3/8 + 39*c**2/2 = 0. Calculate c.
-52, 0
What is y in -12*y**4 + 80*y**3 + 240*y**2 - 960*y + 512 = 0?
-4, 2/3, 2, 8
Factor 2*h**2/7 + 758*h/7.
2*h*(h + 379)/7
Determine l so that 5*l**5/2 + 23*l**4/4 + 4*l**3 + 3*l**2/4 = 0.
-1, -3/10, 0
Factor -10*q**2/11 + 52*q/11 - 10/11.
-2*(q - 5)*(5*q - 1)/11
Let s**2 - 145*s - 294 = 0. What is s?
-2, 147
Solve 3*s**2 + 327*s + 954 = 0 for s.
-106, -3
Factor 4*l**2/15 + 106*l/5.
2*l*(2*l + 159)/15
Factor 5*b**3 + 145*b**2 + 730*b - 880.
5*(b - 1)*(b + 8)*(b + 22)
Solve -2*v**5 - 26*v**4 - 124*v**3 - 268*v**2 - 258*v - 90 = 0 for v.
-5, -3, -1
What is r in 5*r**2/4 + 5375*r/4 = 0?
-1075, 0
Factor -2*z**2 + 110*z - 828.
-2*(z - 46)*(z - 9)
Solve -4*z**5 - 10*z**4 - 4*z**3 = 0 for z.
-2, -1/2, 0
What is g in 900*g**4 - 5460*g**3 + 361*g**2 - 6*g = 0?
0, 1/30, 6
Factor 286*z**2/3 + 32*z + 8/3.
2*(11*z + 2)*(13*z + 2)/3
Factor q**3/5 - 47*q**2/5 + 528*q/5 + 576/5.
(q - 24)**2*(q + 1)/5
Find m such that -2*m**2/7 + 6*m/7 - 4/7 = 0.
1, 2
Factor 3*q**5 + 12*q**4 + 6*q**3 - 12*q**2 - 9*q.
3*q*(q - 1)*(q + 1)**2*(q + 3)
Factor -2*d**2/9 + 2*d/9 + 4/9.
-2*(d - 2)*(d + 1)/9
Factor 3*s**4/4 - 177*s**3/4 + 630*s**2 + 675*s.
3*s*(s - 30)**2*(s + 1)/4
Find a, given that -a**4/4 - 13*a**3/4 - 11*a**2/4 + 133*a/4 + 33 = 0.
-11, -4, -1, 3
Factor -3*s**4 + 15*s**3 + 141*s**2 - 315*s + 162.
-3*(s - 9)*(s - 1)**2*(s + 6)
Let -2*o**4 + 6*o**3 - 4*o**2 = 0. Calculate o.
0, 1, 2
Factor -2*v**3/9 + 680*v**2/9 - 1342*v/3 + 668.
-2*(v - 334)*(v - 3)**2/9
Factor -11*f**4 - 20*f**3 - 7*f**2 + 2*f.
-f*(f + 1)**2*(11*f - 2)
Factor -4*z**3 - 138*z**2 + 288*z - 146.
-2*(z - 1)**2*(2*z + 73)
Solve -4*y**3/5 + 24*y**2/5 - 32*y/5 = 0.
0, 2, 4
Solve -2*w**4/15 + 26*w**3/15 - 16*w**2/3 + 24*w/5 = 0.
0, 2, 9
Suppose -2*x**2/11 - 190*x/11 - 552/11 = 0. Calculate x.
-92, -3
Factor 15*q**2 + 10145*q - 6770.
5*(q + 677)*(3*q - 2)
What is d in 2*d**2/11 - 2*d - 52/11 = 0?
-2, 13
Find y such that -2*y**2/13 - 524*y/13 + 2670/13 = 0.
-267, 5
Factor -t**3/7 + 139*t**2 - 237168*t/7 + 236196/7.
-(t - 486)**2*(t - 1)/7
Determine b so that 8*b**5 + 36*b**4 + 32*b**3 - 24*b**2 - 40*b - 12 = 0.
-3, -1, -1/2, 1
Suppose -o**5/8 + o**4/2 + 5*o**3/8 - 9*o**2/2 + 9*o/2 = 0. What is o?
-3, 0, 2, 3
Suppose 8*i**3/19 + 10354*i**2/19 + 2588*i/19 = 0. What is i?
-1294, -1/4, 0
Determine n, given that -2*n**5/15 + 4*n**4/15 + 8*n**3 - 48*n**2/5 - 576*n/5 = 0.
-6, -4, 0, 6
Factor -3*h**2 + 345*h + 4992.
-3*(h - 128)*(h + 13)
Determine x, given that 2*x**4/9 - 14*x**3/9 - 2*x**2/3 + 38*x/9 + 28/9 = 0.
-1, 2, 7
Let 3*f**5/2 - 35*f**4/4 - 83*f**3/2 - 61*f**2/4 + 37*f - 9 = 0. Calculate f.
-2, 1/3, 1/2, 9
What is y in y**3/4 + 81*y**2/4 - 513*y/4 + 783/4 = 0?
