+ 2216*c**2/3 - 4429*c/3 + 738.
-(c - 2214)*(c - 1)**2/3
Let 4*r**2 - 17776*r + 19749136 = 0. What is r?
2222
Factor -7*w**2/11 - 162*w/11 + 144/11.
-(w + 24)*(7*w - 6)/11
Find s, given that -4*s**5 + 396*s**4 - 9580*s**3 - 12012*s**2 + 51200*s - 30000 = 0.
-3, 1, 50
Factor 4*c**4 + 4*c**3 - 4*c**2 - 4*c.
4*c*(c - 1)*(c + 1)**2
Factor -3*n**4 - 1050*n**3 + 2109*n**2 - 1056*n.
-3*n*(n - 1)**2*(n + 352)
Suppose 2*z**2/5 + 128*z/5 + 126/5 = 0. What is z?
-63, -1
Find i such that i**2/7 - 19*i/7 + 34/7 = 0.
2, 17
Factor v**4/4 - 3*v**3/4 + v.
v*(v - 2)**2*(v + 1)/4
Factor 4*w**4 - 32*w**3 + 60*w**2 + 32*w - 64.
4*(w - 4)**2*(w - 1)*(w + 1)
Factor 5*s**5 - 55*s**4 + 135*s**3 - 125*s**2 + 40*s.
5*s*(s - 8)*(s - 1)**3
Factor 3*f**4/4 - 51*f**3/2 + 963*f**2/4 - 408*f + 192.
3*(f - 16)**2*(f - 1)**2/4
Factor 2*j**2 - 57*j + 351.
(j - 9)*(2*j - 39)
Factor x**2/8 + 3*x/2 - 7/2.
(x - 2)*(x + 14)/8
Factor -2*n**3/17 - 80*n**2/17 - 536*n/17 - 768/17.
-2*(n + 2)*(n + 6)*(n + 32)/17
What is k in k**3/3 - 115*k**2/3 + 1224*k - 6804 = 0?
7, 54
Let 2*h**4/3 - 20*h**3/3 + 16*h**2 = 0. What is h?
0, 4, 6
Let 2*l**3 - 276*l**2 + 12696*l - 194672 = 0. Calculate l.
46
Determine k so that -5*k**5 - 50*k**4 - 155*k**3 - 130*k**2 + 140*k + 200 = 0.
-5, -2, 1
Find g such that 3*g**4 - 12*g**3 - 18*g**2 + 12*g + 15 = 0.
-1, 1, 5
Let d**3/3 + 10*d**2/3 - 8*d = 0. What is d?
-12, 0, 2
Factor j**4 - 158*j**3 + 6396*j**2 - 12168*j.
j*(j - 78)**2*(j - 2)
Find q such that q**2/4 + 9*q/2 + 8 = 0.
-16, -2
Factor 5*t**4 - 30*t**3 - 135*t**2 + 540*t + 1620.
5*(t - 6)**2*(t + 3)**2
Let 3*m**2/5 - 2751*m/5 + 1098 = 0. What is m?
2, 915
Find i, given that 2*i**2/7 - 282*i/7 - 572/7 = 0.
-2, 143
What is w in 3*w**5 + 27*w**4 + 93*w**3 + 153*w**2 + 120*w + 36 = 0?
-3, -2, -1
Factor -5*a**4 - 345*a**3 - 6110*a**2 - 5100*a + 11560.
-5*(a - 1)*(a + 2)*(a + 34)**2
Solve -5*c**3 - 10*c**2 + 5*c + 10 = 0.
-2, -1, 1
Factor 2*o**2 + 374*o/3 + 124/3.
2*(o + 62)*(3*o + 1)/3
Factor -p**3 + 157*p**2 - 311*p + 155.
-(p - 155)*(p - 1)**2
Factor l**3/4 - 135*l**2/2 + 267*l - 266.
(l - 266)*(l - 2)**2/4
Factor 45*l**4 - 105*l**3 - 190*l**2 + 340*l - 120.
5*(l - 3)*(l + 2)*(3*l - 2)**2
Factor 3*b**2/2 + 9*b - 60.
3*(b - 4)*(b + 10)/2
Factor 16*i**4 + 84*i**3 - 492*i**2 + 448*i + 144.
4*(i - 2)**2*(i + 9)*(4*i + 1)
Suppose -1331*h**3/4 - 14641*h**2/2 - 39589*h + 7442 = 0. What is h?
-122/11, 2/11
Find m, given that 4*m**4/7 + 212*m**3/7 + 596*m**2/7 - 212*m/7 - 600/7 = 0.
-50, -3, -1, 1
Let 4*x**2 - 302*x + 298 = 0. What is x?
1, 149/2
Suppose -x**2 + 120*x + 121 = 0. Calculate x.
-1, 121
Factor -2*b**4 + 504*b**3 - 41820*b**2 + 1098200*b + 3684750.
-2*(b - 85)**3*(b + 3)
Factor -7803*c**2/2 + 765*c/2 - 75/8.
-3*(102*c - 5)**2/8
Find f, given that f**5/7 + 1450*f**4/7 + 524173*f**3/7 - 1052700*f**2/7 + 527076*f/7 = 0.
