
1
Differentiate 127 - 7*c - 66 - 32*c wrt c.
-39
Let b(m) = -30*m**6 + 9*m**3 - 65*m**2 - 9. Let x(q) = 15*q**6 - 4*q**3 + 32*q**2 + 4. Let c(r) = 4*b(r) + 9*x(r). What is the third derivative of c(l) wrt l?
1800*l**3
Let k(o) = -o. Suppose -w + 5 = -0*w. Let x(j) = -3*j**3 - 5*j + 3. Let d(y) = w*k(y) - x(y). Differentiate d(u) wrt u.
9*u**2
Let l(x) = -32*x**3 - 7*x**2 + 14*x + 7. Let c(b) = 11*b**3 + 2*b**2 - 5*b - 2. Let y(a) = -7*c(a) - 2*l(a). What is the second derivative of y(o) wrt o?
-78*o
Let a be (-8)/(-16) - (-3)/(-6). Let r(o) be the first derivative of 1 - o**2 + a*o + 0*o**3 - 1/4*o**4. What is the second derivative of r(v) wrt v?
-6*v
Let z(t) be the third derivative of -t**8/56 - 41*t**4/24 + 16*t**2. What is the second derivative of z(q) wrt q?
-120*q**3
Let q(v) be the first derivative of 2 - 1/24*v**4 + 0*v + 1/6*v**3 + v**2. Let z(g) be the second derivative of q(g). Differentiate z(i) with respect to i.
-1
Let g(l) be the second derivative of 7*l**5/20 - l**4/12 - 7*l. What is the third derivative of g(m) wrt m?
42
Let a(f) = -2*f**3 - f**2 - f. Suppose 0 = v + 3 - 2. Let s be a(v). What is the second derivative of 0 - 4*x**2 + 0 + 3*x + s*x**2 wrt x?
-4
Let c = -17 + 17. What is the derivative of 0*i - 4*i - 1 - 1 + c*i wrt i?
-4
What is the first derivative of 3 - 6 + 4 + 7 + i wrt i?
1
Let t = 1 + -7. Let n(x) = -x**2 - 6*x - 9. Let s(a) = a**2 + 7*a + 10. Let h(k) = t*s(k) - 7*n(k). What is the derivative of h(l) wrt l?
2*l
Let c(q) = 23*q**3 + 24*q**2 - 3*q - 3. Let i(r) = 46*r**3 + 49*r**2 - 7*r - 7. Let g(u) = 7*c(u) - 3*i(u). Find the third derivative of g(k) wrt k.
138
Let h(c) = 2*c + 1. Let p(n) = n + 1. Let t(y) = h(y) + 2*p(y). Find the first derivative of t(s) wrt s.
4
Suppose -2 = -4*j + 2. Let v be (0 - 0)*(-3)/(-6). Find the first derivative of j - 9*h + v + 8*h wrt h.
-1
Suppose -4 = -5*m + 6. What is the third derivative of t**3 - 3*t**2 + m - 2 - 5*t**3 wrt t?
-24
Let w(t) be the first derivative of -4*t**3 - 33*t + 32. What is the first derivative of w(z) wrt z?
-24*z
Let m(i) = -8*i**5 - 9*i**4 - 28*i**2 - 5. Let l(w) = -9*w**5 - 10*w**4 - 27*w**2 - 6. Let j(y) = -5*l(y) + 6*m(y). Find the third derivative of j(h) wrt h.
-180*h**2 - 96*h
Let w(k) be the second derivative of -2*k**7/105 + k**5/20 + 3*k**2/2 - 3*k. Let h(u) be the first derivative of w(u). Find the third derivative of h(o) wrt o.
-96*o
Let v = -4 - -8. Suppose -10 = -3*c + 5*n - 4*n, 0 = -2*c + n + 6. What is the second derivative of v*q**c - q - 2 + 3*q + 2 wrt q?
48*q**2
Let b(c) be the third derivative of c**7/280 + c**5/30 + 2*c**3/3 + 4*c**2. Let h(o) be the first derivative of b(o). Find the second derivative of h(w) wrt w.
18*w
Let f(x) = 39*x - 5. Let y be f(3). What is the first derivative of 5 + y*i**2 - 112*i**2 + 6*i**3 wrt i?
