t d?
10
Let c(b) = 10*b**3 + 9*b**2 + 2*b + 2. Let o(n) = 9*n**3 + 8*n**2 + 3*n + 3. Let v(s) = -3*c(s) + 2*o(s). Find the third derivative of v(w) wrt w.
-72
Let n(m) be the third derivative of -m**7/21 + m**3/6 - 6*m**2. What is the first derivative of n(c) wrt c?
-40*c**3
Let w(s) = -14*s + 8. Let u(b) be the second derivative of -5*b**3/6 + 3*b**2/2 - b. Let d(j) = -11*u(j) + 4*w(j). Find the first derivative of d(r) wrt r.
-1
Suppose 14 = 2*f + 3*z, 5*f + 14 - 40 = -3*z. Find the third derivative of -5*i**f + 3*i**4 - 2*i**2 - 4 + 4 wrt i.
-48*i
Let v = 9 - 3. Suppose -3*z + 3*i - v = -2*z, 3*z = -3*i + 18. Differentiate -z*j + 2*j + j + 1 - 2*j**3 with respect to j.
-6*j**2
Let z(u) = 3*u**2 + 6. Let c(t) = t**2 + 3. Let x(q) = -7*c(q) + 3*z(q). What is the derivative of x(p) wrt p?
4*p
Let y(i) be the first derivative of -21*i**4/4 + 6*i**3 - 23. Find the third derivative of y(m) wrt m.
-126
Let n(h) be the first derivative of -2*h**3 + h**2/2 - 5*h - 59. What is the first derivative of n(t) wrt t?
-12*t + 1
Suppose 3*a = -0 - 3, -z = 3*a. Let v be -9*6/(-27)*z. What is the third derivative of -c**2 + 0*c**6 + 0*c**6 - 3*c**v + 4*c**6 wrt c?
120*c**3
Let j(q) = 4*q**2 - q - 2. Let z be j(2). Suppose -4*p + p = -z. Find the third derivative of n**4 + 3*n**2 + 0*n**p - n**2 wrt n.
24*n
Let q(s) = s - 3. Let n be q(0). Let m = 6 + n. What is the second derivative of -3*d + d - d**3 - 3*d**m wrt d?
-24*d
Let h = -16 + 18. Let b(d) be the third derivative of -2*d**h + 0*d**3 - 1/30*d**5 + 0 + 0*d + 1/24*d**4. Find the second derivative of b(k) wrt k.
-4
Let w(z) = z - 1. Let g(m) = 5*m**2 - 6*m + 17. Let t(x) = g(x) + 6*w(x). Differentiate t(n) with respect to n.
10*n
Let j(h) be the first derivative of -h**3/3 + h**2 - 2. Let n(r) = r. Let i(w) = 2*j(w) - 5*n(w). What is the second derivative of i(f) wrt f?
-4
What is the third derivative of -3*y**3 + 8*y**2 - 2*y**2 - 2*y**2 + 3*y**2 wrt y?
-18
Differentiate 36 - 2*p**2 + 4*p**2 + 4*p - 8 wrt p.
4*p + 4
Suppose 5*n - 12 = -5*h + 18, n - 4*h = -14. Let c(r) = r**2 - 3*r - 2. Let v be c(4). Find the third derivative of 2*g**2 + 2*g - v*g**5 + 0*g**2 - n*g wrt g.
-120*g**2
Let g(u) be the second derivative of -23*u**4/12 - 6*u**2 + 9*u. Differentiate g(s) with respect to s.
-46*s
Let r(s) be the second derivative of s**8/3360 + s**7/1260 - s**4/6 - 3*s. Let u(y) be the third derivative of r(y). Find the third derivative of u(a) wrt a.
12
Suppose -3*s = -0*c - c - 2, 3*c - s = -22. Let f be 1/((-2)/c*1). What is the second derivative of 0*p**2 + f*p - 2*p**2 - 5*p wrt p?
-4
Let q(r) = -r + 5. Let o be q(0). What is the second derivative of -3*b**o + 4*b - b + 2*b**5 wrt b?
-20*b**3
Let q(f) = 42*f**5 - 5*f**4 + 103*f**2 + 5. Let s(a) = -21*a**5 + 3*a**4 - 52*a**2 - 3. Let d(n) = -3*q(n) - 5*s(n). Find the third derivative of d(w) wrt w.
