*g**3/9 + 20*g**2/3.
-4*g**2*(g - 15)/9
Determine k so that -k**5/6 - 10*k**4/3 - 47*k**3/2 - 203*k**2/3 - 196*k/3 = 0.
-7, -4, -2, 0
Factor -l**2/2 + 161*l/2.
-l*(l - 161)/2
Factor -2*g**4 - 84*g**3 - 576*g**2 - 1088*g.
-2*g*(g + 4)**2*(g + 34)
Solve -2*d**4/3 - 106*d**3/3 + 276*d**2 - 240*d = 0.
-60, 0, 1, 6
Factor 392*u**4 - 616*u**3 - 1158*u**2 + 1100*u + 1250.
2*(u + 1)**2*(14*u - 25)**2
Factor 3*l**4 + 765*l**3 + 759*l**2 - 765*l - 762.
3*(l - 1)*(l + 1)**2*(l + 254)
Solve 3*l**4 + 21*l**3 - 2361*l**2 + 6891*l - 4554 = 0.
-33, 1, 2, 23
Suppose 3*l**4/4 + 9*l**3/2 - 6*l**2 - 9*l/2 + 21/4 = 0. Calculate l.
-7, -1, 1
Factor -2*b**2 - 104*b - 102.
-2*(b + 1)*(b + 51)
Let -f**3 + 8*f**2 - 16*f = 0. What is f?
0, 4
Let -2*n**2/3 - 22*n + 68/3 = 0. Calculate n.
-34, 1
Factor 4*b**4 - 8*b**3 - 76*b**2 + 80*b.
4*b*(b - 5)*(b - 1)*(b + 4)
Determine d so that -2*d**3 + 482*d**2 = 0.
0, 241
What is b in 4*b**3/5 - 8*b**2/5 - 76*b/5 + 16 = 0?
-4, 1, 5
Suppose -x**5/3 + 52*x**4/3 + 36*x**3 + 2*x**2/3 - 107*x/3 - 18 = 0. What is x?
-1, 1, 54
Factor 2*v**5 - 6*v**4 + 2*v**3 + 6*v**2 - 4*v.
2*v*(v - 2)*(v - 1)**2*(v + 1)
Factor -12*h**4 - 80*h**3 - 192*h**2 - 192*h - 64.
-4*(h + 2)**3*(3*h + 2)
Factor -2*s**4/9 + 62*s**3/3 - 480*s**2.
-2*s**2*(s - 48)*(s - 45)/9
Factor -s**3/2 + 5*s**2/2 + 7*s.
-s*(s - 7)*(s + 2)/2
Find t such that -28*t**5 + 316*t**4 - 60*t**3 - 316*t**2 + 88*t = 0.
-1, 0, 2/7, 1, 11
Suppose -15*q**2/2 + 51*q + 21/2 = 0. Calculate q.
-1/5, 7
Solve 4*z**4 + 32*z**3 + 96*z**2 + 128*z + 64 = 0 for z.
-2
Let -138*m**4 - 694*m**3 - 20*m**2 = 0. What is m?
-5, -2/69, 0
Let -10*x**4/13 - 64*x**3/13 - 14*x**2/13 + 64*x/13 + 24/13 = 0. What is x?
-6, -1, -2/5, 1
Factor -3*u**3/5 + 78*u**2/5 + 3*u/5 - 78/5.
-3*(u - 26)*(u - 1)*(u + 1)/5
Let -2*n**3/3 + 8*n**2 - 70*n/3 = 0. Calculate n.
0, 5, 7
Let 2*p**3/9 + 238*p**2/9 + 2320*p/3 - 800 = 0. What is p?
-60, 1
Factor 2*w**3/3 + 14*w**2/3 + 32*w/3 + 8.
2*(w + 2)**2*(w + 3)/3
Let f**5 + 2*f**4 - 5*f**3 - 6*f**2 = 0. What is f?
-3, -1, 0, 2
Find k such that -3*k**5 - 3*k**4 + 9*k**3 + 15*k**2 + 6*k = 0.
-1, 0, 2
What is b in -b**2 - 2370*b = 0?
-2370, 0
Factor -5*f**3 + 775*f**2 + 2360*f + 1580.
-5*(f - 158)*(f + 1)*(f + 2)
Factor 4*f**3 - 3457*f**2/2 + 186840*f - 23328.
(f - 216)**2*(8*f - 1)/2
Factor 3*x**2 - 237*x.
3*x*(x - 79)
Factor -2*t**3 - 106*t**2 - 468*t + 576.
-2*(t - 1)*(t + 6)*(t + 48)
Find j such that -j**3/12 - 143*j**2/12 - 35*j = 0.
-140, -3, 0
Suppose z**5/6 - 11*z**4/3 - 58*z**3 - 87*z**2 + 297*z/2 = 0. What is z?
-9, -3, 0, 1, 33
Solve d**3/7 + 11*d**2 - 489*d/7 + 747/7 = 0 for d.
-83, 3
Determine d so that 3*d**2/2 + 379*d - 253/2 = 0.
-253, 1/3
Let -3*m**2 - 1620*m = 0. What is m?
