*a + 9.
-3*(a - 3)*(12*a - 1)**2
Factor -2*g**3/3 + 128*g**2/3.
-2*g**2*(g - 64)/3
Factor -2*a**3/3 + 256*a**2/3 + 262*a/3 - 172.
-2*(a - 129)*(a - 1)*(a + 2)/3
Factor 2*j**2/5 + 16*j/5 + 6.
2*(j + 3)*(j + 5)/5
Find a, given that -2*a**3/3 - 134*a**2/3 + 2*a/3 + 134/3 = 0.
-67, -1, 1
Factor -4*o**4 + 144*o**3 - 136*o**2 - 144*o + 140.
-4*(o - 35)*(o - 1)**2*(o + 1)
Factor -5*q**3 + 305*q**2.
-5*q**2*(q - 61)
Suppose -y**4/2 - 30*y**3 = 0. Calculate y.
-60, 0
Find l such that 3*l**5/8 + 945*l**4/2 + 1579995*l**3/8 + 107935995*l**2/4 - 334575315*l/2 + 253636137 = 0.
-422, 3
Factor -4*p**5/3 - 4*p**4/3 + 8*p**3/3 + 8*p**2/3 - 4*p/3 - 4/3.
-4*(p - 1)**2*(p + 1)**3/3
Factor 4*x**2 - 10136*x.
4*x*(x - 2534)
Let 2*x**4/7 + 320*x**3/7 + 12144*x**2/7 - 52480*x/7 + 53792/7 = 0. What is x?
-82, 2
Factor -2*r**2/3 + 24*r - 136/3.
-2*(r - 34)*(r - 2)/3
Factor -12*k**3 - 776*k**2 - 508*k + 256.
-4*(k + 1)*(k + 64)*(3*k - 1)
Factor -204*g**2 - 11024*g - 432.
-4*(g + 54)*(51*g + 2)
Find f, given that -2*f**4 - 2*f**3 + 14*f**2 + 26*f + 12 = 0.
-2, -1, 3
Factor -2*j**3/21 + 3940*j**2/7 - 7761800*j/7 + 15290746000/21.
-2*(j - 1970)**3/21
Solve 3*a**2/4 - 3*a/2 - 765/4 = 0.
-15, 17
Suppose -5*u**3 - 2385*u**2 - 379215*u - 20098395 = 0. What is u?
-159
Suppose -2*y**3 - 1934*y**2 - 7712*y - 7704 = 0. Calculate y.
-963, -2
Solve 2*v**2/7 + 58*v/7 - 1320/7 = 0 for v.
-44, 15
Factor -2*p**4/17 + 24*p**2/17 - 32*p/17.
-2*p*(p - 2)**2*(p + 4)/17
Determine p, given that -p**3/4 + 99*p**2/2 + p/4 - 99/2 = 0.
-1, 1, 198
Factor 5*s**2/6 - 205*s/3.
5*s*(s - 82)/6
Factor -3*k**2/4 + 9*k/4 - 3/2.
-3*(k - 2)*(k - 1)/4
Factor 2*f**4/7 - 2*f**3/7 - 2*f**2/7 + 2*f/7.
2*f*(f - 1)**2*(f + 1)/7
Suppose 3*o**4/2 - 63*o**3 + 720*o**2 - 1200*o = 0. What is o?
0, 2, 20
Factor q**5/5 - q**4/5.
q**4*(q - 1)/5
Find o, given that o**4/5 + 36*o**3/5 + 6*o**2 - 172*o/5 + 21 = 0.
-35, -3, 1
Solve 25*b**5 + 170*b**4 + 1581*b**3/4 + 1485*b**2/4 + 243*b/2 = 0.
-3, -2, -9/10, 0
Factor h**5 - 67*h**4 + 1275*h**3 - 5053*h**2 + 3844*h.
h*(h - 31)**2*(h - 4)*(h - 1)
Determine a so that -a**3 + 3*a**2 + 297*a - 2299 = 0.
