 0. Calculate q.
-156
Determine l so that -5*l**2/2 + 265*l/2 - 130 = 0.
1, 52
Factor -n**4/3 + 53*n**3/3 - 199*n**2/3 + 49*n.
-n*(n - 49)*(n - 3)*(n - 1)/3
Factor -12*v**2 + 519*v - 129.
-3*(v - 43)*(4*v - 1)
Factor -j**2 - j.
-j*(j + 1)
Determine r so that 3*r**2 + 9*r - 30 = 0.
-5, 2
Factor -z**3 - z**2 + 21*z + 45.
-(z - 5)*(z + 3)**2
Let 5*x**4 + 445*x**3 + 11335*x**2 + 63755*x + 100860 = 0. What is x?
-41, -4, -3
Factor 5*y**2 - 245.
5*(y - 7)*(y + 7)
Suppose 2*s**2/9 + 98*s/3 - 596/9 = 0. What is s?
-149, 2
What is d in 3*d**3 + 342*d**2 + 339*d = 0?
-113, -1, 0
Factor -5*o**3 + 3090*o**2 - 636540*o + 43709080.
-5*(o - 206)**3
Determine k so that 2*k**3/5 + 16*k**2/5 = 0.
-8, 0
Suppose -3*c**2/4 - 9*c/4 + 81 = 0. What is c?
-12, 9
Let -2*r**5 + 10*r**4 + 12*r**3 - 152*r**2 + 304*r - 192 = 0. Calculate r.
-4, 2, 3
Solve -o**3 + 35*o**2 + o - 35 = 0 for o.
-1, 1, 35
Factor -j**2/4 - 55*j - 1491/4.
-(j + 7)*(j + 213)/4
What is d in 2*d**5/7 - 8*d**3/7 + 4*d**2/7 + 6*d/7 - 4/7 = 0?
-2, -1, 1
Find n, given that -n**5/5 - 7*n**4/5 + 117*n**3/5 - 81*n**2 + 432*n/5 = 0.
-16, 0, 3
Factor 4*g**2 + 116*g + 112.
4*(g + 1)*(g + 28)
Factor 2*j**2 + 9642*j.
2*j*(j + 4821)
Determine p so that 4*p**4 - 28*p**3 + 24*p**2 = 0.
0, 1, 6
Let -4*k**3/5 - 53*k**2/5 - 61*k/5 - 12/5 = 0. Calculate k.
-12, -1, -1/4
Factor -3*z**2 + 6*z + 9.
-3*(z - 3)*(z + 1)
Solve 13*r**2/2 + 10*r/3 = 0 for r.
-20/39, 0
Let -9*k**4/7 + 20*k**3/7 - 4*k**2/7 = 0. What is k?
0, 2/9, 2
Factor 5*u**3 - 10*u**2 - 15*u.
5*u*(u - 3)*(u + 1)
Solve 15*u**4/4 + 5*u**3 - 20*u**2 - 20*u + 20 = 0 for u.
-2, 2/3, 2
Factor -5*c**4 + 5*c**3 + 40*c**2 - 60*c.
-5*c*(c - 2)**2*(c + 3)
Factor -2*p**5 + 64*p**4 + 136*p**3 + 4*p**2 - 134*p - 68.
-2*(p - 34)*(p - 1)*(p + 1)**3
Find b, given that -6*b**4/5 + 202*b**3/5 - 126*b**2 - 1026*b/5 + 756 = 0.
-7/3, 3, 30
Find q such that -3*q**2 + 15*q = 0.
0, 5
Factor -x**4/3 + 17*x**3 - 93*x**2 + 135*x.
-x*(x - 45)*(x - 3)**2/3
Factor 18*z**3 + 680*z**2 + 6346*z - 1444.
2*(z + 19)**2*(9*z - 2)
Factor -2*i**3 + 10*i**2 + 148*i - 480.
-2*(i - 10)*(i - 3)*(i + 8)
Factor 2*b**3/17 - 2*b**2/17 - 18*b/17 + 18/17.
2*(b - 3)*(b - 1)*(b + 3)/17
Factor -3*s**4 - 954*s**3 + 957*s**2.
-3*s**2*(s - 1)*(s + 319)
Let 2*q**5/7 - 68*q**4/21 - 24*q**3/7 + 272*q**2/21 + 64*q/7 = 0. What is q?
-2, -2/3, 0, 2, 12
Suppose 5*j**3 - 35*j**2 + 75*j - 45 = 0. What is j?
1, 3
Factor -4*w**2 + 76*w + 168.
-4*(w - 21)*(w + 2)
Suppose 5*v**5 + 40*v**4 - 10*v**3 - 80*v**2 + 5*v + 40 = 0. What is v?
-8, -1, 1
What is k in 2*k**4 + 6450*k**3/11 + 1172*k**2/11 = 0?
-293, -2/11, 0
Let 45*o**2 + 366*o + 48 = 0. Calculate o.
-8, -2/15
Determine w, given that 2*w**4/3 - 344*w**3/3 + 14792*w**2/3 = 0.
