)/9
Find m such that 2*m**4/7 - 20*m**3/7 + 8*m**2 - 48*m/7 = 0.
0, 2, 6
Suppose 3*q**2 - 1680*q + 235200 = 0. What is q?
280
Factor -4*z**2 + 720*z - 716.
-4*(z - 179)*(z - 1)
Factor -a**2/6 + 25*a/2 + 200/3.
-(a - 80)*(a + 5)/6
Factor -v**3/3 - 20*v**2 + 61*v/3.
-v*(v - 1)*(v + 61)/3
What is w in 3*w**3/7 - 558*w**2/7 + 3276*w + 41160 = 0?
-10, 98
Factor -4*a**4/7 + 520*a**3/7 - 18388*a**2/7 + 96720*a/7 - 138384/7.
-4*(a - 62)**2*(a - 3)**2/7
What is y in 2*y**4/5 + 4*y**3 + 6*y**2 - 4*y - 32/5 = 0?
-8, -2, -1, 1
Find q, given that -2*q**5 + 16*q**4 + 42*q**3 - 16*q**2 - 40*q = 0.
-2, -1, 0, 1, 10
Solve 4*w**4 - 4*w**3 - 200*w**2 - 192*w = 0 for w.
-6, -1, 0, 8
Suppose 10*m**3/3 - 316*m**2/3 - 808*m/3 - 272/3 = 0. Calculate m.
-2, -2/5, 34
Find t, given that -6*t**4 + 164*t**3 + 720*t**2 - 1188*t + 310 = 0.
-5, 1/3, 1, 31
Suppose -14*r**5/9 - 46*r**4/9 + 394*r**3/9 + 158*r**2/9 - 380*r/9 - 112/9 = 0. Calculate r.
-7, -1, -2/7, 1, 4
Factor 2*k**2/11 + 1918*k/11 - 3844/11.
2*(k - 2)*(k + 961)/11
Solve -2*y**5 + 102*y**4 - 1440*y**3 + 3448*y**2 + 384*y - 4608 = 0 for y.
-1, 2, 24
Let -4*i**4 + 52*i**2 + 48*i = 0. What is i?
-3, -1, 0, 4
Let -y**3/2 + 2*y**2 = 0. Calculate y.
0, 4
Determine v, given that v**2 - 18*v + 32 = 0.
2, 16
Factor -3*b**2/5 - 1536*b/5 - 1533/5.
-3*(b + 1)*(b + 511)/5
Find l, given that 27*l**3/7 - 354*l**2/7 + 363*l/7 - 36/7 = 0.
1/9, 1, 12
Let 39*h**4 + 225*h**3 + 306*h**2 + 120*h = 0. Calculate h.
-4, -1, -10/13, 0
Factor -4*j**3 - 132*j**2 + 424*j - 288.
-4*(j - 2)*(j - 1)*(j + 36)
Factor -5*l**3 + 45*l**2 + 50*l.
-5*l*(l - 10)*(l + 1)
Factor -5*n**2 - 15*n - 10.
-5*(n + 1)*(n + 2)
Find f such that f**3/9 + 488*f**2/9 + 6669*f + 13122 = 0.
-243, -2
Factor -32805*p**3 - 67230*p**2 - 3260*p - 40.
-5*(p + 2)*(81*p + 2)**2
Determine i so that 132*i**4 + 519*i**3 + 486*i**2 - 60*i - 24 = 0.
-2, -2/11, 1/4
What is k in 4*k**3/3 + 2248*k**2/3 - 9040*k/3 + 9056/3 = 0?
-566, 2
Factor 5*i**5 + 45*i**4 + 130*i**3 + 170*i**2 + 105*i + 25.
5*(i + 1)**4*(i + 5)
Find m such that -18*m**2 + 178*m + 220 = 0.
-10/9, 11
Let 175*x**5/6 - 61*x**4/2 - 59*x**3 + 14*x**2/3 + 4*x = 0. Calculate x.
-1, -6/25, 0, 2/7, 2
Determine k so that -361*k**5 - 4446*k**4 - 16178*k**3 - 15612*k**2 - 3789*k - 270 = 0.
-6, -5, -1, -3/19
Factor -27*f**3 - 54*f**2 + 39*f + 42.
-3*(f - 1)*(3*f + 2)*(3*f + 7)
Factor -5*u**4 + 3140*u**3 - 496110*u**2 + 982820*u - 489845.
-5*(u - 313)**2*(u - 1)**2
Find a such that -a**4 + 5*a**3 - 8*a**2 + 4*a = 0.
0, 1, 2
Solve 6*n**3/7 + 8*n**2 - 42*n - 104/7 = 0 for n.
-13, -1/3, 4
Suppose 2*m**4/19 + 26*m**3/19 - 62*m**2/19 - 26*m/19 + 60/19 = 0. Calculate m.
-15, -1, 1, 2
Factor 3*t**2/5 + 348*t/5.
3*t*(t + 116)/5
Find n such that -n**3/7 - 727*n**2/7 - 132495*n/7 - 131769/7 = 0.
