*4/19 + 5042*d**3/19 + 43380*d**2/19 - 5400*d + 54000/19 = 0?
-30, 1
Factor -5*w**4 - 355*w**3 + 370*w**2 + 720*w.
-5*w*(w - 2)*(w + 1)*(w + 72)
Determine h, given that 5*h**5/4 - 105*h**4/4 + 345*h**3/2 - 745*h**2/2 + 1305*h/4 - 405/4 = 0.
1, 9
Suppose -i**3/2 + 29*i**2 + 59*i/2 = 0. What is i?
-1, 0, 59
Find j such that 2*j**2/9 - 206*j/9 + 68/3 = 0.
1, 102
Factor k**3/4 - 7*k**2/4 - 17*k/4 - 9/4.
(k - 9)*(k + 1)**2/4
Factor -4*o**5 - 8*o**4 + 48*o**3 + 152*o**2 + 148*o + 48.
-4*(o - 4)*(o + 1)**3*(o + 3)
Factor -3*a**2/7 - 4020*a/7 - 4017/7.
-3*(a + 1)*(a + 1339)/7
Let -3*s**3 + 123*s**2 - 732*s - 1980 = 0. Calculate s.
-2, 10, 33
Factor -2*p**2 + 50*p - 48.
-2*(p - 24)*(p - 1)
Factor -3*i**4 + 22740*i**3 - 64638450*i**2 + 81659908500*i - 38686381651875.
-3*(i - 1895)**4
Factor -q**4/5 + 16*q**3/5 - 51*q**2/5 + 36*q/5.
-q*(q - 12)*(q - 3)*(q - 1)/5
Determine g, given that -2*g**2 - 38*g = 0.
-19, 0
Find x such that 36*x**4/5 - 744*x**3 - 26768*x**2/5 + 40608*x/5 - 2816 = 0.
-8, 2/3, 110
Let 100*v**4 - 5320*v**3 - 9804*v**2 - 5264*v - 880 = 0. What is v?
-1, -2/5, 55
Solve -27*d**4 - 21*d**3 + 60*d**2 - 12*d = 0 for d.
-2, 0, 2/9, 1
Factor u**2 + 344*u - 1041.
(u - 3)*(u + 347)
Suppose 2*k**3/7 + 104*k**2/7 - 2*k/7 - 104/7 = 0. Calculate k.
-52, -1, 1
Factor 2*h**5/9 + 4*h**4/3 - 4*h**3/3 - 56*h**2/9 + 10*h - 4.
2*(h - 1)**3*(h + 3)*(h + 6)/9
Factor 39*w**3 - 60*w**2 - 153*w - 54.
3*(w - 3)*(w + 1)*(13*w + 6)
What is u in -2*u**2/13 - 10*u/13 + 252/13 = 0?
-14, 9
Factor -2*g**2/7 - 10*g/7 + 48/7.
-2*(g - 3)*(g + 8)/7
Factor -2*d**4/3 + 2*d**3 + 4*d**2 - 16*d/3.
-2*d*(d - 4)*(d - 1)*(d + 2)/3
Factor 5*u**2 - 180*u + 1215.
5*(u - 27)*(u - 9)
Factor -3*j**2 + 240*j - 237.
-3*(j - 79)*(j - 1)
Factor -3*b**4 + 30*b**3 - 84*b**2 + 18*b + 135.
-3*(b - 5)*(b - 3)**2*(b + 1)
Suppose 4*v**4 + 12*v**3 = 0. Calculate v.
-3, 0
Determine v so that -3*v**4/2 - 51*v**3/2 - 153*v**2/2 + 471*v/2 - 132 = 0.
-11, -8, 1
Solve 2*g**4 - 2*g**3 - 62*g**2 - 142*g - 84 = 0 for g.
-3, -2, -1, 7
Let 125*s**5/2 - 4525*s**4/2 + 12030*s**3 - 12304*s**2 + 4640*s - 600 = 0. What is s?
2/5, 5, 30
Determine q so that -2*q**2 + 16*q - 32 = 0.
4
Factor 3*s**2/4 + 45*s/2 + 87/4.
3*(s + 1)*(s + 29)/4
Factor -2*f**4/3 + 96*f**3 - 828*f**2 + 2448*f - 2430.
-2*(f - 135)*(f - 3)**3/3
Factor 2*o**4/9 - 4*o**3/9 - 22*o**2/9 + 8*o/3.
2*o*(o - 4)*(o - 1)*(o + 3)/9
Factor -5*m**4 - 10*m**3 + 10*m + 5.
-5*(m - 1)*(m + 1)**3
Determine v so that -v**5/2 + 59*v**4 - 231*v**3 + 344*v**2 - 457*v/2 + 57 = 0.
1, 114
Factor 2*b**3 + 18*b**2 + 22*b - 42.
2*(b - 1)*(b + 3)*(b + 7)
Find a such that 2*a**2/15 + 2*a/15 - 4/5 = 0.
-3, 2
Suppose z**5/7 + 24*z**4/7 + 64*z**3/7 + 18*z**2/7 - 65*z/7 - 6 = 0. What is z?
