 1)
Factor -2*h**2 + 554*h + 1116.
-2*(h - 279)*(h + 2)
Factor 2*j**2 - 104*j/5 + 8.
2*(j - 10)*(5*j - 2)/5
Suppose 9*d**5 + 57*d**4/2 + 63*d**3/2 + 27*d**2/2 + 3*d/2 = 0. Calculate d.
-1, -1/6, 0
Factor 2*c**2/11 + 14384*c/11 + 25862432/11.
2*(c + 3596)**2/11
Solve 4*u**2 - 200*u + 2500 = 0.
25
Factor 12*l**3 - 284*l**2 - 1068*l - 324.
4*(l - 27)*(l + 3)*(3*l + 1)
Factor -2*f**3/5 - 8*f**2/5 + 14*f/5 + 4.
-2*(f - 2)*(f + 1)*(f + 5)/5
Solve -2*j**2 - 7*j - 3 = 0 for j.
-3, -1/2
Factor -4*s**2 + 284*s - 552.
-4*(s - 69)*(s - 2)
Factor -5*v**3/3 - 13*v**2/3 + 26*v/3 - 8/3.
-(v - 1)*(v + 4)*(5*v - 2)/3
Suppose -2*l**4/7 + 2*l**3 + 18*l**2/7 - 2*l - 16/7 = 0. Calculate l.
-1, 1, 8
Find y, given that -5*y**5 + 15*y**4 + 90*y**3 + 20*y**2 - 120*y = 0.
-2, 0, 1, 6
Suppose -t**4 - 31*t**3 - 48*t**2 + 3280*t - 3200 = 0. What is t?
-20, 1, 8
Let -u**5/4 + 7*u**4/4 - 5*u**3/4 - 7*u**2/4 + 3*u/2 = 0. What is u?
-1, 0, 1, 6
Find y such that -2*y**5 - 68*y**4 - 428*y**3 + 2512*y**2 - 3458*y + 1444 = 0.
-19, 1, 2
Factor y**3/4 + 881*y**2/2 + 3521*y/4 + 440.
(y + 1)**2*(y + 1760)/4
Factor -z**5/5 - 2*z**4/5 + 6*z**3/5 + 4*z**2/5 - 13*z/5 + 6/5.
-(z - 1)**3*(z + 2)*(z + 3)/5
What is g in 3*g**4/4 + 69*g**3/2 + 1287*g**2/4 + 543*g + 255 = 0?
-34, -10, -1
Factor v**2 + 44*v - 45.
(v - 1)*(v + 45)
Let 2*q**3 + 4*q**2 - 22*q - 24 = 0. Calculate q.
-4, -1, 3
Solve -4*p**3/5 - 11564*p**2/5 - 46208*p/5 - 46192/5 = 0 for p.
-2887, -2
Determine y, given that -4*y**3 + 76*y**2 - 392*y + 320 = 0.
1, 8, 10
Factor -3*q**5/2 - 24*q**4 - 105*q**3 + 150*q**2 + 4125*q/2 + 3750.
-3*(q - 4)*(q + 5)**4/2
Factor z**4/4 - 39*z**3/2 - 60*z**2 - 121*z/2 - 81/4.
(z - 81)*(z + 1)**3/4
Factor -5*n**2/2 - 1285*n/2.
-5*n*(n + 257)/2
Factor c**3/6 - 127*c**2/6 + 1984*c/3 + 2048/3.
(c - 64)**2*(c + 1)/6
Let i**2/3 - 7*i = 0. Calculate i.
0, 21
Factor 2*d**2 + 32*d + 30.
2*(d + 1)*(d + 15)
Factor 6*f**4/5 - 54*f**3/5.
6*f**3*(f - 9)/5
Factor -2*f**2/3 + 304*f/3 - 768.
-2*(f - 144)*(f - 8)/3
Factor 2*t**5/9 - 64*t**4/9 + 20*t**3 - 176*t**2/9 + 58*t/9.