-540, 0
Factor 2*r**3/19 + 2*r**2/19 - 4*r/19.
2*r*(r - 1)*(r + 2)/19
Factor 3*k**3 - 81*k**2 - 5844*k - 5760.
3*(k - 60)*(k + 1)*(k + 32)
Factor t**3/3 - t**2/3 - 16*t/3 + 16/3.
(t - 4)*(t - 1)*(t + 4)/3
Solve 2*z**4/13 - 180*z**3/13 - 366*z**2/13 - 184*z/13 = 0 for z.
-1, 0, 92
What is q in 4*q**2/5 + 4*q/5 - 8/5 = 0?
-2, 1
Factor 5*n**2 - 670*n + 1320.
5*(n - 132)*(n - 2)
Find i such that 51*i**3/4 + 15*i**2/2 - 783*i/4 + 351/2 = 0.
-78/17, 1, 3
Factor 2*g**3/7 - 24*g/7 + 32/7.
2*(g - 2)**2*(g + 4)/7
Find g such that -175*g**5 + 1345*g**4 - 3485*g**3 + 3515*g**2 - 1380*g + 180 = 0.
2/7, 2/5, 1, 3
Find d, given that -d**4/2 + 15*d**3/2 + d**2/2 - 15*d/2 = 0.
-1, 0, 1, 15
Determine l, given that -l**2/5 + 5538*l/5 - 7667361/5 = 0.
2769
Factor 3*g**5 - 15*g**4 + 6*g**3 + 24*g**2.
3*g**2*(g - 4)*(g - 2)*(g + 1)
Suppose -h**5/4 + 49*h**4/4 - 12*h**3 = 0. What is h?
0, 1, 48
Solve 2*p**2/7 + 4*p/7 + 2/7 = 0.
-1
What is v in v**2 + 46*v + 529 = 0?
-23
Find n such that n**5/3 - 12*n**4 - n**3/3 + 12*n**2 = 0.
-1, 0, 1, 36
Find k such that -4*k**2/3 - 28*k - 440/3 = 0.
-11, -10
What is i in i**2 - 305*i/2 - 153/2 = 0?
-1/2, 153
Solve -2*u**5/3 + 170*u**4/3 - 1534*u**3 + 40390*u**2/3 - 63700*u/3 = 0.
0, 2, 13, 35
Let -3*p**5 + 51*p**4 - 126*p**3 - 780*p**2 - 600*p = 0. Calculate p.
-2, -1, 0, 10
Factor m**5/2 - 8*m**4 + 39*m**3 - 56*m**2 + 49*m/2.
m*(m - 7)**2*(m - 1)**2/2
Solve -97*w**2/9 + 2*w/9 = 0.
0, 2/97
Determine c, given that -24*c**5/5 + 30*c**4 - 177*c**3/5 - 378*c**2/5 + 567*c/5 + 162/5 = 0.
-3/2, -1/4, 2, 3
Factor -5*g**3 - 525*g**2 - 15840*g - 103680.
-5*(g + 9)*(g + 48)**2
What is x in x**4/4 - 3*x**3 - 3*x**2/4 + 19*x/2 - 6 = 0?
-2, 1, 12
Solve 2*p**2/3 + 34*p/3 - 12 = 0.
-18, 1
Suppose -25*u**4 - 115*u**3 + 75*u**2 + 115*u - 50 = 0. Calculate u.
-5, -1, 2/5, 1
Solve 28*d**5 + 60*d**4 - 188*d**3 - 252*d**2 + 304*d + 48 = 0.
-3, -2, -1/7, 1, 2
Factor -3*t**2 + 27*t + 660.
-3*(t - 20)*(t + 11)
Factor 2*f**3 - 66*f**2 + 510*f + 578.
2*(f - 17)**2*(f + 1)
Let -2*l**4/3 - 14*l**3/3 + 20*l**2/3 + 32*l/3 = 0. What is l?
-8, -1, 0, 2
What is i in 2*i**2 - 108*i - 110 = 0?
-1, 55
Determine s, given that 2*s**5/9 - 4*s**3/3 - 16*s**2/9 - 2*s/3 = 0.
-1, 0, 3
Find i such that 4*i**4 - 20*i**3/3 - 44*i**2/3 - 4*i = 0.
-1, -1/3, 0, 3
Solve 40*a**3/9 + 4*a**2 - 28*a/3 + 8/9 = 0.
-2, 1/10, 1
Factor 2*c**2/7 - 564*c/7 + 39762/7.
2*(c - 141)**2/7
Factor 5*m**2 - 12050*m + 7260125.
5*(m - 1205)**2
Factor -4*q**3 + 12*q**2 + 4*q - 12.
-4*(q - 3)*(q - 1)*(q + 1)
Factor -h**4/3 + 25*h**3/3 + 224*h**2/3.
-h**2*(h - 32)*(h + 7)/3
Factor 4*h**5 - 20*h**4 - 7320*h**3 + 186200*h**2 - 1205740*h - 1399236.
4*(h - 19)**3*(h + 1)*(h + 51)
Determine o, given that 6*o**2 - 9*o/4 = 0.
