
3*l*(l - 3)*(l + 6)/5
Factor -4*j**4/3 + 4*j**3/3 + 8*j**2/3.
-4*j**2*(j - 2)*(j + 1)/3
Factor -2*z**3/3 - 10*z**2/3 + 12*z + 48.
-2*(z - 4)*(z + 3)*(z + 6)/3
Solve -2*a**4/13 + 2*a**3/13 = 0 for a.
0, 1
Find z such that -z**2/5 + 118*z/5 + 119/5 = 0.
-1, 119
Find s, given that 2*s**2/17 + 50*s/17 + 92/17 = 0.
-23, -2
Determine d, given that 21*d**2 + 135*d - 84 = 0.
-7, 4/7
Determine m, given that 336*m**5 - 404*m**4 - 1200*m**3 + 1600*m**2 - 576*m + 64 = 0.
-2, 1/4, 2/7, 2/3, 2
Let 2*j**4/11 + 4*j**3/11 = 0. Calculate j.
-2, 0
What is j in j**5/2 - 11*j**4/2 - 13*j**3/2 + 11*j**2/2 + 6*j = 0?
-1, 0, 1, 12
Factor 11*l**2/6 - 19*l/6 - 1.
(l - 2)*(11*l + 3)/6
Determine m, given that -4*m**4 + 28*m**3 - 144*m = 0.
-2, 0, 3, 6
Factor c**2/5 + 39*c/5 + 38/5.
(c + 1)*(c + 38)/5
Let -a**2/6 - 3*a + 19/6 = 0. What is a?
-19, 1
Factor 3*o**2 - 96*o + 576.
3*(o - 24)*(o - 8)
Factor -3*j**3 + 438*j**2 - 867*j + 432.
-3*(j - 144)*(j - 1)**2
Factor 5*v**5/2 - 65*v**4/2 + 135*v**3 - 230*v**2 + 140*v.
5*v*(v - 7)*(v - 2)**3/2
Factor f**5 + 2*f**4 - 56*f**3 - 170*f**2 - 169*f - 56.
(f - 8)*(f + 1)**3*(f + 7)
Suppose 3*c**3/5 + 333*c**2/5 + 312*c/5 - 396 = 0. Calculate c.
-110, -3, 2
What is x in 3*x**3 - 33*x**2 = 0?
0, 11
Let 2*g**5/3 + 10*g**4/3 - 122*g**3/3 + 110*g**2/3 = 0. Calculate g.
-11, 0, 1, 5
Determine p so that -5*p**5 - 74*p**4 - 365*p**3 - 704*p**2 - 404*p + 112 = 0.
-7, -4, -2, 1/5
Determine i, given that -4*i**5/3 + 8*i**4 + 24*i**3 - 448*i**2/3 - 140*i + 600 = 0.
-3, 2, 5
Find a such that -4*a**4/7 + 48*a**3/7 - 12*a**2 + 40*a/7 = 0.
0, 1, 10
Factor -5*h**2 + 270*h - 2800.
-5*(h - 40)*(h - 14)
Find t, given that t**5 - 13*t**4 - 33*t**3 + 41*t**2 + 64*t - 60 = 0.
-2, 1, 15
Factor -5*s**3 - 1065*s**2.
-5*s**2*(s + 213)
Determine k, given that 5*k**3 - 15*k**2 - 20*k = 0.
-1, 0, 4
Determine r so that 2*r**3 - 76*r**2 = 0.
0, 38
Find x such that 2*x**4/11 + 226*x**3/11 + 7140*x**2/11 + 88984*x/11 + 389648/11 = 0.
-71, -14
Find v, given that 3*v**3/5 + 537*v**2/5 - 1083*v/5 + 543/5 = 0.
-181, 1
Factor -2*f**2/3 - 736*f/3 + 1480/3.
-2*(f - 2)*(f + 370)/3
Suppose -b**4/4 + 3*b**3/4 + 615*b**2/4 + 5681*b/4 + 2535/2 = 0. Calculate b.
-13, -1, 30
Factor -4*o**3 - 112*o**2.
-4*o**2*(o + 28)
Factor -18*c**4 + 224*c**3 - 872*c**2/9 + 32*c/3.
-2*c*(c - 12)*(9*c - 2)**2/9
Factor 3*a**2/2 + 63*a + 120.
3*(a + 2)*(a + 40)/2
Find n such that 5*n**3 - 30*n**2 - 180*n - 200 = 0.
-2, 10
Determine i so that 2*i**5/9 + 38*i**4/9 + 164*i**3/9 + 92*i**2/9 - 166*i/9 - 130/9 = 0.
-13, -5, -1, 1
Factor p**2 - 420*p + 44100.
(p - 210)**2
Factor v**3 - 45*v**2 - 372*v + 416.
(v - 52)*(v - 1)*(v + 8)
Find m such that 3*m**5 - 33*m**4 + 42*m**3 + 114*m**2 - 45*m - 81 = 0.
-1, 1, 3, 9
Factor 34*q**3 - 378*q**2 - 364*q + 48.
