pose 5*d**2/2 - 78*d + 3042/5 = 0. Calculate d.
78/5
Suppose 2*m**2/11 - 4*m/11 + 2/11 = 0. Calculate m.
1
Factor -k**2/8 - 3*k/2 + 8.
-(k - 4)*(k + 16)/8
Factor 5*d**4 - 15*d**3 - 20*d**2.
5*d**2*(d - 4)*(d + 1)
Factor l**3 + 10*l**2 + 28*l + 24.
(l + 2)**2*(l + 6)
Suppose -r**3/6 + 19*r**2/6 - 29*r/2 + 39/2 = 0. Calculate r.
3, 13
Factor 36*k**2 + 93336*k + 60497284.
4*(3*k + 3889)**2
Determine u so that -2*u**3/11 + 164*u**2/11 = 0.
0, 82
Find s, given that 4*s**2/5 - 1528*s = 0.
0, 1910
Factor -2*s**4 + 13*s**3 - 15*s**2 - s + 5.
-(s - 5)*(s - 1)**2*(2*s + 1)
Suppose 3*a**5/4 - 33*a**4/4 + 81*a**3/4 - 75*a**2/4 + 6*a = 0. Calculate a.
0, 1, 8
Solve 4*a**3 + 392*a**2 + 389*a + 97 = 0 for a.
-97, -1/2
Suppose s**4/4 + 5*s**3/2 + 33*s**2/4 + 11*s + 5 = 0. What is s?
-5, -2, -1
Solve j**2/6 - 71*j/6 - 190/3 = 0.
-5, 76
Factor -10*k**2/7 - 2*k - 4/7.
-2*(k + 1)*(5*k + 2)/7
Factor 3*v**3 + 96*v**2 + 624*v + 1152.
3*(v + 4)**2*(v + 24)
What is q in 5*q**5 + 40*q**4 + 75*q**3 - 40*q**2 - 80*q = 0?
-4, -1, 0, 1
Factor -42*d**3 + 50*d**2 - 6*d - 2.
-2*(d - 1)*(3*d - 1)*(7*d + 1)
Solve -w**2 - 32*w = 0 for w.
-32, 0
Suppose 2*g**5 + 258*g**4 + 1494*g**3 + 2222*g**2 + 984*g = 0. Calculate g.
-123, -4, -1, 0
Factor 5*s**2 - 610*s + 1200.
5*(s - 120)*(s - 2)
Find q such that q**4/4 + q**3/4 - 23*q**2/4 + 39*q/4 - 9/2 = 0.
-6, 1, 3
Factor 2*w**3 - 238*w**2 + 928*w - 920.
2*(w - 115)*(w - 2)**2
Determine z so that -z**2 - 194*z - 9409 = 0.
-97
Let -14*h**2 - 160*h - 66 = 0. What is h?
-11, -3/7
Factor -5*v**3/3 - 10*v**2/3 + 5*v/3 + 10/3.
-5*(v - 1)*(v + 1)*(v + 2)/3
Suppose -d**3/7 - 135*d**2/7 - 398*d/7 - 264/7 = 0. What is d?
-132, -2, -1
Factor -l**4 - 6*l**3 + 261*l**2 + 266*l.
-l*(l - 14)*(l + 1)*(l + 19)
Factor 3*p**3 - 105*p**2 + 96*p + 204.
3*(p - 34)*(p - 2)*(p + 1)
Determine x so that -2*x**5 + 46*x**4 - 186*x**3 - 910*x**2 - 676*x = 0.
-2, -1, 0, 13
Let 2*k**5/11 + 8*k**4/11 - 6*k**3/11 - 28*k**2/11 - 16*k/11 = 0. What is k?
-4, -1, 0, 2
Factor a**3/10 - 141*a**2/5 + 20433*a/10 - 38642/5.
(a - 139)**2*(a - 4)/10
Factor 3*u**5 - 102*u**4 + 627*u**3 + 4332*u**2.
3*u**2*(u - 19)**2*(u + 4)
Factor -3*t**4 + 19*t**3 - 21*t**2 + 5*t.
-t*(t - 5)*(t - 1)*(3*t - 1)
Factor 4*z**3 - 48*z**2 - 4*z + 48.
4*(z - 12)*(z - 1)*(z + 1)
Determine b so that 35*b**5 - 290*b**4 - 2580*b**3 - 3160*b**2 + 1120*b = 0.
-4, -2, 0, 2/7, 14
Let g**2/3 - g/3 - 2 = 0. Calculate g.
-2, 3
What is z in 3*z**5 + 96*z**4 - 201*z**3 + 102*z**2 = 0?
-34, 0, 1
Solve -2*y**4 - 1676*y**3 - 354458*y**2 - 1397784*y - 1391112 = 0.
-417, -2
Find r such that -8*r**3 + 312*r**2 - 306*r + 76 = 0.
1/2, 38
Determine s so that s**3/6 + 35*s**2/6 + 48*s - 54 = 0.
-18, 1
Find l, given that -4*l**3 - 4*l**2 + 40*l - 32 = 0.
