4)/(-6)) + 7. Find the first derivative of 5*r**4 + 3 - r**w + 0*r**4 wrt r.
16*r**3
Find the third derivative of -2*b**3 - 133*b**2 + 146*b**2 + 3*b**3 wrt b.
6
Let g be 29/9 - (-12)/(-54). Differentiate 5*b**3 - 2 + 5 - 2*b**3 + b**g with respect to b.
12*b**2
Let d(h) = h**3 + 6*h**2 + 4*h - 1. Let n = 1 - 6. Let l be d(n). What is the third derivative of -3*m**2 + l*m**6 - 5*m**6 - 3*m**6 wrt m?
-480*m**3
Let t(o) be the second derivative of -7*o**5/10 + 23*o**3/6 - 3*o. What is the second derivative of t(f) wrt f?
-84*f
Let b(o) = -o - 1. Let l(q) = -2*q**2 - 13*q - 5. Let d(s) = -10*b(s) + 2*l(s). Find the second derivative of d(v) wrt v.
-8
What is the third derivative of 79*x**2 + 0*x**4 - 84*x**2 + 2*x**4 wrt x?
48*x
Suppose 5*c - 25 = 0, 3*c = -n + c + 11. Let v(k) be the first derivative of -n + 2/3*k**3 + 0*k**2 + 2*k. Differentiate v(q) wrt q.
4*q
Let v(h) = 6*h**2 + 5*h. Let f be -4 + (3 - 3)/(-2). Let c(y) = 7*y**2 + 6*y. Let i(o) = f*c(o) + 5*v(o). What is the second derivative of i(p) wrt p?
4
Let v be (1 - (-12)/(-10))*-2. Let k(w) be the first derivative of -1/3*w**3 + 0*w**2 - v*w**5 + 0*w - 1 + 0*w**4. What is the third derivative of k(j) wrt j?
-48*j
Let q(y) = -20*y**4 - 5*y**3 + 5*y + 9. Let d(c) = -19*c**4 - 4*c**3 + 4*c + 10. Let b(l) = -5*d(l) + 4*q(l). What is the derivative of b(p) wrt p?
60*p**3
What is the second derivative of -4 - 6*l + 3*l + 12*l + 56*l**2 wrt l?
112
Let l(d) = d - 2. Let n be l(4). Let y(s) be the first derivative of s**n + 2*s**2 - 4*s**2 + s - 1. What is the derivative of y(z) wrt z?
-2
Let v(x) be the first derivative of 0*x**5 + 2 + 0*x + 0*x**3 - 1/6*x**6 - 3*x**2 + 0*x**4. Find the second derivative of v(s) wrt s.
-20*s**3
Let f(p) be the second derivative of p**5/20 + 5*p**2/2 + p. Differentiate f(s) wrt s.
3*s**2
Let d(z) be the first derivative of -z**6/2 - z**3 + 5. Find the third derivative of d(q) wrt q.
-180*q**2
Let u(n) = n**3 + 6*n**2 + n + 7. Let x be u(-6). Let d(a) = -1. Let s(w) = w**3 - 3. Let v(y) = x*s(y) - 4*d(y). Differentiate v(o) with respect to o.
3*o**2
Let b(c) = -c**3 + 29*c**2 + 28*c + 63. Let i be b(30). Let r(f) be the first derivative of 0*f - 2 - 1/2*f**2 + f**i. Find the second derivative of r(j) wrt j.
6
Let s(n) = 6*n**4 - 3*n**3 + 3*n**2 - 3*n + 10. Let g(q) = q**4 - q**3 + q**2 - q + 1. Let f(r) = -3*g(r) + s(r). What is the derivative of f(h) wrt h?
12*h**3
Let f(c) = -17*c**4 + 3*c**3 - 13*c**2 + 3. Let i(o) = -33*o**4 + 5*o**3 - 26*o**2 + 5. Let t(n) = 5*f(n) - 3*i(n). What is the third derivative of t(l) wrt l?
336*l
Let a be 1 + 0 + (-2 - -1). What is the second derivative of a*o**5 + o**5 - o - o wrt o?
