3 + 12*d**2.
-3*d**2*(d - 1)*(d + 4)
Find l, given that 7*l**4/2 + 103*l**3/2 + 159*l**2/2 + 37*l/2 - 13 = 0.
-13, -1, 2/7
Let -2*p**4/13 + 84*p**3/13 - 880*p**2/13 - 84*p/13 + 882/13 = 0. Calculate p.
-1, 1, 21
Let 3*l**2 - 438*l + 3312 = 0. What is l?
8, 138
Solve 2*r**3/13 + 2*r**2 - 32*r/13 - 56/13 = 0.
-14, -1, 2
Factor -3*q**2/7 + 507*q/7 - 1002/7.
-3*(q - 167)*(q - 2)/7
Factor -3*f**3 + 648*f**2 + 1308*f.
-3*f*(f - 218)*(f + 2)
Factor -2*h**2/5 - 3488*h/5 - 1520768/5.
-2*(h + 872)**2/5
Factor 7*i**3 + 9196*i**2 + 3018915*i - 863298.
(i + 657)**2*(7*i - 2)
Factor i**5 + 23*i**4/4 + 51*i**3/4 + 55*i**2/4 + 29*i/4 + 3/2.
(i + 1)**3*(i + 2)*(4*i + 3)/4
Suppose 8*b**3 + 276*b**2 + 132*b - 136 = 0. Calculate b.
-34, -1, 1/2
Factor 5*v**2 - 1245*v - 5060.
5*(v - 253)*(v + 4)
Factor 15*x**2 + 745*x + 490.
5*(x + 49)*(3*x + 2)
Solve -2*m**2 - 36192*m - 163732608 = 0.
-9048
Factor 2*r**2/13 - 1292*r/13 + 208658/13.
2*(r - 323)**2/13
Factor -4*y**4/5 - 8*y**3 - 92*y**2/5 - 56*y/5.
-4*y*(y + 1)*(y + 2)*(y + 7)/5
What is c in 2*c**4/17 + 26*c**3/17 + 96*c**2/17 + 8*c + 64/17 = 0?
-8, -2, -1
Solve -3*x**2/5 - 51*x + 3492/5 = 0 for x.
-97, 12
Determine q so that 15*q**5 + 55*q**4 + 60*q**3 + 20*q**2 = 0.
-2, -1, -2/3, 0
What is a in 8*a**3 + 2060*a**2 - 3104*a + 1036 = 0?
-259, 1/2, 1
Factor 3*p**2 - 363*p - 366.
3*(p - 122)*(p + 1)
Factor -4*q**3 + 136*q**2 - 372*q.
-4*q*(q - 31)*(q - 3)
What is r in -5*r**5 + 290*r**4 + 600*r**3 + 10*r**2 - 595*r - 300 = 0?
-1, 1, 60
Find i such that -3*i**5 - 132*i**4 + 138*i**3 + 132*i**2 - 135*i = 0.
-45, -1, 0, 1
Let 36*v**4/7 - 48*v**3/7 - 44*v**2/7 - 8*v/7 = 0. What is v?
-1/3, 0, 2
Factor -4*d**3/3 + 128*d**2/3 + 292*d + 456.
-4*(d - 38)*(d + 3)**2/3
Determine a so that -4*a**5 - 68*a**4 - 248*a**3 + 320*a**2 = 0.
-10, -8, 0, 1
Let -2*h**5/15 - 142*h**4/15 + 1058*h**3/15 - 2618*h**2/15 + 176*h - 312/5 = 0. Calculate h.
-78, 1, 2, 3
Factor 81*f**2/4 - 24*f + 15/4.
3*(f - 1)*(27*f - 5)/4
Solve 2*a**3/11 - 6*a/11 - 4/11 = 0.
-1, 2
Determine y so that -18*y**3/7 + 40*y**2/7 + 262*y/7 - 60/7 = 0.
-3, 2/9, 5
Determine o, given that -8*o**5 - 50*o**4 - 84*o**3 - 18*o**2 = 0.
-3, -1/4, 0
Factor 2*f**4/7 - 16*f**3/7 - 2*f**2/7 + 16*f/7.
2*f*(f - 8)*(f - 1)*(f + 1)/7
Factor 4*z**2 - 92*z + 304.
4*(z - 19)*(z - 4)
Factor -4*y**2 - 236*y - 456.
-4*(y + 2)*(y + 57)
Let -3*l**2 + 87*l = 0. What is l?
0, 29
Factor -4*q**2/3 - 728*q - 99372.
-4*(q + 273)**2/3
Factor 5*n**4 + 215*n**3 - 675*n**2 + 685*n - 230.
5*(n - 1)**3*(n + 46)
Suppose 7*z**3/4 - 205*z**2/4 + 743*z/2 - 102 = 0. What is z?
2/7, 12, 17
Factor -2*m**3/7 + 6*m**2/7 + 18*m/7 - 54/7.
-2*(m - 3)**2*(m + 3)/7
Let 5*y**5 - 435*y**4 + 1680*y**3 - 1660*y**2 = 0. What is y?
