7)/13
Factor -2*z**5/7 + 348*z**4/7 - 14786*z**3/7 - 30624*z**2/7 - 15488*z/7.
-2*z*(z - 88)**2*(z + 1)**2/7
Solve 9*x**4 + 52*x**3 - 2604*x**2 + 13248*x - 2816 = 0 for x.
-22, 2/9, 8
Factor k**5/4 - 8*k**4 + 7*k**3 + 49*k**2/2 - 157*k/4 + 31/2.
(k - 31)*(k - 1)**3*(k + 2)/4
Determine m so that -m**3 - 212*m**2 - 12036*m - 83232 = 0.
-102, -8
Factor y**3 - 4*y**2 + y + 6.
(y - 3)*(y - 2)*(y + 1)
Solve -v**4/3 + 868*v**3/3 - 94178*v**2 + 40873252*v/3 - 2217373921/3 = 0.
217
Let -18*w**3 - 40*w**2 + 46*w + 12 = 0. Calculate w.
-3, -2/9, 1
Factor -2*r**4/5 + 256*r**3/5 + 258*r**2/5.
-2*r**2*(r - 129)*(r + 1)/5
Factor 5*x**2/4 + 2835*x/2 + 2830.
5*(x + 2)*(x + 1132)/4
Determine v so that -3*v**3/4 - 37*v**2/2 - 12*v = 0.
-24, -2/3, 0
Find o such that -4*o**3 + 192*o**2 - 2300*o = 0.
0, 23, 25
Find d, given that 3*d**2 - 120*d = 0.
0, 40
Factor 4*z**5 - 24*z**4 - 12*z**3 + 80*z**2 - 48*z.
4*z*(z - 6)*(z - 1)**2*(z + 2)
Suppose 3*o**4 - 66*o**3 + 504*o**2 - 1470*o + 1029 = 0. What is o?
1, 7
Suppose -2*r**4 - 42*r**3/5 + 24*r**2/5 + 152*r/5 + 96/5 = 0. Calculate r.
-4, -6/5, -1, 2
Solve -2*y**5/7 - 4*y**4 - 92*y**3/7 - 128*y**2/7 - 82*y/7 - 20/7 = 0.
-10, -1
Factor -4*d**3 + 244*d**2 - 696*d.
-4*d*(d - 58)*(d - 3)
Solve -45*o**2 - 20305*o - 4510 = 0.
-451, -2/9
Solve -r**4/3 + r**3 - 2*r**2/3 = 0.
0, 1, 2
Factor 5*n**4 + 140*n**3 + 470*n**2 - 7140*n + 13005.
5*(n - 3)**2*(n + 17)**2
Solve -5*u**3 - 235*u**2 - 880*u - 860 = 0 for u.
-43, -2
Factor 4*j**3 + 300*j**2 + 6048*j + 15552.
4*(j + 3)*(j + 36)**2
Find h such that h**3/2 - 79*h**2/2 - 40*h = 0.
-1, 0, 80
Solve -p**5/4 - p**4 - p**3 + p**2/2 + 5*p/4 + 1/2 = 0.
-2, -1, 1
Factor -o**2/8 + 89*o/8 + 91/4.
-(o - 91)*(o + 2)/8
Factor u**3/5 + 37*u**2/5 + 324*u/5 + 288/5.
(u + 1)*(u + 12)*(u + 24)/5
Solve -36*a**5 - 120*a**4 - 52*a**3 + 128*a**2 + 80*a = 0.
-2, -5/3, -2/3, 0, 1
Solve -2*v**4/5 - 6*v**3 - 72*v**2/5 + 8*v/5 + 96/5 = 0.
-12, -2, 1
Factor -27*p**2/2 - 6*p - 2/3.
-(9*p + 2)**2/6
Factor 2*v**5 + 10*v**4 + 12*v**3.
2*v**3*(v + 2)*(v + 3)
Solve -5*c**4 - 555*c**3 - 2690*c**2 - 4260*c - 2120 = 0 for c.
-106, -2, -1
Find s such that -3*s**2 + 111*s + 114 = 0.
-1, 38
Factor 3*r**2 - 5511*r.
3*r*(r - 1837)
Let -p**5 + 4*p**4 + 3*p**3 - 14*p**2 + 8*p = 0. What is p?
-2, 0, 1, 4
Factor 4*c**5 - 8*c**3 + 4*c.
4*c*(c - 1)**2*(c + 1)**2
Let 11250*x**2 + 2100*x + 98 = 0. What is x?
-7/75
Find u, given that -u**2/4 + 689*u/4 + 345/2 = 0.
-1, 690
Determine k, given that -4*k**2 + 4528*k = 0.
0, 1132
Suppose -2*u**3/15 + 22*u**2/15 - 38*u/15 + 6/5 = 0. Calculate u.
1, 9
What is z in -z**2/4 - 5*z/2 - 9/4 = 0?
-9, -1
Determine t so that 2*t**3 + 2738*t**2 + 938448*t + 935712 = 0.
-684, -1
Factor 3*k**5 + 2949*k**4 + 723240*k**3 - 726192*k**2.
