.
2, 19
Find v, given that 2*v**5/7 + 76*v**4/7 + 344*v**3/7 + 468*v**2/7 + 198*v/7 = 0.
-33, -3, -1, 0
Factor 2*b**4 + 404*b**3 + 20802*b**2 + 40400*b + 20000.
2*(b + 1)**2*(b + 100)**2
What is j in 25*j**5 - 65*j**4 - 30*j**3 + 100*j**2 + 40*j = 0?
-1, -2/5, 0, 2
Factor 2*b**2/15 - 724*b/15 + 65522/15.
2*(b - 181)**2/15
Solve 372*y**4/5 - 2224*y**3/5 + 4416*y**2/5 - 576*y - 64/5 = 0.
-2/93, 2
Factor -5*j**2 - 6500*j + 6505.
-5*(j - 1)*(j + 1301)
Determine t, given that 6*t**5/7 - 10*t**4/7 - 54*t**3/7 + 66*t**2/7 + 16*t - 120/7 = 0.
-2, 1, 5/3, 3
Solve 5*q**5 - 460*q**4 + 3840*q**3 - 8810*q**2 + 7915*q - 2490 = 0 for q.
1, 6, 83
Solve -3*k**4 + 33*k**3 - 126*k**2 + 204*k - 120 = 0.
2, 5
Factor -k**2/2 + 77*k/2.
-k*(k - 77)/2
Factor 2*r**3/15 + 4*r**2/3 + 34*r/15 + 16/15.
2*(r + 1)**2*(r + 8)/15
Let -c**2 - 17*c - 30 = 0. What is c?
-15, -2
Factor -t**2/2 - 7*t/2 - 6.
-(t + 3)*(t + 4)/2
Find m such that 3*m**3 - 3*m**2 = 0.
0, 1
Factor -5*b**4 - 90*b**3 - 425*b**2 - 360*b + 880.
-5*(b - 1)*(b + 4)**2*(b + 11)
Factor -2*t**2 + 1380*t.
-2*t*(t - 690)
Factor 2*p**3 - 8*p**2 + 10*p - 4.
2*(p - 2)*(p - 1)**2
Solve 2*f**4 - 18*f**3 + 54*f**2 - 54*f = 0.
0, 3
Let -2*a**2 + 84*a + 86 = 0. What is a?
-1, 43
Factor 5*t**5 + 10*t**4 - 10*t**3 - 40*t**2 - 35*t - 10.
5*(t - 2)*(t + 1)**4
Factor 2*o**2 - 50*o + 92.
2*(o - 23)*(o - 2)
Determine d so that 2*d**5/15 + 2*d**4/15 - 16*d**3/5 + 16*d**2/3 + 32*d/15 - 32/5 = 0.
-6, -1, 2
Suppose 3*n**5/8 + 93*n**4/8 - 201*n**3/8 - 93*n**2/8 + 99*n/4 = 0. Calculate n.
-33, -1, 0, 1, 2
Factor -2*s**2/9 - 1196*s/3 - 178802.
-2*(s + 897)**2/9
Let -j**3 + 18*j**2 = 0. What is j?
0, 18
Factor 12*g**3/5 - 278*g**2/5 + 46*g/5.
2*g*(g - 23)*(6*g - 1)/5
What is w in 2*w**5 - 56*w**4/3 + 578*w**3/9 - 892*w**2/9 + 200*w/3 - 16 = 0?
2/3, 2, 3
Solve -5*u**4 + 70*u**3 + 155*u**2 + 80*u = 0 for u.
-1, 0, 16
Let 2*k**4/13 - 16*k**3/13 - 28*k**2/13 + 96*k/13 - 54/13 = 0. Calculate k.
-3, 1, 9
Determine c so that -c**3 - 173*c**2 = 0.
-173, 0
Suppose -2*o**2 + 2472*o = 0. What is o?
0, 1236
Factor d**4/4 + 5*d**3/4 - 14*d**2 - 15*d.
d*(d - 6)*(d + 1)*(d + 10)/4
Factor k**2 + 24*k.
k*(k + 24)
Factor -4*w**2 - 76*w + 264.
-4*(w - 3)*(w + 22)
Factor 13*a**4 + 94*a**3 + 89*a**2 - 52*a - 60.
(a + 1)**2*(a + 6)*(13*a - 10)
Let 5*a**4 - 85*a**3 - 5*a**2 + 85*a = 0. What is a?
-1, 0, 1, 17
Suppose 80*t**4 + 1640*t**3 - 875*t**2 - 740*t - 105 = 0. Calculate t.
-21, -1/4, 1
Solve 2*d**3/13 + 22*d**2/13 - 80*d/13 + 56/13 = 0 for d.
-14, 1, 2
Factor m**2 - 1.
(m - 1)*(m + 1)
Factor v**4 - 31*v**3 + 112*v**2 - 108*v.
v*(v - 27)*(v - 2)**2
Determine a, given that -2*a**5/3 + 8*a**4/3 - 2*a**3 - 8*a**2/3 + 8*a/3 = 0.
