
Let d(u) = 19*u**3 + 26*u**2 + 5. Let o(g) = -10*g**3 - 13*g**2 - 2. Let w(q) = -2*d(q) - 5*o(q). Find the third derivative of w(r) wrt r.
72
Let i = 1 + 1. What is the third derivative of -w**4 + 4 + w**i + 4*w**4 - 4 wrt w?
72*w
Suppose 5*z + 3*w - 4 = 0, 2*w + 2 = -z - 0. Suppose s - 5*l + 2 = -2*l, 3*l - 4 = -s. Find the first derivative of z*n + n + s - n wrt n.
2
Let d be (-1)/((-7)/(-2) + -4). Let f(k) be the second derivative of -1/4*k**4 + 3/2*k**d + k + 0 + 0*k**3. Differentiate f(u) with respect to u.
-6*u
What is the second derivative of -7*i**3 - 4*i - 9*i**3 - 7*i - i**3 wrt i?
-102*i
Suppose -10*u + 12 = -4*u. Let b(y) be the first derivative of 2*y + 2 - 1/2*y**u. What is the first derivative of b(k) wrt k?
-1
Let s(r) be the third derivative of -7*r**5/60 + 5*r**3/6 + 8*r**2. What is the first derivative of s(q) wrt q?
-14*q
Let l = -17 + 21. Differentiate r - 1 - l*r + 8*r wrt r.
5
Let u(t) be the third derivative of t**5/30 - t**4/6 + t**3/6 - t**2. Let o(m) be the first derivative of u(m). What is the first derivative of o(w) wrt w?
4
Let p(r) be the first derivative of -5*r**3/3 + 5*r + 5. What is the derivative of p(y) wrt y?
-10*y
Let m(h) be the third derivative of -h**8/56 + 5*h**4/24 + 9*h**2. Find the second derivative of m(z) wrt z.
-120*z**3
Differentiate 17 + 62*j**2 - 16*j**2 - 25*j**2 wrt j.
42*j
Let p(v) = v**3 - 6*v**2 + 6*v + 2. Let w be p(5). Suppose -2 = -3*k + w. What is the derivative of k - d**4 - 2 + 4*d**4 wrt d?
12*d**3
Let k(u) = -u**2 - 2*u + 11. Let j(v) = -3*v**2 - 9*v + 44. Let c(f) = -2*j(f) + 9*k(f). Find the first derivative of c(q) wrt q.
-6*q
Let i(c) be the second derivative of -c**7/70 - c**3/2 + c**2/2 - 3*c. Let o(v) be the first derivative of i(v). What is the derivative of o(b) wrt b?
-12*b**3
Suppose 1 - 9 = -2*y, a - 2*y + 2 = 0. What is the third derivative of 1 + s**3 - 1 + 7*s**2 + a*s**3 wrt s?
42
Find the third derivative of 2*d**2 + 18*d**3 - 4*d**2 - 14*d**3 + 5*d**2 wrt d.
24
Let k(n) be the second derivative of -5*n**7/14 + 13*n**4/6 + 5*n. What is the third derivative of k(p) wrt p?
-900*p**2
Let z(m) = 61*m**6 - 3*m**3 + 10*m**2. Let s(f) = -f**6 + f**3 - f**2. Let d(t) = 3*s(t) + z(t). What is the third derivative of d(u) wrt u?
6960*u**3
Let a(r) be the third derivative of -r**8/16 + 23*r**4/24 + 9*r**2. Find the second derivative of a(z) wrt z.
-420*z**3
Suppose -2 - 2 = -2*i. Let p(m) = -5*m**3 + 2*m**2 - 4. Let h(j) = 16*j**3 - 7*j**2 + 13. Let b(u) = i*h(u) + 7*p(u). Find the first derivative of b(c) wrt c.
-9*c**2
Let y(l) be the third derivative of l**6/120 - 2*l**3 + 11*l**2. Differentiate y(a) with respect to a.
3*a**2
Let q(o) be the second derivative of 7*o**3/6 + 5*o**2/2 - 5*o. What is the first derivative of q(b) wrt b?
