 1)*(b + 12)**2
Let -2*m**2/13 + 78*m - 3024/13 = 0. Calculate m.
3, 504
Let -h**2 + 12028*h - 36168196 = 0. Calculate h.
6014
Let -r**2/9 + 11974*r/9 - 35844169/9 = 0. What is r?
5987
Solve 2*v**2/3 - 1016*v + 387096 = 0.
762
Let -4*h**5 + 12*h**4 + 40*h**3 = 0. Calculate h.
-2, 0, 5
Determine h so that -h**2/5 + 426*h + 2131/5 = 0.
-1, 2131
Solve -h**3/4 - 2235*h**2/2 - 1665075*h - 826987250 = 0.
-1490
Let -5*t**5 + 55*t**4 - 40*t**3 - 100*t**2 = 0. Calculate t.
-1, 0, 2, 10
Solve 28*k**2 - 300*k - 1800 = 0.
-30/7, 15
Let -2*h**3 + 224*h**2 + 238*h - 1356 = 0. Calculate h.
-3, 2, 113
What is l in -3*l**4 + 21*l**3 + 27*l**2 - 21*l - 24 = 0?
-1, 1, 8
Suppose -p**4/2 + p**3/2 + 3*p**2/2 - p/2 - 1 = 0. What is p?
-1, 1, 2
Factor j**2 - 234*j + 233.
(j - 233)*(j - 1)
Solve -40*l**5 + 138*l**4 - 56*l**3 + 6*l**2 = 0.
0, 1/5, 1/4, 3
Factor 3*u**2/7 - 3405*u/7 - 3408/7.
3*(u - 1136)*(u + 1)/7
Factor 2*p**4/3 - 2*p**2/3.
2*p**2*(p - 1)*(p + 1)/3
Solve -2*l**2/9 - 518*l/9 - 392 = 0 for l.
-252, -7
Factor v**4/4 - 9*v**3 + 69*v**2/4 - 17*v/2.
v*(v - 34)*(v - 1)**2/4
Find k such that 2*k**5/13 + 184*k**4/13 + 5756*k**3/13 + 64784*k**2/13 + 113026*k/13 + 53816/13 = 0.
-31, -28, -1
Factor -q**2 + 1492*q - 556516.
-(q - 746)**2
Find g such that g**4/3 - 31*g**3/3 - 86*g**2/3 + 228*g - 264 = 0.
-6, 2, 33
Factor -a**5 - 29*a**4 - 190*a**3 + 936*a**2 + 7776*a - 17280.
-(a - 5)*(a - 2)*(a + 12)**3
Find q, given that 8*q**2/5 - 19*q/5 + 11/5 = 0.
1, 11/8
Factor -3*x**2 - 456*x - 453.
-3*(x + 1)*(x + 151)
Let 4*k**2 - 408*k + 10404 = 0. What is k?
51
Factor 3*s**2 + 1371*s + 8118.
3*(s + 6)*(s + 451)
Let 2*g**2/9 + 74*g/9 - 52/3 = 0. Calculate g.
-39, 2
Factor 3*o**3/4 - 99*o**2/4 + 177*o/4 + 279/4.
3*(o - 31)*(o - 3)*(o + 1)/4
What is p in -2*p**4/3 + 164*p**3/15 - 794*p**2/15 + 1192*p/15 - 24 = 0?
2/5, 2, 5, 9
Factor 155*l**2 + 3110*l + 200.
5*(l + 20)*(31*l + 2)
Factor 2*g**3 - 444*g**2 - 894*g - 448.
2*(g - 224)*(g + 1)**2
Factor l**5 - 7*l**3 + 6*l**2.
l**2*(l - 2)*(l - 1)*(l + 3)
Factor -2*k**2 - 3704*k - 1714952.
-2*(k + 926)**2
Suppose l**2/5 - 544*l/5 = 0. Calculate l.
0, 544
Suppose -2*j**2 - 84*j + 576 = 0. Calculate j.
-48, 6
What is k in k**5/2 - 2*k**4 - 21*k**3/2 - 2*k**2 + 14*k = 0?
-2, 0, 1, 7
What is k in 3*k**3/8 - 33*k**2/8 + 15*k/4 = 0?
0, 1, 10
Find z, given that z**3 - 12*z**2 + 35*z - 24 = 0.
1, 3, 8
Factor -2*h**3/7 - 20*h**2/7 - 32*h/7.
-2*h*(h + 2)*(h + 8)/7
Let 33*g**4/7 - 456*g**3/7 - 1107*g**2/7 - 102*g - 96/7 = 0. Calculate g.
-1, -2/11, 16
What is q in q**3/2 - q**2 - 2*q + 4 = 0?
-2, 2
Find x, given that x**5/7 + 162*x**4/7 + 6721*x**3/7 + 12960*x**2/7 + 6400*x/7 = 0.
-80, -1, 0
Let s**5/5 - 4*s**4/5 - 104*s**3/5 - 90*s**2 - 729*s/5 - 378/5 = 0. What is s?
