 Differentiate a(b) wrt b.
-1
Differentiate 14*d**4 + 11*d**4 + 10 + 13 - 2 wrt d.
100*d**3
Let a(b) = -19*b**3 - 16*b**2 - 3*b. Let g(f) = 18*f**3 + 17*f**2 + 2*f. Let z(p) = 2*a(p) + 3*g(p). Find the third derivative of z(v) wrt v.
96
Let t = 5 - 7. Let x(l) = 5*l + 2. Let g(o) = -10*o - 3. Let n(f) = t*g(f) - 5*x(f). Differentiate n(d) wrt d.
-5
Let c(v) be the third derivative of v**6/20 - v**4/3 - 5*v**2. What is the second derivative of c(b) wrt b?
36*b
Let v(k) = k**2 - 10*k. Let a be v(10). Differentiate -5*p**3 + 3 + 3*p**3 + a*p**3 wrt p.
-6*p**2
Let i be -7 - (3 - (-1 - -2)). Let x = -15 - i. Let a(b) = -b. Let c(m) = 4*m - 1. Let v(o) = x*a(o) - c(o). What is the first derivative of v(n) wrt n?
2
Suppose -4*h + 9 = 1. Let f = h + 1. What is the second derivative of -f*x + 0*x**4 + x - x**4 wrt x?
-12*x**2
What is the derivative of 0 - 2*d**4 + 2*d**4 - 2*d**4 + 8 wrt d?
-8*d**3
Let o(w) be the second derivative of w**4/12 + 9*w**2/2 + 25*w. Differentiate o(s) wrt s.
2*s
Let h = -3 + 5. What is the derivative of 3*m + 1 + 3*m - 6*m - h*m wrt m?
-2
Suppose -u = 2, 2*g = -3*u + 69 - 5. Find the second derivative of -4*r - 35 + g - 2*r**3 wrt r.
-12*r
Suppose -2*m + 0*m = -6. Suppose -2*w + 9 = m. What is the derivative of w*d - 5 - 4*d + 1 + 1 wrt d?
-1
Let k(u) be the first derivative of u**2/2 + u + 2. Let v be k(-1). Find the third derivative of 0 + l**3 + v + l**2 wrt l.
6
Suppose 3*i + 2*t = 19, -3*i + 4*t - 11 = -0*i. Suppose -i*p - 2 = -4*p. Find the third derivative of -r**2 + 2*r**2 + r**p + 2*r**5 wrt r.
120*r**2
Let k(g) be the third derivative of 8*g**7/105 - 7*g**4/12 + 32*g**2. Find the second derivative of k(i) wrt i.
192*i**2
Let a(r) be the second derivative of 11*r**7/42 - 5*r**3/6 - 22*r. Find the second derivative of a(l) wrt l.
220*l**3
Let q(b) be the third derivative of b**5/30 - 7*b**3/3 + 16*b**2. Differentiate q(z) with respect to z.
4*z
Let h(v) be the first derivative of 37*v**4/4 - 56*v + 45. Differentiate h(b) wrt b.
111*b**2
Find the third derivative of -m - 2*m**2 + 13*m**6 + m - 25*m**6 wrt m.
-1440*m**3
Let l(j) be the first derivative of 7*j**4/2 + 2*j**2 + 1. Find the second derivative of l(u) wrt u.
84*u
Let b(i) be the first derivative of -7*i**6/3 - 4*i**3 - 16. Find the third derivative of b(m) wrt m.
-840*m**2
Let v(l) = 5*l + l**2 - 2 + 0*l**2 - 2*l**2. Let m be v(4). Find the third derivative of 8*a**3 - a**2 - 7*a**3 - a**m wrt a.
6
Let r(j) be the first derivative of -4*j**7/7 + 2*j**3/3 + 2. Find the third derivative of r(g) wrt g.
-480*g**3
Suppose 2*h = -0*g - 4*g, -3*g = 2*h. Let p(m) = -1 + 0 - m + h. Let l(d) = 8*d + 8. Let r(u) = l(u) + 6*p(u). What is the derivative of r(o) wrt o?
