alculate p.
-1/4, 1, 12
What is j in j**4 - 71*j**3/2 + 449*j**2/2 + 1620*j + 1800 = 0?
-3, -3/2, 20
Factor 25*q**2 - 90*q + 80.
5*(q - 2)*(5*q - 8)
Factor 4*d**3 + 364*d**2 + 8460*d + 8100.
4*(d + 1)*(d + 45)**2
Determine a, given that 5*a**2 + 430*a - 435 = 0.
-87, 1
Solve -18*t**5 + 111*t**4 + 192*t**3 - 1254*t**2 - 1110*t - 225 = 0.
-3, -1/2, -1/3, 5
Let 32*g**4/7 - 166*g**3/7 + 18*g**2 + 270*g/7 - 54/7 = 0. Calculate g.
-1, 3/16, 3
What is k in 4*k**3 + 15284*k**2 - 30580*k + 15292 = 0?
-3823, 1
Determine i, given that 4*i**5 - 24*i**4 + 40*i**3 - 44*i + 24 = 0.
-1, 1, 2, 3
Let -3*a**2 - 1020*a - 86700 = 0. Calculate a.
-170
Factor r**3/3 + 17*r**2 + 225*r + 625/3.
(r + 1)*(r + 25)**2/3
Suppose 8*f**5 - 12*f**4 - 247*f**3/2 - 193*f**2/2 + 72*f - 10 = 0. Calculate f.
-2, 1/4, 5
Find q, given that -3*q**3 - 336*q**2 - 9735*q - 18150 = 0.
-55, -2
Suppose -2*q**2/15 + 52*q/5 - 528/5 = 0. Calculate q.
12, 66
Factor 405*i**3 + 1260*i**2 + 980*i.
5*i*(9*i + 14)**2
Factor 6*o**2 - 13*o + 6.
(2*o - 3)*(3*o - 2)
Factor -o**4/6 - 107*o**3/6 - 589*o**2 - 12274*o/3 + 192052/3.
-(o - 7)*(o + 38)**3/6
What is z in -110450*z**2 - 5640*z - 72 = 0?
-6/235
Factor -2*y**2/7 - 158*y/7 - 1920/7.
-2*(y + 15)*(y + 64)/7
Determine y so that -2*y**3 + 12*y**2 - 10*y = 0.
0, 1, 5
Factor -3*x**3/8 - 3*x**2 - 3*x/8 + 63/4.
-3*(x - 2)*(x + 3)*(x + 7)/8
Let -3*c**2 - 296*c - 196 = 0. What is c?
-98, -2/3
Find s, given that 135*s**4 + 549*s**3 + 645*s**2 + 267*s + 36 = 0.
-12/5, -1, -1/3
Solve -36*l**5 + 192*l**4 + 680*l**3 + 672*l**2 + 252*l + 32 = 0.
-1, -1/3, 8
Let -3*c**5 - 9*c**4 + 45*c**3 - 51*c**2 + 18*c = 0. Calculate c.
-6, 0, 1
Solve 4*i**2 - 288*i - 292 = 0 for i.
-1, 73
Determine z so that -24*z**4 - 1132*z**3 + 2132*z**2 - 1172*z + 196 = 0.
-49, 1/3, 1/2, 1
Find h such that 2*h**3 + 32*h**2 + 30*h = 0.
-15, -1, 0
Find z such that 2*z**3/9 - 94*z**2/3 - 784*z/3 - 4768/9 = 0.
-4, 149
Solve 3*r**2 - 1920*r + 307200 = 0 for r.
320
Find p such that 5*p**4 - 570*p**3 - 575*p**2 = 0.
-1, 0, 115
Factor s**2/6 + 53*s/3 + 2809/6.
(s + 53)**2/6
Let i**5/2 - 3*i**3/2 - i**2 = 0. Calculate i.
-1, 0, 2
Find d, given that 36*d**3 + 152*d**2 + 140*d + 24 = 0.
-3, -1, -2/9
Factor 3*h**2 + 10776*h + 9676848.
3*(h + 1796)**2
Factor -4*k**3 - 24*k**2 + 64*k.
-4*k*(k - 2)*(k + 8)
Factor 5*p**2 - 2545*p + 2540.
5*(p - 508)*(p - 1)
Factor 5*n**3 + 335*n**2 + 5075*n - 18375.
5*(n - 3)*(n + 35)**2
Factor -2*k**4/5 + 2*k**3/5 + 16*k**2/5 - 24*k/5.
-2*k*(k - 2)**2*(k + 3)/5
Determine h so that -2*h**3/3 + 640*h**2/3 - 1274*h/3 + 212 = 0.
1, 318
Solve -3*s**3/5 - 101*s**2/5 + 34*s/5 = 0 for s.
-34, 0, 1/3
Factor g**3 - 15*g**2 + 27*g - 13.
(g - 13)*(g - 1)**2
What is s in -2*s**5 - 8*s**4 + 4*s**3 + 16*s**2 - 2*s - 8 = 0?
-4, -1, 1
Factor 10*a**5 + 15*a**4 - 15*a**3 - 35*a**2 - 15*a.