-4, 1, 2
Solve 3*n**4 - 33*n**3 + 129*n**2 - 207*n + 108 = 0 for n.
1, 3, 4
Determine b, given that 2*b**3 - 50*b**2 + 92*b = 0.
0, 2, 23
Factor -2*c**4/3 - 52*c**3/3 - 142*c**2 - 1144*c/3 - 968/3.
-2*(c + 2)**2*(c + 11)**2/3
Determine h so that -h**4 + 44*h**3 - 510*h**2 + 252*h + 6615 = 0.
-3, 5, 21
Solve 4*i**2 - 6*i/7 - 22/7 = 0 for i.
-11/14, 1
Let 6*o**2 + 22*o - 40 = 0. Calculate o.
-5, 4/3
Let -2*k**2/11 - 106*k/11 - 104/11 = 0. What is k?
-52, -1
Let -2*h**5/15 - 46*h**4/15 = 0. What is h?
-23, 0
What is o in -o**5/5 - 4*o**4/5 + 34*o**3/5 + 4*o**2/5 - 21*o - 72/5 = 0?
-8, -1, 3
Factor -5*l**2/2 + 63*l/2 + 13.
-(l - 13)*(5*l + 2)/2
Factor -z**3/5 - z**2 + z/5 + 1.
-(z - 1)*(z + 1)*(z + 5)/5
Determine l, given that 2*l**2/3 - 244*l/3 - 1270/3 = 0.
-5, 127
Suppose -b**2/8 + 107*b/2 - 11449/2 = 0. What is b?
214
Suppose -5*g**4/6 + 35*g**3/6 - 35*g**2/3 + 20*g/3 = 0. What is g?
0, 1, 2, 4
Let 3*r**5/4 - 9*r**4/4 - 15*r**3/2 - 3*r**2/2 + 27*r/4 + 15/4 = 0. Calculate r.
-1, 1, 5
Factor 4*t**5 + 12*t**4 + 12*t**3 + 4*t**2.
4*t**2*(t + 1)**3
Factor 3*t**2 + 66*t + 120.
3*(t + 2)*(t + 20)
Determine h so that 2*h**5/5 - 42*h**4/5 + 332*h**3/5 - 1212*h**2/5 + 394*h - 210 = 0.
1, 3, 5, 7
Let 4*p**3 + 4*p**2 - 16*p - 16 = 0. What is p?
-2, -1, 2
Let 27*q**5 + 642*q**4 + 3015*q**3 + 3672*q**2 - 972*q = 0. What is q?
-18, -3, 0, 2/9
Determine k so that 4*k**3/3 + 1502*k**2/9 + 580*k/3 + 496/9 = 0.
-124, -2/3, -1/2
Factor -d**2 - 40*d - 111.
-(d + 3)*(d + 37)
Factor 2*i**2 - 16*i + 24.
2*(i - 6)*(i - 2)
Determine a so that a**5 - 71*a**4 + 597*a**3 + 815*a**2 - 1342*a = 0.
-2, 0, 1, 11, 61
Factor 5*y**2 - 680*y + 1995.
5*(y - 133)*(y - 3)
Suppose 3*n**4/7 - 414*n**3/7 + 17823*n**2/7 - 244260*n/7 + 1044300/7 = 0. Calculate n.
10, 59
Find w such that 6*w**4/11 + 190*w**3/11 - 274*w**2/11 - 326*w/11 + 12 = 0.
-33, -1, 1/3, 2
Suppose -7*c**4/3 + 604*c**3/3 - 832*c**2 + 2960*c/3 - 656/3 = 0. What is c?
2/7, 2, 82
Solve -3*q**5/4 - 3*q**4 = 0 for q.
-4, 0
Solve -5*w**5 + 20*w**3 + 10*w**2 - 15*w - 10 = 0 for w.
-1, 1, 2
Suppose 3*s**4 + 6*s**3 - 240*s**2 - 486*s - 243 = 0. Calculate s.
-9, -1, 9
Factor -3*h**4 - 6*h**3 + 21*h**2 + 60*h + 36.
-3*(h - 3)*(h + 1)*(h + 2)**2
Factor -w**3/4 - 7*w**2/4 - 3*w.
-w*(w + 3)*(w + 4)/4
Factor -5*z**4 + 25*z**3 - 20*z**2.
-5*z**2*(z - 4)*(z - 1)
Factor 2*u**2 + 2964*u + 1098162.
2*(u + 741)**2
Suppose 4*b**5 - 376*b**4 - 4*b**3 + 376*b**2 = 0. Calculate b.
-1, 0, 1, 94
Factor -3*t**2 - 15*t + 252.
-3*(t - 7)*(t + 12)
Factor -4*k**2 - 8*k.
-4*k*(k + 2)
Determine k, given that 2*k**4/5 + 306*k**3/5 + 302*k**2/5 - 306*k/5 - 304/5 = 0.
-152, -1, 1
Suppose 35*x**4 + 570*x**3 - 1065*x**2 + 280*x + 180 = 0. What is x?
