1
Factor 2*f**3 + 76*f**2 + 144*f.
2*f*(f + 2)*(f + 36)
Factor 46*u**2 + 8*u/13.
2*u*(299*u + 4)/13
Let u**4/2 - 4*u**3 + u**2/2 + 21*u = 0. What is u?
-2, 0, 3, 7
Find p, given that p**2/5 - 18*p/5 + 56/5 = 0.
4, 14
Factor 2*i**4/5 - 12*i**3/5 + 26*i**2/5 - 24*i/5 + 8/5.
2*(i - 2)**2*(i - 1)**2/5
What is j in 2*j**5 + 30*j**4 + 126*j**3 + 82*j**2 - 240*j = 0?
-8, -5, -3, 0, 1
Factor -5*s**2 - 610*s + 1240.
-5*(s - 2)*(s + 124)
Suppose f**2 + 95*f + 276 = 0. Calculate f.
-92, -3
Factor -3*u**2 + 21*u + 24.
-3*(u - 8)*(u + 1)
Let -4*d**4 - 92*d**3 - 404*d**2 + 92*d + 408 = 0. What is d?
-17, -6, -1, 1
Let 2*p**2/5 + 8*p/5 - 42/5 = 0. Calculate p.
-7, 3
Solve 16*v**4/7 - 60*v**3/7 + 48*v**2/7 + 16*v/7 = 0 for v.
-1/4, 0, 2
Suppose -2*g**3 - 172*g**2 - 3458*g - 20280 = 0. Calculate g.
-60, -13
Find n, given that 2*n**2 - 69*n = 0.
0, 69/2
Factor 2*v**2/3 - 212*v/3 + 1010/3.
2*(v - 101)*(v - 5)/3
Determine k, given that 2*k**4/3 - 24*k**3 + 188*k**2 + 1672*k/3 - 722 = 0.
-3, 1, 19
Let -h**3/5 - 4*h**2/5 - h/5 + 6/5 = 0. What is h?
-3, -2, 1
Factor -5*p**5 + 150*p**4 - 280*p**3.
-5*p**3*(p - 28)*(p - 2)
Factor -2*z**3/15 - 56*z**2/15 - 126*z/5 - 108/5.
-2*(z + 1)*(z + 9)*(z + 18)/15
Determine b so that 2*b**5 - 130*b**4 - 686*b**3 - 974*b**2 - 420*b = 0.
-3, -1, 0, 70
Find c, given that 3*c**3/7 - 11790*c**2/7 + 15444900*c/7 - 6744273000/7 = 0.
1310
Factor -z**2/3 - 30*z - 675.
-(z + 45)**2/3
Factor -d**4/2 - 42*d**3 + 621*d**2/2 - 722*d + 546.
-(d - 3)*(d - 2)**2*(d + 91)/2
Solve p**4/2 - 17*p**3/2 - 29*p**2 - 20*p = 0 for p.
-2, -1, 0, 20
Solve -4*s**2/7 - 520*s/7 - 16900/7 = 0 for s.
-65
Suppose 28*n**2 + 120*n + 32 = 0. Calculate n.
-4, -2/7
Let -2*s**3 + 40*s**2 - 74*s + 36 = 0. What is s?
1, 18
Factor -w**5/5 + 2*w**3 - 4*w**2 + 3*w - 4/5.
-(w - 1)**4*(w + 4)/5
Factor j**2 - 4*j - 5.
(j - 5)*(j + 1)
Factor -x**2/4 + 87*x/4 - 83.
-(x - 83)*(x - 4)/4
Factor -c**2/3 - 33*c - 98/3.
-(c + 1)*(c + 98)/3
Let -3*h**3/8 + 69*h**2/8 + 39*h/4 - 18 = 0. Calculate h.
-2, 1, 24
Suppose -5*c**3 - 1730*c**2 + 1735*c = 0. What is c?
-347, 0, 1
Factor 3*r**3/4 - 57*r**2/2 - 1587*r/4 - 735/2.
3*(r - 49)*(r + 1)*(r + 10)/4
Suppose 4*c**4 + 120*c**3 + 528*c**2 + 712*c + 300 = 0. Calculate c.
-25, -3, -1
Solve 2*u**4/5 + 14*u**3/5 + 2*u**2 - 14*u/5 - 12/5 = 0 for u.
-6, -1, 1
Let -4*p**3/3 + 124*p**2/3 - 220*p/3 - 116 = 0. Calculate p.
-1, 3, 29
Factor -g**2 - 529*g - 528.
-(g + 1)*(g + 528)
Solve 8*m**4 + 828*m**3 - 2535*m**2/2 - 1577*m/2 - 105 = 0.
-105, -1/4, 2
Factor -l**2/2 + 33*l - 1089/2.
-(l - 33)**2/2
Let 3*u**4 - 12*u**3 - 3*u**2 + 12*u = 0. What is u?
-1, 0, 1, 4
Factor v**5/3 + v**4/3 - 10*v**3/3 - 4*v**2/3 + 8*v.
v*(v - 2)**2*(v + 2)*(v + 3)/3
Suppose t**2/7 - 12*t/7 + 11/7 = 0. What is t?
