 + 276*h/7 + 36.
-3*(h - 14)*(h + 1)*(h + 6)/7
What is o in -2*o**3/11 + 2*o**2 + 28*o/11 - 48/11 = 0?
-2, 1, 12
Factor -2*a**4/9 - 1168*a**3/3 - 255792*a**2 - 74691264*a - 8178693408.
-2*(a + 438)**4/9
Determine b, given that 4*b**3 + 2112*b**2 + 278784*b = 0.
-264, 0
Factor -2*r**3/7 + 22*r**2/7 + 4*r - 48/7.
-2*(r - 12)*(r - 1)*(r + 2)/7
Find b such that 4*b**4 + 12*b**3 - 2612*b**2 + 5172*b - 2576 = 0.
-28, 1, 23
Let -4*p**4 + 48*p**3 - 200*p**2 + 336*p - 180 = 0. What is p?
1, 3, 5
Factor 140*c**2/3 + 572*c/3 + 16.
4*(c + 4)*(35*c + 3)/3
Factor -r**3 + 31*r**2 - 108*r.
-r*(r - 27)*(r - 4)
Factor -4*r**2 - 8*r + 252.
-4*(r - 7)*(r + 9)
Factor z**3 + 2330*z**2 - 4663*z + 2332.
(z - 1)**2*(z + 2332)
Determine d, given that -2*d**4 - 406*d**3/3 - 8668*d**2/3 - 57344*d/3 - 34496/3 = 0.
-28, -11, -2/3
What is j in -2*j**3/3 + 10*j**2/3 + 4*j = 0?
-1, 0, 6
Find c such that 7*c**2/5 - 131*c/5 - 38/5 = 0.
-2/7, 19
Suppose 338*l**2/3 - 364*l/3 + 98/3 = 0. What is l?
7/13
Factor 20*p**2 + 226*p/5 + 88/5.
2*(2*p + 1)*(25*p + 44)/5
Suppose 3*d**5 - 315*d**4 + 12150*d**3 - 196830*d**2 + 885735*d + 4782969 = 0. What is d?
-3, 27
Factor 12*c**2 + 129*c - 33.
3*(c + 11)*(4*c - 1)
Factor -18*n**2 - 105*n + 18.
-3*(n + 6)*(6*n - 1)
Let 12*o**3/7 + 2*o**2/7 - 44*o/7 = 0. Calculate o.
-2, 0, 11/6
Determine t so that -5*t**3 - 635*t**2 - 14695*t - 14065 = 0.
-97, -29, -1
Determine q, given that -q**5/6 + q**4 - 5*q**3/3 + 11*q/6 - 1 = 0.
-1, 1, 2, 3
Find j such that -j**3/7 + 4*j**2/7 + 41*j/7 + 36/7 = 0.
-4, -1, 9
Find j such that j**4/4 - 3*j**3/2 - 7*j**2 + 3*j/2 + 27/4 = 0.
-3, -1, 1, 9
Suppose -3*u**5 - 612*u**4 - 609*u**3 = 0. Calculate u.
-203, -1, 0
Suppose -16*a**4 + 80*a**3 + 76*a**2 - 728*a + 588 = 0. Calculate a.
-3, 1, 7/2
Solve -m**2/3 - 197*m/3 - 382 = 0 for m.
-191, -6
Solve 8*u**4/21 + 38*u**3/21 - 2*u**2 - 152*u/21 + 40/21 = 0 for u.
-5, -2, 1/4, 2
Solve -9*c**3/5 - 6*c**2/5 + 36*c/5 + 24/5 = 0 for c.
-2, -2/3, 2
Factor 2*r**3/9 - 352*r**2/3 + 15370*r + 280900/9.
2*(r - 265)**2*(r + 2)/9
Factor -5*c**2/4 + 25*c/4 + 30.
-5*(c - 8)*(c + 3)/4
Find q, given that -2*q**3/3 + 914*q**2 - 417698*q + 190887986/3 = 0.
457
Suppose 4*d**2 - 16904*d + 17859076 = 0. What is d?
2113
Factor -3*t**3 - 36*t**2 - 81*t.
-3*t*(t + 3)*(t + 9)
Solve 11*k**4 - 1877*k**3/5 + 16127*k**2/5 - 1819*k/5 - 1734/5 = 0 for k.
-3/11, 2/5, 17
Determine i, given that -10*i**5 - 1118*i**4 - 180398*i**3/5 - 1312098*i**2/5 - 964512*i/5 - 187272/5 = 0.
-51, -9, -2/5
Factor -5*z**3 + 10*z**2.
-5*z**2*(z - 2)
Solve -68*b**5 - 944*b**4 - 3968*b**3 - 2920*b**2 + 8900*b - 1000 = 0.
-5, 2/17, 1
Let 5*g**3 + 495*g**2 + 8400*g + 39500 = 0. Calculate g.
-79, -10
Factor h**5 - 61*h**4 + 59*h**3 + 61*h**2 - 60*h.
h*(h - 60)*(h - 1)**2*(h + 1)
Let -q**2 - q = 0. Calculate q.
