5*k**4 - 50*k**3 + 915*k**2 + 5200*k - 54080 = 0.
-13, 8
Suppose 285*i**2/2 - 291*i/2 + 3 = 0. What is i?
2/95, 1
Factor 2*s**4/9 - 4*s**3/9 - 10*s**2/9 + 4*s/3.
2*s*(s - 3)*(s - 1)*(s + 2)/9
Factor n**4/5 + 18*n**3 + 264*n**2/5 + 262*n/5 + 87/5.
(n + 1)**3*(n + 87)/5
Find m, given that 5*m**4 + 330*m**3 + 5440*m**2 - 330*m - 5445 = 0.
-33, -1, 1
Find v such that 4*v**3/7 + 1016*v**2/7 + 63488*v/7 - 131072/7 = 0.
-128, 2
Suppose -2*g**4 - 72*g**3 - 394*g**2 + 4620*g - 7056 = 0. Calculate g.
-21, 2, 4
Solve -i**4/3 - 5*i**3 - 16*i**2 + 64*i/3 = 0 for i.
-8, 0, 1
Find m, given that -100*m**3 + 420*m**2 - 396*m + 108 = 0.
3/5, 3
Factor 3*n**4/5 - 3*n**3/5 - 9*n**2/5 + 3*n/5 + 6/5.
3*(n - 2)*(n - 1)*(n + 1)**2/5
Factor -2*x**2 + 734*x + 736.
-2*(x - 368)*(x + 1)
Factor -4*x**5/5 + 24*x**3/5 + 32*x**2/5 + 12*x/5.
-4*x*(x - 3)*(x + 1)**3/5
Factor 4*a**2 - 124*a + 432.
4*(a - 27)*(a - 4)
Suppose -12*q**5 + 388*q**4 - 3200*q**3 + 1024*q**2 = 0. What is q?
0, 1/3, 16
Determine u so that -u**4/6 + 17*u**3/6 - 15*u**2/2 + 43*u/6 - 7/3 = 0.
1, 14
Factor 2*x**2/3 + 40*x/3 + 24.
2*(x + 2)*(x + 18)/3
Factor -5*y**5 + 130*y**4 - 360*y**3 + 350*y**2 - 115*y.
-5*y*(y - 23)*(y - 1)**3
Determine g, given that 5*g**3 + 140*g**2 + 980*g = 0.
-14, 0
Determine d, given that -5*d**4 + 5*d**3 + 555*d**2 - 5*d - 550 = 0.
-10, -1, 1, 11
Factor 4*s**3 - 44*s**2 + 156*s - 180.
4*(s - 5)*(s - 3)**2
Factor -26*a**2 + 3*a/2.
-a*(52*a - 3)/2
Let 9*y**4/2 - 15*y**3/2 - 4*y**2 + 2*y = 0. Calculate y.
-2/3, 0, 1/3, 2
Find j such that -j**5 + 233*j**4 - 13687*j**3 + 13223*j**2 + 13688*j - 13456 = 0.
-1, 1, 116
Suppose -2*f**3/7 - 44*f**2/7 - 30*f - 288/7 = 0. What is f?
-16, -3
Let -5*a**5 - 102*a**4 + 290*a**3 - 208*a**2 - 21*a + 46 = 0. Calculate a.
-23, -2/5, 1
Let 15*j**5 - 445*j**4 + 2990*j**3 - 5580*j**2 + 2520*j = 0. What is j?
0, 2/3, 2, 6, 21
Solve t**4 + 28*t**3 + 286*t**2 + 1260*t + 2025 = 0.
-9, -5
Factor 2*n**5 + 342*n**4 - 4664*n**3 + 21856*n**2 - 41088*n + 23552.
2*(n - 4)**3*(n - 1)*(n + 184)
Factor -4*r**5 - 40*r**4 - 120*r**3 - 160*r**2 - 100*r - 24.
-4*(r + 1)**4*(r + 6)
What is x in 4*x**5/5 - 166*x**4/5 + 1498*x**3/5 + 4748*x**2/5 + 1144*x/5 - 1936/5 = 0?
-2, -1, 1/2, 22
Solve 5*m**5 - 215*m**4 + 990*m**3 - 1540*m**2 + 760*m = 0 for m.
0, 1, 2, 38
Determine w, given that 4*w**4 + 148*w**3 + 1716*w**2 + 4732*w - 17576 = 0.
-13, 2
Let -3*a**2 - 147*a - 540 = 0. What is a?
-45, -4
Factor -j**2/2 - 15*j - 29/2.
-(j + 1)*(j + 29)/2
Factor 3*m**2 - 3*m - 330.
3*(m - 11)*(m + 10)
Suppose -5*f**2 + 1005*f - 1000 = 0. Calculate f.
1, 200
Factor 4*i**3/5 - 312*i**2/5 - 2704*i/5 - 4128/5.
4*(i - 86)*(i + 2)*(i + 6)/5
Factor 4*t**2 + 13832*t + 11957764.
4*(t + 1729)**2
Suppose -3*k**4/5 + 12*k**3/5 + 3*k**2/5 - 12*k/5 = 0. What is k?
