 5)**2/13
Solve 2*y**3/11 - 48*y**2/11 + 288*y/11 = 0.
0, 12
Factor -4*s**2/3 - 32*s/3 - 28/3.
-4*(s + 1)*(s + 7)/3
Factor 3*k**2/8 - 12*k + 45/2.
3*(k - 30)*(k - 2)/8
Let 2*w**4/7 + 386*w**3/7 + 18426*w**2/7 - 19594*w/7 - 37636/7 = 0. What is w?
-97, -1, 2
Factor 6*m**3 + 2301*m**2 - 5784*m + 2316.
3*(m - 2)*(m + 386)*(2*m - 1)
Find w such that 2*w**4/3 + 4*w**3/3 - 6*w**2 - 4*w/3 + 16/3 = 0.
-4, -1, 1, 2
Factor -m**3/5 + m/5.
-m*(m - 1)*(m + 1)/5
Determine l, given that -116*l**2 + 472*l - 32 = 0.
2/29, 4
Solve -2*o**4/7 - 6*o**3/7 + 2*o**2/7 + 6*o/7 = 0 for o.
-3, -1, 0, 1
Let -5*l**3/3 - 22*l**2/3 - 8*l/3 = 0. Calculate l.
-4, -2/5, 0
Factor -p**4/3 + 4*p**3 - 41*p**2/3 + 14*p.
-p*(p - 7)*(p - 3)*(p - 2)/3
Factor 2*d**4/9 + 26*d**3/9 + 94*d**2/9 + 118*d/9 + 16/3.
2*(d + 1)**2*(d + 3)*(d + 8)/9
Let 242*c**4/13 + 1540*c**3/13 + 536*c**2/13 + 48*c/13 = 0. Calculate c.
-6, -2/11, 0
Factor 133956*x**2 - 2928*x + 16.
4*(183*x - 2)**2
Determine o so that -2*o**4/13 + 2*o**3/13 + 6*o**2/13 - 10*o/13 + 4/13 = 0.
-2, 1
Factor -5*l**2/3 + 740*l/3 - 27380/3.
-5*(l - 74)**2/3
Factor -3*v**5 - 12*v**4 - 18*v**3 - 12*v**2 - 3*v.
-3*v*(v + 1)**4
Factor j**2/4 - 103*j/4 - 26.
(j - 104)*(j + 1)/4
Factor 4*p**5/7 + 4*p**4/7 - 8*p**3/7.
4*p**3*(p - 1)*(p + 2)/7
Let -2*g**3/3 + 118*g**2/3 - 1406*g/3 + 430 = 0. Calculate g.
1, 15, 43
Let -20*i**2/7 + 86*i/7 - 24/7 = 0. What is i?
3/10, 4
Factor -g**2 + 166*g + 2520.
-(g - 180)*(g + 14)
Factor -7*t**3/2 - t**2 + 14*t + 4.
-(t - 2)*(t + 2)*(7*t + 2)/2
Factor -2*s**2 - 38032*s - 180804128.
-2*(s + 9508)**2
Determine q so that -2*q**5/3 - 6*q**4 + 34*q**3 + 394*q**2/3 + 140*q + 48 = 0.
-12, -1, 6
Find n such that -n**4/3 - 3*n**3 + 337*n**2/3 + 115*n = 0.
-23, -1, 0, 15
Find q such that 2*q**2/9 + 34*q/3 + 60 = 0.
-45, -6
Solve 35*x**4/3 - 15*x**3 - 130*x**2/3 + 60*x - 40/3 = 0 for x.
-2, 2/7, 1, 2
Factor 2*k**4 - 94*k**3 - 96*k**2.
2*k**2*(k - 48)*(k + 1)
Find q such that 2*q**5/21 + 4*q**4/3 + 8*q**3/7 - 4*q**2/3 - 26*q/21 = 0.
-13, -1, 0, 1
Let 4*k**3/13 - 506*k**2/13 + 152*k - 1960/13 = 0. Calculate k.
2, 245/2
Factor -l**4 + 16*l**3.
-l**3*(l - 16)
What is t in 5*t**4 + 20*t**3 - 55*t**2 + 30*t = 0?
-6, 0, 1
Factor -10*k**3 + 102*k**2 - 180*k + 32.
-2*(k - 8)*(k - 2)*(5*k - 1)
Suppose -5*p**4/3 - 1110*p**3 - 561065*p**2/3 - 734820*p - 2191220/3 = 0. Calculate p.
-331, -2
Determine h so that -2*h**4 + 12*h**3 + 2*h**2 - 108*h + 144 = 0.
-3, 2, 3, 4
Solve -n**4 + 53*n**3/5 - 28*n**2/5 - 4*n = 0 for n.
-2/5, 0, 1, 10
Factor 2*f**2 + 86*f - 88.
2*(f - 1)*(f + 44)
Factor k**5/5 - 2*k**4 + 32*k**3/5 - 32*k**2/5.
k**2*(k - 4)**2*(k - 2)/5
Determine v so that -5*v**2 + 125*v + 270 = 0.
-2, 27
Factor -5*g**4/3 + 10*g**3/3 - 5*g**2/3.
