 - 9*k**2/10 - 4*k + 24/5 = 0. What is k?
-4, 1, 12
What is h in -5285*h**3 + 10560*h**2 - 5265*h - 10 = 0?
-2/1057, 1
Find h, given that 3*h**5 + 69*h**4 + 171*h**3 - 201*h**2 - 402*h + 360 = 0.
-20, -3, -2, 1
Factor 5*g**2 + 105*g + 100.
5*(g + 1)*(g + 20)
Solve 18*j**3 - 318*j**2 - 448*j - 152 = 0.
-2/3, 19
Determine j so that -10*j**4/3 + 5*j**3/3 + 10*j**2 = 0.
-3/2, 0, 2
Factor -2*m**2 - 30*m - 52.
-2*(m + 2)*(m + 13)
Factor -4*j**3/9.
-4*j**3/9
Solve m**5/7 - 125*m**4/7 + 6010*m**3/7 - 137610*m**2/7 + 212355*m - 6073353/7 = 0 for m.
13, 33
Solve o**3/5 + 17*o**2/5 - 96*o = 0.
-32, 0, 15
Suppose g**5/3 + 5*g**4/3 + 7*g**3/3 + g**2 = 0. What is g?
-3, -1, 0
Suppose 5*l**3/6 + 50*l**2/3 - 595*l/6 + 125 = 0. What is l?
-25, 2, 3
Factor m**5/9 - m**4/3 - 8*m**3/3 + 80*m**2/9.
m**2*(m - 4)**2*(m + 5)/9
Factor 2*g**2 - 10*g.
2*g*(g - 5)
Factor -g**2 - 26*g - 169.
-(g + 13)**2
Let 4*u**3 + 372*u**2 - 376*u = 0. Calculate u.
-94, 0, 1
Factor 3*t**3 - 264*t**2 + 1020*t - 1008.
3*(t - 84)*(t - 2)**2
Determine l so that 5*l**2 + 110*l + 600 = 0.
-12, -10
Factor 3*b**5/7 + 228*b**4 - 4815*b**3/7.
3*b**3*(b - 3)*(b + 535)/7
Factor 12*v**2/5 + 190*v + 158/5.
2*(v + 79)*(6*v + 1)/5
Let -2*i**4 - 34*i**3 - 176*i**2 - 288*i = 0. Calculate i.
-9, -4, 0
Find g such that 10*g**4 + 94*g**3 + 116*g**2 + 32*g = 0.
-8, -1, -2/5, 0
Find u, given that -33*u**4 - 437*u**3 - 444*u**2 + 572*u - 48 = 0.
-12, -2, 1/11, 2/3
Factor -h**4/4 - 13*h**3/4 - 12*h**2 - 17*h - 8.
-(h + 1)*(h + 2)**2*(h + 8)/4
Let 56*l**5 + 698*l**4 - 442*l**3 - 646*l**2 + 386*l - 52 = 0. Calculate l.
-13, -1, 1/4, 2/7, 1
Suppose -2*r**3/17 - 94*r**2/17 - 352*r/17 - 344/17 = 0. Calculate r.
-43, -2
Factor -5*p**5/4 + 105*p**4/2 - 100*p**3.
-5*p**3*(p - 40)*(p - 2)/4
Let w**3/2 - 35*w**2/2 + 167*w/2 + 203/2 = 0. Calculate w.
-1, 7, 29
Factor v**2 + 3202*v + 2563201.
(v + 1601)**2
Determine l so that 2*l**5 + 258*l**4 - 1328*l**3 + 1608*l**2 = 0.
-134, 0, 2, 3
Suppose -10*y**4/13 + 56*y**3/13 + 90*y**2/13 - 432*y/13 + 216/13 = 0. What is y?
-3, 3/5, 2, 6
Suppose -u**3/6 - 947*u**2/6 - 37288*u + 37446 = 0. Calculate u.
-474, 1
Determine j, given that 3*j**4 - 168*j**3 + 1590*j**2 - 4800*j + 3375 = 0.
1, 5, 45
Find z such that -5*z**2 + 120*z - 115 = 0.
1, 23
Factor 15*o**2/2 - 633*o + 252.
3*(o - 84)*(5*o - 2)/2
Factor i**2 - 55*i + 54.
(i - 54)*(i - 1)
Factor -2*j**2 - 412*j.
-2*j*(j + 206)
Factor -g**4 + 43*g**3 - 293*g**2 + 461*g - 210.
-(g - 35)*(g - 6)*(g - 1)**2
Factor -t**4/3 + 2*t**3 - 11*t**2/3 + 2*t.
-t*(t - 3)*(t - 2)*(t - 1)/3
Let 6*n**5 + 52*n**4 - 16*n**3/3 - 1504*n**2/3 + 608*n - 192 = 0. Calculate n.
-6, 2/3, 2
What is f in 3*f**3/7 - 585*f**2/7 - 2988*f/7 - 2400/7 = 0?
-4, -1, 200
Solve x**2/4 + 45*x + 2025 = 0.
-90
Factor 4*o**3/5 + 26*o**2/15 - 2*o.
