i - 1 = 0. Calculate i.
-3, -1, 3
Let 3*i**3/2 - i**2/2 = 0. Calculate i.
0, 1/3
Factor -4*a**3/7 - 344*a**2/7 - 7040*a/7 + 15488/7.
-4*(a - 2)*(a + 44)**2/7
Factor -49*m**2 - 1638*m - 13689.
-(7*m + 117)**2
Factor -x**5 + 7*x**4 + 18*x**3.
-x**3*(x - 9)*(x + 2)
Factor -r**3/9 + 277*r**2/9.
-r**2*(r - 277)/9
Factor 3*l**3/4 - 6*l**2 + 57*l/4 - 9.
3*(l - 4)*(l - 3)*(l - 1)/4
Find c, given that -2*c**2/13 - 76*c/13 - 522/13 = 0.
-29, -9
Factor -3*h**2/5 - 96*h/5 - 336/5.
-3*(h + 4)*(h + 28)/5
Factor 5*f**3/6 - 1460*f**2/3 + 11560*f/3 - 7680.
5*(f - 576)*(f - 4)**2/6
Suppose -2*g**5 - 8*g**4 + 12*g**3 + 32*g**2 - 58*g + 24 = 0. What is g?
-4, -3, 1
Determine h so that 6*h**4/7 + 34*h**3/7 - 174*h**2/7 + 54*h/7 = 0.
-9, 0, 1/3, 3
Factor w**3/9 + 2*w**2.
w**2*(w + 18)/9
Let 4*g**2 - 32*g - 2640 = 0. What is g?
-22, 30
Find p, given that -2*p**3/19 - 44*p**2/19 + 46*p/19 = 0.
-23, 0, 1
Find u, given that u**4 - 64*u**3 + 720*u**2 + 10368*u = 0.
-8, 0, 36
Factor -5*g**2 - 270*g + 5175.
-5*(g - 15)*(g + 69)
Solve 5*n**2/3 + 10*n + 25/3 = 0.
-5, -1
Factor -h**2/9 + 247*h/9.
-h*(h - 247)/9
Factor -9*f**2/4 + 183*f/8 + 201/8.
-3*(f + 1)*(6*f - 67)/8
Factor -z**4/12 + z**3 + 7*z**2/2 + 11*z/3 + 5/4.
-(z - 15)*(z + 1)**3/12
Factor -5*r**2 - 550*r + 1695.
-5*(r - 3)*(r + 113)
Suppose -6*d**5 - 88*d**4 - 48*d**3 + 116*d**2 + 54*d - 28 = 0. Calculate d.
-14, -1, 1/3, 1
Factor 2*x**2/3 + 18*x + 184/3.
2*(x + 4)*(x + 23)/3
Find g, given that 25*g**4 + 260*g**3 + 35*g**2 - 620*g + 300 = 0.
-10, -2, 3/5, 1
What is h in -14*h**4/9 + 970*h**3/9 + 3478*h**2/3 + 24590*h/9 - 7900/9 = 0?
-5, 2/7, 79
Factor c**3 - 7*c**2 - 17*c - 9.
(c - 9)*(c + 1)**2
Let 252*c**2 - 2528*c + 80 = 0. What is c?
2/63, 10
Factor 2*i**3/13 - 14*i**2/13 - 16*i/13.
2*i*(i - 8)*(i + 1)/13
Suppose 80*d**5/13 - 206*d**4/13 - 302*d**3/13 + 698*d**2/13 - 306*d/13 + 36/13 = 0. Calculate d.
-2, 1/5, 3/8, 1, 3
Determine s so that s**5/7 - 85*s**4/7 + 1543*s**3/7 - 10287*s**2/7 + 25272*s/7 - 2916 = 0.
2, 9, 63
Let -4*x**3 - 24*x**2 + 268*x - 240 = 0. Calculate x.
-12, 1, 5
Suppose 4*s**5/5 + 544*s**4/5 + 19032*s**3/5 + 36448*s**2/5 + 17956*s/5 = 0. Calculate s.
-67, -1, 0
Factor -s**3/2 - 27*s**2/2 - 13*s.
-s*(s + 1)*(s + 26)/2
Determine l, given that 32*l**2 - 5460*l - 2052 = 0.
-3/8, 171
Determine z, given that -z**3 - 11*z**2 + 56*z - 60 = 0.
-15, 2
Factor -r**4/3 - 247*r**3/3 - 6806*r**2 - 571540*r/3 - 551368/3.
-(r + 1)*(r + 82)**3/3
Factor 5*v**5/2 + 265*v**4/2 + 3375*v**3/2 - 3645*v**2/2.
5*v**2*(v - 1)*(v + 27)**2/2
Factor 3*b**2/7 - 27*b/7.
3*b*(b - 9)/7
Find h, given that 2*h**2/3 - 98*h/3 - 100/3 = 0.
-1, 50
Factor 2*g**4/11 - 18*g**3/11 + 40*g**2/11 - 24*g/11.
2*g*(g - 6)*(g - 2)*(g - 1)/11
Factor 4*h**2 - 608*h + 23104.
