*m - 80.
-4*(m + 1)**3*(m + 20)
Let -81*y**4/5 + 207*y**3/5 + 1562*y**2/5 + 132*y + 72/5 = 0. Calculate y.
-3, -2/9, 6
Suppose -2*i**3/7 - 22*i**2/7 - 48*i/7 = 0. Calculate i.
-8, -3, 0
Factor 2*t**3/7 - 4*t**2/7 - 30*t/7 + 72/7.
2*(t - 3)**2*(t + 4)/7
Factor 20*o**2 - 588*o + 232.
4*(o - 29)*(5*o - 2)
Solve i**4 + 19*i**3 + 80*i**2 - 100*i = 0 for i.
-10, 0, 1
Factor 2*r**3/3 + 78*r**2 + 2394*r + 6498.
2*(r + 3)*(r + 57)**2/3
Factor -2*s**4/15 - 28*s**3/15 - 26*s**2/15.
-2*s**2*(s + 1)*(s + 13)/15
Factor 4*p**4 + 2112*p**3 + 285048*p**2 + 1653696*p + 2452356.
4*(p + 3)**2*(p + 261)**2
Factor c**4/2 - 15*c**3/2 + 13*c**2/2 + 15*c/2 - 7.
(c - 14)*(c - 1)**2*(c + 1)/2
Suppose 2*y**2/19 + 1620*y/19 + 328050/19 = 0. What is y?
-405
Factor -3*h**2 + 3*h.
-3*h*(h - 1)
What is u in -2*u**2/7 - 380*u/7 + 382/7 = 0?
-191, 1
Factor 4*y**4 - 32*y**3 + 44*y**2 + 80*y.
4*y*(y - 5)*(y - 4)*(y + 1)
Factor 3*u**4/7 + 3*u**3/7 - 27*u**2/7 - 27*u/7.
3*u*(u - 3)*(u + 1)*(u + 3)/7
What is h in -5*h**2 - 1770*h - 1765 = 0?
-353, -1
Let -4*u**4 + 2*u**3 + 22*u**2 + 22*u + 6 = 0. Calculate u.
-1, -1/2, 3
Determine t so that -t**2/2 + 61*t/2 + 63 = 0.
-2, 63
Factor -6*x**2 + 45*x + 81.
-3*(x - 9)*(2*x + 3)
Factor -f**4/7 + 29*f**3/7 - 4*f**2.
-f**2*(f - 28)*(f - 1)/7
Factor n**3/8 - 99*n**2/4 + 195*n/2 - 97.
(n - 194)*(n - 2)**2/8
Factor -2*p**2/5 + 22*p/5 + 84/5.
-2*(p - 14)*(p + 3)/5
Factor m**4/7 + 312*m**3/7 + 36504*m**2/7 + 1898208*m/7 + 37015056/7.
(m + 78)**4/7
Factor 2*p**3/13 - 22*p**2/13 + 48*p/13 + 72/13.
2*(p - 6)**2*(p + 1)/13
Factor 2*a**3/17 - 6*a**2/17 - 18*a/17 - 10/17.
2*(a - 5)*(a + 1)**2/17
Factor -2*i**2 - 2*i + 24.
-2*(i - 3)*(i + 4)
Find r such that -10*r**5/3 + 13*r**4/6 + 34*r**3/3 + 17*r**2/6 - 3*r = 0.
-1, 0, 2/5, 9/4
Suppose -2*x**5/5 - 82*x**4/5 - 636*x**3/5 + 144*x**2 = 0. What is x?
-30, -12, 0, 1
Factor 15*h**2 + 1715*h + 570.
5*(h + 114)*(3*h + 1)
Factor 2*w**3/21 + 58*w**2/7 + 496*w/21 - 32.
2*(w - 1)*(w + 4)*(w + 84)/21
Determine w, given that 2*w**2/9 - 4*w + 10 = 0.
3, 15
Solve -2*t**3 + 5*t**2 + 9*t - 18 = 0.
-2, 3/2, 3
Factor 2*u**5 - 304*u**4 + 296*u**3 + 916*u**2 - 1514*u + 604.
2*(u - 151)*(u - 1)**3*(u + 2)
Determine u so that -u**5/5 - 4*u**4/5 + 39*u**3/5 - 58*u**2/5 - 28*u/5 + 72/5 = 0.
-9, -1, 2
Solve -4*v**4 + 8*v**3 + 16*v**2 - 8*v - 12 = 0.
-1, 1, 3
Factor -3*l**2/7 + 321*l/7 + 654/7.
-3*(l - 109)*(l + 2)/7
Let 4*b**2 + 196*b + 720 = 0. Calculate b.
-45, -4
Find s, given that -s**4/7 - 18*s**3/7 + 44*s**2/7 + 72*s/7 - 160/7 = 0.
-20, -2, 2
Find m such that -4*m**2 - 76*m - 192 = 0.
-16, -3
Factor -3*x**3 + 21*x**2 - 42*x + 24.
-3*(x - 4)*(x - 2)*(x - 1)
Suppose 2*t**5/3 + 22*t**4/3 + 28*t**3 + 36*t**2 - 18*t - 54 = 0. Calculate t.