2
Let n(s) be the third derivative of s**6/20 + s**3 + 5*s**2. Differentiate n(h) with respect to h.
18*h**2
Let k(j) = -5*j - 2. Suppose 6 + 6 = -4*a. Let o(b) = b. Let r = 5 + -6. Let w(u) = a*o(u) + r*k(u). What is the first derivative of w(y) wrt y?
2
Let f(b) = -b + 12. Let r be f(6). What is the third derivative of 0*v**5 - 5*v**2 - 3*v**5 - r*v**5 wrt v?
-540*v**2
Let a(p) be the first derivative of -p**4 + 5*p**3/3 + 1. Find the third derivative of a(z) wrt z.
-24
Let t be ((-1)/(-2))/((-3)/(-12)). Find the third derivative of -h**t - 3*h**3 + 3*h**3 - 2*h**3 wrt h.
-12
Let w(r) = r - 2. Let g be w(6). Differentiate 5 - g - 5*m + m with respect to m.
-4
Find the third derivative of 2*m**5 + 105*m**2 - 39*m**3 + 70*m**2 - 143*m**2 wrt m.
120*m**2 - 234
Let a(t) be the second derivative of 0 + 0*t**5 - 3*t + 0*t**4 + 0*t**6 + 0*t**2 - 1/6*t**3 - 2/21*t**7. Find the second derivative of a(v) wrt v.
-80*v**3
Let w(x) = -3*x - 9. Let a be w(-4). What is the third derivative of a*z**6 + 3*z**2 + 39*z - 39*z wrt z?
360*z**3
Let z(x) be the second derivative of 3*x**8/14 + x**7/42 + 25*x**4/12 - 2*x. Find the third derivative of z(u) wrt u.
1440*u**3 + 60*u**2
Let n be 0 + 1 + (-36)/(-9). What is the third derivative of -5*c**5 + 2*c**n + 0*c**2 + 4*c**5 + 2*c**2 wrt c?
60*c**2
Suppose 0*s + 4*s - 8 = 0. Let k(i) be the first derivative of 1 - 3 - 2*i**s + i - 1. Differentiate k(y) with respect to y.
-4
What is the third derivative of -18*r**2 + 4*r**2 - 2*r**5 - 12*r**5 wrt r?
-840*r**2
Let h(p) = -p**3 - 3*p**2 + 1. Let t be h(-3). Let v be -3 + 3 + 2*t. Find the second derivative of 4*j**v - j - 4*j**2 + 2*j**2 wrt j.
4
Let c(y) be the second derivative of 0*y**4 - 1/20*y**5 + 0 - 2*y - 1/6*y**3 + 0*y**2. Find the second derivative of c(x) wrt x.
-6*x
Let b be (-22)/26 + (-10)/65. Let q be (-1 + b - -8) + -1. What is the second derivative of 4*o - q*o**3 - o + 7*o**3 wrt o?
12*o
Differentiate -5 + 4*y**4 + 21 - 2*y**4 - 5*y**4 wrt y.
-12*y**3
Let x(f) be the second derivative of 0 + 0*f**6 + 5/6*f**3 + 0*f**4 + 0*f**5 + 1/7*f**7 + 8*f + 0*f**2. What is the second derivative of x(y) wrt y?
120*y**3
Let r(s) = 9*s**3 - 15*s**2 + 12*s. Let v(p) = -p**2. Let w(d) = r(d) - 15*v(d). What is the second derivative of w(t) wrt t?
54*t
Let a(c) = 98*c**3 + 5*c**2 - 15*c + 5. Let q(n) = 49*n**3 + 2*n**2 - 7*n + 2. Let b(t) = 2*a(t) - 5*q(t). What is the second derivative of b(x) wrt x?
-294*x
Let z(x) = 3*x - 3. Let s(i) = -i + 1. Suppose -4*j + 5*n = 33, -2*n + 18 = -2*j - 2*j. Let g(y) = j*z(y) - 9*s(y). Find the first derivative of g(q) wrt q.
3
Let a(x) be the first derivative of -4*x**7/7 + 4*x**3/3 - 1. Find the third derivative of a(t) wrt t.