-3, -1, 14
Find w such that -2*w**5/7 + 10*w**4/7 - 4*w**3/7 - 16*w**2/7 = 0.
-1, 0, 2, 4
Factor -5*a**3 - 15*a**2.
-5*a**2*(a + 3)
Factor 2*w**3/3 - 528*w**2 + 1054*w - 1580/3.
2*(w - 790)*(w - 1)**2/3
Factor v**2/5 + 48*v/5 + 47/5.
(v + 1)*(v + 47)/5
Determine r, given that -2*r**2 - 4*r = 0.
-2, 0
Solve 2*c**5/7 - 2*c**4 + 36*c**3/7 - 40*c**2/7 + 16*c/7 = 0 for c.
0, 1, 2
Factor -2*n**4/7 + 360*n**3/7 - 16556*n**2/7 + 32040*n/7 - 15842/7.
-2*(n - 89)**2*(n - 1)**2/7
Find g such that 784*g**3 - 3584*g**2 - 1644*g - 180 = 0.
-3/14, 5
Factor -5*t**5 - 70*t**4 + 360*t**3 - 80*t**2 - 1360*t + 1440.
-5*(t - 2)**3*(t + 2)*(t + 18)
Determine v, given that -4*v**5/5 - 192*v**4/5 - 656*v**3/5 + 448*v**2 + 5376*v/5 - 11264/5 = 0.
-44, -4, 2
What is u in -u**4 + 12*u**3 + 61*u**2 + 48*u = 0?
-3, -1, 0, 16
What is h in -4*h**4/3 - 140*h**3/3 + 4*h**2 + 428*h/3 + 280/3 = 0?
-35, -1, 2
Factor -4*s**5 + 68*s**4 - 120*s**3 - 8*s**2 + 124*s - 60.
-4*(s - 15)*(s - 1)**3*(s + 1)
Let m**5 + 127*m**4 + 4085*m**3 + 2717*m**2 - 38682*m + 31752 = 0. Calculate m.
-63, -4, 1, 2
Factor 6*r**3/11 - 398*r**2/11 + 606*r - 198.
2*(r - 33)**2*(3*r - 1)/11
Let 2*g**2/11 + 46*g/11 - 48/11 = 0. What is g?
-24, 1
Factor -20*k**3 + 38*k**2 - 16*k - 2.
-2*(k - 1)**2*(10*k + 1)
Factor 3*l**5 - 18*l**4 - 9*l**3 + 48*l**2 + 36*l.
3*l*(l - 6)*(l - 2)*(l + 1)**2
Let -8*r**5 + 8*r**4 + 30*r**3 - 32*r**2 + 8*r = 0. What is r?
-2, 0, 1/2, 2
Factor 3*s**3/4 - 12*s**2 + 177*s/4 - 33.
3*(s - 11)*(s - 4)*(s - 1)/4
Factor -2*i**4/23 - 98*i**3/23 - 190*i**2/23 - 94*i/23.
-2*i*(i + 1)**2*(i + 47)/23
Find t such that -2*t**4/5 + 56*t**3/5 + 316*t**2/5 + 456*t/5 + 198/5 = 0.
-3, -1, 33
Factor -3*z**4/5 - 1104*z**3/5 - 88698*z**2/5 + 473616*z - 2760615.
-3*(z - 11)**2*(z + 195)**2/5
Find f such that 8*f**5/5 - 1474*f**4/5 - 1112*f**3/5 + 74*f**2 = 0.
-1, 0, 1/4, 185
Factor -w**5/4 + w**4/2 - w**2/2 + w/4.
-w*(w - 1)**3*(w + 1)/4
Factor 2*x**2/5 - 96*x/5 - 106.
2*(x - 53)*(x + 5)/5
Determine m so that 4*m**2/3 - 56*m = 0.
0, 42
What is n in 6*n**3 - 141*n**2/2 + 198*n + 54 = 0?
-1/4, 6
Let -4*h**3 - 192*h**2 - 548*h - 360 = 0. What is h?
-45, -2, -1
Factor 4*z**2/7 - 148*z + 1032/7.
4*(z - 258)*(z - 1)/7
Factor 12*n**4 + 184*n**3 + 228*n**2 + 56*n.
4*n*(n + 1)*(n + 14)*(3*n + 1)
Suppose -4*j**2 - 929*j - 232 = 0. Calculate j.
-232, -1/4
Suppose -14*k**4 - 26*k**3 + 74*k**2 + 74*k - 12 = 0. Calculate k.
-3, -1, 1/7, 2
Find o such that o**3 + 762*o**2 + 1521*o + 760 = 0.
-760, -1
Find d such that 5*d**3 + 4410*d**2 + 1296540*d + 127060920 = 0.
-294
Suppose 2*p**4 - 6*p**3 + 2*p**2 + 6*p - 4 = 0. Calculate p.
-1, 1, 2
Find y, given that -y**4/10 - 47*y**3/10 - 27*y**2/2 - 133*y/10 - 22/5 = 0.
-44, -1
Factor -3*u**3 + 24*u**2 + 159*u - 180.
