- 7*c(k). What is the first derivative of p(x) wrt x?
-6*x
Let t(v) be the third derivative of -v**4/12 - 8*v**3/3 + 19*v**2. What is the derivative of t(b) wrt b?
-2
Let s(j) be the third derivative of 0*j - 7/6*j**3 + 7/24*j**4 - 3*j**2 + 0. What is the first derivative of s(y) wrt y?
7
Differentiate 4*k + 4*k - 1 - k - 10*k wrt k.
-3
Let g = -16/5 + 53/15. Let m(k) be the first derivative of k**2 - 1 + 0*k + g*k**3. What is the second derivative of m(d) wrt d?
2
Let r = -9 + 181/20. Let z(n) be the second derivative of 0*n**3 + 0 + 0*n**2 + r*n**5 - 2*n - 1/6*n**4. Find the third derivative of z(m) wrt m.
6
Let t(z) = -19*z**5 - 3*z**4 + 9*z**2 - 4. Let q(f) = -38*f**5 - 7*f**4 + 19*f**2 - 9. Let k(r) = 6*q(r) - 14*t(r). What is the third derivative of k(d) wrt d?
2280*d**2
Differentiate -20 - 155*j**2 + 147*j**2 - 4 with respect to j.
-16*j
Suppose -20 = 2*m - 7*m. Suppose -4 = -m*v + 2*v. Find the second derivative of -5*o**3 + 5*o - 79*o**v + 79*o**2 wrt o.
-30*o
Let r(p) = -p**3 + 4*p**2 - 2*p - 1. Let n be r(2). Let h be 0 + -2 - (-1 - 3). What is the third derivative of q**3 + q**3 - n*q**h + 2*q**2 wrt q?
12
Let n(i) be the first derivative of 0*i**5 + 0*i**4 - 5 + 1/6*i**6 + 2*i**2 + 0*i + 0*i**3. Find the second derivative of n(v) wrt v.
20*v**3
Let d(h) be the third derivative of -1/210*h**7 + 0*h**4 + 0*h**5 + 0*h + 2*h**2 + 0*h**6 + 0 - 1/2*h**3. What is the first derivative of d(t) wrt t?
-4*t**3
Let s(j) = -3*j - 8. Let h be s(-6). Let d = h + -6. Find the second derivative of -o - 17*o**d + 0*o + 20*o**4 wrt o.
36*o**2
Suppose 0 = -w + 6 + 5. Let j = 22 - w. Let z(o) = o - 5. Let m(n) = -2*n + 14. Let q(d) = j*z(d) + 4*m(d). What is the derivative of q(v) wrt v?
3
What is the third derivative of 2*r**2 + 297*r**3 - 6*r**2 - 286*r**3 - 14*r**2 wrt r?
66
Suppose -4*p + 3*r = -24, -r + 1 = -2*p + 11. Let c(i) = 5*i**3 + 3*i - 5. Let z(x) = -4*x**3 - 4*x + 6. Let f(u) = p*z(u) + 4*c(u). Differentiate f(g) wrt g.
24*g**2
Suppose 2*j = -j. Let d(n) be the second derivative of -n**2 - 2*n + j + 1/3*n**3. What is the first derivative of d(s) wrt s?
2
What is the second derivative of 19*i**3 - 3*i**2 + 3*i**2 - 60*i**3 + 7*i wrt i?
-246*i
Let a(v) = 6*v**3 - 4*v**2 - 4*v + 37. Let r(d) = d**3 + d**2 + d - 1. Let g(b) = a(b) + 4*r(b). Find the first derivative of g(t) wrt t.
30*t**2
Let k(g) = -12*g. Let n(o) = o**2 - o. Let m(x) = -k(x) + 5*n(x). What is the second derivative of m(u) wrt u?
10
Find the first derivative of -2 + 4 - 4*i**2 - 3*i**2 - i**2 wrt i.
-16*i
Suppose -5*l = -6*l. Let f(r) be the second derivative of r - 1/12*r**4 + l + 0*r**3 - 1/2*r**2. Differentiate f(m) with respect to m.
-2*m
Let q(d) = d**2 - 10*d + 10. Let l be q(8). Let y = -4 - l. What is the second derivative of -2*m**5 - 4*m + y*m + 4*m**5 wrt m?
