0
Let 2*k**2/17 - 192*k/17 - 594/17 = 0. What is k?
-3, 99
Find z, given that 2*z**2/15 + 488*z/15 + 29768/15 = 0.
-122
Solve -2*q**4/3 + 4*q**3 + 2*q**2/3 - 4*q = 0 for q.
-1, 0, 1, 6
Factor 5*q**2 + 155*q - 160.
5*(q - 1)*(q + 32)
Suppose 22*o**2 - 862*o/13 + 12/13 = 0. Calculate o.
2/143, 3
Suppose i**5 + 12*i**4 + 33*i**3 - 38*i**2 - 132*i - 72 = 0. What is i?
-6, -1, 2
Solve -28*v**2/9 + 2*v/9 + 10/3 = 0.
-1, 15/14
Determine n, given that 2*n**5 + 24*n**4 - 12*n**3 - 128*n**2 + 186*n - 72 = 0.
-12, -3, 1
Solve -2*b**2 + 2404*b/7 + 688/7 = 0.
-2/7, 172
Find c such that c**3 - 538*c**2 + 1073*c - 536 = 0.
1, 536
Solve g**2/6 + 1334*g/3 + 889778/3 = 0.
-1334
Solve 7*u**5 + 72*u**4 + 139*u**3 + 90*u**2 + 16*u = 0.
-8, -1, -2/7, 0
Let o**5/7 - 8*o**4/7 + 4*o**3/7 + 22*o**2/7 - 5*o/7 - 2 = 0. Calculate o.
-1, 1, 2, 7
Find j such that 65*j**4 - 12470*j**3 - 1985*j**2 + 12470*j + 1920 = 0.
-1, -2/13, 1, 192
Suppose 2*q**5/5 - 256*q**4/5 - 2*q**3/5 + 256*q**2/5 = 0. Calculate q.
-1, 0, 1, 128
Factor -2*j**4/9 - 4*j**3/9 + 358*j**2/9 + 40*j - 1800.
-2*(j - 9)**2*(j + 10)**2/9
Factor 2*d**3 + 2*d**2 - 72*d - 72.
2*(d - 6)*(d + 1)*(d + 6)
Factor 24*x**4 + 248*x**3 + 2522*x**2/3 + 3100*x/3 + 1250/3.
2*(x + 1)**2*(6*x + 25)**2/3
Factor 2*q**3/3 - 278*q**2/3 + 3920*q - 45600.
2*(q - 60)**2*(q - 19)/3
Suppose -5*v**2 + 17950*v = 0. What is v?
0, 3590
Factor 30*j**2/7 + 4*j - 2/7.
2*(j + 1)*(15*j - 1)/7
Suppose 5*a**5/2 + 9*a**4 + 11*a**3 + 4*a**2 - 3*a/2 - 1 = 0. Calculate a.
-1, 2/5
Factor 5*x**5 + 20*x**4 - 30*x**3 - 80*x**2 + 145*x - 60.
5*(x - 1)**3*(x + 3)*(x + 4)
Factor 4*x**3 - 44*x**2 + 40*x.
4*x*(x - 10)*(x - 1)
Suppose 2*z**2/9 - 244*z/9 = 0. Calculate z.
0, 122
Factor -n**2/3 + n/3 + 2/3.
-(n - 2)*(n + 1)/3
Solve 10*m**3/11 - 74*m**2/11 + 28*m/11 = 0.
0, 2/5, 7
Factor -4*i**2 + 316*i + 320.
-4*(i - 80)*(i + 1)
What is h in -7*h**2 + 109*h/3 - 20/3 = 0?
4/21, 5
Factor -2*r**2/3 + 10*r + 32/3.
-2*(r - 16)*(r + 1)/3
Solve l**2/8 + 40*l + 3200 = 0.
-160
Suppose l**4/5 - 5*l**3 + 216*l**2/5 - 704*l/5 + 512/5 = 0. What is l?
1, 8
Let 8*r**4 + 2*r**3 - 56*r**2 - 62*r - 12 = 0. What is r?
-2, -1, -1/4, 3
What is h in h**2/4 + 27*h/2 + 729/4 = 0?
-27
Let 3*d**3/4 + 117*d**2/2 + 681*d/4 + 225/2 = 0. Calculate d.
-75, -2, -1
What is d in -12*d**5 + 39*d**4 + 147*d**3 - 651*d**2 + 585*d - 108 = 0?
-4, 1/4, 1, 3
Factor 2*b**4 + 12*b**3 - 14*b**2.
2*b**2*(b - 1)*(b + 7)
Factor -6561*c**4/5 - 2916*c**3/5 - 486*c**2/5 - 36*c/5 - 1/5.
-(9*c + 1)**4/5
Factor 5*j**3/3 + 14*j**2 - 28*j - 40/3.
(j - 2)*(j + 10)*(5*j + 2)/3
Factor 5*y**3/8 + 41*y**2/8 + 17*y/2 + 3/2.
(y + 2)*(y + 6)*(5*y + 1)/8
Determine l so that 6*l**2/11 - 882*l/11 = 0.
0, 147
Determine y so that -3*y**3/5 - 267*y**2/5 - 105*y - 261/5 = 0.
