k(t) wrt t.
2
Let p(c) be the first derivative of c**7/420 - c**4/8 - 2*c**3/3 - 4. Let g(d) be the third derivative of p(d). What is the first derivative of g(m) wrt m?
6*m**2
Let u(v) be the second derivative of 43*v**5/20 - v**4/6 + 5*v**3/2 - v**2/2 + 39*v + 2. Find the second derivative of u(o) wrt o.
258*o - 4
Let j be -1*(-1)/1 - 1. Let o = j - -4. Find the second derivative of 4*r - r - r + 2*r**o wrt r.
24*r**2
Let d(a) = 17*a**2 + 7*a - 7. Let q(s) = 16*s**2 + 7*s - 6. Let m(u) = 6*d(u) - 7*q(u). Find the second derivative of m(h) wrt h.
-20
Let n(w) be the first derivative of -9*w**2/2 + 20*w - 2. Differentiate n(k) with respect to k.
-9
Let j(t) be the first derivative of 7*t**4/4 + 11*t - 4. Differentiate j(i) with respect to i.
21*i**2
Let m(d) = d**6 - d**4 - d**2 - 1. Let z(c) = -40*c**6 + 3*c**4 + 5*c**2 + 3. Let s(q) = 3*m(q) + z(q). What is the third derivative of s(u) wrt u?
-4440*u**3
Let k(l) be the first derivative of -l**9/1008 + l**5/40 + l**3 + 1. Let t(z) be the third derivative of k(z). Find the second derivative of t(j) wrt j.
-60*j**3
Let n be (-7)/14 + (6/(-4) - -2). Let r(d) be the second derivative of n*d**3 + 0 + 2*d + d**2 - 1/4*d**4. Differentiate r(o) with respect to o.
-6*o
Let p be 12*-1*(-1)/2. Let n(r) = -7*r**3 - 6*r**2. Let o(q) = 13*q**3 + 12*q**2. Let b(u) = p*o(u) + 11*n(u). What is the third derivative of b(i) wrt i?
6
Let f(u) be the first derivative of -u**5/4 + 2*u**4/3 - 7*u - 8. Let m(y) be the first derivative of f(y). Find the third derivative of m(b) wrt b.
-30
Let a(f) = f**3 + 4*f**2 - 3. Let n be a(-3). Let d = 9 - n. What is the second derivative of 2*m - 4*m**2 + d*m**2 - m**2 + 0*m wrt m?
-4
Let h be 6/12 + (-14)/(-4). Suppose -a = h*a - 55. What is the second derivative of -2*f + 11 - a - 3*f**5 wrt f?
-60*f**3
Let j(g) be the third derivative of -g**4/8 + g**3/2 + g**2. Let w(u) = 2*u - 2. Let b(y) = -6*j(y) - 10*w(y). What is the derivative of b(c) wrt c?
-2
Let q = -4 + 13. Let u be (-12)/q*15/(-2). What is the second derivative of 2*s + 8*s**2 + 3*s**5 - u*s**2 + 2*s**2 wrt s?
60*s**3
Let y(w) = w**2 - w + 1. Let q(n) = 8*n**2 - 2*n + 13. Let p(j) = -3*q(j) + 6*y(j). Differentiate p(t) with respect to t.
-36*t
Let p(z) = 10*z**2 + 5*z + 4. Let v(d) = -10*d**2 - 6*d - 5. Let n(y) = -5*p(y) - 4*v(y). What is the second derivative of n(i) wrt i?
-20
Let h(t) be the third derivative of -t**8/28 + t**4/8 - 3*t**2. What is the second derivative of h(l) wrt l?
-240*l**3
Let q(v) = v**2 + 9*v - 8. Let b be q(-10). Find the second derivative of -2*p - 2*p + 2*p**3 + b*p**3 wrt p.
24*p
Let h(b) = 31*b**3 + 13*b**2 + 13*b + 31. Let l(y) = -15*y**3 - 6*y**2 - 6*y - 15. Let j(u) = 6*h(u) + 13*l(u). What is the derivative of j(s) wrt s?
