 11*a/8 + 9/4 = 0. Calculate a.
-2, -1, 1, 9
Factor 2*u**5/5 + 2*u**4/5 - 2*u**3/5 - 2*u**2/5.
2*u**2*(u - 1)*(u + 1)**2/5
Suppose 3*n**2 + 162*n - 165 = 0. Calculate n.
-55, 1
Find b, given that -2*b**4 - 4*b**3 + 58*b**2 + 60*b = 0.
-6, -1, 0, 5
Suppose -22*j**4/5 - 62*j**3/15 + 4*j**2/15 = 0. What is j?
-1, 0, 2/33
Let -3*q**2 - 93*q = 0. What is q?
-31, 0
Determine a, given that 3*a**2/2 + 12*a - 27/2 = 0.
-9, 1
Find v, given that -4*v**4 + 84*v**3 - 156*v**2 + 76*v = 0.
0, 1, 19
Suppose -3*p**2/2 + 165*p/2 - 81 = 0. What is p?
1, 54
Suppose 2*i**4 + 6*i**3 - 54*i**2 + 26*i + 84 = 0. Calculate i.
-7, -1, 2, 3
Factor -z**5/6 + 5*z**4/6 + 13*z**3/6 + 7*z**2/6.
-z**2*(z - 7)*(z + 1)**2/6
Find z, given that 2*z**4/13 - 1096*z**3/13 + 15372*z**2 - 12056040*z/13 - 12256974/13 = 0.
-1, 183
Factor -l**3/3 + 677*l**2/3 - 114920*l/3 + 114244/3.
-(l - 338)**2*(l - 1)/3
Suppose -2*l**5 + 570*l**4/7 - 7480*l**3/7 + 4000*l**2 + 6720*l + 1568 = 0. Calculate l.
-1, -2/7, 14
Factor 100*p**5 + 24*p**4.
4*p**4*(25*p + 6)
Solve -3*b**5 + 3*b**4 + 42*b**3 + 12*b**2 - 120*b - 96 = 0.
-2, -1, 2, 4
Factor -5*n**5 - 485*n**4 + 1990*n**3 - 3010*n**2 + 2015*n - 505.
-5*(n - 1)**4*(n + 101)
Suppose s**4/4 - 4*s**3 - 201*s**2/4 - 145*s - 125 = 0. Calculate s.
-5, -2, 25
Factor -f**4/11 - 8*f**3/11 + 3*f**2/11 + 26*f/11 + 16/11.
-(f - 2)*(f + 1)**2*(f + 8)/11
Factor -8*z**3 + 162*z**2 - 840*z + 200.
-2*(z - 10)**2*(4*z - 1)
Find k, given that 15*k**3/4 - 5*k**2/4 - 135*k/4 + 45/4 = 0.
-3, 1/3, 3
Factor v**2/4 + 12*v + 47/4.
(v + 1)*(v + 47)/4
Factor f**5/3 - 4*f**4 + 38*f**3/3 - 52*f**2/3 + 11*f - 8/3.
(f - 8)*(f - 1)**4/3
Find x, given that 3*x**3 - 594*x**2 + 39204*x - 862488 = 0.
66
Factor 5*q**2 + 1180*q + 69620.
5*(q + 118)**2
Factor 28*h**3 - 200*h**2 + 197*h/7 - 1.
(h - 7)*(14*h - 1)**2/7
Suppose f**5/3 - 28*f**3/3 - 18*f**2 + 9*f + 18 = 0. What is f?
-3, -1, 1, 6
Factor y**2/4 + 33*y/2 - 67/4.
(y - 1)*(y + 67)/4
Solve 4*v**5 + 1424*v**4 + 2836*v**3 + 1416*v**2 = 0.
-354, -1, 0
Factor n**2/2 - 22*n + 114.
(n - 38)*(n - 6)/2
Factor 2*k**3/11 - 280*k**2/11 + 9514*k/11 + 20164/11.
2*(k - 71)**2*(k + 2)/11
Determine a so that -4*a**3 + 48*a**2 + 1008*a - 12544 = 0.
-16, 14
Factor -2*u**4 + 12*u**3 - 10*u**2 - 48*u + 72.
-2*(u - 3)**2*(u - 2)*(u + 2)
Solve -8*b**2 + 4220*b - 6312 = 0.
3/2, 526
Factor 289*z**2 + 8296*z + 59536.
(17*z + 244)**2
Factor -3*j**2/4 + 246*j + 996.
-3*(j - 332)*(j + 4)/4
Find d such that -3*d**5 + 48*d**4 - 120*d**3 + 30*d**2 + 123*d - 78 = 0.
-1, 1, 2, 13
What is v in 20*v**2 + 1352*v - 544 = 0?
-68, 2/5
Factor 4*f**4 - 896*f**3 + 5280*f**2 - 10496*f + 6976.
4*(f - 218)*(f - 2)**3
Find v such that 4*v**2/3 + 808*v/3 + 1568 = 0.
