 101
Find n such that -4*n**3 - 148*n**2 - 1440*n - 1296 = 0.
-18, -1
Factor -28*x**4 - 48*x**3 - 12*x**2 + 8*x.
-4*x*(x + 1)**2*(7*x - 2)
Factor -9*f**3 + 156*f**2 - 429*f + 126.
-3*(f - 14)*(f - 3)*(3*f - 1)
Let -u**5/5 - 3*u**4/5 + 6*u**3/5 + 2*u**2 - 21*u/5 + 9/5 = 0. What is u?
-3, 1
Let -10*z**5/7 - 24*z**4/7 + 342*z**3/7 + 20*z**2 = 0. What is z?
-7, -2/5, 0, 5
Factor -5*o**4 + 305*o**3 + 350*o**2 - 2420*o - 3720.
-5*(o - 62)*(o - 3)*(o + 2)**2
Find c, given that 2*c**2 + 92*c + 90 = 0.
-45, -1
Let 4*y**2 + 184*y + 2116 = 0. What is y?
-23
Suppose 25*a**5/3 + 160*a**4/3 + 335*a**3/3 + 260*a**2/3 + 20*a = 0. Calculate a.
-3, -2, -1, -2/5, 0
Factor 2*j**2/11 - 40*j/11 - 42/11.
2*(j - 21)*(j + 1)/11
Factor 5*y**2 + 125*y + 500.
5*(y + 5)*(y + 20)
Let 5*d**5/6 - 10*d**4/3 - 55*d**3/6 + 65*d**2/3 + 70*d/3 - 100/3 = 0. What is d?
-2, 1, 2, 5
Factor -a**4 + 54*a**3 - 468*a**2 + 1256*a - 1056.
-(a - 44)*(a - 6)*(a - 2)**2
Factor 2*h**4/3 - 62*h**3/3 + 448*h**2/3 + 512*h/3.
2*h*(h - 16)**2*(h + 1)/3
Factor -5*d**2 - 3010*d + 18240.
-5*(d - 6)*(d + 608)
Determine l, given that -9*l**3/7 - 33*l**2/7 - 36*l/7 - 12/7 = 0.
-2, -1, -2/3
Factor 4*l**2 - 340*l.
4*l*(l - 85)
Solve -4*u**4 - 60*u**3 - 40*u**2 + 240*u + 224 = 0 for u.
-14, -2, -1, 2
Determine k, given that 9*k**3 + 195*k**2 - 498*k + 144 = 0.
-24, 1/3, 2
Let -c**4/5 + 21*c**3/5 + 3*c**2/5 - 61*c/5 - 42/5 = 0. Calculate c.
-1, 2, 21
Factor 2*v**5/9 + 4*v**4/3 + 8*v**3/3 + 16*v**2/9.
2*v**2*(v + 2)**3/9
Determine a so that 2*a**4 - 54*a**3 - 114*a**2 - 58*a = 0.
-1, 0, 29
Find z such that -z**3/6 - 2*z**2/3 - z/6 + 1 = 0.
-3, -2, 1
Find j, given that -4*j**4 - 12*j**3 + 4*j**2 + 12*j = 0.
-3, -1, 0, 1
Let -2*q**3/7 + 146*q**2/7 - 410*q + 1050 = 0. What is q?
3, 35
Factor -5*r**5 + 25*r**4 + 25*r**3 - 125*r**2 - 200*r - 80.
-5*(r - 4)**2*(r + 1)**3
Factor 5*k**4 - 50*k**3 - 120*k**2.
5*k**2*(k - 12)*(k + 2)
Find s, given that -s**3 - 45*s**2 + 93*s - 47 = 0.
-47, 1
Factor -2*m**2/9 - 742*m/9 - 740/9.
-2*(m + 1)*(m + 370)/9
Let 3*x**4/5 + 6*x**3 + 96*x**2/5 + 96*x/5 = 0. What is x?
-4, -2, 0
Solve -5*b**4 - 185*b**3 + 20*b**2 + 740*b = 0.
-37, -2, 0, 2
What is k in -12*k**5 + 224*k**4 - 1292*k**3 + 2616*k**2 - 896*k - 640 = 0?
-1/3, 1, 4, 10
Solve 9*x**3 - 19761*x**2 + 13171*x - 2195 = 0 for x.
1/3, 2195
Factor -2*l**3/11 - 178*l**2/11.
-2*l**2*(l + 89)/11
Suppose 12*a**4 - 472*a**3 + 2640*a**2 - 4392*a + 1188 = 0. Calculate a.
1/3, 3, 33
Suppose 2*v**3/5 + 4*v**2/15 - 122*v/15 + 8/3 = 0. Calculate v.
-5, 1/3, 4
Determine x, given that 20*x**4 + 3352*x**3 + 1984*x**2 - 3352*x - 2004 = 0.
-167, -1, -3/5, 1
What is f in 4*f**5 + 8*f**4 - 80*f**3 + 96*f**2 = 0?
-6, 0, 2
Factor 2*i**2/11 - 160*i/11.
2*i*(i - 80)/11
Let d**3 + 63*d**2 + 62*d = 0. Calculate d.
