(j + 29)
Factor 2*d**2/11 - 874*d/11 - 876/11.
2*(d - 438)*(d + 1)/11
Factor s**2 + 675*s.
s*(s + 675)
Factor -4*y**5/5 - 14*y**4/5 - 18*y**3/5 - 2*y**2 - 2*y/5.
-2*y*(y + 1)**3*(2*y + 1)/5
Let -k**5/4 - k**4/4 + 55*k**3/2 - 269*k**2/2 + 755*k/4 - 325/4 = 0. What is k?
-13, 1, 5
Factor 2*u**2 + 36*u/7 + 16/7.
2*(u + 2)*(7*u + 4)/7
Suppose -y**3/4 - 5*y**2/2 + y + 10 = 0. What is y?
-10, -2, 2
Suppose 3*l**3/4 + 9*l**2/2 - 39*l/4 - 63/2 = 0. What is l?
-7, -2, 3
Factor 5*s**2 + 170*s + 165.
5*(s + 1)*(s + 33)
Factor 1125*u**4 - 7050*u**3 + 1820*u**2 - 120*u.
5*u*(u - 6)*(15*u - 2)**2
Let -2*f**3/7 + 762*f**2/7 - 1516*f/7 = 0. What is f?
0, 2, 379
Let -5*v**2 - 545*v + 1110 = 0. Calculate v.
-111, 2
Solve -3*s**3 - 174*s**2 - 1101*s - 1530 = 0.
-51, -5, -2
Factor -2*z**2 - 207*z - 42849/8.
-(4*z + 207)**2/8
Find k, given that -2*k**3/3 + 20*k**2/3 + 176*k = 0.
-12, 0, 22
Factor -b**4/3 - 14*b**3/3 + 101*b**2/3 + 38*b.
-b*(b - 6)*(b + 1)*(b + 19)/3
Determine j, given that -2*j**4/7 - 10*j**3/7 + 138*j**2/7 - 342*j/7 + 216/7 = 0.
-12, 1, 3
Solve -2*g**3/13 - 368*g**2/13 = 0 for g.
-184, 0
Solve 15*m**4/2 - 42*m**3 + 45*m**2 + 54*m - 81/2 = 0 for m.
-1, 3/5, 3
Factor -w**3 - 32*w**2/3 + 13*w/3 + 22/3.
-(w - 1)*(w + 11)*(3*w + 2)/3
Factor 4*h**4 - 160*h**3 + 308*h**2 - 152*h.
4*h*(h - 38)*(h - 1)**2
Factor -o**2/4 + 57*o/4 - 55/2.
-(o - 55)*(o - 2)/4
Factor -2*a**2/7 - 10*a/7 + 48/7.
-2*(a - 3)*(a + 8)/7
Factor 2*q**3/13 + 98*q**2/13 + 412*q/13 - 1232/13.
2*(q - 2)*(q + 7)*(q + 44)/13
Determine b so that 3*b**2 + 90*b + 672 = 0.
-16, -14
Factor -3*j**2/5 - 768*j/5 + 771/5.
-3*(j - 1)*(j + 257)/5
Determine l so that -l**4/3 - 1069*l**3 - 2576018*l**2/3 - 2568540*l - 1710936 = 0.
-1602, -2, -1
What is x in 1805*x**3 + 8455*x**2 - 2805*x + 225 = 0?
-5, 3/19
Factor t**2 + 4*t - 5.
(t - 1)*(t + 5)
Determine c, given that -2*c**5/5 + 24*c**4/5 - 42*c**3/5 + 4*c**2 = 0.
0, 1, 10
Solve 108*x**5 - 1080*x**4 + 4032*x**3 - 6656*x**2 + 4096*x = 0.
0, 2, 8/3
Factor p**4/4 - 5*p**3/2 + 8*p**2 - 8*p.
p*(p - 4)**2*(p - 2)/4
Suppose -500*j**5 - 56800*j**4 - 33620*j**3 + 31688*j**2 + 5392*j - 3616 = 0. What is j?
-113, -1, -2/5, 2/5
Factor -5*j**3 - 40*j**2 + 60*j + 720.
-5*(j - 4)*(j + 6)**2
Factor -f**2/8 + 3*f/2 + 45/8.
-(f - 15)*(f + 3)/8
Factor m**5/2 - 22*m**4 + 282*m**3 - 880*m**2 + 800*m.
m*(m - 20)**2*(m - 2)**2/2
Find j, given that -4*j**3 - 172*j**2 - 2464*j - 11760 = 0.
-15, -14
Find z, given that -2*z**5 + 16*z**4 - 24*z**3 - 4*z**2 + 26*z - 12 = 0.
-1, 1, 6
Determine w so that -w**5 - 18*w**4/5 + 23*w**3/5 + 44*w**2/5 - 12*w + 16/5 = 0.
-4, -2, 2/5, 1
Determine u, given that u**4/4 + 12*u**3 - 75*u**2/2 + 38*u - 51/4 = 0.
-51, 1
Let 5*r**3/3 + 95*r**2 + 440*r + 1040/3 = 0. What is r?
