**2 - 4*b + d*b**2 wrt b?
-12
Differentiate o**2 - 2 + 0 + 2*o**2 + 9 with respect to o.
6*o
Let f(h) = -10*h**5 - 6*h**3 + 4*h - 6. Let v(o) = -11*o**5 - 7*o**3 + 3*o - 7. Let u(m) = -7*f(m) + 6*v(m). Find the second derivative of u(z) wrt z.
80*z**3
Let f(r) be the second derivative of -r**10/15120 + r**7/630 + r**4/4 + r. Let s(c) be the third derivative of f(c). What is the third derivative of s(h) wrt h?
-120*h**2
Let g(n) be the third derivative of n**10/1680 - n**6/120 + 5*n**3/6 + n**2. Let q(h) be the first derivative of g(h). Find the third derivative of q(v) wrt v.
360*v**3
Let f(i) be the second derivative of i**9/72 - i**5/60 + 9*i**2/2 - 9*i. Let l(m) be the first derivative of f(m). Find the third derivative of l(b) wrt b.
840*b**3
Let p(m) = -2*m + 1. Let s be p(-2). Let b = s - 3. What is the third derivative of -2*h**2 + h**5 + b*h**2 + h**2 wrt h?
60*h**2
Let v(z) be the second derivative of -z**8/560 - 7*z**4/24 - z**3/2 + 7*z. Let s(j) be the second derivative of v(j). What is the derivative of s(t) wrt t?
-12*t**3
Let x = 12 + -7. Let j(l) be the third derivative of -7*l**4/24 - l**3/6 + l**2. Let h(c) = -6*c - 1. Let b(s) = x*j(s) - 6*h(s). Differentiate b(q) wrt q.
1
Let m(z) be the third derivative of z**8/840 + 5*z**4/24 - 5*z**3/6 + z**2. Let a(q) be the first derivative of m(q). Find the first derivative of a(u) wrt u.
8*u**3
Let v(t) be the second derivative of -7*t**6/5 + 7*t**3/2 + 39*t. What is the second derivative of v(o) wrt o?
-504*o**2
Differentiate 3 + 0 - 15*w**2 - 11 wrt w.
-30*w
Suppose l + 8 = 5*l. What is the second derivative of i + l*i**2 - 3*i - 4*i**2 wrt i?
-4
Let r(g) = 300*g**4 + 270*g**2 - 270*g + 300. Let k(y) = -y**4 - y**2 + y - 1. Let a(u) = -540*k(u) - 2*r(u). What is the first derivative of a(h) wrt h?
-240*h**3
Let n(r) = -26*r**2 - 17*r - 8. Let d = 24 + -7. Let w(h) = 9*h**2 + 6*h + 3. Let y(l) = d*w(l) + 6*n(l). Differentiate y(o) wrt o.
-6*o
What is the second derivative of -30 + 44*s + 30 + 7*s**5 + 30*s**5 wrt s?
740*s**3
Let z(x) be the third derivative of x**8/84 + 23*x**4/24 - 8*x**2. Find the second derivative of z(y) wrt y.
80*y**3
What is the third derivative of -2*v**2 + 10*v**2 - 79*v**5 + 80*v**5 wrt v?
60*v**2
Let g(a) = a**2 + 3*a - 5. Let d be g(-5). Suppose 0*k - 2*k = i - 1, 3*i = -d*k + 1. Find the first derivative of -3*h**2 - 2 + 3*h**2 + h**2 - 4*h**k wrt h.
-6*h
Let h(x) = -x + 4. Let z be 1/3 + 84/18. Let c be 1 + -2 - (1 + -4). Let f(a) = 2*a - 9. Let i(j) = c*f(j) + z*h(j). Differentiate i(r) wrt r.
-1
Let h(k) be the first derivative of 3*k**5/20 + 3*k**2/2 - k - 2. Let r(s) be the first derivative of h(s). What is the first derivative of r(i) wrt i?
9*i**2
Let z(t) be the first derivative of 3*t**7/7 - 20*t**3/3 + 11. What is the third derivative of z(b) wrt b?
