 t*h(r) + u*m(r). Find the first derivative of q(y) wrt y.
3
Let m(t) be the second derivative of t**8/56 + 4*t**4/3 + 2*t. Find the third derivative of m(a) wrt a.
120*a**3
Let y(a) = a**4 + a. Let u(t) = -42*t**4 - 9*t - 3. Let d(h) = -2*u(h) - 18*y(h). Differentiate d(x) with respect to x.
264*x**3
Find the second derivative of -7*i**5 + 14*i**2 + 13*i**2 - 11*i - 27*i**2 wrt i.
-140*i**3
Let x(q) = 6*q**3 + 2*q**2 - 2*q + 1. Let p(b) = -13*b**3 - 5*b**2 + 5*b - 3. Let i(d) = -2*p(d) - 5*x(d). What is the first derivative of i(l) wrt l?
-12*l**2
Let c = 18 - 11. Differentiate -h + c - 5 + 0 with respect to h.
-1
What is the second derivative of -2*v**3 + 5*v**3 - 3*v**3 + 12*v + 10*v**5 wrt v?
200*v**3
Let c(r) be the second derivative of 13*r**7/42 - 2*r**3 - 13*r. Find the second derivative of c(w) wrt w.
260*w**3
Let q(s) = 13*s**4 - 7*s**3 + 2*s**2 + 2. Let t(y) = -26*y**4 + 16*y**3 - 5*y**2 - 4. Let z(i) = 5*q(i) + 2*t(i). Find the first derivative of z(r) wrt r.
52*r**3 - 9*r**2
Let b(j) be the third derivative of -7*j**5/12 - 13*j**3/3 - 19*j**2. Find the first derivative of b(m) wrt m.
-70*m
Find the third derivative of -25 - 37*x**2 + 25 - 48*x**3 wrt x.
-288
Let g(i) be the second derivative of 13*i**5/20 + i**4/6 + 5*i**2/2 + 5*i + 1. Differentiate g(b) with respect to b.
39*b**2 + 4*b
Let a(q) be the second derivative of 2*q**6/15 - q**2/2 + 7*q. What is the first derivative of a(s) wrt s?
16*s**3
Let x(v) be the third derivative of 5*v**8/168 + 53*v**4/24 - 18*v**2. Find the second derivative of x(s) wrt s.
200*s**3
Let m(u) = 11*u**4 + 3*u**3 - 3*u + 3. Let i(t) = -21*t**4 - 5*t**3 + 5*t - 6. Let j(x) = -3*i(x) - 5*m(x). What is the first derivative of j(z) wrt z?
32*z**3
Let j(m) = 3*m - 1. Let z(u) be the third derivative of -u**3/6 - 2*u**2. Let a(g) = -j(g) + 2*z(g). Find the first derivative of a(h) wrt h.
-3
Let l(a) be the second derivative of 5*a**8/56 + a**4/4 + 3*a**2 - a - 10. What is the third derivative of l(p) wrt p?
600*p**3
Suppose -5*c - 11 = -31. What is the third derivative of c*x**2 - 6*x**3 + x**3 - 3*x**2 wrt x?
-30
Let c(f) = 9*f**3 - 2*f**2 + 2*f + 17. Let t(g) = g**3 - g**2 + g. Let m(w) = -c(w) + 2*t(w). What is the first derivative of m(o) wrt o?
-21*o**2
Suppose 0 = -16*j + 12*j. What is the second derivative of 2*h - 10*h**3 + j + 0 + 7*h**3 wrt h?
-18*h
Let n be (-7)/2*84/(-49). Find the first derivative of -2 + 0 + 0 - n*v wrt v.
-6
What is the derivative of 11 + 51*a - 27 - 51*a + 24*a**2 wrt a?
48*a
Let t(w) = -w**3 - 4*w**2 + w + 5. Suppose 4*f + 0*f = -16. Let g be t(f). Differentiate g - l**2 + 0 - 3 wrt l.
-2*l
What is the second derivative of 3*g + g**4 + 4*g**4 - 4*g - 4*g**4 wrt g?
