66*m/5 - 92/5.
2*(m - 46)*(m + 1)**4/5
Let b**2 - 22*b + 121 = 0. What is b?
11
Factor m**2/3 - 23*m - 150.
(m - 75)*(m + 6)/3
Solve -12*c**5/5 + 4*c**4 + 112*c**3/5 - 128*c**2/5 - 256*c/5 + 192/5 = 0 for c.
-2, 2/3, 2, 3
Factor 3*t**4/2 - 21*t**3/2 + 3*t**2 + 60*t.
3*t*(t - 5)*(t - 4)*(t + 2)/2
Suppose 14*x**3 - 1614*x**2/5 + 5412*x/5 - 304/5 = 0. Calculate x.
2/35, 4, 19
Find o, given that o**3/7 + 10*o**2/7 + 19*o/7 - 30/7 = 0.
-6, -5, 1
Let -3*g**3 + 1383*g**2 - 2754*g = 0. Calculate g.
0, 2, 459
Determine q so that 5*q**4 + 25*q**3 - 15*q**2 - 85*q - 50 = 0.
-5, -1, 2
Solve 5*o**2 - 7840*o + 7835 = 0.
1, 1567
Factor 12*f**3 - 56*f**2 - 112*f + 96.
4*(f - 6)*(f + 2)*(3*f - 2)
Find h such that -15*h**2 + 265*h - 400 = 0.
5/3, 16
Factor 2*d**2/7 + 64*d/7 - 456/7.
2*(d - 6)*(d + 38)/7
Factor -2*l**2/9 - 5608*l/9 - 5606/9.
-2*(l + 1)*(l + 2803)/9
Let -50*x**3/3 + 2690*x**2 - 1074*x + 322/3 = 0. Calculate x.
1/5, 161
What is g in -61*g**4/2 - 553*g**3/2 - 750*g**2 - 658*g - 40 = 0?
-5, -2, -4/61
Find t, given that 3*t**5 + 21*t**4 - 15*t**3 - 213*t**2 + 120*t + 300 = 0.
-5, -1, 2
Suppose 2*z**5 - 5*z**4 - 60*z**3 + 95*z**2 + 88*z - 60 = 0. What is z?
-5, -1, 1/2, 2, 6
Suppose 5*t**3 - 55*t**2 - 370*t - 480 = 0. What is t?
-3, -2, 16
Factor -900*t**4 - 5460*t**3 - 4861*t**2 - 306*t - 5.
-(t + 1)*(t + 5)*(30*t + 1)**2
Solve -2*a**2 - 84*a - 882 = 0.
-21
Solve -3*l**3/5 - 27*l**2/5 + 108*l/5 = 0.
-12, 0, 3
Factor 3*q**3 + 429*q**2 + 5565*q + 18963.
3*(q + 7)**2*(q + 129)
Factor 2*v**3 + 96*v**2 - 3510*v + 25012.
2*(v - 13)**2*(v + 74)
Suppose 2*l**5 + 16*l**4 - 20*l**3 - 16*l**2 + 18*l = 0. Calculate l.
-9, -1, 0, 1
Solve 2*t**3/9 + 2*t**2 + 40*t/9 = 0.
-5, -4, 0
Factor -2*z**2 + z/3 + 22/3.
-(z - 2)*(6*z + 11)/3
Factor 4*s**3 - 1032*s**2 + 1028*s.
4*s*(s - 257)*(s - 1)
Determine h so that -2*h**5/5 - 944*h**4/5 - 110444*h**3/5 + 223728*h**2/5 - 112338*h/5 = 0.
-237, 0, 1
What is v in 20*v**4 - 64*v**3 + 276*v**2/5 - 72*v/5 = 0?
0, 3/5, 2
Solve -2*k**2/11 + 68*k/11 - 240/11 = 0.
