*d - k wrt k?
2
Let u(l) be the second derivative of -5*l**7/42 + l**4/3 + 8*l. What is the third derivative of u(f) wrt f?
-300*f**2
Let r(v) be the second derivative of 11*v**4/12 + v**3 - 11*v. Find the second derivative of r(i) wrt i.
22
Suppose 4*r = -r + 10. Suppose 3*p - 6 = p. Find the second derivative of 3 + p*b**2 - 3 + r*b wrt b.
6
Let b = 5 - 2. Let w be 1*(b - (3 - 3)). What is the third derivative of -4*g**w + 2*g**2 + 0*g**2 + g - g wrt g?
-24
Let z be 1/(-3) - (-13)/3. Find the third derivative of -2*d**z - 2*d**5 + d**5 + d**2 + 2*d**4 wrt d.
-60*d**2
Let a = 10 + -8. Find the second derivative of -3*f**2 + 0*f**a - f - 3*f - f wrt f.
-6
Find the third derivative of -64*h**5 + 83*h - 4*h**2 + 2*h**2 - 24 - 83*h wrt h.
-3840*h**2
Let m(d) be the third derivative of 3*d**7/70 + 5*d**3/6 - 2*d**2. Differentiate m(y) with respect to y.
36*y**3
Let f(x) = 6*x**2 + 15*x - 5. Let n(s) = -s**2 - s + 1. Let a(d) = -f(d) - 5*n(d). What is the second derivative of a(r) wrt r?
-2
Suppose -2*j = -2*p - 3*p + 10, -4*j + 36 = 4*p. Find the third derivative of 0*r**2 + p*r**3 + 0*r**2 + 6*r**2 wrt r.
24
Let q(u) be the third derivative of u**7/105 + u**4/6 - 11*u**2. What is the second derivative of q(r) wrt r?
24*r**2
Let t(r) be the third derivative of -23*r**4/24 + 3*r**3/2 - 7*r**2. Differentiate t(v) wrt v.
-23
Let h(z) be the second derivative of -1/3*z**4 + 0*z**3 + 4*z + 2*z**2 + 0. Differentiate h(i) with respect to i.
-8*i
Find the second derivative of -14*m + 6*m**3 + 20*m - 2*m**2 + 2*m**2 wrt m.
36*m
Let o(h) = -4*h. Let g(n) = -n**2 - 3*n. Let k(j) = 4*g(j) - 2*o(j). What is the second derivative of k(m) wrt m?
-8
Let m = 13 + -9. Find the second derivative of -17*x**2 + x**m + 17*x**2 - 3*x wrt x.
12*x**2
Let n(g) be the second derivative of 2*g**5/5 - 6*g**2 - 5*g. What is the first derivative of n(p) wrt p?
24*p**2
What is the second derivative of 4*g**2 + 9*g - 3*g**2 + g - 11*g**2 wrt g?
-20
Suppose 0 = -g + 2*b + 32, 0*g + 5*b - 107 = -3*g. Find the second derivative of -4*t + 6*t**2 + g - 34 wrt t.
12
Let t = -4 + 6. Let x(d) be the first derivative of 0 - 3*d**3 - d**2 + 0*d**2 + 3 + t*d**3. What is the second derivative of x(q) wrt q?
-6
Let h(l) = -l**3 + 5*l**2 - 2*l + 5. Let y(p) = -2*p**3 + 4*p**2 - 3*p + 4. Let c(f) = -4*h(f) + 5*y(f). What is the second derivative of c(t) wrt t?
-36*t
Let q be (6/4)/((-5)/(-10)). Suppose 3 + 1 = -3*u - 2*d, 15 = -3*d. Find the third derivative of -o - o**5 + o - q*o**u wrt o.
-60*o**2
Let h(f) = -36*f**2 + 6. Let c(d) = -7*d**2 + 1. Let y(j) = -11*c(j) + 2*h(j). Differentiate y(l) with respect to l.
10*l
Let c(b) = -b**5 - 3*b**3 - 2*b**2. Let a(m) = -3*m**5 - 13*m**3 - 9*m**2. Let g(v) = 6*a(v) - 26*c(v). What is the third derivative of g(q) wrt q?
