2 + 270.
5*(n + 3)**3*(n + 4)/2
Let -z**2/10 - 9*z/5 = 0. Calculate z.
-18, 0
Solve -6*b**5/5 + 1038*b**4/5 - 4044*b**3/5 - 420*b**2 + 12114*b/5 + 9126/5 = 0.
-1, 3, 169
Factor 4*u**3 - 4*u**2.
4*u**2*(u - 1)
Factor -r**3/10 - 7*r**2/10 + 9*r/5.
-r*(r - 2)*(r + 9)/10
Factor 58*s**2 - 59*s + 1.
(s - 1)*(58*s - 1)
Find n such that 2*n**3/9 + 574*n**2/9 - 1154*n/9 + 578/9 = 0.
-289, 1
Factor 51*x**2 - 159*x + 18.
3*(x - 3)*(17*x - 2)
Suppose -t**5/6 - t**4 - 3*t**3/2 - 2*t**2/3 = 0. Calculate t.
-4, -1, 0
Solve 4*i**2/3 - 314*i/9 + 52/9 = 0 for i.
1/6, 26
Factor -5*a**4 + 55*a**3 + 125*a**2 + 65*a.
-5*a*(a - 13)*(a + 1)**2
Factor 4*c**4 + 324*c**3 + 6396*c**2 - 6724*c.
4*c*(c - 1)*(c + 41)**2
Factor 5*w**3 + 110*w**2 - 255*w - 7560.
5*(w - 8)*(w + 9)*(w + 21)
Suppose -l**3/2 - 56*l**2 + 699*l/2 - 531 = 0. Calculate l.
-118, 3
Let 2*a**3 - 14*a**2 - 52*a + 144 = 0. What is a?
-4, 2, 9
What is l in 2*l**5 + 18*l**4 + 58*l**3 + 78*l**2 + 36*l = 0?
-3, -2, -1, 0
Suppose 3*u**5/2 + 99*u**4 + 93*u**3 - 300*u**2 - 981*u/2 - 195 = 0. What is u?
-65, -1, 2
Solve -4*p**2/7 - 880*p/7 - 48400/7 = 0 for p.
-110
Factor 4*l**4/3 - 13664*l**3 + 52510752*l**2 - 89688364416*l + 57445397408448.
4*(l - 2562)**4/3
Suppose 2*o**4 + 2*o**3 - 10*o**2 + 6*o = 0. What is o?
-3, 0, 1
Determine f, given that 3*f**2/2 - 777*f + 201243/2 = 0.
259
Solve -2*p**4 - 60*p**3 - 54*p**2 + 116*p = 0 for p.
-29, -2, 0, 1
Factor -2*c**2/9 - 50*c/9 + 12.
-2*(c - 2)*(c + 27)/9
Suppose -20*u**4 + 272*u**3 - 1008*u**2 + 832*u + 512 = 0. What is u?
-2/5, 2, 4, 8
Suppose 4*d**2 - 48*d + 128 = 0. What is d?
4, 8
Factor -y**2 + 1144*y - 327184.
-(y - 572)**2
Factor -c**5 - 99*c**4 + c**3 + 99*c**2.
-c**2*(c - 1)*(c + 1)*(c + 99)
Factor 49*t**4/6 - 2408*t**3/3 + 19837*t**2 - 16856*t/3 + 2401/6.
(t - 49)**2*(7*t - 1)**2/6
Determine t, given that 2994*t**2/11 - 2998*t/11 + 4/11 = 0.
2/1497, 1
Determine j, given that 8*j**4 + 1898*j**3 + 109932*j**2 - 313920*j + 172800 = 0.
-120, 3/4, 2
Find b, given that -5*b**2 - 670*b - 22445 = 0.
-67
Factor 32*z**4 + 196*z**3 + 296*z**2 + 132*z.
4*z*(z + 1)**2*(8*z + 33)
Solve -50*d**5 + 245*d**4 - 440*d**3 + 365*d**2 - 140*d + 20 = 0.
2/5, 1/2, 1, 2
Factor 3*t**2/2 - 711*t/2 - 357.
3*(t - 238)*(t + 1)/2
Let -2*d**4/15 + 16*d**3/15 + 382*d**2/15 - 132*d/5 = 0. What is d?
-11, 0, 1, 18
What is g in 3*g**3 - 9*g**2 - 39*g + 45 = 0?
-3, 1, 5
Factor 2*z**2/9 + 56*z/9.
2*z*(z + 28)/9
What is k in -7*k**3 - 6*k**2 + k = 0?
-1, 0, 1/7
Suppose q**3 - 104*q**2 + 2805*q - 5202 = 0. What is q?
2, 51
Suppose 5*b**3/3 + 395*b**2/3 + 2665*b + 2535 = 0. What is b?
-39, -1
Factor 5*m**3/3 + 11*m**2/3 + 7*m/3 + 1/3.
(m + 1)**2*(5*m + 1)/3
Let -2*r**3/9 - 6*r**2 - 160*r/9 + 184/3 = 0. What is r?
