 20480000 = 0?
160
Solve -2*c**5/7 + 8*c**4/7 - 2*c**3/7 - 12*c**2/7 = 0 for c.
-1, 0, 2, 3
Solve 14*v**2 - 148*v - 162 = 0 for v.
-1, 81/7
Factor 2*z**2/5 - 92*z/5 + 18.
2*(z - 45)*(z - 1)/5
Determine z, given that -z**2/8 + 3*z/2 + 20 = 0.
-8, 20
Find r such that -4*r**3 + 1308*r**2 - 142572*r + 5180116 = 0.
109
Suppose 36*j**4 - 44*j**3 - 280*j**2 + 496*j - 96 = 0. What is j?
-3, 2/9, 2
Solve x**2 - 369*x = 0.
0, 369
Solve -3*b**2/2 + 3*b + 12 = 0.
-2, 4
Factor 16*d**4 - 822*d**3 + 1106*d**2 - 300*d.
2*d*(d - 50)*(d - 1)*(8*d - 3)
Let -2*n**5/15 - 98*n**4/5 - 3008*n**3/3 - 52480*n**2/3 + 102400*n + 13312000/3 = 0. What is n?
-40, 13
Solve 3*g**2 + 15*g/4 - 33 = 0 for g.
-4, 11/4
Solve 35*q**4 + 10*q**3 - 140*q**2 - 40*q = 0 for q.
-2, -2/7, 0, 2
Factor -3*o**4/2 + 21*o**3/2 - 54*o.
-3*o*(o - 6)*(o - 3)*(o + 2)/2
Solve -4*u**3 - 36*u**2 + 324*u + 2916 = 0 for u.
-9, 9
Suppose -2*p**4/7 + 240*p**3/7 - 690*p**2/7 - 1420*p/7 + 1872/7 = 0. What is p?
-2, 1, 4, 117
Factor g**3/7 - 59*g**2/7.
g**2*(g - 59)/7
Suppose -4*y**5 + 40*y**4 + 12*y**3 - 112*y**2 - 80*y = 0. What is y?
-1, 0, 2, 10
Find s, given that s**5/7 - 2*s**3/7 + s/7 = 0.
-1, 0, 1
Determine u so that 1715*u**2 + 560*u + 20 = 0.
-2/7, -2/49
Factor 2*q**4 - 234*q**3 + 1094*q**2 + 2898*q + 1568.
2*(q - 112)*(q - 7)*(q + 1)**2
Suppose 3*y**5 - 30*y**4 + 690*y**2 - 1923*y + 1260 = 0. What is y?
-5, 1, 3, 4, 7
Factor y**2/2 - 79*y + 6241/2.
(y - 79)**2/2
Find o, given that o**2 - 76*o - 156 = 0.
-2, 78
What is s in -s**2 - 30*s + 31 = 0?
-31, 1
What is n in -n**2/4 + 27*n/4 = 0?
0, 27
Find p, given that p**3/3 + 37*p**2/3 + 296*p/3 + 260/3 = 0.
-26, -10, -1
Factor 2*l**2/13 + 40*l/13 + 168/13.
2*(l + 6)*(l + 14)/13
Factor 2*z**4 - 140*z**3 + 1986*z**2 + 16568*z + 14440.
2*(z - 38)**2*(z + 1)*(z + 5)
Find l such that l**4/4 + 2*l**3 - 62*l**2 + 312*l - 396 = 0.
-22, 2, 6
Factor -3*m**4 + 111*m**3 - 969*m**2 - 1083*m.
-3*m*(m - 19)**2*(m + 1)
Solve 4*b**2 + 228*b + 440 = 0.
-55, -2
Let -5*n**2 - 40*n - 80 = 0. What is n?
-4
Factor -2*p**4/11 + 56*p**3/11 + 180*p**2/11 + 184*p/11 + 62/11.
-2*(p - 31)*(p + 1)**3/11
Find j, given that 8*j**4/9 - 58*j**3/9 + 142*j**2/9 - 128*j/9 + 8/3 = 0.
1/4, 2, 3
Determine i so that 2*i**2/7 + 16*i/7 - 66/7 = 0.
-11, 3
Factor 6*l**2/5 + 1488*l/5 + 92256/5.
6*(l + 124)**2/5
Let 5*t**5/6 - t**4 - 10*t**3/3 + 4*t**2 = 0. What is t?
-2, 0, 6/5, 2
Let f**2 + 200*f - 201 = 0. What is f?
-201, 1
Suppose 15*q**4 - 339*q**3 - 1278*q**2 - 1236*q - 312 = 0. What is q?
-2, -1, -2/5, 26
Factor 2*p**4/3 + 92*p**3/3 + 86*p**2.
2*p**2*(p + 3)*(p + 43)/3
Find c, given that -2*c**2 + 3794*c - 3792 = 0.
1, 1896
Suppose -5*l**5 - 90*l**4 - 80*l**3 + 90*l**2 + 85*l = 0. What is l?
-17, -1, 0, 1
What is h in 2*h**2 - 114*h + 1540 = 0?
