a.
-60
Let u(m) = 3*m**2 + 3*m + 9. Let o(a) = -a**3 - 5*a**2 - 5*a - 18. Let h(x) = -3*o(x) - 5*u(x). What is the derivative of h(z) wrt z?
9*z**2
Let s(c) = c**2 - 6*c + 2. Let i be s(6). Find the first derivative of i - 7 + 2 + 2*k**4 + k**4 wrt k.
12*k**3
Let q(p) be the second derivative of 1/10*p**5 + 0 - 2*p + 1/3*p**4 + 0*p**2 + 0*p**3. What is the third derivative of q(x) wrt x?
12
Let p(q) be the third derivative of 0 - q**2 + 0*q + 0*q**6 + 1/6*q**3 + 0*q**5 + 0*q**4 + 1/210*q**7. Differentiate p(v) wrt v.
4*v**3
Let l(w) be the second derivative of -3*w**6/10 - 11*w**3/3 + 12*w. What is the second derivative of l(n) wrt n?
-108*n**2
Let i = 2 + -1. Let u be (0 + 1)/((-2)/(-6)). Differentiate -i - t**4 + u*t - 3*t wrt t.
-4*t**3
Let w(g) = -2*g**3 + 2*g**2. Let q be w(2). Let y be q/(-28) + (-110)/(-7). What is the second derivative of -y - 2*m - 3*m**3 - m + 16 wrt m?
-18*m
Let x(y) be the third derivative of y**6/60 + y**4/4 + 8*y**2. Find the second derivative of x(a) wrt a.
12*a
Let g(v) be the third derivative of -v**7/15 + 5*v**4/12 + 21*v**2. What is the second derivative of g(u) wrt u?
-168*u**2
Let o(h) be the third derivative of 0 + 0*h - 1/6*h**3 + 1/120*h**6 + 0*h**5 + 3*h**2 + 0*h**4. What is the first derivative of o(r) wrt r?
3*r**2
Let a(m) be the first derivative of -12*m**5/5 - 8*m**3/3 - 12. What is the third derivative of a(o) wrt o?
-288*o
Let j(u) = u**2 - 4*u - 3. Let c be j(5). What is the first derivative of -3*p**2 + 2 - p**2 + 0 + c*p**2 wrt p?
-4*p
What is the third derivative of -9*a - 9*a**2 + 19*a - 10*a + 17*a**3 wrt a?
102
Let p = -3 + -4. Let f(g) = 10*g**3 - 7*g**2 + 7*g - 2. Let u(b) = 5*b**3 - 3*b**2 + 3*b - 1. Let w(n) = p*u(n) + 3*f(n). What is the derivative of w(x) wrt x?
-15*x**2
Let g(a) be the first derivative of -38*a**5/5 + 2*a**3 - 9*a + 16. Find the third derivative of g(k) wrt k.
-912*k
Let s(y) = y**2 - y - 2. Let q be s(3). What is the second derivative of 2*p - p + 2*p**3 + p**q - 2*p**3 wrt p?
12*p**2
Find the second derivative of 264*i**2 - 137*i**2 - 15*i - 129*i**2 + 2 + 24*i**4 wrt i.
288*i**2 - 4
Let d(g) be the second derivative of g**7/2520 - g**6/720 + g**4/12 + g. Let o(q) be the third derivative of d(q). What is the second derivative of o(l) wrt l?
2
Suppose -12 = 3*b - 0, -4*b - 32 = -4*i. Find the second derivative of -6*k - k - k**4 + k - k**i wrt k.
-24*k**2
Let q(o) = -16*o + 26. Let r(m) = 8*m - 13. Let z(u) = -4*q(u) - 7*r(u). Find the first derivative of z(l) wrt l.
8
Let l(o) = -o**3 + 1. Let w be l(1). Let z(c) be the second derivative of w*c**4 - 1/30*c**6 - c**2 + 0*c**3 + 0 + 2*c + 0*c**5. Differentiate z(m) wrt m.
-4*m**3
What is the third derivative of 6*x**2 - 5*x**6 + 4*x**2 + 0*x**6 wrt x?
-600*x**3
Let i = 11 + -9. Find the third derivative of 0*c**4 - 3*c**2 - c**i + 4*c**4 wrt c.
