j
Let g(n) = n**3 + n**2 - n. Suppose -7*p = -4*p + 3. Let z(q) = -5*q**3 - 5*q**2 + 4*q. Let i(a) = p*z(a) - 4*g(a). What is the third derivative of i(d) wrt d?
6
Let v(x) be the second derivative of 0*x**5 + 1/6*x**6 + 0*x**4 - 7/2*x**2 + 5*x + 0*x**3 + 0. What is the first derivative of v(t) wrt t?
20*t**3
Let m(d) be the third derivative of 4*d**5/15 + d**4/8 - 7*d**3/6 - 3*d**2 + 6*d. Differentiate m(f) wrt f.
32*f + 3
Let m(g) = -8*g - 11. Let t(p) = -p + 1. Let d(s) = -m(s) - 5*t(s). Differentiate d(b) wrt b.
13
Let f be 2/(-6) + 7/3. What is the third derivative of -9*s**4 + 4*s**f + 6*s**2 + 0*s**2 wrt s?
-216*s
Let k(s) be the second derivative of -10*s - 3/2*s**3 - 1/4*s**4 + 0 + 0*s**2. Find the second derivative of k(v) wrt v.
-6
Find the third derivative of -2*y**6 + 2*y**6 + 8*y**6 - 15*y**2 wrt y.
960*y**3
Let w = -3 + 3. What is the third derivative of -2*p**6 + 0*p - p**2 + 0*p**2 + w*p wrt p?
-240*p**3
Let n(o) = o**3 + 8*o**2 - 10*o - 1. Let c be n(-9). Let u = c - 5. Find the third derivative of -2*i**6 + 5*i**6 + 5*i**2 - u*i**2 - 4*i**6 wrt i.
-120*i**3
Let z(s) = -s + 1. Let b(v) = v**2 - 30*v + 1. Let j(n) = -b(n) + z(n). Find the second derivative of j(w) wrt w.
-2
What is the third derivative of -30*j**4 + 18*j**4 + 14*j**5 + 12*j**4 - 9*j**2 wrt j?
840*j**2
Let q(z) be the third derivative of 0*z**3 + 2*z**2 + 0*z**5 + 0 + 3/70*z**7 + 0*z**6 + 3/8*z**4 + 0*z. Find the second derivative of q(a) wrt a.
108*a**2
What is the second derivative of 8*h + 10*h**5 - 9*h**5 + 7*h wrt h?
20*h**3
Let q(w) = 18*w**3 + 8*w**2 - 8*w - 48. Let u(z) = 12*z**3 + 5*z**2 - 5*z - 32. Let h(o) = -5*q(o) + 8*u(o). Differentiate h(i) with respect to i.
18*i**2
Let d be -3 - (1 + 0) - -3. Let v(k) = -9*k**3 + 3*k**2 - 6*k. Let x(b) = b**3 - b**2 + b. Let n(a) = d*v(a) - 3*x(a). Find the second derivative of n(s) wrt s.
36*s
Find the second derivative of 313*v**2 - 10*v**3 - 313*v**2 - 13 - 4*v wrt v.
-60*v
Suppose 2*d - 9 = -0*d + r, -2*d = r - 3. Find the third derivative of d*x**6 + x**6 - 3*x**6 - 5*x**2 - 2*x**6 wrt x.
-120*x**3
Let l be -1 + 6 - (13 + -13). Find the second derivative of -8*t**4 - 7*t - l*t + 5*t wrt t.
-96*t**2
Let s(j) be the second derivative of -j**7/280 + j**5/30 + 3*j**4/4 - 8*j. Let p(g) be the third derivative of s(g). Find the first derivative of p(k) wrt k.
-18*k
Let t(c) be the first derivative of 3*c**6/2 - 3*c**2/2 - 9. Find the second derivative of t(q) wrt q.
180*q**3
Let i(v) = -5*v**4 - v**2 + 2*v - 2. Let k(p) = 15*p**4 + 3*p**2 - 7*p + 7. Let s(o) = 7*i(o) + 2*k(o). What is the third derivative of s(g) wrt g?
-120*g
Let b = 15 - 15. Let r(q) be the third derivative of 2*q**2 - 1/3*q**3 + 1/12*q**4 + 0*q + b. Differentiate r(c) with respect to c.