22, 35
Factor -3*w**3/4 + 9*w**2/4.
-3*w**2*(w - 3)/4
What is l in -l**3 - 27*l**2 - 162*l = 0?
-18, -9, 0
Factor 21*b**3 + 720*b**2 + 6273*b + 1734.
3*(b + 17)**2*(7*b + 2)
Let 4*p**3/9 + 56*p**2 - 340*p/3 + 512/9 = 0. Calculate p.
-128, 1
Find z such that -5*z**4 - 30*z**3 - 40*z**2 + 30*z + 45 = 0.
-3, -1, 1
Factor -2*r**2/7 + 4*r - 96/7.
-2*(r - 8)*(r - 6)/7
Factor 4*k**2 + 512*k.
4*k*(k + 128)
Factor -o**2/8 - 5*o/4.
-o*(o + 10)/8
Let -2*b**2 - 306*b = 0. What is b?
-153, 0
Factor 3*r**4/7 + 675*r**3/7 + 42075*r**2/7 - 108375*r/7 - 55271250/7.
3*(r - 30)*(r + 85)**3/7
Let -2*s**3/5 + 86*s**2/5 - 112*s = 0. Calculate s.
0, 8, 35
Factor 3*c**3 + 831*c**2 + 57960*c + 57132.
3*(c + 1)*(c + 138)**2
Let 3*b**5 - 12*b**4 - 36*b**3 = 0. What is b?
-2, 0, 6
What is u in 11*u**3/4 - 3345*u**2/4 + 63612*u - 5776 = 0?
1/11, 152
Suppose 2*n**5/15 - 44*n**4/15 + 332*n**3/15 - 896*n**2/15 + 98*n/15 + 1372/15 = 0. Calculate n.
-1, 2, 7
Find w such that -360*w**5 - 1911*w**4 - 3072*w**3 - 1842*w**2 - 312*w + 9 = 0.
-3, -1, -1/3, 1/40
Solve -20*t**2 - 224*t - 44 = 0.
-11, -1/5
Factor 5*x**2 + 1765*x - 3550.
5*(x - 2)*(x + 355)
Suppose -3*x**4 + 39*x**3/2 - 30*x**2 = 0. What is x?
0, 5/2, 4
Let -6*i**5/5 - 96*i**4/5 - 126*i**3/5 + 1404*i**2/5 = 0. What is i?
-13, -6, 0, 3
Factor 5*x**2 - 75*x + 180.
5*(x - 12)*(x - 3)
Factor -2*r**3/3 - 20*r**2/3 - 34*r/3 - 16/3.
-2*(r + 1)**2*(r + 8)/3
Let -2*r**3/5 + r**2/5 + 38*r/5 + 7 = 0. What is r?
-7/2, -1, 5
Factor -4*z**5/9 - 32*z**4/9 + 56*z**3/3 - 272*z**2/9 + 188*z/9 - 16/3.
-4*(z - 1)**4*(z + 12)/9
Let -5*j**4/3 - 58*j**3/3 + 524*j**2/3 - 920*j/3 + 96 = 0. What is j?
-18, 2/5, 2, 4
Determine v so that -v**2/2 - 401*v - 160801/2 = 0.
-401
Factor 3*i**2/7 - 255*i/7 + 2442/7.
3*(i - 74)*(i - 11)/7
Factor -4*x**2 - 56*x + 828.
-4*(x - 9)*(x + 23)
Solve -4*t**3 - 1204*t**2 - 89996*t + 91204 = 0.
-151, 1
Suppose -4*j**3 + 16*j**2 - 12*j = 0. Calculate j.
0, 1, 3
Factor 35*d**3/4 - 325*d**2/4 + 45*d/2.
5*d*(d - 9)*(7*d - 2)/4
What is k in -6*k**5 - 495*k**4 - 10803*k**3 - 24234*k**2 - 4320*k + 9600 = 0?
-40, -2, -1, 1/2
Factor 2*j**4 + 45*j**3 + 64*j**2 + 21*j.
j*(j + 1)*(j + 21)*(2*j + 1)
Factor -2*r**3 + 2*r.
-2*r*(r - 1)*(r + 1)
Let 5*y**2 - 10460*y + 5470580 = 0. Calculate y.
1046
Factor 3*g**2 + 39*g - 144.
3*(g - 3)*(g + 16)
What is w in -2*w**5/11 - 94*w**4/11 - 1670*w**3/11 - 13754*w**2/11 - 51376*w/11 - 70304/11 = 0?
-13, -4
Let 2*a**4/3 - 832*a**3 + 389376*a**2 - 80990208*a + 6317236224 = 0. What is a?
312
Factor -v**3/2 + 4*v**2 - 5*v/2 - 25.
-(v - 5)**2*(v + 2)/2
Factor -3*i**2 - 33*i - 54.
-3*(i + 2)*(i + 9)
Factor -z**5 - 46*z**4 - 481*z**3 + 1104*z**2 - 576*z.
-z*(z - 1)**2*(z + 24)**2
Determine i, given that 3*i**4/7 - 15*i**3/7 - 36*i**2/7 + 240*i/7 - 192/7 = 0.
