 f(m) = 8*m**2 - 7. Let l(r) = -13*f(r) - 6*q(r). Differentiate l(w) with respect to w.
-16*w
Let b(f) = -2*f - 9. Let c be b(-6). What is the third derivative of -k**2 - k**2 - 3*k**3 + 8*k**c wrt k?
30
Let p = -3 - -5. Let x(n) be the first derivative of 0*n + 0*n**p - 1/3*n**3 + 2 + 1/2*n**4. What is the third derivative of x(t) wrt t?
12
Find the second derivative of -4*h**2 - 11*h - 3*h**2 + 2*h wrt h.
-14
Suppose 2*r + 30 = 2*a, -4 + 14 = r + 4*a. Let v be (-2)/3 - r/6. Differentiate -v + t + 3 - 1 with respect to t.
1
Let q(h) be the second derivative of 7*h**5/5 + h**3/3 + 13*h. What is the second derivative of q(d) wrt d?
168*d
Suppose -5*j + j = 0. Let w = j + 2. What is the derivative of 5 + 5*l**3 + l**w + 2*l**2 - 3*l**2 wrt l?
15*l**2
Let r(f) = -43*f - 46. Let g(w) = -29*w - 31. Let s(b) = -7*g(b) + 5*r(b). Differentiate s(y) with respect to y.
-12
Let t(u) be the second derivative of 19*u**5/10 + 23*u**2/2 + 37*u. Differentiate t(v) wrt v.
114*v**2
Find the first derivative of -y**2 + 4*y**2 - 5 - 4*y**3 - 3*y**2 wrt y.
-12*y**2
Let v(r) be the first derivative of -4*r**5/5 + 20*r + 10. What is the derivative of v(l) wrt l?
-16*l**3
Let w(q) = q - 5. Let y be w(7). Let m(j) = -j**2 - 6*j. Let f be m(-6). What is the derivative of -1 + f - 2 + y*l**2 wrt l?
4*l
Let b = 7 + -2. Suppose 3*t = 2*v - 0 + 2, 0 = -2*t + b*v - 6. What is the third derivative of 3*a**2 + 0*a**t - 4*a**2 - 2*a**6 wrt a?
-240*a**3
Let w(m) = 10*m**2 - 8*m. Let b(n) = -15*n**2 + 12*n. Let g(u) = u - 13. Let j be g(6). Let i(q) = j*w(q) - 5*b(q). What is the second derivative of i(c) wrt c?
10
Let c(b) = 2*b + 1. Let n be c(-1). Let o = 1 - n. Differentiate o + 0*q**2 - 4*q**2 + 3*q**2 wrt q.
-2*q
Let o(v) be the third derivative of 0*v**4 + 0*v**3 + 1/30*v**5 + 0 - 3*v**2 + 1/24*v**6 + 0*v. Find the third derivative of o(q) wrt q.
30
Let v(p) be the first derivative of -p**5/5 + p**4/6 - p - 2. Let m(q) be the first derivative of v(q). Find the third derivative of m(a) wrt a.
-24
Let j be -8*2/(-16)*2. What is the second derivative of -2*o**3 - 10*o + j - 2 + 8*o**3 wrt o?
36*o
Let g = 3 + 2. Differentiate -4*j**2 + g*j**2 - j**2 + j**2 + 1 wrt j.
2*j
Suppose 0 = -5*s - 3*p + 21, 5*s + p + 2 = 19. Let c(n) be the first derivative of s + 0*n - 1/2*n**2 - n**3. What is the second derivative of c(i) wrt i?
-6
Let q = -69 - -27. Let r be (q/(-2))/3 + -1. Differentiate -4 + 3*t + 2 - r*t - t with respect to t.
-4
Let u be (5 - 0) + 1 + 0. Find the third derivative of 3*m**6 - 5*m**6 - 2*m**2 + 4*m**u wrt m.
240*m**3
Let a(k) = -1 + 3 + k - 7*k. Let q(j) = 4*j - 1. Let f(o) = -5*a(o) - 8*q(o). Differentiate f(i) wrt i.
