i) wrt i.
12
What is the third derivative of -9*k**2 + 3*k**3 + 6*k**2 + 4*k**3 wrt k?
42
Let c(w) be the second derivative of 0*w**4 + 0*w**3 + 0 + 9/20*w**5 + 4*w**2 - 7*w. What is the first derivative of c(i) wrt i?
27*i**2
Let p(q) = 19*q**2 + 13*q + 9. Let v(g) = 9*g**2 + 6*g + 4. Let b(a) = -6*p(a) + 13*v(a). Differentiate b(m) with respect to m.
6*m
Let u(a) be the first derivative of -26*a**5/5 + a + 21. Find the first derivative of u(b) wrt b.
-104*b**3
Differentiate -8*z**2 + 11*z**2 + 22 + 6 wrt z.
6*z
Let q(r) = r**2 + 4*r - 7. Let t be q(-6). Suppose 6 = -2*g + t*g. What is the third derivative of 5*x**5 + 0*x**5 - 3*x**2 - g*x**5 wrt x?
180*x**2
Let u = -31 - -33. Let c be (-20)/(-6) + 1/(-3). Find the second derivative of -5*i**2 + c*i**2 + i**u - 4*i wrt i.
-2
Let d(f) be the first derivative of 2*f**7/21 - 5*f**4/12 + 6*f + 3. Let p(n) be the first derivative of d(n). What is the third derivative of p(k) wrt k?
240*k**2
Let u(c) be the first derivative of 37*c**5/5 - 37*c - 7. Differentiate u(k) wrt k.
148*k**3
Let u(x) = -x**3 + 6*x**2 + 8*x. Let s be u(7). Find the second derivative of -4*b + 4*b + s*b**4 - 7*b wrt b.
84*b**2
Let c(b) be the second derivative of -b**6/120 - b**4/3 - b**3/3 + 6*b. Let h(v) be the second derivative of c(v). What is the derivative of h(f) wrt f?
-6*f
Let l(i) be the first derivative of i**10/1680 + i**6/120 + i**3/3 - 4. Let d(q) be the third derivative of l(q). Find the third derivative of d(o) wrt o.
360*o**3
Let z(c) = 2*c**2 + 3*c - 1. Let q be z(-3). Find the third derivative of -4*x**4 - 6*x**2 + q*x**4 - 2*x + 2*x wrt x.
96*x
Let l(d) = 49*d**4 + 2*d**3 + 24*d + 2. Let a(p) = -p**4 + p**3. Let h(y) = -2*a(y) + l(y). What is the second derivative of h(k) wrt k?
612*k**2
Let x(a) = 13*a**3 + 6*a**2 + 6*a - 48. Let o(j) = 27*j**3 + 11*j**2 + 11*j - 95. Let t(i) = 6*o(i) - 11*x(i). What is the derivative of t(g) wrt g?
57*g**2
Let b(p) be the third derivative of p**4/6 + p**3/3 - 27*p**2. Differentiate b(s) with respect to s.
4
Suppose 2*g + 1 = 3*g, -4*u - g + 9 = 0. Differentiate -5 - 1 + 1 + 1 + u*t wrt t.
2
Let o(l) be the second derivative of -l**5/60 + l**4/6 - l**3/3 - 2*l. Let g(p) be the second derivative of o(p). Find the first derivative of g(x) wrt x.
-2
Let u(f) be the first derivative of -4*f**7/7 + 9*f**5/5 - 13*f**3/3 - 21. What is the third derivative of u(q) wrt q?
-480*q**3 + 216*q
Suppose a = -4*z - 16, -3*z = 2*a - 3*a + 12. Suppose a = -2*h + 3*h - 3. What is the derivative of h*k**3 + 2*k**3 - 3*k**3 - 4 wrt k?
6*k**2
Let g be 5/(-2)*16/(-20). Let x(z) = z**3 - 8*z**2 + 7*z. Let o be x(7). Find the first derivative of 2*s**3 + 4*s**2 - 4*s**2 + 1 + o*s**g wrt s.
