*2/5 + 338*l/5 + 336/5 = 0 for l.
-168, -1
Factor 5*f**2/4 - 2255*f/2 + 1017005/4.
5*(f - 451)**2/4
Determine r, given that 2*r**3/3 + 2*r**2/3 - 2*r/3 - 2/3 = 0.
-1, 1
Let -4*i**2/5 - 48*i/5 - 44/5 = 0. Calculate i.
-11, -1
Suppose 38*d**5 - 1032*d**4 + 8446*d**3 - 19548*d**2 + 13824*d - 1728 = 0. What is d?
3/19, 1, 2, 12
Suppose 3*j**2 + 222*j - 225 = 0. What is j?
-75, 1
Determine u so that -u**4/3 + 18*u**3 - 315*u**2 + 1800*u = 0.
0, 15, 24
Suppose -6*f**3/7 - 1450*f**2/7 - 87362*f/7 + 29282/7 = 0. Calculate f.
-121, 1/3
Determine s, given that 2*s**2/9 + 44*s/3 + 42 = 0.
-63, -3
Suppose -196*j**4/9 - 2408*j**3/9 - 7696*j**2/9 - 544*j/3 + 128 = 0. Calculate j.
-6, -4/7, 2/7
Factor -4*d**3 + 60*d**2 - 216*d + 160.
-4*(d - 10)*(d - 4)*(d - 1)
Find a such that 2*a**5/5 - 2*a**4 + 2*a**3/5 + 42*a**2/5 - 36*a/5 = 0.
-2, 0, 1, 3
Factor -t**2/6 - 17*t/6 + 55/3.
-(t - 5)*(t + 22)/6
What is j in -18*j**5 - 38*j**4 + 14*j**3 + 38*j**2 + 4*j = 0?
-2, -1, -1/9, 0, 1
Factor 5*f**3 + 3770*f**2 + 3765*f.
5*f*(f + 1)*(f + 753)
Factor 4*x**3 - 121*x**2 - 226*x + 64.
(x - 32)*(x + 2)*(4*x - 1)
Suppose -4*z**4/5 - 32*z**3/5 - 84*z**2/5 - 88*z/5 - 32/5 = 0. Calculate z.
-4, -2, -1
Suppose r**5/7 + 40*r**4/7 - 277*r**3/7 - 40*r**2/7 + 276*r/7 = 0. Calculate r.
-46, -1, 0, 1, 6
Find g such that -g**4 + 11*g**3 - 39*g**2 + 45*g = 0.
0, 3, 5
Factor c**3 - 12*c**2 - 27*c - 14.
(c - 14)*(c + 1)**2
Factor 7*u**3 + 187*u**2 + 128*u - 52.
(u + 1)*(u + 26)*(7*u - 2)
Find o such that 2*o**5/11 + 278*o**4/11 - 6*o**3/11 - 838*o**2/11 - 556*o/11 = 0.
-139, -1, 0, 2
Suppose -z**3 + 15*z**2 - 54*z + 40 = 0. What is z?
1, 4, 10
Determine l, given that -4*l**5 + 82*l**4 - 498*l**3 + 830*l**2 + 550*l = 0.
-1/2, 0, 5, 11
Factor -16*n**2 - 178*n + 420.
-2*(n - 2)*(8*n + 105)
Find o such that 4*o**2 - 152*o + 1300 = 0.
13, 25
Suppose -g**4/3 + 8*g**3/3 + 3*g**2 = 0. What is g?
-1, 0, 9
What is a in 2*a**4 + 36*a**3 + 160*a**2 - 36*a - 162 = 0?
-9, -1, 1
Determine a so that 2*a**2 - 162*a - 164 = 0.
-1, 82
Factor 5*y**2/4 + 205*y + 8405.
5*(y + 82)**2/4
Solve -j**2/3 - 88*j/3 - 560 = 0 for j.
-60, -28
Find g such that 3*g**3 - 36*g**2 = 0.
0, 12
Factor -26*m**2/7 + 108*m/7 - 16/7.
-2*(m - 4)*(13*m - 2)/7
Factor 2*s**4/19 - 32*s**3/19 - 72*s**2/19.
2*s**2*(s - 18)*(s + 2)/19
Factor -2*n**3 + 12*n**2 - 10*n.
-2*n*(n - 5)*(n - 1)
Solve -3*p**5 - 3*p**4 + 12*p**3 + 12*p**2 = 0 for p.
-2, -1, 0, 2
Find h, given that -h**2/9 - 10*h/9 = 0.
-10, 0
Find u such that -12*u**4 - 12*u**3 - 3*u**2 = 0.
-1/2, 0
Suppose -z**4 + 88*z**3 - 738*z**2 + 2160*z - 2133 = 0. Calculate z.
3, 79
Factor -3*a**3 - 378*a**2 - 15876*a - 222264.
-3*(a + 42)**3
Factor 2*h**2/11 + 24*h.
2*h*(h + 132)/11
Suppose -a**5/3 + 4*a**4 - 20*a**3/3 = 0. What is a?
0, 2, 10
Suppose g**2/6 + 59*g/2 - 183 = 0. What is g?
