50400 - r**6/720 + r**5/60 - r**2. Let a(x) be the third derivative of d(x). Find the first derivative of a(y) wrt y.
-12*y**3
Suppose -r = 2 - 3. Let x(i) = i**2. Let f(g) = 3*g**2 - g. Let q(z) = r*x(z) + f(z). Find the second derivative of q(w) wrt w.
8
Suppose -4*g - 5 = -13. Let n(r) = -r**2 + 6*r + 2. Let o be n(6). What is the third derivative of 2*c**5 + 3*c**2 - 3*c**o + c**g wrt c?
120*c**2
Let g(c) be the third derivative of 2*c**5/15 + 3*c**4 + 2*c**2 - 47*c. What is the second derivative of g(x) wrt x?
16
Let m(f) be the third derivative of f**8/6720 + f**5/60 - f**4/24 - f**2. Let u(c) be the second derivative of m(c). What is the first derivative of u(z) wrt z?
3*z**2
Let z(s) be the second derivative of -1/12*s**4 + 0 + 3*s - 1/2*s**2 + 0*s**3. What is the derivative of z(w) wrt w?
-2*w
What is the second derivative of -9 + 11 - 2 + 59*f**4 - 46*f wrt f?
708*f**2
Suppose -3*q + 5 = v, 0*v = 5*v + 3*q - 13. Differentiate 0*w**2 + 0*w**2 - 3*w**3 + 1 + v wrt w.
-9*w**2
Differentiate -24 + 13 - 21 - i - 8 with respect to i.
-1
Suppose -i + 6*i = -5*a, 2*i - a = 3. What is the derivative of 4*t**3 - 10*t + i + 10*t wrt t?
12*t**2
Suppose 8*c - 35 = 3*c - 5*z, 0 = -5*c + 3*z + 11. Find the first derivative of 4*q - 4*q - 3*q**c + 0 - 3 wrt q.
-12*q**3
Let q(n) = n**2 - 5*n + 6. Let b be q(4). Find the second derivative of 3*a**3 + 3*a - 4*a + b*a + 0*a wrt a.
18*a
Let q(c) = 2*c**2 - 12. Let m(p) = -3*p**2 + 23. Let n(a) = 3*m(a) + 5*q(a). Find the first derivative of n(j) wrt j.
2*j
Suppose 3*z + 5*d = 18, 2*d = 2*z + 1 + 3. Let s be z*(1 + 2) - 0. What is the derivative of 3*x**s - 1 - x**3 - 1 wrt x?
6*x**2
Let q(j) be the third derivative of 9*j**7/70 + j**3/6 - 14*j**2. Differentiate q(d) wrt d.
108*d**3
Differentiate 9*w + 5 - 12 - 1 wrt w.
9
What is the second derivative of 9*w - 8*w**2 - 3*w + w wrt w?
-16
What is the third derivative of 31*b**2 - 1043 + 1043 - b**4 wrt b?
-24*b
Suppose -5*v + 2 = -4*t, 5*t - 2 = v + 3*v. Suppose -a + v*a = 3. What is the second derivative of -2*h**a - h**3 + h**3 + 2*h wrt h?
-12*h
Find the third derivative of 23*j**6 + 17*j**2 + 15*j**2 - 47*j**6 wrt j.
-2880*j**3
Suppose h - k - 2*k - 14 = 0, -3*h + 4*k = -22. What is the third derivative of 2*r**2 - 3*r**h + r**4 + 3*r**2 wrt r?
24*r
Let s = 8 - 5. Let z be 2/(-2)*(1 - s). Find the third derivative of c**3 + 2*c**2 - 2*c**z - 2*c**3 - c**2 wrt c.
-6
Let r(a) = -13*a**4 - 21*a**2 + 2*a + 2. Let u(v) = -52*v**4 - 83*v**2 + 9*v + 9. Let h(n) = -9*r(n) + 2*u(n). What is the third derivative of h(d) wrt d?
312*d
Suppose 2*q = h + 4*h - 54, 4*h + 2*q = 36. Suppose 4*g + 4 = -v, -4*v + 32 = -3*g + h. What is the second derivative of -5*c**5 + v*c**5 - c**5 - 2*c wrt c?
