4*x - 4840.
(x - 10)*(x + 22)**2
Determine q, given that -5*q**4 - 33*q**3 - 56*q**2 - 12*q + 16 = 0.
-4, -2, -1, 2/5
Suppose -3*x**2 + 24*x + 384 = 0. Calculate x.
-8, 16
Let -2*f**4 + 28*f**3 + 2*f**2 - 28*f = 0. Calculate f.
-1, 0, 1, 14
Factor -374544*s**3 - 1495728*s**2 + 9788*s - 16.
-4*(s + 4)*(306*s - 1)**2
Factor -2*f**5/5 - 134*f**4/5 - 516*f**3/5 - 764*f**2/5 - 506*f/5 - 126/5.
-2*(f + 1)**4*(f + 63)/5
Factor 2*t**4 - 74*t**3 + 210*t**2 - 206*t + 68.
2*(t - 34)*(t - 1)**3
Suppose -2*a**5 + 42*a**4 - 178*a**3 + 302*a**2 - 228*a + 64 = 0. What is a?
1, 2, 16
Find q, given that 5*q**4 - 375*q**2 + 350*q + 720 = 0.
-9, -1, 2, 8
Suppose 2*c**3/15 - 54*c**2/5 + 290*c - 38686/15 = 0. What is c?
23, 29
Find i, given that i**5/3 + 49*i**4 + 5758*i**3/3 + 8734*i**2 + 35713*i/3 + 5041 = 0.
-71, -3, -1
Determine v so that 5*v**3/6 - 625*v**2/3 + 1235*v/6 + 415 = 0.
-1, 2, 249
Determine t, given that 4*t**3 - 4*t**2 - 8*t = 0.
-1, 0, 2
Factor c**4/2 + 11*c**3/4 + 13*c**2/4 + c.
c*(c + 1)*(c + 4)*(2*c + 1)/4
Suppose 3*x**2 + 2121*x - 2124 = 0. What is x?
-708, 1
Find q, given that 4*q**5 - 232*q**4 + 200*q**3 + 1600*q**2 - 204*q - 1368 = 0.
-2, -1, 1, 3, 57
Factor 2*k**2 + 40*k - 42.
2*(k - 1)*(k + 21)
Suppose 2*v**2/3 - 15*v/4 - 3/2 = 0. What is v?
-3/8, 6
Find b, given that 2*b**2/5 - 1664*b/5 + 1662/5 = 0.
1, 831
Factor -20*b**3 + 92*b**2 + 40*b.
-4*b*(b - 5)*(5*b + 2)
Suppose 158*f**3 + 324*f**2 + 174*f + 8 = 0. What is f?
-1, -4/79
Suppose -2*a**2/5 - 8*a/5 - 8/5 = 0. What is a?
-2
Factor n**3/5 - 14*n**2 + 137*n/5 - 68/5.
(n - 68)*(n - 1)**2/5
Let 5*n**4 - 30*n**3 + 60*n**2 - 40*n = 0. What is n?
0, 2
Let 3*h**4 + 48*h**3 + 123*h**2 + 78*h = 0. What is h?
-13, -2, -1, 0
What is b in -11*b**3 + 97*b**2 - 202*b - 40 = 0?
-2/11, 4, 5
Find z, given that z**5/3 + 865*z**4/3 - 3472*z**3/3 + 3476*z**2/3 = 0.
-869, 0, 2
Find b such that 3*b**2/4 + 237*b/4 - 60 = 0.
-80, 1
Factor -r**4/3 - 131*r**3/3 - 1316*r**2 + 22576*r/3 - 18496/3.
-(r - 4)*(r - 1)*(r + 68)**2/3
Find u such that u**5/2 + u**4 - 42*u**3 - 164*u**2 - 160*u = 0.
-8, -2, 0, 10
Factor 4*u**2/7 - 754*u/7 + 376/7.
2*(u - 188)*(2*u - 1)/7
Factor -s**3/5 - 2*s**2 - 21*s/5.
-s*(s + 3)*(s + 7)/5
Find u such that 2*u**2/7 + 16*u + 110/7 = 0.
-55, -1
Determine j so that -j**3/6 + 989*j**2/6 - 122512*j/3 + 122018/3 = 0.
1, 494
Factor -3*z**5 - 6*z**4 + 72*z**3 - 48*z**2 - 240*z + 288.
-3*(z - 2)**3*(z + 2)*(z + 6)
What is u in -u**2 - 24*u - 63 = 0?
-21, -3
Find y such that 4*y**4 - 668*y**3 + 28220*y**2 - 27556*y = 0.
0, 1, 83
Factor -i**4 + 38*i**3 - 32*i**2 - 182*i - 111.
-(i - 37)*(i - 3)*(i + 1)**2
Determine z so that z**4/5 + 27*z**3/5 - z**2/5 - 27*z/5 = 0.
-27, -1, 0, 1
Factor -9*c**3/2 - 461*c**2/2 - 492*c - 98.
-(c + 2)*(c + 49)*(9*c + 2)/2
Factor -t**2/2 + 15*t/2 + 8.
