3 + q**2/2 - 3*q/4 = 0 for q.
-3, -1, 0, 1
Factor -2*k**2/15 - 68*k/15 - 126/5.
-2*(k + 7)*(k + 27)/15
Suppose 2*w**5/7 + 2*w**4/7 - 10*w**3/7 - 10*w**2/7 + 8*w/7 + 8/7 = 0. Calculate w.
-2, -1, 1, 2
Factor 6*m**4/13 + 160*m**3/13 - 54*m**2/13.
2*m**2*(m + 27)*(3*m - 1)/13
Factor o**2/3 + 18*o + 473/3.
(o + 11)*(o + 43)/3
Suppose -5*k**3/6 + 3005*k**2/3 - 302000*k + 600000 = 0. What is k?
2, 600
Factor -4*t**4 + 320*t**3 - 6400*t**2.
-4*t**2*(t - 40)**2
Let 9*w**5 + 12*w**4 - 87*w**3 + 42*w**2 + 24*w = 0. What is w?
-4, -1/3, 0, 1, 2
Let 2*j**2 + 1528*j + 291848 = 0. What is j?
-382
Factor -3*t**3/5 - 42*t**2/5 - 39*t - 60.
-3*(t + 4)*(t + 5)**2/5
What is g in -2*g**4/7 - 6*g**3/7 + 6*g**2/7 + 22*g/7 + 12/7 = 0?
-3, -1, 2
Factor t**2 - 404*t + 40804.
(t - 202)**2
Factor -3*w**3/5 + 3*w**2/5 + 27*w/5 - 27/5.
-3*(w - 3)*(w - 1)*(w + 3)/5
Let 16*f**3 + 100*f**2 - 264*f = 0. Calculate f.
-33/4, 0, 2
Factor -2*b**3 + 180*b**2 - 4224*b + 7744.
-2*(b - 44)**2*(b - 2)
Factor -7*l**3/2 + 13*l**2 - 10*l - 4.
-(l - 2)**2*(7*l + 2)/2
Find u such that -u**2/3 - 6*u + 40/3 = 0.
-20, 2
Suppose -9*t**3/2 - 39*t**2/2 - 3*t + 12 = 0. What is t?
-4, -1, 2/3
Find r such that -3*r**2 + 1488*r - 1485 = 0.
1, 495
Determine i so that -i**3/7 - 132*i**2 - 923*i/7 = 0.
-923, -1, 0
Factor 33*t**4 + 3*t**3 - 33*t**2 - 3*t.
3*t*(t - 1)*(t + 1)*(11*t + 1)
Determine p, given that -2*p**4/3 + 124*p**3/3 - 592*p**2 - 5120*p/3 + 16384/3 = 0.
-4, 2, 32
Factor 3*z**3 + 13*z**2 + 2*z - 8.
(z + 1)*(z + 4)*(3*z - 2)
Factor 4*y**4 + 164*y**3 - 720*y**2.
4*y**2*(y - 4)*(y + 45)
Let 2*b**3/15 - 2*b/5 - 4/15 = 0. What is b?
-1, 2
Factor 3*u**2 + 471*u.
3*u*(u + 157)
Let 3*r**4 + 15*r**3/4 - 87*r**2/4 - 171*r/4 - 81/4 = 0. What is r?
-9/4, -1, 3
Factor -v**4/5 + 12*v**3/5 - 7*v**2 - 12*v/5 + 36/5.
-(v - 6)**2*(v - 1)*(v + 1)/5
Find t, given that -3*t**5/5 + 47*t**4/5 - 198*t**3/5 + 292*t**2/5 - 24*t = 0.
0, 2/3, 2, 3, 10
Factor 2*g**5/7 + 10*g**4/7 + 16*g**3/7 + 8*g**2/7.
2*g**2*(g + 1)*(g + 2)**2/7
Suppose 4*d**4 - 56*d**3 + 276*d**2 - 544*d + 320 = 0. What is d?
