
4*h
Let y(q) = q - 4. Let d be y(6). Differentiate 3 + 0 + 4*l**2 - 2*l**d with respect to l.
4*l
Let r(d) = -3*d**2 - 3*d - 5. Let i(w) = -16*w**2 - 14*w - 24. Let k(z) = -3*i(z) + 14*r(z). Differentiate k(x) with respect to x.
12*x
Let t(a) be the second derivative of 0 + 1/6*a**4 - 6*a - 2/5*a**5 + 0*a**3 + 0*a**2. Find the third derivative of t(v) wrt v.
-48
Let d = 45 + -29. Differentiate d + 7 - 25 + 12 - 10*k**2 wrt k.
-20*k
Suppose 4*i = 6*i. Let s(y) be the second derivative of i - 1/12*y**4 + 0*y**3 + y**2 + y. Find the first derivative of s(w) wrt w.
-2*w
Let u(v) = -v**2 - 2*v**2 - 2 - 6*v - 4*v**2. Let s(j) = -j**2 - j - 1. Let p(d) = -6*s(d) + u(d). Find the first derivative of p(x) wrt x.
-2*x
Suppose 4*n - 22 = 2*z, -3*n + 11 = -z - 6. What is the first derivative of n*r**4 + 2 - 7*r**4 + 1 wrt r?
-4*r**3
Let b(s) be the third derivative of 3/20*s**5 + 0*s**4 - 1/30*s**6 + 0 + 0*s - 5*s**2 + 0*s**3. What is the third derivative of b(f) wrt f?
-24
What is the second derivative of 7*l**3 - 3*l + l + l wrt l?
42*l
Let d(z) be the first derivative of -5 + 0*z**3 - 2*z**2 + 0*z**4 + 1/5*z**5 + 0*z. What is the second derivative of d(m) wrt m?
12*m**2
Let i(h) be the first derivative of -11*h**7/7 + 4*h**3 - 13. Find the third derivative of i(k) wrt k.
-1320*k**3
Let u be 2/(-5)*5/(-2). Differentiate -u - 3*c**3 + 3 - 2*c**3 with respect to c.
-15*c**2
Find the third derivative of 2*u**3 - 2 + 21*u - 6*u**2 - 7*u - 25*u**4 - 14*u wrt u.
-600*u + 12
Let o(g) = 7*g - 3. Let m be o(-2). Let d(r) = -2*r**4 - 26. Let x(h) = -h**4 - 9. Let b(k) = m*x(k) + 6*d(k). Find the first derivative of b(p) wrt p.
20*p**3
Let j(g) be the third derivative of g**6/40 - g**3/2 + 5*g**2. Differentiate j(p) wrt p.
9*p**2
Let d(g) be the first derivative of g**2/2 - g - 4. Let s(o) = -o. Let k(l) = 4*d(l) + 5*s(l). What is the first derivative of k(r) wrt r?
-1
Differentiate -4 + 5*c + 0 + 2*c + 2 with respect to c.
7
Let b(p) be the second derivative of -1/6*p**3 + 0*p**2 + 8*p + 0 - 1/12*p**4. Find the second derivative of b(h) wrt h.
-2
Let a(i) = i**3 + 5*i**2 + 5*i + 6. Let r be a(-4). What is the third derivative of 4*t**5 - 2*t**r + 3*t**2 - 5*t**5 wrt t?
-60*t**2
Let h(n) be the first derivative of 4*n**7/7 + 7*n**3/3 - 12. Find the third derivative of h(k) wrt k.
480*k**3
Differentiate 21*q**2 - 21*q**2 - 4*q**4 + 8 wrt q.
-16*q**3
Suppose -4*c = 10 + 2. Let k(t) = -t**4 + 3*t**2 + 3*t + 1. Let x(z) = z**4 - 2*z**2 - 2*z. Let w(f) = c*x(f) - 2*k(f). Differentiate w(s) wrt s.
-4*s**3
Let n = -8 + 11. Suppose -2*y - 7 = -4*y + n*c, 4*c = -5*y + 6. What is the third derivative of x**4 + x**2 + 6*x**2 - 2*x**y - 2*x**2 wrt x?