2
What is the third derivative of -3*l**4 + 3*l**4 - l**2 - 8*l**6 + 4*l**2 wrt l?
-960*l**3
Suppose 3*v = -0*v. Find the third derivative of 0*s**5 + s**2 + v*s**5 + 5*s**5 wrt s.
300*s**2
Let t(k) = 6*k**2 - 8*k. Let v(b) = 8*b**2 - 7*b - 2*b**2 - 2*b. Let a(j) = -7*t(j) + 6*v(j). What is the second derivative of a(u) wrt u?
-12
Let l(i) be the first derivative of i**6/40 - 5*i**4/24 - i**2/2 + 2. Let h(k) be the second derivative of l(k). What is the second derivative of h(o) wrt o?
18*o
Let k(r) = -10*r**4 + 5*r**3 - 26*r**2 + 5. Let z(y) = y**5 + y**4 - y**3 - y**2 - 1. Let l(i) = -k(i) - 5*z(i). Find the third derivative of l(j) wrt j.
-300*j**2 + 120*j
Let t(b) be the second derivative of -b**3/6 - 4*b**2 - 5*b. What is the derivative of t(w) wrt w?
-1
Let p(k) = 7*k**3 + 13*k**2 - 4*k - 4. Let u(a) = -6*a**3 - 13*a**2 + 5*a + 5. Let l(w) = 5*p(w) + 4*u(w). What is the third derivative of l(r) wrt r?
66
Let s(p) = -14*p - 28. Let y(m) = m + 1. Let o be (-77)/33*(1 - 10). Let n(t) = o*y(t) + s(t). What is the first derivative of n(z) wrt z?
7
What is the second derivative of -2*t**4 - 1529*t**2 + 1529*t**2 - 2*t - 8*t**3 - 17 wrt t?
-24*t**2 - 48*t
Let v(m) = 40*m**2 + 7*m + 9. Let g(y) = 39*y**2 + 8*y + 11. Let l(a) = 5*g(a) - 6*v(a). What is the second derivative of l(k) wrt k?
-90
Let y(r) = 4*r + 12. Let p(v) = v + 4. Let a(w) = -16*p(w) + 5*y(w). Differentiate a(k) wrt k.
4
What is the third derivative of -v**4 - 11*v**2 - 8*v**3 + 8*v**3 wrt v?
-24*v
Find the first derivative of -19*t**4 + 4*t**4 - 3 + 11*t**4 wrt t.
-16*t**3
Let z(n) be the first derivative of -2*n**7/21 + n**3/2 - 4*n - 1. Let k(c) be the first derivative of z(c). Find the second derivative of k(h) wrt h.
-80*h**3
Let z(w) = 6*w**2 + 3*w - 3. Suppose -2*u = 2*u + 28. Let c(o) = -13*o**2 - 7*o + 6. Let q(b) = u*z(b) - 3*c(b). Differentiate q(j) wrt j.
-6*j
Differentiate 1 - 30*j**3 + 15*j**3 + 20*j**3 + 9 with respect to j.
15*j**2
Let g(o) be the first derivative of -o**3/3 - 2*o**2 + 6. What is the second derivative of g(u) wrt u?
-2
Let m(y) = y**4 + y**3 + y**2 - y - 1. Let g(j) = 39*j**4 + 4*j**3 - 41*j**2 - 4*j - 4. Let i(p) = -g(p) + 4*m(p). Find the third derivative of i(c) wrt c.
-840*c
Suppose -16 + 66 = 5*d. Suppose -7*g + 2*g = -d. What is the second derivative of -q**2 - g - 2*q**2 + 2 + q wrt q?
-6
Differentiate -30 - 62*v**3 - 5 + 20*v**3 wrt v.
-126*v**2
Let p(t) = t**2 + 3*t. Let l = -3 - 0. Let z be p(l). What is the second derivative of q**2 + z*q**2 - q + 2*q**2 wrt q?
6
What is the first derivative of -3*d + 2*d + 16*d - 2*d + 3 wrt d?
13
Let a(d) be the second derivative of 7*d**7/6 + 19*d**3/3 + 4*d + 4. Find the second derivative of a(x) wrt x.