4, 30
Suppose -10*k**5/7 - 58*k**4/7 + 108*k**3/7 + 124*k**2/7 - 290*k/7 + 18 = 0. What is k?
-7, -9/5, 1
Solve -15*q**5 - 91*q**4/3 + 133*q**3/3 + 61*q**2 - 176*q/3 - 4/3 = 0.
-2, -1/45, 1
Suppose n**5 + 10*n**4 - 27*n**3 - 304*n**2 + 320*n = 0. Calculate n.
-8, 0, 1, 5
What is v in 4*v**2 - 16*v - 48 = 0?
-2, 6
Factor 5*y**4 + 15*y**3.
5*y**3*(y + 3)
Factor -5*f**3 + 35*f**2 + 40*f.
-5*f*(f - 8)*(f + 1)
Determine j, given that -2*j**2/9 - 512*j/9 - 32768/9 = 0.
-128
Factor 3*h**5 + 12*h**4 - 81*h**3 - 486*h**2 - 648*h.
3*h*(h - 6)*(h + 3)**2*(h + 4)
Let -3*q**4 - 27*q**3 - 60*q**2 - 36*q = 0. What is q?
-6, -2, -1, 0
Suppose a**4/2 - 3*a**2/2 + a = 0. What is a?
-2, 0, 1
Let -i**5/3 - 1060*i**4/3 + 4250*i**3/3 - 6380*i**2/3 + 4255*i/3 - 1064/3 = 0. Calculate i.
-1064, 1
Factor -2*a**2 + 104*a - 1352.
-2*(a - 26)**2
Solve -y**5/2 + 3*y**4 - 5*y**3 + 11*y/2 - 3 = 0.
-1, 1, 2, 3
Suppose -2*n**3/13 + 6712*n**2/13 - 5631368*n/13 = 0. Calculate n.
0, 1678
Let 5*f**2/2 - 351*f/4 + 35/4 = 0. What is f?
1/10, 35
Solve 98*m**4/5 - 40*m**3 - 6264*m**2/5 - 15424*m/5 + 128 = 0 for m.
-4, 2/49, 10
Factor 20*u**4 + 92*u**3 - 540*u**2 - 2300*u + 1000.
4*(u - 5)*(u + 5)**2*(5*u - 2)
Find q such that q**5/2 + 531*q**4/2 + 35640*q**3 + 104542*q**2 - 1056*q - 139392 = 0.
-264, -2, 1
Factor z**3/2 + 80*z**2 + 6557*z/2 + 6241.
(z + 2)*(z + 79)**2/2
Suppose -2*p**4 - 68*p**3 + 462*p**2 - 712*p + 320 = 0. Calculate p.
-40, 1, 4
Solve -4*w**3 + 60*w**2 - 216*w + 160 = 0 for w.
1, 4, 10
Find y, given that 45*y**3 - 80*y**2 - 20*y = 0.
-2/9, 0, 2
Factor -10*a**4/3 - 196*a**3/15 - 184*a**2/15 + 16*a/15.
-2*a*(a + 2)**2*(25*a - 2)/15
Let -20*v**3 + 55*v**2 - 25*v - 10 = 0. What is v?
-1/4, 1, 2
Find r, given that -5*r**4 - 300*r**3 - 4790*r**2 - 8700*r - 4205 = 0.
-29, -1
Solve -2*k**4 - 34*k**3 - 204*k**2 - 504*k - 432 = 0.
-6, -3, -2
Let -9*z**5/4 + 21*z**4/4 + 549*z**3/4 + 1299*z**2/4 + 270*z + 75 = 0. What is z?
-5, -1, -2/3, 10
Determine c so that -c**3/4 + 4*c**2 + c/4 - 4 = 0.
-1, 1, 16
Determine c so that 98*c**4 + 378*c**3 + 270*c**2 + 54*c = 0.
-3, -3/7, 0
Factor 5*b**4 + 190*b**3 + 1605*b**2 + 3060*b - 4860.
