*2/13 - 430*u/13 + 1200/13 = 0.
-24, 5
Factor -4*d**2 + 36*d + 144.
-4*(d - 12)*(d + 3)
Factor 5*q**3 - 590*q**2 + 3915*q - 3330.
5*(q - 111)*(q - 6)*(q - 1)
Find p, given that -p**4/5 + 681*p**3/5 - 115599*p**2/5 - 116281*p/5 = 0.
-1, 0, 341
Factor -2*b**3 + 226*b**2 - 7952*b + 89376.
-2*(b - 57)*(b - 28)**2
Solve 4*p**4 - 37*p**3 - 151*p**2 + 232*p - 48 = 0 for p.
-4, 1/4, 1, 12
Factor 2*s**4/21 + 2*s**3/3 + 22*s**2/21 + 10*s/21.
2*s*(s + 1)**2*(s + 5)/21
Determine h so that 3*h**4 + 216*h**3 - 222*h**2 - 216*h + 219 = 0.
-73, -1, 1
Solve -4*m**5/5 - 624*m**4/5 - 32448*m**3/5 - 562432*m**2/5 = 0 for m.
-52, 0
Factor -21*a**3 + 330*a**2 + 453*a + 102.
-3*(a - 17)*(a + 1)*(7*a + 2)
Factor -5*y**4 - 110*y**3 + 5*y**2 + 110*y.
-5*y*(y - 1)*(y + 1)*(y + 22)
Factor 2*q**3/3 + 38*q**2 + 722*q + 13718/3.
2*(q + 19)**3/3
What is z in 8*z**2 + 1396*z + 696 = 0?
-174, -1/2
Suppose -12*h**5/7 + 2372*h**4/7 - 3916*h**3/7 - 804*h**2/7 + 3928*h/7 - 224 = 0. Calculate h.
-1, 2/3, 1, 196
Factor 4*h**4 + 180*h**3 + 1924*h**2 - 2484*h - 4232.
4*(h - 2)*(h + 1)*(h + 23)**2
Factor -c**3 + 38*c**2 - 320*c - 800.
-(c - 20)**2*(c + 2)
Factor 5*k**2 + 50*k + 105.
5*(k + 3)*(k + 7)
Factor -28*l**3 + 2864*l**2 - 816*l.
-4*l*(l - 102)*(7*l - 2)
Solve h**5/3 - 7*h**4 + 55*h**3/3 - 5*h**2 - 56*h/3 + 12 = 0 for h.
-1, 1, 2, 18
Factor 4*s**4/5 - 4*s**3/5 - 3*s**2/5 + 2*s/5 + 1/5.
(s - 1)**2*(2*s + 1)**2/5
Let 4*s**2 - 8*s - 32 = 0. What is s?
-2, 4
Let 12*f**5 - 21*f**4 - 6*f**3 + 24*f**2 - 6*f - 3 = 0. What is f?
-1, -1/4, 1
Factor -4*f**4 + 308*f**3 - 304*f**2.
-4*f**2*(f - 76)*(f - 1)
Factor 2*o**5 - 18*o**4 + 12*o**3 + 32*o**2.
2*o**2*(o - 8)*(o - 2)*(o + 1)
Solve -2*y**2/7 + 32*y/7 - 18 = 0.
7, 9
Let 4*u**4 - 92*u**3 + 224*u**2 + 3920*u = 0. Calculate u.
-5, 0, 14
Solve 34*n**4 - 72*n**3 + 8*n**2 = 0.
0, 2/17, 2
Suppose -3*d**4 - 33*d**3 - 135*d**2 - 243*d - 162 = 0. What is d?
-3, -2
Determine w, given that w**2/4 - 59*w/2 + 3481/4 = 0.
59
Suppose 3*r**5 - 15*r**4 + 9*r**3 + 15*r**2 - 12*r = 0. What is r?
-1, 0, 1, 4
Factor 2*h**3/17 - 12*h**2/17 - 50*h/17 - 36/17.
2*(h - 9)*(h + 1)*(h + 2)/17
What is i in -14*i**3/3 - 8*i**2 = 0?
-12/7, 0
Solve 6*q**2/5 + 276*q/5 + 54 = 0 for q.
-45, -1
Factor 4*m**3 + 1756*m**2 + 193596*m + 191844.
4*(m + 1)*(m + 219)**2
Factor -n**3/4 + 141*n**2/4 - 1260*n + 1225.
-(n - 70)**2*(n - 1)/4
Factor w**2/2 - 5*w/2 - 52.
(w - 13)*(w + 8)/2
Let 2*g**3 + 70*g**2 + 68*g = 0. What is g?
-34, -1, 0
Factor -6*q**3 - 15*q**2 + 9*q.
-3*q*(q + 3)*(2*q - 1)
Factor 2*z**4/3 - 38*z**3/3 - 28*z**2.
2*z**2*(z - 21)*(z + 2)/3
Find t such that -3*t**3 + 60*t**2 - 243*t + 270 = 0.
2, 3, 15
Determine n so that 6*n**4 - 230*n**3 + 1030*n**2 + 870*n - 396 = 0.