360*b**3
Let z(k) be the first derivative of -k**9/504 + k**5/20 - 2*k**2 - 4. Let p(b) be the second derivative of z(b). What is the third derivative of p(c) wrt c?
-120*c**3
Let v(x) = 37*x**3 + 4*x**2 - x - 1. Let y(s) = s**3 - s**2 + s + 1. Let j(a) = -v(a) - y(a). Find the third derivative of j(f) wrt f.
-228
Let j(s) = -19*s**2. Let p(i) = 39*i**2 - i. Let z(b) = -13*j(b) - 6*p(b). Find the second derivative of z(w) wrt w.
26
Let f(x) = x**3 - 6*x**2 + 4*x + 5. Let j be f(5). Let d = 2 - -4. What is the derivative of -d - h**2 + 4 + j*h**2 wrt h?
-2*h
Suppose -u = 2*z + 1 - 4, -5*u - 5 = 0. Differentiate -m**2 - m**2 - z + 4 wrt m.
-4*m
Let s(r) = -12*r**3 - 3*r**2 + 5*r - 5. Let x(n) = 6*n**3 + 2*n**2 - 3*n + 3. Let v(o) = 3*s(o) + 5*x(o). What is the third derivative of v(t) wrt t?
-36
Let i(y) be the second derivative of -5/2*y**2 - 7*y + 0*y**3 + 0 + 1/6*y**4. Find the first derivative of i(x) wrt x.
4*x
Let d(y) be the first derivative of y**6/10 + y**2 + 2*y + 4. Let n(l) be the first derivative of d(l). Differentiate n(s) with respect to s.
12*s**3
Let y(t) be the second derivative of -t**6/2 + t**5/20 + t**4/3 - t**3/2 - 13*t. What is the third derivative of y(u) wrt u?
-360*u + 6
Let o(m) be the third derivative of -2*m**5/15 + 7*m**3/6 + 24*m**2. Differentiate o(c) wrt c.
-16*c
Let w(n) = n**3 - 5*n**2 + 5*n - 1. Let d be w(4). Differentiate -10 - 3 + a**d + 12 wrt a.
3*a**2
Let b(d) = -5*d + 2. Let f be b(3). Let y be (1 + f)*2/(-4). What is the third derivative of 2*r**3 - 3*r**3 - y*r**2 + 4*r**2 wrt r?
-6
Let h(z) = -z**3 - 6*z**2 - 4*z + 7. Let s be h(-5). Find the first derivative of s*k - 5 + k + 5 + 3 wrt k.
3
Let b(j) = 6 + 0 - 4 - 16*j + 7*j. Let d(x) = -8*x + 1. Let y(g) = -4*b(g) + 5*d(g). Differentiate y(w) with respect to w.
-4
Let v(j) = j + 1. Let x(w) = 7 + 6*w + 1 - 3. Let n(d) = -11*v(d) + 2*x(d). Differentiate n(g) wrt g.
1
Let v(m) = 45*m**3 + 4*m**2 - 4*m + 9. Let i(h) = -134*h**3 - 11*h**2 + 11*h - 27. Let k(q) = 4*i(q) + 11*v(q). Differentiate k(u) wrt u.
-123*u**2
Let u(v) be the first derivative of 5*v**6/6 - 4*v**2 - 3. Find the second derivative of u(b) wrt b.
100*b**3
Let d(n) = 81*n**2 - 81*n. Let w(f) = f**2 - f. Let i(t) = -3*d(t) + 216*w(t). Find the second derivative of i(j) wrt j.
-54
Let o be 7 - ((-2)/1)/(-2). Find the third derivative of 4*u**2 - 2*u**2 - 3*u**6 + 2*u**o wrt u.
-120*u**3
Let f(q) = -5*q + 14. Let l(r) = -5*r + 13. Let d(n) = -3*f(n) + 4*l(n). What is the first derivative of d(j) wrt j?
-5
Let f(r) be the first derivative of r**9/1512 + r**6/120 + r**3 + 2. Let t(n) be the third derivative of f(n). Find the third derivative of t(l) wrt l.
