48 = 0.
3732
Factor l**3 - 104*l**2 - 107*l + 210.
(l - 105)*(l - 1)*(l + 2)
Factor 2*t**2 + 208*t + 5408.
2*(t + 52)**2
Factor 2*m**4 + 36*m**3 + 160*m**2 - 36*m - 162.
2*(m - 1)*(m + 1)*(m + 9)**2
What is h in 76*h**2/7 - 74*h/7 - 2/7 = 0?
-1/38, 1
Factor -3*m**2/2 - 945*m/2 + 2400.
-3*(m - 5)*(m + 320)/2
Solve z**5/4 + z**4/2 - 21*z**3/4 + 9*z**2/2 = 0.
-6, 0, 1, 3
Let -2*d**2 - 36*d - 34 = 0. What is d?
-17, -1
Factor -k**4/2 + 11*k**3/2 + 10*k**2 - 42*k - 72.
-(k - 12)*(k - 3)*(k + 2)**2/2
Factor -4*l**2 - 204*l + 424.
-4*(l - 2)*(l + 53)
Find a, given that a**3/4 - a**2/4 - 17*a/4 - 15/4 = 0.
-3, -1, 5
Determine m so that 4*m**4 + 68*m**3 + 252*m**2 - 324*m = 0.
-9, 0, 1
Factor -4*g**2/3 + 3536*g/3 - 781456/3.
-4*(g - 442)**2/3
Factor -m**4/6 + 17*m**2/6 - 6*m + 10/3.
-(m - 2)**2*(m - 1)*(m + 5)/6
Factor -2*i**5 + 6*i**4 - 4*i**3.
-2*i**3*(i - 2)*(i - 1)
Factor -2*x**4/9 - 8*x**3/3 - 44*x**2/9 + 56*x/3 - 98/9.
-2*(x - 1)**2*(x + 7)**2/9
Determine o, given that 3*o**2 + 24*o + 45 = 0.
-5, -3
Let 4*x**2 + 240*x + 3600 = 0. What is x?
-30
Factor a**4 + 31*a**3 + 30*a**2.
a**2*(a + 1)*(a + 30)
Solve 4*l**3 + 40*l**2 - 156*l = 0 for l.
-13, 0, 3
Let -10*l**5/17 + 44*l**4/17 + 376*l**3/17 - 2060*l**2/17 + 1650*l/17 = 0. What is l?
-33/5, 0, 1, 5
What is z in 84*z**4/5 - 131757*z**3/5 + 10340334*z**2 - 27668928*z/5 + 3687936/5 = 0?
1/4, 2/7, 784
Suppose -v**2/2 + 2431*v/2 = 0. What is v?
0, 2431
Factor 4*h**2 - 108*h - 112.
4*(h - 28)*(h + 1)
Suppose 22707*d**3/2 - 206451*d**2/2 + 9420*d - 216 = 0. What is d?
4/87, 9
Suppose -175*q**5 + 1760*q**4 - 6400*q**3 + 9810*q**2 - 5265*q + 270 = 0. What is q?
2/35, 1, 3
Factor 3*w**2 - 2613*w + 5214.
3*(w - 869)*(w - 2)
Let 5*t**2 - 3290*t + 3285 = 0. Calculate t.
1, 657
Find x, given that 8*x**5/3 - 14*x**4/3 - 22*x**3 - 34*x**2/3 + 34*x/3 + 8 = 0.
-1, 3/4, 4
Factor 2*m**2 - 62*m + 216.
2*(m - 27)*(m - 4)
Factor 1209*q**4 + 2415*q**3 + 1203*q**2 - 3*q.
3*q*(q + 1)**2*(403*q - 1)
Suppose 10*k**5/9 - 32*k**4/9 + 16*k**3/9 + 28*k**2/9 - 26*k/9 + 4/9 = 0. What is k?
-1, 1/5, 1, 2
Determine x, given that -2*x**5/13 - 212*x**4/13 + 6*x**3/13 + 632*x**2/13 - 424*x/13 = 0.
-106, -2, 0, 1
Let s**4/4 - 3*s**3 + 41*s**2/4 - 15*s/2 = 0. What is s?
0, 1, 5, 6
Factor -4*s**4 - 324*s**3 - 6720*s**2 - 6400*s.
-4*s*(s + 1)*(s + 40)**2
Find c, given that -5*c**4/6 + 155*c**3/2 - 5045*c**2/3 - 5600*c - 3840 = 0.
-2, -1, 48
Let -1210*h**2/7 - 198*h/7 - 8/7 = 0. What is h?
-1/11, -4/55
Factor -2*r**2/5 + 93*r/5 - 27.
-(r - 45)*(2*r - 3)/5
Factor o**4/4 + 9*o**3/4 + 15*o**2/4 - 25*o/4.
o*(o - 1)*(o + 5)**2/4
Solve 3*h**3 - 6*h**2 - 24*h = 0.
-2, 0, 4
Solve -50*m**2/9 - 460*m/9 - 1058/9 = 0 for m.
-23/5
Find t, given that -5*t**3 - 85*t**2 - 315*t + 405 = 0.