-1260*w**2
Let u(s) be the third derivative of 7*s**5/15 + 41*s**4/24 + 20*s**2. What is the second derivative of u(v) wrt v?
56
Suppose 4*j + 19 = -1. Let h(z) = z**3 + 6*z**2 + 5*z + 4. Let o be h(j). Differentiate -q**3 + 3*q**3 + 3 - o wrt q.
6*q**2
Let h(t) = -2*t - 6. Let r be h(-5). Suppose -r*l - 2*g = -14, -l = 4*l + g - 19. Find the first derivative of 1 - l + w**2 + 2*w**2 wrt w.
6*w
Find the first derivative of -2*s + 16 + 2*s - 73*s**2 + 38*s**2 wrt s.
-70*s
Let m be ((-4)/2 - -3)*0. Suppose m*j - 12 = -2*j. Find the third derivative of -o**6 + 2*o**6 + 5*o**2 - j*o**2 wrt o.
120*o**3
What is the third derivative of -1548*o**3 + 24*o**4 + 1548*o**3 + 13*o**2 wrt o?
576*o
Let o(j) be the third derivative of j**7/105 - j**3/2 + 5*j**2. Differentiate o(p) with respect to p.
8*p**3
Suppose n - 3 = 3*t, -2*n + 8 = -2*t + 2. What is the derivative of -3 - 4*c - c**2 + 4*c + t*c wrt c?
-2*c
Let g(u) = u**2 + 3. Let t be g(0). Suppose -4*s = 2*v + 8, v = t*v - s - 12. Find the first derivative of 2*p**v - 4*p**4 + 4 - 3 + 4*p**4 wrt p.
8*p**3
Let q(b) be the second derivative of b**6/5 + b**4/12 - 6*b. Find the third derivative of q(z) wrt z.
144*z
Suppose -x - 1 + 11 = -4*z, 2*z - 2 = -3*x. Suppose x*q = -q + 15. What is the second derivative of 2*i + 5*i**5 - 4*i**q + i**5 wrt i?
40*i**3
Let j be 20/48 - (-4)/(-12) - 0. Let y(m) be the third derivative of -j*m**4 + 0 - 3*m**2 - 1/20*m**5 + 0*m**3 + 0*m. Find the second derivative of y(d) wrt d.
-6
Let z(n) = -19*n**4 - 4*n**3 + 11*n**2 + 4. Let h(l) = -39*l**4 - 9*l**3 + 23*l**2 + 9. Let y(i) = 4*h(i) - 9*z(i). What is the third derivative of y(o) wrt o?
360*o
What is the first derivative of -r**4 - 6 + 15 + 6*r**4 wrt r?
20*r**3
Let f(i) be the second derivative of -3*i**6/10 + 2*i**3/3 + 2*i. What is the second derivative of f(l) wrt l?
-108*l**2
Let u(l) = -9*l**5 + 2*l**4 + l**2 + 2*l - 2. Let k(i) = -i**5 + i**4 + i - 1. Let q(v) = -2*k(v) + u(v). What is the third derivative of q(h) wrt h?
-420*h**2
Let l be (3 - 5) + (-1 - -19). Suppose -2*u - 2 = -7*v + 2*v, 5*u = 2*v + l. What is the third derivative of -b**5 + b**4 - 2*b**2 - b**u wrt b?
-60*b**2
Let l(b) be the third derivative of b**7/210 + b**3/3 + 16*b**2. What is the derivative of l(t) wrt t?
4*t**3
Let v(h) be the third derivative of -h**6/15 + h**4/12 - 2*h**2. What is the second derivative of v(x) wrt x?
-48*x
What is the second derivative of -16*q - 18 + 0 - 26*q**4 - 4 + 14*q wrt q?
-312*q**2
Suppose 0 = -2*r + 7 - 3. Suppose -8 = -5*w + r. What is the third derivative of n**5 + 3*n**2 + w*n**5 + 0*n**2 wrt n?
180*n**2
What is the first derivative of 34*l**3 + 112*l**2 + 22 - 112*l**2 wrt l?