980*x**3
Let c(m) be the second derivative of -m**8/84 - m**5/30 + 3*m**2/2 + 2*m. Let b(q) be the first derivative of c(q). Find the third derivative of b(f) wrt f.
-240*f**2
Let r(m) be the second derivative of 0*m**2 + 0*m**3 - 1/4*m**5 - 4*m + 0 - 3/4*m**4. Find the third derivative of r(x) wrt x.
-30
Let q(l) = l + 4. Let z be q(5). Suppose -2*f - f + z = 0. What is the derivative of 2 + 2*h**3 - 3*h**f - 6 wrt h?
-3*h**2
Suppose -4*o + 17 = -3*o - 4*q, 0 = 3*o + 4*q + 13. Differentiate -o - 5*l**3 + 14*l**2 - 14*l**2 with respect to l.
-15*l**2
Let s(j) = 3*j**6 + 5*j**4 + 23*j**2 - 5*j - 5. Let u(y) = -y**6 - y**4 - y**2 + y + 1. Let h(l) = -s(l) - 5*u(l). Find the third derivative of h(i) wrt i.
240*i**3
What is the second derivative of s + 5*s - 5*s - 13*s + 2*s**5 wrt s?
40*s**3
Let n(g) be the first derivative of g**6/40 + g**5/60 + g**2/2 - 3. Let w(a) be the second derivative of n(a). What is the third derivative of w(b) wrt b?
18
Let l(w) = 123*w**5 - 11*w**4 - 26*w**2 - 5. Let s(o) = -41*o**5 + 4*o**4 + 9*o**2 + 2. Let j(b) = -4*l(b) - 11*s(b). Find the third derivative of j(f) wrt f.
-2460*f**2
Let r(t) = -t + 3. Let q(z) = 3*z - 2. Let w(d) = 8*d - 5. Let n(o) = 11*q(o) - 4*w(o). Let c(l) = -2*n(l) - 3*r(l). What is the first derivative of c(k) wrt k?
1
Let o(p) be the second derivative of 0 + 0*p**4 + 0*p**2 - 5*p + 0*p**5 + 5/6*p**3 - 1/6*p**6. Find the second derivative of o(q) wrt q.
-60*q**2
Let c(i) be the second derivative of 2*i**5/5 + 2*i**3/3 + 3*i. Find the second derivative of c(v) wrt v.
48*v
Suppose v - 28 = -v + 4*h, -58 = -3*v + 2*h. Find the first derivative of 1 + 26*y**2 - v*y**2 - 9 wrt y.
8*y
Suppose -4 = -53*i + 51*i. Let m(j) be the first derivative of 0*j**3 + 1/2*j**i + 0*j + 3 + 2/5*j**5 + 0*j**4. Find the second derivative of m(y) wrt y.
24*y**2
Let f(p) = -4*p**4 - 5*p**3 + 3*p**2 - 3*p. Let q(a) = -5*a**4 - 5*a**3 + 3*a**2 - 4*a. Let n(k) = -3*f(k) + 2*q(k). What is the third derivative of n(l) wrt l?
48*l + 30
Let p(c) = c - 1. Let w(o) = -6. Let a(r) = -2*p(r) + w(r). Let h be a(-3). Find the first derivative of -1 - 3*s**h + 4 - 2 wrt s.
-6*s
Let m(f) be the second derivative of -f**7/840 + f**5/24 - f**4/4 + 5*f. Let h(s) be the third derivative of m(s). Find the first derivative of h(z) wrt z.
-6*z
Differentiate 6*z**2 + 13 - 11*z**2 + 8 - 18*z**2 with respect to z.
-46*z
What is the second derivative of l - 3*l + 29*l**5 - 8*l wrt l?
580*l**3
Let o(s) be the second derivative of s**9/15120 - s**6/180 + s**4/6 - s. Let g(w) be the third derivative of o(w). What is the second derivative of g(q) wrt q?
12*q**2
Suppose -2*q = -0*q - 4*d - 24, -4*q - d + 3 = 0. Find the first derivative of -q*u**3 + 24 + 26 - 53 wrt u.
-6*u**2
What is the third derivative of 3*g**2 