+ 1)**2/10
Find i such that i**2/4 + 23*i + 529 = 0.
-46
Suppose 2*b**3/9 + 74*b**2/9 - 788*b/9 + 1840/9 = 0. Calculate b.
-46, 4, 5
Find b, given that -16*b**3 + 8484*b**2 - 1125720*b + 280900 = 0.
1/4, 265
Solve 15*u**3 - 606*u**2 + 825*u - 234 = 0.
2/5, 1, 39
Suppose -4*a**5 + 36*a**4 + 60*a**3 - 1300*a**2 + 3000*a = 0. What is a?
-6, 0, 5
Factor -2*s**3/15 + 12*s**2/5 + 56*s/5 + 176/15.
-2*(s - 22)*(s + 2)**2/15
Factor z**3/2 + z**2/2 - 65*z/2 + 63/2.
(z - 7)*(z - 1)*(z + 9)/2
Find y, given that -4*y**3 - 1316*y**2 + 3976*y - 2656 = 0.
-332, 1, 2
Factor 2*f**4 + 16*f**3 - 106*f**2 - 120*f.
2*f*(f - 5)*(f + 1)*(f + 12)
Find t, given that -2*t**3/17 + 2*t**2 - 110*t/17 + 78/17 = 0.
1, 3, 13
Factor -2*y**3/11 + 82*y**2/11 + 8*y - 168/11.
-2*(y - 42)*(y - 1)*(y + 2)/11
What is z in -21*z**5/4 + 159*z**4 - 6753*z**3/4 + 14799*z**2/2 - 12144*z + 2904 = 0?
2/7, 4, 11
Determine l so that -10*l**2/3 - 454*l/3 - 60 = 0.
-45, -2/5
Factor c**2 + 997*c - 1998.
(c - 2)*(c + 999)
Factor -u**4/3 + 3*u**2.
-u**2*(u - 3)*(u + 3)/3
Factor h**2/6 - 4*h + 22/3.
(h - 22)*(h - 2)/6
Factor -4*u**2 - 116*u.
-4*u*(u + 29)
Factor -3*n**3 - 45*n**2 + 12*n + 180.
-3*(n - 2)*(n + 2)*(n + 15)
Suppose r**4/8 + 15*r**3/2 + 477*r**2/4 + 377*r/2 - 2523/8 = 0. What is r?
-29, -3, 1
Factor 629*r**2 + 633*r/2 + 1.
(2*r + 1)*(629*r + 2)/2
Let -2*r**2/7 + 54*r/7 = 0. Calculate r.
0, 27
Factor 2*b**2/9 + 232*b/9 + 6728/9.
2*(b + 58)**2/9
What is g in 2*g**2 + 322*g + 948 = 0?
-158, -3
Let -3*h**3 + 6*h**2 = 0. Calculate h.
0, 2
Factor l**2/6 + 163*l/2 - 491/3.
(l - 2)*(l + 491)/6
Determine c, given that c**4 + 8*c**3 + 18*c**2 + 16*c + 5 = 0.
-5, -1
Let 2*k**5/15 + 2*k**4/5 - 52*k**3/15 - 88*k**2/5 - 80*k/3 - 64/5 = 0. What is k?
-4, -2, -1, 6
Solve 2*u**4/3 + 10*u**3/3 + 2*u**2 - 10*u/3 - 8/3 = 0.
-4, -1, 1
Factor 2*p**4/13 - 74*p**3/13 - 76*p**2/13.
2*p**2*(p - 38)*(p + 1)/13
Solve -u**2 + 3026*u - 2289169 = 0 for u.
1513
Factor -36*n**4 + 168*n**3 - 244*n**2 + 112*n - 16.
-4*(n - 2)**2*(3*n - 1)**2
What is s in -2*s**5/3 + 13*s**4 - 88*s**3/3 + 50*s**2/3 + 6*s - 17/3 = 0?
-1/2, 1, 17
Let -2*p**5 + 62*p**4 + 134*p**3 - 62*p**2 - 132*p = 0. Calculate p.
-2, -1, 0, 1, 33
Find y, given that -4*y**3 + 1536*y**2 - 196608*y + 8388608 = 0.
128
What is w in 2*w**2 - 880*w + 96800 = 0?
220
Factor -m**5 + 652*m**4.
-m**4*(m - 652)
Factor 2*u**4 - 38*u**3 - 406*u**2 - 690*u - 324.
2*(u - 27)*(u + 1)**2*(u + 6)
Suppose 63*q**4 - 246*q**3 - 24*q**2 = 0. Calculate q.
-2/21, 0, 4
Find a, given that 5*a**4 + 610*a**3 + 18600*a**2 - 610*a - 18605 = 0.
-61, -1, 1
Factor y**5 + 4*y**4 - 26*y**3 + 44*y**2 - 31*y + 8.
(y - 1)**4*(y + 8)
Factor 4*i**4/5 - 183*i**3/5 + 414*i**2 + 529*i/5.
i*(i - 23)**2*(4*i + 1)/5
Suppose -18*h**3/7 - 52*h**2 + 298*h/7 + 12 = 0. Calculate h.
