12)*(5*o + 1)/3
Solve 5*c**3 - 55*c**2 + 90*c = 0 for c.
0, 2, 9
Let 1331*h**3/2 - 13068*h**2 + 85536*h - 186624 = 0. Calculate h.
72/11
Find d such that 4*d**3 - 4*d**2 - 168*d = 0.
-6, 0, 7
Factor -2*k**3 + 6*k**2 + 32*k + 24.
-2*(k - 6)*(k + 1)*(k + 2)
Factor 4*y**3 + 412*y**2 + 3104*y + 6080.
4*(y + 4)**2*(y + 95)
Determine l so that -48*l**5/5 - 32*l**4/5 + 4*l**3/5 + 4*l**2/5 = 0.
-1/2, 0, 1/3
Let 3*j**5 - 36*j**4/7 - 33*j**3/7 + 36*j**2/7 + 12*j/7 = 0. What is j?
-1, -2/7, 0, 1, 2
Find x such that 10*x**5/3 + 434*x**4/3 - 274*x**3/3 - 434*x**2/3 + 88*x = 0.
-44, -1, 0, 3/5, 1
Factor m**2/3 + 92*m/3 - 188/3.
(m - 2)*(m + 94)/3
Suppose -64*i**5 - 2848*i**4 - 1252*i**3 + 6796*i**2 - 2984*i + 352 = 0. Calculate i.
-44, -2, 1/4, 1
Factor -m**2/4 + 4*m - 63/4.
-(m - 9)*(m - 7)/4
Solve x**4/9 + x**3 + 29*x**2/9 + 13*x/3 + 2 = 0 for x.
-3, -2, -1
Factor -h**5/2 + 27*h**4 + 113*h**3 + 172*h**2 + 231*h/2 + 29.
-(h - 58)*(h + 1)**4/2
Let l**2/2 - 15*l - 99/2 = 0. Calculate l.
-3, 33
Suppose q**5/3 - 119*q**4/3 + 1363*q**3/3 + 1603*q**2/3 - 1364*q/3 - 1484/3 = 0. What is q?
-1, 1, 14, 106
Factor m**4/2 - 37*m**3/2 - m**2/2 + 37*m/2.
m*(m - 37)*(m - 1)*(m + 1)/2
Determine s so that 2*s**2/17 + 644*s/17 + 51842/17 = 0.
-161
Factor w**4/3 + 3*w**3 + 14*w**2/3.
w**2*(w + 2)*(w + 7)/3
Determine q so that 50*q**3 - 96*q**2 + 42*q + 4 = 0.
-2/25, 1
Factor 5*d**2 - 205*d + 1650.
5*(d - 30)*(d - 11)
Factor 3*x**3 + 18*x**2 + 24*x.
3*x*(x + 2)*(x + 4)
Solve g**4/2 - 3*g**2/2 - g = 0.
-1, 0, 2
Find q such that 4*q**4 - 40*q**3 + 128*q**2 - 128*q = 0.
0, 2, 4
Let -2*v**4 + 56*v**3 - 52*v**2 - 56*v + 54 = 0. Calculate v.
-1, 1, 27
Factor 2*z**3/3 - 14*z**2/3 + 22*z/3 - 10/3.
2*(z - 5)*(z - 1)**2/3
Factor 4*x**3/9 - 20*x**2/3 - 136*x/9.
4*x*(x - 17)*(x + 2)/9
Solve -4*g**4 + 28*g**3 + 52*g**2 - 172*g + 96 = 0.
-3, 1, 8
Find d such that 5*d**5/4 + 43*d**4/4 + 87*d**3/4 + 53*d**2/4 - 2*d - 3 = 0.
-6, -1, 2/5
Factor 3*g**2/5 + 36*g/5 - 51.
3*(g - 5)*(g + 17)/5
Let -2*y**2/3 + 142*y/3 - 136 = 0. Calculate y.