0, 3/8
Determine x, given that -3*x**5/10 + 7*x**4/5 - 17*x**3/10 - 3*x**2/5 + 2*x - 4/5 = 0.
-1, 2/3, 1, 2
Solve h**3/5 - 214*h**2/5 + 2332*h - 22472/5 = 0 for h.
2, 106
Solve -28*f**2 + 7716*f - 4400 = 0.
4/7, 275
Factor 5*o**2 + 200*o + 720.
5*(o + 4)*(o + 36)
Factor y**2 + 46*y - 432.
(y - 8)*(y + 54)
Solve 8*y**2 + 324*y - 504 = 0.
-42, 3/2
Suppose -64*y**5 - 2144*y**4 - 5092*y**3 - 4132*y**2 - 1244*y - 124 = 0. What is y?
-31, -1, -1/4
Factor -2*b**3 + 36*b**2 - 142*b + 156.
-2*(b - 13)*(b - 3)*(b - 2)
Factor r**4/3 + 18*r**3 + 100*r**2 + 584*r/3 + 128.
(r + 2)**3*(r + 48)/3
Find g such that -3*g**3 + 102*g**2 - 267*g - 372 = 0.
-1, 4, 31
Let 205*j**2 - 1228*j - 12 = 0. What is j?
-2/205, 6
Factor -4*o**2/5 + 348*o/5 - 1944/5.
-4*(o - 81)*(o - 6)/5
Factor 4*x**3 + 4*x**2 - 132*x + 252.
4*(x - 3)**2*(x + 7)
Solve 6*a**4/5 - 76*a**3/5 - 1606*a**2/15 + 19448*a/15 + 6936/5 = 0.
-9, -1, 34/3
Suppose t**3/2 - 6*t**2 - 43*t/2 - 15 = 0. Calculate t.
-2, -1, 15
Factor 2*p**5 - 2*p**4 - 58*p**3 + 90*p**2 + 432*p - 864.
2*(p - 3)**3*(p + 4)**2
Let 6*g**5 - 2870*g**4/11 + 42024*g**3/11 - 213408*g**2/11 + 89152*g/11 + 23520/11 = 0. Calculate g.
-2/11, 2/3, 14, 15
Determine w so that 9*w**3/7 + 114*w**2/7 - 39*w/7 = 0.
-13, 0, 1/3
Determine g, given that -3*g**2 - 2028*g + 2031 = 0.
-677, 1
Factor -s**2 - 3493*s.
-s*(s + 3493)
Factor y**4/4 - 23*y**3/2 + 481*y**2/4 + 276*y + 144.
(y - 24)**2*(y + 1)**2/4
Let -2*b**2/7 + 2514*b/7 = 0. What is b?
0, 1257
Factor -2*a**4 - 10*a**3 + 26*a**2 - 14*a.
-2*a*(a - 1)**2*(a + 7)
Factor -o**2 - 167*o - 330.
-(o + 2)*(o + 165)
Factor y**5/7 + 46*y**4/7 - 21*y**3.
y**3*(y - 3)*(y + 49)/7
Find t, given that 2*t**2 - 22*t - 160 = 0.
-5, 16
Find k, given that -9*k**3 - 606*k**2 + 3000*k - 1728 = 0.
-72, 2/3, 4
Determine n so that n**3/6 + 11*n**2/6 - 28*n/3 + 10 = 0.
-15, 2
Let -2*f**3 - 106*f**2 = 0. What is f?
-53, 0
Let 21*z**4 + 180*z**3 + 276*z**2 = 0. What is z?
-46/7, -2, 0
Factor -9*p**3/7 - 155*p**2/7 + 128*p/7 + 36/7.
-(p - 1)*(p + 18)*(9*p + 2)/7
Suppose -4*x**3 - 424*x**2 - 13056*x - 92160 = 0. What is x?
-48, -10
Factor 20*q**2/7 - 36*q - 104/7.
4*(q - 13)*(5*q + 2)/7
Factor -m**4 + 3*m**3 + 9*m**2 - 27*m.
-m*(m - 3)**2*(m + 3)
Determine h, given that -45*h**2 - 200*h = 0.
-40/9, 0
Let -2*w**3/19 - 6*w**2/19 = 0. What is w?
-3, 0
Find m, given that -10*m**5/23 + 152*m**4/23 - 6*m**3 - 476*m**2/23 + 808*m/23 - 336/23 = 0.
-2, 1, 6/5, 14
Solve 3*d**3/7 - 30*d**2/7 + 69*d/7 - 6 = 0.
1, 2, 7
Factor 3*i**2/8 + 15*i/2 - 33/2.
3*(i - 2)*(i + 22)/8
Factor 4*h**2 - 124*h - 264.
4*(h - 33)*(h + 2)
Find r such that -r**5/7 + 36*r**4/7 - 232*r**3/7 - 306*r**2/7 + 233*r/7 + 270/7 = 0.
-1, 1, 10, 27
Let -10*s**3/3 + 194*s**2/3 + 344*s/3 - 56 = 0. What is s?
-2, 2/5, 21
Factor 1055*l**3/3 - 355*l**2 + 10*l/3.
5*l*(l - 1