38)/11
Determine q, given that 78*q**5/7 - 633*q**4/7 + 930*q**3/7 + 75*q**2 - 144*q + 108/7 = 0.
-1, 3/26, 1, 2, 6
Find s such that s**4/2 - 29*s**3/2 - 15*s**2 = 0.
-1, 0, 30
Find s such that 3*s**2 - 201*s + 390 = 0.
2, 65
Factor -4*c**4/5 - 1831*c**3/5 - 278613*c**2/5 - 13975173*c/5 + 3581577.
-(c + 153)**3*(4*c - 5)/5
Find b such that -2*b**3/7 - 34*b**2 - 8030*b/7 - 54450/7 = 0.
-55, -9
Determine u, given that -2*u**2 - 2330*u + 2332 = 0.
-1166, 1
Determine v so that -6*v**4/13 - 10*v**3/13 + 18*v**2/13 + 42*v/13 + 20/13 = 0.
-5/3, -1, 2
Suppose 4*a**4 + 456*a**3 + 13876*a**2 + 50160*a + 48400 = 0. Calculate a.
-55, -2
Factor -u**4/4 - 7*u**3/4 - 17*u**2/4 - 17*u/4 - 3/2.
-(u + 1)**2*(u + 2)*(u + 3)/4
Let -2*f**2/7 + 424*f/7 - 22472/7 = 0. What is f?
106
Factor 7*m**3/5 - 3*m**2 - 4*m/5 + 12/5.
(m - 2)*(m - 1)*(7*m + 6)/5
Determine h so that h**4/8 + h**3/2 - 419*h**2/2 - 420*h + 88200 = 0.
-30, 28
Factor 3*n**4 - 402*n**3 - 408*n**2 + 402*n + 405.
3*(n - 135)*(n - 1)*(n + 1)**2
Solve -75*o**3/8 + 555*o**2/8 + 1767*o/8 - 14415/8 = 0 for o.
-5, 31/5
Let 4*f**5 - 12*f**4 - 44*f**3 + 60*f**2 + 184*f + 96 = 0. What is f?
-2, -1, 3, 4
Suppose 100*g**4/7 - 114*g**3 - 116*g**2/7 + 114*g + 16/7 = 0. What is g?
-1, -1/50, 1, 8
Factor 2*f**4 - 18*f**3 - 6*f**2 + 50*f + 36.
2*(f - 9)*(f - 2)*(f + 1)**2
Suppose -4*t**2 + 46920*t - 137592900 = 0. Calculate t.
5865
Suppose 180*q**5 - 2308*q**4/3 + 1244*q**3 - 916*q**2 + 832*q/3 - 16 = 0. What is q?
2/27, 1, 6/5
Suppose -2*o**5/7 + 10*o**3/7 - 8*o/7 = 0. Calculate o.
-2, -1, 0, 1, 2
Factor -5*p**5/4 - 145*p**4/4 - 130*p**3 - 125*p**2.
-5*p**2*(p + 2)**2*(p + 25)/4
Determine r, given that 2*r**3/7 + 6*r**2 + 76*r/7 = 0.
-19, -2, 0
Factor 19*o**4/3 - 2*o**3/3 - 19*o**2/3 + 2*o/3.
o*(o - 1)*(o + 1)*(19*o - 2)/3
Factor -2*s**2/7 - 146*s/7 - 144/7.
-2*(s + 1)*(s + 72)/7
Suppose -5*y**2/6 - 1850*y/3 - 342250/3 = 0. Calculate y.
-370
Solve -n**4/3 - 13*n**3/3 + 15*n**2 - 47*n/3 + 16/3 = 0.
-16, 1
Factor 5*k**4 - 195*k**3 - 1070*k**2 - 1320*k.
5*k*(k - 44)*(k + 2)*(k + 3)
Let 51*z**4 - 120*z**3 + 87*z**2 - 18*z = 0. What is z?
0, 6/17, 1
Factor 12*j**4 - 4*j**3.
4*j**3*(3*j - 1)
Find y, given that 2*y**4 - 2*y**3 - 32*y**2 - 40*y = 0.
-2, 0, 5
Factor -1568*j**3/5 - 1008*j**2/5 + 102*j - 10.
-2*(j + 1)*(28*j - 5)**2/5
Factor 2*a**3/7 + 3800*a**2/7 + 1805000*a/7.
2*a*(a + 950)**2/7
Find j, given that 5*j**3 + 280*j**2 - 5*j - 280 = 0.
-56, -1, 1
Solve -178*b**2 - 4*b = 0.
-2/89, 0
Suppose 2*q**4/5 + 112*q**3 + 40302*q**2/5 + 154008*q/5 + 114264/5 = 0. What is q?
-138, -3, -1
Factor -2*h**3 - 3900*h**2 - 2535000*h - 549250000.
-2*(h + 650)**3
Suppose -x**4/3 + 106*x**3/9 - 899*x**2/9 - 76*x + 36 = 0. What is x?
