, -1, 0, 6
Let 2*m**5/3 - 28*m**4/3 + 74*m**3/3 + 304*m**2/3 - 728*m/3 - 1568/3 = 0. Calculate m.
-2, 4, 7
Find d, given that -d**4 + 3*d**3 - d**2 - 3*d + 2 = 0.
-1, 1, 2
Factor 5*l**3 + 1100*l**2 - 2235*l - 3330.
5*(l - 3)*(l + 1)*(l + 222)
Factor 2*r**3/3 - 46*r**2/3 + 18*r + 210.
2*(r - 21)*(r - 5)*(r + 3)/3
Determine s, given that -4*s**4/5 + 8*s**2/5 - 4/5 = 0.
-1, 1
Determine a so that 20*a**4 + 7*a**3 - 11*a**2 + 2*a = 0.
-1, 0, 1/4, 2/5
Find q, given that -q**5 - 49*q**4 - 186*q**3 - 274*q**2 - 181*q - 45 = 0.
-45, -1
Find z, given that -2*z**4/13 + 16*z**3/13 + 2*z**2 - 64*z/13 - 72/13 = 0.
-2, -1, 2, 9
Factor 192*d**5 + 48*d**4 - 1260*d**3 + 897*d**2 - 219*d + 18.
3*(d - 2)*(d + 3)*(4*d - 1)**3
Factor -2*y**2/3 + 360*y - 48600.
-2*(y - 270)**2/3
Factor -25*v**4 - 35*v**3 + 39*v**2 + 19*v + 2.
-(v - 1)*(v + 2)*(5*v + 1)**2
Let 4*o**3/3 + 108*o**2 + 1760*o - 54208/3 = 0. What is o?
-44, 7
Determine b, given that -b**3/4 - 1135*b**2/4 - 322623*b/4 - 321489/4 = 0.
-567, -1
Factor a**3/3 - 991*a**2/3 + 1979*a/3 - 989/3.
(a - 989)*(a - 1)**2/3
Factor 5*u**4 + 55*u**3 + 180*u**2 + 80*u - 320.
5*(u - 1)*(u + 4)**3
Factor -13*f**3/10 - 67*f**2/10 - 31*f/5 - 4/5.
-(f + 1)*(f + 4)*(13*f + 2)/10
Determine u, given that u**2/3 - 26*u/3 = 0.
0, 26
Factor 5*u**4 + 35*u**3 - 50*u**2 - 380*u + 600.
5*(u - 2)**2*(u + 5)*(u + 6)
Factor -6*n**3 + 27*n**2 + 51*n + 18.
-3*(n - 6)*(n + 1)*(2*n + 1)
Factor -5*w**2 + 5*w + 100.
-5*(w - 5)*(w + 4)
What is r in 6*r**3 - 406*r**2 - 830*r - 418 = 0?
-1, 209/3
Solve 630*n**2/11 + 152*n/11 - 8/11 = 0.
-2/7, 2/45
Factor -a**4/2 - 3*a**3/2 + 3*a**2 + 14*a + 12.
-(a - 3)*(a + 2)**3/2
Solve -2*f**2/11 - 12*f/11 - 18/11 = 0 for f.
-3
Factor -408*b**3 + 812*b**2 + 1232*b + 12.
-4*(b - 3)*(b + 1)*(102*b + 1)
Suppose -6*n**3 + 976*n**2/3 - 4446*n + 972 = 0. What is n?
2/9, 27
Factor -n**4/3 - 7*n**3/3 + 92*n**2/3 - 28*n.
-n*(n - 6)*(n - 1)*(n + 14)/3
Factor -2*x**2 + 118*x - 636.
-2*(x - 53)*(x - 6)
Factor -3*t**4 - 303*t**3 + 2568*t**2 - 5232*t.
-3*t*(t - 4)**2*(t + 109)
Let 2*o**2 - 10*o - 12 = 0. What is o?
-1, 6
Determine c, given that 2*c**3/19 + 6*c**2/19 - 18*c/19 + 10/19 = 0.
-5, 1
Factor -3*c**2/4 - 569*c/4 - 189/2.
-(c + 189)*(3*c + 2)/4
Factor 2*y**3 - 4*y**2 - 2*y + 4.
2*(y - 2)*(y - 1)*(y + 1)
Find x, given that -5*x**4 - 55*x**3 - 135*x**2 - 125*x - 40 = 0.
-8, -1
What is b in 2*b**2 - 14*b + 24 = 0?
3, 4
Factor 1250*z**2 + 400*z + 32.
2*(25*z + 4)**2
Factor v**2/8 + 13*v/8.
v*(v + 13)/8
Factor -3*y**3 - 48*y**2.
-3*y**2*(y + 16)
Factor x**3 - x**2.
x**2*(x - 1)
Suppose 25*y**2 + 13690*y - 5480 = 0. What is y?
-548, 2/5
Let 3*a**5 + 42*a**4 - 45*a**3 - 1500*a**2 + 1500*a = 0. What is a?
-10, 0, 1, 5
Factor -j**2 + 149*j.
-j*(j - 149)
Factor 4*n**3 - 68*n**2 - 80*n + 144.