-4, 1, 4
Factor -2*m**4/5 + 4*m**3/5 + 22*m**2/5 - 24*m/5.
-2*m*(m - 4)*(m - 1)*(m + 3)/5
Let 4*h**4 - 36*h**2 = 0. Calculate h.
-3, 0, 3
Factor -4*z**4/7 + 828*z**3/7 - 2460*z**2/7 + 2452*z/7 - 816/7.
-4*(z - 204)*(z - 1)**3/7
Find s such that -5*s**5 + 20*s**4 + 90*s**3 + 100*s**2 + 35*s = 0.
-1, 0, 7
Solve 2*o**3/7 + 16*o**2/7 = 0.
-8, 0
Factor -5*d**4 + 60*d**3 - 215*d**2 + 300*d - 140.
-5*(d - 7)*(d - 2)**2*(d - 1)
Factor 2*u**3/5 - 134*u**2/5 - 28*u + 272/5.
2*(u - 68)*(u - 1)*(u + 2)/5
Factor -2*a**3 + 68*a**2 - 66*a.
-2*a*(a - 33)*(a - 1)
Let -2*m**4 + 68*m**3 + 72*m**2 - 68*m - 70 = 0. What is m?
-1, 1, 35
Determine l so that -3*l**2 + 120*l = 0.
0, 40
Suppose -5*z**3 - 6690*z**2 - 2237805*z = 0. Calculate z.
-669, 0
Let 4*m**3 - 84*m**2 + 120*m + 3200 = 0. What is m?
-5, 10, 16
Factor 3*u**2/7 + 54*u/7 + 33.
3*(u + 7)*(u + 11)/7
Factor 4*r**5 + 24*r**4 + 56*r**3 + 64*r**2 + 36*r + 8.
4*(r + 1)**4*(r + 2)
Factor -2*j**3/3 - 434*j**2/3.
-2*j**2*(j + 217)/3
Determine x, given that x**2/9 - 7*x/9 - 20/3 = 0.
-5, 12
Determine i, given that -3*i**2 - 297*i = 0.
-99, 0
Factor 4*p**3 + 36*p**2 - 616*p + 576.
4*(p - 8)*(p - 1)*(p + 18)
Suppose 3*b**2 - 129*b - 564 = 0. What is b?
-4, 47
Solve 2*i**3/11 + 50*i**2/11 + 238*i/11 + 190/11 = 0.
-19, -5, -1
Factor 9*p**2 - 31*p - 70.
(p - 5)*(9*p + 14)
Factor -l**3 - 7*l**2 - 12*l.
-l*(l + 3)*(l + 4)
Factor 3*h**4/2 - h**3 - h**2/2.
h**2*(h - 1)*(3*h + 1)/2
Find j such that -2*j**4 - 18*j**3 + 14*j**2 + 114*j - 108 = 0.
-9, -3, 1, 2
Let -2*b**4/3 + 848*b**3/9 + 578*b**2/9 - 1412*b/9 - 1136/9 = 0. What is b?
-1, 4/3, 142
Solve 5*h**5 + 15*h**4 - 45*h**3 - 115*h**2 + 120*h + 180 = 0 for h.
-3, -1, 2
Suppose 2*d**5 - 452*d**4 - 912*d**3 = 0. What is d?
-2, 0, 228
Solve v**4 + 74*v**3 - 489*v**2 - 706*v + 1120 = 0 for v.
-80, -2, 1, 7
Suppose 5*u**4 + 155*u**3 + 1590*u**2 + 5920*u + 4480 = 0. What is u?
-14, -8, -1
Factor -3*r**2 + 2766*r - 637563.
-3*(r - 461)**2
Solve 35*h**4 + 51*h**3 - h**2 - 15*h + 2 = 0 for h.
-1, 1/7, 2/5
Factor i**4/3 - 101*i**3/3 + 722*i**2 + 6588*i + 5832.
(i - 54)**2*(i + 1)*(i + 6)/3
Determine x, given that -12*x**2 - 267*x = 0.
-89/4, 0
Let 33*l**2 + 1302*l - 720 = 0. Calculate l.
-40, 6/11
Determine x so that -5*x**4 - 75*x**3 - 180*x**2 = 0.
-12, -3, 0
Solve p**3/6 - p**2/3 - 55*p/6 + 100/3 = 0.
-8, 5
Factor 4802*s**5 + 32928*s**4 + 84672*s**3 + 96768*s**2 + 41472*s.
2*s*(7*s + 12)**4
Determine u so that 2*u**3 - 38*u**2 + 128*u - 120 = 0.
2, 15
Factor a**5/2 - 33*a**4/2 + 159*a**3 - 383*a**2 + 705*a/2 - 225/2.
(a - 15)**2*(a - 1)**3/2
Factor 8*r**3/3 - 4*r**2/3 - 32*r/3 + 16/3.
4*(r - 2)*(r + 2)*(2*r - 1)/3
Factor -14*n**2 - 572*n/5 + 258/5.
-2*(5*n + 43)*(7*n - 3)/5
Fin