7
Let g(z) be the second derivative of z**5/60 + z**4/4 + 2*z**3/3 + z. Let p(y) be the second derivative of g(y). Find the first derivative of p(h) wrt h.
2
Let j(m) be the second derivative of 19*m**4/12 + 3*m**2 + 21*m. What is the derivative of j(p) wrt p?
38*p
Suppose -8 = 2*t - 0*t. Let d be t/(-10) - 26/(-10). What is the third derivative of -h**d - h**2 + 3*h**3 - h**2 wrt h?
12
Let o(u) be the first derivative of 1/2*u**2 + 2 + 1/2*u**3 + 2*u. Let g(y) be the first derivative of o(y). What is the first derivative of g(j) wrt j?
3
Let r(s) = s**3 - 3*s**2 + s + 2. Let v be -1 + -1 + -1 + 5. Let p be r(v). What is the second derivative of p*l**4 + l + 0*l - 3*l**4 wrt l?
-36*l**2
Let k(p) be the second derivative of -2*p**3 + p**2/2 + 5*p. What is the derivative of k(d) wrt d?
-12
Let t(h) be the second derivative of -h**6/120 - h**5/20 + 3*h**2/2 - 3*h. Let o(v) be the first derivative of t(v). What is the third derivative of o(b) wrt b?
-6
Let n(s) = 21*s**2 - 12. Let i(f) = 11*f**2 - 6. Let y(o) = 11*i(o) - 6*n(o). Differentiate y(p) wrt p.
-10*p
Let i be 13/39*0/1. Let t(f) be the first derivative of 1 + 1/3*f**3 + 0*f - 1/2*f**4 + i*f**2. Find the third derivative of t(u) wrt u.
-12
Let f(h) = 15*h**3 - 17*h**2 + 24*h. Let u(z) = -5*z**3 + 6*z**2 - 8*z. Let t(w) = 6*f(w) + 17*u(w). What is the second derivative of t(s) wrt s?
30*s
What is the third derivative of -2*m**2 - 3*m**2 - 15*m**2 + 41*m**3 + 0*m**2 wrt m?
246
Let b(h) = -h + 14. Let i be b(11). What is the second derivative of -2*q + 4*q**4 - 2*q**4 - i*q + q**4 wrt q?
36*q**2
Let q(f) = -f**4 + f**2 + 1. Let p(b) = 4*b**4 + 3*b**2 + 8. Let r(v) = p(v) - 3*q(v). Differentiate r(a) with respect to a.
28*a**3
Let b(d) be the second derivative of d**5/20 + 7*d**4/12 + d**2 - d. Let h be b(-7). Find the first derivative of 2*s**3 - 2*s**3 - 2*s**4 - h - s**4 wrt s.
-12*s**3
Let l(m) = m**2 + 7*m + 2. Let f be l(-7). Find the second derivative of 0*s**2 - 3*s + 1 + 3*s**f - 1 wrt s.
6
Let x = -3 + 7. Suppose x*w - 10 = -w. What is the second derivative of 0*b**2 - 8*b + 3*b + b + b**w wrt b?
2
Let u(x) be the third derivative of -3*x**2 + 0*x + 0*x**5 + 0 + 0*x**3 + 0*x**7 - 1/336*x**8 + 1/24*x**4 + 0*x**6. Find the second derivative of u(d) wrt d.
-20*d**3
Suppose -5*j - z + 18 = 0, 0*j + 2 = j + z. Differentiate -4 + j + 2 - b - 2*b with respect to b.
-3
What is the first derivative of -26*o**2 + 26*o**2 + 18*o**3 - 4 - 10 wrt o?
54*o**2
Find the first derivative of 78*c**4 + 52 + 7 - 61*c**4 - 39*c**4 wrt c.
-88*c**3
Let m(f) be the second derivative of 17*f**6/15 - 17*f**3/3 + 36*f. Find the second derivative of m(l) wrt l.
408*l**2
Let g(c) = -2*c**3 + c**2 - 5*c + 5. Let f(k) = k**3 + 4*k - 4. Let j(q) = 5*f(q) + 4*g(q). Find the third derivative of j(m) wrt m.
