+ 22707*q/7 - 22734/7 = 0. Calculate q.
-842, 3
Factor l**2 - 84*l + 1764.
(l - 42)**2
Factor -38*y**2/5 - 984*y/5 + 104/5.
-2*(y + 26)*(19*y - 2)/5
Solve 20*o**4 - 9340*o**3 + 1095105*o**2 - 1088110*o + 271445 = 0.
1/2, 233
Factor 2*z**5/7 + 76*z**4/7.
2*z**4*(z + 38)/7
Determine j, given that 3*j**4/2 + 15*j**3/2 - 21*j**2/2 - 15*j/2 + 9 = 0.
-6, -1, 1
Factor -n**2/2 + 3*n/2 + 5.
-(n - 5)*(n + 2)/2
Factor -14*l**5 - 32*l**4 - 8*l**3.
-2*l**3*(l + 2)*(7*l + 2)
Determine q, given that -44*q**2 + 84*q + 8 = 0.
-1/11, 2
Factor -5*a**2 + 2110*a - 2105.
-5*(a - 421)*(a - 1)
Determine x so that -3*x**4/4 + 147*x**3/4 + 327*x**2/4 - 1083*x/4 + 153 = 0.
-4, 1, 51
Determine j, given that -2*j**2 + 6*j + 56 = 0.
-4, 7
Factor -4*a**4/9 + 8*a**3/9 + 4*a**2/3 - 16*a/9 - 16/9.
-4*(a - 2)**2*(a + 1)**2/9
Let -b**4 + b**3 + 4*b**2 - 4*b = 0. What is b?
-2, 0, 1, 2
Determine v so that -2*v**4/7 - 16*v**3/7 + 38*v**2/7 - 20*v/7 = 0.
-10, 0, 1
Factor s**2/4 + 15*s + 225.
(s + 30)**2/4
Suppose s**2/2 - 7*s/4 - 15/2 = 0. Calculate s.
-5/2, 6
Let k**3 - 10*k**2 - k + 10 = 0. What is k?
-1, 1, 10
Factor -2*n**5/11 - 24*n**4/11 - 76*n**3/11 - 104*n**2/11 - 6*n - 16/11.
-2*(n + 1)**4*(n + 8)/11
Solve -75*v**5/8 - 45*v**4 + 573*v**3/8 + 81*v**2/4 - 57*v/2 - 9 = 0.
-6, -2/5, 1
Factor -2*b**3 + 38*b**2 + 40*b.
-2*b*(b - 20)*(b + 1)
Determine i, given that 2*i**5 + 306*i**4 + 2405*i**3/2 + 1570*i**2 + 1641*i/2 + 149 = 0.
-149, -2, -1, -1/2
Factor d**5/2 - 28*d**4 + 333*d**3 + 1172*d**2 + 2461*d/2 + 420.
(d - 35)*(d - 24)*(d + 1)**3/2
Factor -4*f**5 - 8*f**4 + 12*f**3.
-4*f**3*(f - 1)*(f + 3)
Solve b**2/7 - 11044*b/7 + 30492484/7 = 0.
5522
Let m**2/6 - 158*m + 37446 = 0. What is m?
474
Let 5*t**5 - 35*t**4 - 10*t**3 + 70*t**2 + 5*t - 35 = 0. What is t?
-1, 1, 7
Factor 4*p**2 + 228*p - 232.
4*(p - 1)*(p + 58)
Factor -z**5 - 22*z**4 - 16*z**3 + 102*z**2 - 63*z.
-z*(z - 1)**2*(z + 3)*(z + 21)
Factor -2*y**3/11 - 2*y**2 - 20*y/11 + 144/11.
-2*(y - 2)*(y + 4)*(y + 9)/11
Factor -5*c**4 - 70*c**3 + 240*c**2 - 250*c + 85.
-5*(c - 1)**3*(c + 17)
Determine c, given that -2*c**5/3 - 4*c**4/3 + 88*c**3/3 + 140*c**2/3 - 950*c/3 - 1000/3 = 0.
-5, -1, 4, 5
Factor -5*r**3 + 350*r**2 - 345*r.
-5*r*(r - 69)*(r - 1)
Factor -3*c**3 - 30*c**2 + 147*c + 390.
-3*(c - 5)*(c + 2)*(c + 13)
Factor -4*a**2 + 36*a - 80.
-4*(a - 5)*(a - 4)
Solve -i**3 + 61*i**2 - 960*i + 900 = 0.
1, 30
Factor -2*c**2/9 + 4*c/3 - 16/9.
-2*(c - 4)*(c - 2)/9
Factor -2*v**3/3 - 9790*v**2/3 - 3991872*v + 3995136.
-2*(v - 1)*(v + 2448)**2/3
Factor z**2 - 9*z + 18.
(z - 6)*(z - 3)
Suppose 3*m**4 + 210*m**3 + 3672*m**2 - 210*m - 3675 = 0. Calculate m.
-35, -1, 1
Find p such that -4*p**3 - 28*p**2 + 20*p + 300 = 0.
-5, 3
Find f such that -f**2/3 + 6*f - 15 = 0.