1, 4, 5
Factor 2*d**5 + 10*d**4 - 48*d**3 + 8*d**2 + 64*d.
2*d*(d - 2)**2*(d + 1)*(d + 8)
Solve 153*z**3/7 + 195*z**2/7 + 39*z/7 - 3/7 = 0 for z.
-1, -1/3, 1/17
Factor 4*p**5 - 32*p**4 - 80*p**3 - 8*p**2 + 76*p + 40.
4*(p - 10)*(p - 1)*(p + 1)**3
Find v such that 11*v**5 + 24*v**4 - 117*v**3 - 154*v**2 + 372*v + 72 = 0.
-3, -2/11, 2
Let -u**3/3 + 15*u**2 - 132*u = 0. Calculate u.
0, 12, 33
Factor -5*w**2 - 4625*w + 4630.
-5*(w - 1)*(w + 926)
Find l, given that -10*l**5 + 84*l**4 - 192*l**3 + 64*l**2 = 0.
0, 2/5, 4
Determine t so that 6*t**5/13 - 32*t**4/13 + 54*t**3/13 - 20*t**2/13 - 24*t/13 + 16/13 = 0.
-2/3, 1, 2
Solve 36*q**2 - 4*q = 0.
0, 1/9
Factor -5*i**4 + 675*i**3 + 4190*i**2 + 5640*i.
-5*i*(i - 141)*(i + 2)*(i + 4)
Find d, given that 7*d**5 + 38*d**4 + 11*d**3 - 20*d**2 = 0.
-5, -1, 0, 4/7
Solve 12*i**3 - 21*i**2 + 6*i + 3 = 0.
-1/4, 1
Factor -3*d**4 + 27*d**3 - 87*d**2 + 117*d - 54.
-3*(d - 3)**2*(d - 2)*(d - 1)
Suppose 5*j**2 + 12590*j + 7925405 = 0. Calculate j.
-1259
Factor -t**2 + 73*t/2 + 57.
-(t - 38)*(2*t + 3)/2
Factor -132*l**2/5 - 262*l/5 + 4/5.
-2*(l + 2)*(66*l - 1)/5
Factor -2452201125*t**4/4 - 2467937175*t**3/4 - 7884855*t**2/2 - 8421*t - 6.
-3*(t + 1)*(935*t + 2)**3/4
Factor -5*k**2 + 6*k.
-k*(5*k - 6)
Factor 6*p**3 - 254*p**2 + 84*p.
2*p*(p - 42)*(3*p - 1)
What is u in 5*u**5 + 60*u**4 + 155*u**3 - 120*u**2 - 700*u - 480 = 0?
-8, -3, -2, -1, 2
Factor -h**4/2 - 7*h**3/2 - 13*h**2/2 + 3*h/2 + 9.
-(h - 1)*(h + 2)*(h + 3)**2/2
Factor 3*x**4 - 9*x**3.
3*x**3*(x - 3)
Factor 4*r**4 - 44*r**3 + 156*r**2 - 180*r.
4*r*(r - 5)*(r - 3)**2
Solve 2*a**2/13 + 7484*a/13 + 7001282/13 = 0.
-1871
Factor 3*r**4/7 - 66*r**3/7 + 159*r**2/7 + 228*r/7.
3*r*(r - 19)*(r - 4)*(r + 1)/7
Solve -u**4/3 - 7*u**3/6 - u**2/2 + 4*u/3 + 2/3 = 0.
-2, -1/2, 1
Let 5*s**3 - 175*s**2 + 2015*s - 7605 = 0. What is s?
9, 13
Solve -4*z**4/5 + 16*z**3/5 + 24*z**2/5 - 16*z/5 - 4 = 0 for z.
-1, 1, 5
Let -3*l**4/4 + 3*l**3 + 471*l**2/4 + 105*l - 225 = 0. Calculate l.
