t**4/2 + 6*t + 6. Let d(u) be the first derivative of b(u). What is the third derivative of d(r) wrt r?
96*r
Let w(a) = a**3 - a**2 - a. Let x(f) = -11*f**4 + 2*f**3 - 2*f**2 - 34*f. Let y(p) = -2*w(p) + x(p). What is the second derivative of y(s) wrt s?
-132*s**2
Suppose -5*r + 0 + 5 = 0. Differentiate -g**4 + r + 6*g**4 - 3*g**4 + 5*g**4 with respect to g.
28*g**3
What is the first derivative of -7*q**3 + q + 6 - q - 3 wrt q?
-21*q**2
Let d(m) = 13*m - 4. Let v(u) = 1 - 4*u - 2*u + u + u. Let y(i) = -4*d(i) - 14*v(i). Differentiate y(a) with respect to a.
4
Let o(i) be the third derivative of 0 - 7*i**2 + 0*i**4 - 1/2*i**3 + 1/12*i**5 + 0*i. Find the first derivative of o(h) wrt h.
10*h
Suppose 0*f + 3*f = 0. Let y = 0 + 2. Find the second derivative of 0 + f + 2*t**2 + y*t wrt t.
4
Let v be 1 - (1 + (-6)/(-3)). Let k be v/6 + (-10)/(-3). What is the second derivative of -3*r**3 - r**3 + r + 3*r**k wrt r?
-6*r
Let a(p) be the first derivative of -19*p**2 - 43*p + 51. Differentiate a(x) with respect to x.
-38
Let b(t) be the first derivative of -1 - 2 - 2*t - t**3 - t. Differentiate b(r) with respect to r.
-6*r
Suppose 0 = 2*g - g - 8. Find the second derivative of 16*w + 4*w**4 - 3*w**4 - g*w wrt w.
12*w**2
Let y(k) be the second derivative of 0*k**5 + 0*k**6 + 0 + k + 0*k**3 + 1/21*k**7 + 0*k**2 + 1/12*k**4. What is the third derivative of y(u) wrt u?
120*u**2
Let t(n) be the first derivative of 2 + 1/2*n**2 - 2*n + 1/3*n**3. Let x(i) be the first derivative of t(i). Differentiate x(p) wrt p.
2
Find the second derivative of -2*z - 2*z - 4*z**4 + 2*z - 6*z wrt z.
-48*z**2
Let a(j) be the second derivative of j**9/504 + j**5/20 + j**2/2 - 3*j. Let v(p) be the first derivative of a(p). What is the third derivative of v(q) wrt q?
120*q**3
Let y be 3*(10/(-6) - -3). Differentiate -43*s + 0 + y + 47*s with respect to s.
4
Let q be (24/9)/(2/3). Suppose -q*m + 40 = 16. What is the third derivative of -v**2 + 2*v**2 - 2*v**m + 2*v**4 - 2*v**4 wrt v?
-240*v**3
Let h(f) = -f**3 - f. Let j(p) = -8*p**3 - 4*p**2 - 6*p. Let r(y) = -6*h(y) + j(y). What is the third derivative of r(l) wrt l?
-12
Suppose 0 = 3*c - 3 - 3. Find the third derivative of 3*k**2 + 0*k**5 - k**2 - 3*k**5 + k**c wrt k.
-180*k**2
Let q(g) = 2*g**3 + 2*g**2 + 3*g - 3. Let k(z) = 5*z**3 + 7*z**2 + 8*z - 8. Let o(a) = 3*k(a) - 8*q(a). Find the third derivative of o(v) wrt v.
-6
Let a(v) = -3 - 5 + v**2 + 0*v**2 - 4*v. Let d be a(6). Find the second derivative of o**4 + 2*o - o**4 + o**d wrt o.
12*o**2
Let n(c) be the first derivative of -c**7/420 - c**6/180 + c**3 - 2. Let q(o) be the third derivative of n(o). Find the third derivative of q(i) wrt i.
-12
Let u(n) be the third derivative of 4*n**2 + 0*n**3 + 0*n**7 + 0*n**4 + 0*n + 1/20*n**5 + 0*n**6 + 1/168*n**8 + 0. Find the third derivative of u(c) wrt c.