20*o**3
Let i(u) = -3*u**4 + 17*u**3 - 9*u**2 + 17. Let a(o) = -o**4 + 6*o**3 - 3*o**2 + 6. Let z(m) = -17*a(m) + 6*i(m). Find the third derivative of z(r) wrt r.
-24*r
Let v(c) be the first derivative of -c**5/12 + 5*c**4/24 - 5*c**2/2 + 2. Let y(o) be the second derivative of v(o). Find the second derivative of y(d) wrt d.
-10
Let g(k) be the second derivative of -5*k + 1/12*k**4 + 0*k**7 + 0 + 0*k**3 + 0*k**2 - 1/28*k**8 + 0*k**6 + 0*k**5. What is the third derivative of g(b) wrt b?
-240*b**3
Let o(k) be the second derivative of 2*k**3/3 - 3*k**2 - 28*k. Find the first derivative of o(m) wrt m.
4
Let t(d) = -d**2 + 12*d + 16. Let z be t(13). What is the second derivative of 0*l**z + 0*l**3 - 6*l - l**3 wrt l?
-6*l
Let f be 1*(-3 + 5) + 2. What is the second derivative of -4 + 3*m**4 + 2*m**4 + 5*m + f wrt m?
60*m**2
Let y(m) be the third derivative of m**9/1512 - m**6/120 + m**3/3 - m**2. Let f(b) be the first derivative of y(b). What is the third derivative of f(c) wrt c?
120*c**2
Let z be 14/(-5)*(-15)/6. Suppose -3*v + z = 1. Differentiate 1 + 4*j - j - v*j with respect to j.
1
Let o = -97 + 971/10. Let z(a) be the second derivative of 3/2*a**2 + 0 - o*a**6 - 2*a + 0*a**4 + 0*a**5 + 0*a**3. Differentiate z(m) wrt m.
-12*m**3
Let j(o) be the second derivative of -37*o**5/20 + 10*o**4/3 - 24*o. What is the third derivative of j(u) wrt u?
-222
Let t(a) = a**4 - a**3 - a + 1. Let d(v) = 4*v**5 + 2*v**4 - 2*v**3 + 11*v + 2. Let x(r) = d(r) - 2*t(r). What is the second derivative of x(f) wrt f?
80*f**3
Let m be -3*2*(-3)/6. Suppose -2*k = m*k - 40. What is the third derivative of -6*h - 2*h + h**3 + k*h + h**2 wrt h?
6
Let i = -7 + 11. Let s be (-1)/i*-6*2. What is the second derivative of 2*w**5 + 5*w - s*w - 3*w wrt w?
40*w**3
Suppose -2*v - 19 = y - 6*y, -2*y + 4 = v. What is the third derivative of 5*a**6 + 14 - 14 - y*a**2 wrt a?
600*a**3
Let l(y) be the first derivative of 47*y**2/2 + 5*y + 2. Find the first derivative of l(j) wrt j.
47
Find the third derivative of -42*a**2 - 10*a**3 + 47*a**2 + 0*a**3 wrt a.
-60
Let i(z) be the second derivative of -z**7/21 - 3*z**4/4 + 2*z. Find the third derivative of i(n) wrt n.
-120*n**2
Let i be 1*(2 - 1)*3. What is the second derivative of 3*y**i - 24*y + 17*y + y**3 wrt y?
24*y
Let n(t) be the second derivative of 3*t + 0 - 7/2*t**2 - 1/3*t**4 + 0*t**3. What is the first derivative of n(o) wrt o?
-8*o
Let t be 2/(-1) + 66/11. Find the second derivative of 5*b**t + 11*b**4 - 13*b**4 + 7*b wrt b.
36*b**2
Suppose -28 = -k - 2*k - 2*v, -8 = -2*k + 4*v. Let l = 13 - k. Find the third derivative of -4*d**2 + d**5 + 0*d**l + 3*d**2 - d**2 wrt d.
60*d**2
Let o(h) = 2*h. Let w be o(-1). Let c be (-2)/4 - 17/w. Find the second derivative of c*a**2 - 8*a**2 + 2*a**4 + 2*a wrt a.
24*a**2
Let c(n) be the second derivative of -n**7/420 - n**4/8 + n**3/6 + 2*n. Let p(y) be the second derivative of c(y). What is the first derivative of p(b) wrt b?