6*s**2
Suppose 5*l - 2*n - 25 = 0, 3*l + 2*n - 4*n = 19. Find the third derivative of -2*d**2 + 12*d - 3*d**2 + d**l - 12*d wrt d.
6
Let s(i) be the first derivative of 1 - 2/3*i**3 + 0*i + 0*i**4 + 0*i**2 + 3/5*i**5. Find the third derivative of s(n) wrt n.
72*n
Suppose -4 = -4*a + 4. Differentiate 4*o + 0 + 2 - 4*o - a*o**4 with respect to o.
-8*o**3
Let n(d) be the third derivative of -17*d**8/336 - d**4/12 - 33*d**2. Find the second derivative of n(v) wrt v.
-340*v**3
Let m(w) = 3*w + 7 - 3*w - w. Let f be m(5). Find the third derivative of 3*n + n**6 - f*n**6 + n**2 - 3*n wrt n.
-120*n**3
Let o(n) be the first derivative of -3*n**2/2 + 23*n + 1. What is the derivative of o(g) wrt g?
-3
Let c(a) = -23*a + 28. Let y(h) = -h - 1. Let s(o) = c(o) + 6*y(o). Differentiate s(m) with respect to m.
-29
Let l(k) be the third derivative of 0*k**4 - 3*k**2 + 0*k + 0 - 1/30*k**5 + 1/3*k**3. Find the first derivative of l(h) wrt h.
-4*h
Let h(g) be the third derivative of g**8/3360 + g**5/120 - g**4/12 - 2*g**2. Let y(r) be the second derivative of h(r). What is the derivative of y(q) wrt q?
6*q**2
Let w(f) be the second derivative of -f**10/1680 + f**6/90 - f**3/6 + 3*f. Let m(y) be the second derivative of w(y). Find the third derivative of m(j) wrt j.
-360*j**3
Let y(c) = 9*c**4 - 3*c**3 + c - 3. Let d(p) = -26*p**4 + 8*p**3 - 2*p + 8. Let g(b) = -3*d(b) - 8*y(b). What is the second derivative of g(w) wrt w?
72*w**2
Find the first derivative of -2*i**3 + 17 + 5*i**3 - 5*i**3 - 14 wrt i.
-6*i**2
What is the first derivative of u**2 - 13 - 11 + 12 + 9*u**2 wrt u?
20*u
Let m(j) be the first derivative of -j**2/2 + 3*j - 2. Let c be m(0). Find the first derivative of -3*s**3 + 2 + c*s**3 + 2*s**3 wrt s.
6*s**2
Let q(f) be the third derivative of -f**8/48 + f**5/20 - 2*f**2. What is the third derivative of q(i) wrt i?
-420*i**2
What is the third derivative of -3*i**2 - 239*i**4 + 241*i**4 + 2*i**6 + 6*i**6 wrt i?
960*i**3 + 48*i
Let n(y) be the first derivative of y**4/4 - 5*y**2/2 + 5. What is the second derivative of n(h) wrt h?
6*h
Let x(l) be the first derivative of -1 - 5/2*l**2 - 5*l. Differentiate x(y) wrt y.
-5
Let c(p) = -12*p**6 + 6*p**5 + 17*p**2 + 6*p. Let q(a) = 13*a**6 - 5*a**5 - 17*a**2 - 5*a. Let m(t) = 5*c(t) + 6*q(t). Find the third derivative of m(d) wrt d.
2160*d**3
Let n be (12/8)/((-2)/(-4)). What is the derivative of 3 + 2*c**3 + n*c**3 + 0 - 3*c**3 wrt c?
6*c**2
Let y(i) be the second derivative of -i**7/21 - 11*i**3/6 + 5*i. What is the second derivative of y(u) wrt u?
-40*u**3
Let l(u) = 2*u**3 - 4*u**2 - 7*u + 5. Let n be l(4). Let c = -15 + 56. What is the third derivative of 3*p**2 + n - 3*p**4 - c wrt p?
-72*p
Let n be ((-9)/(-2))/((-3)/4). Let z = n - -10. Find the second derivative of -v - z*v**4 + 2*v + 5*v**4 - 2*v**4 wrt v.
