Calculate w.
420
Suppose -3*a**5/4 + 429*a**4/4 - 2427*a**3/2 + 9129*a**2/2 - 23655*a/4 + 9825/4 = 0. What is a?
1, 5, 131
Factor v**4/2 - v**2/2.
v**2*(v - 1)*(v + 1)/2
Factor 3*c**5 - 75*c**4 + 570*c**3 - 1560*c**2 + 480*c + 2688.
3*(c - 14)*(c - 4)**3*(c + 1)
What is s in -s**4/6 + 5*s**3/3 + 11*s**2/6 = 0?
-1, 0, 11
Find q, given that 2*q**2/7 + 26*q/7 = 0.
-13, 0
Determine m, given that -11*m**3 + 18*m**2 - 3*m - 4 = 0.
-4/11, 1
Factor p**3 + 55*p**2 + 199*p - 255.
(p - 1)*(p + 5)*(p + 51)
Factor 15*w**2 + 231*w + 90.
3*(w + 15)*(5*w + 2)
Factor -y**2/2 - 3*y + 135/2.
-(y - 9)*(y + 15)/2
Suppose -2*j**4 - 170*j**3 - 3696*j**2 - 3528*j = 0. Calculate j.
-42, -1, 0
What is x in 4*x**2/5 + 1852*x/5 = 0?
-463, 0
Factor -3*p**5 + 189*p**4 - 726*p**3 + 1074*p**2 - 711*p + 177.
-3*(p - 59)*(p - 1)**4
What is k in 2*k**2/23 - 58*k/23 - 124/23 = 0?
-2, 31
Suppose 4*k**4 + 100*k**3 + 828*k**2 + 2700*k + 3024 = 0. Calculate k.
-12, -7, -3
Factor -2*i**4/7 + 18*i**3/7 - 40*i**2/7.
-2*i**2*(i - 5)*(i - 4)/7
Let 2*h**2/13 - 260*h - 3382/13 = 0. Calculate h.
-1, 1691
Factor 5*i**5 + 221*i**4 + 3194*i**3 + 19250*i**2 + 43169*i + 7889.
(i + 7)**3*(i + 23)*(5*i + 1)
Factor -2*s**3/3 - 14*s**2 - 12*s + 80/3.
-2*(s - 1)*(s + 2)*(s + 20)/3
Solve -20*u**2 - 3492*u + 1400 = 0 for u.
-175, 2/5
Find r, given that r**4 + 3*r**3 - 3*r**2 - 7*r + 6 = 0.
-3, -2, 1
Factor y**2/2 - 223*y/2 + 1166.
(y - 212)*(y - 11)/2
Suppose -2*z**4/13 + 30*z**3/13 - 166*z**2/13 + 402*z/13 - 360/13 = 0. What is z?
3, 4, 5
Suppose -33*c**4/2 + 709*c**3/2 + 197*c**2 - 218*c - 44 = 0. What is c?
-1, -2/11, 2/3, 22
Factor 2*v**2/13 + 6*v/13 - 8/13.
2*(v - 1)*(v + 4)/13
Suppose j**4/3 - 208*j**3/3 + 3605*j**2 + 208*j/3 - 10816/3 = 0. Calculate j.
-1, 1, 104
Let 2*n**3 - 22*n**2 + 48*n = 0. What is n?
0, 3, 8
Factor -3*c**2/5 - 156*c/5 + 672/5.
-3*(c - 4)*(c + 56)/5
Factor 3*q**4/4 - 51*q**3/2 + 867*q**2/4.
3*q**2*(q - 17)**2/4
Factor a**2 - 280*a + 19600.
(a - 140)**2
Suppose -3*a**4/2 + 498*a**2 + 1944*a + 1920 = 0. What is a?
-16, -2, 20
Determine p, given that p**5/3 - 8*p**4/3 - 4*p**3 + 26*p**2/3 + 11*p/3 - 6 = 0.
-2, -1, 1, 9
Solve -16590*y**2 - 2825*y - 10 = 0.
-1/6, -2/553
Factor 21*o**4 + 486*o**3 + 531*o**2 + 66*o.
3*o*(o + 1)*(o + 22)*(7*o + 1)
Factor y**3/3 - 5*y**2 + 23*y/3 + 13.
(y - 13)*(y - 3)*(y + 1)/3
Suppose 338*f**2 + 4368*f + 14112 = 0. Calculate f.
-84/13
Factor -l**5/3 + 5*l**4/3 - 2*l**3 - 2*l**2/3 + 7*l/3 - 1.
-(l - 3)*(l - 1)**3*(l + 1)/3
Factor -4*i**3 - 92*i**2 + 792*i - 1440.
-4*(i - 4)*(i - 3)*(i + 30)
Find h, given that -2*h**5 + 19*h**4 + 71*h**3 - 136*h**2 + 48*h = 0.
-4, 0, 1/2, 1, 12
Factor -n**2/2 - 2*n - 3/2.
-(n + 1)*(n + 3)/2
Factor 5*t**3 + 45*t**2 + 55*t - 105.
