ivative of 10*r**6 - 18 + 45*r**2 + 18 wrt r.
1200*r**3
Let z(p) be the second derivative of -14*p**5/5 + 43*p**3/6 - 2*p - 3. Find the second derivative of z(d) wrt d.
-336*d
Let u(m) = m - 1. Let j be 3/(-3) - (-2 - 1). Let r(g) = 13*g**2 - 15*g**j + g + 1 + 0*g. Let z(c) = r(c) - u(c). What is the first derivative of z(h) wrt h?
-4*h
Let y(n) be the second derivative of -n**6/720 + n**5/30 + n**4/3 + 5*n. Let f(k) be the third derivative of y(k). Find the first derivative of f(u) wrt u.
-1
Find the second derivative of 4 + 14*s - 3 + 0 - 7*s**2 wrt s.
-14
Let p = -8 + 10. What is the second derivative of 3*r**3 + 3*r + r + p*r**3 wrt r?
30*r
Let x(p) be the second derivative of p**6/15 + p**4/3 + 33*p**2/2 - 30*p. Differentiate x(d) with respect to d.
8*d**3 + 8*d
Let t be 1*-4*(-6)/8. Let z(r) be the first derivative of t + r**3 + 0*r**2 - 1/2*r**4 + 0*r. What is the third derivative of z(l) wrt l?
-12
Find the second derivative of -4*m**5 + 0*m**5 - 2*m + 5*m wrt m.
-80*m**3
Suppose q + 11 = -0*q + 3*a, 4*a - 44 = 5*q. Let n = q - -10. What is the derivative of -6*y**3 + n*y**3 - 3*y**2 + 3 + 3*y**2 wrt y?
-12*y**2
Let n(l) be the second derivative of 5*l**4/12 - 4*l**3/3 + 9*l. What is the second derivative of n(x) wrt x?
10
Suppose o - 3*o + 4 = 0. Suppose -o*p + 3*p = 3. Find the second derivative of p - 2*t**4 - 3 - 2*t wrt t.
-24*t**2
Let f(d) be the first derivative of -5*d**7/42 - d**4/6 + 3*d - 3. Let l(h) be the first derivative of f(h). Find the third derivative of l(r) wrt r.
-300*r**2
Differentiate -16 - 10 + 32 - 14 + 2*y wrt y.
2
What is the third derivative of 3*q**3 + 2*q**2 + 2*q**3 + 3*q**2 wrt q?
30
Let u(n) be the third derivative of -n**6/30 - n**4/24 + 3*n**2. What is the second derivative of u(i) wrt i?
-24*i
Let k be (-4 - -3) + 6 - 2. What is the third derivative of s**k - 3*s**5 - 35*s**2 - s**3 + 32*s**2 wrt s?
-180*s**2
Let a(r) = 2*r**3 + r**2 - r. Let p be a(1). Find the second derivative of -1 - p*v - v**3 + 1 wrt v.
-6*v
Let d(o) = -3*o**4 + 2*o**3 + 2*o**2 - 2*o + 10. Let f(q) = q**4 + q**3 + q**2 - q + 1. Let l(h) = d(h) - 2*f(h). Differentiate l(z) with respect to z.
-20*z**3
Let j(i) = -3*i**6 + 3*i**5 + 3*i**3 - 7*i**2 - 3. Let p(v) = -v**5 - v**3 + v**2 + 1. Let q(f) = j(f) + 3*p(f). What is the third derivative of q(u) wrt u?
-360*u**3
Let q(h) be the first derivative of -7*h**4/4 - h**2 - 3. What is the second derivative of q(z) wrt z?
-42*z
Let w = 12 + -9. Let g(v) be the second derivative of -1/3*v**3 + 0 + 0*v**2 + 0*v**4 + 1/20*v**5 + w*v. What is the second derivative of g(m) wrt m?
6*m
Let x(s) be the second derivative of 9*s**5/20 + 5*s**3/3 + 2*s. Find the second derivative of x(a) wrt a.