4*(n - 18)*(n - 1)*(n + 2)
Determine m so that -2*m**2 - 242*m = 0.
-121, 0
What is w in -w**4/7 + 6*w**3/7 - w**2 - 6*w/7 + 8/7 = 0?
-1, 1, 2, 4
What is a in 2*a**3/7 + 326*a**2/7 + 13120*a/7 - 13448/7 = 0?
-82, 1
Find m such that 5*m**2 - 10*m - 15 = 0.
-1, 3
Let 2*z**4 + 34*z**3/7 - 24*z**2/7 = 0. Calculate z.
-3, 0, 4/7
Solve -3*s**5 + 6*s**4 + 6*s**3 - 12*s**2 - 3*s + 6 = 0 for s.
-1, 1, 2
Factor 3*s**5/4 - 3*s**4/4 - 3*s**3/4 + 3*s**2/4.
3*s**2*(s - 1)**2*(s + 1)/4
Solve -f**5 - 13*f**4 + 84*f**3 - 108*f**2 = 0 for f.
-18, 0, 2, 3
Factor 2*y**2/17 - 268*y/17.
2*y*(y - 134)/17
Factor 2*s**3/9 - 2*s**2/9 - 4*s/9.
2*s*(s - 2)*(s + 1)/9
Let 2*y**3/3 + 14*y**2/3 + 22*y/3 + 10/3 = 0. What is y?
-5, -1
Suppose 14*x**3/13 + 188*x**2/13 - 112*x/13 = 0. What is x?
-14, 0, 4/7
Factor 4*u**5 - 24*u**4 - 124*u**3 + 624*u**2 + 720*u.
4*u*(u - 6)**2*(u + 1)*(u + 5)
Find x such that -4*x**3/9 - 8*x**2/3 + 1116*x + 215264/9 = 0.
-31, 56
Factor -3*z**3/4 - 45*z**2/4 - 24*z + 36.
-3*(z - 1)*(z + 4)*(z + 12)/4
Factor 5*t**2 - 71630*t + 256542845.
5*(t - 7163)**2
Factor -p**2 + 34*p - 208.
-(p - 26)*(p - 8)
Factor 10*h**3/3 - 2458*h**2/9 + 50266*h/9 + 3362/9.
2*(h - 41)**2*(15*h + 1)/9
Factor -n**5/3 + 14*n**4/9 - 16*n**3/9.
-n**3*(n - 2)*(3*n - 8)/9
Factor 2*v**2 + 56*v/3 + 128/3.
2*(v + 4)*(3*v + 16)/3
Suppose 2*r**5 - 4*r**4 + 4*r**2 - 2*r = 0. What is r?
-1, 0, 1
Factor 3*h**4/7 - 6*h**3 + 135*h**2/7 + 324*h/7 - 1620/7.
3*(h - 6)**2*(h - 5)*(h + 3)/7
Suppose t**5/3 - 4*t**4/3 - 38*t**3/3 - 20*t**2 - 9*t = 0. What is t?
-3, -1, 0, 9
Solve -2*w**3/5 - 158*w**2/5 - 156*w/5 = 0 for w.
-78, -1, 0
Determine f, given that 5*f**2 + 1050*f + 2080 = 0.
-208, -2
Factor 5*t**5 + 42*t**4 + 106*t**3 + 36*t**2 - 135*t - 54.
(t - 1)*(t + 3)**3*(5*t + 2)
Solve -20*t**5 + 48*t**4 - 36*t**3 + 8*t**2 = 0 for t.
0, 2/5, 1
Let -2*a**3/5 - 16*a**2/5 - 38*a/5 - 24/5 = 0. Calculate a.
-4, -3, -1
Factor n**4/3 + 38*n**3/3 + 120*n**2 - 38*n/3 - 361/3.
(n - 1)*(n + 1)*(n + 19)**2/3
Factor n**3/2 - 23*n**2/2 + 40*n - 38.
(n - 19)*(n - 2)**2/2
Factor -8*d**3 - 82*d**2 - 92*d - 18.
-2*(d + 1)*(d + 9)*(4*d + 1)
Solve -3*i**3/7 + 75*i**2/7 - 354*i/7 - 432/7 = 0 for i.
-1, 8, 18
Find l, given that -l**2 + 80*l - 156 = 0.
2, 78
Factor 2*q**4/9 + 4*q**3/3 - 2*q**2/3 - 32*q/9 + 8/3.
2*(q - 1)**2*(q + 2)*(q + 6)/9
Factor 3*t**2 + 375*t.
3*t*(t + 125)
Find f, given that 3*f**4 + 15*f**3 - 105*f**2 + 45*f + 162 = 0.
-9, -1, 2, 3
Solve 2*w**5 - 26*w**4 - 1562*w**3 + 9890*w**2 + 344352*w + 332928 = 0 for w.
-17, -1, 24
Solve -2*k**2/7 + 2*k/7 + 40/7 = 0 for k.
-4, 5
Factor 2*p**3 - 954*p**2 + 151686*p - 8039358.
2*(p - 159)**3
Factor 3*d**3/5 - 69*d**2/5 + 54*d.
