5*x + 32/5 + d*x**2 = 0 for x.
4
Let t(s) be the first derivative of -16/45*s**3 + 3/5*s**4 - 32/75*s**5 + 0*s + 14 + 1/15*s**2 + 1/9*s**6. Let t(b) = 0. What is b?
0, 1/5, 1
Let s(o) = -7*o**3 - 126*o**2 + 4*o + 120. Let a(z) = -20*z**3 - 376*z**2 + 12*z + 360. Let h(r) = -3*a(r) + 8*s(r). Determine x, given that h(x) = 0.
-30, -1, 1
Let q(a) be the second derivative of a**3 + 0 + 3/20*a**5 + 0*a**2 + 3/4*a**4 - a. Factor q(s).
3*s*(s + 1)*(s + 2)
Let n(k) be the first derivative of k**8/4200 + k**7/4200 - k**6/600 - k**5/600 + k**4/120 + 5*k**3 - 3. Let f(p) be the third derivative of n(p). Factor f(l).
(l - 1)*(l + 1)**2*(2*l - 1)/5
Let p(t) be the first derivative of 33 + 1/4*t**3 + 3/4*t**2 - 9/4*t. Factor p(y).
3*(y - 1)*(y + 3)/4
Suppose -o = -4*o + 3*y, 4*o - 2*y = 8. Let u = 9 - 6. Suppose -3*i**o - 3*i**3 - i - 9*i**2 + 4*i + 12*i**u = 0. Calculate i.
0, 1
Let p = -876 + 431. Let t be p/(-3) - 2/6. Factor 6*z**3 + 32*z + 120*z**2 - 2*z**3 - t*z**2 + 64.
4*(z - 4)**2*(z + 1)
Suppose -352 = -15*p - 217. Let h(y) be the first derivative of 0*y**2 + 0*y**3 + 1/22*y**4 + 0*y + p - 2/55*y**5. Let h(s) = 0. Calculate s.
0, 1
Let u(g) = 4*g**4 + 44*g**2 + 20*g - 14. Suppose -12 = -4*l - 68. Let k(n) = -n**4 - 9*n**2 - 4*n + 3. Let o(m) = l*k(m) - 3*u(m). Factor o(j).
2*j*(j - 2)*(j + 1)**2
Let m = 14 - 11. Suppose 5*y - 5 - 10 = 0. Suppose -2 + i**3 - i**4 + 2*i + 0*i**m + y - 3*i**3 = 0. What is i?
-1, 1
Let j be 2 + 96/(-44) + (-444)/(-22). Suppose 0 = -3*m + 5*p + j, 2*m - p = 2*p + 12. Factor 0*o**3 + m*o + 0 + 0*o**2 - 1/10*o**4.
-o**4/10
Let l(x) be the third derivative of -1/210*x**5 + 0*x + 1/21*x**4 + 0 + 23*x**2 - 1/7*x**3. Factor l(r).
-2*(r - 3)*(r - 1)/7
Factor -5/2 - 3*h - 1/2*h**2.
-(h + 1)*(h + 5)/2
Let 0 - 24/5*l + 3/5*l**2 = 0. Calculate l.
0, 8
Let b(y) be the second derivative of y**8/1344 - y**7/168 + y**6/72 - 13*y**4/6 + 28*y. Let j(h) be the third derivative of b(h). Suppose j(m) = 0. Calculate m.
0, 1, 2
Let a = -5 + 9. Let o(x) = -x**2 - 17*x + 20. Let t be o(-18). Find y, given that -5*y**t - y - y**3 - 2*y**2 + y**2 + a*y**2 = 0.
-1, 0
Let g(h) be the second derivative of -h**8/60 + h**7/105 + 5*h**3/2 + 5*h. Let x(i) be the second derivative of g(i). Factor x(r).
-4*r**3*(7*r - 2)
Let v = 267 - 262. Suppose 20 = 5*d + 5*x, v*d - x = 4*x. Suppose -2/3*m + 8/3*m**4 + 8/3*m**d - 4*m**3 - 2/3*m**5 + 0 = 0. Calculate m.
0, 1
Let i(k) be the third derivative of 0 + 1/630*k**7 + 0*k**3 + 4*k**2 + 0*k + 1/2016*k**8 - 1/720*k**6 - 1/180*k**5 + 0*k**4. Factor i(f).
f**2*(f - 1)*(f + 1)*(f + 2)/6
Let s be 0/(-1) - 160/(-65). Let c = -1507/91 - -117/7. What is m in s - 16/13*m + c*m**2 = 0?
4
Factor 0*c + 3*c**2 - 51/8*c**3 + 0 + 15/4*c**4 - 3/8*c**5.
