*m**3 - 63*m**2 + 36*m - 3.
3*(m - 1)**2*(10*m - 1)
Determine x, given that 4*x**4/5 - 24*x**3/5 - 12*x**2 - 32*x/5 = 0.
-1, 0, 8
Let 2*p**4/7 - 2*p**3 + 18*p**2/7 + 54*p/7 - 108/7 = 0. What is p?
-2, 3
Suppose -c**3/6 - 11*c**2 + c/6 + 11 = 0. What is c?
-66, -1, 1
Solve -4*g**3/5 - 24*g**2 + 3200 = 0.
-20, 10
Solve -4*t**2 - 28*t + 72 = 0 for t.
-9, 2
What is z in -6*z**4/7 + 4*z**3/7 + 72*z**2/7 + 48*z/7 - 64/7 = 0?
-2, 2/3, 4
Factor 5*w**5 + 12090*w**4 + 7320485*w**3 + 14604720*w**2 + 7296320*w.
5*w*(w + 1)**2*(w + 1208)**2
Suppose h**2 + 1595*h + 1594 = 0. Calculate h.
-1594, -1
Factor -2300*h**2 - 4599*h + 2.
-(h + 2)*(2300*h - 1)
Factor -a**2/6 - 91*a/6 - 44.
-(a + 3)*(a + 88)/6
Determine g so that -2*g**4 + 4*g**3 + 686*g**2 + 680*g = 0.
-17, -1, 0, 20
Factor -h**3/3 + 6688*h**2/3 - 11182336*h/3.
-h*(h - 3344)**2/3
Determine m, given that 2*m**3/3 - 16*m**2 + 46*m/3 = 0.
0, 1, 23
Solve -3*d**3 + 30*d**2 + 48*d - 480 = 0 for d.
-4, 4, 10
Factor 5*z**4 + 1955*z**3 + 251460*z**2 + 10193040*z - 57499200.
5*(z - 5)*(z + 132)**3
Let -4*f**2 - 1680*f - 176400 = 0. What is f?
-210
Let 10*a**4/3 + 92*a**3 - 122*a**2/3 - 92*a + 112/3 = 0. Calculate a.
-28, -1, 2/5, 1
What is x in -2*x**3 - 16*x**2 + 88*x + 480 = 0?
-10, -4, 6
Let -3*d**5 + 30*d**3 - 60*d**2 + 45*d - 12 = 0. Calculate d.
-4, 1
Factor -14405*w**2 - 14395*w + 10.
-5*(w + 1)*(2881*w - 2)
Let 2*c**3/3 - 6658*c**2/3 - 13322*c/3 - 6662/3 = 0. What is c?
-1, 3331
Factor 4*q**3 - 104*q**2 - 364*q + 464.
4*(q - 29)*(q - 1)*(q + 4)
Solve -3*o**4 - 570*o**3 - 36288*o**2 - 785862*o - 750141 = 0 for o.
-63, -1
Determine x so that -2*x**5/9 - 16*x**4/9 + 4*x**3/9 + 248*x**2/9 + 430*x/9 + 200/9 = 0.
-5, -1, 4
Factor 2*f**2 + 134*f + 132.
2*(f + 1)*(f + 66)
Factor c**2/8 + 109*c/4 + 11881/8.
(c + 109)**2/8
Factor -5*r**5 - 35*r**4.
-5*r**4*(r + 7)
Find f, given that 18*f**2/11 - 6286*f/11 + 1396/11 = 0.
2/9, 349
Factor 3*u**2 + 69*u + 228.
3*(u + 4)*(u + 19)
Factor 2*w**2 + 14*w + 12.
2*(w + 1)*(w + 6)
Factor 4*j**2 + 1008*j + 1004.
4*(j + 1)*(j + 251)
Solve u**2/4 + 513*u/4 + 128 = 0 for u.
-512, -1
Factor -n**2 + 188*n - 8836.
-(n - 94)**2
Factor j**5 + 6*j**4 + 11*j**3 + 2*j**2 - 12*j - 8.
(j - 1)*(j + 1)*(j + 2)**3
Find g, given that -3*g**2 - 546*g + 549 = 0.
-183, 1
Factor 9*r**4 - 101*r**3 + 292*r**2 - 60*r.
r*(r - 6)*(r - 5)*(9*r - 2)
Factor -75*r**4 + 60*r**3 - 12*r**2.
-3*r**2*(5*r - 2)**2
Solve -4*b**2/3 - 376*b/3 - 124 = 0.
-93, -1
Let -z**2/5 + 6*z/5 - 9/5 = 0. What is z?
3
Factor -a**2/9 - 77*a/9 - 50/3.
-(a + 2)*(a + 75)/9
Factor p**3/2 - 189*p**2 - 759*p/2 - 190.
(p - 380)*(p + 1)**2/2
Factor 5*h**3 + 65*h**2 + 220*h + 160.
5*(h + 1)*(h + 4)*(h + 8)
Factor 2*v**3 + 3654*v**2 - 2*v - 3654.
2*(v - 1)*(v + 1)*(v + 1827)
Solve -18*a**3/23 + 112*a**2/23 + 102*a/23 - 28/23 = 0 for a.