-2
Let l(j) = 19*j**5 - 2*j**3 - 41*j + 2. Let a(r) = -18*r**5 + 3*r**3 + 41*r - 3. Let s(u) = -2*a(u) - 3*l(u). Find the second derivative of s(x) wrt x.
-420*x**3
Let k(t) = t**3 + 3*t**2 + 2*t. Let u be k(-1). Let z(w) be the second derivative of 0 + w**2 + w - 1/6*w**4 + u*w**3. Differentiate z(f) wrt f.
-4*f
Let i = -23 + 26. Find the third derivative of -8*o**3 + 3*o**i - 2*o**2 - 4*o**2 - 2*o**2 wrt o.
-30
Let h(g) be the first derivative of 13*g**6/3 + 16*g**3/3 + 21. Find the third derivative of h(n) wrt n.
1560*n**2
Let s(o) be the second derivative of -5*o**4/6 + o**3 + 9*o. Find the second derivative of s(i) wrt i.
-20
Let o(h) be the third derivative of 3*h**2 + 0*h**3 + 0*h**4 + 1/30*h**5 - 1/24*h**6 + 0*h + 0. Find the third derivative of o(p) wrt p.
-30
Let z = -3 + 4. Let a be (7 + -3)/(3 - z). What is the derivative of -k**a + 0*k**2 - 2 + 0*k**2 wrt k?
-2*k
Let h(i) = 10*i**3 - 3*i**2 - 6. Let p(n) = -29*n**3 + 8*n**2 + 17. Let t(c) = 17*h(c) + 6*p(c). Find the third derivative of t(u) wrt u.
-24
Let l(m) = 7*m - 3. Let j = -32 - -53. Suppose 3 = -2*u + j. Let d(b) = -15*b + 7. Let g(k) = u*l(k) + 4*d(k). What is the first derivative of g(i) wrt i?
3
Suppose 3*d + d = 8. Find the third derivative of 2*t**6 - 7*t**3 + 7*t**3 + 4*t**d + 0*t**6 wrt t.
240*t**3
Let m = -8 - -2. Let f = m + 9. Find the first derivative of -a + 2*a + 1 - f wrt a.
1
Let p(s) = s**2 + 3*s - 7. Let b be p(-5). Let i be (b*2)/(15/10). Find the second derivative of 0*x - i*x + x - x**2 wrt x.
-2
Let o(n) = -5*n**2 - 2*n - 2. Let q(j) = -6*j**2 - j - 2. Let g(c) = -5*o(c) + 4*q(c). Let f be g(-6). Find the first derivative of -2*k + 1 + k**f + 2*k wrt k.
2*k
Let v(f) = 10*f**3 - 13*f + 4. Let g(i) = -i**3 + i + 1. Let a(d) = 4*g(d) - v(d). What is the second derivative of a(t) wrt t?
-84*t
Let o be (0 + -1 + 3)*-2. Let b(y) = 5*y**3 + 4*y + 6. Let h(u) = 9*u**3 + 7*u + 11. Let s(l) = o*h(l) + 7*b(l). Differentiate s(n) wrt n.
-3*n**2
Find the first derivative of -13 + 16*p**4 - 6 - 2*p**4 wrt p.
56*p**3
Let o(h) = -h**2 - 7*h - 7. Let n be o(-5). Let w be -2*(0 - (-2 - -4)). Find the third derivative of 2*u**2 + u**n - u**3 + u**w wrt u.
24*u
Let q(y) = 3*y**3 - y**2. Let r be q(1). What is the second derivative of -7*j + 2*j + 9*j**4 - r*j**4 wrt j?
84*j**2
Suppose 8*h - 6*h - 6 = 0. Find the second derivative of -a + 4*a**3 - h*a + 2*a - a**3 wrt a.
18*a
Let s(t) = t**2 + 5*t - 4. Let j be s(-6). What is the second derivative of 3*g**2 - 5*g + 0*g**2 + g**j wrt g?
8
What is the second derivative of 8*p - 2 + 2 - 5*p**3 - 4*p**3 wrt p?
-54*p
Let g(a) = a**3 + 7*a**2 - 9*a + 7. Let n be g(-8). What is the second derivative of -v**2 + n*v + 0*v**2 - 19*v wrt v?