5*a*(a + 1)**3*(2*a - 3)
Suppose -5*w**2 - 1960*w = 0. Calculate w.
-392, 0
Solve -16*j**5/7 + 284*j**4/7 + 680*j**3/7 - 884*j**2/7 - 1328*j/7 + 1264/7 = 0 for j.
-2, 1, 79/4
Determine t so that t**5/5 + t**4/5 - 12*t**3/5 - 28*t**2/5 - 16*t/5 = 0.
-2, -1, 0, 4
Factor 4*b**5 - 28*b**4/5 + 13*b**3/5 - 2*b**2/5.
b**2*(2*b - 1)**2*(5*b - 2)/5
Let -3*s**2/4 - 534*s - 95052 = 0. Calculate s.
-356
Find t, given that -57*t**3/5 - 231*t**2/5 + 402*t/5 + 576/5 = 0.
-96/19, -1, 2
Factor 774*j**3/5 - 4642*j**2/5 + 6954*j/5 + 18/5.
2*(j - 3)**2*(387*j + 1)/5
Find y such that 3*y**4 - 12*y**3 + 15*y**2 - 6*y = 0.
0, 1, 2
Factor 2*v**4/9 - 2*v**3/3 - 10*v**2/9 + 2*v/3 + 8/9.
2*(v - 4)*(v - 1)*(v + 1)**2/9
Find g such that -60*g**5 + 556*g**4 - 588*g**3 - 188*g**2 + 216*g + 64 = 0.
-2/5, -1/3, 1, 8
Let -4*c**3 - 1268*c**2 - 5024*c - 5008 = 0. What is c?
-313, -2
Factor 4*j**4 - 88*j**3 - 12*j**2 + 256*j + 176.
4*(j - 22)*(j - 2)*(j + 1)**2
Let x**5 - 13*x**4/3 - x**3/3 + 7*x**2 - 2*x/3 - 8/3 = 0. What is x?
-1, -2/3, 1, 4
Suppose -3*s**4 - 15*s**3 + 126*s**2 - 228*s + 120 = 0. What is s?
-10, 1, 2
Find b such that 4*b**2 + 12*b + 8 = 0.
-2, -1
Determine g, given that 5*g**4 - 40*g**3 + 35*g**2 = 0.
0, 1, 7
Determine f so that 2*f**4 - 96*f**3 + 92*f**2 + 96*f - 94 = 0.
-1, 1, 47
Suppose -65*q**4 - 335*q**3 - 570*q**2 - 340*q - 40 = 0. What is q?
-2, -1, -2/13
Determine w, given that -34*w**5 + 176*w**4 - 132*w**3 - 288*w**2 + 54*w = 0.
-1, 0, 3/17, 3
Factor 24*b**4 - 3*b**3 - 24*b**2 + 3*b.
3*b*(b - 1)*(b + 1)*(8*b - 1)
Factor 2*i**4/9 + 68*i**3/9 + 242*i**2/9 - 1904*i/3 + 1568.
2*(i - 4)**2*(i + 21)**2/9
Factor -2*l**3/11 + 284*l**2/11.
-2*l**2*(l - 142)/11
Factor 170*c**3/13 - 4*c**2/13.
2*c**2*(85*c - 2)/13
Factor -2*n**3/9 - 4*n**2/3 - 8*n/3 - 16/9.
-2*(n + 2)**3/9
Factor -3*m**4 + 21*m**3 + 9*m**2 - 165*m - 150.
-3*(m - 5)**2*(m + 1)*(m + 2)
Determine l, given that -4*l**5 + 64*l**4 - 240*l**3 - 88*l**2 + 820*l + 600 = 0.
-1, 3, 5, 10
Factor -2*y**4 + 16*y**3 - 42*y**2 + 44*y - 16.
-2*(y - 4)*(y - 2)*(y - 1)**2
Factor 5*v**2 + 20390*v + 20787605.
5*(v + 2039)**2
What is c in -3*c**4/7 - 15*c**3/7 + 3*c**2 + 87*c/7 - 90/7 = 0?
-5, -3, 1, 2
Let 2*p**3/3 + 6*p**2 + 40*p/3 = 0. What is p?
-5, -4, 0
Factor -2*x**5/5 - 2*x**4/5 + 12*x**3/5 + 28*x**2/5 + 22*x/5 + 6/5.
-2*(x - 3)*(x + 1)**4/5
Factor -2*w**3/9 + 10*w**2/3 - 8*w/3 - 56/9.
-2*(w - 14)*(w - 2)*(w + 1)/9
Solve 4*m**3/5 + 44*m**2/5 + 144*m/5 + 144/5 = 0 for m.
-6, -3, -2
Let 212*o**2/3 - 70*o - 2/3 = 0. What is o?
-1/106, 1
Find c such that -49*c**5 + 280*c**4 - 358*c**3 - 120*c**2 - 9*c = 0.
-1/7, 0, 3
Determine l so that -2*l**5/5 + 38*l**3/5 + 4*l**2/5 - 96*l/5 - 64/5 = 0.
-4, -1, 2, 4
Factor o**2 - 256*o + 16384.
