- 10. Let m(q) = -21*q**3 - 21. Let i(s) = -3*m(s) + 7*x(s). Differentiate i(h) wrt h.
-42*h**2
Suppose -5*d + 2*r + 3*r + 20 = 0, 0 = 4*d + 3*r - 23. Find the third derivative of 4*s**2 + s**d - 2*s**2 - 3*s**5 wrt s.
-120*s**2
Let w(l) be the first derivative of l**3/3 - 2*l**2 - 8*l + 3. Let g be w(8). Find the third derivative of 2*z**2 - 6*z**2 - 23*z**5 - z**2 + g*z**5 wrt z.
60*z**2
Let g(f) be the first derivative of -f**6/2 + 4*f**2 + 3. What is the second derivative of g(j) wrt j?
-60*j**3
Find the third derivative of -n**3 - 7*n**3 + 22*n**3 + 8*n**2 wrt n.
84
Let t(g) = -4*g**3 - 13*g**2. Let p(n) = 2*n**3 + 6*n**2. Let u be (-10)/(-20) + 22/(-4). Let s(f) = u*p(f) - 3*t(f). Find the third derivative of s(o) wrt o.
12
Differentiate -4*i**4 - 17 + 10*i**4 + 2*i**2 - 2*i**2 wrt i.
24*i**3
Let i = 4 - -1. Suppose 0 = -3*x - y + 11, 3*x = i*y + 35. Find the second derivative of -2*c**2 - c - 5*c + x*c + c**2 wrt c.
-2
Find the third derivative of 8*z**2 + 6*z**2 + 7*z**4 + z**4 - 6*z**2 wrt z.
192*z
Find the second derivative of 4*a**2 - 4*a**2 - 4*a**2 + 5*a**2 + 2*a wrt a.
2
Let k(x) be the first derivative of 4*x**5/5 + 2*x + 2. What is the derivative of k(f) wrt f?
16*f**3
Let w(m) be the second derivative of -m**7/210 - m**3/6 - m**2/2 - 2*m. Let p(y) be the first derivative of w(y). Find the first derivative of p(g) wrt g.
-4*g**3
Let i(p) be the third derivative of 1/3*p**3 - p**2 + 0 + 0*p - 1/24*p**4. What is the first derivative of i(s) wrt s?
-1
Let j(h) = -h**3 + h**2 + 2. Let z(p) = p**3 - 1. Let t(x) = -j(x) - 2*z(x). Find the third derivative of t(q) wrt q.
-6
Let a(b) be the second derivative of b**8/280 + b**4/24 - b**3/6 - 4*b. Let s(o) be the second derivative of a(o). What is the derivative of s(q) wrt q?
24*q**3
Let p(i) = 16*i**4 - 5*i - 8. Let a(f) = -137*f**4 + 44 + 16*f + 12*f + 49*f**4. Let z(u) = -5*a(u) - 28*p(u). Differentiate z(y) wrt y.
-32*y**3
Let j(f) be the third derivative of -7*f**5/120 - f**4/24 - 7*f**3/6 - 5*f**2. Let a(g) be the first derivative of j(g). What is the derivative of a(b) wrt b?
-7
Suppose 0 = -3*h - 2*h. Differentiate -z**2 + h*z**2 + 5 - 4*z**2 - 3 wrt z.
-10*z
Let o(p) = 15*p**2 - 14*p. Let v(t) = 60*t**2 - 57*t. Let b(d) = -18*o(d) + 4*v(d). Find the second derivative of b(z) wrt z.
-60
Let y(o) = 23*o - 3. Let v(m) = -7*m + 3*m + 3*m + 1 - 7*m. Let t(g) = -8*v(g) - 3*y(g). What is the first derivative of t(w) wrt w?
-5
Let w(o) = -37*o**4 + 7*o - 4. Let y(l) = -25*l**4 + 5*l - 3. Let i(u) = 5*w(u) - 7*y(u). Find the first derivative of i(g) wrt g.
-40*g**3
Let p(z) be the first derivative of -z**6/180 - z**5/12 - 8*z**3/3 + 9. Let m(l) be the third derivative of p(l). What is the second derivative of m(u) wrt u?
