ate v.
-2065
Find f such that -4*f**3 - 52*f**2 - 192*f - 144 = 0.
-6, -1
Suppose -3*n**5/11 - 7*n**4/11 + 31*n**3/11 + 47*n**2/11 - 96*n/11 - 36/11 = 0. What is n?
-3, -1/3, 2
Suppose 4*b**2 - 4*b - 24 = 0. Calculate b.
-2, 3
Let -12*m**5 - 9*m**4 + 51*m**3 + 36*m**2 - 12*m = 0. What is m?
-2, -1, 0, 1/4, 2
Factor 5*q**5 + 30*q**4 - 20*q**3 - 120*q**2.
5*q**2*(q - 2)*(q + 2)*(q + 6)
Solve 3*w**5/2 - 9*w**3/2 - 3*w**2 = 0 for w.
-1, 0, 2
Factor 3*q**2/8 + 75*q/8 + 9.
3*(q + 1)*(q + 24)/8
Factor 4*l**2/9 + 416*l/9 + 10816/9.
4*(l + 52)**2/9
Solve 3*v**2/5 + 318*v/5 = 0.
-106, 0
Factor -2*c**2/11 + 340*c/11 - 14450/11.
-2*(c - 85)**2/11
Find o, given that 2*o**2/15 + 428*o/15 - 86/3 = 0.
-215, 1
Factor -105*n**2 - 103*n + 2.
-(n + 1)*(105*n - 2)
Factor 4*s**3 - 476*s**2 + 12348*s + 111132.
4*(s - 63)**2*(s + 7)
Factor -13*i**3/4 + 67*i**2/4 + 17*i - 3.
-(i - 6)*(i + 1)*(13*i - 2)/4
Suppose -2*g**5 + 44*g**4 - 282*g**3 + 440*g**2 - 200*g = 0. Calculate g.
0, 1, 10
Factor -4*w**2 + 456*w.
-4*w*(w - 114)
Let 5*z**2 + 2510*z + 315005 = 0. What is z?
-251
Factor -4*a**3/5 + 171*a**2/5 + 46*a/5 - 129/5.
-(a - 43)*(a + 1)*(4*a - 3)/5
Suppose 3*a**4/8 - 21*a**3/4 + 12*a**2 + 48*a = 0. What is a?
-2, 0, 8
Let -32*t**2 + 582*t - 108 = 0. What is t?
3/16, 18
Determine f so that 2*f**5/13 - 36*f**4/13 + 218*f**3/13 - 504*f**2/13 + 392*f/13 = 0.
0, 2, 7
Determine i, given that 20*i**5 - 185*i**4 - 855*i**3 + 1845*i**2 + 6075*i - 1620 = 0.
-3, 1/4, 3, 12
What is l in 3*l**2/8 + 15*l/4 - 189 = 0?
-28, 18
Suppose 3*g**3/5 + 66*g**2/5 + 363*g/5 = 0. What is g?
-11, 0
Let 4*s**3 + 168*s**2 + 1584*s - 3872 = 0. What is s?
-22, 2
Suppose 38*v**3/11 - 916*v**2/11 + 5568*v/11 - 576/11 = 0. What is v?
2/19, 12
Factor 3*k**2 + 15*k - 312.
3*(k - 8)*(k + 13)
Suppose 2*m**5/5 + 14*m**4/5 + 8*m**3/5 - 24*m**2/5 = 0. What is m?
-6, -2, 0, 1
Find d, given that 5*d**4 - 5*d**3 - 5*d**2 + 5*d = 0.
-1, 0, 1
Factor 4*g**3 + 12*g**2 + 8*g.
4*g*(g + 1)*(g + 2)
Factor -w**3/4 - 11*w**2 + 45*w/4.
-w*(w - 1)*(w + 45)/4
Solve -3*b**5 - 9*b**4 + 39*b**3 + 45*b**2 = 0 for b.
-5, -1, 0, 3
Factor -4*n**3 + 196*n.
-4*n*(n - 7)*(n + 7)
Factor 3*q**3 + 21*q**2 + 36*q.
3*q*(q + 3)*(q + 4)
Determine j so that 3*j**2 + 90*j - 1677 = 0.
-43, 13
Let -4*d**5 + 197*d**4 - 45*d**3 - 197*d**2 + 49*d = 0. What is d?
-1, 0, 1/4, 1, 49
What is l in l**3/4 - 7*l**2/2 + 49*l/4 = 0?
0, 7
Factor -x**4/2 + 3*x**3 + 63*x**2/2 + 52*x + 24.
-(x - 12)*(x + 1)**2*(x + 4)/2
Factor 7*k**3/3 + 32*k**2 + 21*k - 26/3.
(k + 1)*(k + 13)*(7*k - 2)/3
Solve -u**2 - 149*u/7 - 6 = 0 for u.
-21, -2/7
Solve -3*k**2/2 - 27*k/2 + 33 = 0 for k.
-11, 2
Solve -15*l**4/8 + 101343*l**3/4 - 114118974*l**2 + 171361048656*l - 68526162048 = 0 for l.