-3, 1
Factor u**3/2 - 24*u + 64.
(u - 4)**2*(u + 8)/2
Determine u, given that -3*u**4/4 + 21*u**3/4 - 9*u**2 = 0.
0, 3, 4
Determine z, given that -5*z**5/3 - 8*z**4/3 + 19*z**3/3 + 14*z**2/3 - 28*z/3 + 8/3 = 0.
-2, 2/5, 1
Find p such that -p**4/4 + 3*p**3/2 - 5*p**2/4 = 0.
0, 1, 5
Suppose -780*s**4 + 33*s**3 + 513*s**2 + 210*s + 24 = 0. What is s?
-2/5, -4/13, -1/4, 1
Solve 4*t**5 - 400*t**4/3 + 524*t**3 + 11040*t**2 - 11200*t/3 = 0.
-7, 0, 1/3, 20
Suppose -s**2/8 + s/8 + 3/2 = 0. What is s?
-3, 4
Factor u**3/6 + 12*u**2 + 455*u/2 + 1225/3.
(u + 2)*(u + 35)**2/6
Factor 320*t**3 - 80*t**2 - 195*t - 45.
5*(t - 1)*(8*t + 3)**2
Determine t so that -6*t**4/7 + 23*t**3/7 + 10*t**2/7 - 23*t/7 - 4/7 = 0.
-1, -1/6, 1, 4
Factor 2*p**2/5 + 16*p/5 + 24/5.
2*(p + 2)*(p + 6)/5
Factor 4*n**5 + 196*n**4 - 824*n**3 + 1256*n**2 - 844*n + 212.
4*(n - 1)**4*(n + 53)
Find f, given that -10*f**5 - 56*f**4 - 66*f**3 - 4*f**2 + 16*f = 0.
-4, -1, 0, 2/5
Solve -9*h**5/8 - 15*h**4/2 - 27*h**3/2 - 6*h**2 = 0.
-4, -2, -2/3, 0
Find x such that -x**3/4 + 5*x**2/4 - x = 0.
0, 1, 4
Factor -3*t**5 + 12*t**4 + 9*t**3 - 102*t**2 + 156*t - 72.
-3*(t - 2)**3*(t - 1)*(t + 3)
Suppose -c**4/6 - 80*c**3/3 + 413*c**2/3 + 80*c/3 - 275/2 = 0. What is c?
-165, -1, 1, 5
Let 10*u**3 - 215*u**2 + 105*u = 0. Calculate u.
0, 1/2, 21
Factor k**4/2 - k**3/2 - 23*k**2/2 - 39*k/2 - 9.
(k - 6)*(k + 1)**2*(k + 3)/2
Solve 3*g**4/5 + 96*g**3/5 - 201*g**2/5 + 102*g/5 = 0.
-34, 0, 1
Let 2*h**5/7 - 30*h**4/7 + 142*h**3/7 - 258*h**2/7 + 144*h/7 = 0. Calculate h.
0, 1, 3, 8
Determine j so that 4*j**5/5 + 32*j**4/5 - 72*j**2 - 324*j/5 + 648/5 = 0.
-6, -3, 1, 3
Let b**3 + 16*b**2 + 69*b + 54 = 0. What is b?
-9, -6, -1
Factor 3*y**5/7 + 78*y**4/7 + 552*y**3/7 - 240*y**2/7 - 1200*y + 12000/7.
3*(y - 2)**2*(y + 10)**3/7
Factor 66*b**3 + 67*b**2 - 34*b - 8.
(2*b - 1)*(3*b + 4)*(11*b + 2)
Suppose 5*s**5 + 15*s**4 - 55*s**3 - 15*s**2 + 50*s = 0. What is s?
-5, -1, 0, 1, 2
Find d, given that -3*d**3/2 - 591*d**2/2 - 28809*d/2 + 29403/2 = 0.
-99, 1
Factor -3*u**4 - 45*u**3 - 42*u**2.
-3*u**2*(u + 1)*(u + 14)
Solve -6*i**4 + 52*i**3 - 102*i**2 - 40*i = 0 for i.
-1/3, 0, 4, 5
Solve -2*w**2/13 + 96*w/13 - 94/13 = 0.
1, 47
Suppose 2*w**2/7 - 374*w/7 + 1104/7 = 0. Calculate w.
3, 184
Suppose -46*p**5/9 + 226*p**4/9 - 164*p**3/9 - 16*p**2/9 = 0. What is p?
-2/23, 0, 1, 4
Find f such that -9*f**5/8 - 21*f**4/4 + 75*f**2/4 + 9*f/8 - 27/2 = 0.
-3, -1, 1, 4/3
Factor -j**4/2 - 7*j**3 - 35*j**2/2 - 11*j.
-j*(j + 1)*(j + 2)*(j + 11)/2
Let 3*h**5 + 75*h**4 + 546*h**3 + 978*h**2 - 549*h - 1053 = 0. Calculate h.
-13, -9, -3, -1, 1
Factor 5*o**2/2 + 13885*o + 38558645/2.
5*(o + 2777)**2/2
Factor f**2 - 102*f + 2601.
