i.
-2, 14
Factor -4*o**4 + 6064*o**3 - 54360*o**2 + 162864*o - 162756.
-4*(o - 1507)*(o - 3)**3
Find i, given that 21*i**2 - 48*i + 12 = 0.
2/7, 2
Find i, given that 5*i**2 + 210*i - 920 = 0.
-46, 4
Let 3*d**5 + 219*d**4 - 2160*d**3 + 4440*d**2 + 912*d - 5904 = 0. Calculate d.
-82, -1, 2, 6
Suppose 70*k**3/19 + 944*k**2/19 + 1272*k/19 + 288/19 = 0. What is k?
-12, -6/5, -2/7
Find a such that a**3 + 3*a**2 - 4 = 0.
-2, 1
Factor -2*q**3/7 - 46*q**2/7 + 348*q/7.
-2*q*(q - 6)*(q + 29)/7
Factor -3*m**2/2 - 93*m + 189/2.
-3*(m - 1)*(m + 63)/2
Suppose 4*y**5 + 88*y**4 + 600*y**3 + 1312*y**2 + 1156*y + 360 = 0. What is y?
-10, -9, -1
Factor -h**2 - 27*h - 126.
-(h + 6)*(h + 21)
Let 5*m**2 - 17*m/2 - 3 = 0. What is m?
-3/10, 2
Factor 40*r**3 + 76*r**2 - 312*r.
4*r*(r - 2)*(10*r + 39)
Let 2*d**3/5 - 2202*d**2/5 + 121440*d - 121000 = 0. Calculate d.
1, 550
Factor 5*g**2 - 130*g + 440.
5*(g - 22)*(g - 4)
Suppose 12*v**4 - 8*v**3 - 144*v**2 - 96*v + 128 = 0. What is v?
-2, 2/3, 4
Determine g so that -26*g**5 - 239*g**4/2 + 851*g**3 + 8909*g**2/2 + 2220*g - 450 = 0.
-5, -3/4, 2/13, 6
Determine p so that -p**2/3 + 259*p/3 - 514/3 = 0.
2, 257
Factor -2*g**3/9 - 2*g**2/9 + 20*g/9 - 16/9.
-2*(g - 2)*(g - 1)*(g + 4)/9
Determine b, given that 5*b**3 - 15*b**2 + 15*b - 5 = 0.
1
Let l**3/7 - 36*l**2/7 + 285*l/7 + 722/7 = 0. What is l?
-2, 19
Solve -8*a**4/11 + 142*a**3/11 - 436*a**2/11 + 218*a/11 + 84/11 = 0.
-1/4, 1, 3, 14
Let -2*w**5/3 + 22*w**4/3 - 16*w**3 - 8*w**2/3 + 64*w/3 = 0. What is w?
-1, 0, 2, 8
Factor -4*b**2 - 380*b - 3400.
-4*(b + 10)*(b + 85)
Factor -4*s**5/7 + 102*s**4/7 + 52*s**3/7.
-2*s**3*(s - 26)*(2*s + 1)/7
Factor 6*b**3/5 - 132*b**2/5.
6*b**2*(b - 22)/5
Suppose u**4/6 - 19*u**3/6 - 7*u**2/2 + 19*u/6 + 10/3 = 0. Calculate u.
-1, 1, 20
Find v such that -v**2/9 - 244*v/9 - 14884/9 = 0.
-122
Let -3*b**2 + 123*b - 1260 = 0. Calculate b.
20, 21
Find k such that 5*k**2 - 260*k + 255 = 0.
1, 51
Solve 3*z**2/8 - 27*z + 486 = 0.
36
Factor 2*j**2 + 12*j - 14.
2*(j - 1)*(j + 7)
Solve -3*k**2 + 135*k = 0 for k.
0, 45
Factor -l**2/2 - 99*l/2 + 50.
-(l - 1)*(l + 100)/2
Suppose t**2 - 63*t - 130 = 0. What is t?
-2, 65
Factor 4*v**2 - 508*v + 1000.
4*(v - 125)*(v - 2)
Factor n**2/10 + 3992*n/5 + 7968032/5.
(n + 3992)**2/10
Find b such that -50*b**4/13 - 220*b**3/13 - 82*b**2/13 - 8*b/13 = 0.
-4, -1/5, 0
Factor w**3/2 + 7*w**2 + 20*w.
w*(w + 4)*(w + 10)/2
Factor -11*u**2 - 2*u + 9.
-(u + 1)*(11*u - 9)
Factor 3*m**3/5 + 24*m**2/5 + 12*m + 48/5.
3*(m + 2)**2*(m + 4)/5
Determine z, given that 3*z**2/2 + 53*z/4 - 19/2 = 0.
-19/2, 2/3
Solve a**5 + 11*a**4 - 12*a**3 = 0 for a.
-12, 0, 1
What is a in -5*a**5 + 80*a**4 - 245*a**3 + 30*a**2 + 360*a = 0?
-1, 0, 2, 3, 12
Find q such that -4*q**2/3 - 928*q/3 = 0.
-232, 0
Solve -3*j**2/8 + 111*j/4 - 219/8 = 0 for j.
