127*z - 16129/2.
-(z + 127)**2/2
Solve -9*o**3/2 - 226*o**2 - 50*o = 0.
-50, -2/9, 0
Solve -3*c**2 - 69*c + 150 = 0 for c.
-25, 2
Solve 5*o**3 + 5*o**2 - 100*o = 0 for o.
-5, 0, 4
Suppose 25*p**5/4 + 223*p**4/4 + 257*p**3/4 - 547*p**2/4 + 21*p/2 = 0. What is p?
-7, -3, 0, 2/25, 1
Factor -20*i**2 + 1308*i + 792.
-4*(i - 66)*(5*i + 3)
Determine k, given that -3*k**4 - 3*k**3 + 9*k**2 + 3*k - 6 = 0.
-2, -1, 1
Factor s**2/5 + 28*s/5.
s*(s + 28)/5
Factor -2*k**3/9 - 44*k**2/9 + 10*k/3 + 400.
-2*(k - 8)*(k + 15)**2/9
Factor -2*s**3 + 18*s**2 - 12*s - 32.
-2*(s - 8)*(s - 2)*(s + 1)
Factor -165*f**2 + 145*f + 20.
-5*(f - 1)*(33*f + 4)
Factor 9*w**3/4 + 12*w**2 - 39*w/4 - 9/2.
3*(w - 1)*(w + 6)*(3*w + 1)/4
Determine b, given that -2*b**4/19 - 24*b**3/19 - 2*b**2 + 24*b/19 + 40/19 = 0.
-10, -2, -1, 1
Find q such that q**2/3 - 6836*q/3 - 2279 = 0.
-1, 6837
Find p, given that 2*p**5 + 20*p**4/3 + 2*p**3 - 8*p**2 - 8*p/3 = 0.
-2, -1/3, 0, 1
Factor -p**2 - 33*p - 62.
-(p + 2)*(p + 31)
Find p, given that -p**5/2 - p**4/2 = 0.
-1, 0
Factor 4*f**4/3 - 28*f**3/3 - 4*f**2 + 220*f/3 + 200/3.
4*(f - 5)**2*(f + 1)*(f + 2)/3
Determine q so that -5*q**3/4 - 141*q**2/2 - 387*q/4 - 55/2 = 0.
-55, -1, -2/5
Find q, given that -3*q**4 + 267*q**3 - 258*q**2 - 528*q = 0.
-1, 0, 2, 88
Let -2*r**2/7 + 244*r - 52094 = 0. What is r?
427
What is n in 2*n**4/3 + 28*n**3/3 + 22*n**2 - 8*n/3 - 88/3 = 0?
-11, -2, 1
What is s in 50*s**4/7 + 510*s**3/7 - 2532*s**2/7 + 1768*s/7 - 48 = 0?
-14, 2/5, 3
Determine g so that 36*g**5 - 420*g**4 + 652*g**3 + 3236*g**2 + 2912*g + 784 = 0.
-1, -2/3, 7
Determine h so that 3*h**5 - 213*h**4/5 - 231*h**3/5 + 753*h**2/5 + 216*h/5 - 108 = 0.
-2, -1, 1, 6/5, 15
Suppose 4*q**3 + 16*q**2 + 16*q = 0. What is q?
-2, 0
Factor v**2 + 58*v - 1368.
(v - 18)*(v + 76)
Factor -2*j**2/11 - 52*j/11 + 310/11.
-2*(j - 5)*(j + 31)/11
Let -3*a**3/2 - 39*a**2/2 + 87*a/2 - 45/2 = 0. What is a?
-15, 1
Suppose h**2/5 - 794*h/5 + 157609/5 = 0. Calculate h.
397
Determine h, given that 3*h**3 + 795*h**2 = 0.
-265, 0
Factor -h**3 + 28*h**2 - 211*h + 408.
-(h - 17)*(h - 8)*(h - 3)
Find l, given that -l**4 + 416*l**3 - 43263*l**2 - 416*l + 43264 = 0.
-1, 1, 208
Suppose 2*g**5 - 30*g**4 + 164*g**3 - 408*g**2 + 464*g - 192 = 0. Calculate g.
1, 2, 4, 6
Factor -t**3 + 15*t**2 + t - 15.
-(t - 15)*(t - 1)*(t + 1)
Find q such that 5*q**3 + 20*q**2 - 75*q - 90 = 0.
-6, -1, 3
Determine s, given that 2*s**5/17 + 168*s**4/17 + 4860*s**3/17 + 52488*s**2/17 + 118098*s/17 = 0.
-27, -3, 0
Factor -i**2 + 1050*i - 275625.
-(i - 525)**2
Factor -2*j**4/9 + 16*j**3/9 - 4*j**2/3 - 80*j/9 - 50/9.
-2*(j - 5)**2*(j + 1)**2/9
Suppose 4*l**2 + 8296*l + 8292 = 0. What is l?
-2073, -1
Suppose 5*y**3/2 + 115*y**2 + 220*y = 0. What is y?
-44, -2, 0
Factor 6*k**3/13 - 10*k**2/13 + 4*k/13.
