5)**2/3
Factor 3*u**4 - 30*u**3 + 63*u**2 + 12*u - 84.
3*(u - 7)*(u - 2)**2*(u + 1)
Determine c so that -3*c**4/2 - 33*c**3/2 + 39*c**2/2 + 33*c/2 - 18 = 0.
-12, -1, 1
Determine k, given that 2*k**4/5 + 4*k**3/5 - 54*k**2/5 - 216*k/5 - 216/5 = 0.
-3, -2, 6
Determine v, given that -5*v**3 - 30*v**2 + 45*v + 70 = 0.
-7, -1, 2
Factor a**5 - 6*a**4 + 5*a**3.
a**3*(a - 5)*(a - 1)
Suppose 2*y**3/5 + 62*y**2/5 + 116*y/5 = 0. Calculate y.
-29, -2, 0
Find w, given that 2*w**4/5 - 4*w**3/5 - 8*w**2/5 + 16*w/5 = 0.
-2, 0, 2
Solve 2*o**2/11 - 8*o/11 + 8/11 = 0 for o.
2
Suppose -k**2 + 19*k = 0. Calculate k.
0, 19
Suppose -28*s**2 - 24*s = 0. What is s?
-6/7, 0
Suppose 2*l**2/3 + 16*l/3 = 0. What is l?
-8, 0
Factor -u**5/3 - 13*u**4/3 + 77*u**3/3 + 363*u**2.
-u**2*(u - 9)*(u + 11)**2/3
Find g such that -12*g**5 + 33*g**4 - 18*g**3 - 24*g**2 + 30*g - 9 = 0.
-1, 3/4, 1
Determine n so that -2*n**5/9 + 2*n**4/9 + 112*n**3/3 + 296*n**2/9 - 14720*n/9 - 12800/3 = 0.
-8, -3, 10
Factor m**3/3 - 14*m**2 - 43*m/3.
m*(m - 43)*(m + 1)/3
Factor -p**2 + 374*p - 373.
-(p - 373)*(p - 1)
Factor -y**3/6 + 43*y**2/3 - 485*y/6 + 200/3.
-(y - 80)*(y - 5)*(y - 1)/6
Determine v so that 4*v**4 - 592*v**3 = 0.
0, 148
Determine k, given that -3*k**2/7 + 1620*k/7 - 3228/7 = 0.
2, 538
What is v in 4*v**2 - 56*v - 60 = 0?
-1, 15
Find y, given that -y**2 - 39*y = 0.
-39, 0
Suppose 6*y**2 - 928*y + 616 = 0. What is y?
2/3, 154
Factor 2*s**4 - 22*s**3 - 6*s**2 + 70*s - 44.
2*(s - 11)*(s - 1)**2*(s + 2)
Solve -2*x**4/11 + 292*x**3/11 + 1494*x**2/11 + 2408*x/11 + 1208/11 = 0 for x.
-2, -1, 151
Let -2*w**5/3 + 40*w**4/3 - 46*w**3 + 164*w**2/3 - 64*w/3 = 0. Calculate w.
0, 1, 2, 16
Factor v**2 + 4*v.
v*(v + 4)
Suppose j**3/4 - 2*j**2 - 12*j = 0. What is j?
-4, 0, 12
Let 2*h**2/7 - 22*h/7 - 12 = 0. What is h?
-3, 14
Determine p, given that -2*p**3/9 + 1360*p**2/9 - 229834*p/9 - 465124/9 = 0.
-2, 341
Suppose -3*y**2 + 27*y - 42 = 0. What is y?
2, 7
What is c in -c**3/2 + 1045*c**2/2 - 272483*c/2 - 273529/2 = 0?
-1, 523
Factor -a**3/3 + 14*a**2/3 + 31*a - 126.
-(a - 18)*(a - 3)*(a + 7)/3
Factor 2*g**2/5 - 16*g/5.
2*g*(g - 8)/5
Find g, given that -3*g**2 + 384*g + 1584 = 0.
-4, 132
Factor -i**2 + 34*i - 64.
-(i - 32)*(i - 2)
Factor 7*d**5 - 51*d**4 + 126*d**3 - 116*d**2 + 24*d.
d*(d - 3)*(d - 2)**2*(7*d - 2)
Solve 5*q**5/4 + 75*q**4/2 + 1685*q**3/4 + 2100*q**2 + 3920*q = 0 for q.
-8, -7, 0
Suppose 3*c**2 + 201