-4
Suppose -2*k = -4*z, 4*z - 3*k + 7 = 3. Differentiate 4 + 8*u**2 + 2*u**z - 2*u**2 - u**2 with respect to u.
14*u
Let p(n) be the second derivative of n**9/2160 - n**6/144 - 2*n**4/3 + 4*n. Let t(k) be the third derivative of p(k). Find the second derivative of t(s) wrt s.
84*s**2
Let w(y) be the second derivative of 0*y**3 + 3/4*y**4 - 2/15*y**6 + 0*y**5 + 0*y**2 + y + 0. What is the third derivative of w(n) wrt n?
-96*n
Let z(b) = -63*b**3 + 9*b**2 - 5*b + 9. Let p(y) = -16*y**3 + 2*y**2 - y + 2. Let n(k) = 9*p(k) - 2*z(k). Find the second derivative of n(w) wrt w.
-108*w
Let u(o) be the third derivative of o**4/12 + o**3/3 + 3*o**2. Find the first derivative of u(x) wrt x.
2
What is the third derivative of -87*r**4 + r**2 + 0*r**2 + 100*r**4 wrt r?
312*r
Let v(g) = -g**3 + 6*g**2 - 5*g + 4. Let h be v(5). What is the derivative of 2 + 6*k**4 - 2*k**h - 3*k**4 wrt k?
4*k**3
Let r(p) be the third derivative of p**7/210 - 17*p**6/60 + p**4/24 - 13*p**3/6 - 8*p**2 - 2. What is the second derivative of r(f) wrt f?
12*f**2 - 204*f
Let b = -3 + 5. What is the second derivative of -2 + j**2 + j + b wrt j?
2
Find the second derivative of -5 + 9*w - 4 + 4*w**3 + 7*w + 7 wrt w.
24*w
Let d(h) be the third derivative of -h**6/180 - h**5/60 + h**3/6 + 6*h**2. Let i(r) be the first derivative of d(r). Find the second derivative of i(o) wrt o.
-4
Suppose -5*o = a - 4 - 2, -5*a - 24 = -2*o. Differentiate -o + 1 + 1 - 3*c + 6 wrt c.
-3
Let g(i) = -i**3 + i**2 + i. Let n(f) = f**3 - 2*f**2 - 2*f - 1. Let c(j) = 3*g(j) + 2*n(j). Let q be c(-2). Differentiate -2*w**4 - w**q + 6 - 2 wrt w.
-12*w**3
Find the second derivative of -30 - 15*t**2 + 40*t - 19 + 49 wrt t.
-30
Let c(i) = 20*i**3 + 17*i**2 - 8*i - 79. Let t(w) = -7*w**3 - 6*w**2 + 3*w + 26. Let h(y) = 3*c(y) + 8*t(y). What is the derivative of h(x) wrt x?
12*x**2 + 6*x
Let b(d) = 3*d + 23. Let p(z) = z + 8. Let o(k) = -k**2 + 3*k - 2. Let r be o(4). Let s(v) = r*b(v) + 17*p(v). Differentiate s(h) wrt h.
-1
Let o = 6 - 1. Find the third derivative of v**3 + 2*v**3 + 4*v**2 - 3*v**3 - 2*v**o wrt v.
-120*v**2
Let f(z) be the first derivative of -4*z**6/3 - 9*z**2/2 - 4. Find the second derivative of f(b) wrt b.
-160*b**3
Suppose 20 = 5*z - z. Find the third derivative of z*i**5 - 2*i**4 - 2*i**4 - 5*i**2 + 4*i**4 wrt i.
300*i**2
Let m(h) = -12*h**3 - 3*h**2 + 2*h + 3. Let g(t) = -12*t**3 - 4*t**2 + t + 4. Let i(x) = 3*g(x) - 4*m(x). What is the second derivative of i(l) wrt l?
72*l
Find the third derivative of 1 - 7*g**2 - 1 - g**2 + g**4 wrt g.
24*g
Suppose 34 - 10 = 3*l + 3*o, 5*o - 8 = -l. Let v = 10 - l. What is the second derivative of v*w - 2*w**3 + 0*w**3 + 0*w**3 + w wrt w?
-12*w
What is the derivative of 287*w**2 - 15*w**4 - 287*w**2 + 19 wrt w?
