4
Let g = -2 + 5. What is the second derivative of 0*q + g*q**3 - 2*q**3 + 2*q wrt q?
6*q
Let q = -13 - -18. Let k = -6 + q. Let y(x) = -2*x + 1. Let u(z) = 1. Let v(r) = k*y(r) + 4*u(r). What is the first derivative of v(w) wrt w?
2
Let k(v) be the second derivative of -3*v**5/20 - v**2 - 4*v. What is the derivative of k(z) wrt z?
-9*z**2
Let f(x) be the second derivative of x**8/3360 - x**6/180 + x**4/12 - 6*x. Let o(d) be the third derivative of f(d). Find the second derivative of o(t) wrt t.
12*t
Let b = 16 - 11. Suppose -c + 18 = -2*c - 4*u, -2*u = b*c. Find the second derivative of 15*g + 0*g**2 + g**c - 17*g wrt g.
2
Let d(b) = -b**2 - b. Let o(f) = -4*f**3 - 4*f**2 - 4*f - 4. Let n(m) = -12*d(m) + 3*o(m). Find the first derivative of n(q) wrt q.
-36*q**2
Let c(d) = 2*d + 12. Let i be c(-4). Let b(m) be the first derivative of m + 1 + 1/2*m**i + 0*m**3 + 0*m**2. Find the first derivative of b(f) wrt f.
6*f**2
Let h(c) be the first derivative of -7*c**6/3 - c**2 - 9. What is the second derivative of h(m) wrt m?
-280*m**3
Let n be (-2)/(-5) + (-38)/(-5). Let p be (-6)/(-8) - (-2)/n. Differentiate t**2 - 1 + 2 + p with respect to t.
2*t
Let c(n) be the first derivative of -2/3*n**6 + 2/3*n**3 + 0*n + 0*n**5 + 0*n**2 + 0*n**4 - 1. Find the third derivative of c(o) wrt o.
-240*o**2
Let i(j) be the second derivative of -1/2*j**2 + 1/15*j**6 + 0*j**3 + 0*j**4 + 0*j**5 - 3*j + 0. Find the first derivative of i(p) wrt p.
8*p**3
Let s(n) = 5*n + 7. Let i(j) = -2*j - 4. Let h(z) = 7*i(z) + 3*s(z). Find the first derivative of h(m) wrt m.
1
Let k(a) = -a**3 - 11*a**2 + 11*a - 6. Let t(f) = -f**2 + f - 1. Let h(b) = 4*k(b) - 44*t(b). Differentiate h(w) wrt w.
-12*w**2
Let p(f) be the third derivative of -f**5/10 - 5*f**3/3 - 9*f**2. Find the first derivative of p(m) wrt m.
-12*m
Let b(k) = 10*k**2 + 3*k - 60. Let y(r) = 21*r**2 + 5*r - 119. Let h(a) = 5*b(a) - 3*y(a). What is the first derivative of h(q) wrt q?
-26*q
Let h(o) = -47*o + 34. Let f(l) = 236*l - 172. Let d(c) = -3*f(c) - 14*h(c). Find the first derivative of d(x) wrt x.
-50
Let q = -5 - 0. Let h = 9 + q. Find the third derivative of -4*i**2 + 4*i**2 + 2*i**2 + 3*i**h wrt i.
72*i
Let w(p) be the first derivative of -p**4/4 + p**2/2 - 6. Find the second derivative of w(i) wrt i.
-6*i
Let t(d) be the first derivative of 0*d**3 + 0*d + 3 - 3/2*d**2 + 0*d**4 - 1/6*d**6 + 0*d**5. Find the second derivative of t(v) wrt v.
-20*v**3
Let u(m) be the third derivative of -3*m**2 + 0*m**5 + 0*m + 0 - 1/70*m**7 + 0*m**6 + 0*m**4 - 1/6*m**3. What is the derivative of u(g) wrt g?
-12*g**3
Let r(p) be the third derivative of 4*p**2 + 0 + 1/6*p**3 + 0*p - 1/4*p**4. Find the first derivative of r(t) wrt t.
-6
Let m(o) = 3*o**2 - 2*o + 3. Let v(c) = -4*c + c**3 + 3*c + 3*c - 7 - 4*c**2 + 3. Let n(a) = -4*m(a) - 3*v(a). Find the second derivative of n(b) wrt b.
