What is the first derivative of -2 + h + 2 + r**3 wrt r?
3*r**2
Let c(x) = 18*x**3 - 5*x**2 - 5*x - 11. Let l(t) = -19*t**3 + 6*t**2 + 6*t + 12. Let z(f) = 6*c(f) + 5*l(f). Differentiate z(u) with respect to u.
39*u**2
Let j(p) be the third derivative of 3*p**8/28 + p**4/12 + p**3 + 8*p**2. What is the second derivative of j(n) wrt n?
720*n**3
Let h(s) be the first derivative of 61*s**5/5 - 2*s**3 - 3*s + 29. What is the third derivative of h(p) wrt p?
1464*p
What is the third derivative of -44*d**6 + 5*d**2 + 14*d**2 + 49*d**6 wrt d?
600*d**3
Suppose h + 6*h - 14 = 0. Let q(k) be the third derivative of 0*k + 0 - 1/24*k**4 - 1/60*k**5 - k**h + 0*k**3. What is the second derivative of q(n) wrt n?
-2
Let f(h) = -9*h**3 - 32*h - 5. Let m(n) = -5*n**3 - 16*n - 2. Let g(s) = -2*f(s) + 5*m(s). What is the second derivative of g(p) wrt p?
-42*p
Suppose 2*x - 8 = 6*x. Let y be 3/x*(-10)/3. What is the third derivative of -4*w**5 + y*w**6 + 2*w**2 + 4*w**5 - 2*w**6 wrt w?
360*w**3
Let t(k) = k**2 - 4*k - 8. Let n be t(6). Let m(w) be the first derivative of 0*w**n + 2/5*w**5 + 1 + 0*w**2 - 2*w + 0*w**3. Differentiate m(c) wrt c.
8*c**3
Find the third derivative of 21*z - 29*z**5 + 13*z**5 + 0*z**2 + 2*z**2 - 28*z**5 wrt z.
-2640*z**2
Let w(x) be the third derivative of -x**7/280 - x**5/60 + 5*x**3/6 + 4*x**2. Let g(a) be the first derivative of w(a). Find the second derivative of g(b) wrt b.
-18*b
Let q = 21 + -21. Suppose -3*v + 8 = -v. What is the third derivative of 2 - 2 - j**2 + q*j**2 - j**v wrt j?
-24*j
Let z(w) = w**4 + 153*w + 11. Let o(p) = 51*p + 4. Let h(y) = 11*o(y) - 4*z(y). What is the second derivative of h(q) wrt q?
-48*q**2
Find the second derivative of 2*d - 2*d + 2*d**2 + d wrt d.
4
Let s(h) = h**2 + 1. Let p be s(2). Find the third derivative of 2*b**2 + b**2 - 2*b**2 + 0*b**2 + b**p wrt b.
60*b**2
Let d(x) = x**3 - 4*x**2 + 3*x + 2. Let y be d(3). What is the third derivative of -7*g**2 - 4*g**5 + 2*g**y - 3*g**5 wrt g?
-420*g**2
Let m(a) = -40*a**3 - 9*a**2 + 61*a - 9. Let x(p) = 10*p**3 + 2*p**2 - 15*p + 2. Let g(h) = 2*m(h) + 9*x(h). Find the second derivative of g(k) wrt k.
60*k
Suppose 4*n - 21 = -3*t + 4*t, n + t = -1. Differentiate r**n - r**4 + r**4 + 2*r**4 + 2 wrt r.
12*r**3
What is the second derivative of 2*o**5 - 2 + 8*o**2 - 5*o + 5*o**2 - 5*o**2 wrt o?
40*o**3 + 16
Let h(n) be the third derivative of 0*n**6 - n**3 - 1/70*n**7 + 0*n + 0 + 0*n**4 - 6*n**2 + 0*n**5. What is the derivative of h(u) wrt u?
-12*u**3
Find the third derivative of -3*l**4 + 0*l**4 - l**3 + 37*l**2 + 18*l**2 - 9*l**2 wrt l.
-72*l - 6
Find the first derivative of -12*l**3 + 37*l**3 + 1 - 6 wrt l.
