b**3/7 - 166500*b**2 - 19432*b - 784 = 0?
-1, -14/111
Determine m, given that -m**4/6 + 2*m**3/3 - m**2/2 - 2*m/3 + 2/3 = 0.
-1, 1, 2
Determine s so that 15*s**3 + 189*s**2 + 552*s - 252 = 0.
-7, -6, 2/5
Factor -4*z**3 + 200*z**2 + 16*z - 800.
-4*(z - 50)*(z - 2)*(z + 2)
Let 2*f**2 - 82*f + 80 = 0. Calculate f.
1, 40
Solve 3*s**2 - 105*s + 102 = 0 for s.
1, 34
Factor -2*a**3/9 - 58*a**2/9 - 56*a/9.
-2*a*(a + 1)*(a + 28)/9
Factor 4*d**4 - 4*d**3 - 132*d**2 - 252*d.
4*d*(d - 7)*(d + 3)**2
Determine k, given that 4*k**2 - 616*k + 612 = 0.
1, 153
Solve -3*y**3 - 219*y**2 + 447*y - 225 = 0.
-75, 1
Factor b**4/4 + 65*b**3/2 + 129*b**2/4.
b**2*(b + 1)*(b + 129)/4
Factor -2*g**4 - 108*g**3 + 110*g**2.
-2*g**2*(g - 1)*(g + 55)
Factor -10*d**3/3 + 52*d**2/3 - 26*d + 12.
-2*(d - 3)*(d - 1)*(5*d - 6)/3
Suppose 4*k**2 + 400*k - 1236 = 0. Calculate k.
-103, 3
What is j in -4*j**2 - 512*j = 0?
-128, 0
Solve t**5/6 - 17*t**4/3 - 73*t**3/6 + 17*t**2/3 + 12*t = 0 for t.
-2, -1, 0, 1, 36
Factor -3*g**2 + 3*g.
-3*g*(g - 1)
Factor x**4 - 5*x**3 - 8*x**2 + 12*x.
x*(x - 6)*(x - 1)*(x + 2)
Factor 30*o**3 + 185*o**2 - 175*o.
5*o*(o + 7)*(6*o - 5)
Solve z**5/5 - 2*z**4/5 - z**3/5 + 2*z**2/5 = 0.
-1, 0, 1, 2
Find v, given that -15*v**4 + 1295*v**3 - 6595*v**2 + 9345*v - 2430 = 0.
1/3, 2, 3, 81
Factor 4*p**4 + 44*p**3 + 108*p**2 + 100*p + 32.
4*(p + 1)**3*(p + 8)
Suppose 28*n**3 - 8784*n**2 + 6252*n + 2504 = 0. What is n?
-2/7, 1, 313
Factor -2*b**2/17 + 24*b + 410/17.
-2*(b - 205)*(b + 1)/17
Find s, given that 2*s**2 - 1260*s + 198450 = 0.
315
Let v**4/4 - 19*v**3/4 + 123*v**2/4 - 305*v/4 + 50 = 0. What is v?
1, 5, 8
Suppose 5*c**3 + 30*c**2 - 260*c - 600 = 0. What is c?
-10, -2, 6
Solve 2*y**5 + 2*y**4 - 26*y**3 - 2*y**2 + 24*y = 0 for y.
-4, -1, 0, 1, 3
Determine g, given that -5*g**3 + 55*g**2 + 60*g = 0.
-1, 0, 12
Solve -9*o**4/2 - 120*o**3 + 81*o**2/2 = 0 for o.
-27, 0, 1/3
Find y, given that 512*y**4/3 - 64*y**3/3 - 440*y**2 - 1075*y/3 - 250/3 = 0.
-5/8, 2
Factor 3*t**2 + 72*t + 69.
3*(t + 1)*(t + 23)
Factor -2*b**2/11 - 344*b/11 - 14792/11.
-2*(b + 86)**2/11
Suppose -4*x**3/7 - 76*x**2/7 - 20*x - 68/7 = 0. Calculate x.
-17, -1
Determine s so that -5*s**3/3 + 55*s**2/3 - 30*s = 0.
0, 2, 9
Determine g, given that g**5/2 - 23*g**4/2 - 52*g**3 - 54*g**2 = 0.
-2, 0, 27
Let 3*q**3 - 27*q**2/2 - 129*q + 135/2 = 0. Calculate q.
-5, 1/2, 9
Let 5*d**5 + 25*d**4 - 145*d**3 - 725*d**2 + 500*d + 2500 = 0. What is d?
-5, -2, 2, 5
Find w such that 2*w**5/11 - 24*w**4/11 + 40*w**3/11 + 20*w**2 - 42*w/11 - 196/11 = 0.
-2, -1, 1, 7
Find j such that 128*j**2 - 1412*j + 44 = 0.
1/32, 11
Factor 2*r**2/5 + 52*r/5 + 338/5.
2*(r + 13)**2/5
Solve -7*s**5 + 15*s**4 + 47*s**3 + 21*s**2 - 4*s = 0 for s.