480*q**2
Let n(v) = 5*v**3 - 14*v**2 + 9. Let j(y) = 2*y**3 - 7*y**2 + 4. Let r(c) = -9*j(c) + 4*n(c). What is the third derivative of r(k) wrt k?
12
Suppose -2*u - 11 = c + u, c - 29 = 5*u. Let j be (-2)/c*(3 - 3). What is the first derivative of t**2 - 1 + j*t**2 + 0 wrt t?
2*t
What is the third derivative of -28*a**6 - 1129*a - 24*a**2 + 1129*a wrt a?
-3360*a**3
Let w(s) be the first derivative of -2*s**3/3 - 6*s + 1. What is the first derivative of w(u) wrt u?
-4*u
Let p(u) be the first derivative of 2*u**3 - 3*u**2 + 6. What is the second derivative of p(q) wrt q?
12
Suppose 0 = -3*r + v + 11, -v + 0 = r - 1. Find the third derivative of 3*t**r - 4*t**2 - t**2 + 3*t**2 - t**2 wrt t.
18
Let x(c) be the third derivative of -1/40*c**6 - 1/20*c**5 + 0*c**3 + 0*c**4 - 5*c**2 + 0*c + 0. What is the third derivative of x(v) wrt v?
-18
Let m(c) = c**3 + 8*c**2 - 10*c - 7. Let k be m(-9). What is the third derivative of -28*b**k + 6*b**4 + 33*b**2 - 2*b**4 wrt b?
96*b
Let p = 1 + 0. Suppose 1 = -3*o + 4*o. Differentiate 0*j**4 + j**4 + o + p with respect to j.
4*j**3
Let o be 3/2*4/6. What is the derivative of -3 + 3*k**2 - 28*k - o + 28*k wrt k?
6*k
Let o(c) be the second derivative of -3/2*c**2 + c + 0*c**3 - 1/10*c**5 + 0 + 0*c**4. What is the first derivative of o(n) wrt n?
-6*n**2
What is the first derivative of 8 + 1 + l**4 - 4 - 6 wrt l?
4*l**3
Let n(t) be the second derivative of -19*t**7/42 - 5*t**4/6 - 5*t. Find the third derivative of n(v) wrt v.
-1140*v**2
Let g(z) be the third derivative of 0*z**3 + 1/30*z**5 + 0*z + 0 - z**2 - 1/24*z**4. What is the second derivative of g(o) wrt o?
4
Let q = 8 + -4. What is the second derivative of -5*z**5 + z + q*z**5 + 7*z**5 wrt z?
120*z**3
Let q = 1/152 + 71/760. Let a(d) be the second derivative of 2*d + 0*d**4 + 0*d**5 + 1/2*d**2 + 0 - q*d**6 + 0*d**3. What is the first derivative of a(h) wrt h?
-12*h**3
Let g(b) = b**3 + 2*b**2 - 1. Let v(h) = -h. Let l be v(-1). Let k be g(l). Find the first derivative of 3 - x**k + x + 3*x**2 - x wrt x.
4*x
Let j(y) be the third derivative of y**8/168 + y**7/10 - y**5/4 - y**4/12 + 8*y**2 + 3*y. What is the third derivative of j(o) wrt o?
120*o**2 + 504*o
Let j(l) = -l**3 - 8*l**2 + 10*l - 1. Let c be j(-9). Let u be 15/c*(-8)/3. What is the third derivative of 0*b**2 + b**4 - 3*b**2 - u*b**4 + 0*b**2 wrt b?
-72*b
Let j(v) = -v**2 - 7*v - 7. Let g be j(-5). Let z be 1 + -2 - (0 - 3). Differentiate 4*h**3 - 2 - h**g - z*h**3 with respect to h.
3*h**2
Let v(h) be the second derivative of h**6/20 - h**3/6 - 4*h**2 + 4*h. Let m(y) be the first derivative of v(y). Find the first derivative of m(t) wrt t.
