 39*m**3 - 66*m**2.
-3*m**2*(m + 2)*(m + 11)
Factor -13*f**3 - 67*f**2 - 88*f - 12.
-(f + 2)*(f + 3)*(13*f + 2)
Factor -8*j**3/9 - 26*j**2/9 + 40*j/3 - 8.
-2*(j - 2)*(j + 6)*(4*j - 3)/9
Solve 3*w**2 - 198*w + 744 = 0 for w.
4, 62
Suppose 6*w**4 + 268*w**3 - 280*w**2/3 - 452*w/3 - 30 = 0. Calculate w.
-45, -1/3, 1
Determine j so that 145*j**3 + 1170*j**2 + 2400*j + 160 = 0.
-4, -2/29
What is z in -5*z**4 - 10*z**3 + 20*z**2 + 10*z - 15 = 0?
-3, -1, 1
Factor 5*g**2 + 1550*g - 7875.
5*(g - 5)*(g + 315)
Factor 3*r**3/5 + 102*r**2.
3*r**2*(r + 170)/5
Let -3*o**5/5 + 6*o**4/5 + 36*o**3/5 + 42*o**2/5 + 3*o = 0. What is o?
-1, 0, 5
Let -2*g**2/7 + 32*g/7 - 96/7 = 0. Calculate g.
4, 12
Factor 2*f**4/3 - 96*f**3 + 190*f**2 - 284*f/3.
2*f*(f - 142)*(f - 1)**2/3
Factor -2*s**3/9 - 16*s**2/9 + 232*s/9 - 128/3.
-2*(s - 6)*(s - 2)*(s + 16)/9
Solve -5*v**3 + 5*v**2 = 0.
0, 1
Suppose -l**5/7 + 4*l**3/7 + 2*l**2/7 - 3*l/7 - 2/7 = 0. What is l?
-1, 1, 2
Factor 2*t**4/23 - 188*t**3/23 - 190*t**2/23.
2*t**2*(t - 95)*(t + 1)/23
Factor w**4 + 102*w**3 + 100*w**2 - 102*w - 101.
(w - 1)*(w + 1)**2*(w + 101)
Factor -5*o**3/2 - 45*o**2 - 150*o - 140.
-5*(o + 2)**2*(o + 14)/2
Factor 5*t**2 + 335*t + 650.
5*(t + 2)*(t + 65)
Suppose 10*a**4/9 - 98*a**3/3 + 106*a**2/9 + 98*a/3 - 116/9 = 0. Calculate a.
-1, 2/5, 1, 29
Factor -2*q**2 + 716*q - 2130.
-2*(q - 355)*(q - 3)
Factor -3*q**5 - 24*q**4 - 72*q**3 - 96*q**2 - 48*q.
-3*q*(q + 2)**4
Determine q, given that 9*q**5 + 93*q**4 + 183*q**3 + 123*q**2 + 24*q = 0.
-8, -1, -1/3, 0
Suppose -4*b**4 - 4*b**3 + 44*b**2 + 36*b - 72 = 0. What is b?
-3, -2, 1, 3
Determine u, given that 4*u**2 + 452*u + 448 = 0.
-112, -1
Let -32*b**4 - 1872*b**3 + 2862*b**2 - 1078*b + 120 = 0. What is b?
-60, 1/4, 1
Factor 6*q**3/7 + 74*q**2/7 - 92*q/7 - 160/7.
2*(q - 2)*(q + 1)*(3*q + 40)/7
Factor -2*g**3/9 + 20*g**2/3 - 34*g + 48.
-2*(g - 24)*(g - 3)**2/9
Determine w so that -12*w**2 - 9*w + 3 = 0.
-1, 1/4
Determine y so that 2*y**4/7 + 40*y**3/7 = 0.
-20, 0
Suppose v**4/2 - 3*v**3 + 6*v**2 - 4*v = 0. Calculate v.
0, 2
Factor -27*o**3 + 1398*o**2 + 1743*o + 318.
-3*(o - 53)*(o + 1)*(9*o + 2)
Factor -2*o**4/5 + 4*o**3/5 + 14*o**2/5 + 8*o/5.
-2*o*(o - 4)*(o + 1)**2/5
Factor -4*b**3 - 444*b**2 - 1724*b - 1284.
-4*(b + 1)*(b + 3)*(b + 107)
Factor 4*o**2 + 30*o - 16.
2*(o + 8)*(2*o - 1)
Suppose -3*h**3/2 - 14*h**2 + 10*h = 0. Calculate h.
-10, 0, 2/3
What is g in -3*g**2/2 + 1236*g + 2475/2 = 0?
-1, 825
Factor -b**3/2 - 225*b**2/2 + 453*b/2 - 227/2.
-(b - 1)**2*(b + 227)/2
Solve 4*h**2 - 40*h - 224 = 0 for h.
-4, 14
Suppose 4*g**4 - 38*g**3 + 72*g**2 - 10*g - 28 = 0. What is g?
-1/2, 1, 2, 7
Find y, given that 4*y**3 - 196*y**2 - 404*y - 204 = 0.