3, 15
Factor -4*s**3 + 56*s**2 + 140*s - 192.
-4*(s - 16)*(s - 1)*(s + 3)
Let 9*l**5 - 12*l**4 - 42*l**3 - 12*l**2 + 9*l = 0. What is l?
-1, 0, 1/3, 3
Find i, given that -162*i**5 - 576*i**4 + 1414*i**3 + 1084*i**2 - 664*i + 80 = 0.
-5, -1, 2/9, 2
Suppose -18*f**5 - 108*f**4 - 154*f**3 + 48*f**2 + 72*f = 0. What is f?
-3, -2/3, 0, 2/3
Factor 4*g**2 - 56*g + 96.
4*(g - 12)*(g - 2)
Let -4*j**4 - 64*j**3 - 352*j**2 - 768*j - 576 = 0. What is j?
-6, -2
Factor -33*s**2 - 108*s - 27.
-3*(s + 3)*(11*s + 3)
Solve 18*p**4/17 + 60*p**3/17 + 2*p**2/17 - 56*p/17 - 24/17 = 0 for p.
-3, -2/3, 1
What is f in -8*f**5/5 - 58*f**4/5 - 14*f**3/5 = 0?
-7, -1/4, 0
Factor -2*q**3 + 494*q**2 + 2000*q + 2008.
-2*(q - 251)*(q + 2)**2
Factor a**2 - 252*a.
a*(a - 252)
Let q**3/3 + q**2/3 - q/3 - 1/3 = 0. What is q?
-1, 1
Factor 3*s**2 + 60*s - 207.
3*(s - 3)*(s + 23)
Factor 622*j**2 - 1232*j - 24.
2*(j - 2)*(311*j + 6)
Let p**2/5 - 134*p/5 - 27 = 0. What is p?
-1, 135
Factor -3*f**3/2 - 105*f**2 - 3219*f/2 + 8214.
-3*(f - 4)*(f + 37)**2/2
Determine r so that 2*r**5/3 + 26*r**4/3 + 26*r**3/3 - 202*r**2/3 - 28*r/3 + 176/3 = 0.
-11, -4, -1, 1, 2
Factor 3*h**4/4 - 54*h**3 - 441*h**2/4 - 111*h/2.
3*h*(h - 74)*(h + 1)**2/4
Solve 5*s**2 - 4430*s - 4435 = 0.
-1, 887
Find o such that 4*o**2 - 112*o = 0.
0, 28
Suppose -12*b**4 + 68*b**3 + 116*b**2 - 20*b - 56 = 0. Calculate b.
-1, 2/3, 7
Determine x, given that 3*x**5 + 6*x**4 - 39*x**3 - 114*x**2 - 72*x = 0.
-3, -2, -1, 0, 4
Factor -3*o**3/7 + 3*o**2/7 + 6*o/7.
-3*o*(o - 2)*(o + 1)/7
Find p such that p**3/6 + 17*p**2/6 + 31*p/6 + 5/2 = 0.
-15, -1
Find q, given that -4*q**4 + 16*q**3 + 4*q**2 - 64*q + 48 = 0.
-2, 1, 2, 3
Determine t so that 4*t**5 + 516*t**4 + 14748*t**3 - 121348*t**2 + 272544*t - 166464 = 0.
-68, 1, 3
Suppose 13*c**2/3 + c/3 - 4 = 0. Calculate c.
-1, 12/13
Suppose -5*t**2 - 115*t - 300 = 0. Calculate t.
-20, -3
Factor 4*z**5 - 12*z**4 - 4*z**3 + 44*z**2 - 48*z + 16.
4*(z - 2)*(z - 1)**3*(z + 2)
Let -v**5/3 - 34*v**4/3 - 244*v**3/3 + 198*v**2 - 105*v = 0. What is v?
-21, -15, 0, 1
Solve -5*x**2 + 350*x + 5880 = 0.
-14, 84
Suppose 12*q**2 + 33752*q - 11252 = 0. Calculate q.
-2813, 1/3
Factor -p**2/5 - 40*p - 2000.
-(p + 100)**2/5
Factor -396*o**2 - 404*o - 8.
-4*(o + 1)*(99*o + 2)
Let i**3 + 30*i**2 + 252*i + 392 = 0. What is i?
-14, -2
Factor -3*j**4 + 840*j**3 - 88200*j**2 + 4116000*j - 72030000.
-3*(j - 70)**4
Factor c**3/3 - c**2/3 - 40*c/3 + 112/3.
(c - 4)**2*(c + 7)/3
Factor -3*x**3 - 876*x**2.
-3*x**2*(x + 292)
Let -2*w**5/13 - 16*w**4/13 - 32*w**3/13 + 36*w**2/13 + 162*w/13 + 108/13 = 0. What is w?
-3, -1, 2
Find b, given that b**4/4 + 5*b**3 + 95*b**2/4 + 10*b - 39 = 0.
-13, -6, -2, 1
Factor 5*y**4 - 15*y**3 - 25*y**2 + 15*y + 20.
