r**2 + 2
Let m(k) = -k**2 - k + 1. Let x(u) = 7*u**4 + 2*u**2 + 2*u + 2. Let r(n) = 2*m(n) + x(n). Differentiate r(c) wrt c.
28*c**3
Let w be (-2)/(-7) - 12/(-7). Differentiate -y**3 - 5*y**w + 5*y**2 + 2 wrt y.
-3*y**2
What is the second derivative of -1 + 0 + 5 - 4*o**3 - o + 3*o wrt o?
-24*o
Find the third derivative of 25*z**2 + 11*z**4 - 6*z**2 - 19*z**4 - 34*z**4 wrt z.
-1008*z
Let r be 18/2*(1 - 0). Find the third derivative of -4*n**2 + r*n**3 - n**3 - 7*n + 7*n wrt n.
48
Let b(w) be the second derivative of w**6/2 - 37*w**4/12 - 16*w. What is the third derivative of b(h) wrt h?
360*h
Let m(l) be the third derivative of l**6/20 + 17*l**3/6 + 16*l**2. What is the derivative of m(g) wrt g?
18*g**2
Let b(d) = d**2 + 2*d - 5. Let n be b(-4). Find the second derivative of -6*y + 5*y**n - 5 + 5 + 0 wrt y.
30*y
Find the third derivative of -12*u**6 - 8*u**2 - 28*u + 28*u wrt u.
-1440*u**3
Let n(j) be the third derivative of -5*j**4/24 - 10*j**3/3 + 19*j**2. Differentiate n(a) with respect to a.
-5
Let t = -7 - -13. What is the second derivative of 0*m + 6*m + t*m**3 - 2*m - 3*m wrt m?
36*m
Let s(l) be the second derivative of 0*l**4 - l + 0*l**2 + 0 + 1/3*l**3 - 3/20*l**5. Find the second derivative of s(d) wrt d.
-18*d
Let y(m) = m**4 - m**2 - 1. Let v(q) = -q**6 + 5*q**4 - 8*q**2 - 5. Let x(k) = -v(k) + 5*y(k). What is the third derivative of x(h) wrt h?
120*h**3
Let m(s) be the first derivative of 5*s**6/6 - 7*s**2/2 + 7. What is the second derivative of m(l) wrt l?
100*l**3
Let x(c) be the first derivative of c**8/84 + c**5/20 + 3*c**2 - 1. Let u(j) be the second derivative of x(j). What is the third derivative of u(o) wrt o?
240*o**2
Let d(h) be the second derivative of h**6/15 - h**3/6 + 19*h. Find the second derivative of d(t) wrt t.
24*t**2
Let r(l) = 2*l**2 - 11*l - 2. Let f(o) = o**2 - 11*o - 3. Let v(c) = 2*f(c) - 3*r(c). What is the second derivative of v(x) wrt x?
-8
What is the first derivative of -12 + 6 - 4 - 10*b wrt b?
-10
Find the first derivative of 5 - 4*d**2 - d**2 + d**2 wrt d.
-8*d
Let c(s) = 6*s**3 - 4*s**2 + 10*s - 4. Let m(g) = -11*g**3 + 9*g**2 - 21*g + 9. Let d(b) = 9*c(b) + 4*m(b). What is the second derivative of d(t) wrt t?
60*t
Let s(i) = -i - 4. Suppose -6 = -m - 0. Let p(b) = 2*b + 1 + m - 2. Let v(f) = -3*p(f) - 4*s(f). Find the first derivative of v(q) wrt q.
-2
Differentiate 3 + 4 + 3 + 6*h - 4 with respect to h.
6
Let r(p) be the second derivative of 1/3*p**3 + 0 + 2*p**2 + 5*p. Find the first derivative of r(i) wrt i.
2
Let l be (0 - 2) + (-6)/(-1). What is the third derivative of -l*h**2 - h**3 - h**3 + 2*h**3 - 4*h**3 wrt h?
-24
Let o be (-18)/(-8)*32/12. Let a = -4 + o. Find the third derivative of -h**3 - h**2 + 2*h**4 + h**3 + 2*h**a wrt h.