-18, -2/7, 1
Find m, given that 6*m**2 + 7461*m/2 - 933 = 0.
-622, 1/4
Solve -64*d**2 - 288*d - 324 = 0 for d.
-9/4
Determine y so that y**2/4 - 7*y/2 + 13/4 = 0.
1, 13
Factor 36*x**3 + 3468*x**2 - 2324*x + 388.
4*(x + 97)*(3*x - 1)**2
Factor -3*c**4 - 186*c**3 - 4143*c**2 - 39060*c - 132300.
-3*(c + 10)**2*(c + 21)**2
Solve 3*v**5/8 + 39*v**4/2 + 270*v**3 - 600*v**2 - 24000*v = 0.
-20, 0, 8
Suppose 4*g**5 + 16*g**4 - 1524*g**3 + 9584*g**2 + 1520*g - 9600 = 0. What is g?
-24, -1, 1, 10
Suppose -2*n**2/15 - 44*n/5 - 726/5 = 0. What is n?
-33
Suppose -4*f**2 - 808*f - 40804 = 0. Calculate f.
-101
Factor -4*w**2 - 75*w + 19.
-(w + 19)*(4*w - 1)
Let 2*x**5/3 + 2*x**4/3 - 2*x**3 - 2*x**2/3 + 4*x/3 = 0. What is x?
-2, -1, 0, 1
Factor -17*h**2/4 - 133*h/4 - 29.
-(h + 1)*(17*h + 116)/4
Suppose 2*f**2 - 28*f - 352 = 0. Calculate f.
-8, 22
Factor -3*c**3/2 - 117*c**2/4 - 180*c - 1425/4.
-3*(c + 5)**2*(2*c + 19)/4
Factor 2*q**2 - 156*q - 2366.
2*(q - 91)*(q + 13)
Find z, given that -z**2/5 + 14*z/5 - 24/5 = 0.
2, 12
Solve 2*k**4 + 12*k**3 - 14*k**2 = 0 for k.
-7, 0, 1
Factor 14*f**2 + 14248*f - 4072.
2*(f + 1018)*(7*f - 2)
Solve -4*d**3 + 8*d**2 + 80*d + 96 = 0 for d.
-2, 6
Suppose -2*l**5 + 12*l**4 - 16*l**3 - 32*l**2 + 96*l - 64 = 0. What is l?
-2, 2
Let -2*u**3/7 + 22*u**2/7 + 2*u/7 - 22/7 = 0. Calculate u.
-1, 1, 11
Factor -5*u**4 + 9*u**3 - 3*u**2 - u.
-u*(u - 1)**2*(5*u + 1)
Determine d so that 5*d**3/2 - 3435*d**2 + 1573230*d - 240179780 = 0.
458
Suppose -2*g**4/11 + 12*g**3/11 + 54*g**2/11 = 0. Calculate g.
-3, 0, 9
Factor 5*l**3 - 5*l**2 - 40*l + 60.
5*(l - 2)**2*(l + 3)
Factor -5*o**4 - 60*o**3 - 30*o**2 + 260*o - 165.
-5*(o - 1)**2*(o + 3)*(o + 11)
Solve 338*t**5/7 + 208*t**4 + 424*t**3/7 + 32*t**2/7 = 0 for t.
-4, -2/13, 0
Determine k, given that 125*k**4 + 615*k**3 + 825*k**2 + 305*k - 30 = 0.
-3, -1, 2/25
What is u in -5*u**4 + 45*u**3 + 560*u**2 = 0?
-7, 0, 16
Determine p, given that 3*p**2 + 453*p + 2610 = 0.
-145, -6
Determine v, given that -2*v**2/9 - 70*v/9 - 608/9 = 0.
-19, -16
Factor 2*l**2/15 + 5144*l/15 + 3307592/15.
2*(l + 1286)**2/15
Determine u, given that -2*u**2 - 418*u - 416 = 0.
-208, -1
Factor i**2/10 + 83*i/10 - 174/5.
(i - 4)*(i + 87)/10
Determine x, given that -14*x**3/5 - 576*x**2/5 + 536*x/5 + 1344/5 = 0.
-42, -8/7, 2
Find r, given that -2*r**2 + 158*r - 308 = 0.
2, 77
Factor -3*h**5 + 987*h**4 - 80685*h**3 - 81675*h**2.
-3*h**2*(h - 165)**2*(h + 1)
Factor 4*p**3/3 + 17*p**2/3 + 20*p/3 + 4/3.
(p + 2)**2*(4*p + 1)/3
Factor -2*g**4/7 + 6*g**3/7 + 20*g**2/7.
-2*g**2*(g - 5)*(g + 2)/7
Factor 2*z**2 - 2858*z - 2860.
2*(z - 1430)*(z + 1)
Determine g so that 3*g**4/4 + 1005*g**3/4 + 84669*g**2/4 + 83667*g/4 = 0.
-167, -1, 0
Factor -f**3/6 + 16*f**2/3 - 30*f - 216.
-(f - 18)**2*(f + 4)/6
What is u in -3*u**5/4 + 9*u**4/2 +