 49
Factor -m**4 - 9*m**3 - 15*m**2 - 7*m.
-m*(m + 1)**2*(m + 7)
Let 45*b**3 - 980*b**2 + 1580*b + 400 = 0. What is b?
-2/9, 2, 20
Find d, given that 3*d**5 - 30*d**4 - 132*d**3 + 186*d**2 + 129*d - 156 = 0.
-4, -1, 1, 13
Determine z so that 70*z**5 - 1138*z**4 + 4004*z**3 - 5384*z**2 + 3024*z - 576 = 0.
2/5, 6/7, 1, 2, 12
Factor -4*t**3 + 24*t**2 - 20*t - 48.
-4*(t - 4)*(t - 3)*(t + 1)
Factor a**2 + 13*a + 12.
(a + 1)*(a + 12)
Determine n so that -2*n**4/13 - 2*n**3 - 80*n**2/13 - 72*n/13 = 0.
-9, -2, 0
Find x such that 4*x**4 - 268*x**3 + 4344*x**2 + 5168*x - 9248 = 0.
-2, 1, 34
Determine a so that 60*a**3/13 - 46*a**2/13 + 4*a/13 = 0.
0, 1/10, 2/3
Factor 4*h**4 - 872*h**3 + 47524*h**2.
4*h**2*(h - 109)**2
Factor 2*j**3 - 66*j**2 - 140*j.
2*j*(j - 35)*(j + 2)
Find x, given that -5*x**2 + 2445*x + 2450 = 0.
-1, 490
Determine p, given that -3*p**5 + 16*p**4 - 46*p**3/3 - 16*p**2 - 3*p = 0.
-1/3, 0, 3
Factor -75*v**4 + 310*v**3 - 340*v**2 + 40*v.
-5*v*(v - 2)**2*(15*v - 2)
Solve 5*q**3 - 4310*q**2 + 920125*q + 3749780 = 0 for q.
-4, 433
Determine j so that -2*j**3/5 + 14*j**2/5 = 0.
0, 7
Solve -5*a**5 - 25*a**4 + 60*a**3 + 400*a**2 + 320*a = 0 for a.
-4, -1, 0, 4
Determine a, given that -3*a**2/7 - 132*a/7 - 129/7 = 0.
-43, -1
Solve -5*y**2 + 720 = 0 for y.
-12, 12
Let -w**5/4 - w**4 + 39*w**3/4 + 63*w**2/2 = 0. What is w?
-7, -3, 0, 6
Suppose 4*b**5/7 - 12*b**4/7 - 32*b**3 - 528*b**2/7 - 320*b/7 = 0. Calculate b.
-4, -2, -1, 0, 10
Solve 3*a**2 - 468*a + 18252 = 0 for a.
78
Let -p**3/3 - 20*p**2/3 + 1373*p/3 + 464 = 0. What is p?
-48, -1, 29
Factor -2*p**3/3 + 8*p**2/3 - 2*p/3 - 4.
-2*(p - 3)*(p - 2)*(p + 1)/3
Solve -2*h**5 - 26*h**4 - 16*h**3 + 104*h**2 + 96*h = 0 for h.
-12, -2, -1, 0, 2
Let -q**2/6 - 13*q/6 - 6 = 0. What is q?
-9, -4
Factor -2*f**3/3 - 1714*f**2/3 - 3422*f/3 - 570.
-2*(f + 1)**2*(f + 855)/3
Find n, given that -2*n**3/7 - 12*n**2/7 + 110*n/7 = 0.
-11, 0, 5
Suppose 32*q**3 + 162*q**2 + 264*q + 136 = 0. What is q?
-2, -17/16
Factor 3*n**4 - 21*n**3 - 1710*n**2 - 11232*n + 12960.
3*(n - 30)*(n - 1)*(n + 12)**2
Factor 2*v**2 - 72.
2*(v - 6)*(v + 6)
Solve 5*j**2 + 105*j = 0 for j.
-21, 0
Factor -49*p**3/5 - 707*p**2/5 + 416*p/5 - 12.
-(p + 15)*(7*p - 2)**2/5
Factor 3*s**2/7 + 585*s/7 - 84.
3*(s - 1)*(s + 196)/7
What is d in -3*d**4 - 20*d**3 - 29*d**2 + 12*d = 0?
-4, -3, 0, 1/3
Determine q so that 2*q**2 - 314*q + 2100 = 0.
7, 150
Factor -2*t**4 - 16*t**3 + 116*t**2 + 1360*t + 3150.
-2*(t - 9)*(t + 5)**2*(t + 7)
Factor 2*x**3/5 + 6*x**2 + 112*x/5.
2*x*(x + 7)*(x + 8)/5
Solve 2*v**5/11 - 4*v**4/11 - 48*v**3/11 + 124*v**2/11 + 46*v/11 - 120/11 = 0 for v.
-5, -1, 1, 3, 4
Factor -4*o**2/7 - 1460*o/7 - 208.
-4*(o + 1)*(o + 364)/7
Suppose 48387*w**2 - 3048*w + 48 = 0. Calculate w.