-1, 0, 1, 4
Find u such that 5*u**2 + 60*u + 180 = 0.
-6
What is l in -5*l**4 - 55*l**3 - 60*l**2 + 900*l + 2160 = 0?
-6, -3, 4
Factor 2*z**2/5 - 142*z/5 - 120.
2*(z - 75)*(z + 4)/5
Suppose t**5 - 7*t**4 - 96*t**3 - 328*t**2 - 464*t - 240 = 0. What is t?
-2, 15
Suppose y**2/8 - 5*y/8 + 3/4 = 0. What is y?
2, 3
Solve -4*d**2 + 156*d = 0.
0, 39
Factor -4*k**4 + 304*k**3 - 6352*k**2 + 21888*k - 20736.
-4*(k - 36)**2*(k - 2)**2
Solve 2*x**2/5 + 238*x/5 + 236/5 = 0 for x.
-118, -1
Factor 3*n**3/2 + 42*n**2 + 735*n/2 + 1029.
3*(n + 7)**2*(n + 14)/2
Suppose -2*i**2/19 - 50*i/19 - 308/19 = 0. What is i?
-14, -11
Factor 3*x**2/2 + 531*x - 1068.
3*(x - 2)*(x + 356)/2
Factor 4*y**4 + 16*y**3 - 84*y**2 + 16*y + 112.
4*(y - 2)**2*(y + 1)*(y + 7)
Factor 2*c**5/15 + 4*c**4/5 - 64*c**2/15.
2*c**2*(c - 2)*(c + 4)**2/15
Factor -c**2/5 + 29*c - 144/5.
-(c - 144)*(c - 1)/5
Determine x, given that -2*x**5 - 6*x**4 + 26*x**3 + 30*x**2 = 0.
-5, -1, 0, 3
Find h, given that -3*h**5 - 231*h**4 - 1485*h**3 - 1029*h**2 + 1488*h + 1260 = 0.
-70, -6, -1, 1
Determine p so that -3*p**4/7 - 48*p**3 - 3438*p**2/7 - 10680*p/7 - 7575/7 = 0.
-101, -5, -1
Factor h**3/5 + 113*h**2 - 4*h/5 - 452.
(h - 2)*(h + 2)*(h + 565)/5
Factor 75*h**5 + 210*h**4 + 207*h**3 + 84*h**2 + 12*h.
3*h*(h + 1)**2*(5*h + 2)**2
Factor -l**5 + 17*l**4 - 66*l**3 + 68*l**2 + 56*l - 96.
-(l - 12)*(l - 2)**3*(l + 1)
Let -2*y**3 + 44*y**2 + 94*y + 48 = 0. Calculate y.
-1, 24
Factor -21*u**3 - 198*u**2 - 405*u + 300.
-3*(u + 5)**2*(7*u - 4)
Factor -f**2/10 - 106*f - 1059/10.
-(f + 1)*(f + 1059)/10
Find w, given that -4*w**4 - 88*w**3 - 148*w**2 + 240*w = 0.
-20, -3, 0, 1
Factor -b**3/4 - 3*b**2/4 + 4*b - 3.
-(b - 2)*(b - 1)*(b + 6)/4
Let 2*a**5/11 - 12*a**4/11 + 10*a**3/11 + 32*a**2/11 - 24*a/11 - 32/11 = 0. What is a?
-1, 2, 4
Find t such that 5*t**3 + 690*t**2 - 2105*t + 1410 = 0.
-141, 1, 2
Factor -4*z**2 + 36*z + 40.
-4*(z - 10)*(z + 1)
Find x, given that x**3 + 6*x**2 + 9*x + 4 = 0.
-4, -1
Factor -l**3/5 - l**2/5 + 16*l/5 - 4.
-(l - 2)**2*(l + 5)/5
Determine o, given that -o**4/8 + 15*o**3/8 + 71*o**2/8 + 93*o/8 + 19/4 = 0.
-2, -1, 19
Suppose -22*l**3/19 - 8*l**2/19 + 104*l/19 = 0. What is l?
-26/11, 0, 2
Find r, given that -2*r**3/5 - 2*r**2 + 2*r/5 + 2 = 0.
-5, -1, 1
Determine h, given that 3*h**4/2 + 12*h**3 - 57*h**2/2 + 15*h = 0.
-10, 0, 1
Determine s, given that 4*s**5/5 - 2*s**4/5 - 10*s**3 + 88*s**2/5 - 8*s/5 - 32/5 = 0.
-4, -1/2, 1, 2
Factor 2*c**2/15 - 3904*c/15 + 1905152/15.
2*(c - 976)**2/15
Factor 15*c**4 + 370*c**3 + 1205*c**2 + 1050*c.
5*c*(c + 2)*(c + 21)*(3*c + 5)
Solve -m**3/4 + 3*m**2/4 + 9*m/4 - 27/4 = 0.
-3, 3
Factor -h**4/4 - 81*h**3/4 - 1423*h**2/4 + 8901*h/4 - 1849.