1, 11
Let 5*i**4 - 75*i**2 - 50*i + 120 = 0. Calculate i.
-3, -2, 1, 4
What is q in 2*q**2/9 + 70*q/3 - 872/9 = 0?
-109, 4
Factor -9*q**2 - 6*q + 3.
-3*(q + 1)*(3*q - 1)
Suppose 2*z**5/7 + 18*z**4/7 - 20*z**3 = 0. Calculate z.
-14, 0, 5
Factor 2*a**3/5 - 58*a**2 + 12144*a/5 - 113256/5.
2*(a - 66)**2*(a - 13)/5
Factor -2*c**2/9 - 1126*c/9 - 748/3.
-2*(c + 2)*(c + 561)/9
Factor i**2/4 - 4*i + 7.
(i - 14)*(i - 2)/4
Find i such that -2*i**4 + 50*i**3 + 6*i**2 - 154*i + 100 = 0.
-2, 1, 25
Find o such that o**2/5 - 2116/5 = 0.
-46, 46
Factor 3*d**3 - 30*d**2 - 3*d + 30.
3*(d - 10)*(d - 1)*(d + 1)
Factor -f**3 + 20*f**2 - 53*f + 34.
-(f - 17)*(f - 2)*(f - 1)
What is v in 2*v**5 + 158*v**4/7 - 12*v**3/7 - 632*v**2/7 - 176*v/7 = 0?
-11, -2, -2/7, 0, 2
Factor h**3/10 - 79*h**2/5 + 313*h/10 - 78/5.
(h - 156)*(h - 1)**2/10
Suppose 16*y**3 + 52*y**2 + 12*y = 0. What is y?
-3, -1/4, 0
Factor -d**5/4 - 23*d**4/4 - 91*d**3/4 + 507*d**2/4.
-d**2*(d - 3)*(d + 13)**2/4
Factor 3*f**4 - 48*f**3 - 162*f**2 - 168*f - 57.
3*(f - 19)*(f + 1)**3
Solve -2*r**5 - 34*r**4 + 774*r**3 + 11218*r**2 - 41572*r - 51984 = 0.
-19, -1, 4, 18
Factor 5*c**5 + 20*c**4 + 25*c**3 + 10*c**2.
5*c**2*(c + 1)**2*(c + 2)
Factor 14*l**4 + 52*l**3 - 222*l**2/7 - 1040*l/7 + 800/7.
2*(l - 1)**2*(7*l + 20)**2/7
Suppose -2*u**2/13 - 22*u/13 - 36/13 = 0. Calculate u.
-9, -2
Factor 3*a**4/4 - 24*a**3 + 687*a**2/4 - 297*a/2.
3*a*(a - 22)*(a - 9)*(a - 1)/4
Factor o**3/4 + 3*o**2/4 + 3*o/4 + 1/4.
(o + 1)**3/4
Suppose -4*z**4 - 8372*z**3 + 16756*z**2 - 8380*z = 0. Calculate z.
-2095, 0, 1
Factor -5*z**4 - 25*z**3 + 330*z**2 + 2340*z + 3240.
-5*(z - 9)*(z + 2)*(z + 6)**2
Determine f so that -f**3 + 9*f**2 = 0.
0, 9
Factor -5*s**2 - 1480*s - 109520.
-5*(s + 148)**2
Factor k**2 - 382*k - 1155.
(k - 385)*(k + 3)
Find s such that 5*s**3 - 70*s**2 + 295*s - 350 = 0.
2, 5, 7
Factor -n**5/11 - 108*n**4/11 + 442*n**3/11 - 668*n**2/11 + 447*n/11 - 112/11.
-(n - 1)**4*(n + 112)/11
Factor -l**3/8 + l**2 + 113*l/8 + 30.
-(l - 16)*(l + 3)*(l + 5)/8
Determine j so that 2*j**5/3 - 4*j**4/3 - 2*j**3 + 16*j**2/3 - 8*j/3 = 0.
-2, 0, 1, 2
Let -686*v**5/11 + 4704*v**4/11 - 10752*v**3/11 + 8192*v**2/11 = 0. What is v?
0, 16/7
Let -80*s**4 + 1195*s**3 + 2715*s**2 + 1525*s + 85 = 0. What is s?
-1, -1/16, 17
Determine k so that 48*k**4 + 910*k**3 + 3812*k**2 - 4760*k + 1200 = 0.
-10, 3/8, 2/3
Let 7*d**3/5 - d**2 = 0. Calculate d.
0, 5/7
Factor 20*q**5 + 105*q**4 + 205*q**3 + 185*q**2 + 75*q + 10.
5*(q + 1)**3*(q + 2)*(4*q + 1)
Solve -2*a**3/3 + 238*a**2 - 20634*a - 327610/3 = 0 for a.
-5, 181
Let 3*w**4/2 + 45*w**3/2 + 219*w**2/2 + 387*w/2 + 105 = 0. What is w?
-7, -5, -2, -1
Factor -4*x**2 + 16*x + 48.
-4*(x - 6)*(x + 2)
Let -c**2/5 + 9*c - 486/5 = 0. Calculate c.
