1
Let c(k) = -k**3 - 3*k**2 - 2*k + 1. Let b be c(-2). Suppose 0 = -2*o - 2*t - 3*t + 29, t = 2*o + b. Differentiate -2 + 2*p**o - 3*p**2 + 3*p**2 wrt p.
4*p
Let u(k) = -6*k**2 - 2*k**3 + 6 - 4*k**2 + 8*k + 2. Let d(s) = -s**2 + s + 1. Let m(r) = -8*d(r) + u(r). What is the third derivative of m(a) wrt a?
-12
Let k(z) = -z**2 - 6*z + 2. Let a be k(-6). Find the third derivative of 3*n**a + 2*n**2 + 0*n**2 + 2*n**3 - 6*n**3 wrt n.
-24
Let c(p) = -7*p - 4. Let i(h) = 3*h + 2. Let g(m) = m - 7. Let v be g(5). Let d(k) = v*c(k) - 5*i(k). Find the first derivative of d(z) wrt z.
-1
Suppose -54 = 4*d - 6*d. Suppose 0 = o - 5*i - d, 3*o - i + 9 = -4*i. What is the third derivative of 5*f**4 - f**6 - 5*f**4 - o*f**2 wrt f?
-120*f**3
Find the second derivative of k**2 - 5*k + 12*k**2 + 3*k**2 - 4*k wrt k.
32
Suppose 3*v + 3*f = 21, 3*f + 5 = 4*v + 12. Let t be ((-3)/v)/((-2)/4). What is the first derivative of 1 - t*d - 4 + 1 wrt d?
-3
What is the second derivative of -2 + 5 + 129*k**2 - 102*k**2 - 7*k wrt k?
54
Let g(a) = -34*a**5 - 3*a**4 + 69*a**2 + 3. Let h(p) = 35*p**5 + 4*p**4 - 68*p**2 - 4. Let j(z) = 4*g(z) + 3*h(z). What is the third derivative of j(f) wrt f?
-1860*f**2
Let u(w) be the first derivative of w**5/60 + w**4/3 + w**2/2 + 5. Let s(z) be the second derivative of u(z). Find the second derivative of s(b) wrt b.
2
Let x(y) be the first derivative of 8*y**3/3 - 3*y - 7. Differentiate x(g) with respect to g.
16*g
Suppose -2*w + 5 - 1 = 0. Find the second derivative of w*c**4 - c**5 + c**4 - 3*c**4 + c wrt c.
-20*c**3
Let a(z) be the first derivative of z**4/12 - z**3/3 + 3*z**2/2 - 4. Let k(d) be the second derivative of a(d). What is the derivative of k(n) wrt n?
2
Let r(v) be the first derivative of v**8/42 + 5*v**4/24 + 2*v**2 - 1. Let c(t) be the second derivative of r(t). Find the second derivative of c(q) wrt q.
160*q**3
Let p(x) = 24*x**5 + 12*x**2 - 3. Let i(u) = 25*u**5 + 11*u**2 - 4. Let n(m) = 3*i(m) - 4*p(m). Find the third derivative of n(r) wrt r.
-1260*r**2
Let v(j) be the second derivative of -j**9/3024 - j**6/120 - j**3 - 3*j. Let d(u) be the second derivative of v(u). Find the third derivative of d(w) wrt w.
-60*w**2
Let i(b) = -7*b + 2 + 2*b**4 - 3*b**5 + 7*b. Let o(w) = w**4 + w + 1. Let x(g) = -i(g) + 2*o(g). What is the second derivative of x(t) wrt t?
60*t**3
Let i(u) = -4*u**3 + 2*u**2 - 1. Let c be i(-1). What is the third derivative of -3*o**5 + c*o**5 + 3*o**2 + o**6 - 2*o**5 wrt o?
120*o**3
Suppose -2*n + 5 = -5. Suppose -3*l - 5*v = 16, 4*l - 12 + n = -v. Differentiate -5*a**3 + 2*a**3 - 1 + 3*a**3 - l*a**3 wrt a.
