= 0.
-2, 3, 4
Let -j**2/2 - 29*j/2 + 15 = 0. Calculate j.
-30, 1
Find n such that 5*n**2 + 2630*n - 7935 = 0.
-529, 3
What is c in -2*c**5 - 12*c**4 - 18*c**3 - 8*c**2 = 0?
-4, -1, 0
Factor -2*h**2 - 140*h - 2450.
-2*(h + 35)**2
Determine u so that 4*u**3 + 236*u**2 + 3596*u + 3364 = 0.
-29, -1
Suppose -w**3 + 6*w**2 + 25*w + 18 = 0. What is w?
-2, -1, 9
Find y such that 4*y**3 - 540*y**2 + 11232*y - 63936 = 0.
12, 111
What is g in 18*g**2 - 520*g - 58 = 0?
-1/9, 29
Factor -5*c**4 + 300*c**3 - 1930*c**2 + 4020*c - 2385.
-5*(c - 53)*(c - 3)**2*(c - 1)
Factor -2*y**3/15 + 46*y**2/5 + 428*y/15 + 96/5.
-2*(y - 72)*(y + 1)*(y + 2)/15
Factor 14*w**4/19 - 6*w**3/19 - 20*w**2/19.
2*w**2*(w + 1)*(7*w - 10)/19
Determine h, given that 4*h**5 + 684*h**4 - 4960*h**3 + 4400*h**2 + 22656*h - 22784 = 0.
-178, -2, 1, 4
Solve -5*w**4 + 105*w**3 - 370*w**2 - 1920*w - 1440 = 0.
-2, -1, 12
Find t such that 5*t**2 - 550*t + 15125 = 0.
55
Factor 2*k**4/5 - 8*k**3/5 - 2*k**2/5 + 8*k/5.
2*k*(k - 4)*(k - 1)*(k + 1)/5
Factor 3*o**4/4 - 12*o**3 + 63*o**2/2 - 30*o + 39/4.
3*(o - 13)*(o - 1)**3/4
Suppose v**5 + 102*v**4 + 2977*v**3 + 19176*v**2 + 35344*v = 0. Calculate v.
-47, -4, 0
Determine v so that v**3/6 + 58*v**2/3 + 3245*v/6 - 3481/3 = 0.
-59, 2
Let 2*j**5 - 10*j**4 - 146*j**3 - 254*j**2 - 120*j = 0. What is j?
-5, -1, 0, 12
Factor 4*r**3/3 - 28*r**2 + 24*r + 160/3.
4*(r - 20)*(r - 2)*(r + 1)/3
What is q in q**2/5 - 33*q/5 + 32/5 = 0?
1, 32
Factor n**4 + 2*n**3 - 7*n**2 - 20*n - 12.
(n - 3)*(n + 1)*(n + 2)**2
Let 85*l**3/9 + 83*l**2/9 - 2*l/9 = 0. Calculate l.
-1, 0, 2/85
Let 2*k**2 - 2302*k + 2300 = 0. Calculate k.
1, 1150
Suppose -20*w**5 - 576*w**4/7 + 652*w**3/7 + 144*w**2/7 - 80*w/7 = 0. Calculate w.
-5, -2/5, 0, 2/7, 1
Factor 5*d**4 - 120*d**3 + 810*d**2 - 880*d - 1815.
5*(d - 11)**2*(d - 3)*(d + 1)
Factor 5*o**5 - 140*o**4 + 375*o**3.
5*o**3*(o - 25)*(o - 3)
Solve 2*t**3 + 180*t**2 + 694*t + 516 = 0 for t.
-86, -3, -1
Find p, given that -24*p**5 - 51*p**4 - 51*p**3/4 + 111*p**2/4 + 39*p/4 - 15/4 = 0.
-1, 1/4, 5/8
Factor 2*m**2 + 142*m + 1008.