-19, 11
Factor -3*f**4 + 12*f**3 + 33*f**2 + 18*f.
-3*f*(f - 6)*(f + 1)**2
Suppose 2*m**5 - 26*m**4 - 402*m**3 - 1318*m**2 - 464*m + 2208 = 0. What is m?
-4, -3, 1, 23
Factor -19*b**3/2 - b**2 + 608*b + 64.
-(b - 8)*(b + 8)*(19*b + 2)/2
Factor -v**4/2 - v**3/2 + 2*v**2 + 2*v.
-v*(v - 2)*(v + 1)*(v + 2)/2
Let 6*l**4/5 + 10*l**3 - 106*l**2/15 + 6*l/5 = 0. Calculate l.
-9, 0, 1/3
Factor 10*m**4/3 - 305*m**3/3 + 145*m**2.
5*m**2*(m - 29)*(2*m - 3)/3
Suppose -f**3/4 + 23*f**2/2 + f/4 - 23/2 = 0. What is f?
-1, 1, 46
Let 5*v**5/7 + 2*v**4/7 - 30*v**3/7 - 52*v**2/7 - 31*v/7 - 6/7 = 0. Calculate v.
-1, -2/5, 3
Suppose y**3/10 - 11*y**2/10 + 3*y/2 + 27/10 = 0. Calculate y.
-1, 3, 9
Factor 2*y**3/17 + 2*y**2/17.
2*y**2*(y + 1)/17
Determine k, given that -9*k**3 - 57*k**2 - 99*k - 27 = 0.
-3, -1/3
Let 5*n**5 + 135*n**4 - 5*n**3 - 135*n**2 = 0. What is n?
-27, -1, 0, 1
Factor -3*f**2 + 24*f - 45.
-3*(f - 5)*(f - 3)
Solve -1209*b**5/4 - 3621*b**4/4 + 8481*b**3/4 + 18093*b**2/4 - 5463*b + 27 = 0.
-3, 2/403, 1, 2
Factor 3*f**2/5 + 21*f/5.
3*f*(f + 7)/5
Factor -5*m**3 - 95*m**2 - 120*m + 3600.
-5*(m - 5)*(m + 12)**2
Let -4*w**2 - 8*w + 192 = 0. Calculate w.
-8, 6
Find s, given that 2*s**2/17 - 182*s/17 - 564/17 = 0.
-3, 94
Determine k, given that 4*k**5 - 212*k**3 - 384*k**2 + 208*k + 384 = 0.
-6, -2, -1, 1, 8
Determine w so that 3*w**3 - 30*w**2 + 36*w + 216 = 0.
-2, 6
Let 125*z**5 + 475*z**4 + 320*z**3 - 440*z**2 - 400*z - 80 = 0. What is z?
-2, -2/5, 1
Factor 3*w**4 - 102*w**3 + 456*w**2 - 618*w + 261.
3*(w - 29)*(w - 3)*(w - 1)**2
Suppose -81*w**5 - 45*w**4 + 75*w**3 + 45*w**2 + 6*w = 0. What is w?
-1, -1/3, -2/9, 0, 1
Determine b so that -6125*b**2 + 11900*b - 5780 = 0.
34/35
What is y in y**4/5 - 22*y**3/5 + 56*y**2/5 + 22*y/5 - 57/5 = 0?
-1, 1, 3, 19
Find i, given that 4*i**5/3 + 628*i**4/3 + 12144*i**3 + 921536*i**2/3 + 8518400*i/3 = 0.
-44, -25, 0
Factor -a**4 + 3*a**3 + 20*a**2 - 84*a + 80.
-(a - 4)*(a - 2)**2*(a + 5)
Factor 3*d**4/4 - 3*d**3/2 - 39*d**2/4 - 15*d/2.
3*d*(d - 5)*(d + 1)*(d + 2)/4
Solve 2*o**3/3 - 16*o**2/3 + 40*o/3 - 32/3 = 0.
