 + 7*m**2/5 - 3*m/5.
m*(m - 3)*(m - 1)**2/5
Factor -2*c**5/7 + 6*c**4/7 - 4*c**3/7.
-2*c**3*(c - 2)*(c - 1)/7
Determine i, given that i**3/3 - 8*i**2 + 63*i - 490/3 = 0.
7, 10
Suppose i**3 - 13*i**2 + 23*i - 11 = 0. Calculate i.
1, 11
Determine m so that -2*m**3/3 + 44*m**2/3 - 106*m/3 - 152/3 = 0.
-1, 4, 19
Factor -2*w**4/15 - 4*w**3/15 + 2*w**2/5 + 8*w/15 - 8/15.
-2*(w - 1)**2*(w + 2)**2/15
Let -2*c**2/9 - 52*c + 470/9 = 0. What is c?
-235, 1
Let -22500*l**2 + 6600*l - 484 = 0. Calculate l.
11/75
Solve -5*o**2 + 745*o = 0.
0, 149
Factor 3*y**2/2 + 621*y/2 + 309.
3*(y + 1)*(y + 206)/2
Factor 5*h**3 + 35*h**2 + 80*h + 60.
5*(h + 2)**2*(h + 3)
Factor -4*g**3 - 84*g**2 - 80*g.
-4*g*(g + 1)*(g + 20)
Factor 4*p**4 + 64*p**3 + 336*p**2 + 704*p + 512.
4*(p + 2)**2*(p + 4)*(p + 8)
Let -b**2/3 - 33*b - 98/3 = 0. Calculate b.
-98, -1
Factor 2*g**3/17 + 132*g**2/17.
2*g**2*(g + 66)/17
Factor -b**3 + 5*b**2.
-b**2*(b - 5)
Factor -5*p**3/2 - 85*p**2/2 + 5*p/2 + 85/2.
-5*(p - 1)*(p + 1)*(p + 17)/2
Factor -n**4/4 + 15*n**3/2 - 149*n**2/4 + 30*n.
-n*(n - 24)*(n - 5)*(n - 1)/4
Factor -2*l**4 - 44*l**3 - 274*l**2 - 280*l + 600.
-2*(l - 1)*(l + 3)*(l + 10)**2
Factor -3*y**3/2 - 9*y**2/2 + 9*y + 12.
-3*(y - 2)*(y + 1)*(y + 4)/2
Factor 5*k**3 + 560*k**2 + 20425*k + 240370.
5*(k + 26)*(k + 43)**2
Factor 2*r**2/5 + 20868*r/5 + 54434178/5.
2*(r + 5217)**2/5
Find f such that -f**2/3 + 185*f/3 - 182 = 0.
3, 182
Factor b**4/4 - 3*b**3/2 - 3*b**2/4 + 4*b + 3.
(b - 6)*(b - 2)*(b + 1)**2/4
Suppose 2*m**4/3 - 40*m**3/3 - 98*m**2 - 460*m/3 - 208/3 = 0. Calculate m.
-4, -1, 26
Factor q**2/3 + 22*q/3 - 25.
(q - 3)*(q + 25)/3
Factor c**5/9 + 4*c**4/9 - 91*c**3/9 - 490*c**2/9.
c**2*(c - 10)*(c + 7)**2/9
Let l**2 + 115*l + 3234 = 0. Calculate l.
-66, -49
Factor -2*n**2/3 + 328*n/3 - 13448/3.
-2*(n - 82)**2/3
Solve -2*q**2 - 8624*q/3 - 958 = 0.
-1437, -1/3
Factor 2*h**2 + 4328*h + 4326.
2*(h + 1)*(h + 2163)
Factor -4*b**4 - 16*b**3 - 12*b**2 + 16*b + 16.
-4*(b - 1)*(b + 1)*(b + 2)**2
Let 4*j**5 + 3140*j**4 + 614648*j**3 - 620936*j**2 - 614652*j + 617796 = 0. What is j?
-393, -1, 1
Factor j**2/4 - 1075*j/2 + 1155625/4.
(j - 1075)**2/4
Factor 2*j**4 + 126*j**3 + 1494*j**2 + 2618*j + 1248.
2*(j + 1)**2*(j + 13)*(j + 48)
Solve 9*w**3/2 - 195*w**2/2 + 1147*w/2 - 961/2 = 0.
1, 31/3
Suppose 1058*t**5/7 + 230*t**4 - 1492*t**3/7 - 1032*t**2/7 - 144*t/7 = 0. Calculate t.
-2, -6/23, 0, 1
Find l, given that -l**5/5 - 2*l**4/5 + 6*l**3/5 + 8*l**2/5 - l - 6/5 = 0.
-3, -1, 1, 2
Suppose -3*t**3 - 33*t**2 + 156*t + 420 = 0. What is t?
-14, -2, 5
Factor -3*y**4/2 + 201*y**3/2 - 195*y**2.
-3*y**2*(y - 65)*(y - 2)/2
Determine z, given that -40*z**5/3 + 610*z**4/3 + 475*z**3/3 + 80*z**2/3 = 0.