24*x
Let o(l) = -8*l**2 + 3*l + 1. Let z(f) = -f**2. Let r(x) = -o(x) + 4*z(x). Let j(d) = -9*d**2 + 7*d + 1. Let v(y) = -3*j(y) - 7*r(y). Differentiate v(t) wrt t.
-2*t
What is the first derivative of 0 + 19 - 26*c**2 + 16*c**2 wrt c?
-20*c
What is the derivative of 10*j**4 + 14*j**4 + 3 - 8 + 2*j**4 wrt j?
104*j**3
Suppose 0 = -4*u - 4 + 12. What is the third derivative of -5*j**6 + 0*j**6 + 2*j**6 - 2*j**u wrt j?
-360*j**3
Find the second derivative of 2*c**4 - 2*c**4 - c**5 + c - 5*c wrt c.
-20*c**3
Let v(g) be the first derivative of -2*g**2 + 1/6*g**6 + 0*g + 0*g**4 + 0*g**5 + 0*g**3 - 2. What is the second derivative of v(h) wrt h?
20*h**3
Let a(y) be the first derivative of 7*y**6/6 - 5*y**2/2 + 2. What is the second derivative of a(m) wrt m?
140*m**3
Let m(x) = 2*x**2 - 3*x + 4. Let a(c) = -c. Let l(s) = -3*a(s) + m(s). Find the first derivative of l(n) wrt n.
4*n
Let k(b) be the second derivative of -b**6/20 - b**5/30 + 2*b**2 + 2*b. Let i(d) be the first derivative of k(d). Find the third derivative of i(h) wrt h.
-36
Suppose -q + 0 = -3. What is the second derivative of n - q*n - 2*n + n**2 + n wrt n?
2
Find the second derivative of 9*h - 13*h + 20*h**5 - 15*h wrt h.
400*h**3
Let x(a) = 6*a**3 + 5*a**2 - 5*a + 4. Let l(k) = -k - k**3 - 2*k + 5*k - k**2 - k - 1. Let o(i) = -10*l(i) - 2*x(i). What is the derivative of o(j) wrt j?
-6*j**2
Let u(o) be the second derivative of o**6/90 - o**5/40 + 2*o**3/3 + 2*o. Let k(y) be the second derivative of u(y). What is the second derivative of k(v) wrt v?
8
Differentiate -56 + 27*t**3 - 93 + 108 wrt t.
81*t**2
Let h(l) = -l**2 + 1. Let x(t) = 29*t**2 - 9*t - 3. Let c(y) = -3*h(y) - x(y). Find the second derivative of c(f) wrt f.
-52
Let g(d) = -3. Let y(h) = 2. Let t(x) = 3*g(x) + 5*y(x). Let u(a) = 2*a - 6. Let l(i) = 2*t(i) + u(i). What is the first derivative of l(w) wrt w?
2
Let a(g) = -9*g**5 - 9*g**2 - 36*g + 36. Let r(p) = p**2 + p - 1. Let q(w) = -a(w) - 36*r(w). What is the third derivative of q(o) wrt o?
540*o**2
Let q(d) be the first derivative of -7*d**4 + 8*d**3 - 20. What is the third derivative of q(x) wrt x?
-168
What is the derivative of -37*j**2 - 14*j**3 + 18*j**2 + 1 + 19*j**2 wrt j?
-42*j**2
Let k(h) be the second derivative of -h**10/840 - h**6/40 - h**3/6 + 9*h. Let w(c) be the second derivative of k(c). What is the third derivative of w(i) wrt i?
-720*i**3
Let c(m) be the second derivative of m**6/180 + m**4/8 + m**3/6 + 8*m. Let t(x) be the second derivative of c(x). Differentiate t(f) with respect to f.
4*f
Suppose -52 = -5*c + 3*u - 12, 0 = c + 2*u + 5. What is the second derivative of 5*x**c + 0*x**5 + 6*x - 6 + 6 wrt x?
100*x**3
Let g(s) be the second derivative of 17*s**5/10 - 16*s**2 - 38*s. What is the first derivative of g(c) wrt c?