-52, -4, -1
Let -u**3/2 - 7*u**2 - 11*u/2 + 13 = 0. Calculate u.
-13, -2, 1
Find w such that 64*w**4 + 38432*w**3 - 57756*w**2 + 21668*w - 2408 = 0.
-602, 1/4, 1
Factor 4*o**2 + 92*o + 528.
4*(o + 11)*(o + 12)
Find s such that s**3 - 4368*s**2 + 6359808*s - 3086626816 = 0.
1456
Factor -5*i**3 - 55*i**2 + 45*i + 495.
-5*(i - 3)*(i + 3)*(i + 11)
Suppose -3*z**3 - 699*z**2 - 40365*z + 41067 = 0. Calculate z.
-117, 1
Find p, given that 2*p**3/11 + 470*p**2/11 - 1424*p/11 + 952/11 = 0.
-238, 1, 2
Let -5*k**4 + 30*k**3 + 35*k**2 - 180*k - 180 = 0. What is k?
-2, -1, 3, 6
Factor -p**2 + 8*p + 9.
-(p - 9)*(p + 1)
Suppose 2*w**4 - 34*w**3 - 38*w**2 + 34*w + 36 = 0. Calculate w.
-1, 1, 18
Determine p, given that -p**4/8 - 17*p**3/8 - 7*p**2/4 + 4*p = 0.
-16, -2, 0, 1
Suppose -6*q**2/11 + 2736*q/11 - 311904/11 = 0. Calculate q.
228
Factor -4*r**2 - 536*r - 532.
-4*(r + 1)*(r + 133)
Factor -n**2/5 - 56*n - 279/5.
-(n + 1)*(n + 279)/5
Find n such that n**2/4 - 139*n/4 = 0.
0, 139
Factor 3*j**2/5 - 21*j/5 - 18.
3*(j - 10)*(j + 3)/5
Solve -3*f**4 + 15*f**3 - 9*f**2 - 15*f + 12 = 0.
-1, 1, 4
Determine o, given that 2*o**4/5 - 67*o**3/5 + 471*o**2/5 + 1512*o/5 + 972/5 = 0.
-3/2, -1, 18
Factor -p**5 - 15*p**4 - 72*p**3 - 104*p**2 + 48*p + 144.
-(p - 1)*(p + 2)**2*(p + 6)**2
Determine z so that 2*z**4/3 + 382*z**3/3 - 386*z**2/3 - 382*z/3 + 128 = 0.
-192, -1, 1
Factor 2*d**4/5 - 12*d**3/5 + 22*d**2/5 - 12*d/5.
2*d*(d - 3)*(d - 2)*(d - 1)/5
Find v, given that -4*v**4/7 + 64*v**3/7 - 108*v**2/7 - 64*v/7 + 16 = 0.
-1, 1, 2, 14
Let 20*h**5 + 48*h**4 - 224*h**3 + 184*h**2 + 12*h - 40 = 0. What is h?
-5, -2/5, 1
Solve -3*i**5 + 21*i**4 - 9*i**3 - 69*i**2 + 96*i - 36 = 0 for i.
-2, 1, 6
Solve -15*x**2 - 2*x = 0.
-2/15, 0
Factor 2*j**3 + 24*j**2 + 90*j + 100.
2*(j + 2)*(j + 5)**2
Find c, given that -3*c**5/5 - 96*c**4 - 948*c**3/5 + 6*c**2/5 + 951*c/5 + 474/5 = 0.
-158, -1, 1
Factor 8*t**4/3 - 52*t**3/3 + 43*t**2/2 - 23*t/3 + 5/6.
(t - 5)*(t - 1)*(4*t - 1)**2/6
Solve 4*n**3 + 92*n**2 + 224*n - 3920 = 0.
-14, 5
Determine t so that -5*t**3/3 + 34*t**2/3 - 67*t/3 + 38/3 = 0.
1, 2, 19/5
Let -r**5/3 + 26*r**4 - 676*r**3 + 17576*r**2/3 = 0. Calculate r.
0, 26
Factor 3*x**2/2 + 213*x/8 - 27/4.
3*(x + 18)*(4*x - 1)/8
Factor -27*d**3 + 6*d**2 + 108*d - 24.
-3*(d - 2)*(d + 2)*(9*d - 2)
Solve 3*d**2 - 282*d - 285 = 0 for d.
-1, 95
Factor -2*h**2/3 + h + 2/3.
-(h - 2)*(2*h + 1)/3
Suppose 50*i**5 - 255*i**4 + 175*i**3 + 235*i**2 - 225*i + 20 = 0. What is i?
-1, 1/10, 1, 4
Factor -w**3/6 + 7*w**2/3 + 31*w/6 + 8/3.
-(w - 16)*(w + 1)**2/6
Let 3*d**5/4 - 6*d**4 - 171*d**3/4 + 219*d**2 - 231*d = 0. What is d?
-7, 0, 2, 11
Determine s so that 25*s**5 - 190*s**4 - 605*s**3 - 10*s**2 + 580*s + 200 = 0.