18*i**2
Let f(l) be the third derivative of 5/336*l**8 + 0*l**3 + 1/20*l**5 + 0*l**4 + 0*l + 5*l**2 + 0*l**7 + 0*l**6 + 0. Find the third derivative of f(t) wrt t.
300*t**2
Let t(b) = 4*b**2 + 7. Let i = 12 + -10. Let n(p) = -8 + 3*p - i*p**2 - 3*p**2 - 3*p. Let l(d) = 3*n(d) + 4*t(d). What is the first derivative of l(h) wrt h?
2*h
Let k(u) = -u**2 + 1. Let j(a) be the second derivative of 3*a**5/20 - a**4/3 + 2*a. Let y(f) = j(f) - 4*k(f). Differentiate y(m) with respect to m.
9*m**2
Suppose 0 = -g + 1 + 4. What is the second derivative of -32*y - 33*y + 75*y + 0*y**3 + g*y**3 wrt y?
30*y
Suppose -2*w = -5*f - 41, -5*w - f + 20 = 3*f. What is the first derivative of -w*d + 20*d - 9*d - 4 wrt d?
3
Suppose 2*c = 4*t, -4*t + 4*c - 6 = 2. What is the second derivative of -f - 2*f**3 + t*f**3 + 2*f**3 + 6*f wrt f?
12*f
Let r(n) be the third derivative of -n**6/120 + n**3/2 - 18*n**2. Find the first derivative of r(g) wrt g.
-3*g**2
Let p(i) be the first derivative of -3*i + 0*i**3 + 2/5*i**5 + 0*i**4 + 0*i**2 - 3. What is the first derivative of p(z) wrt z?
8*z**3
Let o(w) be the second derivative of -w**4/4 - 4*w**3/3 - 26*w. What is the second derivative of o(d) wrt d?
-6
Suppose 5*g - 2*s - 18 = g, 3*g - 26 = 4*s. Let v be (18/(-12))/(g/(-4)). What is the second derivative of 4*q + 6*q - v*q - 5*q + 2*q**3 wrt q?
12*q
Suppose u + 6 = 2*c, 0 = -2*c - c + 3*u + 9. What is the second derivative of 0*s**c - 2*s + 0*s + s**3 wrt s?
6*s
Let h(k) = 7*k**3 + 3*k - 1. Let x(c) = 13*c**3 + 5*c - 2. Let r = 2 - -3. Let b(a) = r*h(a) - 3*x(a). Differentiate b(z) with respect to z.
-12*z**2
Suppose 4 = g - 0*g. What is the third derivative of 2*a**g - 2*a**4 + 2*a**2 + 0*a**4 + 3*a**6 wrt a?
360*a**3
Let k(p) be the first derivative of -p**7/210 + p**3/2 - p**2 + 3. Let f(q) be the second derivative of k(q). What is the first derivative of f(u) wrt u?
-4*u**3
Suppose 6 - 2 = -2*y, 5*h + 3*y = 9. Find the second derivative of -4*u + u + h*u**3 + 0*u**3 wrt u.
18*u
Let a(v) = 2*v**5 + 2*v**3 - 3*v + 2. Let h(f) = -9*f**5 - 11*f**3 + 15*f - 11. Let z(i) = 11*a(i) + 2*h(i). What is the second derivative of z(d) wrt d?
80*d**3
What is the second derivative of 1 - 75*g**2 - 9*g + 82*g**2 - 1 wrt g?
14
Let m(p) = p**2 - 2*p + 2. Let h be m(2). Let n(a) be the third derivative of -1/6*a**3 + 3*a**h - 1/24*a**4 + 0*a + 0. Differentiate n(y) wrt y.
-1
Suppose 0*l + 4*l + 16 = n, 3*n = 5*l + 27. Let f = l - -5. Differentiate 0*w**4 - 3*w**4 + f + 0 with respect to w.
-12*w**3
Let w(x) be the second derivative of -7*x**4/12 - x**3 + 6*x. Find the second derivative of w(g) wrt g.