5*(t - 1)*(t + 3)*(t + 7)
Factor 6*c**4 + 265*c**3 - 1084*c**2 + 964*c + 192.
(c - 2)**2*(c + 48)*(6*c + 1)
Let -3*y**2/7 - 192*y/7 - 27 = 0. Calculate y.
-63, -1
Let 5*j**5 + 805*j**4 + 32760*j**3 + 25540*j**2 - 265600*j - 384000 = 0. What is j?
-80, -2, 3
Let -2*t**3 + 2*t**2 + 4*t = 0. Calculate t.
-1, 0, 2
Find l, given that l**3/9 + 17*l**2/3 + 75*l + 625/9 = 0.
-25, -1
Suppose 4*p**3/3 - 64*p**2/3 - 164*p - 264 = 0. Calculate p.
-3, 22
Find v such that v**2/5 + 6*v/5 - 112/5 = 0.
-14, 8
Find x, given that 5*x**3 + 90*x**2 - 95*x = 0.
-19, 0, 1
Solve -4*v**5 + 36*v**4 + 100*v**3 - 100*v**2 - 336*v - 176 = 0 for v.
-2, -1, 2, 11
Let 14*w**3 - 20*w**2 - 82*w - 48 = 0. Calculate w.
-1, 24/7
Suppose 5*z**2 + 215*z = 0. What is z?
-43, 0
Factor 3*i**2/4 + 207*i/2 + 1995/4.
3*(i + 5)*(i + 133)/4
Suppose -2*t**2 + 376*t - 17672 = 0. Calculate t.
94
Find x such that 3*x**5 + 60*x**4 + 201*x**3 + 132*x**2 - 204*x - 192 = 0.
-16, -2, -1, 1
Factor 2*z**2 + 18*z - 20.
2*(z - 1)*(z + 10)
Find i such that i**5/4 + 3*i**4/2 = 0.
-6, 0
Find a such that 4*a**2 - 1216*a + 92416 = 0.
152
Factor j**2 - 72*j + 1296.
(j - 36)**2
Find z, given that -3*z**4 - 30*z**3 + 69*z**2 - 36*z = 0.
-12, 0, 1
Factor -2*y**2/17 + 24*y/17 + 56/17.
-2*(y - 14)*(y + 2)/17
Factor 4*k**2 + 332*k + 648.
4*(k + 2)*(k + 81)
Suppose -2*r**5/3 - 67*r**4/3 - 677*r**3/3 - 1498*r**2/3 + 4900*r/3 + 2744/3 = 0. What is r?
-14, -7, -1/2, 2
Find c, given that 3*c**2/8 + 33*c/4 + 363/8 = 0.
-11
Solve -2*u**4/5 - 4*u**3/5 + 26*u**2/5 - 4*u = 0 for u.
-5, 0, 1, 2
Find b such that 4*b**4 + 224*b**3 + 3904*b**2 + 21504*b + 36864 = 0.
-24, -4
Factor 343*b**4 - 441*b**3 - 2310*b**2 + 5300*b - 3000.
(b + 3)*(7*b - 10)**3
Factor 3*s**3 - 9*s**2 - 48*s - 36.
3*(s - 6)*(s + 1)*(s + 2)
Suppose 28*c**2 - 244*c - 72 = 0. What is c?
-2/7, 9
Solve -o**3/3 - 229*o**2/3 - 12995*o/3 + 13225/3 = 0.
-115, 1
Let 4*z**4/7 - 16*z**3/7 - 13*z**2/7 + 46*z/7 + 24/7 = 0. What is z?
-3/2, -1/2, 2, 4
What is b in -21*b**5 + 309*b**4 - 876*b**3 - 2292*b**2 + 2112*b + 768 = 0?
-2, -2/7, 1, 8
Factor 5*n**4 + 40*n**3 + 75*n**2 - 20*n - 100.
5*(n - 1)*(n + 2)**2*(n + 5)
Let -4*a**4 - 104*a**3 - 288*a**2 - 280*a - 92 = 0. What is a?
-23, -1
Factor -3*m**5/8 - 3*m**4/2 - 15*m**3/8 - 3*m**2/4.
-3*m**2*(m + 1)**2*(m + 2)/8
Factor 2*z**3 + 930*z**2 + 108576*z + 107648.
2*(z + 1)*(z + 232)**2
Factor -h**4 - 28*h**3 - 151*h**2 + 180*h.
-h*(h - 1)*(h + 9)*(h + 20)
Determine z, given that -3*z**2 - 288*z = 0.
-96, 0
Let -4*w**4 - 12*w**3 + 36*w**2 - 20*w = 0. Calculate w.
-5, 0, 1
Factor -c**2 + 57*c.
-c*(c - 57)
Suppose l**4/2 + 13*l**3/2 + 16*l**2 + 10*l = 0. What is l?
-10, -2, -1, 0
Find o such that -2*o**2/9 + 16*o/9 - 32/9 = 0.
4
Factor 134*l**3 - 4*l**2.
2*l**2*(67*l - 2)
Solve -z**3/4 - z**2/2 = 0.