-196, -6
Factor q**2/5 + 107*q - 536/5.
(q - 1)*(q + 536)/5
Factor -a**4 + 29*a**3 + 198*a**2 + 412*a + 280.
-(a - 35)*(a + 2)**3
Determine i, given that -80*i**3 + 27000*i**2 - 13485*i + 1685 = 0.
1/4, 337
Find f, given that 2*f**5 - 14*f**4 + 6*f**3 + 46*f**2 - 64*f + 24 = 0.
-2, 1, 6
Factor -15*y**2 - 1130*y + 760.
-5*(y + 76)*(3*y - 2)
Determine y, given that -2*y**3/17 + 1338*y**2/17 - 298374*y/17 + 22179134/17 = 0.
223
Factor 2*u**2/7 - 216*u - 1514/7.
2*(u - 757)*(u + 1)/7
Factor 9*h**4/4 + 123*h**3/4 + 79*h**2/4 + 13*h/4.
h*(h + 13)*(3*h + 1)**2/4
Find k, given that 2*k**4/3 + 1124*k**3/3 + 166658*k**2/3 + 818272*k + 3179904 = 0.
-273, -8
Determine l, given that -16*l**2/7 + 132*l/7 - 20 = 0.
5/4, 7
Let a**4 + 20*a**3 - 3*a**2 - 58*a + 40 = 0. What is a?
-20, -2, 1
Solve 2*u**3/5 - 12*u**2/5 + 2*u = 0 for u.
0, 1, 5
Suppose -2*u**2/9 + 68*u/9 - 182/3 = 0. Calculate u.
13, 21
Determine l so that -4*l**5/3 - 32*l**4 - 664*l**3/3 - 352*l**2 - 484*l/3 = 0.
-11, -1, 0
What is n in -n**2/3 + 2396*n/3 - 1435204/3 = 0?
1198
Suppose 3*l**5 - 95*l**4 - 790*l**3 + 2620*l**2 - 1368*l = 0. Calculate l.
-9, 0, 2/3, 2, 38
What is i in -3*i**3 + 648*i**2 - 3807*i + 5670 = 0?
3, 210
Determine a so that -a**3 + 675*a + 6750 = 0.
-15, 30
Factor 5*i**3 - 11510*i**2 + 6624005*i.
5*i*(i - 1151)**2
Suppose -5*h**4/3 - 25*h**3/3 - 25*h**2/3 + 25*h/3 + 10 = 0. Calculate h.
-3, -2, -1, 1
What is a in -2*a**5 - 32*a**4 - 126*a**3 = 0?
-9, -7, 0
Suppose -12*n**4 + 49*n**3 - 64*n**2 + 29*n - 2 = 0. Calculate n.
1/12, 1, 2
Suppose a**2 - 468*a + 54756 = 0. Calculate a.
234
Let 2*d**4/15 + 8*d**3/15 + 2*d**2/5 - 8*d/15 - 8/15 = 0. Calculate d.
-2, -1, 1
Solve 5*s**3 - 26665*s**2 + 35564440*s - 35537780 = 0 for s.
1, 2666
Determine f, given that -f**2/7 + 17*f/7 + 138/7 = 0.
-6, 23
Factor -3*u**4/5 + 3*u**3 + 3*u**2/5 - 3*u.
-3*u*(u - 5)*(u - 1)*(u + 1)/5
Factor -3*r**2/4 + 621*r/4 + 156.
-3*(r - 208)*(r + 1)/4
Suppose 81*u**5/4 + 207*u**4/2 + 303*u**3/2 + 69*u**2 - 15*u/4 - 9/2 = 0. What is u?
-3, -1, -1/3, 2/9
Let n**5 + 9*n**4 + 15*n**3 + 7*n**2 = 0. What is n?
-7, -1, 0
Factor w**3 + 3963*w**2 + 5235123*w + 2305199161.
(w + 1321)**3
Factor -45*r**3 - 5*r**2 + 180*r + 20.
-5*(r - 2)*(r + 2)*(9*r + 1)
Suppose 2*k**4 + 42*k**3 + 314*k**2 + 966*k + 980 = 0. Calculate k.
-7, -5, -2
Factor -2*c**5 + 32*c**4 - 176*c**3 + 340*c**2 + 50*c - 500.
-2*(c - 5)**3*(c - 2)*(c + 1)
Factor -4*a**3/11 - 34*a**2/11 + 184*a/11 - 200/11.
-2*(a - 2)**2*(2*a + 25)/11
Find p such that -2*p**4/5 - 868*p**3/15 - 13152*p**2/5 - 36288*p - 23040 = 0.
-60, -24, -2/3
Factor 4*o**2 - 552*o + 3668.
4*(o - 131)*(o - 7)
Determine w so that -2*w**2/5 - 642*w/5 = 0.
-321, 0
Factor -2*j**3/7 + 18*j/7.
-2*j*(j - 3)*(j + 3)/7
Factor -5*g**5 + 50*g**4 - 85*g**3 + 40*g**2.