(o - 128)**2
What is j in 2*j**5/3 + 16*j**4/3 + 4*j**3 - 80*j**2/3 + 50*j/3 = 0?
-5, 0, 1
Factor 8*c**5/7 + 88*c**4/7 + 30*c**3 + 144*c**2/7.
2*c**2*(c + 8)*(2*c + 3)**2/7
Suppose -n**3/4 + 17*n**2/2 - 289*n/4 = 0. Calculate n.
0, 17
Solve 1445*v**2 + 32640*v + 184320 = 0 for v.
-192/17
Suppose 5*f**3 - 205*f**2 - 20*f + 820 = 0. Calculate f.
-2, 2, 41
Suppose -4*w**2 + 296*w - 2112 = 0. Calculate w.
8, 66
Factor -2*w**2 + 120*w - 1800.
-2*(w - 30)**2
What is w in w**2/4 + 2559*w/2 + 6548481/4 = 0?
-2559
Solve -2*y**2 + 37*y = 0 for y.
0, 37/2
Factor 2*a**2/7 + 54*a - 380/7.
2*(a - 1)*(a + 190)/7
Factor 2*c**5/5 - 6*c**4/5 + 6*c**3/5 - 2*c**2/5.
2*c**2*(c - 1)**3/5
Suppose -25*n**3/3 + 55*n**2/3 = 0. Calculate n.
0, 11/5
Let -2*u**4 + 144*u**3 - 2988*u**2 + 14256*u - 19602 = 0. Calculate u.
3, 33
Factor j**4/9 - 475*j**3/9 + 56168*j**2/9 + 56644*j/9.
j*(j - 238)**2*(j + 1)/9
Find h such that -h**3/2 - 2*h**2 + 85*h/2 + 44 = 0.
-11, -1, 8
Factor z**2 + 5*z + 4.
(z + 1)*(z + 4)
Factor 2*i**3 - 128*i.
2*i*(i - 8)*(i + 8)
Determine p so that -p**5/2 - 7*p**4/2 - 7*p**3/2 + 23*p**2/2 + 22*p + 10 = 0.
-5, -2, -1, 2
Suppose 4*t**4/9 - 8*t**3/9 - 20*t**2/9 + 8*t/3 = 0. Calculate t.
-2, 0, 1, 3
Solve -2*c**4/5 + 8*c**3/5 - 6*c**2/5 = 0 for c.
0, 1, 3
Find k, given that 2*k**5/11 - 30*k**4/11 + 10*k**3 + 30*k**2/11 - 112*k/11 = 0.
-1, 0, 1, 7, 8
Factor -5*n**3 + 30*n**2 - 45*n.
-5*n*(n - 3)**2
Factor -4*h**4/5 + 72*h**3/5 - 324*h**2/5.
-4*h**2*(h - 9)**2/5
Suppose -2*j**4/13 + 38*j**3/13 - 62*j**2/13 - 102*j/13 = 0. Calculate j.
-1, 0, 3, 17
Factor -l**5/3 - 2*l**4/3 + 72*l**3 + 720*l**2 + 2448*l + 2592.
-(l - 18)*(l + 2)*(l + 6)**3/3
Find m, given that -4*m**2 + 4*m + 360 = 0.
-9, 10
Suppose -2*c**3/15 + 16*c**2/5 + 72*c/5 + 224/15 = 0. Calculate c.
-2, 28
What is r in 2*r**5/19 - 24*r**4/19 - 116*r**3/19 - 184*r**2/19 - 126*r/19 - 32/19 = 0?
-1, 16
Let d**4/4 - 61*d**3/4 + 105*d**2 + 8036*d - 126224 = 0. What is d?
-23, 28
Find p, given that -p**5/2 + 17*p**3/2 - 8*p = 0.
-4, -1, 0, 1, 4
Factor 18*y**5 - 48*y**4 + 26*y**3 - 4*y**2.
2*y**2*(y - 2)*(3*y - 1)**2
Factor -2*y**2/7 - 86*y/7 + 88/7.
-2*(y - 1)*(y + 44)/7
Factor -287*d**2/3 + 863*d/3 - 2.
-(d - 3)*(287*d - 2)/3
Solve -400*v**5 - 232*v**4 + 159*v**3 - 11*v**2 - 2*v = 0 for v.
-1, -2/25, 0, 1/4
Let i**2 - 302*i + 22801 = 0. What is i?
151
Determine f so that 4*f**2 - 1040*f + 67600 = 0.
130
Factor -2*h**2/11 + 2*h/11 + 12/11.
-2*(h - 3)*(h + 2)/11
Factor -4*j**4 - 244*j**3 + 1636*j**2 + 1876*j.
-4*j*(j - 7)*(j + 1)*(j + 67)
Factor 3*l**3/5 + 63*l**2/5 + 117*l/5 + 57/5.
3*(l + 1)**2*(l + 19)/5
Factor 5*f**3 - 115*f**2 + 310*f - 200.
5*(f - 20)*(f - 2)*(f - 1)
Factor -5*x**2 - 9100*x - 4140500.
-