54*a
Suppose 4*j - 5 - 7 = -4*r, 3*j = 4*r - 12. Differentiate 0*o**2 + j*o**2 - 4 - 3*o**3 + 6*o**3 wrt o.
9*o**2
Let s = -1 - -4. What is the first derivative of 3*f + 3 + 3*f - s*f - 6*f wrt f?
-3
Let d be ((-1)/2)/(3/(-12)). Let b(c) = -c**3 - 2. Let k(f) = f**3 - f**2 - 1. Let t(s) = d*k(s) - b(s). What is the third derivative of t(v) wrt v?
18
Let t(k) be the second derivative of 1/3*k**3 - 3*k - 1/20*k**5 + 0 + 0*k**2 + 0*k**4. What is the second derivative of t(b) wrt b?
-6*b
Suppose -4*g + 22 = -h, 0 = 2*g + h - 2*h - 10. Suppose 14 = 2*n + g. What is the third derivative of t**3 - n*t**3 + 2*t**2 + 0*t**2 wrt t?
-18
Let b(z) = -4 + 2*z + 4 + 1. Let j(m) = m + 1. Let a(s) = -4*b(s) + 3*j(s). Differentiate a(l) with respect to l.
-5
Let q(o) be the first derivative of o**4/8 - 2*o**3/3 + o**2 - 4. Let v(x) be the second derivative of q(x). What is the first derivative of v(w) wrt w?
3
Let r(w) be the third derivative of 13*w**5/60 - 5*w**4/24 - 7*w**2. Find the second derivative of r(p) wrt p.
26
Let k(q) = q**2. Let g be k(0). Find the first derivative of g - 2*r + 0 + 2 - 1 wrt r.
-2
Let u(p) = -3*p**3 - p**2 - p. Let k be u(-1). Suppose k*z = 22 - 7. What is the second derivative of -2*g**5 - g + 6*g**z - 2*g**5 wrt g?
40*g**3
What is the first derivative of -8 - 17 + 11*v**2 + v**2 wrt v?
24*v
Let u(b) be the first derivative of -9*b**2/2 - 19*b - 8. Differentiate u(h) with respect to h.
-9
Let b = 10 + -7. Let s = -2 - -6. Find the second derivative of -s*v + 3*v**3 + 7*v + 0*v**b wrt v.
18*v
What is the first derivative of h**3 + 7*h**4 - 4 + 4*h**3 - 5*h**3 wrt h?
28*h**3
Let d(c) be the second derivative of 33*c**5/20 + c**2/2 - c + 17. What is the first derivative of d(n) wrt n?
99*n**2
Suppose 2*o = -4, 2*c + 2*o + 5 + 11 = 0. Let a(g) = -2*g - 6. Let t be a(c). What is the second derivative of h**2 + 4*h - t*h + 0*h**2 wrt h?
2
Let r(l) = -30*l**2 - 2*l + 15. Let p(k) = -119*k**2 - 9*k + 61. Let n(q) = 2*p(q) - 9*r(q). What is the first derivative of n(d) wrt d?
64*d
Suppose 0 = 2*b - 3 + 1. Let p = b - -2. What is the derivative of 1 + p*c**4 - 2*c**4 - 2*c**4 wrt c?
-4*c**3
Let k(z) be the third derivative of 0*z**3 + 0*z**4 + 0*z**6 + 0 - 1/20*z**5 - 1/105*z**7 + 0*z + 4*z**2. Find the third derivative of k(i) wrt i.
-48*i
Find the second derivative of 0 + 23*r**2 - 2 + 48*r - 80*r**2 - 42*r wrt r.
-114
Let s(f) = -f**2 + 5*f + 3. Let q be s(5). Suppose 0 = q*v - 13 - 2, 4*m - 2*v - 22 = 0. Find the second derivative of m*c**5 + 0*c + 3*c - 11*c**5 wrt c.
-60*c**3
Let b(d) = -d**3 + 11*d**2 - 10*d + 2. Let s be b(10). Let o = 7 + -5. What is the third derivative of -j**4 + j**o + 0*j**4 - 3*j**s wrt j?
