+ 2)*(2*m + 15)*(3*m - 2)/3
Suppose -3*n**2/8 - 1299*n/2 - 562467/2 = 0. Calculate n.
-866
Factor -2*k**3/9 + 392*k**2/9 - 130*k/3.
-2*k*(k - 195)*(k - 1)/9
Let v**2 - 148*v + 292 = 0. Calculate v.
2, 146
Factor -2*y**2/9 - 320*y/9 - 12800/9.
-2*(y + 80)**2/9
Suppose 10*w**4 + 74*w**3 - 72*w**2 - 200*w - 64 = 0. What is w?
-8, -1, -2/5, 2
Solve 2*s**5/17 + 18*s**4/17 + 42*s**3/17 + 38*s**2/17 + 12*s/17 = 0.
-6, -1, 0
Factor 5*q**2 - 100*q.
5*q*(q - 20)
Suppose -10*s**4 + 51*s**3 - 75*s**2 + 37*s - 3 = 0. What is s?
1/10, 1, 3
Factor -2*t**3/7 + 56*t.
-2*t*(t - 14)*(t + 14)/7
Factor y**3/4 - 63*y**2 + 5292*y - 148176.
(y - 84)**3/4
Find t such that 5*t**4 - 15*t**3 - 20*t**2 + 60*t = 0.
-2, 0, 2, 3
Factor -f**3 - 52*f**2 + 163*f - 110.
-(f - 2)*(f - 1)*(f + 55)
Factor 2*o**3/3 + 4*o**2 - 6*o - 36.
2*(o - 3)*(o + 3)*(o + 6)/3
Suppose 4*u**2 - 528*u + 17424 = 0. Calculate u.
66
Factor w**3 + 133*w**2 - 270*w.
w*(w - 2)*(w + 135)
Factor -4*o**3/5 + 4*o**2 - 24*o/5.
-4*o*(o - 3)*(o - 2)/5
Factor 2*f**3/9 + 8*f**2.
2*f**2*(f + 36)/9
Solve -2*p**2/7 - 3204*p/7 - 6400/7 = 0.
-1600, -2
Factor -4*o**5 + 8*o**4 + 12*o**3 - 16*o**2 - 16*o.
-4*o*(o - 2)**2*(o + 1)**2
Factor -q**4/2 + 4*q**2 - 8.
-(q - 2)**2*(q + 2)**2/2
Factor 4*p**4 + 44*p**3.
4*p**3*(p + 11)
Factor -n**3/5 + 7*n/5 + 6/5.
-(n - 3)*(n + 1)*(n + 2)/5
Factor 2*g**3 - 176*g**2 + 1154*g - 1620.
2*(g - 81)*(g - 5)*(g - 2)
Factor 4*b**3/7 - 20*b**2/7 + 16*b/7.
4*b*(b - 4)*(b - 1)/7
Find g, given that -g**2/5 + 862*g/5 - 861/5 = 0.
1, 861
Suppose 3*r**4/2 + 21*r**3 - 105*r**2/2 - 72*r = 0. Calculate r.
-16, -1, 0, 3
Suppose -2*s**4 + 4*s**3 + 14*s**2 - 40*s + 24 = 0. What is s?
-3, 1, 2
Factor c**2 + 111*c/4 - 7.
(c + 28)*(4*c - 1)/4
Factor q**5 - 20*q**4 - 237*q**3 - 680*q**2 - 464*q.
q*(q - 29)*(q + 1)*(q + 4)**2
Factor -g**3/3 - 17*g**2 - 33*g - 49/3.
-(g + 1)**2*(g + 49)/3
Factor -u**2/5 - 19*u/5 - 34/5.
-(u + 2)*(u + 17)/5
Let r**4/2 + 11*r**3/2 + 29*r**2/2 - 11*r/2 - 15 = 0. What is r?
