 i(s) = -2*b(s) - 3*x(s). What is the first derivative of i(d) wrt d?
-1
Let m(a) be the second derivative of a**8/3360 - a**6/90 + a**4/12 - 3*a. Let r(s) be the third derivative of m(s). What is the second derivative of r(v) wrt v?
12*v
Differentiate 2 - 12*b + 0*b + 5*b with respect to b.
-7
What is the third derivative of -5*p + 11*p**6 + 5*p + 3*p**2 + 2*p**2 wrt p?
1320*p**3
Suppose 9*w = 4*w + 40. Suppose 6 = -2*z, -3*d - 39 = -7*d + 5*z. Find the third derivative of -3*x**6 - w - x**d + 3*x**2 + 8 wrt x.
-480*x**3
Let y(k) = -k**2. Let a(h) = -h**2 - 9*h**2 - 4 + 9*h**2. Let v(r) = -a(r) - 3*y(r). What is the first derivative of v(w) wrt w?
8*w
Let s(y) be the first derivative of -y**4/4 - 5*y**2/2 - 2*y - 3. Let o(k) be the first derivative of s(k). Find the first derivative of o(p) wrt p.
-6*p
Find the first derivative of 3*j + 6*j + 18 + 8*j wrt j.
17
Suppose -2*n - n = 27. Let l be n/6*(-4)/2. What is the derivative of -2*k**3 + 4*k**3 + l - 7 + 5 wrt k?
6*k**2
What is the third derivative of -8*x**2 + x**4 + 177*x**6 - 182*x**6 - x**4 wrt x?
-600*x**3
What is the derivative of -15*g + 0*g + 15 + 3 + 14 wrt g?
-15
Differentiate 0*u**3 - 5*u**3 - 6 + 3 with respect to u.
-15*u**2
Let h(v) be the first derivative of -v**6/3 - 11*v**4/2 + v**3 + 7*v + 36. Find the third derivative of h(n) wrt n.
-120*n**2 - 132
Let y(z) be the third derivative of -z**8/336 + z**4/8 + 8*z**2. Find the second derivative of y(o) wrt o.
-20*o**3
Let h(a) = -74*a**2 + 65*a. Let o(q) = -49*q**2 + 43*q. Let b(w) = 5*h(w) - 8*o(w). What is the second derivative of b(d) wrt d?
44
Let i(t) = -18 + 17 - 21 - 2*t. Let o(w) = w + 9. Let r = -13 + 1. Let f(g) = r*o(g) - 5*i(g). Differentiate f(b) with respect to b.
-2
Find the second derivative of 11 - 23 - 9*f - 3*f**5 + 12 wrt f.
-60*f**3
Let n(a) = -9*a - 9. Let m(c) = 4*c + 5. Let z(i) = 5*m(i) + 3*n(i). Differentiate z(f) wrt f.
-7
Let y = 13 - 7. Let x(n) = n**5 - 6*n**4 - n**2 - 6. Let o(r) = -r**5 + 7*r**4 + r**2 + 7. Let j(v) = y*o(v) + 7*x(v). Find the third derivative of j(p) wrt p.
60*p**2
Let w(m) = -m**2 + 0*m**2 + 21*m**3 + 4*m**2. Let k(n) = -5*n**3 - n**2. Let y(c) = 9*k(c) + 2*w(c). What is the third derivative of y(u) wrt u?
-18
Let k(l) be the second derivative of 5*l**5/4 + l**4 - 34*l. Find the third derivative of k(p) wrt p.
150
Let s(n) be the second derivative of 0*n**3 + 1/4*n**4 - 1/10*n**5 + 0 + n + 0*n**2. Find the third derivative of s(f) wrt f.
-12
Let u(n) = -6*n + 14. Let f(i) = -4 + 2*i - 3 + 2. Let a(z) = -11*f(z) - 4*u(z). Differentiate a(y) with respect to y.
2
Let x be 0 + (6/(-3) - -5). Find the first derivative of -x*a**3 + 2 - 4 + a**3 wrt a.
-6*a**2
Let p(q) be the third derivative of 0 + 1/105*q**7 + 0*q**3 + 0*q**4 + 0*q**6 + 0*q + q**2 + 1/12*q**5. What is the third derivative of p(x) wrt x?
