
Factor 2*a**2/5 + 74*a/5 - 156/5.
2*(a - 2)*(a + 39)/5
Determine z, given that -2*z**5 - 12*z**4 + 30*z**3 + 232*z**2 - 96*z - 1152 = 0.
-4, 3
Factor 54*h**3 - 9*h**2 - 48*h + 15.
3*(h + 1)*(3*h - 1)*(6*h - 5)
Determine r so that -3*r**4 - 15*r**3 + 63*r**2 - 69*r + 24 = 0.
-8, 1
Let 2*z**2/5 + 18*z/5 = 0. What is z?
-9, 0
Factor -5*a**2 + 595*a - 2300.
-5*(a - 115)*(a - 4)
Factor -2*p**4/9 + 74*p**3/9 + 154*p**2/9 + 26*p/3.
-2*p*(p - 39)*(p + 1)**2/9
Factor -n**4 - 7*n**3 - 17*n**2 - 17*n - 6.
-(n + 1)**2*(n + 2)*(n + 3)
Suppose -u**3 + 28*u**2 + 1372*u + 10976 = 0. Calculate u.
-14, 56
What is n in -n**5/3 - 14*n**4/3 - 19*n**3/3 + 22*n**2 + 24*n = 0?
-12, -3, -1, 0, 2
Find r, given that -r**5 + 454*r**4 - 1805*r**3 + 2252*r**2 - 900*r = 0.
0, 1, 2, 450
Let -4*q**5 - 1416*q**4 - 125316*q**3 = 0. What is q?
-177, 0
Factor 3*s**3 - 33*s**2 + 114*s - 120.
3*(s - 5)*(s - 4)*(s - 2)
Factor 3407360*m**4 + 47354560*m**3 - 4866840*m**2 + 166185*m - 1890.
5*(m + 14)*(88*m - 3)**3
Factor 2*h**2/3 + 44*h/3 + 38.
2*(h + 3)*(h + 19)/3
Find r, given that r**4 - 15*r**3 - 33*r**2 - 17*r = 0.
-1, 0, 17
Factor -v**3/2 - 107*v**2/2 + 220*v - 222.
-(v - 2)**2*(v + 111)/2
Suppose f**5 - 8*f**4 + f**3 + 42*f**2 = 0. What is f?
-2, 0, 3, 7
Determine p, given that -5808*p**3 + 29832*p**2 - 3987*p + 135 = 0.
3/44, 5
Find v such that -2048*v**4 - 33024*v**3 - 35424*v**2 - 13068*v - 1620 = 0.
-15, -3/8
Factor -10*d**5 - 42*d**4 - 66*d**3 - 46*d**2 - 12*d.
-2*d*(d + 1)**3*(5*d + 6)
Determine j, given that 4*j**4/7 + 388*j**3/7 = 0.
-97, 0
Factor 2*w**4/3 + 20*w**3/9 + 14*w**2/9.
2*w**2*(w + 1)*(3*w + 7)/9
Factor -f**2/5 - 106*f/5 - 784/5.
-(f + 8)*(f + 98)/5
Find d, given that -60*d**4 - 592*d**3 - 876*d**2 + 168*d + 64 = 0.
-8, -2, -1/5, 1/3
Factor 5*m**3 + 125*m**2 - 410*m + 280.
5*(m - 2)*(m - 1)*(m + 28)
Determine s so that -2*s**4/15 + 188*s**3/5 - 40322*s**2/15 + 5264*s - 7840/3 = 0.
1, 140
Factor 7*t**3/2 - 187*t**2/2 + 148*t + 50.
(t - 25)*(t - 2)*(7*t + 2)/2
Determine k so that 5*k**5 + 40*k**4 - 60*k**3 - 720*k**2 = 0.
-6, 0, 4
Factor t**2/5 + 133*t.
t*(t + 665)/5
Suppose 3*t**4/7 - 48*t**3/7 + 114*t**2/7 + 48*t/7 - 117/7 = 0. Calculate t.
-1, 1, 3, 13
Find p, given that -4*p**2 - 9120*p - 5198400 = 0.
-1140
Factor 4*s**3/7 - 16*s**2 - 116*s/7.
4*s*(s - 29)*(s + 1)/7
Solve -92*c**4 - 290*c**3 - 226*c**2 - 28*c = 0 for c.
-2, -1, -7/46, 0
Let -k**4/3 - 35*k**3/3 - 323*k**2/3 - 289*k/3 = 0. Calculate k.
-17, -1, 0
Determine y so that -3*y**3/2 + 2559*y**2/2 - 1278*y = 0.
0, 1, 852
Determine r, given that -r**2/5 + 26*r/5 + 56/5 = 0.
-2, 28
Factor 3*d**2 + 7*d/2 + 1/2.
(d + 1)*(6*d + 1)/2
Factor 4*h**3 + 40*h**2 + 132*h + 144.
4*(h + 3)**2*(h + 4)
Determine g so that g**4/4 + 27*g**3/4 = 0.
-27, 0
Suppose -2*n**5 + 34*n**4 - 200*n**3 + 456*n**2 - 288*n = 0. Calculate n.