-3*(u - 12)*(u - 1)*(u + 5)
Factor -5*m**4 - 225*m**3 - 215*m**2 + 225*m + 220.
-5*(m - 1)*(m + 1)**2*(m + 44)
Factor r**4 - r**3 - 52*r**2 - 164*r - 144.
(r - 9)*(r + 2)**2*(r + 4)
Determine i, given that -6*i**5 + 87*i**4/5 - 84*i**3/5 + 27*i**2/5 = 0.
0, 9/10, 1
Factor 2*y**2/7 + 1080*y/7 + 145800/7.
2*(y + 270)**2/7
Factor -n**4/4 - 5*n**3/2 + 23*n**2/4 - 3*n.
-n*(n - 1)**2*(n + 12)/4
Factor 21*o**5 - 261*o**4 + 864*o**3 - 324*o**2.
3*o**2*(o - 6)**2*(7*o - 3)
Solve 2*m**3/11 + 28*m**2/11 + 2*m - 52/11 = 0.
-13, -2, 1
Solve -3*g**4/7 + 3*g**3/7 = 0 for g.
0, 1
Let t**3/2 + 87*t**2 + 3696*t - 7744 = 0. Calculate t.
-88, 2
Factor -2*n**2/3 + 2/3.
-2*(n - 1)*(n + 1)/3
Factor -6*n**4/7 + 108*n**3/7 - 360*n**2/7 + 48*n.
-6*n*(n - 14)*(n - 2)**2/7
What is m in -5*m**4 - 65*m**3 + 145*m**2 - 75*m = 0?
-15, 0, 1
Suppose -2*t**5/13 + 14*t**4/13 - 12*t**3/13 - 56*t**2/13 + 80*t/13 = 0. What is t?
-2, 0, 2, 5
Find c such that 3993*c**3/7 + 1140*c**2 + 3981*c/7 - 6/7 = 0.
-1, 2/1331
Factor 5547*c**3/8 + 5031*c**2/8 - 63*c + 3/2.
3*(c + 1)*(43*c - 2)**2/8
What is b in 50*b**3/9 - 40*b**2/3 + 8*b = 0?
0, 6/5
Factor -5*g**4 + 32480*g**3 - 79121280*g**2 + 85661972480*g - 34778760826880.
-5*(g - 1624)**4
Solve -3*m**2 - 1734*m - 250563 = 0.
-289
Suppose -2*b**5/7 + 14*b**4 - 750*b**3/7 + 1150*b**2/7 + 2000*b/7 = 0. What is b?
-1, 0, 5, 40
Factor -2*v**2/11 + 42*v/11 + 92/11.
-2*(v - 23)*(v + 2)/11
Factor -6*k**2 + 447*k + 225.
-3*(k - 75)*(2*k + 1)
Let -4*c**3 + 68*c**2 - 216*c - 288 = 0. What is c?
-1, 6, 12
Determine a, given that a**5 + 4*a**4 - 12*a**3 - 32*a**2 + 64*a = 0.
-4, 0, 2
Factor 2*c**4 + 18*c**3 + 22*c**2 - 42*c.
2*c*(c - 1)*(c + 3)*(c + 7)
Let -y**2/5 + 11*y/5 - 24/5 = 0. What is y?
3, 8
Factor -2*t**3 - 760*t**2 - 2998*t + 3760.
-2*(t - 1)*(t + 5)*(t + 376)
Suppose -z**2/9 - 154*z/3 - 5929 = 0. What is z?
-231
Let h**4/2 - 15*h**3 + 122*h**2 - 345*h + 475/2 = 0. What is h?
1, 5, 19
Factor 20*k**5 + 48*k**4 + 36*k**3 + 8*k**2.
4*k**2*(k + 1)**2*(5*k + 2)
Find t such that 4*t**2 - 4*t = 0.
0, 1
Determine x, given that 2*x**3 + 3040*x**2 = 0.
-1520, 0
Factor 3*h**4/2 - 48*h**3 - 99*h**2 + 7728*h + 77763/2.
3*(h - 23)**2*(h + 7)**2/2
Factor -5*s**3 - 75*s**2 + 80*s + 1200.
-5*(s - 4)*(s + 4)*(s + 15)
Factor 2*c**4 + 168*c**3 + 166*c**2.
2*c**2*(c + 1)*(c + 83)
Solve 5*n**2 - 4525*n = 0.
0, 905
Find w, given that -21*w**3 - 132*w**2 - 204*w - 48 = 0.
-4, -2, -2/7
Factor 2*m**2 - 44*m + 224.
2*(m - 14)*(m - 8)
Factor h**3/2 + 3*h**2 + 9*h/2.
h*(h + 3)**2/2
Solve -4*n**4/5 - 146*n**3/5 - 212*n**2/5 - 14*n = 0 for n.
-35, -1, -1/2, 0
Factor -f**3/4 + 45*f**2/4 - 87*f/4 - 10933/4.
-(f - 29)**2*(f + 13)/4
Let 3*t**2 - 15*t = 0. Calculate t.
0, 5
Suppose -6*x**2/11 - 10*x/11 + 16/11 = 0. What is x?
-