-(t - 16)*(t + 1)/2
Determine t, given that 2*t**4/3 - 12*t**3 + 14*t**2 + 664*t/3 + 280 = 0.
-2, 7, 15
Factor -3*i**3/4 - 27*i**2 + 765*i - 4200.
-3*(i - 10)**2*(i + 56)/4
Factor k**2/5 - 16*k + 1024/5.
(k - 64)*(k - 16)/5
Factor -4*r**4 - 36*r**3 - 44*r**2 + 84*r.
-4*r*(r - 1)*(r + 3)*(r + 7)
Suppose 3*t**4 - 30*t**3 + 75*t**2 - 108 = 0. What is t?
-1, 2, 3, 6
Find j such that 21*j**2 + 6*j = 0.
-2/7, 0
Determine r, given that 2*r**2/5 + 12*r/5 + 16/5 = 0.
-4, -2
Factor -2*n**2/3 + 23*n/3 - 11/3.
-(n - 11)*(2*n - 1)/3
Solve 25*o**3 + 210*o**2 - 420*o - 200 = 0.
-10, -2/5, 2
Factor v**3/10 - 32*v**2 + 2560*v.
v*(v - 160)**2/10
Let -k**2/9 - 632*k - 898704 = 0. What is k?
-2844
Factor 2*x**4/9 + 1154*x**3/9 - 1160*x**2/3.
2*x**2*(x - 3)*(x + 580)/9
Let -3*a**2 - 33*a + 36 = 0. What is a?
-12, 1
Factor 2*x**2/5 + 52*x/5 + 10.
2*(x + 1)*(x + 25)/5
Factor 5*b**2 - 1195*b + 16800.
5*(b - 224)*(b - 15)
Factor -l**2/4 - 25*l/2 + 116.
-(l - 8)*(l + 58)/4
Factor 4*m**2 - 4*m - 24.
4*(m - 3)*(m + 2)
What is w in -2*w**5/15 + 8*w**4/5 - 34*w**3/5 + 184*w**2/15 - 8*w = 0?
0, 2, 3, 5
Find s, given that 3*s**4/8 - 489*s**3 + 1953*s**2/2 = 0.
0, 2, 1302
Solve j**5 - 9*j**4 + 23*j**3 - 7*j**2 - 24*j + 16 = 0 for j.
-1, 1, 4
Solve -25*c**3/3 - 230*c**2 + 93*c - 28/3 = 0 for c.
-28, 1/5
Determine f so that -f**5 - 8*f**4 + 19*f**3 - 10*f**2 = 0.
-10, 0, 1
Factor -3*a**2 - 12*a - 9.
-3*(a + 1)*(a + 3)
Suppose -36*l**2/5 - 456*l/5 + 64 = 0. Calculate l.
-40/3, 2/3
Solve -2*r**3/9 + 56*r**2/3 + 118*r + 180 = 0 for r.
-3, 90
Factor -2*o**3/3 + 492*o**2 - 91264*o + 541696/3.
-2*(o - 368)**2*(o - 2)/3
What is c in -2*c**3 + 250*c**2 - 736*c + 488 = 0?
1, 2, 122
Factor 4*b**3 - 20*b**2 - 52*b - 28.
4*(b - 7)*(b + 1)**2
Determine k, given that 3*k**4 + 20*k**3 - 22*k**2 - 220*k + 75 = 0.
-5, 1/3, 3
Factor d**3/6 + 91*d**2/6 - 185*d/6 + 31/2.
(d - 1)**2*(d + 93)/6
Factor b**5 + 4*b**4 - 3*b**3 - 10*b**2 + 8*b.
b*(b - 1)**2*(b + 2)*(b + 4)
Solve y**5 - 4*y**4 - 6*y**3 + 36*y**2 - 27*y = 0 for y.
-3, 0, 1, 3
Factor -2*j**2/13 + 36*j/13 - 64/13.
-2*(j - 16)*(j - 2)/13
Suppose -5*o**4/3 + 353*o**3/3 - 6335*o**2/3 + 1225*o = 0. What is o?
0, 3/5, 35
Factor -3*o**2 - 219*o.
-3*o*(o + 73)
Factor -3*a**5/5 + 36*a**4/5 - 63*a**3/5 - 294*a**2/5.
-3*a**2*(a - 7)**2*(a + 2)/5
Find p, given that -4*p**2/5 - 3722*p/5 - 372 = 0.
-930, -1/2
Factor -5*k**3 - 625*k**2 + 630*k.
-5*k*(k - 1)*(k + 126)
Determine j, given that 2*j**4/21 + 18*j**3/7 + 160*j**2/7 + 1408*j/21 = 0.
-11, -8, 0
Solve 4*d**3/7 + 4*d**2/7 - 160*d - 7600/7 = 0 for d.
-10, 19
Factor -4*l**5 - 24*l**4 - 32*l**3 + 8*l**2 + 36*l + 16.
-4*(l - 1)*(l + 1)**3*(l + 4)
Find t, given that t**4/3 + 56*t**3/3 + 54*t**2 + 160*t/3 + 53/3 = 0.