-1, 1/3, 6, 33
Find h such that 4*h**2/7 + 68*h/7 + 120/7 = 0.
-15, -2
Factor n**5/7 - 11*n**4/7 + 43*n**3/7 - 73*n**2/7 + 8*n - 16/7.
(n - 4)**2*(n - 1)**3/7
Determine t so that -5*t**4 - 15*t**3 + 95*t**2 + 15*t - 90 = 0.
-6, -1, 1, 3
Find p such that -5*p**3/3 + 23920*p**2/3 - 28608320*p/3 = 0.
0, 2392
Factor 2*c**3 + 4*c**2 - 2*c - 4.
2*(c - 1)*(c + 1)*(c + 2)
Suppose -2*l**4/13 + 142*l**3/13 + 146*l**2/13 - 142*l/13 - 144/13 = 0. Calculate l.
-1, 1, 72
Factor -2*l**4/7 + 86*l**3/7 - 880*l**2/7 - 968*l/7.
-2*l*(l - 22)**2*(l + 1)/7
Let 6*b**3/13 - 2*b**2/13 - 4*b/13 = 0. What is b?
-2/3, 0, 1
Suppose 4*s**3 + 1220*s**2 + 1216*s = 0. Calculate s.
-304, -1, 0
Let 2*j**5 + 9*j**4 + 10*j**3 - 5*j**2 - 12*j - 4 = 0. Calculate j.
-2, -1, -1/2, 1
What is g in 2*g**2/7 - 124*g/7 + 122/7 = 0?
1, 61
Determine p so that 2*p**5 - 26*p**4 + 70*p**3 + 98*p**2 = 0.
-1, 0, 7
Factor 2*x**2/5 + 1096*x/5 + 150152/5.
2*(x + 274)**2/5
Determine o so that 21*o**4 + 6*o**3 - 84*o**2 - 24*o = 0.
-2, -2/7, 0, 2
Find k such that -5*k**2/6 - 745*k/6 - 245 = 0.
-147, -2
Factor -4*j**3/3 + 566*j**2/3 + 284*j/3.
-2*j*(j - 142)*(2*j + 1)/3
Solve 20*r**3 + 335*r**2 + 235*r - 80 = 0 for r.
-16, -1, 1/4
Solve 2*a**4/5 - 8*a**3 + 198*a**2/5 - 176*a/5 - 416/5 = 0.
-1, 4, 13
Solve 2*t**5/9 - 26*t**4/9 + 14*t**3/3 + 26*t**2/9 - 44*t/9 = 0.
-1, 0, 1, 2, 11
Suppose 55*p**3 - 4060*p**2 + 74555*p + 13690 = 0. What is p?
-2/11, 37
Factor -j**4/2 + j**3 + 3*j**2/2 - 2*j - 2.
-(j - 2)**2*(j + 1)**2/2
Factor 4*h**4/5 + 16*h**3/5 - 16*h**2/5 - 64*h/5.
4*h*(h - 2)*(h + 2)*(h + 4)/5
Suppose 8*p**4/3 + 458*p**3/3 + 422*p**2 - 2496*p - 648 = 0. What is p?
-54, -6, -1/4, 3
Find s, given that 6*s**2/13 - 8*s/13 - 30/13 = 0.
-5/3, 3
Factor -3*g**3 - 21*g**2 - 36*g.
-3*g*(g + 3)*(g + 4)
Factor 2*b**3 + 6*b**2 - 2*b - 6.
2*(b - 1)*(b + 1)*(b + 3)
Factor -196*h**3 + 1176*h**2 + 16*h - 96.
-4*(h - 6)*(7*h - 2)*(7*h + 2)
Factor 4*m**2 - 5016*m + 1572516.
4*(m - 627)**2
Suppose -2*m**3/5 + 32*m**2/5 - 138*m/5 + 108/5 = 0. What is m?
1, 6, 9
Determine p so that 2*p**3/17 - 32*p**2/17 + 118*p/17 - 88/17 = 0.
1, 4, 11
Factor -2*j**5 - 126*j**4 - 1920*j**3 + 2048*j**2.
-2*j**2*(j - 1)*(j + 32)**2
Factor a**2 - 145*a.
a*(a - 145)
Factor -3*d**3/5 + 93*d**2/5 - 24*d - 2160.
-3*(d - 20)**2*(d + 9)/5
Solve -4*t**2 + 2204*t = 0.
0, 551
Factor t**2/4 + 11*t/2 + 121/4.
(t + 11)**2/4
Determine j so that 2*j**2 + 18*j - 104 = 0.
-13, 4
Factor -i**3 - 8*i**2 + 33*i.
-i*(i - 3)*(i + 11)
Solve 4*f**3/7 + 424*f**2/7 - 428*f/7 = 0 for f.
-107, 0, 1
Factor 2*k**5/9 - 8*k**4/3 + 20*k**3/3 - 56*k**2/9 + 2*k.
2*k*(k - 9)*(k - 1)**3/9
Determine k so that 4*k**2 - 824*k = 0.
0, 206
Factor d**4 + d**3 - 6*d**2.
d**2*(d - 2)*(d + 3)
Determine p, given that -p**4/3 + 566*p**3/3 - 36084*p**2 + 2421720*p - 17159616 = 0.
