
-4
Differentiate 2 + 2 - 2 - 3*c**2 + 11*c**2 with respect to c.
16*c
Let a(g) = g + 8. Let k(p) = p + 15. Let s(j) = 11*a(j) - 6*k(j). Let l(o) = -4*o + 2. Let r(t) = 6*l(t) + 5*s(t). What is the first derivative of r(m) wrt m?
1
Let t(q) = -9*q + 9*q + q**2. Let r(j) = j**2 - j + j + 3*j**4. Let k(f) = r(f) - 5*t(f). What is the third derivative of k(b) wrt b?
72*b
Let u(b) be the first derivative of -b**4/4 + 4*b**3/3 - 10. What is the third derivative of u(p) wrt p?
-6
Find the third derivative of 4 + 6*i**2 - 4*i**2 + i**5 - 4 wrt i.
60*i**2
Find the first derivative of 16 + 62*f**3 - 35*f**4 - 62*f**3 + 22 wrt f.
-140*f**3
Find the second derivative of 5*q + 2*q**4 - 4*q**4 - 3*q**5 + 2*q**4 wrt q.
-60*q**3
Suppose -2 = -3*m + 4. Find the second derivative of 3*a - 2*a - 5*a - 8*a**m - a wrt a.
-16
Let d(l) = 2*l**2 + 2*l + 2. Let n be d(-2). Suppose 3 = 3*j, -5*j + 3*j + n = g. What is the derivative of -3 + 2*x**3 - 3 + g wrt x?
6*x**2
Find the third derivative of -91*w**6 + 96*w**6 + 3*w**2 + 26*w**2 wrt w.
600*w**3
Find the second derivative of -2*m**5 + 25*m + 6*m**5 - m + 5*m**5 wrt m.
180*m**3
Suppose 0*z = -5*z + 15. Let d be 28/(-21)*z/(-2). Differentiate -d + 1 - v + 3*v wrt v.
2
Differentiate 24*g**2 - 10 + 1 - 4 with respect to g.
48*g
Let d be 0 + -11 + 3*-1. Let x be (-52)/d - (-8)/28. Find the third derivative of -q**x + 0*q**4 + 4*q**2 - 8*q**2 wrt q.
-24*q
Let p(j) be the first derivative of -13*j**6/3 + 9*j**2/2 - 24. What is the second derivative of p(a) wrt a?
-520*a**3
Let f(h) = 69*h**2 + 71*h + 3. Let l(c) = -23*c**2 - 24*c - 1. Let i(p) = 6*f(p) + 17*l(p). Find the second derivative of i(k) wrt k.
46
Let z(m) be the third derivative of -7*m**4/24 - m**3 + 6*m**2. What is the first derivative of z(j) wrt j?
-7
Let t be (-6)/24 + 2/8. Suppose -3*w + 4*l + 15 = 2*l, t = 2*w + 5*l - 10. What is the derivative of w - 3 + k + k wrt k?
2
Suppose -1 + 5 = i. What is the first derivative of -4*v**3 + 3*v**3 - 1 + 3*v**3 - i*v**3 wrt v?
-6*v**2
Let i be -1 - (-2 - 1/1). Suppose i*s + 3*s - 15 = 0. What is the second derivative of -s*b - 4 + 4 + b - b**3 wrt b?
-6*b
Let n(k) = -12*k**3 - 10. Let p(q) = -13*q**3 - 10. Let f(h) = 4*n(h) - 5*p(h). What is the derivative of f(m) wrt m?
51*m**2
Let j(z) = -z**3 - 3*z**2 - 3*z. Let y = 2 - 4. Let u be j(y). What is the second derivative of 2*x**4 + 2*x**5 + u*x - 2*x**4 wrt x?
40*x**3
Let q(k) = -74*k**2 - 11*k + 57. Let m(r) = 25*r**2 + 4*r - 19. Let g(n) = -11*m(n) - 4*q(n). Find the first derivative of g(h) wrt h.
42*h
Suppose b = 3*s - 8, 4*b - 1 - 1 = -5*s. What is the third derivative of 0*g**s - 5*g**2 - g**6 + 2*g**2 wrt g?