-53, -1
Factor 2*o**4 - 268*o**3 + 1560*o**2 - 3088*o + 2048.
2*(o - 128)*(o - 2)**3
Factor -2*k**2/11 - 2308*k/11 - 665858/11.
-2*(k + 577)**2/11
Find s such that -3*s**4 - 7866*s**3 - 5164023*s**2 - 10304460*s - 5148300 = 0.
-1310, -1
Solve -2187*x**4/4 - 31347*x**3/8 - 19845*x**2/2 - 10050*x - 3000 = 0.
-20/9, -1/2
Factor -v**2 - 824*v + 825.
-(v - 1)*(v + 825)
Find r such that -45*r**4 + 1080*r**3 + 1190*r**2 - 1600*r - 625 = 0.
-5/3, -1/3, 1, 25
Factor -66*z**3 - 4*z**2 + 264*z + 16.
-2*(z - 2)*(z + 2)*(33*z + 2)
Solve 2*d**2/7 - 4*d/7 - 6/7 = 0 for d.
-1, 3
Factor b**4/2 + 22*b**3 + 219*b**2 - 506*b + 529/2.
(b - 1)**2*(b + 23)**2/2
Determine c so that -2*c**3/7 + 4*c**2/7 + 8*c/7 - 16/7 = 0.
-2, 2
Factor -b**5/5 + 177*b**4 - 38895*b**3 - 117749*b**2 - 118104*b - 197136/5.
-(b - 444)**2*(b + 1)**3/5
Factor -2*n**5/5 + 66*n**4/5 + 68*n**3/5.
-2*n**3*(n - 34)*(n + 1)/5
Suppose 3*x**2 - 81*x - 594 = 0. What is x?
-6, 33
Factor -125*q**4 + 725*q**3 + 1005*q**2 + 315*q.
-5*q*(q - 7)*(5*q + 3)**2
Solve -10*h**5/3 + 275*h**4/6 + 15*h**3 - 275*h**2/6 - 35*h/3 = 0.
-1, -1/4, 0, 1, 14
Let -2*z**4/11 - 34*z**3/11 - 24*z**2/11 + 136*z/11 + 128/11 = 0. Calculate z.
-16, -2, -1, 2
Determine w so that -3*w**5 + 24*w**4 - 12*w**3 - 66*w**2 + 15*w + 42 = 0.
-1, 1, 2, 7
Factor d**2 - 31*d + 30.
(d - 30)*(d - 1)
Determine d so that -d**4/9 - 2*d**3/9 + 2*d/9 + 1/9 = 0.
-1, 1
Find k, given that 140*k**4 - 275*k**3 - 1140*k**2 - 20*k + 80 = 0.
-2, -2/7, 1/4, 4
Factor 19*f**3/3 - 17*f**2/3 - 40*f/3 - 4/3.
(f - 2)*(f + 1)*(19*f + 2)/3
What is k in 4*k**5 + 48*k**4 + 16*k**3 - 312*k**2 - 20*k + 264 = 0?
-11, -3, -1, 1, 2
Solve -z**2/4 - 7*z/4 + 9/2 = 0 for z.
-9, 2
Find y, given that -y**4/8 + 9*y**3/8 - 15*y**2/8 - 25*y/8 = 0.
-1, 0, 5
Solve j**3 - 8*j**2 + 17*j - 10 = 0 for j.
1, 2, 5
Let -4*p**2 + 1062*p/19 + 28/19 = 0. What is p?
-1/38, 14
Suppose -2*f**5 + 6*f**3 + 4*f**2 = 0. What is f?
-1, 0, 2
Solve 2*k**2/5 - 1144*k/5 + 3414/5 = 0.
3, 569
Suppose d**3 - 6*d**2 - d + 6 = 0. What is d?
-1, 1, 6
What is c in 177*c**2 + 1056*c - 36 = 0?
-6, 2/59
Let i**3/6 + 58*i**2/3 + 229*i/6 + 19 = 0. What is i?
-114, -1
Solve -22*i**3 + 520*i**2/3 - 3454*i/9 + 484/3 = 0 for i.
6/11, 11/3
Factor 2*p**3/19 + 8*p**2/19 + 6*p/19.
2*p*(p + 1)*(p + 3)/19
Suppose -2*f**5 + 4*f**4 + 20*f**3 - 40*f**2 - 18*f + 36 = 0. Calculate f.
-3, -1, 1, 2, 3
Factor -d**3/5 + 241*d**2/5 - 2928*d + 2880.
-(d - 120)**2*(d - 1)/5
Determine f so that -2*f**4/3 - 5*f**3 - 2*f**2 + 7*f/3 = 0.
-7, -1, 0, 1/2
Determine l, given that -12*l**4 + 28*l**3 - 28*l**2/3 - 20*l/3 = 0.
-1/3, 0, 1, 5/3
Factor 3*i**4 + 162*i**3 - 333*i**2 + 168*i.
3*i*(i - 1)**2*(i + 56)
Factor -3*o**4 + 90*o**3 - 444*o**2 - 3978*o + 4335.
-3*(