*(7*f - 2)/5
Determine d, given that 6*d**5 - 100*d**4 + 152*d**3 - 28*d**2 - 30*d = 0.
-1/3, 0, 1, 15
Find m, given that m**4 - 37*m**3 + 360*m**2 - 324*m = 0.
0, 1, 18
What is w in w**3 - 8*w**2 - 229*w - 220 = 0?
-11, -1, 20
Find z such that -10*z**3/11 - 574*z**2/11 - 1328*z/11 - 40 = 0.
-55, -2, -2/5
Let 4*c**4 + 16*c**3 + 21*c**2 + 9*c = 0. What is c?
-3/2, -1, 0
Determine w, given that 686*w**3/5 - 1176*w**2 + 3360*w - 3200 = 0.
20/7
Factor 6*l**3 - 28*l**2 + 34*l - 12.
2*(l - 3)*(l - 1)*(3*l - 2)
Determine j, given that -2*j**2/11 + 6196*j/11 + 6198/11 = 0.
-1, 3099
Suppose 2*x**4/11 + 16*x**3/11 - 20*x**2/11 - 16*x/11 + 18/11 = 0. Calculate x.
-9, -1, 1
Factor 4*z**2 - 92*z - 992.
4*(z - 31)*(z + 8)
Let 14*h**5 - 288*h**4 + 6322*h**3/7 - 6460*h**2/7 + 2328*h/7 - 272/7 = 0. What is h?
2/7, 1, 2, 17
Factor -2*z**2/7 + 300*z/7.
-2*z*(z - 150)/7
Factor -5*v**2/2 + 230*v - 5290.
-5*(v - 46)**2/2
Suppose -4*d**4 - 20*d**3 + 100*d**2 + 500*d = 0. What is d?
-5, 0, 5
Factor -2*q**3/17 + 14*q**2/17 - 32*q/17 + 24/17.
-2*(q - 3)*(q - 2)**2/17
Determine a so that a**5/4 - 11*a**4/4 - 3*a**3/2 + 37*a**2/2 - 91*a/4 + 33/4 = 0.
-3, 1, 11
Determine f so that -4*f**5 + 52*f**4 - 128*f**3 + 80*f**2 = 0.
0, 1, 2, 10
Factor 5*i**3 + 290*i**2 + 1100*i + 1080.
5*(i + 2)**2*(i + 54)
Factor -k**3/3 + 4*k**2 + 28*k/3.
-k*(k - 14)*(k + 2)/3
Let 2*t**4 + 6*t**3 - 2*t**2 - 6*t = 0. Calculate t.
-3, -1, 0, 1
What is q in -5*q**3 + 635*q**2 + 6080*q + 5440 = 0?
-8, -1, 136
Factor q**2 + 45*q - 46.
(q - 1)*(q + 46)
Factor -2*p**2 + 14*p - 12.
-2*(p - 6)*(p - 1)
Factor 3*z**4 + 108*z**3 + 627*z**2 + 522*z.
3*z*(z + 1)*(z + 6)*(z + 29)
Determine l so that -2*l**4 + 6*l**2 + 4*l = 0.
-1, 0, 2
Solve 10*n**5/7 - 6*n**4/7 - 20*n**3/7 + 12*n**2/7 + 10*n/7 - 6/7 = 0.
-1, 3/5, 1
Solve 6*q**3/13 - 8*q**2/13 - 10*q/13 + 4/13 = 0.
-1, 1/3, 2
Suppose 3*s**4/2 + 1953*s**3/2 - 1971*s**2/2 - 9789*s/2 - 2934 = 0. What is s?
-652, -1, 3
Solve -2*m**5/23 - 16*m**4/23 - 48*m**3/23 - 68*m**2/23 - 2*m - 12/23 = 0 for m.
-3, -2, -1
Factor 1250*g**3/3 + 1150*g**2/3 - 98*g/3 + 2/3.
2*(g + 1)*(25*g - 1)**2/3
Let -11*s**3 + 13*s**2 + 130*s - 24 = 0. Calculate s.
-3, 2/11, 4
Let -5*w**2 + 11810*w - 6973805 = 0. Calculate w.
1181
Determine i so that -5*i**2 + 55*i - 140 = 0.
4, 7
Let -c**4/3 - 5*c**3 + c**2/3 + 5*c = 0. Calculate c.
-15, -1, 0, 1
Suppose 5*f**5 + 25*f**4 - 5*f**3 - 25*f**2 = 0. Calculate f.
-5, -1, 0, 1
Let -2*w**2 - 1968*w - 484128 = 0. What is w?
-492
Determine v so that -4*v**5/9 - 68*v**4/9 - 28*v**3 + 36*v**2 = 0.
-9, 0, 1
Factor t**3/2 - 3*t**2 - 267*t/2 - 130.
(t - 20)*(t + 1)*(t + 13)/2
Factor b**4/4 + 5*b**3/2 + 33*b**2/4 + 9*b.
b*(b + 3)**2*(b + 4)/4
Find k, given that 2*k**4 + 432*k**3 + 22448*k**2 - 95040*k + 96800 = 0.
