/7 + 12*d/7 - 32/7 = 0.
-8, -2, 1
Suppose 45*l**5 - 55*l**4 - 305*l**3 + 115*l**2 + 260*l - 60 = 0. Calculate l.
-2, -1, 2/9, 1, 3
Suppose -22*u**4 + 1500*u**3 - 4606*u**2 + 3648*u - 520 = 0. What is u?
2/11, 1, 2, 65
Factor 5*w**3/3 - 65*w**2/3 - 50*w.
5*w*(w - 15)*(w + 2)/3
Find g such that -225*g**4 - 460*g**3 + 655*g**2 + 30*g = 0.
-3, -2/45, 0, 1
Let 4*i**4 + 554*i**3 + 18762*i**2 - 29120*i + 9800 = 0. What is i?
-70, 1/2, 1
Let 6*x**2 - 32*x + 42 = 0. Calculate x.
7/3, 3
Determine s so that 2*s**3/11 - 72*s**2/11 + 136*s/11 = 0.
0, 2, 34
Suppose z**2 + 30*z + 225 = 0. Calculate z.
-15
Factor 3*b**4 + 30*b**3 + 75*b**2.
3*b**2*(b + 5)**2
Determine y so that -y**3/2 - 3*y**2/2 + 44*y = 0.
-11, 0, 8
Factor -3*s**5/4 + s**4/4.
-s**4*(3*s - 1)/4
Factor 2*n**3/5 + 76*n**2/5 - 346*n/5 - 84.
2*(n - 5)*(n + 1)*(n + 42)/5
Find n such that 15*n**5 + 310*n**4 - 1680*n**3 - 1350*n**2 + 625*n = 0.
-25, -1, 0, 1/3, 5
Determine t, given that t**2/3 + 80*t/3 + 511/3 = 0.
-73, -7
Factor -k**2 + 26*k - 25.
-(k - 25)*(k - 1)
Factor -2*h**2/9 + 68*h/9.
-2*h*(h - 34)/9
Solve a**2/9 - 140*a/3 = 0.
0, 420
Solve -2*w**3 + 32*w = 0 for w.
-4, 0, 4
What is m in 8*m**4 + 2056*m**3/3 + 16106*m**2/9 + 4720*m/3 + 4150/9 = 0?
-83, -1, -5/6
Find d such that 3*d**3/2 + 21*d**2/2 - 42*d + 30 = 0.
-10, 1, 2
Factor 6*a**2/7 + 21*a + 72/7.
3*(a + 24)*(2*a + 1)/7
Find u such that -5*u**3/2 - 155*u**2 + 635*u/2 - 160 = 0.
-64, 1
Solve 12*u**2 - 2049*u - 513 = 0 for u.
-1/4, 171
Let -j**4 + 87*j**3 - 2067*j**2 + 6437*j + 40344 = 0. Calculate j.
-3, 8, 41
Factor -g**3/9 + 2*g**2/9 + 8*g/3.
-g*(g - 6)*(g + 4)/9
Solve -o**2/4 + 7*o - 27/4 = 0 for o.
1, 27
Let -2*p**3 + 2*p**2 + 4*p = 0. What is p?
-1, 0, 2
What is b in -275*b**2 - 195*b + 20 = 0?
-4/5, 1/11
What is a in 3*a**2/7 - 27*a/7 - 30/7 = 0?
-1, 10
Factor -2*y**4 - 8*y**3 + 64*y**2.
-2*y**2*(y - 4)*(y + 8)
Factor -5*f**4 + 40*f**3 + 210*f**2 - 520*f + 275.
-5*(f - 11)*(f - 1)**2*(f + 5)
Find p, given that -3*p**2/4 + 9*p/4 + 105/2 = 0.
-7, 10
What is b in -2*b**2/5 - 18*b - 252/5 = 0?
-42, -3
Factor a**3 - 259*a**2 - 3773*a - 13377.
(a - 273)*(a + 7)**2
Factor 25*m**3/2 + 1105*m**2 + 2590*m + 860.
5*(m + 2)*(m + 86)*(5*m + 2)/2
What is r in -3*r**5/2 - 607*r**4 - 123217*r**3/2 - 40197*r**2 + 61610*r + 40804 = 0?
-202, -1, -2/3, 1
Determine f, given that f**3/6 + 22*f**2/3 + 242*f/3 = 0.
-22, 0
Find x such that -3*x**3/4 + 267*x**2/2 - 264*x = 0.
0, 2, 176
Factor 2*o**2/5 + 52*o/5 - 384/5.
2*(o - 6)*(o + 32)/5
Find z, given that z**2 + 59*z = 0.
-59, 0
What is c in -3*c**4/7 - 12*c**3/7 + 225*c**2/7 + 474*c/7 + 240/7 = 0?
-10, -1, 8
Find i such that -30*i**5 - 558*i**4 + 4354*i**3/3 - 3758*i**2/3 + 1336*i/3 - 56 = 0.
-21, 1/3, 2/5, 2/3, 1
Solve 2*f**4 + 36*f**3 - 198*f**2 - 3240*f + 16200 = 0 for f.