3, 68
Suppose 6*o**2/11 - 3728*o/11 - 2488/11 = 0. What is o?
-2/3, 622
Factor b**2/4 + 31*b - 125/4.
(b - 1)*(b + 125)/4
Factor 2*i**4/5 - 2*i**3 + 4*i**2/5 + 16*i/5.
2*i*(i - 4)*(i - 2)*(i + 1)/5
Determine k so that 15*k**4 - 72*k**3 - 1125*k**2 - 2022*k - 360 = 0.
-5, -2, -1/5, 12
Factor 6*p**3 + 27*p**2 + 315*p/8 + 75/4.
3*(p + 2)*(4*p + 5)**2/8
Factor q**2/6 - 49*q/6 - 25/3.
(q - 50)*(q + 1)/6
Find y, given that 2*y**4 - 5*y**3 - 3*y**2 + 8*y + 4 = 0.
-1, -1/2, 2
Factor -a**2/5 - 109*a/5 - 108/5.
-(a + 1)*(a + 108)/5
Solve -76*q**3/3 + 406*q**2 - 32*q/3 = 0 for q.
0, 1/38, 16
Solve -x**3/2 - 21*x**2/2 - 60*x - 50 = 0.
-10, -1
Find w, given that -4*w**5 - 980*w**4 + 4*w**3 + 980*w**2 = 0.
-245, -1, 0, 1
What is y in -3*y**5/7 + 15*y**4/7 + 39*y**3/7 - 375*y**2/7 + 792*y/7 - 540/7 = 0?
-5, 2, 3
Solve -2*h**3/3 + 2*h**2/3 + 24*h - 24 = 0 for h.
-6, 1, 6
Factor 2*m**2 - 20*m - 1302.
2*(m - 31)*(m + 21)
Suppose -18*z**4 - 276*z**3 - 1226*z**2 - 1288*z - 392 = 0. Calculate z.
-7, -2/3
Solve -104*w**3/5 + 98*w**2/5 + 6*w/5 = 0.
-3/52, 0, 1
Let -4*n**4 - 28*n**3 - 24*n**2 + 128*n + 128 = 0. Calculate n.
-4, -1, 2
Solve -5*j**2 - 241*j - 48 = 0 for j.
-48, -1/5
Factor -2*g**3/9 + 14*g**2/9 - 14*g/9 - 10/3.
-2*(g - 5)*(g - 3)*(g + 1)/9
Factor 2*v**2/3 - 14*v/3 - 12.
2*(v - 9)*(v + 2)/3
Suppose 3*l**4 + 2907*l**3 + 705672*l**2 + 702768*l = 0. What is l?
-484, -1, 0
Factor 2*d**3/19 - 12*d**2/19 + 6*d/19 + 20/19.
2*(d - 5)*(d - 2)*(d + 1)/19
Factor -4*m**2 - 1112*m - 77284.
-4*(m + 139)**2
Find j, given that -5*j**4 - 5*j**3 = 0.
-1, 0
Factor q**2 + 596*q - 597.
(q - 1)*(q + 597)
Factor -2*b**3/5 + 304*b**2/5 + 614*b/5 + 308/5.
-2*(b - 154)*(b + 1)**2/5
Factor -32*x**5/21 + 80*x**4/21 - 50*x**3/21 - 10*x**2/21 + 10*x/21 + 2/21.
-2*(x - 1)**3*(4*x + 1)**2/21
Suppose j**3/2 - 7*j/2 - 3 = 0. What is j?
-2, -1, 3
Find p, given that 5*p**2 - 250*p - 795 = 0.
-3, 53
Factor -a**4 + 6*a**3 - 13*a**2 + 12*a - 4.
-(a - 2)**2*(a - 1)**2
Factor -3*n**2 - 27*n + 30.
-3*(n - 1)*(n + 10)
Determine w so that -4*w**4 + 356*w**3 - 8388*w**2 + 18748*w + 73960 = 0.