-23, -6, 2
Find a, given that -6*a**5/7 + 405*a**4/7 + 621*a**3/7 + 3*a**2/7 - 207*a/7 = 0.
-1, 0, 1/2, 69
Suppose -r**4 + 7*r**3 + 3*r**2 - 23*r + 14 = 0. What is r?
-2, 1, 7
Find s, given that 3*s**4 + 10*s**3 + 4*s**2 - 8*s = 0.
-2, 0, 2/3
Factor a**2 + 40*a - 561.
(a - 11)*(a + 51)
Factor 3*y**3/4 + 15*y**2/4 + 3*y/2 - 6.
3*(y - 1)*(y + 2)*(y + 4)/4
Find h, given that -2*h**4/7 - 8*h**3/7 + 60*h**2/7 + 200*h/7 - 250/7 = 0.
-5, 1, 5
Factor -x**5 + 13*x**4/3 - 4*x**3/3.
-x**3*(x - 4)*(3*x - 1)/3
Solve 2*d**3 - 1054*d**2 + 140432*d - 411864 = 0 for d.
3, 262
Factor s**2/6 - 95*s/3 - 191/6.
(s - 191)*(s + 1)/6
Factor 55*l**2 + 93270*l - 16960.
5*(l + 1696)*(11*l - 2)
Factor 10*i**2 - 14*i - 12.
2*(i - 2)*(5*i + 3)
Factor 16000*s**4/3 - 10400*s**3/3 + 240*s**2 + 216*s - 36.
4*(4*s + 1)*(10*s - 3)**3/3
Determine s so that -65*s**5 - 400*s**4 - 255*s**3 + 620*s**2 + 100*s = 0.
-5, -2, -2/13, 0, 1
Factor -3*a**2/4 + 24*a + 51.
-3*(a - 34)*(a + 2)/4
Determine t so that 2*t**5 + 80*t**4 + 860*t**3 + 920*t**2 - 4750*t + 2888 = 0.
-19, -4, 1
Find u, given that -u**2/3 + 5072*u/3 - 6431296/3 = 0.
2536
Solve -21*m**4 + 90*m**3 + 81*m**2 - 30*m = 0.
-1, 0, 2/7, 5
Let -4*u**4 + 50*u**3 + 756*u**2 + 1810*u - 1100 = 0. Calculate u.
-5, 1/2, 22
Factor g**4/8 - 3*g**3/8 - 5*g**2/8 + 3*g/8 + 1/2.
(g - 4)*(g - 1)*(g + 1)**2/8
Factor -5*y**3 + 980*y**2 + 2975*y + 1990.
-5*(y - 199)*(y + 1)*(y + 2)
Let 4*j**2 - 11*j - 3 = 0. What is j?
-1/4, 3
Determine o so that -o**3 + 11*o**2 - 19*o + 9 = 0.
1, 9
Find f such that -f**2/6 + 17*f/2 + 27 = 0.
-3, 54
Find m such that -m**2/2 + 109*m - 11881/2 = 0.
109
Factor u**4/2 + 9*u**3/4 + 3*u**2/4 - u.
u*(u + 1)*(u + 4)*(2*u - 1)/4
What is i in -3*i**2/8 + 141*i/8 - 69/4 = 0?
1, 46
Factor -2*v**4 - 32*v**3/3 - 176*v**2/9 - 128*v/9 - 32/9.
-2*(v + 2)**2*(3*v + 2)**2/9
Suppose -35*q**5 - 2180*q**4 - 32015*q**3 + 60470*q**2 - 16000*q - 10240 = 0. What is q?
-32, -2/7, 1
Factor 6*m**2 - 50*m - 36.
2*(m - 9)*(3*m + 2)
Find x such that 2*x**2/13 - 96*x/13 = 0.
0, 48
Factor t**4/5 + 29*t**3/5 + 138*t**2/5 - 32*t/5 - 736/5.
(t - 2)*(t + 4)**2*(t + 23)/5
Factor -5*l**5 + 8055*l**4 - 3240120*l**3 - 3248180*l**2.
-5*l**2*(l - 806)**2*(l + 1)
Factor -3*c**5 + 120*c**4 - 1416*c**3 + 4320*c**2 - 3888*c.
-3*c*(c - 18)**2*(c - 2)**2
Solve 2*k**2 + 58*k + 56 = 0 for k.
-28, -1
Let 2*f**3 + 780*f**2 + 1552*f = 0. Calculate f.
-388, -2, 0
Factor 95*z**2 + 770*z + 80.
5*(z + 8)*(19*z + 2)
Factor -5*b**2 - 4660*b + 4665.
-5*(b - 1)*(b + 933)
Factor l**4/5 + l**3/5 - 23*l**2/5 + 39*l/5 - 18/5.
(l - 3)*(l - 1)**2*(l + 6)/5
Find z, given that z**2/3 - 23*z/3 + 14 = 0.
2, 21
Suppose 4*x**4/7 - 16*x**3/7 - 24*x**2/7 + 16*x/7 + 20/7 = 0. What is x?
-1, 1, 5
What is m in 30*m**2 + 452*m + 30 = 0?