-1, 0, 1, 2
Let 5*k**5 + 160*k**4 - 10*k**3 - 320*k**2 + 5*k + 160 = 0. What is k?
-32, -1, 1
Find l such that -3*l**2/4 - 129*l/2 - 5547/4 = 0.
-43
Suppose -21*j**4 - 153*j**3 - 378*j**2 - 348*j - 72 = 0. Calculate j.
-3, -2, -2/7
Factor -3*o**3/5 - 21*o**2/5 + 168*o/5 - 144/5.
-3*(o - 4)*(o - 1)*(o + 12)/5
Find h such that 3*h**2 - 108*h - 351 = 0.
-3, 39
Factor 2*h**3/7 - 110*h**2/7 + 208*h + 224.
2*(h - 28)**2*(h + 1)/7
Factor 6*f**2 + 501*f - 507.
3*(f - 1)*(2*f + 169)
Find g such that 4*g**4/9 - 92*g**3/9 - 532*g**2/3 + 3452*g/9 - 1768/9 = 0.
-13, 1, 34
Suppose -s**4/4 + 11*s**2/4 - 9*s/2 + 2 = 0. What is s?
-4, 1, 2
Determine n, given that 5*n**2 - 40*n - 165 = 0.
-3, 11
Factor 2*i**3/11 - 52*i**2/11 + 408*i/11 - 1008/11.
2*(i - 14)*(i - 6)**2/11
Suppose 2*f**2 + 1100*f + 151250 = 0. What is f?
-275
Factor -2*w**2 + 60*w - 58.
-2*(w - 29)*(w - 1)
Determine j, given that -23*j**3/4 - 33*j**2/2 + 29*j/4 + 15 = 0.
-3, -20/23, 1
Find k, given that 6*k**4/7 + 72*k**3/7 + 96*k**2/7 - 1152*k/7 - 3072/7 = 0.
-8, -4, 4
Let -c**3/2 - 117*c**2/2 - 1740*c - 1682 = 0. What is c?
-58, -1
Solve h**2 + 106*h + 2809 = 0.
-53
Suppose -2*u**4/9 - 4*u**3/3 + 214*u**2/9 - 80*u/3 - 1400/9 = 0. What is u?
-14, -2, 5
Find s, given that -5*s**2 - 140*s + 465 = 0.
-31, 3
Solve -r**2/3 + 25*r/3 - 48 = 0.
9, 16
Factor -5*n**3 - 20*n**2 - 5*n + 30.
-5*(n - 1)*(n + 2)*(n + 3)
Factor 2*c**2/25 + 156*c/25 - 166/5.
2*(c - 5)*(c + 83)/25
Factor c**3/2 - 9*c**2/2 + 54.
(c - 6)**2*(c + 3)/2
Factor 2*v**3/11 - 28*v**2/11 - 842*v/11 - 812/11.
2*(v - 29)*(v + 1)*(v + 14)/11
Find h such that -h**2/4 - 77*h/4 - 73 = 0.
-73, -4
Solve -9*k**3 - 111*k**2 + 216*k + 84 = 0.
-14, -1/3, 2
Factor -y**5/5 - 17*y**4/5 - 56*y**3/5 - 52*y**2/5.
-y**2*(y + 2)**2*(y + 13)/5
What is d in 2*d**3/9 - 152*d**2/9 - 2*d/9 + 152/9 = 0?
-1, 1, 76
Determine p, given that -p**2 + 248*p - 15376 = 0.
124
Find s, given that 4*s**5/3 + 8*s**4 + 52*s**3/3 + 16*s**2 + 16*s/3 = 0.
-2, -1, 0
Find c such that 4704*c**5 - 1512*c**4 - 18726*c**3 + 12093*c**2/2 - 360*c + 6 = 0.
-2, 1/28, 1/4, 2
Factor 3*k**3 + 39*k**2 + 57*k - 99.
3*(k - 1)*(k + 3)*(k + 11)
Find h such that 56517825*h**5 + 11344970*h**4 + 278824*h**3/3 - 45008*h**2 + 1296*h - 32/3 = 0.
-2/15, 2/91
What is f in 2*f**5/3 + 10*f**4/3 + 14*f**3/3 + 2*f**2 = 0?
-3, -1, 0
Let 2*d**3 + 30*d**2 + 94*d + 66 = 0. What is d?
-11, -3, -1
Suppose 2*q**5/5 - 74*q**4/5 - 242*q**3/5 + 74*q**2/5 + 48*q = 0. Calculate q.
-3, -1, 0, 1, 40
Factor 2*g**4 + 232*g**3 + 7388*g**2 + 38280*g + 54450.
2*(g + 3)**2*(g + 55)**2
Factor 2*z**2/5 + 64*z/5 - 946/5.
2*(z - 11)*(z + 43)/5
Find r, given that 27*r**4/4 + 180*r**3 + 1416*r**2 + 2880*r + 1728 = 0.
-12, -4/3
Factor -14*l**3/9 - 2096*l**2/9 - 26050*l/3 + 2500.
-2*(l + 75)**2*(7*l - 2)/9
Determine i so that 2*i**3/13 - 22*i**2/13 + 4*i - 32/13 = 0.