0, 86
Factor -16*h**4/5 + 2424*h**3/5 - 91201*h**2/5 - 46056*h/5 - 5776/5.
-(h - 76)**2*(4*h + 1)**2/5
Factor 5*q**2.
5*q**2
Factor 3*v**2/2 + 807*v.
3*v*(v + 538)/2
Factor 2*a**2/13 + 336*a/13 + 14112/13.
2*(a + 84)**2/13
Let -4*m**3 - 4028*m**2 - 16064*m - 16048 = 0. Calculate m.
-1003, -2
Factor g**4 + 3*g**3 - 49*g**2 + 45*g.
g*(g - 5)*(g - 1)*(g + 9)
Suppose -j**2/3 + 179*j/3 + 182 = 0. What is j?
-3, 182
Determine p so that -2*p**5/19 + 2*p**4/19 + 18*p**3/19 - 2*p**2/19 - 40*p/19 - 24/19 = 0.
-2, -1, 2, 3
Find l, given that -5*l**4 - 205*l**3 - 395*l**2 - 195*l = 0.
-39, -1, 0
Let -2*x**3 - 5*x**2 + 4*x + 3 = 0. What is x?
-3, -1/2, 1
Factor -k**4/2 + 7*k**2/2 + 3*k.
-k*(k - 3)*(k + 1)*(k + 2)/2
Factor m**5/3 - m**4 + m**3/3 + m**2 - 2*m/3.
m*(m - 2)*(m - 1)**2*(m + 1)/3
Find s, given that -2*s**5/21 - 2*s**4/3 - 10*s**3/21 + 62*s**2/21 + 20*s/7 = 0.
-5, -3, -1, 0, 2
Let 3*k**2 - 3051*k + 9126 = 0. What is k?
3, 1014
Factor 4*y**4 + 20*y**3 - 24*y**2 - 128*y + 128.
4*(y - 2)*(y - 1)*(y + 4)**2
Let 2*u**3/13 - 12*u**2/13 - 8*u/13 + 48/13 = 0. Calculate u.
-2, 2, 6
Factor 2*p**3/5 - 52*p**2/5 + 98*p/5 - 48/5.
2*(p - 24)*(p - 1)**2/5
Suppose -75*w**3 - 30*w**2 - 3*w = 0. Calculate w.
-1/5, 0
Solve -2*s**4/3 - 80*s**3/3 + 2*s**2 + 236*s/3 - 160/3 = 0.
-40, -2, 1
Factor -m**2/7 - 29*m/7 + 170/7.
-(m - 5)*(m + 34)/7
Let 35*f**5 + 605*f**4 - 460*f**3 - 180*f**2 = 0. What is f?
-18, -2/7, 0, 1
Factor 14*t**2 - 44*t + 6.
2*(t - 3)*(7*t - 1)
Find r such that -2*r**2/9 + 2*r - 40/9 = 0.
4, 5
Factor -5*d**3 - 320*d**2 - 2700*d.
-5*d*(d + 10)*(d + 54)
Suppose 13935742*c**4 + 12184654*c**3 - 1677744*c**2 + 72320*c - 1024 = 0. What is c?
-1, 8/191
Factor -m**3/2 - 9*m**2/2 + 85*m/2 - 75/2.
-(m - 5)*(m - 1)*(m + 15)/2
What is z in -2*z**3 + 34*z**2 - 32*z = 0?
0, 1, 16
Solve g**4/2 - 39*g**3/2 + 57*g**2/2 + 12635*g/2 - 61731 = 0 for g.
-18, 19
Let -5*d**2 + 70*d - 225 = 0. Calculate d.
5, 9
Factor 3*n**2 + 72*n + 132.
3*(n + 2)*(n + 22)
Find c, given that c**3/2 + 54*c**2 - 219*c/2 + 55 = 0.
-110, 1
Solve 4*o**4 - 4*o**2 = 0 for o.
-1, 0, 1
Factor -2*v**4 + 1272*v**3 - 203516*v**2 + 403224*v - 200978.
-2*(v - 317)**2*(v - 1)**2
What is w in -3*w**2 + 528*w - 23232 = 0?
88
Solve -3*a**4 - 48*a**3 + 183*a**2 + 228*a = 0.
-19, -1, 0, 4
Solve -2*a**3/11 + 136*a**2/11 - 2170*a/11 - 4900/11 = 0 for a.
-2, 35
Factor 4*q**2/3 + 232*q - 2848/3.
4*(q - 4)*(q + 178)/3
Suppose 90*u**3/7 + 2052*u**2/7 - 418*u/7 - 92/7 = 0. Calculate u.
-23, -2/15, 1/3
Factor -11*b**3 - 5*b**2 + 6*b.
-b*(b + 1)*(11*b - 6)
Factor -5*f**2 - 255*f - 720.
-5*(f + 3)*(f + 48)
Find f such that f**3 - 4*f**2 - 29*f - 24 = 0.
-3, -1, 8
Suppose l**4/8 - l**3/8 = 0. What is l?
0, 1
Factor -2*d**2/11 - 2308*d/11.
-2*d*(d + 1154)/11
Determine r, given that 5*r**2 - 360*r - 1925 = 0.