4/127
Determine o, given that 4*o**3 - 3576*o**2 + 1065648*o - 105854368 = 0.
298
Factor 4*g**2/3 - 24*g - 460/3.
4*(g - 23)*(g + 5)/3
Factor -s**2 + 10*s + 24.
-(s - 12)*(s + 2)
Determine s so that -2*s**2 - 550*s = 0.
-275, 0
Solve 3*k**5/2 - 33*k**4/2 + 99*k**3/2 - 111*k**2/2 + 21*k = 0.
0, 1, 2, 7
Factor -z**4/9 + z**3/3 + 4*z**2/9 - 4*z/3.
-z*(z - 3)*(z - 2)*(z + 2)/9
Find m such that 3*m**5/7 + 342*m**4/7 + 1983*m**3/7 + 4248*m**2/7 + 3900*m/7 + 1296/7 = 0.
-108, -2, -1
Factor 15*g**4 + 115*g**3 - 590*g**2 - 440*g.
5*g*(g - 4)*(g + 11)*(3*g + 2)
Suppose -u**4/8 + 41*u**3/4 - 220*u**2 + 400*u = 0. Calculate u.
0, 2, 40
Solve -p**2/3 + 40*p/3 - 76/3 = 0.
2, 38
What is h in -56*h**5/3 + 124*h**4/3 - 24*h**3 - 4*h**2/3 + 8*h/3 = 0?
-2/7, 0, 1/2, 1
Solve -5*p**3 - 10*p**2 + 15*p = 0.
-3, 0, 1
Find x, given that -2*x**2/3 - 20*x = 0.
-30, 0
Solve u**2/6 - 19*u/2 - 155/3 = 0.
-5, 62
Factor 900*k**2 - 898*k - 2.
2*(k - 1)*(450*k + 1)
Factor 5*l**3 - 35*l**2 - 90*l.
5*l*(l - 9)*(l + 2)
Determine y so that 20*y**5 + 88*y**4 - 508*y**3 - 1616*y**2 + 3440*y + 1600 = 0.
-5, -2/5, 2, 4
Factor -4*z**3 - 2*z**2 + 44*z - 48.
-2*(z - 2)*(z + 4)*(2*z - 3)
Find g such that -g**4/2 + 85*g**3/6 - 199*g**2/6 - 431*g/2 + 75 = 0.
-3, 1/3, 6, 25
What is o in 2*o**5 - 26*o**4 + 62*o**3 - 14*o**2 - 64*o + 40 = 0?
-1, 1, 2, 10
Solve g**2 - 1125*g - 1126 = 0.
-1, 1126
Factor 6*z**4 + 39*z**3 - 123*z**2 + 105*z - 27.
3*(z - 1)**2*(z + 9)*(2*z - 1)
Factor -2*h**4/5 - 6*h**3/5.
-2*h**3*(h + 3)/5
Factor 2*p**5 - 22*p**4 + 92*p**3 - 180*p**2 + 162*p - 54.
2*(p - 3)**3*(p - 1)**2
What is j in 4*j**4 + 12*j**3 - 376*j**2 + 768*j + 1152 = 0?
-12, -1, 4, 6
Factor g**3/8 - 31*g**2.
g**2*(g - 248)/8
Suppose 4*i**5/5 - 172*i**4/5 + 2476*i**3/5 - 13732*i**2/5 + 5984*i - 18496/5 = 0. Calculate i.
1, 4, 17
Let -2*p**2/9 - 1520*p/9 - 288800/9 = 0. Calculate p.
-380
What is i in i**5/7 - i**4/7 - 3*i**3/7 + i**2/7 + 2*i/7 = 0?
-1, 0, 1, 2
Find j, given that -500*j**3 - 115600*j**2 - 23105*j - 1155 = 0.
-231, -1/10
Determine a, given that 2*a**2/3 + 6562*a/3 = 0.
-3281, 0
Factor c**3 + 54*c**2.
c**2*(c + 54)
Factor -2*h**5/3 - 14*h**4 - 40*h**3/3.
-2*h**3*(h + 1)*(h + 20)/3
Solve v**5 - 15*v**4 - v**3 + 15*v**2 = 0.
-1, 0, 1, 15
Solve -12*f**3 + 70872*f**2 - 70863*f + 17715 = 0 for f.
1/2, 5905
What is d in 4*d**5 - 12*d**3 + 8*d**2 = 0?
-2, 0, 1
Factor i**2/2 + 205*i/6 + 34/3.
(i + 68)*(3*i + 1)/6
Factor 5*j**2 + 495*j + 970.
5*(j + 2)*(j + 97)
Determine p, given that -p**3/2 + p**2/2 + p = 0.
-1, 0, 2
Suppose 2*y**3/7 - 172*y**2/7 + 1080*y/7 + 128304/7 = 0. What is y?
-22, 54
Factor 4*z**4 - 20*z**3 + 24*z**2 + 16*z - 32.
4*(z - 2)**3*(z + 1)
Suppose -2*u**2/3 + 16*u/3 = 0. Calculate u.
