/(-1). Differentiate -o - r**4 - 3*r**4 + 2*r**4 with respect to r.
-8*r**3
Let l(i) be the first derivative of -i**7/168 - i**4/24 - 2*i**3 + 2. Let d(q) be the third derivative of l(q). Find the first derivative of d(a) wrt a.
-15*a**2
Let l(d) be the second derivative of -1/20*d**5 + 0*d**2 - 1/12*d**4 + d + 0 + 0*d**3. What is the third derivative of l(x) wrt x?
-6
Let x(t) = 3*t - 2. Let p be x(4). Find the second derivative of 5*o**4 - 10 + p - o wrt o.
60*o**2
Let h(j) be the first derivative of j**8/56 + 5*j**4/24 + 4*j**2 + 8. Let w(r) be the second derivative of h(r). Find the second derivative of w(a) wrt a.
120*a**3
Let k(v) = -v**3 - 12*v**2 + 14*v + 19. Let b be k(-13). What is the second derivative of 20*n**2 + 2*n**5 - b*n - 20*n**2 wrt n?
40*n**3
Let z = -14 - -22. Let v = z + -2. What is the first derivative of -3 - v*m + 2*m**2 + 6*m wrt m?
4*m
Let d(p) be the third derivative of p**8/560 - p**4/12 - p**3/6 + 3*p**2. Let h(u) be the first derivative of d(u). Find the first derivative of h(z) wrt z.
12*z**3
Find the second derivative of 8*i - 4*i**3 + 36*i - 2*i - 29*i**3 wrt i.
-198*i
What is the second derivative of -7*v + 2*v**3 - 7*v + v + v**3 wrt v?
18*v
Find the third derivative of 15*z**5 + 45*z**5 - 21*z**2 - 13*z**5 wrt z.
2820*z**2
Let r(m) be the third derivative of 1/24*m**4 - m**2 + 0 - 1/3*m**3 + 0*m. Find the first derivative of r(s) wrt s.
1
Let j(a) = a**2 + a. Let w(d) = 21*d**2 + 6*d + 7. Let q(u) = 6*j(u) - w(u). Differentiate q(b) with respect to b.
-30*b
Let p(f) be the second derivative of f**6/30 - 2*f**3/3 + f**2 + 3*f. Let q(l) be the first derivative of p(l). Differentiate q(h) wrt h.
12*h**2
Let o = 17 + -16. Suppose -8*l + 15 = -3*l. Find the first derivative of l*j**4 + 4*j**4 - o - 9*j**4 wrt j.
-8*j**3
Let h(v) = -18*v**5 - 6*v**4 + 15*v**2 - 6*v + 6. Let z(q) = -q**5 - q**4 + q**2 - q + 1. Let m(u) = -h(u) + 6*z(u). Find the third derivative of m(g) wrt g.
720*g**2
Let h(l) be the first derivative of -1/7*l**7 + 0*l - 3 + 0*l**6 + 0*l**5 + 0*l**4 + 0*l**2 - 1/3*l**3. Find the third derivative of h(t) wrt t.
-120*t**3
Let o(s) be the second derivative of -s**4/4 - s**2 - 10*s. Find the first derivative of o(c) wrt c.
-6*c
What is the second derivative of -2*i**2 - 7*i**4 + 0*i + 6*i + 2*i**2 wrt i?
-84*i**2
Let y(s) = -s**2 - 9*s + 36. Let q be y(-12). Let k(g) be the second derivative of 1/2*g**3 - g + 2*g**2 + q. Differentiate k(a) wrt a.
3
Let d be 4 + -3*(-6)/(-9). Find the third derivative of o**2 + 2*o**4 + 2*o**d - o**2 - 4*o**2 wrt o.
48*o
Suppose -12 - 4 = 4*p. Let h = p + 5. What is the derivative of -2*l**2 + 2 + 0 - h wrt l?
-4*l
Let j(r) be the first derivative of -3*r**6/40 - 3*r**3/2 - 5*r**2/2 - 5. Let k(q) be the second derivative of j(q). What is the derivative of k(b) wrt b?