-87, 3
Factor -c**3/9 - 20*c**2/9 + 79*c/9 + 230/9.
-(c - 5)*(c + 2)*(c + 23)/9
Factor -j**2 - 24*j - 63.
-(j + 3)*(j + 21)
Factor -r**3 + 23*r**2 - 43*r + 21.
-(r - 21)*(r - 1)**2
Factor -6174*p**3 + 1764*p**2 - 168*p + 16/3.
-2*(21*p - 2)**3/3
Determine z so that -z**3/2 + 13*z**2/2 - 6*z = 0.
0, 1, 12
Factor n**4 - 17*n**3 + 92*n**2 - 196*n + 144.
(n - 9)*(n - 4)*(n - 2)**2
Solve -d**3/4 - 7*d**2/4 + 17*d/2 + 10 = 0.
-10, -1, 4
Suppose 20*v**5 - 112*v**4 + 132*v**3 + 72*v**2 = 0. Calculate v.
-2/5, 0, 3
Determine k, given that 4*k**4 - 8*k**3 - 4*k**2 + 8*k = 0.
-1, 0, 1, 2
Suppose -6*n**5 + 21*n**4 - 15*n**3 - 15*n**2 + 21*n - 6 = 0. What is n?
-1, 1/2, 1, 2
What is x in -3*x**2 - 12*x + 15 = 0?
-5, 1
Factor -2*n**2/11 + 2018*n/11.
-2*n*(n - 1009)/11
Factor -9*p**2/7 + 1686*p/7 - 561/7.
-3*(p - 187)*(3*p - 1)/7
Factor n**4 + 17*n**3 + 93*n**2 + 175*n + 98.
(n + 1)*(n + 2)*(n + 7)**2
Find i, given that -3*i**5/10 - i**4/5 + 9*i**3/10 + 6*i**2/5 + 2*i/5 = 0.
-1, -2/3, 0, 2
What is f in -5*f**2 + 2450*f - 300125 = 0?
245
Factor 2*a**3/11 + 472*a**2/11 + 2398*a - 15972.
2*(a - 6)*(a + 121)**2/11
Solve 5*r**3 - 255*r**2 = 0 for r.
0, 51
Find k, given that k**3/2 - 27*k**2 = 0.
0, 54
Factor b**2 + 741*b - 1486.
(b - 2)*(b + 743)
Solve 20*g**3 + 42680*g**2 - 42695*g + 10675 = 0.
-2135, 1/2
Factor 3*d**5 + 3*d**4 - 9*d**3 - 3*d**2 + 6*d.
3*d*(d - 1)**2*(d + 1)*(d + 2)
Suppose m**2/7 - m - 18/7 = 0. What is m?
-2, 9
Factor -1250*o**2/7 + 200*o/7 - 8/7.
-2*(25*o - 2)**2/7
Factor 2*k**2/5 + 306*k/5 + 1280.
2*(k + 25)*(k + 128)/5
What is q in 22*q**4 - 326*q**3/3 + 508*q**2/3 - 232*q/3 - 16/3 = 0?
-2/33, 1, 2
Let b**5/7 - 22*b**4/7 + 32*b**3/7 + 178*b**2/7 - 369*b/7 + 180/7 = 0. Calculate b.
-3, 1, 3, 20
Factor 214*w**4/5 - 4*w**3/5.
2*w**3*(107*w - 2)/5
Factor 4*v**2 + 240*v + 464.
4*(v + 2)*(v + 58)
Let n**5/3 - 8*n**4/3 - 13*n**3 + 90*n**2 = 0. What is n?
-6, 0, 5, 9
Let 21*s**4/5 + 144*s**3/5 - 207*s**2/5 - 102*s/5 + 144/5 = 0. What is s?
-8, -6/7, 1
Factor -28*l**4 - 300*l**3 - 696*l**2 + 224*l.
-4*l*(l + 4)*(l + 7)*(7*l - 2)
Determine h so that -3*h**3/5 + 36*h**2/5 - 21*h + 72/5 = 0.
1, 3, 8
Factor 3*t**2/8 + 8661*t/4 + 25004307/8.
3*(t + 2887)**2/8
Solve 5*o**4 + 2060*o**3 = 0 for o.
-412, 0
Find j such that -j**2 + 22*j + 135 = 0.
-5, 27
Let -2*s**4/9 + 52*s**3/9 + 8*s**2 - 720*s = 0. Calculate s.
-10, 0, 18
Factor -2*b**2/7 + 64*b/7 - 62/7.
-2*(b - 31)*(b - 1)/7
Determine h, given that 58*h**2/5 - 122*h/5 + 12/5 = 0.
3/29, 2
Let -t**2/4 + 35*t/4 - 24 = 0. What is t?
3, 32
Let -2*i**5 - 24*i**4 + 158*i**3 - 204*i**2 = 0. What is i?
-17, 0, 2, 3
Factor -3*f**2 + 114*f + 117.
-3*(f - 39)*(f + 1)
Factor 5*o**3 + 95*o**2 + 80*o - 180.
5*(o - 1)*(o + 2)*(o + 18)
Factor 5*o**3 + 20*o**2 - 75*o - 90.