-5*g**2*(g - 1)**2/3
Factor 5*f**2 + 90*f + 405.
5*(f + 9)**2
Factor 27*o**5/4 - 363*o**4 + 19359*o**3/4 + 2187*o**2/2.
3*o**2*(o - 27)**2*(9*o + 2)/4
Determine t so that 18*t**4 + 174*t**3 + 248*t**2 - 584*t + 224 = 0.
-7, -4, 2/3
Determine s, given that -2*s**2 - 13580*s - 23052050 = 0.
-3395
Let -r**5/4 + 81*r**4/4 - 79*r**3/2 - r**2/2 + 159*r/4 - 79/4 = 0. What is r?
-1, 1, 79
Factor -5*b**3 + 375*b**2 - 4270*b.
-5*b*(b - 61)*(b - 14)
Factor s**2/7 + 59*s/7 - 186/7.
(s - 3)*(s + 62)/7
Factor -3*x**2/4 - 561*x - 104907.
-3*(x + 374)**2/4
Factor m**2/2 + 19*m.
m*(m + 38)/2
Find x, given that 8*x**5/5 - 36*x**4/5 + 56*x**3/5 - 36*x**2/5 + 8*x/5 = 0.
0, 1/2, 1, 2
Factor p**2/9 - 4*p/9 - 32/9.
(p - 8)*(p + 4)/9
Find t such that 2*t**4 + 100*t**3 - 208*t**2 = 0.
-52, 0, 2
Suppose -27*n**2 - 5133*n - 570 = 0. Calculate n.
-190, -1/9
Factor -35*t**4 + 95*t**3 + 380*t**2 + 100*t.
-5*t*(t - 5)*(t + 2)*(7*t + 2)
Factor -2*r**3 - 588*r**2 - 43218*r.
-2*r*(r + 147)**2
Factor -2*u**2/3 - 1572*u + 4718/3.
-2*(u - 1)*(u + 2359)/3
What is y in -y**2 - 148*y - 5476 = 0?
-74
Determine f so that -2*f**3/9 - 1736*f**2/9 - 42240*f - 165888 = 0.
-432, -4
Factor -2*s**3/3 + 1562*s**2/3 - 307310*s/3 + 302642.
-2*(s - 389)**2*(s - 3)/3
Determine o so that 151875*o**4/7 - 40500*o**3/7 + 4050*o**2/7 - 180*o/7 + 3/7 = 0.
1/15
Factor -f**5 - 259*f**4 - 16640*f**3 + 16900*f**2.
-f**2*(f - 1)*(f + 130)**2
What is m in m**3/3 - 20*m**2/3 + 19*m/3 = 0?
0, 1, 19
Let 6*j**5 - 33*j**4 + 72*j**3 - 78*j**2 + 42*j - 9 = 0. What is j?
1, 3/2
What is l in 131*l**3/2 + 127*l**2/4 - l/2 = 0?
-1/2, 0, 2/131
Factor -3*d**3/4 - 105*d**2/2 - 2691*d/4 + 9126.
-3*(d - 8)*(d + 39)**2/4
Find n, given that -160*n**2 + 64*n - 6 = 0.
3/20, 1/4
Let l**2/4 + 36*l - 73 = 0. Calculate l.
-146, 2
Suppose -5*g**3 - 305*g**2 - 6195*g - 41895 = 0. Calculate g.
-21, -19
Determine z, given that 3*z**3/2 - 15*z**2/2 - 387*z/2 - 945/2 = 0.
-7, -3, 15
Factor -r**2/2 + 6*r.
-r*(r - 12)/2
Factor -y**2/3 - 7*y - 20/3.
-(y + 1)*(y + 20)/3
Solve 40*f**3 + 36*f**2 - 12*f - 8 = 0.
-1, -2/5, 1/2
Factor 15*b**3/2 - 55*b**2 + 195*b/2 - 50.
5*(b - 5)*(b - 1)*(3*b - 4)/2
Suppose -2*h**3/5 - 8*h**2 + 184*h/5 - 192/5 = 0. What is h?
-24, 2
Solve 2*d**2/3 + 52*d/3 - 658 = 0 for d.
-47, 21
Solve -4*z**4/3 - 14*z**3 - 148*z**2/3 - 64*z - 64/3 = 0 for z.
-4, -2, -1/2
Factor 2*s**5 - 924*s**4 + 4588*s**3 - 8240*s**2 + 6402*s - 1828.
2*(s - 457)*(s - 2)*(s - 1)**3
Factor -9*m**2/7 - 948*m/7 + 636/7.
-3*(m + 106)*(3*m - 2)/7
Solve -4*b**5 + b**4 + 39*b**3 - 9*b**2 - 27*b = 0.
-3, -3/4, 0, 1, 3
Factor 5*x**3 - 340*x**2 + 2475*x - 4500.
5*(x - 60)*(x - 5)*(x - 3)
Factor -6*l**4 + 25*l**3 + 33*l**2 - 33*l - 35.
-(l - 5)*(l + 1)**2*(6*l - 7)
Factor -c**5 + 39*c**4 + 40*c**3.