-1, 51
Suppose 5*o**3 + 400*o**2 + 1165*o + 770 = 0. What is o?
-77, -2, -1
Factor 4*a**2 - 228*a - 2992.
4*(a - 68)*(a + 11)
Factor -4*b**3/5 - 68*b**2 - 992*b/5 - 656/5.
-4*(b + 1)*(b + 2)*(b + 82)/5
Factor 5000*m**3 - 2925*m**2 - 45*m.
5*m*(5*m - 3)*(200*m + 3)
Determine t, given that -t**3/9 + 448*t**2/3 - 200704*t/3 + 89915392/9 = 0.
448
What is s in 2*s**4/7 + 4*s**3 - 184*s**2/7 + 132*s/7 + 342/7 = 0?
-19, -1, 3
Suppose 8*a**4/11 + 18*a**3/11 - 84*a**2/11 - 118*a/11 - 24/11 = 0. What is a?
-4, -1, -1/4, 3
Factor -2*c**2 - 704*c + 706.
-2*(c - 1)*(c + 353)
Factor 5*m**3 - 595*m**2 + 17400*m + 18000.
5*(m - 60)**2*(m + 1)
Factor -5*j**3 - 455*j**2 - 1760*j - 1740.
-5*(j + 2)**2*(j + 87)
Factor 4*c**2 - 172*c - 960.
4*(c - 48)*(c + 5)
Let -363*d**5/5 - 5313*d**4/5 - 2388*d**3/5 + 11568*d**2/5 - 768*d + 336/5 = 0. What is d?
-14, -2, 2/11, 1
Factor -i**2/4 - 37*i/2 - 1369/4.
-(i + 37)**2/4
What is h in h**5/5 - h**4/5 - 11*h**3/5 - 7*h**2/5 + 2*h + 8/5 = 0?
-2, -1, 1, 4
Factor l**2 + 33*l + 90.
(l + 3)*(l + 30)
Factor -l**2/2 + 167*l/2 + 430.
-(l - 172)*(l + 5)/2
Factor -b**4 + 68*b**3 - 1680*b**2 + 18032*b - 71344.
-(b - 26)*(b - 14)**3
Determine r, given that 3*r**4/2 + 12*r**3 - 9*r**2/2 - 39*r - 24 = 0.
-8, -1, 2
Let -2*d**2/3 - 1260*d - 595350 = 0. What is d?
-945
Let -4*l**4/11 + 22*l**3 - 3298*l**2/11 + 12222*l/11 + 6966/11 = 0. What is l?
-1/2, 9, 43
Suppose 4*s**5 - 44*s**4 + 128*s**3 - 112*s**2 = 0. Calculate s.
0, 2, 7
Factor 3*s**2/7 + 3*s/7 - 6/7.
3*(s - 1)*(s + 2)/7
Solve 4*q**5 - 336*q**4 + 11136*q**3 - 181760*q**2 + 1459200*q - 4608000 = 0.
12, 20
Factor 4*x**3 - 12*x**2 - 16*x.
4*x*(x - 4)*(x + 1)
Find b such that 5*b**4/2 - 675*b**3 + 45560*b**2 + 675*b - 91125/2 = 0.
-1, 1, 135
Factor 68*w**3 - 88*w**2 + 20*w.
4*w*(w - 1)*(17*w - 5)
Suppose -3*j**4 - 45*j**3 - 87*j**2 + 621*j - 486 = 0. Calculate j.
-9, 1, 2
Factor 24334*b**3 + 19044*b**2 + 4968*b + 432.
2*(23*b + 6)**3
Factor 3*k**2 + 3*k - 3366.
3*(k - 33)*(k + 34)
Factor 3*r**3/5 - 117*r**2/5 + 216*r + 240.
3*(r - 20)**2*(r + 1)/5
Factor -2*k**2/7 + 1420*k/7 + 1422/7.
-2*(k - 711)*(k + 1)/7
Factor 200*a**2 - 2205*a + 55.
5*(a - 11)*(40*a - 1)
Find l such that -6*l**4 + 129*l**3 - 396*l**2 + 324*l = 0.
0, 3/2, 2, 18
Factor -4*x**5 - 192*x**4 - 2820*x**3 - 12632*x**2 - 22512*x - 14112.
-4*(x + 2)**3*(x + 21)**2
Factor 4*a**3 - 40*a**2 + 132*a - 144.
4*(a - 4)*(a - 3)**2
Factor 2*l**2/11 - 2776*l/11 + 963272/11.
2*(l - 694)**2/11
Suppose 2*v**5/3 - 12*v**4 - 70*v**3/3 + 216*v**2 - 760*v/3 = 0. Calculate v.
-5, 0, 2, 19
Factor x**3/2 - 153*x**2/2 - 2*x + 306.
(x - 153)*(x - 2)*(x + 2)/2
Find b such that -42*b**4 - 3208*b**3 - 7424*b**2 - 1760*b + 1184 = 0.
-74, -2, -2/3, 2/7
Factor -r**4/5 - 304*r**3/5 + 1229*r**2/5 - 924*r/5.
-r*(r - 3)*(r - 1)*(r + 308)/5
Let 9*q**3 - 2973*q**2 + 246015*q - 81675 = 0. What is q?
