- 2*a + 0*a**2 + q*a**3. Differentiate o(g) wrt g.
4*g**3
Let r(k) be the third derivative of k**8/14 - k**5/60 + 44*k**2. What is the third derivative of r(v) wrt v?
1440*v**2
Let h be (-9)/2*(-8)/(-12). Let d(c) = 5*c**2 + 4. Let o(s) = 4*s**2 - s + 3. Let k(f) = h*d(f) + 4*o(f). What is the second derivative of k(y) wrt y?
2
Let q(i) = i**2 - 5. Let u = -7 - -3. Let h(w) = w**2 - 5. Let c(m) = u*h(m) + 3*q(m). Find the first derivative of c(j) wrt j.
-2*j
Let k(o) = -o + 8. Let n be k(6). Find the second derivative of -3*j**n + 2*j - 3*j**2 + 6*j**2 - j**5 wrt j.
-20*j**3
Let f(q) = -q**2 - 7*q + 2. Let g be f(-6). What is the second derivative of -6*j**5 + 7*j**4 - 7*j**4 + g*j wrt j?
-120*j**3
Let d(i) = i**2 - 4. Let y be d(3). Let b(q) = q - 3. Let m be b(y). Find the third derivative of -h**3 - 4*h + 4*h - h**m wrt h.
-6
Let r(x) be the first derivative of -x**3/3 - 8*x - 11. Differentiate r(u) with respect to u.
-2*u
Let t(o) = o + 6. Let m be t(-5). Let y(z) = z. Let g be y(3). What is the first derivative of m - 2*k - g + 0*k wrt k?
-2
Let w(q) be the third derivative of 0*q + 0*q**4 + 0 + 1/60*q**5 - 2/3*q**3 - q**2. What is the derivative of w(c) wrt c?
2*c
What is the second derivative of -13*a - 10*a**4 + 21 - 21 wrt a?
-120*a**2
Let z be (3 - -3)/(1 - -1). Suppose -q - 33 + 12 = -4*t, z*t - 10 = -5*q. Find the third derivative of 4*n**5 - 3*n**2 - 2*n**t + 3*n**2 - 4*n**2 wrt n.
120*n**2
Let b(h) = -13*h**4 + 2*h**3 + 7*h**2 - 2*h. Let g(y) = y**4 - y**3 + y. Let n(p) = b(p) + 2*g(p). Find the third derivative of n(o) wrt o.
-264*o
Let l(f) = 17*f + 20. Let m(d) = 16*d + 20. Let k(q) = 6*l(q) - 5*m(q). What is the first derivative of k(n) wrt n?
22
Let m(v) be the second derivative of -v**5/4 - 7*v**4/12 - 5*v. What is the third derivative of m(k) wrt k?
-30
Let c(y) = y**2 - 1. Let r(i) = 66*i**2 + 59. Let a(k) = 6*c(k) - r(k). Differentiate a(p) wrt p.
-120*p
Let o(t) be the second derivative of -4*t**6/15 + t**3/3 - 5*t. Find the second derivative of o(w) wrt w.
-96*w**2
Let o(u) be the second derivative of -13*u**5/20 + 11*u**2/2 + 12*u. What is the first derivative of o(k) wrt k?
-39*k**2
Let p(s) = -s**2 - 4. Let t = 3 + -1. Let i(d) = -3*d**2 - 17. Let f(h) = t*i(h) - 9*p(h). What is the first derivative of f(k) wrt k?
6*k
What is the third derivative of 34*b**3 - 39*b**3 + 0*b**2 - 17*b**2 wrt b?
-30
Suppose -c = f + 3, -2*c - 2 + 1 = f. Suppose 3*q = -c*w + 14, 0*w + 6 = 4*w - 5*q. Find the third derivative of 9*d - 4*d**2 - 9*d + w*d**3 wrt d.
24
Find the first derivative of 14 - 18 + 0*r**2 + r**2 + 9 wrt r.
2*r
Let r(s) be the third derivative of s**7/840 + s**6/360 - s**3 + s**2. Let w(n) be the first derivative of r(n). Find the third derivative of w(g) wrt g.