12*g**2
Suppose -3*a + 3 + 3 = 0. Suppose -3 = -a*x + x. What is the second derivative of -f + x*f - 2*f**3 + f wrt f?
-12*f
Let r(b) be the second derivative of 13*b**6/30 + 10*b**2 + 26*b. Find the first derivative of r(v) wrt v.
52*v**3
Let y(a) = -a**3 + 5*a**2 - 2*a - 4. Let p be y(4). Let q = p + 1. Differentiate 3 - 3*z + q*z - 4 with respect to z.
2
Differentiate 412 - 427 + 7*p**3 + p**3 wrt p.
24*p**2
Let j = 8 + -1. What is the third derivative of d**2 + j*d**6 + 0*d**2 + 2*d**2 wrt d?
840*d**3
Let d(j) be the third derivative of j**6/40 + j**3/3 + 3*j**2. Differentiate d(r) wrt r.
9*r**2
Suppose -40 = -4*c - 5*w, c - 4*c + 11 = -w. Suppose r - c*r = 0. Differentiate -3*d**2 - 1 + r*d**2 + 2*d**2 wrt d.
-2*d
What is the second derivative of -40*m - 6375 + 6375 + 11*m**3 wrt m?
66*m
Let s(x) be the third derivative of 5/24*x**4 + 10*x**2 + 0*x**3 + 0 + 0*x**5 + 7/120*x**6 + 0*x. What is the second derivative of s(g) wrt g?
42*g
Let w(t) be the second derivative of t**8/420 + t**4/24 - 7*t**3/6 + t. Let y(i) be the second derivative of w(i). What is the derivative of y(u) wrt u?
16*u**3
Let z(k) be the second derivative of -k**7/6 - k**5/20 + 37*k**3/6 + 41*k. What is the second derivative of z(i) wrt i?
-140*i**3 - 6*i
Suppose 3*d - 3 - 6 = 0. Let w = 13 - 13. What is the derivative of 2 + w - 2 + d - 3*i**3 wrt i?
-9*i**2
Let x(t) be the second derivative of -t**6/5 - 7*t**4/12 - 10*t. Find the third derivative of x(c) wrt c.
-144*c
Let w(p) be the second derivative of p**8/336 - 5*p**4/24 + 3*p**2 + 9*p. Let g(n) be the first derivative of w(n). What is the second derivative of g(m) wrt m?
20*m**3
Suppose -4*p = 2*n - 30, 0 = -4*p + 7 + 13. Let h(o) = -o + 1. Let f be h(-1). What is the second derivative of 5*z - z**n + f*z**5 - 3*z wrt z?
20*z**3
Let w(n) be the third derivative of -n**5/12 + n**4/6 + 7*n**2. What is the second derivative of w(l) wrt l?
-10
Differentiate 27 - 5*v + 2*v + 13*v + 3 with respect to v.
10
Let z be (-6)/4 + (-39)/(-6). What is the second derivative of -z*k + 4*k + 3*k + 2*k**3 - 4*k wrt k?
12*k
Let g(h) be the third derivative of -h**6/12 - 3*h**4/8 - 5*h**2. What is the second derivative of g(k) wrt k?
-60*k
Let w(h) be the first derivative of h**6/120 + h**5/20 + h**2 - 2. Let q(b) be the second derivative of w(b). What is the third derivative of q(g) wrt g?
6
Let m(p) = -1. Let n(j) = -6*j - 6. Let y(z) = 5*m(z) - n(z). Find the first derivative of y(f) wrt f.
6
Let g(b) = -7*b**2 - 27*b. Let v(h) = -13*h**2 - 53*h. Let f(l) = -11*g(l) + 6*v(l). Find the second derivative of f(i) wrt i.
-2
Let a = -11 - -16. Find the third derivative of -10*r**5 + 2*r**4 + 5*r**2 - 2*r**4 + 4*r**a wrt r.
-360*r**2
Let j(c) be the first derivative of 2 - 1/4*c**4 + 0*c**2 + c**3 + 0*c. What is the third derivative of j(t) wrt t?
