 - 1. Let m be i(-2). Let r(y) = -y + 7. Let z be r(6). Differentiate -z + d**2 + m + 3 - 3*d**2 wrt d.
-4*d
Find the first derivative of 15*b**4 - 4 + 10 + 3*b**4 - 3 wrt b.
72*b**3
What is the third derivative of -537 + 558 + 2*s**2 - s**4 + 29*s**3 - s**3 wrt s?
-24*s + 168
Suppose -2*m + 4 = -0*m. Suppose -m*s - 2*s - 12 = -5*b, -b = s - 6. What is the third derivative of -s*x**6 - 11*x**2 + x**6 + 9*x**2 wrt x?
-120*x**3
Let u(j) be the third derivative of j**7/42 + j**4/12 - 3*j**2. Find the second derivative of u(c) wrt c.
60*c**2
Let g(n) = -n**3 - 8*n**2 + 4. Let h be g(-8). What is the derivative of -6*w + h - 4*w - w**2 + 10*w wrt w?
-2*w
Let k(b) be the second derivative of -2*b**6/15 - 7*b**4/6 + 14*b. Find the third derivative of k(i) wrt i.
-96*i
Suppose 9*z = 11*z. Let u(d) be the second derivative of 2*d + 0*d**2 + z*d**4 + 1/10*d**5 + 0 + 1/6*d**3. Find the second derivative of u(q) wrt q.
12*q
Suppose -a - 15 = -4*i, 3*i - 2*i - 3*a = 1. Differentiate 5 - 3*c**i - 8 + 2*c**4 - 1 with respect to c.
-4*c**3
Let q = 2 - 0. What is the second derivative of -z**5 - z + 0*z**q + 0*z**2 - z wrt z?
-20*z**3
Suppose y - 3 = 2*i, i + 0*i - 3 = -y. Let g(b) = -5*b + 6. Let r(t) = t + 1. Let p(s) = y*r(s) + g(s). Find the first derivative of p(l) wrt l.
-2
Differentiate -13 + 17*f**4 - 30 + 26 with respect to f.
68*f**3
Let k(h) = -h**4 - 2*h**3 + 9*h + 2. Let w(n) = 4*n**4 + 9*n**3 - 36*n - 9. Let z(m) = -9*k(m) - 2*w(m). Find the second derivative of z(s) wrt s.
12*s**2
Let v(o) be the third derivative of o**2 - 1/30*o**5 + 0*o**6 + 0*o**4 + 0*o**3 - 1/112*o**8 + 0 + 0*o + 0*o**7. What is the third derivative of v(y) wrt y?
-180*y**2
Suppose -d = s + 3*s - 16, -2*d - 3*s + 17 = 0. Suppose -2*t = -4*t + d. What is the first derivative of a**2 + 2*a**3 + 3 + 0*a**t - a**2 wrt a?
6*a**2
Let q be ((-3)/6)/(1/(-3) - 0). Let k(z) be the first derivative of 0*z - 1/3*z**3 - 1 - q*z**2. What is the second derivative of k(i) wrt i?
-2
Find the third derivative of -377*o**3 + 377*o**3 - 29*o**2 - 8*o**5 - 10*o**5 wrt o.
-1080*o**2
Differentiate 3 + 3 + 4*a - 3*a - 9*a wrt a.
-8
What is the second derivative of -2*h + 16*h**2 - 6*h**3 - 16*h**2 + 0*h**3 wrt h?
-36*h
Differentiate 14*w + 51 - 18 - 4*w with respect to w.
10
Let l be 10/(-10) - -2*1. What is the derivative of l - 10*d**2 - 1 + 2*d**2 - 4 wrt d?
-16*d
Let a(s) be the second derivative of 0*s**4 - 5*s + 1/21*s**7 + 0*s**5 - s**3 + 0*s**2 + 0 + 0*s**6. Find the second derivative of a(c) wrt c.
40*c**3
Let n(m) = m**3 + m. Let c be ((-2)/(-4))/(5/30). Let h(k) = 5*k**c + 0 + 2 - 1 + 6*k. Let l(a) = -h(a) + 6*n(a). What is the first derivative of l(w) wrt w?