-24*j
Let o(a) = 152*a + 138. Let s(m) = 51*m + 46. Let t(n) = -3*o(n) + 8*s(n). What is the derivative of t(q) wrt q?
-48
Find the third derivative of -19*y**3 - 35*y**3 - 10*y**3 + 18*y**3 + 41*y**2 wrt y.
-276
Suppose 0 = -5*a + 7*a - 8. What is the second derivative of -3*t**5 - 3*t**4 + 3*t**4 + 0*t**a - 6*t wrt t?
-60*t**3
Let z(g) be the second derivative of -g**8/280 - g**5/24 - 5*g**3/6 + 6*g. Let l(k) be the second derivative of z(k). Find the second derivative of l(d) wrt d.
-72*d**2
Let v(c) = 2*c. Let a be v(2). Let q = -1 + a. Find the second derivative of 3*n**3 + 3*n + n**3 - 2*n**3 - 3*n**q wrt n.
-6*n
Let u = -6 - -9. Find the second derivative of -b**2 - 5*b + 5*b - u*b wrt b.
-2
Let i(k) be the first derivative of -51*k**4/4 - 14*k**3 - 22. What is the third derivative of i(r) wrt r?
-306
Let b(l) = 8*l**2 + 3*l - 1. Let u(j) = -7*j**2 - 4*j + 1. Let t(k) = 4*b(k) + 3*u(k). Differentiate t(w) wrt w.
22*w
Let h(m) be the first derivative of -27*m**2/2 - 51*m - 28. Find the first derivative of h(t) wrt t.
-27
Find the second derivative of k + 12*k**5 + 6*k + 2*k wrt k.
240*k**3
Let v(g) be the third derivative of 0*g**4 + 0*g + 0 + 0*g**6 - 1/105*g**7 + 0*g**5 + 5/6*g**3 + 4*g**2. Find the first derivative of v(o) wrt o.
-8*o**3
Let k(h) be the third derivative of 13*h**6/120 - h**5/15 - 12*h**2. Find the third derivative of k(p) wrt p.
78
Let p(v) be the first derivative of v**8/168 - 5*v**4/24 + 3*v**2/2 - 4. Let t(c) be the second derivative of p(c). What is the second derivative of t(z) wrt z?
40*z**3
Let t(i) be the third derivative of i**6/40 + 2*i**3/3 + i**2. What is the first derivative of t(u) wrt u?
9*u**2
Let i(a) = -11*a**3 + 19*a**2 + 2*a + 2. Let j(w) = 22*w**3 - 38*w**2 - 5*w - 5. Let x(b) = -5*i(b) - 2*j(b). Find the third derivative of x(u) wrt u.
66
Let y(q) = -7*q**3 + 5*q**2 + 5*q - 6. Let d(z) = 8*z**3 - 6*z**2 - 6*z + 6. Let c(j) = 5*d(j) + 6*y(j). Differentiate c(r) with respect to r.
-6*r**2
Suppose 2*f - 2 = 0, -3*f + 0*f - 2 = -5*j. Find the first derivative of -2 - j + 8*o + 0 wrt o.
8
Let s(k) be the second derivative of -11*k**3/3 + 13*k**2/2 + 3*k. Differentiate s(g) with respect to g.
-22
Let w = 175/261 + -1/261. Let h(y) be the second derivative of -1/4*y**4 + 3*y + 0*y**2 + 0 + w*y**3. What is the second derivative of h(f) wrt f?
-6
Let h(c) be the third derivative of 0*c**3 - 1/20*c**6 + 0*c - 1/12*c**4 + 0*c**5 + 0 + 5*c**2. What is the second derivative of h(f) wrt f?
-36*f
Let r(x) be the second derivative of x**8/112 + x**5/30 + 2*x**2 + x. Let n(d) be the first derivative of r(d). What is the third derivative of n(y) wrt y?
180*y**2
Let j(d) be the first derivative of -d**7/280 - d**5/60 - 2*d**3/3 + 1. Let f(c) be the third derivative of j(c). What is the second derivative of f(m) wrt m?
-18*m
Suppose 2*y + 0*y = -2*i + 6,