-2, 5, 43
Determine y, given that -5*y**2 - 13930*y - 9702245 = 0.
-1393
Factor k**3/2 + 75*k**2/2 - 200*k.
k*(k - 5)*(k + 80)/2
Determine m so that 21*m**2/5 - 23799*m/5 + 6798/5 = 0.
2/7, 1133
Suppose 4*x**4 - 56*x**3/3 - 112*x**2/3 + 32*x = 0. Calculate x.
-2, 0, 2/3, 6
Find h such that h**2/6 - 13*h/3 = 0.
0, 26
Suppose -k**4/5 + 3*k**3 - 81*k**2/5 + 37*k - 30 = 0. Calculate k.
2, 3, 5
Factor v**3/5 + 17*v**2/5 + 76*v/5 + 12.
(v + 1)*(v + 6)*(v + 10)/5
Factor 482*k**2 + 1456*k/5 + 6/5.
2*(5*k + 3)*(241*k + 1)/5
Find d such that -3*d**2 + 705*d = 0.
0, 235
Factor 70*n**2 + 95*n - 15.
5*(2*n + 3)*(7*n - 1)
Factor 2*k**5 - 2*k**4 - 6*k**3 + 10*k**2 - 4*k.
2*k*(k - 1)**3*(k + 2)
Let -o**4 - 25*o**3 + 81*o**2 - 83*o + 28 = 0. What is o?
-28, 1
Find m, given that m**2 - 27*m + 92 = 0.
4, 23
What is r in -2*r**4 - 64*r**3 + 66*r**2 = 0?
-33, 0, 1
Suppose 5*s**3/4 + 415*s**2 - 3335*s/4 + 835/2 = 0. What is s?
-334, 1
Factor h**3 - 17*h**2 + 63*h + 81.
(h - 9)**2*(h + 1)
Factor 3*u**3 - 42*u**2 + 87*u + 132.
3*(u - 11)*(u - 4)*(u + 1)
Find w such that w**5/2 - 2*w**4 - 35*w**3/2 + 59*w**2 + 160*w - 400 = 0.
-4, 2, 5
Suppose 3*c**3 + 92*c**2 + 59*c - 30 = 0. What is c?
-30, -1, 1/3
Factor -4*c**4 + 11*c**3 + 39*c**2 - 99*c - 27.
-(c - 3)**2*(c + 3)*(4*c + 1)
Determine t so that 4*t**2 - 44*t + 96 = 0.
3, 8
Determine f, given that -3*f**5 + 747*f**4 - 49761*f**3 + 408321*f**2 - 1185840*f + 1166400 = 0.
3, 120
Factor 4*o**4 + 12*o**3 - 8*o**2 - 48*o - 32.
4*(o - 2)*(o + 1)*(o + 2)**2
Factor 2*w**2/3 + 28*w/3 + 80/3.
2*(w + 4)*(w + 10)/3
Factor c**5 + 62*c**4 - 192*c**3 + 194*c**2 - 65*c.
c*(c - 1)**3*(c + 65)
Factor 4*s**3 + 64*s**2 + 164*s + 104.
4*(s + 1)*(s + 2)*(s + 13)
Factor 5*v**4/4 + 55*v**3/2 - 365*v**2/4 + 125*v/2.
5*v*(v - 2)*(v - 1)*(v + 25)/4
What is g in -g**5/3 - 160*g**4/3 - 6397*g**3/3 + 478*g**2/3 + 18880*g/3 - 12800/3 = 0?
-80, -2, 1
Factor -5*v**3 + 25*v**2 + 520*v.
-5*v*(v - 13)*(v + 8)
Find i such that 4*i**4 - 184*i**3 + 1680*i**2 + 11000*i - 12500 = 0.
-5, 1, 25
Factor -2*n**2 - 4232*n - 2238728.