2*k*(k - 1)*(3*k - 2)/13
Factor 5*n**3 + 110*n**2 + 525*n.
5*n*(n + 7)*(n + 15)
Factor 5*w**4 - 270*w**3 - 275*w**2.
5*w**2*(w - 55)*(w + 1)
Suppose l**4/2 - 2*l**3 - 5*l**2/2 = 0. What is l?
-1, 0, 5
Factor -3*n**4/8 + 417*n**3/8.
-3*n**3*(n - 139)/8
Solve -15*y**5/2 + 51*y**4/2 - 9*y**3 = 0.
0, 2/5, 3
Factor j**4/3 + 16*j**3/3 - j**2 - 50*j/3 - 32/3.
(j - 2)*(j + 1)**2*(j + 16)/3
Suppose o**4 - 5*o**3 - 24*o**2 - 4*o + 32 = 0. What is o?
-2, 1, 8
Factor -2*c**3 - 22*c**2 + 152*c - 128.
-2*(c - 4)*(c - 1)*(c + 16)
Factor -4*d**2/7 - 132*d - 4520/7.
-4*(d + 5)*(d + 226)/7
Solve -4*s**3 - 72*s**2 + 76*s = 0 for s.
-19, 0, 1
Factor -2*i**2/5 + 6*i/5 + 56/5.
-2*(i - 7)*(i + 4)/5
What is l in 34*l**2 + 108*l + 74 = 0?
-37/17, -1
Solve -l**5/3 - 213*l**4 - 136736*l**3/3 - 9930080*l**2/3 - 9348352*l + 38112512/3 = 0.
-212, -4, 1
Factor 4*c**2 - 36*c - 88.
4*(c - 11)*(c + 2)
Factor 4*x**3 + 4*x**2 - 104*x + 96.
4*(x - 4)*(x - 1)*(x + 6)
Determine q so that 35*q**4 + 90*q**3 + 75*q**2 + 20*q = 0.
-1, -4/7, 0
Find b such that -3*b**4 - 36*b**3 + 93*b**2 + 126*b = 0.
-14, -1, 0, 3
Find i, given that i**3 - 716*i**2 + 129584*i - 506944 = 0.
4, 356
Suppose 2*x**2/3 - 26*x/3 - 676/3 = 0. Calculate x.
-13, 26
Find k such that -4*k**5 + 80*k**4 - 64*k**3 - 232*k**2 + 68*k + 152 = 0.
-1, 1, 2, 19
Factor 2*d**3/7 + 50*d**2/7 - 176*d/7 - 32.
2*(d - 4)*(d + 1)*(d + 28)/7
Factor g**5/2 - 15*g**4/2 + 37*g**3 - 82*g**2 + 84*g - 32.
(g - 8)*(g - 2)**3*(g - 1)/2
Determine f so that 4*f**3/9 + 820*f**2/9 + 1624*f/9 = 0.
-203, -2, 0
Factor 2*d**4/3 + 8*d**3 + 34*d**2 + 176*d/3 + 32.
2*(d + 1)*(d + 3)*(d + 4)**2/3
Solve -2*r**2/9 + 24*r - 648 = 0 for r.
54
Let -105*l**5 - 2095*l**4 - 3810*l**3 - 2180*l**2 - 360*l = 0. Calculate l.
-18, -1, -2/3, -2/7, 0
Solve -18*z**4 + 436*z**3 + 822*z**2 + 264*z - 104 = 0 for z.
-1, 2/9, 26
Factor 4*s**3 + 23170*s**2 + 33558848*s + 16773632.
2*(s + 2896)**2*(2*s + 1)
Factor n**3/7 + 181*n**2/7 + 8455*n/7 + 23763/7.
(n + 3)*(n + 89)**2/7
Factor -2*c**2/25 + 22*c/5.
-2*c*(c - 55)/25
What is a in -34*a**2 + 8*a/3 = 0?
0, 4/51
Suppose 3*q**3/8 + 3*q**2/8 - 3*q/4 = 0. Calculate q.
-2, 0, 1
Factor 4*p**4 + 1132*p**3/5 - 456*p**2/5.
4*p**2*(p + 57)*(5*p - 2)/5
Factor 5*x**2 - 350*x - 3120.
5*(x - 78)*(x + 8)
Determine l, given that 2*l**5 - 959*l**4 + 113756*l**3 + 288478*l**2 + 231842*l + 58081 = 0.
-1, -1/2, 241
Find v, given that -v**5/3 - 4*v**4 - 10*v**3/3 + 4*v**2 + 11*v/3 = 0.
-11, -1, 0, 1
Find j, given that -6*j**5 - 117*j**4 - 348*j**3 - 180*j**2 + 192*j = 0.
-16, -2, 0, 1/2
Factor 3*k**4 - 30*k**3 + 3*k**2 + 468*k - 864.
3*(k - 8)*(k - 3)**2*(k + 4)
Factor 4*h**2/3 - 266*h/3 + 44.
2*(h - 66)*(2*h - 1)/3
Factor -2*d**3/3 - 6*d**2 - 28*d/3.
