1476*m + 272322.
2*(m + 369)**2
Factor v**5/3 - v**4/3 - 208*v**3/3 - 1088*v**2/3.
v**2*(v - 17)*(v + 8)**2/3
Suppose 2*r**4/5 - 32*r**3/5 - 1686*r**2/5 - 10036*r/5 + 5408 = 0. What is r?
-13, 2, 40
Find n such that 3*n**4/4 + 6*n**3 + 15*n**2/4 - 57*n/2 + 18 = 0.
-6, -4, 1
Solve -g**2/4 + 581*g/2 + 1163/4 = 0.
-1, 1163
Factor 2*h**5 + 5*h**4 - 2*h**3 - 5*h**2.
h**2*(h - 1)*(h + 1)*(2*h + 5)
Factor 3*d**3 - 12*d**2 - 3*d + 12.
3*(d - 4)*(d - 1)*(d + 1)
Determine s, given that 2*s**2 + 132*s + 2178 = 0.
-33
Factor -3*z**2 - 2994*z + 2997.
-3*(z - 1)*(z + 999)
Determine n, given that -3*n**5 + 150*n**4 + 504*n**3 - 1362*n**2 - 3621*n - 1908 = 0.
-4, -1, 3, 53
Factor 2*o**4 + 4*o**3 - 24*o**2 - 80*o - 64.
2*(o - 4)*(o + 2)**3
Let 2*r**3 - 2*r**2 - 4*r = 0. Calculate r.
-1, 0, 2
Factor -4*m**2 - 2628*m - 2624.
-4*(m + 1)*(m + 656)
Let -2*q**4/9 + 4*q**3/3 - 44*q/9 - 10/3 = 0. What is q?
-1, 3, 5
Factor -z**2/5 + 24*z/5.
-z*(z - 24)/5
Suppose j**2 - 26*j + 169 = 0. What is j?
13
Factor 2*d**2/7 - 80*d/7 - 24.
2*(d - 42)*(d + 2)/7
Let -2*w**3/11 + 3450*w**2/11 = 0. Calculate w.
0, 1725
What is n in 4*n**5/3 - 313*n**4/3 + 682*n**3/3 + 161*n**2/3 - 686*n/3 + 152/3 = 0?
-1, 1/4, 1, 2, 76
Suppose -v**2 + v + 2 = 0. What is v?
-1, 2
Factor -2*t**4/17 - 98*t**3 - 4986*t**2/17 - 4982*t/17 - 1660/17.
-2*(t + 1)**3*(t + 830)/17
Factor -t**3/4 - 317*t**2/4 + 803*t/2 - 322.
-(t - 4)*(t - 1)*(t + 322)/4
Factor 9*r**3 + 1302*r**2 - 1749*r + 438.
3*(r - 1)*(r + 146)*(3*r - 1)
Factor -3*y**3/7 + 39*y**2/7 - 66*y/7.
-3*y*(y - 11)*(y - 2)/7
Suppose 2*w**5/21 - 26*w**3/21 - 32*w**2/21 + 8*w/7 + 32/21 = 0. Calculate w.
-2, -1, 1, 4
Factor h**3/6 + 20*h**2/3 + 38*h/3.
h*(h + 2)*(h + 38)/6
Suppose 10*l**5 + 7538*l**4/7 + 5144*l**3/7 + 856*l**2/7 = 0. What is l?
-107, -2/5, -2/7, 0
Let -3*i**3/4 + 9*i**2/8 + 9*i/8 - 3/4 = 0. Calculate i.
-1, 1/2, 2
Suppose 27*q**3/2 - 159*q**2 - 215*q/6 - 2 = 0. What is q?
-1/9, 12
Factor 3*p**3 - 192*p**2 + 3696*p - 18816.
3*(p - 28)**2*(p - 8)
Find y, given that 13*y**2/2 - 36*y - 18 = 0.
