- 9)*(b - 1)**2/2
Solve -4*l**4 - 1720*l**3 - 170372*l**2 + 3182656*l = 0 for l.
-223, 0, 16
Factor -2*o**2/9 + 86*o/9 - 68.
-2*(o - 34)*(o - 9)/9
Factor q**4 + 11*q**3.
q**3*(q + 11)
Determine z, given that 5*z**4 - 95*z**3 + 630*z**2 - 1720*z + 1600 = 0.
2, 4, 5, 8
Find j, given that 5*j**2 - 595*j + 1170 = 0.
2, 117
Suppose 5*f**3 - 520*f**2 - 5*f + 520 = 0. What is f?
-1, 1, 104
Suppose -20*y**3 + 13272*y**2 + 5312*y = 0. What is y?
-2/5, 0, 664
What is d in -6*d**5 - 28*d**4 + 2*d**3 + 72*d**2 - 8*d - 32 = 0?
-4, -2, -2/3, 1
Solve -4*d**5 - 36*d**4 - 104*d**3 - 72*d**2 + 108*d + 108 = 0 for d.
-3, -1, 1
Let -5*y**5/4 + 821*y**4/2 + 2147*y**3/2 + 745*y**2 - 329*y/4 - 331/2 = 0. Calculate y.
-1, 2/5, 331
Solve y**2 + 156*y + 308 = 0.
-154, -2
Find u, given that -3*u**5/4 - 15*u**4/4 - 9*u**3/4 + 27*u**2/4 = 0.
-3, 0, 1
Solve 15*t**4 - 189*t**3 - 78*t**2 = 0 for t.
-2/5, 0, 13
Factor 28*w**3 - 48*w**2 + 12*w + 8.
4*(w - 1)**2*(7*w + 2)
Suppose -4*l**2 + 240*l + 244 = 0. Calculate l.
-1, 61
Let -m**5 + 2*m**4/3 + 31*m**3/3 + 34*m**2/3 + 8*m/3 = 0. Calculate m.
-2, -1, -1/3, 0, 4
Factor -a**4/4 + 15*a**3/2 - 7*a**2 - 15*a/2 + 29/4.
-(a - 29)*(a - 1)**2*(a + 1)/4
Factor -240*v**3 + 40*v**2 + 65*v + 10.
-5*(3*v - 2)*(4*v + 1)**2
Factor -3*y**4/5 + 81*y**3/5 - 792*y**2/5 + 3264*y/5 - 4608/5.
-3*(y - 8)**3*(y - 3)/5
Factor -4*n**3 + 292*n**2 + 6496*n - 578608.
-4*(n - 58)**2*(n + 43)
Let -4*o**4 - 68*o**3 - 420*o**2 - 1100*o - 1000 = 0. Calculate o.
-5, -2
Suppose 45*w**3 + 96*w**2 + 57*w + 6 = 0. Calculate w.
-1, -2/15
Factor -3*k**3/8 - 87*k**2 - 41055*k/8 - 39675/4.
-3*(k + 2)*(k + 115)**2/8
Let 15*d**2 + 7615*d - 2540 = 0. What is d?
-508, 1/3
Find n such that 3*n**3 - 45*n**2 + 132*n = 0.
0, 4, 11
Determine v, given that v**5/3 - 19*v**4 + 218*v**3/3 - 322*v**2/3 + 71*v - 53/3 = 0.
1, 53
Find u such that -u**5/7 + 3*u**4/7 + 48*u**3/7 - 52*u**2/7 - 96*u - 576/7 = 0.
-4, -1, 6
Factor -2*a**3/3 - 32*a**2 - 418*a/3 + 172.
-2*(a - 1)*(a + 6)*(a + 43)/3
Find d, given that 3*d**3/5 - 3*d**2 + 18*d/5 = 0.
0, 2, 3
Determine z so that 5*z**3 + 115*z**2 - 380*z + 260 = 0.
-26, 1, 2
Let -3*b**5 - 30*b**4 + 9*b**3 + 96*b**2 + 60*b = 0. What is b?
-10, -1, 0, 2
Factor -3*g**3 + 3*g.
-3*g*(g - 1)*(g + 1)
Factor 2*a**4/3 + 26*a**3/3 - 28*a**2/3.
2*a**2*(a - 1)*(a + 14)/3
Factor -35*o**2/6 - 95*o - 80/3.
-5*(o + 16)*(7*o + 2)/6
Let 4205*x**2 - 3770*x + 845 = 0. What is x?
13/29
Solve -n**3/8 + 667*n**2/8 - 1331*n/8 + 665/8 = 0 for n.
1, 665
Let h**4/3 + 53*h**3/3 + 206*h**2 - 2240*h/3 + 1568/3 = 0. What is h?
-28, 1, 2
Find p such that p**5 + p**4 - 18*p**3 + 14*p**2 + 17*p - 15 = 0.
-5, -1, 1, 3
Factor 2*a**3/7 + 286*a**2/7 + 10366*a/7 + 10082/7.
2*(a + 1)*(a + 71)**2/7
Let -3*l**2/8 - 21*l/4 - 39/8 = 0. Calculate l.
