- 3. What is the derivative of -y + 2 + 1 - s*p**4 wrt p?
-8*p**3
Suppose 2*v - 4 = 2. Differentiate -2*r**3 + r**v + 1 + 0*r**3 + 2 wrt r.
-3*r**2
Suppose 5*p = -5*x - 10, p - 5*p = -5*x + 26. What is the third derivative of 4*o**2 - 5*o**2 + 4*o**3 - 10*o**3 + 8*o**x wrt o?
-36
Let b(o) be the second derivative of o**10/15120 - o**6/360 + o**4/4 - o. Let m(w) be the third derivative of b(w). What is the second derivative of m(g) wrt g?
40*g**3
Suppose -4*l + 5*y - 6 = -3, -5*l + 5*y = 5. Let n = 8 + l. Differentiate 2 - n + 2*m + 3 with respect to m.
2
Let a be ((0 - 0)/1)/(-2). Let w(d) be the third derivative of d**2 - 1/2*d**3 + 0*d + a - 1/30*d**5 + 0*d**4. Find the first derivative of w(z) wrt z.
-4*z
Differentiate -a**2 - 4*a**2 + 3 - 2*a**2 with respect to a.
-14*a
Let l(d) = d**2 - d - 1. Let x(m) = 20*m**2 - 4*m + 21. Let o(i) = -4*l(i) + x(i). What is the derivative of o(j) wrt j?
32*j
Suppose 26 = -b - 3*c, 0 = 3*b - c - 3*c + 130. Let k be 8/28 + b/(-14). What is the second derivative of m**4 + 0*m**4 - k*m + 4*m wrt m?
12*m**2
Let u(h) be the first derivative of 1/3*h**3 + 0*h + 0*h**2 - 1/4*h**4 + 3. Find the third derivative of u(i) wrt i.
-6
What is the second derivative of 3*q**2 + 7*q**2 + 11*q - 43*q wrt q?
20
Let r(f) be the third derivative of f**6/10 - 5*f**3/6 - 9*f**2. What is the first derivative of r(k) wrt k?
36*k**2
What is the second derivative of -3*h**4 + h**2 - h**2 - 688*h - 54 + 686*h - 7*h**5 wrt h?
-140*h**3 - 36*h**2
Let s be (-9)/(-6) + (-2)/(-4). Suppose 2*q - s*u = -2 + 4, 0 = 2*u - 2. Find the third derivative of m**3 + 0*m**2 + 2*m**2 - m**q wrt m.
6
Let n be (-9)/27 + 86/6. What is the second derivative of -2*x + 0*x**5 + 4*x**5 + n - 14 wrt x?
80*x**3
What is the derivative of 13*k**3 - k**3 + 2*k**3 - 6*k**3 - 10 wrt k?
24*k**2
Differentiate 1468*z**3 - 33 - 10 - 3*z - 1467*z**3 with respect to z.
3*z**2 - 3
Let k(n) be the first derivative of 67*n**3/3 - n**2/2 + 23*n + 7. What is the second derivative of k(v) wrt v?
134
Find the third derivative of 5*v**3 - v**3 - 2*v**3 + 7*v**3 + 3*v**2 wrt v.
54
Let p(i) be the second derivative of -2*i**6/15 + i**4/4 + 7*i. What is the third derivative of p(u) wrt u?
-96*u
What is the second derivative of -26*x**4 - 23*x**2 + 23*x**2 + 2*x + 5*x wrt x?
-312*x**2
Let z(q) = -2*q**3 + 5*q**2 - 7. Let p(x) = x**3 - 2*x**2 + 3. Let d = 0 + -7. Let o(a) = d*p(a) - 3*z(a). Find the third derivative of o(k) wrt k.
-6
What is the third derivative of -6*u**6 + 4*u**2 - 2*u**2 - 2*u**2 + 6*u**2 wrt u?
-720*u**3
Let z(l) = 10*l**5 + 8*l**3 - 38*l**2 - 7. Let o(k) = -10*k**5 - 7*k**3 + 38*k**2 + 6. Let q(x) = 7*o(x) + 6*z(x). What is the third derivative of q(i) wrt i?