4*(h - 76)**2
Find v such that -5*v**4 - 3*v**3 + 5*v**2 + 3*v = 0.
-1, -3/5, 0, 1
What is s in -2*s**2/5 + 276*s/5 - 544/5 = 0?
2, 136
Determine u so that 2*u**5/15 - 2*u**4/15 - 2*u**3/3 - 2*u**2/5 = 0.
-1, 0, 3
Suppose 3*v**4/4 - 15*v**3/2 + 45*v**2/4 + 15*v/2 - 12 = 0. Calculate v.
-1, 1, 2, 8
Factor 2*z**2/5 + 148*z/5.
2*z*(z + 74)/5
Factor 42*l**2 + 45*l + 3.
3*(l + 1)*(14*l + 1)
Let m**3/4 + 15*m**2/4 + 14*m = 0. Calculate m.
-8, -7, 0
Factor 2*f**3 + 4*f**2/5 - 2*f - 4/5.
2*(f - 1)*(f + 1)*(5*f + 2)/5
Factor 15*m**3/2 + 39*m**2/2 - 39*m + 12.
3*(m - 1)*(m + 4)*(5*m - 2)/2
Find q, given that 4*q**4 - 16*q**3 - 51*q**2 + 9*q + 54 = 0.
-3/2, 1, 6
What is t in 4*t**5 - 84*t**4 - 280*t**3 - 192*t**2 = 0?
-2, -1, 0, 24
Factor -5*u**3 - 520*u**2 + 1055*u - 530.
-5*(u - 1)**2*(u + 106)
Factor 5*u**3 + 2410*u**2.
5*u**2*(u + 482)
Factor 2*v**5/15 + 16*v**4/15 + 26*v**3/15 + 4*v**2/5.
2*v**2*(v + 1)**2*(v + 6)/15
Suppose z**3/6 - 3*z**2 + 47*z/6 - 5 = 0. Calculate z.
1, 2, 15
Factor -2*b**5/3 - 20*b**4 - 230*b**3 - 3800*b**2/3 - 3360*b - 3456.
-2*(b + 4)**3*(b + 9)**2/3
Factor -4*f**2/9 - 68*f/9.
-4*f*(f + 17)/9
Find y, given that 3*y**5 + 3*y**4 - 21*y**3 - 39*y**2 - 18*y = 0.
-2, -1, 0, 3
Let t**4/8 - 183*t**3/8 - 749*t**2/8 + 183*t/8 + 187/2 = 0. Calculate t.
-4, -1, 1, 187
What is n in n**5/5 - 23*n**4/5 + 142*n**3/5 - 98*n**2/5 - 143*n/5 + 121/5 = 0?
-1, 1, 11
Factor -30*b**4 + 63*b**3 - 36*b**2 + 3*b.
-3*b*(b - 1)**2*(10*b - 1)
Determine j so that -j**4 - 24*j**3 = 0.
-24, 0
Determine c, given that -2*c**2 + 1632*c - 332928 = 0.
408
Suppose -s**2/5 - 146*s/5 - 5329/5 = 0. Calculate s.
-73
Factor -6*z**3 + 206*z**2 + 364*z - 144.
-2*(z - 36)*(z + 2)*(3*z - 1)
Factor -2*t**4 + 4332*t**3 - 2350106*t**2 + 4687224*t - 2341448.
-2*(t - 1082)**2*(t - 1)**2
Solve k**3 + 8*k**2 - 4*k - 32 = 0.
-8, -2, 2
Factor 4*q**2 + 6640*q.
4*q*(q + 1660)
Determine f, given that f**3/3 + 2327*f**2/3 + 450856*f - 451632 = 0.
-1164, 1
Factor -3*n**4/5 + 36*n**3/5 - 66*n**2/5 - 252*n/5 - 147/5.
-3*(n - 7)**2*(n + 1)**2/5
Solve y**4/5 - 2*y**3/5 - 8*y**2/5 = 0.
-2, 0, 4
Factor -b**3/3 - 215*b**2/3.
-b**2*(b + 215)/3
Let 8*w**4/7 - 90*w**3/7 + 156*w**2/7 - 74*w/7 = 0. What is w?
0, 1, 37/4
Suppose 350*c**4 - 415*c**3 + 55*c**2 + 10*c = 0. What is c?
-1/10, 0, 2/7, 1
Factor 98*m**4/17 + 504*m**3/17 + 956*m**2/17 + 792*m/17 + 242/17.
2*(m + 1)**2*(7*m + 11)**2/17
Solve c**2/3 - 14*c + 39 = 0.
3, 39
Factor -2*t**2/11 + 16*t/11 - 24/11.
-2*(t - 6)*(t - 2)/11
Find z such that -2*z**5/3 - 164*z**4/3 + 334*z**3/3 - 56*z**2 = 0.
-84, 0, 1
Solve -2*k**2 - 578*k = 0.
-289, 0
Factor 15*c**4 + 10*c**3 - 40*c**2 - 10*c + 25.
5*(c - 1)**2*(c + 1)*(3*c + 5)
Solve -4*j**4 + 88*j**3 - 724*j**2 + 2640*j - 3600 = 0 for j.
