56*i + 792 = 0.
6, 33
Factor -2*v**2 - 2152*v.
-2*v*(v + 1076)
Let 68*m**3 + 400*m**2 - 1136*m + 128 = 0. Calculate m.
-8, 2/17, 2
Suppose -2*y**2/7 + 132*y/7 - 2178/7 = 0. What is y?
33
Factor -4*k**3 + 412*k - 792.
-4*(k - 9)*(k - 2)*(k + 11)
Factor -t**4/3 + 16*t**3/3 + 323*t**2/3 - 1734*t.
-t*(t - 17)**2*(t + 18)/3
Find h, given that h**4/9 + 10*h**3 + 868*h**2/3 + 21142*h/9 - 29791/3 = 0.
-31, 3
Factor -k**3/3 - k**2 - k - 1/3.
-(k + 1)**3/3
Factor n**3 + 51*n**2 - 114*n - 424.
(n - 4)*(n + 2)*(n + 53)
Factor -2*j**3/11 - 328*j**2/11 - 12410*j/11 + 86700/11.
-2*(j - 6)*(j + 85)**2/11
Factor -g**4 - 18*g**3 - 61*g**2 + 180*g - 100.
-(g - 1)**2*(g + 10)**2
Let -n**3/2 + n**2 + 64*n - 240 = 0. Calculate n.
-12, 4, 10
Factor 2*t**2/15 - 6*t/5 - 44/15.
2*(t - 11)*(t + 2)/15
Factor 4*m**4 - 29*m**3 + 7*m**2.
m**2*(m - 7)*(4*m - 1)
Suppose -y**5/8 - 11*y**4/8 - 27*y**3/8 - 25*y**2/8 - y = 0. What is y?
-8, -1, 0
Factor 2*k**3 + 58*k**2 - 122*k + 62.
2*(k - 1)**2*(k + 31)
Factor 2*l**3/5 + 42*l**2 + 5616*l/5 + 5408/5.
2*(l + 1)*(l + 52)**2/5
Let -1715*c**4 + 293755*c**3 - 375795*c**2 + 160785*c - 22950 = 0. Calculate c.
3/7, 170
Factor -s**3/4 - 6*s**2 - 165*s/4 - 175/2.
-(s + 5)**2*(s + 14)/4
Suppose -3*n**4 - n**3 + 8*n**2 - 4*n = 0. What is n?
-2, 0, 2/3, 1
What is x in x**3/3 - x**2 - 4*x/3 = 0?
-1, 0, 4
Factor q**4/4 + 57*q**3 + 225*q**2 + 224*q.
q*(q + 2)**2*(q + 224)/4
Determine n so that 3*n**2/5 + 558*n/5 + 25947/5 = 0.
-93
Factor -g**4/4 + 9*g**3/2 - 30*g**2 + 88*g - 96.
-(g - 6)*(g - 4)**3/4
Let -3*n**4/8 - 15*n**3/4 - 87*n**2/8 - 12*n - 9/2 = 0. What is n?
-6, -2, -1
Find l, given that 2*l**2/3 - 2452*l/3 = 0.
0, 1226
Let 4*q**5 - 120*q**4 - 8*q**3 + 240*q**2 + 4*q - 120 = 0. Calculate q.
-1, 1, 30
Factor 289*a**5 + 1717*a**4 + 3192*a**3 + 1764*a**2.
a**2*(a + 1)*(17*a + 42)**2
Solve 3*j**4/5 - 216*j**3 + 1077*j**2/5 = 0 for j.
0, 1, 359
Factor 3*q**2/4 + 87*q/4.
3*q*(q + 29)/4
Factor 2*b**5/15 + 34*b**4/5 + 100*b**3 + 1748*b**2/15 - 20938*b/5 + 41154/5.
2*(b - 3)**2*(b + 19)**3/15
Factor -u**4/2 + 15*u**3/2 + 51*u**2/2 + 53*u/2 + 9.
-(u - 18)*(u + 1)**3/2
Let -2*x**2/15 - 58*x/15 + 4 = 0. Calculate x.
-30, 1
Factor -3*m**3 - 6*m**2.
-3*m**2*(m + 2)
Factor 2*u**4 - 96*u**3 + 284*u**2 + 20832*u + 94178.
2*(u - 31)**2*(u + 7)**2
What is q in -7*q**4 + 40*q**3 + 327*q**2 - 260*q - 100 = 0?
-5, -2/7, 1, 10
Solve -24*x**5 + 54*x**4 + 57*x**3 - 108*x**2 - 60*x = 0 for x.
-5/4, -1/2, 0, 2
Determine p, given that -6*p**3 + 62*p**2 - 100*p - 96 = 0.
-2/3, 3, 8
Factor -s**4 - 4*s**3 + 7*s**2 + 10*s.
-s*(s - 2)*(s + 1)*(s + 5)
Factor 2*k**3 + 4*k**2 - 238*k - 1176.
2*(k - 12)*(k + 7)**2
Factor -u**3/3 - 26*u**2 + 165*u - 252.