48*x
Let w be ((-10)/(-18))/(1/3). Let k(f) be the first derivative of 3 + 4/5*f**5 - w*f**3 + 0*f**2 + 0*f + 0*f**4. What is the third derivative of k(d) wrt d?
96*d
Find the first derivative of -2*k**2 - 5 + 8*k**2 - 7*k**2 wrt k.
-2*k
Let k(o) be the first derivative of 0*o - 1 + o**3 + 0*o**2 - 1/4*o**4. Find the third derivative of k(p) wrt p.
-6
Let v = -11 - -13. Find the third derivative of -v*m**2 + 4*m**5 - 32*m + 0*m**2 + 32*m wrt m.
240*m**2
Let t(y) be the third derivative of -73*y**4/24 + y**3/2 - 57*y**2. Differentiate t(k) with respect to k.
-73
Let h(p) be the third derivative of -13*p**6/60 + 17*p**3/2 - 4*p**2 + 4*p. Differentiate h(w) with respect to w.
-78*w**2
Let t(g) be the third derivative of -2*g**7/105 - 11*g**4/8 + 31*g**2. Find the second derivative of t(y) wrt y.
-48*y**2
Let h(z) = 23*z**2 + 9*z. Let s(w) = -12*w**2 - 5*w. Let q(v) = 6*h(v) + 11*s(v). Find the second derivative of q(x) wrt x.
12
Let s = -15 - -18. What is the second derivative of -7*q**s - 5*q + 6*q**3 - 4*q wrt q?
-6*q
Suppose -4*r - 4 = -2*v - 18, 5*r = -3*v - 10. Let b(a) = -a**3 + 4*a**2 + 6*a - 4. Let f be b(5). What is the derivative of -f - r + 4 + 1 + 2*k wrt k?
2
Let d(m) = -19*m**3 + 7*m**2 + 7*m - 17. Let a(w) = 9*w**3 - 3*w**2 - 3*w + 8. Let j(o) = 7*a(o) + 3*d(o). Differentiate j(k) wrt k.
18*k**2
Suppose -5*i + y + 16 = 2*y, 0 = i - 4*y + 1. Differentiate -i - 2*p**3 + 2*p**3 - p**3 with respect to p.
-3*p**2
Let k(u) = -20*u**2 - 15*u + 4. Let s(h) = -39*h**2 - 31*h + 9. Let y(t) = -9*k(t) + 4*s(t). What is the second derivative of y(o) wrt o?
48
Let d(s) = -5*s + 3. Let i(k) be the first derivative of 13*k**2 - 15*k - 1. Let r(x) = 11*d(x) + 2*i(x). What is the derivative of r(g) wrt g?
-3
Find the third derivative of 5*w**2 - 9*w**5 + 3*w**2 - 4*w**2 - w**2 wrt w.
-540*w**2
Let b(l) be the third derivative of 5*l**4/24 - l**3 + 5*l**2. Find the first derivative of b(p) wrt p.
5
Suppose -3*m + m + 8 = 0. Let o(s) = s**3 + 3*s**2 + s + 2. Let q be o(-2). Find the first derivative of 6*w**4 - 2 - 3*w**m - q*w**4 wrt w.
-4*w**3
Let d(f) be the first derivative of 0*f**4 + 2/3*f**3 + 0*f + 0*f**2 + 0*f**6 + 3 + 0*f**5 - 4/7*f**7. What is the third derivative of d(t) wrt t?
-480*t**3
Suppose 4*p = -2*b - 2, -b + 0*b = -4*p - 17. Suppose u = b*u - 4. Find the first derivative of -u - h**2 + 0 - h**2 wrt h.
-4*h
Let f(l) be the second derivative of -5*l**7/21 - l**3/3 - 3*l. What is the second derivative of f(w) wrt w?
-200*w**3
Suppose 5*x - z = -0*x + 174, 2*x = 2*z + 68. Suppose d - r - 35 = 0, 1 = -3*r - 5. What is the second derivative of -3*f**5 + x*f - d*f + f**5 wrt f?
-40*f**3
Let t(u) = u**3 + 3*u**2 - 5*u - 4. Let n be t(-4). Suppose n = -4*m + 5*m - 3. What is the derivative of -7*b**2 + 2 + 6*b**2 - 4*b**m + b**2 wrt b?