-27*b**2
Let t(z) = 3*z - 1. Let n be t(1). Find the first derivative of 3*v - n - 3*v - 2*v wrt v.
-2
Let i be 1*2 - (-3 - -2). Let l be (0 + 1)*(2 - 0). What is the first derivative of -i - l*u**4 + 5*u - 5*u wrt u?
-8*u**3
Let a(o) be the third derivative of 11*o**6/120 + 2*o**5/15 + 9*o**2. What is the third derivative of a(j) wrt j?
66
Let m(y) be the third derivative of 0*y + 1/40*y**6 - 1/60*y**5 - 2*y**2 + 0*y**3 + 0 + 0*y**4. What is the third derivative of m(d) wrt d?
18
Let f be (-3)/9 - (-20)/6. Let q = 6 + -4. What is the first derivative of -m**2 - q - f*m + 3*m wrt m?
-2*m
Let c(k) = -5*k**3 + k**2 - k - 2. Let w be c(-1). What is the first derivative of -5*v**4 - w + 19*v**4 - 7*v**4 wrt v?
28*v**3
Let n(t) = t**2 + 8*t + 4. Let q be n(-8). Suppose 2*f = 8 - q. Find the second derivative of -f*o + 0*o + 3*o - 2*o**4 wrt o.
-24*o**2
What is the third derivative of 13*o**5 + 160*o**2 - 64*o**2 - 80*o**2 wrt o?
780*o**2
Let f = 9 - -1. Find the first derivative of -f + 9 - 7*q + 16*q wrt q.
9
Suppose -x + 2*x = o + 2, 3*o + 6 = 5*x. What is the third derivative of 2*j**2 + 3*j**6 - j**6 - 6*j**2 + x*j**2 wrt j?
240*j**3
What is the second derivative of -16*a - 4*a - 23*a**5 + 16*a**5 wrt a?
-140*a**3
Let u be ((0 - -1)*0)/(-2). What is the second derivative of 9*k**3 + u*k - 9*k**3 - 4*k**5 - k wrt k?
-80*k**3
Suppose 7 = c - z, 4*c + 5*z = 4*z + 13. Find the second derivative of 2*h - 5*h**c + 3*h**4 - h wrt h.
-24*h**2
Let a be 20/1*(-8)/20. Let b(f) = -f**3 - 9*f**2 - 9*f - 5. Let y be b(a). Find the second derivative of -2*z + 2*z + 2*z - y*z**3 wrt z.
-18*z
Suppose -f = -3*f + 4. What is the second derivative of y**f - 2*y**2 + 5*y**2 - 4*y wrt y?
8
Let x(k) be the third derivative of -2*k**6/15 + k**4/2 - 28*k**2. What is the second derivative of x(s) wrt s?
-96*s
Let b(w) be the first derivative of 7*w + 0*w**2 + 3/2*w**4 - 2 + 0*w**3. Differentiate b(y) with respect to y.
18*y**2
Let y(q) = -19*q**5 - 4*q**4 - 4*q**2 + 2*q + 4. Let a(h) = -h**4 - h**2 - h + 1. Let m(l) = 4*a(l) - y(l). What is the second derivative of m(v) wrt v?
380*v**3
Let m(y) be the third derivative of -5*y**4/6 + 10*y**3/3 + 22*y**2. Differentiate m(o) wrt o.
-20
Let g be (-2)/9 + (-74)/(-9). Let m = -6 + g. Differentiate -l**m - 1 + 0 + 3 with respect to l.
-2*l
Let i(j) be the third derivative of -17*j**7/210 + 11*j**4/24 + j**2. What is the second derivative of i(a) wrt a?
-204*a**2
Let w = -5 + 3. Let f be (-2)/(-4) + (-3)/w. Differentiate 2 - 2 + f*b + 1 wrt b.
2
Let p(j) = j**3 + 6*j**2 + 5. Let l be p(-6). Find the second derivative of -2*a + 8*a**l + 0*a**5 - 6*a**5 wrt a.
40*a**3
Let n(z) = -2*z - 16. Let d be n(-11). What is the third derivative of -27 - 4*j**2 + 27 + 3*j**d wrt j?