5*(y - 4)*(y - 1)*(y + 1)**2
Suppose -r**3/2 + 33*r**2/2 + 69*r/2 + 35/2 = 0. Calculate r.
-1, 35
Determine r, given that -6*r**3 + 38*r**2 + 208*r + 120 = 0.
-3, -2/3, 10
Factor -2*j**4/7 + 216*j**3 - 61236*j**2 + 7715736*j - 364568526.
-2*(j - 189)**4/7
What is i in 4*i**4 + 32*i**3 - 512*i**2 = 0?
-16, 0, 8
Suppose -12*j**5 + 176*j**4 - 320*j**3/3 - 704*j**2/9 + 448*j/9 = 0. Calculate j.
-2/3, 0, 2/3, 14
Suppose -2*t**2/7 - 26*t/7 - 24/7 = 0. What is t?
-12, -1
Let 7*x**5 - 47*x**4 + 14*x**3 + 92*x**2 + 24*x = 0. Calculate x.
-1, -2/7, 0, 2, 6
What is a in 2*a**4/5 + 2*a**3 - 14*a**2/5 - 2*a + 12/5 = 0?
-6, -1, 1
Factor -2*b**3/7 + 1158*b**2/7 + 500*b - 4656/7.
-2*(b - 582)*(b - 1)*(b + 4)/7
Solve -y**3/4 - 3*y**2/4 + 4*y + 12 = 0.
-4, -3, 4
Let m**5 - 13*m**4 + 7*m**3 + 57*m**2 + 36*m = 0. Calculate m.
-1, 0, 3, 12
Suppose w**2/5 + 7*w/5 = 0. Calculate w.
-7, 0
Factor 2*w**5 - 8*w**4 - 6*w**3 + 28*w**2 - 16*w.
2*w*(w - 4)*(w - 1)**2*(w + 2)
Let -2*x**3/5 - 3738*x**2/5 - 2328774*x/5 - 483608734/5 = 0. Calculate x.
-623
Let -u**3/6 - 16*u**2 - 63*u/2 - 47/3 = 0. What is u?
-94, -1
Find g such that -g**4/4 + g**3/4 + 3*g**2/2 = 0.
-2, 0, 3
Suppose -2*i**4 - 44*i**3 + 510*i**2 - 1448*i + 1240 = 0. What is i?
-31, 2, 5
Find w, given that 2*w**4/7 - 8*w**3 + 324*w**2/7 - 648*w/7 + 54 = 0.
1, 3, 21
Factor -2*c**3 - 324*c**2 - 17496*c - 314928.
-2*(c + 54)**3
Solve 2*d**2/15 + 28*d/15 - 2 = 0 for d.
-15, 1
Factor y**2/3 - 8*y/3 + 7/3.
(y - 7)*(y - 1)/3
Factor -p**3 - 27*p**2.
-p**2*(p + 27)
Solve -3*n**4/5 - 6*n**3/5 + 6*n/5 + 3/5 = 0.
-1, 1
Find z such that -z**3 = 0.
0
Determine y, given that y**2 + 298*y + 297 = 0.
-297, -1
Find x, given that -3*x**5 - 24*x**4 - 21*x**3 = 0.
-7, -1, 0
Solve -c**4/8 + 129*c**3/8 + 393*c**2/8 + 395*c/8 + 33/2 = 0 for c.
-1, 132
Suppose 4*u**4 - 1412*u**3 + 1404*u**2 + 1412*u - 1408 = 0. What is u?
-1, 1, 352
Factor -2*h**2/3 + 8/3.
-2*(h - 2)*(h + 2)/3
Determine x, given that -8*x**2/7 - 298*x + 522/7 = 0.
-261, 1/4
Find f, given that 3*f**4/5 - 252*f**3/5 + 99*f**2 - 246*f/5 = 0.
0, 1, 82
Factor 4*p**3 + 400*p**2 + 1924*p + 2280.
4*(p + 2)*(p + 3)*(p + 95)
Determine f, given that -15*f**4 - 25*f**3 + 25*f**2 + 25*f - 10 = 0.
-2, -1, 1/3, 1
Factor 5*i**5 + 15*i**4 - 20*i**2.
5*i**2*(i - 1)*(i + 2)**2
Factor -3*v**2/4 + 39*v/4 + 36.
-3*(v - 16)*(v + 3)/4
Solve 2*k**4/7 + 12*k**3/7 + 2*k**2 - 12*k/7 - 16/7 = 0 for k.
-4, -2, -1, 1
Suppose -k**5/3 + 13*k**4/3 - 16*k**3 + 12*k**2 = 0. What is k?
0, 1, 6
Let -f**2/9 - 3476*f/9 - 3020644/9 = 0. Calculate f.
-1738
Determine i, given that -2*i**2/9 - 758*i/3 + 2276/9 = 0.
-1138, 1
Solve 5*f**3/3 + 2*f**2/3 - 20*f/3 - 8/3 = 0 for f.
-2, -2/5, 2
Factor -10*p**2 + 45*p - 20.
-5*(p - 4)*(2*p - 1)
Factor -b**2/4 - 103*b/4 - 51/2.
-(