-600*i**2 - 6
Let q(n) = 10*n**3 - 2*n**2 - 16*n - 3. Let t(r) = 41*r**3 - 9*r**2 - 65*r - 13. Let u(p) = -9*q(p) + 2*t(p). Find the second derivative of u(m) wrt m.
-48*m
Find the second derivative of -3*t + 4*t**5 - 6*t + 0*t**5 - 2*t**5 wrt t.
40*t**3
Suppose 3*x = -j - 2*x + 33, -2*x + 2 = -j. Differentiate -n + j*n**3 + n + 2 - 1 wrt n.
24*n**2
Let x(i) be the third derivative of -i**9/84 + i**5/30 + 6*i**2. What is the third derivative of x(d) wrt d?
-720*d**3
Let u(c) = 7*c**3 - 6*c**2 + 2*c - 2. Let f(d) = -90*d**3 + 78*d**2 - 27*d + 27. Let t(v) = 2*f(v) + 27*u(v). What is the third derivative of t(n) wrt n?
54
Let d(q) = -4. Let g(y) be the first derivative of 2 - 1/2*y**2 + 9*y. Let i(v) = -5*d(v) - 2*g(v). Find the first derivative of i(o) wrt o.
2
Let j(m) be the third derivative of 0*m**6 + 0*m**7 - 1/15*m**5 + 0*m**3 + 0 + 0*m - 5*m**2 - 1/168*m**8 + 0*m**4. Find the third derivative of j(a) wrt a.
-120*a**2
Find the second derivative of 11*j**3 - 39*j - 26*j**3 + 4*j**3 + j**2 + j**3 wrt j.
-60*j + 2
Let q(y) = -4*y**4 + 6*y - 43. Let b(k) = -k**4 - k - 1. Let h(u) = -6*b(u) - q(u). Differentiate h(x) with respect to x.
40*x**3
Let x be 2/4*(-6 - 18). Let h be x/(-8) - 1/(-2). What is the second derivative of 0*g**h - 4*g + g**2 + 2*g + 3*g**2 wrt g?
8
Find the first derivative of 8*f**2 - 1 + 2 - 6*f**2 wrt f.
4*f
Suppose -17 = -4*w - 1. Find the second derivative of 3*h**2 + w*h**2 + 4*h - h**2 - h wrt h.
12
Let w(v) be the first derivative of 0*v**3 + 7*v + 3/2*v**4 + 0*v**2 - 6. Differentiate w(t) with respect to t.
18*t**2
Let c(n) = -n**2 - 5*n. Let u be c(-4). Let g be 1*10*(-6)/(-12). Find the second derivative of h + g - 5 - h**u wrt h.
-12*h**2
Let p(v) = -2*v**4 - 3*v - 1. Let c(b) = 6*b**4 + 8*b + 2. Let w(g) = -3*g**2 + 3*g - 2. Let s be w(2). Let u(r) = s*p(r) - 3*c(r). Differentiate u(a) wrt a.
-8*a**3
Let t(g) be the first derivative of g**6/30 - g**5/15 - 2*g**2 + 3. Let p(q) be the second derivative of t(q). What is the third derivative of p(c) wrt c?
24
Let u(q) = -2*q + 5. Let k be u(0). What is the second derivative of -8*b - 3*b**5 + 2*b**k + 8*b**5 wrt b?
140*b**3
Let t(o) = o**2 - 3*o - 5. Let z be t(5). Suppose 2*v - k = 11, -2*k + 3 + 2 = z*v. Find the second derivative of 3*i**2 + v - i - 3 wrt i.
6
Let p(c) be the second derivative of -c**3/6 - 4*c. Let u(g) = -8*g**5 - 3*g**2 + 3*g. Let m(j) = -3*p(j) - u(j). What is the third derivative of m(b) wrt b?
480*b**2
Suppose 0*n - 85 = -5*n. Suppose -2*v = 5*l - 3*v - 11, 5*v + 1 = -2*l. Find the second derivative of j**4 - 17*j**l - 4*j + n*j**2 wrt j.
12*j**2
Let q = -39 + 43. Let m(o) be the third derivative of -1/8*o**q + 1/60*o**6 + 0*o + 0*o**5 + 0 + 0*o**3 - o**2. Find the second derivative of m(h) wrt h.
12*h
Find the third derivative of -4*y**6 - y**6 + 4*y**3 - 8*y**2 + y**6 wrt y.