-87, -1
Factor -5*h**4 - 40*h**3 + 5*h**2 + 40*h.
-5*h*(h - 1)*(h + 1)*(h + 8)
Factor -9*q**3/2 + 12*q**2 - 15*q/2.
-3*q*(q - 1)*(3*q - 5)/2
Factor -q**3/3 + 11*q**2/3 - 8*q.
-q*(q - 8)*(q - 3)/3
Solve y**3/4 + y**2/4 - y/2 = 0 for y.
-2, 0, 1
Determine r so that 5*r**2 + 36720*r + 67417920 = 0.
-3672
Let 107*s**2 - 961*s - 18 = 0. Calculate s.
-2/107, 9
Factor 507*n**3 + 4836*n**2 - 2313*n + 270.
3*(n + 10)*(13*n - 3)**2
Factor -2*p**3/15 + 154*p**2/15 - 1382*p/15 + 938/5.
-2*(p - 67)*(p - 7)*(p - 3)/15
Factor 5*h**3 + 400*h**2 + 765*h - 1170.
5*(h - 1)*(h + 3)*(h + 78)
Determine o so that o**5 - 3*o**3 - 2*o**2 = 0.
-1, 0, 2
Factor 3022*w**2/15 - 2*w/5.
2*w*(1511*w - 3)/15
Solve 2*z**5/17 + 24*z**4/17 + 72*z**3/17 + 64*z**2/17 = 0 for z.
-8, -2, 0
Find f such that -68*f**4 - 62*f**3 + 74*f**2 + 62*f - 6 = 0.
-1, 3/34, 1
Determine z so that 3*z**3 + 3*z**2 - 36*z = 0.
-4, 0, 3
Solve 2*z**5/19 + 2*z**4/19 - 18*z**3/19 - 18*z**2/19 = 0.
-3, -1, 0, 3
Let 2*z**4/15 - 874*z**3/15 + 868*z**2/15 + 1744*z/15 = 0. Calculate z.
-1, 0, 2, 436
Find s, given that -s**3/6 - s**2/6 + s = 0.
-3, 0, 2
Factor -3*r**2/2 - 351*r/2 + 357.
-3*(r - 2)*(r + 119)/2
Let -7*b**5 - 47*b**4 + 378*b**3 - 748*b**2 + 520*b - 96 = 0. Calculate b.
-12, 2/7, 1, 2
Factor 2*f**4/5 + 24*f**3/5 - 128*f**2/5.
2*f**2*(f - 4)*(f + 16)/5
Determine v, given that -v**2/3 + 2*v - 8/3 = 0.
2, 4
Solve -28*i**3 + 192*i**2 - 144*i = 0.
0, 6/7, 6
Factor -2*o**3/23 + 238*o**2/23 - 236*o/23.
-2*o*(o - 118)*(o - 1)/23
Factor 5*m**5 + 40*m**4 - 2340*m**3.
5*m**3*(m - 18)*(m + 26)
Suppose -4*n**4 + 3744*n**3 - 876096*n**2 = 0. What is n?
0, 468
What is g in 12*g**4/7 + 248*g**3/7 + 132*g**2/7 - 552*g/7 + 160/7 = 0?
-20, -2, 1/3, 1
Solve -5*n**3 - 25*n**2 + 30*n = 0 for n.
-6, 0, 1
Factor -2*t**3/13 + 40*t**2/13 + 86*t/13 + 44/13.
-2*(t - 22)*(t + 1)**2/13
Factor 2*o**5 - 26*o**4 - 60*o**3.
2*o**3*(o - 15)*(o + 2)
Factor 3*m**3/7 - 9*m**2/7 + 9*m/7 - 3/7.
3*(m - 1)**3/7
Solve 2*i**3/13 - 88*i**2/13 + 968*i/13 = 0 for i.
0, 22
Factor -t**3 + 21*t**2 - 72*t + 68.
-(t - 17)*(t - 2)**2
What is f in f**2/2 + 7*f/2 - 9 = 0?
-9, 2
Factor -4*m**4 - 48*m**3 - 208*m**2 - 384*m - 256.
-4*(m + 2)**2*(m + 4)**2
Factor a**2/9 - 13*a/9 - 10/3.
(a - 15)*(a + 2)/9
Factor 15*h**3 + 65*h**2 - 160*h - 60.
5*(h - 2)*(h + 6)*(3*h + 1)
Find a such that 42*a**4 + 1256*a**3 + 1014*a**2 - 2544*a + 232 = 0.
-29, -2, 2/21, 1
What is f in 2*f**2/7 + 38*f/7 - 540 = 0?
-54, 35
Solve 60*g**4 + 1676*g**3 - 160*g**2 - 1328*g + 448 = 0.
-28, -1, 2/5, 2/3
Factor -5*p**4 - 2340*p**3 - 273780*p**2.
-5*p**2*(p + 234)**2
Determine x so that -2*x**2/9 + 46*x/9 - 44/9 = 0.
1, 22
Find i such that 3*i**2 + 303*i + 1164 = 0.
