d derivative of m(d) wrt d.
20*d**3
Let z(b) be the third derivative of -17*b**6/120 + b**5/60 - 73*b**4/8 + 35*b**2. Find the second derivative of z(i) wrt i.
-102*i + 2
Let z = 1124 - 1124. Let n(x) be the second derivative of 0*x**3 + 0*x**5 + x**4 + x + 0*x**2 + z + 0*x**6 + 1/42*x**7. Find the third derivative of n(i) wrt i.
60*i**2
What is the third derivative of m**2 - 40*m**3 + 2 + 193*m - 193*m wrt m?
-240
Let s(d) be the second derivative of 12*d**2 + 0 + 2/15*d**6 + 0*d**5 + 0*d**4 + 0*d**3 + 8*d. What is the first derivative of s(y) wrt y?
16*y**3
Let k(i) = -1671*i**2 + 14*i + 502. Let z(u) = 557*u**2 - 5*u - 167. Let x(r) = 3*k(r) + 8*z(r). Find the second derivative of x(s) wrt s.
-1114
Let i(o) be the second derivative of 37*o**6/30 - 35*o**2/2 - 3*o - 2. Differentiate i(t) wrt t.
148*t**3
Suppose 10*m = 9*m + 2. Let w(v) = 2*v**3 - 3*v**2 + 2*v - 3. Let j be w(m). Find the second derivative of 1 + j*r**4 - 1 - r**4 + 6*r wrt r.
48*r**2
Let n(s) = 7*s**3 + 8*s**2 + 5. Let k = 1 - 6. Let o(u) = -3*u**3 - 4*u**2 - 2. Let d(y) = k*o(y) - 2*n(y). What is the third derivative of d(v) wrt v?
6
Let h(x) = -x**2 + 4*x + 5. Let a be h(4). Suppose -t = -2*v + 15, 5*v - 2 = -3*t + 19. Differentiate -4 - 3*k + k + v*k - a*k wrt k.
-1
Let a(h) be the third derivative of 0 - 13*h**2 + 0*h + 1/4*h**4 - h**3. What is the first derivative of a(x) wrt x?
6
What is the derivative of -2242*u**2 + 145 + 2294*u**2 - 26 wrt u?
104*u
Let r(y) be the first derivative of 184*y**4 - 80*y**2 + 395. Find the second derivative of r(a) wrt a.
4416*a
What is the third derivative of 644*w**2 + w**3 + 477*w**5 - 382*w**5 - 12*w**2 - w**3 wrt w?
5700*w**2
Let l(v) = 3*v**3 + 58*v**2 + 10. Let z(h) = -7*h**3 - 117*h**2 - 18. Let y(o) = -11*l(o) - 6*z(o). What is the third derivative of y(x) wrt x?
54
Let r = 855 - 855. Let d(m) be the first derivative of 5*m - 1 + r*m**2 - 7/3*m**3. What is the derivative of d(c) wrt c?
-14*c
Differentiate 24*x**2 - 19 - 2*x**2 - 11 - 107*x**2 wrt x.
-170*x
Let c = 15 + -7. What is the third derivative of -c*o**2 + 0*o**5 + 5*o**2 - 5*o**5 + 11*o**2 wrt o?
-300*o**2
Let w(n) = -2*n**4 + 18*n**2 + 63*n + 4. Let d(c) = -c**4 - c**2 - c + 1. Let x(a) = 4*d(a) - w(a). Find the second derivative of x(k) wrt k.
-24*k**2 - 44
Let h(a) = 19*a - 16. Let x(k) be the first derivative of -28*k**2 + 49*k + 2. Let n(g) = 7*h(g) + 2*x(g). Differentiate n(i) wrt i.
21
Let s(h) = -h**3 - 2*h**2 - 3*h + 1. Let m be s(-3). What is the third derivative of 15*z**4 + 9*z**4 + 19*z - m*z - 32*z**2 wrt z?
576*z
Let j be (-7)/21 + 14/6. Differentiate -15*d**j + 0*d**2 + 20 + 5 with respect to d.
-30*d
Let a(b) = -b + 1. Let o(y) = -2*y - 96. Let m(f) = -10*a(f) - o(f). What is the derivative of m(z) wrt z?