40*m**3
Differentiate -5*s**3 + 5*s**3 + 8 + 3*s**3 with respect to s.
9*s**2
Suppose 14 = f + 5*l - 2*l, 4*l = 16. Suppose -3 = 5*h - 3*s, -h + f = 2*h + 2*s. Find the third derivative of 19*r**4 + r**2 + h*r**2 - 15*r**4 wrt r.
96*r
Suppose 8 = 3*a + 2. Suppose -1 = a*s + 5*q, -1 = 3*q + 2. What is the derivative of 5*w**3 + w**3 - s*w**3 + 4 - 3 wrt w?
12*w**2
What is the derivative of 4 - 6 + 0 + 6*i**3 - 2 wrt i?
18*i**2
Let j(n) = -17*n**2 - 2*n - 1. Let i(o) = -85*o**2 - 11*o - 4. Let c(k) = -2*i(k) + 11*j(k). Differentiate c(f) wrt f.
-34*f
Let f(a) = -105*a**3 + 3*a**2 - 5*a - 7. Let g(k) = -53*k**3 + k**2 - 2*k - 4. Let w(b) = 2*f(b) - 5*g(b). What is the third derivative of w(t) wrt t?
330
Let u(y) be the first derivative of y**6/120 + y**4/12 - 5*y**2/2 - 2. Let d(z) be the second derivative of u(z). What is the second derivative of d(g) wrt g?
6*g
Let d(t) = t. Suppose -2*y + 3*y - 1 = 0. Let r(w) = -6*w + 2. Let i(m) = y*r(m) + 4*d(m). Differentiate i(z) with respect to z.
-2
Let h(w) be the second derivative of 0*w**5 - 1/2*w**3 + 0*w**2 + 0 + 0*w**4 + 5*w + 0*w**6 - 1/14*w**7. Find the second derivative of h(a) wrt a.
-60*a**3
Let t be (4/14)/((-4)/(-28)). Let c = 9 + -5. What is the second derivative of -c*w - w**3 - t*w + 4*w wrt w?
-6*w
Let i = 16 - 13. Find the second derivative of 7 - 7 + 4*k**3 - i*k wrt k.
24*k
Let u = 26 + -24. Let c(i) be the first derivative of -u + 0*i**3 - 3/4*i**4 + 2*i**2 + 0*i. Find the second derivative of c(w) wrt w.
-18*w
Let l(z) be the second derivative of 5*z**4/4 - 10*z**3/3 + 13*z. Find the second derivative of l(u) wrt u.
30
Suppose -3*a - 5*g - 35 = 0, -5*a - 3*g = 13 + 40. Let t be ((-4)/a)/(1/5). Find the third derivative of -19*z - z**5 + z**t + 19*z wrt z.
-60*z**2
Let z = 13/14 - 3/7. Let y(b) be the first derivative of -2 + z*b**4 + 0*b**2 - 2/3*b**3 + 0*b. What is the third derivative of y(d) wrt d?
12
Let q(y) be the first derivative of 33*y**4/4 + 6*y**2 + 23. What is the second derivative of q(u) wrt u?
198*u
Let v(f) be the third derivative of f**8/28 + 7*f**4/24 - 8*f**2. What is the second derivative of v(m) wrt m?
240*m**3
What is the second derivative of 1448*o**3 + 7*o - 3*o - 1457*o**3 wrt o?
-54*o
Let c(a) be the second derivative of -2*a**7/105 + 7*a**4/24 + 2*a**2 + 6*a. Let h(d) be the first derivative of c(d). Find the second derivative of h(l) wrt l.
-48*l**2
Let x(r) = -2*r - 10. Let v be x(-8). Let c be (-3 - 0)/((-9)/6). Find the third derivative of p**3 + 6*p**2 + p**c - v*p**2 wrt p.
6
Let k = 15/23 - 277/460. Let y(h) be the second derivative of 0*h**3 - k*h**5 + 0 + 3*h + 0*h**4 + 3/2*h**2. Differentiate y(a) with respect to a.