48*h
Let p(y) be the second derivative of 0*y**2 - 4*y - 1/28*y**8 + 0 + 0*y**7 + 0*y**6 + 0*y**5 + 0*y**3 + 1/6*y**4. What is the third derivative of p(u) wrt u?
-240*u**3
Let s = 0 - 3. Let u = -1 - s. What is the first derivative of 0*l**u + 4*l**2 + 2 - 2*l**2 wrt l?
4*l
Let f = 25 - 19. What is the third derivative of t**4 - 5*t**f - t**4 - 12*t**2 + 9*t**2 wrt t?
-600*t**3
Let u(b) = -b - 1. Suppose 5*m - 14 = 1. Let g(f) = -f + 5*f + 7 + m*f. Let v(x) = g(x) + 6*u(x). Find the first derivative of v(y) wrt y.
1
Let g(k) be the third derivative of k**8/3360 + k**6/120 - k**5/12 - 7*k**2. Let i(n) be the third derivative of g(n). Differentiate i(v) wrt v.
12*v
Let a(n) be the third derivative of -n**8/42 - n**4/3 - 6*n**2. Find the second derivative of a(f) wrt f.
-160*f**3
Suppose 0 = a + 5, 2*a - 2 = k + 3*a. Suppose -2*c - 1 = -k. Differentiate c + 4*n**4 - n**4 - 2 with respect to n.
12*n**3
Let n(g) be the first derivative of -26*g**3/3 + 27*g**2 - 58. What is the second derivative of n(v) wrt v?
-52
Let n be ((-2)/1 + 0)/(-2 + 1). Let i(s) be the second derivative of 0 + 1/12*s**4 + s + 0*s**3 - s**n. Differentiate i(l) with respect to l.
2*l
What is the third derivative of -11*x**4 - 2*x + 2*x**2 - 2*x**4 + 2*x wrt x?
-312*x
Let q(h) be the third derivative of -2*h**5/15 + 7*h**3/6 - h**2. Let d(p) = -7*p**2 + 6. Let s(t) = 6*d(t) - 5*q(t). What is the derivative of s(z) wrt z?
-4*z
Let c = 0 + 0. Let t = 3 + -1. Find the third derivative of c*r**6 - 8*r**2 + 9*r**t + 2*r**6 wrt r.
240*r**3
Let w(j) = -j**3 + 3*j**2 - 3*j + 2. Let f be w(2). Suppose p - 2 = -f. Differentiate m**3 + m**3 + 4 - p*m**3 + 3*m**3 with respect to m.
9*m**2
Suppose -23 = -3*l + 10. What is the third derivative of -l*t**4 - 5*t**2 + 2*t**4 + 10*t**4 wrt t?
24*t
Let p(w) be the second derivative of w**6/6 - 2*w**3/3 + 17*w. Find the second derivative of p(q) wrt q.
60*q**2
Let l(b) be the third derivative of 7*b**5/30 - 5*b**3/2 - b**2. What is the first derivative of l(h) wrt h?
28*h
Let a(n) = n**3 - n**2 - n - 1. Let b(c) = 25*c**4 + 2*c**3 - 2*c**2 - 2*c + 31. Let o(p) = 2*a(p) - b(p). Differentiate o(y) with respect to y.
-100*y**3
Let n(z) be the second derivative of -z**4/12 - 7*z**3/6 + 6*z. What is the second derivative of n(l) wrt l?
-2
Find the second derivative of -c**2 + 0*c - 4*c**2 + c wrt c.
-10
Let a = 7 + 4. Find the second derivative of -a*y + 5*y**3 + 9*y + 0*y**3 wrt y.
30*y
Let j(a) be the second derivative of -3*a**5/4 - 9*a**2/2 - 4*a. What is the first derivative of j(m) wrt m?
-45*m**2
Suppose -55 = -5*l - 3*p, 3*l - 2*p - 3 = 30. Find the second derivative of 2*b + 2*b**4 - l*b**4 - 9*b wrt b.
-108*b**2
Let o(v) = v**2 - 7*v + 8. Let n be o(7). Differentiate 13 + n + 3*f**3 - 15 wrt f.