-1, 2/9, 7
Factor -t**4/2 - 13*t**3/2 - 47*t**2/2 - 35*t/2.
-t*(t + 1)*(t + 5)*(t + 7)/2
Factor -4*a**2/5 - 21256*a/5 + 4252.
-4*(a - 1)*(a + 5315)/5
Factor -5*r**3 - 20*r**2 + 2015*r + 18590.
-5*(r - 22)*(r + 13)**2
Factor -2*o**4/7 - 82*o**3/7 - 114*o**2 + 126*o.
-2*o*(o - 1)*(o + 21)**2/7
Let -4*p**4 + 92*p**3 + 4*p**2 - 92*p = 0. What is p?
-1, 0, 1, 23
Factor -5*v**3 - 460*v**2 + 2405*v - 1940.
-5*(v - 4)*(v - 1)*(v + 97)
Find v, given that -3*v**2/2 - 6*v - 9/2 = 0.
-3, -1
Solve w**4 - 154*w**3 + 5772*w**2 + 12168*w = 0.
-2, 0, 78
What is p in 3*p**4/2 + 51*p**3/2 + 45*p**2/2 - 51*p/2 - 24 = 0?
-16, -1, 1
Factor -35*t**3 + 155*t**2 - 120*t.
-5*t*(t - 1)*(7*t - 24)
Solve 8*f**4 + 34*f**3 + 22*f**2 - 34*f - 30 = 0 for f.
-3, -5/4, -1, 1
Find z, given that 5*z**4 - 1130*z**3 + 2235*z**2 + 1130*z - 2240 = 0.
-1, 1, 2, 224
What is p in p**5 + p**4 - p**3 - p**2 = 0?
-1, 0, 1
Factor 4*i**2 + 44*i + 40.
4*(i + 1)*(i + 10)
Suppose 5*k**2 + 1525*k = 0. What is k?
-305, 0
Solve 2*a**4/7 - 6*a**3/7 - 12*a**2/7 + 16*a/7 = 0.
-2, 0, 1, 4
Suppose -2*y**2/3 + 24*y + 78 = 0. What is y?
-3, 39
Factor -5*q**2/6 - 10*q/3 + 25/6.
-5*(q - 1)*(q + 5)/6
Factor 4*m**3/7 + 4320*m**2/7 - 4324*m/7.
4*m*(m - 1)*(m + 1081)/7
Determine g, given that g**2/7 + 2*g/7 - 3/7 = 0.
-3, 1
Suppose 3*x**5 + 357*x**4 + 14394*x**3 + 205686*x**2 + 369603*x + 177957 = 0. What is x?
-39, -1
Factor -2*l**4/13 - 120*l**3 - 305756*l**2/13 - 46680*l - 302642/13.
-2*(l + 1)**2*(l + 389)**2/13
Factor 2*r**4/13 - 12*r**3/13 + 18*r**2/13.
2*r**2*(r - 3)**2/13
Factor -3*k**2 - 1152*k - 6804.
-3*(k + 6)*(k + 378)
Solve 2*d**3/19 + 44*d**2/19 + 82*d/19 + 40/19 = 0.
-20, -1
Factor 5*b**3 - 10*b**2 - 5*b + 10.
5*(b - 2)*(b - 1)*(b + 1)
Determine x, given that -5*x**4/3 + 335*x**3/3 + 3805*x**2/3 + 1155*x = 0.
-9, -1, 0, 77
Determine k so that 5*k**5 + 925*k**4/4 + 1975*k**3/4 - 125*k**2/2 - 330*k = 0.
-44, -2, -1, 0, 3/4
Factor -1029*g**4/4 + 84819*g**3/2 - 36225*g**2 + 10338*g - 984.
-3*(g - 164)*(7*g - 2)**3/4
Factor -z**4/4 + 13*z**3/4 + 3*z**2/4 - 297*z/4 - 243/2.
-(z - 9)**2*(z + 2)*(z + 3)/4
Solve -52*f**5 + 36*f**4/5 + 4336*f**3/5 + 8832*f**2/5 + 5248*f/5 + 192 = 0.
-2, -6/13, -2/5, 5
Find c such that 5*c**3/2 + 24*c**2 + 105*c/2 - 25 = 0.
-5, 2/5
Solve 3*l**3 - 21*l**2 + 42*l - 24 = 0.
1, 2, 4
Let f**4/5 + 272*f**3/5 + 27744*f**2/5 + 1257728*f/5 + 21381376/5 = 0. What is f?
-68
Suppose -x**4/4 + x**3/2 + 56*x**2 = 0. Calculate x.
-14, 0, 16
Let -2*d**4 + 116*d**3/3 + 86*d**2/3 - 116*d/3 - 80/3 = 0. Calculate d.
-1, -2/3, 1, 20
What is v in -2*v**3/11 - 36*v**2/11 - 64*v/11 = 0?
-16, -2, 0
What is s in s**5/6 - 106*s**4/3 + 4946*s**3/3 + 23744*s**2 + 75264*s = 0?