-480*y**3 + 24
Differentiate 1 + 154*i**3 - 2*i**4 - 154*i**3 wrt i.
-8*i**3
Let v = -1 + 3. Let i = -1 - 0. Let b(q) = q**3 + q**2 + q - 1. Let x(j) = j**3 + 2*j**2 + 2*j - 4. Let z(y) = i*x(y) + v*b(y). Differentiate z(r) wrt r.
3*r**2
Let n(j) be the first derivative of 24*j**5/5 + 12*j + 23. What is the first derivative of n(t) wrt t?
96*t**3
Let x(b) = -2*b**3 + 3 - 2*b - 4 - 2. Let n be (-6)/4*4/2. Let k(a) = a**4 - 3*a**3 - 3*a - 4. Let i(u) = n*x(u) + 2*k(u). Differentiate i(v) wrt v.
8*v**3
Let v(z) = -z**2 + 5*z + 8. Let r(g) = 7*g - 1. Let d be r(1). Let f be v(d). What is the derivative of 1 + 0 + 2 + h**f wrt h?
2*h
Let d(j) be the second derivative of -9*j**5/5 - 2*j**3/3 - j**2/2 - 23*j. Find the second derivative of d(m) wrt m.
-216*m
Suppose 8*j = 6*j + 4. What is the third derivative of 6*z**2 + 3*z**j - 4*z**6 - 5*z**2 + 2*z**6 wrt z?
-240*z**3
What is the third derivative of -12*o**2 - 5*o**4 + 2*o**2 - 10*o**2 - 6*o**4 wrt o?
-264*o
Let n(t) = 11*t**3 - 4*t. Let d(w) = 21*w**3 - w**2 - 7*w. Let v(o) = -4*d(o) + 7*n(o). What is the third derivative of v(l) wrt l?
-42
Let z(r) = 8*r**4 - 3*r**3 - 4*r**2. Let g(s) = -8*s**4 + 2*s**3 + 5*s**2. Let k(w) = -3*g(w) - 2*z(w). Find the third derivative of k(j) wrt j.
192*j
Let c(i) = -i**4 - i**3 - i**2 + i. Let s(z) = -10*z**4 - 6*z**3 - 6*z**2 + 15*z. Let a(f) = -6*c(f) + s(f). What is the second derivative of a(t) wrt t?
-48*t**2
Let u(k) be the third derivative of -k**7/42 + k**3/2 + 10*k**2. Differentiate u(g) with respect to g.
-20*g**3
Suppose -w - 4*p = -3*w + 108, -5*w + 260 = -5*p. What is the first derivative of -50*l + l**2 + w*l + 3 wrt l?
2*l
Suppose -2*i + 5 = 1. What is the second derivative of -3*d**2 + 4*d**2 - i*d**2 + 2*d wrt d?
-2
Let u(i) = 2*i**2 + 3. Suppose 2*j = -2*j + 16. Let g(t) = -3*t**2 - 3. Let h(k) = j*g(k) + 5*u(k). Differentiate h(l) wrt l.
-4*l
What is the second derivative of 5*u**2 + 71*u**3 + 17*u - 88*u**3 - 5*u**2 wrt u?
-102*u
Find the first derivative of -29*c**2 + 29*c**2 + 4 - c**3 wrt c.
-3*c**2
Let d(n) = -n**2 + 8*n + 3. Let z be d(8). Find the second derivative of 6*r**5 + r + z*r - 3*r wrt r.
120*r**3
Let a(h) = -11*h**4 - 18*h**2 - 5. Let n(t) = 17*t**4 + 27*t**2 + 8. Let z = 11 - 6. Let d(c) = z*n(c) + 8*a(c). Find the third derivative of d(f) wrt f.
-72*f
Let j = 58 + -58. Let k(r) be the first derivative of 0*r**3 - 3 + 0*r**5 + 1/2*r**2 + 1/2*r**6 + 0*r**4 + j*r. What is the second derivative of k(b) wrt b?
60*b**3
Let g(o) be the first derivative of -o**8/336 - o**4/24 + o**2 - 3. Let r(z) be the second derivative of g(z). Find the second derivative of r(d) wrt d.
-20*d**3
Find the third derivative of -d**2 