-6, -5, -1, 1
Solve -4*f**5/7 - 12*f**4/7 + 12*f**3/7 + 44*f**2/7 + 24*f/7 = 0 for f.
-3, -1, 0, 2
Suppose -484*c**4 + 5500*c**3 - 6792*c**2 + 1936*c - 160 = 0. Calculate c.
2/11, 1, 10
Factor -24*p**3 + 116*p**2 - 124*p - 24.
-4*(p - 3)*(p - 2)*(6*p + 1)
Factor 2*d**4/3 - 6*d**3 + 16*d**2/3.
2*d**2*(d - 8)*(d - 1)/3
Find u such that u**2/9 + 17*u/9 + 22/3 = 0.
-11, -6
Factor 2*s**2/3 + 332*s/3 - 1360/3.
2*(s - 4)*(s + 170)/3
Solve -3*t**2/5 + 78*t/5 + 552 = 0 for t.
-20, 46
Let u**5/6 - 2*u**3/3 = 0. What is u?
-2, 0, 2
Let -b**2/4 - 5*b/2 - 25/4 = 0. What is b?
-5
Determine h, given that h**2 + 69*h/4 - 27/2 = 0.
-18, 3/4
Factor 4*d**4/7 + 64*d**3/7 + 28*d**2 - 264*d/7.
4*d*(d - 1)*(d + 6)*(d + 11)/7
Factor 3*y**2/4 - 153*y/2.
3*y*(y - 102)/4
Solve g**3/3 + g**2 - 12*g + 32/3 = 0.
-8, 1, 4
Determine p so that 28*p**3 + 1588*p**2 - 2080*p + 464 = 0.
-58, 2/7, 1
Factor 4*c**4/3 + 48*c**3 + 752*c**2/3 + 320*c.
4*c*(c + 2)*(c + 4)*(c + 30)/3
Factor i**4 - 3*i**3 + i**2 + 3*i - 2.
(i - 2)*(i - 1)**2*(i + 1)
Factor 4*n**5 + 4*n**4 - 108*n**3 - 308*n**2 - 296*n - 96.
4*(n - 6)*(n + 1)**3*(n + 4)
Suppose f**3 - 30*f**2 + 252*f - 392 = 0. Calculate f.
2, 14
Factor 2*c**2/7 - 10392*c/7 + 13499208/7.
2*(c - 2598)**2/7
Factor -2*s**3/7 - 162*s**2/7 - 3022*s/7 - 2862/7.
-2*(s + 1)*(s + 27)*(s + 53)/7
Factor -2*a**2/9 + 2*a + 44/9.
-2*(a - 11)*(a + 2)/9
Factor -54*d**4/5 - 29484*d**3/5 - 58824*d**2/5 - 39184*d/5 - 8704/5.
-2*(d + 544)*(3*d + 2)**3/5
Find f, given that 2*f**5/13 + 12*f**4/13 - 4*f**3/13 - 24*f**2/13 + 2*f/13 + 12/13 = 0.
-6, -1, 1
Find y, given that 3*y**5 - 6*y**4 - 15*y**3 + 30*y**2 + 12*y - 24 = 0.
-2, -1, 1, 2
Determine x, given that -5*x**4 - 45*x**3 + 380*x + 480 = 0.
-8, -2, 3
Factor z**2 + 133*z - 270.
(z - 2)*(z + 135)
Factor 3*f**3/4 - 2535*f**2/2 + 536784*f - 1068504.
3*(f - 844)**2*(f - 2)/4
Suppose -x**5/6 - 8*x**4/3 + x**3/6 + 8*x**2/3 = 0. Calculate x.
-16, -1, 0, 1
Factor 48*a**4 + 44*a**3 - 100*a**2 + 8*a.
4*a*(a - 1)*(a + 2)*(12*a - 1)
What is q in 9*q**5 + 178*q**4 + 824*q**3 + 1392*q**2 + 656*q - 224 = 0?
