 407*b/4 - 9/2 = 0. Calculate b.
-9, -1, -2/43
Factor a**3/5 + 23*a**2/5 + 27*a/5 - 63.
(a - 3)*(a + 5)*(a + 21)/5
Suppose 2*h**5/13 - 2*h**4/13 - 10*h**3/13 + 2*h**2/13 + 16*h/13 + 8/13 = 0. Calculate h.
-1, 2
Factor -3*d**2 + 69*d - 66.
-3*(d - 22)*(d - 1)
Let -2*i**2/7 + 50/7 = 0. What is i?
-5, 5
Determine n, given that -3*n**5 + 114*n**4 - 1368*n**3 + 5376*n**2 - 6144*n = 0.
0, 2, 4, 16
Factor -3*t**3 + 33*t**2 - 108*t + 108.
-3*(t - 6)*(t - 3)*(t - 2)
Factor 2*q**4/5 + 7148*q**3/5 + 6386738*q**2/5.
2*q**2*(q + 1787)**2/5
Solve 4*l**4 - 8*l**3 - 256*l**2 + 1160*l - 900 = 0.
-9, 1, 5
Factor -16*f**2/17 - 2338*f/17 - 2610/17.
-2*(f + 145)*(8*f + 9)/17
Find v such that -84*v**4 - 760*v**3 + 4060*v**2 - 3280*v + 624 = 0.
-13, 2/7, 2/3, 3
Factor -2*z**2 - 64*z - 270.
-2*(z + 5)*(z + 27)
Factor -78*h**2 - 381*h + 45.
-3*(h + 5)*(26*h - 3)
Factor -t**2/2 - 1393*t - 1940449/2.
-(t + 1393)**2/2
Find m such that -5*m**4 - 355*m**3 - 8515*m**2 - 71645*m - 63480 = 0.
-24, -23, -1
Factor 3*b**4 - 375*b**3 + 1104*b**2 - 732*b.
3*b*(b - 122)*(b - 2)*(b - 1)
Factor -8*u**3/13 - 6*u**2/13 + 2*u/13.
-2*u*(u + 1)*(4*u - 1)/13
Determine x, given that 7*x**4/5 - 102*x**3/5 + 396*x**2/5 - 154*x/5 - 147/5 = 0.
-3/7, 1, 7
Let -5*f**2 - 210*f - 1705 = 0. What is f?
-31, -11
Let -2*d**2/11 + 372*d/11 - 17298/11 = 0. What is d?
93
Solve 3*i**2/5 - 1044*i/5 + 90828/5 = 0.
174
Find b such that -b**2/4 + 8*b - 15 = 0.
2, 30
Let -3*a**2 - 699*a - 1386 = 0. What is a?
-231, -2
Solve 5*y**4 + 175*y**3 + 495*y**2 + 485*y + 160 = 0.
-32, -1
Solve z**4 - 3*z**2 + 2*z = 0.
-2, 0, 1
Factor h**4/6 - 7*h**3/3 + 10*h**2 - 25*h/3 - 125/6.
(h - 5)**3*(h + 1)/6
Suppose 4*k**2 - 24*k - 988 = 0. What is k?
-13, 19
Let 4*w**4/7 + 312*w**3/7 + 6676*w**2/7 + 23088*w/7 + 21904/7 = 0. What is w?
-37, -2
Suppose 4*t**3 - 76*t**2 + 104*t + 544 = 0. Calculate t.
-2, 4, 17
Factor w**2/3 + 5*w/3 - 2.
(w - 1)*(w + 6)/3
Find g, given that g**2/7 - 10*g/7 + 25/7 = 0.
5
Determine n so that 2*n**2/9 - 76*n/9 + 80 = 0.
18, 20
What is n in n**2 - 7212*n + 13003236 = 0?
3606
Factor 2*w**2/13 - 16*w/13.
2*w*(w - 8)/13
Let 2*v**4/3 - 566*v**3/3 + 13252*v**2 + 41464*v/3 - 80656/3 = 0. Calculate v.
-2, 1, 142
Factor t**4/6 + t**3 + 2*t**2 + 5*t/3 + 1/2.
(t + 1)**3*(t + 3)/6
Factor l**2 + 305*l - 1866.
(l - 6)*(l + 311)
Determine x so that 2*x**3 + 10*x**2 - 8*x - 40 = 0.
-5, -2, 2
Suppose -3*z**4 - 60*z**3 - 162*z**2 - 156*z - 51 = 0. What is z?
-17, -1
Let -2*r**2/3 - 779*r/3 - 389/3 = 0. Calculate r.
-389, -1/2
Factor -253*c**2 - 250*c + 3.
-(c + 1)*(253*c - 3)
Solve -n**3/3 + 7*n**2 - 33*n + 45 = 0 for n.
3, 15
Factor -l**4 - 2*l**3 + 3*l**2 + 8*l + 4.
-(l - 2)*(l + 1)**2*(l + 2)
Find f, given that -2*f**3/9 + 2*f**2/3 + 112*f - 9800/9 = 0.