18*t**2
Let c(b) = -3*b**5 + 11*b**4 - 3*b**3 + 50*b. Let j(d) = d**5 - 11*d**4 + 2*d**3 - 49*d. Let p(n) = -2*c(n) - 3*j(n). Find the second derivative of p(o) wrt o.
60*o**3 + 132*o**2
What is the first derivative of -16 + 4*t**3 + 19 - t**3 wrt t?
9*t**2
Differentiate 3*l**2 - 11 + 13 - 6 with respect to l.
6*l
Let v(p) = -p**3 - 3*p**2 + 3*p. Let y be v(2). Let k be (-60)/y - 2/7. What is the derivative of -5 + 3*d + k + 0 wrt d?
3
Differentiate 644*t**3 - 15*t**4 - 644*t**3 - 9 wrt t.
-60*t**3
Suppose 0 = -3*t + 4*t - 2. Find the third derivative of -4*n**6 + t*n**2 + 3*n**6 - 5*n**2 + 3*n**6 wrt n.
240*n**3
Let c = 0 + 2. Let s be 2/2 + (c - 0). Find the second derivative of -4 + 3*x + 4 - 4*x**2 + s*x**2 wrt x.
-2
Let c(n) = -8*n**3 + 2*n**2. Let t(m) = m**3. Let r(l) = c(l) + 10*t(l). What is the third derivative of r(a) wrt a?
12
What is the second derivative of 4*d**5 + 4*d**5 - 9*d + d wrt d?
160*d**3
Suppose 5*x = 4*y - 20, 5*x - y + 6 = 1. Let z(b) = b**2 + 2. Let g be z(x). Find the first derivative of 3*m - 3*m - 3*m**g - 2 wrt m.
-6*m
Find the second derivative of 2*f - f - 3*f**3 - 5*f**3 wrt f.
-48*f
Let z(x) be the first derivative of x**8/560 - x**6/180 - x**3 - 4. Let w(f) be the third derivative of z(f). Find the third derivative of w(b) wrt b.
72*b
Let r(u) be the second derivative of -u**8/6720 + 3*u**5/40 + 7*u**4/12 - 8*u. Let j(f) be the third derivative of r(f). Differentiate j(w) wrt w.
-3*w**2
Let v = -17 + 17. Let k(u) be the first derivative of 1/6*u**6 + 0*u**4 + 1/2*u**2 + v*u**3 + 0*u**5 + 0*u - 3. What is the second derivative of k(t) wrt t?
20*t**3
Suppose 5*s + 16 = 3*k + 4*s, 0 = -3*k + 3*s + 24. What is the derivative of -3*f**2 - 4*f + 1 + k*f - 5 wrt f?
-6*f
Let l = -11 - -27. What is the second derivative of -16 + 6*o + l + 5*o**5 wrt o?
100*o**3
Let o = -6 - -8. Let d(a) = -a**3 - 3*a**2 - 2*a. Let y be d(-2). Find the second derivative of -5*z**o + 0 + 2*z**2 - z + y wrt z.
-6
Let y(w) be the third derivative of -2*w**2 - 1/6*w**3 + 0 + 0*w + 1/12*w**4. Differentiate y(a) with respect to a.
2
Let u(y) be the first derivative of -1 - 7/2*y**2 + 6*y. What is the first derivative of u(a) wrt a?
-7
Let d(y) be the third derivative of y**9/56 + y**6/40 + y**5/30 - y**4/24 - 60*y**2. What is the third derivative of d(b) wrt b?
1080*b**3 + 18
Let r(k) be the first derivative of 4*k**5/5 + k**2 - 4. What is the second derivative of r(t) wrt t?
48*t**2
Suppose -3*v - v = -8. What is the derivative of 2*j + 3 + 5*j - 11*j - v*j wrt j?
-6
Let v = 1 + 1. Find the first derivative of 1 + 2*b**4 - 4 + v*b**4 + 2 wrt b.
16*b**3
Let t(v) = -v**2 - 8*v - 7. Let s be t(-6). Suppose 5*j - z = -2*z + 11, -3*z = j - s. Differentiate 0 - j + 4*o**3 + 1 - 2*o**3 wrt o.
6*o**2
Suppose 2 = 4*k - 18. What is the third derivative o