-14, -2, 2/9
Determine q so that -2*q**2/3 - 14*q/3 - 8 = 0.
-4, -3
Factor 2*u**5 + 6*u**4 - 4*u**3 - 24*u**2 - 16*u.
2*u*(u - 2)*(u + 1)*(u + 2)**2
What is c in 25*c**3 - 960*c**2 - 2695*c + 1230 = 0?
-3, 2/5, 41
Factor z**2/2 - 113*z + 225/2.
(z - 225)*(z - 1)/2
Suppose 2*u**2/17 + 300*u/17 + 11250/17 = 0. Calculate u.
-75
Suppose -15*u**5 + 5*u**4 + 30*u**3 - 10*u**2 - 15*u + 5 = 0. What is u?
-1, 1/3, 1
Factor -3*d**3 + 2556*d**2 - 5100*d.
-3*d*(d - 850)*(d - 2)
Solve -4*o**2/3 + 5*o/3 = 0.
0, 5/4
Find d, given that 55*d**4 - 10*d**3 - 55*d**2 + 10*d = 0.
-1, 0, 2/11, 1
Determine d so that -2*d**2/21 + 2768*d/21 = 0.
0, 1384
Determine g so that -23*g**4 - 48*g**3 + 88*g**2 + 192*g + 16 = 0.
-2, -2/23, 2
Find h, given that 5*h**5 - 230*h**4 + 215*h**3 + 450*h**2 = 0.
-1, 0, 2, 45
Let 4*l**2/3 - 68*l/3 - 1400 = 0. What is l?
-25, 42
Suppose -a**4/4 - 8*a**3 - 77*a**2 - 196*a = 0. What is a?
-14, -4, 0
Factor 3*k**5 - 2*k**4 - 4*k**3 + 2*k**2 + k.
k*(k - 1)**2*(k + 1)*(3*k + 1)
Let -p**3/5 - p**2/5 + 2*p/5 = 0. What is p?
-2, 0, 1
Factor -n**2 - 6*n + 16.
-(n - 2)*(n + 8)
Determine n so that 3*n**3 + 57*n**2 - 66*n - 120 = 0.
-20, -1, 2
Factor 3*x**3 - 63*x**2 + 1539*x/4 - 1083/2.
3*(x - 2)*(2*x - 19)**2/4
Factor 7*h**4 - 40*h**3 + 72*h**2 - 32*h - 16.
(h - 2)**3*(7*h + 2)
What is k in -3*k**3 - 36*k**2 + 1152*k + 15360 = 0?
-16, 20
Factor 5*l**5 + 20*l**4 + 30*l**3 + 20*l**2 + 5*l.
5*l*(l + 1)**4
Factor -4*g**2 + 144*g - 140.
-4*(g - 35)*(g - 1)
Factor -44*b**3/13 - 1406*b**2/13 - 11200*b/13 + 512/13.
-2*(b + 16)**2*(22*b - 1)/13
Solve 3*q**4 + 12*q**3 - 15*q**2 = 0.
-5, 0, 1
Let 4*p**4 + 100*p**3 + 904*p**2 + 3456*p + 4608 = 0. Calculate p.
-8, -6, -3
Factor -2*a**3 - 562*a**2 + 1130*a - 566.
-2*(a - 1)**2*(a + 283)
What is t in 2*t**5 - 64*t**4 + 530*t**3 + 252*t**2 - 7560*t - 10800 = 0?
-2, 6, 15
Factor 2*c**3/13 + 14*c**2/13 - 16*c/13.
2*c*(c - 1)*(c + 8)/13
Factor -5*k**3/6 - 5*k**2/3 - 5*k/6.
-5*k*(k + 1)**2/6
Factor n**4/3 - 22*n**3/3 - 8*n**2 + 22*n/3 + 23/3.
(n - 23)*(n - 1)*(n + 1)**2/3
Suppose g**2/2 + 138*g + 9522 = 0. What is g?