2*o*(o + 3)*(6*o - 5)/15
Factor 10*u**2/3 - 202*u - 244/3.
2*(u - 61)*(5*u + 2)/3
Factor -3*s**4 - 150*s**3 - 1275*s**2 - 3000*s.
-3*s*(s + 5)**2*(s + 40)
Let 18522*d**5/5 - 21168*d**4 + 27090*d**3 + 8924*d**2 + 888*d + 144/5 = 0. What is d?
-2/21, 3
Factor 15*k**3 - 2560*k**2 + 1700*k.
5*k*(k - 170)*(3*k - 2)
Factor -3*z**4 - 141*z**3 + 3*z**2 + 141*z.
-3*z*(z - 1)*(z + 1)*(z + 47)
Let -2*r**4 - 352*r**3 - 15486*r**2 + 352*r + 15488 = 0. Calculate r.
-88, -1, 1
Suppose -2*a**2 + 2*a + 24 = 0. Calculate a.
-3, 4
Factor 3*q**2/8 + 765*q/8.
3*q*(q + 255)/8
Factor -5*v**5 - 60*v**4 - 70*v**3 + 620*v**2 - 765*v + 280.
-5*(v - 1)**3*(v + 7)*(v + 8)
Determine r, given that 14*r**5/3 - 1004*r**4/9 + 764*r**3 - 10424*r**2/9 + 1342*r/3 + 484/9 = 0.
-2/21, 1, 11
Factor 2*j**3 + 36*j**2 - 122*j + 84.
2*(j - 2)*(j - 1)*(j + 21)
Factor -2*j**2 + 66*j.
-2*j*(j - 33)
Determine j, given that -4*j**3/5 - 124*j**2/5 + 52*j - 132/5 = 0.
-33, 1
Factor 9*w**5 - 69*w**4 + 135*w**3 + 81*w**2 - 324*w.
3*w*(w - 3)**3*(3*w + 4)
Factor 3*q**4/2 + 114*q**3 + 2808*q**2 + 20280*q - 52728.
3*(q - 2)*(q + 26)**3/2
Factor -5*d**3 + 85*d**2 - 220*d + 140.
-5*(d - 14)*(d - 2)*(d - 1)
Solve u**2/3 + 26*u/3 - 169 = 0 for u.
-39, 13
Factor -x**2/6 + 122*x + 733/6.
-(x - 733)*(x + 1)/6
Find a, given that -5*a**3 - 25*a**2 - 35*a - 15 = 0.
-3, -1
Factor 2*d**3/3 - 172*d**2/3 - 760*d - 2352.
2*(d - 98)*(d + 6)**2/3
Suppose -3*r**2 - 744*r - 1476 = 0. Calculate r.
-246, -2
Factor -2*p**3/3 - 16*p**2/3 + 98*p/3 + 784/3.
-2*(p - 7)*(p + 7)*(p + 8)/3
Suppose -27*k**3 - 285*k**2 + 132*k = 0. What is k?
-11, 0, 4/9
Suppose -x**5 + 11*x**4 - 19*x**3 + 9*x**2 = 0. Calculate x.
0, 1, 9
Factor -m**2/3 + 34*m - 867.
-(m - 51)**2/3
Solve -2*q**4/13 - 18*q**3/13 - 22*q**2/13 + 42*q/13 = 0.
-7, -3, 0, 1
Factor i**2/7 + 384*i/7.
i*(i + 384)/7
Factor 5*a**4/3 - 1975*a**3 - 5930*a**2/3.
5*a**2*(a - 1186)*(a + 1)/3
Factor -4*n**2 + 1780*n + 1784.
-4*(n - 446)*(n + 1)
Factor 2*m**3/9 - 4*m**2/3 + 2*m/3 + 20/9.
2*(m - 5)*(m - 2)*(m + 1)/9
Factor -3*c**3/4 + 405*c**2/4 - 3366*c - 3468.
-3*(c - 68)**2*(c + 1)/4
Suppose -12*a**5 - 74*a**4 + 192*a**3 + 106*a**2 - 180*a - 32 = 0. Calculate a.
-8, -1, -1/6, 1, 2
Suppose -2*h**4 + 6*h**2 - 4*h = 0. What is h?
-2, 0, 1
Factor -2*q**3/3 + 7*q**2/2 - 6*q + 10/3.
-(q - 2)**2*(4*q - 5)/6
Solve f**4 - 30*f**3 + 171*f**2 - 230*f = 0.
0, 2, 5, 23
Factor -2*n**2/11 - 1470*n/11 - 1468/11.
-2*(n + 1)*(n + 734)/11
Factor 2*c**3/13 + 2*c**2 + 24*c/13.
2*c*(c + 1)*(c + 12)/13
Factor 2*w**3/11 - 1378*w**2/11 - 2762*w/11 - 1382/11.
2*(w - 691)*(w + 1)**2/11
Factor -3*p**5 - 1123*p**4 - 419626*p**3/3 - 5765750*p**2 + 3890625*p - 1953125/3.