2*t*(t - 29)*(t - 1)**3/9
Factor -m**3/8 + 7*m**2/8 + 15*m/4.
-m*(m - 10)*(m + 3)/8
What is s in 6*s**5 - 4*s**4 - 12*s**3 + 8*s**2 + 6*s - 4 = 0?
-1, 2/3, 1
Factor 4*z**4 - 20*z**3 + 4*z**2 + 84*z - 72.
4*(z - 3)**2*(z - 1)*(z + 2)
Factor 4*f**2 - 472*f + 13600.
4*(f - 68)*(f - 50)
Factor -y**4 + 28*y**3 - 25*y**2 - 54*y.
-y*(y - 27)*(y - 2)*(y + 1)
Determine j so that -3*j**2/8 + 387*j/8 - 48 = 0.
1, 128
Determine t so that t**5/4 + 45*t**4/8 + 41*t**3 + 801*t**2/8 + 81*t/2 = 0.
-9, -4, -1/2, 0
Determine j, given that -3*j**5 - 15*j**4 - 21*j**3 - 9*j**2 = 0.
-3, -1, 0
Factor -4*c**3 + 1776*c**2 - 193536*c - 802816.
-4*(c - 224)**2*(c + 4)
Let 4*y**3 + 220*y**2 + 3328*y + 8112 = 0. Calculate y.
-26, -3
Factor -j**4/7 - 198*j**3/7 + 400*j**2/7.
-j**2*(j - 2)*(j + 200)/7
Factor -t**2/7 + 104*t/7 - 2704/7.
-(t - 52)**2/7
Find o, given that 6*o**5 - 38*o**4 + 38*o**3 + 86*o**2 - 44*o - 48 = 0.
-1, -2/3, 1, 3, 4
Factor -2*q**3/7 - 284*q**2.
-2*q**2*(q + 994)/7
Determine k, given that 2*k**3 - 122*k**2 + 670*k - 550 = 0.
1, 5, 55
Determine l so that -4*l**3 - 376*l**2 + 380*l = 0.
-95, 0, 1
Factor v**3/5 - 133*v**2/5 - 165*v - 1251/5.
(v - 139)*(v + 3)**2/5
Factor -4*v**5/3 - 13*v**4/3 - 5*v**3 - 7*v**2/3 - v/3.
-v*(v + 1)**3*(4*v + 1)/3
Determine p so that -p**2/10 - 207*p/10 - 41 = 0.
-205, -2
Factor -a**4/3 + a**3/3 + 8*a**2/3 - 4*a.
-a*(a - 2)**2*(a + 3)/3
Factor -2*o**4 - 70*o**3 - 256*o**2 - 248*o.
-2*o*(o + 2)**2*(o + 31)
Factor -5*y**3 - 360*y**2 - 6825*y - 12250.
-5*(y + 2)*(y + 35)**2
Let -362*d**2 - 1084*d + 6 = 0. What is d?
-3, 1/181
Determine v so that -v**2 - 31*v + 32 = 0.
-32, 1
Factor -2*g**5/7 - 24*g**4/7 - 22*g**3/7.
-2*g**3*(g + 1)*(g + 11)/7
Factor p**3 + 12*p**2.
p**2*(p + 12)
Suppose 21*w**4/4 + 45*w**3/2 - 57*w**2 - 18*w = 0. What is w?
-6, -2/7, 0, 2
Suppose 3*x**3/4 - 9*x**2 + 36*x - 48 = 0. What is x?
4
Factor a**3 + 960*a**2 + 959*a.
a*(a + 1)*(a + 959)
Determine f so that -f**4/7 + 3*f**3/7 + 24*f**2/7 - 80*f/7 = 0.
-5, 0, 4
Let 5*z**3/4 - 67*z**2 - 383*z/4 - 55/2 = 0. What is z?
