28*m**3 + 236*m**2 + 80*m.
-4*m*(m - 20)*(m + 1)**3
Suppose 2*r**5/9 - 2*r**4/3 - 4*r**3/9 + 4*r**2/3 + 2*r/9 - 2/3 = 0. What is r?
-1, 1, 3
Let -3*s**4/2 - 93*s**3 - 3471*s**2/2 - 7098*s + 39546 = 0. Calculate s.
-26, -13, 3
Determine m, given that 5*m**5 + 25*m**4 + 45*m**3 + 35*m**2 + 10*m = 0.
-2, -1, 0
Let -g**3/3 - 2215*g**2/3 - 1225448*g/3 + 1227664/3 = 0. Calculate g.
-1108, 1
What is d in 128*d**4 + 1824*d**3 - 1470*d**2 - 452*d - 30 = 0?
-15, -1/8, 1
Factor -2*c**4 + 18*c**3 + 44*c**2.
-2*c**2*(c - 11)*(c + 2)
Factor 14*j**4/3 + 10*j**3/3 - 4*j**2/3.
2*j**2*(j + 1)*(7*j - 2)/3
Suppose -4*a**3/13 + 14*a**2/13 + 66*a/13 - 36/13 = 0. Calculate a.
-3, 1/2, 6
What is p in 2*p**4/7 + 102*p**3/7 + 292*p**2/7 + 192*p/7 = 0?
-48, -2, -1, 0
Determine u, given that 5*u**5 + 10*u**4 - 10*u**3 - 20*u**2 + 5*u + 10 = 0.
-2, -1, 1
Factor 2*j**3 + 284*j**2 - 286*j.
2*j*(j - 1)*(j + 143)
Factor 4*i**2/7 - 324*i/7 + 2336/7.
4*(i - 73)*(i - 8)/7
Determine a, given that -38*a**4/7 + 838*a**3/7 - 2932*a**2/7 + 2888*a/7 - 144/7 = 0.
1/19, 2, 18
Factor -2*o**2 - 372*o - 17298.
-2*(o + 93)**2
Factor -153*h**3/7 - 48*h**2/7 + 36*h/7.
-3*h*(3*h + 2)*(17*h - 6)/7
Factor 3*l**3 + 108*l**2 + 1152*l + 3840.
3*(l + 8)**2*(l + 20)
Solve 36*r**4 + 712*r**3 + 452*r**2 - 1504*r + 304 = 0 for r.
-19, -2, 2/9, 1
Factor 2*d**3 + 294*d**2 + 10656*d - 10952.
2*(d - 1)*(d + 74)**2
Factor 5*u**4 - 3750*u**3 + 695585*u**2 + 2827500*u + 2842580.
5*(u - 377)**2*(u + 2)**2
Determine m so that 21*m**5/4 - 1095*m**4/4 + 2277*m**3/4 - 1353*m**2/4 + 75*m/2 = 0.
0, 1/7, 1, 50
Solve -2*q**3/7 - 16*q**2 - 1320*q/7 + 7200/7 = 0.
-30, 4
Factor -4*j**3 + 12*j**2 + 16*j.
-4*j*(j - 4)*(j + 1)
Let -5*o**3 + 470*o**2 - 3915*o + 7650 = 0. Calculate o.
3, 6, 85
Factor f**2/2 - 19*f/2 + 17.
(f - 17)*(f - 2)/2
Find t such that t**2 + 32*t - 33 = 0.
-33, 1
Factor 21*d**3/2 + 585*d**2 + 966*d - 324.
3*(d + 2)*(d + 54)*(7*d - 2)/2
Let -5*k**5 - 295*k**4 + 5*k**3 + 295*k**2 = 0. What is k?
-59, -1, 0, 1
Factor -3*q**5 - 900*q**4 + 3630*q**3 - 5460*q**2 + 3645*q - 912.
-3*(q - 1)**4*(q + 304)
Factor -5*x**2 - 140*x + 465.
-5*(x - 3)*(x + 31)
Factor c**2/3 + 101*c/3 + 160.
(c + 5)*(c + 96)/3
What is x in -147*x**5 + 819*x**4 + 450*x**3 - 444*x**2 + 72*x = 0?
-1, 0, 2/7, 6
Factor g**2 + 55*g - 174.
(g - 3)*(g + 58)
Let 5*g**5 - 120*g**4 + 825*g**3 - 1210*g**2 = 0. What is g?
0, 2, 11
Determine m, given that -m**2/3 - 568*m/3 + 380 = 0.
-570, 2
Factor y**2/7 + 466*y/7 + 54289/7.
(y + 233)**2/7
Solve 9*w**5 + 24*w**4 + 18*w**3 - 3*w = 0.
-1, 0, 1/3
Suppose -4*y**4 - 132*y**3 - 540*y**2 + 18900*y + 162000 = 0. Calculate y.
-15, 12
Determine x, given that 2*x**4/5 + 14*x**3/5 - 6*x**2/5 - 126*x/5 - 108/5 = 0.
-6, -3, -1, 3
Suppose -2*r**4 - 10*r**3 - 14*r**2 - 6*r = 0. What is r?