1, 73
Factor -3*c**3/5 - 69*c**2/5 - 72*c.
-3*c*(c + 8)*(c + 15)/5
Factor -3*f**3/5 + 102*f**2/5 - 183*f/5 - 288/5.
-3*(f - 32)*(f - 3)*(f + 1)/5
Suppose -12*k**5 - 63*k**4 + 237*k**3 - 213*k**2 + 27*k + 24 = 0. Calculate k.
-8, -1/4, 1
Factor l**5/5 + 2*l**4/5 - 3*l**3/5.
l**3*(l - 1)*(l + 3)/5
Factor -2*d**5/7 - 8*d**4/7 - 10*d**3/7 - 4*d**2/7.
-2*d**2*(d + 1)**2*(d + 2)/7
Factor 7*t**2 + 261*t + 74.
(t + 37)*(7*t + 2)
Factor 3*h**5 + 24*h**4 + 36*h**3 - 6*h**2 - 39*h - 18.
3*(h - 1)*(h + 1)**3*(h + 6)
Find j, given that -4*j**2/7 + 19696*j/7 - 24245776/7 = 0.
2462
Factor -q**4/2 + 29*q**3/2 - 103*q**2/2 + 75*q/2.
-q*(q - 25)*(q - 3)*(q - 1)/2
Let -2*h**4/11 + 6*h**3/11 + 12*h**2/11 - 16*h/11 = 0. Calculate h.
-2, 0, 1, 4
Solve -16*m**4 + 48*m**3 + 124*m**2 - 168*m - 288 = 0.
-3/2, 2, 4
Solve -5*s**4 + 50*s**3 - 105*s**2 - 200*s + 500 = 0 for s.
-2, 2, 5
Let l**2/5 + 102*l/5 + 40 = 0. Calculate l.
-100, -2
Determine u, given that 9*u**5 + 6*u**4 - 27*u**3 + 12*u = 0.
-2, -2/3, 0, 1
Solve x**2 - 84*x - 540 = 0.
-6, 90
Suppose c**4/4 + 5*c**3/2 + 29*c**2/4 + 8*c + 3 = 0. Calculate c.
-6, -2, -1
What is b in -4*b**5 - 86*b**4 - 440*b**3 - 766*b**2 - 216*b + 360 = 0?
-15, -3, -2, 1/2
Determine h so that -5*h**5 - 5*h**4 + 60*h**3 + 80*h**2 - 160*h - 240 = 0.
-2, 2, 3
Determine q so that -2*q**2/11 - 11588*q/11 - 16785218/11 = 0.
-2897
Let -4*d**5 + 4*d**4 + 4*d**3 - 4*d**2 = 0. What is d?
-1, 0, 1
Solve 3*o**4 - 6*o**3 - 3264*o**2 + 6534*o - 3267 = 0.
-33, 1, 33
Let -f**4/2 - 11*f**3/2 - 33*f**2/2 - 37*f/2 - 7 = 0. Calculate f.
-7, -2, -1
Let 2*s**2 + 140*s + 138 = 0. What is s?
-69, -1
What is h in 4*h**4 + 324*h**3 - 996*h**2 + 1004*h - 336 = 0?
-84, 1
Solve 4*b**4 + 17*b**3 - 24*b**2 - 47*b - 10 = 0 for b.
-5, -1, -1/4, 2
Factor 5*g**2 - 180*g + 1620.
5*(g - 18)**2
Factor -w**2/3 + 4*w/3 - 4/3.
-(w - 2)**2/3
Solve 5*i**5 + 75*i**4 - 680*i**3 + 1880*i**2 - 2160*i + 880 = 0 for i.
-22, 1, 2
Factor -3*m**5/2 + 9*m**3/2 + 3*m**2.
-3*m**2*(m - 2)*(m + 1)**2/2
Let 3*q**3/5 - 51*q**2/5 - 288*q/5 + 756/5 = 0. Calculate q.
-6, 2, 21
Determine a so that a**4/4 + a**3 - 7*a**2/4 - 5*a/2 = 0.
-5, -1, 0, 2
Factor -2*h**2/7 + 54*h - 2196/7.
-2*(h - 183)*(h - 6)/7
Factor 2*r**2 - 246*r + 4284.
2*(r - 102)*(r - 21)
Let y**5/5 + 61*y**4/5 + 1233*y**3/5 + 10039*y**2/5 + 29146*y/5 + 4056 = 0. Calculate y.
-30, -13, -4, -1
Factor -49*c**3/3 - 707*c**2/3 + 416*c/3 - 20.
-(c + 15)*(7*c - 2)**2/3
What is w in 3*w**4 - 3*w**3 - 9*w**2 + 3*w + 6 = 0?
-1, 1, 2
Solve -2*d**2 - 3124*d - 1219922 = 0.
-781
Suppose 2*c**4 + 220*c**3 - 462*c**2 - 1576*c - 896 = 0. Calculate c.
-112, -1, 4
Factor t**5 + 53*t**4 + 728*t**3 + 676*t**2.
t**2*(t + 1)*(t + 26)**2
What is p in 5*p**5 + 5*p**4 - 15*p**3 - 25*p**2 - 10*p = 0?
