)/4
Let 5*b**2 - 350*b - 1095 = 0. Calculate b.
-3, 73
Let c**5 + 87*c**4/5 + 221*c**3/5 + 57*c**2/5 - 226*c/5 - 144/5 = 0. Calculate c.
-72/5, -2, -1, 1
Factor 9*y**3 + 24*y**2 - 99*y + 30.
3*(y - 2)*(y + 5)*(3*y - 1)
Factor 48*r**3 + 312*r**2 + 675*r + 486.
3*(r + 2)*(4*r + 9)**2
Factor 2*u**3/9 + 644*u**2/9 - 1294*u/9 + 72.
2*(u - 1)**2*(u + 324)/9
Factor f**2/2 + 12*f + 135/2.
(f + 9)*(f + 15)/2
Find n such that -6*n**3 + 3237*n**2 + 1620*n = 0.
-1/2, 0, 540
Find v such that 5*v**5 + 135*v**4 + 690*v**3 - 2930*v**2 + 3225*v - 1125 = 0.
-15, 1
Solve a**4 - 8*a**3 + 24*a**2 - 32*a + 16 = 0.
2
Factor f**4/5 + 11*f**3/5 + 32*f**2/5 + 28*f/5.
f*(f + 2)**2*(f + 7)/5
Suppose j**2 - 550*j + 1096 = 0. Calculate j.
2, 548
What is o in -2*o**2/11 - 304*o/11 - 11552/11 = 0?
-76
Solve w**4/8 + 51*w**3/4 + 485*w**2/8 = 0.
-97, -5, 0
Factor t**4/4 + 3*t**3/4 + t**2/4 - 3*t/4 - 1/2.
(t - 1)*(t + 1)**2*(t + 2)/4
Find a, given that -5*a**5 - 5740*a**4 + 10*a**3 + 11480*a**2 - 5*a - 5740 = 0.
-1148, -1, 1
Let 3*a**3/5 - 9*a**2/5 + 12/5 = 0. Calculate a.
-1, 2
Find i such that -3*i**3 + 24*i**2 + 105*i - 450 = 0.
-5, 3, 10
Factor m**2/4 + 45*m/2 + 89/4.
(m + 1)*(m + 89)/4
Factor -i**4 - 31*i**3 + 102*i**2 - 4*i - 136.
-(i - 2)**2*(i + 1)*(i + 34)
Factor f**3/2 + 3*f**2/2 - 36*f + 88.
(f - 4)**2*(f + 11)/2
Solve -6*h**3 + 10*h**2 - 2*h - 2 = 0 for h.
-1/3, 1
Suppose -3*l**3/2 - 177*l**2 - 699*l/2 - 174 = 0. Calculate l.
-116, -1
Find v such that -5*v**4 + v**3 + 9*v**2 - v - 4 = 0.
-1, -4/5, 1
Factor -3*g**5 - 138*g**4 - 267*g**3 - 132*g**2.
-3*g**2*(g + 1)**2*(g + 44)
Factor -62*r**3 - 147*r**2 - 73*r + 12.
-(r + 1)*(2*r + 3)*(31*r - 4)
Factor -4*r**2 - 2288*r - 2284.
-4*(r + 1)*(r + 571)
Let -3*n**5 + 918*n**4 - 69303*n**3 - 141372*n**2 - 71148*n = 0. What is n?
-1, 0, 154
Determine x, given that -x**5 + 28*x**4 - 195*x**3 - 28*x**2 + 196*x = 0.
-1, 0, 1, 14
What is l in -5*l**4 + 35*l**3 + 90*l**2 = 0?
-2, 0, 9
Suppose -2*q**5 - 182*q**4/3 - 406*q**3 + 2494*q**2/3 - 192*q - 512/3 = 0. Calculate q.
-16, -1/3, 1
Determine t so that -2*t**4 - 2*t**3 = 0.
-1, 0
What is f in 3*f**4 - 123*f**3 - 9*f**2 + 363*f + 246 = 0?
-1, 2, 41
Factor -3*k**2/5 + 3/5.
-3*(k - 1)*(k + 1)/5
Determine r, given that r**2/6 + 77*r/6 + 38/3 = 0.
-76, -1
Let 2*n**2 - 18 = 0. Calculate n.
-3, 3
Determine i, given that -i**2 - 569*i - 568 = 0.
-568, -1
Factor -5*c**3 + 1310*c**2 - 87100*c + 169000.
-5*(c - 130)**2*(c - 2)
Let -2*n**5/7 + 20*n**4/7 - 48*n**3/7 - 44*n**2/7 + 146*n/7 + 120/7 = 0. What is n?
-1, 3, 4, 5
Factor -s**3/3 - s**2/3 + 5*s/3 - 1.
-(s - 1)**2*(s + 3)/3
Solve -3*s**3/7 - 27*s**2/7 - 72*s/7 - 48/7 = 0.
-4, -1
Solve -4*c**4/5 - 1124*c**3/5 + 908*c**2 - 5692*c/5 + 456 = 0 for c.
-285, 1, 2
Determine p, given that -5*p**2/3 - 290*p/3 - 95 = 0.