12
Find the second derivative of 1 + 2*h + 123*h**2 - 217*h**2 + 26*h wrt h.
-188
Suppose 0 = 4*w - 16 - 0. What is the third derivative of -40*c**5 - 84*c**4 + 84*c**w - 17*c**2 wrt c?
-2400*c**2
Let d(j) = -11 + 7*j**2 + 2*j**2 - 8*j**2 - 6*j. Let b be d(8). What is the third derivative of 13*p**4 - 13*p**4 - 3*p**2 - b*p**4 wrt p?
-120*p
Find the third derivative of 31*z**2 + 45*z**2 - 206*z**5 + 2 - 48*z**2 + 22*z**2 wrt z.
-12360*z**2
Suppose -19*m = 20*m + 12*m. Let a(p) be the third derivative of -1/3*p**4 - 5/6*p**3 + 0*p + 4*p**2 + m. What is the first derivative of a(z) wrt z?
-8
Let z(p) be the second derivative of p**4/6 - p**3/2 + 13*p. Let b be z(2). Find the second derivative of -11*w**b + 2*w + 3*w + 3*w**2 - 11*w wrt w.
-16
Let r(q) = -43*q**3 + 6*q**2 + 13*q - 6. Let x(s) = s**2 + s - 1. Let v(b) = -r(b) + 6*x(b). What is the second derivative of v(n) wrt n?
258*n
Suppose 3*s - t - 26 = 0, -2*s + 3*t + 18 + 4 = 0. Let w = s - 6. Find the first derivative of -2 - w*h**4 - 4 + 0*h**4 wrt h.
-8*h**3
What is the derivative of 4*v**2 - v**2 + 15 - 155 + 10 + v wrt v?
6*v + 1
Differentiate 46 - 17*n + 37*n - 20*n - 24*n**2 + 18*n**4 + 46*n**2 with respect to n.
72*n**3 + 44*n
Let s(m) be the first derivative of -239*m**6/3 - 280*m**3/3 - 182. Find the third derivative of s(n) wrt n.
-28680*n**2
Let h(p) be the second derivative of -5*p**7/6 + p**5/10 - 7*p**4/12 - 2*p**2 + 61*p + 1. What is the third derivative of h(q) wrt q?
-2100*q**2 + 12
Let a(q) be the third derivative of 0*q**6 + 0*q**5 - 5/12*q**4 + 0*q + 0 + 24*q**2 - 3/112*q**8 + 0*q**3 + 0*q**7. Find the second derivative of a(h) wrt h.
-180*h**3
Let r(t) be the second derivative of 2*t**5/5 - 3*t**4/4 - 47*t**2 - 131*t. What is the first derivative of r(b) wrt b?
24*b**2 - 18*b
Suppose -3*z = -r - 32, -2*z + 2*r + 16 = -8. What is the third derivative of 9*a**4 + 9*a**2 + z*a**4 + 4*a**4 - 11*a**4 wrt a?
288*a
Let c(x) be the second derivative of -4*x + 0 + 10*x**2 + 7/20*x**5 + 0*x**3 + 0*x**4. What is the derivative of c(q) wrt q?
21*q**2
Suppose 0*m - 5 = -m. What is the derivative of m - 7 + 3*x - 7 wrt x?
3
Let x(f) be the first derivative of -5/2*f**2 + 4*f + 12. What is the first derivative of x(v) wrt v?
-5
Let d(j) = j**3 + j**2 + 2*j + 2. Let w(f) = -27*f**3 + f**2 - 6*f + 165. Let b(k) = 3*d(k) + w(k). Find the first derivative of b(v) wrt v.
-72*v**2 + 8*v
Let f(r) be the third derivative of 3*r**8/16 + 2*r**5/3 - r**2 + 18. What is the third derivative of f(d) wrt d?
3780*d**2
Let c(o) be the second derivative of 349*o**4/12 - o**3/6 - 115*o**2/2 + 411*o. Find the second derivative of c(x) wrt x.
698
Let m(r) be the first derivative of 0*r**3 + 7/6*r**6 + 0*r + 1 + 0*r**5 + 6*r**2 + 0*r**4. What is the second derivative of m(f) wrt f?