2*(q - 12)*(q + 1)*(17*q - 2)
Suppose 2*l**5/23 + 16*l**4/23 - 86*l**3/23 + 116*l**2/23 - 48*l/23 = 0. Calculate l.
-12, 0, 1, 2
Factor -4*v**3 - 84*v**2 + 280*v + 2208.
-4*(v - 6)*(v + 4)*(v + 23)
Let p**2/3 - 16*p/3 = 0. Calculate p.
0, 16
Determine q so that -2*q**2/19 + 22*q/19 + 252/19 = 0.
-7, 18
Let d**5 - 18*d**4 + 76*d**3 + 18*d**2 - 77*d = 0. Calculate d.
-1, 0, 1, 7, 11
Factor -3*r**4 + 66*r**3 + 72*r**2 - 66*r - 69.
-3*(r - 23)*(r - 1)*(r + 1)**2
Factor 3*f**3 - 12*f**2 - 21*f + 30.
3*(f - 5)*(f - 1)*(f + 2)
Factor a**5/2 - 2*a**4 + 7*a**2 - 17*a/2 + 3.
(a - 3)*(a - 1)**3*(a + 2)/2
Factor -35*u**2 + 905*u + 1080.
-5*(u - 27)*(7*u + 8)
Determine d so that 12*d**3 - 1036*d**2 - 700*d + 348 = 0.
-1, 1/3, 87
Determine m, given that 4*m**2 + 264*m - 544 = 0.
-68, 2
Factor -3*d**4 - 33*d**3 + 138*d**2 + 168*d.
-3*d*(d - 4)*(d + 1)*(d + 14)
Suppose 2*a**2/19 - 18*a/19 - 20/19 = 0. Calculate a.
-1, 10
Find o such that -98*o**5 + 1022*o**4 - 862*o**3 - 3398*o**2 - 1632*o - 216 = 0.
-1, -2/7, 3, 9
Factor -2*p**3/9 + 458*p**2/9 + 1388*p/9 + 928/9.
-2*(p - 232)*(p + 1)*(p + 2)/9
Factor v**3/3 - 10*v**2/3 + 23*v/3 - 14/3.
(v - 7)*(v - 2)*(v - 1)/3
Suppose 2*q**2/3 + 8*q - 3128/3 = 0. Calculate q.
-46, 34
Factor 2*h**3/3 - 412*h**2/3 + 21218*h/3.
2*h*(h - 103)**2/3
Factor -3*b**3 - 15*b**2 + 36*b + 108.
-3*(b - 3)*(b + 2)*(b + 6)
Factor -3*a**3 - 3*a**2 + 48*a + 48.
-3*(a - 4)*(a + 1)*(a + 4)
Solve 32*s**5 + 16*s**4 - 222*s**3 + 80*s**2 + 82*s + 12 = 0.
-3, -1/4, 1, 2
Factor -3*i**3/8 - 123*i**2/8 - 585*i/4.
-3*i*(i + 15)*(i + 26)/8
Factor 2*n**4 - 6*n**3 + 8*n.
2*n*(n - 2)**2*(n + 1)
Find j, given that 12*j**3/7 - 6*j**2 + 12*j/7 + 18/7 = 0.
-1/2, 1, 3
Factor i**4/4 - 3*i**3 + 25*i**2/2 - 21*i + 45/4.
(i - 5)*(i - 3)**2*(i - 1)/4
Factor 6*d**2/5 - 1464*d/5 + 1458/5.
6*(d - 243)*(d - 1)/5
Factor -2*t**2/3 + 617*t/3 + 1555/3.
-(t - 311)*(2*t + 5)/3
Find c, given that c**5/2 + 2*c**4 + 2*c**3 = 0.
-2, 0
Suppose -z**3/2 + 105*z**2/2 + 161*z + 108 = 0. What is z?
-2, -1, 108
Let 4*x**2 + 8*x - 320 = 0. What is x?
-10, 8
Let 2*c**2/7 + 236*c/7 - 1488/7 = 0. Calculate c.
-124, 6
Let -2*m**3/15 + 574*m**2/15 - 1142*m/15 + 38 = 0. Calculate m.
1, 285
Factor 3*m**3/7 + 216*m**2/7 - 444*m/7.
3*m*(m - 2)*(m + 74)/7
Find k such that 4*k**3 + 992*k**2 + 61504*k = 0.
-124, 0
Determine a so that 98*a**5 + 525*a**4 - 178*a**3 - 1845*a**2 - 100*a + 1500 = 0.
-5, -10/7, 1, 3/2
Solve f**3 - 20*f**2 + 19*f = 0 for f.
0, 1, 19
Factor 2*p**3 + 172*p**2 + 1938*p - 83232.
2*(p - 16)*(p + 51)**2
Factor 4*t**4 + 8*t**3 - 16*t**2 - 8*t + 12.
4*(t - 1)**2*(t + 1)*(t + 3)
Let -3*r**2/5 - 636*r/5 + 1284/5 = 0. Calculate r.
-214, 2
Let 7*k**4/6 - 19*k**3/6 - 59*k**2/3 + 152*k/3 + 16 = 0. What is k?