-480*t**3
Let t(j) be the first derivative of -41*j**2/2 + 17*j - 47. What is the derivative of t(h) wrt h?
-41
What is the first derivative of 4*v + v + 3*v + 5 - 2*v wrt v?
6
Let u(l) be the second derivative of 0*l**5 + 0*l**4 - 1/6*l**3 - 1/14*l**7 + 0*l**6 + 0*l**2 + 2*l + 0. What is the second derivative of u(g) wrt g?
-60*g**3
Let f(s) = -2*s - 2. Let a = -1 + -1. Let p be f(a). Differentiate 15*c - 15*c - 2*c**3 + p wrt c.
-6*c**2
Let x = -23 - -25. Differentiate 2 - 88*p**2 + 78*p**x + 4 wrt p.
-20*p
Let p(q) be the third derivative of 0*q - 3/20*q**5 - 1/15*q**6 + 0*q**3 + 0 + 0*q**4 - q**2. Find the third derivative of p(j) wrt j.
-48
Let c(w) be the first derivative of -w**6/90 + w**5/120 + 2*w**3 - 1. Let i(d) be the third derivative of c(d). Find the second derivative of i(a) wrt a.
-8
Differentiate -5 - 13 - 5 + 29*f**2 with respect to f.
58*f
Let t(b) = b**3 - 5*b**2 + 6*b - 6. Let x be t(4). Let p be -1*(1 + 1) - -4. What is the derivative of -p*j**2 + 3*j**4 + x*j**2 + 4 wrt j?
12*j**3
Let w(p) = 7*p + 4. Let m(x) = 4*x + 4. Let c(t) = 1. Let a(y) = -2*c(y) + m(y). Let s(d) = 11*a(d) - 6*w(d). What is the first derivative of s(h) wrt h?
2
Let i = 0 - -2. Suppose -5*m = -4*m - 3. Find the third derivative of -2*y**i - 4*y**6 + 5*y**6 + m*y**2 - 3*y**2 wrt y.
120*y**3
What is the first derivative of -9 - 1 + 14*l**3 + 1 - 4 wrt l?
42*l**2
Let r be (1/3)/(3/162). What is the second derivative of 2*f**5 + 12*f - f**5 - r*f wrt f?
20*f**3
Let z be (-2)/(3 + 11/(-3)). What is the third derivative of -3*p**5 + 1 + z*p**2 - 1 + 0 wrt p?
-180*p**2
Let s(h) be the second derivative of h**4/2 - h**2/2 - 4*h. Differentiate s(d) with respect to d.
12*d
Let y(i) = -1. Let k(s) = s**2 - 6. Let n(f) = k(f) - 5*y(f). What is the first derivative of n(c) wrt c?
2*c
Let d(n) be the second derivative of -2*n**7/105 - n**5/15 - n**2 - 2*n. Let x(a) be the first derivative of d(a). What is the third derivative of x(s) wrt s?
-96*s
What is the third derivative of 36*i**2 + 25*i**3 - 25*i**3 - 12*i**4 wrt i?
-288*i
What is the third derivative of -67*b**2 - 16*b**6 + 136*b**2 - 79*b**2 wrt b?
-1920*b**3
Let w(p) = 9*p + 12. Let v(b) = -5 - 9*b + b - 10 + 4. Let d(j) = -3*v(j) - 2*w(j). Find the first derivative of d(r) wrt r.
6
What is the third derivative of -3*k**2 + 5*k**2 - 8*k**5 + 0*k**2 - 3*k**2 wrt k?
-480*k**2
Let o = -12 + 8. Let j(u) = -u**2 + 4*u + 4. Let z(h) = h**2 - 4*h - 5. Let i(y) = o*z(y) - 5*j(y). What is the second derivative of i(c) wrt c?
2
Let f(g) = -g - 3. Let a = 0 - 3. Let l be f(a). Differentiate 0*v**3 + 0 + l*v**3 + 4 + v**4 with respect to v.
4*v**3
Let v(k) be the first derivative of -k**7/210 - k**4/12 + 3*k**2/2 - 2. Let m(u) be the second derivative of v(u). What is the second derivative of m(w) wrt w?
-12*w**2
Let h(v) be the second 