2*(m + 8)*(m + 63)
Let 3*u**5 + 51*u**4 - 57*u**3 - 51*u**2 + 54*u = 0. Calculate u.
-18, -1, 0, 1
Solve -g**3 + 3*g - 2 = 0.
-2, 1
What is i in 2*i**2/9 + 4*i/9 - 70/9 = 0?
-7, 5
Factor -2*l**2/7 - 192*l/7 - 4608/7.
-2*(l + 48)**2/7
Factor -4*m**3 - 524*m**2.
-4*m**2*(m + 131)
Let -4*l**3 - 76*l**2 - 72*l = 0. Calculate l.
-18, -1, 0
Factor -2*g**2/5 + 1734*g/5.
-2*g*(g - 867)/5
Factor 3*q**3 - 33*q**2 + 78*q - 48.
3*(q - 8)*(q - 2)*(q - 1)
Factor 15*h**3 - 24*h**2 + 3*h + 6.
3*(h - 1)**2*(5*h + 2)
Determine b so that -b**2 + 133*b/5 + 54/5 = 0.
-2/5, 27
Solve -4*h**4 - 12*h**3 - 12*h**2 - 4*h = 0 for h.
-1, 0
Let 3*n**2/4 - 141*n/2 + 279/4 = 0. Calculate n.
1, 93
Determine g so that 3*g**5 - 12*g**4 + 18*g**3 - 12*g**2 + 3*g = 0.
0, 1
Factor -m**4 - 2*m**3 + 8*m**2.
-m**2*(m - 2)*(m + 4)
Solve 5*g**2 + 1880*g = 0 for g.
-376, 0
Factor 10*d**3/13 + 36*d**2/13 - 136*d/13 + 48/13.
2*(d - 2)*(d + 6)*(5*d - 2)/13
Let 5*s**5 + 75*s**4 + 315*s**3 + 405*s**2 = 0. What is s?
-9, -3, 0
Let 2*d**3/5 + 2*d**2/5 - 42*d/5 - 18 = 0. Calculate d.
-3, 5
Factor f**3 + 10*f**2 - 53*f + 42.
(f - 3)*(f - 1)*(f + 14)
Factor -4*x**5 - 32*x**4 + 80*x**3 - 8*x**2 - 76*x + 40.
-4*(x - 1)**3*(x + 1)*(x + 10)
Find y such that -5*y**3/4 - 2095*y**2/4 - 55640*y - 162240 = 0.
-208, -3
Solve -12*t**3 - 1341*t**2 + 1692*t - 339 = 0 for t.
-113, 1/4, 1
What is l in -2*l**2/5 - 9*l/5 + 1 = 0?
-5, 1/2
What is o in 2*o**2 - 134*o/5 + 52/5 = 0?
2/5, 13
Factor -3*n**4/4 - 249*n**3/4 - 243*n**2/2.
-3*n**2*(n + 2)*(n + 81)/4
Factor -l**5/4 + 3*l**4/2 - 13*l**3/4 + 3*l**2 - l.
-l*(l - 2)**2*(l - 1)**2/4
Determine a so that -10*a**4/7 + 96*a**3/7 + 50*a**2/7 - 96*a/7 - 40/7 = 0.
-1, -2/5, 1, 10
Suppose -2*m**5/7 + 116*m**4/7 - 32*m**3 = 0. What is m?
0, 2, 56
Let 2*t**5/21 - 34*t**4/7 + 338*t**3/7 + 7486*t**2/21 + 272*t - 672 = 0. What is t?
-3, 1, 28
Find g, given that 2*g**3/7 + 114*g**2/7 + 2166*g/7 + 13718/7 = 0.
-19
Factor 20*i**2 + 108*i + 40.
4*(i + 5)*(5*i + 2)
Factor 4*j**3 - 816*j**2 - 25200*j - 181888.
4*(j - 232)*(j + 14)**2
Let -2*m**2/5 + 54*m/5 - 52/5 = 0. Calculate m.