-(p + 125)**3*(3*p - 1)**2/3
Suppose 25*d**5/7 + 130*d**4/7 - 291*d**3/7 + 164*d**2/7 - 4*d = 0. What is d?
-7, 0, 2/5, 1
Factor -w**4/4 + 37*w**3/4 + 203*w**2/4 + 291*w/4 + 63/2.
-(w - 42)*(w + 1)**2*(w + 3)/4
Suppose 196*j**5 - 700*j**4 - 432*j**3 + 400*j**2 - 64*j = 0. Calculate j.
-1, 0, 2/7, 4
Factor -1089*p**2/2 + 1101*p/2 - 6.
-3*(p - 1)*(363*p - 4)/2
What is z in z**4 + z**3 - 50*z**2 + 48*z = 0?
-8, 0, 1, 6
Suppose 84*j**4 + 8144*j**3 - 8628*j**2 - 384*j + 784 = 0. What is j?
-98, -2/7, 1/3, 1
Factor -3*s**2/2 + 75*s - 147/2.
-3*(s - 49)*(s - 1)/2
Factor -3*g**3 - 468*g**2 - 24336*g - 421824.
-3*(g + 52)**3
Suppose g**2/12 + 419*g/12 - 211/2 = 0. What is g?
-422, 3
Factor 10*x**4/3 - 2186*x**3/3 + 120118*x**2/3 - 23762*x.
2*x*(x - 109)**2*(5*x - 3)/3
Factor 4*v**3 + 292*v**2 + 1104*v.
4*v*(v + 4)*(v + 69)
Determine g so that 5*g**5 + 90*g**4 + 365*g**3 + 540*g**2 + 260*g = 0.
-13, -2, -1, 0
Let -6*p**4/5 - 57*p**3/5 - 183*p**2/5 - 48*p - 108/5 = 0. What is p?
-9/2, -2, -1
Factor 5*t**4 + 20*t**3 - 10*t**2 - 60*t + 45.
5*(t - 1)**2*(t + 3)**2
Factor -8*c**3 - 1458*c**2 + 1100*c + 366.
-2*(c - 1)*(c + 183)*(4*c + 1)
Suppose o**5/3 - 4*o**4 + 11*o**3 + 74*o**2/3 - 128*o + 96 = 0. Calculate o.
-3, 1, 4, 6
Solve -44*f**2/19 - 370*f/19 + 34/19 = 0.
-17/2, 1/11
Factor 2*a**4 - 358*a**3 - 1086*a**2 - 1090*a - 364.
2*(a - 182)*(a + 1)**3
Factor 108578*m**2/5 + 932*m/5 + 2/5.
2*(233*m + 1)**2/5
Let 2*o**2 + 284*o + 10082 = 0. What is o?
-71
Find x such that -7*x**4 + 275*x**3 - 71*x**2 - 275*x + 78 = 0.
-1, 2/7, 1, 39
Determine h, given that -2*h**4 - 4134*h**3 - 2134176*h**2 + 2138312*h = 0.
-1034, 0, 1
Factor -w**2/5 - 436*w/5 - 47524/5.
-(w + 218)**2/5
Solve 2*s**2 + 168*s + 3528 = 0 for s.
-42
Factor f**2/4 - f/4.
f*(f - 1)/4
Suppose 105*t**3 - 1255*t**2 - 70*t + 120 = 0. Calculate t.
-1/3, 2/7, 12
Factor -6*s**2 + 3453*s + 1728.
-3*(s - 576)*(2*s + 1)
Suppose -k**2 - 76*k - 1444 = 0. What is k?
-38
What is l in l**2 + 36*l - 37 = 0?
-37, 1
Find k such that 7*k**3/2 - 43*k**2 + 101*k/2 - 11 = 0.
2/7, 1, 11
Determine d, given that d**5/6 + 49*d**4/6 + 575*d**3/6 - 625*d**2/6 = 0.
-25, 0, 1
Factor -3*t**4/5 - 2*t**3 - 12*t**2/5 - 6*t/5 - 1/5.
-(t + 1)**3*(3*t + 1)/5
Let -3*z**4 + 1239*z**3 - 170154*z**2 + 7712820*z + 7884216 = 0. What is z?
-1, 138
Factor -a**3 + 237*a**2 + 240*a - 476.
-(a - 238)*(a - 1)*(a + 2)
Factor 3*q**3/5 - 33*q**2/5 + 6*q.
3*q*(q - 10)*(q - 1)/5
Solve -5*k**4 + 10*k**3 + 215*k**2 - 40*k - 1680 = 0.
-4, 3, 7
Let -s**3/3 - 40*s**2/3 - 241*s/3 - 110 = 0. What is s?
-33, -5, -2
Factor 4*n**2 - 520*n + 16900.
4*(n - 65)**2
Find c such that 126*c**3/19 - 1196*c**2/19 - 632*c/19 - 80/19 = 0.
-2/7, -2/9, 10
Let -l**2 + 9*l + 10 = 0. What is l?
-1, 10
Let 14*h**3/19 + 4*h**2/19 - 56*h/19 - 16/19 = 0. Calculate