-6, 0, 112
Determine v so that v**4/2 - 17*v**3/2 - 85*v**2/2 + 17*v/2 + 42 = 0.
-4, -1, 1, 21
What is j in 5*j**5 - 45*j**4 = 0?
0, 9
Suppose 5*z**2 + 5*z - 150 = 0. Calculate z.
-6, 5
Solve -a**4 + 2*a**3 + 67*a**2 - 260*a + 252 = 0.
-9, 2, 7
Find i such that 4*i**4 - 716*i**3 - 1444*i**2 - 724*i = 0.
-1, 0, 181
Solve k**3/2 + 59*k**2/2 + 137*k + 108 = 0 for k.
-54, -4, -1
Factor -5*d**4 - 90*d**3 - 560*d**2 - 1350*d - 875.
-5*(d + 1)*(d + 5)**2*(d + 7)
Solve -4*c**5 - 120*c**4 - 784*c**3 + 1032*c**2 + 788*c - 912 = 0 for c.
-19, -12, -1, 1
Let -2*a**4/7 + 6*a**3/7 + 38*a**2/7 - 6*a/7 - 36/7 = 0. What is a?
-3, -1, 1, 6
Solve -4*s**2/5 + 16*s/5 - 16/5 = 0.
2
What is m in 3*m**2/4 + 3*m/4 - 315/2 = 0?
-15, 14
Factor r**4/8 - 5*r**3/8 + r**2/2.
r**2*(r - 4)*(r - 1)/8
Solve r**5/2 + 29*r**4/2 + 23*r**3 - 1125*r**2 + 8721*r/2 - 9747/2 = 0.
-19, 3
Factor 2*d**3/3 + 166*d**2/3 - 8*d/3 - 664/3.
2*(d - 2)*(d + 2)*(d + 83)/3
Factor 4*m**2/7 + 60*m/7 - 736/7.
4*(m - 8)*(m + 23)/7
Determine l, given that 10*l**2 - 15*l - 25 = 0.
-1, 5/2
Factor -o**2/2 + 107*o - 11449/2.
-(o - 107)**2/2
Suppose g**2/6 + 88*g - 531/2 = 0. Calculate g.
-531, 3
Suppose 12*q**4 + 292*q**3 + 1716*q**2 + 540*q = 0. What is q?
-15, -9, -1/3, 0
Solve 3*s**3/7 - 57*s**2/7 + 51*s - 105 = 0.
5, 7
Find t such that 2*t**2/5 + 4*t/5 - 286/5 = 0.
-13, 11
Solve 2*t**5/11 - 24*t**4/11 - 54*t**3/11 - 28*t**2/11 = 0.
-1, 0, 14
Factor -2*o**2 + 10*o + 12.
-2*(o - 6)*(o + 1)
Factor 2*n**2/3 + 98*n/3 + 32.
2*(n + 1)*(n + 48)/3
Determine t so that -t**2 + t + 6 = 0.
-2, 3
Suppose 3*f**3/8 - 3*f/8 = 0. What is f?
-1, 0, 1
Determine p, given that -4*p**5/7 + 48*p**4/7 - 12*p**3 - 56*p**2 = 0.
-2, 0, 7
Factor w**3/4 - w**2/2 - 5*w/4 + 3/2.
(w - 3)*(w - 1)*(w + 2)/4
Suppose 35*p**4 + 1530*p**3 - 2015*p**2 + 450*p = 0. What is p?
-45, 0, 2/7, 1
Determine h so that -h**3/6 + 59*h**2/3 + 244*h/3 = 0.
-4, 0, 122
Determine k, given that -3*k**5/5 + 18*k**4/5 - 36*k**3/5 + 24*k**2/5 = 0.
0, 2
Determine u, given that 3*u**2 + 27*u = 0.
-9, 0
Solve 3*q**2 + 54*q + 168 = 0 for q.
-14, -4
Factor -s**4/5 - 2*s**3/5 + 2*s/5 + 1/5.
-(s - 1)*(s + 1)**3/5
Solve p**4/3 - 964*p**3/3 + 103040*p**2 - 32764144*p/3 - 66772496/3 = 0 for p.
-2, 322
What is a in -a**3 + 15*a**2 + 16*a = 0?
-1, 0, 16
What is n in -5*n**3 - 2430*n**2 - 297660*n - 585640 = 0?
-242, -2
Solve -3*n**5 + 8*n**4 + 5*n**3 - 30*n**2 + 28*n - 8 = 0 for n.
-2, 2/3, 1, 2
Factor -5*j**4 + 575*j**3.
-5*j**3*(j - 115)
Factor 2*k**2 - 176*k + 344.
2*(k - 86)*(k - 2)
Suppose -2*a**2 - 412*a - 21218 = 0. What is a?
-103
Factor 2*b**4/3 - 20*b**3/3 + 50*b**2/3.
2*b**2*(b - 5)**2/3
What is j in -j**4/8 - j**3/4 + j**2/2 + j/4 - 3/8 = 0?
-3, -1, 1
Factor 2*i**5 - 862*i**4 + 92448*i**3 + 93312*i**2.
2*