-2*d*(d + 2)*(d + 7)/3
Factor -4*b**3/7 + 12*b/7 - 8/7.
-4*(b - 1)**2*(b + 2)/7
What is u in 25*u**4 + 20*u**3 - 221*u**2 - 180*u - 36 = 0?
-3, -2/5, 3
Find r, given that r**2/3 + 8996*r/3 + 20232004/3 = 0.
-4498
Find a such that -4*a**3 - 120*a**2 - 900*a = 0.
-15, 0
What is t in -18*t**4 - 204*t**3 - 338*t**2 + 1360*t - 800 = 0?
-20/3, 1
Solve -58*a**2 - 41*a/2 - 3/2 = 0.
-1/4, -3/29
Factor 15*s**2 - 260*s - 180.
5*(s - 18)*(3*s + 2)
Factor q**2 - 12*q + 36.
(q - 6)**2
Find j such that -4*j**3 + 92*j**2 + 944*j + 1488 = 0.
-6, -2, 31
Determine x so that x**2 + 33*x + 62 = 0.
-31, -2
Determine a, given that -4*a**5 + 248*a**4 + 260*a**3 - 504*a**2 = 0.
-2, 0, 1, 63
Factor -5*w**2/3 + 50*w/3 + 280/3.
-5*(w - 14)*(w + 4)/3
Solve -3*t**2 - 17550*t - 25666875 = 0 for t.
-2925
Solve -2*z**5 + 2*z**4 + 6*z**3 - 2*z**2 - 4*z = 0.
-1, 0, 1, 2
Factor f**3/4 + 41*f**2/2 + 161*f/4 + 20.
(f + 1)**2*(f + 80)/4
What is a in 6*a**3/7 + 232*a**2/7 + 1592*a/7 + 960/7 = 0?
-30, -8, -2/3
Factor 2*t**4/13 + 4*t**3/13 - 22*t**2/13 - 24*t/13.
2*t*(t - 3)*(t + 1)*(t + 4)/13
Factor h**4 + 2*h**3 - 19*h**2 - 68*h - 60.
(h - 5)*(h + 2)**2*(h + 3)
Factor 4*v**4 + 48*v**3 - 168*v**2 + 176*v - 60.
4*(v - 1)**3*(v + 15)
Factor -2*h**5/13 + 4*h**4/13 - 2*h**3/13.
-2*h**3*(h - 1)**2/13
Factor -55*b**2 - 780*b - 140.
-5*(b + 14)*(11*b + 2)
Factor -2*c**2/5 + 7596*c/5 - 7212402/5.
-2*(c - 1899)**2/5
Determine i, given that 2*i**4 - 11*i**3 + 16*i**2 - i - 6 = 0.
-1/2, 1, 2, 3
Determine d, given that d**2 + 1178*d + 346921 = 0.
-589
Factor 2*m**4/3 - 6*m**3 + 16*m**2 - 32*m/3.
2*m*(m - 4)**2*(m - 1)/3
Factor -2*q**4/3 + 14*q**3/3 + 8*q**2/3 - 56*q/3.
-2*q*(q - 7)*(q - 2)*(q + 2)/3
Factor 2*l**2/11 - 50*l/11 + 92/11.
2*(l - 23)*(l - 2)/11
Determine o, given that 20*o**3 - 632*o**2 - 916*o - 264 = 0.
-1, -2/5, 33
Let 12*g**2 + 460*g = 0. Calculate g.
-115/3, 0
Find c, given that -2*c**5/15 - 74*c**4/5 - 5818*c**3/15 + 6346*c**2/5 - 4332*c/5 = 0.
-57, 0, 1, 2
Find n such that 75*n**4/4 + 81*n**3/4 - 69*n**2/4 - 81*n/4 - 3/2 = 0.
-1, -2/25, 1
Factor 2*u**3/3 - 28*u**2/3 - 10*u.
2*u*(u - 15)*(u + 1)/3
Factor l**3/5 - 243*l**2/5 - 489*l/5 - 49.
(l - 245)*(l + 1)**2/5
Solve 2*o**4/11 - 166*o**3/11 + 162*o**2/11 + 166*o/11 - 164/11 = 0.
-1, 1, 82
Solve 20*v**3/7 + 8*v**2 - 4*v - 48/7 = 0 for v.
-3, -4/5, 1
Factor -2*o**2 + 110*o + 228.
-2*(o - 57)*(o + 2)
Let -5*a**4 + 115*a**3 - 330*a**2 - 2860*a - 3400 = 0. Calculate a.
-2, 10, 17
Determine f, given that -2*f**5/7 - 16*f**4/7 - 34*f**3/7 + 4*f**2 + 24*f + 144/7 = 0.
-3, -2, 2
Factor -2*x**3/7 - 74*x**2/7 - 600*x/7.
-2*x*(x + 12)*(x + 25)/7
Factor -28*u**2 - 3088*u - 880.
-4*(u + 110)*(7*u + 2)
Solve 75*t**5 - 35*t**4 - 535*t**3 - 205*t**2 + 280*t + 60 = 0.
-2, 