-6/13, 6
Let 9*y**3 - 33*y**2 - 144*y + 108 = 0. Calculate y.
-3, 2/3, 6
Let 2*y**2/5 - 2016*y/5 + 508032/5 = 0. Calculate y.
504
Determine m so that -9*m**3/7 - 111*m**2/7 - 33*m + 105 = 0.
-7, 5/3
Solve -35*s**4 - 95*s**3 + 380*s**2 - 100*s = 0 for s.
-5, 0, 2/7, 2
Factor 3*t**4 - 129*t**3 - 132*t**2.
3*t**2*(t - 44)*(t + 1)
Let 2*l**2/7 + 92*l/7 + 176/7 = 0. Calculate l.
-44, -2
Suppose -2*u**4/3 + 40*u**3/3 - 77*u**2/6 + 19*u/6 = 0. Calculate u.
0, 1/2, 19
Let 60*d**4 + 125*d**3 + 65*d**2 - 5*d - 5 = 0. Calculate d.
-1, -1/3, 1/4
Factor -w**3/4 - 13*w**2/4 + 65*w/4 - 51/4.
-(w - 3)*(w - 1)*(w + 17)/4
Find u, given that 4*u**5 + 32*u**4 + 36*u**3 - 72*u**2 = 0.
-6, -3, 0, 1
Factor 2*i**4 - 968*i**3 + 115176*i**2 + 472384*i + 476288.
2*(i - 244)**2*(i + 2)**2
Factor 2*f**3 - 12*f**2 + 24*f - 16.
2*(f - 2)**3
Factor g**2/8 - 5*g + 99/2.
(g - 22)*(g - 18)/8
Factor 3*o**2 - 87*o - 90.
3*(o - 30)*(o + 1)
Let k**4 + 11*k**3 - 25*k**2 + 13*k = 0. What is k?
-13, 0, 1
Determine p so that -2*p**3/3 + 10*p**2/3 + 16*p/3 - 8 = 0.
-2, 1, 6
Factor -20*y**2 - 45*y.
-5*y*(4*y + 9)
Factor 2*z**3 + 20*z**2 + 46*z + 28.
2*(z + 1)*(z + 2)*(z + 7)
Factor -t**4 + 2*t**3 + 7*t**2 - 20*t + 12.
-(t - 2)**2*(t - 1)*(t + 3)
Suppose -5*v**2 - 3148*v + 1260 = 0. What is v?
-630, 2/5
Factor o**3/3 + 47*o**2/3 - o/3 - 47/3.
(o - 1)*(o + 1)*(o + 47)/3
Factor -z**4/3 + 47*z**3/3 - 224*z**2 + 2480*z/3 + 3200/3.
-(z - 20)**2*(z - 8)*(z + 1)/3
Solve -f**5/12 + f**4/3 - 5*f**2/6 + f/12 + 1/2 = 0.
-1, 1, 2, 3
Find y such that 145*y**3 - 135*y**2 - 10*y = 0.
-2/29, 0, 1
Factor 12*p**4 + 69*p**3 - 198*p**2 - 1155*p + 300.
3*(p - 4)*(p + 5)**2*(4*p - 1)
Factor 2*g**2 - 14*g - 120.
2*(g - 12)*(g + 5)
Find t such that -3*t**3 - 3*t**2 + 75*t + 75 = 0.
-5, -1, 5
Suppose 5*c**3 - 595*c**2 + 590*c = 0. Calculate c.
0, 1, 118
Factor -k**3/7 - 87*k**2/7 + 268*k/7 - 180/7.
-(k - 2)*(k - 1)*(k + 90)/7
Factor 7*f**2/5 - 38*f/5 - 77/5.
(f - 7)*(7*f + 11)/5
Suppose -109*z**2 - 75*z + 34 = 0. Calculate z.
-1, 34/109
Determine o, given that -3*o**5/2 - 59*o**4/2 - 575*o**3/3 - 1367*o**2/3 - 1465*o/6 - 75/2 = 0.
