- 40*h - 14.
2*(h - 7)*(h + 1)*(2*h + 1)
Factor 3*y**2/5 + 171*y/5 - 108.
3*(y - 3)*(y + 60)/5
Let 2*u**3 - 108*u**2 - 222*u - 112 = 0. Calculate u.
-1, 56
Factor -8*d**4 - 42*d**3 - 10*d**2.
-2*d**2*(d + 5)*(4*d + 1)
Find g such that 4*g**2/7 + 120*g/7 = 0.
-30, 0
Determine v so that 2*v**2 + 34*v = 0.
-17, 0
Factor -5*d**3 + 230*d**2 - 2645*d.
-5*d*(d - 23)**2
Find b such that -182*b**2/17 + 186*b/17 - 4/17 = 0.
2/91, 1
Find b, given that -2*b**5 - 10*b**4 + 66*b**3 + 154*b**2 + 80*b = 0.
-8, -1, 0, 5
Factor 5*x**2/3 + 5*x/3.
5*x*(x + 1)/3
Let -5618*m**4/5 - 3922*m**3/5 + 12804*m**2/5 - 704*m + 256/5 = 0. Calculate m.
-2, 8/53, 1
Let 39*n**2 + 157*n/2 + 1 = 0. What is n?
-2, -1/78
Determine t, given that -t**2 + 7468*t - 13942756 = 0.
3734
Factor -19602*f**3/5 - 396*f**2/5 - 2*f/5.
-2*f*(99*f + 1)**2/5
What is m in 3*m**2 + 204*m + 3468 = 0?
-34
Suppose 4*h**3 - 84*h**2 = 0. Calculate h.
0, 21
Find w, given that -3*w**4 + 27*w**3 - 63*w**2 + 57*w - 18 = 0.
1, 6
Find t such that -3*t**3/5 - 9*t**2 + 102*t/5 = 0.
-17, 0, 2
Factor -35*f**4/2 + 30*f**3 + 10*f**2.
-5*f**2*(f - 2)*(7*f + 2)/2
Factor 2*l**5 - 13*l**4 + 17*l**3 + 12*l**2.
l**2*(l - 4)*(l - 3)*(2*l + 1)
Factor -3*v**2 - 210*v + 213.
-3*(v - 1)*(v + 71)
Factor -c**4 - 84*c**3 - 2068*c**2 - 12768*c - 23104.
-(c + 4)**2*(c + 38)**2
Factor 21*q**2 + 603*q - 174.
3*(q + 29)*(7*q - 2)
Factor 3*b**3/2 + 123*b**2/2 + 1281*b/2 + 3969/2.
3*(b + 7)**2*(b + 27)/2
Let v**3/4 + 3*v**2/4 - 19*v + 33 = 0. What is v?
-11, 2, 6
Factor -2*s**4 - 48*s**3 - 330*s**2 - 700*s.
-2*s*(s + 5)**2*(s + 14)
Solve -10*y**5/7 - 286*y**4/7 - 394*y**3/7 + 1014*y**2/7 - 324*y/7 = 0.
-27, -3, 0, 2/5, 1
Factor -i**2/3 - 46*i/3 + 47/3.
-(i - 1)*(i + 47)/3
Determine z so that -21*z**4 + 594*z**3 - 4725*z**2 + 8232*z - 1980 = 0.
2/7, 2, 11, 15
Factor 15*x**2 - 3*x - 66.
3*(x + 2)*(5*x - 11)
Factor 5*i**2 - 340*i - 1065.
5*(i - 71)*(i + 3)
Factor 6*q**4 - 58*q**3 + 180*q**2 - 216*q + 80.
2*(q - 5)*(q - 2)**2*(3*q - 2)
Factor -g**4/7 - 5*g**3 - 323*g**2/7 - 289*g/7.
-g*(g + 1)*(g + 17)**2/7
Suppose -b**4 - 4*b**3 + 19*b**2 - 14*b = 0. What is b?
-7, 0, 1, 2
Factor -7*d**3/3 - 55*d**2/3 + 14*d/3 + 16.
-(d - 1)*(d + 8)*(7*d + 6)/3
Factor -2*q**2/5 - 104*q.
-2*q*(q + 260)/5
Solve -11*q**5/4 + 13*q**4/4 + 65*q**3/2 - 83*q**2 + 58*q - 8 = 0 for q.
-4, 2/11, 1, 2
Suppose -5*g**2 + 325*g + 3330 = 0. Calculate g.
-9, 74
Find h such that 5*h**2 - 80*h = 0.
0, 16
Determine t so that -t**3/4 + 167*t**2/4 - 7055*t/4 + 6889/4 = 0.
1, 83
Determine l, given that -3*l**4/4 - 69*l**3/2 - 1275*l**2/4 + 1875*l = 0.
-25, 0, 4
Let -7*q**2/5 - 359*q/5 - 102/5 = 0. What is q?
-51, -2/7
Let 4*q**4 + 8*q**3 - 228*q**2 - 232*q + 448 = 0. What is q?
-8, -2, 1, 7
Factor -2*j**4 - 226*j**3 - 7126*j**2 - 41870*j - 67416.
