*c + 45 = 0?
-1/35, 3
Factor 4*i**4 - 16*i**3 + 20*i**2 - 8*i.
4*i*(i - 2)*(i - 1)**2
Factor r**2/3 - 24*r + 272/3.
(r - 68)*(r - 4)/3
Solve -10*j**3/11 - 6*j**2/11 + 24*j/11 - 8/11 = 0.
-2, 2/5, 1
Solve 44*h**5/7 - 92*h**4/7 - 36*h**3 + 52*h**2 + 176*h/7 - 240/7 = 0 for h.
-2, -10/11, 1, 3
Factor -a**2/5 + 2542*a/5 - 1615441/5.
-(a - 1271)**2/5
Factor 2*b**2 - 378*b/5 + 296/5.
2*(b - 37)*(5*b - 4)/5
Factor s**4/2 + 3*s**3/2 - 9*s**2 + 2*s + 12.
(s - 2)**2*(s + 1)*(s + 6)/2
Find s such that -5*s**5 + 10*s**4 - 5*s**3 = 0.
0, 1
Let 3*t**3 + 288*t**2 + 1116*t + 1104 = 0. Calculate t.
-92, -2
Determine d, given that 2*d**5/9 - 22*d**4/9 - 10*d**3/3 + 62*d**2/9 + 116*d/9 + 16/3 = 0.
-1, 2, 12
Determine y so that -2*y**3/19 - 480*y**2/19 + 2*y/19 + 480/19 = 0.
-240, -1, 1
Solve -195*x**3/2 + 112*x**2 + 162*x + 8 = 0.
-4/5, -2/39, 2
Factor -3*u**3 + 2756*u**2/3 - 204*u.
-u*(u - 306)*(9*u - 2)/3
Factor -2*t**3/9 + 106*t**2/3 - 1422*t + 12482/9.
-2*(t - 79)**2*(t - 1)/9
Determine j so that 12*j**5 - 384*j**4 + 3435*j**3 - 5853*j**2 + 3465*j - 675 = 0.
1/2, 1, 15
Solve 2*b**5/3 - 14*b**3/3 + 4*b**2 = 0 for b.
-3, 0, 1, 2
Factor -4*h**3 - 56*h**2 - 96*h.
-4*h*(h + 2)*(h + 12)
Let 2*t**4/9 - 100*t**3/9 + 98*t**2/9 = 0. What is t?
0, 1, 49
Let -a**3/4 + 11*a**2/4 + 13*a/2 = 0. What is a?
-2, 0, 13
Suppose -363*s**5 + 1705*s**4 - 2520*s**3 + 1240*s**2 - 240*s + 16 = 0. What is s?
2/11, 1/3, 2
Factor 34*f**2/15 - 104*f/15 + 2/5.
2*(f - 3)*(17*f - 1)/15
Factor y**4/6 + y**3/3 - 2*y**2/3 - y/3 + 1/2.
(y - 1)**2*(y + 1)*(y + 3)/6
Suppose 3*g**3/5 - 192*g**2/5 - 597*g/5 - 402/5 = 0. What is g?
-2, -1, 67
Factor v**5 - 10*v**4 - 19*v**3 + 364*v**2 - 588*v.
v*(v - 7)**2*(v - 2)*(v + 6)
Factor -r**2/5.
-r**2/5
Factor -2*n**2/7 - 92*n/7 + 2470/7.
-2*(n - 19)*(n + 65)/7
Determine t, given that -5*t**2/3 + 40*t/3 - 20 = 0.
2, 6
Factor -b**4 - 43*b**3 + 44*b**2.
-b**2*(b - 1)*(b + 44)
Factor -2*y**2/13 - 48*y/13 - 46/13.
-2*(y + 1)*(y + 23)/13
Let -r**5 + 2580*r**4 - 1658933*r**3 - 6664138*r**2 - 8341152*r - 3338528 = 0. What is r?
