/2 - 10*y**2 + 42*y - 40.
(y - 4)*(y - 2)**2*(y + 5)/2
Find i, given that 4*i**3/7 + 88*i**2/7 + 12*i = 0.
-21, -1, 0
Let 2*k**2 - 220*k + 1442 = 0. What is k?
7, 103
Find d, given that -5*d**2 - 1955*d + 7900 = 0.
-395, 4
Find r such that -14*r**4/5 - 22*r**3 - 166*r**2/5 - 58*r/5 + 12/5 = 0.
-6, -1, 1/7
Factor g**3/2 - 2*g**2 + 5*g/2 - 1.
(g - 2)*(g - 1)**2/2
Factor -11*p**3 - 85*p**2/4 - 19*p/2 + 3/4.
-(p + 1)**2*(44*p - 3)/4
Factor 3*b**5/5 - 12*b**4/5 - 36*b**3/5 - 6*b**2/5 + 33*b/5 + 18/5.
3*(b - 6)*(b - 1)*(b + 1)**3/5
Suppose -3*j**3 - 354*j**2 - 10080*j + 21600 = 0. What is j?
-60, 2
Find x such that -486*x**2 - 976*x - 8 = 0.
-2, -2/243
Factor -24*t**4/5 - 28*t**3/5 + 16*t**2/5 + 4*t.
-4*t*(t + 1)**2*(6*t - 5)/5
Let 8*l**5/3 - 46*l**4/3 - 36*l**3 + 680*l**2/3 - 592*l/3 - 64 = 0. Calculate l.
-4, -1/4, 2, 6
Let -3*d**4 + 27*d**3 + 12*d**2 - 468*d + 432 = 0. What is d?
-4, 1, 6
Suppose 2*o**4/7 - 228*o**3/7 + 8378*o**2/7 - 107160*o/7 + 441800/7 = 0. What is o?
10, 47
Factor -d**4/8 - 143*d**3/4 - 19869*d**2/8 + 20735*d/2 - 21025/2.
-(d - 2)**2*(d + 145)**2/8
Factor 3*i**4 + 36*i**3 + 60*i**2.
3*i**2*(i + 2)*(i + 10)
Factor -r**2 + 1678*r - 703921.
-(r - 839)**2
Find p such that -16*p**3/7 + 52*p**2/7 - 44*p/7 + 8/7 = 0.
1/4, 1, 2
Factor 2*h**3 + 8*h**2 + 2*h - 12.
2*(h - 1)*(h + 2)*(h + 3)
Factor -q**2/2 - 440*q/3 - 293/6.
-(q + 293)*(3*q + 1)/6
Factor -2*d**2/3 + 26*d/3 + 112.
-2*(d - 21)*(d + 8)/3
Suppose -4*r**5 - 4*r**4 + 84*r**3 + 4*r**2 - 80*r = 0. What is r?
-5, -1, 0, 1, 4
Solve -20*n**4/3 - 4*n**3 + 8*n**2/3 = 0.
-1, 0, 2/5
Factor -2*z**4/5 - 312*z**3/5 - 17928*z**2/5 - 89856*z - 829440.
-2*(z + 30)**2*(z + 48)**2/5
Find z, given that 2*z**5 + 20*z**4 - 4*z**3 - 256*z**2 + 434*z - 196 = 0.
-7, 1, 2
Suppose -138*r**5 - 114*r**4 - 21*r**3/2 + 6*r**2 = 0. Calculate r.
-1/2, 0, 4/23
Factor 2*w**4/7 - 44*w**3/7 + 80*w**2/7.
2*w**2*(w - 20)*(w - 2)/7
What is y in 6*y**4/7 + 33*y**3/7 + 39*y**2/7 + 12*y/7 = 0?
-4, -1, -1/2, 0
Solve s**4/2 - 3*s**3 - 150*s**2 - 548*s - 528 = 0 for s.
-12, -2, 22
Determine z, given that 2*z**4 + 8*z**3 - 50*z**2 - 200*z = 0.
-5, -4, 0, 5
Determine v, given that -2*v**3 - 2*v**2 + 170*v - 550 = 0.
-11, 5
Determine g so that 4*g**5/5 - 286*g**4/5 + 4414*g**3/5 + 25528*g**2/5 + 9272*g/5 - 11552/5 = 0.
-4, -1, 1/2, 38
Factor 4*n**3 - 68*n**2 - 148*n - 76.
4*(n - 19)*(n + 1)**2
Let 4*f**5 - 128*f**4 + 888*f**3 + 2176*f**2 + 1156*f = 0. Calculate f.
-1, 0, 17
Solve 2*d**2/7 - 632*d/7 - 2560/7 = 0.
-4, 320
What is y in 4*y**5/7 + 44*y**4/7 + 180*y**3/7 + 340*y**2/7 + 296*y/7 + 96/7 = 0?
-4, -3, -2, -1
Let -2*j**3 - 472*j**2 + 474*j = 0. Calculate j.
-237, 0, 1
Factor -29*m**3/2 - m**2 + 58*m + 4.