-40*c**3
Find the second derivative of -941 + 30*a + 12*a**4 + 941 wrt a.
144*a**2
What is the derivative of -6 + 18*j**3 - 66*j + 66*j - 8 wrt j?
54*j**2
Let c(n) = -2*n - 3. Let x be c(-2). Let l be (2 - x) + 1/(-1). Find the second derivative of 6*b**2 - b - 4*b**2 + l*b wrt b.
4
Let j(d) be the third derivative of 0*d**6 + 2/105*d**7 + 0 + 0*d + 0*d**3 + 1/20*d**5 + 0*d**4 - 3*d**2. What is the third derivative of j(i) wrt i?
96*i
Let j = 5 + 0. Let f = 3 + 2. Find the second derivative of -3*n**j + n**5 + 2*n + 0*n**f wrt n.
-40*n**3
Let r be (1/7)/(4/14). Let n(g) be the second derivative of 0 + g + 1/2*g**2 + r*g**3. Find the first derivative of n(i) wrt i.
3
What is the second derivative of 2*r**3 - 19*r - 22*r**3 + 3*r - 6*r wrt r?
-120*r
Let d(o) be the first derivative of o**9/252 - o**5/20 + 9*o**2/2 - 3. Let r(j) be the second derivative of d(j). Find the third derivative of r(h) wrt h.
240*h**3
Let h(b) = -b**4 + b**2 + b + 1. Let m(o) = -7*o**4 - 3*o**2 - 13*o - 3. Let r(n) = -3*h(n) - m(n). What is the second derivative of r(j) wrt j?
120*j**2
Let j(w) be the second derivative of 5*w**4/12 + 6*w**2 + w. Differentiate j(d) with respect to d.
10*d
What is the third derivative of 2*g**6 + g**2 - 7*g**2 + g - g wrt g?
240*g**3
Let k(t) = -27*t**2 - 6*t + 33. Let f(y) = -26*y**2 - 8*y + 33. Let o(x) = -3*f(x) + 4*k(x). What is the first derivative of o(q) wrt q?
-60*q
Differentiate 8 - 25*z**3 - 69*z**2 + 69*z**2 + 6 with respect to z.
-75*z**2
Let j(l) be the first derivative of -3*l**5/20 + l**4/12 - l + 3. Let s(v) be the first derivative of j(v). Find the third derivative of s(y) wrt y.
-18
Suppose -3*k + 4*k = -4*s + 9, 5*s = -5*k. What is the third derivative of x**3 + 2*x + s*x**2 + 2*x - 4*x wrt x?
6
Differentiate -2 + 0 + 6 + 6*c + 3 with respect to c.
6
What is the first derivative of -4*y**4 - 1 + 7*y**4 + 0*y**4 - 2*y**4 wrt y?
4*y**3
Let q(d) = -11*d**2 - 3*d + 7. Let u(s) = -s**2 - s. Let n(a) = -q(a) + 3*u(a). What is the first derivative of n(y) wrt y?
16*y
Let w(o) be the second derivative of 0*o**5 + 1/4*o**4 + 0*o**6 - 1/21*o**7 + 0*o**2 + 2*o + 0 + 0*o**3. What is the third derivative of w(n) wrt n?
-120*n**2
Let p = 60 - 58. Let j(v) be the first derivative of 2 + 0*v + 3/2*v**p + 2/3*v**3. Find the second derivative of j(f) wrt f.
4
Find the first derivative of 1 + 1 - 6 - 6*y wrt y.
-6
Let l = 4 - 2. Suppose -l*s = -0*s. Find the second derivative of d**3 - 2*d + s*d**3 - d + d wrt d.
6*d
Let c(s) be the second derivative of -2*s**7/7 + 2*s**4 - 25*s. What is the third derivative of c(h) wrt h?
-720*h**2
Let n = 13 + -23. Let s be -9*(n/3 - -3). Differentiate 2*k**2 + s*k**2 + 2 - 2*k**2 with respect to k.
6*k
Let j(b) = 5*b**2 + 5. Let d be 6/(-10) + (-8)/(-5). Let p(l) = l**2. Let m(u) = d*j(u) - 4*p(u). Find the first derivative of m(h) wrt h.