3*d*(d - 18)*(d - 5)/5
Determine d so that -2*d**3/5 + 176*d**2/5 - 346*d/5 + 172/5 = 0.
1, 86
Find j, given that -j**3 - 87*j**2 - 1440*j + 20736 = 0.
-48, 9
Solve 5*u**5 - 19*u**4 + 7*u**3 + 19*u**2 - 12*u = 0.
-1, 0, 4/5, 1, 3
Find q, given that 5*q**5 + 575*q**4 + 2250*q**3 + 3350*q**2 + 2225*q + 555 = 0.
-111, -1
Let 4*i**2/3 - 2848*i/3 - 2852/3 = 0. Calculate i.
-1, 713
Factor -13*w**3 - 2*w**2 + 13*w + 2.
-(w - 1)*(w + 1)*(13*w + 2)
Suppose 3*t**5/4 - 15*t**4/2 - 81*t**3/4 + 24*t**2 + 39*t - 36 = 0. Calculate t.
-2, 1, 12
Let -26*w**2/3 + 1330*w/3 - 68 = 0. Calculate w.
2/13, 51
Factor d**3/4 + 87*d**2/4 - 135*d/2.
d*(d - 3)*(d + 90)/4
Factor 2*y**2/9 + 6*y + 52/9.
2*(y + 1)*(y + 26)/9
Factor 3*q**3/2 - 12*q**2 - 57*q/2 - 15.
3*(q - 10)*(q + 1)**2/2
Suppose -n**3 - 65*n**2 + 2625*n - 21375 = 0. Calculate n.
-95, 15
Factor -3*h**4/7 - 30*h**3/7 + 33*h**2/7.
-3*h**2*(h - 1)*(h + 11)/7
Factor 4*d**2 - 1252*d - 6360.
4*(d - 318)*(d + 5)
Let 8*v**4 + 136*v**3 + 642*v**2 + 544*v + 128 = 0. What is v?
-8, -1/2
Suppose -4*p**2 + 476*p - 936 = 0. What is p?
2, 117
What is c in c**4/6 + 17*c**3/3 + 123*c**2/2 + 712*c/3 + 544/3 = 0?
-17, -8, -1
Factor 121*v**3 - 209*v**2 + 104*v - 16.
(v - 1)*(11*v - 4)**2
Suppose 3*s**4/4 - 2037*s**3 + 8145*s**2/4 = 0. Calculate s.
0, 1, 2715
Suppose -22*h**4/5 - 58*h**3/15 + 28*h**2/3 - 16*h/15 = 0. What is h?
-2, 0, 4/33, 1
Suppose h**4 - 9*h**3 - 163*h**2 - 495*h - 342 = 0. Calculate h.
-6, -3, -1, 19
Solve 2*t**3/3 + 64*t**2/3 + 62*t/3 = 0 for t.
-31, -1, 0
What is m in -2*m**3 - 12*m**2 - 10*m = 0?
-5, -1, 0
Factor -3*k**3 + 4842*k**2 - 1953747*k.
-3*k*(k - 807)**2
Suppose -o**3 - o**2 + 385*o - 2783 = 0. What is o?
-23, 11
Solve -4*k**3 - 8*k**2 + 44*k + 48 = 0 for k.
-4, -1, 3
Find f such that -4*f**2 + 8*f + 12 = 0.
-1, 3
Solve -2*n**2 + 2*n = 0.
0, 1
Solve -2*b**5/5 + 786*b**4/5 - 79158*b**3/5 + 75734*b**2 - 218832*b/5 - 677448/5 = 0.
-1, 3, 194
Factor 2*p**2/9 + 3584*p/9 + 1605632/9.
2*(p + 896)**2/9
Find b such that -45*b**2 + 595*b - 130 = 0.
2/9, 13
Solve -102*g**3 - 1839*g**2 + 1884*g + 57 = 0.
-19, -1/34, 1
Factor 18*b**2 - 886*b + 1056.
2*(b - 48)*(9*b - 11)
Determine y so that 5*y**5 + 60*y**4 + 240*y**3 + 400*y**2 + 240*y = 0.
-6, -2, 0
Let 22*s**5/3 + 133*s**4/3 - 22*s**3/3 - 169*s**2/3 + 12 = 0. Calculate s.
-6, -1, -6/11, 1/2, 1
Suppose 2*y**2 + 232*y + 6728 = 0. Calculate y.
-58
Determine a, given that -a**2/5 + 172*a - 1716/5 = 0.
2, 858
Factor -5*a**3 - 5*a**2 + 2320*a + 4620.
-5*(a - 22)*(a + 2)*(a + 21)
Solve -3*a**4 + 15*a**3 + 66*a**2 + 48*a = 0.
-2, -1, 0, 8
Solve -t**3/6 - 29*t**2/6 + 76*t - 246 = 0.
-41, 6
Factor 2*l**2 - 152*l + 296.
2*(l - 74)*(l - 2)
Factor 1678112*w**2 + 25648*w + 98.
2*(916*w + 7)**2
Factor -4*p**3 - 80*p**2 - 76*p.
-4*p*(p + 1)*(p + 19)
Find m su