102*c**2
Let d(s) = 29*s**4 + 11*s**3 + 11*s**2 - 11*s + 20. Let w(o) = -6*o**4 - 2*o**3 - 2*o**2 + 2*o - 4. Let v(b) = 2*d(b) + 11*w(b). Differentiate v(z) wrt z.
-32*z**3
Let d(t) = -6*t**4 - 16*t**2 - 5*t + 5. Let g(c) = 9*c**4 + 24*c**2 + 8*c - 8. Let j(p) = 8*d(p) + 5*g(p). What is the third derivative of j(q) wrt q?
-72*q
Let i(u) = -9*u**5 + 2*u**4 - 5*u. Let r(o) = -10*o**5 + 3*o**4 - 4*o. Let p(y) = -3*i(y) + 2*r(y). What is the second derivative of p(n) wrt n?
140*n**3
Let a(j) = -8*j**2 + 3*j - 28. Let t(h) = -7*h**2 + 2*h - 29. Let b(x) = 2*a(x) - 3*t(x). What is the first derivative of b(k) wrt k?
10*k
Suppose -3*p - 2*p = 0. Suppose -g - 3*c - 5 = 0, 2 = -g - 2*c - p. What is the second derivative of 4*z**g + 2*z - 3*z**4 - 2*z**4 wrt z?
-12*z**2
Let w(g) = 9*g**2 - 3*g. Let u(f) = 26*f**2 - 10*f. Let t(z) = 4*u(z) - 11*w(z). What is the second derivative of t(i) wrt i?
10
Let i = -72 - -72. Let o(s) be the third derivative of -1/12*s**4 + 0 + 2/3*s**3 + i*s - s**2. What is the first derivative of o(r) wrt r?
-2
What is the third derivative of -2*d**2 + 0*d**2 + 16*d**6 + 2*d + 0*d**4 - 2*d**4 wrt d?
1920*d**3 - 48*d
Let p(c) = c**2 - 4*c - 7. Let v be p(6). Differentiate v*g**2 + 0 - 1 + 0 - 3*g**2 with respect to g.
4*g
Let u(t) be the third derivative of -t**6/15 - 5*t**4/12 - 6*t**2. Find the second derivative of u(b) wrt b.
-48*b
Let z(w) be the third derivative of 19*w**5/60 - 8*w**4/3 - 4*w**2 + 2. What is the second derivative of z(r) wrt r?
38
Let y(t) = 7*t - 13. Let f(l) = -4*l + 7. Let o(s) = -13*f(s) - 6*y(s). Find the first derivative of o(v) wrt v.
10
Suppose 0 = 2*t - 6*t + 8. Let a = t - 0. Find the third derivative of a*y**3 + y**2 + y**2 + y**3 - y**3 wrt y.
12
Let d(y) be the third derivative of -2*y**2 + 0 + 0*y**6 + 0*y - 1/48*y**8 + 0*y**4 - 1/30*y**5 + 0*y**7 + 0*y**3. Find the third derivative of d(z) wrt z.
-420*z**2
Let f(l) be the second derivative of l**6/30 - 2*l**2 - 5*l. Differentiate f(t) wrt t.
4*t**3
Let f(t) be the third derivative of t**6/72 + t**5/60 - t**3/2 - t**2. Let h(z) be the first derivative of f(z). Find the second derivative of h(l) wrt l.
10
Let m(a) be the third derivative of -41*a**7/210 + 31*a**5/60 + 27*a**2. Find the third derivative of m(b) wrt b.
-984*b
Let s(b) be the second derivative of 0 + 0*b**6 + 3*b + 0*b**5 + 0*b**7 - 1/12*b**4 + 0*b**3 - 1/28*b**8 + 0*b**2. Find the third derivative of s(w) wrt w.
-240*w**3
Let s(o) be the second derivative of o**4/6 + 5*o**3/6 + 2*o. What is the second derivative of s(v) wrt v?
4
Let c(h) = -12*h**2 + 5*h - 3. Let x(w) = 6*w**2 - 2*w + 1. Let p(l) = 2*c(l) + 5*x(l). Find the first derivative of p(o) wrt o.
12*o
Let l(i) be the first derivative of -3/2*i**2 + 9 + 0*i + 5/3*i**3. Find the second derivat