-21, -2, -1, 1
Factor -4*w**3/3 - 92*w**2/3 + 16*w/3 + 368/3.
-4*(w - 2)*(w + 2)*(w + 23)/3
Find h such that 5*h**4 - 1040*h**3 + 51960*h**2 + 220480*h + 224720 = 0.
-2, 106
Find t such that -3*t**3 + 135*t**2 - 501*t + 369 = 0.
1, 3, 41
Find y such that -2*y**3/5 - 4*y**2/5 + 2*y/5 + 4/5 = 0.
-2, -1, 1
Factor n**5/4 + 3*n**4/4 + n**3/4 - 3*n**2/4 - n/2.
n*(n - 1)*(n + 1)**2*(n + 2)/4
What is k in -16*k**2 + 92*k - 132 = 0?
11/4, 3
Solve -p**2 + 447*p - 446 = 0.
1, 446
Find g, given that -8*g**5/9 + 104*g**4/3 - 1294*g**3/3 + 13880*g**2/9 + 5650*g/3 + 500 = 0.
-1/2, 10, 15
Suppose 6*b**5 + 38*b**4 - 76*b**3 + 32*b**2 = 0. Calculate b.
-8, 0, 2/3, 1
Let b**4/8 - 265*b**3/8 + 2211*b**2 - 2178*b = 0. What is b?
0, 1, 132
Factor 3*x**2/5 - 12*x - 132/5.
3*(x - 22)*(x + 2)/5
Let -d**3 + 13*d**2 - 23*d + 11 = 0. Calculate d.
1, 11
Solve -w**3/2 + 43*w**2/4 - 217*w/4 + 49/2 = 0 for w.
1/2, 7, 14
Factor -u**5 - 19*u**4 - 123*u**3 - 337*u**2 - 376*u - 144.
-(u + 1)**2*(u + 4)**2*(u + 9)
Let 2*x**2/11 + 1766*x/11 - 1768/11 = 0. Calculate x.
-884, 1
Suppose 4*t**4 + 32*t**3 + 72*t**2 - 108 = 0. What is t?
-3, 1
Factor 4*b**2/9 - 2*b/9 - 56/9.
2*(b - 4)*(2*b + 7)/9
Determine w so that 5*w**3 - 2510*w**2 + 5005*w - 2500 = 0.
1, 500
Find p such that 30*p**4/11 - 14*p**3 + 200*p**2/11 - 24*p/11 = 0.
0, 2/15, 2, 3
Solve 2*i**5/15 - 2*i**4/15 - 2*i**3/15 + 2*i**2/15 = 0 for i.
-1, 0, 1
Factor 15*o**3 + 354*o**2 - 4599*o + 1782.
3*(o - 9)*(o + 33)*(5*o - 2)
Determine k so that 3*k**4 - 69*k**3 - 681*k**2 + 1557*k - 810 = 0.
-9, 1, 30
Factor 4*t**3/7 + 36*t**2/7 + 8*t.
4*t*(t + 2)*(t + 7)/7
Factor k**5 - 38*k**4 + 466*k**3 - 1612*k**2 - 3211*k + 4394.
(k - 13)**3*(k - 1)*(k + 2)
Solve 4*u**2/3 - 80*u/3 + 48 = 0 for u.
2, 18
Solve -3*u**5 + 25*u**4 - 54*u**3 + 32*u**2 = 0.
0, 1, 2, 16/3
Factor 2*i**5/7 + 2*i**4 - 106*i**3/7 - 342*i**2/7 + 2592*i/7 - 3456/7.
2*(i - 3)**3*(i + 8)**2/7
Factor 3*u**2 - 1020*u + 86700.
3*(u - 170)**2
Find d, given that -d**2/3 + 43*d + 262/3 = 0.
-2, 131
Suppose -b**2/2 + 27*b/2 - 25 = 0. Calculate b.
2, 25
Find m, given that m**5/5 + m**4 + 4*m**3/5 = 0.
-4, -1, 0
Determine z so that -2*z**3/15 + 6*z**2/5 - 8*z/3 = 0.
0, 4, 5
Factor 50*y**4/13 + 1990*y**3/13 + 1568*y**2/13 + 24*y.
2*y*(y + 39)*(5*y + 2)**2/13
Factor 113*a**4 - 340*a**3 + 342*a**2 - 116*a + 1.
(a - 1)**3*(113*a - 1)
Suppose -3*l**4/2 + 9*l**3 + 81*l**2/2 = 0. What is l?
-3, 0, 9
Solve -4*w**3/7 - 55028*w**2/7 - 189282560*w/7 - 189227536/7 = 0 for w.
-6878, -1
Find i such that i**2/2 - 59*i - 119/2 = 0.
-1, 119
Factor -5*w**5 - 55*w**4 - 200*w**3 - 240*w**2.
-5*w**2*(w + 3)*(w + 4)**2
Factor -b**5/3 - 154*b**4/3 - 200*b**3.
-b**3*(b + 4)*(b + 150)/3
Factor -3*b**5/7 + 60*b**4/7 - 30*b**3 + 300*b**2/7 - 195*b/7 + 48/7.