2, 4
Let -f**5/4 - f**4/4 + 8*f**3 - 3*f**2 - 36*f = 0. What is f?
-6, -2, 0, 3, 4
Suppose 3*m**2/4 + 4173*m/4 = 0. Calculate m.
-1391, 0
Factor 4*q**2 - 20*q + 16.
4*(q - 4)*(q - 1)
Determine i, given that -3*i**2 - 141*i + 144 = 0.
-48, 1
Factor 3*k**3 - 9*k**2 - 30*k + 72.
3*(k - 4)*(k - 2)*(k + 3)
Solve -u**3 - 66*u**2 + 136*u = 0 for u.
-68, 0, 2
Let -2*y**4 + 10*y**3 - 18*y**2 + 14*y - 4 = 0. Calculate y.
1, 2
Factor x**3/8 + 5*x**2/8 + 7*x/8 + 3/8.
(x + 1)**2*(x + 3)/8
Factor -5*y**2 + 40*y + 420.
-5*(y - 14)*(y + 6)
Determine j, given that -4*j**4 - 48*j**3 - 84*j**2 + 392*j = 0.
-7, 0, 2
Factor r**3 + 7*r**2 - r - 7.
(r - 1)*(r + 1)*(r + 7)
Solve -2*p**2/3 + 7940*p/3 - 7880450/3 = 0.
1985
What is r in -r**3/4 - 15*r**2/4 - 63*r/4 - 49/4 = 0?
-7, -1
What is c in 2*c**2/5 - 56*c/5 - 186/5 = 0?
-3, 31
Factor -2*i**2/3 + 4*i/3 + 32.
-2*(i - 8)*(i + 6)/3
Factor w**4/4 + 11*w**3/2 - 25*w**2/4 - 23*w/2.
w*(w - 2)*(w + 1)*(w + 23)/4
Factor u**2/10 + 57*u/10 + 106/5.
(u + 4)*(u + 53)/10
Determine f, given that 2*f**4/7 - 244*f**3/7 + 7194*f**2/7 + 15128*f/7 + 7688/7 = 0.
-1, 62
Factor i**2 + 1788*i + 799236.
(i + 894)**2
Factor -2*a**2/5 + 42*a/5 - 8.
-2*(a - 20)*(a - 1)/5
Factor 4*n**4 + 60*n**3 - 48*n**2 - 656*n + 960.
4*(n - 2)**2*(n + 4)*(n + 15)
Factor -5*t**3 - 25*t**2 + 180*t.
-5*t*(t - 4)*(t + 9)
Factor 2*a**3/15 + 2*a**2/3 + 16*a/15 + 8/15.
2*(a + 1)*(a + 2)**2/15
Determine j, given that 5*j**2 - 35*j = 0.
0, 7
Factor 3*x**4/4 + 81*x**3/2 + 585*x**2/4 - 375*x/2.
3*x*(x - 1)*(x + 5)*(x + 50)/4
Suppose -21*q**5 - 741*q**4 - 3423*q**3 - 2619*q**2 + 5184*q + 1620 = 0. What is q?
-30, -3, -2/7, 1
What is m in 6*m**4/5 + 362*m**3/5 - 616*m**2/5 + 248*m/5 = 0?
-62, 0, 2/3, 1
Factor 2*b**2/9 + 584*b/9 + 42632/9.
2*(b + 146)**2/9
Let 3*h**4 + 3*h**3 - 36*h**2 - 84*h - 48 = 0. Calculate h.
-2, -1, 4
Determine f so that -f**4/6 - 17*f**3/6 - 26*f**2/3 = 0.
-13, -4, 0
Factor 3*n**3 - 264*n**2 + 765*n.
3*n*(n - 85)*(n - 3)
Determine y, given that -y**5 - 54*y**4 - 297*y**3 - 436*y**2 - 192*y = 0.