96*c
Let p(x) be the first derivative of 0*x**3 - 2*x**2 - 1/5*x**5 - 2 + 0*x**4 + 0*x. Find the second derivative of p(s) wrt s.
-12*s**2
Let h(x) = -2*x**3 - 2*x**2 - 1. Suppose 3*t = -l + 10, 5*l - t + 8 + 6 = 0. Let s be h(l). What is the third derivative of 2*f**2 - 2*f**5 - s*f + 7*f wrt f?
-120*f**2
Let t(m) = 12*m**4 - 8*m**3 + 8*m**2 + 3*m. Let c(n) = -4*n**4 + 3*n**3 - 3*n**2 - n. Let x(u) = -8*c(u) - 3*t(u). What is the second derivative of x(z) wrt z?
-48*z**2
Let c(j) = j + j**3 - j**2 + 0*j**2 + 0*j**2 + 1. Let z(u) = 4*u**3 - 6*u**2 + 6*u + 8. Let s(i) = 6*c(i) - z(i). Differentiate s(l) wrt l.
6*l**2
What is the first derivative of -y + 3 - 1 - 1 - 6*y wrt y?
-7
Let c = -1 + 5. Suppose 3*z + 1 = 2*g - 1, -3*g + 20 = c*z. What is the first derivative of g - 2*m + m - 2 wrt m?
-1
Suppose 5*g - 19 = 4*u, 0*g - 3*g = -2*u - 11. What is the first derivative of -6*i**4 + 3*i**g - 3*i**3 + 31 - 24 wrt i?
-24*i**3
Let o(f) be the second derivative of 2*f**5 + 31*f**2 + f - 3. Find the first derivative of o(d) wrt d.
120*d**2
Let g(c) be the first derivative of -4 - 2/3*c**3 - 1/5*c**5 + 0*c**4 + 0*c**2 + 0*c. What is the third derivative of g(i) wrt i?
-24*i
Let j be (11 + -3)*1/2. What is the first derivative of -6 + 3*r**4 - 3*r**j + 2 + 2*r**4 wrt r?
8*r**3
Let g(s) be the first derivative of s**5 - 3*s + 6. Differentiate g(q) wrt q.
20*q**3
Let g(v) = 20*v**4 + 5*v**3 + 6*v**2. Let h(k) = 19*k**4 + 4*k**3 + 5*k**2. Let b(n) = 4*g(n) - 5*h(n). What is the third derivative of b(j) wrt j?
-360*j
Let z(f) = -2*f**3 + f**2 + 8. Let r(q) = -3*q**3 + 3 + 2*q**3 - 4*q**3 + 4*q**3. Let c(v) = 8*r(v) - 3*z(v). Find the third derivative of c(y) wrt y.
-12
Let l(n) = 48*n**3 + 7*n**2 + 59*n + 7. Let z(g) = 24*g**3 + 3*g**2 + 30*g + 3. Let a(d) = 3*l(d) - 7*z(d). What is the second derivative of a(w) wrt w?
-144*w
Suppose 5*l + 0*l = 2*v + 33, -5*l = 5*v - 5. Find the third derivative of -5*x**5 + 4*x**l - 2*x**2 + x**2 wrt x.
-60*x**2
Let m(v) = -v**3 - 9*v**2 - 4*v - 13. Let h be m(-9). Find the third derivative of -32*d**5 + 7*d**2 + d**2 + h*d**5 wrt d.
-540*d**2
Let v(c) be the second derivative of -11*c**5/5 + 13*c**4/12 + 53*c. Find the third derivative of v(x) wrt x.
-264
Let l be (-9)/6*(2 + -4). Differentiate -5*r**3 - l + 0 - 3 + 4 with respect to r.
-15*r**2
Let a be (-4)/(-16)*-2*0. Let i(p) be the third derivative of 0*p + 3*p**2 + 1/6*p**3 - 1/20*p**5 + 0 + a*p**4. Differentiate i(t) with respect to t.
-6*t
Let f(q) = -5*q**3 + 3*q**2 + 11*q + 3. Let h(t) = 10*t**3 - 5*t**2 - 21*t - 5. Let w(k) = -5*f(k) - 3*h(k). What is the second derivative of w(s) wrt s?