-1, -2/5, 55
Factor 3*z**4/5 + 36*z**3/5 + 63*z**2/5 + 6*z.
3*z*(z + 1)**2*(z + 10)/5
Factor 2*f**3 + 192*f**2 + 558*f.
2*f*(f + 3)*(f + 93)
Suppose 3*l**5/7 + 27*l**4/7 + 75*l**3/7 + 81*l**2/7 + 30*l/7 = 0. What is l?
-5, -2, -1, 0
Find q such that 15*q**3 - 2*q**2 - 15*q + 2 = 0.
-1, 2/15, 1
Solve -3*z**2/5 + 144*z/5 - 141/5 = 0.
1, 47
Solve f**2/5 + 88*f/5 - 36 = 0 for f.
-90, 2
Let 2*y**5/9 + 22*y**4/9 - 196*y**3/9 + 148*y**2/9 + 194*y/9 - 170/9 = 0. What is y?
-17, -1, 1, 5
Factor 3*f**2/7 - 612*f + 4281/7.
3*(f - 1427)*(f - 1)/7
Factor 5*a**2 + 5130*a - 5135.
5*(a - 1)*(a + 1027)
Factor 2*y**3/17 - 3402*y**2/17 + 1928934*y/17 - 364568526/17.
2*(y - 567)**3/17
Factor -w**5 - 18*w**4 + 106*w**3 - 200*w**2 + 159*w - 46.
-(w - 2)*(w - 1)**3*(w + 23)
Let -5*o**5 + 45*o**4 - 520*o**2 - 240*o + 720 = 0. What is o?
-2, 1, 6
Factor 4*n**3/3 + 12*n**2 + 56*n/3 - 32.
4*(n - 1)*(n + 4)*(n + 6)/3
Solve 2*y**5 - 18*y**4 - 26*y**3 + 50*y**2 + 96*y + 40 = 0.
-1, 2, 10
Suppose 3*d**2 - 72*d + 69 = 0. What is d?
1, 23
Determine y so that -4*y**3 - 144*y**2 - 492*y + 640 = 0.
-32, -5, 1
Factor -64*f**3 - 32*f**2 - 4*f.
-4*f*(4*f + 1)**2
Let 2*k**5/9 + 28*k**4/9 + 34*k**3/9 - 160*k**2/9 + 32*k/3 = 0. What is k?
-12, -4, 0, 1
Find r such that -4*r**3/3 - 5776*r**2/3 - 2090900*r/3 - 4158728/3 = 0.
-721, -2
Factor -1167051*d**5 - 2286141*d**4 - 1071786*d**3 + 46650*d**2 - 651*d + 3.
-3*(d + 1)**2*(73*d - 1)**3
Solve -4*c**3 - 12*c**2 + 36*c - 20 = 0.
-5, 1
Suppose -4*d**2/7 - 92*d/7 - 304/7 = 0. What is d?
-19, -4
Factor -v**3/4 - 5*v**2/4 - 3*v/2.
-v*(v + 2)*(v + 3)/4
Factor 2*x**4/13 + 24*x**3/13 + 22*x**2/13.
2*x**2*(x + 1)*(x + 11)/13
Factor 2*g**3 + 22*g**2 - 152*g + 128.
2*(g - 4)*(g - 1)*(g + 16)
What is c in -c**2/8 - 545*c/4 + 273 = 0?
-1092, 2
Factor t**3/2 - 36*t**2 - 309*t/2 + 190.
(t - 76)*(t - 1)*(t + 5)/2
Let -3*o**2/7 + 9*o/7 + 12/7 = 0. What is o?
-1, 4
Determine x, given that 4*x**5 + 180*x**4 + 1792*x**3 + 7248*x**2 + 12928*x + 8448 = 0.
-33, -4, -2
What is g in 4*g**3 - 324*g**2 + 6720*g - 6400 = 0?
1, 40
Let -4*k**2/11 + 6658*k/11 - 3328/11 = 0. What is k?