-120*g**3
What is the first derivative of 15*p - 12 - 55 + 22 wrt p?
15
Let d(z) = z**3 - 2*z**2 - 3. Let l(c) = -2*c**3 + c**2 + 4. Let u be (3/(-5))/(2/(-10)). Let q(g) = u*l(g) + 4*d(g). Find the third derivative of q(t) wrt t.
-12
Suppose -2*s + 2 = -5*c - 0*c, 3*c + 22 = -4*s. Let m be 13/3 - c/(-6). Find the third derivative of -3*n**2 + 4*n**6 + 2*n**2 + m*n**2 wrt n.
480*n**3
Let l(p) be the third derivative of p**8/84 - p**5/12 - 6*p**2. What is the third derivative of l(t) wrt t?
240*t**2
Suppose 5*l = -0*l + m + 15, 0 = -3*l - 2*m + 9. Suppose 0 = 4*w - 11 + l. What is the third derivative of -v**2 + v**5 - 2*v**5 - v**w wrt v?
-60*v**2
Suppose 3*p - 25 = -2*p. Let u = 9 - p. What is the second derivative of -2*f**u + f + f - 3*f wrt f?
-24*f**2
Let i(j) = -6*j + 4. Let t(f) = -1. Let s(z) = -i(z) - 3*t(z). Find the first derivative of s(o) wrt o.
6
Let l(r) be the first derivative of 2*r**4 - 2*r**3 + 9. What is the third derivative of l(f) wrt f?
48
Let q(f) be the first derivative of -6*f + 2 - 5/2*f**2. Differentiate q(k) with respect to k.
-5
Suppose -b + 0 + 2 = 0. Let p(d) = -d**3 + 5*d**2 - 4*d + 3. Let a be p(4). Find the third derivative of 12*t - t**2 - 12*t - b*t**a wrt t.
-12
Let a = 26 + -19. What is the second derivative of a*u - 8*u + 9*u**5 + 8*u - 3*u**5 wrt u?
120*u**3
Let a = 5/2 + -13/6. Let d(q) be the second derivative of 0*q**2 + 0 - a*q**3 + 1/12*q**4 + 2*q. Find the second derivative of d(s) wrt s.
2
Let t(l) = 11*l**2 - 17*l + 20. Let a(c) be the first derivative of -4*c**3/3 + 3*c**2 - 7*c - 2. Let w(q) = 17*a(q) + 6*t(q). Differentiate w(b) wrt b.
-4*b
Let p(c) be the first derivative of -38*c**5/5 + 16*c**3/3 + c**2/2 - 17. What is the third derivative of p(g) wrt g?
-912*g
Let o(s) be the first derivative of s**5/5 - s - 1. What is the derivative of o(v) wrt v?
4*v**3
Let g(y) be the third derivative of 7*y**6/30 - 2*y**4/3 + 14*y**2. Find the second derivative of g(u) wrt u.
168*u
Suppose 2 = 2*s + 4*f - 2, -5*f - 22 = -2*s. Find the second derivative of -2*k**2 - s*k + 3*k**2 + 3*k**3 - k**2 wrt k.
18*k
Let v(x) be the second derivative of 13*x**5/20 + 5*x**4/6 + 8*x. What is the third derivative of v(k) wrt k?
78
Let g(h) be the first derivative of -h**4/12 - 2*h**3/3 + 3*h**2/2 + 2. Let u(y) be the second derivative of g(y). Find the first derivative of u(t) wrt t.
-2
Let c be (-2)/(-5) - 8/(-5). What is the second derivative of -3*n + 6*n - 4*n**2 + 0*n**2 - 2*n**c wrt n?
-12
Let d be 0/(-2) + 3 + 1. Differentiate 1 - 4 - 2*c**d + 5*c**4 + 0*c**4 with respect to c.
12*c**3
Find the first derivative of 4*t**2 - 8*t**2 + 15*t - 15*t + 6 wrt t.
-8*t
Let i(l) = 7*l**4 - 3*l**3 + 3*l**2 - 10. Let m(a) = -8*a**4 + 4*a**3 - 4*a**2 + 11. Let n(c) = 4*i(c) + 3*m(c). Differentiate n(g) with respect to g.