-13, -1
Let -5*t**4 + 40*t**3 - 85*t**2 - 10*t + 120 = 0. Calculate t.
-1, 2, 3, 4
Factor -6*x**4 + 28*x**3 - 26*x**2 - 12*x.
-2*x*(x - 3)*(x - 2)*(3*x + 1)
Factor -v**2/5 + 88*v/5.
-v*(v - 88)/5
Factor -2*v**3 - 178*v**2 + 3536*v + 434656.
-2*(v - 47)*(v + 68)**2
Factor d**2 - 1287*d + 3852.
(d - 1284)*(d - 3)
Factor 12*u**3/7 - 93*u**2/7 - 1284*u/7 - 45.
3*(u - 15)*(u + 7)*(4*u + 1)/7
Find w, given that 2*w**3/5 + 636*w**2/5 - 5184*w/5 + 10432/5 = 0.
-326, 4
Suppose -i**2 - 4*i + 45 = 0. What is i?
-9, 5
Suppose -k**2/3 + 374*k/3 - 34969/3 = 0. What is k?
187
Factor 16*s**2 + 3116*s - 780.
4*(s + 195)*(4*s - 1)
Solve 5*d**5 + 40*d**4 + 125*d**3 + 190*d**2 + 140*d + 40 = 0 for d.
-2, -1
Find a such that 3*a**2 - 6*a - 24 = 0.
-2, 4
Find y such that 2*y**4 - 128*y**3 - 262*y**2 - 132*y = 0.
-1, 0, 66
Factor -3*c**3 + 84*c**2.
-3*c**2*(c - 28)
Find g, given that 2*g**3 - 6758*g**2 + 5712198*g - 5705442 = 0.
1, 1689
Find w, given that 2*w**3/7 - 10*w**2/7 - 16*w/7 + 24/7 = 0.
-2, 1, 6
Determine j, given that 3*j**3/4 + 39*j**2/4 - 36*j = 0.
-16, 0, 3
Let 18*s**4/7 + 1056*s**3/7 - 2530*s**2/7 + 1944*s/7 - 488/7 = 0. Calculate s.
-61, 2/3, 1
Suppose 2*k**2 - 6704*k + 5617952 = 0. What is k?
1676
Factor 2*j**2/9 + 50*j/9 - 56/3.
2*(j - 3)*(j + 28)/9
Factor 2*c**2/9 + 290*c/9 - 292/9.
2*(c - 1)*(c + 146)/9
Solve 3*x**3 + 57*x**2 - 264*x + 276 = 0 for x.
-23, 2
Factor 54*c**2 - 10*c.
2*c*(27*c - 5)
Let -3*x**2/8 - 15*x/2 - 27/2 = 0. Calculate x.
-18, -2
Factor 3*c**2/2 - 9*c/2 - 15.
3*(c - 5)*(c + 2)/2
Suppose 2*h**3 - 1108*h**2 - 1110*h = 0. What is h?
-1, 0, 555
Suppose -i**3/3 - 56*i**2/3 - 55*i/3 = 0. What is i?
-55, -1, 0
Factor 3*m**2 - 18*m - 21.
3*(m - 7)*(m + 1)
Factor 3*y**4 + 174*y**3.
3*y**3*(y + 58)
Find w such that 2*w**4/3 + 22*w**3/3 - 130*w**2/3 - 50*w = 0.
-15, -1, 0, 5
Factor -4*x**3 + 120*x**2 - 116*x.
-4*x*(x - 29)*(x - 1)
Find z such that -3*z**2/2 - 438*z - 31974 = 0.
-146
Solve -2*y**5/5 - 8*y**4/5 + 92*y**3/5 + 8*y**2/5 - 18*y = 0 for y.
-9, -1, 0, 1, 5
Solve 3*w**5/8 + 3*w**4/2 + 9*w**3/8 = 0 for w.
-3, -1, 0
Let -2*m**3/15 - 16*m**2/5 - 128*m/5 - 1024/15 = 0. Calculate m.
-8
Let 5*u**5 + 20*u**4 + 25*u**3 + 10*u**2 = 0. What is u?
-2, -1, 0
Find b, given that -b**3/4 - 57*b**2/2 + 117*b - 118 = 0.
-118, 2
Determine j so that -j**4/7 + 36*j**3/7 - 102*j**2/7 + 100*j/7 - 33/7 = 0.
1, 33
Factor l**2/7 + 1189*l/7 + 1188/7.
(l + 1)*(l + 1188)/7
Factor 78*z**2/23 + 28*z/23.
2*z*(39*z + 14)/23
Factor 4*t**5 - 172*t**4 - 356*t**3 - 180*t**2.
4*t**2*(t - 45)*(t + 1)**2
What is s in -2*s**3/3 - 64*s**2/3 + 2*s/3 + 64/3 = 0?
-32, -1, 1
Factor -4*h**4 + 292*h**3 + 900*h**2 + 908*h + 304.
-4*(h - 76)*(h + 1)**3
Let 9*y**5/5 + 129*y**4/5 + 71*y**3 + 55*y**2 - 4*y/5 - 44/5 = 0. Calculate y.