-57, -1
Suppose -3*c**5/5 + 84*c**4/5 + 3*c**3 - 84*c**2 - 12*c/5 + 336/5 = 0. Calculate c.
-2, -1, 1, 2, 28
Determine r so that 3*r**2/4 - 75*r/2 + 1875/4 = 0.
25
Let -5*h**2 + 610*h - 18605 = 0. What is h?
61
Factor 4*r**3 - 132*r**2 - 1120*r.
4*r*(r - 40)*(r + 7)
Factor 2*y**3/7 + 158*y**2/7 - 160*y/7.
2*y*(y - 1)*(y + 80)/7
Factor -x**2/7 - 148*x/7 - 292/7.
-(x + 2)*(x + 146)/7
Solve 4*y**5/9 + 14*y**4/9 - 4*y**3/3 - 14*y**2/9 + 8*y/9 = 0 for y.
-4, -1, 0, 1/2, 1
Find a, given that a**3/7 - 32*a**2 + 880*a/7 = 0.
0, 4, 220
Suppose -4*m**4 - 3256*m**3 - 3248*m**2 + 3256*m + 3252 = 0. What is m?
-813, -1, 1
Let -p**3/3 - 13*p**2/3 - 22*p/3 = 0. Calculate p.
-11, -2, 0
Determine a, given that -3*a**5 - 27*a**4 - 78*a**3 - 102*a**2 - 63*a - 15 = 0.
-5, -1
Factor -2*s**3/7 - 24*s**2 - 88*s + 1920/7.
-2*(s - 2)*(s + 6)*(s + 80)/7
Factor 16*g**3 + 4*g**2 - 16*g - 4.
4*(g - 1)*(g + 1)*(4*g + 1)
Solve 2*r**2/5 + 34*r/5 = 0.
-17, 0
Factor -2*y**2/3 + 280*y/3 - 9800/3.
-2*(y - 70)**2/3
Let -2*s**2/7 - 30*s/7 + 108/7 = 0. What is s?
-18, 3
Factor 4*f**4 + 16*f**3 + 12*f**2 - 16*f - 16.
4*(f - 1)*(f + 1)*(f + 2)**2
Suppose 2*w**4/13 - 1988*w**3/13 + 1368*w**2 - 53244*w/13 + 53190/13 = 0. Calculate w.
3, 985
Determine q, given that -2*q**5 + 10*q**4 + 108*q**3 + 244*q**2 + 214*q + 66 = 0.
-3, -1, 11
Determine k, given that -3*k**3/2 + 30*k**2 - 363*k/2 + 315 = 0.
3, 7, 10
Find f, given that -3*f**4/2 - 216*f**3 - 8397*f**2 - 44712*f - 128547/2 = 0.
-69, -3
Factor 2*v**5/9 - 10*v**4/9 + 16*v**3/9 - 8*v**2/9.
2*v**2*(v - 2)**2*(v - 1)/9
Factor c**3/2 - 105*c**2 + 417*c/2 - 104.
(c - 208)*(c - 1)**2/2
Suppose -4*p**4 + 28*p**3 - 48*p**2 - 16*p + 64 = 0. What is p?
-1, 2, 4
Factor 4*x**4 + 144*x**3 + 1144*x**2 - 2736*x + 1444.
4*(x - 1)**2*(x + 19)**2
Determine t so that 2*t**4/15 - 2*t**3/3 + 4*t**2/5 + 8*t/15 - 16/15 = 0.
-1, 2
Factor -2*y**2/13 - 74*y/13 - 72/13.
-2*(y + 1)*(y + 36)/13
Factor p**2 + 788*p + 155236.
(p + 394)**2
Let -d**2/2 + 45*d/2 - 82 = 0. What is d?
4, 41
Factor 3*o**3/7 - 18*o**2/7 - 45*o/7 - 24/7.
3*(o - 8)*(o + 1)**2/7
What is i in 9*i**5/5 - 429*i**4/5 - 2003*i**3/5 - 1331*i**2/5 + 1618*i/5 - 312/5 = 0?
-3, -2, 1/3, 52
Factor -620*l**2 + 175*l - 5.
-5*(4*l - 1)*(31*l - 1)
Find q such that -148*q**3 + 5928*q**2 - 320*q = 0.
0, 2/37, 40
Factor -3*l**2 - 45*l - 78.
-3*(l + 2)*(l + 13)
Factor -2*y**2/11 - 26*y/11 - 84/11.
-2*(y + 6)*(y + 7)/11
Factor -4*f**3/5 + 108*f**2/5 + 80*f - 240.
-4*(f - 30)*(f - 2)*(f + 5)/5
Factor -5*i**3/3 - 110*i**2/3 + 115*i/3.
-5*i*(i - 1)*(i + 23)/3
Factor c**3 - 40*c**2 - 188*c + 528.
(c - 44)*(c - 2)*(c + 6)
Find g, given that g**5 + 20*g**4 + 19*g**3 = 0.
-19, -1, 0
Factor -2*r**2/7 - 412*r/7 - 21218/7.