-18*b
Let m(r) = -12*r**4 - 2*r - 6. Let l(j) = 6*j**4 + 7*j**4 - 2*j**4 + 5 + 0 + j. Let n(k) = -6*l(k) - 5*m(k). What is the second derivative of n(s) wrt s?
-72*s**2
Let b = -1 - -2. Suppose 2*n + b = 5*v, -3*n = n + 4*v - 12. Find the third derivative of -4*r**4 - r**2 - n*r**2 + 3*r**4 wrt r.
-24*r
Let n(u) be the third derivative of u**5/12 - u**3/6 - u**2. Find the first derivative of n(b) wrt b.
10*b
Suppose 3*v = -9 - 36. Let w = -11 - v. Differentiate u - 3 - w*u - u + u wrt u.
-3
Let f(m) be the first derivative of -m**8/1680 + m**6/180 + 4*m**3/3 + 3. Let p(t) be the third derivative of f(t). What is the third derivative of p(i) wrt i?
-24*i
Let n(s) = 2*s - 1. Let z(b) = 45*b + 38. Let m(f) = 3*n(f) - z(f). Differentiate m(g) wrt g.
-39
Let i(l) = l**3 - 4*l**2 + 2*l - 6. Let x be 4/(-14) + (-30)/(-7). Let c be i(x). Find the third derivative of q**2 - 2*q**2 - 3*q**3 + 5*q**c - 2*q**2 wrt q.
-18
Let m(q) = q**2 + 5*q - 2. Let p be m(-6). Suppose 3*f + f = p*x - 24, 0 = 5*x - 2*f - 18. Differentiate -1 + t**2 - t**x + t**2 - 2 with respect to t.
2*t
Suppose -2*p - p + 9 = 0. Find the first derivative of 6*h**2 - p*h**2 - 3*h**2 + h**3 - 1 wrt h.
3*h**2
Let g = 293/5 + -58. Let j(t) be the first derivative of 0*t**4 + 1 + 0*t + g*t**5 + 0*t**2 + t**3. Find the third derivative of j(l) wrt l.
72*l
Let t(p) = -16*p**3 - 3*p + 3. Let c(x) = -17*x**3 - 3*x + 4. Let g(i) = 3*c(i) - 4*t(i). What is the second derivative of g(f) wrt f?
78*f
Let a(l) be the third derivative of 1/60*l**5 + 0*l + 1/6*l**3 - 3*l**2 + 0 + 0*l**4. Find the first derivative of a(k) wrt k.
2*k
Let x(t) be the second derivative of 7*t**4/6 - t**3 + 19*t. What is the second derivative of x(z) wrt z?
28
Let u(v) be the third derivative of -v**6/360 - v**5/120 - v**4/12 + 3*v**2. Let z(m) be the second derivative of u(m). Find the first derivative of z(q) wrt q.
-2
Let t(n) be the first derivative of -n**4/2 + 5*n**2/2 + 7. What is the second derivative of t(x) wrt x?
-12*x
Let h(i) = 2*i + 9. Let k be h(-3). Let n(d) be the first derivative of 0*d + d**k - 1/4*d**4 + 0*d**2 + 3. What is the third derivative of n(l) wrt l?
-6
Find the third derivative of c**2 + 38*c**3 + 52*c**2 - 4*c**2 + 8*c**3 wrt c.
276
Let a(c) = -c**3 + 1. Suppose 0 = 3*o - 0*o - 3. Let m(r) = -1 + 0*r**3 - r**3 + 0*r**3 + 8. Let b(w) = o*m(w) - 3*a(w). Differentiate b(z) with respect to z.
6*z**2
Let c(t) = -10*t**2 + 12*t - 5. Let k(r) = 5*r**2 - 6*r + 2. Let w(a) = 2*c(a) + 5*k(a). Find the second derivative of w(o) wrt o.
10
Let s(y) = -2*y**3 - 3*y**2 + 1. Let i be s(-2). Find the second derivative of -t**3 + 2*t + i*t**3 - 4*t**3 + t**4 wrt t.
