5680.
5*(m - 14)**2*(m - 8)*(m + 2)
Determine i, given that i**2 - 112*i + 3136 = 0.
56
Factor -3*n**2/8 + 15*n/2 - 273/8.
-3*(n - 13)*(n - 7)/8
Factor 4*t**2 - 21912*t + 30008484.
4*(t - 2739)**2
Factor 3*i**3 + 3*i**2 - 99*i + 189.
3*(i - 3)**2*(i + 7)
Factor s**2 + 109*s - 110.
(s - 1)*(s + 110)
Factor -2*y**2/15 - 952*y/5.
-2*y*(y + 1428)/15
Find o, given that -3*o**4 + 9*o**3 + 111*o**2 + 99*o - 216 = 0.
-3, 1, 8
Find v, given that -v**5/3 + 63*v**4 + 127*v**3 + 191*v**2/3 = 0.
-1, 0, 191
Let 2*t**3/9 + 38*t**2/9 + 40*t/3 = 0. What is t?
-15, -4, 0
Determine d, given that -14*d**5/3 - 26*d**4/3 + 40*d**3 + 224*d**2/3 - 256*d/3 - 160 = 0.
-2, 2, 15/7
Determine f, given that 2*f**3 - 196*f**2 - 2*f + 196 = 0.
-1, 1, 98
Factor -2*o**2/5 - 246*o/5.
-2*o*(o + 123)/5
Suppose -3*f**3/4 + 3537*f**2/4 - 7065*f/4 + 3531/4 = 0. What is f?
1, 1177
Determine w, given that 2*w**2 - 104*w + 470 = 0.
5, 47
Factor -2*n**4 - 30*n**3 + 32*n**2.
-2*n**2*(n - 1)*(n + 16)
Find k such that 9*k**3/2 - 129*k**2/2 - 495*k - 300 = 0.
-5, -2/3, 20
Solve f**2/7 + f - 228/7 = 0 for f.
-19, 12
Let -2*j**5/5 - 464*j**4/5 - 29986*j**3/5 - 358972*j**2/5 - 1457112*j/5 - 1710864/5 = 0. Calculate j.
-109, -6, -2
Factor -2*f**2/3 + 434*f/3 - 860/3.
-2*(f - 215)*(f - 2)/3
Let l**2 + l - 12 = 0. Calculate l.
-4, 3
Suppose -5*g**4 + 65*g**3 + 630*g**2 + 1360*g + 800 = 0. Calculate g.
-4, -2, -1, 20
Factor -g**5/9 - 4*g**4/9 - g**3/3.
-g**3*(g + 1)*(g + 3)/9
What is s in 2*s**5 + 90*s**4 + 174*s**3 + 86*s**2 = 0?
-43, -1, 0
Determine s, given that -s**4/8 - 3*s**3/8 + s**2/4 + 3*s/2 + 1 = 0.
-2, -1, 2
Factor -3*t**4 - 1569*t**3.
-3*t**3*(t + 523)
Determine x, given that 10985*x**3/2 - 63375*x**2/2 + 121875*x/2 - 78125/2 = 0.
25/13
Suppose -9*i**2/7 - 1317*i/7 - 438/7 = 0. What is i?
-146, -1/3
Find t such that 10*t**3 + 25*t**2 + 5*t - 10 = 0.
-2, -1, 1/2
Factor 4*x**2 - 588*x.
4*x*(x - 147)
Factor 5*b**2 + 1860*b + 3700.
5*(b + 2)*(b + 370)
Let 484*a**3/7 + 1408*a**2/7 + 140*a + 200/7 = 0. What is a?
-2, -5/11
Factor -y**3/4 - 19*y**2/4.
-y**2*(y + 19)/4
Determine s, given that 2*s**4/7 + 10*s**3/7 - 124*s**2/7 - 960*s/7 - 1728/7 = 0.
-6, -4, 9
Find f, given that -5*f**5/6 + 5*f**4/2 + 95*f**3/6 - 105*f**2/2 - 45*f + 180 = 0.
-4, -2, 3
Factor c**3 - 294*c**2 + 21312*c + 43808.
(c - 148)**2*(c + 2)
Factor -c**3/2 + 18*c**2 - 141*c/8 + 35/8.
-(c - 35)*(2*c - 1)**2/8
Determine t, given that t**4/2 + t**3 - 2*t**2 - 4*t = 0.
-2, 0, 2
Factor -t**2/5 - 1282*t/5 - 410881/5.
-(t + 641)**2/5
Suppose 4*t**2 - 48*t + 80 = 0. Calculate t.
2, 10
Let -o**3 + 192*o - 1024 = 0. What is o?
-16, 8
Factor 3*w**3 + 159*w**2.
3*w**2*(w + 53)
Factor -u**3 - 14*u**2 + 143*u + 2028.
-(u - 12)*(u + 13)**2
Solve 3*c**3 - 30*c**2 - 33*c = 0 for c.
-1, 0, 11
Suppose -2*q**3/9 + 4*q**2/3 + 50*q + 836/9 = 0. Calculate q.