0, 2, 83
Factor 81*a**4 + 126*a**3 - 68*a**2 + 8*a.
a*(a + 2)*(9*a - 2)**2
Find z such that 2*z**5/11 + 26*z**4/11 + 86*z**3/11 - 42*z**2/11 - 288*z/11 + 216/11 = 0.
-6, -3, 1
Determine l so that l**2/6 + 736*l/3 + 270848/3 = 0.
-736
Determine f so that 5*f**4 + 70*f**3 + 160*f**2 - 640*f = 0.
-8, 0, 2
Factor -4*q**3 - 308*q**2 - 304*q.
-4*q*(q + 1)*(q + 76)
Factor -5*i**2 + 20165*i - 20160.
-5*(i - 4032)*(i - 1)
Let 15*a**4/8 + 57*a**3/2 + 255*a**2/8 + 21*a/4 = 0. What is a?
-14, -1, -1/5, 0
Find k, given that -k**5/4 + 4*k**4 - 63*k**3/4 + 23*k**2 - 11*k = 0.
0, 1, 2, 11
Suppose -32*j**2 + 52*j + 84 = 0. What is j?
-1, 21/8
Factor 2*o**3/9 - 8*o**2/3 + 70*o/9 - 16/3.
2*(o - 8)*(o - 3)*(o - 1)/9
Find u, given that u**5 + 53*u**4 + 151*u**3 + 47*u**2 - 152*u - 100 = 0.
-50, -2, -1, 1
Factor 4*f**2 + 2104*f + 276676.
4*(f + 263)**2
What is a in -a**2/3 + 24*a - 432 = 0?
36
Solve 15*p**4 - 3950*p**3 + 258720*p**2 + 174240*p = 0.
-2/3, 0, 132
Factor 9*u**4 - 25*u**3 + 21*u**2 - 3*u - 2.
(u - 1)**3*(9*u + 2)
Find r such that r**2/3 - 8*r/3 + 4 = 0.
2, 6
Find s such that 2*s**4/3 - 2*s**3 - 10*s**2 - 34*s/3 - 4 = 0.
-1, 6
Factor 2*c**4/7 - 152*c**3/7 + 2880*c**2/7 - 20992*c/7 + 53248/7.
2*(c - 52)*(c - 8)**3/7
Determine b so that b**3/5 + 51*b**2/5 + 867*b/5 + 4913/5 = 0.
-17
Determine f, given that 21*f**3 - 15*f**2 - 444*f + 780 = 0.
-5, 2, 26/7
Solve -5*l**2 + 45*l + 110 = 0 for l.
-2, 11
Factor -2*r**3/9 - 8*r**2/9 - 2*r/3.
-2*r*(r + 1)*(r + 3)/9
Find c such that 2*c**2 - 10*c - 28 = 0.
-2, 7
Solve -3*d**2 + 312*d - 309 = 0 for d.
1, 103
Factor 2*x**2/9 + 122*x/9 - 1420/9.
2*(x - 10)*(x + 71)/9
What is a in -4*a**2/7 + 248*a/7 + 1632/7 = 0?
-6, 68
Factor -2*a**3/3 + 38*a - 112/3.
-2*(a - 7)*(a - 1)*(a + 8)/3
Factor -11*a**3/2 + 19*a**2 - 27*a/2.
-a*(a - 1)*(11*a - 27)/2
Solve m**4/6 + m**3/2 - 2*m**2/3 = 0.
-4, 0, 1
Factor -g**3 - 238*g**2 + 479*g - 240.
-(g - 1)**2*(g + 240)
Find x, given that 10*x**4 - 14*x**3 + 4*x**2 = 0.
0, 2/5, 1
Find y, given that 2*y**3/19 + 1274*y**2/19 + 2540*y/19 = 0.
-635, -2, 0
Let 4*g**3/7 - 228*g**2/7 - 3496*g/7 - 1440 = 0. What is g?
-9, -4, 70
Find w, given that 2*w**3/11 + 14*w**2/11 - 36*w = 0.
-18, 0, 11
Factor -4*r**3 + 20*r**2 - 24*r.
-4*r*(r - 3)*(r - 2)
Suppose 2*c**4/9 - 106*c**3/9 + 92*c**2/9 + 208*c/3 = 0. What is c?
-2, 0, 3, 52
Suppose -4*a**3 + 280*a**2 + 1168*a + 1184 = 0. Calculate a.
-2, 74
Factor -2*g**3 - 8*g**2 - 10*g - 4.
-2*(g + 1)**2*(g + 2)
Let 4*y**3/9 - 116*y**2/9 = 0. Calculate y.
0, 29
Factor -b**3/2 + 47*b**2 - 2009*b/2 - 4802.
-(b - 49)**2*(b + 4)/2
Solve -12*k**3 - 28*k**2 + 24*k = 0 for k.
-3, 0, 2/3
Factor -2*r**3/11 + 38*r**2/11 - 100*r/11 + 64/11.
-2*(r - 16)*(r - 2)*(r - 1)/11
Factor -3*t**3 + 3018*t**2.
-3*t**2*(t - 1006)
Factor -t**4/4 + 6*t**3 - 81*t**2/2 + 44*t + 363/4.
