derivative of 3*b**2 + k + 5*b**2 - 3 - 4*b**2 wrt b?
8*b
Let z(x) = x. Let t(y) = 6*y**2 - 2*y + 4. Let w(c) = 2*t(c) + 4*z(c). Find the first derivative of w(a) wrt a.
24*a
Find the second derivative of -4*j + 17*j**4 - 8*j**4 - j**4 wrt j.
96*j**2
Let t(p) be the second derivative of 3*p**3 - 7*p**2/2 + 8*p. Differentiate t(q) with respect to q.
18
Let i(h) = -h**4 - h**3 + h + 1. Let l(j) = 3*j**4 + 5*j**3 - 5*j - 2. Let o = 3 - 4. Let y(c) = o*l(c) - 5*i(c). Differentiate y(n) wrt n.
8*n**3
Differentiate 5*m**3 - 13*m**3 - 14*m**3 - 37 + 42 with respect to m.
-66*m**2
Differentiate 3*s**2 + 5 - 1 + 3*s**2 - 1 with respect to s.
12*s
Let x(w) be the first derivative of -w**8/1680 + w**5/60 + 2*w**3/3 + 2. Let m(i) be the third derivative of x(i). Find the second derivative of m(a) wrt a.
-12*a**2
Let d(w) = -5*w**4 - 5*w**3 + 5*w**2 + 5*w. Let q(p) = p**4 - p**3 + p**2. Let u(m) = -d(m) + 5*q(m). Find the second derivative of u(z) wrt z.
120*z**2
Suppose 3*v - 15 = -5*d, -2*d + 2 = 2*v - 4. Suppose v*a + 2*a = 3*f, 0 = 3*a - f - 7. What is the second derivative of -3*j**4 + 10*j**3 - 10*j**a - j wrt j?
-36*j**2
Let u(o) = -61*o**3 - 5*o**2 + 6*o - 5. Let r(c) = -31*c**3 - 3*c**2 + 3*c - 3. Let n(b) = -5*r(b) + 3*u(b). Find the second derivative of n(t) wrt t.
-168*t
Let t(d) be the third derivative of 11*d**6/120 + 5*d**4/8 - 6*d**2. Find the second derivative of t(q) wrt q.
66*q
Find the third derivative of -3*s**2 + 24*s**2 - 5*s**3 - 3*s**2 + 23*s**3 wrt s.
108
Let i(c) = 13*c**4 + 7*c**3 + 23. Let v(t) = 6*t**4 + 3*t**3 + 11. Let o(w) = -3*i(w) + 7*v(w). Differentiate o(x) wrt x.
12*x**3
Find the third derivative of 5*g**5 + 0*g**2 + 5*g**2 - g**5 - g**2 wrt g.
240*g**2
Let b(q) be the first derivative of 33*q**5/5 - 37*q - 14. Differentiate b(o) wrt o.
132*o**3
Let q(k) = -6*k + 1. Let r(n) = n + 1. Suppose o + 2*o = 6. Let j(i) = o*r(i) + q(i). What is the first derivative of j(p) wrt p?
-4
Let v(r) = 22*r**3 + 7*r - 7. Let u(z) = 11*z**3 + 3*z - 4. Let x(s) = 7*u(s) - 4*v(s). What is the second derivative of x(m) wrt m?
-66*m
Let k = -2 + 9. Let o = k - 2. What is the second derivative of r**3 + 2*r - o*r - 3*r**3 wrt r?
-12*r
Let o(k) be the second derivative of -k**6/720 + k**5/120 + k**4/3 + 4*k. Let z(r) be the third derivative of o(r). Differentiate z(a) wrt a.
-1
Let u(z) = -z**3 + 6*z**2 + 6*z - 3. Let f be u(6). Find the third derivative of 2*n**2 - 33 + f - 2*n**4 wrt n.
-48*n
Let m(d) = d - 6. Let c be m(6). Suppose c = -a + 6. Differentiate 8*p - 17*p + a*p - 3 wrt p.
-3
Let l(z) = z**3 - 9*z**2 + 7*z + 10. Let g be l(8). Find the second derivative of 3*s**4 - 8*s + g*s - 6*s**4 - 2*s**4 wrt s.
-60*s**2
Let q(b) be the first derivative of -2*b**6/15 + b**4/6 + b - 4. Let x(m) be the first derivative of q(m). Find the third derivative of x(p) wrt p.