-15, 6
Solve -4*q**3 + 56*q**2 + 272*q + 288 = 0 for q.
-2, 18
Factor 2*s**5 + 40*s**4 + 294*s**3 + 936*s**2 + 1080*s.
2*s*(s + 3)*(s + 5)*(s + 6)**2
Factor -3*z**2 + 78*z - 507.
-3*(z - 13)**2
Factor c**5/5 - 13*c**4 - 133*c**3/5 - 67*c**2/5.
c**2*(c - 67)*(c + 1)**2/5
Suppose w**5/2 - 83*w**4/2 + 1761*w**3/2 - 1517*w**2/2 - 1681*w = 0. What is w?
-1, 0, 2, 41
Factor 2*t**4 - 16*t**2 + 32.
2*(t - 2)**2*(t + 2)**2
Factor -3*a**5 + 111*a**4 - 210*a**3 - 6*a**2 + 213*a - 105.
-3*(a - 35)*(a - 1)**3*(a + 1)
Determine t, given that -6*t**5/5 + 32*t**4/5 - 52*t**3/5 + 32*t**2/5 - 6*t/5 = 0.
0, 1/3, 1, 3
Let -r**2/6 + 13*r/2 = 0. Calculate r.
0, 39
Factor -w**2/3 + 18*w - 440/3.
-(w - 44)*(w - 10)/3
Factor -6*n**3 + 27*n**2 - 12*n.
-3*n*(n - 4)*(2*n - 1)
Determine y, given that -y**5/2 + 2*y**4 + y**3 - 6*y**2 - 9*y/2 = 0.
-1, 0, 3
Factor -7*p**4 + 22*p**3 - 17*p**2 + 2*p.
-p*(p - 2)*(p - 1)*(7*p - 1)
Suppose 5*k**5 + 75*k**4 + 185*k**3 - 615*k**2 + 350*k = 0. What is k?
-10, -7, 0, 1
Find q such that -968*q**3/9 - 10736*q**2/9 - 970*q/9 - 22/9 = 0.
-11, -1/22
Solve 4*u**4/3 - 26*u**3/3 + 2*u**2/3 + 56*u/3 + 8 = 0 for u.
-1, -1/2, 2, 6
Factor -4*w**3 - 28*w**2 + 4*w + 28.
-4*(w - 1)*(w + 1)*(w + 7)
Suppose -6*c**2 + c = 0. Calculate c.
0, 1/6
Find p, given that -p**2 + 149*p - 994 = 0.
7, 142
Factor -5*h**2 - 155*h - 150.
-5*(h + 1)*(h + 30)
Let -4*v**5 - 132*v**4 - 1148*v**3 - 892*v**2 + 1152*v + 1024 = 0. What is v?
-16, -1, 1
Determine a, given that -4*a**2 + 96*a = 0.
0, 24
Factor -d**4 + 12*d**3 - 21*d**2 + 10*d.
-d*(d - 10)*(d - 1)**2
Factor 3*r**4/4 - 417*r**3 + 2493*r**2/2 - 1245*r + 1659/4.
3*(r - 553)*(r - 1)**3/4
Suppose -3*l**5 + 63*l**4 + 153*l**3 - 327*l**2 - 414*l = 0. Calculate l.
-3, -1, 0, 2, 23
Factor 3*j**4 + 216*j**3 + 3666*j**2 - 7992*j + 4107.
3*(j - 1)**2*(j + 37)**2
Factor -2*v**4 + 6*v**3 + 6*v**2 - 14*v - 12.
-2*(v - 3)*(v - 2)*(v + 1)**2
Factor -4*s**2 + 41600*s - 108160000.
-4*(s - 5200)**2
Let l**2 - 208*l = 0. What is l?
0, 208
Suppose -2*r**3/7 - 20*r**2/7 - 50*r/7 = 0. Calculate r.
-5, 0
Suppose -2*p**2/7 + 142*p/7 = 0. What is p?
0, 71
Solve 3*n**2/4 + 69*n/2 + 1587/4 = 0.
-23
Solve 11*j**2/4 - 74*j + 65 = 0.
10/11, 26
Suppose 3*q**3/2 - 78*q**2 - 330*q - 336 = 0. What is q?
-2, 56
Factor -5*v**2 + 540*v + 2240.
-5*(v - 112)*(v + 4)
Suppose -2*z**3/11 + 270*z**2/11 - 96*z + 1048/11 = 0. What is z?
2, 131
Solve -3*f**3 + 126*f**2 - 1323*f = 0.
0, 21
Factor 5*v**3 + 35*v**2 - 50*v - 80.
5*(v - 2)*(v + 1)*(v + 8)
Solve 2*m**4/17 + 2*m**3/17 - 26*m**2/17 - 2*m/17 + 24/17 = 0 for m.
-4, -1, 1, 3
Factor -2*z**2 - 9800*z - 12005000.
-2*(z + 2450)**2
Factor -4*c**4 - 12*c**3 - 8*c**2.
-4*c**2*(c + 1)*(c + 2)
Suppose -2*a**4 + 34*a**3 - 176*a**2 + 288*a = 0. Calculate a.