1/3, 165
Suppose -9*d**2 + 616*d = 0. Calculate d.
0, 616/9
Factor -5*q**5 + 185*q**4.
-5*q**4*(q - 37)
Find q, given that 3*q**4 - 27*q**3 - 603*q**2 - 1113*q - 540 = 0.
-9, -1, 20
Factor -2*y**4 - 2*y**3 + 4*y**2.
-2*y**2*(y - 1)*(y + 2)
Factor 13*l**3 + 37*l**2 + 20*l - 4.
(l + 1)*(l + 2)*(13*l - 2)
Determine h so that 4*h**2 + 7712*h + 3717184 = 0.
-964
Factor -y**2/2 - 247*y/2.
-y*(y + 247)/2
Factor -5*h**5/4 + 20*h**4 - 75*h**3/4.
-5*h**3*(h - 15)*(h - 1)/4
Solve g**4 + 5*g**3 - 309*g**2 + 2219*g - 4508 = 0.
-23, 4, 7
What is f in -2*f**5 + 16*f**4 - 36*f**3 + 32*f**2 - 10*f = 0?
0, 1, 5
Factor 5*j**3/7 - 3723*j**2/7 - 1490*j/7.
j*(j - 745)*(5*j + 2)/7
Factor 3*q**2 - 4251*q + 4248.
3*(q - 1416)*(q - 1)
Factor -2*z**2 - 15*z/2 - 7.
-(z + 2)*(4*z + 7)/2
Factor 4*a**2 - 32*a - 612.
4*(a - 17)*(a + 9)
What is h in -3*h**5/7 - 6*h**4/7 + 33*h**3/7 + 24*h**2/7 - 60*h/7 - 48/7 = 0?
-4, -1, 2
Solve 5*u**3 - 5*u**2 - 25*u - 15 = 0.
-1, 3
Determine j, given that -j**4 + 4*j**3 + 3*j**2 - 10*j - 8 = 0.
-1, 2, 4
Find g such that -2*g**5 - 20*g**4 - 12*g**3 + 56*g**2 + 14*g - 36 = 0.
-9, -2, -1, 1
Let -z**5/4 + 13*z**4 - 843*z**3/4 + 1045*z**2 - 847*z = 0. Calculate z.
0, 1, 7, 22
Factor 19*l**2 + 14*l.
l*(19*l + 14)
Solve 3*i**5/7 + 3*i**4/7 - 81*i**3/7 - 243*i**2/7 - 162*i/7 = 0 for i.
-3, -1, 0, 6
Solve 2*x**5/7 - 32*x**4/7 + 72*x**3/7 + 352*x**2/7 - 640*x/7 - 1536/7 = 0.
-2, 4, 12
Factor -c**2 + 76*c - 1444.
-(c - 38)**2
Suppose 5*x**2 + 895*x = 0. Calculate x.
-179, 0
What is r in -2*r**4/13 - 16*r**3/13 + 14*r**2/13 + 100*r/13 - 96/13 = 0?
-8, -3, 1, 2
Suppose -81*v**3 - 240*v**2 + 819*v - 30 = 0. What is v?
-5, 1/27, 2
Factor -d**2 + 23*d + 24.
-(d - 24)*(d + 1)
Suppose -5*r**4 - 40*r**3 - 25*r**2 + 70*r = 0. What is r?
-7, -2, 0, 1
Factor t**5/5 - 6*t**4/5 + 12*t**3/5 - 2*t**2 + 3*t/5.
t*(t - 3)*(t - 1)**3/5
Factor -h**3/4 - h**2 + 7*h/4 + 5/2.
-(h - 2)*(h + 1)*(h + 5)/4
Let n**4/2 + 29*n**3/6 - 5*n**2/3 = 0. Calculate n.
-10, 0, 1/3
Factor 4*a**2 - 1976*a + 244036.
4*(a - 247)**2
Factor k**2/4 - 127*k/4.
k*(k - 127)/4
Solve -d**5/6 - d**4/2 - d**3/6 + d**2/2 + d/3 = 0 for d.
-2, -1, 0, 1
Factor p**4/3 + 1212*p**3 + 3297844*p**2/3 - 4411680*p + 13249600/3.
(p - 2)**2*(p + 1820)**2/3
Solve -5*z**3 - 80*z**2 = 0 for z.
-16, 0
Factor -n**4/4 - 7*n**3/4 - 3*n**2/2 + 8*n + 8.
-(n - 2)*(n + 1)*(n + 4)**2/4
Factor -2*c**2 + 242*c + 244.
-2*(c - 122)*(c + 1)
Solve 6*m**5 - 4292*m**4 + 761812*m**3 + 2052048*m**2 + 1801462*m + 515524 = 0.
-1, -2/3, 359
Let -5*a**3 - 25*a**2 + 65*a - 35 = 0. What is a?
-7, 1
Solve n**3/11 - 951*n**2/11 + 301467*n/11 - 31855013/11 = 0.
317
What is t in 2*t**5 - 34*t**4/3 - 58*t**3/3 + 10*t**2/3 + 28*t/3 = 