/2 - 51*s**2/2 + 27*s/2 + 27 = 0. Calculate s.
-6, -3, -1, 1
Determine d, given that d**3/4 - 3*d**2/4 + d/2 = 0.
0, 1, 2
Factor 2*x**2 + 36*x + 64.
2*(x + 2)*(x + 16)
Suppose -5*d**2 + 335*d + 3000 = 0. What is d?
-8, 75
Let 2*y**2 - 20*y + 32 = 0. What is y?
2, 8
Factor -o**3/3 - 5*o**2/3 - 4*o/3.
-o*(o + 1)*(o + 4)/3
Solve 33*d**3/4 + 459*d**2/4 + 387*d/4 - 39/4 = 0 for d.
-13, -1, 1/11
Factor -2*p**5/11 - 36*p**4/11 - 192*p**3/11 - 256*p**2/11.
-2*p**2*(p + 2)*(p + 8)**2/11
Solve o**2 - 626*o + 97969 = 0.
313
Factor 2*j**2/9 - 3644*j/9 + 1659842/9.
2*(j - 911)**2/9
Factor 2*u**3/3 + 820*u**2/3 + 1622*u + 2424.
2*(u + 3)**2*(u + 404)/3
Factor f**3/5 + 306*f**2/5 + 31212*f/5 + 1061208/5.
(f + 102)**3/5
Factor v**4/4 - 3*v**3/4 - 31*v**2/2 - 24*v + 40.
(v - 10)*(v - 1)*(v + 4)**2/4
Solve -2*x**4 + 40*x**3 - 192*x**2 - 160*x + 800 = 0 for x.
-2, 2, 10
Find q, given that -44*q**5 + 2016*q**4 + 11588*q**3 + 2040*q**2 = 0.
-5, -2/11, 0, 51
Find g, given that 4*g**2 - 12*g - 16 = 0.
-1, 4
Let -2500*c**4 - 24000*c**3 - 86400*c**2 - 138240*c - 82944 = 0. What is c?
-12/5
Factor -3*o**2 - 1434*o - 171363.
-3*(o + 239)**2
What is h in -2*h**4/9 + 1814*h**3/3 - 411022*h**2 - 3704642*h/9 = 0?
-1, 0, 1361
Let -2*l**2/3 + 2566*l/3 - 2564/3 = 0. What is l?
1, 1282
Solve 5*f**5 - 50*f**4 + 120*f**3 + 50*f**2 - 125*f = 0.
-1, 0, 1, 5
Solve -6*l**2/25 - 262*l/25 - 172/25 = 0.
-43, -2/3
Determine d so that 12*d**4 + 5007*d**3 + 11211*d**2 + 2490*d = 0.
-415, -2, -1/4, 0
Let 2*o**4/15 - 1648*o**3/15 + 346016*o**2/15 - 896512*o/5 + 1775616/5 = 0. Calculate o.
4, 408
Let -3*d**2/7 + 3993*d/7 = 0. What is d?
0, 1331
Find d, given that -2*d**5/9 + 10*d**4/9 + 2*d**3/9 - 10*d**2/9 = 0.
-1, 0, 1, 5
Find d, given that 3*d**5 + 18*d**4 + 30*d**3 - 33*d - 18 = 0.
-3, -2, -1, 1
Suppose 14*t**4 + 193*t**3 + 453*t**2 + 268*t + 44 = 0. Calculate t.
-11, -2, -1/2, -2/7
Find i such that i**4 + 67*i**3 + 1410*i**2 + 9184*i + 7840 = 0.
-28, -10, -1
Find o, given that -6480*o**4 + 13320*o**3 + 18715*o**2 - 1070*o + 15 = 0.
-1, 1/36, 3
Let -s**5 + 2*s**4 + 3*s**3 - 4*s**2 - 4*s = 0. Calculate s.
-1, 0, 2
What is o in 4*o**5/3 + 13*o**4/3 - 8*o**3/3 - 9*o**2 + 6*o = 0?
-3, -2, 0, 3/4, 1
Find v such that -98*v**4/11 + 112*v**3/11 + 360*v**2/11 - 448*v/11 + 128/11 = 0.
-2, 4/7, 2
Factor 22*m**2/7 + 24*m/7 + 2/7.
2*(m + 1)*(11*m + 1)/7
Factor -2*w**2 - 238*w.
-2*w*(w + 119)
Factor -2*y**3/9 - 8*y**2/9 - 8*y/9.
-2*y*(y + 2)**2/9
Factor i**3/4 - 5*i**2/4 - 6*i.
i*(i - 8)*(i + 3)/4
Suppose 3*k**3/4 - 9*k**2/4 - 27*k/4 - 15/4 = 0. What is k?
-1, 5
Suppose -20*g**5 - 504*g**4 + 1760*g**3 + 5512*g**2 + 3828*g + 560 = 0. Calculate g.
-28, -1, -1/5, 5
Solve 2*t**3/5 + 16*t**2/5 - 642*t/5 - 2016/5 = 0 for t.
-21, -3, 16
Factor -24*w**5 + 6*w**4 + 1311*w**3/2 - 5511*w**2/8 - 4719*w + 7986.
