Factor 2*q**2/19 - 1104*q/19 + 152352/19.
2*(q - 276)**2/19
Suppose -9*u**3 - 412*u**2 - 4669*u + 1058 = 0. Calculate u.
-23, 2/9
Factor -7225*y**5/3 - 680*y**4 - 48*y**3.
-y**3*(85*y + 12)**2/3
Factor -f**2/2 - 311*f/2 - 309.
-(f + 2)*(f + 309)/2
Factor 2*v**3/21 - 82*v**2/7 - 248*v/21.
2*v*(v - 124)*(v + 1)/21
Find b such that 4*b**4 - 172*b**3 - 12*b**2 + 524*b - 344 = 0.
-2, 1, 43
Find z, given that -3*z**2/5 - 24*z/5 - 21/5 = 0.
-7, -1
Let 2*n**4/3 - 28*n**3 + 170*n**2 - 700*n/3 = 0. What is n?
0, 2, 5, 35
Factor -3*h**4 + 42*h**3 - 180*h**2 + 216*h.
-3*h*(h - 6)**2*(h - 2)
Factor -3*v**3 - 3309*v**2 - 914109*v - 910803.
-3*(v + 1)*(v + 551)**2
Factor -3*k**2 + 12*k - 12.
-3*(k - 2)**2
Factor -3*y**4/4 - 33*y**3/4 - 81*y**2/4 - 75*y/4 - 6.
-3*(y + 1)**3*(y + 8)/4
Solve -t**5/4 + 25*t**4/2 + 211*t**3/4 + 67*t**2 + 27*t = 0 for t.
-2, -1, 0, 54
Let -3*n**2 - 15*n - 12 = 0. Calculate n.
-4, -1
Factor q**5/3 - 178*q**4 + 95582*q**3/3 - 1942752*q**2 + 5607891*q - 3696822.
(q - 177)**3*(q - 2)*(q - 1)/3
Find z such that -5*z**4 - 30*z**3 + 35*z**2 = 0.
-7, 0, 1
What is s in 2*s**3/3 - 248*s**2/3 - 250*s/3 = 0?
-1, 0, 125
Solve 3*v**2/4 + 9*v + 27 = 0.
-6
Factor -w**2/7 - 3*w + 46/7.
-(w - 2)*(w + 23)/7
Find m, given that 5*m**4 + 5*m**3 - 135*m**2 - 405*m - 270 = 0.
-3, -1, 6
Solve l**2 + 2*l = 0 for l.
-2, 0
Factor 5*s**3 - 560*s**2 + 15105*s + 32490.
5*(s - 57)**2*(s + 2)
Factor -3*h**4 - 42*h**3 - 123*h**2 + 168*h.
-3*h*(h - 1)*(h + 7)*(h + 8)
Suppose -3*n**5 + 144*n**4 - 1728*n**3 = 0. Calculate n.
0, 24
Factor -5*f**4 - 40*f**3 + 45*f**2.
-5*f**2*(f - 1)*(f + 9)
Factor -3*m**3/4 - 9*m**2/4 + 3.
-3*(m - 1)*(m + 2)**2/4
Suppose c**5 + 7*c**4 + 12*c**3 - 4*c**2 - 16*c = 0. What is c?
-4, -2, 0, 1
What is u in 5*u**4 + 35*u**3 + 85*u**2 + 85*u + 30 = 0?
-3, -2, -1
Let -10*y**2/3 - 89*y/3 - 14 = 0. What is y?
-42/5, -1/2
Let -5*q**5 + 105*q**3 - 100*q**2 = 0. What is q?
-5, 0, 1, 4
Let -12*j**5 + 104*j**4 - 280*j**3 + 336*j**2 - 188*j + 40 = 0. Calculate j.
2/3, 1, 5
Find a, given that -3*a**4 - 339*a**3 + 12*a**2 + 1356*a = 0.
-113, -2, 0, 2
Find y, given that -y**3 + 14*y**2 - 35*y + 22 = 0.
1, 2, 11
Find j, given that -2*j**2 - 258*j + 524 = 0.
-131, 2
Solve -2*d**5/13 - 4*d**4/13 + 128*d**3/13 + 4*d**2/13 - 126*d/13 = 0.
-9, -1, 0, 1, 7
What is q in -35*q**4 - 4630*q**3 - 14935*q**2 - 12920*q - 2580 = 0?
-129, -2, -1, -2/7
Factor 5*h**3 - 20*h**2 - 20*h + 80.
5*(h - 4)*(h - 2)*(h + 2)
Solve 3*k**5 + 1119*k**4 + 101511*k**3 - 529011*k**2 + 642978*k = 0 for k.
-189, 0, 2, 3
Suppose 2*y**4/11 + 170*y**3/11 + 800*y**2/11 = 0. Calculate y.
-80, -5, 0
Factor -2*c**2/9 + 292*c/9 - 10658/9.
-2*(c - 73)**2/9
Factor -2*y**3/7 + 12*y**2/7 - 64/7.
-2*(y - 4)**2*(y + 2)/7
Factor -3*b**3 - 24*b**2 + 537*b - 1710.