3*k**2*(k - 1)*(k + 492)**2
Suppose d**2/10 - d/10 - 6/5 = 0. Calculate d.
-3, 4
Find v, given that v**3/2 + 2*v**2 + 3*v/2 = 0.
-3, -1, 0
Solve -l**3/5 - 118*l**2/5 + 119*l/5 = 0.
-119, 0, 1
Factor 2*t**5/9 - 22*t**4/9 + 56*t**3/9 + 32*t**2/9 - 256*t/9 + 224/9.
2*(t - 7)*(t - 2)**3*(t + 2)/9
Suppose d**5 - 15*d**4 + 65*d**3 - 45*d**2 - 270*d + 432 = 0. Calculate d.
-2, 3, 8
Find x such that 4*x**3 + 20332*x**2 = 0.
-5083, 0
Let 2*z**5/11 + 54*z**4/11 + 186*z**3/11 + 34*z**2/11 - 276*z/11 = 0. Calculate z.
-23, -3, -2, 0, 1
Suppose -3*r**3/7 - 78*r**2/7 - 69*r/7 + 150/7 = 0. Calculate r.
-25, -2, 1
Factor 2*c**2 + 176*c + 510.
2*(c + 3)*(c + 85)
Factor -v**3 + 32*v**2.
-v**2*(v - 32)
Let -q**5/6 + q**4 - 2*q**3/3 - q**2 + 5*q/6 = 0. Calculate q.
-1, 0, 1, 5
Determine n, given that -n**2/6 + 49*n/2 = 0.
0, 147
Let v**4/3 - 5*v**3/3 + 2*v**2 + 4*v/3 - 8/3 = 0. Calculate v.
-1, 2
Factor -36*a**3 - 144*a**2 - 92*a + 48.
-4*(a + 3)*(3*a - 1)*(3*a + 4)
Factor -2*x**4/3 + 4*x**3/3 + 2*x**2.
-2*x**2*(x - 3)*(x + 1)/3
Determine r, given that 4*r**5/7 - 575*r**4/7 + 428*r**3/7 + 143*r**2/7 = 0.
-1/4, 0, 1, 143
Factor 8*t**2 + 12*t - 20.
4*(t - 1)*(2*t + 5)
Solve -3*d**5 - 33*d**4 - 111*d**3 - 87*d**2 + 114*d + 120 = 0 for d.
-5, -4, -2, -1, 1
Find l such that -3*l**4 + 48*l**3 - 216*l**2 + 384*l - 240 = 0.
2, 10
Solve -k**4 + 11*k**2 - 18*k + 8 = 0.
-4, 1, 2
Factor t**2/4 - 109*t/4 + 105.
(t - 105)*(t - 4)/4
What is h in h**5/4 + 3*h**4/2 + 3*h**3 + 5*h**2/2 + 3*h/4 = 0?
-3, -1, 0
Factor -2*t**2/5 - 816*t/5 + 818/5.
-2*(t - 1)*(t + 409)/5
Factor 4*o**2 + 484*o + 14641.
(2*o + 121)**2
Let 12*c**4 - 80*c**3/3 - 20*c**2/3 + 80*c/3 - 16/3 = 0. Calculate c.
-1, 2/9, 1, 2
Factor -3*m**2 - 4*m.
-m*(3*m + 4)
Factor -3*f**3 - 195*f**2 - 186*f + 384.
-3*(f - 1)*(f + 2)*(f + 64)
Suppose -3*f**4 - 336*f**3 - 1299*f**2 - 306*f + 1944 = 0. What is f?
-108, -3, -2, 1
Determine i so that -3*i**2 + 1500*i - 187500 = 0.
250
Suppose 5*t**2 - 10150*t + 5151125 = 0. What is t?
1015
Factor n**3 - 1980*n**2 + 1306800*n - 287496000.
(n - 660)**3
Find x, given that 3*x**4/2 + 189*x**3/2 - 498*x**2 + 810*x - 408 = 0.
-68, 1, 2
Find g, given that 5*g**4 - 15*g**3 - 30*g**2 + 140*g - 120 = 0.
-3, 2
Find v such that v**2/3 + 68*v/3 - 96 = 0.
-72, 4
Factor -5*p**3 - 1500*p**2 - 2980*p.
-5*p*(p + 2)*(p + 298)
Suppose 3*z**4 - 21*z**2 + 18*z = 0. What is z?
-3, 0, 1, 2
Factor d**3/5 - 144*d**2/5 + 6912*d/5 - 110592/5.
(d - 48)**3/5
Factor 5*g**2 + 75*g + 280.
5*(g + 7)*(g + 8)
Suppose 4*k**5 + 636*k**4 - 1284*k**3 + 644*k**2 = 0. Calculate k.
-161, 0, 1
Factor -5*n**3 + 715*n**2 - 2100*n.
-5*n*(n - 140)*(n - 3)
Factor g**4/4 - 129*g**3/4 + 4095*g**2/4 + 4225*g/4.
g*(g - 65)**2*(g + 1)/4
Factor 5*a**5 + 30*a**4 + 60*a**3 + 40*a**2.
