11
Factor -2*c**2/5 + 4512*c/5 - 2544768/5.
-2*(c - 1128)**2/5
Factor 5*r**2 + 65*r + 60.
5*(r + 1)*(r + 12)
Factor 2*f**3 + 54*f**2 + 486*f + 1458.
2*(f + 9)**3
Determine k so that -5*k**5 + 385*k**4 - 6800*k**3 - 23980*k**2 - 1600*k + 32000 = 0.
-2, 1, 40
Factor 14*b**3/11 + 80*b**2/11 - 24*b/11.
2*b*(b + 6)*(7*b - 2)/11
Suppose 18*t**5 - 328*t**4 + 1962*t**3 - 3948*t**2 + 784*t = 0. What is t?
0, 2/9, 4, 7
Factor u**2 + 186*u + 368.
(u + 2)*(u + 184)
Factor -35*t**4/6 - 5*t**3/6.
-5*t**3*(7*t + 1)/6
Suppose -3*i**5/10 - 389*i**4/5 - 1031*i**3/10 + 26*i**2 + 258*i/5 = 0. What is i?
-258, -1, 0, 2/3
Suppose -2*q**4 + 1106*q**3 - 205326*q**2 + 13060710*q - 49027896 = 0. Calculate q.
4, 183
Find a such that -5*a**5 - 55*a**4 + 130*a**3 - 10*a**2 - 125*a + 65 = 0.
-13, -1, 1
Solve 2*c**5/3 + 4*c**4 - 2*c**3 - 40*c**2/3 - 8*c = 0.
-6, -1, 0, 2
Find c, given that -4*c**3/7 + 54*c**2 - 9024*c/7 + 4418/7 = 0.
1/2, 47
Factor -5*z**4 + 25*z**3 + 5*z**2 - 85*z - 60.
-5*(z - 4)*(z - 3)*(z + 1)**2
Find v such that -6*v**5/7 + 1146*v**4/7 - 19050*v**3/7 + 62238*v**2/7 + 186240*v/7 + 103800/7 = 0.
-1, 10, 173
What is i in -15*i**2 - 545*i - 180 = 0?
-36, -1/3
Find p such that -118*p**2 - 43*p/4 + 1/2 = 0.
-1/8, 2/59
Determine m, given that -m**2/2 + 8*m - 15/2 = 0.
1, 15
Find f, given that -2*f**3 + 16*f**2 - 14*f = 0.
0, 1, 7
Determine p so that p**2 + 21*p + 54 = 0.
-18, -3
Solve -6*q**5/7 - 57*q**4/7 - 15*q**3 + 15*q**2/7 + 111*q/7 + 6 = 0.
-7, -2, -1, -1/2, 1
Suppose -12*c**5 + 21*c**4 + 27*c**3 - 39*c**2 - 15*c + 18 = 0. What is c?
-1, 3/4, 1, 2
Determine h so that -15*h**5 - 651*h**4 - 2058*h**3 - 660*h**2 + 2424*h + 960 = 0.
-40, -2, -2/5, 1
Factor 5*k**3 + 15*k**2 - 305*k - 315.
5*(k - 7)*(k + 1)*(k + 9)
Suppose -j**4 - 364*j**3 - 33486*j**2 - 65884*j - 32761 = 0. Calculate j.
-181, -1
Find s such that -4*s**2 - 20*s = 0.
-5, 0
Factor -4*d**4 - 140*d**3 + 4*d**2 + 140*d.
-4*d*(d - 1)*(d + 1)*(d + 35)
Let 10*f**4/3 - 1138*f**3/3 + 2114*f**2 - 2802*f - 648 = 0. Calculate f.
-1/5, 3, 108
Factor 3*d**3/2 - 63*d**2/2 + 57*d.
3*d*(d - 19)*(d - 2)/2
Solve o**5 - 8*o**4 + 9*o**3 + 26*o**2 - 52*o + 24 = 0 for o.
-2, 1, 2, 6
Solve -3*t**3 - 21*t**2 - 36*t = 0.
-4, -3, 0
Let 7*h**4/3 - 11*h**3 + 6*h**2 + 8*h/3 = 0. Calculate h.
-2/7, 0, 1, 4
Solve -5*u**4/4 + 12*u**3 + 25*u**2/4 - 12*u - 5 = 0.
-1, -2/5, 1, 10
Find r such that r**2/4 - 75*r/4 + 119 = 0.
7, 68
Find o, given that 2*o**2/9 + 58*o/9 + 200/9 = 0.
-25, -4
Let -2*i**4 - 60*i**3 - 554*i**2 - 1560*i - 1352 = 0. Calculate i.
-13, -2
Solve -735*r**4 + 745*r**3 + 725*r**2 - 745*r + 10 = 0.
-1, 2/147, 1
Factor -k**4/3 + 7*k**3/3 - 6*k**2 + 20*k/3 - 8/3.
-(k - 2)**3*(k - 1)/3
Suppose -105*q**2 + 125*q - 20 = 0. Calculate q.
4/21, 1
What is k in -4*k**2 + 216*k + 1984 = 0?