1, 26
Find p, given that -10*p**5/3 - 82*p**4/3 - 266*p**3/5 + 98*p**2/15 + 416*p/15 - 8 = 0.
-5, -3, -1, 2/5
Factor 4*v**2 + 536*v + 17956.
4*(v + 67)**2
Factor 2*r**3/5 + 2*r**2/5 - 24*r/5.
2*r*(r - 3)*(r + 4)/5
Factor -f**3/3 - 47*f**2/3 - 44*f.
-f*(f + 3)*(f + 44)/3
Determine s, given that -9*s**4 + 525*s**3 - 165*s**2 - 525*s + 174 = 0.
-1, 1/3, 1, 58
Factor s**2/3 - 49*s/3 + 598/3.
(s - 26)*(s - 23)/3
Let 2*v**4/13 - 10*v**3/13 + 4*v**2/13 + 16*v/13 = 0. What is v?
-1, 0, 2, 4
Factor -q**3/5 + 1777*q**2/5 - 788543*q/5 - 790321/5.
-(q - 889)**2*(q + 1)/5
Factor -15*z**4 + 50*z**3 - 45*z**2 + 10*z.
-5*z*(z - 2)*(z - 1)*(3*z - 1)
Find k such that -k**3/9 - 118*k**2/9 + 484*k/9 - 488/9 = 0.
-122, 2
Solve -o**4 + 16*o**3 = 0.
0, 16
Factor 2*j**5 + 74*j**4 - 76*j**3.
2*j**3*(j - 1)*(j + 38)
Let 3*d**5 + 18*d**4 - 111*d**3 + 102*d**2 + 108*d - 120 = 0. What is d?
-10, -1, 1, 2
Find p, given that -p**4/2 - 87*p**3/2 - 2097*p**2/2 - 8897*p/2 - 5043 = 0.
-41, -3, -2
Determine r, given that 3*r**2/8 - 75*r/8 + 54 = 0.
9, 16
Factor b**3 + 36*b**2 + 240*b + 448.
(b + 4)**2*(b + 28)
Factor 2*x**3/5 - 8*x/5.
2*x*(x - 2)*(x + 2)/5
Suppose x**3/5 + 99*x**2/5 - 102*x/5 - 40 = 0. What is x?
-100, -1, 2
Factor -g**2/5 - 7*g/5 - 12/5.
-(g + 3)*(g + 4)/5
Factor 3*i**3/5 - 9*i**2/5 - 3*i/5 + 9/5.
3*(i - 3)*(i - 1)*(i + 1)/5
Solve -3*d**2 - 162*d = 0.
-54, 0
Solve -c**3 + 2*c**2 + 4*c - 8 = 0.
-2, 2
Factor 4*m**3/7 - 12*m**2 + 284*m/7 - 204/7.
4*(m - 17)*(m - 3)*(m - 1)/7
Factor -u**2/7 - 1324*u/7 - 438244/7.
-(u + 662)**2/7
Find n, given that 5*n**5 + 5*n**4 - 5*n**3 - 5*n**2 = 0.
-1, 0, 1
Factor -4*g**5 + 16*g**4 - 20*g**3 + 8*g**2.
-4*g**2*(g - 2)*(g - 1)**2
Solve 2*y**2/7 + 54*y/7 + 100/7 = 0 for y.
-25, -2
Determine d, given that 2*d**2 - 142*d + 408 = 0.
3, 68
Find x such that -4*x**4 - 48*x**3 - 104*x**2 + 48*x + 108 = 0.
-9, -3, -1, 1
Factor -p**2/5 - 3*p/5 + 2.
-(p - 2)*(p + 5)/5
Factor -3*u**3 + 450*u**2 - 16875*u.
-3*u*(u - 75)**2
Determine a, given that 2*a**2 - 660*a + 54450 = 0.