-2, -1, 1292
Factor 4*l**2 - 2768*l - 5552.
4*(l - 694)*(l + 2)
Factor 4*m**2 + 496*m + 15376.
4*(m + 62)**2
Suppose -2*q**2/3 + 410*q/3 + 276 = 0. What is q?
-2, 207
Factor 250*q**5/3 + 17700*q**4 + 960910*q**3 + 6715928*q**2/3 + 1772960*q + 470400.
2*(q + 105)**2*(5*q + 4)**3/3
Factor 5*w**2 - 220*w + 215.
5*(w - 43)*(w - 1)
Find f, given that -f**5/5 + 7*f**4/5 - 3*f**3 + 9*f**2/5 = 0.
0, 1, 3
Factor -m**4 + 3*m**3 + 6*m**2 - 8*m.
-m*(m - 4)*(m - 1)*(m + 2)
Factor 15*m**5 + 57*m**4 - 12*m**3 - 240*m**2 - 192*m + 48.
3*(m - 2)*(m + 2)**3*(5*m - 1)
Factor -2*t**2 - 6088*t - 4632968.
-2*(t + 1522)**2
Factor -10*x**4/13 - 126*x**3/13 - 72*x**2/13.
-2*x**2*(x + 12)*(5*x + 3)/13
Suppose 2*o**5 - 44*o**4/3 + 26*o**3 - 40*o**2/3 = 0. Calculate o.
0, 1, 4/3, 5
Factor 6*u**4/11 + 134*u**3/11 + 250*u**2/11 + 122*u/11.
2*u*(u + 1)**2*(3*u + 61)/11
Factor 2*s**2 - 134*s/5 + 52/5.
2*(s - 13)*(5*s - 2)/5
Factor -4*d**4 + 32*d**3 + 40*d**2 - 32*d - 36.
-4*(d - 9)*(d - 1)*(d + 1)**2
Factor 10*a**3/9 - 14*a**2/3 + 16*a/3 - 8/9.
2*(a - 2)**2*(5*a - 1)/9
Solve -32*x**3 - 54320*x**2 - 27154*x - 3394 = 0 for x.
-1697, -1/4
Find b such that -10*b**2/17 - 1366*b/17 + 548/17 = 0.
-137, 2/5
Suppose w**3/4 + 19*w**2/4 - 157*w/4 - 175/4 = 0. What is w?
-25, -1, 7
Let -4*w**5/9 + 4*w**3/3 + 8*w**2/9 = 0. What is w?
-1, 0, 2
Let -p**3/3 - 26*p**2 - 100*p - 296/3 = 0. Calculate p.
-74, -2
Factor 4*t**3 - 32*t**2 + 64*t.
4*t*(t - 4)**2
Factor l**4/4 + l**3/4 - 5*l**2/2 + 2*l.
l*(l - 2)*(l - 1)*(l + 4)/4
Factor 4*a**2 - 124*a.
4*a*(a - 31)
Find o such that o**5/2 + 19*o**4 + 180*o**3 - 19*o**2 - 361*o/2 = 0.
-19, -1, 0, 1
Solve -12*s**3 + 9*s**2 + 3*s = 0 for s.
-1/4, 0, 1
Factor -3*q**3 + 24*q**2 + 4161*q - 4182.
-3*(q - 41)*(q - 1)*(q + 34)
Solve 6*w**5 + 25*w**4 - 12*w**3 - 53*w**2 + 42*w - 8 = 0 for w.
-4, -2, 1/3, 1/2, 1
Determine c so that 2*c**3/23 + 2*c**2/23 - 20*c/23 + 16/23 = 0.
-4, 1, 2
Factor 6*u**4/5 - 1287*u**3/5 - 129*u**2.
3*u**2*(u - 215)*(2*u + 1)/5
Solve -o**2 - 54*o - 368 = 0.
-46, -8
Let a**2/3 - 482*a/3 + 320 = 0. What is a?