-2*(n + 1058)**2
Factor -a**4/8 - 9*a**3/8 + 33*a**2/4 - 7*a.
-a*(a - 4)*(a - 1)*(a + 14)/8
Factor 2*b**2 - 3980*b + 1980050.
2*(b - 995)**2
Factor -98*w**3/19 + 644*w**2/19 - 344*w/19 + 48/19.
-2*(w - 6)*(7*w - 2)**2/19
Let -4*t**4 + 14*t**3 + 12*t**2 - 14*t - 8 = 0. Calculate t.
-1, -1/2, 1, 4
What is o in 39*o**5 + 31699*o**4/3 + 20297*o**3 + 26077*o**2/3 - 1436*o - 1076/3 = 0?
-269, -1, -2/13, 2/9
Determine t, given that 2*t**4/7 + 24*t**3/7 - 366*t**2/7 - 860*t/7 + 1200/7 = 0.
-20, -3, 1, 10
Find v such that -2*v**3/7 + 12*v**2/7 + 32*v/7 = 0.
-2, 0, 8
What is c in 6*c**3/11 - 258*c**2/11 + 3690*c/11 - 17550/11 = 0?
13, 15
What is h in 5*h**2/3 + 9025*h/3 - 3010 = 0?
-1806, 1
Factor -2*m**3/7 - 26*m**2/7 + 30*m - 342/7.
-2*(m - 3)**2*(m + 19)/7
Factor 8*w**5/5 + 62*w**4/5 - 16*w**3/5.
2*w**3*(w + 8)*(4*w - 1)/5
Factor -v**2 + 534*v + 535.
-(v - 535)*(v + 1)
Suppose -2*z**2 + 6*z + 36 = 0. What is z?
-3, 6
Let 2*j**2 - 76*j + 210 = 0. Calculate j.
3, 35
Factor 6*r**3 + 2*r**2 - 76*r + 48.
2*(r - 3)*(r + 4)*(3*r - 2)
Factor -4*d**4 - 96*d**3 + 120*d**2 + 512*d + 300.
-4*(d - 3)*(d + 1)**2*(d + 25)
Factor 6*w**3/5 + 20*w**2 - 38*w/5 - 68/5.
2*(w - 1)*(w + 17)*(3*w + 2)/5
Find b, given that 2*b**4/5 + 66*b**3 + 1932*b**2/5 + 3832*b/5 + 2544/5 = 0.
-159, -2
Factor s**3/2 + 63*s**2/2 + 120*s - 13600.
(s - 17)*(s + 40)**2/2
Factor -4*t**2 + 48*t - 144.
-4*(t - 6)**2
Factor 2*y**4 - 12*y**3 + 10*y**2 + 24*y.
2*y*(y - 4)*(y - 3)*(y + 1)
Let -h**5 + 4*h**4 + 12*h**3 - 22*h**2 - 59*h - 30 = 0. What is h?
-2, -1, 3, 5
Factor 2*b**2/9 + 568*b/9.
2*b*(b + 284)/9
Determine u, given that -2*u**5 + 22*u**4 + 12*u**3 - 148*u**2 + 182*u - 66 = 0.
-3, 1, 11
Solve -2*h**3 - 46*h**2 - 78*h + 126 = 0 for h.
-21, -3, 1
Factor -40*n**3 + 84*n**2 - 16.
-4*(n - 2)*(2*n - 1)*(5*n + 2)
Factor v**4/3 - 3*v**3 + 14*v**2/3.
v**2*(v - 7)*(v - 2)/3
Let 3*t**4/8 + 57*t**3/8 - 27*t**2/4 - 513*t/2 - 243 = 0. Calculate t.
-18, -6, -1, 6
Factor 5*k**3 + 100*k**2 - 1040*k + 2240.
5*(k - 4)**2*(k + 28)
Factor -2*a**3/5 - 62*a**2/5 - 80*a - 736/5.
-2*