-3*c**2*(c - 8)*(c - 1)**2/8
Let w(l) be the third derivative of -32/21*l**3 + 0 - 1/105*l**5 - 4/21*l**4 + 0*l - 16*l**2. Factor w(x).
-4*(x + 4)**2/7
Let c(l) be the second derivative of l**4/4 + 3*l**3 - 24*l**2 - 4*l - 7. Factor c(x).
3*(x - 2)*(x + 8)
Factor -m**4 + 4*m**5 + 3*m**3 - 16*m - 16*m**2 + 9*m**3 + 17*m**4.
4*m*(m - 1)*(m + 1)*(m + 2)**2
Suppose 7 = 3*q + 5*b, q - 2 = -2*b - 0*b. Let 0*c**3 + 3/2*c**2 - 1/2*c**q + 0 + c = 0. What is c?
-1, 0, 2
Let b(x) be the first derivative of -x**7/168 - 11*x**6/60 - 97*x**5/80 + 11*x**4/2 - 6*x**3 - 34*x - 6. Let d(r) be the first derivative of b(r). Factor d(n).
-n*(n - 1)**2*(n + 12)**2/4
Let y(q) be the third derivative of q**8/1512 - 13*q**7/945 - 7*q**6/60 - 83*q**5/270 - 17*q**4/54 + 157*q**2. Determine f, given that y(f) = 0.
-2, -1, 0, 17
Let t(f) be the first derivative of -3/8*f**2 - 4 - 5/16*f**4 + 1/20*f**5 + 7/12*f**3 + 0*f. Factor t(j).
j*(j - 3)*(j - 1)**2/4
Let u(x) = 36*x**2 + 150*x + 24. Let g(k) = 126*k**2 + 525*k + 84. Let d(r) = -5*g(r) + 18*u(r). Let d(w) = 0. What is w?
-4, -1/6
Factor 3/4*g + 39/4 - 3/4*g**3 - 39/4*g**2.
-3*(g - 1)*(g + 1)*(g + 13)/4
Let z be 136/(-748) - (567/264)/(-7). Suppose 0 + 7/8*i**2 - 1/2*i - 1/4*i**3 - z*i**4 = 0. What is i?
-4, 0, 1
Let d = 11939/10656 - 11/1184. Solve -2/9 + p**2 + d*p**3 - 1/3*p = 0 for p.
-1, -2/5, 1/2
Let z(t) be the first derivative of -7*t**5/160 - 11*t**4/24 - 25*t**3/16 - 9*t**2/8 + 3*t + 6. Let y(m) be the first derivative of z(m). Factor y(i).
-(i + 3)**2*(7*i + 2)/8
Suppose -2*n - 10 = x + n, -4*x + 5*n = -28. Suppose 10*o + 6 = 36. Factor -40 + 40 + 3*d - d**o + 2*d**x.
-d*(d - 3)*(d + 1)
Let a(x) be the second derivative of -x**4/78 - 2*x**3/39 + 47*x - 2. Find c, given that a(c) = 0.
-2, 0
Suppose -2*r - 8 = -4*z, 0 = -2*z - 5*r - 0 + 4. Let v be (-1 - -1)/(((-12)/z)/(-6)). Factor 0 - 2/3*o**2 + v*o + 1/3*o**3.
o**2*(o - 2)/3
Let u(w) = 58*w + 652. Let r be u(-11). What is j in -16/5*j + 8/5 - 134/5*j**2 + r*j**3 = 0?
-2/7, 1/5, 2
Let p(h) be the second derivative of -h**5/180 + 11*h**4/36 - 121*h**3/18 + 1331*h**2/18 + h + 7. Factor p(s).
-(s - 11)**3/9
Let g(x) be the first derivative of 2*x**5/35 - x**4/7 - 2*x**3/7 - 384. Factor g(r).
2*r**2*(r - 3)*(r + 1)/7
Let z = -49 - -54. Let q(r) be the third derivative of 1/210*r**6 + 0*r**7 + 0 - 1/1176*r**8 + 0*r**z + 0*r**3 + 0*r + 6*r**2 - 1/84*r**4. Factor q(n).
-2*n*(n - 1)**2*(n + 1)**2/7
Let o(p) = -89*p + 2. Let b be o(-1). Let z be b/35 - (-8)/(-4). Factor z - 1/5*x**3 - 7/5*x + x**2.
-(x - 3)*(x - 1)**2/5
Let l be (-2)/4 + (-49)/(-2). Suppose 3*t - l = t - 4*o, -5 = -5*t + o. Factor t*n**2 - 6*n**2 + n + 0*n**2.
-n*(4*n - 1)
Suppose 3*u = -t + 14, -3*t - u = -6 - 4. Suppose s = t*g - 0*s - 13, g + 2*s = -1. Factor -3/4*l**3 + 0*l + 1/4*l**2 + 3/4*l**4 - 1/4*l**g + 0.