-2
Let m(u) = 1. Let s(x) = 9*x**2 + 30. Let n(d) = 2*m(d) - s(d). Find the first derivative of n(r) wrt r.
-18*r
Let w(o) be the second derivative of -o**4/8 - o**3/3 + o**2/2 - 2*o. Let y(r) be the first derivative of w(r). What is the first derivative of y(v) wrt v?
-3
Let j(m) = -11*m**5 - 5*m**4. Let c(v) = -v**5 - v**4 - v. Let u(y) = 5*c(y) - j(y). What is the second derivative of u(q) wrt q?
120*q**3
Let a(w) be the second derivative of 53*w**6/30 + 7*w**4/12 + w**3/6 + 2*w - 1. Find the third derivative of a(b) wrt b.
1272*b
Suppose 0 = -0*s - 2*s. Let y = s + 2. Find the second derivative of 5*g**2 + 2*g - 5*g - y*g**2 wrt g.
6
Suppose -4*w = 3*g - 22, -2*g + 3*w - 12 = -w. What is the derivative of -2*c - c + 0 - g - 2*c wrt c?
-5
Let b(d) be the second derivative of -d**7/420 + d**6/360 - d**3/2 + 3*d. Let x(u) be the second derivative of b(u). What is the third derivative of x(w) wrt w?
-12
Let t(r) be the third derivative of r**7/5040 + r**6/360 - r**5/60 - 2*r**2. Let a(g) be the third derivative of t(g). Differentiate a(f) with respect to f.
1
Let y(o) = -o**2 - o. Let w(a) = 21*a**3 + 12*a**2 + 15*a. Let j(k) = w(k) + 15*y(k). What is the third derivative of j(i) wrt i?
126
Let t(x) be the third derivative of x**9/72 - 7*x**5/60 + 46*x**2. What is the third derivative of t(b) wrt b?
840*b**3
Let t(m) = -m**3 + m - 1. Let v(f) = 2*f**3 + 3*f + 9. Let d(c) = 3*t(c) - v(c). Find the first derivative of d(i) wrt i.
-15*i**2
Let m(w) = 3*w**3 + 4. Suppose s + 10 = 3*s. Let r(h) = 7*h**3 + 9. Let v = -2 + 0. Let x(f) = s*m(f) + v*r(f). Differentiate x(o) wrt o.
3*o**2
Find the second derivative of 120 - 16*r - 120 - 7*r**3 - 10*r**3 wrt r.
-102*r
Let g = 2 - -14. Find the second derivative of 16 - g - 2*v**2 + 5*v wrt v.
-4
Let w(d) = d + 14. Let g be w(-12). Let n(p) be the second derivative of p + 0*p**4 + 0 + 0*p**3 - 1/2*p**g + 1/20*p**5. What is the derivative of n(h) wrt h?
3*h**2
Let a(l) = -l + 7. Let b be a(5). Let q be 1/(1/(-1 + 3)). Find the first derivative of -b*r**2 - q + 0 + 3 wrt r.
-4*r
Let p be 3*8*(-2)/(-12). Suppose p*t = -c + 9, 4*t + c - 7 = t. Differentiate 2 + 1 - 4 + t*a with respect to a.
2
Let o = 21 - 12. Let v be ((-1)/3)/((-1)/o). What is the second derivative of 3*u + u**3 + 0*u**v - u wrt u?
6*u
Find the first derivative of 12 + 15 - 12*n**4 - 5*n + 5*n wrt n.
-48*n**3
Let x(w) = w**3 - w**2 + w - 1. Suppose 0*k - 2 = k. Let c(o) = -9*o**3 + 2*o**2 - 2*o - 3. Let m(r) = k*x(r) - c(r). Differentiate m(i) with respect to i.
21*i**2
Let y(q) = 0 + 3 - 4. Let h(d) = 8 - d + 2*d - 9. Let f(w) = h(w) + y(w). Find the first derivative of f(m) wrt m.
1
Let m(u) = -16*u - 29. Let a(r) = 32*r + 58. Let d(h) = 3*a(h) + 5*m(h). Differentiate d(p) wrt p.
16
Let c(l) be the second derivative of -l**7/30 + l**4/12 - 3*l**2 - 7*l. Let q(w) be the first derivative of c(