r 4*m**2 - 64*m + 60.
4*(m - 15)*(m - 1)
Factor 5*r**3 + 215*r**2 - 920*r + 940.
5*(r - 2)**2*(r + 47)
Suppose -4*s**2 - 52*s/5 + 24/5 = 0. Calculate s.
-3, 2/5
Suppose 3*n**4/2 + 51*n**3/2 - 57*n**2/2 - 51*n/2 + 27 = 0. What is n?
-18, -1, 1
Factor -98*w**4/13 - 140*w**3/13 + 5550*w**2/13 + 4000*w/13 - 80000/13.
-2*(w - 5)**2*(7*w + 40)**2/13
What is k in 3*k**5/5 - 144*k**4/5 - 1137*k**3/5 - 198*k**2 = 0?
-6, -1, 0, 55
Determine p, given that -6*p**4 - 134*p**3 - 980*p**2 - 2472*p - 720 = 0.
-10, -6, -1/3
Factor -2*w**2 - 208*w + 424.
-2*(w - 2)*(w + 106)
Solve -489*y**3 - 1461*y**2 + 1974*y - 24 = 0.
-4, 2/163, 1
Factor -2*d**2 + 58*d - 156.
-2*(d - 26)*(d - 3)
Let 58*v**5/3 - 62*v**4/3 - 18*v**3 + 62*v**2/3 - 4*v/3 = 0. Calculate v.
-1, 0, 2/29, 1
Find x, given that 3*x**3 + 165*x**2 + 2349*x + 2187 = 0.
-27, -1
Factor -5*z**4 + 5*z**3 + 75*z**2 + 115*z + 50.
-5*(z - 5)*(z + 1)**2*(z + 2)
Let 4*d**2/5 + 32*d/5 - 16 = 0. Calculate d.
-10, 2
Find z such that 4*z**2 - 72*z + 68 = 0.
1, 17
Determine s, given that -9*s**5 + 12*s**4 + 146*s**3 - 232*s**2 - 201*s - 36 = 0.
-4, -1/3, 3
Factor -2*n**3/13 + 4*n**2/13 + 8*n/13 - 16/13.
-2*(n - 2)**2*(n + 2)/13
Suppose -2*z**5 - 42*z**4 - 340*z**3 - 1300*z**2 - 2250*z - 1250 = 0. What is z?
-5, -1
Factor -2*p**2/7 - 390*p/7 - 1152/7.
-2*(p + 3)*(p + 192)/7
Let 5*y**4 - 280*y**3 - 1175*y**2 - 1490*y - 600 = 0. Calculate y.
-2, -1, 60
Factor k**2 + 22*k + 21.
(k + 1)*(k + 21)
Suppose d**5/3 - 2*d**4 - 28*d**3/3 + 102*d**2 - 279*d + 252 = 0. What is d?
-7, 3, 4
Factor 3*l**2/5 - 789*l/5 - 792/5.
3*(l - 264)*(l + 1)/5
Determine i, given that 3*i**3 + 4446*i**2 + 2196324*i + 361661352 = 0.
-494
Determine u so that -2*u**3/3 - 170*u**2/3 - 316*u/3 + 1328/3 = 0.
-83, -4, 2
Find p such that -2*p**4/5 - 1484*p**3/5 - 275282*p**2/5 = 0.
-371, 0
Let -n**3/10 - 7*n**2/10 - 3*n/2 - 9/10 = 0. Calculate n.
-3, -1
Factor s**3/7 - 9*s**2/7 - 129*s/7 - 17.
(s - 17)*(s + 1)*(s + 7)/7
Solve 12*y**5 + 4*y**4/7 - 400*y**3/7 + 256*y/7 - 64/7 = 0.
-2, -1, 2/7, 2/3, 2
Suppose -3*u**5/5 + 3*u**4 - 18*u**3/5 = 0. What is u?
0, 2, 3
Factor n**3 + 1181*n**2 + 348099*n - 349281.
(n - 1)*(n + 591)**2
Factor -z**4/4 - 7*z**3/4 - 7*z**2/2 - 2*z.
-z*(z + 1)*(z + 2)*(z + 4)/4
Solve -2*o**3 + o**2/2 + 29*o/2 - 15 = 0 for o.
-3, 5/4, 2
Determine f so that -f**3/6 - 167*f**2/3 - 662*f/3 - 220 = 0.
-330, -2
Factor 15*o**4 - 41*o**3 + 24*o**2 - 4*o.
o*(o - 2)*(3*o - 1)*(5*o - 2)
Factor -3*p**2/7 - 123*p/7 - 444/7.
-3*(p + 4)*(p + 37)/7
Solve -3*w**2 + 21*w + 180 = 0.
-5, 12
Let -4*h**2 + 152*h + 156 = 0. What is h?
-1, 39
Factor -2*c**2/19 - 736*c/19 - 67712/19.
-2*(c + 184)**2/19
Factor 22500*q**2 - 4200*q + 196.
4*(75*q - 7)**2
Factor 5*c**2/4 - 35*c + 65.
5*(c - 26)*(c - 2)/4
Factor -3*p**3/5 - 21*p**2/5 - 36*p/5.