-3, -1, 0
Solve 3*u**2 + 78*u + 144 = 0 for u.
-24, -2
Solve 2*x**4/3 + 94*x**3/3 + 92*x**2/3 = 0.
-46, -1, 0
Find y, given that y**2 + 779*y - 1562 = 0.
-781, 2
Factor -2*z**3/15 + 64*z**2/15 + 206*z/15 + 28/3.
-2*(z - 35)*(z + 1)*(z + 2)/15
Factor -4*h**2 + 144*h - 1260.
-4*(h - 21)*(h - 15)
Suppose -2*o**3 + 10*o**2 + 114*o + 198 = 0. Calculate o.
-3, 11
Factor -4*k**3/9 - 284*k**2/3 - 4288*k/3 - 50432/9.
-4*(k + 8)**2*(k + 197)/9
Factor 2*z**3/3 - 5354*z**2/3 - 21440*z/3 - 21448/3.
2*(z - 2681)*(z + 2)**2/3
Factor i**3/6 - 2*i**2/3.
i**2*(i - 4)/6
Suppose -5*p**5 - 20*p**4 - 20*p**3 + 10*p**2 + 25*p + 10 = 0. What is p?
-2, -1, 1
Find h such that -h**3 + 30*h**2 - 56*h = 0.
0, 2, 28
Determine p, given that -p**4 + p**3 + 1024*p**2 - 1024*p = 0.
-32, 0, 1, 32
Factor -3*n**4 + 36*n**3 + 177*n**2 + 234*n + 96.
-3*(n - 16)*(n + 1)**2*(n + 2)
What is o in -2*o**4 - 246*o**3 - 960*o**2 - 952*o = 0?
-119, -2, 0
Suppose -2*j**3/23 - 40*j**2/23 + 312*j/23 = 0. Calculate j.
-26, 0, 6
Factor 2*y**2/15 + 7924*y/15 + 7848722/15.
2*(y + 1981)**2/15
Factor -4*o**4 + 100*o**3 + 128*o**2 - 624*o.
-4*o*(o - 26)*(o - 2)*(o + 3)
Determine k, given that 4*k**2 - 72*k = 0.
0, 18
Find h such that h**4/2 + 30*h**3 + 771*h**2/2 - 1952*h + 1536 = 0.
-32, 1, 3
Factor 4*s**5 - 12*s**4 - 4*s**3 + 44*s**2 - 48*s + 16.
4*(s - 2)*(s - 1)**3*(s + 2)
Solve -6*k**3/5 + 156*k**2/5 - 426*k/5 + 276/5 = 0.
1, 2, 23
Suppose 3*q**3 - 9*q**2 - 27*q - 15 = 0. What is q?
-1, 5
Factor 15*l**3/2 - 65*l**2/2 + 10*l.
5*l*(l - 4)*(3*l - 1)/2
What is a in 5*a**4 - 75*a**3 + 370*a**2 - 660*a + 360 = 0?
1, 2, 6
What is s in -4*s**4/3 - 88*s**3/3 - 164*s**2/3 - 80*s/3 = 0?
-20, -1, 0
Solve 50*r**4/7 + 180*r**3 - 5382*r**2/7 + 3688*r/7 - 696/7 = 0.
-29, 2/5, 3
Factor -4*w**3/7 + 1396*w**2/7 - 17300*w - 17500.
-4*(w - 175)**2*(w + 1)/7
Factor 5*v**3 + 60*v**2 - 95*v - 390.
5*(v - 3)*(v + 2)*(v + 13)
Determine n, given that -2*n**5/5 + 11*n**4/5 - 13*n**3/5 + 4*n**2/5 = 0.
0, 1/2, 1, 4
Find j such that 8*j**3/9 + 310*j**2/9 - 5486*j/9 + 1352/9 = 0.
-52, 1/4, 13
Factor -4*y**2 + 160*y - 1536.
-4*(y - 24)*(y - 16)
What is z in 15*z**5 - 20*z**4 - 40*z**3 + 90*z**2 - 55*z + 10 = 0?
-2, 1/3, 1
Suppose -3*w**4/5 + 936*w**3 - 486720*w**2 + 84364800*w = 0. Calculate w.
0, 520
Factor -1568*j**2 - 112*j - 2.
-2*(28*j + 1)**2
Factor -186*g**3 - 11907*g**2 - 190656*g - 3072.
-3*(g + 32)**2*(62*g + 1)
Factor 40*l**4 - 75*l**3 + 30*l**2 + 5*l.
5*l*(l - 1)**2*(8*l + 1)
Solve -98*j**5 - 6356*j**4/3 + 8242*j**3/9 + 18364*j**2/9 - 7360*j/9 + 704/9 = 0 for j.
-22, -1, 4/21, 1
Factor -8*s**2 - 938*s - 234.
-2*(s + 117)*(4*s + 1)
Solve 5*p**4 - 2490*p**3 + 314925*p**2 - 1220180*p = 0 for p.
0, 4, 247
Determine g, given that 3*g**2 + 501*g + 7248 = 0.