165
Factor 2*p**3/9 - 182*p**2/9 + 4048*p/9 + 4232/9.
2*(p - 46)**2*(p + 1)/9
Suppose 106*c**3 - 158*c**2 + 52*c = 0. Calculate c.
0, 26/53, 1
Suppose 6*p**2 - 3*p - 45 = 0. Calculate p.
-5/2, 3
Factor -4*c**4 + 28*c**3 - 24*c**2.
-4*c**2*(c - 6)*(c - 1)
Factor 5*y**4 + 100*y**3 - 5*y**2 - 100*y.
5*y*(y - 1)*(y + 1)*(y + 20)
Solve -21*t**5 + 83*t**4 - 43*t**3 - 71*t**2 + 64*t - 12 = 0 for t.
-1, 2/7, 2/3, 1, 3
Factor -i**4 - 18*i**3 - 105*i**2 - 196*i.
-i*(i + 4)*(i + 7)**2
Factor s**3/7 - 283*s**2 + 982080*s/7 - 980100/7.
(s - 990)**2*(s - 1)/7
Factor -3*c**2 - 1473*c - 2934.
-3*(c + 2)*(c + 489)
Find f such that -3*f**3 + 60*f**2 - 204*f + 192 = 0.
2, 16
Let -4*h**5 - 100*h**4 + 960*h**3 - 3040*h**2 + 4160*h - 2112 = 0. Calculate h.
-33, 2
Factor 3*v**2/4 - 3*v/2.
3*v*(v - 2)/4
Factor -2*w**2 + 256*w - 8192.
-2*(w - 64)**2
Find z, given that 2*z**3 - 26*z**2 + 88*z - 64 = 0.
1, 4, 8
Solve -2*s**4/3 + 22*s**3/3 - 22*s**2 + 10*s/3 + 100/3 = 0 for s.
-1, 2, 5
Factor -v**5 - v**4 + 2*v**3.
-v**3*(v - 1)*(v + 2)
Let 4*k**3/3 - 632*k**2/3 + 2480*k/3 - 2464/3 = 0. What is k?
2, 154
Factor -5*u**4/4 - 1485*u**3 - 885055*u**2/2 - 880605*u - 1758245/4.
-5*(u + 1)**2*(u + 593)**2/4
Find m such that -m**3/5 + 8*m**2/5 - 19*m/5 + 12/5 = 0.
1, 3, 4
Factor -3*l**2 - 213*l + 216.
-3*(l - 1)*(l + 72)
Let -2*k**4 + 48*k**3 - 132*k**2 + 128*k - 42 = 0. Calculate k.
1, 21
Solve 5*j**5 - 5*j**4 - 25*j**3 + 25*j**2 + 20*j - 20 = 0.
-2, -1, 1, 2
Let y**3/3 + 23*y**2/3 + 79*y/3 + 19 = 0. What is y?
-19, -3, -1
Suppose 5*y**4 - 30*y**3 - 35*y**2 = 0. What is y?
-1, 0, 7
Factor -4*c**2/7 + 192*c/7 - 2204/7.
-4*(c - 29)*(c - 19)/7
Solve s**5 - 11*s**4/3 + 10*s**3/3 + 2*s**2 - 13*s/3 + 5/3 = 0.
-1, 1, 5/3
Factor 2*a**3/7 + 120*a**2/7 - 246*a/7 + 124/7.
2*(a - 1)**2*(a + 62)/7
Factor -5*o**2 - 60*o + 140.
-5*(o - 2)*(o + 14)
Factor 12*f**2 - 93*f - 24.
3*(f - 8)*(4*f + 1)
Factor 4*d**3/7 + 1324*d**2/7 + 2636*d/7 + 188.
4*(d + 1)**2*(d + 329)/7
Suppose 2*w**5 - 10*w**4 + 10*w**3 + 10*w**2 - 12*w = 0. Calculate w.
-1, 0, 1, 2, 3
Solve