 + 18*s**2 = 0. What is s?
-9, -1, 0
Let -x**4 - 14*x**3 - 48*x**2 + 14*x + 49 = 0. Calculate x.
-7, -1, 1
Factor b**4 + 158*b**3 + 4461*b**2 - 140620*b + 792100.
(b - 10)**2*(b + 89)**2
Suppose -2*r**2 - 86*r - 444 = 0. What is r?
-37, -6
Factor 3*m**2 - 492*m.
3*m*(m - 164)
Factor 4*k**3 - 1182*k**2 + 87024*k + 43808.
2*(k - 148)**2*(2*k + 1)
Suppose -5*j**3 + 35*j**2 - 10*j - 200 = 0. Calculate j.
-2, 4, 5
What is f in 5*f**5 - 1397*f**4/7 + 1243*f**3/7 + 197*f**2/7 - 78*f/7 = 0?
-2/7, 0, 1/5, 1, 39
Suppose -4*t**2 - 36*t + 40 = 0. Calculate t.
-10, 1
Let -2*v**5/17 + 4*v**4/17 + 16*v**3/17 - 36*v**2/17 + 18*v/17 = 0. Calculate v.
-3, 0, 1, 3
Factor 5*b**4 - 15*b**3 - 20*b**2 + 60*b.
5*b*(b - 3)*(b - 2)*(b + 2)
Factor -2*c**2/5 - 6*c/5 - 4/5.
-2*(c + 1)*(c + 2)/5
What is x in 2*x**4 + 34*x**3 - 2*x**2 - 34*x = 0?
-17, -1, 0, 1
Let 324*t**2 + 41616*t + 1336336 = 0. What is t?
-578/9
Factor r**3/10 + 457*r**2/10 + 51983*r/10 - 52441/10.
(r - 1)*(r + 229)**2/10
Suppose -2*m**3/15 - 4*m**2/3 + 70*m/3 - 200/3 = 0. Calculate m.
-20, 5
Suppose -5*q**3 + 205*q**2 - 2200*q + 2000 = 0. What is q?
1, 20
Solve 16*i**5/5 + 88*i**4/5 + 172*i**3/5 + 146*i**2/5 + 56*i/5 + 8/5 = 0.
-2, -1/2
Factor s**5 + 183*s**4 - 3*s**3 - 547*s**2 + 366*s.
s*(s - 1)**2*(s + 2)*(s + 183)
Factor -3*v**2/2 + 15*v/4 + 9/4.
-3*(v - 3)*(2*v + 1)/4
Find y such that -105*y**4 - 880*y**3 + 6035*y**2 - 3470*y + 520 = 0.
-13, 2/7, 1/3, 4
Factor -2*w**3/5 + 96*w**2/5 - 128*w.
-2*w*(w - 40)*(w - 8)/5
Factor -4*z**2 - 1272*z + 3852.
-4*(z - 3)*(z + 321)
Find s, given that -4*s**4 - 24*s**3 + 1772*s**2 + 19824*s + 18032 = 0.
-14, -1, 23
Factor -98*c**3 - 336*c**2 - 288*c.
-2*c*(7*c + 12)**2
Find c such that -c**2/2 + 256*c - 511/2 = 0.
1, 511
Factor 115*a**2/2 - 5295*a/4 + 115/4.
5*(a - 23)*(46*a - 1)/4
Suppose -4*n**2 - 216*n = 0. What is n?
-54, 0
Solve -7*a**5/2 + 61*a**4/2 - 54*a**3 - 130*a**2 + 304*a + 96 = 0 for a.
-2, -2/7, 3, 4
Solve -32*g**5/5 - 386*g**4/5 - 312*g**3 - 2144*g**2/5 - 128*g/5 = 0.
-4, -1/16, 0
Factor -3*n**3/5 - 9*n**2 - 81*n/5 - 39/5.
-3*(n + 1)**2*(n + 13)/5
Let 2*i**2 + 14*i + 12 = 0. Calculate i.
-6, -1
Factor 4*r**2 + 1064*r - 5420.
4*(r - 5)*(r + 271)
Determine w, given that 2*w**5/9 - 10*w**4/3 + 148*w**3/9 - 328*w**2/9 + 112*w/3 - 128/9 = 0.
1, 2, 8
Solve 9*y**3/2 - 10*y**2 + 13*y/2 - 1 = 0 for y.
2/9, 1
What is b in -5*b**5 - 70*b**4 - 365*b**3 - 840*b**2 - 720*b = 0?
-4, -3, 0
Factor 3*k**4 - 1011*k**3 - 5106*k**2 - 8196*k - 4104.
3*(k - 342)*(k + 1)*(k + 2)**2
Determine b so that b**4/2 + 7*b**3/2 - 61*b**2/2 - 7*b/2 + 30 = 0.
-12, -1, 1, 5
Factor -r**5/9 + 5*r**4/9.
-r**4*(r - 5)/9
Determine a, given that 20*a**4 + 308*a**3 + 768*a**2 - 576*a = 0.
-12, -4, 0, 3/5
Factor 2*a**4/13 - 4*a**3/13 - 32*a**2/13 + 64*a/13.
