 5*q**4 - 70*q**3 + 245*q**2 = 0.
0, 7
Factor 3*c**4 - 42*c**3 + 99*c**2.
3*c**2*(c - 11)*(c - 3)
Factor v**5 + 2*v**4 - v**3 - 2*v**2.
v**2*(v - 1)*(v + 1)*(v + 2)
Suppose -2*s**3 + 7590*s**2 - 9601350*s + 4048569250 = 0. Calculate s.
1265
Suppose -2*b**2/15 + 8*b/3 + 46/5 = 0. What is b?
-3, 23
Solve 3*h**5 + 21*h**4 + 9*h**3 - 69*h**2 - 96*h - 36 = 0.
-6, -1, 2
Let -3*p**4/11 - 14*p**3/11 - 23*p**2/11 - 16*p/11 - 4/11 = 0. What is p?
-2, -1, -2/3
Let 2*d**4 - 58*d**3/3 - 638*d**2/3 + 466*d/3 + 224/3 = 0. What is d?
-7, -1/3, 1, 16
Factor -r**2 - 3*r + 18.
-(r - 3)*(r + 6)
Factor 3*z**2/5 - 6*z/5 - 504/5.
3*(z - 14)*(z + 12)/5
Factor -4*p**3 - 52*p**2 - 140*p + 196.
-4*(p - 1)*(p + 7)**2
Determine a, given that 2*a**5 + 14*a**4 - 6*a**3 - 38*a**2 + 28*a = 0.
-7, -2, 0, 1
Factor -4*n**3 + 272*n**2 + 4592*n.
-4*n*(n - 82)*(n + 14)
Factor p**3/4 + 5*p**2/4 - 78*p - 684.
(p - 19)*(p + 12)**2/4
Let -k**5 - 79*k**4/3 - 194*k**3 - 584*k**2/3 + 800*k - 384 = 0. Calculate k.
-12, -4, 2/3, 1
Let v**2/8 + 379*v/4 + 143641/8 = 0. What is v?
-379
Factor -5*h**3 + 40*h**2 - 25*h - 70.
-5*(h - 7)*(h - 2)*(h + 1)
Solve 2*d**4/7 + 12*d**3/7 + 18*d**2/7 = 0.
-3, 0
Factor c**4 + 16*c**3 + 25*c**2 - 42*c.
c*(c - 1)*(c + 3)*(c + 14)
Let -2*o**4/5 - 774*o**3/5 + 14418*o**2/5 - 13122*o = 0. What is o?
-405, 0, 9
Determine k so that -5*k**4/3 - 100*k**3/3 + 260*k**2 = 0.
-26, 0, 6
Factor a**4 + 8*a**3/5 - 4*a**2/5.
a**2*(a + 2)*(5*a - 2)/5
Factor i**4 - 21*i**3 - 69*i**2 - 71*i - 24.
(i - 24)*(i + 1)**3
What is d in 2*d**3 - 46*d**2 - 100*d = 0?
-2, 0, 25
Suppose p**2/4 - 101*p/2 + 201/4 = 0. What is p?
1, 201
Suppose 4*v**2 + 480*v + 14400 = 0. What is v?
-60
Find s, given that -3*s**4/7 - 57*s**3/7 - 276*s**2/7 - 240*s/7 + 576/7 = 0.
-12, -4, 1
Factor -2*b**4 - 2086*b**3 - 724536*b**2 - 83561760*b + 84288384.
-2*(b - 1)*(b + 348)**3
Find z, given that -2*z**5/7 + 68*z**4/7 - 408*z**3/7 + 828*z**2/7 - 486*z/7 = 0.
0, 1, 3, 27
Find f such that f**2 - 61*f + 118 = 0.
2, 59
Solve -2*g**2 - 168*g = 0.
-84, 0
Find b such that -3*b**3 + 831*b**2 + 834*b = 0.
-1, 0, 278
Factor 2*c**2/9 - 20*c/9 - 832/9.
2*(c - 26)*(c + 16)/9
Solve 4*y**5 - 292*y**4 - 1212*y**3 - 1532*y**2 - 616*y = 0 for y.
-2, -1, 0, 77
Factor -4*y**4/5 + 448*y**3/5 - 13816*y**2/5 + 71232*y/5 - 101124/5.
-4*(y - 53)**2*(y - 3)**2/5
Find t, given that t**4/3 + 3*t**3 + 11*t**2/3 - 7*t = 0.
-7, -3, 0, 1
Determine k, given that 27*k**4/2 + 27*k**3/2 + 9*k**2/2 + k/2 = 0.
-1/3, 0
Solve -5*p**2 - 1840*p + 1845 = 0 for p.
-369, 1
Factor -4*y**2 - 261*y - 65.
-(y + 65)*(4*y + 1)
Factor 3*h**3 + 75*h**2 - 78*h.
3*h*(h - 1)*(h + 26)
Factor 5*w**2 - 4685*w - 14100.
5*(w - 940)*(w + 3)
Determine a so that a**3/3 + 5*a**2/3 - 8*a = 0.
-8, 0, 3
Factor 4*l**3 - 164*l**2 + 664*l + 2016.
