 120*l - 144.
-3*(l - 4)**2*(l + 1)*(l + 3)
Solve -3*l**5 - 5*l**4 - l**3 + l**2 = 0.
-1, 0, 1/3
Let -f**5/2 - 32*f**4 + 71*f**3/2 + 193*f**2 - 134*f - 260 = 0. Calculate f.
-65, -2, -1, 2
Determine l so that -4*l**5 - 304*l**4 - 4804*l**3 + 36440*l**2 - 78064*l + 53792 = 0.
-41, 2
Determine q so that 2*q**2/9 - 316*q/3 + 12482 = 0.
237
Factor 4*t**2 + 296*t + 2340.
4*(t + 9)*(t + 65)
Let -d**5/6 - 257*d**4/3 - 22187*d**3/2 - 65792*d**2/3 - 32768*d/3 = 0. Calculate d.
-256, -1, 0
Determine a, given that 2*a**5/9 - 2*a**4/9 - 2*a**3/3 + 10*a**2/9 - 4*a/9 = 0.
-2, 0, 1
Factor -4*u**3/11 + 73*u**2/11 - 342*u/11 + 81/11.
-(u - 9)**2*(4*u - 1)/11
Suppose -u**4/6 - 4*u**3/3 + 3*u**2/2 = 0. Calculate u.
-9, 0, 1
Determine d, given that 4*d**3 + 188*d**2 + 2812*d + 12996 = 0.
-19, -9
Factor 2*x**3/9 - 260*x**2/9 + 514*x/9 - 256/9.
2*(x - 128)*(x - 1)**2/9
Solve -m**4/3 + 12*m**3 - 34*m**2/3 - 12*m + 35/3 = 0 for m.
-1, 1, 35
Find u, given that -5*u**3 + 935*u**2 + 1885*u + 945 = 0.
-1, 189
Factor -k**3/2 - 384*k**2 + 771*k/2 + 769.
-(k - 2)*(k + 1)*(k + 769)/2
Factor q**3/3 + 23*q**2/3 - 76*q/3 + 52/3.
(q - 2)*(q - 1)*(q + 26)/3
Suppose 2*w**2 - 10*w - 48 = 0. Calculate w.
-3, 8
Factor -8*j**2 + 20*j + 12.
-4*(j - 3)*(2*j + 1)
Factor -4*h**2/3 - 88*h/3 + 92/3.
-4*(h - 1)*(h + 23)/3
Factor -3*d**4/4 + 15*d**3/2 - 69*d**2/4 + 21*d/2.
-3*d*(d - 7)*(d - 2)*(d - 1)/4
What is a in -2*a**4/5 - 314*a**3/5 + 1604*a**2/5 - 2584*a/5 + 1296/5 = 0?
-162, 1, 2
Let r**2 - 3872*r + 3748096 = 0. Calculate r.
1936
Factor -o**4/4 + 17*o**3/4 - 93*o**2/4 + 175*o/4 - 49/2.
-(o - 7)**2*(o - 2)*(o - 1)/4
Solve -2*w**5 + 18*w**4 - 30*w**3 - 50*w**2 = 0.
-1, 0, 5
Factor 5*j**4 - 15*j**3 - 75*j**2 - 85*j - 30.
5*(j - 6)*(j + 1)**3
Find n such that 176*n**5/7 - 6984*n**4/7 + 65339*n**3/7 + 21702*n**2/7 - 1840*n/7 - 768/7 = 0.
-1/4, 2/11, 16, 24
Factor -z**3/5 - 252*z**2/5 - 2964*z + 27040.
-(z - 8)*(z + 130)**2/5
Find g, given that -5*g**3 + 2440*g**2 + 14775*g + 22230 = 0.
-3, 494
Factor -2*l**2 - 136*l.
-2*l*(l + 68)
Factor 2*l**3/3 - 16*l**2 + 128*l - 1024/3.
2*(l - 8)**3/3
Factor 2*n**4 - 18*n**3 - 22*n**2 + 18*n + 20.
2*(n - 10)*(n - 1)*(n + 1)**2
Find p such that 9*p**5 + 147*p**4 + 33*p**3 - 4743*p**2 + 7458*p - 2904 = 0.
-11, 2/3, 1, 4
Factor -y**3/2 + 68*y**2 + 275*y/2 + 69.
-(y - 138)*(y + 1)**2/2
Solve -x**2 - 81*x - 80 = 0.
-80, -1
Find w, given that w**4 + 27*w**3 + 261*w**2 + 1053*w + 1458 = 0.
-9, -6, -3
What is y in 4*y**3 - 116*y**2 - 704*y + 29040 = 0?
-15, 22
Solve -2*o**2 - 18*o + 20 = 0.
-10, 1
Factor 39601*a**2 - 5970*a + 225.
(199*a - 15)**2
Find w, given that 5*w**2 - 430*w - 435 = 0.
-1, 87
Let h**5 - 15*h**4 + 63*h**3 - 49*h**2 = 0. What is h?
0, 1, 7
Suppose -5*a**3/2 + 465*a**2/2 - 5520*a + 5290 = 0. Calculate a.