-138
What is v in 5*v**4 - 27*v**3 - 60*v**2 + 28*v = 0?
-2, 0, 2/5, 7
Let 4*y**2 + 236*y + 456 = 0. What is y?
-57, -2
Solve 2*c**4/15 + 86*c**3/3 + 7486*c**2/5 - 70414*c/15 + 47524/15 = 0.
-109, 1, 2
Factor 2*j**3/7 - 10*j**2/7 - 24*j/7 + 72/7.
2*(j - 6)*(j - 2)*(j + 3)/7
Suppose 10*q**3 + 245*q**2 + 1560*q + 720 = 0. What is q?
-12, -1/2
Let 3*j**5/5 + 252*j**4/5 + 5292*j**3/5 = 0. Calculate j.
-42, 0
Suppose -49*b**4/2 + 77*b**3/2 + 33*b**2 - 26*b + 4 = 0. What is b?
-1, 2/7, 2
Suppose -3*d**4 + 6*d**3 + 36*d**2 + 42*d + 15 = 0. Calculate d.
-1, 5
Suppose -a**4 - 20*a**3 + 253*a**2 - 232*a = 0. What is a?
-29, 0, 1, 8
Find k such that -3*k**2 - 31*k = 0.
-31/3, 0
Factor c**3/3 - 1373*c**2/3.
c**2*(c - 1373)/3
Determine p so that 6*p**5/11 + 72*p**4/11 + 12*p**3 - 288*p**2/11 - 138*p/11 + 216/11 = 0.
-9, -4, -1, 1
Factor -5*c**3 - 10*c**2 + 120*c.
-5*c*(c - 4)*(c + 6)
Determine a, given that -4*a**3 + 984*a**2 - 61488*a + 119072 = 0.
2, 122
Solve 4*w**4 + 24*w**3 - 84*w**2 - 424*w + 480 = 0 for w.
-6, -5, 1, 4
Factor -j**3/8 - 183*j**2/8 - 8811*j/8 - 39605/8.
-(j + 5)*(j + 89)**2/8
Suppose -f**3/5 + 68*f**2/5 + 211*f/5 + 142/5 = 0. What is f?
-2, -1, 71
Let 14*c**5 - 39*c**4 + 33*c**3 - 5*c**2 - 3*c = 0. What is c?
-3/14, 0, 1
Suppose w**2/3 + 11*w/3 - 14 = 0. What is w?
-14, 3
Factor -c**3/4 + 19*c**2/4 + c/4 - 19/4.
-(c - 19)*(c - 1)*(c + 1)/4
Determine f, given that 3*f**5 + 51*f**4 + 129*f**3 - 723*f**2 + 840*f - 300 = 0.
-10, 1
Find b, given that -2*b**5/15 - 8*b**4/15 - 2*b**3/15 + 4*b**2/3 + 8*b/15 - 16/15 = 0.
-2, 1
Find a such that -a**2/9 + 538*a/9 - 179/3 = 0.
1, 537
Let c**5/7 + 15*c**4/7 + 74*c**3/7 + 110*c**2/7 - 75*c/7 - 125/7 = 0. What is c?
-5, -1, 1
Let 5*f**2/3 - 44*f/3 + 32/3 = 0. What is f?
4/5, 8
Find x such that -24*x**4/5 + 14*x**3 - 48*x**2/5 + 8*x/5 = 0.
0, 1/4, 2/3, 2
What is j in -3*j**4 + 9*j**3 + 669*j**2 - 5481*j + 8262 = 0?
-17, 2, 9
Factor 14*s**2 + 1404*s.
2*s*(7*s + 702)
Suppose 2*v**4/9 - 28*v**3/9 + 16*v**2/3 + 28*v - 66 = 0. What is v?
-3, 3, 11
Suppose 35*h**5 + 60*h**4 - 265*h**3 + 210*h**2 - 40*h 