-21, -2/9, 1
Let -2*y**5 - 806*y**4 + 810*y**3 + 806*y**2 - 808*y = 0. Calculate y.
-404, -1, 0, 1
Factor 9050*a**2 + 9054*a + 4.
2*(a + 1)*(4525*a + 2)
Factor -2*z**3 + 28*z**2 + 98*z + 68.
-2*(z - 17)*(z + 1)*(z + 2)
Factor 3*w**2/4 - 231*w/4.
3*w*(w - 77)/4
Factor l**2/2 - l - 4.
(l - 4)*(l + 2)/2
Determine y, given that -5*y**3 + 195*y**2 - 2535*y + 10985 = 0.
13
Factor s**5/2 - 18*s**4 + 177*s**3 - 428*s**2 + 789*s/2 - 126.
(s - 21)*(s - 12)*(s - 1)**3/2
Factor g**2/5 - 642*g/5 + 103041/5.
(g - 321)**2/5
Solve -3*k**2 - 135*k - 258 = 0.
-43, -2
Determine t so that 2*t**4 - 40*t**3 + 192*t**2 - 352*t + 224 = 0.
2, 14
Determine m so that 2*m**5 - 100*m**4 + 284*m**3 - 88*m**2 - 286*m + 188 = 0.
-1, 1, 2, 47
Determine y so that -y**3/5 + 26*y**2 - 5568*y/5 + 78336/5 = 0.
34, 48
What is r in -3*r**2/4 - 153*r/2 - 7803/4 = 0?
-51
Factor -5*d**2 + 230*d - 225.
-5*(d - 45)*(d - 1)
Factor -2*a**2/3 + 16*a/3.
-2*a*(a - 8)/3
What is t in 3*t**3/5 - 42*t**2/5 + 147*t/5 = 0?
0, 7
Determine b so that -2*b**5/9 - 8*b**4/3 - 14*b**3/9 + 32*b**2/3 + 88*b/9 = 0.
-11, -2, -1, 0, 2
Factor -2*o**3 - 48*o**2 - 82*o + 132.
-2*(o - 1)*(o + 3)*(o + 22)
What is f in -2*f**3/9 - 64*f**2/9 - 62*f/9 = 0?
-31, -1, 0
Suppose -c**2/2 + 2*c = 0. Calculate c.
0, 4
Factor -169*j**4 + 351*j**3 + 432*j**2 + 108*j.
-j*(j - 3)*(13*j + 6)**2
Suppose 10*o**4 + 6*o**3 - 14*o**2 - 6*o + 4 = 0. What is o?
-1, 2/5, 1
Let 2*n**3 - 22*n**2 + 46*n + 70 = 0. What is n?
-1, 5, 7
Factor 3*k**4 - 295*k**3/3 - 232*k**2 - 140*k/3.
k*(k - 35)*(k + 2)*(9*k + 2)/3
What is y in -y**4 - 233*y**3 - 13686*y**2 - 12992*y + 26912 = 0?
-116, -2, 1
Factor 5*g**5/3 - 25*g**4/3 - 25*g**3/3 + 125*g**2/3 + 200*g/3 + 80/3.
5*(g - 4)**2*(g + 1)**3/3
Determine c so that -5*c**4 - 10*c**3 + 65*c**2 - 50*c = 0.
-5, 0, 1, 2
Determine i so that -70*i**4 + 4745*i**3 + 5860*i**2 + 355*i - 690 = 0.
-1, -1/2, 2/7, 69
Factor -795*o**3 - 785*o**2 + 10*o.
-5*o*(o + 1)*(159*o - 2)
Factor -2*w**4/7 - 52*w**3/7 + 54*w**2/7.
-2*w**2*(w - 1)*(w + 27)/7
Suppose -u**2/8 + 93*u/8 + 245/4 = 0. Calculate u.
-5, 98
Factor -35*b**3 + 45*b**2.
-5*b**2*(7*b - 9)
Determine h, given that h**2/6 + 838*h/3 + 351122/3 = 0.
-838
Factor -m**5 - 9*m**4 - 30*m**3 - 44*m**2 - 24*m.
-m*(m + 2)**3*(m + 3)
Solve -4*r**3/5 - 24*r**2/5 - 32*r/5 = 0.
-4, -2, 0
Find a, given that a**3 - 59*a**2 + 58*a = 0.
0, 1, 58
Determine u so that -u**3 + 147*u**2 - 2403*u + 10449 = 0.
9, 129
Solve t**3 + 2*t**2 - 48*t = 0.
-8, 0, 6
Let -2*d**2/3 - 6*d + 20/3 = 0. Calculate d.
-10, 1
Factor -c**2 + 91*c + 92.
-(c - 92)*(c + 1)
Let -5*n**2 - 180*n = 0. What is n?
-36, 0
Find f, given that 5*f**3 + 35*f**2 + 30*f = 0.
-6, -1, 0
Factor -2*t**4/11 + 6*t**3/11 - 8*t/11.