(f - 51)**2
Factor -m**3 + 8*m**2 + 9*m.
-m*(m - 9)*(m + 1)
Suppose 4*p**4 - 8*p**3 - 4*p**2 + 8*p = 0. What is p?
-1, 0, 1, 2
Factor -125*o**2 - 1900*o - 7220.
-5*(5*o + 38)**2
Factor -m**4/3 + 13*m**3/3 + 14*m**2/3.
-m**2*(m - 14)*(m + 1)/3
Determine w, given that w**5 - 43*w**4 - 183*w**3 - 233*w**2 - 94*w = 0.
-2, -1, 0, 47
Solve -2*m**2 + 4*m - 2 = 0 for m.
1
Find d such that -3*d**5 - 21*d**4 + 57*d**3 + 21*d**2 - 54*d = 0.
-9, -1, 0, 1, 2
Find a, given that -2*a**3/5 - 1404*a**2/5 + 2814*a/5 - 1408/5 = 0.
-704, 1
Find i, given that -i**4/2 - 48*i**3 - 1728*i**2 - 27648*i - 165888 = 0.
-24
Factor 2*f**2 - 254*f - 780.
2*(f - 130)*(f + 3)
Suppose -5*i**5/4 + 105*i**4/2 - 2405*i**3/4 + 1050*i**2 - 500*i = 0. Calculate i.
0, 1, 20
Determine z, given that -8*z**3 - 1734*z**2 - 3006*z + 860 = 0.
-215, -2, 1/4
Factor 6*g**4 + 25*g**3/2 + g**2.
g**2*(g + 2)*(12*g + 1)/2
Factor 2*d**4/9 - 4*d**2/9 + 2/9.
2*(d - 1)**2*(d + 1)**2/9
Factor 42*m**3 - 129*m**2 + 9*m.
3*m*(m - 3)*(14*m - 1)
Factor -2*n**4 - 68*n**3 + 6*n**2 + 208*n + 136.
-2*(n - 2)*(n + 1)**2*(n + 34)
Factor 3*w**4 + 18*w**3 - 21*w**2.
3*w**2*(w - 1)*(w + 7)
Find o such that -15*o**4 + 505*o**3 + 1235*o**2 + 895*o + 180 = 0.
-1, -1/3, 36
Factor 5*w**4 + 40*w**3 + 75*w**2 - 20*w - 100.
5*(w - 1)*(w + 2)**2*(w + 5)
Determine j, given that -4*j**4 + 148*j**3 - 140*j**2 - 148*j + 144 = 0.
-1, 1, 36
Suppose -5*c**4 + 4080*c**3 - 807480*c**2 - 10134720*c - 30851280 = 0. Calculate c.
-6, 414
Determine s so that s**4/7 - 34*s**3/7 + 93*s**2/7 + 4*s/7 - 124/7 = 0.
-1, 2, 31
Factor 2*s**3 - 558*s**2 + 51894*s - 1608714.
2*(s - 93)**3
Suppose 30*u**3 - 1085*u**2 + 710*u = 0. Calculate u.
0, 2/3, 71/2
Solve -i**4 - 591*i**3 - 87615*i**2 - 87025*i = 0.
-295, -1, 0
Determine q so that 35*q**2 - 145*q + 120 = 0.
8/7, 3
Find m such that -m**3/7 - 236*m**2/7 - 2285*m/7 - 5650/7 = 0.
-226, -5
Factor -12*m**3 - m**2 + 12*m + 1.
-(m - 1)*(m + 1)*(12*m + 1)
Factor 5*c**3 + 195*c**2 - 840*c + 860.
5*(c - 2)**2*(c + 43)
Factor -4*s**3/7 + 40*s**2/7 + 128*s/7 - 1536/7.
-4*(s - 8)**2*(s + 6)/7
Factor -h**3/6 - 247*h**2/3 + 994*h/3 - 332.
-(h - 2)**2*(h + 498)/6
Find b, given that 6*b**5/23 - 22*b**4/23 - 44*b**3/23 + 12*b**2/23 + 38*b/23 + 10/23 = 0.
-1, -1/3, 1, 5
Determine v so that 6*v**5/7 + 9*v**4 + 12*v**3/7 - 177*v**2/7 + 36*v/7 + 60/7 = 0.
-10, -2, -1/2, 1
Factor -2*y**3/7 - 106*y**2/7 - 206*y/7 - 102/7.
-2*(y + 1)**2*(y + 51)/7
Factor 2*n**2/19 + 698*n/19 + 696/19.
2*(n + 1)*(n + 348)/19
What is v in v**5/6 + 17*v**4/6 + 13*v**3/6 - 49*v**2/6 - 7*v/3 + 16/3 = 0?
-16, -2, -1, 1
Find r such that -43*r**4/3 + 299*r**3/3 - 631*r**2/3 + 119*r + 6 = 0.
-2/43, 1, 3
Determine i, given that i**2 + 115*i + 1326 = 0.
-102, -13
Let -4*l**3 - 36*l**2 - 96*l - 80 = 0. Calculate l.
-5, -2
Factor -2*f**2 + 42*f.
-2*f*(f - 21)
Factor 2*