-14
Let b(i) = -i**2 + 2*i + 1. Suppose 20 = 4*d + 2*k - 5*k, 0 = -3*d - 5*k - 14. Let f(c) = c**2 + c + 1. Let a(z) = d*f(z) - b(z). Differentiate a(t) wrt t.
6*t
Let z = 24 - 20. Let v(u) be the second derivative of 0*u**3 + 0*u**2 + u + 0*u**5 - 1/6*u**z + 0 - 1/30*u**6. What is the third derivative of v(s) wrt s?
-24*s
Let z(a) be the second derivative of a**7/6 - a**4/12 - 4*a**3 + a - 2. What is the second derivative of z(y) wrt y?
140*y**3 - 2
Let c(j) = -j. Let s(f) = 3*f**4 - 12*f**2 - 6*f. Let q(y) = 6*c(y) - s(y). What is the third derivative of q(p) wrt p?
-72*p
Let b = 11 - 9. What is the second derivative of 0*m**4 - m + 4*m - b*m**4 - 5*m wrt m?
-24*m**2
Let x(f) be the first derivative of 1 - 1/3*f**3 - 1/8*f**4 + 3/2*f**2 + 0*f. Let a(v) be the second derivative of x(v). What is the derivative of a(j) wrt j?
-3
Let k(g) = -21*g**3 + 10*g**2 - 3*g + 57. Let x(p) = 11*p**3 - 4*p**2 + p - 29. Let a(l) = -2*k(l) - 5*x(l). What is the derivative of a(q) wrt q?
-39*q**2 + 1
Let d(x) = -19*x**3 + 11*x**2 + 13*x. Let n(i) = 9*i**3 - 6*i**2 - 7*i. Let z(w) = -6*d(w) - 11*n(w). Find the second derivative of z(f) wrt f.
90*f
Suppose 2*t - 7 = t + k, 4 = -4*t - 4*k. What is the first derivative of 0 - 3*i**t - 6 - 2*i**3 wrt i?
-15*i**2
What is the third derivative of 0*f**6 - 4*f**2 + f**6 - 3*f**6 wrt f?
-240*f**3
Let r(n) = -n - 10. Let u be r(-12). What is the third derivative of -d**6 + 3*d**2 - 2*d**u - 2*d**6 + 0*d**2 wrt d?
-360*d**3
Let v(i) be the third derivative of i**7/105 + i**5/10 - 7*i**4/24 + i**3/3 + 16*i**2. What is the second derivative of v(y) wrt y?
24*y**2 + 12
Suppose -t = 3*w - 1 - 5, -5*t = w + 12. Suppose -2 = w*d + 4*j, -5*d - 2*j + 31 = 11. Find the first derivative of 2*b + 4*b - d*b + 4 - 4*b**2 wrt b.
-8*b
Let d(y) be the first derivative of -14*y**5/5 + 7*y**3/3 + 13. What is the third derivative of d(x) wrt x?
-336*x
Let j(f) = -f**5 + f**2 - f. Let q(x) = -7*x**5 + 4*x**2 - 6*x. Let v(k) = 30*j(k) - 5*q(k). What is the third derivative of v(p) wrt p?
300*p**2
Let w(p) = -p**3 - 2*p**2 + 2*p - 3. Let r be w(-3). Suppose r*z = -z + 5. What is the third derivative of -b**5 - 4*b**5 - b**2 + 4*b**z wrt b?
-60*b**2
Let w(v) be the second derivative of -29*v**7/42 + 13*v**3/6 - 7*v. What is the second derivative of w(t) wrt t?
-580*t**3
What is the second derivative of -3*s**2 - s + 0*s**2 + 4*s**2 + 7*s**2 wrt s?
16
Let v(s) be the third derivative of 19*s**7/70 - s**4/3 - s**3/6 + 29*s**2. Find the second derivative of v(x) wrt x.
684*x**2
Suppose 2 + 0 = -f. Let w be (f/6)/(2/(-18)). Find the third derivative of 0*v - w*v**5 + 0*v + 4*v**2 + v**5 wrt v.
-120*v**2
Differentiate 5 + 173*h - 154*h + 18 wrt h.
19
Let d(u) be the third derivative of -u**5/10 - 5*u**3/2 + 11*u**2. Find the first derivative of d(b)