-1, 0
Determine g so that 2*g**3/7 - 22*g**2/7 - 24*g/7 = 0.
-1, 0, 12
Let 2*z**4/5 - 24*z**3/5 + 36*z**2/5 + 56*z - 294/5 = 0. Calculate z.
-3, 1, 7
Factor -3*w**2/4 + 3*w/2.
-3*w*(w - 2)/4
Factor -3*d**3/7 - 6*d**2 + 204*d/7 - 216/7.
-3*(d - 2)**2*(d + 18)/7
Suppose -4*d**3 - 32*d**2 + 76*d - 40 = 0. Calculate d.
-10, 1
Find d such that 4*d**4 - 92*d**3 + 608*d**2 - 880*d = 0.
0, 2, 10, 11
Factor -2*w**5 - 12*w**4 - 10*w**3.
-2*w**3*(w + 1)*(w + 5)
Solve 32*y**5 + 56*y**4 - 12*y**3 - 52*y**2 - 4*y + 12 = 0.
-1, 1/2, 3/4
Suppose -2*b**2 + 178*b + 180 = 0. Calculate b.
-1, 90
Determine n, given that 3*n**4 + 156*n**3 - 498*n**2 - 156*n + 495 = 0.
-55, -1, 1, 3
Suppose -5*z**5/6 + 11*z**4/3 + 47*z**3/6 + 4*z**2/3 - 2*z = 0. Calculate z.
-1, 0, 2/5, 6
Factor 12*d**5 + 164*d**4 + 664*d**3 + 1008*d**2 + 352*d - 256.
4*(d + 2)**3*(d + 8)*(3*d - 1)
Let 3*k**4/5 - 117*k**3/5 + 522*k**2/5 - 408*k/5 = 0. Calculate k.
0, 1, 4, 34
Find i, given that -4*i**5/3 - 28*i**4/3 + 536*i**3/3 - 744*i**2 + 1188*i - 612 = 0.
-17, 1, 3
Factor -3*k**4 + 135*k**3 + 279*k**2 + 141*k.
-3*k*(k - 47)*(k + 1)**2
Let z**4/5 + 3*z**3 = 0. What is z?
-15, 0
Factor x**4 + 21*x**3/4 + 29*x**2/4 + 3*x/2.
x*(x + 2)*(x + 3)*(4*x + 1)/4
Find r such that -12*r**4 + 309*r**3 + 786*r**2 - 831*r - 252 = 0.
-3, -1/4, 1, 28
Solve -2*l**4/17 + 2*l**3/17 + 2*l**2/17 - 2*l/17 = 0.
-1, 0, 1
Factor i**2/2 - 38*i + 722.
(i - 38)**2/2
Factor -2*j**3/9 - 382*j**2/9 - 4690*j/3 + 46550.
-2*(j - 19)*(j + 105)**2/9
Solve 5*u**2 - 70*u - 75 = 0 for u.
-1, 15
Find o such that -7*o**3 - 114*o**2 - 137*o - 30 = 0.
-15, -1, -2/7
Factor -3*n**2 - 1170*n + 1173.
-3*(n - 1)*(n + 391)
Factor 14*o**4 - 1200*o**3 - 1562*o**2 - 348*o.
2*o*(o - 87)*(o + 1)*(7*o + 2)
Let -27*d**5/5 + 891*d**4/5 + 9*d**3/5 - 299*d**2/5 + 66*d/5 = 0. What is d?
-2/3, 0, 1/3, 33
Determine t so that 5*t**4 + 95*t**3 + 550*t**2 + 1060*t + 600 = 0.
-10, -6, -2, -1
Factor 3*x**3 - 33*x**2 - 87*x + 117.
3*(x - 13)*(x - 1)*(x + 3)
Factor -x**3/4 + 11*x**2/4 + 3*x.
-x*(x - 12)*(x + 1)/4
Determine y so that 3*y**3 + 33*y**2 = 0.
-11, 0
Determine p so that -3*p**3/5 - 141*p**2/5 + 327*p - 855 = 0.
-57, 5
Solve 4*h**5 + 4*h**4 - 40*h**3 - 16*h**2 + 96*h = 0 for h.
-3, -2, 0, 2
Factor 40*t**2 + 2700*t + 91125/2.
5*(4*t + 135)**2/2
Find a such that 2*a**5/19 - 20*a**4/19 - 50*a**3/19 + 20*a**2/19 + 48*a/19 = 0.
-2, -1, 0, 1, 12
Determine y, given that -2*y**5/11 - 24*y**4/11 + 142*y**3/11 + 204*y**2/11 - 320*y/11 = 0.
-16, -2, 0, 1, 5
Let 81*j**4 + 492*j**3 + 1008*j**2 + 720*j + 48 = 0. Calculate j.
-2, -2/27
Suppose 21*f**3/4 + 9*f**2/4 - 21*f/4 - 9/4 = 0. What is f?
-1, -3/7, 1
Factor 3*l**3 + 1059*l**2 + 97053*l + 628509.
3*(l + 7)*(l + 173)**2
Solve -x**2/5 - 426*x/5 + 427/5 = 0.