-726, 0, 1
Factor 3*h**2/5 - 51*h/5 + 48/5.
3*(h - 16)*(h - 1)/5
Factor 18*n**2 + 116*n - 224.
2*(n + 8)*(9*n - 14)
Suppose 6*o**5 + 14*o**4 - 4*o**3/3 - 40*o**2/3 - 16*o/3 = 0. What is o?
-2, -2/3, 0, 1
Let 3*n**5 - 12*n**3 - 6*n**2 + 9*n + 6 = 0. Calculate n.
-1, 1, 2
Factor -3*w**2 - 306*w - 7803.
-3*(w + 51)**2
Factor -k**4/2 - 17*k**3/2 + 30*k**2 - 2*k - 40.
-(k - 2)**2*(k + 1)*(k + 20)/2
Determine k, given that -2*k**4/15 - 46*k**3/15 - 286*k**2/15 - 242*k/15 = 0.
-11, -1, 0
Factor 3*l**2 - 36*l + 105.
3*(l - 7)*(l - 5)
Find r, given that -6*r**4/7 + 1318*r**3/7 + 444*r**2/7 - 880*r/7 = 0.
-1, 0, 2/3, 220
Suppose 5*v**3 - 15*v**2 - 5*v + 15 = 0. What is v?
-1, 1, 3
Factor 2*m**3/13 + 108*m**2/13 + 1848*m/13 + 9680/13.
2*(m + 10)*(m + 22)**2/13
Factor 16*w**3/11 + 10*w**2 + 82*w/11 - 12/11.
2*(w + 1)*(w + 6)*(8*w - 1)/11
Solve -s**4 - 15*s**3 - 84*s**2 - 208*s - 192 = 0.
-4, -3
Factor -25*c**2/4 - 195*c/2 - 1521/4.
-(5*c + 39)**2/4
Solve 3*u**4 + 36*u**3 + 63*u**2 + 30*u = 0.
-10, -1, 0
Factor -t**3 - 29*t**2 - 74*t + 104.
-(t - 1)*(t + 4)*(t + 26)
Factor 5*j**4 + 200*j**3 + 1195*j**2 + 1240*j - 2640.
5*(j - 1)*(j + 4)**2*(j + 33)
Factor 2*q**4/3 - 2*q**3/3 - 2*q**2 + 2*q/3 + 4/3.
2*(q - 2)*(q - 1)*(q + 1)**2/3
Factor 2*x**2/5 + 4*x/5.
2*x*(x + 2)/5
Determine y so that -4*y**2 + 136*y/3 = 0.
0, 34/3
What is i in 2*i**2 + 84*i + 882 = 0?
-21
Factor p**5/3 - 4*p**4/3 - p**3 + 10*p**2/3 + 8*p/3.
p*(p - 4)*(p - 2)*(p + 1)**2/3
Factor -10*v**3/13 - 336*v**2/13 - 2376*v/13 + 7776/13.
-2*(v + 18)**2*(5*v - 12)/13
Find m such that -5*m**3 + 50*m**2 + 65*m - 110 = 0.
-2, 1, 11
Factor -z**4 - z**3 + 3*z**2 + z - 2.
-(z - 1)**2*(z + 1)*(z + 2)
Let 3*y**4 - 1056*y**3 + 4191*y**2 - 5226*y + 2088 = 0. What is y?
1, 2, 348
Suppose 2*o**4 - 224*o**3/11 + 744*o**2/11 - 832*o/11 + 128/11 = 0. Calculate o.
2/11, 2, 4
Factor 4*i**3/5 - 46*i**2/5 - 24*i/5.
2*i*(i - 12)*(2*i + 1)/5
Factor 2*i**4/13 - 214*i**3/13 - 654*i**2/13 - 658*i/13 - 220/13.
2*(i - 110)*(i + 1)**3/13
Let j**4/6 + 11*j**3/3 = 0. What is j?
-22, 0
Find d such that 3*d**3/4 - 15*d**2/2 - 225*d/4 = 0.
-5, 0, 15
Factor 3*y**2/2 - 138*y + 273/2.
3*(y - 91)*(y - 1)/2
Factor 3*y**4 - 15*y**3 - 72*y**2 - 12*y + 96.
3*(y - 8)*(y - 1)*(y + 2)**2
Let 2*p**2 - 408*p + 20808 = 0. Calculate p.
102
Let -25*h**5/12 - 21065*h**4/4 - 13330973*h**3/4 - 71843233*h**2/12 - 3191180*h - 531723 = 0. Calculate h.
-1263, -1, -2/5
Suppose 3*c**2/5 - 30*c + 147/5 = 0. What is c?
1, 49
Find d, given that -3*d**4 - 12*d**3 + 117*d**2 - 162*d = 0.
-9, 0, 2, 3
Determine v so that 6*v**3 + 82*v**2 - 28*v = 0.
-14, 0, 1/3
Factor 2*b**4 - 168*b**3 + 330*b**2 - 164*b.
2*b*(b - 82)*(b - 1)**2
Factor -20*d**2 - 30385*d - 7595.