-3*(b - 6)*(b - 5)*(b + 19)
Factor f**4 - 30*f**3 + 313*f**2 - 1320*f + 1936.
(f - 11)**2*(f - 4)**2
Determine z, given that 200*z**4/11 + 6110*z**3/11 + 3292*z**2/11 - 248*z/11 - 240/11 = 0.
-30, -2/5, 1/4
Factor u**3 + 5*u**2/2 + u.
u*(u + 2)*(2*u + 1)/2
Factor -u**3/4 - 37*u**2/4.
-u**2*(u + 37)/4
Factor -3*u**4 + 39*u**3 - 144*u**2 + 204*u - 96.
-3*(u - 8)*(u - 2)**2*(u - 1)
Factor 5*s**5 + 90*s**4 + 185*s**3 - 1980*s**2 + 2420*s.
5*s*(s - 2)**2*(s + 11)**2
Let -2*t**3/3 + 862*t**2/3 - 93310*t/3 + 92450/3 = 0. Calculate t.
1, 215
Factor 3*r**3 - 27*r**2.
3*r**2*(r - 9)
Suppose -70*h**2 - 139*h/2 + 1/2 = 0. Calculate h.
-1, 1/140
Suppose -x**3/3 + 6*x**2 - 27*x = 0. Calculate x.
0, 9
Solve 3*f**2 - 264*f + 5808 = 0.
44
Find w such that 2*w**3 + 26*w**2 - 268*w + 240 = 0.
-20, 1, 6
Find k such that 9*k**5/8 + 12*k**4 + 307*k**3/8 + 53*k**2/2 - 38*k - 40 = 0.
-5, -4, -4/3, 1
Solve 3*l**4 - 54*l**3 + 135*l**2 + 12*l - 180 = 0.
-1, 2, 15
Factor 3*n**3 - 21*n**2 - 3*n + 21.
3*(n - 7)*(n - 1)*(n + 1)
Factor 2*x**2/21 + 664*x/21 + 55112/21.
2*(x + 166)**2/21
Solve -4*h**2 + 100*h - 96 = 0 for h.
1, 24
Suppose -4*a**2 + 1088*a - 73984 = 0. Calculate a.
136
Find m, given that 2*m**2/15 - 46*m/15 + 44/15 = 0.
1, 22
Factor -2*l**3/7 - 524*l**2/7 - 34322*l/7.
-2*l*(l + 131)**2/7
Suppose -4*n**2/7 + 1052*n/7 + 5360/7 = 0. Calculate n.
-5, 268
Solve 2*x**5/5 + 6*x**4 - 144*x**3/5 - 2592*x**2/5 = 0.
-12, 0, 9
Factor -3*w**4/5 - 36*w**3/5 - 87*w**2/5 - 54*w/5.
-3*w*(w + 1)*(w + 2)*(w + 9)/5
Factor -5*w**2 - 155*w + 7000.
-5*(w - 25)*(w + 56)
Find q, given that -q**4/2 + 15*q**3 - 253*q**2/2 + 210*q - 98 = 0.
1, 14
Let p**5/4 + 67*p**4/2 - p**3/4 - 67*p**2/2 = 0. What is p?
-134, -1, 0, 1
Factor b**4/2.
b**4/2
Let 3*g**2/5 - 6*g - 168/5 = 0. What is g?
-4, 14
Factor 2*b**2/13 + 29600*b/13 + 109520000/13.
2*(b + 7400)**2/13
Factor 2*l**5/5 + 12*l**4/5 + 2*l**3/5 - 48*l**2/5 + 32*l/5.
2*l*(l - 1)**2*(l + 4)**2/5
Factor 3*q**3 + 2682*q**2 + 799236*q + 79390776.
3*(q + 298)**3
Suppose -2*j**2/13 + 14*j/13 - 24/13 = 0. Calculate j.
3, 4
Factor -4*a**3 + 384*a**2 - 12288*a + 131072.
-4*(a - 32)**3
Let 2*s**3/13 + 2*s**2/13 - 4*s/13 = 0. Calculate s.
-2, 0, 1
Let 3*r**2 + 39*r + 36 = 0. Calculate r.
-12, -1
Factor y**4/6 - 35*y**3/6 + 47*y**2 - 416*y/3 + 400/3.
(y - 25)*(y - 4)**2*(y - 2)/6
Determine d, given that -d**4/10 - d**3/5 + d**2/10 + d/5 = 0.
-2, -1, 0, 1
Factor 4*x**4 - 9*x**3 + 6*x**2 - x.
x*(x - 1)**2*(4*x - 1)
Find b, given that 4*b**3/3 + 28*b**2/3 + 20*b + 12 = 0.
-3, -1
Suppose -q**2/8 - 9*q/2 - 81/2 = 0. What is q?
-18
What is n in 2*n**2/17 - 176*n/17 + 3872/17 = 0?
44
Suppose -4*o**4 + 28*o**3 + 124*o**2 - 28*o - 120 = 0. What is o?