-15, -1/15
Factor -2*u**3/7 + 9*u**2/7 - 10*u/7 + 3/7.
-(u - 3)*(u - 1)*(2*u - 1)/7
Factor -4*c**3 - 104*c**2 - 364*c - 264.
-4*(c + 1)*(c + 3)*(c + 22)
Factor 45*x**4 - 30*x**3 - 55*x**2 + 20*x + 20.
5*(x - 1)**2*(3*x + 2)**2
Let k**2/2 + 3*k/2 - 2 = 0. What is k?
-4, 1
Factor -2*n**4/7 + 2860*n**3/7 - 1022450*n**2/7.
-2*n**2*(n - 715)**2/7
Suppose v**5/2 + 142*v**4 + 15123*v**3 + 715822*v**2 + 25411681*v/2 = 0. What is v?
-71, 0
Let n**5/3 + 65*n**4/3 + 500*n**3 + 14000*n**2/3 + 40000*n/3 = 0. What is n?
-20, -5, 0
Factor -4*c**4 - 204*c**3 - 2496*c**2 + 2704*c.
-4*c*(c - 1)*(c + 26)**2
Let -12*a**4/7 + 729*a**3/7 + 465*a**2 + 3888*a/7 + 780/7 = 0. Calculate a.
-2, -1/4, 65
What is g in 5*g**2 + 135*g = 0?
-27, 0
Factor 3*k**3 + 993*k**2 + 1965*k - 2961.
3*(k - 1)*(k + 3)*(k + 329)
Factor -2645*v**4 + 16100*v**3 - 25190*v**2 + 2100*v - 45.
-5*(v - 3)**2*(23*v - 1)**2
Determine o so that -2*o**2 - 708*o - 62658 = 0.
-177
Determine b so that -121*b**4/2 + 385*b**3 - 1357*b**2/2 + 210*b - 18 = 0.
2/11, 3
Let 3*m**2/5 - 6*m = 0. What is m?
0, 10
Determine c so that 4*c**5/3 + 416*c**4/9 + 656*c**3/9 - 152*c**2/9 - 668*c/9 - 88/3 = 0.
-33, -1, -2/3, 1
Let -4*n**2 - 24*n + 220 = 0. Calculate n.
-11, 5
Suppose -3*r**3/7 - 6*r**2/7 + 9*r/7 = 0. Calculate r.
-3, 0, 1
Factor 4*g**4/3 - 4*g**2 + 8*g/3.
4*g*(g - 1)**2*(g + 2)/3
Determine q, given that 16*q**5/3 - 24*q**4 + 27*q**3 - 28*q**2/3 + q = 0.
0, 1/4, 1, 3
Factor 45*h**2 + 867*h + 558.
3*(3*h + 2)*(5*h + 93)
Suppose z**2 + 165*z - 504 = 0. What is z?
-168, 3
Suppose 63*q**4/2 + 317*q**3/2 - 184*q**2 - 6*q = 0. Calculate q.
-6, -2/63, 0, 1
Factor 4*d**2 + 12*d - 16.
4*(d - 1)*(d + 4)
Let 4*m**4 - 32*m**3 - 4*m**2 + 32*m = 0. What is m?
-1, 0, 1, 8
Factor -578*u**3/13 - 1088*u**2/13 + 134*u/13 - 4/13.
-2*(u + 2)*(17*u - 1)**2/13
Factor -5*m**2 - 360*m + 365.
-5*(m - 1)*(m + 73)
Determine v so that -v**5/2 - 9*v**4/2 - 13*v**3 - 10*v**2 + 12*v + 16 = 0.
-4, -2, 1
Factor 2*v**3/3 - 2*v**2 - 8*v/3.
2*v*(v - 4)*(v + 1)/3
Factor j**5/6 - 411*j**4 + 337842*j**3 - 92568708*j**2.
j**2*(j - 822)**3/6
Factor -u**2/4 - 7*u/2 + 95/4.
-(u - 5)*(u + 19)/4
Solve 2*m**4 - 168*m**3 - 876*m**2 - 1240*m - 534 = 0.
-3, -1, 89
Factor -2*i**5/7 - 110*i**4/7 + 226*i**3/7 - 114*i**2/7.
-2*i**2*(i - 1)**2*(i + 57)/7
Factor 3*m**5/4 - 54*m**4 + 2049*m**3/2 - 1890*m**2 + 3675*m/4.
3*m*(m - 35)**2*(m - 1)**2/4
Find f, given that -4*f**2/3 + 700*f/3 + 704/3 = 0.
-1, 176
Let 17*i**4/3 - 55*i**3/3 + 21*i**2 - 29*i/3 + 4/3 = 0. What is i?
4/17, 1
Factor -k**2/7 - 72*k/7 + 73/7.
-(k - 1)*(k + 73)/7
Solve -l**4/3 + 5*l**3/3 = 0 for l.
0, 5
Factor -5*x**3/3 + 185*x**2/3 + 5*x/3 - 185/3.
-5*(x - 37)*(x - 1)*(x + 1)/3
Determine n, given that 5*n**3 + 45*n**2 + 40*n = 0.
-8, -1, 0
Determin