2*a*(a - 4)*(a - 2)*(a + 4)/13
Suppose -2*d**3 - 118*d**2 - 116*d = 0. Calculate d.
-58, -1, 0
Factor 5*v**5 - 970*v**4 + 2880*v**3 - 2870*v**2 + 955*v.
5*v*(v - 191)*(v - 1)**3
Suppose 15*v**5 + 235*v**4 - 115*v**3 - 555*v**2 + 100*v + 320 = 0. Calculate v.
-16, -1, 1, 4/3
Find w, given that 5*w**2 - 55*w + 50 = 0.
1, 10
Find o such that o**4/6 + 5*o**3 + 293*o**2/6 + 164*o + 120 = 0.
-12, -5, -1
Factor 3*o**2/5 - 258*o/5 + 747/5.
3*(o - 83)*(o - 3)/5
Factor 4*f**4 + 44*f**3 - 204*f**2 - 524*f - 280.
4*(f - 5)*(f + 1)**2*(f + 14)
Suppose -245*r**4 - 3815*r**3 - 5550*r**2 - 2260*r - 280 = 0. What is r?
-14, -1, -2/7
Factor 3*c**4/2 - 9*c**3/2 - 21*c**2 + 18*c + 60.
3*(c - 5)*(c - 2)*(c + 2)**2/2
Factor 2*v**3 + 42*v**2 - 306*v + 486.
2*(v - 3)**2*(v + 27)
Factor -2*q**2/7 + 38*q/7 + 12.
-2*(q - 21)*(q + 2)/7
Solve 147*m**5/2 - 21693*m**4/2 - 80342*m**3/3 + 2408*m**2/3 + 21328*m/3 - 1400 = 0.
-7/3, -2/3, 2/7, 150
Determine b, given that -6*b**4/5 - 404*b**3/5 - 3896*b**2/15 - 240*b - 1024/15 = 0.
-64, -2, -2/3
Solve -f**4 - 8*f**3 + 261*f**2 - 252*f = 0 for f.
-21, 0, 1, 12
Solve -6*u**4 + 63*u**3/2 + 33*u**2/2 - 126*u + 30 = 0.
-2, 1/4, 2, 5
Solve -4*j**2 + 1448*j + 2912 = 0.
-2, 364
Factor -18*k**3/7 - 32*k**2/7 + 62*k/7 - 12/7.
-2*(k - 1)*(k + 3)*(9*k - 2)/7
Factor 4*y**2 + 1840*y + 211600.
4*(y + 230)**2
Factor -10*f**2 + 135*f - 180.
-5*(f - 12)*(2*f - 3)
Find b such that -2*b**5/3 + 26*b**4/3 - 38*b**3 + 66*b**2 - 36*b = 0.
0, 1, 3, 6
Factor -4*s**2/7 + 48*s/7 - 128/7.
-4*(s - 8)*(s - 4)/7
Factor -2*c**3/9 - 100*c**2/9 - 322*c/3 - 228.
-2*(c + 3)*(c + 9)*(c + 38)/9
Factor -4*p**3 + 27*p**2 + 522*p - 405.
-(p - 15)*(p + 9)*(4*p - 3)
Factor 2*u**5 + 70*u**4 + 468*u**3 + 972*u**2 - 54*u - 1458.
2*(u - 1)*(u + 3)**3*(u + 27)
Solve 2*q**4 + 32*q**3 - 70*q**2 + 36*q = 0 for q.
-18, 0, 1
Let 2*s**4/15 + 16*s**3/15 + 8*s**2/5 = 0. Calculate s.
-6, -2, 0
Solve -3*i**4/4 + 195*i**3/4 - 816*i**2 + 768*i = 0 for i.
0, 1, 32
Factor -3*y**3 - 6*y**2 + 60*y - 72.
-3*(y - 2)**2*(y + 6)
Factor 4*b**4 + 272*b**3 + 6336*b**2 + 54208*b + 85184.
4*(b + 2)*(b + 22)**3
What is d in -4*d**5 + 64*d**4 - 288*d**3 + 520*d**2 - 412*d + 120 = 0?
1, 3, 10
Find w, given that -w**5 + w**4 + 31*w**3 + 71*w**2 + 42*w = 0.
-3, -2, -1, 0, 7
What is a in 3*a**3/5 + 144*a**2/5 + 1863*a/5 + 3174/5 = 0?
-23, -2
Find u such that -5*u**3 + 115*u**2 - 855*u + 2025 = 0.
5, 9
Factor g**3/2 + 5*g**2/2 + 7*g/2 + 3/2.
(g + 1)**2*(g + 3)/2
Factor -r**5/7 + 3*r**4/7 + r**3/7 - 11*r**2/7 + 12*r/7 - 4/7.
-(r - 2)*(r - 1)**3*(r + 2)/7
Factor z**2 + 18*z - 63.
(z - 3)*(z + 21)
Factor -4*q**5 - 4*q**4 + 44*q**3 + 116*q**2 + 104*q + 32.
-4*(q - 4)*(q + 1)**3*(q + 2)
Suppose 3*r**5/2 + 87*r**4/2 + 447*r**3 + 1890*r**2 + 2700*r = 0. What is r?