-10, -2, 1, 15
Find z such that 2*z**5 - 12*z**4 + 18*z**3 - 8*z**2 = 0.
0, 1, 4
Suppose -x**3 - 113*x**2 - 3135*x + 3249 = 0. Calculate x.
-57, 1
Factor 4*n**4/7 + 16*n**3/7 + 8*n**2/7 - 16*n/7 - 12/7.
4*(n - 1)*(n + 1)**2*(n + 3)/7
Find t such that 5*t**2/4 + 13*t/2 + 21/4 = 0.
-21/5, -1
What is i in -3*i**2 + 246*i - 5043 = 0?
41
Factor 2*c**4/17 - 174*c**3/17 + 996*c**2/17 - 1960*c/17 + 1296/17.
2*(c - 81)*(c - 2)**3/17
Factor 2*m**5/9 + 518*m**4/9 + 340*m**3 + 6088*m**2/9 + 4048*m/9.
2*m*(m + 2)**3*(m + 253)/9
Determine i, given that -4*i**3 + 12*i**2 + 36*i - 108 = 0.
-3, 3
Suppose 3*q**3 - 384*q**2 + 12288*q = 0. What is q?
0, 64
Find u, given that -u**5/9 + 4*u**4/3 - 8*u**3/9 - 34*u**2/9 + u + 22/9 = 0.
-1, 1, 2, 11
Factor -2*n**2/3 - 10*n/3 + 44.
-2*(n - 6)*(n + 11)/3
Find s, given that 2*s**2/3 - 284*s/3 = 0.
0, 142
Find n such that -2*n**3 + 538*n**2 - 35910*n - 36450 = 0.
-1, 135
Suppose 4*w**4 + 12*w**3 - 64*w**2 + 48*w = 0. What is w?
-6, 0, 1, 2
Solve 3*a**5/2 - 108*a**3 + 1944*a = 0.
-6, 0, 6
Let 147*t**3/8 - 42*t**2 - 297*t/8 - 27/4 = 0. What is t?
-3/7, -2/7, 3
Find x such that x**5/9 + 23*x**4/9 + 94*x**3/9 - 430*x**2/9 + 481*x/9 - 169/9 = 0.
-13, 1
What is q in q**4/4 - 2*q**3 - 35*q**2/4 + 147*q/2 = 0?
-6, 0, 7
Let -105*n**3 + 426*n**2 - 339*n + 18 = 0. What is n?
2/35, 1, 3
Factor 25*u**3 - 660*u**2 + 4260*u - 1600.
5*(u - 16)*(u - 10)*(5*u - 2)
Suppose 3*d**3 + 27*d**2 + 45*d + 21 = 0. Calculate d.
-7, -1
Find l, given that 2*l**4 - 4*l**3 - 10*l**2 + 12*l = 0.
-2, 0, 1, 3
Suppose -147*w**5/2 + 4935*w**4/2 - 27921*w**3/2 - 250575*w**2/2 + 74784*w - 10830 = 0. What is w?
-5, 2/7, 19
Factor 2*f**2 + 366*f + 364.
2*(f + 1)*(f + 182)
Factor -5*v**3 + 5*v**2 + 170*v + 280.
-5*(v - 7)*(v + 2)*(v + 4)
Determine t, given that 2*t**5/3 + 22*t**4/3 + 34*t**3/3 - 166*t**2/3 - 156*t - 96 = 0.
-8, -3, -2, -1, 3
Let -2*m**3/11 + 152*m**2/11 - 1206*m/11 = 0. Calculate m.
0, 9, 67
Suppose -9*n**3/5 + 57*n**2/5 - 24*n/5 - 48 = 0. Calculate n.
-5/3, 4
Factor -2*r**2 - 212*r - 210.
-2*(r + 1)*(r + 105)
Factor -52*m**2 + 472*m - 36.
