 1)**2*(o + 1)
Factor 1/3*h**2 - 28*h + 0.
h*(h - 84)/3
Suppose 963*f = 1900*f - 948*f + 33. Let a(l) be the first derivative of 0*l - 8/5*l**5 + 14 + 16/3*l**3 + f*l**4 - 8*l**2 - 2/3*l**6. Factor a(o).
-4*o*(o - 1)**2*(o + 2)**2
Suppose 3*w + 821 = -25. Let s = w - -565/2. Factor 0 + s*h**4 + 0*h**3 + 1/4*h - 1/2*h**2 - 1/4*h**5.
-h*(h - 1)**3*(h + 1)/4
Determine t, given that -80*t**2 + 128 + 40*t**3 + 1/2*t**5 + 0*t - 15/2*t**4 = 0.
-1, 4
Let l(h) be the third derivative of 0 - 1/510*h**6 + 0*h - 5/17*h**4 - 13*h**2 + 12/17*h**3 - 23/510*h**5. Factor l(w).
-2*(w + 6)**2*(2*w - 1)/17
Suppose 0*m**5 + 3451340*m**2 + 959604*m**2 + 492*m**4 - 80688*m**3 - m**5 = 0. Calculate m.
0, 164
Let v be 6/14*12 + -3*16/42. Suppose 24 + 0*b**v - 39/2*b**3 - 24*b**2 + 18*b + 3/2*b**5 = 0. What is b?
-2, -1, 1, 4
Let p be (-6 - -8) + 5 + -3. Suppose -5*n + 10 = -5*t, p*t - 5*n = 6*t - 31. Factor -9/4*v**t + 0 - 3/4*v + 9/4*v**2 + 3/4*v**4.
3*v*(v - 1)**3/4
Let w = -173494/63 + 19295/7. What is v in -7/9*v**5 + 0 + 0*v - 20/9*v**3 - 4/9*v**2 - w*v**4 = 0?
-2, -1, -2/7, 0
Let t = 4779703/19 + -251563. Factor 2/19*m**4 + 0 - 10/19*m**2 + 4/19*m + t*m**3 - 2/19*m**5.
-2*m*(m - 1)**3*(m + 2)/19
Determine t so that -645/4*t**2 + 5280*t - 5120 + 5/4*t**3 = 0.
1, 64
Let w = 851/192 + -177/64. Let s(r) be the first derivative of 0*r + w*r**3 - 5/2*r**4 - 38 + r**5 + 0*r**2. Factor s(d).
5*d**2*(d - 1)**2
Let j(c) be the third derivative of 11*c**7/18900 + c**6/600 - c**5/450 - 3*c**4/4 + 2*c**2 - 30*c. Let w(t) be the second derivative of j(t). Factor w(m).
2*(m + 1)*(11*m - 2)/15
Let z(r) be the first derivative of 5*r**4/4 + 70*r**3 - 435*r**2/2 + 220*r + 64. Suppose z(v) = 0. What is v?
-44, 1
Let x(y) be the first derivative of -y**5/35 - 59*y**4/14 + 120*y**3/7 - 181*y**2/7 + 121*y/7 - 2458. Factor x(n).
-(n - 1)**3*(n + 121)/7
Let c(s) be the second derivative of s**6/30 - s**5/8 + s**4/8 + s**3/6 - 16*s**2 + 3*s - 1. Let g(a) be the second derivative of c(a). Factor g(j).
3*(j - 1)*(4*j - 1)
Let j(m) be the first derivative of -m**3/18 + 581*m**2/12 - 290*m/3 - 8683. Find a such that j(a) = 0.
1, 580
Let b(n) be the first derivative of -n**3/6 + 19*n**2/4 + 46*n + 1130. Factor b(f).
-(f - 23)*(f + 4)/2
Factor -46*q**2 + 60*q**3 - 3*q**4 - 84*q - 2 - 25 - 44*q**2 + 0 - 96*q**3.
-3*(q + 1)**3*(q + 9)
Let k(o) be the third derivative of o**6/72 - o**5/12 - 25*o**4/8 + 6*o**3 + 35*o**2. Let l(u) be the first derivative of k(u). Let l(b) = 0. Calculate b.
-3, 5
Find o, given that 1/2*o**3 - 117 + 153/2*o + 40*o**2 = 0.
-78, -3, 1
Factor -4/5*k**3 + 848/5*k + 864/5 + 40*k**2.
-4*(k - 54)*(k + 2)**2/5
Let c(t) be the third derivative of 1/180*t**6 + 0*t**7 + 0*t**5 + 0*t**3 + 0*t + 0 + 0*t**4 - 55*t**2 - 1/504*t**8. Factor c(w).