75*l**2
Let u = 6 - 5. What is the first derivative of -i + i - u - 3*i**3 - 2 wrt i?
-9*i**2
Suppose 4*i - 3*p = 36, -i = -3*p + p - 9. Suppose 0 = 5*b + i - 29. Find the second derivative of -a**2 - a**2 - 2*a + b*a wrt a.
-4
Let u be (0 - 1) + 1 - -11. Differentiate 3 + f + 2*f - u*f - 1 with respect to f.
-8
Let z(n) be the first derivative of -1/2*n**6 + 2 + 0*n - 2/3*n**3 + 0*n**4 + 0*n**2 + 0*n**5. Find the third derivative of z(x) wrt x.
-180*x**2
Let i(f) = -f - 3. Let u be i(-7). Suppose 3*x + 4 = u*x. What is the first derivative of 2 + x*m - m**2 - m - 3*m wrt m?
-2*m
Let p(y) be the third derivative of -7*y**6/120 + y**5/4 + 3*y**2. Find the third derivative of p(v) wrt v.
-42
Let i(s) be the first derivative of -8*s**7/7 + 17*s**3/3 + 21. What is the third derivative of i(x) wrt x?
-960*x**3
Let t(r) be the first derivative of 7*r**4/4 + 8*r + 8. What is the first derivative of t(a) wrt a?
21*a**2
Let u(t) = t**3 + t**2 - 1. Let a(p) = 42*p**3 - 2*p**2 + 54*p + 2. Let w(x) = a(x) + 2*u(x). Find the second derivative of w(c) wrt c.
264*c
Let k(o) = -o**3 + 3*o**2. Let b be k(2). Let t(w) = w**2 + 4*w - 2. Let x be t(4). What is the second derivative of 0 + p + 0 - x*p**b + 28*p**4 wrt p?
-24*p**2
Let f(z) be the second derivative of 2*z**6/15 + z**3 + 3*z. What is the second derivative of f(o) wrt o?
48*o**2
What is the second derivative of 28*w - 11*w - 12*w - 2*w**4 - 5*w**4 wrt w?
-84*w**2
Let w be (4/(-3))/((-3)/9). Find the third derivative of -o**w + o**4 - 4*o**4 + 2*o**4 - o**2 wrt o.
-48*o
Let g = -15 - -6. Let s(z) = -6*z + 3. Let n be 2/4 - 11/2. Let b(v) = 3*v - 2. Let h(k) = g*b(k) + n*s(k). Find the first derivative of h(c) wrt c.
3
Let u(a) be the second derivative of -6*a**5/5 - 5*a**3/2 - 2*a. Find the second derivative of u(p) wrt p.
-144*p
Let v(s) = s**4 - s**2 - 1. Let k(l) = 9*l**4 + 3*l**2 - 30. Let p(x) = -k(x) - 3*v(x). What is the derivative of p(j) wrt j?
-48*j**3
Let l(z) be the first derivative of 19*z**3/3 - 9*z**2/2 + 26. What is the second derivative of l(v) wrt v?
38
Let w(f) = f**3 + f. Let o(h) = h**3 + 2*h. Let i be 2 - (0 + 3*2). Let s(g) = i*w(g) + 3*o(g). Find the second derivative of s(b) wrt b.
-6*b
Let i(y) be the first derivative of -5*y**3/3 - 6*y - 4. What is the first derivative of i(k) wrt k?
-10*k
Let i(j) = -5*j**4 + 6*j**3 + 6*j**2 - 2. Let y(p) = 6*p**4 - 7*p**3 - 7*p**2 + 1. Let w(m) = -7*i(m) - 6*y(m). What is the derivative of w(t) wrt t?
-4*t**3
Let m(h) = -17*h**2 + 3*h - 8. Let p(z) = -16*z**2 + 2*z - 8. Let f(w) = -4*m(w) + 5*p(w). What is the second derivative of f(v) wrt v?
-24
Let l(v) be the second derivative of -v**8/56 + v**4/3 - 3*v. Find the third derivative of l(w) wrt w.
-120*w**3
Suppose -5*c - 11 = 5*k - 41, k + 24 = 5*c. Let p(d) be the first derivative of k - 1/2*d**2 - d. Find the first derivative of p(j) wrt j.