-2*t*(t - 2)**2*(t + 1)/11
Let 3*c**3 - 27*c**2 + 42*c + 72 = 0. What is c?
-1, 4, 6
Determine a so that -6*a**4/11 + 34*a**3/11 - 48*a**2/11 = 0.
0, 8/3, 3
Factor 2*m**2/3 + 64*m/3 + 350/3.
2*(m + 7)*(m + 25)/3
Suppose -3*q**2 + 177*q + 180 = 0. What is q?
-1, 60
Factor -49*l**4 - 1197*l**3 + 1970*l**2 - 828*l + 104.
-(l - 1)*(l + 26)*(7*l - 2)**2
What is n in 386*n**3 - 3092*n**2 + 6208*n - 64 = 0?
2/193, 4
Factor 2*h**3/11 - 8*h**2/11 + 8*h/11.
2*h*(h - 2)**2/11
Factor s**2 + 142*s - 143.
(s - 1)*(s + 143)
Suppose -9*l**5 + 42*l**4 - 15*l**3 - 42*l**2 + 24*l = 0. Calculate l.
-1, 0, 2/3, 1, 4
Factor -t**2/4 + 2*t + 9/4.
-(t - 9)*(t + 1)/4
Let -15*h**5 + 231*h**4 - 525*h**3 - 2931*h**2 - 1188*h + 972 = 0. Calculate h.
-2, -1, 2/5, 9
Suppose -w**3/10 - 21*w**2 - 1470*w - 34300 = 0. Calculate w.
-70
Find z, given that 57*z**3/5 - 138*z**2 + 2124*z/5 - 216/5 = 0.
2/19, 6
Determine n, given that -3*n**3 + 273*n**2 + 555*n + 279 = 0.
-1, 93
Factor 3*o**3 - 118*o**2 + 152*o.
o*(o - 38)*(3*o - 4)
Factor 3*u**5/2 + 3*u**4 - 9*u**3/2 - 6*u**2 + 6*u.
3*u*(u - 1)**2*(u + 2)**2/2
Determine f so that 128*f**3 + 96*f**2 - 270*f + 100 = 0.
-2, 5/8
Find l, given that -64*l**4/3 - 944*l**3/3 - 228*l**2 - 169*l/3 - 14/3 = 0.
-14, -1/4
Find m such that -5*m**5 + 25*m**4 - 50*m**3 + 50*m**2 - 25*m + 5 = 0.
1
Let 2*h**4/3 + 500*h**3/3 + 31744*h**2/3 + 61504*h/3 = 0. What is h?
-124, -2, 0
Determine s so that -4*s**2/5 - 96*s/5 + 20 = 0.
-25, 1
Factor -3*b**2 - 15*b + 72.
-3*(b - 3)*(b + 8)
Factor 6*p**2/17 + 20*p/17 + 6/17.
2*(p + 3)*(3*p + 1)/17
Let b**2/4 - 233*b/2 + 465/4 = 0. Calculate b.
1, 465
Suppose i**2/11 + 322*i/11 + 321/11 = 0. What is i?
-321, -1
Factor 10*u**3 + 24*u**2 - 232*u - 96.
2*(u - 4)*(u + 6)*(5*u + 2)
Factor -2*w**2/13 + 34*w/13 + 220/13.
-2*(w - 22)*(w + 5)/13
Factor -k**2/2 + 7*k/2 + 4.
-(k - 8)*(k + 1)/2
Find c, given that -c**4/2 + c**3 + 13*c**2/2 - 7*c - 12 = 0.
-3, -1, 2, 4
Determine z so that -28*z**5 - 100*z**4 - 92*z**3 + 4*z**2 + 24*z = 0.
-2, -1, 0, 3/7
Factor 2*l**2/23 - 106*l/23.
2*l*(l - 53)/23
Let -p**3 + 40*p**2 - 231*p = 0. Calculate p.
0, 7, 33
Factor -112*v**2/3 + 13*v - 2/3.
-(7*v - 2)*(16*v - 1)/3
Solve -2*r**5 + 40*r**4 - 138*r**3 + 164*r**2 - 64*r = 0 for r.
0, 1, 2, 16
Determine a so that -2*a**5/11 - 24*a**4/11 + 4*a**3/11 + 48*a**2/11 - 2*a/11 - 24/11 = 0.
-12, -1, 1
Factor 3*l**4 - 48*l**3 - 183*l**2 + 228*l.
3*l*(l - 19)*(l - 1)*(l + 4)
Let 2*k**4/5 - 16*k**3/5 + 8*k**2 - 32*k/5 = 0. Calculate k.
0, 2, 4
Factor -2*c**4 - 136*c**3 + 278*c**2 - 140*c.
-2*c*(c - 1)**2*(c + 70)
Factor r**5/2 - 7*r**4 + 45*r**3/2 + 28*r**2 - 98*r.
r*(r - 7)**2*(r - 2)*(r + 2)/2
Find l such that 5*l**4 - 2*l**3 - 5*l**2 + 2*l = 0.
-1, 0, 2/5, 1
Suppose -4*u**5 - 152*u**4 