-6
Let w(z) = 2*z**3 - 5*z**2 + 5*z + 3. Let k(c) = -c**3 + 6*c**2 - 6*c - 4. Let x(q) = -5*k(q) - 6*w(q). What is the first derivative of x(m) wrt m?
-21*m**2
What is the first derivative of 2*s**2 - 6*s**2 - 14 + 0*s**2 wrt s?
-8*s
Let n(b) be the third derivative of -3*b**5/10 - b**3/6 + 15*b**2. What is the derivative of n(a) wrt a?
-36*a
What is the derivative of 13*z**2 + 48 - 53 + 27*z**2 wrt z?
80*z
Let k(j) = j**5 + 2*j**4 - 4*j - 2. Let q(x) = -x**5 - 3*x**4 + 4*x + 3. Let t(c) = -3*k(c) - 2*q(c). Find the second derivative of t(m) wrt m.
-20*m**3
What is the first derivative of -7*s**4 + 1 - 5 - 3 wrt s?
-28*s**3
Let u(k) be the third derivative of k**5/12 - 3*k**3 + 3*k**2. Find the first derivative of u(z) wrt z.
10*z
Let h(m) be the first derivative of -1/4*m**4 + 0*m**3 + 4 + 0*m + 2*m**2. What is the second derivative of h(p) wrt p?
-6*p
Let t(y) be the third derivative of 8*y**2 + 0*y**4 + 0*y + 7/120*y**6 + 0*y**5 - 7/6*y**3 + 0. Differentiate t(v) wrt v.
21*v**2
Suppose 4*t - 8 = -4*r, t - 2*t - 10 = -5*r. Find the third derivative of r*k**2 + 0*k**2 + 0*k + 0*k + 3*k**3 wrt k.
18
Let x(i) = -i**4 + 9*i**2 - 3*i - 3. Let p(b) = -3*b**4 + 17*b**2 - 5*b - 5. Let v(r) = -3*p(r) + 5*x(r). What is the third derivative of v(g) wrt g?
96*g
Let y(q) = -4*q - 7. Let t(m) = 2*m + 3. Let u(f) = -f**2 - 10*f + 2. Let b be u(-11). Let w(n) = b*t(n) - 4*y(n). What is the first derivative of w(r) wrt r?
-2
Suppose -13*b = -12*b - 5. Find the first derivative of -4*g**3 - 9 + b*g**3 - 2*g**3 wrt g.
-3*g**2
What is the second derivative of -1 + 16*w**2 - 7*w - 20*w**2 + 1 wrt w?
-8
Let q(f) = -2 - 7*f**3 + 2*f**3 + f + 6*f**3 + 3. Let m(u) = 3*u**3 - 2*u - 3. Let d(y) = m(y) + 2*q(y). Find the first derivative of d(b) wrt b.
15*b**2
Let u(y) be the first derivative of -y**6/40 - y**4/3 + 5*y**2/2 + 4. Let j(h) be the second derivative of u(h). What is the second derivative of j(m) wrt m?
-18*m
Let q(l) = 6*l + 10. Let g = 2 - 4. Let d(p) be the second derivative of p**3/6 + p**2 - 5*p. Let a(i) = g*q(i) + 11*d(i). Differentiate a(k) with respect to k.
-1
Let h(z) = -z**2 + 4*z - 3. Suppose -5*w - 2*m = -w - 20, 3*w - m = 5. Let c be h(w). Find the second derivative of -3*p**2 - 3*p + c*p + p**2 wrt p.
-4
Let j(o) be the first derivative of -2/5*o**5 + 0*o**4 + 0*o**3 + 0*o - 1 - o**2. What is the second derivative of j(s) wrt s?
-24*s**2
Let t(c) be the third derivative of -5*c**8/336 + c**4/6 + 16*c**2. What is the second derivative of t(h) wrt h?
-100*h**3
Let i(r) = -9*r**2 + 3*r. Let z(q) be the first derivative of -10*q**3/3 + 2*q**2 - 4. Let p(c) = -6*i(c) + 5*z(c). Find the second derivative of p(b) wrt b.
8
Suppose -6*j = -2*j. Suppose j = -u -