-62, -1, 0
Factor -2*w**2/5 + 14*w/5 - 24/5.
-2*(w - 4)*(w - 3)/5
Determine j so that j**3/4 - 13*j**2/2 + 217*j/4 - 147 = 0.
7, 12
Factor 4*p**5/9 + 184*p**4/9 + 2288*p**3/9 + 3872*p**2/9.
4*p**2*(p + 2)*(p + 22)**2/9
Factor 2*d**3 - 19*d**2 + 40*d + 25.
(d - 5)**2*(2*d + 1)
Factor -5*q**5 + 25*q**4 - 45*q**3 + 35*q**2 - 10*q.
-5*q*(q - 2)*(q - 1)**3
Factor -2*x**2/7 - 12*x/7 + 2.
-2*(x - 1)*(x + 7)/7
Suppose s**3/4 - 11*s**2/4 + 31*s/4 - 21/4 = 0. Calculate s.
1, 3, 7
Suppose -4*p**2 - 1644*p + 1648 = 0. What is p?
-412, 1
Factor 12*q**3 - 8*q**2 - 20*q + 16.
4*(q - 1)**2*(3*q + 4)
Let -2*k**3 - 150*k**2 + 1328*k = 0. What is k?
-83, 0, 8
Find v, given that v**2/3 - 9548*v/3 + 22791076/3 = 0.
4774
Let -2*z**5/9 + 70*z**3/9 + 20*z**2 + 112*z/9 = 0. What is z?
-4, -2, -1, 0, 7
Let -d**4/4 - 3*d**3/2 + 27*d**2/4 - d - 9 = 0. What is d?
-9, -1, 2
Let 12*x**5 - 664*x**4 + 11956*x**3 - 73080*x**2 + 81136*x - 19360 = 0. What is x?
1/3, 1, 10, 22
Determine g, given that 5*g**3/6 + 3935*g**2/2 + 2320665*g/2 - 6973805/6 = 0.
-1181, 1
Let 2*b**5/11 + 4*b**4 + 368*b**3/11 + 1440*b**2/11 + 2592*b/11 + 1728/11 = 0. Calculate b.
-6, -2
Find a, given that -4*a**2 - 493*a - 123 = 0.
-123, -1/4
Factor -t**2/7 + 122*t/7 - 3721/7.
-(t - 61)**2/7
Determine d, given that -225*d**4 - 735*d**3 + 395*d**2 + 475*d + 90 = 0.
-18/5, -1/3, 1
Factor 2*n**3/3 - 5*n**2 - 29*n/3 + 6.
(n - 9)*(n + 2)*(2*n - 1)/3
Determine k, given that 3*k**5 + 36*k**4 - 303*k**3 + 396*k**2 + 300*k - 432 = 0.
-18, -1, 1, 2, 4
Factor 749088*f**3/7 + 4496976*f**2/7 + 14690*f/7 + 12/7.
2*(f + 6)*(612*f + 1)**2/7
Factor -2*d**5/7 - 8*d**4/7 + 32*d**2/7 + 32*d/7.
-2*d*(d - 2)*(d + 2)**3/7
Solve -2*t**2/15 + 344*t/15 - 14792/15 = 0 for t.
86
Determine l, given that 8*l**5/7 + 18*l**4 - 120*l**3/7 - 2906*l**2/7 + 516*l - 720/7 = 0.
-15, -6, 1/4, 1, 4
Find m, given that 2*m**5/9 + 106*m**4/3 + 314*m**3/9 - 106*m**2/3 - 316*m/9 = 0.
-158, -1, 0, 1
Factor -4*o**2 + 312*o - 4484.
-4*(o - 59)*(o - 19)
Factor 5*a**4 + 185*a**3 + 930*a**2 - 160*a - 4960.
5*(a - 2)*(a + 4)**2*(a + 31)
Determine w so that 2*w**2/15 + 58*w/5 + 1264/15 = 0.
-79, -8
Factor -95*n**3 + 485*n**2 + 1280*n - 140.
-5*(n - 7)*(n + 2)*(19*n - 2)
Find d such that 6*d**5 + 20*d**4 + 2*d**3 - 12*d**2 = 0.
-3, -1, 0, 2/3
Suppose 33*h**2/5 + 138*h/5 + 144/5 = 0. What is h?
-24/11, -2
Factor 4*q**5 - 24*q**4 - 3*q**3 + 17*q**2 + 6*q.
q*(q - 6)*(q - 1)*(2*q + 1)**2
Factor -2*s**4/3 + 100*s**3/3 - 914*s**2/3 - 2800*s - 4704.
-2*(s - 28)**2*(s + 3)**2/3
Find j, given that 9*j**5 + 156*j**4 + 747*j**3 + 564*j**2 - 756*j = 0.
-9, -7, -2, 0, 2/3
Find y, given that -2*y**3 - 30*y**2 + 152*y = 0.
-19, 0, 4
Suppose 3*k**5 + 45*k**4 - 6*k**3 - 90*k**2 + 3*k + 45 = 0. Calculate k.