-3*(w + 4)**2*(4*w - 11)**3/8
Suppose 2*l**2/5 - 108*l/5 = 0. What is l?
0, 54
Let 40*o**3/17 + 54*o**2/17 - 66*o/17 - 28/17 = 0. What is o?
-2, -7/20, 1
Factor 861*t**2/2 + 857*t/4 - 1/2.
(2*t + 1)*(861*t - 2)/4
Find b, given that -15*b**3 - 2285*b**2 - 5260*b - 1500 = 0.
-150, -2, -1/3
Factor 95*j**2 - 10*j.
5*j*(19*j - 2)
Factor 2*u**4 - 8*u**3 - 34*u**2 + 120*u.
2*u*(u - 5)*(u - 3)*(u + 4)
What is y in -5*y**2 + 50*y - 105 = 0?
3, 7
Factor w**2 - 3*w + 2.
(w - 2)*(w - 1)
Factor 2*x**5 + 12*x**4 + 26*x**3 + 24*x**2 + 8*x.
2*x*(x + 1)**2*(x + 2)**2
Factor 2*n**5/17 + 4*n**4/17 - 4*n**2/17 - 2*n/17.
2*n*(n - 1)*(n + 1)**3/17
Suppose -8*r**2 - 180*r - 1000 = 0. What is r?
-25/2, -10
Solve -2*r**2 + 98*r = 0.
0, 49
Factor 2*s**5 - 10*s**4 - 78*s**3 + 274*s**2 - 284*s + 96.
2*(s - 8)*(s - 1)**3*(s + 6)
Let -5*f**2/3 + 25*f - 70/3 = 0. Calculate f.
1, 14
Factor -4*w**2 + 1012*w.
-4*w*(w - 253)
Factor f**3/6 - 2*f**2/3 - f/6 + 2/3.
(f - 4)*(f - 1)*(f + 1)/6
Suppose 6*j**4/17 + 152*j**3/17 - 268*j**2/17 + 56*j/17 + 54/17 = 0. What is j?
-27, -1/3, 1
Suppose 3*a**3 - 39*a**2 + 30*a + 72 = 0. Calculate a.
-1, 2, 12
Solve 2*d**5/5 + 8*d**4 + 38*d**3/5 - 2592*d**2/5 - 9504*d/5 - 6912/5 = 0.
-12, -3, -1, 8
Let -3*k**3 + 27*k**2 - 72*k + 60 = 0. Calculate k.
2, 5
Let -3*v**3 - 27*v**2 - 72*v - 60 = 0. What is v?
-5, -2
Solve 3*p**5 - 33*p**4 - 111*p**3 + 393*p**2 + 468*p = 0.
-4, -1, 0, 3, 13
Factor 3*j**3 + 318*j**2 + 9300*j + 45000.
3*(j + 6)*(j + 50)**2
Factor l**2 + 354*l + 31329.
(l + 177)**2
Solve -v**2/2 + 86*v - 3698 = 0.
86
Suppose d**5/8 + d**4/4 - 9*d**3/8 - d**2/4 + d = 0. Calculate d.
-4, -1, 0, 1, 2
Suppose -2*z**5/5 - 1112*z**4/5 - 2216*z**3/5 + 4*z**2/5 + 2218*z/5 + 1108/5 = 0. What is z?
-554, -1, 1
Let 8*x**4 + 36*x**3 - 44*x**2 = 0. What is x?
-11/2, 0, 1
Find p, given that p**5/7 + 4*p**4/7 + p**3/7 - 10*p**2/7 - 4*p/7 + 8/7 = 0.
-2, 1
Factor 8*p**2/7 + 34*p/7 - 30/7.
2*(p + 5)*(4*p - 3)/7
Factor 4*d**3 - 180*d**2 + 1932*d + 2116.
4*(d - 23)**2*(d + 1)
Determine q so that 3*q**4 + 36*q**3/7 - 621*q**2/7 + 1056*q/7 - 36 = 0.
-7, 2/7, 2, 3
Factor -5*m**4 - 65*m**3 + 80*m**2 + 140*m.
-5*m*(m - 2)*(m + 1)*(m + 14)
Determine z, given that z**3/2 - 4*z**2 + 7*z/2 = 0.
0, 1, 7
Find t such that 2*t**3/5 - 2*t**2/5 - 508*t/5 + 3168/5 = 0.
-18, 8, 11
Factor 2*f**2 - 182*f - 372.
2*(f - 93)*(f + 2)
Factor 2*d**2/9 + 34*d/9.
2*d*(d + 17)/9
Find d such that -26*d**3 - 56*d**2 - 34*d - 4 = 0.
-1, -2/13
Find h, given that 28*h**4 + 268*h**3 + 524*h**2 + 116*h - 168 = 0.
-7, -2, -1, 3/7
Determine f so that -3*f**2/8 + 309*f/2 - 31827/2 = 0.
206
Let 15*y**5 + 280*y**4 + 675*y**3 + 570*y**2 + 160*y = 0. What is y?