5*a**2*(a + 2)**3
Let -u**5/4 + 67*u**4/4 + 165*u**3 + 451*u**2 + 380*u = 0. Calculate u.
-5, -2, 0, 76
Let -2*h**5/15 - 4*h**4/3 - 26*h**3/15 + 56*h**2/15 + 56*h/15 - 64/15 = 0. What is h?
-8, -2, 1
Find q such that -q**4 - 3*q**3 + 4*q**2 = 0.
-4, 0, 1
Find i such that 5*i**3/3 - 80*i**2 - 245*i/3 = 0.
-1, 0, 49
Solve -u**5/10 + 121*u**4/10 - 669*u**3/2 - 19089*u**2/10 - 11907*u/5 = 0.
-3, -2, 0, 63
Determine u, given that -u**2 - 9*u + 10 = 0.
-10, 1
Factor -2*o**2/5 + 48*o/5 - 46/5.
-2*(o - 23)*(o - 1)/5
Determine k so that k**2 - 27*k - 28 = 0.
-1, 28
Suppose -w**2/4 + 81*w/4 + 405/2 = 0. What is w?
-9, 90
Factor 2*r**2 + 2*r.
2*r*(r + 1)
Factor o**3 - 18*o**2.
o**2*(o - 18)
Factor 2*b**5/3 + 16*b**4/3 + 40*b**3/3 + 32*b**2/3.
2*b**2*(b + 2)**2*(b + 4)/3
Solve -9*s**2 - 453*s + 306 = 0.
-51, 2/3
Find r such that -18*r**3/5 - 1768*r**2/5 - 392*r/5 = 0.
-98, -2/9, 0
Suppose 5*s**2/2 - 385*s/2 = 0. Calculate s.
0, 77
Let -3*t**4 - 12*t**3 - 18*t**2 - 12*t - 3 = 0. Calculate t.
-1
Suppose -2*p**2/7 - 1808*p/7 - 408608/7 = 0. What is p?
-452
Factor -2*l**3/3 + 370*l**2/3 - 1456*l/3 + 1448/3.
-2*(l - 181)*(l - 2)**2/3
Factor 5*n**2 - 40*n - 100.
5*(n - 10)*(n + 2)
Determine f, given that -3*f**5/4 - 147*f**4/4 + 303*f**3/4 - 153*f**2/4 = 0.
-51, 0, 1
Factor -r**3/3 - 8*r**2/3 - 17*r/3 - 10/3.
-(r + 1)*(r + 2)*(r + 5)/3
Let 2*l**4 - 22*l**3 - 6*l**2 + 70*l - 44 = 0. What is l?
-2, 1, 11
Solve 80*z**5 - 176*z**4 + 132*z**3 - 40*z**2 + 4*z = 0.
0, 1/5, 1/2, 1
Factor 4*x**3 - 500*x**2 + 2892*x - 4284.
4*(x - 119)*(x - 3)**2
Factor -d**2/7 - 15*d/7 - 2.
-(d + 1)*(d + 14)/7
Let 2*x**3 - 18*x**2 + 30*x - 14 = 0. Calculate x.
1, 7
Factor 5*a**2 + 1105*a - 1110.
5*(a - 1)*(a + 222)
Factor -4*l**5 + 12*l**4 + 60*l**3 + 68*l**2 + 24*l.
-4*l*(l - 6)*(l + 1)**3
Find u such that 5*u**3 + 220*u**2 = 0.
-44, 0
Factor 5*a**4 + 250*a**3 - 515*a**2 + 260*a.
5*a*(a - 1)**2*(a + 52)
Suppose 2*t**2/7 + 2*t/7 = 0. Calculate t.
-1, 0
What is t in -4*t**3 + 1048*t**2 + 2108*t + 1056 = 0?
-1, 264
Suppose -10*d**4 + 4318*d**3/21 - 23372*d**2/21 + 1720*d/3 - 400/7 = 0. Calculate d.
2/15, 3/7, 10
Let x**2/11 + 186*x/11 + 8649/11 = 0. What is x?
-93
Suppose 3*j**4/2 + 93*j**3/2 - 153*j**2 + 6*j + 204 = 0. Calculate j.
-34, -1, 2
Suppose -u**3/6 + 85*u**2/2 + u/6 - 85/2 = 0. Calculate u.
-1, 1, 255
Solve 2*w**2/7 - 74*w/21 + 8/7 = 0.
1/3, 12
Find k such that 28*k**5/3 + 1112*k**4/3 - 8048*k**3/3 + 736*k**2 = 0.
-46, 0, 2/7, 6
Suppose -y**3/8 - 15*y**2/8 - 27*y/4 - 5 = 0. What is y?
-10, -4, -1
Factor 2*s**4 + 12*s**3 + 22*s**2 + 12*s.
2*s*(s + 1)*(s + 2)*(s + 3)
Determine b so that b**5/3 + 6*b**4 + 97*b**3/3 + 48*b**2 + 64*b/3 = 0.
-8, -1, 0
Factor -2*o**3/5 - 26*o**2/5 - 24*o/5.
-2*o*(o + 1)*(o + 12)/5
Fact