-5*(d + 1519)*(4*d + 1)
Solve 2*f**2/3 + 66*f + 388/3 = 0.
-97, -2
Factor 5*p**2/6 + 19*p/3 + 11/2.
(p + 1)*(5*p + 33)/6
Factor -2*l**3/9 - 10*l**2/9 + 44*l/9 - 32/9.
-2*(l - 2)*(l - 1)*(l + 8)/9
Determine x so that x**5/5 + 8*x**4/5 + 2*x**3 - 28*x**2/5 - 11*x/5 + 4 = 0.
-5, -4, -1, 1
Factor 4*h**2 - 1232*h - 1236.
4*(h - 309)*(h + 1)
Determine f, given that -5*f**2 + 25*f + 30 = 0.
-1, 6
Factor -2*i**4 - 56*i**3 - 534*i**2 - 1888*i - 1408.
-2*(i + 1)*(i + 8)**2*(i + 11)
Factor -3*t**2/2 - 105*t - 207/2.
-3*(t + 1)*(t + 69)/2
Factor -2*i**3 + 22*i**2 + 32*i - 640.
-2*(i - 8)**2*(i + 5)
Let -3*l**4 - 15*l**3 = 0. What is l?
-5, 0
Suppose -20*g**4 - 132*g**3 - 264*g**2/5 + 128*g + 384/5 = 0. Calculate g.
-6, -4/5, 1
Solve -21*w**4 + 15*w**3 + 27*w**2 - 15*w - 6 = 0 for w.
-1, -2/7, 1
Suppose 5*c**4 + 940*c**3 + 45105*c**2 + 86490*c = 0. What is c?
-93, -2, 0
Factor 25*v**3/2 - 295*v**2/4 + 105*v + 45/4.
5*(v - 3)**2*(10*v + 1)/4
What is k in 3*k**2/2 + 1170*k + 6993/2 = 0?
-777, -3
Let -x**3 - 9*x**2 - 11*x + 21 = 0. What is x?
-7, -3, 1
What is v in 33*v**2 - 2994*v - 819 = 0?
-3/11, 91
Factor -3*d**5/4 + 75*d**4/4.
-3*d**4*(d - 25)/4
Determine o, given that -4*o**3 - 8*o**2 + 28*o - 16 = 0.
-4, 1
Determine k so that -14*k**4 + 80*k**3 + 878*k**2 - 680*k - 264 = 0.
-6, -2/7, 1, 11
Factor 30*w**3 + 115*w**2 + 100*w - 20.
5*(w + 2)**2*(6*w - 1)
Solve -4*b**2 - 184*b + 2784 = 0.
-58, 12
Factor 4*m**4 - 80*m**3 + 188*m**2 + 272*m.
4*m*(m - 17)*(m - 4)*(m + 1)
Let 4*v**3 + 48*v**2 + 80*v = 0. What is v?
-10, -2, 0
Determine k, given that 3*k**3 - 30*k**2 + 96*k - 96 = 0.
2, 4
Factor 2*n**4/3 - 20*n**3/3 + 58*n**2/3 - 64*n/3 + 8.
2*(n - 6)*(n - 2)*(n - 1)**2/3
Let i**5 - 12*i**4 + 35*i**3 + 12*i**2 - 36*i = 0. What is i?
-1, 0, 1, 6
Find g such that -2*g**5/3 - 71*g**4/6 - 169*g**3/3 - 439*g**2/6 + 22*g = 0.
-11, -4, -3, 0, 1/4
Factor -t**4/7 + 24*t**3/7 - 191*t**2/7 + 564*t/7 - 396/7.
-(t - 11)*(t - 6)**2*(t - 1)/7
Solve -8*s**3/13 + 1322*s**2/13 - 1642*s/13 + 328/13 = 0 for s.
1/4, 1, 164
Factor -2*j**4/7 - 22*j**3/7 - 38*j**2/7 - 18*j/7.
-2*j*(j + 1)**2*(j + 9)/7
Solve -24*a**3 + 116*a**2 - 124*a - 24 = 0.
-1/6, 2, 3
Factor -5*j**3 - 30*j**2 - 55*j - 30.
-5*(j + 1)*(j + 2)*(j + 3)
Factor -p**2/6 + 5*p + 68/3.
-(p - 34)*(p + 4)/6
Factor 15*x**4 + 66*x**3 + 69*x**2 + 18*x.
3*x*(x + 1)*(x + 3)*(5*x + 2)
Factor 2*m**2/5 + 364*m - 3648/5.
2*(m - 2)*(m + 912)/5
Factor -a**4/2 - 139*a**3/2 + 358*a**2 - 288*a.
-a*(a - 4)*(a - 1)*(a + 144)/2
Factor 2*x**3/9 + 8*x**2/3 + 82*x/9 + 20/3.
2*(x + 1)*(x + 5)*(x + 6)/9
Factor 8*h**4 - 874*h**3 + 218*h**2.
2*h**2*(h - 109)*(4*h - 1)
Factor 4*j**2 - 5420*j.
4*j*(j - 1355)
Factor 10*r**2/19 - 1222*r/19 + 244/19.
2*(r 