0, 1, 4, 6
Suppose 2*i**3/13 - 110*i**2/13 + 8*i + 216/13 = 0. Calculate i.
-1, 2, 54
Suppose 4*f**3/7 - 12*f**2/7 = 0. Calculate f.
0, 3
Find b such that 2*b**2/3 - 20*b/3 - 50 = 0.
-5, 15
Factor d**3/6 - 4*d**2/3 - 43*d/6 + 55/3.
(d - 11)*(d - 2)*(d + 5)/6
Factor 5*q**2 - 220*q - 460.
5*(q - 46)*(q + 2)
Factor 4*z**3 + 4256*z**2 + 1132096*z.
4*z*(z + 532)**2
Factor -4*z**4 + 2204*z**3 - 6588*z**2 + 6580*z - 2192.
-4*(z - 548)*(z - 1)**3
Let -q**5/10 + 346*q**4/5 + 694*q**3/5 = 0. Calculate q.
-2, 0, 694
Suppose o**5 - 37*o**4/5 - 86*o**3/5 + 140*o**2 + 456*o/5 - 288/5 = 0. What is o?
-4, -1, 2/5, 6
What is n in -2*n**2 - 152*n = 0?
-76, 0
Determine a, given that 4*a**5/3 + a**4/2 - 23*a**3/3 - a**2/2 + 19*a/3 = 0.
-19/8, -1, 0, 1, 2
Determine w so that -2*w**3/9 + 186*w**2 - 117040*w/3 + 349448/9 = 0.
1, 418
Determine z, given that 110*z**5 + 415*z**4 + 450*z**3 + 95*z**2 - 50*z = 0.
-2, -1, 0, 5/22
Factor -a**5 + a**3.
-a**3*(a - 1)*(a + 1)
Suppose -2*k**5/9 + 10*k**4/9 - 14*k**3/9 - 2*k**2/9 + 16*k/9 - 8/9 = 0. What is k?
-1, 1, 2
Factor 5*t**2 + 320*t + 915.
5*(t + 3)*(t + 61)
Suppose -9*p**2 + 420*p + 141 = 0. Calculate p.
-1/3, 47
Suppose 4*c**5/7 - 844*c**4/7 + 44088*c**3/7 + 46640*c**2/7 - 89888*c/7 = 0. What is c?
-2, 0, 1, 106
Solve -2*p**2 + 218*p + 904 = 0.
-4, 113
Determine t so that 5*t**3 + 25*t**2 + 20*t = 0.
-4, -1, 0
Factor 3*o**3/5 - 444*o**2/5.
3*o**2*(o - 148)/5
Suppose y**5/2 + 51*y**4/2 - 279*y**3/2 + 77*y**2/2 + 579*y - 504 = 0. Calculate y.
-56, -2, 1, 3
Suppose -4*w**2 - 200*w - 2436 = 0. What is w?
-29, -21
Factor y**3 - 900*y**2 + 3597*y/4 - 899/4.
(y - 899)*(2*y - 1)**2/4
Factor -4*l**2 + 24*l - 36.
-4*(l - 3)**2
Factor -2*a**4 - 4*a**3 + 22*a**2 + 24*a - 72.
-2*(a - 2)**2*(a + 3)**2
Solve -4*p**4 - 60*p**3 - 208*p**2 - 48*p + 320 = 0 for p.
-10, -4, -2, 1
Factor -d**4 - 174*d**3 - 7909*d**2 - 29580*d - 28900.
-(d + 2)**2*(d + 85)**2
Suppose v**3/2 + 23*v**2 + 45*v/2 = 0. Calculate v.
-45, -1, 0
Solve -5*d**4 - 70*d**3 - 295*d**2 - 350*d = 0.
-7, -5, -2, 0
Solve -14*d**2/13 - 60*d/13 - 16/13 = 0 for d.
-4, -2/7
Factor -m**4 - 6*m**3 - 13*m**2 - 12*m - 4.
-(m + 1)**2*(m + 2)**2
What is a in a**4 - 6*a**3 - 3*a**2 + 20*a - 12 = 0?
-2, 1, 6
Find n such that -2*n**3/11 + 62*n**2/11 + 54*n + 1170/11 = 0.
-5, -3, 39
Factor -q**2 - 186*q + 187.
-(q - 1)*(q + 187)
Let 2*a**4 + 90*a**3 - 186*a**2 + 94*a = 0. What is a?
-47, 0, 1
Factor -5*u**4 + 220*u**3 - 1865*u**2 + 1650*u.
-5*u*(u - 33)*(u - 10)*(u - 1)
Suppose c**2/4 - 33*c/4 - 459/2 = 0. Calculate c.
-18, 51
Find d such that -d**3/3 - 5*d**2 + 11*d - 17/3 = 0.
-17, 1
Factor 2*r**4 + 2484*r**3 + 4962*r**2 + 2480*r.
2*r*(r + 1)**2*(r + 1240)
Factor 5*y**2 - 780*y + 775.
5*(y - 155)*(y - 1)
Factor g**4/2 + 7*g**3/2 + 15*g**2/2 + 13*g/2 + 2.