5*(o - 3)*(o + 1)*(o + 6)
Suppose -v**4/10 + 4*v**3/5 + 11*v**2/10 - 9*v/5 = 0. What is v?
-2, 0, 1, 9
Determine q, given that -5*q**2 + 390*q + 2520 = 0.
-6, 84
Find n such that -2*n**4/11 + 2*n**3/11 + 36*n**2/11 - 104*n/11 + 80/11 = 0.
-5, 2
Let 2*r**2/7 + 26*r/7 + 44/7 = 0. Calculate r.
-11, -2
Factor 2*y**3/3 + 42*y**2 + 882*y + 6174.
2*(y + 21)**3/3
Let 5*s**2 + 1185*s = 0. What is s?
-237, 0
Factor 2*h**5 + 354*h**4 + 20884*h**3 + 410404*h**2 - 20886*h - 410758.
2*(h - 1)*(h + 1)*(h + 59)**3
What is o in 5*o**3 - 135*o**2 + 370*o - 240 = 0?
1, 2, 24
Determine f so that 16*f**5/7 - 12*f**4 + 116*f**3/7 + 40*f**2/7 - 144*f/7 + 32/7 = 0.
-1, 1/4, 2
Determine d so that -4*d**2/7 + 60*d/7 + 1800/7 = 0.
-15, 30
Find o such that -5*o**5 + 2365*o**4 - 276035*o**3 - 871105*o**2 + 2560880*o - 1416100 = 0.
-5, 1, 238
Suppose 4*x**3/5 - 616*x**2/5 + 244*x - 608/5 = 0. What is x?
1, 152
Factor 8*d**4 - 36*d**3 + 44*d**2 - 16.
4*(d - 2)**2*(d - 1)*(2*d + 1)
Solve -6*y**2/11 - 456*y/11 - 8664/11 = 0.
-38
Let 5*u**2 - 2275*u - 2280 = 0. Calculate u.
-1, 456
Find s such that 4*s**3 + 168*s**2 + 2160*s + 7776 = 0.
-18, -6
Let -2*i**3/11 - 12*i**2/11 - 10*i/11 + 24/11 = 0. What is i?
-4, -3, 1
Factor -5*h**4 + 45*h**3 + 75*h**2 - 805*h - 1470.
-5*(h - 7)**2*(h + 2)*(h + 3)
What is f in -f**5/12 + 5*f**3/12 - f/3 = 0?
-2, -1, 0, 1, 2
Factor -t**5 + 16*t**4 + t**3 - 16*t**2.
-t**2*(t - 16)*(t - 1)*(t + 1)
Determine i, given that i**2/7 + 20*i/7 - 32 = 0.
-28, 8
What is v in 7*v**4/2 - 194*v**3 - 633*v**2/2 + 171*v = 0?
-2, 0, 3/7, 57
Solve -2*z**2/9 + 280*z/9 - 1862/9 = 0.
7, 133
Suppose 2*w**5 - 480*w**4 + 38400*w**3 - 1024000*w**2 = 0. What is w?
0, 80
Factor -14*g**4 + 8*g**3.
-2*g**3*(7*g - 4)
Factor -38*m**2/3 - 12*m.
-2*m*(19*m + 18)/3
Find d, given that d**2/3 + 1099*d/3 + 366 = 0.
-1098, -1
Let -o**2 - 8*o + 105 = 0. Calculate o.
-15, 7
Find o such that 3*o**5/7 - 33*o**4/7 + 18*o**3 - 204*o**2/7 + 120*o/7 = 0.
0, 2, 5
Factor 3*n**3/2 + 237*n**2 - 966*n + 972.
3*(n - 2)**2*(n + 162)/2
Solve 4*w**2 + 64*w + 112 = 0.
-14, -2
Determine v, given that -4*v**4 + 688*v**3 - 2040*v**2 + 2032*v - 676 = 0.
1, 169
Factor 35*d**4 + 145*d**3 - 155*d**2 - 25*d.
5*d*(d - 1)*(d + 5)*(7*d + 1)
What is j in -4*j**4 + 12*j**3 + 92*j**2 + 132*j + 56 = 0?
-2, -1, 7
Factor -6*u**2/5 + 22*u/5 - 12/5.
-2*(u - 3)*(3*u - 2)/5
Solve -5*h**3 - 412*h**2 + 251*h + 166 = 0.
-83, -2/5, 1
Let -4*u**2 + 3976*u - 7936 = 0. What is u?
2, 992
Factor 3*z**2 - 42*z - 96.
3*(z - 16)*(z + 2)
Let 34*t**3 - 2690*t**2 + 316*t = 0. Calculate t.
0, 2/17, 79
Factor 3*q**2 + 129*q + 666.
3*(q + 6)*(q + 37)
Factor -1250*h**2 - 150*h - 9/2.
-(50*h + 3)**2/2
Factor -2*d**3 - 212*d**2 - 6018*d - 20808.
-2*(d + 4)*(d + 51)**2
Factor -k**2/6 + 17*k/6 + 3.
-(k - 18)*(k + 1)/6
Let 1