1, 2, 8
Find c such that 2*c**3/3 - 46*c**2/3 + 112*c/3 + 160/3 = 0.
-1, 4, 20
Factor -12*c**5 + 9*c**3 + 3*c**2.
-3*c**2*(c - 1)*(2*c + 1)**2
Factor 5*z**2/2 + 185*z + 2345/2.
5*(z + 7)*(z + 67)/2
Factor -w**3/4 + 7*w**2/4 - 4*w + 3.
-(w - 3)*(w - 2)**2/4
Factor -3*l**4 - 36*l**3 + 135*l**2.
-3*l**2*(l - 3)*(l + 15)
Let 3*a**4 + 150*a**3 + 1716*a**2 - 4056*a = 0. Calculate a.
-26, 0, 2
Determine g so that 226*g**5 + 908*g**4 + 694*g**3 + 12*g**2 = 0.
-3, -1, -2/113, 0
Factor 306*i**3/5 - 42*i**2 + 4*i/5.
2*i*(3*i - 2)*(51*i - 1)/5
What is f in -2*f**2/7 - 358*f/7 - 1056/7 = 0?
-176, -3
Find l such that 8*l**5/5 - 42*l**4/5 - 14*l**3/5 + 142*l**2/5 - 114*l/5 + 4 = 0.
-2, 1/4, 1, 5
Determine u so that 5*u**5 + 15*u**4 - 80*u**3 - 440*u**2 - 720*u - 400 = 0.
-2, 5
Factor 5*v**2 + 25*v.
5*v*(v + 5)
Factor 78*p**3 + 230*p**2 - 324*p + 16.
2*(p - 1)*(p + 4)*(39*p - 2)
Determine z, given that -3*z**4 + 57*z**3 + 972*z**2 + 4272*z + 5952 = 0.
-4, 31
Factor 5*x**3/2 + 617*x**2 - 1487*x/2 + 124.
(x - 1)*(x + 248)*(5*x - 1)/2
Determine k so that 6*k**3/5 - 552*k**2/5 + 2304*k + 55296/5 = 0.
-4, 48
Factor t**3 - 16*t**2 + 20*t + 400.
(t - 10)**2*(t + 4)
Solve -50*l**3/7 - 100*l**2/7 - 62*l/7 - 12/7 = 0.
-1, -3/5, -2/5
Suppose -2*l**5/3 - 40*l**4/3 + 86*l**3/3 - 44*l**2/3 = 0. What is l?
-22, 0, 1
Factor o**4 - 6*o**3 + 4*o**2 + 6*o - 5.
(o - 5)*(o - 1)**2*(o + 1)
Factor -2*b**3 - 52*b**2 - 50*b.
-2*b*(b + 1)*(b + 25)
Factor -3*z**2 + 414*z - 14283.
-3*(z - 69)**2
Let 6*w**5/7 + 80*w**4/7 + 142*w**3/7 - 804*w**2/7 + 832*w/7 - 256/7 = 0. What is w?
-8, 2/3, 1
Factor 2*y**3/11 - 148*y**2/11 - 304*y/11.
2*y*(y - 76)*(y + 2)/11
Factor 2*g**2/7 + 16*g/7 + 24/7.
2*(g + 2)*(g + 6)/7
Factor 7*w**2/2 - 533*w + 152.
(w - 152)*(7*w - 2)/2
Determine k so that -20*k**3/7 - 2708*k**2/7 + 1640*k/7 + 1088/7 = 0.
-136, -2/5, 1
Factor 4*g**3 - 80*g**2 + 400*g.
4*g*(g - 10)**2
Factor -a**4/4 - 43*a**3/4 + 93*a**2/4 + 135*a/4.
-a*(a - 3)*(a + 1)*(a + 45)/4
Factor -t**2 - 330*t - 27225.
-(t + 165)**2
Factor 5*y**5 + 225*y**4 + 2850*y**3 + 850*y**2 - 108375*y + 221085.
5*(y - 3)**2*(y + 17)**3
Suppose 2*b**2/5 - 218*b/5 - 904/5 = 0. What is b?
-4, 113
Determine g so that g**2 - 1014*g + 257049 = 0.
507
Suppose -20*d**3 - 36*d**2 + 8*d = 0. Calculate d.
-2, 0, 1/5
Determine w, given that 2*w**4/13 - 8*w**3/13 + 6*w**2/13 + 8*w/13 - 8/13 = 0.
-1, 1, 2
Factor -j**3/6 - 923*j**2/6 - 35420*j + 35574.
-(j - 1)*(j + 462)**2/6
Suppose -32*l**4/17 + 3504*l**3/17 - 1746*l**2/17 + 218*l/17 = 0. What is l?
0, 1/4, 109
Factor 4*v**2 - 11692*v.
4*v*(v - 2923)
Suppose -4*v**4 - 10296*v**3 - 6635764*v**2 - 13240656*v - 6615184 = 0. Calculate v.
-1286, -1
Factor -4*m**4/5 - 88*m**3/5 - 164*m**2/5 - 16*m.
-4*m*(m