-3*p*(p + 3)*(p + 4)/5
Determine p, given that -2*p**4/7 + 20*p**3 + 582*p**2/7 + 736*p/7 + 296/7 = 0.
-2, -1, 74
Factor -2*c**5 - 102*c**4 - 2016*c**3 - 19008*c**2 - 82944*c - 124416.
-2*(c + 3)*(c + 12)**4
Determine b so that 2*b**5 - 12*b**4 + 14*b**3 + 12*b**2 - 16*b = 0.
-1, 0, 1, 2, 4
Factor -2*j**2/7 + 46*j/7 + 40.
-2*(j - 28)*(j + 5)/7
Suppose 4*w**2/7 - 516*w/7 + 2952/7 = 0. What is w?
6, 123
Find r such that -3*r**3 + 59*r**2 + 20*r = 0.
-1/3, 0, 20
What is j in 2*j**3/5 - 66*j**2/5 - 224*j/5 + 288/5 = 0?
-4, 1, 36
Find o such that -o**5/6 - o**4/6 + 2*o**3 + 8*o**2/3 - 16*o/3 - 8 = 0.
-2, 2, 3
Suppose 2*s**3/5 - 156*s**2/5 - 158*s/5 = 0. Calculate s.
-1, 0, 79
Find s such that -5*s**3 + 605*s**2 = 0.
0, 121
Factor 3*z**2 - 4974*z + 2061723.
3*(z - 829)**2
Factor -b**3/2 - 741*b**2/2.
-b**2*(b + 741)/2
Let 45*j**5 - 190*j**4 + 175*j**3 + 150*j**2 - 220*j + 40 = 0. What is j?
-1, 2/9, 1, 2
Solve -5*r**3/4 - 10*r**2 - 75*r/4 = 0.
-5, -3, 0
Factor 3*j**3 - 1554*j**2 - 6252*j - 6264.
3*(j - 522)*(j + 2)**2
Suppose -f**3 + 72*f**2 + 4*f - 288 = 0. What is f?
-2, 2, 72
Factor -n**3/4 + 11*n**2/2 - 10*n.
-n*(n - 20)*(n - 2)/4
Factor 2*i**3/3 + 26*i**2/3 + 28*i/3 - 176/3.
2*(i - 2)*(i + 4)*(i + 11)/3
Solve -3*k**2 + 11820*k - 11642700 = 0.
1970
Let 3*d**5/4 + 37*d**4/4 + 45*d**3/2 - 5*d**2/2 - 93*d/4 - 27/4 = 0. Calculate d.
-9, -3, -1, -1/3, 1
Factor 55*h**3 - 1260*h**2 + 4835*h + 450.
5*(h - 18)*(h - 5)*(11*h + 1)
Factor -4*k**5 + 416*k**4 - 16192*k**3 + 279552*k**2 - 1806336*k.
-4*k*(k - 28)**2*(k - 24)**2
Let 2*r**2/7 + 12*r/7 = 0. Calculate r.
-6, 0
Factor n**3/4 + 21*n**2/4 - 45*n/4 + 23/4.
(n - 1)**2*(n + 23)/4
Determine m, given that -5*m**5 + 65*m**4 - 235*m**3 + 295*m**2 - 120*m = 0.
0, 1, 3, 8
Solve -d**3/2 + 15*d**2/2 - 63*d/2 + 49/2 = 0.
1, 7
Determine t so that -3*t**2 - 840*t - 58800 = 0.
-140
Determine o, given that -16*o**4 - 112*o**3/3 - 31*o**2/3 + 5*o/6 + 1/3 = 0.
-2, -1/4, 1/6
Solve 3*t**5/5 - 12*t**4/5 - 3*t**3/5 + 48*t**2/5 - 36*t/5 = 0 for t.
-2, 0, 1, 2, 3
Find c, given that 3*c**3 - 9*c - 6 = 0.
-1, 2
Find x such that 4*x**4 - 228*x**3 - 476*x**2 + 228*x + 472 = 0.
-2, -1, 1, 59
Determine d so that 3*d**5 + 39*d**4 + 126*d**3 + 24*d**2 - 192*d = 0.
-8, -4, -2, 0, 1
Find m such that -3*m**2/5 - 90*m - 888/5 = 0.
-148, -2
Suppose -12*o**2 - 200*o + 68 = 0. What is o?
-17, 1/3
Factor 3*b**2 - 33*b + 84.
3*(b - 7)*(b - 4)
What is y in -2*y**3/5 + 106*y**2/5 + 448*y/5 + 456/5 = 0?
-2, 57
Factor -s**2/3 - 8*s/3 - 7/3.
-(s + 1)*(s + 7)/3
Factor -w**2/4 + 227*w/4 + 57.
-(w - 228)*(w + 1)/4
Factor 3*r**2 + 3366*r.
3*r*(r + 1122)
Factor 5*f**4 + 605*f**3 - 1225*f**2 + 615*f.
5*f*(f - 1)**2*(f + 123)
Let 35*s**5 - 375*s**4 - 5*s**3 + 7135*s**2 - 4830*s - 1960 = 0. What is s?