-363, -1
Factor 5*q**2 + 290*q + 4205.
5*(q + 29)**2
Let -u**2 - 1683*u + 3370 = 0. Calculate u.
-1685, 2
Factor 35*o**2 - 615*o - 8370.
5*(o + 9)*(7*o - 186)
Let 5*l**4 + 15*l**3 - 5*l**2 - 15*l = 0. Calculate l.
-3, -1, 0, 1
Factor -q**2 + 11*q + 12.
-(q - 12)*(q + 1)
Factor -36*s**2/7 + 748*s/7 + 24.
-4*(s - 21)*(9*s + 2)/7
Factor -p**2 - 120*p + 369.
-(p - 3)*(p + 123)
Let 2*r**5/17 + 40*r**4/17 + 198*r**3/17 - 40*r**2/17 - 200*r/17 = 0. What is r?
-10, -1, 0, 1
Factor 2*l**4/5 - 136*l**3/5 - 864*l**2/5 - 352*l - 1184/5.
2*(l - 74)*(l + 2)**3/5
Determine f so that 2*f**3/7 + 120*f**2/7 + 2400*f/7 + 16000/7 = 0.
-20
Factor -2*v**3/11 - 2*v**2 - 30*v/11 + 54/11.
-2*(v - 1)*(v + 3)*(v + 9)/11
Find i, given that 3*i**3 - 180*i**2 - 1161*i + 144222 = 0.
-26, 43
Solve -3*r**5/4 + 285*r**4/4 + 3*r**3/2 - 285*r**2/2 - 3*r/4 + 285/4 = 0.
-1, 1, 95
Determine m so that -2*m**2/5 - 1304*m/5 + 1306/5 = 0.
-653, 1
Let -2*j**3 + 577*j**2 - 862*j + 287 = 0. Calculate j.
1/2, 1, 287
Determine i, given that -2*i**4/5 - 32*i**3/5 - 46*i**2/5 + 152*i/5 + 168/5 = 0.
-14, -3, -1, 2
Determine c, given that -c**4/2 - 528*c**3 - 209088*c**2 - 36799488*c - 2428766208 = 0.
-264
Determine m, given that m**5/10 + 7*m**4/5 - 2*m**3/5 - 103*m**2/5 + 39*m/2 = 0.
-13, -5, 0, 1, 3
Suppose 4*o**4/11 + 6*o**3 + 334*o**2/11 + 456*o/11 - 320/11 = 0. What is o?
-8, -5, -4, 1/2
Factor 4*b**3 + 16*b**2 - 16*b - 64.
4*(b - 2)*(b + 2)*(b + 4)
Determine c so that -22*c**5 + 928*c**4 - 11542*c**3 + 37180*c**2 - 38152*c + 5776 = 0.
2/11, 2, 19
Determine u, given that 112*u**5 + 2488*u**4 - 2001*u**3 + 527*u**2 - 46*u = 0.
-23, 0, 1/4, 2/7
Factor -j**2/7 - 808*j/7.
-j*(j + 808)/7
Factor 5*o**3 - 5*o**2 - 20*o + 20.
5*(o - 2)*(o - 1)*(o + 2)
Factor -8100*k**5 + 720*k**4 - 16*k**3.
-4*k**3*(45*k - 2)**2
Factor 4*k**2 - 1384*k.
4*k*(k - 346)
Let -l**2 + 2*l = 0. Calculate l.
0, 2
Determine p, given that p**3 - 782*p**2 + 152096*p + 307328 = 0.
-2, 392
Suppose 3*v**4 + 30*v**3 + 81*v**2 + 54*v = 0. What is v?
-6, -3, -1, 0
Factor i**2 - 53*i + 196.
(i - 49)*(i - 4)
Suppose 5*y**5/3 - 5*y**4/3 - 5*y**3 + 5*y**2/3 + 10*y/3 = 0. Calculate y.
-1, 0, 1, 2
Let -g**2/4 + 275*g/4 = 0. What is g?
0, 275
Factor 16*x**3 - 22872*x**2 + 34281*x - 12852.
(x - 1428)*(4*x - 3)**2
Determine v so that 15*v**4 + 12426*v**3 + 29763*v**2 + 22308*v + 4956 = 0.
-826, -1, -2/5
Let 2*i**4 - 14*i**3 - 34*i**2 - 18*i = 0. What is i?
-1, 0, 9
Let x**2/2 + 203*x/2 + 300 = 0. What is x?
-200, -3
Suppose 2*i**3 + 12*i**2 + 6*i - 20 = 0. What is i?
-5, -2, 1
What is d in -5*d**5 + 35*d**4 + 10*d**3 - 70*d**2 - 5*d + 35 = 0?
-1, 1, 7
Find o, given that -2*o**2/9 + 26*o/9 - 80/9 = 0.
5, 8
Factor -3*u**4 + 80*u**3 - 52*u**2.
-u**2*(u - 26)*(3*u - 2)
What is p in 2*p**4/5 - 6*p**3/5 - 22*p**2/5 + 6*p/5 + 4 = 0?