3*w**2
Let d(x) be the first derivative of 2*x + 0*x**2 + 3 - 2/3*x**3. Differentiate d(j) with respect to j.
-4*j
Let j(f) be the second derivative of -f**7/70 + f**4/12 - f**2/2 - f. Let h(v) be the first derivative of j(v). Find the second derivative of h(t) wrt t.
-36*t**2
Let f(s) be the first derivative of -7*s**6/120 - s**3/3 + s**2 - 3. Let k(a) be the second derivative of f(a). What is the first derivative of k(v) wrt v?
-21*v**2
Let d be -2 + -2 + 2 + 1. Let p be 64/12 - d/(-3). Find the second derivative of 0*a**5 - 2*a**p - a - a wrt a.
-40*a**3
Let d(c) be the second derivative of -c**3/3 + 9*c**2/2 - 6*c. Find the first derivative of d(w) wrt w.
-2
Let j(f) be the first derivative of 55*f**6/6 + 5*f**3/3 + f - 49. Find the third derivative of j(c) wrt c.
3300*c**2
Differentiate 14*z**3 - 4*z**3 + 9 + 1 wrt z.
30*z**2
Suppose -s + 12 - 8 = 0. Find the second derivative of 5*x - x**3 + s*x - 4*x wrt x.
-6*x
Let j(h) be the third derivative of h**8/84 + 7*h**5/60 + 7*h**2. What is the third derivative of j(y) wrt y?
240*y**2
Let m be 3/6*2 + -1. Suppose -4*s + 3*o - 6*o = -20, m = -4*s - 5*o + 20. What is the second derivative of k + k + k**5 + 3*k**s wrt k?
80*k**3
Let z be 124/6 + (-1)/(-3). Suppose -5*t = -z + 1. Find the third derivative of h**2 - h**4 + h**2 + 2*h**t wrt h.
24*h
Let q(s) = -19*s**3 - 6. Let d(x) = 39*x**3 + 13. Let w(o) = -4*d(o) - 7*q(o). What is the first derivative of w(b) wrt b?
-69*b**2
Suppose 3*r + 5*y - 6 = 0, r + 2 = 2*r - 2*y. Find the third derivative of -15*o**r + 3*o**3 + 4*o**2 + o**3 wrt o.
24
Let x(v) = 41*v**4 - 3*v**3 + 3*v**2 + 30. Let u(t) = -41*t**4 + 4*t**3 - 4*t**2 - 29. Let g(n) = 3*u(n) + 4*x(n). Differentiate g(c) with respect to c.
164*c**3
Let a = 0 + 5. What is the first derivative of 0 - 2*b**2 + b**2 - 2 + a wrt b?
-2*b
Let s(r) be the second derivative of -2*r**7/105 - r**3/3 - r**2 - 4*r. Let u(w) be the first derivative of s(w). Differentiate u(p) wrt p.
-16*p**3
Find the second derivative of 6*c + 26*c**5 - 13*c**4 + 13*c**4 wrt c.
520*c**3
Let g(h) be the second derivative of -h + 1/10*h**6 + 0 + 0*h**5 + 0*h**3 + 2*h**2 + 0*h**4. Differentiate g(v) wrt v.
12*v**3
Let d(z) be the first derivative of 0*z**2 - 2/3*z**3 + 0*z**4 - 2/5*z**5 + 0*z + 1. What is the third derivative of d(v) wrt v?
-48*v
Let t(r) be the second derivative of -5*r**4/6 + 5*r**3/2 + 14*r. What is the second derivative of t(w) wrt w?
-20
Let p(y) = y**5 - y**4 + y**2 - y. Let b(l) = 19*l**5 + 6*l**4 - 6*l**2 - 27*l. Let c(j) = -b(j) - 6*p(j). What is the second derivative of c(f) wrt f?
-500*f**3
Let d(l) be the first derivative of l**8/560 + l**6/360 + 2*l**3/3 + 1. Let x(c) be the third derivative of d(c). Find the third derivative of x(o) wrt o.
72*o
Let j(t) = -4*t. Let v(f) = 2*f**2 - f. Let s be v(-1). Let b(l) = -5*l - 1. Let g(q) = s*j(q) - 2*b(q). Find the first derivative of g(d) wrt d.