120*l**2
Let t be (-88)/(-20) + (-4)/10. Find the second derivative of 4*j + j**3 - 3*j**3 + 2*j**3 + 3*j**t wrt j.
36*j**2
Let r(d) = 53*d - 14. Let q(x) = 26*x - 7. Let j(n) = 9*q(n) - 4*r(n). Differentiate j(v) wrt v.
22
Find the second derivative of 144*z**2 + 143*z**2 + 37*z**3 - 17*z - 287*z**2 wrt z.
222*z
Let k(n) be the second derivative of n**7/630 + n**6/240 + n**4/6 - 4*n. Let c(m) be the third derivative of k(m). Find the second derivative of c(d) wrt d.
8
Let g(o) = -o**3 + 5*o**2 - o + 6. Let p be ((-2)/(-4))/((-1)/(-10)). Let b be g(p). What is the derivative of -2 + 0 + 6*w**2 - 4*w**2 - b wrt w?
4*w
What is the derivative of 0 + 0*w**3 - 6*w**3 - 2 wrt w?
-18*w**2
Let d(g) be the second derivative of -g**6/15 - 17*g**2/2 + 19*g. What is the first derivative of d(i) wrt i?
-8*i**3
Let u(t) = 17*t**2 + 5*t + 3. Let s(m) = -8*m**2 - 2*m - 1. Let v(z) = -5*s(z) - 2*u(z). What is the first derivative of v(q) wrt q?
12*q
Let g(d) = -d**2 - 10*d - 7. Let x be g(-9). Suppose 0 = -w + 5. Find the third derivative of x*j**2 - 2*j**w - 5*j + 5*j wrt j.
-120*j**2
Differentiate -28 - 52*i + 82*i + 37*i wrt i.
67
Let m(d) be the third derivative of -17*d**8/336 + d**5/30 - 29*d**4/24 - d**3/6 - 10*d**2 - 1. Find the second derivative of m(x) wrt x.
-340*x**3 + 4
Suppose -4*d = -5*d. What is the derivative of 5 - 2*g + d - 3 + 1 wrt g?
-2
Let n(d) be the first derivative of -11*d**6/3 - 10*d**3/3 - 25. What is the third derivative of n(r) wrt r?
-1320*r**2
Let h(l) = -l**3 - 3*l**2. Let t(y) = 3*y**2. Let x(j) = 2*h(j) + 3*t(j). Find the third derivative of x(m) wrt m.
-12
Suppose 0 = -q + 3*a + 12, 5*a + 26 + 4 = 5*q. Differentiate h**q - 7*h**3 + 3 + 1 + h**3 wrt h.
-15*h**2
Let g(p) be the second derivative of 0 - 2/15*p**6 + 0*p**4 - 3/2*p**2 + 0*p**3 - 2*p + 0*p**5. What is the first derivative of g(o) wrt o?
-16*o**3
Suppose -4*b + 12 = -0*b. Let x = 5 + -3. Differentiate 6*d**x - d**b - 6*d**2 + 1 with respect to d.
-3*d**2
Find the third derivative of -13*a**5 - 29*a**2 + 9*a**2 + 18*a**5 wrt a.
300*a**2
Let z(i) be the third derivative of i**6/45 + i**4/12 - i**3 + 3*i**2. Let v(y) be the first derivative of z(y). What is the derivative of v(o) wrt o?
16*o
Let a(s) be the third derivative of -s**6/120 + s**5/60 + s**3 - 6*s**2. Let v(f) be the first derivative of a(f). What is the second derivative of v(k) wrt k?
-6
Suppose -20 = r - 5*r. Let o be 23/r + (-2)/(-5). Find the third derivative of 0*s**2 - 2*s**2 + 2*s**5 - 5*s**5 + 4*s**o wrt s.
60*s**2
Let n be (-2)/10 + 208/65. Suppose -3*g + 7 + 9 = -5*i, 3*g + 4*i + 2 = 0. Find the third derivative of n*q**2 - g*q**2 - q**2 + q**3 - 3*q**2 wrt q.
6
Let u(k) be the second derivative of -3/2*k**2 + 0 - 1/3*k**3 - 3*k. Differentiate