-9, 1
Solve -t**3/5 + 44*t**2/5 - 589*t/5 + 2166/5 = 0.
6, 19
Factor 3*u**2 + 900*u + 67500.
3*(u + 150)**2
Factor -2*b**2/5 + 20*b - 250.
-2*(b - 25)**2/5
Factor 10*x**4 + 45*x**3 + 45*x**2 - 5*x - 15.
5*(x + 1)**2*(x + 3)*(2*x - 1)
Let 2*f**4/3 - 488*f**3/3 - 982*f**2/3 - 164*f = 0. Calculate f.
-1, 0, 246
Solve 15*f**3 - 12680*f**2 - 21185*f + 8470 = 0 for f.
-2, 1/3, 847
Factor -w**2 - 5*w + 456.
-(w - 19)*(w + 24)
Solve -b**4/6 + 17*b**3/6 - 13*b**2/3 - 220*b/3 = 0.
-4, 0, 10, 11
Solve -y**3/9 + 23*y**2/9 - 43*y/9 + 7/3 = 0 for y.
1, 21
Factor -2*r**4/13 + 68*r**3/13 - 192*r**2/13 + 188*r/13 - 62/13.
-2*(r - 31)*(r - 1)**3/13
Factor 3*c**3 + 33*c**2 + 105*c + 75.
3*(c + 1)*(c + 5)**2
Find h such that 2*h**3/5 + 146*h**2/5 + 640*h + 18432/5 = 0.
-32, -9
Factor l**2 + 186*l + 185.
(l + 1)*(l + 185)
Suppose -3*x**3/4 + 51*x**2/4 - 60*x + 75 = 0. Calculate x.
2, 5, 10
Factor j**3/4 - 13*j**2/4 + 13*j - 15.
(j - 6)*(j - 5)*(j - 2)/4
Factor 5*a**5 - 20*a**3 + 10*a**2 + 15*a - 10.
5*(a - 1)**3*(a + 1)*(a + 2)
Find b such that -4*b**4 + 24*b**3 + 20*b**2 - 168*b - 160 = 0.
-2, -1, 4, 5
Suppose 3*d**3/4 + 3*d**2/2 - 6*d = 0. What is d?
-4, 0, 2
Factor -3*o**2/2 - 27*o/2 + 33.
-3*(o - 2)*(o + 11)/2
Suppose 3*y**3/2 + 69*y**2 = 0. What is y?
-46, 0
Factor -7*b**4/2 - 5*b**3.
-b**3*(7*b + 10)/2
Find w, given that w**2/2 + 105*w/2 - 107 = 0.
-107, 2
Factor -3*m**2/4 - 51*m/2 + 54.
-3*(m - 2)*(m + 36)/4
Solve 3*o**2 + 42*o + 39 = 0 for o.
-13, -1
Suppose 2*u**5/5 - 4*u**4/5 - 6*u**3/5 = 0. Calculate u.
-1, 0, 3
What is h in -h**5 - 14*h**4 - 38*h**3 + 32*h**2 + 111*h - 90 = 0?
-10, -3, 1
What is n in 2*n**2/3 + 48*n - 150 = 0?
-75, 3
What is l in 2*l**4 + 260*l**3 + 8184*l**2 - 17424*l = 0?
-66, 0, 2
Solve -4*k**3 - 24*k**2 - 32*k = 0.
-4, -2, 0
Find f, given that -3*f**4/5 - 64*f**3/5 - 183*f**2/5 - 54*f/5 = 0.
-18, -3, -1/3, 0
Solve 12*a**3 + 321*a**2 - 777*a + 174 = 0 for a.
-29, 1/4, 2
Suppose -2*j**5/13 + 424*j**4/13 + 426*j**3/13 = 0. What is j?
-1, 0, 213
Factor -w**3/4 - 17*w**2/2 - 80*w - 128.
-(w + 2)*(w + 16)**2/4
Determine d, given that -2*d**3/3 - 40*d**2 + 82*d - 124/3 = 0.
-62, 1
Factor -2*w**3 + 382*w**2 - 758*w + 378.
-2*(w - 189)*(w - 1)**2
Factor -12*s**3 + 216*s**2 - 207*s + 51.
-3*(s - 17)*(2*s - 1)**2
Factor 2*t**2/3 + 1540*t/3 + 296450/3.
2*(t + 385)**2/3
Factor -4*g**5 - 80*g**4 - 148*g**3 - 72*g**2.
-4*g**2*(g + 1)**2*(g + 18)
Determine t, given that -4*t**5 + 76*t**4 + 940*t**3 + 1940*t**2 - 936*t - 2016 = 0.
-6, -3, -1, 1, 28
Factor 2*f**3/3 + 10*f**2 - 22*f + 34/3.
2*(f - 1)**2*(f + 17)/3
Factor 3*w**3 - 39*w**2 + 120*w - 108.
3*(w - 9)*(w - 2)**2
Determine v so that 4*v**2 + 44*v + 40 = 0.
-10, -1
Factor 27*b**4/5 - 2304*b**3/5 + 48378*b**2/5 + 33024*b/5 + 5547/5.