-1, 1/3, 18
Factor 9*c**5/10 - 16*c**4/5 + 21*c**3/5 - 12*c**2/5 + c/2.
c*(c - 1)**3*(9*c - 5)/10
Solve f**3/4 + 7*f**2/4 + 11*f/4 + 5/4 = 0.
-5, -1
Factor o**4/7 + o**3/7 - 59*o**2/7 + 111*o/7 - 54/7.
(o - 6)*(o - 1)**2*(o + 9)/7
Factor -b**3/2 + 147*b**2/2 + b/2 - 147/2.
-(b - 147)*(b - 1)*(b + 1)/2
Find p such that -p**2/3 - p/3 + 2 = 0.
-3, 2
Find t such that 3*t**4/7 - 48*t**3/7 + 195*t**2/7 - 150*t/7 = 0.
0, 1, 5, 10
Factor 2*o**5/7 + 32*o**4/7 - 240*o**3/7 + 512*o**2/7 - 352*o/7.
2*o*(o - 2)**3*(o + 22)/7
Factor 2*r**2/19 - 28*r/19 + 98/19.
2*(r - 7)**2/19
Factor 4*g**3/9 + 20*g**2/3 + 176*g/9.
4*g*(g + 4)*(g + 11)/9
Factor -5*u**2 - 72*u + 45.
-(u + 15)*(5*u - 3)
Suppose -3*o**4 - 147*o**3 - 423*o**2 - 417*o - 138 = 0. What is o?
-46, -1
Factor y**4 - y**2.
y**2*(y - 1)*(y + 1)
Factor 5*i**3 - 130*i**2 - 275*i - 140.
5*(i - 28)*(i + 1)**2
Factor -2*w**3 + 18*w**2 - 52*w + 48.
-2*(w - 4)*(w - 3)*(w - 2)
Let h**3 - 34*h**2 + 27*h + 198 = 0. What is h?
-2, 3, 33
Factor i**5/3 - 7*i**4/3 - 6*i**3 - 2*i**2/3 + 17*i/3 + 3.
(i - 9)*(i - 1)*(i + 1)**3/3
Determine t, given that -185*t**5 + 915*t**4 - 1615*t**3 + 1205*t**2 - 300*t - 20 = 0.
-2/37, 1, 2
Factor 2*x**3/3 + 18*x**2.
2*x**2*(x + 27)/3
Factor 5*c**4 - 340*c**3 - 1790*c**2 - 2540*c - 1095.
5*(c - 73)*(c + 1)**2*(c + 3)
Find y such that -3*y**4 + 84*y**3 - 300*y**2 + 288*y = 0.
0, 2, 24
Suppose m**2 + 15*m + 14 = 0. Calculate m.
-14, -1
Factor 4*v**4 - 44*v**3 + 132*v**2 - 148*v + 56.
4*(v - 7)*(v - 2)*(v - 1)**2
Factor 2*q**3 + 22*q**2 + 56*q.
2*q*(q + 4)*(q + 7)
Factor w**2 + 27*w.
w*(w + 27)
Factor g**3 - 5*g**2 + 7*g - 3.
(g - 3)*(g - 1)**2
Suppose -2*f**3/7 + 18*f**2/7 + 68*f/7 + 48/7 = 0. Calculate f.
-2, -1, 12
Suppose 25*i**5 - 70*i**4 - 40*i**3 + 70*i**2 + 15*i = 0. What is i?
-1, -1/5, 0, 1, 3
Factor 4*d**4/7 + 1556*d**3/7 - 896*d**2 + 6288*d/7.
4*d*(d - 2)**2*(d + 393)/7
Factor -2*m**2/3 + 562*m/3 + 760.
-2*(m - 285)*(m + 4)/3
Factor 35*x**3 - 160*x**2 + 220*x - 80.
5*(x - 2)**2*(7*x - 4)
Solve i**3 - 135*i**2 = 0 for i.
0, 135
Let s**3/5 + 22*s**2/5 + 97*s/5 - 24 = 0. Calculate s.
-15, -8, 1
Find a such that -a**4 - 2*a**3 + 13*a**2 + 38*a + 24 = 0.
-3, -2, -1, 4
Suppose -9*y**3/5 - 300*y**2 - 5397*y/5 - 2934/5 = 0. What is y?
-163, -3, -2/3
Suppose 15*p**4 + 490*p**3 + 4155*p**2 + 2400*p - 1280 = 0. Calculate p.
-16, -1, 1/3
Factor m**3 - 22*m**2 + 28*m + 1176.
(m - 14)**2*(m + 6)
Factor -t**5 - 25*t**4 - 156*t**3.
-t**3*(t + 12)*(t + 13)
Solve 5*s**5/2 - 975*s**4/2 + 955*s**3/2 + 2915*s**2/2 - 480*s - 970 = 0.
-1, 1, 2, 194
Let -4*f**3 - 928*f**2 - 3660*f - 2736 = 0. What is f?
-228, -3, -1
Determine m, given that 4*m**5 + 12*m**4 + 4*m**3 - 12*m**2 - 8*m = 0.
-2, -1, 0, 1
Factor -4*i**2 + 832*i + 4260.