6
Let p = 6 + -3. Suppose -p*z - 2 = -4*z. What is the second derivative of -4 + z*u**2 + 4 - 2*u wrt u?
4
Let f be (-9)/(-3) - (-40)/(-15). Let d(s) be the first derivative of -f*s**3 - 3 + 0*s**2 + 3*s. What is the first derivative of d(j) wrt j?
-2*j
Let w(x) = -23*x - 3. Let d(a) = 8*a + 1. Let m(h) = -8*d(h) - 3*w(h). Differentiate m(q) wrt q.
5
Let t(i) be the third derivative of 0*i**5 + 0*i + 0*i**6 + 0 - 1/3*i**3 + 0*i**4 - 2/105*i**7 + 4*i**2. Differentiate t(s) with respect to s.
-16*s**3
Let i = 9 + -6. What is the derivative of 5*m**i + 3 - 2*m**3 - 2*m**3 + 1 wrt m?
3*m**2
Let q(s) be the first derivative of 8*s**7/7 - 5*s**3/3 - 8. What is the third derivative of q(g) wrt g?
960*g**3
Let j(c) = 4*c**4 - 2*c**3 + 7*c**2 + 2*c + 2. Let d(z) = z**3 - z**2 - z - 1. Let i(p) = -2*d(p) - j(p). What is the third derivative of i(h) wrt h?
-96*h
Let m(w) = 9*w**3 + 12*w. Let b(i) = 8*i**3 + 11*i. Let n(f) = -4*b(f) + 5*m(f). What is the second derivative of n(c) wrt c?
78*c
What is the second derivative of -39*m + 40*m - 2*m**4 - 13*m**4 wrt m?
-180*m**2
Let m(n) = -n**2 - n + 2. Let h be m(0). Let g(l) = l**4 + 2. Let x(j) = 2*j**4 + j + 3. Let u(z) = h*x(z) - 3*g(z). Find the second derivative of u(o) wrt o.
12*o**2
Let b(r) be the first derivative of -r**6/72 - 7*r**5/120 + 2*r**3 + 7. Let u(j) be the third derivative of b(j). What is the second derivative of u(c) wrt c?
-10
Let z(l) = l**3 + 6*l + 7. Suppose 2 = -2*c - 8. Let f(i) = -5*i - 6. Let y(q) = c*z(q) - 6*f(q). Differentiate y(p) with respect to p.
-15*p**2
Let q(n) be the third derivative of 5*n**8/48 - n**5/30 + 2*n**2. Find the third derivative of q(m) wrt m.
2100*m**2
Differentiate 1 - 6 + 8*q**2 - 3 wrt q.
16*q
Let j be 8/6*(-18)/(-12). Differentiate -j*i**2 - 9 + 4 + 0 with respect to i.
-4*i
Let z = 7 - 5. What is the third derivative of -2*j**z + 0*j**5 - 3*j**5 + 5*j**2 wrt j?
-180*j**2
Suppose 0 = 4*b - 2 - 10. Suppose -4*u - b = -15. Find the second derivative of -2*g**3 - 3*g**3 + u*g**3 - g wrt g.
-12*g
Let j = 10 + -5. Let b = -2 + j. Find the third derivative of 4*f**6 + 4*f**2 - 3*f**6 + b*f**6 - 6*f**6 wrt f.
-240*f**3
Suppose -h = 5*b - 7, 4*h + 0*h - 51 = 3*b. Find the third derivative of -s**4 - 12*s**3 + 3*s**2 + h*s**3 wrt s.
-24*s
Suppose 2*v = 17 - 5. Suppose g = -5*s + 19 - v, 2*s - 16 = -4*g. What is the first derivative of 2 - 5*k**2 + 0*k**2 + 2*k**s wrt k?
-6*k
Let c(l) = 2*l**3 - l**2 - 3*l - 3. Suppose 3*w - 7 = 2. Let k(n) = -n**3 + n + 1. Let h(u) = w*k(u) + c(u). What is the third derivative of h(z) wrt z?
-6
What is the second derivative of 5*w + 3*w**2 + 16 - 16 wrt w?
6
Let k be (-2 + 0)*(-55)/22. Differentiate -k*f**2 - 5*f**2 + 3*f**2 - 7 + 3*f**2 wrt f.