-110, 2
Solve -3*z**3 - 69*z**2 - 129*z - 63 = 0 for z.
-21, -1
Factor 4*n**3/7 - 72*n**2/7 + 44*n/7 + 408/7.
4*(n - 17)*(n - 3)*(n + 2)/7
Factor 7*i**4/3 + 313*i**3/3 - 748*i**2/3 + 188*i/3.
i*(i - 2)*(i + 47)*(7*i - 2)/3
Let 2*k**4/11 - 240*k**3/11 + 7664*k**2/11 - 27840*k/11 + 26912/11 = 0. Calculate k.
2, 58
Determine j, given that j**4 + 52*j**3/3 - 31*j**2 + 38*j/3 = 0.
-19, 0, 2/3, 1
What is m in m**5/5 - 3*m**4/5 - 3*m**3/5 + 7*m**2/5 + 6*m/5 = 0?
-1, 0, 2, 3
Factor -4*j**2/5 + 228*j/5.
-4*j*(j - 57)/5
Factor -3*t**2/4 + 33*t/4.
-3*t*(t - 11)/4
Let -10*s**4/9 + 368*s**3/9 + 844*s**2/9 + 544*s/9 + 26/3 = 0. Calculate s.
-1, -1/5, 39
Factor 25*j**3 + 60*j**2 + 5*j - 30.
5*(j + 1)*(j + 2)*(5*j - 3)
Suppose 3*w**5/2 + 6*w**4 - 24*w**3 - 96*w**2 = 0. What is w?
-4, 0, 4
Determine x, given that 2*x**2/5 - 112*x/5 + 22 = 0.
1, 55
Factor 5*v**2/4 - 1449*v/2 - 290.
(v - 580)*(5*v + 2)/4
Factor r**3/2 + 97*r**2/2 + 367*r/2 - 465/2.
(r - 1)*(r + 5)*(r + 93)/2
Solve -g**2/6 - 58*g - 5046 = 0.
-174
Find z such that -81*z**5 - 1503*z**4 - 5476*z**3 - 4144*z**2 + 2720*z - 336 = 0.
-14, -3, -2, 2/9
Suppose -w**4/3 + 11*w**3/3 - 44*w**2/3 + 76*w/3 - 16 = 0. Calculate w.
2, 3, 4
Suppose -l**3 + 19*l**2/3 + 68*l/3 + 12 = 0. Calculate l.
-2, -2/3, 9
Factor -3*z**5 + 42*z**4 - 192*z**3 + 192*z**2 + 768*z - 1536.
-3*(z - 4)**4*(z + 2)
Suppose 2*z**5/5 - 4*z**4/5 - 2*z**3 + 4*z**2 + 8*z/5 - 16/5 = 0. Calculate z.
-2, -1, 1, 2
Factor 5*n**3/7 + n**2 - 4*n - 12/7.
(n - 2)*(n + 3)*(5*n + 2)/7
Find s, given that -2*s**2 + 8262*s = 0.
0, 4131
Factor 38*l**2 + 44*l + 6.
2*(l + 1)*(19*l + 3)
Factor u**4/2 + 13*u**3 - 110*u**2 + 179*u - 165/2.
(u - 5)*(u - 1)**2*(u + 33)/2
Find b such that 1130*b**3/3 + 524*b**2 + 146*b - 4/3 = 0.
-1, -2/5, 1/113
Determine u, given that -3*u**2 - 11136*u - 10334208 = 0.
-1856
Factor 5*b**4 - 40*b**3 - 5*b**2 + 40*b.
5*b*(b - 8)*(b - 1)*(b + 1)
Factor 4*k**3 - 436*k**2 + 860*k - 428.
4*(k - 107)*(k - 1)**2
Let -2*q**2 - 6256*q - 4892192 = 0. What is q?
-1564
Factor t**3/10 + 244*t**2/5 - 1471*t/10 + 491/5.
(t - 2)*(t - 1)*(t + 491)/10
Factor 5*u**3 + 50*u**2 + 45*u.
5*u*(u + 1)*(u + 9)
Factor -2*v**3 - 1276*v**2 + 2*v + 1276.
-2*(v - 1)*(v + 1)*(v + 638)
Let -2*r**3/5 + 8*r**2/5 + 14*r - 60 = 0. Calculate r.
-6, 5
Determine b so that b**2 + 684*b/7 - 28 = 0.
-98, 2/7
Solve -p**3/2 + 4*p**2 + 9*p/2 = 0 for p.
-1, 0, 9
Solve -4*m**3 + 76*m + 120 = 0 for m.
-3, -2, 5
Find u, given that 5*u**5 - 190*u**4 + 1790*u**3 + 560*u**2 - 5035*u - 3610 = 0.
-1, 2, 19
Solve -4*o**5/7 + 32*o**4/7 - 64*o**3/7 - 72*o**2/7 + 324*o/7 - 216/7 = 0 for o.
-2, 1, 3
Let -9*p**4/4 - 733*p**3/4 - 3861*p**2 - 5280*p - 1600 = 0. What is p?
-40, -1, -4/9
Suppose -12*x**5 + 76*x**4 + 168*x**3 - 64*x**2 = 0. What is x?
