
Find s, given that -2*s**5 - 65*s**4 + 571*s**3 - 1139*s**2 + 835*s - 200 = 0.
-40, 1/2, 1, 5
Find i, given that -2*i**3/3 + 32*i**2/3 - 10*i = 0.
0, 1, 15
Suppose -k**2/2 + 16*k + 185/2 = 0. What is k?
-5, 37
Determine i, given that i**3/6 - 52*i**2/3 + 305*i/6 - 101/3 = 0.
1, 2, 101
Suppose 3*q**2 - 2361*q + 7056 = 0. Calculate q.
3, 784
Factor -3*t**2 + 108*t - 105.
-3*(t - 35)*(t - 1)
Solve -t**2/7 + 206*t/7 - 10609/7 = 0 for t.
103
Factor 9*m**5 - 15*m**4 - 6*m**3.
3*m**3*(m - 2)*(3*m + 1)
Find u such that 2*u**3 - 28*u**2 + 66*u = 0.
0, 3, 11
Determine n, given that -n**5 - 6*n**4 - 14*n**3 - 16*n**2 - 9*n - 2 = 0.
-2, -1
Solve 2*b**2 + 352*b - 1440 = 0.
-180, 4
Suppose 3*c**3/2 - 135*c**2 - 849*c/2 + 558 = 0. What is c?
-4, 1, 93
Factor 4*t**3 + 96*t**2 + 756*t + 1944.
4*(t + 6)*(t + 9)**2
Let -k**4/11 + 5*k**3/11 + k**2/11 - 17*k/11 - 12/11 = 0. What is k?
-1, 3, 4
Factor -2*o**2/7 - 4372*o/7 - 2389298/7.
-2*(o + 1093)**2/7
Let 4*p**5 + 20*p**4 + 28*p**3 + 12*p**2 = 0. What is p?
-3, -1, 0
Factor -3*h**4/2 + 111*h**3 - 4323*h**2/2 + 3996*h - 1944.
-3*(h - 36)**2*(h - 1)**2/2
Let -b**3/6 - 2*b**2 - 6*b - 16/3 = 0. What is b?
-8, -2
Determine f so that -2*f**5 + 20*f**4 - 54*f**3 + 28*f**2 + 56*f - 48 = 0.
-1, 1, 2, 6
Factor x**2/3 - 12*x + 33.
(x - 33)*(x - 3)/3
Factor -5*t**2 - 7060*t - 2492180.
-5*(t + 706)**2
Factor 2*r**4 - 14*r**3 + 36*r**2 - 40*r + 16.
2*(r - 2)**3*(r - 1)
Factor 4*w**3 - 184*w**2 + 2176*w - 7680.
4*(w - 30)*(w - 8)**2
Factor 4*y**3/7 + 4*y**2 - 160*y/7 + 176/7.
4*(y - 2)**2*(y + 11)/7
Factor -5*r**2 + 5140*r - 1320980.
-5*(r - 514)**2
Determine l so that -3*l**2/4 - 19311*l/2 - 124304907/4 = 0.
-6437
Suppose 2*j**3/9 + 104*j**2/3 + 1352*j = 0. Calculate j.
-78, 0
Suppose 16*d**5 + 68*d**4 + 96*d**3 + 52*d**2 + 8*d = 0. Calculate d.
-2, -1, -1/4, 0
Factor -q**5 - 59*q**4 - 276*q**3 - 320*q**2 + 224*q + 432.
-(q - 1)*(q + 2)**3*(q + 54)
Factor p**2/4 - 17*p/2 - 195/4.
(p - 39)*(p + 5)/4
Solve 2*r**2 + 22*r = 0 for r.
-11, 0
Find r such that 2*r**3/7 + 108*r**2/7 + 310*r/7 + 204/7 = 0.
-51, -2, -1
Suppose 2*n**3/3 - 10*n**2/3 - 946*n/3 - 2178 = 0. Calculate n.
-11, 27
Solve -q**3/3 - 329*q**2/3 - 26560*q/3 + 27556 = 0.
-166, 3
Factor 3*t**2 - 3090*t + 795675.
3*(t - 515)**2
Solve -l**5/3 - 11*l**4/3 - 7*l**3 + 31*l**2/3 + 50*l/3 - 16 = 0.
-8, -3, -2, 1
Solve 2*i**3 + 234*i**2 - 960*i + 968 = 0 for i.
-121, 2
Factor 4*n**2 + 260*n + 2200.
4*(n + 10)*(n + 55)
Let 35*x**3 - 325*x**2 - 2360*x + 700 = 0. What is x?
-5, 2/7, 14
Let l**5/9 + l**4/3 - 4*l**2/9 = 0. Calculate l.
-2, 0, 1
Suppose -3*f**2 + 3042*f - 771147 = 0. Calculate f.
507
Factor 5*i**4 + 125*i**3 + 630*i**2.
5*i**2*(i + 7)*(i + 18)
Find n such that -2*n**4/3 - 10*n**3/3 + 22*n**2 + 30*n - 144 = 0.