120*c**2
Let n(l) = 10*l**2 - 6. Let k(g) be the second derivative of g**4/4 - g**2 + g. Let r(d) = 14*k(d) - 4*n(d). Differentiate r(x) with respect to x.
4*x
Find the first derivative of 15*l**2 + 22 + l**2 - 32 wrt l.
32*l
Let l(j) be the second derivative of j**7/210 - j**3/6 - j**2/2 - 2*j. Let p(g) be the first derivative of l(g). What is the first derivative of p(i) wrt i?
4*i**3
Let y(d) = 25*d**3 + 11*d**2 - 19. Let k(l) = -5*l**3 - 2*l**2 + 4. Let i(g) = 11*k(g) + 2*y(g). What is the derivative of i(x) wrt x?
-15*x**2
Let r(b) be the second derivative of -13*b**5/20 - 17*b**2/2 + 19*b. What is the derivative of r(t) wrt t?
-39*t**2
What is the third derivative of 29*r**3 - 17*r**2 + 11*r**3 - 4*r**3 - 10*r**2 wrt r?
216
Let b(v) be the third derivative of v**6/24 + v**4/4 - 5*v**2. Find the second derivative of b(h) wrt h.
30*h
Let y(l) = -l**3 + l**2 - 3*l + 3*l - 1. Let o(g) = -4*g**3 + 6*g**2 - 5. Let x(n) = o(n) - 5*y(n). Find the third derivative of x(d) wrt d.
6
Let n(s) be the third derivative of 0 - 11/210*s**7 + 0*s + 11*s**2 + 0*s**4 + 0*s**6 + 7/60*s**5 + 0*s**3. Find the third derivative of n(y) wrt y.
-264*y
Find the third derivative of 2*s**6 + 7*s**2 - 14*s**2 + 9*s**2 wrt s.
240*s**3
Suppose 3*q - h + 2*h - 10 = 0, 2*q + 5*h - 24 = 0. Let x be (6 - 3 - q)*2. Differentiate 5 - 3 + x*k**4 - 4*k**4 with respect to k.
-8*k**3
Let g(v) = v**2 - v. Let d = 3 - -1. Let k be d*(-1)/(-2) - 8. Let p(y) = y**2 - 2*y. Let a(u) = k*g(u) + 4*p(u). What is the second derivative of a(w) wrt w?
-4
Let m(a) be the first derivative of -5*a**4/24 + a**3/3 - 2*a**2 - 1. Let j(r) be the second derivative of m(r). What is the derivative of j(v) wrt v?
-5
Let y = 0 - 0. Suppose 0 = -y*s - 4*s + 8. What is the third derivative of 4*p**2 - 6*p**2 + 3*p**s + p**5 wrt p?
60*p**2
Let g(u) be the third derivative of -u**3 + 0*u**5 - 5*u**2 + 0 + 1/30*u**6 + 0*u + 0*u**4. Find the first derivative of g(a) wrt a.
12*a**2
Suppose 2*y + 3*y - 16 = 2*t, -2*t - 2 = 2*y. Let i be (-27)/t*1/3. What is the second derivative of 0*h + 2*h + 2*h**i + 0*h**3 wrt h?
12*h
Let v = 9 - 9. Find the third derivative of 4*w**2 + v*w**2 + w**2 - 3*w**4 wrt w.
-72*w
Find the third derivative of -83*q**2 + 3*q**6 + 4*q**6 + 86*q**2 wrt q.
840*q**3
Suppose 2*z + 14 = 2*g, 0 = -g - 2*z - 0 - 5. What is the second derivative of -c**3 + g*c - 3*c + c wrt c?
-6*c
Suppose 5*m + 2 = 17. Suppose -3*z - 5*n = -37, -m*z - 2 = -3*n + 1. Differentiate 10*q**4 + 3 - 8*q**z - 1 wrt q.
8*q**3
Let m be (-1)/((-4)/(-16)*-2). Let x(g) be the second derivative of 1/2*g**2 + 0 - 1/3*g**3 + m*g. What is the derivative of x(f) wrt f?
-2
Let x = -6 + 14. Find the second derivative of -8*c - 16 + 26 - 10 - x*c**4 wrt c.