2*h
What is the third derivative of -42*l**2 + 65*l**2 + 6*l**2 - 44*l**3 wrt l?
-264
Let q(t) be the first derivative of 14*t**5/5 + 16*t + 15. Differentiate q(k) wrt k.
56*k**3
Let d(m) = -17*m**3 + 24*m. Let w(o) = -16*o**3 + 25*o. Let x(f) = -4*d(f) + 5*w(f). Find the second derivative of x(h) wrt h.
-72*h
Let a(h) be the first derivative of -h**8/560 - h**5/60 - h**3 + 2. Let z(g) be the third derivative of a(g). Find the second derivative of z(n) wrt n.
-36*n**2
Let c(w) = 40*w**3 - 6. Let n(u) = 13*u**3 - 2. Let x(k) = 4*c(k) - 11*n(k). Find the first derivative of x(i) wrt i.
51*i**2
Let k be 18/(-4)*(-4)/30. Let z(l) be the first derivative of 0*l - 2 + 0*l**4 + k*l**5 + 0*l**2 - l**3. What is the third derivative of z(n) wrt n?
72*n
Let o(h) be the first derivative of 1 - 1/2*h**4 + 4*h + 0*h**2 + 0*h**3. Differentiate o(i) wrt i.
-6*i**2
Let q(i) be the first derivative of 5*i**6/2 + 3*i**2 + 6. What is the second derivative of q(o) wrt o?
300*o**3
Let g(p) = -38*p**2 - 22*p. Let k(s) = s**2 + s. Let q(o) = -g(o) - 5*k(o). Find the second derivative of q(f) wrt f.
66
Let m(o) = -10*o**5 + 15*o**2 - 5*o + 5. Let k(a) = a**2 - a + 1. Let f(h) = 5*k(h) - m(h). Find the third derivative of f(q) wrt q.
600*q**2
Suppose i = -0*i + 3*g + 6, 5*i - 3*g - 18 = 0. What is the third derivative of 3*q**3 - q**3 - 3*q**i + 0*q**3 - 4*q**2 wrt q?
-6
What is the second derivative of -6*k + 2*k + k**2 - 2 + 2 wrt k?
2
Let s be 4*2/((-8)/(-3)). What is the second derivative of -4*u**s + 1 - 3*u + 0 - 1 wrt u?
-24*u
Let b(l) be the third derivative of l**9/168 - 7*l**5/60 + 8*l**2. Find the third derivative of b(u) wrt u.
360*u**3
Let d(m) = 80*m**3 + 35*m**2 + 45. Let t(g) = -g**3 + 4 + 5*g**2 + 1 + 10*g**3 - g**2. Let x(s) = -4*d(s) + 35*t(s). What is the derivative of x(k) wrt k?
-15*k**2
Let m(o) = o**3 - 6*o**2 + 6. Let a be m(6). What is the second derivative of -a*u - 11*u**2 + 0*u**2 + 3*u**2 wrt u?
-16
Find the first derivative of 5*z**3 + 8 - 13*z**3 + 1 wrt z.
-24*z**2
Let x(v) = -3*v**3 + 14*v**2 - 40. Let d(s) = 2*s**3 - 7*s**2 + 20. Let q(g) = 7*d(g) + 3*x(g). What is the first derivative of q(c) wrt c?
15*c**2 - 14*c
Let f = -1 + 3. Let l(a) = -a**2 + 5*a + 2. Let v be l(5). What is the third derivative of y**v + 0*y**f + y**6 - 2*y**6 wrt y?
-120*y**3
Let m(a) = 73*a**3 + 24*a**2 + 9*a. Let f(p) = -18*p**3 - 6*p**2 - 2*p. Let d(g) = -9*f(g) - 2*m(g). Find the third derivative of d(y) wrt y.
96
Let n(m) = -6*m**5 + m**4 - m**3 - m. Let q(b) = b**5 - b**4 + b**3 - b. Let d(i) = 2*n(i) + 2*q(i). Find the second derivative of d(y) wrt y.
-200*y**3
Let f(h) = -11*h + 16. Let s(n) = 5*n - 8. Let d