-97, -4
Find o, given that -58*o**4/7 + 178*o**3/7 - 186*o**2/7 + 10*o - 4/7 = 0.
2/29, 1
Suppose -4*o**2/3 - 280*o/3 + 500 = 0. Calculate o.
-75, 5
Factor 4*a**4/3 + 28*a**3/3 - 88*a**2 + 592*a/3 - 416/3.
4*(a - 2)**3*(a + 13)/3
Solve -i**5/2 + 4*i**4 + 87*i**3 - 704*i**2 - 1573*i/2 = 0 for i.
-13, -1, 0, 11
Solve 3*p**4 + 120*p**3 = 0.
-40, 0
Factor 5*q**4 - 45*q**3 + 380*q - 480.
5*(q - 8)*(q - 2)**2*(q + 3)
What is s in -4*s**2/7 - 16*s = 0?
-28, 0
Determine g, given that g**3 - 4*g**2 + g + 6 = 0.
-1, 2, 3
Factor -5*u**2/3 - 4*u/3 + 4.
-(u + 2)*(5*u - 6)/3
Factor 16*i**3 + 1244*i**2 - 2916*i - 2880.
4*(i - 3)*(i + 80)*(4*i + 3)
Solve 4*u**2 - 1604*u + 1600 = 0 for u.
1, 400
Factor -f**3/10 + 7*f**2/10 - 2*f/5 - 6/5.
-(f - 6)*(f - 2)*(f + 1)/10
Suppose 256*z**4 + 1984*z**3 - 2812*z**2 + 608*z - 36 = 0. Calculate z.
-9, 1/8, 1
Factor z**2 - 2*z - 15.
(z - 5)*(z + 3)
Solve -t**4 + 6*t**3 - 5*t**2 - 12*t = 0.
-1, 0, 3, 4
Factor -2*k**2 + 260*k.
-2*k*(k - 130)
Suppose 49*q**5 - 2919*q**4 + 7242*q**3 - 3428*q**2 + 456*q = 0. Calculate q.
0, 2/7, 2, 57
Let 4*i**2 - 1304*i + 106276 = 0. What is i?
163
Determine v so that -40*v**5 - 116*v**4 + 20*v**3 + 184*v**2 - 16*v - 32 = 0.
-2, -2/5, 1/2, 1
Factor 2*t**3/5 - 2*t**2 - 212*t/5 - 112.
2*(t - 14)*(t + 4)*(t + 5)/5
Factor -t**4/3 + 3*t**3 + t**2/3 - 3*t.
-t*(t - 9)*(t - 1)*(t + 1)/3
Factor -2*n**2/9 - 1442*n/9 + 1444/9.
-2*(n - 1)*(n + 722)/9
Let l**3 - 22*l**2 - 100*l - 104 = 0. Calculate l.
-2, 26
Factor -2*n**5/13 - 262*n**4/13 - 10358*n**3/13 - 118570*n**2/13 - 533600*n/13 - 841000/13.
-2*(n + 5)**3*(n + 58)**2/13
Find d such that -4*d**4 + 16*d**2 = 0.
-2, 0, 2
What is g in -4*g**2 + 2912*g - 529984 = 0?
364
Factor -5*c**4 - 1215*c**3 - 75600*c**2 - 216000*c.
-5*c*(c + 3)*(c + 120)**2
Factor -2*d**3/3 - 14*d**2/3 + 56*d/3 - 40/3.
-2*(d - 2)*(d - 1)*(d + 10)/3
What is b in -3*b**5/4 + 15*b**4/4 + 33*b**3/4 - 219*b**2/4 + 147*b/2 - 30 = 0?
-4, 1, 2, 5
Let 5*f**5 + 500*f**4 + 14325*f**3 + 90650*f**2 + 140300*f + 63480 = 0. Calculate f.
-46, -6, -1
Find y such that -2*y**4/3 + 2*y**3 + 4*y**2 - 16*y/3 = 0.
-2, 0, 1, 4
Factor o**2/4 + 45*o/4 + 11.
(o + 1)*(o + 44)/4
Find j such that -3*j**4 - 570*j**3 - 25899*j**2 + 112908*j = 0.
-97, 0, 4
Factor -2*i**5/3 + 4*i**4 - 8*i**3 + 20*i**2/3 - 2*i.
-2*i*(i - 3)*(i - 1)**3/3
What is j in 3*j**5 - 195*j**4 + 2784*j**3 + 15060*j**2 - 66912*j - 277440 = 0?
-4, 5, 34
Factor -2*k**4 + 44*k**3 - 114*k**2 - 8*k + 152.
-2*(k - 19)*(k - 2)**2*(k + 1)
Determine o so that -10*o**4/17 - 38*o**3/17 + 58*o**2/17 - 10*o/17 = 0.
-5, 0, 1/5, 1
Factor -s**2/6 + 1481*s/3 - 2193361/6.
-(s - 1481)**2/6
Factor 5*n**4 - 5*n**2.
5*n**2*(n - 1)*(n + 1)
Determine u so that -3*u**3/5 + 27*u**2/5 + 3*u/5 - 27/5 = 0.
-1, 1, 9
Determine x, given that 4*x**4/3 - 11*x**3/2 + 