9*f**2
Let f be (2 - (11 - 6))/((-2)/2). Let p(d) be the first derivative of 0*d**2 + 1 - 2/3*d**f - 3*d. Find the first derivative of p(w) wrt w.
-4*w
Let x(o) = 19*o**4 - 7*o**2 - 7*o - 25. Let k(r) = -9*r**4 + 4*r**2 + 4*r + 13. Let t(u) = 7*k(u) + 4*x(u). Differentiate t(i) with respect to i.
52*i**3
Let q(o) be the second derivative of 2*o**4/3 + 3*o**2 + 6*o. Differentiate q(p) wrt p.
16*p
Let n(f) = f**3 - f - 1. Let l(y) = 2*y**4 - 12*y**3 + 12*y + 10. Let j(u) = -l(u) - 12*n(u). What is the first derivative of j(c) wrt c?
-8*c**3
What is the derivative of 0*x - 3*x - 1 - 4*x wrt x?
-7
Let x(l) be the first derivative of 24*l**5/5 - 23*l**2/2 - 21. Find the second derivative of x(u) wrt u.
288*u**2
Let l(n) be the second derivative of n**5/20 + 3*n**4/8 - n**3/6 - 4*n. Let g(c) be the second derivative of l(c). Find the first derivative of g(f) wrt f.
6
Let o = 4 - -5. Suppose -5*h + o = -2*h. What is the third derivative of -t**2 - h*t**4 - 2*t**5 + 3*t**4 wrt t?
-120*t**2
Let k(j) = -4*j**4 - 4*j**3 + j. Let i(c) = 4*c**4 + 5*c**3. Let f(y) = 4*i(y) + 5*k(y). What is the second derivative of f(r) wrt r?
-48*r**2
Let d(o) be the second derivative of -13*o**7/42 - 4*o**3/3 + 27*o. Find the second derivative of d(u) wrt u.
-260*u**3
Let o(s) be the third derivative of s**8/2240 - s**7/840 - s**4/24 - s**2. Let h(x) be the second derivative of o(x). Find the third derivative of h(w) wrt w.
18
Let r(m) = -45*m**3 + 21*m**2 + 21*m - 9. Let h(s) = -11*s**3 + 5*s**2 + 5*s - 2. Let d(j) = -21*h(j) + 5*r(j). What is the first derivative of d(a) wrt a?
18*a**2
Let p(l) = l - 12. Let m be p(13). Let u(b) = -b**2. Let j(h) = -6*h**2 + 4*h. Let n(q) = m*j(q) - 3*u(q). What is the second derivative of n(r) wrt r?
-6
What is the derivative of -7 + 11 - 12 + 8*p wrt p?
8
Let b(l) = 2*l**2 - 6*l + 4. Let t(m) = -5*m**2 + 13*m - 8. Let f(x) = 13*b(x) + 6*t(x). What is the first derivative of f(c) wrt c?
-8*c
Let s(p) be the second derivative of -p**6/15 + p**4/12 - 3*p. Find the third derivative of s(m) wrt m.
-48*m
Let y(x) = -27*x - 24. Let a(w) = 8*w - 17*w - 2 - 6 + 0. Let b(n) = 11*a(n) - 4*y(n). Differentiate b(g) with respect to g.
9
Let u(q) = 5*q**3 - q**2 + 6. Let t = 13 - 7. Let o(h) = 4*h**3 + 5. Let x(k) = t*o(k) - 5*u(k). What is the third derivative of x(c) wrt c?
-6
Let d(q) = q**2 + 6*q + 8. Let n be d(-2). Suppose 0 = 4*r + r - 10. What is the derivative of 0*y**2 + n*y**r + 1 + y**2 wrt y?
2*y
Let r(a) be the first derivative of a**6/360 + a**5/40 + a**3 - 1. Let n(c) be the third derivative of r(c). Find the second derivative of n(i) wrt i.
2
What is the third derivative of 2*r**2 - 2*r**3 + 7*r**2 - r**3 wrt r?
-18
Find the third derivative of -33*l**6