140*f**3
Let r(k) be the second derivative of -359*k**6/30 - 253*k**2/2 - 337*k. Differentiate r(w) wrt w.
-1436*w**3
Find the first derivative of -88 + 30 + 577*w**2 - 499*w**2 wrt w.
156*w
Let k(o) be the third derivative of 0*o + 1/3*o**4 - 7*o**2 + 0*o**3 + 0*o**5 + 0*o**6 + 0 + 1/105*o**7. Find the second derivative of k(p) wrt p.
24*p**2
Find the third derivative of -11*r**5 - 4193 + 4200 + 135*r**5 + 3*r**2 wrt r.
7440*r**2
Let c(s) be the third derivative of s**6/60 + 4*s**4/3 + 41*s**3/3 - 59*s**2 - 1. Differentiate c(r) wrt r.
6*r**2 + 32
Let p(b) = -2*b - 2. Let l be p(-2). Suppose z + 10 = l*x + 2*x, 0 = -4*z - 8. Differentiate 7*j**x + 1 + 3 - j**2 + 2 wrt j.
12*j
Let a(i) = 2*i**2 - 19*i + 25. Let b be a(-16). Differentiate -b + 867 + r**3 - 11*r**2 + 0*r**3 with respect to r.
3*r**2 - 22*r
Let n(j) be the first derivative of -2*j**3/3 - 65*j**2/2 - 107*j + 35. Differentiate n(c) with respect to c.
-4*c - 65
Let l(a) = -22*a - 13. Suppose -h - 5*h + 30 = 0. Let r(x) = 33*x + 19. Let q(z) = h*r(z) + 8*l(z). Differentiate q(i) wrt i.
-11
Let o(t) be the third derivative of 0*t**3 + 0 + 0*t + 2/15*t**5 + 1/42*t**7 + 0*t**4 + 0*t**6 + 6*t**2. What is the third derivative of o(s) wrt s?
120*s
Let q(y) be the second derivative of 11*y**9/504 - y**5/5 - y**2/2 - 5*y. Let h(i) be the first derivative of q(i). What is the third derivative of h(t) wrt t?
1320*t**3
Let b(h) = 490*h**2 + 619. Let x(n) = 983*n**2 + 1238. Let c(y) = -11*b(y) + 6*x(y). What is the first derivative of c(v) wrt v?
1016*v
Let b(d) = 3*d + 31. Let f be b(-7). What is the third derivative of -10*i**4 + 14*i**2 - 10 + f wrt i?
-240*i
Suppose -2*q = 4*x + 3 - 27, 5*q = -4*x + 36. What is the derivative of -5 + h**4 - 3 + 6*h**4 + x*h**4 wrt h?
44*h**3
Let f(g) be the third derivative of -44*g**7/105 + 47*g**5/60 + 100*g**2. Find the third derivative of f(b) wrt b.
-2112*b
Let u(x) be the first derivative of -7*x**3 + 5*x**2/2 + 206*x - 87. What is the derivative of u(s) wrt s?
-42*s + 5
Let g(m) be the third derivative of -193*m**5/30 + m**4/4 + 8*m**3/3 - 284*m**2. What is the second derivative of g(a) wrt a?
-772
Let i(d) = -8*d**6 + 17*d**4 - 5*d**2 - 4*d. Let f(q) = -4*q**6 + 8*q**4 - 2*q**2 - 2*q. Let w(n) = 9*f(n) - 4*i(n). Find the third derivative of w(c) wrt c.
-480*c**3 + 96*c
Suppose -2*h = -3*c - 7, -3*h = 4*c - 9*c - 12. Let o(j) = -1. Let f(z) = -14*z - 17. Let b(l) = h*f(l) + 4*o(l). Find the first derivative of b(u) wrt u.
14
Let n be (-312)/(-21) - (-7)/49. Let j = 5 - 3. What is the second derivative of d**3 - n*d**3 + 12*d + j*d wrt d?
-84*d
Suppose 2*t - 9 = -k - 0*t, 0 = k - t - 9. Find the third derivative of k*x**2 + 4*x**3 - 4*x**3 