2/5, 4504
Factor o**5 + 22*o**4 + 41*o**3 + 20*o**2.
o**2*(o + 1)**2*(o + 20)
Factor 2*i**4/3 - 22*i**3/3 - 32*i**2/3 + 640*i/3.
2*i*(i - 8)**2*(i + 5)/3
What is o in 2*o**3 + 164*o**2 + 1062*o + 900 = 0?
-75, -6, -1
What is m in -m**4/6 + 3*m**3 - 17*m**2/6 = 0?
0, 1, 17
Factor -27*d**3/8 + 183*d**2/8 - 15*d - 9/2.
-3*(d - 6)*(d - 1)*(9*d + 2)/8
What is z in 3*z**3/7 + 138*z**2/7 - 285*z/7 + 144/7 = 0?
-48, 1
Factor p**3 - 1062*p**2 + 2121*p - 1060.
(p - 1060)*(p - 1)**2
Let 2*a**2 + 752*a = 0. What is a?
-376, 0
Find i, given that i**5/8 + 9*i**4/8 - i**3/4 - 9*i**2/4 + i/8 + 9/8 = 0.
-9, -1, 1
Suppose -j**3/3 - 71*j**2/3 - 45*j + 69 = 0. What is j?
-69, -3, 1
Determine r so that 4*r**4 + 100*r**3 + 248*r**2 - 352*r = 0.
-22, -4, 0, 1
Solve 2*z**5 - 2*z**4 - 6*z**3 + 2*z**2 + 4*z = 0 for z.
-1, 0, 1, 2
Factor 3*w**4 - 147*w**3 + 1431*w**2 + 3315*w + 1734.
3*(w - 34)*(w - 17)*(w + 1)**2
Factor 74*c**3/5 + 8*c**2/3.
2*c**2*(111*c + 20)/15
Factor 2*q**5/7 - 194*q**4/7 + 382*q**3/7 - 190*q**2/7.
2*q**2*(q - 95)*(q - 1)**2/7
Factor -2*k**4/5 - 176*k**3/5 - 3504*k**2/5 + 16192*k/5 - 16928/5.
-2*(k - 2)**2*(k + 46)**2/5
Find x such that 2*x**5 + 156*x**4 + 3178*x**3 + 4720*x**2 - 19608*x + 11552 = 0.
-38, -4, 1
Factor -2*c**3/5 + 336*c**2/5 - 14442*c/5 + 27556/5.
-2*(c - 83)**2*(c - 2)/5
Let -y**5/6 + 43*y**4/6 - 241*y**3/3 + 199*y**2/3 + 161*y/2 - 147/2 = 0. Calculate y.
-1, 1, 21
Solve -3*a**4/10 - 4*a**3/5 - a**2/10 + 4*a/5 + 2/5 = 0.
-2, -1, -2/3, 1
Find j, given that 2*j**5/19 - 4*j**4/19 - 2*j**3/19 + 4*j**2/19 = 0.
-1, 0, 1, 2
Factor y**5/8 + 9*y**4/8 + 3*y**3/2 - 8*y**2 - 24*y - 18.
(y - 3)*(y + 2)**3*(y + 6)/8
Factor 3*q**2/4 - 201*q/4 + 99/2.
3*(q - 66)*(q - 1)/4
Factor 6*i**2/7 + 236*i/7 + 304/7.
2*(i + 38)*(3*i + 4)/7
Solve q**2/5 - 4*q/5 = 0 for q.
0, 4
Factor 3*z**2/5 - 21*z/5 - 36.
3*(z - 12)*(z + 5)/5
What is y in 2*y**5/3 - 158*y**4/3 - 322*y**3/3 - 54*y**2 = 0?
-1, 0, 81
Factor -2*s**2/7 + 512/7.
-2*(s - 16)*(s + 16)/7
Factor -3*c**2/5 + 6*c/5 + 21.
-3*(c - 7)*(c + 5)/5
Find g, given that -g**2/4 + 111*g/4 + 351/2 = 0.
-6, 117
Let 25*g**4/4 - 60*g**3 + 301*g**2/4 + 75*g/2 + 4 = 0. What is g?
-1/5, 2, 8
Suppose -6*m**3 + 310*m**2/3 - 356*m/3 + 64/3 = 0. Calculate m.
2/9, 1, 16
Factor -5*j**3 - 40*j**2 - 35*j.
-5*j*(j + 1)*(j + 7)
Determine i so that 4*i**2/3 + 140*i + 824/3 = 0.
-103, -2
Factor -2*c**2/13 - 388*c/13 - 18818/13.
-2*(c + 97)**2/13
Find o, given that -4*o**3 + 20*o**2 - 32*o + 16 = 0.
1, 2
Let -3*o**4 + 1692*o**3 + 3*o**2 - 1692*o = 0. What is o?
-1, 0, 1, 564
Factor n**4 + 1580*n**3 + 625677*n**2 + 1245042*n.
n*(n + 2)*(n + 789)**2
Find d, given that -d**5/6 + d**4 + 7*d**3/6 = 0.
-1, 0, 7
Solve 5*w**3 - 75*w**2 - 5*w + 75 = 0 for w.