-4*(m - 9)*(13*m - 1)
Suppose g**2 - 11*g - 350 = 0. Calculate g.
-14, 25
Factor -2*z**3/15 - 128*z**2/15 + 26*z/3.
-2*z*(z - 1)*(z + 65)/15
Let -4*w**5 - 124*w**4 - 220*w**3 + 348*w**2 = 0. Calculate w.
-29, -3, 0, 1
Factor 2*u**3/3 + 20*u**2/3 + 32*u/3.
2*u*(u + 2)*(u + 8)/3
Let 4*y**2 + 84*y - 1960 = 0. What is y?
-35, 14
Factor 2*d**4/5 - 366*d**3/5 + 22326*d**2/5 - 453962*d/5.
2*d*(d - 61)**3/5
Suppose 6*n**2 + 92*n + 342 = 0. Calculate n.
-9, -19/3
Solve 4*f**5 + 16*f**4 - 16*f**3 - 64*f**2 = 0.
-4, -2, 0, 2
Determine y so that -13*y**2/4 - 83*y = 0.
-332/13, 0
Solve 21*i**4/4 - 8619*i**3/4 - 7743*i**2 - 8067*i - 2484 = 0 for i.
-2, -1, -4/7, 414
Factor -4*r**2 - 50304*r - 158155776.
-4*(r + 6288)**2
Suppose 2*s**4 - 35*s**3/4 + 11*s**2 - 3*s = 0. What is s?
0, 3/8, 2
Suppose -t**5/4 - 8*t**4 - 55*t**3 + 305*t**2/2 + 221*t/4 - 289/2 = 0. What is t?
-17, -1, 1, 2
Factor -2*t**2/13 - 8972*t/13 - 10062098/13.
-2*(t + 2243)**2/13
Solve -5*s**2 + 160*s + 165 = 0.
-1, 33
Suppose 3*j**4/2 + 75*j**3/2 + 126*j**2 = 0. Calculate j.
-21, -4, 0
Factor -1116*v**3 - 2228*v**2 + 8*v.
-4*v*(v + 2)*(279*v - 1)
Factor m**3 + 11*m**2 + 24*m.
m*(m + 3)*(m + 8)
Find c such that 3*c**4 + 9*c**3 - 114*c**2 + 72*c + 192 = 0.
-8, -1, 2, 4
What is j in 4*j**2/5 - 3584*j/5 + 716 = 0?
1, 895
Determine b, given that -2*b**4/7 - 2*b**3/7 + 12*b**2/7 = 0.
-3, 0, 2
Factor 3*p**4/5 - 21*p**3/5 - 3*p**2/5 + 21*p/5.
3*p*(p - 7)*(p - 1)*(p + 1)/5
Factor -2*a**4 - 44*a**3 + 50*a**2 + 92*a.
-2*a*(a - 2)*(a + 1)*(a + 23)
Factor v**2/7 - 38*v + 2527.
(v - 133)**2/7
Factor 5*i**2 + 425*i + 830.
5*(i + 2)*(i + 83)
Find n such that -53*n**2 + 10*n = 0.
0, 10/53
Factor q**2/3 - 17*q/3 + 24.
(q - 9)*(q - 8)/3
Factor 2*v**4/3 - 38*v**3 + 74*v**2 - 110*v/3.
2*v*(v - 55)*(v - 1)**2/3
Find s, given that -s**3 + 24*s**2 + 27*s - 50 = 0.
-2, 1, 25
Let -4*x**4 + 104*x**3 - 100*x**2 = 0. Calculate x.
0, 1, 25
Factor -4*y**5 - 128*y**4 - 1024*y**3.
-4*y**3*(y + 16)**2
Find q, given that 2*q**3/9 + 50*q**2/9 - 226*q/9 + 58/3 = 0.
-29, 1, 3
Determine a so that -4*a**5/5 - 48*a**4 - 3596*a**3/5 + 48*