-96*c**2
Let i(w) = w**2 + 5*w + 6. Let o be i(-4). What is the second derivative of 3*z - 15*z**o + 11*z**2 + z**2 wrt z?
-6
Let n be 16/6*3/2. Let z(s) = 2*s - 4. Let g be z(n). Find the second derivative of -4*j + 2*j**g - j + 3*j wrt j.
24*j**2
Let d = 3 - 3. Suppose 4*o + d*o = 0. Differentiate -x + o*x - x**4 + 2 + x with respect to x.
-4*x**3
Suppose -3*z = 0, 5*z = v - 2*v + 4. Suppose -i = -1 - 1. Differentiate i*f**2 + v + 1 + 2 - 5 wrt f.
4*f
Let s be -2 - 0 - (1 + -3). Let x(h) be the second derivative of 1/6*h**4 + 1/6*h**3 + s*h**2 - 2*h + 0. Find the second derivative of x(i) wrt i.
4
Suppose 8 = 4*m, 3*m + 21 = 2*x + 49. Let n(u) = -u - 9. Let c be n(x). What is the third derivative of 6*b**2 - 5*b**2 + b**c - 3*b**6 wrt b?
-360*b**3
Let l(b) = b**2 - 2*b + 2. Let u be l(2). Suppose 5*i + 3 = 4*d, -d = -2*d + u*i. Find the third derivative of -a**d + a**5 - 7 + 7 wrt a.
60*a**2
Let h = -24 + 29. Find the third derivative of 5*a**5 - 2*a**h - 11*a**5 - 2*a**2 wrt a.
-480*a**2
Let a = -8 + 6. Let l = a + 5. Find the second derivative of s**4 + s**4 + 4*s**l - 4*s**3 + 2*s wrt s.
24*s**2
Let m be -6*(0 - (1 + 3)). Suppose -3*i = -m + 6. Find the third derivative of -5*j**i + 4*j**6 + j**2 - 5*j**6 + 3*j**6 wrt j.
-360*j**3
Let w(f) = 384*f**2 - 500*f - 32. Let t(p) = -59*p**2 + 77*p + 5. Let y(z) = 32*t(z) + 5*w(z). What is the second derivative of y(c) wrt c?
64
Find the third derivative of 8*r**3 - 13*r**2 + 20*r**2 - 9 + 9 wrt r.
48
Differentiate 2*z**2 + 0*z**2 - 13 - 3*z**2 wrt z.
-2*z
Let j(s) = 9*s**4 - 3*s**2 - 3*s + 3. Let g(w) = w**2 + w. Let k(m) = -3*g(m) - j(m). Differentiate k(o) wrt o.
-36*o**3
Let c(f) = -21*f**3 - 3*f**2 - 3*f + 5. Let z(n) = 64*n**3 + 10*n**2 + 10*n - 16. Let l(d) = -10*c(d) - 3*z(d). Differentiate l(x) wrt x.
54*x**2
Let o(f) = 4*f**3 + 9*f**2 - 1. Suppose 4*k = -19 + 3. Let d(i) = -2*i**3 - 4*i**2. Let p(j) = k*o(j) - 9*d(j). Differentiate p(y) wrt y.
6*y**2
Let s = 7 - 4. Find the first derivative of 2*g**4 - 7*g**4 - 4 - 2*g**3 + 2*g**s wrt g.
-20*g**3
Suppose 3*k = 5 - 2. Find the first derivative of k + 5*i**2 - 4 + 3 + 4 wrt i.
10*i
Let h be (-13)/(-3) - (-2)/(-6). What is the first derivative of 3 - h*r**3 + 6*r**3 + 5*r**3 + 2*r**3 wrt r?
27*r**2
Let z(c) be the third derivative of c**9/3024 + c**6/360 - c**4/6 + 3*c**2. Let d(p) be the second derivative of z(p). Find the second derivative of d(i) wrt i.
60*i**2
Let o(h) be the first derivative of -h**7/840 - h**4/12 + 2*h**3/3 + 2. Let r(v) be the third derivative of o(v). Differentiate r(t) wrt t.
-3*t**2
Let q(b) be the third derivative of 0*b - 2*b**2 + 1/6*b**3 + 0*b**4 - 1/20*b**5 + 0. Find the firs