-1, 1, 15
Suppose -3*o**5 - 81*o**4 + 354*o**3 - 546*o**2 + 369*o - 93 = 0. What is o?
-31, 1
Suppose -6*z**2/5 + 16*z/5 + 32/5 = 0. What is z?
-4/3, 4
Factor 8*p**3 - 5*p**2 - 51*p - 18.
(p - 3)*(p + 2)*(8*p + 3)
Let 3*g**3 + 117*g**2 + 222*g = 0. Calculate g.
-37, -2, 0
Factor 2*o**2/5 + 16*o/5 - 8.
2*(o - 2)*(o + 10)/5
Factor -2*l**3/13 + 366*l**2/13 - 726*l/13 + 362/13.
-2*(l - 181)*(l - 1)**2/13
Let -4*d**5 - 56*d**4 + 4*d**3 + 56*d**2 = 0. Calculate d.
-14, -1, 0, 1
Determine a so that 2*a**2 + 88*a + 936 = 0.
-26, -18
Factor 2*i**3/5 - 20*i**2 + 438*i/5 + 108.
2*(i - 45)*(i - 6)*(i + 1)/5
Solve 3*p**3 - 87*p**2 + 825*p - 2541 = 0 for p.
7, 11
Solve 2*h**2 - 1394*h + 1392 = 0 for h.
1, 696
Factor 2*b**5/3 - 2*b**4 + 4*b**3/3.
2*b**3*(b - 2)*(b - 1)/3
Factor -3*l**2 + 27*l - 42.
-3*(l - 7)*(l - 2)
Find o such that -38*o**4 - 262*o**3 - 124*o**2 + 472*o - 48 = 0.
-6, -2, 2/19, 1
Factor -4*i**3 + 52*i**2 + 116*i + 60.
-4*(i - 15)*(i + 1)**2
What is n in 5*n**2 - 55*n - 60 = 0?
-1, 12
Find x, given that -2*x**5/5 + 52*x**4 + 264*x**3/5 - 52*x**2 - 262*x/5 = 0.
-1, 0, 1, 131
What is v in 2*v**5 + 10*v**4/3 - 124*v**3/3 - 356*v**2/3 - 46*v + 30 = 0?
-3, -1, 1/3, 5
What is f in -f**3/7 - 202*f**2/7 - 1185*f/7 - 252 = 0?
-196, -3
Determine c so that 3*c**3 + 6*c**2 - 297*c = 0.
-11, 0, 9
Solve -5*h**2 - 240*h + 2240 = 0.
-56, 8
Solve 2*j**2 - 2688*j - 2690 = 0 for j.
-1, 1345
Find u, given that 3*u**3 + 12*u**2 - 153*u - 162 = 0.
-9, -1, 6
Determine q so that 3*q**4/5 - 36*q**3/5 - 69*q**2/5 + 414*q/5 - 312/5 = 0.
-4, 1, 2, 13
What is y in 2*y**5 + 20*y**4 - 22*y**3 = 0?
-11, 0, 1
Factor 2*f**2 + 176*f/7 + 96/7.
2*(f + 12)*(7*f + 4)/7
Factor 2*d**5/3 - 68*d**4 + 1734*d**3.
2*d**3*(d - 51)**2/3
Solve -o**2/3 - 110*o/3 + 224/3 = 0 for o.
-112, 2
Find a such that 2*a**2/13 + 384*a/13 - 386/13 = 0.
-193, 1
Suppose 2*m**2 - 1636*m - 3280 = 0. Calculate m.
-2, 820
Solve -5*z**4 - 165*z**3 - 120*z**2 + 1340*z + 1920 = 0 for z.
-32, -2, 3
Solve -3*a**2/8 - 189*a/4 - 11907/8 = 0 for a.
-63
Suppose 5*a**5 - 80*a**4 - 95*a**3 + 170*a**2 = 0. What is a?
-2, 0, 1, 17
Factor 3*n**3 + 12*n**2 - 1716*n.
3*n*(n - 22)*(n + 26)
Factor 3*u**2 + 450*u.
3*u*(u + 150)
Find w, given that w**5/3 - 10*w**4/3 - 4*w**3 + 10*w**2/3 + 11*w/3 = 0.
-1, 0, 1, 11
What is n in -3*n**2 - 399*n - 786 = 0?
-131, -2
Find r, given that 2*r**4 - 228*r**3 - 1440*r**2 - 64*r + 7680 = 0.
-4, 2, 120
Suppose -n**4/4 + 65*n**3/4 - 183*n**2/2 + 179*n - 118 = 0. What is n?
2, 59
Determine m, given that 3*m**3 - 15*m**2 + 12*m = 0.
0, 1, 4
Factor -5*a**3 + 20*a**2 + 45*a - 180.
-5*(a - 4)*(a - 3)*(a + 3)
Factor 3*z**3 + 195*z**2/4 + 423*z/2 + 1107/4.
3*(z + 3)**2*(4*z + 41)/4
Determine g, given that -5*g**4 - 72*g**3 - 93*g**2 - 26*g = 0.
-13, -1, -2/5, 0
Find a such that 4*a**5/9 