-2*(j + 3)*(j + 4)*(j + 53)**2
Find r such that 36*r**4 - 124*r**3 + 156*r**2 - 84*r + 16 = 0.
4/9, 1
Factor 5*i**3 + 1745*i**2 - 7040*i + 7060.
5*(i - 2)**2*(i + 353)
Determine t, given that -4*t**4 - 20*t**3 - 32*t**2 - 16*t = 0.
-2, -1, 0
Factor -n**4/2 + 281*n**3/2 + 141*n**2.
-n**2*(n - 282)*(n + 1)/2
Let -15*d**5/7 - 417*d**4/7 - 3246*d**3/7 - 4794*d**2/7 - 1443*d/7 + 507/7 = 0. Calculate d.
-13, -1, 1/5
Factor -4*u**5 + 28*u**4 - 36*u**3 - 108*u**2 + 216*u.
-4*u*(u - 3)**3*(u + 2)
Let 4*u**5 + 28*u**4 + 20*u**3 - 28*u**2 - 24*u = 0. Calculate u.
-6, -1, 0, 1
Factor y**3 - 48*y**2 - 261*y - 212.
(y - 53)*(y + 1)*(y + 4)
Find p such that 3*p**5/2 - 21*p**4/2 + 21*p**3/2 + 69*p**2/2 - 12*p - 24 = 0.
-1, 1, 4
Find l, given that -4*l**3/7 + 136*l**2/7 - 1060*l/7 + 2400/7 = 0.
5, 24
Find f, given that 5*f**3 + 15*f**2 = 0.
-3, 0
Factor -x**2 + 1.
-(x - 1)*(x + 1)
Find k, given that k**4 - 20*k**3 - 45*k**2 + 20*k + 44 = 0.
-2, -1, 1, 22
Determine u, given that 2*u**4 - 18*u**3 + 36*u**2 + 8*u - 48 = 0.
-1, 2, 6
Factor u**4 + 99*u**3 + 97*u**2 - 99*u - 98.
(u - 1)*(u + 1)**2*(u + 98)
Determine t so that 338*t**2/3 + 416*t/3 + 128/3 = 0.
-8/13
Let 2*o**5 - 6*o**4 - 426*o**3 - 322*o**2 + 25872*o + 98784 = 0. Calculate o.
-7, 12
Factor -t**4 + 7*t**3/3 + 7*t**2/3 - t.
-t*(t - 3)*(t + 1)*(3*t - 1)/3
Suppose -2*o**3/3 - 12*o**2 + 2*o/3 + 12 = 0. What is o?
-18, -1, 1
Determine y, given that -y**4 - 5*y**3 + 13*y**2 - 7*y = 0.
-7, 0, 1
Factor -2*h**5/13 - 28*h**4/13 + 352*h**3/13.
-2*h**3*(h - 8)*(h + 22)/13
Factor 2*s**3/9 + 4558*s**2/9 + 4556*s/9.
2*s*(s + 1)*(s + 2278)/9
Determine k, given that k**5/7 - 4*k**4/7 - 2*k**3/7 + 12*k**2/7 + 9*k/7 = 0.
-1, 0, 3
Factor 3*m**2 + 1152*m + 1149.
3*(m + 1)*(m + 383)
Factor 5*d**2 - 170*d + 1125.
5*(d - 25)*(d - 9)
Factor 2*f**3/17 + 92*f**2/17 + 50*f - 5000/17.
2*(f - 4)*(f + 25)**2/17
Factor 2*k**2 - 112*k.
2*k*(k - 56)
Factor 2*j**2/9 + 170*j/9 + 316/3.
2*(j + 6)*(j + 79)/9
Factor -o**2/2 + 150*o - 11250.
-(o - 150)**2/2
Factor 2*o**2 - 78*o.
2*o*(o - 39)
Let 3*b**4/7 + 3*b**3/7 - 678*b**2/7 + 4128*b/7 - 3456/7 = 0. What is b?
-18, 1, 8
Let d**3/2 + 11*d**2 - 15*d/2 - 900 = 0. Calculate d.
-15, 8
Let -51*y**2/4 - 201*y/2 + 12 = 0. Calculate y.
-8, 2/17
Suppose 2*p**2/5 + 32*p + 3102/5 = 0. Calculate p.
-47, -33
Let j**3/3 - 544*j**2/3 - 547*j/3 + 1090/3 = 0. Calculate j.
-2, 1, 545
Find n, given that 2*n**5 - 6*n**4 + 4*n**3 = 0.
0, 1, 2
Factor n**4 - 18*n**3 + 29*n**2 + 48*n.
n*(n - 16)*(n - 3)*(n + 1)
Factor 2*v**3 - 6*v**2 + 6*v - 2.
2*(v - 1)**3
Suppose 28*y**4 - 272*y**3 - 444*y**2 + 512*y + 176 = 0. Calculate y.
-2, -2/7, 1, 11
Let 4*x**5 - 80*x**4 + 512*x**3 - 1024*x**2 = 0. What is x?