-(u - 3)**2*(u + 84)/3
Let 3*q**2/2 + 51*q/2 - 27 = 0. What is q?
-18, 1
What is u in 2*u**2/11 + 52*u/11 + 50/11 = 0?
-25, -1
Solve -2*p**3/3 + 2*p**2 + 122*p/3 - 42 = 0 for p.
-7, 1, 9
Determine a, given that a**2 - 829*a + 2478 = 0.
3, 826
Suppose -x**4/5 + 91*x**3/5 - 264*x**2/5 - 4*x/5 + 352/5 = 0. What is x?
-1, 2, 88
Solve -4*r**3/3 - 208*r**2/3 + 732*r = 0.
-61, 0, 9
What is a in -2*a**2/25 + 36*a/25 = 0?
0, 18
Let -23*h**2/4 - 21*h/4 + 1/2 = 0. Calculate h.
-1, 2/23
Let -2*f**3/7 + 1108*f**2/7 - 22080*f + 304704/7 = 0. Calculate f.
2, 276
Let -5*m**4 - 1350*m**3 = 0. What is m?
-270, 0
Factor 3*q**3 - 36*q**2 + 108*q.
3*q*(q - 6)**2
Solve -54*n**5/7 + 54*n**4/7 + 198*n**3 + 190*n**2 + 436*n/7 + 48/7 = 0.
-4, -1/3, 6
Factor -2*z**3/9 + 32*z**2/9 - 86*z/9 - 40/3.
-2*(z - 12)*(z - 5)*(z + 1)/9
Factor -10*x**2 + 125*x + 65.
-5*(x - 13)*(2*x + 1)
Solve -3*s**2 - 69*s - 66 = 0.
-22, -1
Let 2*u**3/19 - 22*u**2/19 - 442*u/19 + 5070/19 = 0. Calculate u.
-15, 13
Suppose 2*a**4/11 + 882*a**3/11 + 97676*a**2/11 + 8640*a - 17600 = 0. What is a?
-220, -2, 1
Suppose 4*o**3 + 18*o**2 + 24*o + 8 = 0. What is o?
-2, -1/2
Factor 5*a**2/3 + 2480*a + 7435/3.
5*(a + 1)*(a + 1487)/3
Factor 20*y**3 - 8145*y**2 - 6125*y + 2040.
5*(y - 408)*(y + 1)*(4*y - 1)
What is g in -2916*g**4 - 104544*g**3 - 929248*g**2 + 139392*g - 5184 = 0?
-18, 2/27
Factor 12*n**3 - 15*n**2 - 18*n.
3*n*(n - 2)*(4*n + 3)
Determine q so that -q**3/2 - 120*q**2 - 7200*q = 0.
-120, 0
Determine d so that 9*d**4/8 - 15*d**3/4 - 27*d**2/8 + 15*d - 9/2 = 0.
-2, 1/3, 2, 3
Suppose -2*x**4/19 + 4*x**3/19 - 4*x/19 + 2/19 = 0. Calculate x.
-1, 1
Factor -2*g**5/11 - 28*g**4/11 - 98*g**3/11.
-2*g**3*(g + 7)**2/11
Suppose 5*x**5 - 255*x**4 + 3750*x**3 - 4370*x**2 - 157035*x - 308655 = 0. Calculate x.
-3, 19
Find c, given that 4*c**4 - 20*c**3 + 8*c**2 + 32*c = 0.
-1, 0, 2, 4
Determine a so that a**4/6 + 7*a**3/6 - 30*a**2 + 424*a/3 - 608/3 = 0.
-19, 4
Find n, given that n**3 - 24*n**2 + 75*n + 100 = 0.
-1, 5, 20
Factor 2*q**2 + 590*q.
2*q*(q + 295)
Factor -3*v**4 + 903*v**3 - 900*v**2.
-3*v**2*(v - 300)*(v - 1)
Suppose -2*f**5 + 26*f**4/3 + 1072*f**3/9 - 48*f**2 - 928*f/9 + 160/3 = 0. Calculate f.
-6, -1, 2/3, 10
Suppose -3*s**2/5 - 24*s/5 - 36/5 = 0. Calculate s.
-6, -2
Factor n**2/4 - 2*n - 33/4.
(n - 11)*(n + 3)/4
Suppose 2*u**3/11 + 2*u**2/11 - 4*u/11 = 0. What is u?
-2, 0, 1
Determine s so that s**2 + 46*s/3 - 32/3 = 0.
-16, 2/3
Solve 2*v**4/15 + 2*v**3 + 46*v**2/15 - 154*v/5 = 0 for v.
-11, -7, 0, 3
Let 3*z**2/8 + 1677*z/8 + 837/4 = 0. Calculate z.
-558, -1
Factor 4*r**2 - 1696*r + 179776.
4*(r - 212)**2
Factor -2*p**3 + 6*p**2 - 8.
-2*(p - 2)**2*(p + 1)
Let 2*s**5/5 - 6*s**4/5 - 68*s**3/5 + 396*s**2/5 - 702*s/5 + 378/5 = 0. What is s?
-7, 1, 3
Find w, given that 2*w**2/15 - 14*w/3 - 148/15 = 0.