-25, 14
Factor -10*t**3 + 1156*t**2 + 464*t.
-2*t*(t - 116)*(5*t + 2)
Suppose -n**2 - 359*n = 0. What is n?
-359, 0
Factor y**2/3 - 25*y/3 - 88.
(y - 33)*(y + 8)/3
Suppose 5*u**3 + 20*u**2 - 25*u = 0. What is u?
-5, 0, 1
Factor 20*b**3/7 + 46*b**2/7 + 12*b/7.
2*b*(b + 2)*(10*b + 3)/7
Let 800*d**5/11 - 680*d**4/11 + 192*d**3/11 - 18*d**2/11 = 0. Calculate d.
0, 1/4, 3/10
Factor 2*k**2/3 - 8*k - 26/3.
2*(k - 13)*(k + 1)/3
Suppose -m**3/4 + 13*m**2 - 235*m/4 = 0. Calculate m.
0, 5, 47
Suppose 2*r**4 - 8*r**3 - 138*r**2 - 208*r + 352 = 0. Calculate r.
-4, 1, 11
Determine v so that -16*v**4 - 20*v**3 + 136*v**2 - 148*v + 48 = 0.
-4, 3/4, 1
Factor s**2 - 43*s/3 - 10.
(s - 15)*(3*s + 2)/3
Determine h, given that -4*h**2 - 1204*h = 0.
-301, 0
Factor -3*u**2/8 - 141*u/8.
-3*u*(u + 47)/8
Suppose 3*v**4 + 75*v**3 + 429*v**2 - 507*v = 0. Calculate v.
-13, 0, 1
Factor 3*y**2 + 399*y + 396.
3*(y + 1)*(y + 132)
Determine y, given that -72*y**2 + 363*y - 15 = 0.
1/24, 5
Suppose 4*h**3 + 20*h**2 - 52*h + 28 = 0. What is h?
-7, 1
What is z in -3*z**5 - 486*z**4 + 2985*z**3 - 6516*z**2 + 6036*z - 2016 = 0?
-168, 1, 2
Factor 5*g**2 - 230*g + 225.
5*(g - 45)*(g - 1)
Factor -5*o**2 - 713*o + 286.
-(o + 143)*(5*o - 2)
Suppose 2*u**2/11 - 4816*u/11 + 2899232/11 = 0. Calculate u.
1204
Find q such that 2*q**5 + 634*q**4 + 66776*q**3 + 2313344*q**2 - 2516864*q - 4764064 = 0.
-106, -1, 2
Let -4*s**2 + 136*s = 0. What is s?
0, 34
Factor -b**4 + 16*b**3 + 260*b**2.
-b**2*(b - 26)*(b + 10)
Suppose -3*p**5/4 + 3*p**4 - 3*p**3 = 0. What is p?
0, 2
Determine b so that -3*b**2 + 426*b + 4560 = 0.
-10, 152
Factor -w**4/2 - 10*w**3 - 69*w**2/2 - 41*w - 16.
-(w + 1)**2*(w + 2)*(w + 16)/2
Determine x, given that 4*x**2 - 424*x - 1308 = 0.
-3, 109
Factor -q**2 + 17*q + 18.
-(q - 18)*(q + 1)
Factor 3*a**3 - 15*a**2 - 171*a - 297.
3*(a - 11)*(a + 3)**2
Let 3*g**3 - 513*g**2 + 21672*g + 22188 = 0. What is g?
-1, 86
Suppose w**2/9 + 83*w/3 - 250/9 = 0. Calculate w.
-250, 1
Find a such that 5*a**5 - 50*a**4 - 5*a**3 + 1190*a**2 - 2940*a + 1800 = 0.
-5, 1, 2, 6
Factor v**4/8 + 5*v**3/8 - 3*v**2 + v/2 + 4.
(v - 2)**2*(v + 1)*(v + 8)/8
Suppose -2*s**2/7 - 96*s/7 = 0. Calculate s.
-48, 0
Factor -m**2/2 + 17*m/2 - 8.
-(m - 16)*(m - 1)/2
Determine j so that j**3/4 - 11*j**2/4 + 2*j + 5 = 0.
-1, 2, 10
Factor -l**2/7 + 40*l - 556/7.
-(l - 278)*(l - 2)/7
Factor 2*r**3/13 - 118*r**2/13 + 230*r/13 - 114/13.
2*(r - 57)*(r - 1)**2/13
Determine g, given that 3*g**2/5 - 33*g/5 - 126/5 = 0.
-3, 14
Factor q**4 - 16*q**3 + 53*q**2 - 62*q + 24.
(q - 12)*(q - 2)*(q - 1)**2
Factor -3*c**3 - 8217*c**2 - 5622480*c + 5630700.
-3*(c - 1)*(c + 1370)**2
Factor -2*v**2/3 + 692*v/3 - 686.
-2*(v - 343)*(v - 3)/3
Factor 5*i**3 + 12*i**2 + 4*i.
i*(i + 2)*(5*i + 2)
Suppose -3*l**4 + 108*l**3 - 855*l**2 - 2166*l = 0. Calculate l.