-(t - 11)**2*(t - 3)*(t + 1)/4
Solve -5*n**5 - 15*n**4 + 50*n**3 - 10*n**2 - 45*n + 25 = 0 for n.
-5, -1, 1
Suppose 32*z**3 + 60*z**2 - 8*z = 0. Calculate z.
-2, 0, 1/8
Solve -2*g**4/15 - 2*g**3/15 + 2*g**2/3 - 2*g/5 = 0.
-3, 0, 1
Factor -n**4/5 - 3*n**3/5 - 3*n**2/5 - n/5.
-n*(n + 1)**3/5
Determine c so that -c**3 - 381*c**2 + 765*c - 383 = 0.
-383, 1
Solve a**3/5 - 14*a**2/5 + 5*a - 12/5 = 0.
1, 12
Factor o**3/6 + o**2/3 - 31*o/6 + 14/3.
(o - 4)*(o - 1)*(o + 7)/6
Factor v**4/2 - 4*v**3 + 10*v**2 - 8*v.
v*(v - 4)*(v - 2)**2/2
Factor 2*t**3/19 + 30*t**2/19 - 66*t/19 + 34/19.
2*(t - 1)**2*(t + 17)/19
Factor -a**2/4 + 77*a/2 - 222.
-(a - 148)*(a - 6)/4
Determine q, given that 7431*q**2 - 4963*q/3 + 2/3 = 0.
1/2477, 2/9
Factor -3*a**2 - 3330*a - 924075.
-3*(a + 555)**2
Factor -f**3 - 17*f**2 - 80*f - 64.
-(f + 1)*(f + 8)**2
Find c, given that -c**2 - 19*c - 18 = 0.
-18, -1
Find p such that 2*p**2/3 - 384*p + 2296/3 = 0.
2, 574
Factor 2*f**2/3 + 26*f/3 - 2728/3.
2*(f - 31)*(f + 44)/3
Find g, given that -20*g**3 - 122*g**2 - 637*g/4 + 169/2 = 0.
-13/4, 2/5
Factor 2*h**4 + 66*h**3 - 450*h**2 - 21250*h.
2*h*(h - 17)*(h + 25)**2
Factor 3*l**2/5 + 44*l/5 - 3.
(l + 15)*(3*l - 1)/5
What is k in 3*k**2 + 51*k + 198 = 0?
-11, -6
Factor 7*c**2/8 + c - 3/2.
(c + 2)*(7*c - 6)/8
Let w**5 + 8*w**4 + 17*w**3 - 14*w**2 - 84*w - 72 = 0. What is w?
-3, -2, 2
Factor 14*c**2/15 + 44*c/5 - 16/3.
2*(c + 10)*(7*c - 4)/15
Factor 3*f**4/2 + 15*f**3/2 - 291*f**2/2 + 273*f/2.
3*f*(f - 7)*(f - 1)*(f + 13)/2
Factor 6*z**3 + 543*z**2 + 12420*z + 6075.
3*(z + 45)**2*(2*z + 1)
Find c such that -2*c**3/19 - 140*c**2/19 - 1394*c/19 + 40344/19 = 0.
-41, 12
Suppose -55*q**2 + 760*q + 140 = 0. Calculate q.
-2/11, 14
Determine o, given that 64*o**4 + 132*o**3 - 56*o**2 - 132*o - 8 = 0.
-2, -1, -1/16, 1
Suppose j**3/5 + 3438*j**2/5 + 2958396*j/5 + 5903048/5 = 0. What is j?
-1718, -2
Factor -2*w**4 - 182*w**3 - 3858*w**2 + 12878*w - 8836.
-2*(w - 2)*(w - 1)*(w + 47)**2
Let 7*k**4/8 + 155*k**3/8 + 863*k**2/8 - 11*k/8 - 363/4 = 0. Calculate k.
-11, -1, 6/7
Solve -5*o**3 + 205*o**2 - 1995*o - 2205 = 0 for o.
-1, 21
Factor -8*j**3/17 + 478*j**2/17 - 7080*j/17 - 1800/17.
-2*(j - 30)**2*(4*j + 1)/17
Find q such that 4*q**2/3 - 40*q/3 + 100/3 = 0.
5
Factor 2*a**3/15 - 4*a**2/3 - 26*a/5 + 24.
2*(a - 12)*(a - 3)*(a + 5)/15
Factor -b**5 - 98*b**4 - 97*b**3.
-b**3*(b + 1)*(b + 97)
Find r, given that -2*r**4/13 - 64*r**3/13 - 174*r**2/13 = 0.
-29, -3, 0
Suppose -4*t**4 - 20*t**3 + 148*t**2 + 356*t - 480 = 0. Calculate t.
-8, -3, 1, 5
Let -4*p**2 - 116*p + 384 = 0. Calculate p.
-32, 3
Factor -q**3/4 - 30*q**2 + q + 120.
-(q - 2)*(q + 2)*(q + 120)/4
What is a in 3*a**3/4 - 21*a**2/4 + 21*a/2 - 6 = 0?
1, 2, 4
Let 