-151, -16
Factor 3*d**2 - 126*d - 264.
3*(d - 44)*(d + 2)
Factor 3*d**4/7 - 23*d**3/7 + 37*d**2/7 + 15*d/7.
d*(d - 5)*(d - 3)*(3*d + 1)/7
Solve 231*c**4/8 - 39*c**3/8 - 309*c**2/4 - 105*c/2 - 9 = 0.
-1, -6/11, -2/7, 2
What is f in 5*f**2 - 730*f + 26645 = 0?
73
Suppose -3*b**5/4 + b**4 - b**3/4 = 0. Calculate b.
0, 1/3, 1
What is n in -2*n**2/15 - 8192*n/15 - 8388608/15 = 0?
-2048
Factor -5*k**3/8 - 687*k**2/8 + 52*k + 69/2.
-(k - 1)*(k + 138)*(5*k + 2)/8
Determine s so that -3*s**2 + 18*s + 120 = 0.
-4, 10
What is f in 5*f**2 - 320*f + 4400 = 0?
20, 44
Suppose 3*n**2 + 1956*n - 1959 = 0. Calculate n.
-653, 1
Factor -20*h**2/3 - 1348*h/3 - 536/3.
-4*(h + 67)*(5*h + 2)/3
Let -s**3/7 + 5*s**2/7 + 2*s = 0. What is s?
-2, 0, 7
Find c such that -2*c**5/7 - 4*c**4/7 + 10*c**3/7 + 20*c**2/7 - 8*c/7 - 16/7 = 0.
-2, -1, 1, 2
Factor 3*h**2 - 66*h.
3*h*(h - 22)
Factor -3*w**3/5 - 564*w**2/5 - 26508*w/5.
-3*w*(w + 94)**2/5
Factor 3*j**3 + 2781*j**2 + 859329*j + 88510887.
3*(j + 309)**3
Let a**2 + 95*a + 364 = 0. Calculate a.
-91, -4
Factor -r**4 + 25*r**3 - 157*r**2 + 375*r - 306.
-(r - 17)*(r - 3)**2*(r - 2)
Solve 2*h**2/9 + 68*h/9 + 50 = 0.
-25, -9
Let -5*d**2 - 65*d + 700 = 0. What is d?
-20, 7
Factor m**5/2 + 13*m**4/2 + 30*m**3 + 56*m**2 + 32*m.
m*(m + 1)*(m + 4)**3/2
Factor -4*f**3 + 64*f**2 - 116*f - 520.
-4*(f - 13)*(f - 5)*(f + 2)
Suppose y**4 + 7*y**3/3 - 20*y**2 + 12*y = 0. Calculate y.
-6, 0, 2/3, 3
Determine i so that i**3/4 + 3*i**2/4 - 4*i + 3 = 0.
-6, 1, 2
Solve 135*l**3 + 54*l**2 - 15*l - 6 = 0.
-2/5, -1/3, 1/3
Let -2*f**5/7 + 2*f**4/7 + 24*f**3/7 - 8*f**2 + 32*f/7 = 0. What is f?
-4, 0, 1, 2
Determine v, given that v**4/4 - 2*v**3 - 75*v**2 - 468*v - 864 = 0.
-6, -4, 24
Find c, given that 3*c**2/2 - 475*c/2 + 79 = 0.
1/3, 158
Factor 2*t**3 - 90*t**2 + 174*t - 86.
2*(t - 43)*(t - 1)**2
Find m, given that -3*m**2 + 60*m + 132 = 0.
-2, 22
Let 2*r**5/7 - 22*r**4/7 - 4*r**3/7 + 44*r**2/7 + 2*r/7 - 22/7 = 0. Calculate r.
-1, 1, 11
What is w in -15488*w**5/9 - 1760*w**4/9 + 152*w**3/3 - 2*w**2 = 0?
-1/4, 0, 3/44
Factor -3*b**2/5 + 477*b/5 + 3486/5.
-3*(b - 166)*(b + 7)/5
Solve 36*o**3 - 182*o**2 - 206*o + 12 = 0 for o.
-1, 1/18, 6
Factor -5*l**2 + 35*l + 990.
-5*(l - 18)*(l + 11)
Factor -2*j**2 + 350*j - 1032.
-2*(j - 172)*(j - 3)
Factor -675*w**4 - 665*w**3 + 10*w**2.
-5*w**2*(w + 1)*(135*w - 2)
Solve -4*p**3 + 164*p**2 - 2016*p + 6480 = 0.
5, 18
Determine a, given that -2*a**2 + 2318*a + 2320 = 0.
-1, 1160
Factor 14*n**2/17 - 36*n/17 + 16/17.
2*(n - 2)*(7*n - 4)/17
What is j in j**2 + 2890*j + 2088025 = 0?
-1445
Factor 38*j**5 - 88*j**4 + 62*j**3 - 12*j**2.
2*j**2*(j - 1)**2*(19*j - 6)
Find t, given that -5*t**4 - 75*t**3 + 5*t**2 + 75*t = 0.
-15, -1