-2*w**3*(w - 1)*(w + 1)/3
Let a(o) be the second derivative of -374/15*o**5 - 21*o - 16/3*o**2 - 208/9*o**3 + 0 + 121/9*o**6 - 136/3*o**4. Let a(c) = 0. Calculate c.
-2/5, -2/11, 2
Let r(w) be the first derivative of 1/6*w**6 + 0*w**2 + 0*w + 0*w**3 + 181 - 4/5*w**5 + 0*w**4. Solve r(t) = 0 for t.
0, 4
Let y(l) = -408*l**2 + 2831*l + 179. Let v be y(7). Solve -6 + 8*w - 2*w**3 + 1/2*w**v - 1/2*w**2 = 0 for w.
-2, 1, 2, 3
Factor 4/9*m**2 - 216 + 212/3*m.
4*(m - 3)*(m + 162)/9
Factor -908/7*q**2 + 1804/7*q - 900/7 + 4/7*q**3.
4*(q - 225)*(q - 1)**2/7
Suppose 2*b - 30*b + 2*b + 2*b**2 = 0. Calculate b.
0, 13
Factor 9686/5*k**3 - 1191640 - 193502/5*k**2 + 2/5*k**5 - 226/5*k**4 + 353648*k.
2*(k - 31)**3*(k - 10)**2/5
Let u(i) = -34*i**4 + 190*i**3 - 1112*i**2 + 2300*i - 1324. Let k(p) = 5*p**4 - 27*p**3 + 159*p**2 - 329*p + 189. Let q(m) = 20*k(m) + 3*u(m). Solve q(w) = 0.
1, 4, 6
Let g(k) = -k**3 - 3*k**2 - 10*k - 12. Let y be g(-2). Let -40*h**3 - 6158*h - y*h**5 + 6158*h + 28*h**4 = 0. What is h?
0, 2, 5
Let i(l) = l**3 + 10*l**2 + 419*l + 3694. Let d be i(-9). Solve 0 - 8/7*p**3 + 4/7*p**2 + 0*p + 4/7*p**d = 0.
0, 1
Let k = 16130 + -2032379/126. Let p(d) be the second derivative of 0*d**2 - 1/18*d**4 + k*d**7 - 1/60*d**5 - 24*d + 0*d**3 + 1/45*d**6 + 0. Factor p(z).
z**2*(z - 1)*(z + 1)*(z + 2)/3
Let w(a) = -a**2 + 354*a + 376. Let b(s) = -s**2 + 177*s + 190. Let k(z) = 7*b(z) - 4*w(z). Solve k(p) = 0.
-58, -1
Let u(t) = t**2 + 6*t - 22. Let l be u(-8). Let d(b) = b**2 + 3*b - 8. Let n be d(l). Factor c + 4*c**3 + 36 + 3*c - 2*c + n*c - 20*c**2.
4*(c - 3)**2*(c + 1)
Let o be (2 - (-50)/90) + 20/45. Let s(z) be the first derivative of -5*z + 5/3*z**o + 5 - 5/2*z**2 + 5/4*z**4. Factor s(l).
5*(l - 1)*(l + 1)**2
Let s(l) be the second derivative of l**5/20 - 258*l**4 + 532512*l**3 - 549552384*l**2 + 3657*l. Let s(a) = 0. What is a?
1032
Let l(g) be the third derivative of -255*g**2 - 2/75*g**5 + 2/45*g**3 + 1/60*g**4 + 0 + 0*g + 7/900*g**6. Let l(s) = 0. What is s?
-2/7, 1
Let u(r) = -130 - 284*r - 275*r + 549*r. Let d be u(-13). Suppose d*h + 0 + 1/6*h**2 = 0. What is h?
0
Let d = 8801 - 17601/2. Let q(w) be the third derivative of -4/3*w**3 + 6/35*w**7 + 0 - 23*w**2 + 7/5*w**5 - d*w**4 - 5/6*w**6 + 0*w. Let q(o) = 0. What is o?
-2/9, 1
Determine f so that 37/3*f**2 + 1/3*f**4 + 16/3 + 14*f + 4*f**3 = 0.
-8, -2, -1
Suppose -56*l + 14 = -98. Let m be 18/(-15)*60/(-162). Let m*t**l - 4/3*t + 8/9 = 0. Calculate t.
1, 2
Let d = -294415/1624 - -1269/7. Let s = d - -939/2552. Solve 0*u + 0 - 4/11*u**4 - 2/11*u**5 + 2/11*u**3 + s*u**2 = 0.
-2, -1, 0, 1
Let c(u) be the first derivative of -1/6*u**6 - 196 + 0*u**2 + 0*u + 0*u**4 + 2/5*u**5 + 0*u**3. Solve c(d) = 0.
