 0. Calculate n.
-2, 3
Solve -2*d**3/11 + 416*d**2/11 - 22042*d/11 + 42436/11 = 0 for d.
2, 103
Let i**3/3 - 22*i**2/3 - 16*i = 0. Calculate i.
-2, 0, 24
Find k, given that -k**5/4 + k**4 - k**3/2 - k**2 + 3*k/4 = 0.
-1, 0, 1, 3
Find l such that -1866*l**5 + 3728*l**4 + 5606*l**3 - 7452*l**2 - 7480*l - 16 = 0.
-1, -2/933, 2
What is k in -3*k**2 - 9*k + 324 = 0?
-12, 9
Factor -3*y**4/5 + 3*y**3 - 24*y**2/5 + 12*y/5.
-3*y*(y - 2)**2*(y - 1)/5
Solve 9*a**3 - 291*a**2/2 - 255*a/2 = 0 for a.
-5/6, 0, 17
Find b, given that b**2/10 + 359*b/10 + 179/5 = 0.
-358, -1
Factor -19*f**4/4 + 52*f**3 + 11*f**2/4.
-f**2*(f - 11)*(19*f + 1)/4
Find b such that 3*b**3/7 + 216*b**2/7 - 1872*b/7 + 3840/7 = 0.
-80, 4
Factor -5*n**3 - 105*n**2 + 110*n.
-5*n*(n - 1)*(n + 22)
Let 2*l**4 - 4*l**3 - 118*l**2 + 120*l + 1800 = 0. Calculate l.
-5, 6
Factor -a**3 - 1505*a**2 - 565503*a + 567009.
-(a - 1)*(a + 753)**2
Suppose 3*i**3/7 + 138*i**2/7 + 264*i/7 = 0. Calculate i.
-44, -2, 0
Factor -2*l**3/13 - 18*l**2/13 - 16*l/13.
-2*l*(l + 1)*(l + 8)/13
Solve 21*j**3 - 555*j**2 + 2475*j + 16875 = 0 for j.
-25/7, 15
Factor b**2/10 + 13*b/10 - 7/5.
(b - 1)*(b + 14)/10
Factor -42*r**2 - 974*r + 140.
-2*(3*r + 70)*(7*r - 1)
Factor u**4/11 - 3*u**3/11 - 9*u**2/11 - 5*u/11.
u*(u - 5)*(u + 1)**2/11
Factor -2*z**4/21 - 16*z**3/7 - 368*z**2/21 - 320*z/7 - 800/21.
-2*(z + 2)**2*(z + 10)**2/21
Factor m**3 - 38*m**2 + 73*m - 36.
(m - 36)*(m - 1)**2
Factor -4*m**4/5 + 52*m**3/5 - 92*m**2/5 + 44*m/5.
-4*m*(m - 11)*(m - 1)**2/5
Let -z**5/4 + 15*z**4/4 - 18*z**3 + 28*z**2 = 0. What is z?
0, 4, 7
Determine w, given that -5*w**3/4 - 50*w**2 - 2185*w/4 - 1805/2 = 0.
-19, -2
Find k, given that 9*k**5/5 - 61*k**4/5 + 31*k**3/5 + 73*k**2/5 - 8*k - 12/5 = 0.
-1, -2/9, 1, 6
Find u such that -2*u**4 + 1390*u**3 - 4152*u**2 - 8*u + 5536 = 0.
-1, 2, 692
Find w such that -4*w**5 - 32*w**4 - 92*w**3 - 112*w**2 - 48*w = 0.
-3, -2, -1, 0
Determine v, given that -7*v**3/3 - 863*v**2 - 79735*v + 34225/3 = 0.
-185, 1/7
Find n such that -6*n**5 - 33*n**4 - 45*n**3 + 15*n**2 + 51*n + 18 = 0.
-3, -2, -1, -1/2, 1
Find h such that h**2/2 - 5*h/2 + 2 = 0.
1, 4
Factor n**2/5 - 17*n/5 + 12.
(n - 12)*(n - 5)/5
Solve -w**2/5 - 72*w/5 + 73/5 = 0.
-73, 1
Factor u**3/7 - 9*u/7.
u*(u - 3)*(u + 3)/7
Let a**5 + 6*a**4 - 170*a**3 + 768*a**2 - 1055*a + 450 = 0. What is a?
-18, 1, 5
Factor 605*g**3 + 8250*g**2 - 3060*g + 280.
5*(g + 14)*(11*g - 2)**2
Solve -25*g**4/3 - 1345*g**3/3 + 4636*g**2/3 + 4348*g/3 + 304 = 0.
-57, -2/5, 4
Factor -c**4/5 - 8*c**3/5 - 23*c**2/5 - 28*c/5 - 12/5.
-(c + 1)*(c + 2)**2*(c + 3)/5
Solve -15*k**4/4 + 95*k**3/4 - 165*k**2/4 + 105*k/4 - 5 = 0 for k.
1/3, 1, 4
Factor 2*f**4 + 294*f**3 + 1710*f**2 + 2546*f + 1128.