-8, -3, 3
Factor v**3/4 - 9*v**2/4 - 21*v/4 + 245/4.
(v - 7)**2*(v + 5)/4
Find a such that -a**3/4 - 13*a**2/4 + 17*a = 0.
-17, 0, 4
Determine f, given that -7*f**5/3 - 16*f**4/3 + 31*f**3/3 + 52*f**2/3 + 4*f = 0.
-3, -1, -2/7, 0, 2
Determine h, given that -h**3 - 1232*h**2 - 379456*h = 0.
-616, 0
Factor x**2/7 - 158*x/7 + 157/7.
(x - 157)*(x - 1)/7
Factor u**3/5 - 80*u**2 - 803*u/5 - 402/5.
(u - 402)*(u + 1)**2/5
Factor -c**2 - 157*c - 760.
-(c + 5)*(c + 152)
Suppose 2*p**5/7 + 6*p**4/7 - 2*p**3/7 - 2*p**2 + 8/7 = 0. Calculate p.
-2, -1, 1
Factor -5*d**4 + 5*d**3 + 20*d**2 - 20*d.
-5*d*(d - 2)*(d - 1)*(d + 2)
Factor 2*w**4/19 + 26*w**3/19 + 62*w**2/19 - 90*w/19.
2*w*(w - 1)*(w + 5)*(w + 9)/19
Factor -2*d**2/13 - 120*d/13 - 118/13.
-2*(d + 1)*(d + 59)/13
Factor v**3 + 6*v**2 - v - 6.
(v - 1)*(v + 1)*(v + 6)
Let 2*b**4/3 + 16*b**3 + 256*b**2/3 = 0. What is b?
-16, -8, 0
Factor 2*n**4 + 12*n**3 + 16*n**2.
2*n**2*(n + 2)*(n + 4)
Factor -2*c**2/9 + 106*c/9.
-2*c*(c - 53)/9
Factor 18*y**2 - 8*y + 8/9.
2*(9*y - 2)**2/9
Factor 2*u**3 + 212*u**2/13 + 448*u/13 + 64/13.
2*(u + 4)**2*(13*u + 2)/13
Find x, given that 4000*x**3 + 600*x**2 + 30*x + 1/2 = 0.
-1/20
Solve 2*r**4/9 - 32*r**3/3 + 106*r**2 + 2204*r/9 + 128 = 0.
-1, 18, 32
Factor -f**4/7 - f**3/7 + 40*f**2/7 + 16*f.
-f*(f - 7)*(f + 4)**2/7
Let -3*b**2/4 + 9*b - 27 = 0. Calculate b.
6
Find i such that i**2/2 - 27*i/2 - 29 = 0.
-2, 29
Find q such that 20*q**5 + 505*q**4 + 65*q**3 - 1475*q**2 + 635*q + 250 = 0.
-25, -2, -1/4, 1
Let -10*x**3 + 45*x**2 - 15*x - 20 = 0. What is x?
-1/2, 1, 4
Factor 12*c**2 + 10*c.
2*c*(6*c + 5)
Determine k, given that 27*k**5 - 150*k**4 + 32*k**3 = 0.
0, 2/9, 16/3
Find m, given that 1000*m**4 + 1484*m**3 - 1024*m**2 + 16*m = 0.
-2, 0, 2/125, 1/2
Suppose -10*c**2/7 - 6*c/7 = 0. Calculate c.
-3/5, 0
Factor 3*o**2/5 + 3*o - 18/5.
3*(o - 1)*(o + 6)/5
Factor 4*h**2 + 48*h + 44.
4*(h + 1)*(h + 11)
Factor -3*d**2/2 - 2931*d - 5859/2.
-3*(d + 1)*(d + 1953)/2
Factor -2*x**2/3 + 40*x - 232/3.
-2*(x - 58)*(x - 2)/3
Factor -5*i**4 + 35*i**3 - 55*i**2 + 25*i.
-5*i*(i - 5)*(i - 1)**2
Find a, given that -100*a**5 - 208*a**4 + 784*a**3 + 1864*a**2 + 1044*a + 72 = 0.
-3, -1, -2/25, 3
Suppose -x**3/2 - 213*x**2/2 - 15123*x/2 - 357911/2 = 0. What is x?
-71
Find r, given that -2*r**5/9 + 4*r**4/9 + 4*r**3/3 - 40*r**2/9 + 38*r/9 - 4/3 = 0.
-3, 1, 2
Determine b, given that -3*b**4 + 21*b**2 + 18*b = 0.
-2, -1, 0, 3
Suppose 25*z**4/3 - 113*z**3/3 + 140*z**2/3 - 4*z/3 - 16 = 0. Calculate z.
-12/25, 1, 2
Solve -2*q**5/11 - 4*q**4/11 - 2*q**3/11 = 0.
-1, 0
Factor f**4 - 78*f**3 + 228*f**2 - 226*f + 75.
(f - 75)*(f - 1)**3
Solve d**2 + 585*d = 0 for d.
-585, 0
What is i in 4*i**2 + 100*i = 0?
-25, 0
Factor -r**3/4 + 45*r**2/8 + 37*r/4 - 6.