-2, -1, 1, 5
Determine x, given that -x**5 + 47*x**4/3 - 82*x**3 + 156*x**2 - 72*x = 0.
0, 2/3, 3, 6
Suppose 3*l**4 - 1263*l**3 - 2535*l**2 - 1269*l = 0. What is l?
-1, 0, 423
Factor -338*r**4/7 + 5668*r**3/7 - 20018*r**2/7 - 31392*r/7 - 10368/7.
-2*(r - 9)**2*(13*r + 8)**2/7
Factor 2*j**3/3 + 136*j**2/3 + 354*j.
2*j*(j + 9)*(j + 59)/3
What is x in -4*x**3 + 28*x**2 + 72*x = 0?
-2, 0, 9
Factor y**3 + 322*y**2 + 25596*y - 52488.
(y - 2)*(y + 162)**2
Factor -2*p**3/5 - 228*p**2/5 - 222*p/5 + 452/5.
-2*(p - 1)*(p + 2)*(p + 113)/5
Factor 3*m**2 + 207*m + 3480.
3*(m + 29)*(m + 40)
Determine q so that 5*q**4 - 78*q**3 - 307*q**2 - 300*q - 76 = 0.
-2, -1, -2/5, 19
Solve 2*t**2/21 + 302*t/21 + 440/3 = 0.
-140, -11
Factor 14*m**3 + 52434*m**2 + 67396*m + 14976.
2*(m + 1)*(m + 3744)*(7*m + 2)
Solve 12*y**5 + 50*y**4 - 74*y**3 - 128*y**2 - 40*y = 0.
-5, -2/3, -1/2, 0, 2
Suppose q**4/3 + 187*q**3/3 + 306*q**2 + 1460*q/3 + 728/3 = 0. Calculate q.
-182, -2, -1
Let m**3/2 + 5*m**2 - 171*m/2 = 0. What is m?
-19, 0, 9
Solve 8*v**3/3 + 20*v**2/3 - 44*v/3 + 16/3 = 0.
-4, 1/2, 1
Suppose 4*c**5/7 + 4*c**4 + 44*c**3/7 + 20*c**2/7 = 0. Calculate c.
-5, -1, 0
Factor -3*c**5 + 936*c**4 - 72066*c**3 - 146952*c**2 - 73947*c.
-3*c*(c - 157)**2*(c + 1)**2
Suppose -16*u**4 + 148*u**3 - 504*u**2 + 752*u - 416 = 0. Calculate u.
2, 13/4
Factor -2*g**2/11 - 1548*g/11 - 299538/11.
-2*(g + 387)**2/11
Let 20*w**5 - 1628*w**4 + 44388*w**3 - 411156*w**2 + 157464*w = 0. Calculate w.
0, 2/5, 27
Suppose -2*m**3 + 158*m**2 - 156*m = 0. What is m?
0, 1, 78
Suppose -5*h**2 + 4800*h + 14445 = 0. What is h?
-3, 963
Solve 14*n**4/9 - 106*n**3/3 + 1462*n**2/9 + 778*n/3 + 60 = 0 for n.
-1, -2/7, 9, 15
Factor -5*z**5 - 55*z**4 - 175*z**3 - 125*z**2.
-5*z**2*(z + 1)*(z + 5)**2
Let 15*x**5 + 50*x**4 - 25*x**3 - 100*x**2 + 60*x = 0. What is x?
-3, -2, 0, 2/3, 1
Factor 2*x**3/13 - 24*x**2/13 - 2*x/13 + 24/13.
2*(x - 12)*(x - 1)*(x + 1)/13
What is m in 2*m**3/3 - 50*m**2/3 + 58*m - 42 = 0?
1, 3, 21
Solve -w**2/8 + 3085*w/8 - 771/2 = 0.
1, 3084
Factor 3*s**4 + 30*s**3 + 99*s**2 + 132*s + 60.
3*(s + 1)*(s + 2)**2*(s + 5)
Factor -3*w**3 - 57*w**2.
-3*w**2*(w + 19)
Determine j, given that j**3/2 - 17*j**2/2 - 23*j + 76 = 0.
-4, 2, 19
Solve -z**5/3 + 3*z**4 + 16*z**3 + 52*z**2/3 = 0.
-2, 0, 13
Factor -j**3/2 + 96*j**2 - 381*j/2 + 95.
-(j - 190)*(j - 1)**2/2
Factor x**4/3 - 10*x**3/3 + 29*x**2/3 - 32*x/3 + 4.
(x - 6)*(x - 2)*(x - 1)**2/3
Factor 4*z**2/5 - 209*z/5 - 378/5.
(z - 54)*(4*z + 7)/5
Determine j, given that 2*j**2/7 - 2/7 = 0.
-1, 1
Factor f**2/4 - 3*f/2 - 27/4.
(f - 9)*(f + 3)/4
Factor -3*n**3/2 - 9*n**2 + 147*n/2 - 99.
-3*(n - 3)*(n - 2)*(n + 11)/2
Solve -2*g**2/23 - 