3*f + 2916 = 0. Calculate f.
9, 324
Solve -145*i**4 + 155*i**3 + 715*i**2 + 385*i - 30 = 0 for i.
-1, 2/29, 3
Factor 5*n**2 - 5*n - 30.
5*(n - 3)*(n + 2)
Factor -34*r**2 + 32*r + 2.
-2*(r - 1)*(17*r + 1)
Let t**2/6 + 223*t/3 - 149/2 = 0. Calculate t.
-447, 1
Find d such that -5*d**4 - 120*d**3 - 220*d**2 = 0.
-22, -2, 0
Factor l**3/11 + 21*l**2/11 - l/11 - 21/11.
(l - 1)*(l + 1)*(l + 21)/11
Find w, given that -3*w**4 - 192*w**3 - 735*w**2 - 906*w - 360 = 0.
-60, -2, -1
Determine i so that i**4 + 58*i**3 + 717*i**2 - 3596*i + 3844 = 0.
-31, 2
Factor -4*c**2/7 - 412*c/7 + 416/7.
-4*(c - 1)*(c + 104)/7
Solve 2*p**2/9 - 74*p/3 - 76 = 0 for p.
-3, 114
Factor 3*n**2 - 120*n + 1200.
3*(n - 20)**2
Determine g, given that -2*g**4/5 - 12*g**3/5 + 208*g**2 + 2460*g + 2250 = 0.
-15, -1, 25
Factor -4*v**3 - 116*v**2 + 820*v - 700.
-4*(v - 5)*(v - 1)*(v + 35)
Let 2*n**2/3 + 720*n + 194400 = 0. Calculate n.
-540
What is m in -18*m**5/11 - 208*m**4/11 + 1554*m**3/11 - 1872*m**2/11 + 544*m/11 = 0?
-17, 0, 4/9, 1, 4
Determine u, given that -8*u**3/7 + 276*u**2/7 - 136*u/7 = 0.
0, 1/2, 34
Factor -213*s**3/2 + 219*s**2/2 - 3*s.
-3*s*(s - 1)*(71*s - 2)/2
Determine w so that -3*w**4 - 63*w**3 + 138*w**2 = 0.
-23, 0, 2
Factor -2*f**2 + 4*f/7.
-2*f*(7*f - 2)/7
Determine d, given that -3*d**3 + 342*d**2 + 2181*d - 2520 = 0.
-7, 1, 120
Factor r**2/4 + 13*r/4 - 17.
(r - 4)*(r + 17)/4
Let -5*q**5/6 + 145*q**4/6 + 5*q**3/3 - 145*q**2/3 - 5*q/6 + 145/6 = 0. What is q?
-1, 1, 29
Let h**5/4 - 3*h**4/4 - h**3 + 3*h**2 = 0. What is h?
-2, 0, 2, 3
Determine g, given that 20*g**2/7 - 324*g/7 = 0.
0, 81/5
Let -2*q**2/9 + 14*q/3 - 12 = 0. Calculate q.
3, 18
Solve -5*j**5/6 + 75*j**4/2 - 1685*j**3/3 + 2775*j**2 + 1125*j/2 - 5625/2 = 0 for j.
-1, 1, 15
Factor -4*c**3 - 10572*c**2 - 9313932*c - 2735191364.
-4*(c + 881)**3
What is x in -x**3 + x**2 + 20*x = 0?
-4, 0, 5
Solve t**5/6 + 5*t**4/3 + 2*t**3 - 71*t**2/3 - 445*t/6 - 50 = 0.
-5, -3, -1, 4
Factor 3*z**2 - 75*z + 252.
3*(z - 21)*(z - 4)
Suppose 2*m**5/5 + 6*m**4/5 + 4*m**3/5 = 0. What is m?
-2, -1, 0
Factor -2*h**3 + 22*h**2 + 28*h - 48.
-2*(h - 12)*(h - 1)*(h + 2)
Factor -3*z**3 + 93*z**2 - 702*z.
-3*z*(z - 18)*(z - 13)
Factor -2*l**3 - 28*l**2 + 480*l.
-2*l*(l - 10)*(l + 24)
Suppose -u**2/3 - 20*u/3 - 28 = 0. What is u?
-14, -6
Suppose 4*r**3 + 1540*r**2 + 150508*r + 437772 = 0. Calculate r.
-191, -3
Factor 10*i**3/13 + 8*i**2/13 - 2*i/13.
2*i*(i + 1)*(5*i - 1)/13
Solve m**3 - 4533*m**2 + 6849363*m - 3449795831 = 0 for m.
1511
Suppose 50*i**4 + 96*i**3 - 1758*i**2 + 140*i = 0. What is i?
-7, 0, 2/25, 5
Determine t so that t**5 + 2*t**4 - t**3 - 2*t**2 = 0.
-2, -1, 0, 1
Factor -3*d**4 - 31*d**3 + 251*d**2 - 345*d - 144.
-(d - 3)**2*(d + 16)*(3*d + 1)
Factor v**2/4 + 7*v.
v*(v + 28)/4
What is n in -5*n**3 - 300*n**2 - 3060*n + 46240 = 0?