360*j**3
Let j(q) = q**4 - q**2. Let d(b) = 24*b**5 - 4*b**4 + 8*b**2 + 1. Let u(o) = d(o) + 4*j(o). What is the third derivative of u(i) wrt i?
1440*i**2
Let y(s) be the third derivative of -s**9/126 + 7*s**5/60 - 3*s**2. What is the third derivative of y(q) wrt q?
-480*q**3
Suppose 6 = 4*n - 6. Let d(v) be the second derivative of 0 - v**2 - 2*v - 1/6*v**n. What is the derivative of d(u) wrt u?
-1
Suppose 4*q + y - 5 = 0, 17 = q - 4*y - y. Suppose 0 = q*b - 2. What is the first derivative of 0 + b - 2*f + 4*f + 2*f wrt f?
4
Suppose -4*x + 3*x = -6. Suppose 0*y = 3*y - x. Find the first derivative of -3*j**3 + 2 - 1 + y*j**3 wrt j.
-3*j**2
Differentiate 11 - 4*v + 0*v + 11*v wrt v.
7
Let p(m) be the second derivative of 0*m**6 + 0*m**2 + 0 + m + 1/14*m**7 + 0*m**3 - 1/6*m**4 + 0*m**5. What is the third derivative of p(w) wrt w?
180*w**2
Suppose 0 = -5*u - 10, -6*c - 4*u = -2*c. Find the third derivative of -3*o**c - 4*o**3 + o**3 + o**3 wrt o.
-12
Let c = -2 + -1. Let o(p) = -p**4 + 11*p**2 - 7*p + 7. Let i(j) = 5*j**2 - 3*j + 3. Let k(l) = c*o(l) + 7*i(l). What is the third derivative of k(x) wrt x?
72*x
Let f = -32/5 + 101/15. Let s(q) be the first derivative of -f*q**3 - 3/5*q**5 + 0*q**2 - 2 + 0*q**4 + 0*q. What is the third derivative of s(t) wrt t?
-72*t
Suppose -1 + 3 = s - 2*d, d = 4*s - 15. Find the third derivative of h**2 + s*h + 3*h**5 - 2*h**2 - 4*h wrt h.
180*h**2
Let r be (1 - 1) + 0 + 14. Let t = r - 10. Find the second derivative of -k + t*k - 2*k**2 - k wrt k.
-4
Let y be 8/32 + (-2)/(-8). Let g(d) be the first derivative of -2 + 0*d**3 + 0*d - 1/2*d**2 + y*d**4. What is the second derivative of g(z) wrt z?
12*z
Let c = 8 - 4. Differentiate 3*b**2 + c*b**2 - 4*b**2 - 5*b**2 + 3 wrt b.
-4*b
Let g(b) = -4*b**5 - 5*b**4 + 9*b - 5. Let h(t) = -5*t**5 - 6*t**4 + 9*t - 6. Let k(d) = 6*g(d) - 5*h(d). What is the second derivative of k(w) wrt w?
20*w**3
Let z(a) = -9*a**3 - 2*a**2 - 2*a - 1. Let o be z(-1). What is the derivative of 6*q - 4*q - o - q + 7*q wrt q?
8
Let b = 7 + -7. Let s be (b + (-1 - -2))*4. What is the third derivative of -2*t**4 + 7*t**s - t**2 - 2*t**4 - 2*t**2 wrt t?
72*t
Find the second derivative of j - 5*j**4 + 0*j + 4*j + 23*j**4 wrt j.
216*j**2
Find the third derivative of 8*w**2 + 47*w**4 + 8*w**5 + 6*w**2 - 47*w**4 wrt w.
480*w**2
Let z(d) = -13*d**4 + 11*d**3 - 9*d**2. Let w(c) = -4*c**4 + 4*c**3 - 3*c**2. Let v(q) = -11*w(q) + 4*z(q). What is the third derivative of v(b) wrt b?
-192*b
Let o(w) be the first derivative of -4/3*w**6 + 0*w**5 + 0*w + 0*w**2 + 0*w**4 - 3 - 10/3*w**3. What is the third derivative of o(k) wrt k?
-480*k**2
Let n(q) be the second derivative of q**5/5 - q