-4, -2/7, 1, 7
Factor -r**5 - 294*r**4 - 32558*r**3 - 1620016*r**2 - 31510377*r - 56796482.
-(r + 2)*(r + 73)**4
Determine l, given that -20*l**5 + 628*l**4 - 808*l**3 - 976*l**2 + 480*l = 0.
-1, 0, 2/5, 2, 30
Suppose -u**4/6 - 7*u**3/2 - 53*u**2/6 + 7*u/2 + 9 = 0. Calculate u.
-18, -3, -1, 1
Solve f**4/7 + 16*f**3/7 - 51*f**2/7 - 234*f/7 + 648/7 = 0.
-18, -4, 3
Factor l**2/7 - 1248*l/7 + 356.
(l - 1246)*(l - 2)/7
Let -14*q**2/11 + 78*q/11 + 92/11 = 0. What is q?
-1, 46/7
Find q such that -3*q**4 - 111*q**3 + 1161*q**2 - 3645*q + 3726 = 0.
-46, 3
Solve -9*p**3/5 - 101*p**2/5 - 292*p/5 - 12 = 0 for p.
-6, -5, -2/9
Let -2*o**4/5 - 11*o**3/5 - o**2 = 0. What is o?
-5, -1/2, 0
Determine z, given that z**5/4 - z**4/4 - 5*z**3/4 + 5*z**2/4 + z - 1 = 0.
-2, -1, 1, 2
Let o**4/5 + 6*o**3/5 + 12*o**2/5 + 2*o + 3/5 = 0. Calculate o.
-3, -1
Factor 3*x**5 - 3*x**4 - 3*x**3 + 3*x**2.
3*x**2*(x - 1)**2*(x + 1)
Let 525*v**3 - 380*v**2 + 20*v = 0. Calculate v.
0, 2/35, 2/3
Factor j**4/4 + j**3/4 - 9*j**2/4 - 9*j/4.
j*(j - 3)*(j + 1)*(j + 3)/4
Suppose 41*m**4 - 365*m**3 + 1071*m**2 - 999*m - 108 = 0. What is m?
-4/41, 3
Find z such that 3*z**3 + 141*z**2 + 1368*z + 3780 = 0.
-35, -6
Suppose -5*o**4 + 1185*o**3 - 67125*o**2 - 373285*o + 439230 = 0. Calculate o.
-6, 1, 121
Factor -o**3/8 + 25*o**2/8 - 17*o/2 + 11/2.
-(o - 22)*(o - 2)*(o - 1)/8
Factor -2*k**2/15 + 2*k - 24/5.
-2*(k - 12)*(k - 3)/15
Factor -x**2/7 + 762*x/7 - 145161/7.
-(x - 381)**2/7
What is g in 2*g**5 + g**4/4 - 10*g**3 - 5*g**2/4 + 8*g + 1 = 0?
-2, -1, -1/8, 1, 2
Suppose -2*g**5/7 + 272*g**4/7 - 268*g**3/7 - 272*g**2/7 + 270*g/7 = 0. What is g?
-1, 0, 1, 135
Factor q**2/9 - 20*q/9 - 100/3.
(q - 30)*(q + 10)/9
Solve 2*n**5/15 + 56*n**4/15 + 148*n**3/5 + 728*n**2/15 + 338*n/15 = 0 for n.
-13, -1, 0
What is w in -2*w**3/7 + 16*w**2/7 - 22*w/7 - 40/7 = 0?
-1, 4, 5
Factor 2*q**2/9 - 920*q/9.
2*q*(q - 460)/9
Suppose -10*t**5/9 - 22*t**4/9 + 46*t**3/9 + 70*t**2/9 + 4*t/3 = 0. What is t?
-3, -1, -1/5, 0, 2
Determine c, given that 2*c**4/7 + 64*c**3/7 + 512*c**2/7 = 0.
-16, 0
Solve -3*r**3/7 - 12*r**2/7 + 60*r/7 + 144/7 = 0 for r.
-6, -2, 4
Factor 4*d**2 + 40*d - 44.
4*(d - 1)*(d + 11)
Solve 2*y**3/13 - 50*y**2/13 - 1256*y/13 - 2296/13 = 0 for y.
-14, -2, 41
Factor 3*s**3 - 39*s**2/5 + 33*s/5 - 9/5.
3*(s - 1)**2*(5*s - 3)/5
Factor 21*j**4 + 237*j**3 + 444*j**2 + 108*j.
3*j*(j + 2)*(j + 9)*(7*j + 2)
Factor j**3/7 + 5*j**2/7 - 24*j/7.
j*(j - 3)*(j + 8)/7
Factor -2*k**2/11 + 32*k/11 - 56/11.
-2*(k - 14)*(k - 2)/11
Suppose 122*m**2/3 - 1382*m - 68/3 = 0. Calculate m.
-1/61, 34
Factor 5*m**5 + 17*m**4 + 16*m**3 + 4*m**2.
m**2*(m + 1)*(m + 2)*(5*m + 2)
Solve 2*f**2/5 + 72*f/5 + 198/5 = 0 for f.
-33, -