-(m - 2)*(m + 2)*(29*m + 2)/2
Suppose -v**5/4 + 3*v**4/4 + 73*v**3/4 + 173*v**2/4 - 18*v - 44 = 0. Calculate v.
-4, -1, 1, 11
Let -14*v**4/9 - 82*v**3/9 - 118*v**2/9 + 58*v/9 + 52/3 = 0. What is v?
-3, -2, -13/7, 1
Factor 2*s**2/7 - 156*s/7 + 450/7.
2*(s - 75)*(s - 3)/7
Suppose -6*q**3/5 + 518*q**2/5 - 2152*q/5 + 328 = 0. What is q?
1, 10/3, 82
Factor -2*n**2 - 62*n - 60.
-2*(n + 1)*(n + 30)
Factor 5*r**3 + 3455*r**2 - 5*r - 3455.
5*(r - 1)*(r + 1)*(r + 691)
Find y, given that 2*y**2 + 32*y = 0.
-16, 0
Factor -5*t**3 + 15*t - 10.
-5*(t - 1)**2*(t + 2)
Factor z**5 - 157*z**4 + 5422*z**3 + 57546*z**2 + 181521*z + 186003.
(z - 83)**2*(z + 3)**3
Determine a, given that -a**4 - 47*a**3 - 720*a**2 - 3564*a = 0.
-18, -11, 0
Factor -2*v**2 + 634*v + 1920.
-2*(v - 320)*(v + 3)
Let -3*t**3/7 - 394*t**2/7 - 905*t/7 - 258/7 = 0. What is t?
-129, -2, -1/3
Solve -2*h**4/3 + 274*h**3/3 - 3502*h**2 + 158950*h/3 - 845036/3 = 0 for h.
17, 86
Factor 4*y**4 + 76*y**3 + 256*y**2 + 240*y.
4*y*(y + 2)**2*(y + 15)
Factor 5*l**2/2 + 45*l + 80.
5*(l + 2)*(l + 16)/2
Factor -g**4 - 466*g**3 - 54289*g**2.
-g**2*(g + 233)**2
Solve -10*t**4/7 + 16*t**3/7 + 138*t**2/7 + 152*t/7 + 40/7 = 0 for t.
-2, -1, -2/5, 5
Factor -5*s**3 - 30*s**2 + 35*s.
-5*s*(s - 1)*(s + 7)
Determine p, given that p**3/5 + 18*p**2 + 581*p/5 = 0.
-83, -7, 0
Suppose 9*m**4/8 + 33*m**3/8 + 9*m**2/4 - 9*m/2 - 3 = 0. Calculate m.
-2, -2/3, 1
Factor u**2/6 - 17*u/3 - 35/6.
(u - 35)*(u + 1)/6
Factor y**2/3 + 68*y/3 - 23.
(y - 1)*(y + 69)/3
Factor 4*a**4 + 1876*a**3 + 215172*a**2 - 1134756*a - 1348056.
4*(a - 6)*(a + 1)*(a + 237)**2
Determine d, given that -4*d**3 - 92*d**2 - 444*d - 612 = 0.
-17, -3
Factor -3*c**3/8 - 45*c**2/8 - 39*c/4.
-3*c*(c + 2)*(c + 13)/8
Factor 4*q**3 + 20*q**2 + 32*q + 16.
4*(q + 1)*(q + 2)**2
Determine o so that 2*o**3/3 - 10*o**2/3 - 2*o/3 + 10/3 = 0.
-1, 1, 5
Suppose 45*b**2 + 55*b + 10 = 0. Calculate b.
-1, -2/9
Factor -4*d**2 + 196*d + 200.
-4*(d - 50)*(d + 1)
Factor q**4/9 + 88*q**3/9 - 44*q**2 - 2608*q/9 - 2944/9.
(q - 8)*(q + 2)**2*(q + 92)/9
Factor 2*z**3 + 4*z**2 - 62*z + 56.
2*(z - 4)*(z - 1)*(z + 7)
Factor -52*d**3 + 2725*d**2 - 1094*d + 104.
-(d - 52)*(4*d - 1)*(13*d - 2)
Find m such that 2*m**3 + 4*m**2 - 10*m - 12 = 0.
-3, -1, 2
Factor -i**2/3 - 4*i/3.
-i*(i + 4)/3
Factor 2*t**2/13 - 98*t/13 + 96/13.
2*(t - 48)*(t - 1)/13
Suppose 2*q**3/13 - 22*q**2/13 + 4*q - 32/13 = 0. What is q?
1, 2, 8
Factor j**5/3 - 8*j**4/3 + 25*j**3/3 - 38*j**2/3 + 28*j/3 - 8/3.
(j - 2)**3*(j - 1)**2/3
Factor -4*r**5 - 412*r**4 - 13860*r**3 - 142100*r**2 + 343000*r.
-4*r*(r - 2)*(r + 35)**3
Suppose -3*s**3/4 - 57*s**2/4 - 105*s/4 - 51/4 = 0. What is s?
-17, -1
What is m in 6*m**4/5 - 8*m**3/5 - 34*m**2/5 + 12*m/5 = 0?
-2, 0, 1/3, 3
Determine p so that p**2 + 92*p - 588 = 0.