-1/2, -1/4, 0, 16
Find r, given that 99*r**5/8 + 51*r**4/2 - 2265*r**3/8 - 1257*r**2/4 + 1764*r + 108 = 0.
-4, -2/33, 3
Find k, given that k**5 + 2*k**4 - 3*k**3/4 - 7*k**2/4 - k/2 = 0.
-2, -1/2, 0, 1
Factor 3*z**2 - 42*z.
3*z*(z - 14)
Solve -7*o**4/4 + 93*o**3/4 + 43*o**2/2 - 57*o + 14 = 0 for o.
-2, 2/7, 1, 14
Find o such that -2*o**4/13 - 8*o**3/13 + 180*o**2/13 - 648*o/13 + 54 = 0.
-13, 3
Factor -p**2/2 + 5*p - 12.
-(p - 6)*(p - 4)/2
Determine p so that -4*p**4 + 308*p**3 - 900*p**2 + 892*p - 296 = 0.
1, 74
Solve -2*w**3 + 26*w**2 + 128*w + 136 = 0 for w.
-2, 17
What is n in -15*n**4 - 230*n**3 - 1020*n**2 - 1050*n - 245 = 0?
-7, -1, -1/3
Factor 5*w**3 + 215*w**2 + 2200*w - 2420.
5*(w - 1)*(w + 22)**2
Factor h**5 - 4*h**4 - 2*h**3 + 12*h**2 + 9*h.
h*(h - 3)**2*(h + 1)**2
Factor 4*q**2/9 - 938*q/9 + 52.
2*(q - 234)*(2*q - 1)/9
Let 60*i**4 - 254*i**3 - 358*i**2 + 20*i + 64 = 0. Calculate i.
-1, -1/2, 2/5, 16/3
Factor 3*b**2 + 3972*b + 3969.
3*(b + 1)*(b + 1323)
Let -2*z**2/3 - 8*z/3 - 2 = 0. Calculate z.
-3, -1
What is u in -u**3 - 78*u**2/5 - 43*u/5 + 6 = 0?
-15, -1, 2/5
What is z in 2*z**3/7 + 24*z**2/7 + 22*z/7 = 0?
-11, -1, 0
Suppose t**5/4 + 3*t**4/4 - 2*t**3 - 6*t**2 + 4*t + 12 = 0. Calculate t.
-3, -2, 2
Factor 8*m**4 + 3908*m**3 + 478240*m**2 + 238144*m.
4*m*(m + 244)**2*(2*m + 1)
Factor 22*j**3/3 + 307*j**2/3 + 1064*j/3 - 49/3.
(j + 7)**2*(22*j - 1)/3
Let 3*l**3 + 6435*l**2 + 3453984*l + 3447552 = 0. What is l?
-1072, -1
Solve 25*p**5 - 115*p**4 + 175*p**3 - 85*p**2 - 20*p + 20 = 0.
-2/5, 1, 2
Suppose 5*c**3 - 1640*c**2 + 132825*c + 272250 = 0. What is c?
-2, 165
Let 3*k**3/2 + 9*k**2/2 - 3*k/2 - 9/2 = 0. Calculate k.
-3, -1, 1
Factor -3*t**3 - 21*t**2 + 54*t.
-3*t*(t - 2)*(t + 9)
Factor 2*z**2/15 + 14*z/3 - 1012/15.
2*(z - 11)*(z + 46)/15
Suppose -139445*m**4/3 - 282230*m**3/3 - 48715*m**2 - 3380*m/3 - 20/3 = 0. What is m?
-1, -2/167
Factor b**2/5 + 19*b/5 - 252/5.
(b - 9)*(b + 28)/5
Suppose -2*r**2/3 - 4*r/3 = 0. Calculate r.
-2, 0
Let -c**2/2 + 1535*c - 2356225/2 = 0. What is c?
1535
Find y, given that 23*y**3/2 - 163*y**2/4 - 85*y/4 + 1 = 0.
-1/2, 1/23, 4
Determine t, given that -t**3/5 - t**2 = 0.
-5, 0
Let v**2/3 + 290*v/3 - 584/3 = 0. Calculate v.
-292, 2
Determine a so that -a**4/8 + 7*a**3/4 + 9*a**2 = 0.
-4, 0, 18
Factor w**5 + 5*w**4 + 9*w**3 + 7*w**2 + 2*w.
w*(w + 1)**3*(w + 2)
Solve x**4 - 16*x**3 - 35*x**2 - 18*x = 0.
-1, 0, 18
Factor 5*q**3 - 45*q**2 - 5*q + 45.
5*(q - 9)*(q - 1)*(q + 1)
Factor 3*f**3 + 15*f**2 - 51*f - 63.
3*(f - 3)*(f + 1)*(f + 7)
Determine w so that w**4/5 + 19*w**3/5 + 14*w**2/5 - 76*w/5 - 72/5 = 0.
-18, -2, -1, 2
Determine f so that -2*f**5 + 4*f**4 + 6*f**3 - 8*f**2 - 8*f = 0.
-1, 0, 2
Factor 3*t**2/7 + 3*t/7.
3*t*(t + 1)/7
Let 2*l**2/3 - 8*l/3 - 14 = 0. Calculate l.