2, 480
Solve 10268*f**4 + 15410*f**3 + 5146*f**2 + 4*f = 0.
-1, -1/2, -2/2567, 0
Factor -o**4/7 + 6*o**3/7 + 20*o**2/7 - 150*o/7 + 125/7.
-(o - 5)**2*(o - 1)*(o + 5)/7
Factor -6*n**4/5 + 36*n**3/5 - 66*n**2/5 + 36*n/5.
-6*n*(n - 3)*(n - 2)*(n - 1)/5
What is k in 3*k**4 - 18*k**3 - 3*k**2 + 18*k = 0?
-1, 0, 1, 6
Factor l**4/9 - l**2/3 + 2*l/9.
l*(l - 1)**2*(l + 2)/9
Factor -s**4/3 + 10*s**3 - 277*s**2/3 + 260*s - 676/3.
-(s - 13)**2*(s - 2)**2/3
Suppose -d**2/6 + 4*d/3 + 3/2 = 0. Calculate d.
-1, 9
Factor -3*m**3 - 171*m**2 + 351*m - 177.
-3*(m - 1)**2*(m + 59)
Factor 3*z**4/5 + 333*z**3/5 + 1881*z**2 + 1815*z.
3*z*(z + 1)*(z + 55)**2/5
Factor -x**2 + 13*x + 30.
-(x - 15)*(x + 2)
Let -70*j**3/11 - 766*j**2/11 - 1636*j/11 + 96/11 = 0. Calculate j.
-8, -3, 2/35
Determine k so that k**2 + 49*k/3 + 46/3 = 0.
-46/3, -1
Determine p so that p**4/2 + 13*p**3/2 + 21*p**2 = 0.
-7, -6, 0
What is r in 2*r**4/5 + 1736*r**3/5 + 565068*r**2/5 + 81746504*r/5 + 4434747842/5 = 0?
-217
Factor -4*l**2/7 - 8*l - 28.
-4*(l + 7)**2/7
Let 2*b**5/9 - 8*b**4/9 + 10*b**3/9 - 4*b**2/9 = 0. Calculate b.
0, 1, 2
Factor -3*b**3/5 - 381*b**2/5.
-3*b**2*(b + 127)/5
Let 2*a**4 - 14*a**3 + 18*a**2 + 14*a - 20 = 0. Calculate a.
-1, 1, 2, 5
Solve -k**4/2 - 21*k**3/2 - 15*k**2/2 + 97*k/2 - 30 = 0.
-20, -3, 1
What is w in -2*w**4 + 12*w**2 + 16*w + 6 = 0?
-1, 3
Factor -o**2/8 - 38*o - 2888.
-(o + 152)**2/8
Factor 2*c**2/9 - 238*c/9 - 80/3.
2*(c - 120)*(c + 1)/9
Factor -3*p**5 - 1662*p**4 - 223443*p**3 + 1868088*p**2 - 3790128*p.
-3*p*(p - 4)**2*(p + 281)**2
Factor -i**2/4 - 505*i + 2021/4.
-(i - 1)*(i + 2021)/4
Find m, given that 5*m**2/3 - 20*m/3 - 35 = 0.
-3, 7
Solve -3*d**5 - d**4 + 6*d**3 + 2*d**2 - 3*d - 1 = 0.
-1, -1/3, 1
Let o**3/4 + 99*o**2/4 - 201*o/4 + 101/4 = 0. What is o?
-101, 1
Factor -4*h**3/3 + 52*h**2/3 + 56*h/3.
-4*h*(h - 14)*(h + 1)/3
Factor 2*c**2/11 + 2006*c/11 + 2004/11.
2*(c + 1)*(c + 1002)/11
Let -25*b**5 + 130*b**4 - 175*b**3 + 30*b**2 = 0. What is b?
0, 1/5, 2, 3
Determine g, given that 3*g**3/5 + 48*g**2/5 - 144*g/5 - 3456/5 = 0.