4*(l - 36)*(l - 7)*(l + 2)
Find x, given that -4*x**4 - 76*x**3 + 564*x**2 - 900*x = 0.
-25, 0, 3
Determine t, given that -10*t**2 - 206*t + 84 = 0.
-21, 2/5
Let 2*n**4/13 + 18*n**3/13 - 432*n**2/13 + 1512*n/13 = 0. What is n?
-21, 0, 6
Factor -r**4 - 19*r**3 + 20*r**2.
-r**2*(r - 1)*(r + 20)
What is l in -l**5/6 + 5*l**4/3 + 2*l**3 - 5*l**2/3 - 11*l/6 = 0?
-1, 0, 1, 11
Find y, given that -2*y**2/3 + 50*y/3 - 44 = 0.
3, 22
Factor -n**4/2 + 9*n**3/2 - 21*n**2/2 + 19*n/2 - 3.
-(n - 6)*(n - 1)**3/2
Let -3*w**3/5 + 36*w**2/5 - 51*w/5 - 18 = 0. Calculate w.
-1, 3, 10
Find z such that 4*z**2/7 - 660*z/7 + 1944/7 = 0.
3, 162
Let 3*b**2 - 630*b + 33075 = 0. Calculate b.
105
Factor 3*x**3 + 372*x**2.
3*x**2*(x + 124)
Suppose -2*k**4/5 - 4*k**3/5 + 366*k**2/5 - 72*k = 0. What is k?
-15, 0, 1, 12
Find g such that -8*g**5/5 + 74*g**4/5 - 162*g**3/5 + 36*g**2/5 = 0.
0, 1/4, 3, 6
Let -2*v**2/7 + 948*v/7 + 950/7 = 0. Calculate v.
-1, 475
Factor -48*c**2/13 + 434*c/13 - 18/13.
-2*(c - 9)*(24*c - 1)/13
Let -2*i**4/9 - 760*i**3/9 - 1252*i**2/3 - 248*i + 750 = 0. Calculate i.
-375, -3, 1
Solve 2*g**5 + 6098*g**4 + 6205718*g**3 + 2116106510*g**2 + 8390152400*g + 8365427000 = 0 for g.
-1015, -2
What is n in -n**5 - 14*n**4 + 17*n**3 + 30*n**2 = 0?
-15, -1, 0, 2
Let k**3 + 125*k**2 + 368*k + 244 = 0. Calculate k.
-122, -2, -1
Find s such that 4*s**3 - 88*s**2 + 84*s = 0.
0, 1, 21
Solve 11*b**3 - 222*b**2 + 40*b = 0.
0, 2/11, 20
Factor l**4 + 2*l**3 - 12*l**2 + 14*l - 5.
(l - 1)**3*(l + 5)
Factor 3*z**4 - 6*z**2 + 3.
3*(z - 1)**2*(z + 1)**2
Factor -10*m**3/7 - 52*m**2/7 - 10*m - 12/7.
-2*(m + 2)*(m + 3)*(5*m + 1)/7
What is c in -2*c**5/9 - 12*c**4 - 162*c**3 = 0?
-27, 0
Determine t, given that -2*t**2/5 + 1768*t/5 = 0.
0, 884
Solve -a**3/3 + 161*a**2/3 - 106*a = 0 for a.
0, 2, 159
Factor 16*n**3 - 28*n**2 - 56*n - 12.
4*(n - 3)*(n + 1)*(4*n + 1)
Factor 5*p**3 + 305*p**2 - 320*p - 620.
5*(p - 2)*(p + 1)*(p + 62)
Let 2*k**5/9 - 38*k**4/9 - 146*k**3/9 + 254*k**2/9 + 128*k + 88 = 0. What is k?
-3, -2, -1, 3, 22
Let 2*s**4/7 + 12*s**3/7 + 16*s**2/7 - 12*s/7 - 18/7 = 0. What is s?
-3, -1, 1
Find y, given that 16*y**2 + 84*y - 72 = 0.
-6, 3/4
Factor -2*p**2 + 14*p + 16.
-2*(p - 8)*(p + 1)
Suppose 5*c**4 - 50*c**3 - 115*c**2 - 60*c = 0. What is c?
-1, 0, 12
Solve -3*o**4/5 + 24*o**3/5 + 111*o**2/5 - 132*o/5 = 0.
-4, 0, 1, 11
Factor 4*u**3/5 - 2004*u**2/5 + 249996*u/5 + 252004/5.
4*(u - 251)**2*(u + 1)/5
Factor -3*n**3/5 + 801*n**2/5 - 10773*n + 53067/5.
-3*(n - 133)**2*(n - 1)/5
Factor 4*v**5 + 20*v**4 + 12*v**3 - 20*v**2 - 16*v.
4*v*(v - 1)*(v + 1)**2*(v + 4)
Determine x so that -3*x**4 - 15*x**3 - 3*x**2 + 63*x + 54 = 0.
-3, -1, 2
Factor -x**5 + 9*x**4 - 14*x**3 - 24*x**2.