-l**2*(l - 1)**3/4
Let v(p) be the third derivative of p**7/42 - p**6/8 - 3*p**5/4 + 45*p**4/8 + 5*p**2 - 4. Factor v(x).
5*x*(x - 3)**2*(x + 3)
Let n(r) be the third derivative of -r**9/241920 - r**8/80640 + 3*r**5/20 + 18*r**2. Let s(j) be the third derivative of n(j). Factor s(c).
-c**2*(c + 1)/4
Let o be (-48)/(-80)*(1694/99 + -6). Let -o + 4/3*d**2 - 16/3*d = 0. Calculate d.
-1, 5
Let d = -1542/5 + 309. Let b(u) be the second derivative of -1/10*u**2 + 2/5*u**3 - 2*u + 0 - 23/30*u**4 + d*u**5 - 1/6*u**6. Factor b(k).
-(k - 1)**2*(5*k - 1)**2/5
Let c(h) = -20*h**3 - 32*h**2 + 80*h + 32. Let z(m) = -4*m**3 - 6*m**2 + 16*m + 6. Let u(v) = -3*c(v) + 16*z(v). Solve u(r) = 0.
-2, 0, 2
Let b = -32 + 35. Let t(l) = 4*l**4 - 8*l**3 - 4. Let s = -8 - -4. Let f(u) = 4*u**4 - 8*u**3 + u**2 - 3. Let n(z) = b*t(z) + s*f(z). Factor n(o).
-4*o**2*(o - 1)**2
Suppose -4 = -4*c - 4*v, -v = -c + 8 - 5. Let t be 2*(2 - 1 - 0). Factor -2*d + c*d + t*d**4 + d**4.
3*d**4
Suppose -s + 5*d + 17 = -9, 0 = d + 2. Find b, given that -9 - s*b**2 + 27*b**2 - 12*b**2 + 6*b = 0.
3
Let o(m) be the third derivative of -1/60*m**6 + 0*m + 1/12*m**4 - 1/60*m**5 + 4*m**2 + 0 + 1/6*m**3. Let o(y) = 0. Calculate y.
-1, -1/2, 1
Let r = 304 + -300. Suppose 36 = r*h + 8*h. Factor -4/3*b - 2/3*b**2 + 2/3*b**h + 0.
2*b*(b - 2)*(b + 1)/3
Suppose 0*l + 8 = 4*l. Suppose -96 = -l*a + a. Determine q, given that -128*q - 3*q**3 + a*q**2 + 64 + 0*q**4 + 6*q**3 - 35*q**3 + 4*q**4 = 0.
2
Determine b, given that -5/3*b**2 - 7/3*b - 1/3*b**3 - 1 = 0.
-3, -1
Suppose 5*z + 5*c - 60 = 0, -2*z + 4*c - 35 = -5*z. Let r = 16 - z. Factor -2*m**2 - 2*m**2 + r*m**2 + 2*m - m**2.
-2*m*(m - 1)
Suppose -y - 15 = 4*u, 0 = -3*y - y - 5*u - 16. Let x(f) = 8*f - 5. Let l be x(y). Determine m, given that 2/9*m**4 - 4/9*m + 0 + 0*m**l - 2/3*m**2 = 0.
-1, 0, 2
Let c(l) = -l - 12. Let p be c(-14). Factor 20*n + 22 + 2*n**p + n + n**2 + 8.
3*(n + 2)*(n + 5)
Let u(k) be the first derivative of k**3/9 - 23*k**2/6 + 22*k/3 - 63. Find c such that u(c) = 0.
1, 22
Solve 1/10*y**2 - 7/5*y + 0 = 0.
0, 14
Let v(y) = -3*y**2 + 16*y - 4. Let q be v(5). Let g be q + (-4)/(-5) + 12/60. Factor -8/7*x + 6/7 + 2/7*x**g.
2*(x - 3)*(x - 1)/7
Let o be -12 + 16 - (0 - (-4 + 4)). Let t(q) be the third derivative of -1/60*q**5 - 11*q**2 + 0*q + 0 - 1/12*q**o + 0*q**3. Factor t(y).
-y*(y + 2)
Let j(y) be the second derivative of 1/3*y**4 - 10*y + 6*y**2 - 8/3*y**3 + 0. Find t such that j(t) = 0.
1, 3
Let r(u) = u**3 - 30*u - 33. Let t be r(6). Factor -1/2*w - 7/4*w**2 + 0 - 5/4*w**t.
-w*(w + 1)*(5*w + 2)/4
Let h(d) be the first derivative of d**5/5 - 5*d**4/4 - 8*d**3/3 + 6*d**2 - 516. Factor h(j).
j*(j - 6)*(j -