-(h - 4)*(h - 1)*(h + 43)**2/4
Find p, given that -2*p**3/9 - 412*p**2/9 - 20800*p/9 + 43264/9 = 0.
-104, 2
Suppose -5*m**3 + 70*m**2 + 255*m = 0. What is m?
-3, 0, 17
Solve 2*j**4 + 200*j**3 + 4788*j**2 - 11016*j - 15606 = 0 for j.
-51, -1, 3
What is g in -3*g**4 + 18*g**3 - 24*g**2 = 0?
0, 2, 4
Factor -4*u**2 - 28*u - 40.
-4*(u + 2)*(u + 5)
Factor 27*t**3 + 222*t**2 + 480*t + 96.
3*(t + 4)**2*(9*t + 2)
Factor -4*f**5 + 108*f**4 + 5940*f**3 + 51300*f**2.
-4*f**2*(f - 57)*(f + 15)**2
Factor 24*k**3/5 - 3177*k**2/5 + 1188*k/5.
3*k*(k - 132)*(8*k - 3)/5
Let 5*d**3 + 175*d**2 + 160*d - 340 = 0. What is d?
-34, -2, 1
Solve 3*p**2 + 2280*p = 0 for p.
-760, 0
Factor -2*w**4/11 + 568*w**3/11 - 566*w**2/11.
-2*w**2*(w - 283)*(w - 1)/11
Find r such that 5*r**2 - 5290*r - 5295 = 0.
-1, 1059
Factor 3*u**2 - 39*u + 90.
3*(u - 10)*(u - 3)
Factor 2*n**2 + 74*n.
2*n*(n + 37)
Find f such that 15*f**4 + 835*f**3 + 1355*f**2 + 265*f - 270 = 0.
-54, -1, 1/3
Suppose 2*w**4/11 - 576*w**3/11 + 42044*w**2/11 - 7488*w + 3718 = 0. Calculate w.
1, 143
Let y**2/2 + 171*y + 29241/2 = 0. Calculate y.
-171
Factor -b**4 - 17*b**3 + 126*b**2 - 268*b + 184.
-(b - 2)**3*(b + 23)
Factor 10*w**2/13 + 11016*w/13 - 4408/13.
2*(w + 1102)*(5*w - 2)/13
Solve -4*u**5 + 64*u**4 - 252*u**3 = 0 for u.
0, 7, 9
Factor -3*l**4/4 - 900*l**3 - 360000*l**2 - 48000000*l.
-3*l*(l + 400)**3/4
What is t in 2*t**4/11 - 24*t**2/11 - 32*t/11 = 0?
-2, 0, 4
What is q in q**4/2 + 33*q**3/2 + 277*q**2/2 + 795*q/2 + 275 = 0?
-22, -5, -1
Determine s so that 2*s**4/9 + 56*s**3/3 + 164*s**2/9 - 56*s/3 - 166/9 = 0.
-83, -1, 1
Let 2*l**4/17 - 4*l**3/17 - 78*l**2/17 + 80*l/17 + 800/17 = 0. What is l?
-4, 5
Find x such that 3*x**4/2 - 111*x**3/2 - 903*x**2 - 3546*x - 2700 = 0.
-6, -1, 50
Factor 2*c**3/3 + 98*c**2 + 1484*c + 4160/3.
2*(c + 1)*(c + 16)*(c + 130)/3
Factor -3*i**3 + 9*i**2 + 3*i - 9.
-3*(i - 3)*(i - 1)*(i + 1)
Factor 3*w**2 + 2700*w.
3*w*(w + 900)
Factor -2*u**4/7 + 2*u**2/7.
-2*u**2*(u - 1)*(u + 1)/7
Solve 6*b**5 - 8*b**4 - 122*b**3 - 244*b**2 - 184*b - 48 = 0.
-2, -1, -2/3, 6
Solve -6*h**5/7 + 29*h**4/7 - 50*h**3/7 + 37*h**2/7 - 10*h/7 = 0.
0, 5/6, 1, 2
Find s such that s**2 - 28*s - 245 = 0.
-7, 35
Determine q, given that -q**2/4 - 55*q/4 + 14 = 0.
-56, 1
Solve -5*h**5 + 185*h**4 - 2095*h**3 + 6835*h**2 - 2400*h - 11520 = 0 for h.
-1, 3, 16
Solve -2*o**5 - 13*o**4 + 35*o**2 - 8*o - 12 = 0.
-6, -2, -1/2, 1
Factor 2*r**3/7 - 144*r**2/7 - 2*r/7 + 144/7.
2*(r - 72)*(r - 1)*(r + 1)/7
Find q, given that 28*q**2 + 132*q - 40 = 0.
-5, 2/7
Factor 2*j**4 + 8*j**3 - 60*j**2 - 136*j - 70.
2*(j - 5)*(j + 1)**2*(j + 7)
Determine b, given that -b**4/5 + 2*b**3/5 + 11*b**2/5 - 12*b/5 = 0.
-3, 0, 1, 4
Factor 4*j**4 + 8*j**3 - 156*j**2 + 272*j - 128.
4*(j - 4)*(j - 1)**2*(j + 8)
Factor 