-27*s**2
Let v(i) = 8*i**3 + 4*i**2 + 4*i + 3. Let n(l) = -17*l**3 - 9*l**2 - 9*l - 7. Let b(y) = -4*n(y) - 9*v(y). What is the derivative of b(k) wrt k?
-12*k**2
Find the first derivative of -4*x**2 + 16*x - 1 - 16*x wrt x.
-8*x
What is the second derivative of -3*z - 14*z + 0*z**3 + z**3 + 0*z**3 wrt z?
6*z
What is the first derivative of 2*j**2 + 13*j - 12*j - 5*j + 16 wrt j?
4*j - 4
Find the second derivative of 13*i - 6*i**2 + 28*i**2 - 12*i**2 - 2 wrt i.
20
Let w(j) = 15*j**3 - 3*j**2 - 5*j + 33. Let g(n) = -16*n**3 + 2*n**2 + 4*n - 33. Let c(q) = -4*g(q) - 3*w(q). Find the second derivative of c(a) wrt a.
114*a + 2
Let n(h) = 2*h**3 - 4*h + 7. Let t(f) = f**3 - 3*f + 7. Let i(x) = -3*n(x) + 4*t(x). What is the derivative of i(b) wrt b?
-6*b**2
What is the third derivative of 17*o**6 - 7*o**6 - 21*o**6 - 3*o**2 wrt o?
-1320*o**3
Let w = 4 + 3. Differentiate 16 + w - 24 - 3*f**3 - f**3 with respect to f.
-12*f**2
Suppose -f = -4*f + 6. Suppose -n = -j - 1, 7*j - 4*j = f*n + 2. What is the second derivative of -2*o**5 + 10*o + o**n - 9*o wrt o?
-20*o**3
Suppose 6*p - p + 7 = -2*w, 0 = -3*w - 4*p. Find the second derivative of -5*f + 0*f + 9*f**4 + 13*f - f**w wrt f.
96*f**2
Let z(r) be the second derivative of 5*r**7/42 - r**3 + 7*r. Find the second derivative of z(x) wrt x.
100*x**3
Let o(q) be the second derivative of -5*q**7/42 - 7*q**3/3 + 10*q. Find the second derivative of o(j) wrt j.
-100*j**3
Let s(i) be the second derivative of -1/30*i**6 + 0*i**5 + 0 + 0*i**2 + 1/4*i**4 + 0*i**3 + i. What is the third derivative of s(z) wrt z?
-24*z
Let h(b) be the third derivative of -5*b**2 + 1/210*b**7 + 0 + 0*b**5 + 0*b - 1/6*b**3 + 0*b**6 + 0*b**4. Differentiate h(q) wrt q.
4*q**3
Let a(o) be the first derivative of 13*o**5/5 - 22*o**3/3 - 1. Find the third derivative of a(t) wrt t.
312*t
What is the derivative of 1 - 4 + 23 + 45*s wrt s?
45
Let b(s) = 4*s**3 - s**2 + 6*s. Let l(d) = -4*d**3 - 5*d. Let v(x) = 5*b(x) + 6*l(x). Find the third derivative of v(j) wrt j.
-24
What is the first derivative of -29 - 199*q**2 + 2*q**4 + 199*q**2 - 9*q**4 wrt q?
-28*q**3
Let z(s) be the second derivative of -13*s**6/6 + 7*s**3 + s + 19. Find the second derivative of z(u) wrt u.
-780*u**2
Let j(x) be the first derivative of -x**7/210 + x**3/2 - 3*x**2/2 - 1. Let y(k) be the second derivative of j(k). What is the derivative of y(v) wrt v?
-4*v**3
Let x(k) be the third derivative of k**8/336 + 5*k**4/24 - 4*k**2. Find the second derivative of x(c) wrt c.
20*c**3
What is the third derivative of -412 - 8*k**2 + 412 - 15*k**5 wrt k?
-900*k**2
Let w be (-12)/(-20) - 12/(-5). Let q = 3 + w. What is the second derivative of -q*p + p + 4*p + 2*p**4 wrt p?