-10, -6, -3, 0
Find w, given that -2*w**4/3 - 112*w**3 - 4590*w**2 + 28900*w/3 = 0.
-85, 0, 2
Factor 2*n**4 + 12*n**3 + 16*n**2.
2*n**2*(n + 2)*(n + 4)
What is l in l**5/5 - 14*l**4/5 - 89*l**3/5 - 118*l**2/5 + 68*l/5 + 152/5 = 0?
-2, 1, 19
Solve -10*x**2/3 + 124*x/3 - 80 = 0.
12/5, 10
Find d such that -2*d**4 + 214*d**3 - 5830*d**2 + 5618*d = 0.
0, 1, 53
Factor -2*r**3/3 + 6*r**2 - 40*r/3 + 8.
-2*(r - 6)*(r - 2)*(r - 1)/3
Let i**3 - 236*i**2 + 13440*i + 57600 = 0. What is i?
-4, 120
Find n, given that 2*n**5/7 + 1220*n**4/7 + 182354*n**3/7 - 1127288*n**2/7 + 243232*n - 108416 = 0.
-308, 1, 4
Factor 3*w**3/7 + 51*w**2/7 - 288*w/7 - 108.
3*(w - 6)*(w + 2)*(w + 21)/7
Let -h**5 - 12*h**4 + 59*h**3 - 78*h**2 + 32*h = 0. What is h?
-16, 0, 1, 2
Factor 2*q**3/3 - 392*q**2/3 - 264*q.
2*q*(q - 198)*(q + 2)/3
Suppose m**4/3 + 124*m**3/3 + 3844*m**2/3 = 0. Calculate m.
-62, 0
Factor -5*x**4/4 + 5*x**3 - 5*x**2.
-5*x**2*(x - 2)**2/4
Determine b, given that -4*b**2 - 224*b + 1488 = 0.
-62, 6
Factor h**2/6 + 8*h/3 - 6.
(h - 2)*(h + 18)/6
Solve 3*k**2/4 + 201*k/2 + 13467/4 = 0.
-67
Factor 4*m**5 + 236*m**4 - 992*m**3 + 1008*m**2.
4*m**2*(m - 2)**2*(m + 63)
Suppose 7*t**4/2 + 15*t**3 + 43*t**2/2 + 12*t + 2 = 0. Calculate t.
-2, -1, -2/7
Determine l so that -3*l**4/5 + 213*l**3/5 - 3654*l**2/5 - 5184*l/5 + 23328/5 = 0.
-3, 2, 36
Solve 4*p**4 - 32*p**3 + 24*p**2 + 32*p - 28 = 0 for p.
-1, 1, 7
Determine y, given that -4*y**2 - 248*y + 512 = 0.
-64, 2
Determine g so that -2*g**4 - 12*g**3 - 2*g**2 + 48*g - 32 = 0.
-4, 1
Solve -o**2/2 - 11*o - 21/2 = 0.
-21, -1
Let 3*a**2/7 - 9*a/7 - 30/7 = 0. What is a?
-2, 5
Factor 2*o**2/15 - 4*o/5 - 32/15.
2*(o - 8)*(o + 2)/15
Solve 3*g**2/5 - 57*g = 0 for g.
0, 95
Find m such that -2*m**3/5 - 2*m**2 - 8*m/5 = 0.
-4, -1, 0
Solve -c**4/2 - 2*c**3 + c**2/2 + 8*c + 6 = 0.
-3, -2, -1, 2
Factor -3*t**5 + 42*t**4 - 216*t**3 + 486*t**2 - 405*t.
-3*t*(t - 5)*(t - 3)**3
Factor -2*t**3/5 + 6*t**2/5 + 10*t + 42/5.
-2*(t - 7)*(t + 1)*(t + 3)/5
Solve -2*l**3/7 + 66*l**2/7 - 34*l + 174/7 = 0 for l.
1, 3, 29
Suppose 4*n**5 - 41*n**4 + 10*n**3 = 0. Calculate n.
0, 1/4, 10
Suppose -10*u**5/11 - 54*u**4/11 + 50*u**3/11 + 78*u**2/11 - 40*u/11 - 24/11 = 0. Calculate u.
-6, -1, -2/5, 1
Let -10*c**5/19 + 972*c**4/19 + 2776*c**3/19 + 2396*c**2/19 + 402*c/19 - 200/19 = 0. What is c?
-1, 1/5, 100
Factor -5*t**4 + 10*t**3 + 20*t**2 - 10*t - 15.
-5*(t - 3)*(t - 1)*(t + 1)**2
Find o, given that -5*o**2 + 14340*o - 10281780 = 0.
1434
Find u, given that -u**5/7 - 3*u**4/7 + 33*u**3/7 - 53*u**2/7 + 24*u/7 = 0.
-8, 0, 1, 3
Factor -4*u**3 - 5788*u**2 - 11564*u - 5780.
-4*(u + 1)**2*(u + 1445)
Suppose -o**3 + 9*o**2 - 24*o + 16 = 0. Calculate o.
1, 4
Find u, give