2*(f + 1)**2*(f + 4)*(f + 141)
Find l such that 1445*l**2/6 - 48450*l + 2436750 = 0.
1710/17
Suppose -2*a**5 - 154*a**4 - 876*a**3 - 1724*a**2 - 1426*a - 426 = 0. What is a?
-71, -3, -1
Factor -2*m**4 + 244*m**3 + 494*m**2 + 248*m.
-2*m*(m - 124)*(m + 1)**2
Suppose 2*o**2/5 - 24*o/5 - 56/5 = 0. What is o?
-2, 14
Factor 2*u**2/13 + 854*u/13.
2*u*(u + 427)/13
Factor 3*o**4/2 + 15*o**3/2 - 81*o**2 + 186*o - 132.
3*(o - 2)**3*(o + 11)/2
Factor -3*m**5 - 18*m**4 - 24*m**3 + 6*m**2 + 27*m + 12.
-3*(m - 1)*(m + 1)**3*(m + 4)
Find g, given that -2*g**5 - 594*g**4 - 2346*g**3 - 574*g**2 + 3516*g = 0.
-293, -3, -2, 0, 1
Factor 2*j**2/5 - 34*j - 172/5.
2*(j - 86)*(j + 1)/5
Suppose -18*q**3/19 + 254*q**2/19 - 460*q/19 + 48/19 = 0. What is q?
1/9, 2, 12
Suppose 2*l**2/19 - 4678*l/19 - 4680/19 = 0. Calculate l.
-1, 2340
What is l in -98*l**5/11 - 39060*l**4/11 + 56006*l**3/11 + 2360*l**2/11 - 16008*l/11 - 3200/11 = 0?
-400, -2/7, 1
Suppose 16*v**5 - 3180*v**4 - 796*v**3 = 0. Calculate v.
-1/4, 0, 199
Factor 2*p**2 - 364*p - 1488.
2*(p - 186)*(p + 4)
Find k such that -k**4/7 - 768*k**3/7 - 2298*k**2/7 - 328*k - 765/7 = 0.
-765, -1
Factor 2*x**2/21 + 22*x/21.
2*x*(x + 11)/21
Find o, given that -3*o**5/7 - 3*o**4/7 = 0.
-1, 0
Solve -2*a**3/7 + 128*a**2/7 - 230*a - 2100 = 0.
-6, 35
Find c, given that 12*c**3 - 496*c**2 + 644*c - 160 = 0.
1/3, 1, 40
Solve -6*h**2/5 + 16*h/5 - 8/5 = 0 for h.
2/3, 2
Let -2*b**5/9 - 4*b**4/3 - 14*b**3/9 + 4*b**2/3 + 16*b/9 = 0. What is b?
-4, -2, -1, 0, 1
Suppose -2*k**2/3 - 62*k/3 - 116/3 = 0. Calculate k.
-29, -2
Solve 2*b**2/5 - 592*b/5 + 118 = 0.
1, 295
Suppose -4*m**2 - 84*m - 152 = 0. What is m?
-19, -2
Let 2*g**3/3 + 185*g**2/3 + 452*g/3 + 60 = 0. Calculate g.
-90, -2, -1/2
Determine v, given that 2*v**4/19 - 122*v**3/19 + 236*v**2/19 = 0.
0, 2, 59
Factor p**4/2 - 26*p**3 + 23*p**2 + 126*p + 153/2.
(p - 51)*(p - 3)*(p + 1)**2/2
Let 3*z**4/2 - 6*z**3 + 6*z**2 = 0. Calculate z.
0, 2
What is p in -32*p**4/15 - 47728*p**3/15 - 5928214*p**2/5 + 8901272*p/15 - 1113032/15 = 0?
-746, 1/4
What is i in -2*i**5/13 - 24*i**4/13 - 90*i**3/13 - 100*i**2/13 = 0?
-5, -2, 0
Factor 2*o**3/3 - 38*o**2/3 + 42*o - 30.
2*(o - 15)*(o - 3)*(o - 1)/3
Determine r, given that 2401*r**2/3 - 196*r/3 + 4/3 = 0.
2/49
Factor 302*j**3 - 1816*j**2 + 1534*j - 20.
2*(j - 5)*(j - 1)*(151*j - 2)
Suppose s**2/4 + 36*s - 145/4 = 0. Calculate s.
-145, 1
Let 4*m**2 - 84*m + 80 = 0. Calculate m.
1, 20
What is m in 4*m**5/3 - 10*m**4/3 + 8*m**3/3 - 2*m**2/3 = 0?
0, 1/2, 1
Factor -4*k**5 + 52*k**4 - 232*k**3 + 424*k**2 - 340*k + 100.
-4*(k - 5)**2*(k - 1)**3
Find n, given that 3*n**3 + 15*n**2 - 18*n = 0.
-6, 0, 1
Let d**3/4 - 3*d**2/4 - 5*d/2 = 0. Calculate d.
-2, 0, 5
Suppose f**5 - 4*f**4 - 5*f**3 + 20*f**2 + 4*f - 16 = 0. What is f?