-183, 6
What is k in 3*k**4/5 - 36*k**3/5 - 9*k**2/5 + 114*k/5 - 72/5 = 0?
-2, 1, 12
Let 5*i**4 - 50*i**3 + 105*i**2 + 20*i - 140 = 0. What is i?
-1, 2, 7
Factor y**3/3 + 1999*y**2/3 + 998000*y/3 - 1000000/3.
(y - 1)*(y + 1000)**2/3
Factor -v**5 + 5*v**4 - 6*v**3 - 2*v**2 + 7*v - 3.
-(v - 3)*(v - 1)**3*(v + 1)
Factor 35*i**2 - 270*i - 80.
5*(i - 8)*(7*i + 2)
Determine p so that -p**5 + 2*p**4 + 6*p**3 - 4*p**2 - 13*p - 6 = 0.
-1, 2, 3
Find q such that 4*q**2 + 136*q - 10080 = 0.
-70, 36
Factor 10*i**3 + 9275*i**2 + 13895*i + 4630.
5*(i + 1)*(i + 926)*(2*i + 1)
Factor -3*p**5 + 9*p**4 - 9*p**3 + 3*p**2.
-3*p**2*(p - 1)**3
Let 7*b**5/4 + b**4/2 - 21*b**3/4 - 5*b**2 - b = 0. Calculate b.
-1, -2/7, 0, 2
Find s such that s**2/5 - 212*s/5 + 11236/5 = 0.
106
Suppose -2*w**3/5 + 64*w**2/5 + 488*w/5 - 1216/5 = 0. What is w?
-8, 2, 38
Let 18*k**4 + 152*k**3 + 3176*k**2/9 + 1216*k/9 + 128/9 = 0. What is k?
-4, -2/9
Let t**2/6 - 2057*t/6 - 343 = 0. What is t?
-1, 2058
Factor -5*l**3 + 75*l**2 - 295*l + 225.
-5*(l - 9)*(l - 5)*(l - 1)
Factor -3*o**4 + 246*o**3 + 1557*o**2 + 2376*o.
-3*o*(o - 88)*(o + 3)**2
Determine t so that -t**2/5 + 91*t/5 = 0.
0, 91
Factor -2*m**2 - 42*m + 44.
-2*(m - 1)*(m + 22)
What is v in 2*v**2 + 20*v + 42 = 0?
-7, -3
Suppose 8*n**5 + 84*n**4 + 176*n**3 - 156*n**2 - 112*n = 0. What is n?
-7, -4, -1/2, 0, 1
Factor 2*r**3/3 - 448*r**2/3 + 8510*r - 16428.
2*(r - 111)**2*(r - 2)/3
Factor -2*n**3 - 1516*n**2 + 3038*n - 1520.
-2*(n - 1)**2*(n + 760)
Solve -6*y**5/5 - 36*y**4/5 - 6*y**3 + 144*y**2/5 + 216*y/5 = 0 for y.
-3, -2, 0, 2
Find n such that 2*n**2 + 594*n + 592 = 0.
-296, -1
Factor 278*a**3/9 + 106*a**2/3 + 40*a/9.
2*a*(a + 1)*(139*a + 20)/9
Suppose -4*u**3 - 1171*u**2/3 + 164*u + 196/3 = 0. Calculate u.
-98, -1/4, 2/3
Factor 3*i**3/5 + 21*i**2/5 - 3*i - 45.
3*(i - 3)*(i + 5)**2/5
Factor x**5/10 + x**4/5 - 39*x**3/10 + 36*x**2/5.
x**2*(x - 3)**2*(x + 8)/10
Factor -l**2 - 5*l/7 + 2/7.
-(l + 1)*(7*l - 2)/7
Factor 454276*v**3 - 897768*v**2 - 21504*v - 128.
4*(v - 2)*(337*v + 4)**2
Suppose -2*w**5/7 + 6*w**4/7 - 2*w**3/7 - 6*w**2/7 + 4*w/7 = 0. Calculate w.
-1, 0, 1, 2
Suppose -m**2 + 48*m - 47 = 0. Calculate m.
1, 47
Let 3*n**4 - 99*n**3/5 + 63*n**2/5 + 267*n/5 + 18 = 0. Calculate n.
-1, -2/5, 3, 5
Solve 4*y**5 - 84*y**3 + 80*y**2 = 0 for y.
-5, 0, 1, 4
What is t in 2*t**2/19 + 7314*t/19 = 0?
-3657, 0
Suppose -22*f**4 - 128*f**3 - 174*f**2 + 36*f = 0. What is f?
-3, 0, 2/11
Suppose -2*c**2/7 + 472*c - 194936 = 0. What is c?
826
Factor 3*b**4 + 123*b**3 + 1425*b**2 + 3249*b.
3*b*(b + 3)*(b + 19)**2
Factor -3042*i**4 - 988*i**3 - 232*i**2/3 - 16*i/9.
-2*i*(9*i + 2)*(39*i + 2)**2/9
Factor 2*c**3/17 - 150*c**2/17 + 2886*c/17 - 2738/17.