16*g**3
Let u(y) be the first derivative of -1/7*y**7 + 0*y**2 - 2/3*y**3 + 0*y**6 + 0*y**5 - 2 + 0*y + 0*y**4. Find the third derivative of u(o) wrt o.
-120*o**3
Suppose -2*h - 6 = -4*h. Let i be 2 + h/((-3)/2). Find the third derivative of l**2 + i + l**3 + 0 wrt l.
6
Let s(d) = -2*d + 3. Let c(f) = f. Let w(p) = -6*c(p) - 2*s(p). What is the derivative of w(u) wrt u?
-2
Suppose 0 = 9*o - 9 - 0. Let i(s) be the first derivative of 0*s + 2*s**2 + o - 3/5*s**5 + 0*s**3 + 0*s**4. What is the second derivative of i(g) wrt g?
-36*g**2
Let u(d) = 25*d**3 + 21*d + 7. Let a(s) = -13*s**3 - 10*s - 4. Let t(g) = -7*a(g) - 4*u(g). Find the second derivative of t(k) wrt k.
-54*k
Let z(t) be the second derivative of 7*t**6/30 + t**4/6 - 34*t**2 - 46*t. Differentiate z(c) with respect to c.
28*c**3 + 4*c
Let r(k) = 2*k**2 - 5*k - 5. Let l(c) = c**3 + c**2 - c - 1. Let s be 2 - (-1 + 3) - -5. Let z(w) = s*l(w) - r(w). Find the third derivative of z(p) wrt p.
30
Let m = 8 - -10. Suppose 3*i - m = -3*v, 4*i - 20 = 5*v - i. Differentiate -1 + 3*j**2 - v + 2 + 3 with respect to j.
6*j
Let g(y) = -4*y - 4. Let i(z) = -1. Let x(u) = 2*g(u) - 14*i(u). What is the derivative of x(v) wrt v?
-8
Let o(d) be the third derivative of d**8/10080 + d**6/240 + d**5/15 + 4*d**2. Let z(s) be the third derivative of o(s). What is the derivative of z(c) wrt c?
4*c
Let n(w) be the second derivative of w**5/12 + 2*w**3/3 + 7*w**2/2 + 8*w. Let v(h) be the first derivative of n(h). Differentiate v(g) wrt g.
10*g
Suppose -t - 2*t + 10 = u, -3*u + 12 = 0. Let n(b) = b**2 + 7*b + 9. Let p be n(-6). What is the second derivative of -t*j - 2*j**p + 0*j + j - j wrt j?
-12*j
Let j(k) be the second derivative of k**9/7560 + k**6/360 - k**4/12 - k. Let q(p) be the third derivative of j(p). What is the second derivative of q(l) wrt l?
24*l**2
Let q be (4/(-14))/(4/(-28)). Suppose 2*o + a = 5, 3*o - 4*a + 0 = 24. Differentiate -q*j**4 - 2*j**4 - 3*j**4 + 3*j**4 + o wrt j.
-16*j**3
Let i(s) be the third derivative of 5*s**4/24 + 3*s**3/2 + 9*s**2. What is the first derivative of i(b) wrt b?
5
Suppose 4*x + 6 = 5*x. Let c(t) be the third derivative of 0*t**4 + 0*t**5 + 0*t - 1/3*t**3 - 2*t**2 + 0 - 1/120*t**x. Differentiate c(s) wrt s.
-3*s**2
Let a(s) = 3*s**2 + 1. Let y be a(1). What is the third derivative of -5*k**6 + 4*k**y - 4*k**4 + 3*k**2 wrt k?
-600*k**3
Let t(u) be the second derivative of -u**8/84 + u**4/8 + 2*u**2 + 4*u. Let o(i) be the first derivative of t(i). Find the second derivative of o(j) wrt j.
-80*j**3
Let j be (-4)/(-7)*(-7)/(-2). Differentiate -4*s**2 - s**2 + 3 + 3*s**2 - j wrt s.
-4*s
Let n(p) be the first derivative of -3/4*p**4 - 1 - p**3 + 0*p + 0*p**2. What is the third derivative of n(s) wrt s?
-18
Let k(p) be the first derivative