18, 27
Factor c**2/9 + 44*c/9 + 475/9.
(c + 19)*(c + 25)/9
Suppose -7*i**4 - 39*i**3 - 38*i**2 + 24*i = 0. Calculate i.
-4, -2, 0, 3/7
Suppose 2*t**5/7 + 16*t**4/7 - 6*t**3/7 - 44*t**2/7 + 32*t/7 = 0. What is t?
-8, -2, 0, 1
Factor -245*y**2 - 3850*y - 15125.
-5*(7*y + 55)**2
Solve -285*i**2/8 - 5991*i/8 - 63/4 = 0.
-21, -2/95
Factor -6*w**2/13 - 160*w/13 + 54/13.
-2*(w + 27)*(3*w - 1)/13
Determine d, given that -405*d**2 - 1260*d - 980 = 0.
-14/9
Factor f**4/3 + 2*f**3/3 - 11*f**2/3 - 4*f + 12.
(f - 2)**2*(f + 3)**2/3
Solve 77*k**3 - 54*k**2 = 0 for k.
0, 54/77
Factor 2*a**3/15 - 870*a**2 + 1892250*a - 1371881250.
2*(a - 2175)**3/15
Factor -14*z**3/5 - 2*z**2 + 4*z/5.
-2*z*(z + 1)*(7*z - 2)/5
Factor -2*i**3 + 22*i**2 - 70*i + 50.
-2*(i - 5)**2*(i - 1)
Factor -3*v**4/5 - 11*v**3/5 + 8*v**2 - 12*v/5.
-v*(v - 2)*(v + 6)*(3*v - 1)/5
Solve 22*r**5 - 26*r**4 - 194*r**3 - 206*r**2 - 44*r + 16 = 0.
-1, 2/11, 4
Factor u**4/2 + 25*u**3/2 + 78*u**2 + 178*u + 136.
(u + 2)**2*(u + 4)*(u + 17)/2
What is q in -50*q**4 + 2830*q**3 - 1662*q**2 - 1006*q - 112 = 0?
-1/5, 1, 56
Find l, given that 6*l**5/11 + 12*l**4/11 - 6*l**3 - 24*l**2/11 + 168*l/11 - 96/11 = 0.
-4, -2, 1, 2
Suppose -2*y**3/3 + 22*y**2/3 = 0. What is y?
0, 11
Suppose 6*z**5/7 + 40*z**4/7 + 16*z**3/7 - 52*z**2/7 - 22*z/7 + 12/7 = 0. What is z?
-6, -1, 1/3, 1
Suppose 3*g**5/7 + 51*g**4/7 + 234*g**3/7 + 96*g**2/7 - 384*g/7 = 0. Calculate g.
-8, -2, 0, 1
Factor 3*t**2/4 - 1617*t/2 - 3246.
3*(t - 1082)*(t + 4)/4
Factor 5*d**3 - 2235*d**2 - 9000*d - 9020.
5*(d - 451)*(d + 2)**2
Let -j**5/5 + 201*j**4/5 + 612*j**3/5 + 4*j**2/5 - 816*j/5 = 0. What is j?
-2, 0, 1, 204
Factor s**2 - 20*s - 300.
(s - 30)*(s + 10)
Let 2*w**4/5 + 1738*w**3/5 + 380178*w**2/5 + 1128398*w/5 + 749956/5 = 0. Calculate w.
-433, -2, -1
Factor p**2/7 - 620*p/7 + 96100/7.
(p - 310)**2/7
Find y, given that -y**5 + 39*y**4 - 463*y**3 + 1581*y**2 - 1156*y = 0.
0, 1, 4, 17
What is t in -t**5/4 - t**4/2 + t**3/2 + t**2 - t/4 - 1/2 = 0?
-2, -1, 1
Solve 4*m**4 - 36*m**3 + 108*m**2 - 108*m = 0.
0, 3
Factor -j**5/2 - 11*j**4/2 - 18*j**3 - 16*j**2 + 16*j + 24.
-(j - 1)*(j + 2)**3*(j + 6)/2
Find j such that -2*j**3/23 + 10*j**2/23 + 44*j/23 + 32/23 = 0.
-2, -1, 8
Find z such that -4*z**2 - 104*z - 420 = 0.
-21, -5
Factor 4293*b**2 + 4290*b - 3.
3*(b + 1)*(1431*b - 1)
Factor 2*q**2/11 - 30*q/11 + 52/11.
2*(q - 13)*(q - 2)/11
Let -2*i**4 - 10*i**3 + 28*i**2 + 72*i - 144 = 0. Calculate i.
-6, -3, 2
Factor v**4 + 2098*v**3 + 1102497*v**2 + 2198704*v + 1098304.
(v + 1)**2*(v + 1048)**2
Let -2*q**2 + 1554*q + 1556 = 0. What is q?
-1, 778
Factor -16*n**2/3 - 22*n + 82/3.
-2*(n - 1)*(8*n + 41)/3
Let 2*l**3/15 - 16*l**2/5 + 102*l/5 - 52/3 = 0. What is l?
1, 10, 13
Factor 2*s**3/3 + 4*s**2 - 