-3*(b - 16)*(b - 1)**4/7
Suppose z**3/8 - 3*z**2/8 - 5*z/4 = 0. What is z?
-2, 0, 5
Determine q, given that 10*q**5 + 15*q**4 - 20*q**3 - 15*q**2 + 10*q = 0.
-2, -1, 0, 1/2, 1
Factor -5*t**2 - 6150*t - 1891125.
-5*(t + 615)**2
Factor 2*o**2/13 - 64*o/13 + 120/13.
2*(o - 30)*(o - 2)/13
Suppose 6*o**5 - 135*o**4 + 4323*o**3/8 + 1467*o**2/4 - 2211*o/8 + 153/4 = 0. Calculate o.
-1, 1/4, 6, 17
Factor -a**3/6 + 62*a**2/3 - 5029*a/6 + 11045.
-(a - 47)**2*(a - 30)/6
Let -2*z**2/5 + 326*z/5 + 996/5 = 0. Calculate z.
-3, 166
Solve 2*c**5/5 - 8*c**4 - 808*c**3/5 + 4572*c**2 - 21330*c - 62100 = 0.
-23, -2, 15
Suppose -2*v**2/21 - 1048*v/7 - 411864/7 = 0. Calculate v.
-786
Solve 136*v**4 - 182*v**3 - 223*v**2 + 89*v - 6 = 0 for v.
-1, 3/34, 1/4, 2
Let -5*g**5/7 - 9*g**4/7 - 4*g**3/7 = 0. What is g?
-1, -4/5, 0
Factor -2*j**2/9 - 500*j/9 + 850/3.
-2*(j - 5)*(j + 255)/9
Find y, given that -25*y**4 + 20*y**3 + 105*y**2 - 80*y - 20 = 0.
-2, -1/5, 1, 2
Solve 12*w**2/11 - 26*w/11 - 30/11 = 0.
-5/6, 3
Determine a, given that 2*a**2 + 3940*a + 1940450 = 0.
-985
Factor -4*v**3 - 508*v**2 - 988*v + 1500.
-4*(v - 1)*(v + 3)*(v + 125)
Factor 10*c**2 - 72*c + 14.
2*(c - 7)*(5*c - 1)
Let 5*c**4 + 185*c**3 + 1615*c**2 - 1805*c = 0. What is c?
-19, 0, 1
Determine m so that -m**2/8 + 401*m/4 - 801/8 = 0.
1, 801
Factor v**2 - 65*v.
v*(v - 65)
Solve v**3 - 40*v**2 - 127*v - 86 = 0.
-2, -1, 43
Solve 20*b**4 + 2372*b**3 + 3748*b**2 + 460*b - 936 = 0.
-117, -1, 2/5
Factor 2*c**3 + 30*c**2 - 144*c + 152.
2*(c - 2)**2*(c + 19)
Suppose -t**2 + 19*t = 0. Calculate t.
0, 19
Determine k so that -k**5 + 7*k**4 + 3*k**3 - 55*k**2 - 50*k = 0.
-2, -1, 0, 5
Find z, given that 3*z**4/2 - 77*z**3/2 + 197*z**2 + 658*z + 196 = 0.
-2, -1/3, 14
Suppose 27*w**4 + 3429*w**3 + 3411*w**2 + 1135*w + 126 = 0. What is w?
-126, -1/3
Factor d**2/2 - 17*d + 33/2.
(d - 33)*(d - 1)/2
Suppose d**4/5 = 0. Calculate d.
0
Suppose 5*s**5 - 15*s**4 - 20*s**3 + 80*s**2 - 80 = 0. What is s?
-2, -1, 2
Factor -2*x**3/5 + 12*x**2/5 + 54*x/5.
-2*x*(x - 9)*(x + 3)/5
Factor -8*z**2/13 + 1810*z/13 - 452/13.
-2*(z - 226)*(4*z - 1)/13
Factor h**3/3 - 467*h**2/3 + 17617*h + 131061.
(h - 237)**2*(h + 7)/3
Suppose -10*y**4 - 26*y**3 + 12*y**2 = 0. Calculate y.
-3, 0, 2/5
Factor -5*i**5 + 15*i**4 - 20*i**2.
-5*i**2*(i - 2)**2*(i + 1)
Find y, given that -y**4/5 - 22*y**3 + 1223*y**2/5 + 2772*y/5 + 288 = 0.
-120, -1, 12
What is w in -5*w**3/3 + 6*w**2 - 19*w/3 + 2 = 0?
3/5, 1, 2
Find a, given that 2*a**5 + 29*a**4/3 - 53*a**3/3 - 64*a**2/3 + 4*a = 0.
-6, -1, 0, 1/6, 2
Let -2*x**5/19 - 100*x**4/19 - 546*x**3/19 - 784*x**2/19 + 376*x/19 + 1056/19 = 0. What is x?
-44, -3, -2, 1
Solve 3*h**2/2 - h/2 - 2 = 0.
-1, 4/3
Suppose -2*u**4/9 + 16*u**3/9 + 28*u**2/9 - 32*u/3 + 6 = 0. Calculate u.