0, 2
Suppose 432 = -5*f - 2*z, -5*z = 5*f - 10*z + 425. Let y be 2/(-7) - (-11)/(-616)*f. Factor 3/4*w**2 + y*w**3 - 1/4*w**5 + 0*w + 1/4*w**4 + 0.
-w**2*(w - 3)*(w + 1)**2/4
Let z be (-41)/(1804/(-66)) - (3 + -4)/2. Let c(m) be the third derivative of 0*m - 23*m**z - 9/2*m**3 + 0 + 1/10*m**5 - 3/16*m**4 + 1/80*m**6. Factor c(p).
3*(p - 2)*(p + 3)**2/2
Suppose -237 = 5*b - j, -3*b - 68 = -4*j + 64. Let y be b/(-320)*20/8. Factor -1/8*r + 1/8*r**3 - 3/8*r**2 + y.
(r - 3)*(r - 1)*(r + 1)/8
Let c = 8 + 3. Let q be ((-2)/6)/((55/(-60))/c). Factor q*d**2 + d**2 + 13*d - 9*d - 3*d**2.
2*d*(d + 2)
Let -1/3*q**3 - 2863288/3 - 142*q**2 - 20164*q = 0. Calculate q.
-142
Find z such that 889*z**3 + 46*z + 128*z**2 - 891*z**3 - 172*z = 0.
0, 1, 63
Let r(p) be the second derivative of p**5/12 - 15*p**4/2 + 270*p**3 - 11*p**2/2 - 3*p. Let z(b) be the first derivative of r(b). Factor z(c).
5*(c - 18)**2
Let c(x) be the third derivative of 2*x**7/105 - 19*x**6/30 - 64*x**5/15 - 22*x**4/3 - 23*x**2 - 23. Factor c(l).
4*l*(l - 22)*(l + 1)*(l + 2)
Let o(n) be the third derivative of 47*n**5/120 + 2113*n**4/144 - 5*n**3/6 - 2366*n**2. Factor o(z).
(z + 15)*(141*z - 2)/6
Let k(s) be the third derivative of -2*s - 1/315*s**7 + 155/3*s**4 + 31/90*s**6 - 1021/90*s**5 - 62*s**2 + 0 - 100*s**3. Find i, given that k(i) = 0.
1, 30
Let l(o) be the first derivative of -4*o**3/21 + 1480*o**2/7 - 547600*o/7 - 1044. Determine x, given that l(x) = 0.
370
Let x be 1/(13/(6 + -71)) - (-1 + -7). Let y(l) be the first derivative of 3/4*l**4 + 0*l + 3*l**x + 11 - 6*l**2. Factor y(k).
3*k*(k - 1)*(k + 4)
Let b(l) be the second derivative of -l**5/60 + 5*l**4/6 - 209*l**3/18 + l - 127. Factor b(h).
-h*(h - 19)*(h - 11)/3
Let h(m) = -m**2 - 1. Let l(o) = 4*o**2 + 29*o - 23. Let r(j) = -15*h(j) - 3*l(j). Suppose r(c) = 0. Calculate c.
1, 28
Let y(p) = 10*p**4 - 30*p**3 - 130*p**2 - 145*p - 60. Let d(i) = i**4 + i**3 + i**2 - 2. Let g(o) = -5*d(o) + y(o). Find x, given that g(x) = 0.
-1, 10
Let o = 23 - 13. Suppose -u - o = -19. Determine s so that 14*s + 10*s - 51*s**3 + 27*s**5 - 6*s**2 - 12 - u*s**4 + 27*s**2 = 0.
-1, 2/3, 1
Solve -2/21*h**2 + 0 + 1128/7*h = 0 for h.
0, 1692
Let y(g) be the first derivative of -5*g**4/4 - 20*g**3 + 135*g**2/2 - 70*g + 1751. Suppose y(w) = 0. What is w?
-14, 1
Suppose 10 = -5*d + p + 2, -p - 8 = 3*d. Let o be (d/3)/(8/(-24)). Find i such that -i**o - 2*i - 13 + 10 + 2 = 0.
-1
Suppose 2*y = 5*l - 16, 5*y + 6 - 8 = 2*l. Determine n, given that -240*n - 4*n**y - 733 - 1885 - 1033 + 51 = 0.
-30
Let q(o) be the first derivative of 3*o**5/5 + 4*o**4 - 28*o**3 - 72*o**2 + 128*o - 212. What is m in q(m) = 0?
-8, -2, 2/3, 4
Suppose 0 = 3*f + 4*s - 148, -s = -4*f + s + 212. Factor -5354*t + 6 - 31 + 5274*