-8, 62
Let 3*i**5/8 - 3*i**4/8 - 9*i**3/8 + 3*i**2/8 + 3*i/4 = 0. Calculate i.
-1, 0, 1, 2
Suppose -4*a**4 + 148*a**3 - 1432*a**2 + 1008*a + 2592 = 0. Calculate a.
-1, 2, 18
What is a in -a**4/2 + 5*a**3 - 2*a**2 - 21*a - 27/2 = 0?
-1, 3, 9
Factor 2*q**4/11 - 68*q**3/11 - 216*q**2/11 - 20*q - 74/11.
2*(q - 37)*(q + 1)**3/11
What is o in -4*o**3 - 4*o**2/3 + 32*o/3 - 16/3 = 0?
-2, 2/3, 1
Suppose 2*c**3/9 + 104*c**2 + 16224*c + 843648 = 0. Calculate c.
-156
Find z such that 4*z**5 + 108*z**4 + 612*z**3 - 1564*z**2 + 840*z = 0.
-15, -14, 0, 1
Factor 5*n**4 + 770*n**3 + 29645*n**2.
5*n**2*(n + 77)**2
Factor 4*h**5 - 32*h**4.
4*h**4*(h - 8)
Factor -8*m**3 - 38*m**2 + 10*m.
-2*m*(m + 5)*(4*m - 1)
Solve 2*a**5/15 + 226*a**4/15 - 4*a**3/5 - 1372*a**2/15 - 1814*a/15 - 226/5 = 0.
-113, -1, 3
Suppose -i**5 - 30*i**4 - 220*i**3 - 150*i**2 + 1085*i - 684 = 0. What is i?
-19, -9, -4, 1
Solve -2*p**2/11 + 24*p/11 - 40/11 = 0.
2, 10
Suppose -3*h**4/5 - 9*h**3/5 + 33*h**2/5 + 9*h/5 - 6 = 0. Calculate h.
-5, -1, 1, 2
Determine h, given that -25*h**5 + 80*h**4 + 60*h**3 - 190*h**2 - 115*h + 30 = 0.
-1, 1/5, 2, 3
Factor -49*j**3 + 1043*j**2 + 608*j + 612/7.
-(7*j - 153)*(7*j + 2)**2/7
Find p, given that -3*p**5 + 9*p**4 + 3*p**3 - 9*p**2 = 0.
-1, 0, 1, 3
Factor k**2/3 - 488*k/3 + 59536/3.
(k - 244)**2/3
Factor -o**3 + 80*o**2/7 - 124*o/7 - 624/7.
-(o - 6)*(o + 2)*(7*o - 52)/7
Factor -2*s**3 - 28*s**2 - 48*s.
-2*s*(s + 2)*(s + 12)
Suppose 2*m**3/9 + 4*m**2/3 - 240*m = 0. Calculate m.
-36, 0, 30
Factor -2*f**2/7 - 2*f/7.
-2*f*(f + 1)/7
Suppose c**2/4 - 363*c + 131769 = 0. Calculate c.
726
Factor -12*f**2 - 40*f/9.
-4*f*(27*f + 10)/9
Suppose -5*y**4 + 125*y**3 - 1095*y**2 + 3915*y - 4860 = 0. What is y?
3, 4, 9
Solve -4*j**4 + 48*j**3 + 112*j**2 = 0 for j.
-2, 0, 14
Determine s so that 2*s**2/7 + 36*s/7 = 0.
-18, 0
Factor k**2/2 - 104*k + 5408.
(k - 104)**2/2
Solve v**2/2 - 17*v + 33/2 = 0.
1, 33
Factor x**2 + 145*x + 834.
(x + 6)*(x + 139)
Let -7*u**2/6 + 79*u/6 + 43/3 = 0. Calculate u.
-1, 86/7
Suppose -6*y**5 + 21*y**4 + 42*y**3 + 15*y**2 = 0. What is y?
-1, -1/2, 0, 5
Factor 5*o**2 + 150*o + 520.
5*(o + 4)*(o + 26)
Find i such that i**3 + 3*i**2 - 24*i - 80 = 0.
-4, 5
Let -2*p**5 - 116*p**4 - 326*p**3 + 244*p**2 + 1336*p + 880 = 0. What is p?
-55, -2, -1, 2
What is p in 2*p**3/5 + 18*p**2/5 = 0?
-9, 0
What is y in -4*y**4 + 14228*y**3 - 16864920*y**2 + 6656012272*y + 6672891424 = 0?
-1, 1186
Factor 3*f**3 + 2325*f**2 + 449304*f - 451632.
3*(f - 1)*(f + 388)**2
Factor -y**3/7 - y**2 - 12*y/7.
-y*(y + 3)*(y + 4)/7
Solve -5*l**4/4 + 833*l**3/4 + 721*l**2 + 255*l = 0.
-3, -2/5, 0, 170
Factor 2*c**2/7 - 2*c.
2*c*(c - 7)/7
Factor 4*i**2 - 876*i - 880.
4*(i - 220)*(i + 1)
Factor -2*q**2/13 + 1242*q/13 + 288.
