late u.
-596, 0
Factor -2*i**3/15 - 862*i**2/3 - 774722*i/5 - 773286/5.
-2*(i + 1)*(i + 1077)**2/15
Suppose -4*k**4 - 52*k**3 - 116*k**2 + 532*k + 1176 = 0. Calculate k.
-7, -2, 3
Find p, given that 15*p**4 - 22235*p**3 + 7400*p**2 + 14820*p = 0.
-2/3, 0, 1, 1482
Suppose -2*t**2/3 + 92*t/3 + 94/3 = 0. What is t?
-1, 47
Solve -4*w**3/9 + 808*w**2/9 - 38272*w/9 - 86528/3 = 0 for w.
-6, 104
Factor -5*b**3 - 283*b**2 + 1664*b - 620.
-(b - 5)*(b + 62)*(5*b - 2)
Factor -b**2/4 + 619*b - 383161.
-(b - 1238)**2/4
Let -2*s**2/9 - 92*s/3 + 278/9 = 0. Calculate s.
-139, 1
Factor 8*d**3/9 + 10*d**2 + 34*d/3 + 20/9.
2*(d + 1)*(d + 10)*(4*d + 1)/9
Find p such that -21*p**3 - 18*p**2 + 129*p - 18 = 0.
-3, 1/7, 2
Suppose -6*m**2 + 116*m - 38 = 0. Calculate m.
1/3, 19
Solve -2*n**5/7 - 12*n**4/7 + 40*n**3/7 + 60*n**2/7 - 38*n/7 - 48/7 = 0.
-8, -1, 1, 3
Find b such that 10*b**5/7 + 41*b**4/7 + 52*b**3/7 + 17*b**2/7 - 8*b/7 - 4/7 = 0.
-2, -1, -1/2, 2/5
Factor 2*n**3/19 - 130*n**2/19 + 894*n/19 + 54.
2*(n - 57)*(n - 9)*(n + 1)/19
Factor -s**3/3 + 95*s**2/3 + 1025*s/3 + 875.
-(s - 105)*(s + 5)**2/3
What is n in n**4/8 + n**3/2 - 3*n**2/4 - n/2 + 5/8 = 0?
-5, -1, 1
What is l in -2*l**5 + 308*l**4/3 - 290*l**3/9 - 824*l**2/9 + 136*l/3 = 0?
-1, 0, 2/3, 51
Factor -2*z**4/3 - 50*z**3/3 - 224*z**2/3 + 392*z.
-2*z*(z - 3)*(z + 14)**2/3
What is c in -c**5/9 - 7*c**4/9 + 28*c**3/9 - 20*c**2/9 = 0?
-10, 0, 1, 2
Determine o, given that -2*o**2/3 + 12*o = 0.
0, 18
Factor w**4/2 + 31*w**3 - 743*w**2/2 - 834*w - 432.
(w - 12)*(w + 1)**2*(w + 72)/2
Find q, given that 2*q**4/5 + 202*q**3/5 + 1116*q**2 + 24192*q/5 + 27648/5 = 0.
-48, -3, -2
Solve j**5/2 - 2*j**4/5 - 163*j**3/5 - 38*j**2 - 63*j/10 = 0.
-7, -1, -1/5, 0, 9
Factor 4*m**2 - 47968*m + 143808064.
4*(m - 5996)**2
Factor -a**4 - 7*a**3 - 3*a**2 + 63*a + 108.
-(a - 3)*(a + 3)**2*(a + 4)
Factor -16*b**3 - 1946*b**2 - 58804*b + 22326.
-2*(b + 61)**2*(8*b - 3)
Find a such that -2*a**2/11 - 146*a/11 - 420/11 = 0.
-70, -3
Find q such that -q**4/3 - 38*q**3/3 + 49*q**2/3 + 398*q/3 + 104 = 0.
-39, -2, -1, 4
Determine m so that 2*m**3 + 140*m**2 - 438*m = 0.
-73, 0, 3
Factor 4*d**3/5 + 32*d**2/5 + 44*d/5 - 16.
4*(d - 1)*(d + 4)*(d + 5)/5
Factor -2*k**2 - 92*k + 94.
-2*(k - 1)*(k + 47)
Suppose -f**2/4 + 46*f - 2116 = 0. Calculate f.
92
Determine g, given that -21*g**3/2 - 2649*g**2 - 756*g = 0.
-252, -2/7, 0
What is g in -g**3/9 - g**2/9 + g/9 + 1/9 = 0?
-1, 1
Solve f**3 + 85*f**2 + 327*f + 243 = 0.
-81, -3, -1
Determine g so that g**4/4 - g**3 - 3*g**2/2 + 9*g - 27/4 = 0.
-3, 1, 3
Find p, given that -2*p**5/5 - 4*p**4/5 + 4*p**3 + 8*p**2 - 18*p/5 - 36/5 = 0.
-3, -2, -1, 1, 3
Factor -320*l**3 + 928*l**2 + 476*l/5 + 12/5.
-4*(l - 3)*(20*l + 1)**2/5
Find v such that v**3 - 69*v**2 = 0.