-3, 7
Factor -27*x**3/2 - 237*x**2/2 - 255*x.
-3*x*(x + 5)*(9*x + 34)/2
Factor -2*l**3 + l**2/2 + 5*l/2.
-l*(l + 1)*(4*l - 5)/2
Let 11*z**3/7 - 270*z**2 + 81012*z/7 + 14792/7 = 0. What is z?
-2/11, 86
Determine i so that -i**4/6 - i**3/6 + i**2/3 = 0.
-2, 0, 1
Find s such that 2*s**3/5 - 48*s**2/5 - 216*s/5 - 224/5 = 0.
-2, 28
Find a such that 2*a**3/13 - 68*a**2/13 + 10*a - 64/13 = 0.
1, 32
Suppose 147*w**4 + 3486*w**3 + 23439*w**2 + 32868*w + 13068 = 0. Calculate w.
-11, -6/7
Determine x, given that 2*x**2/11 + 14*x/11 + 20/11 = 0.
-5, -2
Solve -2*o**3 - 32*o**2 + 248*o - 352 = 0 for o.
-22, 2, 4
Find h, given that -7*h**4/2 - 75*h**3/2 + 102*h**2 - 26*h = 0.
-13, 0, 2/7, 2
Factor j**2 - 27*j + 50.
(j - 25)*(j - 2)
Factor -w**2/3 + 1776*w - 2365632.
-(w - 2664)**2/3
Suppose -2*y**4/7 + 20*y**3/7 - 66*y**2/7 + 80*y/7 - 32/7 = 0. Calculate y.
1, 4
Factor -2*x**2/5 + 202*x/5 - 40.
-2*(x - 100)*(x - 1)/5
Factor -2*l**2/3 - 388*l - 1158.
-2*(l + 3)*(l + 579)/3
Suppose -2*i**2/9 - 134*i/3 - 4888/9 = 0. What is i?
-188, -13
Find n, given that -2*n**2/7 + 878*n/7 - 876/7 = 0.
1, 438
Factor k**3/4 + 23*k**2/4 + 67*k/2 + 28.
(k + 1)*(k + 8)*(k + 14)/4
Suppose 4*r**4 - 524*r**2 + 3240*r - 5600 = 0. What is r?
-14, 4, 5
Determine c so that c**2/5 + 469*c = 0.
-2345, 0
Find p such that -45*p**4 + 810*p**3 - 2905*p**2 + 3340*p - 820 = 0.
1/3, 2, 41/3
Factor 4*k**2 + 7492*k + 7488.
4*(k + 1)*(k + 1872)
Factor 2*j**2 + 42*j + 216.
2*(j + 9)*(j + 12)
What is p in p**2/2 + 1881*p + 3538161/2 = 0?
-1881
Solve 3*o**3/2 - 3*o**2/2 - 9*o = 0 for o.
-2, 0, 3
Factor -4*k**2 + 204*k + 1120.
-4*(k - 56)*(k + 5)
Let 470*x**4 - 915*x**3 + 420*x**2 + 25*x = 0. Calculate x.
-5/94, 0, 1
Determine q so that 5*q**2 - 5815*q = 0.
0, 1163
Factor -w**3/8 - 9*w**2/8 - 7*w/4.
-w*(w + 2)*(w + 7)/8
Factor 2*m**2/9 + 44*m/3 + 242.
2*(m + 33)**2/9
Determine k, given that -k**3/4 + 105*k**2 - 14700*k + 686000 = 0.
140
Factor 5*u**5 + 5*u**4 - 5*u**3 - 5*u**2.
5*u**2*(u - 1)*(u + 1)**2
Factor -8*j**3/9 - 1070*j**2/9 - 35644*j/9 + 8978/9.
-2*(j + 67)**2*(4*j - 1)/9
Solve -121*r**3/4 + 55*r**2/4 + 57*r/4 + 9/4 = 0 for r.
-3/11, 1
Suppose 2*z**4/19 - 22*z**3/19 + 80*z**2/19 - 96*z/19 = 0. What is z?
0, 3, 4
Find c, given that -c**2/9 - 2036*c/9 - 1036324/9 = 0.
-1018
What is b in 34*b**2/9 - 146*b/9 + 40/9 = 0?
5/17, 4
Factor -14*t**3 + 38*t**2 - 16*t - 8.
-2*(t - 2)*(t - 1)*(7*t + 2)
Factor 3*t**2/7 + 234*t/7 + 4563/7.
3*(t + 39)**2/7
Factor -v**3/5 - 2109*v**2/5.
-v**2*(v + 2109)/5
What is r in r**4 - 14*r**3 + 60*r**2 - 50*r - 125 = 0?
-1, 5
Factor -3*d**5/2 + 18*d**4 - 69*d**3 + 90*d**2 - 75*d/2.
-3*d*(d - 5)**2*(d - 1)**2/2
Factor -2*o**3/5 - 142*o**2/5 + 2*o/5 + 142/5.
-2*(o - 1)*(o + 1)*(o + 71)/5
Let 3*o**5 - 18*o**4 + 12*o**3 + 18