-(r - 24)*(r + 2)*(2*r - 1)/8
Find a such that -2*a**2 + 268*a + 544 = 0.
-2, 136
Factor m**2/3 - 226*m/3 + 12769/3.
(m - 113)**2/3
Factor 3*d**2 - 4587*d + 4584.
3*(d - 1528)*(d - 1)
Factor 8*u**4/3 - 120094*u**3/3 + 200310120*u**2 - 334083893472*u - 83533493376.
2*(u - 5004)**3*(4*u + 1)/3
Factor -4*h**3 + 27*h**2 - 23*h.
-h*(h - 1)*(4*h - 23)
Solve -76*x**5 + 15220*x**4/7 + 38468*x**3/7 + 29644*x**2/7 + 7424*x/7 + 496/7 = 0.
-1, -2/7, -2/19, 31
Find w, given that -w**3/8 - 33*w**2/4 - 65*w/8 = 0.
-65, -1, 0
Determine t, given that 4*t**5 + 4*t**4 - 44*t**3 + 28*t**2 + 40*t - 32 = 0.
-4, -1, 1, 2
Factor -2*x**4/13 + 46*x**3/13 - 44*x**2/13.
-2*x**2*(x - 22)*(x - 1)/13
Determine l, given that -3*l**2 + 144*l + 624 = 0.
-4, 52
Suppose 5*g**5 - 730*g**4 = 0. What is g?
0, 146
Suppose -3*g**4 + 9*g**3 + 75*g**2 + 63*g = 0. What is g?
-3, -1, 0, 7
Suppose -a**3 + 47*a**2 + 545*a + 1425 = 0. What is a?
-5, 57
Factor k**4 - 28*k**3 - k**2 + 28*k.
k*(k - 28)*(k - 1)*(k + 1)
What is x in -20*x**3 + 108*x**2 - 192*x + 112 = 0?
7/5, 2
Let 15*q**4 + 85*q**3 - 145*q**2 - 25*q + 70 = 0. Calculate q.
-7, -2/3, 1
Find b such that -4*b**4 + 120*b**3 - 612*b**2 - 4624*b = 0.
-4, 0, 17
Suppose -c**3/7 + 148*c**2 - 38332*c = 0. What is c?
0, 518
Solve -2*s**4/7 - 70*s**3 - 974*s**2/7 - 486*s/7 = 0.
-243, -1, 0
Factor 3*b**5 + 12*b**4.
3*b**4*(b + 4)
Factor 3*f**4 + 3*f**3 - 192*f**2 - 192*f.
3*f*(f - 8)*(f + 1)*(f + 8)
Find l, given that 2*l**4/3 - 2*l**3 - 10*l**2/3 + 2*l + 8/3 = 0.
-1, 1, 4
Solve -m**4/5 + 133*m**3/5 + 269*m**2/5 + 27*m = 0.
-1, 0, 135
Suppose 3*t**4 - 42*t**3 - 561*t**2 - 1344*t - 828 = 0. What is t?
-6, -2, -1, 23
Determine b so that 4*b**2/3 + 284*b/3 + 280/3 = 0.
-70, -1
Factor -2*u**2/7 - 10*u/7 + 4.
-2*(u - 2)*(u + 7)/7
Factor t**3/4 + 150*t**2 + 30000*t + 2000000.
(t + 200)**3/4
Solve -3240*v**5/13 + 11358*v**4/13 - 11302*v**3/13 + 2742*v**2/13 + 798*v/13 - 196/13 = 0.
-1/4, 1/5, 7/9, 2
Solve 5*z**2 + 65*z - 150 = 0.
-15, 2
Find z, given that z**2/8 - 5*z - 22 = 0.
-4, 44
Find y, given that 5*y**4 + 1285*y**3/3 + 5770*y**2/3 + 8140*y/3 + 1080 = 0.
-81, -2, -2/3
Determine g so that -2*g**2/3 + 140*g + 422/3 = 0.
-1, 211
Factor -3*p**3/2 + 11*p**2 + 17*p/2 - 4.
-(p - 8)*(p + 1)*(3*p - 1)/2
Factor 2*b**2 - 110*b.
2*b*(b - 55)
Factor 4*c**2/3 - 340*c/3 + 112.
4*(c - 84)*(c - 1)/3
Factor 4*j**3/7 + 24*j**2/7 + 20*j/7 - 48/7.
4*(j - 1)*(j + 3)*(j + 4)/7
Find u, given that -3*u**5 + 6*u**4 + 24*u**3 + 6*u**2 - 21*u - 12 = 0.
-1, 1, 4
Factor -4*r**3/3 + 1496*r**2 - 559504*r + 209254496/3.
-4*(r - 374)**3/3
Factor 2*n**4 + 18*n**3 + 48*n**2 + 32*n.
2*n*(n + 1)*(n + 4)**2
Factor 2*q**3/9 + 38*q**2 + 4930*q/3 + 14450/9.
2*(q + 1)*(q + 85)**2/9
What is q in 6*q**2/7 + 92*q/7 -