at is the derivative of f(l) wrt l?
-2
Let t be (-8)/((-1)/(3/6)). Find the first derivative of -3 - 3*a + 5 - t wrt a.
-3
Let c(t) = 4*t**3 - 6*t**2 - 6*t - 8. Let l = -1 + -4. Let f(n) = -3*n**3 + 5*n**2 + 5*n + 7. Let h(w) = l*c(w) - 6*f(w). What is the derivative of h(y) wrt y?
-6*y**2
Let a(y) be the third derivative of 0*y**4 + 1/12*y**5 + 0 + 1/3*y**3 + 4*y**2 + 0*y. What is the first derivative of a(o) wrt o?
10*o
Let g(p) be the second derivative of -p**8/8 - 11*p**4/12 + 3*p. Find the third derivative of g(l) wrt l.
-840*l**3
Suppose 5*j + 15 = 5*p - p, j = -4*p + 21. What is the derivative of -b**2 + 2 - p*b + 5*b wrt b?
-2*b
Let w(c) be the first derivative of -4*c**4 + c**3/3 - 1. Find the third derivative of w(m) wrt m.
-96
Let s(a) be the first derivative of -7*a**2/2 + 11*a + 7. What is the first derivative of s(r) wrt r?
-7
Let x(d) be the first derivative of 5*d**2 + 7*d + 3. What is the derivative of x(s) wrt s?
10
Suppose 4*o - 14 - 6 = 0. Find the second derivative of -7 + 7 + 3*c**o + c wrt c.
60*c**3
Let z = -2 - -6. What is the derivative of 2*n**z - 6 + 3 - n + n wrt n?
8*n**3
Let i = -5 + 5. Suppose -c - 4*h = i, -5*c - 5*h + 2*h = -34. What is the second derivative of -s - c + 8 - 2*s**4 - s**4 wrt s?
-36*s**2
Find the third derivative of -2*j**6 + 14*j**2 + 3*j**5 - 1382*j + 1382*j wrt j.
-240*j**3 + 180*j**2
Let m(z) = 7*z**3 + 10*z**2 + 6*z + 6. Let x(y) = -13*y**3 - 19*y**2 - 11*y - 11. Let f(o) = -11*m(o) - 6*x(o). Find the third derivative of f(k) wrt k.
6
Let u(q) = -q - 1. Let s(y) = 14*y - 12. Let n(j) = -s(j) + 10*u(j). Find the first derivative of n(p) wrt p.
-24
Let r(z) be the second derivative of -3/2*z**2 - 1/10*z**6 + 0 + 0*z**4 + 3*z + 0*z**5 + 0*z**3. What is the derivative of r(a) wrt a?
-12*a**3
Let a = 9 - 6. What is the third derivative of x**3 + 7*x**3 - 2*x**2 + 3*x**2 - 3*x**a wrt x?
30
Let g = 9 + -6. What is the third derivative of 3*l**6 + 3*l**6 - l**6 + g*l**2 wrt l?
600*l**3
Let g(m) = 5*m**3 - 9*m**2 - 123*m + 115. Let o(c) = c**3 - 2*c**2 - 31*c + 29. Let f(r) = 2*g(r) - 9*o(r). Find the first derivative of f(l) wrt l.
3*l**2 + 33
Let h(w) = 14*w - 2. Let f(y) = -14*y + 3. Let n(v) = 5*f(v) + 6*h(v). What is the first derivative of n(q) wrt q?
14
Let g(a) be the third derivative of a**6/20 - a**5/30 + 27*a**2. Find the third derivative of g(x) wrt x.
36
Let d = -3 - -5. What is the second derivative of -7*a - 4*a**5 + 4*a + d*a**5 + 4*a**5 wrt a?
40*a**3
What is the second derivative of -3*r + 7*r + 31*r**3 + 3*r - 9*r**3 wrt r?
132*r
Let c(x) = -x**3 + 3*x**2 + 3*x - 2. Let j(q) = q**2 + q - 1. Suppose 4*y + 3 = -1. Let d(k) = y*c(k) + 3*j(k). Find the first derivative of d(u) wrt u.
3*u**2
Let h(j) be the second derivative of j**6/10 + j**3 - 9*j. Find the second derivative of h(r) wrt r.