0, 4, 8
Determine i, given that -2*i**2/9 - 24*i + 218/9 = 0.
-109, 1
Find p such that 2*p**3/7 - 1524*p**2/7 + 291840*p/7 - 577600/7 = 0.
2, 380
Solve n**5/3 + 37*n**4 + 4106*n**3/3 + 50542*n**2/3 - 1369*n - 50653/3 = 0 for n.
-37, -1, 1
Factor -2*h**2/9 - 86*h/9 + 88/9.
-2*(h - 1)*(h + 44)/9
What is i in 4*i**3/7 - 44*i**2/7 + 4*i + 84 = 0?
-3, 7
Suppose 5*c**5 - 200*c**4 - 415*c**3 - 210*c**2 = 0. Calculate c.
-1, 0, 42
Suppose -4*k**5 + 12*k**4 - 16*k**2 = 0. Calculate k.
-1, 0, 2
Factor 2*h**2 + 30*h + 52.
2*(h + 2)*(h + 13)
Solve 2*i**2 + 70*i - 148 = 0.
-37, 2
Factor 4*v**3 - 304*v**2 + 1152*v.
4*v*(v - 72)*(v - 4)
Solve -2*u**4 - 34*u**3 + 78*u**2 + 34*u - 76 = 0.
-19, -1, 1, 2
Factor -l**3 - 19*l**2 - 35*l - 17.
-(l + 1)**2*(l + 17)
Factor -b**5 - 4*b**4 + 2*b**3 + 12*b**2 - 9*b.
-b*(b - 1)**2*(b + 3)**2
Factor o**4/2 - 19*o**3/2 - 141*o**2/2 - 225*o/2.
o*(o - 25)*(o + 3)**2/2
Determine i, given that -i**3/2 + 69*i**2 - 2448*i + 4624 = 0.
2, 68
Let 4*v**2/3 - 39*v + 29/3 = 0. Calculate v.
1/4, 29
Solve 7*p**3 + 5*p**2 - 16*p + 4 = 0 for p.
-2, 2/7, 1
What is a in -2*a**5 - 90*a**4 - 964*a**3 + 1148*a**2 + 966*a - 1058 = 0?
-23, -1, 1
Determine g, given that -2*g**3 - 36*g**2 - 162*g - 216 = 0.
-12, -3
Factor -5*r**2/4 + 2445*r/4 + 1225/2.
-5*(r - 490)*(r + 1)/4
Solve -4*d**3 + 204*d**2 - 2700*d + 2500 = 0 for d.
1, 25
Suppose -7*g**3/2 - 17*g**2/3 - 5*g/2 - 1/3 = 0. Calculate g.
-1, -1/3, -2/7
Find b, given that b**3/2 + 3*b**2/2 - 2*b = 0.
-4, 0, 1
Let 2*z**4/7 + 4*z**3/7 - 40*z**2/7 + 48*z/7 = 0. What is z?
-6, 0, 2
Find d such that -5*d**4 - 30*d**3 - 55*d**2 - 30*d = 0.
-3, -2, -1, 0
What is g in g**4/3 - 3*g**3 - 458*g**2/3 + 1728*g + 5632/3 = 0?
-22, -1, 16
Find x such that -x**3/2 - 33*x**2/2 - 144*x - 128 = 0.
-16, -1
Let -4*v**3 - 33*v**2/2 + 18*v + 5/2 = 0. Calculate v.
-5, -1/8, 1
Find y such that -2*y**4/3 + 56*y**3/9 - 18*y**2 + 56*y/3 - 40/9 = 0.
1/3, 2, 5
Find h, given that 4*h**2 - 472*h + 468 = 0.
1, 117
Find k such that 2*k**2 + 20*k + 50 = 0.
-5
Factor 4*z**5 - 932*z**4 - 5688*z**3 - 11440*z**2 - 7648*z.
4*z*(z - 239)*(z + 2)**3
Determine y, given that -3*y**3 + 20*y**2/3 - 13*y/3 + 2/3 = 0.
2/9, 1
Factor -2*u**4/13 + 54*u**3/13 - 102*u**2/13 + 50*u/13.
-2*u*(u - 25)*(u - 1)**2/13
What is h in -15*h**4 - 310*h**3 - 1185*h**2 - 1010*h + 480 = 0?
-16, -3, -2, 1/3
Let 2*k**5 - 44*k**4 - 144*k**3 - 148*k**2 - 50*k = 0. Calculate k.
-1, 0, 25
Factor 3*j**4 - 8*j**3/3 - 46*j**2/3 - 32*j/3 - 1.
(j - 3)*(j + 1)**2*(9*j + 1)/3
Suppose -16*g**3/3 - 116*g**2/3 - 124*g/3 - 8 = 0. Calculate g.
-6, -1, -1/4
Find r, given that 2*r**4/7 - 2*r**3 + 4*r**2/7 + 8*r - 48/7 = 0.
-2, 1, 2, 6
Find z such that -4*z**2 - 64*z - 256 = 0.
-8
Factor -2*r**5/5 + 68*r**4/5.
-2*r**4*(r - 34)/5
Suppose a**4/