-12*b**2
Let c(z) be the third derivative of -z**5/20 + 5*z**4/12 + 8*z**2. What is the second derivative of c(u) wrt u?
-6
Let x = 1 + 1. Find the third derivative of x*y**4 + 3*y**2 + y**2 - 4*y**4 wrt y.
-48*y
Suppose 3*c = -2*m + 38, -m - c + 19 = 2*c. Suppose -3*x + 0*x - 3 = -3*o, m = 5*x + 3*o. Differentiate x*b**2 + 1 + 1 - 3 wrt b.
4*b
Let a = 4 + -2. Differentiate 4*o**2 + o**4 + 2 - 6*o**a + 2*o**2 with respect to o.
4*o**3
Let z be 12/(-84)*(-14)/4. Let k(s) be the first derivative of 3 + z*s**2 + 3*s. Find the first derivative of k(i) wrt i.
1
Let k(t) = 2*t**3 - t**2. Let p be k(2). Let h = -8 + p. Differentiate -2 + 3*s**h - s**4 + 3 wrt s.
8*s**3
Suppose 3*c - 4*r = -9*r + 28, -3*r = -15. Let p(o) = o - 1. Let v(b) = 4*b**2 - 9*b + 4. Let i(n) = c*v(n) + 4*p(n). Find the second derivative of i(g) wrt g.
8
Find the first derivative of -41 - 2*z + z**2 - 10*z**2 + 73 wrt z.
-18*z - 2
Let c(o) = -3*o**2 - 6*o + 5. Let z(w) = 4*w**2 + 5*w - 4. Let i(x) = 5*c(x) + 6*z(x). What is the first derivative of i(j) wrt j?
18*j
Let c be (36/(-15))/(2/(-5)). What is the derivative of -c + 9 + 0*t**3 - 4*t**3 wrt t?
-12*t**2
Let j(c) be the third derivative of -23*c**7/210 + 4*c**4/3 + 39*c**2. Find the second derivative of j(s) wrt s.
-276*s**2
Let a(d) = 23*d**4 + 13*d**2 - 9. Let z(w) = -11*w**4 - 6*w**2 + 4. Let m(g) = -6*a(g) - 13*z(g). Find the first derivative of m(c) wrt c.
20*c**3
Let c(r) be the second derivative of -3*r**4/2 - 8*r**2 + 18*r. Differentiate c(m) wrt m.
-36*m
Suppose 4*n - 4 = p, -7*p - 5 = -2*p - 5*n. Let c be (-1)/2*0/(-1). Differentiate 1 - g**2 + p*g + c*g wrt g.
-2*g
Let i = 10 - 4. Let u be 4/i + 30/9. Let p(x) = -8*x**2 + 1. Let v(y) = 9*y**2 - 2. Let a(q) = u*v(q) + 5*p(q). What is the derivative of a(w) wrt w?
-8*w
Let a(i) be the third derivative of i**3 - 1/70*i**7 + 0*i + 0*i**6 + 0*i**4 + 0 + 0*i**5 - i**2. Differentiate a(w) with respect to w.
-12*w**3
What is the second derivative of 10*k**2 - 12*k**2 - 4 - 3*k**2 + 3*k - 4*k**2 wrt k?
-18
Find the third derivative of 283*g - 37*g**3 + 53*g**2 - 283*g wrt g.
-222
Differentiate -7*w**4 - 2 + 7 - 3*w**4 + 0*w**4 with respect to w.
-40*w**3
Let y(r) = 7*r**2 + 11*r - 52. Let p(f) = -2*f**2 - 4*f + 17. Let o(n) = 11*p(n) + 4*y(n). Differentiate o(a) with respect to a.
12*a
Let c(u) = -11 - 3*u**2 - 4*u**2 + 31*u**3 - 6*u - 30*u**3. Let q be c(8). What is the third derivative of i**2 + 0*i**q + 2*i**2 - 3*i**5 + 0*i**5 wrt i?
-180*i**2
Let h = -277/4 + 70. Let a(p) be the first derivative of 2 + 2*p + 0*p**3 - h*p**4 + 0*p**2. What is the derivative of a(s) w