8, 186
Determine y so that 2*y**4/11 + 274*y**3/11 - 1120*y**2/11 + 1128*y/11 = 0.
-141, 0, 2
Factor 6*j**2/17 + 824*j/17 - 552/17.
2*(j + 138)*(3*j - 2)/17
Determine d so that 3*d**3 - 81*d**2 + 693*d - 1815 = 0.
5, 11
Factor -g**2 - 721*g + 722.
-(g - 1)*(g + 722)
Factor 3*j**3/5 - 177*j**2/5 - 552*j/5 - 372/5.
3*(j - 62)*(j + 1)*(j + 2)/5
Find n such that 4*n**3/7 + 128*n**2/7 + 1076*n/7 + 1672/7 = 0.
-19, -11, -2
Let v**2 - 190*v = 0. Calculate v.
0, 190
Factor z**2/11 + 67*z/11 + 472/11.
(z + 8)*(z + 59)/11
Let m**5/5 + 2*m**4/5 - 34*m**3/5 - 164*m**2/5 - 51*m - 126/5 = 0. What is m?
-3, -2, -1, 7
Solve i**2/2 - 31*i/2 + 119 = 0.
14, 17
Let -4500*t**2 + 13492*t + 24 = 0. Calculate t.
-2/1125, 3
Find w, given that -5*w**3 - 145*w**2 - 270*w = 0.
-27, -2, 0
Solve 5*v**3 + 65*v**2 + 80*v - 960 = 0 for v.
-8, 3
Factor -2*o**4 + 38*o**3 - 34*o**2 - 38*o + 36.
-2*(o - 18)*(o - 1)**2*(o + 1)
Solve -9*w**5 + 24*w**4 + 105*w**3 - 420*w**2 + 444*w - 144 = 0.
-4, 2/3, 1, 2, 3
Factor -b**3 - 99*b**2 + 106*b + 600.
-(b - 3)*(b + 2)*(b + 100)
Solve -5*b**5 - 55*b**4 - 240*b**3 - 520*b**2 - 560*b - 240 = 0.
-3, -2
Factor i**2 + 4*i - 5.
(i - 1)*(i + 5)
Find u such that 3*u**3 - 9*u**2 - 3*u + 9 = 0.
-1, 1, 3
Find g, given that 4*g**5 + 4*g**4 - 104*g**3 + 96*g**2 = 0.
-6, 0, 1, 4
Factor -3*m**5 + 21*m**4 - 33*m**3 + 15*m**2.
-3*m**2*(m - 5)*(m - 1)**2
Factor -2*k**2/15 + 2*k.
-2*k*(k - 15)/15
Find y such that 4*y**2 - 1304*y + 106276 = 0.
163
Find j, given that 2*j**4/9 + 44*j**3/9 + 40*j**2/9 - 44*j/9 - 14/3 = 0.
-21, -1, 1
Factor 18*u**3/5 - 26*u**2 + 28*u/5.
2*u*(u - 7)*(9*u - 2)/5
Factor 2*o**3 + 82*o**2 + 156*o.
2*o*(o + 2)*(o + 39)
Find i, given that -3*i**5/5 - 552*i**4/5 - 1092*i**3/5 + 6*i**2/5 + 219*i + 546/5 = 0.
-182, -1, 1
Determine q, given that 5*q**4 - 95*q**3 - 690*q**2 - 1460*q - 1000 = 0.
-2, 25
Find u such that -3*u**5/2 + 45*u**4/2 - 18*u**3 - 390*u**2 - 504*u = 0.
-2, 0, 7, 12
Factor q**2 + 9940*q + 24700900.
(q + 4970)**2
Factor w**4/4 + 66*w**3 - 2433*w**2/4 + 1634*w - 1092.
(w - 4)**2*(w - 1)*(w + 273)/4
Factor -3*x**3 - 73*x**2 + 219*x + 81.
-(x - 3)*(x + 27)*(3*x + 1)
Factor 2*b**2/13 + 8*b + 102/13.
2*(b + 1)*(b + 51)/13
Let -2*d**5 - 43*d**4 + 68*d**3 - 23*d**2 = 0. Calculate d.
-23, 0, 1/2, 1
Suppose 4*w**5 - 128*w**4 + 1332*w**3 - 4888*w**2 + 5408*w = 0. Calculate w.
0, 2, 4, 13
Let -3*g**4 - 3*g**3 = 0. What is g?
-1, 0
Factor 4*p**2 - 136*p - 4028.
4*(p - 53)*(p + 19)
Factor -3*q**3 + 18*q**2 + 93*q - 108.
-3*(q - 9)*(q - 1)*(q + 4)
Let -x**4/4 + x**3/4 + x**2/4 - x/4 = 0. What is x?
-1, 0, 1
Factor -6*b**3 + 237*b**2 + 2076*b + 1833.
-3*(b - 47)*(b + 1)*(2*b + 13)
Factor -2*t**3/7 + 158*t**2/7 - 2358*t/7 + 9882/7.
-2*(t - 61)*(t - 9)**2/7
L