-9, -5, -1/3
Factor 3*y**2/5 - 18*y - 777/5.
3*(y - 37)*(y + 7)/5
Determine l, given that -12*l**3 - 370*l**2 - 298*l + 60 = 0.
-30, -1, 1/6
Factor -5*p**5 + 495*p**4 - 18630*p**3 + 328050*p**2 - 2657205*p + 7971615.
-5*(p - 27)**3*(p - 9)**2
Factor -5*m**2 + 170*m - 165.
-5*(m - 33)*(m - 1)
Factor 3*i**3 + 120*i**2 - 3*i - 120.
3*(i - 1)*(i + 1)*(i + 40)
What is z in -4*z**2 + 9072*z - 5143824 = 0?
1134
Find v such that -2*v**5/11 + 24*v**4/11 - 2*v**3 = 0.
0, 1, 11
Solve 4*g**4/7 + 4432*g**3/7 + 1223224*g**2/7 - 2459760*g/7 + 1232100/7 = 0.
-555, 1
Let -b**4/3 + 16*b**3/3 - 94*b**2/3 + 80*b - 75 = 0. Calculate b.
3, 5
Factor 5*p**4 - 75*p**3 + 240*p**2 + 320*p.
5*p*(p - 8)**2*(p + 1)
Factor b**2/2 + 86*b + 3698.
(b + 86)**2/2
Factor -w**3 + 68*w**2 - 132*w.
-w*(w - 66)*(w - 2)
Solve -2*a**2/7 + 1152/7 = 0.
-24, 24
Solve 1161*k**3 - 849*k**2 - 300*k - 12 = 0.
-2/9, -2/43, 1
Factor -c**3/4 + 43*c**2/2 - 336*c - 5760.
-(c - 48)**2*(c + 10)/4
Determine o, given that o**4 + 37*o**3 - 77*o**2 + 39*o = 0.
-39, 0, 1
Suppose -3*x**3 - 51*x**2 - 93*x - 45 = 0. What is x?
-15, -1
Find r, given that -2*r**5 + 26*r**4 + 68*r**3 - 104*r**2 - 240*r = 0.
-2, 0, 2, 15
Factor -4*n**2 + 64*n - 192.
-4*(n - 12)*(n - 4)
Determine s so that s**3/4 + 13*s**2/4 + 15*s/2 = 0.
-10, -3, 0
Factor -4*s**3 + 8*s**2.
-4*s**2*(s - 2)
Let 7*c**3/5 + 299*c**2/5 + 208*c/5 - 84/5 = 0. What is c?
-42, -1, 2/7
Suppose 2*h**3/15 - 278*h**2/15 - 562*h/15 - 94/5 = 0. Calculate h.
-1, 141
Factor -6*p**2 + 147*p + 75.
-3*(p - 25)*(2*p + 1)
Factor 6591*b**5 - 468468*b**4 + 11937159*b**3 - 126963450*b**2 + 487402596*b - 605495736.
3*(b - 3)**2*(13*b - 282)**3
Factor p**5 + 27*p**4 + 233*p**3 + 549*p**2 - 810*p.
p*(p - 1)*(p + 9)**2*(p + 10)
Factor 2*g**2 - 166*g.
2*g*(g - 83)
Factor w**4/3 + 69*w**3 + 206*w**2/3.
w**2*(w + 1)*(w + 206)/3
Solve 2*o**5 + 2*o**4 - 30*o**3 + 46*o**2 - 20*o = 0.
-5, 0, 1, 2
Solve -2*m**5 + 104*m**4/9 - 70*m**3/3 + 164*m**2/9 - 8*m/3 - 16/9 = 0 for m.
-2/9, 1, 2
Factor y**3 - 7*y**2 + 12*y.
y*(y - 4)*(y - 3)
Let b**5/6 - b**4/6 - 5*b**3/6 - b**2/2 = 0. What is b?