-3*a**2
Let s(g) be the second derivative of 0*g**3 + 0*g**4 + 1/20*g**5 + 3*g**2 + 0 - 5*g. What is the first derivative of s(h) wrt h?
3*h**2
Let i(b) be the first derivative of 1/3*b**6 + 0*b + 0*b**3 + 2 + 0*b**5 + 1/2*b**2 + 0*b**4. Find the second derivative of i(g) wrt g.
40*g**3
Suppose 2*j - g + 4*g = 19, 8 = -j + 2*g. Find the second derivative of 0*d**2 + j*d**2 + 3*d - 4*d**2 wrt d.
-4
What is the first derivative of 6*b**4 + 17*b**2 - 17*b**2 - 1 wrt b?
24*b**3
Differentiate 43*u**2 + 0 - 1 - 4*u**2 + 16 wrt u.
78*u
Let i be (9/54)/((-10)/(-6)). Let x(h) be the second derivative of -i*h**5 - 2*h + 0*h**3 + 0 + h**2 + 0*h**4. What is the first derivative of x(c) wrt c?
-6*c**2
Let p(h) be the second derivative of -17*h**7/14 + 10*h**4/3 - 3*h + 6. Find the third derivative of p(d) wrt d.
-3060*d**2
Let t(l) = 7*l**4 - 6*l**3 + 10*l. Let j(v) = -14*v**4 + 11*v**3 - 20*v. Let n(c) = -6*j(c) - 11*t(c). Find the second derivative of n(p) wrt p.
84*p**2
Suppose m = -1 + 3. Find the third derivative of -16*c**2 + 5*c**4 + c**4 + 14*c**m wrt c.
144*c
Let l = -4 - -8. Find the second derivative of 0*c**4 + 0*c**l + c + 3*c**5 wrt c.
60*c**3
Let f(t) = -t**2 + t + 1. Let x(p) = p**2 - 5*p - 8. Let y(q) = 15*f(q) + 3*x(q). Differentiate y(d) with respect to d.
-24*d
What is the third derivative of -66*y**2 - 2*y**5 + y**5 + 59*y**2 wrt y?
-60*y**2
Let d(r) = r**3 + r. Let l(q) = 6*q**4 - 6*q**3 - 6*q - 4. Let c(v) = -12*d(v) - 2*l(v). Find the first derivative of c(y) wrt y.
-48*y**3
Differentiate -7 + 1 + 11 + r**2 wrt r.
2*r
Let h(x) be the first derivative of -x**9/504 + x**5/30 - x**2 + 3. Let y(j) be the second derivative of h(j). What is the third derivative of y(v) wrt v?
-120*v**3
Let n(c) be the third derivative of 4*c**2 + 0*c**3 - 2/15*c**5 - 1/3*c**4 + 0 + 0*c. What is the second derivative of n(d) wrt d?
-16
Let s = -14 - -14. Let t(r) be the third derivative of 0*r**5 + 1/3*r**3 - 1/210*r**7 + 0*r + 2*r**2 + 0*r**6 + s + 0*r**4. Differentiate t(z) wrt z.
-4*z**3
Suppose n - 4 = -n + x, -n - 2*x = -7. Find the first derivative of -7*s**n + 0*s**3 + 4*s**3 - 5 wrt s.
-9*s**2
Suppose 5*f - 1 = w, 0 = 5*f + 3*w - 2*w + 1. Suppose -2 = -x - f. Find the first derivative of 2*b - b**4 - 1 - x*b wrt b.
-4*b**3
Let l(t) = t**5 - t**4 + t**3 - t**2 + t. Let z(b) = 2*b**4 - 2*b**3 + 16*b**2 - 2*b. Let j(y) = 2*l(y) + z(y). What is the third derivative of j(h) wrt h?
120*h**2
Let j(g) be the first derivative of g**6/180 + g**4/24 - g**3 + 1. Let z(r) be the third derivative of j(r). Differentiate z(q) wrt q.
4*q
What is the derivative of u - 21 + 4*u - 5*u - 31*u**2 wrt u?
-62*u
Let v(f) = -5*f**5 + 5*f**3 - 11*f. Let m(n) = 3*n**5 - 2*n**3 + 5*n. Let j(c) = 15*m(c) + 6*v(c). What is the se