-2, 37
Let 5*g**2 + 11100*g + 11095 = 0. What is g?
-2219, -1
Solve -5*t**2 + 5450*t - 1485125 = 0.
545
Factor q**2 + 403*q.
q*(q + 403)
Factor -2*j**2/5 + 368*j/5 - 16928/5.
-2*(j - 92)**2/5
Factor -4*i**2/5 - 168*i - 836/5.
-4*(i + 1)*(i + 209)/5
Determine m so that -155*m**3 + 1560*m**2 - 3975*m + 250 = 0.
2/31, 5
Factor 4*h**3 - 3228*h**2 + 6440*h.
4*h*(h - 805)*(h - 2)
Solve -2*g**5/7 - 4*g**4/7 + 2*g**3/7 + 4*g**2/7 = 0 for g.
-2, -1, 0, 1
Factor -5*z**4 - 50*z**3 - 120*z**2 + 50*z + 125.
-5*(z - 1)*(z + 1)*(z + 5)**2
Determine n, given that n**2/4 + 43*n/4 = 0.
-43, 0
Factor -2*o**4/5 + 176*o**3 + 1768*o**2/5.
-2*o**2*(o - 442)*(o + 2)/5
Factor -3*q**3 + 15*q**2 - 24*q + 12.
-3*(q - 2)**2*(q - 1)
Factor -3*w**2/7 + 4*w/7 + 32/7.
-(w - 4)*(3*w + 8)/7
Factor 9*p**3/2 - 17*p**2 - 60*p.
p*(p - 6)*(9*p + 20)/2
Factor -2*o**4/7 + 300*o**3/7 - 12650*o**2/7 + 15000*o - 35000.
-2*(o - 70)**2*(o - 5)**2/7
Let -4*a**3/7 + 164*a**2/7 - 720*a/7 = 0. What is a?
0, 5, 36
Factor -6*z**4 + 166*z**3 - 108*z**2.
-2*z**2*(z - 27)*(3*z - 2)
Suppose 15*n**5 + 20*n**4 - 10*n**3 - 20*n**2 - 5*n = 0. Calculate n.
-1, -1/3, 0, 1
Solve v**3/4 - 13*v**2/4 - 29*v/4 - 15/4 = 0 for v.
-1, 15
Find t such that 2*t**3/3 - 82*t**2/3 + 50*t + 78 = 0.
-1, 3, 39
What is q in 2*q**2/9 + 128*q/9 + 224 = 0?
-36, -28
What is c in 3*c**2 + 879*c - 6300 = 0?
-300, 7
Factor 2*r**3/7 + 958*r**2/7 + 944*r/7 - 5736/7.
2*(r - 2)*(r + 3)*(r + 478)/7
Determine r, given that r**4/5 - 8*r**3/5 + 19*r**2/5 - 12*r/5 = 0.
0, 1, 3, 4
Determine c, given that 3*c**2 - 1224*c + 124848 = 0.
204
Let -2*h**3 + 46*h**2 + 576*h = 0. What is h?
-9, 0, 32
Let -39*p**3/4 - 33*p**2/4 + 3*p/2 = 0. What is p?
-1, 0, 2/13
Factor -4*p**2 + 5436*p - 5432.
-4*(p - 1358)*(p - 1)
Factor -5*u**4 + 85*u**3 - 315*u**2 + 135*u + 540.
-5*(u - 12)*(u - 3)**2*(u + 1)
What is v in -3*v**2/5 + 126*v/5 = 0?
0, 42
What is l in -l**2/8 + 17*l/4 - 26 = 0?
8, 26
Find a, given that -36*a**3 + 183*a**2 - 300*a + 156 = 0.
13/12, 2
Find n such that -2*n**2/13 + 5676*n/13 - 4027122/13 = 0.
1419
Let 3*z**5/4 + 155*z**4 - 209*z**3/4 - 207*z**2/2 = 0. What is z?
-207, -2/3, 0, 1
Suppose 2*n**5/11 + 28*n**4/11 + 96*n**3/11 + 36*n**2/11 - 162*n/11 = 0. Calculate n.
-9, -3, 0, 1
Let -3*s**4/5 + 6*s**3/5 = 0. What is s?
0, 2
Find t such that -140*t**3 + 148*t**2 + 832*t - 48 = 0.
-2, 2/35, 3
Factor 4*o**3/3 + 8*o**2 + 44*o/3 + 8.
4*(o + 1)*(o + 2)*(o + 3)/3
What is w in -2*w**2 + 3554*w - 7100 = 0?
2, 1775
Factor 9*f**3/5 + 1848*f**2 + 6157*f/5 + 1026/5.
(f + 1026)*(3*f + 1)**2/5
Factor 2*s**3 + 16*s**2 - 38*s + 20.
2*(s - 1)**2*(s + 10)
Determine c so that c**2/5 + 5406*c/5 + 7306209/5 = 0.
-2703
Factor a**2/3 + 4*a - 28/3.
(a - 2)*(a + 14)/3
Let -14*c**5/17 + 116*c**4/17