3*(b - 43)**2*(3*b + 1)**2/5
Factor 2*z**3/13 - 8*z**2/13 - 22*z/13 - 12/13.
2*(z - 6)*(z + 1)**2/13
Factor -4*v**2 - 296*v + 1248.
-4*(v - 4)*(v + 78)
Suppose -t**2 + 73*t - 72 = 0. What is t?
1, 72
Solve 3*j**5 - 21*j**3 + 18*j**2 = 0 for j.
-3, 0, 1, 2
Suppose -2*i**2/5 + 16*i/5 + 66/5 = 0. Calculate i.
-3, 11
Factor v**2/2 + 69*v + 136.
(v + 2)*(v + 136)/2
Let 4*l**4/3 - 184*l**3/3 + 2116*l**2/3 = 0. Calculate l.
0, 23
What is h in 9*h**5/2 + 60*h**4 - 293*h**3/2 - 540*h**2 - 458*h - 120 = 0?
-15, -1, -2/3, 4
Suppose 10*g**5 + 3686*g**4 - 20106*g**3 + 33602*g**2 - 21680*g + 4488 = 0. Calculate g.
-374, 2/5, 1, 3
Factor -3*w**2 - 84*w - 225.
-3*(w + 3)*(w + 25)
Factor -l**3/4 - 48*l**2 - 9021*l/4 + 9409/2.
-(l - 2)*(l + 97)**2/4
Factor 2*d**3/3 - 88*d**2 + 168*d + 2080/3.
2*(d - 130)*(d - 4)*(d + 2)/3
Factor -j**3/4 + 139*j**2/4 + 143*j.
-j*(j - 143)*(j + 4)/4
Factor 3*x**2 + 15*x + 12.
3*(x + 1)*(x + 4)
Determine t, given that 5*t**5 - 140*t**4 + 1080*t**3 - 1010*t**2 - 5005*t + 5070 = 0.
-2, 1, 3, 13
Let -2*a**5 - 64*a**4 - 560*a**3 - 1316*a**2 - 1198*a - 380 = 0. Calculate a.
-19, -10, -1
Solve -2*d**3/13 + 20*d**2/13 + 254*d/13 - 272/13 = 0 for d.
-8, 1, 17
Find g such that -g**4 - 13*g**3 - 35*g**2 + 13*g + 36 = 0.
-9, -4, -1, 1
Determine h so that 4*h**2/7 + 6760*h/7 - 6764/7 = 0.
-1691, 1
Factor -4*r**5 - 16*r**4 + 144*r**3 + 488*r**2 + 500*r + 168.
-4*(r - 6)*(r + 1)**3*(r + 7)
Factor y**3 - 12*y**2 - y + 132.
(y - 11)*(y - 4)*(y + 3)
Solve -2*m**2/11 + 10*m/11 = 0.
0, 5
Let -2*s**5/5 - 6*s**4/5 + 2*s**3/5 + 14*s**2/5 - 8/5 = 0. Calculate s.
-2, -1, 1
Find q such that 5*q**5 + 10*q**4 + 5*q**3 = 0.
-1, 0
Factor -t**2 + 49*t - 258.
-(t - 43)*(t - 6)
Factor -3*k**4 + 15*k**3 - 24*k**2 + 12*k.
-3*k*(k - 2)**2*(k - 1)
Find q, given that -22*q**5/15 - 16*q**4/5 + 16*q**3/3 + 4*q**2 - 58*q/15 - 4/5 = 0.
-3, -1, -2/11, 1
Factor -2*x**2 - 366*x - 1080.
-2*(x + 3)*(x + 180)
Suppose 3*f**2/4 - 540*f + 97200 = 0. What is f?
360
Let 192*f**2 + 144*f + 27 = 0. What is f?
-3/8
Let -6*b**5 - 3*b**4 + 147*b**3 - 288*b**2 + 108*b = 0. Calculate b.
-6, 0, 1/2, 2, 3
Let 11*g**2/3 + 46*g/3 + 8/3 = 0. Calculate g.
-4, -2/11
Solve 2*a**3/3 + 254*a**2/3 + 7936*a/3 - 8192/3 = 0.
-64, 1
What is s in -2*s**2/7 - 33932*s/7 - 143922578/7 = 0?
-8483
Factor 12*b**4 - 52*b**3 + 16*b**2.
4*b**2*(b - 4)*(3*b - 1)
Determine a so that -2*a**3/5 - 72*a**2/5 - 864*a/5 - 3456/5 = 0.
-12
Solve -2*z**3 + 16*z**2 - 10*z - 100 = 0.
-2, 5
Factor 2*i**5/7 - 54*i**4/7 + 390*i**3/7 - 338*i**2/7.
2*i**2*(i - 13)**2*(i - 1)/7
Let 2*b**4 - 250*b**3 - 1022*b**2 - 1286*b - 516 = 0. What is b?
-2, -1, 129
Factor 4*b**2 - 12696*b + 10074276.
4*(b - 1587)**2
Factor -4*l**2 - 68*l - 264.
-4*(l + 6)*(l + 11)
Solve -v**5/3 + 2*v**4