-4, -2/7, 3, 4
What is q in 5*q**5/2 + 50*q**4 - 55*q**3 - 50*q**2 + 105*q/2 = 0?
-21, -1, 0, 1
Determine a, given that -a**4/5 + 2*a**3/5 + 3*a**2/5 - 8*a/5 + 4/5 = 0.
-2, 1, 2
Factor -4*z**2/3 + 1048*z - 205932.
-4*(z - 393)**2/3
Factor -2*m**3/13 - 562*m**2/13 - 86*m - 558/13.
-2*(m + 1)**2*(m + 279)/13
Factor -2*l**3/3 + 10297*l**2/6 - 1104675*l + 552123/2.
-(l - 1287)**2*(4*l - 1)/6
Factor 3*k**3/4 - 15*k**2/4 - 171*k/4 - 297/4.
3*(k - 11)*(k + 3)**2/4
Factor -4*m**2 - 248*m - 3844.
-4*(m + 31)**2
Determine y so that -2*y**4/7 + 100*y**3/7 - 1026*y**2/7 - 5832*y/7 = 0.
-4, 0, 27
Factor -2*z**2/3 + 1136*z/5 + 682/15.
-2*(z - 341)*(5*z + 1)/15
Let -2*y**3/21 - 302*y**2/3 + 908*y/3 - 4240/21 = 0. Calculate y.
-1060, 1, 2
Factor -4*d**2/5 + 3472*d - 3767120.
-4*(d - 2170)**2/5
Factor l**3 - 539*l**2 + 72360*l + 72900.
(l - 270)**2*(l + 1)
Let -52*k**3 + 36*k**2 + 16*k = 0. Calculate k.
-4/13, 0, 1
Factor n**2 + 1854*n + 859329.
(n + 927)**2
Suppose 2*d**2 + 144*d - 146 = 0. Calculate d.
-73, 1
Factor 28*s**3 - 1728*s**2 - 2260*s - 504.
4*(s - 63)*(s + 1)*(7*s + 2)
Suppose 1323*p**3 - 5712*p**2 - 3588*p - 528 = 0. Calculate p.
-2/7, 44/9
Suppose 3*k**4 - 48*k**3 + 123*k**2 - 78*k = 0. Calculate k.
0, 1, 2, 13
Solve 12*i**5/5 + 16*i**4/5 - 148*i**3/5 - 56*i**2/5 + 96*i/5 = 0.
-4, -1, 0, 2/3, 3
Factor -b**3 - 4*b**2 + 3*b + 18.
-(b - 2)*(b + 3)**2
Determine f so that -f**3/5 + 94*f**2/5 = 0.
0, 94
Factor -g**2/7 - 47*g/7 + 14.
-(g - 2)*(g + 49)/7
Factor -4*b**3 - 212*b**2 + 1396*b - 1180.
-4*(b - 5)*(b - 1)*(b + 59)
Factor -31*c**2/5 + 4*c/5.
-c*(31*c - 4)/5
Factor -x**4/2 - 8*x**3 - 85*x**2/2 - 75*x.
-x*(x + 5)**2*(x + 6)/2
Factor -w**2 + 10*w - 9.
-(w - 9)*(w - 1)
Factor 3*i**4 + 12*i**3 - 18*i**2 - 12*i + 15.
3*(i - 1)**2*(i + 1)*(i + 5)
Suppose 6*k**2/11 - 23838*k/11 + 23832/11 = 0. What is k?
1, 3972
Suppose -f**2/2 - 25*f/2 - 33 = 0. What is f?
-22, -3
Suppose -32*l**3/7 + 12*l**2/7 + 2*l/7 = 0. Calculate l.
-1/8, 0, 1/2
Solve -2*w**3/3 - 28*w**2/3 - 98*w/3 - 24 = 0 for w.
-9, -4, -1
Factor 2*i**2 - 130*i - 268.
2*(i - 67)*(i + 2)
Suppose 3*l**4 + 137*l**3 - 2155*l**2 - 114293*l + 38332 = 0. Calculate l.
-37, 1/3, 28
Factor -4*l**5 - 236*l**4 - 1116*l**3 - 1972*l**2 - 1520*l - 432.
-4*(l + 1)**3*(l + 2)*(l + 54)
Let -4*z**3 - 368*z**2 - 8464*z = 0. Calculate z.
-46, 0
Factor 3*m**4 + 24*m**3 + 69*m**2 + 84*m + 36.
3*(m + 1)*(m + 2)**2*(m + 3)
Suppose b**3 - 10*b**2 + 21*b = 0. Calculate b.
0, 3, 7
Factor 2*f**3 - 10*f**2 - 8*f + 40.
2*(f - 5)*(f - 2)*(f + 2)
Factor -k**2/8 - 9*k.
-k*(k + 72)/8
Factor 10*x**3/9 - 94*x**2/3 + 56*x/9.
2*x*(x - 28)*(5*x - 1)/9
Let 4*x**3 + 240*x**2 + 692*x + 456 = 0. Calculate x.
-57, -2, -1
Factor 5*s**3/4 - 40*s**2 + 1625*s/4 - 2535/2.
5*(s - 13)**2*