
-240*w**3
Suppose -4*c + 5 = 5*j, -4*j + 1 = -3. Find the third derivative of 0*x**2 + 10*x**3 + 2*x**2 + c*x**2 - x**2 wrt x.
60
Let h = 14 - 8. What is the third derivative of -6*w**2 + 2*w**6 + 2*w**h + 3*w**2 wrt w?
480*w**3
Let h(j) be the first derivative of -29*j**6/6 - j**2 + 19. What is the second derivative of h(w) wrt w?
-580*w**3
Let w(g) be the second derivative of 7*g**6/5 - g**2 + 17*g. What is the derivative of w(i) wrt i?
168*i**3
Let o(n) = 10*n + 13. Let j(c) = -70*c - 90. Let x(s) = 3*j(s) + 20*o(s). Differentiate x(l) with respect to l.
-10
Let k be 78/(-21) + (-2)/7. Let p be (-27)/(-6) - (-2)/k. Find the second derivative of 3*m**2 + 3*m + 2*m**2 - p*m**2 + 3*m**2 wrt m.
8
Let w(x) = -x**3 - 3*x**2 - x. Let r be w(-3). Suppose -2*q + 14 = 5*t, 3*q = -q + 3*t + 2. What is the second derivative of -b - r*b**3 + q*b**3 + 0*b wrt b?
-6*b
Let v(f) = 5*f**5 + 6*f**2 + 4*f - 6. Let z(g) = -15*g**5 - 17*g**2 - 11*g + 17. Let d(q) = -17*v(q) - 6*z(q). Find the second derivative of d(a) wrt a.
100*a**3
Let y(h) be the third derivative of h**10/15120 - h**6/360 - h**4/6 + h**2. Let k(x) be the second derivative of y(x). Find the second derivative of k(m) wrt m.
40*m**3
Let b(z) = -42*z**2 - 27*z - 7. Let m(p) = -21*p**2 - 14*p - 4. Let l(a) = 4*b(a) - 7*m(a). Find the second derivative of l(k) wrt k.
-42
Let m(f) be the second derivative of -f**3/3 - 5*f**2/2 - 2*f. Let c be m(-4). Find the first derivative of 2*y**c - 1 + 0 + 0 wrt y.
6*y**2
What is the derivative of -3*s**3 - 3*s**3 + 17*s**3 - 8 wrt s?
33*s**2
Let n(f) = 6*f**2 + 2*f + 1. Let d be n(-1). What is the second derivative of -2*g + d*g**4 - 318 + 318 wrt g?
60*g**2
Let k(x) be the first derivative of 1 - 1/12*x**4 + 1/2*x**2 + 0*x**3 - 2*x. Let i(p) be the first derivative of k(p). Find the first derivative of i(z) wrt z.
-2*z
Let b(g) = 3*g**4 - 4*g**3 - 2*g**2 - 4. Let j(v) = -v**4 + v**3 + v**2 + 1. Let y(p) = b(p) + 4*j(p). What is the third derivative of y(r) wrt r?
-24*r
Let j(d) = -d - 1. Let m(y) = 5*y**2 - 10*y + 5. Let z(q) = -10*j(q) + m(q). Find the first derivative of z(b) wrt b.
10*b
Let t = 7 + -5. Let m(n) be the first derivative of -2 + 1 + t - n**2 - n. What is the first derivative of m(i) wrt i?
-2
Suppose 0 = -10*b + 5*b. Let j be (1 - 1) + (-14)/(-7). Find the second derivative of -h**j + 2*h + b*h**2 + 0*h**2 wrt h.
-2
Let j(c) be the third derivative of -9*c**7/70 - 41*c**5/60 + 23*c**2. Find the third derivative of j(w) wrt w.
-648*w
Let k = -463/4620 - -9/77. Let f(x) be the third derivative of 1/3*x**3 - x**2 + 0*x**5 + 0*x + 0*x**4 + 0 + k*x**6. Find the first derivative of f(y) wrt y.
6*y**2
Let c = -7 - -9. Let d(i) be the first derivative of 0*i**c - 1/2*i**4 + i + 2 + 0*i**3. Find the first derivative of d(h) wrt h.