1, 46
Factor 3*p**3 - 57*p**2 + 297*p - 243.
3*(p - 9)**2*(p - 1)
Factor -2*t**2 - 12396*t - 19207602.
-2*(t + 3099)**2
Find c such that c**2 - 221*c + 220 = 0.
1, 220
Solve -t**2 + 9*t + 10 = 0 for t.
-1, 10
Factor p**3 - 19*p - 30.
(p - 5)*(p + 2)*(p + 3)
Factor -5*k**4 + 80*k**3 - 395*k**2 + 420*k + 900.
-5*(k - 6)**2*(k - 5)*(k + 1)
Solve -9*j**3/2 + 3603*j**2/2 + 3012*j + 1206 = 0.
-1, -2/3, 402
Let -28*b**5 + 3828*b**4 - 128348*b**3 - 170292*b**2 - 38088*b = 0. What is b?
-1, -2/7, 0, 69
Factor -4*t**4 + 12*t**3 - 16*t.
-4*t*(t - 2)**2*(t + 1)
Suppose -35*n**3 - 20*n**2 + 15*n = 0. Calculate n.
-1, 0, 3/7
Factor 3*k**2 - 129*k - 132.
3*(k - 44)*(k + 1)
Let 484*k**3 - 54032*k**2 - 19696*k - 1792 = 0. What is k?
-2/11, 112
Factor 5*g**5 + 95*g**4 + 575*g**3 + 1205*g**2 + 1040*g + 320.
5*(g + 1)**3*(g + 8)**2
Factor -3*w**3/7 + 171*w**2/7 - 1728*w/7 - 3072.
-3*(w - 32)**2*(w + 7)/7
Suppose -2*i**5/19 + 84*i**4/19 - 1148*i**3/19 + 5520*i**2/19 - 7922*i/19 + 3468/19 = 0. Calculate i.
1, 6, 17
Let -j**3 - 12*j**2 - 29*j - 18 = 0. What is j?
-9, -2, -1
Factor q**3/4 - 157*q**2/4 - 40*q + 79.
(q - 158)*(q - 1)*(q + 2)/4
Let 5*s**2 + 2760*s = 0. What is s?
-552, 0
Factor -47*d**4/9 - 143*d**3/9 - 49*d**2/3 - 53*d/9 - 2/9.
-(d + 1)**3*(47*d + 2)/9
What is b in b**3/9 - 28*b**2/9 + 77*b/9 - 50/9 = 0?
1, 2, 25
Find c, given that 2*c**4/23 + 38*c**3/23 + 102*c**2/23 + 98*c/23 + 32/23 = 0.
-16, -1
Suppose -2*v**5/3 - 8*v**4 - 64*v**3/3 + 256*v**2/3 + 512*v + 2048/3 = 0. Calculate v.
-4, 4
Factor -c**3 - c**2 + 10*c - 8.
-(c - 2)*(c - 1)*(c + 4)
Determine w so that 2*w**2 + 97*w/3 + 91/3 = 0.
-91/6, -1
Determine u, given that 2*u**2 - 5*u + 2 = 0.
1/2, 2
Suppose 4*r**3/5 + 132*r**2/5 + 184*r = 0. Calculate r.
-23, -10, 0
Find x, given that -8*x**4/9 - 22*x**3/3 + 616*x**2/9 - 134*x/3 - 140/9 = 0.
-14, -1/4, 1, 5
Determine k, given that -k**4/3 - 14*k**3/3 + 17*k**2/3 + 10*k = 0.
-15, -1, 0, 2
What is c in -16*c**2 - 1092*c - 272 = 0?
-68, -1/4
Factor c**4/5 - 4*c**3/5 - c**2/5 + 4*c/5.
c*(c - 4)*(c - 1)*(c + 1)/5
Find h, given that -4*h**2/5 - 4*h - 16/5 = 0.
-4, -1
Let -3*t**5 - 648*t**4 - 34290*t**3 + 80988*t**2 + 511101*t - 1283148 = 0. Calculate t.
-109, -4, 3
What is o in -4*o**4 + 384*o**3 + 4*o**2 - 384*o = 0?
-1, 0, 1, 96
Factor 9*b**3/8 - 771*b**2/8 - 130*b - 87/2.
(b - 87)*(3*b + 2)**2/8
Let w**2/4 + 45*w - 181/4 = 0. What is w?
-181, 1
Factor 2*a**2/3 + 6472*a + 15707544.
2*(a + 4854)**2/3
Determine i, given that -2*i**5 + 404*i**4/5 - 906*i**3 + 8968*i**2/5 - 2888*i/5 = 0.
0, 2/5, 2, 19
Factor -2*u**3/23 - 2*u**2/23.
-2*u**2*(u + 1)/23
Factor -189*r**3/4 + 2712*r**2 - 771*r.
-3*r*(7*r - 2)*(9*r - 514)/4
Suppose -55*p**3 - 53*p**2 + 112*p - 4 = 0. Calculate p.
-2, 2/55, 1
Factor 2*o**3/11 + 90*o**2/11 - 944*o/11 + 1512/11.