-c**3*(c - 40)*(c + 1)
Suppose q**3 + 5*q**2 + 6*q = 0. What is q?
-3, -2, 0
Suppose -x**4 - 35*x**3 - 211*x**2 - 429*x - 252 = 0. What is x?
-28, -3, -1
What is i in i**3/3 - 14*i**2/3 + 43*i/3 - 10 = 0?
1, 3, 10
Determine w so that -2*w**2 - 3746*w - 3744 = 0.
-1872, -1
Factor -4*r**4 - 8*r**3 + 28*r**2 - 16*r.
-4*r*(r - 1)**2*(r + 4)
Find b such that 4*b**3 - 68*b**2 + 320*b - 256 = 0.
1, 8
Let k**3 - 2*k**2 = 0. What is k?
0, 2
Factor 2*a**5 - 12*a**4 + 18*a**3 + 8*a**2 - 24*a.
2*a*(a - 3)*(a - 2)**2*(a + 1)
Factor 2*w**5/7 + 122*w**4/7 - 512*w**3/7 + 520*w**2/7.
2*w**2*(w - 2)**2*(w + 65)/7
Let 4*u**5 + 836*u**4 - 6872*u**3 + 15624*u**2 - 108*u - 23436 = 0. Calculate u.
-217, -1, 3
Factor 11*b**2 - 67*b/3 + 2/3.
(b - 2)*(33*b - 1)/3
Factor -3*s**3 + 45*s**2 + 264*s - 684.
-3*(s - 19)*(s - 2)*(s + 6)
Let -2*o**5 - 9*o**4 + 26*o**2 - 6*o - 9 = 0. What is o?
-3, -1/2, 1
What is h in -2*h**2 + 12532*h - 19631378 = 0?
3133
Factor -4*z**4 + 28*z**3 + 12*z**2 - 92*z + 56.
-4*(z - 7)*(z - 1)**2*(z + 2)
What is r in -6*r**5 - 45*r**4 - 105*r**3 - 90*r**2 - 24*r = 0?
-4, -2, -1, -1/2, 0
Solve 4*f**3 + 5080*f**2 - 4*f - 5080 = 0 for f.
-1270, -1, 1
Factor 26*g**2 - 1478*g - 228.
2*(g - 57)*(13*g + 2)
Let -i**3 - 53*i**2 - 376*i - 720 = 0. What is i?
-45, -4
What is v in 3*v**2/7 + 36*v + 249/7 = 0?
-83, -1
Determine a, given that -3*a**3 + 147*a**2 - 285*a + 141 = 0.
1, 47
Factor -5*h**2/4 - 575*h + 11625/4.
-5*(h - 5)*(h + 465)/4
Let -p**2/2 - 1735*p/2 - 867 = 0. Calculate p.
-1734, -1
Find a, given that -a**5 + 7*a**4 + 60*a**3 = 0.
-5, 0, 12
Factor 2*d**3/9 + 4*d**2/9 - 16*d/9.
2*d*(d - 2)*(d + 4)/9
Factor 2*h**2/3 - 148*h/3 + 560.
2*(h - 60)*(h - 14)/3
Factor j**5/10 - 7*j**4/10.
j**4*(j - 7)/10
Factor 21*k**2 + 615*k + 174.
3*(k + 29)*(7*k + 2)
Factor -2*w**2 + 916*w - 104882.
-2*(w - 229)**2
Factor 2*d**4/5 + 2*d**3 - 12*d**2/5.
2*d**2*(d - 1)*(d + 6)/5
Solve 9*d**2 - 23*d/3 - 4/3 = 0.
-4/27, 1
Solve 182405*a**2 - 3820*a + 20 = 0.
2/191
What is r in 125*r**3 + 300*r**2 + 240*r + 64 = 0?
-4/5
Factor -5*r**3 + 20*r**2 + 60*r.
-5*r*(r - 6)*(r + 2)
Factor -5*c**2 - 830*c - 34445.
-5*(c + 83)**2
Factor 4*c**2 - 820*c.
4*c*(c - 205)
Factor n**3 - 32*n**2 + 256*n.
n*(n - 16)**2
Factor -12*n**5 + 21*n**4 + 6*n**3.
-3*n**3*(n - 2)*(4*n + 1)
Determine h, given that 2*h**2/11 - 30*h/11 = 0.
0, 15
Factor 2*n**4 - 54*n**3 + 226*n**2 - 114*n - 396.
2*(n - 22)*(n - 3)**2*(n + 1)
What is p in 3*p**4 - 672*p**3 + 3297*p**2 - 2628*p = 0?
0, 1, 4, 219
Suppose -2*d**2/13 + 376*d/13 + 378/13 = 0. What is d?
-1, 189
Factor 2*o**2/5 + 494*o/5 - 496/5.
2*(o - 1)*(o + 248)/5
Factor -5*j**5 + 20*j**4 + 25*j**3.
-5*j**3*(j - 5)*(j + 1)
Factor -m**4 - 18*m**3 - 88*m**2 - 126*m - 55.
-(m + 1)**2*(m + 5)*(m + 11)
Suppose 3*c**5/4 