-30*s
Let o(q) be the first derivative of q**4/4 + 5*q**3/3 + 5*q**2/2 + 2*q + 2. Let y be o(-3). What is the second derivative of 3*n + 2*n - 4*n - n**y wrt n?
-20*n**3
Let b(t) = -6*t**3 - 3*t**2 - 3*t - 2. Let x(a) = -6*a**3 - 2*a**2 - 2*a - 2. Let k(d) = -2*b(d) + 3*x(d). Differentiate k(o) wrt o.
-18*o**2
Let t(x) be the second derivative of 0 + 0*x**2 + x + 0*x**3 - 1/4*x**4 + 0*x**5 - 1/15*x**6. What is the third derivative of t(u) wrt u?
-48*u
Let u = -2 - -3. Let p = 4 - u. Differentiate -2*k**3 - 1 + 0*k**p + 4*k**3 wrt k.
6*k**2
Let u(h) = -h**2 + h + 1. Let m(q) = 3*q**3 + 36*q**2 - 33*q - 33. Let x(g) = -2*m(g) - 66*u(g). What is the third derivative of x(p) wrt p?
-36
Let t = 2 + -1. Suppose 0 = -6*l + 2*l + z + 21, l - 5*z - 29 = 0. Differentiate -t - o**2 + l*o**2 - 4*o**2 wrt o.
-2*o
Let h(v) be the second derivative of v**6/3 + 3*v**4/4 - 13*v. Find the third derivative of h(n) wrt n.
240*n
Let j(f) be the first derivative of -8*f**3/3 + 2*f**2 - 5. What is the second derivative of j(o) wrt o?
-16
Let d(b) = 2*b**4 + 3*b**3 - 3*b - 1. Let k(g) = -g**3 + g + 1. Let t(l) = -d(l) - 3*k(l). Find the first derivative of t(m) wrt m.
-8*m**3
Let a(d) = -d**2 - 7*d + 3. Let s be a(-6). Differentiate -3 - 18*w**3 + 13*w**3 + s*w**3 with respect to w.
12*w**2
Let p be 12/9 - 4/(-6). What is the third derivative of 0*z**2 - 2*z**4 + 2*z**4 - z**p - z**6 wrt z?
-120*z**3
Let v(g) = -g. Let f be v(4). Let z be (-3)/(14/f - -3). Differentiate 6*y - z*y + 2 - 3*y**3 wrt y.
-9*y**2
Suppose 5*c - 5 = -q, 0 = 2*q + 2*q + 2*c - 20. Let j = q - 3. What is the second derivative of -j*r**3 + 4 - 4 + r wrt r?
-12*r
Let j(a) = -7*a**3 + 2*a**2 + a. Let k be j(-1). Suppose -4*s + 12 = -k. What is the third derivative of -4*h**5 + 4*h**2 + h**5 + 7*h**s wrt h?
240*h**2
Let n(a) be the first derivative of -55*a**7/7 - 4*a**3/3 - 16. Find the third derivative of n(v) wrt v.
-6600*v**3
What is the derivative of 5 + 14*z**2 - 37*z**2 + 30*z**2 + 15*z**2 wrt z?
44*z
What is the second derivative of 356*l**4 + 0*l**3 - 22*l - 360*l**4 - 2*l**3 wrt l?
-48*l**2 - 12*l
Let y(k) be the second derivative of 41*k**5/20 + 21*k**2/2 + 3*k. What is the derivative of y(t) wrt t?
123*t**2
Let j(c) = -c**2 - 2. Let d(u) = 2*u + 4 - 2*u + 3*u**2. Let y = 9 - 7. Let q(n) = y*d(n) + 5*j(n). Differentiate q(x) wrt x.
2*x
Let u = -1 + -6. Let h = -5 - u. What is the first derivative of -h*x**2 + 3 + 0 - 2 + 2 wrt x?
-4*x
Let u(d) = 2*d**3 - 4*d**2 + 4*d - 2. Let g be (5 + 1)*2/6. Let c be u(g). Find the third derivative of 17 - z**2 - 3*z**c - 17 wrt z.
-360*z**3
Let v(c) be the third derivative of -3*c**8/112 + c**5/5 - 13*c**2. Find the third derivative of v(j) wrt j.
-540*j**2
Suppose 2*i + 3*z - 2 = 0, -2*i + 10 = -0*i + z. Find