102*l**2
Find the first derivative of 4*d**4 + d**4 - 1 - 3 + 9*d**4 wrt d.
56*d**3
What is the first derivative of 2 + 68 - 4*j + 16*j + j**2 + 10*j wrt j?
2*j + 22
Let b(z) = -z**2 + 5*z + 6. Let h be b(6). Let c = 5 - h. Find the third derivative of a**c + a**5 + 2*a**2 - 5*a**5 wrt a.
-180*a**2
Suppose -3*n - 15 = 0, 0 = -5*v - 2*n - 3*n - 5. Find the third derivative of 3*w**2 - w**4 - w**v + 11*w**4 wrt w.
216*w
Let v(y) = -y**3 + 7*y**2 + 4. Suppose -4*i = -5*i - d + 2, 5*i = -d + 30. Let r be v(i). Find the third derivative of -a**2 + a**r + 2*a**2 - 2*a**2 wrt a.
24*a
Let i be 2 - (4 + (-2)/2). Let y = 2 - i. Find the first derivative of -m**3 + 3*m**3 - 1 - 4*m**y wrt m.
-6*m**2
Find the second derivative of 6*z**5 - 5 - z + 7*z**4 + 7 - 4*z**4 wrt z.
120*z**3 + 36*z**2
Suppose 0 = 3*y - 2 - 10. Let k be (y - -3) + -2 + -1. What is the first derivative of 3 - 5*f**4 + 5*f**k + f**4 wrt f?
4*f**3
Let h(j) be the second derivative of -2*j**6 + 26*j**2 - 2*j - 36. Differentiate h(z) wrt z.
-240*z**3
Suppose -4*u + 29 + 31 = 0. Suppose -9 = -5*j + 2*j. Differentiate 3*k**j - u*k + 3 + 15*k with respect to k.
9*k**2
Let b be (24/(-20))/((-3)/5). Let w(t) = -t**3 + 5*t**2 + 7*t - 3. Let u be w(6). Find the first derivative of -c**3 + b + 2*c**u + c**3 wrt c.
6*c**2
Let h(b) be the third derivative of b**7/2520 + b**6/144 - b**5/30 + 3*b**2. Let x(c) be the third derivative of h(c). What is the derivative of x(p) wrt p?
2
What is the third derivative of -1564*a**6 + 24*a**2 + 2*a**5 + 1547*a**6 - 2*a**5 wrt a?
-2040*a**3
Suppose -5*r + 5 + 15 = 0. Let m(k) = k**3 + 7*k**2 - 9*k - 4. Let o be m(-8). Find the second derivative of 2*j**4 + 3*j**4 + 3*j - 4*j**o + j**r wrt j.
24*j**2
What is the third derivative of 5*z**2 - 3*z**2 + 6*z**2 - 5*z**5 wrt z?
-300*z**2
Let k(u) = -u**2 + 10*u + 14. Let q be k(11). Find the second derivative of r**3 + 2*r**3 + 4*r - 2*r**q wrt r.
6*r
Let o(g) = -g. Let x be o(-2). Find the second derivative of 0*n**2 - n + 0*n**x + 3*n + 3*n**3 wrt n.
18*n
Let h be -4*(5/4 + -2). Suppose -h*k = 2*k - 25. Find the third derivative of -34 - f**2 + 34 + f**k wrt f.
60*f**2
Let r(l) = 21*l**2 - 22*l - 7. Let v(f) = -11*f**2 + 11*f + 4. Let i(y) = -4*r(y) - 7*v(y). What is the second derivative of i(b) wrt b?
-14
Let l(w) = 9*w**2 + 33*w - 72. Let t(v) = v**2 + 4*v - 9. Let d(p) = 4*l(p) - 33*t(p). What is the first derivative of d(y) wrt y?
6*y
Find the third derivative of 478*w**4 - 478*w**4 - 28*w**2 - 3*w**5 wrt w.
-180*w**2
Let r(x) be the third derivative of -7*x**4/24 + 5*x**3/3 - x**2. Differentiate r(o) wrt o.
-7
Let a be ((-3)/(-6))/(3/12). Differentiate -5*b**a + 4*b**2 - 2 + 4*b**2 wrt b.
6*b
Let w = -6 - -1