-48, -4, -1, 0
Factor -2*z**4/7 + 68*z**3/7 - 66*z**2/7.
-2*z**2*(z - 33)*(z - 1)/7
Factor -5*k**3 + 265*k**2 - 260*k.
-5*k*(k - 52)*(k - 1)
Factor h**5/9 - 8*h**4/9 + 16*h**3/9.
h**3*(h - 4)**2/9
Solve -3*i**4 - 25*i**3/2 - 14*i**2 - 2*i = 0 for i.
-2, -1/6, 0
Let 2*j**2/3 + 14*j/3 - 20 = 0. Calculate j.
-10, 3
Let z**3 - 17*z**2 + 90*z - 144 = 0. Calculate z.
3, 6, 8
Let -5*f**3 - 255*f**2 + 1670*f - 2280 = 0. What is f?
-57, 2, 4
Solve -52*t**3/7 + 22*t**2 + 6*t/7 = 0 for t.
-1/26, 0, 3
Determine y, given that 3*y**5 + 16*y**4 - 68*y**3 - 16*y**2 + 128*y = 0.
-8, -4/3, 0, 2
Factor 2*v**2/3 - 52*v/3 + 70.
2*(v - 21)*(v - 5)/3
Factor -2*k**3/17 - 16*k**2/17 + 46*k/17 + 60/17.
-2*(k - 3)*(k + 1)*(k + 10)/17
Factor -5*u**4 - 235*u**3 - 1785*u**2 - 2725*u + 4750.
-5*(u - 1)*(u + 5)**2*(u + 38)
Determine f so that -6*f**2 + 44*f - 70 = 0.
7/3, 5
Factor -8*t**2/5 + 34*t/5 - 8/5.
-2*(t - 4)*(4*t - 1)/5
Let 2*z**2/9 + 346*z/9 - 472/3 = 0. Calculate z.
-177, 4
Factor -2*w**2/11 + 230*w/11 - 452/11.
-2*(w - 113)*(w - 2)/11
Solve f**3/5 - 32*f**2/5 + 139*f/5 - 108/5 = 0.
1, 4, 27
Factor -2*z**5/7 - 10*z**4/7 - 8*z**3/7.
-2*z**3*(z + 1)*(z + 4)/7
Factor -q**2/7 - 195*q/7 + 594/7.
-(q - 3)*(q + 198)/7
Solve -245*m**3 + 57645*m**2 - 3419400*m + 3362000 = 0.
1, 820/7
Suppose 2*u**3/9 - 4*u**2 + 64*u/9 = 0. What is u?
0, 2, 16
Factor 2*r**3/7 - 2*r**2 + 22*r/7 - 10/7.
2*(r - 5)*(r - 1)**2/7
Let 3*b**5/5 + 77*b**4/5 - 115*b**3 + 1047*b**2/5 - 288*b/5 = 0. What is b?
-32, 0, 1/3, 3
Factor 15*y**3/8 + 3*y**2/4 - 39*y/8 + 9/4.
3*(y - 1)*(y + 2)*(5*y - 3)/8
Solve c**5/2 + 7*c**4/2 + 19*c**3/2 + 25*c**2/2 + 8*c + 2 = 0 for c.
-2, -1
Factor l**3/5 - 232*l**2/5.
l**2*(l - 232)/5
Factor -3*i**5/4 + 3*i**3/2 - 3*i/4.
-3*i*(i - 1)**2*(i + 1)**2/4
Solve 7*q**5 + 37*q**4 - 186*q**3 - 280*q**2 - 64*q = 0 for q.
-8, -1, -2/7, 0, 4
Factor 3*t**2 + 8694*t - 8697.
3*(t - 1)*(t + 2899)
Factor -5*r**4/3 + 80*r**3/3 + 85*r**2/3.
-5*r**2*(r - 17)*(r + 1)/3
Suppose -4*j**4 - 4*j**3 + 12*j**2 + 2