5, 6
Determine z, given that 324*z**4 + 684*z**3 - 800*z**2 + 192*z = 0.
-3, 0, 4/9
Suppose -w**4/4 + 2*w**3 - 3*w**2 = 0. What is w?
0, 2, 6
Determine f so that -3*f**5 + 6*f**4 + 33*f**3 - 36*f**2 - 108*f = 0.
-2, 0, 3
Factor -3*s**3 - 1050*s**2 - 90816*s + 185856.
-3*(s - 2)*(s + 176)**2
Factor j**3 + 43*j**2 + 483*j + 441.
(j + 1)*(j + 21)**2
Factor -2*m**3 - 42*m**2 + 1440*m - 8200.
-2*(m - 10)**2*(m + 41)
Factor -2*p**4 - 8*p**3 + 180*p**2 - 648*p + 702.
-2*(p - 3)**3*(p + 13)
What is w in -3*w**4 + 69*w**3 + 3*w**2 - 69*w = 0?
-1, 0, 1, 23
Factor n**3 + 25*n**2 + 152*n + 272.
(n + 4)**2*(n + 17)
Solve -6*i**5/11 + 256*i**4/11 + 90*i**3/11 - 172*i**2/11 = 0.
-1, 0, 2/3, 43
What is o in -3*o**5 + 48*o**4 - 183*o**3 - 42*o**2 + 672*o + 480 = 0?
-1, 4, 10
Let 2*v**4 - 536*v**3 + 2646*v**2 - 4216*v + 2104 = 0. Calculate v.
1, 2, 263
Let -2*i**2/3 + 280*i - 1672/3 = 0. Calculate i.
2, 418
Suppose f**5/6 - 2*f**4/3 - f**3/2 + 7*f**2/3 - 4*f/3 = 0. Calculate f.
-2, 0, 1, 4
Find k, given that 3*k**5 + 105*k**4 + 678*k**3 - 1800*k**2 = 0.
-25, -12, 0, 2
Factor 3*a**5 + 36*a**4 + 150*a**3 + 264*a**2 + 207*a + 60.
3*(a + 1)**3*(a + 4)*(a + 5)
Factor -38*c**2/9 + 64*c/9 + 8/3.
-2*(c - 2)*(19*c + 6)/9
Suppose -3*f**3 + 51*f**2 - 93*f + 45 = 0. What is f?
1, 15
Factor -v**2/4 - 46*v + 185/4.
-(v - 1)*(v + 185)/4
Find s, given that -3*s**5 - 189*s**4 + 192*s**3 = 0.
-64, 0, 1
Find v, given that 3*v**5/4 - 57*v**4/4 + 225*v**3/4 + 609*v**2/4 - 420*v + 225 = 0.
-3, 1, 10
Factor 5*s**2 + 2960*s + 438080.
5*(s + 296)**2
Factor -s**4 - 199*s**3 + 200*s**2.
-s**2*(s - 1)*(s + 200)
Solve -2*k**3/9 + 296*k**2/9 + 598*k/9 + 100/3 = 0 for k.
-1, 150
Let r**3/6 + 17*r**2/2 + 33*r/2 + 49/6 = 0. Calculate r.
-49, -1
Factor 2*s**4 - 8*s**3 - 102*s**2 - 172*s - 80.
2*(s - 10)*(s + 1)**2*(s + 4)
Let 5*p**3 + 4375*p**2 = 0. What is p?
-875, 0
Determine k, given that k**4/9 - 82*k**3/9 + 155*k**2/3 - 76*k = 0.
0, 3, 76
What is l in -2*l**5 - 60*l**4 - 690*l**3 - 3760*l**2 - 9600*l - 9216 = 0?
-8, -3
Factor -2*p**5/5 - 258*p**4/5 - 12276*p**3/5 - 248292*p**2/5 - 1509354*p/5 + 7115526/5.
-2*(p - 3)*(p + 33)**4/5
Suppose 4*j**4 + 652*j**3 + 26192*j**2 - 34768*j - 322752 = 0. What is j?
-82, -3, 4
Solve 3*r**2/4 - 45*r/4 = 0 for r.
0, 15
Determine t so that t**2 - 15*t + 54 = 0.
6, 9
Let 2*m**3/13 + 32*m**2/13 = 0. What is m?
-16, 0
Factor 3*u**5/4 + 12*u**4 + 45*u**3/4.
3*u**3*(u + 1)*(u + 15)/4
Factor -5*u**2 + 30*u + 35.
-5*(u - 7)*(u + 1)
Suppose -2*p**3/5 + 78*p**2/5 + 336*p/5 + 344/5 = 0. What is p?
-2, 43
Solve 208*n**2/7 + 2*n/7 = 0 for n.
-1/104, 0
Factor -4*v**2/3 - 2564*v/3 - 2560/3.
-4*(v + 1)*(v + 640)/3
Find y such that -3*y**5/8 + 115*y**4/8 - 255*y**3/8 + 105*y**2/8 + 55*y/4 - 9 = 0.
-2/3, 1, 36
Determine o