-6*h**2
Let x(b) = 3*b**4 - 4*b**3 - 4*b - 1. Let v be (36/(-6))/((-6)/(-4)). Let p(t) = t**3 + t. Let z(j) = v*p(j) - x(j). Differentiate z(g) wrt g.
-12*g**3
Let s(o) = -20*o**4 - 13*o + 3. Let v(k) = 19*k**4 + 12*k - 2. Let u(w) = -2*s(w) - 3*v(w). Find the second derivative of u(i) wrt i.
-204*i**2
Let g(x) be the second derivative of 0*x**3 + 0*x**2 + 0 + 1/10*x**5 + 3*x - 1/3*x**4. Find the third derivative of g(q) wrt q.
12
Let u(d) be the second derivative of 17*d**4/12 + d**3/2 - 18*d. What is the second derivative of u(b) wrt b?
34
Let b(y) = 20*y + 3. Let l be b(4). What is the second derivative of -3*i**3 - l*i - 3*i**3 + 89*i wrt i?
-36*i
What is the derivative of 4*x**4 - 163*x**2 + 163*x**2 - 3 wrt x?
16*x**3
Let p(g) be the first derivative of 7*g**2 + 21*g + 12. What is the first derivative of p(n) wrt n?
14
Suppose -5*w = -w. Let o be 6 - w/(0 - -1). Find the third derivative of 2*r**o + 0*r**2 + r**2 - 3*r**6 wrt r.
-120*r**3
Let r(u) be the first derivative of -u**4 - 32*u - 36. What is the first derivative of r(z) wrt z?
-12*z**2
Let d(n) be the first derivative of 2*n**6 - 4*n**3 + 29. Find the third derivative of d(w) wrt w.
720*w**2
Let i = 69 - 69. Let d(h) be the third derivative of 0*h**5 + i - 1/60*h**6 + 1/3*h**3 + 0*h + 0*h**4 - 3*h**2. What is the first derivative of d(q) wrt q?
-6*q**2
Let j = 2 + 3. Suppose 4*a + t = 23, j*a - 5*t = 11 - 1. Find the third derivative of -3*p**5 + 2*p**5 + p**2 + 2*p**a wrt p.
60*p**2
Let u(o) be the third derivative of o**9/3024 + o**6/120 - o**3/3 + 2*o**2. Let f(l) be the first derivative of u(l). Find the third derivative of f(j) wrt j.
60*j**2
Let p be -3*1 + (7 - 0). Find the second derivative of g - 2*g**5 + p*g**5 + g**5 wrt g.
60*g**3
Let j(v) = -6*v**4 - 4*v**3 + 6*v**2 + 4*v + 4. Let r(f) = -f**4 - f**3 + f**2 + f + 1. Let o(s) = 3*j(s) - 12*r(s). Find the third derivative of o(i) wrt i.
-144*i
Let b be -9*1*(-3 - -2). Differentiate b*q**3 - 4*q**3 + 4 - 6 wrt q.
15*q**2
Let a be (-6)/(-9) - 28/(-12). What is the derivative of f - a + 6 + f + f wrt f?
3
Let n(d) be the second derivative of -d**8/6720 - d**6/72 - 5*d**4/6 - d. Let i(o) be the third derivative of n(o). Find the second derivative of i(c) wrt c.
-6*c
Differentiate -8 + 5 - 8*k**3 + 8*k**3 - 31*k**4 with respect to k.
-124*k**3
Let o(d) be the third derivative of 4*d**2 - 1/168*d**8 + 0*d**4 + 1/20*d**5 + 0*d**3 + 0*d**7 + 0*d**6 + 0*d + 0. What is the third derivative of o(n) wrt n?
-120*n**2
Let c = -6 + 9. Let i = 5 - c. Find the third derivative of -l**3 - 2*l**i + l - l wrt l.
-6
Let c(h) = -112*h**3 - 186*h + 14. Let d(j) = -37*j**3 - 62*j + 5. Let s(k) = -5*c(k) + 14*d(k). What is the second derivative of s(f) wrt f?