-4*(i - 213)*(i + 5)
Suppose -2*w**4/15 - 86*w**3/15 + 178*w**2/15 - 6*w = 0. Calculate w.
-45, 0, 1
Factor s**2/9 + 77*s/9 + 76/9.
(s + 1)*(s + 76)/9
Factor r**2/9 + 35*r/9 + 34/9.
(r + 1)*(r + 34)/9
Factor -p**3 + 20*p**2 - 79*p + 60.
-(p - 15)*(p - 4)*(p - 1)
Let 2*c**2/7 + 712*c + 443576 = 0. Calculate c.
-1246
Factor k**3/5 + 2*k**2 + 28*k/5 + 24/5.
(k + 2)**2*(k + 6)/5
Factor -4*c**5/3 - 16*c**4/3 - 20*c**3/3 - 8*c**2/3.
-4*c**2*(c + 1)**2*(c + 2)/3
Let -45*a**5 - 600*a**4 + 4540*a**3 - 5990*a**2 - 3615*a + 1710 = 0. Calculate a.
-19, -2/3, 1/3, 3
Find h, given that -3*h**5 + 51*h**4 + 846*h**3 - 942*h**2 - 843*h + 891 = 0.
-11, -1, 1, 27
Factor -2*x**2/7 - 10*x/7 - 8/7.
-2*(x + 1)*(x + 4)/7
Factor m**5/9 - 3*m**4 - 118*m**3/9 - 182*m**2/9 - 41*m/3 - 31/9.
(m - 31)*(m + 1)**4/9
Find y, given that 2*y**3 - 6*y**2 + 4*y = 0.
0, 1, 2
Suppose -3*x**3 + 18639*x**2 - 38601369*x + 26647811733 = 0. Calculate x.
2071
Factor -y**2 + 124*y - 363.
-(y - 121)*(y - 3)
Suppose -i**5/3 + i**4/3 + 2*i**3 + 2*i**2/3 - 5*i/3 - 1 = 0. Calculate i.
-1, 1, 3
Suppose y**4/5 - 17*y**3/5 + 11*y**2/5 + 77*y/5 + 48/5 = 0. Calculate y.
-1, 3, 16
Factor 5*b**2 - 200*b.
5*b*(b - 40)
Determine j, given that 4*j**4 + 56*j**3 + 92*j**2 - 56*j - 96 = 0.
-12, -2, -1, 1
Factor 2*u**5/7 + 2482*u**4/7 + 146556*u**3 + 140887512*u**2/7 - 141915888*u/7.
2*u*(u - 1)*(u + 414)**3/7
Determine b so that 3*b**4 + 111*b**3 - 117*b**2 - 111*b + 114 = 0.
-38, -1, 1
Suppose v**4/9 + 16*v**3/9 + 29*v**2/3 + 20*v + 12 = 0. Calculate v.
-6, -3, -1
Find s, given that 3*s**4/4 - 35*s**3/4 + 51*s**2/4 - 9*s/4 - 5/2 = 0.
-1/3, 1, 10
Find m, given that 2*m**4/3 + 40*m**3/3 - 2*m**2 - 116*m/3 + 80/3 = 0.
-20, -2, 1
Factor -h**4/6 - 3*h**3 + 13*h**2/2 - 10*h/3.
-h*(h - 1)**2*(h + 20)/6
Let -j**4/2 + 105*j**3 - 621*j**2/2 - 2*j + 414 = 0. What is j?
-1, 2, 207
Let 5*z**3 + 1335*z**2 + 118815*z + 3524845 = 0. What is z?
-89
Factor 2*i**3 - 4146*i**2 + 2150736*i - 2146592.
2*(i - 1036)**2*(i - 1)
Factor -2*b**3 + 102*b**2 + 828*b - 928.
-2*(b - 58)*(b - 1)*(b + 8)
Determine l so that 2*l**2 + 4*l - 16 = 0.
-4, 2
Determine r, given that 2*r**3/11 + 90*r**2/11 + 252*r/11 = 0.
-42, -3, 0
Factor -65536000*y**3 + 307200*y**2 - 480*y + 1/4.
-(640*y - 1)**3/4
Determine t, given that t**5 - 26*t**4 + 229*t**3 - 780*t**2 + 900*t = 0.
0, 3, 10
Factor -2*z**3/7 - 446*z**2/7 - 3520*z + 3584.
-2*(z - 1)*(z + 112)**2/7
Suppose -15*f**5 - 130*f**4 - 180*f**3 - 30*f**2 + 35*f = 0. What is f?
-7, -1, 0, 1/3
Suppose 2*h**4 - 4*h**3/3 - 134*h**2/3 + 196*h/3 + 80/3 = 0. Calculate h.
-5, -1/3, 2, 4
Factor 5*i**5 - 65*i**4 - 30*i**3 + 430*i**2 - 535*i + 195.
5*(i - 13)*(i - 1)**3*(i + 3)
Factor 25205*c**2 - 4260*c + 180.
5*(71*c - 6)**2
Determine x so that x**3/8 + 2*x**2 + 41*x/8 + 13/4 = 0.
-13, -2, -1
Fact