-96*p
Let k be 0/(-1)*(-1)/2. Suppose k = 5*t - 0*t. What is the derivative of -a**4 + t*a**4 - 6 + 3 wrt a?
-4*a**3
Find the third derivative of 2*h**2 - 7*h**2 + 6*h**6 - h**2 + h**2 wrt h.
720*h**3
Let v = -4 + 3. Let r(x) = 1. Let l(t) = -6*t**2 - 7. Let u(w) = v*l(w) - 6*r(w). What is the derivative of u(q) wrt q?
12*q
Suppose 6 = 3*o + 3*f, 4*o - 4*f + 32 = 8. Let m be 6 - (-2 - -2 - o). Find the first derivative of 5 + 2 + m*j**4 - 9 wrt j.
16*j**3
Suppose 4*m = 2*m + c + 11, 5*c = -25. Suppose 2*v + m*d + 16 = -2*d, 4*v - 3*d - 20 = 0. Differentiate -3*q**2 + 2 - v + 3 wrt q.
-6*q
Let d be (-8)/10*(-25)/10. Let f(c) = c + 8. Let n be f(-6). Find the third derivative of -2*z**n + 0*z**d + 0*z**2 - 2*z**4 wrt z.
-48*z
Let x(u) be the second derivative of -3*u - 1/2*u**2 + 0 - 1/3*u**3. Differentiate x(r) wrt r.
-2
Let o(k) be the second derivative of k**5/20 - k**4/6 - 7*k. Find the third derivative of o(c) wrt c.
6
Let m(s) = s + 7. Suppose -4*q + q - 15 = 0. Let x be m(q). What is the third derivative of 0*k**2 + 2*k**2 - 3*k**2 - 3*k**3 + 0*k**x wrt k?
-18
Let z be (-2)/(-4)*1*0. Suppose -10 = -z*a - 5*a. Differentiate p**4 + 0*p**4 + a*p**4 - 4 - 2*p**4 with respect to p.
4*p**3
Let j(r) = r**2 + r. Let b be j(-2). What is the second derivative of 3*w - b*w - 2*w**5 + 0*w wrt w?
-40*w**3
Let l(v) = -24*v**3 - 28*v**2 + 7*v - 7. Let n(q) = 8*q**3 + 9*q**2 - 2*q + 2. Let g(o) = 2*l(o) + 7*n(o). Find the third derivative of g(i) wrt i.
48
Suppose 0 = 5*z - 2*l - 7, 0 = 3*z + 5*l + 10 - 39. What is the third derivative of 3*v**3 - v**2 - 8*v**z - 2*v**2 wrt v?
-30
Find the third derivative of f**3 + 256 + 11*f**2 - 256 wrt f.
6
Let y(m) = -m**2 - 2*m + 3. Let a be y(-3). What is the second derivative of -3*u + a*u + 4*u**4 + 2*u - 2*u wrt u?
48*u**2
Let d(r) = r**3 - r**2 + 3. Let n be d(0). Find the first derivative of 6 + n*v**4 - 142*v**2 + 142*v**2 wrt v.
12*v**3
Let b(v) be the third derivative of v**4/6 + 7*v**3/3 - 12*v**2. Find the first derivative of b(m) wrt m.
4
What is the first derivative of -5*w**3 - 8 + 3*w**3 - 2*w**3 wrt w?
-12*w**2
Find the second derivative of i - 4 + 4 - 13*i**5 - 9*i wrt i.
-260*i**3
Let g(z) = -15*z**3 + 7*z**2. Let u = -5 - 6. Let x(i) = 8*i**3 - 4*i**2. Let p(a) = u*x(a) - 6*g(a). Find the third derivative of p(m) wrt m.
12
Let c(p) be the second derivative of -p**7/105 + p**3/6 - p**2 - p. Let h(b) be the first derivative of c(b). Differentiate h(n) wrt n.
-8*n**3
What is the third derivative of -12*x**6 - 7*x**6 + 3*x**6 + 2*x**6 + 8*x**2 wrt x?
-1680*x**3
Let y = 1 - -2. Differentiate 4 + 3*h**3 - 2*h**3 - 2*h**3 - 2*h**y wrt h.