0, 4, 9
Factor i**3 - 1421*i**2 - i + 1421.
(i - 1421)*(i - 1)*(i + 1)
Solve -3*m**5/2 - 87*m**4/2 - 225*m**3 - 429*m**2 - 699*m/2 - 207/2 = 0 for m.
-23, -3, -1
Solve -5*k**3 - 190*k**2 - 1800*k - 2880 = 0 for k.
-24, -12, -2
Suppose -2*a**3/5 - 16*a**2/5 - 18*a/5 + 36/5 = 0. What is a?
-6, -3, 1
Let -x**2/8 + 31*x/8 + 205/4 = 0. What is x?
-10, 41
Factor -20*x**5 - 404*x**4 + 336*x**3.
-4*x**3*(x + 21)*(5*x - 4)
Factor r**3/5 + 51*r**2/5 + 867*r/5 + 4913/5.
(r + 17)**3/5
Find r, given that 3*r**2 + 57*r - 546 = 0.
-26, 7
Factor 2*p**2/19 + 3856*p/19 + 1858592/19.
2*(p + 964)**2/19
Factor 3*q**3/2 + 120*q**2 - 1023*q/2 - 630.
3*(q - 5)*(q + 1)*(q + 84)/2
Solve -6*p**2 - 45*p - 21 = 0 for p.
-7, -1/2
Let 2*u**4 + 34*u**3 - 2*u**2 - 34*u = 0. What is u?
-17, -1, 0, 1
Factor -109*m**3 + 106*m**2 + 221*m + 6.
-(m - 2)*(m + 1)*(109*m + 3)
Let 8*u**2/3 - 876*u + 1312/3 = 0. Calculate u.
1/2, 328
Find d, given that 2*d**5/7 - 2*d**3 + 4*d**2/7 + 24*d/7 - 16/7 = 0.
-2, 1, 2
Solve 2*x**2/11 + 2770*x/11 - 252 = 0 for x.
-1386, 1
Factor -2*i**2/17 + 8*i/17 - 6/17.
-2*(i - 3)*(i - 1)/17
Factor 4*q**2 + 1228*q - 3720.
4*(q - 3)*(q + 310)
Factor -4*p**3 + 1012*p**2 - 3000*p.
-4*p*(p - 250)*(p - 3)
Find a, given that 5*a**2 + 85*a = 0.
-17, 0
Find u, given that -4*u**2 - 408*u + 412 = 0.
-103, 1
Factor -35*o**3 - 20*o**2 + 65*o + 50.
-5*(o + 1)**2*(7*o - 10)
Let -2*r**2 + 18*r - 28 = 0. What is r?
2, 7
Factor 4*k**3 - 332*k**2.
4*k**2*(k - 83)
Let 2*p**2 - 1130*p + 1128 = 0. What is p?
1, 564
Factor 35*d**2 + 18*d - 5.
(5*d - 1)*(7*d + 5)
Solve -4*b**2 + 220*b + 224 = 0 for b.
-1, 56
Factor -2*a**2/3 - 16*a/3 - 32/3.
-2*(a + 4)**2/3
What is m in -5*m**2 + 4360*m - 950480 = 0?
436
Factor -5*f**3 - 385*f**2 + 390*f.
-5*f*(f - 1)*(f + 78)
Factor b**2/2 - 93*b/2 - 47.
(b - 94)*(b + 1)/2
Factor 8*x**4/5 + 2*x**3 + 2*x**2/5.
2*x**2*(x + 1)*(4*x + 1)/5
Let -5*t**5/2 - 65*t**4 - 825*t**3/2 - 990*t**2 - 810*t = 0. Calculate t.
-18, -3, -2, 0
Find d, given that 2*d**4/3 + 4*d**3 + 10*d**2/3 = 0.
-5, -1, 0
Let -10*j**5 + 305*j**4 + 3210*j**3 + 4420*j**2 - 12800*j + 4875 = 0. What is j?
-5, 1/2, 1, 39
Find i, given that i**3/3 + 32*i**2/3 - 1484*i/3 + 3920 = 0.
-60, 14
Factor 4*l**2 - 808*l + 40804.
4*(l - 101)**2
Factor v**5/5 + 9*v**4/5 + 6*v**3/5 - 16*v**2/5.
v**2*(v - 1)*(v + 2)*(v + 8)/5
Suppose -3*x**3/4 - 1029*x**2/4 - 2049*x/4 - 1023/4 = 0. What is x?
-341, -1
Factor -d**4/4 + 2*d**3 + 9*d**2/4.
-d**2*(d - 9)*(d + 1)/4
Factor 2*s**2/13 - 3124*s/13 + 1219922/13.
2*(s - 781)**2/13
Factor -5*c**3/2 - 155*c**2/2 - 700*c - 1470.
-5*(c + 3)*(c + 14)**2/2
Factor -w**5 - 47*w**4 - 657*w**3 - 2457*w**2 - 2646*w.
-w*(w + 2)*(w + 3)*(w + 21)**2
Find c, given that 5*c