-34, 8
Determine c so that -4*c**4/5 + 12*c**2/5 - 8*c/5 = 0.
-2, 0, 1
Factor 2*n**5 + 18*n**4 + 28*n**3 - 4*n**2 - 30*n - 14.
2*(n - 1)*(n + 1)**3*(n + 7)
Suppose -4*o**2 - 932*o - 13888 = 0. Calculate o.
-217, -16
Solve -k**2 - 101*k - 294 = 0.
-98, -3
Find v, given that 4*v**2 - 4*v - 120 = 0.
-5, 6
Factor 2*l**2/3 + 554*l/3 + 184.
2*(l + 1)*(l + 276)/3
Factor -5*b**2 - 1310*b + 1315.
-5*(b - 1)*(b + 263)
Factor -u**3/6 - 265*u**2/2 - 70225*u/2 - 18609625/6.
-(u + 265)**3/6
Suppose -3*t**3 + 1035*t**2 = 0. Calculate t.
0, 345
Suppose -d**3/10 + 5*d**2 + 103*d/10 + 26/5 = 0. Calculate d.
-1, 52
Solve -y**2/4 = 0.
0
Let -k**4 - 25*k**3 - 108*k**2 - 164*k - 80 = 0. Calculate k.
-20, -2, -1
Factor -3*h**2 + 4146*h + 4149.
-3*(h - 1383)*(h + 1)
Factor 2*j**4/13 - 136*j**3/13 + 40*j**2 - 512*j/13.
2*j*(j - 64)*(j - 2)**2/13
Factor 4*g**4 - 56*g**3 + 276*g**2 - 544*g + 320.
4*(g - 5)*(g - 4)**2*(g - 1)
Suppose -k**4 - 18*k**3 + 264*k**2 + 578*k + 297 = 0. What is k?
-27, -1, 11
Factor c**2/2 - 32*c + 512.
(c - 32)**2/2
Determine p so that 8978*p**3 - 162140*p**2 + 9656*p - 144 = 0.
2/67, 18
Find y such that y**5/7 - 577*y**4/7 + 84094*y**3/7 - 248830*y**2/7 + 35383*y - 11767 = 0.
1, 287
Factor -80*c**3 - 120*c**2 - 45*c - 5.
-5*(c + 1)*(4*c + 1)**2
Factor m**4 + 105*m**3/8 - 59*m**2/8 - 3249*m/8 - 405/8.
(m - 5)*(m + 9)**2*(8*m + 1)/8
Factor 2*u**2/7 + 130*u/7 + 2108/7.
2*(u + 31)*(u + 34)/7
Factor 36*h**4 - 8*h**3 - 108*h**2 + 96*h - 16.
4*(h - 1)**2*(h + 2)*(9*h - 2)
Solve 3*q**3 - 5*q**2 - 11*q - 3 = 0 for q.
-1, -1/3, 3
Factor -18*h**2/7 + 20*h/7 - 2/7.
-2*(h - 1)*(9*h - 1)/7
Factor 2*r**3 + 52*r**2 - 54*r.
2*r*(r - 1)*(r + 27)
Let 2*z**5/5 - 14*z**4/5 + 6*z**3 - 2*z**2 - 32*z/5 + 24/5 = 0. Calculate z.
-1, 1, 2, 3
Factor -3*r**4 + 24*r**3 - 21*r**2.
-3*r**2*(r - 7)*(r - 1)
Factor -45*b**2/4 - 635*b/2 - 70.
-5*(b + 28)*(9*b + 2)/4
Find h such that -2*h**2/7 + 80*h/7 - 152/7 = 0.
2, 38
Suppose 2*i**3 - 36*i**2 - 38*i = 0. What is i?
-1, 0, 19
Let -q**2/7 - 6*q/7 - 9/7 = 0. What is q?
-3
Suppose -14*n**5/13 - 116*n**4/13 + 10*n**3/13 + 320*n**2/13 - 136*n/13 - 64/13 = 0. Calculate n.
-8, -2, -2/7, 1
Factor 20*r**3 - 2660*r**2 - 2675*r - 670.
5*(r - 134)*(2*r + 1)**2
Solve -3*b**4 + 1095*b**3 + 3303*b**2 + 3309*b + 1104 = 0 for b.
-1, 368
Factor 75*b**2 + 980*b + 65.
5*(b + 13)*(15*b + 1)
Find n such that 3*n**5/4 - 45*n**4/4 + 231*n**3/4 - 495*n**2/4 + 189*n/2 = 0.
0, 2, 3, 7
Factor -361*j**2/3 - 3458*j/3 - 8281/3.
-(19*j + 91)**2/3
Determine g, given that -g**4/4 - 3*g**3/2 - g**2/4 + 6*g + 5 = 0.
-5, -2, -1, 2
Factor -c**2 + 216*c.
-c*(c - 216)
Factor -o**2 + 54*o.
-o*(o - 54)
Factor 507*g**2/2 + 117*g + 27/2.
3*(13*g + 3)**2/2
Factor -3*d**2 + 42*d - 120.