-6*b**2
Let r be (4 - 0) + (-4 - -6). What is the third derivative of 2*t**2 + t**2 - 6*t**6 - 4*t**6 + 7*t**r wrt t?
-360*t**3
Let w(v) be the third derivative of v**6/360 - v**5/40 + v**4/12 - v**2. Let d(s) be the second derivative of w(s). What is the derivative of d(g) wrt g?
2
Let t(j) = -j**3 - j. Let b(w) = -w**5 + 6*w**3 - 7*w**2 + 6*w. Let l be (-4)/10 - (-96)/15. Let h(g) = l*t(g) + b(g). Find the third derivative of h(v) wrt v.
-60*v**2
What is the third derivative of 8*z**3 + 4*z**3 - 7*z**2 - 7*z**2 + 4*z**2 wrt z?
72
Let l(v) = -2*v + 2. Let h be l(3). Let a = 6 + h. Find the third derivative of -a*o**2 - 2*o**4 + 2*o**2 - 2*o**2 wrt o.
-48*o
Let j(m) be the third derivative of m**9/60480 + m**6/240 - m**5/30 - 3*m**2. Let u(s) be the third derivative of j(s). Differentiate u(o) wrt o.
3*o**2
Let j(d) = -2*d**3 - 7. Let k(v) = v**3. Let l = 24 + -25. Let o(q) = l*j(q) + 4*k(q). What is the derivative of o(f) wrt f?
18*f**2
Let j(p) = 17*p**2 + 48. Let d(v) = -84*v**2 - 239. Let g(h) = 2*d(h) + 11*j(h). What is the derivative of g(k) wrt k?
38*k
Let b(v) = v**6 - v**5 - v**2 + v. Let p(y) = 12*y**6 - 9*y**5 - 6*y**2 + 9*y. Let a(c) = 18*b(c) - 2*p(c). Find the third derivative of a(k) wrt k.
-720*k**3
Let r(j) = 5*j**4 + 3*j**3 - 3*j - 2. Let i(f) = 9*f**4 + 7*f**3 - 7*f - 3. Let t(h) = -3*i(h) + 7*r(h). Differentiate t(b) with respect to b.
32*b**3
Let c(g) be the third derivative of -g**6/120 - g**5/12 - g**4/8 + 5*g**3/6 - 2*g**2. Let z be c(-4). Differentiate -4*v + v + 4*v - z with respect to v.
1
Let s(n) be the third derivative of 0*n**4 + 0*n - 2*n**2 + 1/112*n**8 + 0 + 0*n**7 + 1/30*n**5 + 0*n**3 + 0*n**6. What is the third derivative of s(u) wrt u?
180*u**2
Let g(d) = 11*d**6 - 4*d**4 + 4*d**3 - 3*d**2 + 4*d. Let l(b) = b**4 - b**3 + b**2 - b. Let a(y) = g(y) + 4*l(y). Find the third derivative of a(m) wrt m.
1320*m**3
Let b(c) = -10*c**2 - 4. Let d(w) = 10*w**2 + 5. Suppose -5*y + 12 = -2*y. Let s(m) = y*b(m) + 3*d(m). Differentiate s(q) wrt q.
-20*q
Let j = 75 - 75. Let d(w) be the second derivative of -1/10*w**5 + j + 0*w**4 - 4*w - w**2 + 0*w**3. What is the derivative of d(q) wrt q?
-6*q**2
What is the third derivative of -12*n**3 + 7*n**2 - 3*n**2 + 0*n**2 wrt n?
-72
Let m(g) be the second derivative of -3/20*g**5 + 1/2*g**3 + 0*g**4 + 0 + 0*g**2 - g. Find the second derivative of m(t) wrt t.
-18*t
Let a(r) = -2*r**2 - 2*r. Let q be a(-3). Let k be 2/(-5) + q/(-5). What is the second derivative of -k*l - l**2 + 2*l**2 - 3*l**2 wrt l?
-4
Let b(a) = a + 17. Let d be b(-14). Find the third derivative of -2*x**3 + 5*x**3 - 6*x**d - 2*x**2 wrt 