-2, -1, -2/5, 1, 10
Factor y**5/6 + 5*y**4/6 - 14*y**3/3 - 16*y**2/3.
y**2*(y - 4)*(y + 1)*(y + 8)/6
Find h, given that -4*h**2 - 156*h + 328 = 0.
-41, 2
Factor 2*s**3 + 118*s**2.
2*s**2*(s + 59)
Find p such that 28*p**4/5 - 132*p**3/5 - 2248*p**2 - 14640*p - 4000 = 0.
-10, -2/7, 25
Factor 2*n**4/7 - 6*n**3/7 - 44*n**2/7 + 48*n/7.
2*n*(n - 6)*(n - 1)*(n + 4)/7
Solve -t**5/2 - 13*t**4/8 - 7*t**3/8 + 11*t**2/8 + 11*t/8 + 1/4 = 0.
-2, -1, -1/4, 1
Factor 2*k**5 - 32*k**3 - 76*k**2 - 66*k - 20.
2*(k - 5)*(k + 1)**3*(k + 2)
Find m such that 2*m**5/5 - 454*m**3/5 + 3204*m**2/5 - 5056*m/5 + 2304/5 = 0.
-18, 1, 8
Factor 5*l**2 + 85*l.
5*l*(l + 17)
Factor 2*v**2 - 18*v - 72.
2*(v - 12)*(v + 3)
Factor 2*h**4 - 36*h**2 - 64*h - 30.
2*(h - 5)*(h + 1)**2*(h + 3)
Let -3*w**2/7 + 3660*w/7 + 7332/7 = 0. Calculate w.
-2, 1222
Suppose 45*i**4 + 105*i**3 - 535*i**2 + 315*i - 50 = 0. What is i?
-5, 1/3, 2
Solve -2*q**3 + 44*q**2 + 96*q = 0 for q.
-2, 0, 24
Factor -2*p**2 - 56*p - 54.
-2*(p + 1)*(p + 27)
Factor j**3/2 + j**2 + j/2.
j*(j + 1)**2/2
Factor x**4 + 290*x**3 + 20733*x**2 - 42340*x + 21316.
(x - 1)**2*(x + 146)**2
Solve -l**4 + 6*l**3 - 11*l**2 + 6*l = 0.
0, 1, 2, 3
Determine h so that -4*h**4 - 40*h**3 - 84*h**2 = 0.
-7, -3, 0
Factor 45*i**3 + 2400*i**2 - 1615*i + 270.
5*(i + 54)*(3*i - 1)**2
Factor 12*x**3 - 124*x**2 + 32*x + 80.
4*(x - 10)*(x - 1)*(3*x + 2)
Factor 2*r**2 - 3164*r + 3162.
2*(r - 1581)*(r - 1)
Factor u**4/4 - u**3/2 - 4*u**2 + 8*u.
u*(u - 4)*(u - 2)*(u + 4)/4
Let 2*c**2 + 178*c - 180 = 0. What is c?
-90, 1
Let -5*m**2 - 645*m - 1270 = 0. What is m?
-127, -2
Factor -76*p**4 + 232*p**3 + 692*p**2 + 384*p.
-4*p*(p + 1)**2*(19*p - 96)
Suppose 2*g**2/9 - 730*g/9 + 2888/9 = 0. What is g?
4, 361
Solve g**3/9 + 17*g**2/9 + 55*g/9 + 13/3 = 0.
-13, -3, -1
Factor 2*q**2/9 + 640*q + 460800.
2*(q + 1440)**2/9
Factor -2*u**4/11 + 144*u**3/11 - 208*u**2 - 10944*u/11 - 11552/11.
-2*(u - 38)**2*(u + 2)**2/11
Determine m so that -20*m**4 + 104*m**3 - 60*m**2 - 152*m + 32 = 0.
-1, 1/5, 2, 4
Factor 2916*c**3 - 1404*c**2 - 1316*c - 196.
4*(c - 1)*(27*c + 7)**2
Factor 2*i**4 + 72*i**3 + 648*i**2.
2*i**2*(i + 18)**2
Factor 3*r**4/5 - 813*r**3/5 - 816*r**2/5.
3*r**2*(r - 272)*(r + 1)/5
Factor -m**4/4 + 3*m**3/2 - 11*m**2/4 + 3*m/2.
-m*(m - 3)*(m - 2)*(m - 1)/4
Find f such that -93*f**2 - 180*f + 12 = 0.
-2, 2/31
Factor 2*d**2 - 126*d + 784.
2*(d - 56)*(d - 7)
Factor 25*y**5 + 51*y**4 + 27*y**3 + y**2.
y**2*(y + 1)**2*(25*y + 1)
Solve -2*u**4 - 26*u**3 - 52*u**2 + 80*u = 0 for u.
-10, -4, 0, 1
What is n in 3*n**5/7 - 12*n**3/7 = 0?
-2, 0, 2
What is b in b**2 + 24*b/11 + 4/11 = 0?
-2, -2/11
Factor 90*v**4 - 4045*v**3 - 225*v**2.
5*v**2*(v - 45)*(18*v + 1)
Let -50*y**4 + 36160*y**3 - 6523248*y**2 - 5235968*y - 1048352 = 0. Calculate y.
-2