-12*v**2
Let v(f) be the third derivative of -3*f**9/56 + f**5/4 + 20*f**2. What is the third derivative of v(o) wrt o?
-3240*o**3
Let o(a) be the first derivative of -a**7/210 + a**6/180 - a**3 + 1. Let l(i) be the third derivative of o(i). What is the third derivative of l(b) wrt b?
-24
Let s(j) be the second derivative of -15*j**8/56 + 3*j**4/4 + 2*j. What is the third derivative of s(b) wrt b?
-1800*b**3
Let f(b) = b**2 + 9*b + 11. Let m be f(-8). Find the second derivative of x**5 - m*x + x - x wrt x.
20*x**3
Let u(g) be the first derivative of -g**5/60 - g**4/4 - 3*g**2 - 6. Let r(y) be the second derivative of u(y). Find the second derivative of r(w) wrt w.
-2
Find the third derivative of 12*o**4 - 3*o**2 - 2*o**2 - 5*o**4 wrt o.
168*o
Let t(i) be the third derivative of 4*i**2 + 1/20*i**6 + 0*i + 0 + 1/12*i**5 + 0*i**4 + 0*i**3. Find the third derivative of t(n) wrt n.
36
Let x(o) = -o**3 - o**2 + o - 1. Let h(w) = 2*w**3 - 3*w**2 + 3*w - 4. Let l(f) = h(f) - 3*x(f). Differentiate l(j) with respect to j.
15*j**2
Let t be (-52 + 6)*(-2)/4. Suppose 5*c - 22 - 18 = -s, -4*c = -s - t. What is the second derivative of 4*r - c*r + 2*r**2 - r + 6*r wrt r?
4
Let r be (-1)/(-4) + 30/8. What is the first derivative of -1 + 3*g**r + 6 + 1 wrt g?
12*g**3
Let m(i) be the third derivative of 11*i**6/60 - 5*i**4/6 + 23*i**2. What is the second derivative of m(j) wrt j?
132*j
Let l(x) = -x**3 + 6*x**2 - 4*x - 2. Let k be l(5). Find the second derivative of 8*v**k - 5*v**5 - 8*v**3 + 4*v wrt v.
-100*v**3
Let p(m) = m**3 - 7*m**2 + m - 5. Let v be p(7). Find the second derivative of -4*z**2 - 4 + 3*z + 6 - v wrt z.
-8
Let p(a) = -13*a**4 - 18*a**2 + 5*a. Let m(u) = -14*u**4 - 17*u**2 + 4*u. Let q(v) = 5*m(v) - 4*p(v). What is the third derivative of q(f) wrt f?
-432*f
Let z(j) be the third derivative of 49*j**5/60 + 25*j**4/12 - 58*j**2. Find the second derivative of z(f) wrt f.
98
Let t(x) be the third derivative of 1/6*x**3 + 2*x**2 + 0*x**4 + 1/20*x**5 + 0 + 0*x. What is the derivative of t(s) wrt s?
6*s
Let v = -8 + 11. What is the third derivative of -4*b**2 - 6*b**5 + 10*b**2 + 3 - v wrt b?
-360*b**2
Suppose 0 = 3*o + 4*d - 17, 0 = o - 3*d + 4*d - 7. Let p = 29 + -16. What is the third derivative of 4*x**2 - 2*x**2 + o*x**4 - p*x**4 wrt x?
-48*x
Suppose -2*l - 78 = -6*l + 3*k, -k + 2 = 0. Let r = l + -15. What is the third derivative of -4*a - a**2 + 2*a - 3*a**r + 2*a wrt a?
-360*a**3
Let g(t) be the third derivative of t**7/630 + 3*t**5/40 + t**4/6 + 4*t**2. Let n(p) be the second derivative of g(p). Find the first derivative of n(h) wrt h.
8*h
Suppose -4*b + 64 = -2*a, 4*b = 3*a - 0*a + 64. Suppose -3*n + 7 = g - b, n - 31 = -5*g. Find the second derivative of -n*