1/2, 1664
Factor w**2/5 - 58*w/5 + 552/5.
(w - 46)*(w - 12)/5
Factor -j**4/6 + 25*j**3/6 - 63*j**2/2 + 407*j/6 - 121/3.
-(j - 11)**2*(j - 2)*(j - 1)/6
Determine t, given that -4*t**3/7 + 516*t**2/7 - 18300*t/7 + 14884 = 0.
7, 61
Factor -27*p**2/4 + 69*p/4 - 21/2.
-3*(p - 1)*(9*p - 14)/4
Solve -w**4 + 7*w**3 + 5*w**2 - 75*w = 0.
-3, 0, 5
Let -32*y**5/7 - 80*y**4/7 + 18*y**3 + 268*y**2/7 + 106*y/7 + 12/7 = 0. What is y?
-3, -1, -1/4, 2
Find n such that n**5/3 - 4*n**4 + 7*n**3/3 + 16*n**2 - 44*n/3 = 0.
-2, 0, 1, 2, 11
Determine k, given that 3*k**3 - 143*k**2/3 - 169*k/3 - 17/3 = 0.
-1, -1/9, 17
Factor -2*i**3 + 32*i**2 - 166*i + 280.
-2*(i - 7)*(i - 5)*(i - 4)
Suppose -b**3/5 + 8*b**2/5 + 4*b/5 - 32/5 = 0. Calculate b.
-2, 2, 8
Let 2*j**2/9 - 386*j/9 - 644 = 0. Calculate j.
-14, 207
Factor -14*m**5/9 + 80*m**4/9 - 16*m**3 + 64*m**2/9 + 32*m/9.
-2*m*(m - 2)**3*(7*m + 2)/9
Suppose 2*j**3/9 + 2*j**2/9 - 2*j/9 - 2/9 = 0. What is j?
-1, 1
Determine t, given that -30*t**2 - 3*t = 0.
-1/10, 0
Factor 3*u**3 - 39*u**2 - 459*u - 945.
3*(u - 21)*(u + 3)*(u + 5)
Solve -8*b**2 + 6638*b + 1660 = 0 for b.
-1/4, 830
Factor r**3/2 + 15*r**2/2 + 24*r - 32.
(r - 1)*(r + 8)**2/2
Solve b**4/6 + 7*b**3/2 + 37*b**2/6 - 7*b/2 - 19/3 = 0.
-19, -2, -1, 1
Factor -2*h**2/13 - 20*h/13.
-2*h*(h + 10)/13
Solve l**3/4 + 3*l**2 + 9*l/4 - 11/2 = 0 for l.
-11, -2, 1
Factor h**2/4 - 13*h/4 + 15/2.
(h - 10)*(h - 3)/4
Factor k**4 + k**3/3 - 8*k**2/3 + 4*k/3.
k*(k - 1)*(k + 2)*(3*k - 2)/3
Factor 2*w**5/5 + 18*w**4 + 1056*w**3/5 + 968*w**2/5.
2*w**2*(w + 1)*(w + 22)**2/5
Factor -3*f**5 - 6*f**4 + 27*f**3 + 66*f**2 - 12*f - 72.
-3*(f - 3)*(f - 1)*(f + 2)**3
Factor 5*g**3/3 - 86*g**2 + 132*g + 200/3.
(g - 50)*(g - 2)*(5*g + 2)/3
Solve f**5 - 4*f**4 - 20*f**3 - 10*f**2 + 19*f + 14 = 0.
-2, -1, 1, 7
Factor -3*q**2/8 - 15*q/4 - 6.
-3*(q + 2)*(q + 8)/8
Determine u, given that 4*u**2 + 23744*u - 23748 = 0.
-5937, 1
Find v, given that -125*v**5 + 50*v**4 + 3370*v**3 - 8100*v**2 + 2835*v - 270 = 0.
-6, 1/5, 3
Factor -3*w**3/2 - 2601