-9*h**2
Find the third derivative of 2*l**3 - 310*l**4 - 19*l**2 - 2*l**3 + 284*l**4 wrt l.
-624*l
Let o(b) = -15*b**2 + 16*b - 2. Let p(f) = -15*f**2 + 16*f - 3. Let k(w) = -3*o(w) + 2*p(w). Find the second derivative of k(h) wrt h.
30
Let w(s) = -s**3 + s + 1. Let u(j) = -8*j**5 + 3*j**3 + 4*j**2 - 3*j - 3. Let n(y) = u(y) + 3*w(y). Find the third derivative of n(m) wrt m.
-480*m**2
Find the third derivative of 8*t**2 + 38*t - t**5 - 73*t + 35*t wrt t.
-60*t**2
Let o(q) = q**3 - 4*q**2 + 2*q - 1. Let k be o(3). Let i be (16/6)/k*-6. Find the second derivative of u + u**4 + 3*u**4 - 2*u**i + 0*u**4 wrt u.
24*u**2
Differentiate -i - i**3 + 4*i + 2*i + 58 + 0*i**3 wrt i.
-3*i**2 + 5
Let x(l) be the first derivative of 3*l**2 - 8 + 11*l**3 - 6*l - 8*l**3 - 3*l**2. Differentiate x(f) with respect to f.
18*f
Let g(t) = 7*t + 2*t + 7 - 5*t - t**2. Let h be g(5). Differentiate 5*u**2 - 5*u**h - 2*u**2 + 1 wrt u.
-4*u
Let g be 7 - (1/1 + 1). Suppose 4*n - g*d - 18 = 19, 8 = -4*n - 4*d. Differentiate -4*t + n*t - 2*t**3 + t + 2 wrt t.
-6*t**2
Let k(t) = 12*t**4 - 6*t**3 - 7*t**2 - 6*t + 6. Let n(p) = p**4 + p**3 + p - 1. Let v(g) = k(g) + 6*n(g). Find the third derivative of v(c) wrt c.
432*c
Suppose -3 - 5 = -4*r. Suppose 0 = -3*s + f + 3*f - 1, -3*s = r*f - 5. What is the second derivative of 9*q**3 + 2*q - 6*q**3 + 1 - s wrt q?
18*q
Let g(n) = -8. Let f(u) = -2. Let i(t) = 18*f(t) - 4*g(t). Let x(w) = -w**3 - w + 11. Let r(k) = 11*i(k) + 4*x(k). What is the second derivative of r(q) wrt q?
-24*q
Let r be 4 + -1 - (-1 - -3). Let o = r - -1. What is the second derivative of o*f + 0*f**3 + f**3 - f - 3*f wrt f?
6*f
Let v(y) = y + 1. Let o(z) = 4*z**2 + z - 1. Let h be o(1). Let g be v(h). Find the second derivative of -g*w**4 + w**4 + 3*w**5 + 4*w**4 - 4*w wrt w.
60*w**3
Let s(f) be the first derivative of -2*f**3/3 - 3*f**2 + 5. Find the second derivative of s(l) wrt l.
-4
Let y(f) be the first derivative of 3*f**2 + 2*f**2 + 5*f + 5*f**2 - 12*f**2 + 5. Differentiate y(u) with respect to u.
-4
Let i(c) be the first derivative of 2 + 1/2*c**4 + 2/3*c**3 + 0*c + 0*c**2. What is the third derivative of i(u) wrt u?
12
Let d = -1 - -2. Find the second derivative of d + 0 - 1 - 3*p - p**2 wrt p.
-2
Let z be 3 - 2/(-6)*-3. Suppose 0 = -d - 4*i - 6, -14 - z = -5*d + 3*i. What is the third derivative of 3*u**5 - u**2 + 0*u**5 + 0*u**d wrt u?
180*u**2
Let j(w) be the first derivative of -w**6/3 + 21*w**5/5 + 53*w**3/3 + 10. What is the third derivative of j(u) wrt u?
-120*u**2 + 504*u
Let v = -2 - -11. Let i = v - 6. What is the second derivative of 3*t - 7*t**3 - t + 11*t**i wrt t?
24*t
Suppose 10 = 2*s + 3*s. Suppose h = 4*m - s*m - 9, 15 = -3*h. What is the second derivative of -z + 0*z - m*z + 2*z**5 wrt z?
40*z