-1, 0, 2
Factor 3*j**3 + 3279*j**2 + 894345*j - 897627.
3*(j - 1)*(j + 547)**2
Let -2*s**4 - 16*s**3 - 40*s**2 - 32*s = 0. Calculate s.
-4, -2, 0
Factor t**2 - 184*t - 561.
(t - 187)*(t + 3)
Suppose -g**4 - 4*g**3 + 13*g**2 + 40*g - 48 = 0. Calculate g.
-4, 1, 3
Factor -3*c**3/2 - 7*c**2/2 + 14*c + 16.
-(c + 1)*(c + 4)*(3*c - 8)/2
Suppose 35*f**3 + 150*f**2 - 695*f - 210 = 0. Calculate f.
-7, -2/7, 3
Factor t**3 + 31*t**2/3 - 958*t/3 + 208.
(t - 13)*(t + 24)*(3*t - 2)/3
Let 2*p**3/7 - 26*p**2/7 - 92*p/7 - 64/7 = 0. What is p?
-2, -1, 16
Determine c so that 16*c**5/7 + 12*c**4 - 1572*c**3/7 + 1420*c**2/7 + 11700*c/7 = 0.
-13, -9/4, 0, 5
Determine b, given that -2*b**2/7 + 142*b/7 = 0.
0, 71
Solve -2*d**3 - 2*d**2 + 28*d + 48 = 0.
-3, -2, 4
Factor 8*l**2/9 + 40*l/9 + 50/9.
2*(2*l + 5)**2/9
Factor 5*y**3 + 90*y**2 + 85*y.
5*y*(y + 1)*(y + 17)
Let -4*g**2/7 - 248*g/7 + 36 = 0. What is g?
-63, 1
Let -2*y**4/17 + 48*y**3/17 + 72*y**2/17 - 1728*y/17 = 0. Calculate y.
-6, 0, 6, 24
Solve 2*u**5 + 310*u**4/9 - 8914*u**3/9 + 14978*u**2/9 - 4544*u/9 - 616/3 = 0.
-33, -2/9, 1, 14
Factor v**2/3 - 170*v + 21675.
(v - 255)**2/3
Solve s**2/7 - 3194*s/7 + 2550409/7 = 0.
1597
Suppose -3*b**4 - 3*b**3 + 27*b**2 + 27*b = 0. Calculate b.
-3, -1, 0, 3
Solve u**2 + 156*u + 6084 = 0 for u.
-78
Factor 4*o**2 - o/2.
o*(8*o - 1)/2
Solve 33*d**4 + 102*d**3 + 72*d**2 = 0.
-2, -12/11, 0
What is x in 4*x**2/7 - 456*x/7 + 5940/7 = 0?
15, 99
Factor -b**3 + 12*b**2 - 20*b.
-b*(b - 10)*(b - 2)
Suppose -f**3/12 + 11*f**2/4 + 17*f/6 = 0. Calculate f.
-1, 0, 34
Find j such that 8*j**3/3 + 212*j**2 - 544*j + 656/3 = 0.
-82, 1/2, 2
Let -q**4/5 + 236*q**3/5 + 288*q**2 + 2896*q/5 + 1936/5 = 0. What is q?
-2, 242
Factor 2*r**2/13 - 640*r/13 + 638/13.
2*(r - 319)*(r - 1)/13
Factor -36*d**3 + 348*d**2 + 512*d + 176.
-4*(d - 11)*(3*d + 2)**2
Determine s, given that s**5 - 5*s**4/4 - 3*s**3/4 + 5*s**2/4 - s/4 = 0.
-1, 0, 1/4, 1
Factor -3*b**3 - 61*b**2/2 - 32*b - 9/2.
-(b + 1)*(b + 9)*(6*b + 1)/2
Factor -z**3 - 25*z**2 - 187*z - 363.
-(z + 3)*(z + 11)**2
Factor -4*l**5/9 + 4*l**4/9 + 4*l**3/9 - 4*l**2/9.
-4*l**2*(l - 1)**2*(l + 1)/9
Determine p, given that 4*p**4 + 72*p**3 + 260*p**2 = 0.
-13, -5, 0
Solve 2*w**2/13 - 152*w/13 + 2888/13 = 0.
38
Find k such that -9*k**5 + 84*k**4 - 234*k**2 - 87*k + 54 = 0.
-1, 1/3, 2, 9
Factor 4*k**2 - 116*k - 120.
4*(k - 30)*(k + 1)
Suppose 4*v**5 - 304*v**4 - 328*v**3 + 1552*v**2 - 924*v = 0. What is v?
-3, 0, 1, 77
Factor -2*a**2 + 10*a + 48.
-2*(a - 8)*(a + 3)
Solve -6*u**3/7 - 26*u**2/7 + 132*u/7 = 0 for u.
-22/3, 0, 3
Factor 14*c**2 - 1094*c + 156.
2*(c - 78)*(7*c - 1)
What is l in -2*l**2 - 16*l + 850 = 0?
-25, 17
Factor -2*n**3/17 