-11, -2, -1, -2/3, 1/3
Factor -j**4/5 - 17*j**3/5 - 99*j**2/5 - 243*j/5 - 216/5.
-(j + 3)**3*(j + 8)/5
Solve -6*b**2/17 - 122*b/17 + 84/17 = 0.
-21, 2/3
Let -2*p**2/5 + 46*p/15 - 8/3 = 0. What is p?
1, 20/3
Suppose 2*o**3 - 28*o**2 - 70*o + 96 = 0. Calculate o.
-3, 1, 16
Factor 3*h**3/2 + 81*h**2/2 - 186*h.
3*h*(h - 4)*(h + 31)/2
Factor t**3 + t**2 - t - 1.
(t - 1)*(t + 1)**2
Factor -2*f**3 - 10*f**2 + 28*f.
-2*f*(f - 2)*(f + 7)
Find p, given that 159*p**2/2 + 161*p/2 + 1 = 0.
-1, -2/159
Factor -s**2/12 + 206*s/3.
-s*(s - 824)/12
Factor -35*i**4 - 25*i**3 + 10*i**2.
-5*i**2*(i + 1)*(7*i - 2)
Factor 2*k**4 - 410*k**3 + 28152*k**2 - 656608*k + 628864.
2*(k - 68)**3*(k - 1)
Factor -2*j**4/7 - 146*j**3/7 - 286*j**2/7 - 142*j/7.
-2*j*(j + 1)**2*(j + 71)/7
Factor 2*m**3/3 + 82*m**2/3 + 176*m.
2*m*(m + 8)*(m + 33)/3
Determine r, given that 4*r**3/7 - 24*r**2/7 - 324*r/7 - 520/7 = 0.
-5, -2, 13
Factor -4*p**3/9 + 64*p**2/9 - 92*p/3 + 40.
-4*(p - 10)*(p - 3)**2/9
Suppose -h**5 - 32*h**4/3 + 49*h**3/3 + 10*h**2/3 - 8*h = 0. Calculate h.
-12, -2/3, 0, 1
Solve -2*f**4/5 + 76*f**3/5 - 856*f**2/5 + 2516*f/5 - 1734/5 = 0 for f.
1, 3, 17
Factor -50*l**3/9 - 770*l**2/3 + 208*l - 376/9.
-2*(l + 47)*(5*l - 2)**2/9
Let x**4 - 70*x**3 + 1221*x**2 = 0. What is x?
0, 33, 37
What is g in g**4 + 78*g**3 + 1440*g**2 - 3200*g = 0?
-40, 0, 2
Find i such that -2*i**4/13 + 60*i**3/13 + 670*i**2/13 - 2400*i/13 + 1672/13 = 0.
-11, 1, 2, 38
Suppose -9*n**4 + 4606*n**3 - 588800*n**2 - 131072*n = 0. Calculate n.
-2/9, 0, 256
Factor -3*k**4 + 90*k**3 - 579*k**2 - 1440*k - 768.
-3*(k - 16)**2*(k + 1)**2
Factor 2*m**3/17 - 72*m**2/17 + 66*m/17 + 140/17.
2*(m - 35)*(m - 2)*(m + 1)/17
Factor 3*z**2/8 - 651*z/2 + 141267/2.
3*(z - 434)**2/8
Factor k**2 - 72*k + 71.
(k - 71)*(k - 1)
Factor 2*x**2 + 140*x.
2*x*(x + 70)
Find h such that -12*h**3 - 88*h**2 + 500*h + 176 = 0.
-11, -1/3, 4
Factor 4*t**5 - 12*t**4 - 8*t**3 + 48*t**2 - 32*t.
4*t*(t - 2)**2*(t - 1)*(t + 2)
Determine x, given that -x**3 - 302*x**2 - 23680*x - 131424 = 0.
-148, -6
Find j, given that -49*j**5/5 + 21*j**4 + 117*j**3/5 - 169*j**2/5 - 168*j/5 - 36/5 = 0.
-1, -3/7, 2
Solve w**5/2 - 7*w**4 + 61*w**3/2 - 42*w**2 + 18*w = 0.
0, 1, 6
Let -p**2/4 + 25*p/4 - 23/2 = 0. Calculate p.
2, 23
Factor -5*q**3 - 190*q**2 - 1280*q - 2400.
-5*(q + 4)**2*(q + 30)
Let 14*n**2/9 + 304*n/9 - 88/9 = 0. Calculate n.
-22, 2/7
Factor g**2 + 36*g + 324.
(g + 18)**2
Solve 85*l**4 + 1520*l**3 - 14545*l**2 + 14440*l - 1500 = 0 for l.
-25, 2/17, 1, 6
Factor -5*i**3 + 20*i**2 + 60*i.
-5*i*(i - 6)*(i + 2)
Find z, given that 8*z**3/5 - 4*z**2 - 44*z/5 + 56/5 = 0.
-2, 1, 7/2
Solve 2*y**2 + 60*y - 62 = 0.
-31, 1
Factor -2*r**2/9 + 1096*r/3 - 150152.
-2*(r 