36*r**2
Let j = 3 - 3. Let y be (j - 2*-1)/1. Find the second derivative of 0*t**4 + y*t**4 + t - 3*t wrt t.
24*t**2
Let o(w) be the first derivative of -7*w**5/5 - 2*w**2 + 9. What is the second derivative of o(y) wrt y?
-84*y**2
Let m be 2*(-9)/6 - -40. Find the second derivative of -m*r**2 + 37*r**2 - 4*r**4 - 2*r wrt r.
-48*r**2
Let y(v) be the first derivative of -16*v**7/7 + v**3 + 7. What is the third derivative of y(w) wrt w?
-1920*w**3
Let o(q) = -2*q**5 - 4*q**4 + 4*q**2 - 6*q. Let a(t) = t**5 + 5*t**4 - 5*t**2 + 7*t. Let j(y) = 4*a(y) + 5*o(y). Find the second derivative of j(b) wrt b.
-120*b**3
Let w(d) = 3*d**2 - 5*d**3 + 2*d**2 - 2*d**2 - d. Let m(g) = -26*g**3 + 16*g**2 - 6*g. Let l(v) = 3*m(v) - 16*w(v). Find the second derivative of l(s) wrt s.
12*s
Let o(m) be the second derivative of m**8/112 - m**5/30 - m**2 + 2*m. Let n(l) be the first derivative of o(l). Find the third derivative of n(r) wrt r.
180*r**2
Let l(j) be the second derivative of 0*j**5 + 0*j**2 + 0 + 0*j**3 + 0*j**6 + 0*j**7 - 3/56*j**8 + 3*j - 1/12*j**4. Find the third derivative of l(y) wrt y.
-360*y**3
Let b = -8 + 10. Suppose -4 = n + 2*h, -3*n + 0*h + 15 = -3*h. What is the second derivative of -b*p + 3*p**n + 0*p**2 - 2*p**2 wrt p?
2
What is the first derivative of -4*g + 4*g + 0*g + 10 + 12*g**3 wrt g?
36*g**2
Let j(d) = -23*d**3 - 4*d**2 + 4*d - 16. Let o(z) = -68*z**3 - 11*z**2 + 11*z - 48. Let f(g) = -11*j(g) + 4*o(g). What is the first derivative of f(y) wrt y?
-57*y**2
Let u(s) = -3*s**6 - 6*s**2 + 4. Let y(h) = h**6 - 1. Let a(k) = -u(k) - 4*y(k). Find the third derivative of a(i) wrt i.
-120*i**3
Let n(o) be the first derivative of -o**4/2 + 3*o**3 - 2. Find the third derivative of n(q) wrt q.
-12
Let l(o) be the first derivative of o**4/12 - o**3/3 + 2*o**2 + 1. Let y(t) be the second derivative of l(t). What is the derivative of y(s) wrt s?
2
Let p = 4 - 4. Let n be (-3)/(-9)*p - -5. Find the first derivative of -2 + 3*l**4 - l**4 - n*l**4 wrt l.
-12*l**3
Suppose -2*y - x + 0*x + 3 = 0, -y = -x - 6. Differentiate 2*w**3 - 5*w**3 - 2 + 6*w**3 + w**y wrt w.
12*w**2
Let u(d) be the second derivative of 4*d**6/15 + 3*d**3/2 + d. Find the second derivative of u(q) wrt q.
96*q**2
Suppose -4*t + t = -15. Find the third derivative of s**t - s**5 + s**2 - 5*s**5 wrt s.
-300*s**2
Suppose 3*d = -2*d + 25. Let o(k) = -k**2 + k. Let t(p) = 9*p**2 - 5*p + 2. Let f(y) = d*o(y) + t(y). What is the derivative of f(h) wrt h?
8*h
Let j(n) = 6*n + 13. Let p(s) = -6*s - 12. Let t(v) = 5*j(v) + 6*p(v). Find the first derivative of t(c) wrt c.
-6
Let d(f) be the first derivative of -32*f**5/5 - 4*f + 16. What is the first derivative of d(h) wrt h?
-128*h**3
What is the third derivative of -5*u**4 - 9*u**2 - 2*u**4 - 2*u**4 wrt u?