-5*g**2*(g - 8)*(g - 1)**2
Determine u so that 4*u**4/5 - 6144*u**3/5 + 2359296*u**2/5 = 0.
0, 768
Suppose 2*a**3/5 + 2946*a**2/5 + 1446486*a/5 + 236741542/5 = 0. Calculate a.
-491
Suppose 3*q**4 - 12*q**3 - 3*q**2 + 12*q = 0. Calculate q.
-1, 0, 1, 4
What is m in -2*m**2/3 - 122*m - 364/3 = 0?
-182, -1
Find s such that -30*s**4/19 - 22*s**3/19 + 4*s**2 - 8*s/19 - 16/19 = 0.
-2, -2/5, 2/3, 1
Factor -2*r**5 + 36*r**3 - 162*r.
-2*r*(r - 3)**2*(r + 3)**2
Solve p**2/2 + 5*p + 12 = 0 for p.
-6, -4
Factor -3*p**2 + 270*p - 6075.
-3*(p - 45)**2
Determine h, given that -h**4/2 + 3*h**3 - 7*h**2/2 - 3*h + 4 = 0.
-1, 1, 2, 4
Let -2*q**4/9 + 26*q**3/3 - 96*q**2 + 216*q = 0. Calculate q.
0, 3, 18
Suppose -d**5 + 7*d**4 + 17*d**3 + 9*d**2 = 0. What is d?
-1, 0, 9
Determine c so that 5*c**3 + 120*c**2 + 220*c = 0.
-22, -2, 0
Let 7*t**5/4 - 32*t**4 + 114*t**3 - 128*t**2 + 28*t = 0. What is t?
0, 2/7, 2, 14
Suppose -7*m**4/2 + 421*m**3/2 - 3176*m**2 + 210*m + 3600 = 0. What is m?
-1, 8/7, 30
Find j, given that 25*j**5 - 220*j**4 - 420*j**3 + 3950*j**2 + 8155*j + 1470 = 0.
-3, -2, -1/5, 7
Determine x, given that -x**2 + 832*x - 173056 = 0.
416
Factor -h**3/4 + 19*h**2/4 + 16*h + 11.
-(h - 22)*(h + 1)*(h + 2)/4
Suppose -4*a**2 + 27*a - 18 = 0. What is a?
3/4, 6
Find m, given that 2*m**3 - 76*m**2 + 610*m - 1400 = 0.
5, 28
Factor -j**4/4 + 4*j**3 - 63*j**2/4.
-j**2*(j - 9)*(j - 7)/4
Factor -2*l**4 + 110*l**3.
-2*l**3*(l - 55)
Factor -c**4 + 46*c**3 - 529*c**2.
-c**2*(c - 23)**2
Factor 5*o**5/3 + 290*o**4/3 - 2560*o**3/3 + 1760*o**2.
5*o**2*(o - 4)**2*(o + 66)/3
What is b in -2*b**4/5 + 582*b**2/5 + 1156*b/5 + 576/5 = 0?
-16, -1, 18
Factor -2*a**3 - 6*a**2 + 80*a + 168.
-2*(a - 6)*(a + 2)*(a + 7)
Factor 1331*g**3/3 + 25168*g**2 + 475904*g + 8998912/3.
(11*g + 208)**3/3
Determine l so that -4*l**2 + 60*l - 104 = 0.
2, 13
Solve -2*i**5/9 - 2*i**4 - 38*i**3/9 + 14*i**2/3 + 112*i/9 - 32/3 = 0 for i.
-4, -3, 1
Find g such that -4*g**4 - 32*g**3 - 80*g**2 - 64*g = 0.
-4, -2, 0
Factor 4*h**5 - 44*h**4 + 152*h**3 - 208*h**2 + 96*h.
4*h*(h - 6)*(h - 2)**2*(h - 1)
Determine m, given that -2*m**2/3 - 24*m - 70/3 = 0.
-35, -1
Solve 4*z**3/5 - 16*z**2/5 + 12*z/5 = 0.
0, 1, 3
Determine o, given that 3*o**5 + 60*o**4 + 315*o**3 + 30*o**2 - 1308*o - 1080 = 0.
-10, -9, -2, -1, 2
Factor -a**3 + 21*a**2 + 130*a.
-a*(a - 26)*(a + 5)
Suppose 2*z**3/9 - 650*z**2/9 + 2576*z/9 - 856/3 = 0. Calculate z.
2, 321
Factor -j**2/2 - 947*j/2 - 945.
-(j + 2)*(j + 945)/2
Determine n, given that -3*n**4 - 99*n**3 - 789*n**2 - 2385*n - 2484 = 0.
-23, -4, -3
Factor -n**2 + 35*n - 66.
-(n - 33)*(n - 2)
Determine k so that -3*k**4 + 15*k**3 + 96*k**2 + 108*k = 0.
-2, 0, 9
Find n such that n**2/12 + 53*n/12 - 595/6 = 0.
-70, 17
Factor r**4/3 + 5*r**3/3.
r**3*(r +