-2
Let y(z) = -z**6 - 5*z**4 - 2*z**2. Let c(t) = t**6 + 4*t**4 + t**2. Let p(b) = -5*c(b) - 4*y(b). Find the third derivative of p(a) wrt a.
-120*a**3
Let d = 17 - 9. Let h(i) = i**2 - 21. Let s(q) = q**2 - 14. Let u(a) = d*s(a) - 5*h(a). Find the first derivative of u(x) wrt x.
6*x
Let d = 11 + -9. Find the second derivative of -4*z**4 + 2*z**3 - 4*z**3 - 3*z + d*z**3 wrt z.
-48*z**2
Let b be 2/(-7) - (-65)/7. Let c(h) = -h**3 + 8*h**2 + 10*h - 6. Let g be c(b). Find the second derivative of -v - v**2 + g*v + 0*v**2 wrt v.
-2
Suppose -15 = -6*b + b. Find the second derivative of -3*r + 5*r + 3 + r**2 - b wrt r.
2
Let r be 63/3*2/3. Let i be ((-2)/7)/((-2)/r). Find the second derivative of -2*o + 2*o - 3*o - o**2 - i*o**2 wrt o.
-6
Let d be (1 - -2)/(-3) + 3. Suppose v + 24 = 5*v + 4*o, -d*o + 16 = 4*v. What is the third derivative of j**2 + j**6 - 2*j**6 + v*j**6 wrt j?
120*j**3
Let j(f) be the third derivative of f**7/840 + f**5/40 - f**4/12 + 2*f**2. Let i(g) be the second derivative of j(g). Find the first derivative of i(m) wrt m.
6*m
Let w(r) = 2*r - 10. Let i be w(7). Suppose 0 = -2*n + i*n. What is the third derivative of 4*f**2 - 3*f**4 + 4*f**4 + 2*f**4 + n*f**4 wrt f?
72*f
Find the third derivative of -3*h**2 - 5*h**3 - 18*h + 18*h wrt h.
-30
Let c(y) be the third derivative of -7*y**6/120 - 5*y**3/6 - 2*y**2 - 26*y. Differentiate c(l) wrt l.
-21*l**2
Let n be (1 - 1)/2 - 0. What is the second derivative of -c + n*c**3 - c + c**3 + 0*c**3 wrt c?
6*c
What is the second derivative of -6*n**5 + 3*n + 8*n**5 + 8*n**5 wrt n?
200*n**3
Suppose -5*l + 12 = -18. What is the third derivative of -d**2 + l*d**3 + 3*d**2 - 2*d**2 + 4*d**2 wrt d?
36
Let y(v) = 10*v**4 - 2*v**3 - 2*v + 18. Let j(a) = 19*a**4 - 5*a**3 - 5*a + 37. Let h(c) = 2*j(c) - 5*y(c). What is the derivative of h(r) wrt r?
-48*r**3
Let a(j) be the first derivative of -j**5/20 + j**4/8 - j**2/2 + 3. Let c(y) be the second derivative of a(y). Find the second derivative of c(n) wrt n.
-6
Let s(g) = -g**2 + g - 1. Let h(o) = -3*o**2 + 5*o - 4. Let y(i) = h(i) - 5*s(i). What is the derivative of y(n) wrt n?
4*n
What is the third derivative of -3*l**2 + 6 - 4*l**3 + 6*l**2 - 6 wrt l?
-24
Let z(l) be the third derivative of 1/8*l**4 + 0*l - 1/60*l**5 + 0 + 0*l**3 - 6*l**2. Find the second derivative of z(o) wrt o.
-2
Suppose i + 13 = 18. What is the third derivative of i*s**4 + 3*s**2 - 13*s**4 + 2*s**2 wrt s?
-192*s
Let q(h) = -6*h**3 + 8*h**2 - 2*h + 8. Let z(i) = -i**2 - 1. Let r(w) = 3*q(w) + 24*z(w). What is the second derivative of r(s) wrt s?
-108*s
Suppose -6*j + 55 = -j. What is the second derivative of -2*a**3 + j*a - 16*a + 