252*f
Let q be 42/30 + (-2)/5. Let g(a) = -a**3 + a - 1. Let k(c) = -2*c**3 + 6*c - 3. Let b(y) = q*k(y) - 6*g(y). Find the first derivative of b(x) wrt x.
12*x**2
Suppose 41 = 4*m - 3*d, 2*m - 2*d = 5 + 15. Differentiate -s + m*s + s - 2 - 4*s with respect to s.
7
Let j(v) be the first derivative of -v**3/2 - v**2/2 - 2*v - 1. Let y(m) be the first derivative of j(m). What is the derivative of y(c) wrt c?
-3
Let a be -1 - (0 - 2 - 2). Let c be 8/3 + (-4)/(-12). What is the second derivative of o - 7*o**c + 3*o**a - 5*o wrt o?
-24*o
Suppose 2 = v + 2*v - 4*s, -4*v + 2*s = -16. Let d be 2 + 5 + v/(-2). What is the second derivative of -1 + 5*y**d - 4*y**4 - 2*y + 1 wrt y?
12*y**2
Let r be (2 - -7)/3 - 1. Differentiate 4*x**4 + 3*x**4 - 4 + 2 - r wrt x.
28*x**3
Let x(l) be the second derivative of -l**7/2520 + l**6/144 - l**4/4 - 3*l. Let z(c) be the third derivative of x(c). Find the second derivative of z(t) wrt t.
-2
Let u(v) = -v + 8. Let w be u(7). Suppose 4*i - 2*c = 16, -c + 10 = 4*i - 0. Differentiate -t + 2 - w + 5 - i wrt t.
-1
Let d(i) = -i - 1. Let z(f) = -f**2 - 5*f + 3. Let k be z(-6). Let o(j) = j - 2. Let y(a) = k*d(a) + o(a). Find the first derivative of y(u) wrt u.
4
Let p(a) be the second derivative of -2/21*a**7 + 1/3*a**3 + 4*a + 0*a**2 + 0*a**4 + 0*a**6 + 0 + 0*a**5. Find the second derivative of p(c) wrt c.
-80*c**3
Let w = -7 - -11. Suppose -3*u = 3*o, 2*u + 7 - 1 = -5*o. What is the third derivative of t**w + 3*t**u - 3*t**2 - 2*t**2 wrt t?
24*t
Let k be (2/(-5))/((-144)/45). Let i(l) be the third derivative of 2*l**2 + 1/6*l**3 + 0 - k*l**4 + 0*l. Find the first derivative of i(q) wrt q.
-3
Let g = -5 + 9. What is the derivative of 4 + 3*u**4 - 5 + 6 - u**g wrt u?
8*u**3
Let z(f) = -f**3 - 14*f**2 - 13*f + 4. Let l be z(-13). Find the third derivative of 0*m**2 - 3*m**4 + 2*m**l - m**2 wrt m.
-24*m
Let x(l) be the first derivative of l**6/3 - 3*l**2/2 - 2. Find the second derivative of x(p) wrt p.
40*p**3
Suppose 2*u + 3 = -3*m + 23, -u + 8 = m. Find the first derivative of 8 + 3*j**u + 2 - j**4 + j**4 wrt j.
12*j**3
Let m = 1 - -4. Suppose -6 = 2*p - m*p. What is the derivative of -2*x**3 + 2 - 3*x**2 + 3*x**p wrt x?
-6*x**2
Let a(q) = -q. Let s(g) = -20*g**2. Let f(r) = 5*a(r) + s(r). What is the second derivative of f(d) wrt d?
-40
Let l = -7/19 - -61/114. Let d(p) be the second derivative of 0 - l*p**3 + p**2 + 2*p. Differentiate d(w) wrt w.
-1
Let m(j) = j**3 - j**2. Let x(v) = -3*v**4 + 5*v**3 - 7*v**2. Let t be (-63)/(-14) - (-2)/4. Let a(i) = t*m(i) - x(i). Find the third derivative of a(g) wrt g.
72*g
Let n(t) be the second derivative of t**7/210 - 5*t**4/24 + t**3 + 6*t. Let g(c) be the second derivative of n(c). What is the firs