-18
Let f(d) = d**3 + 8*d**2 - 9*d - 6. Let k be f(-9). Let t be 10*(2 + 3/k). What is the third derivative of -15*c - 2*c**2 + 3*c**4 + t*c wrt c?
72*c
Let d(a) = 1 + 2 + a + 3. Let z(o) = 7. Let h(j) = -1. Let m(t) = 6*h(t) + z(t). Let x(w) = -2*d(w) + 11*m(w). Differentiate x(b) wrt b.
-2
Let y(n) = 50*n**3 + 2*n**2 - 10. Let w(q) = -99*q**3 - 5*q**2 + 20. Let r(c) = -2*w(c) - 5*y(c). What is the derivative of r(p) wrt p?
-156*p**2
Let m(t) = -2*t**5 + 6*t**4 - 7*t**2 + 6. Let j(y) = -6*y**5 + 17*y**4 - 21*y**2 + 17. Let b(l) = 6*j(l) - 17*m(l). What is the third derivative of b(h) wrt h?
-120*h**2
Suppose -27 = -5*c - 4*q, -5*q + 31 - 1 = 5*c. Find the second derivative of 4*v - c*v**4 + 0*v - 2*v + 2*v wrt v.
-36*v**2
Let u(c) = -c**3 - c + 1. Let h(o) = 23*o**3 - 8*o - 5. Let f(r) = h(r) + 5*u(r). What is the second derivative of f(b) wrt b?
108*b
Let b(x) be the second derivative of -7*x**4/12 - 7*x**3/6 + 8*x. Let z(q) = -q. Let t(v) = -b(v) - z(v). What is the second derivative of t(a) wrt a?
14
Let p be 1/2 - 9/(-6). What is the third derivative of 2*l**3 - 20*l**2 + p*l**3 + 16*l**2 wrt l?
24
Differentiate -8 + 75*u**2 - 20 - 26*u**2 - 5 wrt u.
98*u
Let f = -18 + 14. Let v(y) = 7*y**6 + 3*y**2 + 4. Let m(w) = 13*w**6 + 6*w**2 + 7. Let t(z) = f*m(z) + 7*v(z). Find the third derivative of t(l) wrt l.
-360*l**3
Let f(i) be the first derivative of 4*i**3/3 - 5*i**2/2 + 4. Find the second derivative of f(m) wrt m.
8
Let h(n) be the first derivative of 2 + 0*n**4 + 0*n + 0*n**2 + 0*n**5 + 3/7*n**7 + 0*n**6 - 5/3*n**3. What is the third derivative of h(q) wrt q?
360*q**3
Let y(c) = -c**2 - 2. Let m(o) = o**2 + 1. Let i = -13 - -18. Let k(n) = i*m(n) + 3*y(n). Differentiate k(x) wrt x.
4*x
Let m(j) = -13*j**2 - 22. Let n(x) = x**2 + 1. Let r(k) = m(k) + 4*n(k). Differentiate r(u) with respect to u.
-18*u
Let w = -67 - -97. Let n be 10*1*12/w. What is the third derivative of -9*m**4 + 5*m**2 + 12*m**n - 2*m**2 wrt m?
72*m
Let u(p) be the first derivative of -p**3 + 9*p + 12. What is the first derivative of u(z) wrt z?
-6*z
Let h(y) be the second derivative of -y**6/40 + y**4/4 + 2*y**2 + y. Let x(g) be the first derivative of h(g). What is the second derivative of x(l) wrt l?
-18*l
Let t(l) be the third derivative of 0*l**5 + 2/105*l**7 + 0 - 2*l**2 + 0*l - 1/24*l**4 + 0*l**3 + 0*l**6. Find the second derivative of t(c) wrt c.
48*c**2
Let f(n) be the second derivative of -n**5/24 - n**4/6 + 5*n**3/6 - 5*n. Let k(a) be the second derivative of f(a). Differentiate k(c) with respect to c.
-5
Let t(n) be the second derivative of -1/4*n**4 + 0*n**5 + 0*n**2 + 0*n**3 + 0*n**7 - 1/28*n**8 - 3*n + 0*n**6 + 0. Find