-9*a**2
Let d(s) be the first derivative of -s**6/40 + s**4/12 - 3*s**2/2 + 4. Let c(j) be the second derivative of d(j). Find the second derivative of c(i) wrt i.
-18*i
Let a(g) be the third derivative of 0*g + 1/12*g**4 + 5*g**2 + 0*g**3 + 0*g**5 + 1/120*g**6 + 0. Find the second derivative of a(b) wrt b.
6*b
Let v(a) be the first derivative of a**6/15 + a**3/3 - 4*a - 3. Let j(k) be the first derivative of v(k). What is the second derivative of j(c) wrt c?
24*c**2
Find the third derivative of 5*j**2 + 2*j**2 - 33*j**5 + 32*j**5 wrt j.
-60*j**2
Let z(i) be the third derivative of 3*i**5/10 - 3*i**4/8 - 24*i**2. Find the second derivative of z(h) wrt h.
36
Suppose -5*a + 24 = 5*j - 21, 36 = 4*a + 2*j. Suppose 0 = -2*v - 3 + a. What is the derivative of 4 - v + 2*w + 0*w wrt w?
2
Let v = -2 + 7. Suppose 0 = t - 5*g + v, 5*g - 4 - 1 = 0. Differentiate -2*q + t*q - 3 + q + 0*q with respect to q.
-1
Suppose 0*b - 4*t + 7 = b, -3*b - 4*t - 11 = 0. Let i = -4 - b. What is the third derivative of 4*g**5 - g**5 + g**2 - 4*g**i wrt g?
-60*g**2
Let c(z) be the second derivative of 7/20*z**5 + 0*z**4 + 0*z**2 + z**3 + 0 - z. Find the second derivative of c(h) wrt h.
42*h
Let r(m) be the first derivative of 2*m**5/5 + 20*m + 23. What is the first derivative of r(c) wrt c?
8*c**3
Let j(a) be the second derivative of -a**8/84 + a**5/60 + a**2 - 4*a. Let z(x) be the first derivative of j(x). What is the third derivative of z(n) wrt n?
-240*n**2
Let u(i) be the second derivative of 3*i**8/56 + 5*i**4/4 - 6*i. Find the third derivative of u(m) wrt m.
360*m**3
Let i(v) = -3*v - 17. Let w be i(-8). Find the second derivative of -2*l**2 - 5*l**2 - 7*l + 5*l - w*l wrt l.
-14
Let i(s) be the third derivative of 0*s - 1/12*s**5 - 2*s**2 + 0*s**4 + 0 + 1/3*s**3. What is the derivative of i(a) wrt a?
-10*a
Suppose 5*u = -0 + 35. Differentiate -1 - 7*k + 2*k + u*k with respect to k.
2
Let x(i) = 6*i**4 + 3*i**3 + 3*i**2 - 6*i + 3. Let j(l) = -l**3 - l**2 - l - 1. Let t(b) = 3*j(b) + x(b). Find the second derivative of t(s) wrt s.
72*s**2
Find the third derivative of -7*u**4 - 6*u**4 - 5*u**2 - 3*u**4 wrt u.
-384*u
Find the second derivative of -82*y**4 - y + 0*y + 81*y**4 + 8*y wrt y.
-12*y**2
Let z(w) be the second derivative of 0 + 0*w**2 - 4*w - 1/12*w**4 + 5/3*w**3. What is the second derivative of z(k) wrt k?
-2
Let s be 6 - (5 + (-4)/2). Find the second derivative of 4*p - 3*p - 7*p**s + p**3 + 3*p**3 wrt p.
-18*p
Find the third derivative of c**2 - 12*c**3 + 12*c**2 - 3*c**2 wrt c.
-72
Let j(k) = k**4 + k**2 - k - 1. Let q(d) = -2*d**2 + 2*d + 3. Let u(l) = 2*j(l) + q(l). Find the first derivative of u(x) wrt x.
8*x**3
Let n(q) be the third derivative of 4*q**2 + 0 - 1/20*q**6 + 0*q**5 + 0*q**4 - 1/2*q**3 + 0*q. Find the first derivative of n(l) wrt l.