0, 8
Suppose -4*j**4 - 543*j**3 - 396*j**2 + 1213*j - 270 = 0. What is j?
-135, -2, 1/4, 1
Factor -5*g**4 + 360*g**3 - 4430*g**2 - 73800*g - 210125.
-5*(g - 41)**2*(g + 5)**2
Suppose -3*x**2 + 28230*x - 66411075 = 0. Calculate x.
4705
What is k in 21*k**3/4 - 51*k**2 - 15*k = 0?
-2/7, 0, 10
Let -g**3 - 3*g**2 + 4*g = 0. Calculate g.
-4, 0, 1
Factor -d**4 - 44*d**3 - 85*d**2 - 42*d.
-d*(d + 1)**2*(d + 42)
Factor -d**2 - 2762*d - 1907161.
-(d + 1381)**2
What is w in -w**3/9 + 7*w**2/9 + 80*w/9 - 64 = 0?
-9, 8
Factor u**2/5 + 8*u/5 - 4.
(u - 2)*(u + 10)/5
Find g, given that -3*g**5/2 + 3*g**4/2 + 9*g**3 - 21*g**2 + 33*g/2 - 9/2 = 0.
-3, 1
Solve -3*j**2/2 + 15*j/2 + 21 = 0 for j.
-2, 7
Solve 2*t**5/23 - 30*t**4/23 + 146*t**3/23 - 306*t**2/23 + 284*t/23 - 96/23 = 0 for t.
1, 2, 3, 8
Determine a so that 58*a**4/5 + 8*a**3/5 - 58*a**2/5 - 8*a/5 = 0.
-1, -4/29, 0, 1
Let o**2/2 - 13*o + 24 = 0. What is o?
2, 24
Determine k, given that -4*k**3 - 8*k**2 - 4*k = 0.
-1, 0
Let c**2/4 + 3464*c + 11999296 = 0. Calculate c.
-6928
Factor 45*v**3 - 3300*v**2 + 1085*v + 730.
5*(v - 73)*(3*v - 2)*(3*v + 1)
Factor 2*r**2/11 - 4*r + 42/11.
2*(r - 21)*(r - 1)/11
Determine k so that 11*k**4/4 + 41*k**3/2 + 131*k**2/4 + 15*k = 0.
-60/11, -1, 0
Factor g**4 + 4*g**3 - 3*g**2 - 10*g + 8.
(g - 1)**2*(g + 2)*(g + 4)
Determine n, given that -2*n**4/5 + 6*n**3/5 - 6*n**2/5 + 2*n/5 = 0.
0, 1
Find p, given that 14*p**5/9 - 118*p**4/3 - 1048*p**3/9 - 152*p**2/3 + 224*p/9 = 0.
-2, -1, 0, 2/7, 28
Find q, given that 3*q**5 + 14*q**4 - 157*q**3 + 76*q**2 + 484*q + 240 = 0.
-10, -1, -2/3, 3, 4
Determine m, given that -3*m**4/5 + 219*m**3/5 - 3879*m**2/5 - 4551*m/5 + 8214/5 = 0.
-2, 1, 37
Find c such that 3*c**5/10 - c**4/10 - 21*c**3/10 + 17*c**2/10 + 9*c/5 - 8/5 = 0.
-8/3, -1, 1, 2
Factor 2*o**2/5 + 3892*o/5 + 1893458/5.
2*(o + 973)**2/5
Find q, given that -25*q**2 + 6120*q - 374544 = 0.
612/5
Factor n**3/7 - n**2/7 - 25*n/7 + 25/7.
(n - 5)*(n - 1)*(n + 5)/7
Solve 3*m**2/5 + 3*m + 18/5 = 0.
-3, -2
Find a such that 68*a**2/15 + 2*a/15 = 0.
-1/34, 0
Let -s**5/2 - 2*s**4 - 2*s**3 = 0. What is s?
-2, 0
Factor 3*b**3/7 - 27*b**2/7 + 18*b/7 + 48/7.
3*(b - 8)*(b - 2)*(b + 1)/7
Factor -3*l**3/4 - 345*l**2/4 - 12201*l/4 - 122451/4.
-3*(l + 17)*(l + 49)**2/4
Suppose -5*s**5 + 1465*s**4/4 - 29065*s**3/4 + 80675*s**2/4 - 18375*s/4 = 0. What is s?
0, 1/4, 3, 35
Factor -7*x**3 + 160*x**2 - 817*x - 120.
-(x - 15)*(x - 8)*(7*x + 1)
Factor -2*o**3 - 298*o**2 + 2*o + 298.
-2*(o - 1)*(o + 1)*(o + 149)
Factor -4*f**4 + 648*f**3 + 4*f**2 - 648*f.
-4*f*(f - 162)*(f - 1)*(f + 1)
Factor 2*n**4 + 3340*n**3 + 1401114*n**2 + 5564440*n + 5551112.
2*(n + 2)**2*(n + 833)**2
Factor -a**3/2 + 12*a**2 - 143*a/2 + 60.
-(a - 15)*(a - 8)*(a - 1)/2
Factor 2*y**3/17 - 40*y**2/17 + 186*y/1