0, 69
Factor 4*v**2 + 25008*v + 39087504.
4*(v + 3126)**2
What is f in -f**4 - 20*f**3 - 132*f**2 - 320*f - 256 = 0?
-8, -2
Suppose -8*c**3 - 282*c**2 - 64*c + 210 = 0. What is c?
-35, -1, 3/4
Solve -2*j**2/7 - 2728*j/7 - 930248/7 = 0.
-682
Factor -5*r**3 + 20*r**2 + 25*r.
-5*r*(r - 5)*(r + 1)
Factor 4*m**3/3 + 20*m**2/3 - 4*m/3 - 20/3.
4*(m - 1)*(m + 1)*(m + 5)/3
Solve -2*a**2/23 + 266*a/23 = 0 for a.
0, 133
Factor -2*v**2/7 - 28*v - 570/7.
-2*(v + 3)*(v + 95)/7
Determine s so that -2*s**2/3 - 4*s/3 = 0.
-2, 0
Suppose 2*x**5 + 24*x**4 + 68*x**3 - 24*x**2 - 70*x = 0. Calculate x.
-7, -5, -1, 0, 1
Suppose 18*j**3/11 - 3452*j**2/11 + 2670*j/11 + 764/11 = 0. What is j?
-2/9, 1, 191
Factor 3*r**2 + 3*r.
3*r*(r + 1)
Find m, given that 3*m**4 - 51*m**3 + 189*m**2 - 81*m - 324 = 0.
-1, 3, 12
Suppose 2*s**4/11 + 34*s**3/11 - 2*s**2/11 - 34*s/11 = 0. Calculate s.
-17, -1, 0, 1
Solve -n**2/7 - 10*n/7 + 24/7 = 0 for n.
-12, 2
Determine a so that a**4 - 8*a**3 + 20*a**2 - 16*a = 0.
0, 2, 4
Solve -p**5 + 51*p**4/5 + 122*p**3/5 + 2*p**2 - 117*p/5 - 61/5 = 0 for p.
-1, 1, 61/5
Solve 2*q**3 + 30*q**2 + 96*q + 88 = 0 for q.
-11, -2
Factor -2*v**2 - 3894*v - 7780.
-2*(v + 2)*(v + 1945)
Factor 5*m**3 - 210*m**2 + 2400*m - 4000.
5*(m - 20)**2*(m - 2)
Factor 2*h**4/11 - 24*h**3/11 - 56*h**2/11.
2*h**2*(h - 14)*(h + 2)/11
Let 49*a**5/5 - 616*a**4/5 + 879*a**3/5 - 356*a**2/5 + 44*a/5 = 0. Calculate a.
0, 2/7, 1, 11
Factor 26*d**3 + 1114*d**2 - 2512*d + 360.
2*(d - 2)*(d + 45)*(13*d - 2)
Factor -l**2 - 8*l - 16.
-(l + 4)**2
Find d such that 4*d**4 + 124*d**3 + 1012*d**2 + 660*d - 1800 = 0.
-15, -2, 1
Find t, given that t**2 - 31*t + 150 = 0.
6, 25
Factor 2*t**3/9 - 1406*t**2/9 + 2806*t/9 - 1402/9.
2*(t - 701)*(t - 1)**2/9
Factor 4*z**2 + 224*z + 3136.
4*(z + 28)**2
Factor 4*o**2 + 424*o - 428.
4*(o - 1)*(o + 107)
Solve -24*s**4 + 332*s**3 - 712*s**2 - 3200*s - 512 = 0 for s.
-2, -1/6, 8
Factor i**5/2 - 9*i**4/2 + 15*i**3/2 - 7*i**2/2.
i**2*(i - 7)*(i - 1)**2/2
Factor b**3/7 - 36*b**2/7 - 37*b/7.
b*(b - 37)*(b + 1)/7
What is v in -6*v**5 + 3*v**4 + 57*v**3 - 42*v**2 - 132*v + 120 = 0?
-5/2, -2, 1, 2
Factor 2*u**4/5 - 26*u**3/5 + 66*u**2/5 + 154*u/5 - 196/5.
2*(u - 7)**2*(u - 1)*(u + 2)/5
Factor r**2/2 + 20*r + 168.
(r + 12)*(r + 28)/2
Solve 2*h**4 - 28*h**3 + 48*h**2 = 0 for h.
0, 2, 12
Let i**2/4 - 21*i/2 + 441/4 = 0. What is i?
21
Factor -3*k**3 - 12*k**2 + 45*k + 54.
-3*(k - 3)*(k + 1)*(k + 6)
Suppose -5*y**4/6 - 257*y**3/6 - 296*y**2/3 - 98*y/3 = 0. Calculate y.
-49, -2, -2/5, 0
Factor -2*m**2/3 + 44*m/9 - 16/3.
-2*(m - 6)*(3*m - 4)/9
Let u**2 - 546*u + 545 = 0. Calculate u.
1, 545
What is o in 2*o**2/3 + 8*o + 70/3 = 0?
-7, -5
Suppose 40*d**5 + 474*d**4 + 1619*d**3 + 989*d**2 - 1236*d + 220 = 0. Calculate d.