-427, 1
Solve -4*o**4 - 14*o**3 - 12*o**2 + 2*o + 4 = 0 for o.
-2, -1, 1/2
Factor 2*h**3/5 + 6*h**2/5 - 56*h/5 - 24.
2*(h - 5)*(h + 2)*(h + 6)/5
Factor 11*m**4/6 + 13*m**3/6 + m**2/3.
m**2*(m + 1)*(11*m + 2)/6
Determine l so that -4*l**4 + 448*l**3 - 18432*l**2 + 327680*l - 2097152 = 0.
16, 32
What is i in -i**5/5 + i**4 - 6*i**3/5 - 4*i**2/5 + 8*i/5 = 0?
-1, 0, 2
Determine r, given that -55*r**5/4 + 62*r**4 - 257*r**3/4 + r**2 + 15*r = 0.
-2/5, 0, 10/11, 1, 3
Factor 2*h**5/17 - 14*h**4/17 + 30*h**3/17 - 26*h**2/17 + 8*h/17.
2*h*(h - 4)*(h - 1)**3/17
Find o such that -3*o**2 - 48*o = 0.
-16, 0
Determine n, given that -n**5/3 + 4*n**4/3 - 10*n**2/3 + n/3 + 2 = 0.
-1, 1, 2, 3
Suppose -85*a**4 + 670*a**3 - 345*a**2 - 1240*a - 140 = 0. What is a?
-1, -2/17, 2, 7
Let -6*l**3 + 226*l**2 - 2090*l - 722 = 0. Calculate l.
-1/3, 19
Factor -3*d**2/7 + 225*d/7 - 3588/7.
-3*(d - 52)*(d - 23)/7
Suppose x**5/5 + 8*x**4/5 + 16*x**3/5 - 16*x**2/5 - 16*x - 64/5 = 0. What is x?
-4, -2, 2
Find k, given that k**2 + 21*k - 22 = 0.
-22, 1
Suppose -428*l**3/5 - 848*l**2/5 - 412*l/5 + 8/5 = 0. What is l?
-1, 2/107
Find t such that t**5/5 + 13*t**4/5 - 47*t**3/5 + 19*t**2/5 + 46*t/5 - 32/5 = 0.
-16, -1, 1, 2
Factor -j**2/4 - 241*j - 58081.
-(j + 482)**2/4
Factor o**2/3 - 10*o/3 - 125.
(o - 25)*(o + 15)/3
Let 2*v**3/17 - 6*v**2/17 - 18*v/17 - 10/17 = 0. What is v?
-1, 5
Factor m**2 + 50*m + 96.
(m + 2)*(m + 48)
Factor -4*m**3 - 796*m**2 + 4*m + 796.
-4*(m - 1)*(m + 1)*(m + 199)
Suppose 12*y**4 - 2440*y**3 + 125644*y**2 - 163216*y = 0. What is y?
0, 4/3, 101
Suppose -5*g**2 + 100*g - 455 = 0. What is g?
7, 13
Factor 2*r**2/3 + 4*r + 10/3.
2*(r + 1)*(r + 5)/3
Factor -2*p**3/3 - 530*p**2 - 106650*p - 1560250/3.
-2*(p + 5)*(p + 395)**2/3
Find v, given that -v**4/11 + 7*v**3/11 - 16*v**2/11 + 12*v/11 = 0.
0, 2, 3
Factor 5*f**2 - 85*f.
5*f*(f - 17)
What is l in 27*l**5/7 + 144*l**4/7 - 15*l**3 + 18*l**2/7 = 0?
-6, 0, 1/3
Factor -3*v**2 + 18*v - 24.
-3*(v - 4)*(v - 2)
Factor 144*f**4 - 1080*f**3 - 564*f**2 - 286*f/3 - 16/3.
2*(f - 8)*(6*f + 1)**3/3
Find y, given that -3*y**2/4 - 1899*y/4 = 0.
-633, 0
Solve -2*g**3/9 + 4*g**2/9 + 110*g/9 - 400/9 = 0 for g.
-8, 5
Find x such that x**4/2 - 19*x**2/2 - 15*x = 0.
-3, -2, 0, 5
Factor 4*o**3 + 44*o**2 + 124*o + 84.
4*(o + 1)*(o + 3)*(o + 7)
Factor 3*m**3 - 6*m**2 - 21*m - 12.
3*(m - 4)*(m + 1)**2
Solve 1058*w**5 - 3496*w**4 + 4268*w**3 - 2280*w**2 + 450*w = 0.
0, 15/23, 1
Factor b**5/8 + b**4 + 15*b**3/8 - b**2 - 2*b.
b*(b - 1)*(b + 1)*(b + 4)**2/8
Factor -3*m**2/2 + 120*m + 246.
-3*(m - 82)*(m + 2)/2
Factor -4*v**4 + 12*v**2 - 8*v.
-4*v*(v - 1)**2*(v + 2)
Determine k so that 5*k**5 + 48*k**4 + 85*k**3 - 222*k**2 - 468*k + 216 = 