-8*f
What is the second derivative of 3390*o**3 + 4*o - 3433*o**3 - 5*o wrt o?
-258*o
Suppose 0 = 2*f - 3 - 3. Let x = 8 - f. Find the third derivative of 21*l**2 - 2*l**5 - 23*l**2 + 0*l**x wrt l.
-120*l**2
Let v(o) = -o**2 - 7*o + 6. Let x be v(-6). Suppose -3*m + 3 = -x. Find the third derivative of -i**2 + 5*i**5 - 5*i**m + i**5 wrt i.
60*i**2
Let g(p) = -70*p**2 + 39. Let q(s) = 35*s**2 - 20. Let f(n) = 3*g(n) + 5*q(n). What is the derivative of f(j) wrt j?
-70*j
Suppose -t - t - 4*i - 30 = 0, 5 = t - 3*i. Let b = 13 + t. What is the third derivative of 0*c**2 - c**2 - 4*c**6 + c**6 + c**b wrt c?
-240*c**3
Let h(c) be the first derivative of 10*c**3/3 + 11*c**2/2 + 8. Find the second derivative of h(t) wrt t.
20
Let y(d) be the third derivative of d**5/15 + d**4/24 - d**3/6 - d**2. Let c be y(1). Differentiate -w**2 + 0 - c + 3*w**2 + 3 with respect to w.
4*w
Let x(a) = -2*a**2 + 3*a - 43. Let i(d) = -d**2 + d. Let f(q) = 3*i(q) - x(q). Differentiate f(n) with respect to n.
-2*n
Let f(x) = 9*x. Let u be f(2). What is the first derivative of u*n - 18*n - 3 + 4*n**2 wrt n?
8*n
Let t(o) be the third derivative of o**7/420 + o**4/12 + o**3/2 - o**2. Let z(j) be the first derivative of t(j). What is the derivative of z(r) wrt r?
6*r**2
Let q(n) be the second derivative of n**6/720 + n**5/120 - n**4/6 + 2*n. Let u(p) be the third derivative of q(p). Find the first derivative of u(k) wrt k.
1
Suppose 3*v - 4*v = 0. Find the second derivative of v*s + 4*s + 7*s**3 - 9*s**3 wrt s.
-12*s
Suppose 0 = -4*c + 6*c - 8. Let b(i) = -i**2 + 6*i - 5. Let d be b(c). Find the second derivative of -q + 4*q**d - 3*q + 8*q wrt q.
24*q
Let i be (-27)/(-5) - 6/15. Let g = i + -2. Differentiate b + 1 - g + 0*b with respect to b.
1
Find the second derivative of 15*u - 40*u + 22*u + 9*u**3 wrt u.
54*u
Let l(k) = -56*k**3 + 32*k**2 + 10*k + 10. Let v(q) = 19*q**3 - 11*q**2 - 3*q - 3. Let a(h) = -3*l(h) - 10*v(h). Find the third derivative of a(t) wrt t.
-132
Let r(z) be the second derivative of 2*z**7/21 - z**3/6 - 2*z. What is the second derivative of r(h) wrt h?
80*h**3
Let a(n) = 10. Let m(f) = -f - 20. Let g(r) = 7*a(r) + 3*m(r). What is the first derivative of g(q) wrt q?
-3
Suppose 2*f + 5*z - 2*z + 11 = 0, -4*f + 4*z = -28. What is the second derivative of -8*g - g**f + 4*g**2 + 2*g wrt g?
6
Let b(t) = -25*t**4 + 2*t**2 - 6. Let s(j) = -25*j**4 + 2*j**2 - 5. Let w(y) = 5*b(y) - 6*s(y). What is the third derivative of w(v) wrt v?
600*v
What is the first derivative of 0*v**4 - 4 + 2 - 9*v**4 + 2*v**4 wrt v?
-28*v**3
Let v(h) = h**3 - h + 1. Let l(s) = 3*s**3 - 12*s + 5. Let o(i) = -l(i) + 5*v(i). Find the second derivative of o(z) wrt z.
12*z
Let z(g) be the third derivative of g**8/21 - g**5/6 + 27*g**2. What is t