24*p**2
Let d(u) be the second derivative of 1/21*u**7 - 2*u + 0*u**6 + 0 + 0*u**3 + 0*u**2 - 1/12*u**4 + 0*u**5. What is the third derivative of d(k) wrt k?
120*k**2
Suppose 0 = -4*d + 12, -3*t = -t + 3*d - 13. Let u(h) = -h - 1. Let j be u(-1). What is the derivative of 0 - t + 3*p**4 + j wrt p?
12*p**3
Let h(b) = 55*b**4 + 9*b**3 + 9*b + 77. Let k(i) = -14*i**4 - 2*i**3 - 2*i - 19. Let n(q) = -2*h(q) - 9*k(q). What is the derivative of n(x) wrt x?
64*x**3
Suppose x - 10 = -3*b + b, -4*x + b = -22. Suppose 4*t - x = 2. Differentiate -r - r + 0*r + t with respect to r.
-2
Let j(q) = q**3 - 2*q**2 - 5*q + 3. Let g be j(3). Let p be 3/(g/(-2))*2. Differentiate 11 - x**4 - 7 + p*x**4 wrt x.
12*x**3
Find the third derivative of -228*m**4 + m**2 + 228*m**4 - 11*m**6 wrt m.
-1320*m**3
Let c(a) be the first derivative of -7*a**4/4 - 11*a - 13. Differentiate c(b) with respect to b.
-21*b**2
Let a be 1/2*-6 + 8. Find the third derivative of l**a - l**2 + l**5 - l**2 wrt l.
120*l**2
Find the second derivative of -3 - 2 + 5 + 4*a + 7*a**4 wrt a.
84*a**2
What is the second derivative of 2*q + 2*q**4 - 3*q**4 - 2*q - 5*q wrt q?
-12*q**2
Let s(b) be the second derivative of -b**8/336 + b**5/12 + 3*b**2/2 + 2*b. Let o(x) be the first derivative of s(x). Find the third derivative of o(l) wrt l.
-60*l**2
Let d(r) be the third derivative of -23*r**7/210 + 3*r**3 - r**2. Differentiate d(j) with respect to j.
-92*j**3
Suppose -2*q + 1 = -5. What is the first derivative of -q*n + 28 - 33 - 4*n wrt n?
-7
Let a(p) be the first derivative of 0*p**3 + 0*p - 1/2*p**2 - 7 + 2*p**4. What is the second derivative of a(y) wrt y?
48*y
Let v(t) be the first derivative of 0*t + t**2 + 0*t**4 - 4/5*t**5 - 1 + 0*t**3. Find the second derivative of v(p) wrt p.
-48*p**2
Let n be ((-6)/4)/(12/(-16)). Let h(z) = z**2 + 6*z + 7. Let r be h(-5). What is the third derivative of 5*y**2 - r*y**n + 3*y**3 - y**3 wrt y?
12
Let f(p) be the third derivative of p**5/60 + 5*p**4/24 + p**3/2 - p**2. Let q be f(-5). What is the derivative of -q + 0 + 4 + 2*d**2 wrt d?
4*d
Let x(d) = d**3 - 5*d**2 + 4*d. Let g be x(4). What is the second derivative of 4*a**5 - 3*a - a**5 + g*a**5 wrt a?
60*a**3
Let i(c) = c**3 + 2*c**2 + 7*c + 2. Let j(x) = 2*x**3 + 3*x**2 + 8*x + 3. Let q(t) = 3*i(t) - 2*j(t). Find the second derivative of q(v) wrt v.
-6*v
Let s be 1/7 - 100/(-35). What is the first derivative of -f**4 - 2 - s*f**4 + 7 wrt f?
-16*f**3
Let f(u) = -2*u - 7. Let n be f(-8). Suppose n = 2*d + 1. What is the second derivative of 0*s**4 + s - 2*s + 2*s**d wrt s?
24*s**2
Let f(w) be the first derivative of 0*w**4 - 5 + 0*w + 1/2*w**2 + 6/5*w**5 + 0*w**3. What is the second derivative of f(m) wrt m?
72*m**2
Let u(r) be the second derivative of -r**8/3360 + r**7/630 - r**4/2 - 5*r.