-2, 0, 19
Determine k, given that -5*k**3 + 1370*k**2 + 5540*k + 5560 = 0.
-2, 278
What is v in -v**5/4 - 9*v**4/4 - 17*v**3/4 + 29*v**2/4 + 39*v/2 + 10 = 0?
-5, -4, -1, 2
Find c such that -3*c**3 - 339*c**2 - 12705*c - 158025 = 0.
-43, -35
Factor 36*d**4 - 204*d**3 - 320*d**2 - 112*d.
4*d*(d - 7)*(3*d + 2)**2
Solve 3*c**2 + 42*c - 96 = 0.
-16, 2
Find g such that -2*g**5/9 - 10*g**4/9 - 14*g**3/9 - 2*g**2/3 = 0.
-3, -1, 0
Factor 28*z**3/9 + 82*z**2/9 + 50*z/9 - 4/9.
2*(z + 1)*(z + 2)*(14*z - 1)/9
Factor 2*m**2 - 444*m + 24642.
2*(m - 111)**2
Solve 2*o**2 - 36*o + 34 = 0.
1, 17
Factor 3*y**4 + 9*y**3 + 9*y**2 + 3*y.
3*y*(y + 1)**3
Find x, given that -x**2/2 + 393*x - 154449/2 = 0.
393
Solve -3*g**4 - 15*g**3 + 18*g**2 = 0 for g.
-6, 0, 1
Factor -3*n**3 + 45*n**2 - 225*n + 375.
-3*(n - 5)**3
Suppose s**4 - 6*s**3 - 9*s**2 + 14*s = 0. Calculate s.
-2, 0, 1, 7
Factor 2*u**3/13 + 12*u**2/13 - 30*u/13 + 16/13.
2*(u - 1)**2*(u + 8)/13
Factor 2*c**3 - 18*c**2 + 16*c + 120.
2*(c - 6)*(c - 5)*(c + 2)
Solve 8*p**2 + 260*p + 128 = 0.
-32, -1/2
Suppose x**5/4 - 67*x**4/4 - 52*x**3 - 35*x**2 = 0. Calculate x.
-2, -1, 0, 70
Factor -p**5 - p**4 + 7*p**3 + 13*p**2 + 6*p.
-p*(p - 3)*(p + 1)**2*(p + 2)
What is o in -o**3 - 3*o**2 + 70*o = 0?
-10, 0, 7
Factor -3*u**2/8 - 6*u + 51/8.
-3*(u - 1)*(u + 17)/8
Find y, given that y**3/3 - 2117*y**2/3 + 1121480*y/3 - 1119364/3 = 0.
1, 1058
Factor 5*o**3 + 275*o**2 + 3640*o - 3920.
5*(o - 1)*(o + 28)**2
Factor 5*s**2/2 - 10*s.
5*s*(s - 4)/2
Factor 3*k**2 - 198*k + 915.
3*(k - 61)*(k - 5)
Determine p so that -3*p**3 + 237*p**2 - 4560*p - 4800 = 0.
-1, 40
Solve 5*f**4/2 - 5*f**3/2 - 10*f**2 + 10*f = 0 for f.
-2, 0, 1, 2
Suppose -4*y**3 - 8*y**2 + 476*y + 2352 = 0. What is y?
-7, 12
Factor -2*y**4/11 - 2*y**3/11 + 24*y**2/11.
-2*y**2*(y - 3)*(y + 4)/11
Let 2*p**2/7 + 424*p/7 - 1290/7 = 0. What is p?
-215, 3
Let -15*m**3/2 - 81*m**2/2 - 81*m/2 + 81/2 = 0. Calculate m.
-3, 3/5
Suppose 32*f**4/9 + 112*f**3/9 - 62*f**2/9 - 430*f/9 - 100/3 = 0. Calculate f.
-3, -5/4, 2
Factor -3*t**5/4 - 3*t**4/2 - 3*t**3/4.
-3*t**3*(t + 1)**2/4
Factor 5*a**3 - 60*a**2 - 1895*a + 1950.
5*(a - 26)*(a - 1)*(a + 15)
Factor 9*h**3/2 + 51*h**2/2 - 15*h - 36.
3*(h + 1)*(h + 6)*(3*h - 4)/2
Find n such that 4*n**4/11 - 2*n**3/11 - 34*n**2/11 + 32*n/11 + 24/11 = 0.
-3, -1/2, 2
Factor 3*n**3 + 30*n**2 - 21*n - 588.
3*(n - 4)*(n + 7)**2
Factor -v**2/8 - 13*v/2.
-v*(v + 52)/8
Factor 3*j**4 - 7*j**3 + 2*j**2.
j**2*(j - 2)*(3*j - 1)
Factor -3*w**3/4 - 63*w**2/4 - 129*w/2 - 72.
-3*(w + 2)*(w + 3)*(w + 16)/4
Determine n, given that 26*n**3/7 + 10*n**2/7 - 16*n/7 = 0.
-1, 0, 8/13
Solve -2*t**3/9 + 4*t**2/3 - 2*t/3 - 20/9 = 0.
-1, 2,