5*(b - 1)*(b + 6)**2*(b + 27)
Factor 13*y**3/4 - 19*y**2/2 + 23*y/4 + 1/2.
(y - 2)*(y - 1)*(13*y + 1)/4
Solve -5*g**5 + 315*g**4 - 5115*g**3 + 4805*g**2 = 0.
0, 1, 31
Let 2*j**2/7 - 12*j/7 + 18/7 = 0. Calculate j.
3
Determine x, given that -4*x**4/9 - 68*x**3/3 - 196*x**2/9 + 68*x/3 + 200/9 = 0.
-50, -1, 1
Factor 4*m**5 - 552*m**4 + 2160*m**3 - 2144*m**2.
4*m**2*(m - 134)*(m - 2)**2
Factor k**3/4 + k**2/4 - 5*k/4 + 3/4.
(k - 1)**2*(k + 3)/4
Factor -x**2/4 + 131*x/4 - 819/2.
-(x - 117)*(x - 14)/4
Find h such that 2*h**3/9 - 16*h**2/9 + 34*h/9 - 20/9 = 0.
1, 2, 5
Suppose -v**4/4 + 23*v**3/2 - 239*v**2/4 - 23*v/2 + 60 = 0. Calculate v.
-1, 1, 6, 40
Solve -2*h**3/9 - 2786*h**2/9 + 2*h/9 + 2786/9 = 0.
-1393, -1, 1
Solve 2*o**2/11 + 8572*o/11 + 9184898/11 = 0.
-2143
Factor -3*h**3 - 3*h**2 + 12*h + 12.
-3*(h - 2)*(h + 1)*(h + 2)
Suppose 2*s**5/13 - 8*s**4/13 + 2*s**3/13 + 20*s**2/13 - 8*s/13 - 16/13 = 0. Calculate s.
-1, 2
Factor 2*x**4/5 - 44*x**3/5 + 38*x**2/5 + 84*x/5.
2*x*(x - 21)*(x - 2)*(x + 1)/5
Find r such that 2*r**4/5 - 16*r**3/5 + 44*r**2/5 - 48*r/5 + 18/5 = 0.
1, 3
Suppose 3*c**4/2 - 135*c**3/2 + 1443*c**2/2 + 1863*c/2 - 1587 = 0. What is c?
-2, 1, 23
Solve 5*n**5 - 905*n**4 + 4415*n**3 - 2595*n**2 - 7920*n = 0.
-1, 0, 3, 176
Factor j**3/5 - 37*j**2/5 - 78*j/5.
j*(j - 39)*(j + 2)/5
Factor -w**5 - w**4 + 24*w**3 + 88*w**2 + 112*w + 48.
-(w - 6)*(w + 1)*(w + 2)**3
Factor -4*h**3/5 - 44*h**2/5 - 92*h/5 + 28.
-4*(h - 1)*(h + 5)*(h + 7)/5
Factor -5*w**2 - 2760*w - 380880.
-5*(w + 276)**2
Determine d so that d**2/5 - 678*d + 3389/5 = 0.
1, 3389
Factor -2*d**2/3 + 134*d/3 - 260/3.
-2*(d - 65)*(d - 2)/3
Determine w, given that 2*w**3 + 22*w**2 - 4186*w + 60306 = 0.
-57, 23
Factor h**3/2 + 87*h**2/2 + 924*h - 968.
(h - 1)*(h + 44)**2/2
Suppose 5*b**3 - 20*b**2 - 20*b + 80 = 0. Calculate b.
-2, 2, 4
Solve -c**2/2 - 47*c - 93/2 = 0 for c.
-93, -1
Factor -n**2 - 42*n + 43.
-(n - 1)*(n + 43)
Solve 2*w**4/13 - 980*w**3/13 - 984*w**2/13 + 980*w/13 + 982/13 = 0.
-1, 1, 491
Factor 5*f**4 - 20*f**3 - 5*f**2 + 20*f.