(g + 1)**3*(g + 4)/2
Factor -4*l**4 + 2360*l**3 + 9488*l**2 + 9504*l.
-4*l*(l - 594)*(l + 2)**2
Factor -2*z**2/9 - 2*z/9 + 28/3.
-2*(z - 6)*(z + 7)/9
Factor n**2 - 12*n + 11.
(n - 11)*(n - 1)
Factor -3*m**5 + 54*m**4 - 36*m**3 - 1752*m**2 - 4608*m - 3456.
-3*(m - 12)**2*(m + 2)**3
Suppose -9*c**5/2 - 174*c**4 - 2901*c**3/2 - 3069*c**2 - 2460*c - 672 = 0. What is c?
-28, -8, -1, -2/3
Factor 2*f**5/3 - 5*f**4/3 + 4*f**3/3 - f**2/3.
f**2*(f - 1)**2*(2*f - 1)/3
Factor -4*b**2/5 - 8*b/5 + 32/5.
-4*(b - 2)*(b + 4)/5
Factor -h**5/10 + 21*h**4/10 - 87*h**3/5 + 71*h**2 - 285*h/2 + 225/2.
-(h - 5)**3*(h - 3)**2/10
Suppose 2*y**5/3 + 464*y**4/3 + 460*y**3/3 - 464*y**2/3 - 154*y = 0. What is y?
-231, -1, 0, 1
Suppose r**3/3 + 3*r**2 + 8*r/3 = 0. What is r?
-8, -1, 0
Factor 2*y**4/3 + 27*y**3/2 - 128*y**2/3 - 23*y/2.
y*(y - 3)*(y + 23)*(4*y + 1)/6
Find s such that -2*s**4/5 - 3*s**3/5 + s**2/5 + 3*s/5 + 1/5 = 0.
-1, -1/2, 1
Let -8*x**4 + 25*x**3 - 27*x**2 + 11*x - 1 = 0. Calculate x.
1/8, 1
Factor -t**3/7 + 30*t**2 - 1575*t.
-t*(t - 105)**2/7
Factor 16*c**3/3 + 26*c**2 - 106*c/3 + 4.
2*(c - 1)*(c + 6)*(8*c - 1)/3
Factor 6*i**2/11 + 870*i/11 - 7344/11.
6*(i - 8)*(i + 153)/11
Determine n so that 2*n**3 - 20*n**2 = 0.
0, 10
Factor 3*h**4 + 171*h**3 - 1914*h**2 + 6336*h - 6432.
3*(h - 4)**2*(h - 2)*(h + 67)
Factor 3*o**3 + 102*o**2 - 213*o + 108.
3*(o - 1)**2*(o + 36)
Factor 2*n**3/7 + 26*n**2/7 - 4*n.
2*n*(n - 1)*(n + 14)/7
Suppose 94*k**3 - 100*k**2 + 6*k = 0. What is k?
0, 3/47, 1
Factor 55*i**5 - 75*i**4 + 20*i**3.
5*i**3*(i - 1)*(11*i - 4)
What is n in 4*n**3/5 + 36672*n**2/5 + 112069632*n/5 + 114161598464/5 = 0?
-3056
Factor -25*l**3/3 + 80*l**2/3 + 76*l/3 + 16/3.
-(l - 4)*(5*l + 2)**2/3
Factor -6*g**4/7 - 12*g**3/7 + 198*g**2/7 + 540*g/7.
-6*g*(g - 6)*(g + 3)*(g + 5)/7
Determine g, given that -2*g**2 - 40*g - 72 = 0.
-18, -2
Suppose -4*l**5 + 883*l**4 + 2001*l**3 + 1337*l**2 + 223*l = 0. Calculate l.
-1, -1/4, 0, 223
Solve -4*z**4/3 + 16*z**3/3 + 44*z**2/3 + 8*z = 0.
-1, 0, 6
Determine v, given that -4*v**2 + 188*v + 192 = 0.
-1, 48
Factor -3*w**4 + 27*w**3 + 210*w**2.
-3*w**2*(w - 14)*(w + 5)
Factor 4*k**2 + 140*k - 296.
4*(k - 2)*(k + 37)
Solve 5*t**3 - 105*t**2/4 + 45*t/2 + 135/4 = 0 for t.
-3/4, 3
Solve p**2 - 3822*p + 3651921 = 0.
1911
Factor -s**4/2 - 9*s**3/2 - 15*s**2/2 - 7*s/2.
-s*(s + 1)**2*(s + 7)/2
Factor i**4/8 + 15*i**3/4 - 247*i**2/8 + 111*i/2.
i*(i - 4)*(i - 3)*(i + 37)/8
Suppose -y**4 - 51*y**3 - 49*y**2 + 51*y + 50 = 0. Calculate y.
-50, -1, 1
Suppose 2*w**4 - 20*w**3 + 14*w**2 + 36*w = 0. Calculate w.
-1, 0, 2, 9
Let 3*o**3/7 - 15*o**2/7 + 12*o/7 = 0. What is o?
0, 1, 4
F