-2*(q - 624)*(q + 3)/13
Let 5*g**5 - 35*g**4 - 85*g**3 - 45*g**2 = 0. What is g?
-1, 0, 9
Factor -g**5 - g**4.
-g**4*(g + 1)
What is s in -s**3/2 + 649*s**2/2 - 52160*s - 159414 = 0?
-3, 326
Suppose 5*l**2 + 56*l = 0. What is l?
-56/5, 0
Determine j, given that 4*j**2/7 + 4*j + 40/7 = 0.
-5, -2
Factor -2*g**2/5 - 2*g + 12/5.
-2*(g - 1)*(g + 6)/5
Factor 4*i**2 + 776*i + 37636.
4*(i + 97)**2
Factor 22*y**3 - 160*y**2 + 202*y + 240.
2*(y - 5)*(y - 3)*(11*y + 8)
Let -4*m**3 - 40*m**2 + 4*m + 40 = 0. Calculate m.
-10, -1, 1
Factor -2*o**2 + 1576*o.
-2*o*(o - 788)
Factor 5*b**3 - 65*b**2 + 50*b + 120.
5*(b - 12)*(b - 2)*(b + 1)
Suppose 50*x**5/11 - 40*x**4/11 - 42*x**3/11 + 40*x**2/11 - 8*x/11 = 0. Calculate x.
-1, 0, 2/5, 1
Factor v**3/4 - 2*v**2 - 45*v/4 - 9.
(v - 12)*(v + 1)*(v + 3)/4
What is b in -3*b**4/2 + 162*b**3 - 5661*b**2 + 57498*b + 455877/2 = 0?
-3, 37
Factor -4*p**2 + p + 3.
-(p - 1)*(4*p + 3)
Find i, given that -4*i**5 + 16*i**4/7 + 68*i**3/7 + 24*i**2/7 = 0.
-1, -3/7, 0, 2
Let 19652*i**4/5 + 5780*i**3 - 18972*i**2/5 + 3564*i/5 - 216/5 = 0. Calculate i.
-2, 3/17
Factor -5*q**4 + 125*q**3 - 115*q**2 - 125*q + 120.
-5*(q - 24)*(q - 1)**2*(q + 1)
Solve -c**2/4 - 5*c/4 = 0 for c.
-5, 0
Factor -3*v**3/4 + 9*v**2/2 + 3*v/4 - 9/2.
-3*(v - 6)*(v - 1)*(v + 1)/4
Factor -2*q**3/9 + 90*q**2 - 12150*q + 546750.
-2*(q - 135)**3/9
Factor u**5/7 - u**3 - 6*u**2/7.
u**2*(u - 3)*(u + 1)*(u + 2)/7
Factor -80*t**3 + 12*t**2 + 8*t.
-4*t*(4*t + 1)*(5*t - 2)
What is w in 11*w**4/2 - 2260*w**3 + 309483*w**2 - 14114288*w - 2571353/2 = 0?
-1/11, 137
Factor 3*q**3 - 384*q**2.
3*q**2*(q - 128)
Factor g**2/3 - 26*g/3 - 56/3.
(g - 28)*(g + 2)/3
Determine h so that 2*h**2/7 + 200*h/7 + 56 = 0.
-98, -2
Let -2*z**5/5 - 266*z**4/5 - 256*z**3/5 + 1064*z**2/5 + 1056*z/5 = 0. What is z?
-132, -2, -1, 0, 2
Determine g so that 2*g**3/17 - 22*g**2/17 - 2*g/17 + 22/17 = 0.
-1, 1, 11
Factor -g**4/9 + 4*g**3/3 - 10*g**2/3 - 100*g/9 + 125/3.
-(g - 5)**3*(g + 3)/9
Let -r**4/6 - r**3/6 + 3*r**2/2 + 3*r/2 = 0. What is r?
-3, -1, 0, 3
Factor 2*i**2 - 46*i - 48.
2*(i - 24)*(i + 1)
Suppose -2*m**4/5 + 26*m**3/5 - 122*m**2/5 + 246*m/5 - 36 = 0. Calculate m.
2, 3, 5
What is u in 2*u**2/5 + 54*u + 268/5 = 0?
-134, -1
Let -2*m**4 - 178*m**3 + 180*m**2 = 0. What is m?
-90, 0, 1
Factor 5*y**3 + 2790*y**2 + 5565*y + 2780.
5*(y + 1)**2*(y + 556)
Factor -4*s**2 + 112*s + 240.
-4*(s - 30)*(s + 2)
Determine i, given that -i**2/2 + i/2 + 15 = 0.
-5, 6
Let -3*p**2/2 - 159*p - 8427/2 = 0. Calculate p.
-53
Factor -2*x**3/13 - 56*x**2/13 - 34*x - 52.
-2*(x + 2)*(x + 13)**2/13
Determine z so that 2*z**5 - 8*z**4 - 12*z**3 + 8*z**2 + 10*z = 0.
-1, 0, 1, 5
Find r such that -r**4 - 4*r**3 + 13*r**2 + 40*r - 48 = 0.