-5, 77
Find n such that -3*n**5 - 42*n**4 - 153*n**3 + 42*n**2 + 660*n + 504 = 0.
-7, -6, -2, -1, 2
Let -v**4/2 + 19*v**3/2 + 3*v**2/2 - 59*v/2 + 19 = 0. What is v?
-2, 1, 19
Factor 5*w**2/2 - 1040*w + 4120.
5*(w - 412)*(w - 4)/2
Solve -2*m**3/5 - 148*m**2/5 - 2738*m/5 = 0 for m.
-37, 0
Factor c**4/6 + 9*c**3/2 + 109*c**2/3 + 80*c + 48.
(c + 1)*(c + 2)*(c + 12)**2/6
Let w**5/3 - 8*w**4/3 + 4*w**3 + 2*w**2/3 - 13*w/3 + 2 = 0. What is w?
-1, 1, 6
Factor -a**3/9 - 43*a**2/3 - 455*a + 4225/9.
-(a - 1)*(a + 65)**2/9
Factor -2*v**2/13 + 60*v/13 - 450/13.
-2*(v - 15)**2/13
Determine j, given that 2*j**2 + 52*j = 0.
-26, 0
Find v, given that 40*v**5 - 90*v**4 - 145*v**3 + 370*v**2 - 60*v - 40 = 0.
-2, -1/4, 1/2, 2
Factor -3*t**3 - 654*t**2 + 3*t + 654.
-3*(t - 1)*(t + 1)*(t + 218)
Factor -g**3/5 - 9*g**2 + 541*g/5 - 99.
-(g - 9)*(g - 1)*(g + 55)/5
Let k**4 - k**3 - 9*k**2 + 9*k = 0. What is k?
-3, 0, 1, 3
Find j such that -2*j**5 + 26*j**4 + 172*j**3 - 1584*j**2 - 8640*j - 6912 = 0.
-6, -4, -1, 12
Let -y**4 - 58*y**3 + 255*y**2 + 424*y - 620 = 0. Calculate y.
-62, -2, 1, 5
Factor c**2/3 - 244*c/3 + 14884/3.
(c - 122)**2/3
Find c, given that -5*c**5 + 105*c**4 - 575*c**3 + 15*c**2 + 2200*c + 1500 = 0.
-1, 3, 10
Determine n, given that 101*n**3 + 201*n**2 + 99*n - 1 = 0.
-1, 1/101
Find g, given that -3*g**5 - 152*g**4 - 1129*g**3 - 1568*g**2 - 588*g = 0.
-42, -7, -1, -2/3, 0
Factor 3*t**3 + 96*t**2 + 93*t.
3*t*(t + 1)*(t + 31)
Suppose 4*h**3 - 148*h**2 + 144*h = 0. What is h?
0, 1, 36
Factor -11552*c**3/17 + 126768*c**2/17 + 3342*c/17 + 22/17.
-2*(c - 11)*(76*c + 1)**2/17
Factor -3*f**5/5 - 192*f**4/5 - 4386*f**3/5 - 38148*f**2/5 - 14739*f/5 + 1002252/5.
-3*(f - 4)*(f + 17)**4/5
Determine i, given that 4*i**5 + 4*i**4 - 76*i**3 + 44*i**2 + 120*i = 0.
-5, -1, 0, 2, 3
Let 3*x**4/4 + 69*x**3/4 + 279*x**2/4 - 1365*x/4 + 507/2 = 0. Calculate x.
-13, 1, 2
Let 2*g**5/15 + 8*g**4/15 - 8*g**3/3 + 4*g**2/3 + 38*g/15 - 28/15 = 0. Calculate g.
-7, -1, 1, 2
Find w, given that 12*w**2/5 + 76*w/5 + 24/5 = 0.
-6, -1/3
Let -3*p**2/7 + 48*p/7 - 192/7 = 0. Calculate p.
8
Factor -3*h**4/5 + 18*h**3/5 - 39*h**2/5 + 36*h/5 - 12/5.
-3*(h - 2)**2*(h - 1)**2/5
Let -f**4 + 38*f**3 - 397*f**2 + 684*f - 324 = 0. What is f?
1, 18
Determine t so that -t**4/7 + 23*t**3/7 - 111*t**2/7 - 135*t/7 = 0.
-1, 0, 9, 15
Factor -3*t**4/7 - 12*t**3/7 + 48*t**2/7 + 192*t/7.
-3*t*(t - 4)*(t + 4)**2/7
Factor -2*c**4 + 20*c**3 - 42*c**2 - 80*c + 200.
-2*(c - 5)**2*(c - 2)*(c + 2)
Solve -4*k**5 - 20*k**4 - 4*k**3 + 84*k**2 + 72*k = 0 for k.
-3, -1, 0, 2
Solve -o**2/2 + 317*o/2 - 158 = 0 for o.
1, 316
Factor -3*p**2 - 129*p.
-3*p*(p + 43)
Factor -3*v**2/7 - 633*v/7 - 2484/7.
-3*(v + 4)*(v + 207)/7
Suppose -3*s**4/2 - 27*s**3