-3, -1, 1, 10
Factor -5*i**4 - 25*i**3 + 10*i**2 + 120*i.
-5*i*(i - 2)*(i + 3)*(i + 4)
Determine j so that -j**5/2 + 27*j**3/2 - 25*j**2 + 12*j = 0.
-6, 0, 1, 4
Solve -3*y**5 - 117*y**4 - 1674*y**3 - 10086*y**2 - 17523*y + 29403 = 0 for y.
-11, -9, 1
Solve -3*j**5 + 288*j**4 - 1122*j**3 + 1668*j**2 - 1107*j + 276 = 0.
1, 92
Factor -b**3/5 + 9*b**2/5.
-b**2*(b - 9)/5
Determine l, given that -3*l**2/7 - 72*l/7 + 75/7 = 0.
-25, 1
Suppose -5*i**3 - 350*i**2 + 5*i + 350 = 0. Calculate i.
-70, -1, 1
Factor -4*n**3 + 48*n**2 - 140*n.
-4*n*(n - 7)*(n - 5)
Factor 2*x**4/3 - 20*x**3/3 + 58*x**2/3 - 64*x/3 + 8.
2*(x - 6)*(x - 2)*(x - 1)**2/3
Suppose 4*n**2 - 524*n + 520 = 0. Calculate n.
1, 130
Factor 2*f**2 + 12*f - 144.
2*(f - 6)*(f + 12)
Factor -2*a**3/3 - 8*a**2 - 32*a - 128/3.
-2*(a + 4)**3/3
Let -3*b**3/7 + 36*b**2/7 - 9*b - 42 = 0. Calculate b.
-2, 7
Let 2*d**2/11 + 96*d = 0. What is d?
-528, 0
Factor 2*y**2 + 16896*y + 35684352.
2*(y + 4224)**2
Let 2*i**5/13 + 128*i**4/13 - 132*i**3/13 - 128*i**2/13 + 10*i = 0. What is i?
-65, -1, 0, 1
Factor 4*m**3/9 + 68*m**2/9 + 128*m/3 + 80.
4*(m + 5)*(m + 6)**2/9
Let 76*h**5 + 24*h**4 - 76*h**3 - 24*h**2 = 0. What is h?
-1, -6/19, 0, 1
Suppose 3*w**4/7 + 74*w**3/7 + 452*w**2/7 + 246*w/7 - 135/7 = 0. Calculate w.
-15, -9, -1, 1/3
Factor 5*m**2 + 1820*m + 165620.
5*(m + 182)**2
Find d, given that 2*d**2/5 + 116*d/5 - 1846/5 = 0.
-71, 13
Suppose -2*b**3/3 + 4*b**2 - 10*b/3 = 0. What is b?
0, 1, 5
Factor -i**3 - 21*i**2 - 144*i - 324.
-(i + 6)**2*(i + 9)
Factor 3*k**4/5 - 3*k**2/5.
3*k**2*(k - 1)*(k + 1)/5
Suppose -3*h**4/5 + 21*h**3/5 + 3*h**2 - 45*h = 0. What is h?
-3, 0, 5
Factor -2*j**2/9 - 130*j.
-2*j*(j + 585)/9
Factor -3*k**3 + 114*k**2 + 363*k + 246.
-3*(k - 41)*(k + 1)*(k + 2)
Let -4*n**2/13 + 586*n/13 - 292/13 = 0. Calculate n.
1/2, 146
Solve o**3/5 - 12*o**2/5 - o/5 + 12/5 = 0.
-1, 1, 12
Factor -u**2/7 - 16*u/7 - 64/7.
-(u + 8)**2/7
Factor 6*f**3/5 - 918*f**2/5 + 27216*f/5 + 127008.
6*(f - 84)**2*(f + 15)/5
Solve -33*b**4 + 16791*b**3 - 2125941*b**2 - 2532915*b - 390150 = 0 for b.
-1, -2/11, 255
Find y such that 750*y**5 - 47750*y**4 + 806960*y**3 - 1470192*y**2 - 12320*y + 189728 = 0.
-1/3, 2/5, 2, 154/5
Let -5*x**5 - 48*x**4 + 135*x**3 - 106*x**2 + 24*x = 0. Calculate x.
-12, 0, 2/5, 1
Solve -2*m**3 + 22*m**2 + 50*m + 26 = 0.
-1, 13
Factor -3*s**2 - 342*s - 9747.
-3*(s + 57)**2
What is p in -p**3/5 - 62*p**2/5 - 79*p - 110 = 0?
-55, -5, -2
Determine f, given that -f**3/4 - 991*f**2/4 + 1985*f/4 - 993/4 = 0.
-993, 1
Suppose -7*i**4 - 471*i**3 + 342*i**2 + 136*i = 0. What is i?
-68, -2/7, 0, 1
Suppose -6*h**4 - 951*h**3 - 2343*h**2 - 462*h + 936 = 0. What is h?
-156, -2, -1, 1/2
Factor -2*j**4/7 - 3548*j**3/7 - 1577082*j**2/7 - 3143528*j/7 - 1569992/7.
-2*(j + 1)**2*(j +