-98, 6
What is m in 2*m**2 + 38*m + 36 = 0?
-18, -1
Factor -5*p**2/3 + 500*p/3 - 12500/3.
-5*(p - 50)**2/3
Find l, given that 4*l**2 + 116*l - 680 = 0.
-34, 5
Determine m so that -192*m**5 - 1280*m**4 - 2208*m**3 - 1632*m**2 - 556*m - 72 = 0.
-9/2, -2/3, -1/2
Find i such that -3*i**3 + 30*i**2 = 0.
0, 10
Factor -2*i**3/13 - 118*i**2/13 + 120*i/13.
-2*i*(i - 1)*(i + 60)/13
Suppose -5*o**3 + 75*o**2 + 665*o - 735 = 0. Calculate o.
-7, 1, 21
Factor -56*h**2 + 1118*h + 40.
-2*(h - 20)*(28*h + 1)
Find v such that -3*v**4 - 192*v**3 - 1197*v**2 = 0.
-57, -7, 0
Solve -z**4/8 - z**3/4 + z/4 + 1/8 = 0.
-1, 1
Factor 928*y**2 - 4*y.
4*y*(232*y - 1)
Solve 2*h**4/15 - 8*h**3/15 - 4*h**2/15 + 8*h/5 + 6/5 = 0 for h.
-1, 3
Factor -b**3 + 79*b**2 - 1520*b - 1600.
-(b - 40)**2*(b + 1)
Factor -5*r**2/4 + 70*r - 980.
-5*(r - 28)**2/4
Factor y**3/3 + 2033*y**2 + 4133089*y + 8402569937/3.
(y + 2033)**3/3
Factor -5*d**4 - 415*d**3 + 430*d**2 + 840*d.
-5*d*(d - 2)*(d + 1)*(d + 84)
Factor 5*a**3 - 80*a**2 + 240*a.
5*a*(a - 12)*(a - 4)
Solve -4*v**4 + 16*v**3 = 0.
0, 4
Factor -2*b**3/7 + 12*b**2/7 - 10*b/7.
-2*b*(b - 5)*(b - 1)/7
Find t such that -2*t**5/11 + 2202*t**4/11 - 609396*t**3/11 + 1814996*t**2/11 - 1810602*t/11 + 602802/11 = 0.
1, 549
Factor 2*u**3/5 + 998*u**2/5 - 1004*u/5 - 400.
2*(u - 2)*(u + 1)*(u + 500)/5
Determine n, given that -2*n**5/7 - 50*n**4/7 - 380*n**3/7 - 860*n**2/7 - 110*n - 242/7 = 0.
-11, -1
Determine n, given that -4*n**5 + 56*n**4 - 96*n**3 = 0.
0, 2, 12
Factor 9*j**3/8 + 975*j**2/4 - 651*j/8.
3*j*(j + 217)*(3*j - 1)/8
Determine h, given that h**4/4 - 2*h**3 + 7*h**2/4 + 9*h - 9 = 0.
-2, 1, 3, 6
Factor -f**4 + 14*f**3 + 68*f**2 + 72*f.
-f*(f - 18)*(f + 2)**2
Suppose 6*k**4/7 - 184*k**3/7 + 268*k**2/7 + 632*k/7 + 174/7 = 0. What is k?
-1, -1/3, 3, 29
Factor -c**2/5 + 6*c/5 - 1.
-(c - 5)*(c - 1)/5
Determine u so that -5*u**2 + 43810*u - 95965805 = 0.
4381
Factor -5*u**3/2 + 66*u**2 - 577*u/2 + 105.
-(u - 21)*(u - 5)*(5*u - 2)/2
Let s**3/12 + 199*s**2/6 + 39601*s/12 = 0. What is s?
-199, 0
Factor 35*q**2 + 15*q.
5*q*(7*q + 3)
Find v such that -16*v**3/3 + 2*v**2/3 + 16*v/3 - 2/3 = 0.
-1, 1/8, 1
Factor 5*t**2 + 30*t - 35.
5*(t - 1)*(t + 7)
Factor t**3/2 + 9*t**2 + 17*t/2.
t*(t + 1)*(t + 17)/2
Factor 2*d**2 - 200*d + 392.
2*(d - 98)*(d - 2)
Factor -2*o**3/13 + 266*o**2/13 - 60*o.
-2*o*(o - 130)*(o - 3)/13
Factor -2*k**4 + 24*k**3 - 96*k**2 + 128*k.
-2*k*(k - 4)**3
What is j in 3*j**3/4 - 147*j**2/4 + 468*j - 432 = 0?
1, 24
What is s in 415*s**3 - 4165*s**2 + 10525*s - 375 = 0?
3/83, 5
Solve r**3/2 + 24*r**2 - 555*r/2 + 725 = 0 for r.
-58, 5
Determine i so that -3*i**2/7 - 30*i/7 + 33/7 = 0.
-11, 1
Find n such that -n**2/5 + 18*n/5 - 32/5 = 0.
2, 16
Factor -o**3/4 - 7*o**2/4 - 7*o/2 - 2.
-(o + 1