5*f*(f - 4)*(f - 1)*(f + 1)
Factor 4*x**5 - 8*x**4 - 100*x**3 + 200*x**2.
4*x**2*(x - 5)*(x - 2)*(x + 5)
Solve 3*n**3 - 60*n**2 + 279*n - 378 = 0.
3, 14
Factor 2*k**2/11 - 2142*k/11.
2*k*(k - 1071)/11
Find n such that 2*n**4/5 - 36*n**3/5 - 134*n**2/5 + 168*n/5 = 0.
-4, 0, 1, 21
Let -3*w**5 + 9*w**4 + 6*w**3 - 18*w**2 - 3*w + 9 = 0. Calculate w.
-1, 1, 3
Find l such that 5*l**2 + 20*l + 15 = 0.
-3, -1
Factor 5*k**2 + 550*k + 15125.
5*(k + 55)**2
Factor -4*n**3/7 - 16*n**2/7 - 13*n/7 - 3/7.
-(n + 3)*(2*n + 1)**2/7
Factor -m**4/2 - 103*m**3/2 - 151*m**2 - 100*m.
-m*(m + 1)*(m + 2)*(m + 100)/2
Factor 14*r**3 - 386*r**2 + 580*r - 208.
2*(r - 26)*(r - 1)*(7*r - 4)
Factor -2*j**2/7 + 18*j/7 + 44/7.
-2*(j - 11)*(j + 2)/7
Find f such that -2*f**4/7 - 10*f**3 - 64*f**2/7 + 136*f/7 = 0.
-34, -2, 0, 1
Factor 5*v**2 - 25*v - 250.
5*(v - 10)*(v + 5)
Find d such that 10*d**5/7 - 484*d**4/7 - 318*d**3/7 + 1184*d**2/7 - 56*d = 0.
-2, 0, 2/5, 1, 49
Factor -2*q**2/11 - 12*q - 198.
-2*(q + 33)**2/11
Factor -2*t**2/7 - 396*t/7 - 1552/7.
-2*(t + 4)*(t + 194)/7
Find f such that -6*f**4/11 - 4*f**3/11 + 18*f**2/11 + 24*f/11 + 8/11 = 0.
-1, -2/3, 2
Factor w**2/3 + 406*w + 123627.
(w + 609)**2/3
Factor -u**5/4 - 4*u**4 + 17*u**3/4.
-u**3*(u - 1)*(u + 17)/4
Suppose 2*s**3/7 - 24*s**2/7 + 46*s/7 + 72/7 = 0. What is s?
-1, 4, 9
Let 32*n**5 + 48*n**4 + 2*n**3 - 12*n**2 + 2*n = 0. Calculate n.
-1, 0, 1/4
Let -2*m**5/7 + 20*m**4/7 - 44*m**3/7 - 8*m**2 + 110*m/7 + 100/7 = 0. What is m?
-1, 2, 5
Factor -g**5 + g**4 + 2*g**3.
-g**3*(g - 2)*(g + 1)
Factor 5*h**2/2 - 51*h/4 + 11.
(h - 4)*(10*h - 11)/4
Find o, given that o**4 - 46*o**3 + 249*o**2 - 364*o + 160 = 0.
1, 4, 40
Let -3*f**4 - 56*f**3 - 279*f**2 - 162*f = 0. Calculate f.
-9, -2/3, 0
What is j in -5*j**2 - 227*j - 90 = 0?
-45, -2/5
Find g such that 24*g**3/7 + 2*g**2/7 = 0.
-1/12, 0
Suppose 3*a**5/5 - 108*a**4/5 + 537*a**3/5 + 17232*a**2/5 - 177408*a/5 + 159744/5 = 0. What is a?
-13, 1, 16
Factor -5*c**4 - 45*c**3 + 415*c**2 + 945*c + 490.
-5*(c - 7)*(c + 1