-18*l**2
Let z(k) be the first derivative of 0*k + 2/3*k**3 + 3 + k**2. What is the second derivative of z(m) wrt m?
4
Let w(a) = -9*a**2 + 5*a + 7. Let t = -12 - -22. Let g(f) = 11*f**2 + f**2 - t - 7*f + f**2. Let b(u) = -5*g(u) - 7*w(u). Differentiate b(r) with respect to r.
-4*r
What is the first derivative of 4 - 18*i + 19*i - 18*i wrt i?
-17
Find the second derivative of 4*i**3 + 11*i - 2*i**3 + 15*i + 5*i**3 wrt i.
42*i
Let q(k) be the first derivative of k**7/280 - k**4/4 - 5*k**3/3 - 3. Let x(z) be the third derivative of q(z). Differentiate x(g) wrt g.
9*g**2
Suppose -8 = 3*u - 7*u. Suppose -u = -3*d + 7. Differentiate -2 - 2 + 5 + 2*p**d wrt p.
6*p**2
Let u(s) be the third derivative of 0*s + 0*s**5 - 2/3*s**3 + 3*s**2 + 0*s**4 + 1/30*s**7 + 0 + 0*s**6. What is the first derivative of u(t) wrt t?
28*t**3
Let w(n) be the third derivative of 2*n**7/21 + n**3/2 + 5*n**2. What is the derivative of w(j) wrt j?
80*j**3
Let f = -2789/30 - -93. Let z(q) be the second derivative of 1/4*q**4 - q + 0*q**2 + 0 + 0*q**3 + 0*q**5 + f*q**6. Find the third derivative of z(b) wrt b.
24*b
Find the third derivative of 5*j**2 - 9*j**3 + 12*j**3 - 4*j**2 - 45*j**2 wrt j.
18
Suppose -2*y + 1 = -7. Find the third derivative of -2*z**5 + z**4 - z**y - 2*z**2 + 0*z**2 wrt z.
-120*z**2
Let f(y) be the second derivative of y**9/756 + y**6/120 + 4*y**3/3 + 5*y. Let r(m) be the second derivative of f(m). Find the third derivative of r(p) wrt p.
240*p**2
Let j(b) be the third derivative of 31*b**7/210 + 2*b**5/15 - 10*b**2. Find the third derivative of j(u) wrt u.
744*u
Let c(l) = -l - 15. Let o be c(-15). Differentiate 0*d**3 + d**4 - 1 + 5*d**4 + o*d**3 with respect to d.
24*d**3
Let r(x) be the first derivative of -3*x**5/5 - 6*x**2 + 16. What is the second derivative of r(w) wrt w?
-36*w**2
Let i(u) be the second derivative of -u**8/2240 - u**5/60 - u**4/4 + 4*u. Let d(r) be the third derivative of i(r). Differentiate d(x) wrt x.
-9*x**2
Let a(f) = f**3 + 5*f**2 + 4*f + 4. Suppose 10 + 6 = -4*g. Let i be a(g). What is the derivative of 1 - 3*s**4 + 0*s**4 + 5*s**i wrt s?
8*s**3
Let q = 3 + -1. What is the second derivative of k - 4*k - 4*k**2 - q*k + 2*k wrt k?
-8
Suppose -4*z = 2*h - 20, -5*z + 5*h + 9 + 1 = 0. Find the first derivative of 8*w**4 - 5*w**z - 1 + 0*w**4 wrt w.
12*w**3
Let d(i) = i. Let t be d(3). Suppose t = -0*u + u. What is the third derivative of -2*c**2 + 3*c**u - 2*c**5 - 3*c**3 + 4*c**2 wrt c?
-120*c**2
Let s(h) be the first derivative of 0*h**2 - 2 - 1/2*h**4 + 0*h + 1/3*h**3. What is the third derivative of s(a) wrt a?
-12
Let c(p) = -p**3 + 5*p**2 - 4*p + 4. Let x be c(4). Find the second derivative of 2*l**x + l + 0*l + l**4 + l wrt l.
36*l**2
Let f(m) be the second derivative of m**10/15120 - m**7/1260 + m**4/12 - 2*m. Let i(q) be the third derivative o