-1, 0, 1/7, 4
Find g, given that -g**3/4 - 181*g**2/4 - 7719*g/4 + 43245/4 = 0.
-93, 5
Suppose 15*g**5 + 573*g**4 + 114*g**3 = 0. What is g?
-38, -1/5, 0
Find x, given that -2*x**2 + 126*x + 1628 = 0.
-11, 74
Solve t**2 + 45*t = 0.
-45, 0
Factor -3*w**2 + 87*w - 84.
-3*(w - 28)*(w - 1)
Factor 5*q**3 - 645*q**2 + 2515*q - 1875.
5*(q - 125)*(q - 3)*(q - 1)
Factor 3*a**2 - 435*a.
3*a*(a - 145)
Factor 3*f**2/4 + 123*f/4 + 216.
3*(f + 9)*(f + 32)/4
Let 2*j**5 + 356*j**4 + 16190*j**3 + 30620*j**2 - 16192*j - 30976 = 0. Calculate j.
-88, -2, -1, 1
Find c such that 5*c**4/4 + 85*c**3/4 - 15*c**2/4 - 265*c/4 - 85/2 = 0.
-17, -1, 2
Let -4*d**5/5 + 84*d**4/5 - 396*d**3/5 - 484*d**2/5 = 0. Calculate d.
-1, 0, 11
Solve -2*a**2/3 - 580*a - 3472/3 = 0 for a.
-868, -2
Solve -u**4/3 - 8*u**3/3 - 13*u**2/3 + 10*u + 24 = 0.
-4, -3, 2
Factor 3*k**5/2 - 5*k**4 + 6*k**3 - 3*k**2 + k/2.
k*(k - 1)**3*(3*k - 1)/2
Suppose 4*t**5 - 1144*t**4 + 112708*t**3 - 4158032*t**2 + 33686720*t - 77868800 = 0. Calculate t.
5, 92
Solve 12*x**5 + 78*x**4 - 148*x**3/3 - 152*x**2/3 + 16*x/3 + 14/3 = 0.
-7, -1/2, -1/3, 1/3, 1
Find a, given that a**4/8 - 11*a**3/8 + a**2 + 5*a/2 = 0.
-1, 0, 2, 10
Factor 32*k**2/11 + 78*k/11 - 54/11.
2*(k + 3)*(16*k - 9)/11
Find q, given that 2*q**5 + 12*q**4 + 10*q**3 = 0.
-5, -1, 0
Factor -294*p**3 - 18172*p**2 + 10408*p/3 - 496/3.
-2*(p + 62)*(21*p - 2)**2/3
Factor b**5/5 - 249*b**4/5 + 99*b**3 - 247*b**2/5.
b**2*(b - 247)*(b - 1)**2/5
Suppose -h**2 - 20*h - 36 = 0. Calculate h.
-18, -2
Find w, given that 255*w**5 - 4503*w**4 + 19083*w**3 + 7155*w**2 - 486*w = 0.
-2/5, 0, 1/17, 9
Factor -2*d**5/15 - 8*d**4/15 + 22*d**3/15 - 4*d**2/5.
-2*d**2*(d - 1)**2*(d + 6)/15
Factor -2*c**3/15 + 674*c**2/15 + 544*c/3 + 2728/15.
-2*(c - 341)*(c + 2)**2/15
Factor 5*d**5 + 11100*d**4 + 8214000*d**3 + 2026120000*d**2.
5*d**2*(d + 740)**3
Find v such that 2*v**2/3 + 464*v/3 + 26912/3 = 0.
-116
Factor -155*k**2/2 + k/2.
-k*(155*k - 1)/2
Factor -2*y**3 - 20*y**2 - 18*y.
-2*y*(y + 1)*(y + 9)
Suppose -6*m**2/5 + 122*m/5 - 8 = 0. What is m?
1/3, 20
Suppose -c**2 - 820*c - 168100 = 0. What is c?
-410
What is y in y**2 + 773*y + 772 = 0?
-772, -1
Let -2*b**2 - 240*b - 7200 = 0. Calculate b.
-60
Let -4*x**3 + 3628*x**2 - 824460*x + 820836 = 0. Calculate x.
1, 453
Let 2*j**5/7 + 50*j**4/7 + 486*j**3/7 + 2286*j**2/7 + 5184*j/7 + 648 = 0. Calculate j.
-7, -6, -3
Factor n**2 - 15*n + 14.
(n - 14)*(n - 1)
What is k in k**3/2 + 127*k**2 + 502*k + 500 = 0?
-250, -2
Factor h**3/5 - 57*h**2/5 + 783*h/5 + 841/5.
(h - 29)**2*(h + 1)/5
Factor g**4/2 - 4*g**3 + 17*g**2/2 - 5*g.
g*(g - 5)*(g - 2)*(g - 1)/2
Factor 5*j**4 - 230*j**3 + 3165*j**2 - 10600*j - 14000.
5*(j - 20)**2*(j - 7)*(j + 1)
Factor -4*f**3/5 + 92*f**2/5 + 96*f/5.
-4*f*(f - 24)*(f + 1)/5
Factor b**2/12 - 17*b/12 + 13/3.