-11, -2, 19
Solve 3*l**2 + 1371*l + 2730 = 0.
-455, -2
What is y in -y**3/3 - 187*y**2/3 + 190*y/3 + 376/3 = 0?
-188, -1, 2
Determine q so that -12*q**3 - 15*q**2 + 69*q + 18 = 0.
-3, -1/4, 2
Factor -2*t**3 - 232*t**2 + 710*t - 476.
-2*(t - 2)*(t - 1)*(t + 119)
Factor -5*z**3 - 315*z**2 - 1200*z + 136000.
-5*(z - 17)*(z + 40)**2
Factor -c**3 + 4365*c**2 - 4761123*c - 4765489.
-(c - 2183)**2*(c + 1)
Factor -3*y**3 - 36*y**2 + 27*y + 324.
-3*(y - 3)*(y + 3)*(y + 12)
Factor -15*h**3 + 459*h**2 - 684*h - 348.
-3*(h - 29)*(h - 2)*(5*h + 2)
Factor 11*n**5/5 - 24*n**4/5 + 3*n**3 - 2*n**2/5.
n**2*(n - 1)**2*(11*n - 2)/5
Solve 5*o**5 - 25*o**4 + 30*o**3 + 10*o**2 - 35*o + 15 = 0.
-1, 1, 3
Determine l, given that 4*l**3 + 164*l**2 - 544*l - 704 = 0.
-44, -1, 4
What is c in -75*c**5 - 1360*c**4 + 1320*c**3 + 1550*c**2 - 1245*c - 190 = 0?
-19, -1, -2/15, 1
Factor f**3/9 - 17*f**2/3 - 44*f - 580/9.
(f - 58)*(f + 2)*(f + 5)/9
Factor 2*s**5/5 + 2*s**4 - 108*s**3/5 - 364*s**2/5 - 374*s/5 - 126/5.
2*(s - 7)*(s + 1)**3*(s + 9)/5
Factor 15*s**2 + 834*s + 495.
3*(s + 55)*(5*s + 3)
Suppose 3*u**4 - 39*u**3 - 42*u**2 = 0. Calculate u.
-1, 0, 14
Solve 2*w**3/7 - 40*w**2/7 + 66*w/7 + 108/7 = 0 for w.
-1, 3, 18
Factor 16*f**3 + 12*f**2 - 22*f - 6.
2*(f - 1)*(2*f + 3)*(4*f + 1)
Factor -4*x**4/3 - 760*x**3/3 - 36848*x**2/3 - 70688*x/3.
-4*x*(x + 2)*(x + 94)**2/3
Determine s so that 12*s**5 + 136*s**4 + 332*s**3 + 48*s**2 - 400*s - 128 = 0.
-8, -2, -1/3, 1
Suppose -3*i**4/8 - 3*i**3/2 + 3*i**2/8 + 3*i/2 = 0. What is i?
-4, -1, 0, 1
Let 5*v**4/2 + 275*v**3/2 + 3915*v**2/2 + 3645*v/2 = 0. What is v?
-27, -1, 0
Determine a so that a**3/3 + 17*a**2/3 + 22*a + 24 = 0.
-12, -3, -2
Factor r**3/2 + r**2/2 - 13*r + 12.
(r - 4)*(r - 1)*(r + 6)/2
Let 2*q**5 + 20*q**4 + 72*q**3 + 116*q**2 + 86*q + 24 = 0. What is q?
-4, -3, -1
What is s in 2*s**5 + 13*s**4 + 16*s**3 - 43*s**2 - 96*s - 36 = 0?
-3, -2, -1/2, 2
Factor 3*i**2/7 - 78*i/7 - 465/7.
3*(i - 31)*(i + 5)/7
Solve -z**2/7 - z + 18/7 = 0 for z.
-9, 2
Find y such that -1014*y**5 - 195*y**4 + 1146*y**3 + 183*y**2 - 132*y + 12 = 0.
-1, -1/2, 2/13, 1
Factor 2*d**2/5 - 2804*d/5 - 5616/5.
2*(d - 1404)*(d + 2)/5
Factor 2*z**3/3 - 178*z**2/3 + 276*z + 336.
2*(z - 84)*(z - 6)*(z + 1)/3
Solve -b**3/4 - 73*b**2/4 + 57*b = 0.
-76, 0, 3
Determine g so that -6*g**2/7 + 20*g/21 - 2/21 = 0.
1/9, 1
Factor c**5/4 - 9*c**4 + 97*c**3 - 288*c**2 + 256*c.
c*(c - 16)**2*(c - 2)**2/4
Determine n so that 28*n**4 + 408*n**3 - 196*n**2 - 240*n = 0.
-15, -4/7, 0, 1
Factor 2*k**5/7 - 4*k**4 + 92*k**3/7 - 128*k**2/7 + 82*k/7 - 20/7.
2*(k - 10)*(k - 1)**4/7
Solve 4*b**5/9 + 20*b**4/3 + 52*b**3/3 + 148*b**2/9 + 16*b/3 = 0.