-216*u
Let p = 1 + 1. Let y be (p - (2 + -1)) + 1. Find the third derivative of -2*b**3 - 5*b**y + 0*b**2 + 5*b**3 + 4*b**2 wrt b.
18
Let j(x) = -10*x**3 + 12*x**2 + 5*x. Let n(o) = -4 + 5 + 18*o**2 - 1 - 15*o**3 + 7*o. Let s(t) = 7*j(t) - 5*n(t). Find the third derivative of s(g) wrt g.
30
Suppose -24 = -3*t - 5*n, 4 - 7 = t - 2*n. Suppose 10 = 5*q + h, -8*q = -3*q - h - 10. Differentiate 2 + 3*x**2 + q*x**3 - t*x**2 + 0 wrt x.
6*x**2
Let l(t) = t + 10. Let a be l(-7). What is the second derivative of 3*u**5 + 21 - 21 + a*u - 5*u wrt u?
60*u**3
Suppose -5*y + 19 + 6 = 0. What is the second derivative of 4*f + 3*f**y - f**5 + f**5 - 7*f wrt f?
60*f**3
Let n = 24 + 2. Differentiate -n + x + x + 20 with respect to x.
2
Let h(j) be the third derivative of 5*j**5/12 - j**4/12 - 11*j**3/6 + 59*j**2. What is the second derivative of h(f) wrt f?
50
Let b(s) = s**3 - 16*s**2 + 15*s + 7. Let v be b(15). What is the derivative of -v + 4*l**4 - 5*l + 5*l wrt l?
16*l**3
Let z(m) be the first derivative of -m**7/105 + m**5/20 - m**2/2 - 3. Let k(l) be the second derivative of z(l). Find the third derivative of k(r) wrt r.
-48*r
Let t = 6 - 4. Suppose s + 15 = 2*y - 0*s, 5*y - 5*s - 30 = 0. Find the third derivative of c**5 - 4*c**t - 3 - 6 + y wrt c.
60*c**2
Let c be (-2)/(-8) + (-11)/(-4). Suppose t = 2*t - c. What is the first derivative of -3 - 2*d**4 + t - 1 wrt d?
-8*d**3
Let p(a) = -25*a**2 + 11*a - 26. Let x(s) = 5*s**2 - 2*s + 5. Let l(m) = -2*p(m) - 11*x(m). What is the first derivative of l(w) wrt w?
-10*w
What is the second derivative of 29*r + 5*r - 5*r - 7*r**3 wrt r?
-42*r
Suppose 2*a - 52 = -5*s, -17 = 4*s + a - 61. Suppose f + 3*o = 10, 0*o = 2*f + 2*o - s. Differentiate -2*m**2 - 2*m**f + 2*m**2 - 1 with respect to m.
-8*m**3
Let i(s) = -38*s**5 - 7*s**3 + 33*s. Let m(y) = 19*y**5 + 3*y**3 - 16*y. Let r(q) = 3*i(q) + 7*m(q). What is the second derivative of r(v) wrt v?
380*v**3
Suppose -2*t - 6 = -g, -6*t - 8 = -3*g - 5*t. Suppose 0*u - 2*u = -4. What is the first derivative of -3 + 6 + 0 + g*f**u wrt f?
4*f
Suppose b + 5*x - 15 = 0, 2*x = -2*b - 3*b + 29. Find the second derivative of 0*o**b - 11*o - 2*o**5 + 3*o wrt o.
-40*o**3
Suppose p + 4*b = 8 - 0, -2*p = 4*b - 12. Find the second derivative of 11 + x**p - 11 + x wrt x.
12*x**2
Suppose 4*k = -4*w - 4, 0*w - 5*w - 3*k = -1. What is the second derivative of 3*x - 4*x**2 - x**5 - 4*x + 4*x**w wrt x?
-20*x**3
Let u(t) be the second derivative of -t**4/6 + 3*t**3/2 + 7*t. Find the second derivative of u(r) wrt r.
-4
Differentiate -12*u**2 + 2*u + 8*u**2 - 17 + 14*u**2 wrt u.
20*u + 2
Let v(p) be the second derivative of -p**5/4 + p**4/12