-11/2, -5, -2, 1/4, 2/5
Factor i**3 - 4*i**2 + i + 6.
(i - 3)*(i - 2)*(i + 1)
Factor 7*m**2 - 579*m - 166.
(m - 83)*(7*m + 2)
Factor -b**2/4 - 6*b + 25/4.
-(b - 1)*(b + 25)/4
Find k such that 2*k**3 - 34*k**2/3 + 6*k + 10/3 = 0.
-1/3, 1, 5
Suppose -y**2/6 + 55*y/3 - 36 = 0. Calculate y.
2, 108
Solve 2*d**3/7 - 24*d**2/7 + 512/7 = 0 for d.
-4, 8
Factor -2*s**2/5 - 52*s/5.
-2*s*(s + 26)/5
Factor n**3/7 + 10*n**2/7 - n/7 - 10/7.
(n - 1)*(n + 1)*(n + 10)/7
Factor -4*d**3 + 240*d**2 + 244*d.
-4*d*(d - 61)*(d + 1)
Factor 2*l**4/7 + 3012*l**3/7 + 1146002*l**2/7 + 1289136*l + 2564576.
2*(l + 4)**2*(l + 749)**2/7
What is j in 125*j**5/2 - 3050*j**4 - 1315*j**3/2 + 2179*j**2 + 1270*j + 196 = 0?
-2/5, 1, 49
Factor 3*u**3 - 12*u**2 + 15*u - 6.
3*(u - 2)*(u - 1)**2
Find k such that -2*k**4/15 - 4*k**3 - 326*k**2/15 + 476*k/5 - 208/3 = 0.
-20, -13, 1, 2
Determine x, given that -15*x**5/7 - 9*x**4/7 + 6141*x**3/7 - 52119*x**2/7 + 63426*x/7 - 17424/7 = 0.
-24, 2/5, 1, 11
Let i**4/5 + 69*i**3/5 + 947*i**2/5 + 639*i - 4212/5 = 0. What is i?
-52, -9, 1
Factor y**2/7 - 26*y/7 + 169/7.
(y - 13)**2/7
Suppose u**5/2 - 25*u**4/2 - 73*u**3/2 + 541*u**2/2 - 384*u + 162 = 0. Calculate u.
-6, 1, 2, 27
Factor g**3/6 - 13*g**2/6 + 6*g.
g*(g - 9)*(g - 4)/6
Factor -2*p**2/7 - 11532*p/7 - 16623378/7.
-2*(p + 2883)**2/7
Suppose -n**5 + 63*n**4 - 123*n**3 + 61*n**2 = 0. What is n?
0, 1, 61
Solve 4*m**2 + 288*m + 828 = 0.
-69, -3
Determine x so that x**3/5 - 4*x**2 + 77*x/5 + 242/5 = 0.
-2, 11
Factor -m**5/2 + 73*m**4 - 7197*m**3/2 + 61992*m**2 - 100224*m - 165888.
-(m - 48)**3*(m - 3)*(m + 1)/2
Let -p**3/2 - 5*p**2 + 13*p/2 + 11 = 0. What is p?
-11, -1, 2
Factor 3*u**4/4 + 5043*u**3/2 + 8487363*u**2/4 + 4236120*u + 2116800.
3*(u + 1)**2*(u + 1680)**2/4
Find s, given that 2*s**4 + 12*s**3 - 16*s**2 - 12*s + 14 = 0.
-7, -1, 1
What is x in -5*x**2 - 200*x - 2000 = 0?
-20
Factor 2*d**2/3 - 284*d + 30246.
2*(d - 213)**2/3
Factor -y**2 - 362*y - 361.
-(y + 1)*(y + 361)
Suppose -3*w**5/4 - 63*w**4/4 - 405*w**3/4 - 717*w**2/4 + 54*w + 243 = 0. Calculate w.
-9, -2, 1
Factor -2*k**3/9 - 128*k**2/9 + 398*k/9 - 268/9.
-2*(k - 2)*(k - 1)*(k + 67)/9
Let 4*n**2/5 - 104*n/5 - 108/5 = 0. What is n?
-1, 27
Suppose 162*k**4/7 + 36*k**3 - 136*k**2/7 + 16*k/7 = 0. Calculate k.
-2, 0, 2/9
Determine y so that -2*y**3/5 + 978*y**2/5 + 1962*y/5 + 982/5 = 0.
-1, 491
Factor -189*w**3/4 + 47*w**2 + w/4.
-w*(w - 1)*(189*w + 1)/4
Factor -3*m**4 - 192*m**3 - 558*m**2 - 552*m - 183.
-3*(m + 1)**3*(m + 61)
Factor 3*n**2/8 + 15*n + 54.
3*(n + 4)*(n + 36)/8
Suppose -4*f**3/7 + 348*f**2/7 = 0. What is f?
0, 87
Determine v, given that -35*v**3 - 43200*v**2 - 13336455*v - 3806890 = 0.
-617, -2/7
Factor 1922*x**3/11 - 32302*x**2/11 - 63