-2, 0
Find v, given that -3*v**3/7 + 972*v**2/7 - 78732*v/7 = 0.
0, 162
Find c, given that 65*c**5 - 140*c**4 - 435*c**3 + 1370*c**2 - 980*c + 120 = 0.
-3, 2/13, 1, 2
Factor -m**3 - 2694*m**2 - 2419212*m - 724150792.
-(m + 898)**3
Factor -14*g**3/15 + 10*g**2/3 - 32*g/15 - 8/5.
-2*(g - 2)**2*(7*g + 3)/15
Factor -2*j**2/7 - 22*j/7 - 20/7.
-2*(j + 1)*(j + 10)/7
Find k such that 2*k**5/15 + 44*k**4/15 + 214*k**3/15 + 364*k**2/15 + 64*k/5 = 0.
-16, -3, -2, -1, 0
Factor -2*f**4/11 + 20*f**3/11 - 72*f**2/11 + 108*f/11 - 54/11.
-2*(f - 3)**3*(f - 1)/11
Factor 9*r**3 - 105*r**2 + 174*r.
3*r*(r - 2)*(3*r - 29)
Determine i, given that 3*i**3 - 342*i**2 - 7740*i - 40200 = 0.
-10, 134
Let -3*o**3/7 - 249*o**2/7 + 225*o - 2403/7 = 0. What is o?
-89, 3
Suppose -v**3/7 - 34*v**2/7 + 72*v/7 = 0. What is v?
-36, 0, 2
Determine u so that -2*u**2 + 730*u + 4452 = 0.
-6, 371
Solve 8*y**3/5 + 6*y**2 - 176*y/5 + 42/5 = 0.
-7, 1/4, 3
Factor y**5 - 10*y**4 - 287*y**3 - 276*y**2.
y**2*(y - 23)*(y + 1)*(y + 12)
Factor -364*x**2 + 48*x + 16.
-4*(7*x - 2)*(13*x + 2)
Factor 3*a**2 - 42*a + 135.
3*(a - 9)*(a - 5)
Let q**4 + 9*q**3 + 4*q**2 - 36*q - 32 = 0. What is q?
-8, -2, -1, 2
Find b, given that -5*b**2/3 + 1930*b/3 - 186245/3 = 0.
193
Factor -2*w**3/13 + 8*w**2/13 + 22*w/13 + 12/13.
-2*(w - 6)*(w + 1)**2/13
Determine j, given that 1875*j**4 + 388425*j**3 - 327888*j**2 - 59916*j - 2496 = 0.
-208, -2/25, 1
Factor 4*j**3/9 - 2*j**2/9 - 26*j/9 - 4/3.
2*(j - 3)*(j + 2)*(2*j + 1)/9
Factor s**3/3 - 5*s**2 - 118*s/3 - 56.
(s - 21)*(s + 2)*(s + 4)/3
Let g**4/4 + g**3/4 - 3*g**2 - 7*g - 4 = 0. What is g?
-2, -1, 4
Factor v**5 - 3*v**4 - v**3 + 7*v**2 - 4.
(v - 2)**2*(v - 1)*(v + 1)**2
Find r such that -2*r**2 - 11228*r - 15758498 = 0.
-2807
Factor 3*b**2/2 + 1953*b/2.
3*b*(b + 651)/2
What is z in 4*z**3 + 68*z**2 - 72*z = 0?
-18, 0, 1
Factor i**4 - 11*i**3 + 19*i**2 - 9*i.
i*(i - 9)*(i - 1)**2
Factor -2*m**2 - 14*m + 156.
-2*(m - 6)*(m + 13)
Solve -2*t**3 - 56*t**2 - 154*t - 100 = 0 for t.
-25, -2, -1
Solve 4*i**2 + 492*i - 496 = 0.
-124, 1
Factor 3*h**3/8 - 63*h**2/2 + 882*h - 8232.
3*(h - 28)**3/8
Let -3*a**4/2 + 15*a**2/2 - 6 = 0. Calculate a.
-2, -1, 1, 2
Factor y**2/5 - 79*y/5.
y*(y - 79)/5
Factor -22*o**2 + 78*o - 36.
-2*(o - 3)*(11*o - 6)
Factor 4*t**3/9 + 8*t**2/9.
4*t**2*(t + 2)/9
Solve 4*b**3 - 28*b**2 - 56*b + 192 = 0.
-3, 2, 8
Suppose -5*h**5 - 10*h**4 + 5*h**3 + 10*h**2 = 0. What is h?
-2, -1, 0, 1
Factor 2*b**3/17 - 6*b**2/17 - 2*b/17 + 6/17.
2*(b - 3)*(b - 1)*(b + 1)/17
Factor 4*t**4/11 - 6*t**3/11 + 2*t/11.
2*t*(t - 1)**2*(2*t + 1)/11
Solve -12*m**4/7 - 255*m**3/7 - 1203*m**2/7 - 1185*m/7 - 225/7 = 0.
-15, -5, -1, -1/4
Factor 5*f**3 + 50*f**2 + 115*f + 70.
5*(f + 1)*(f + 2)*(f + 7)
Determine l 