2*(o - 7)*(o - 2)*(o + 54)/11
Solve 3*b**4/2 - 33*b**3/2 + 9*b**2 + 216*b = 0 for b.
-3, 0, 6, 8
Let c**4 - 29*c**3 + 69*c**2 + 229*c + 130 = 0. What is c?
-1, 5, 26
Find g such that -5*g**3 - 20*g**2 - 20*g = 0.
-2, 0
Factor -3*l**2/7 - 8385*l/7.
-3*l*(l + 2795)/7
Factor a**5 - 25*a**4 - 118*a**3 + 46*a**2 + 357*a - 261.
(a - 29)*(a - 1)**2*(a + 3)**2
Factor 4*v**2 + 1952*v + 3888.
4*(v + 2)*(v + 486)
Factor 3*i**5 + 6*i**4 - 3*i**3 - 6*i**2.
3*i**2*(i - 1)*(i + 1)*(i + 2)
Factor -3*t**3 - 234*t**2 - 2925*t + 3162.
-3*(t - 1)*(t + 17)*(t + 62)
Let -r**4 + 3*r**3/4 + 15*r**2/8 - 2*r + 3/8 = 0. Calculate r.
-3/2, 1/4, 1
Suppose 2*p**2/11 - 90*p/11 + 8 = 0. What is p?
1, 44
Factor -3*h**2/5 + 258*h/5 - 984/5.
-3*(h - 82)*(h - 4)/5
Factor 18252*l**2 + 468*l + 3.
3*(78*l + 1)**2
Factor 42*z**2 + 166*z - 8.
2*(z + 4)*(21*z - 1)
Let 4*k**4/7 - 8*k**3 + 288*k**2/7 - 640*k/7 + 512/7 = 0. Calculate k.
2, 4
Factor -5*f**2/6 + 35*f/2 - 50/3.
-5*(f - 20)*(f - 1)/6
Solve 3*t**5 + 18*t**4 - 192*t**3 - 1194*t**2 + 189*t + 1176 = 0 for t.
-7, -1, 1, 8
Factor -4*f**2 - 248*f.
-4*f*(f + 62)
Let -q**2/3 - 881*q/3 - 880/3 = 0. What is q?
-880, -1
Determine t so that t**2/2 + 55*t/2 + 357 = 0.
-34, -21
Factor -2*v**2/5 + 1192*v/5.
-2*v*(v - 596)/5
Factor 2*w**3 + 370*w**2 - 746*w + 374.
2*(w - 1)**2*(w + 187)
What is t in -20*t**5 + 76*t**4 - 36*t**3 - 76*t**2 + 56*t = 0?
-1, 0, 1, 14/5
Factor 3*y**4 - 93*y**2 - 90*y.
3*y*(y - 6)*(y + 1)*(y + 5)
Solve -s**2/4 + 33*s/2 - 32 = 0 for s.
2, 64
Determine m, given that -4*m**3 - 71*m**2 - 306*m + 81 = 0.
-9, 1/4
Suppose -29*x**4/4 - 41*x**3/2 - 18*x**2 - 7*x/2 + 5/4 = 0. Calculate x.
-1, 5/29
Determine a so that a**3 + 4*a**2 + 3*a = 0.
-3, -1, 0
Factor -3*v**3 + 18*v**2 - 24*v.
-3*v*(v - 4)*(v - 2)
Factor 4*u**3 - 4*u.
4*u*(u - 1)*(u + 1)
Find t such that 2*t**3/19 - 34*t**2/19 + 94*t/19 + 130/19 = 0.
-1, 5, 13
Determine o, given that -o**3/2 + o**2/2 + o = 0.
-1, 0, 2
Solve 2*v**4/15 - 14*v**3/15 + 2*v**2 - 26*v/15 + 8/15 = 0.
1, 4
Let 4*x**5 + 60*x**4 + 148*x**3 + 36*x**2 - 152*x - 96 = 0. Calculate x.
-12, -2, -1, 1
Suppose 3*l**2 + 558*l + 25947 = 0. Calculate l.
-93
Solve -24006500*g**4 - 1552300*g**3 + 1125180*g**2 - 102116*g + 2744 = 0 for g.
-2/7, 7/95
Find r such that r**5/9 + 13*r**4/3 - 85*r**3/9 - 119*r**2/9 + 56*r/3 + 164/9 = 0.
-41, -1, 2
Factor 6*l**3 + 346*l**2 - 470*l + 118.
2*(l - 1)*(l + 59)*(3*l - 1)
What is o in 2*o**3 - 28*o**2 = 0?
0, 14
Factor l**3/2 + 17*l**2/2 - 9*l.
l*(l - 1)*(l + 18)/2
Factor 5*m**4 + 5*m**3 - 5*m**2 - 5*m.
5*m*(m - 1)*(m + 1)**2
Let 9*v**5/4 + 9*v**4 + 14*v**3 + 21*v**2/2 + 15*v/4 + 1/2 = 0. Calculate v.
-1, -2/3, -1/3
Let 4*a**5 + 4*a**4 - 36*a*