-2, -1, 1, 2, 4
Factor -11*s**4/8 - 5*s**3/4 + s**2/8.
-s**2*(s + 1)*(11*s - 1)/8
Let s**4/7 + 38*s**3/7 + 361*s**2/7 = 0. What is s?
-19, 0
Factor 2*j**5 - 48*j**3 + 128*j**2 - 96*j.
2*j*(j - 2)**3*(j + 6)
Factor -t**3/4 - 9*t**2/4 - 2*t.
-t*(t + 1)*(t + 8)/4
Factor q**3 - 25*q**2 + 168*q - 144.
(q - 12)**2*(q - 1)
Determine j, given that -9*j**3/2 - 85*j**2 + 19*j/2 = 0.
-19, 0, 1/9
Factor 2*l**3 - 96*l**2 + 1536*l - 8192.
2*(l - 16)**3
Let q**4/4 + 44*q**3 - 725*q**2/4 - 225*q = 0. What is q?
-180, -1, 0, 5
Suppose -y**2/7 + 968*y/7 - 234256/7 = 0. What is y?
484
Factor -2*u**2/11 + 14*u/11 + 16/11.
-2*(u - 8)*(u + 1)/11
Factor 2*m**3 + 28*m**2 - 328*m + 528.
2*(m - 6)*(m - 2)*(m + 22)
Suppose 5*g**3/3 - 685*g**2 + 8155*g/3 - 2035 = 0. Calculate g.
1, 3, 407
Suppose -5*u**3/2 + 5*u**2 + 25*u/2 - 15 = 0. Calculate u.
-2, 1, 3
Determine m so that m**2/6 - 905*m/6 + 452/3 = 0.
1, 904
What is d in -5*d**2 + 145*d = 0?
0, 29
Determine j, given that 84*j**2 + 2*j - 2 = 0.
-1/6, 1/7
Find c such that 33*c**3/5 - 369*c**2 + 1647*c/5 + 33 = 0.
-1/11, 1, 55
Factor 3*t**2 + 6*t + 3.
3*(t + 1)**2
Determine t, given that -13689*t**5 + 3393*t**4 + 7424*t**3 + 2520*t**2 + 336*t + 16 = 0.
-2/9, -2/13, 1
Suppose 5*c**2 + 40*c - 165 = 0. What is c?
-11, 3
Suppose -5*v**2 - 202*v - 80 = 0. What is v?
-40, -2/5
What is c in -c**2 - 1602*c - 641601 = 0?
-801
Factor -2*r**3/3 - 8*r**2 - 70*r/3.
-2*r*(r + 5)*(r + 7)/3
Find g such that 6*g**4 - 196*g**3 + 126*g**2 + 64*g = 0.
-1/3, 0, 1, 32
Factor 2*y**2/3 + 2*y/3 - 4.
2*(y - 2)*(y + 3)/3
Solve 2*o**2 - 10*o + 8 = 0.
1, 4
Factor 3*a**3 + 36*a**2 - 297*a + 486.
3*(a - 3)**2*(a + 18)
Suppose -5*i**2 - 55*i = 0. Calculate i.
-11, 0
Find i such that 3*i**5 + 8*i**4 - 6*i**3 - 8*i**2 + 3*i = 0.
-3, -1, 0, 1/3, 1
Suppose -45*s**4 - 80*s**3 + 20*s**2 = 0. What is s?
-2, 0, 2/9
Factor 5*b**4 - 15*b**3 - 10*b**2 + 60*b - 40.
5*(b - 2)**2*(b - 1)*(b + 2)
Factor -5*d**2 + 260*d + 540.
-5*(d - 54)*(d + 2)
What is b in b**5/4 + 9*b**4/8 - 37*b**3/4 + 63*b**2/8 = 0?
-9, 0, 1, 7/2
Factor -2*k**5 + 12*k**4.
-2*k**4*(k - 6)
Factor -a**3 - 2*a**2 + 735*a - 7200.
-(a - 15)**2*(a + 32)
Factor 4*x**3 + 40*x**2 - 768*x - 8064.
4*(x - 14)*(x + 12)**2
Factor i**4 - i**3 - 96*i**2 + 396*i.
i*(i - 6)**2*(i + 11)
Determine l so that 9*l**4/5 - 1029*l**3/5 + 333*l**2/5 + 1029*l/5 - 342/5 = 0.
-1, 1/3, 1, 114
Suppose 605*l**5 + 715*l**4 - 490*l**3 - 710*l**2 - 115*l - 5 = 0. What is l?
-1, -1/11, 1
Factor -4*y**2 - 28*y - 24.
-4*(y + 1)*(y + 6)
Factor -b**3 - 4*b**2 + 84*b - 144.
-(b - 6)*(b - 2)*(b + 12)
Factor 3*w**3/2 + 27*w**2/2 - 6*w - 54.
3*(w - 2)*(w + 2)*(w + 9)/2
Factor -50*o**2 + 180*o - 162.
-2*(5*o - 9)**2
Suppose 4*b**5/9 + 28*b**4/9 + 28*b**3/9 - 92*b**2/9 - 176*b/9 - 