-60*w**3
Let h(k) = 41*k**4 + 6*k**3 - 6*k**2 - 12*k - 4. Let i(r) = -r**4 + r**3 - r**2 - 1. Let s(v) = -h(v) + 6*i(v). Find the second derivative of s(x) wrt x.
-564*x**2
Let n be -2 - 2*(-3 + 1). Let x(h) be the second derivative of 1/6*h**3 + 0 + n*h - 1/2*h**2. Differentiate x(y) wrt y.
1
Let x = 2 - 1. Let n = x + 1. Find the third derivative of s**2 + s**n - 4*s**5 + 5*s**5 wrt s.
60*s**2
Let x = -12 + 14. Find the third derivative of -x*w**3 + 17*w - 17*w + 6*w**2 wrt w.
-12
Let y(j) = 2*j**3 - 23*j - 3. Let w(m) = -2*m**3 + 22*m + 2. Let o(p) = 3*w(p) + 2*y(p). Find the second derivative of o(k) wrt k.
-12*k
Let w be (-4)/6 - 15/((-135)/42). Let k(g) be the second derivative of 0 - 1/2*g**3 + 0*g**2 + 3*g - 1/6*g**w. What is the second derivative of k(m) wrt m?
-4
Let h(s) = -3*s**4 + s**2 + 5*s. Let i(t) = 5*t**4 - t**2 - 8*t. Let y(w) = -8*h(w) - 5*i(w). Find the third derivative of y(a) wrt a.
-24*a
Let n(m) be the first derivative of -m**7/210 + m**5/60 - m**2/2 + 4. Let f(h) be the second derivative of n(h). What is the third derivative of f(c) wrt c?
-24*c
Let l(n) be the third derivative of -7*n**6/120 + 7*n**4/24 - n**2. What is the second derivative of l(j) wrt j?
-42*j
Find the third derivative of -8*v**5 - 2*v**2 + 9*v**2 + 3*v**5 wrt v.
-300*v**2
Let w(c) be the third derivative of -29*c**6/120 - c**4/6 + 13*c**3/6 + 20*c**2. What is the second derivative of w(h) wrt h?
-174*h
Suppose 8 = 2*y - 0. Let z(x) = 3*x**3 + 4*x**2 - 4*x. Let a(f) = -3*f**3 - 5*f**2 + 5*f + 1. Let q(u) = y*a(u) + 5*z(u). Differentiate q(h) wrt h.
9*h**2
Let b(q) be the second derivative of -q**4 - 2*q**3 + 6*q. What is the second derivative of b(i) wrt i?
-24
Let u(b) = 61*b**2 + 3*b + 65. Let q(o) = o. Let n(m) = 3*q(m) - u(m). Find the first derivative of n(p) wrt p.
-122*p
Let n(h) be the second derivative of 1/42*h**7 + 0*h**6 + 0*h**2 + 0*h**5 + 0*h**3 + 1/12*h**4 + 0 + 2*h. Find the third derivative of n(t) wrt t.
60*t**2
Let d be (-1 - 1)*(-3)/3. Find the third derivative of -s**2 - d*s**2 + 3*s**6 - s**6 + 0*s**6 wrt s.
240*s**3
Let d(f) = 9*f**2 + 9. Let a(l) = -6*l**2 - 6. Let s be 2*-1 + 24/(-8). Let o(q) = s*d(q) - 8*a(q). Differentiate o(x) with respect to x.
6*x
Let d(m) = 2*m**2 - m - 1. Let x be d(2). Let w be 0/(-1) + x - 1. Find the first derivative of 0*g**4 - g**4 + 2 + 0*g**w wrt g.
-4*g**3
Let u(z) be the first derivative of 5*z**6/3 + 5*z**3/3 - 5. What is the third derivative of u(b) wrt b?
600*b**2
Differentiate 3 - 2 - 8*r**2 + 3*r**2 with respect to r.
-10*r
Let g(n) be the first derivative of 0*n + 0*n**3 + n**2 - 2 + 0*n**4 + 3/5*n**5. What is the second derivative of g(w) wrt w?
36*w**2
Let j = -259/2 - -131. Let l(c) be the second derivative of 2/3*