12*t**2
Let q(i) be the second derivative of 2*i**2 - 5*i + 0 + 0*i**4 - 1/2*i**5 + 0*i**3. Differentiate q(y) wrt y.
-30*y**2
Let g be ((-12)/(-8) + 2)*2. Let i(s) = 5*s + 14. Let t(d) = 4*d + 13. Let f(o) = g*t(o) - 6*i(o). Differentiate f(w) with respect to w.
-2
Let v(j) = 6*j + 3. Let b be v(2). Find the third derivative of -b*l**2 + 3*l**6 + 17*l**2 + 2*l**6 wrt l.
600*l**3
Let d = 0 - 5. Let y(z) = z**2 + 4*z - 5. Let w be y(d). Find the second derivative of -3*l**4 + 0*l - 4*l + w*l wrt l.
-36*l**2
What is the third derivative of -273*g**3 - 17*g**6 - 6*g**2 + 273*g**3 wrt g?
-2040*g**3
Suppose -6*t - 35 = -11*t. Find the first derivative of t*w**2 + 4 - 7*w**2 - w**4 wrt w.
-4*w**3
Let n be (6/4)/(3/(-4)). Let b be 1/(n/(-18)*3). Find the first derivative of 0 + b*m**3 - 1 + 4 + 0*m**3 wrt m.
9*m**2
What is the second derivative of 0*l - 20*l**3 + 6*l + 14*l**3 wrt l?
-36*l
Let h(y) = -53*y - 42. Let t(o) = 27*o + 21. Let z(a) = -3*h(a) - 5*t(a). Differentiate z(d) wrt d.
24
Let b(v) = -2*v - 7. Suppose -4 - 6 = 2*f. Let n be b(f). What is the second derivative of -m**n - 4*m**3 + m**3 - 3*m + 0*m**3 wrt m?
-24*m
What is the third derivative of 4*r**2 + 5*r**2 + 23*r**5 - 29*r**5 wrt r?
-360*r**2
Let n(q) = 16*q**6 - 3*q**5 - 6*q**2 - 3*q. Let s(w) = w**6 - w**5 - w**2 - w. Let p(a) = -n(a) + 3*s(a). Find the third derivative of p(d) wrt d.
-1560*d**3
Let f(g) be the third derivative of g**5/15 + 5*g**4/24 - 9*g**2. What is the second derivative of f(s) wrt s?
8
Suppose -39 = -5*z - 4. What is the second derivative of b + 0*b + b**4 - z*b**4 + 4*b**4 wrt b?
-24*b**2
Let n(m) be the first derivative of -8*m**5/5 - 3*m**2 - 3. Find the second derivative of n(g) wrt g.
-96*g**2
Let f(c) = -15*c**3 + 85*c**2 - 8*c - 8. Let u(r) = 5*r**3 - 28*r**2 + 3*r + 3. Let y(a) = -3*f(a) - 8*u(a). What is the third derivative of y(g) wrt g?
30
Let j(s) = s**2 + 1. Let m(l) = 10*l**2 + l - 27. Let o(w) = -4*j(w) + m(w). Find the first derivative of o(a) wrt a.
12*a + 1
Suppose 0 = 3*g + 4 + 2. Let a(j) = 5*j**2 + 2*j - 5. Let m(v) = 4*v**2 + 3*v - 4. Let q(i) = g*m(i) + 3*a(i). Differentiate q(b) wrt b.
14*b
Let v(s) = s**3 + 6*s - 3*s + 2*s**3. Let c(o) = 3*o**3 + 3*o. Let h = 31 - 36. Let p(l) = h*v(l) + 4*c(l). What is the second derivative of p(i) wrt i?
-18*i
Let m(u) = u**6 + u**4 + u**3 - u. Let z(v) = v**6 + 5*v**4 + 5*v**3 + 2*v**2 - 5*v. Let n(y) = -5*m(y) + z(y). What is the third derivative of n(l) wrt l?
-480*l**3
Suppose 3*o - 4*s = 74, -5*o - 28 = -5*s - 143. Let v be 2/(-9) - (-40)/o. Find the second derivative of -b + 3*b + 6*b**v - 3*b**2 wrt b.
6
Let c(h) be the third derivative of -h**7/168 + 5*h**4/24 - h**3 - 5*h**2. Let l(p) be the firs