-2*(r + 103)**2/7
Let 4*j**5/5 + 56*j**4/5 - 8*j**3/5 - 112*j**2/5 + 4*j/5 + 56/5 = 0. What is j?
-14, -1, 1
Let 4*h**5 + 64*h**4 + 100*h**3 - 200*h**2 - 464*h - 224 = 0. Calculate h.
-14, -2, -1, 2
Solve -15*y**5 - 80*y**4 - 25*y**3 = 0 for y.
-5, -1/3, 0
Factor 3*r**4 - 24*r**3 - 81*r**2 + 222*r - 120.
3*(r - 10)*(r - 1)**2*(r + 4)
Factor 2*x**3 - 68*x**2 - 222*x.
2*x*(x - 37)*(x + 3)
Find z such that 2*z**4/3 + 10*z**3/3 - 38*z**2/3 - 58*z/3 + 28 = 0.
-7, -2, 1, 3
Factor 4*v**2 + 720*v + 32400.
4*(v + 90)**2
Factor -5*q**3 + 145*q**2 - 1295*q + 3675.
-5*(q - 15)*(q - 7)**2
Factor 3*m**3 + 2712*m**2 + 610191*m - 1231254.
3*(m - 2)*(m + 453)**2
Determine t so that 2*t**4/7 + 66*t**3/7 - 72*t**2/7 - 136*t/7 = 0.
-34, -1, 0, 2
Factor -2*h**2/9 - 76*h/9 - 74/9.
-2*(h + 1)*(h + 37)/9
Let d**4/4 - 291*d**3/4 + 20115*d**2/4 + 155407*d/4 = 0. What is d?
-7, 0, 149
Find r, given that -3*r**5 - 18*r**4 + 69*r**3 + 180*r**2 + 96*r = 0.
-8, -1, 0, 4
Factor b**2/3 + 13*b/3 + 10.
(b + 3)*(b + 10)/3
Find x such that 3*x**4 + 12*x**3 - 57*x**2 + 42*x = 0.
-7, 0, 1, 2
Factor -5*h**2/4 - 25*h/2 + 70.
-5*(h - 4)*(h + 14)/4
Determine l, given that -30*l**3/13 - 214*l**2/13 - 28*l/13 = 0.
-7, -2/15, 0
Suppose 4*a**3/13 + 10*a**2/13 - 24*a/13 = 0. Calculate a.
-4, 0, 3/2
Solve -x**3/3 - 20*x**2 - 39*x - 58/3 = 0 for x.
-58, -1
Factor -4*y**3 - 136*y**2.
-4*y**2*(y + 34)
Determine m, given that 4*m**2/7 + 4*m/7 = 0.
-1, 0
Determine i, given that 3*i**4 - 630*i**3 + 31779*i**2 + 137388*i = 0.
-4, 0, 107
Determine w, given that 3*w**2/5 - 171*w - 858/5 = 0.
-1, 286
Suppose -i**3 - i**2 + 26*i - 24 = 0. Calculate i.
-6, 1, 4
Suppose 8*v**5/7 - 74*v**4/7 + 162*v**3/7 - 4*v**2/7 - 200*v/7 + 48/7 = 0. What is v?
-1, 1/4, 2, 6
Determine b so that b**2 + 67*b + 130 = 0.
-65, -2
Factor -4*m**4/5 - 17*m**3/5 - 18*m**2/5.
-m**2*(m + 2)*(4*m + 9)/5
Factor 2*f**2/21 - 58*f/7 - 180/7.
2*(f - 90)*(f + 3)/21
Suppose 10*w**5/9 + 12*w**4 - 412*w**3/9 + 488*w**2/9 - 74*w/3 + 28/9 = 0. Calculate w.
-14, 1/5, 1
Factor -2*u**4/9 + 94*u**3/9 + 212*u**2/3.
-2*u**2*(u - 53)*(u + 6)/9
Solve -3*m**2 + 216*m - 3888 = 0 for m.
36
Factor -v**3/8 + 31*v**2/8 + 161*v/8 - 7935/8.
-(v - 23)**2*(v + 15)/8
Factor n**3 - 1977*n**2 + 1302843*n - 286191179.
(n - 659)**3
Factor 3*d**2/2 - 45*d/8 - 3/2.
3*(d - 4)*(4*d + 1)/8
Solve 3*a**4 + 3*a**3 - 9*a**2 - 15*a - 6 = 0 for a.
-1, 2
Factor 6*l**2/11 - 9960*l/11.
6*l*(l - 1660)/11
Factor 2*a**3/3 - 160*a**2/3 + 314*a/3 - 52.
2*(a - 78)*(a - 1)**2/3
What is p in 5*p**3/2 + 15*p**2 + 25*p/2 = 0?
-5, -1, 0
Solve 3*l**5/8 - 87*l**4/4 + 2343*l**3/8 + 1305*l**2/2 + 675*l/2 = 0 for l.
-1, 0, 30
Factor 2*n**2/21 + 248*n/7.
2*n*(n + 372)/21
Suppose 4*l**4/23 + 2*l**3/23 - 10*l**2/23 + 4*l/23 = 0. Calcula