2*(c - 37)**2*(c - 1)/17
Factor 4*u**4/5 - 28*u**3/5 - 36*u**2/5 + 28*u/5 + 32/5.
4*(u - 8)*(u - 1)*(u + 1)**2/5
Factor -2*j**4 - 22*j**3 - 74*j**2 - 90*j - 36.
-2*(j + 1)**2*(j + 3)*(j + 6)
Factor -6*j**2 - 16*j/7 + 8/7.
-2*(3*j + 2)*(7*j - 2)/7
Find r such that 6*r**3 - 64*r**2 + 200*r - 192 = 0.
2, 8/3, 6
Factor -h**3/5 + 9*h**2/5 - 24*h/5 + 16/5.
-(h - 4)**2*(h - 1)/5
Solve -5*r**2 + 9290*r - 4315205 = 0.
929
Let 10*d**5/7 - 36*d**4/7 - 106*d**3/7 + 324*d**2/7 + 144*d/7 = 0. What is d?
-3, -2/5, 0, 3, 4
Let -y**2 + 22*y + 135 = 0. Calculate y.
-5, 27
Factor 4*k**5 - 30*k**4 + 56*k**3 - 28*k**2 - 12*k + 10.
2*(k - 5)*(k - 1)**3*(2*k + 1)
Determine k so that -8*k**3/3 - 15058*k**2/3 - 7087612*k/3 - 1770962/3 = 0.
-941, -1/4
Determine t, given that -4*t**2 + 432*t = 0.
0, 108
Let z**3/2 + 75*z**2/2 + 1443*z/2 + 1369/2 = 0. What is z?
-37, -1
Suppose -5*p**3/2 - 65*p**2/6 + 25*p/3 = 0. Calculate p.
-5, 0, 2/3
Factor 3*b**2 + 99*b + 186.
3*(b + 2)*(b + 31)
Solve s**2/2 - 16*s = 0.
0, 32
Find v such that 2*v**5/11 + 8*v**4/11 - 94*v**3/11 + 236*v**2/11 - 232*v/11 + 80/11 = 0.
-10, 1, 2
Solve 2*p**3/5 - 24*p**2/5 + 82*p/5 - 12 = 0.
1, 5, 6
Factor 2*o**4/7 - 6*o**3/7 + 6*o**2/7 - 2*o/7.
2*o*(o - 1)**3/7
Suppose -4*g**2 + 4724*g + 4728 = 0. Calculate g.
-1, 1182
Factor 3*o**2 + 2436*o + 2433.
3*(o + 1)*(o + 811)
Find h, given that 2*h**3 + 382*h**2 - 778*h - 1158 = 0.
-193, -1, 3
Suppose -2*z**4 + 22*z**3 - 40*z**2 - 64*z = 0. What is z?
-1, 0, 4, 8
Factor 2*q**2 + 206*q - 636.
2*(q - 3)*(q + 106)
Factor -2*n**2 - 14*n + 36.
-2*(n - 2)*(n + 9)
Suppose d**4/4 - 27*d**3/4 + 55*d**2/2 + 84*d = 0. What is d?
-2, 0, 8, 21
Determine z so that -z**3/2 - 3*z**2 = 0.
-6, 0
Let -5*h**2 - 115*h + 870 = 0. What is h?
-29, 6
Find k such that 3*k**4 - 18*k**3 + 15*k**2 = 0.
0, 1, 5
Determine o, given that 2*o**4/5 + 8*o**3 + 156*o**2/5 - 88*o + 242/5 = 0.
-11, 1
Factor -o**4 - 28*o**3 + 123*o**2 - 158*o + 64.
-(o - 2)*(o - 1)**2*(o + 32)
Factor -2*l**4/7 - 8*l**3/7 - 10*l**2/7 - 4*l/7.
-2*l*(l + 1)**2*(l + 2)/7
Suppose -2*y**3/3 - 26*y**2/3 - 38*y/3 + 22 = 0. Calculate y.
-11, -3, 1
Solve -k**4/4 - 3*k**3/4 - k**2/2 = 0 for k.
-2, -1, 0
Suppose g**2/2 + 101*g/2 = 0. What is g?
-101, 0
Factor 4*u**3 + 520*u**2 + 2028*u + 1512.
4*(u + 1)*(u + 3)*(u + 126)
Find k such that -5*k**2/6 - 20*k - 110/3 = 0.
-22, -2
Factor p**4/3 + 11*p**3/3 + 9*p**2 + 25*p/3 + 8/3.
(p + 1)**3*(p + 8)/3
Suppose -2*b**3/9 + 280*b**2/3 = 0. What is b?
0, 420
Factor 2*n**3/5 - 148*n**2/5.
2*n**2*(n - 74)/5
Suppose v**2/5 - 33*v/5 + 32/5 = 0. Calculate v.
1, 32
Solve 4*f**5/3 + 145*f**4 + 3993*f**3 + 7778*f**2/3 - 8676*f + 1944 = 0.
-54, -2, 1/4, 1
Factor -7*t**5 - 3*t**4 + 31*t**3 - 5*t**2 - 36*t + 20.
-(t - 