(b - 13)*(b - 4)/12
Solve f**3/4 - 3*f**2/4 - 4*f - 3 = 0 for f.
-2, -1, 6
Factor -z**5 - 7*z**4 - 10*z**3 + 18*z**2 + 27*z - 27.
-(z - 1)**2*(z + 3)**3
Determine b so that 3*b**4 + 17*b**3 - 117*b**2 + 127*b - 30 = 0.
-10, 1/3, 1, 3
Factor -n**4/3 - n**3/2 + n**2/2 + n/3.
-n*(n - 1)*(n + 2)*(2*n + 1)/6
What is l in l**4/5 + 2*l**3/5 - l**2/5 - 2*l/5 = 0?
-2, -1, 0, 1
Let -4*a**4 - 20*a**3 + 28*a**2 + 164*a + 120 = 0. Calculate a.
-5, -2, -1, 3
Factor -2*b**3/3 - 146*b**2/3 - 286*b/3 - 142/3.
-2*(b + 1)**2*(b + 71)/3
Factor -2*v**2/3 - 916*v/3 - 104882/3.
-2*(v + 229)**2/3
What is z in -4*z**2/3 - 1304*z/3 + 436 = 0?
-327, 1
Find t such that 2*t**3/5 + 12*t**2/5 + 6*t/5 - 4 = 0.
-5, -2, 1
Solve -5*j**4 - 240*j**3 - 2865*j**2 - 5030*j - 2400 = 0.
-30, -16, -1
Factor -q**2/4 - 447*q/4.
-q*(q + 447)/4
Factor -2*w**4 + 7*w**3 - 3*w**2.
-w**2*(w - 3)*(2*w - 1)
Factor -2*q**2 + 1336*q - 223112.
-2*(q - 334)**2
What is x in -9*x**4 - 2*x**3 + 728*x**2/9 + 18*x + 1 = 0?
-3, -1/9, 3
Factor 2*k**3/5 - 6*k/5 + 4/5.
2*(k - 1)**2*(k + 2)/5
Suppose -5*b**5 - 75*b**4 + 30*b**3 + 410*b**2 - 585*b + 225 = 0. Calculate b.
-15, -3, 1
Suppose -2*w**5/15 + 88*w**4/5 - 8972*w**3/15 + 1144*w**2 - 1690*w/3 = 0. Calculate w.
0, 1, 65
Find c such that 3*c**2 - 237*c - 240 = 0.
-1, 80
Suppose 3*n**4/8 - 9*n**3/4 - 141*n**2/8 + 207*n/2 - 84 = 0. What is n?
-7, 1, 4, 8
Factor i**5/4 - 215*i**4/4 + 7667*i**3/2 - 89316*i**2 - 101088*i + 186624.
(i - 72)**3*(i - 1)*(i + 2)/4
Solve 3*n**3/5 - 9*n**2/5 - 108*n + 1092/5 = 0 for n.
-13, 2, 14
Let 5*j**2/6 - 72*j + 86/3 = 0. What is j?
2/5, 86
Factor -m**2/7 + 11*m/7 - 24/7.
-(m - 8)*(m - 3)/7
Determine z, given that z**4/6 - 5*z**3/6 + 5*z**2/6 + 5*z/6 - 1 = 0.
-1, 1, 2, 3
Factor -2*w**3/11 - 28*w**2/11 + 190*w/11.
-2*w*(w - 5)*(w + 19)/11
Find u such that -4*u**3 - 7644*u**2 + 15300*u - 7652 = 0.
-1913, 1
Let -t**2/4 + 647*t/2 - 418609/4 = 0. What is t?
647
Find s such that s**3 + 6*s**2 + 5*s - 12 = 0.
-4, -3, 1
Factor 2*h**4 + 34*h**3 + 210*h**2 + 550*h + 500.
2*(h + 2)*(h + 5)**3
Determine f, given that 3*f**2 - 75*f + 138 = 0.
2, 23
What is s in -7*s**4/9 + 5*s**3/3 - s**2/3 - 11*s/9 + 2/3 = 0?
-6/7, 1
Factor -2*h**2/5 - 922*h/5 - 1836/5.
-2*(h + 2)*(h + 459)/5
Find l such that l**4/2 + 4*l**3 + l**2/2 - 39*l - 36 = 0.
-6, -4, -1, 3
Factor 2*c**2/13 - 92*c/13 + 176/13.
2*(c - 44)*(c - 2)/13
Factor -2*i**2/3 - 9736*i/9 + 1082/3.
-2*(i + 1623)*(3*i - 1)/9
Factor k**2 - 813*k + 812.
(k - 812)*(k - 1)
What is p in p**4 + 10*p**3 + 17*p**2 + 8*p = 0?
-8, -1, 0
What is r in r**4 - 111*r**3 + 109*r**2 + 111*r - 110 = 0?
-1, 1, 110
Find g such that -36*g**4/5 - 213*g**3/5 - 144*g**2/5 + 123*g/5 + 18 = 0.
-5, -1, -2/3, 3/4
Find l such that -9*