-x**2*(x - 6)*(x - 4)*(x + 1)
Factor -4*o**2/7 + 592*o/7 - 21904/7.
-4*(o - 74)**2/7
Solve 6*z**5 + 2*z**4 - 186*z**3 - 242*z**2 - 60*z = 0 for z.
-5, -1, -1/3, 0, 6
Factor 4*k**2 + 60*k - 216.
4*(k - 3)*(k + 18)
Let -z**5/7 + 6*z**4 + 132*z**3/7 + 134*z**2/7 + 45*z/7 = 0. Calculate z.
-1, 0, 45
Solve -3*v**5 + 39*v**4 + 81*v**3 - 903*v**2 - 1878*v - 936 = 0 for v.
-4, -1, 6, 13
Determine y so that 4*y**5 - 1428*y**4 + 126732*y**3 + 128164*y**2 = 0.
-1, 0, 179
Factor 2*s**3/15 - 88*s**2/5 + 344*s/5 - 1024/15.
2*(s - 128)*(s - 2)**2/15
Factor -11*n**5 + 86*n**4 - 182*n**3 + 140*n**2 - 23*n - 10.
-(n - 5)*(n - 1)**3*(11*n + 2)
Factor -21*p**3 - 108*p**2 - 159*p - 72.
-3*(p + 1)*(p + 3)*(7*p + 8)
Factor -4*p**4/7 + 24*p**3 - 1924*p**2/7 + 480*p - 1600/7.
-4*(p - 20)**2*(p - 1)**2/7
Suppose o**4 - 6*o**3 + 4*o**2 + 6*o - 5 = 0. What is o?
-1, 1, 5
What is v in v**4/3 - 37*v**3/3 + 107*v**2 + 437*v/3 - 722/3 = 0?
-2, 1, 19
Factor 5*j**3 + 270*j**2 - 275*j.
5*j*(j - 1)*(j + 55)
Factor -f**2/8 + 149*f/4 + 299/8.
-(f - 299)*(f + 1)/8
Factor 2*n**2/9 + 32*n/9 - 70/3.
2*(n - 5)*(n + 21)/9
What is m in 12*m**5 + 4425*m**4 + 409581*m**3 + 303600*m**2 - 101568*m = 0?
-184, -1, 0, 1/4
Factor l**2/2 - 13*l - 155/2.
(l - 31)*(l + 5)/2
Suppose -2*d**5/11 + 26*d**4/11 - 102*d**3/11 + 126*d**2/11 = 0. Calculate d.
0, 3, 7
Determine t, given that 4*t**4/5 + 8*t**3 + 92*t**2/5 + 56*t/5 = 0.
-7, -2, -1, 0
Solve 2*j**3/17 + 8*j**2/17 + 6*j/17 = 0 for j.
-3, -1, 0
Factor -35*d**3 + 1200*d**2 + 2180*d - 720.
-5*(d - 36)*(d + 2)*(7*d - 2)
Find h, given that h**2/4 + 12*h + 44 = 0.
-44, -4
Factor -h**5/2 - 41*h**4/2 + 652*h**3 - 5216*h**2 + 10496*h + 16384.
-(h - 8)**3*(h + 1)*(h + 64)/2
Factor 88804*w**2 + 9536*w + 256.
4*(149*w + 8)**2
Suppose q**5/3 + 2*q**4/3 - 16*q**3/3 - 2*q**2/3 + 5*q = 0. What is q?
-5, -1, 0, 1, 3
Suppose d**5 + 19*d**4 + 78*d**3 + 116*d**2 + 56*d = 0. What is d?
-14, -2, -1, 0
Suppose -5*g**4 + 360*g**3 - 6110*g**2 - 13320*g - 6845 = 0. Calculate g.
-1, 37
Solve q**2 + 23*q + 76 = 0.
-19, -4
Suppose 4*t**2 + 8*t - 32 = 0. What is t?
-4, 2
Factor 2*h**3 - 3128*h**2 + 1223048*h.
2*h*(h - 782)**2
Solve -3*w**4/2 + 33*w**3 - 162*w**2 - 729*w + 10935/2 = 0 for w.
-5, 9
Find m such that m**4 + 4*m**3 + m**2 - 6*m = 0.
-3, -2, 0, 1
Determine m, given that 4*m**2 + 324*m + 320 = 0.
-80, -1
Factor 2*s**4/7 + 18*s**3/7 + 50*s**2/7 + 54*s/7 + 20/7.
2*(s + 1)**2*(s + 2)*(s + 5)/7
Factor -2*o**2 - 90*o - 172.
-2*(o + 2)*(o + 43)
Solve -x**2/5 + 9*x + 46/5 = 0.
-1, 46
Factor s**2/3 - 53*s + 2030/3.
(s - 145)*(s - 14)/3
Determine u, given that -u**3 + 4*u**2 - 4*u = 0.
0, 2
Factor 290*l**2 + 1157*l/2 - 3.
(l + 2)*(580*l - 3)/2
Factor -8*b**5 - 52*b**4 - 120*b**3 - 112*b**2 - 32*b.
-4*b*(b + 2)**3*(2*b + 1