-3*(d - 10)*(d - 4)
Determine h so that 2*h**5/9 - 2*h**4/9 - 2*h**3/3 + 10*h**2/9 - 4*h/9 = 0.
-2, 0, 1
Factor c**3 - 560*c**2 + 77837*c + 157922.
(c - 281)**2*(c + 2)
Let -4*z**2/7 + 18*z/7 - 20/7 = 0. What is z?
2, 5/2
Suppose -3*l**5/4 - 11*l**4 + 42*l**3 - 105*l**2/2 + 107*l/4 - 9/2 = 0. What is l?
-18, 1/3, 1
Factor 10*w**2/17 + 196*w/17 - 80/17.
2*(w + 20)*(5*w - 2)/17
Suppose 2*v**2/3 + 2380*v + 2124150 = 0. Calculate v.
-1785
Factor 20*d**5 - 112*d**4 + 132*d**3 + 72*d**2.
4*d**2*(d - 3)**2*(5*d + 2)
Solve -8*w**5/7 - 74*w**4/7 - 66*w**3/7 + 116*w**2/7 + 32*w/7 = 0.
-8, -2, -1/4, 0, 1
Let -3*a**2 + 63*a + 1056 = 0. Calculate a.
-11, 32
Factor k**5/7 - 9*k**4/7.
k**4*(k - 9)/7
Find u, given that 5*u**3 + 115*u**2 + 650*u = 0.
-13, -10, 0
Factor -w**2/2 - 11*w/2 + 6.
-(w - 1)*(w + 12)/2
Factor p**4 + 8*p**3 + 6*p**2 - 8*p - 7.
(p - 1)*(p + 1)**2*(p + 7)
Factor 4*z**3/5 - 2352*z/5 - 21952/5.
4*(z - 28)*(z + 14)**2/5
Factor 4*y**3 - 8*y**2 + 4*y.
4*y*(y - 1)**2
Suppose 4*s**3 - 712*s**2 + 30960*s + 64800 = 0. Calculate s.
-2, 90
Let 2*z**2 + 110*z - 112 = 0. What is z?
-56, 1
Factor 3*o**3 - 210*o**2 + 3456*o + 7776.
3*(o - 36)**2*(o + 2)
Solve 4*v**5 + 52*v**4 + 228*v**3 + 396*v**2 + 216*v = 0.
-6, -3, -1, 0
Suppose -4*f**5 + 28*f**4 + 88*f**3 - 112*f**2 - 288*f = 0. What is f?
-2, 0, 2, 9
Determine x, given that 5*x**4 + 130*x**3 - 280*x**2 = 0.
-28, 0, 2
Factor -4*o**3/5 - 44*o**2/5 - 96*o/5 + 144/5.
-4*(o - 1)*(o + 6)**2/5
Factor 2*y**3/5 + 36*y**2/5 + 22*y/5 - 204/5.
2*(y - 2)*(y + 3)*(y + 17)/5
Determine h so that -5*h**3 - 80*h**2 - 75*h = 0.
-15, -1, 0
Factor -2*w**4/5 - 2*w**3/5 + 28*w**2/5 + 48*w/5.
-2*w*(w - 4)*(w + 2)*(w + 3)/5
Determine j, given that 12*j**4 - 4*j**3 - 84*j**2 + 100*j - 24 = 0.
-3, 1/3, 1, 2
Suppose -3*w**4/5 - 6*w**3/5 + 36*w**2/5 + 54*w/5 - 81/5 = 0. What is w?
-3, 1, 3
Solve -2*x**2 - 2588*x - 837218 = 0.
-647
Factor 2*w**3/15 + 4*w**2/5 - 2*w + 16/15.
2*(w - 1)**2*(w + 8)/15
Suppose -4*g**5 + 88*g**4 - 744*g**3 + 3008*g**2 - 5780*g + 4200 = 0. Calculate g.
2, 3, 5, 7
Factor -4*l**2 + 36*l - 72.
-4*(l - 6)*(l - 3)
Factor -28*s**4/9 + 2*s**3 + 10*s**2/9.
-2*s**2*(s - 1)*(14*s + 5)/9
Find q such that 4*q**4 + 28*q**3 + 32*q**2 - 64*q = 0.
-4, 0, 1
Let -r**4/5 + 112*r**3/5 - 106*r**2/5 - 552*r/5 - 333/5 = 0. Calculate r.
-1, 3, 111
Determine k, given that 3*k**3 + 9*k**2 = 0.
-3, 0
Factor y**5 + 9*y**4 - 2*y**3 - 18*y**2 + y + 9.
(y - 1)**2*(y + 1)**2*(y + 9)
Determine v, given that v**5/5 + v**4 - v**3/5 - v**2 = 0.
-5, -1, 0, 1
Factor k**5 - 5*k**4 + 7*k**3 + k**2 - 8*k + 4.
(k - 2)**2*(k - 1)**2*(k + 1)
Factor -6*k**3 + 400*k**2/3 - 2266*k/3 + 484/3.
-2*(k - 11)**2*(9*k - 2)/3
Factor -2*m**4/7 - 80*m*