-12, 8
Factor -2*j**4 + 2*j**3 + 10*j**2 + 6*j.
-2*j*(j - 3)*(j + 1)**2
Factor 2*z**2 - 88*z - 90.
2*(z - 45)*(z + 1)
Suppose 3*g**2 - 60*g = 0. What is g?
0, 20
Find a, given that -5*a**2 + 370*a - 6845 = 0.
37
What is h in 2*h**5/9 + 20*h**4/9 + 16*h**3/3 + 44*h**2/9 + 14*h/9 = 0?
-7, -1, 0
Factor w**2 - 2409*w.
w*(w - 2409)
Solve -2*s**2 - 1340*s + 2688 = 0 for s.
-672, 2
What is c in -25*c**2/3 + 4670*c/3 - 218089/3 = 0?
467/5
Factor 3*x**2/4 + 27*x/4 + 15.
3*(x + 4)*(x + 5)/4
What is q in 2*q**2/7 + 26*q/7 - 4 = 0?
-14, 1
Factor -3*n**3/8 - 15237*n**2/8 - 25796241*n/8 - 14557678671/8.
-3*(n + 1693)**3/8
Factor 2*m**2 + 10*m - 100.
2*(m - 5)*(m + 10)
Find t such that 50*t**5/7 + 60*t**4/7 - 32*t**3/7 - 60*t**2/7 - 18*t/7 = 0.
-1, -3/5, 0, 1
Determine f so that -8*f**2 + 13*f + 180 = 0.
-4, 45/8
Find i, given that 5*i**5 + 50*i**4 = 0.
-10, 0
Let 3*v**2 + 27*v = 0. Calculate v.
-9, 0
Factor y**2/7 + 97*y/7 - 1308/7.
(y - 12)*(y + 109)/7
Determine y so that -y**4/5 - y**3/5 + 7*y**2/5 + 13*y/5 + 6/5 = 0.
-2, -1, 3
Factor -2*g**4 - 20*g**3 + 136*g**2 - 204*g + 90.
-2*(g - 3)*(g - 1)**2*(g + 15)
What is c in 2*c**3/15 - 278*c**2/5 + 38642*c/5 - 5371238/15 = 0?
139
Factor 3*c**3 + 84*c**2 + 723*c + 1890.
3*(c + 5)*(c + 9)*(c + 14)
Let 2*x**2/9 + 8*x/9 + 2/3 = 0. Calculate x.
-3, -1
Let 5*f**4/3 + 40*f**3/3 - 130*f**2/3 - 280*f + 735 = 0. What is f?
-7, 3
Factor 2*b**5/15 + 44*b**4/5 - 18*b**3 + 136*b**2/15.
2*b**2*(b - 1)**2*(b + 68)/15
What is t in 30*t**5 - 145*t**4 + 155*t**3 + 150*t**2 - 220*t - 40 = 0?
-1, -1/6, 2
Factor 2*m**3/3 + 10*m**2/3 + 4*m/3 - 16/3.
2*(m - 1)*(m + 2)*(m + 4)/3
Solve -h**3/6 - 2345*h**2/6 + 3521*h/3 - 2348/3 = 0 for h.
-2348, 1, 2
Let 2*l**3 + 14*l**2 + 30*l + 18 = 0. What is l?
-3, -1
Factor -2*b**3/5 - 352*b**2/5 + 734*b - 1860.
-2*(b - 5)**2*(b + 186)/5
Factor 6*w**3 - 27*w**2/4 + 3*w/4.
3*w*(w - 1)*(8*w - 1)/4
Factor 4*s**4 + 128*s**3 + 460*s**2 + 336*s.
4*s*(s + 1)*(s + 3)*(s + 28)
Determine v so that v**2 + 17*v = 0.
-17, 0
Determine u, given that u**4 + 3*u**3 - 19*u**2 - 87