-16, -1, -2/3, 0
Solve 4*a**3/3 - 12*a**2 - 40*a + 800/3 = 0.
-5, 4, 10
Factor -h**5/4 + 3*h**3/4 - h**2/2.
-h**2*(h - 1)**2*(h + 2)/4
Determine h so that 5*h**3 - 26*h**2 + 21*h + 36 = 0.
-4/5, 3
Factor -2*t**4 - 696*t**3 - 1386*t**2 - 692*t.
-2*t*(t + 1)**2*(t + 346)
Find t, given that 2*t**2 + 46*t - 936 = 0.
-36, 13
Let 7*t**3/4 - 31*t**2 - 169*t/4 - 19/2 = 0. Calculate t.
-1, -2/7, 19
Solve -3*q**5 - 90*q**4 - 246*q**3 - 72*q**2 + 249*q + 162 = 0.
-27, -2, -1, 1
Solve 5*k**4 + 112*k**3 + 44*k**2 = 0 for k.
-22, -2/5, 0
Suppose 2*o**2/17 + 26*o/17 + 24/17 = 0. Calculate o.
-12, -1
Suppose -2*v**4/5 - 38*v**3/5 + 18*v**2 + 126*v/5 = 0. What is v?
-21, -1, 0, 3
Solve -4*c**4 + 28*c**3 - 64*c**2 + 48*c = 0.
0, 2, 3
Factor -a**3/5 + 67*a**2/5 + 56*a + 284/5.
-(a - 71)*(a + 2)**2/5
Determine w so that w**3/3 + 48*w**2 + 143*w/3 = 0.
-143, -1, 0
Find w such that 125*w**3 - 300*w**2 - 720*w - 320 = 0.
-4/5, 4
Let -15*a**2 + 21*a + 18 = 0. What is a?
-3/5, 2
Determine j, given that -3*j**2 - 246*j + 765 = 0.
-85, 3
Factor -2*p**3 - 948*p**2 - 149784*p - 7888624.
-2*(p + 158)**3
Factor t**4/6 - 3*t**3/2 - 35*t**2/6 + 147*t/2 - 343/3.
(t - 7)**2*(t - 2)*(t + 7)/6
Determine q so that 15625*q**4/3 - 394375*q**3/3 + 31350*q**2 - 7508*q/3 + 200/3 = 0.
2/25, 25
Suppose -81*g**5/5 + 171*g**4 - 1833*g**3/5 + 1473*g**2/5 - 462*g/5 + 48/5 = 0. What is g?
2/9, 1/3, 1, 8
Suppose 4*j**5 - 72*j**4 + 272*j**3 - 120*j**2 - 468*j = 0. Calculate j.
-1, 0, 3, 13
Solve -k**5/8 - 41*k**4/4 - 155*k**3/4 + 21*k**2 + 927*k/8 - 351/4 = 0 for k.
-78, -3, 1
Solve 3*a**2/5 + 267*a + 3978/5 = 0.
-442, -3
Suppose 318*t**3 - 2026*t**2 - 1408*t + 56 = 0. Calculate t.
-2/3, 2/53, 7
Let -5*c**5 - 30*c**4 + 185*c**3 - 170*c**2 - 180*c + 200 = 0. What is c?
-10, -1, 1, 2
Solve -9*z**5 + 903*z**4 - 31344*z**3 + 410112*z**2 - 1130496*z - 1572864 = 0 for z.
-1, 16/3, 32
Factor 2*h**2 - 392*h/3 + 130/3.
2*(h - 65)*(3*h - 1)/3
Factor -27*d**2/8 - 33*d/8 - 3/4.
-3*(d + 1)*(9*d + 2)/8
Factor j**3 - 37*j**2 - 25*j + 8125.
(j - 25)**2*(j + 13)
Factor c**3/5 - 537*c**2/5 + 14472*c - 71824/5.
(c - 268)**2*(c - 1)/5
Solve 3*o**5 - 18*o**4 - 1191*o**3 + 16530*o**2 - 51300*o - 69000 = 0 for o.
-23, -1, 10
Factor r**2 - 447*r + 446.
(r - 446)*(r - 1)
Determine o so that -3*o**3/7 + 387*o**2/7 - 11880*o/7 - 39204/7 = 0.
-3, 66
Factor 2*j**5 - 46*j**4 - 48*j**3.
2*j**3*(j - 24)*(j + 1)
Factor 2*i**4/3 + 72*i**3 + 6632*i**2/3 + 14400*i + 80000/3.
2*(i + 4)**2*(i + 50)**2/3
Factor 5*s**2 + 5*s - 910.
5*(s - 13)*(s + 14)
Find j such that -1225*j**2/11 + 70*j/11 - 1/11 = 0.
1/35
Factor 2*v**2/9 - 1382*v + 12436/9.
2*(v - 6218)*(v - 1)/9
Let -4*g**5/7 - 12*g**4/7 + 4*g**3/7 + 12*g**2/7 = 0. What is g?
-3, -1, 0, 1
Factor 4*c**5 - 68*c**4 - 96*c**3 + 4032*c**2.
4*c