-12, -1, 0
Solve -4*r**2 - 2156*r - 4296 = 0.
-537, -2
Find o, given that o**3/6 - o**2/3 = 0.
0, 2
Solve s**3/4 + 15*s**2/2 + 48*s - 128 = 0.
-16, 2
Find z such that 2*z**3/3 + 10*z**2/3 = 0.
-5, 0
Solve 405*g**3/4 + 603*g**2/4 + 103*g/2 + 2 = 0 for g.
-1, -4/9, -2/45
Solve -k**5/2 - 2*k**4 + 31*k**3 - 78*k**2 + 99*k/2 = 0.
-11, 0, 1, 3
Solve 4*h**4 - 36*h**3 + 80*h**2 - 48*h = 0 for h.
0, 1, 2, 6
Solve -4*r**3/5 + 28*r**2/5 - 8*r = 0.
0, 2, 5
Determine q so that -2*q**2/11 - 18*q/11 + 140/11 = 0.
-14, 5
Let 26*j**5/5 - 58*j**4 - 1828*j**3/5 - 2936*j**2/5 - 1168*j/5 + 256/5 = 0. What is j?
-2, -1, 2/13, 16
Factor -4*s**4 - 20*s**3 + 24*s**2.
-4*s**2*(s - 1)*(s + 6)
Let -6*v**5/5 + 32*v**4/5 - 52*v**2/5 + 6*v/5 + 4 = 0. Calculate v.
-1, -2/3, 1, 5
Factor 3*v**3 + 9*v**2 - 54*v.
3*v*(v - 3)*(v + 6)
Determine t, given that 12*t**5 - 76*t**4 - 320*t**3 + 160*t**2 + 1088*t + 576 = 0.
-2, -2/3, 2, 9
Find z such that 2*z**3/13 + 120*z**2/13 + 1536*z/13 - 8192/13 = 0.
-32, 4
Find u such that -u**2/2 + 29*u/2 + 15 = 0.
-1, 30
Let 4*l**3 + 60*l**2 + 144*l = 0. Calculate l.
-12, -3, 0
Determine y, given that 15*y**5/7 + 51*y**4/7 - 57*y**3/7 - 75*y**2/7 + 6*y + 24/7 = 0.
-4, -1, -2/5, 1
Determine t, given that -5*t**4 + 35*t**2 - 30*t = 0.
-3, 0, 1, 2
Factor -o**3/4 + 5*o**2/2 - 29*o/4 + 5.
-(o - 5)*(o - 4)*(o - 1)/4
What is h in 3*h**3 - 81*h**2 - 3240*h + 89100 = 0?
-33, 30
Solve 500*o**4 + 900*o**3 - 195*o**2 + 10*o = 0 for o.
-2, 0, 1/10
Solve 4*m**5 + 44*m**4 + 92*m**3 - 188*m**2 - 96*m + 144 = 0 for m.
-6, -1, 1
Solve 5*b**5/3 + 29*b**4/3 + 49*b**3/3 + 19*b**2/3 - 2*b = 0.
-3, -2, -1, 0, 1/5
Factor -2*x**2/11 + 8948*x/11 + 8950/11.
-2*(x - 4475)*(x + 1)/11
Determine j, given that j**5 + 14*j**4 - 16*j**3 - 14*j**2 + 15*j = 0.
-15, -1, 0, 1
What is m in 2*m**3/11 + 168*m**2/11 - 174*m/11 - 340/11 = 0?
-85, -1, 2
Factor -4*v**4 + 768*v**3 - 36088*v**2 - 74496*v - 37636.
-4*(v - 97)**2*(v + 1)**2
Let -3*n**2 + 21*n - 30 = 0. What is n?
2, 5
Factor 2*n**3/7 + 296*n**2/7 - 3110*n/7 + 7900/7.
2*(n - 5)**2*(n + 158)/7
What is c in -3*c**3/7 - 54*c**2/7 - 240*c/7 - 288/7 = 0?
-12, -4, -2
Factor -5*d**2 + 190*d - 1805.
-5*(d - 19)**2
Factor -2*r**2 + 30*r + 152.
-2*(r - 19)*(r + 4)
Let 2*s**3/7 - 16*s**2/7 = 0. What is s?
0, 8
Determine v, given that -7*v**5 - 62*v**4 - 75*v**3 + 172*v**2 + 164*v - 192 = 0.
-48/7, -2, 1
Solve -f**4 + 3*f**3 + 25*f**2 - 75*f = 0 for f.
-5, 0, 3, 5
Determine w so that w**2/2 + 736*w + 270848 = 0.
-736
Solve -4*q**2/5 + 276*q/5 - 432 = 0.
9, 60
Factor -5*f**2 - 245*f - 240.
-5*(f + 1)*(f + 48)
Suppose -10*q**4 + 195*q**3/2 + 395*q**2 + 705*q/2 + 65 = 0. What is q?
-2, -1, -1/4, 13
Factor s**2 + 86*s + 1849.
(s + 43)**2
Determine y so that 2*y**3 + 112*y**2 - 232*y = 0