-1
What is the third derivative of -106*a**2 + 56*a**2 + 60*a**2 + 11*a**4 wrt a?
264*a
Let n be 1278/15 + 3/(-15). What is the first derivative of -8*y**4 - n*y + 85*y - 8 wrt y?
-32*y**3
Let f(k) be the third derivative of k**7/42 - k**4/24 - 8*k**2. What is the second derivative of f(r) wrt r?
60*r**2
Suppose -2*u + w + 14 = 0, 4*u - 5*w = 7*u + 5. What is the second derivative of -4*q**2 - q**2 + 2*q**2 - u*q wrt q?
-6
Let k(s) be the first derivative of 4/3*s**3 + 0*s**5 + 3 + 0*s**2 + 0*s - 1/3*s**6 + 0*s**4. What is the third derivative of k(a) wrt a?
-120*a**2
Find the second derivative of -19*f - 119*f**4 - 35*f + 304*f**4 - 144*f**4 wrt f.
492*f**2
Let n(j) be the second derivative of 0 + 3/2*j**2 + 3*j + 0*j**4 - 3/20*j**5 + 0*j**3. What is the first derivative of n(q) wrt q?
-9*q**2
Let g be 3 - (0 - 0)/(-3). Find the second derivative of 58 - 3*y - 58 - 4*y**g wrt y.
-24*y
Find the first derivative of -2*a**2 - 113 - 2*a**2 + 126 + 8*a**2 - 3*a wrt a.
8*a - 3
Let i(v) be the second derivative of -v**4/2 - v**3/3 + 4*v. Find the second derivative of i(x) wrt x.
-12
Let b(u) = u**2 + u. Let c(f) = -f. Let r(y) = -3*b(y) - c(y). Let q(w) = 3*w**2 + 2*w. Let l(a) = 3*q(a) + 2*r(a). What is the second derivative of l(z) wrt z?
6
Let b(g) be the third derivative of 47*g**4/24 + 29*g**3/3 + g**2. Find the first derivative of b(u) wrt u.
47
Let b(k) be the first derivative of 0*k - 4/3*k**3 - 4 + 0*k**2 - 1/2*k**4. What is the third derivative of b(v) wrt v?
-12
Let v(z) = -10*z - 1. Let y(c) be the second derivative of 5*c**3/6 + c**2/2 + c. Let i(f) = -3*v(f) - 5*y(f). Find the first derivative of i(m) wrt m.
5
Let u(d) = 30*d**4 + 14*d**3 + 14*d**2 + 24. Let s(y) = 6*y**4 + 3*y**3 + 3*y**2 + 5. Let p(j) = 14*s(j) - 3*u(j). Differentiate p(o) with respect to o.
-24*o**3
Find the second derivative of 18*c - 3879*c**2 + 3879*c**2 - 33*c**5 wrt c.
-660*c**3
Let g(c) = -5*c**3 - c**2 + c. Let l be g(1). Let f be 10/l*4/(-2). What is the second derivative of 2*h**f - 4*h**4 + 0*h**4 + 5*h - h wrt h?
-24*h**2
Let b = -6 - -6. Suppose 2*z - 4*r = 0, b = 3*z - z + 2*r - 6. Find the third derivative of 0*u**2 - u**z + 3*u**6 + u**6 wrt u.
480*u**3
Suppose -21 = 7*z - 2*z + 3*y, -z = -2*y + 12. Let i = z - -10. What is the third derivative of -3*u**4 + 6*u**2 + 3*u**i - u**4 - 3*u**2 wrt u?
-24*u
Let w be (-2 - (3 - 1))/(-2). Find the first derivative of -1 - w + 2*u + u wrt u.
3
Let h(q) = -q**2 + 7. Let o(p) = p**2 - p - 8. Let d(f) = 4*h(f) + 3*o(f). Let j(t) = 1. Let x(r) = d(r) - 4*j(r). What is the second derivative of x(w) wrt w?
-2
Let r(a) be the second derivative of 1/7*a**7 - 5/12*a**4 + 7*a + 0*a**2 + 0*a**6 + 0*a**3 + 0 + 0*a**5. Find the third