-15, -1, 1
Find b, given that -15*b**4/2 + 46*b**3 - 96*b**2 + 72*b - 8 = 0.
2/15, 2
Determine y, given that -9*y**5/2 + 3*y**4/2 + 27*y**3/2 - 27*y**2/2 + 3*y = 0.
-2, 0, 1/3, 1
What is x in -3*x**5 + 6*x**4 + 24*x**3 + 6*x**2 - 21*x - 12 = 0?
-1, 1, 4
Determine k, given that 2*k**5/3 - 10*k**4/3 - 10*k**3/3 + 50*k**2/3 + 8*k/3 - 40/3 = 0.
-2, -1, 1, 2, 5
Let -8*w**3/11 + 6*w**2/11 + 98*w/11 + 24/11 = 0. What is w?
-3, -1/4, 4
Let s**5/3 + 3*s**4 + 9*s**3 + 9*s**2 = 0. Calculate s.
-3, 0
Solve -j**2 + 428*j = 0 for j.
0, 428
Suppose m**2/4 + 13*m + 88 = 0. Calculate m.
-44, -8
Suppose 4*q**2/5 + 76*q/5 = 0. Calculate q.
-19, 0
Find j such that j**5 - 13*j**4 + 55*j**3 - 75*j**2 = 0.
0, 3, 5
Solve -71*s**2/10 + 141*s/10 + 1/5 = 0 for s.
-1/71, 2
Factor w**3 - 260*w**2 + 17157*w - 33282.
(w - 129)**2*(w - 2)
Determine b, given that 45*b**5 - 78*b**4 - 141*b**3 + 306*b**2 - 156*b + 24 = 0.
-2, 1/3, 2/5, 1, 2
Factor -b**2/10 - 186*b/5 - 371/10.
-(b + 1)*(b + 371)/10
Factor 2*m**2 - 98*m.
2*m*(m - 49)
Factor -14*k**2/5 + 228*k/5 - 64/5.
-2*(k - 16)*(7*k - 2)/5
Factor -n**2/7 + 4*n/7 + 5/7.
-(n - 5)*(n + 1)/7
Find s such that -s**5 + 15*s**4 - 19*s**3 - 99*s**2 + 92*s + 156 = 0.
-2, -1, 2, 3, 13
Factor u**3 + 19*u**2 - 20*u.
u*(u - 1)*(u + 20)
Factor -3*q**3/4 - 51*q**2/4 - 45*q/2.
-3*q*(q + 2)*(q + 15)/4
Factor 170368*q**3/3 - 3872*q**2 + 88*q - 2/3.
2*(44*q - 1)**3/3
Suppose -3*v**4/8 + 9*v**3/8 + 69*v**2/8 + 99*v/8 + 21/4 = 0. Calculate v.
-2, -1, 7
Factor 3*j**4/5 + 6*j**3/5 - 3*j**2 - 18*j/5.
3*j*(j - 2)*(j + 1)*(j + 3)/5
Determine b so that 9*b**3 - 12*b**2 - 3*b + 6 = 0.
-2/3, 1
Factor q**3 - 4*q**2 + q + 6.
(q - 3)*(q - 2)*(q + 1)
Find c, given that -5*c**4 + 65*c**3 - 105*c**2 - 425*c - 250 = 0.
-1, 5, 10
Factor -i**2/11 + 358*i/11 - 32041/11.
-(i - 179)**2/11
Factor -4*s**3 - 340*s**2.
-4*s**2*(s + 85)
Factor -2*b**3 - 366*b**2 + 3842*b - 3474.
-2*(b - 9)*(b - 1)*(b + 193)
Factor -5*x**3 - 5*x**2 + 5*x + 5.
-5*(x - 1)*(x + 1)**2
Find i, given that 20*i**4 - 72*i**3 - 412*i**2 - 432*i - 112 = 0.
-2, -1, -2/5, 7
Find w such that -4*w**5 + 1484*w**4 + 5988*w**3 + 4500*w**2 = 0.
-3, -1, 0, 375
Factor -y**4 - 46*y**3 - 212*y**2 - 290*y - 123.
-(y + 1)**2*(y + 3)*(y + 41)
Factor 3*k**2 - 12.
3*(k - 2)*(k + 2)
Factor c**3/3 + 94*c**2/3 - 197*c + 300.
(c - 3)**2*(c + 100)/3
Determine q, given that -2*q**3/13 - 6*q**2/13 + 20*q/13 = 0.
-5, 0, 2
Factor -6*a**4/17 - 20*a**3/17 - 6*a**2/17.
-2*a**2*(a + 3)*(3*a + 1)/17
Factor -2*m**3/3 - 10*m**2 - 24*m.
-2*m*(m + 3)*(m + 12)/3
Factor 7*d**4/2 - d**3 - 7*d**2/2 + d.
d*(d - 1)*(d + 1)*(7*d - 2)/2
Let 2*u**2/11 - 70*u/11 + 192/11 = 0. Calculate u.
3, 32
Suppose y**4 - 4*y**3 + 3*y**2 + 4*y - 4 = 0. Calculate y.
-1, 1, 2
Find b, g