-1, 0, 3
Factor 5*g**3 - 60*g**2 - 5*g + 60.
5*(g - 12)*(g - 1)*(g + 1)
Factor -4*z**2 + 9052*z - 9048.
-4*(z - 2262)*(z - 1)
Solve 2*k**4/9 - 4*k**3/9 - 2*k**2/9 + 4*k/9 = 0 for k.
-1, 0, 1, 2
Suppose 2*x**3 - 4*x**2 + 2*x = 0. What is x?
0, 1
Factor -g**4 + 104*g**3 + 105*g**2.
-g**2*(g - 105)*(g + 1)
Suppose 4*b**5/5 - 24*b**4/5 + 32*b**3/5 + 24*b**2/5 - 36*b/5 = 0. What is b?
-1, 0, 1, 3
What is i in -4*i**2 + 2824*i + 2828 = 0?
-1, 707
Let 2*o**3 - 64*o**2 + 582*o - 1224 = 0. Calculate o.
3, 12, 17
Factor 3*c**3 - 42*c**2 + 33*c + 78.
3*(c - 13)*(c - 2)*(c + 1)
Factor 3*o**3/4 + 39*o**2/4 + 117*o/4 + 81/4.
3*(o + 1)*(o + 3)*(o + 9)/4
Factor -y**3/5 - 11*y**2/5 + 16*y/5 + 64.
-(y - 5)*(y + 8)**2/5
Let 2*g**4/5 - 16*g**3/15 - 4*g**2 - 16*g/5 - 2/3 = 0. What is g?
-1, -1/3, 5
Factor 3*j**2/5 + 546*j - 5472/5.
3*(j - 2)*(j + 912)/5
Factor -m**3/8 + m**2/8 + m/4.
-m*(m - 2)*(m + 1)/8
Factor -2*y**2/7 - 454*y/7 - 452/7.
-2*(y + 1)*(y + 226)/7
Determine r, given that -r**3/10 + 2441*r**2/10 - 244*r = 0.
0, 1, 2440
Determine z so that 4*z**4 + 66*z**3 + 92*z**2 + 30*z = 0.
-15, -1, -1/2, 0
Solve 3*d**2 + 1374*d/7 + 585/7 = 0.
-65, -3/7
Solve -20*m**3 + 535*m**2 + 135*m = 0 for m.
-1/4, 0, 27
Find g such that -2*g**5/15 + 10*g**4/3 - 188*g**3/15 - 16*g**2 = 0.
-1, 0, 6, 20
Let -12*j**4 - 52*j**3 + 128*j**2 + 48*j = 0. What is j?
-6, -1/3, 0, 2
Solve 4*x**3/3 - 352*x**2/3 + 756*x = 0 for x.
0, 7, 81
Solve 98*c**5/5 + 168*c**4 - 7286*c**3/5 - 22196*c**2/5 - 10824*c/5 - 1456/5 = 0 for c.
-13, -2, -2/7, 7
Factor p**5/6 - p**4/3 + p**3/6.
p**3*(p - 1)**2/6
Factor -2*b**4/15 - 2*b**3/3 - 14*b**2/15 - 2*b/5.
-2*b*(b + 1)**2*(b + 3)/15
Factor 2*o**3/9 + 106*o**2/9 - 944*o/9 + 1952/9.
2*(o - 4)**2*(o + 61)/9
Factor w**3 - 5*w**2 - 22*w - 16.
(w - 8)*(w + 1)*(w + 2)
What is x in 15*x**5/4 + 9*x**4/2 - 3*x**3 - 9*x**2/2 - 3*x/4 = 0?
-1, -1/5, 0, 1
Factor -w**2/2 - 83*w - 6889/2.
-(w + 83)**2/2
Let -2*n**4 + 12*n**3 + 8*n**2 - 108*n + 90 = 0. Calculate n.
-3, 