-2, 0, 1/3, 8
Let -c**2/4 - 101*c/4 - 99/2 = 0. Calculate c.
-99, -2
Suppose -2*b**3/9 + 74*b**2/9 - 68*b/3 = 0. What is b?
0, 3, 34
Suppose 4*u**5 - 16*u**4 + 40*u**2 - 4*u - 24 = 0. What is u?
-1, 1, 2, 3
Find n, given that 5*n**4/2 + 135*n**3/2 - 465*n**2 + 970*n - 660 = 0.
-33, 2
Factor 4*x**2 + 280*x + 4900.
4*(x + 35)**2
Suppose 2*m**3/3 + 860*m**2/3 - 866*m/3 - 1724/3 = 0. What is m?
-431, -1, 2
Determine x, given that 3*x**2 - 6954*x + 6951 = 0.
1, 2317
Factor 2*j**3/23 - 30*j**2/23 + 126*j/23 - 98/23.
2*(j - 7)**2*(j - 1)/23
Factor 4*i**5/3 - 132*i**4 + 392*i**3/3.
4*i**3*(i - 98)*(i - 1)/3
Factor 5*c**2 - 35*c + 50.
5*(c - 5)*(c - 2)
Suppose h**3/3 - h**2 - 10*h/3 = 0. What is h?
-2, 0, 5
Factor 16*i**3/3 + 124*i**2 + 148*i + 88/3.
4*(i + 1)*(i + 22)*(4*i + 1)/3
Let a**3/3 - 7*a**2/3 - 17*a/3 - 3 = 0. Calculate a.
-1, 9
Factor 3*i**2 - 360*i + 10800.
3*(i - 60)**2
Solve 4*h**4 + 20*h**3 - 60*h**2 - 20*h + 56 = 0.
-7, -1, 1, 2
Determine u, given that 5*u**4 - 230*u**3 + 1865*u**2 + 17940*u + 30420 = 0.
-3, 26
Let -2*x**2/9 + 2*x/3 + 8/9 = 0. Calculate x.
-1, 4
Solve -t**5/8 - 13*t**4/8 - 25*t**3/8 + 129*t**2/8 + 135*t/4 = 0.
-9, -5, -2, 0, 3
Determine u so that 7*u**4/4 - 9*u**3/2 + 3*u**2 + u/2 - 3/4 = 0.
-3/7, 1
Let -2*w**3/3 - 4*w**2/3 + 2*w = 0. What is w?
-3, 0, 1
Suppose -2*o**4 + 40*o**3 - 246*o**2 + 352*o + 640 = 0. Calculate o.
-1, 5, 8
Factor -2*s**2/7 + 114*s/7 - 100.
-2*(s - 50)*(s - 7)/7
Factor 34*s**2/9 - 118*s/9 - 152/9.
2*(s + 1)*(17*s - 76)/9
Let 26*s**3 - 134*s**2 + 20*s = 0. Calculate s.
0, 2/13, 5
What is y in -4*y**3 + 72*y**2 + 444*y + 368 = 0?
-4, -1, 23
Factor -121*t**5 - 748*t**4 - 1585*t**3 - 1238*t**2 - 188*t - 8.
-(t + 2)**3*(11*t + 1)**2
Factor -5*z**2 + 45.
-5*(z - 3)*(z + 3)
Factor -f**5/3 + 2099*f**4/3 - 366800*f**3 - 367500*f**2.
-f**2*(f - 1050)**2*(f + 1)/3
Find u, given that -2*u**5 + 4*u**4 + 20*u**3 - 16*u**2 - 66*u - 36 = 0.
-2, -1, 3
Suppose 3*o**5 - 3*o**4 - 21*o**3 + 3*o**2 + 18*o = 0. What is o?
-2, -1, 0, 1, 3
Factor -g**3/3 - 25*g**2 + 216*g - 1328/3.
-(g - 4)**2*(g + 83)/3
Solve -2*z**4/9 - 74*z**3/9 + 92*z**2/3 + 160*z = 0 for z.
-40, -3, 0, 6
Solve 3*j**4/5 - 132*j**3/5 + 51*j**2 - 126*j/5 = 0 for j.
0, 1, 42
Suppose -2*v**4/11 + 14*v**3/11 - 24*v**2/11 - 8*v/11 + 32/11 = 0. Calculate v.
-1, 2, 4
Factor 4*l**2/5 - 1544*l/5 + 148996/5.
4*(l - 193)**2/5
Factor -2*l**2/5 - 98*l/5 + 20.
-2*(l - 1)*(l + 50)/5
Factor 2*y**3/3 + 2*y**2/3 - 2*y/3 - 2/3.
2*(y - 1)*(y + 1)**2/3
Factor -2*r**3/9 + 40*r**2/3 + 122*r/9.
-2*r*(r - 61)*(r + 1)/9
What is d in 9*d**4 - 123*d**3 + 510*d**2 - 612*d + 216 = 0?
2/3, 1, 6
Determine k, given that -2*k**3/9 + 304*k**2/3 - 11552*k = 0.
0, 228
Factor -s**5/3 + 10*s**4 -