 - 6
Let d(m) be the second derivative of -2*m**7/21 + m**3 + 6*m. Find the second derivative of d(v) wrt v.
-80*v**3
Let p(d) be the third derivative of 2*d**5/15 - d**3 + 5*d**2. Find the first derivative of p(u) wrt u.
16*u
Let w(m) be the third derivative of m**7/30 + m**4/2 - 8*m**2. Find the second derivative of w(y) wrt y.
84*y**2
Find the first derivative of 77*o - o**2 + o**3 - 77*o - 23 wrt o.
3*o**2 - 2*o
Let a = 30 + -27. What is the first derivative of 9*q**2 + 2 - 4*q**2 + 5*q**a - 5*q**2 wrt q?
15*q**2
Let k(t) be the second derivative of 25*t**8/56 + 7*t**4/4 - 16*t. Find the third derivative of k(y) wrt y.
3000*y**3
Suppose 4*l + 12 = 7*l. What is the third derivative of 2 + l*m**6 - 2*m**6 + 2*m**2 - 2 wrt m?
240*m**3
Let r(m) = m + 2. Let i(w) = w + 1. Suppose 2*n - 4*n = 10. Let y(o) = n*i(o) - r(o). Find the first derivative of y(d) wrt d.
-6
Suppose 0 = -4*l + 2*l - 3*o, 0 = -5*l - 4*o + 7. Let v(q) be the first derivative of 1/3*q**l + 1 + 1/2*q**2 + 0*q. Find the second derivative of v(d) wrt d.
2
Suppose -3*h + 12 - 3 = 0. Let z(n) be the first derivative of 0*n**2 + 1/2*n**4 - 2 + 0*n + 1/3*n**h. What is the third derivative of z(f) wrt f?
12
Let q(c) be the second derivative of 4*c**7/21 + 5*c**4/12 + 6*c. What is the third derivative of q(f) wrt f?
480*f**2
Let m be (14/21)/(4/6). Let s(l) be the first derivative of m + 0*l**2 - l + 1/4*l**4 + 0*l**3. Differentiate s(k) wrt k.
3*k**2
Let x(k) = k - 5. Let b be x(7). What is the third derivative of c**2 - 2*c**2 - 3*c**b + 7*c**3 - 3*c**2 wrt c?
42
What is the second derivative of 178 + 6*a + 0*a**2 - 178 - a**2 wrt a?
-2
Let d(u) be the second derivative of -7*u**4/6 - u**2 - 13*u. What is the first derivative of d(n) wrt n?
-28*n
Let w(v) be the third derivative of v**7/35 - v**3/3 - 7*v**2. Differentiate w(g) with respect to g.
24*g**3
Let l(p) = -9*p**2 + 3. Let t(u) = -u**2 + 1. Let v(s) = l(s) - 6*t(s). What is the first derivative of v(f) wrt f?
-6*f
Find the third derivative of 13*m**3 + 12*m**3 - 40*m**3 + 12*m**2 wrt m.
-90
Suppose -2*q = 2*r - 8, -3*q - 3*r = -6*q + 6. Suppose 5*o - 2*v - v - 12 = 0, 0 = -4*o + q*v + 9. Find the second derivative of 5 - 5 + j**2 + o*j wrt j.
2
Let q(l) be the third derivative of l**6/15 - 2*l**4/3 - 25*l**2. What is the second derivative of q(g) wrt g?
48*g
Let y(o) = o - 4. Let a(s) = 5*s - 21. Let f(q) = -4*a(q) + 22*y(q). Let k be f(4). What is the third derivative of 2*t**k + 3*t**2 + 2*t**4 - 5*t**4 wrt t?
-24*t
Let q(z) be the third derivative of 0 + 1/20*z**5 + 0*z**6 + 1/112*z**8 + 0*z**3 + 0*z - 5*z**2 + 0*z**4 + 0*z**7. Find the third derivative of q(m) wrt m.
180*m**2
Suppose 6 + 2 = 4*f. What is the third derivative of y**2 - y**6 + y**2 - y**f wrt y?
-120*y**3
Let h(v) = v**3 + 4*v**2 - v + 3. Suppose -3*j - 12 = -0*j. Let p be h(j). Find the first derivative of -4 + 4*a + 2 - p*a wrt a.
-3
Let r(o) = 4*o - 8. Let k(a) = -4*a + 7. Let n be (-5)/(-3) + 11/33. Let w(c) = n*r(c) + 3*k(c). Find the first derivative of w(b) wrt b.
-4
Let j(p) be the first derivative of p**5/15 + 5*p**4/24 + 2*p**2 + 5. Let b(u) be the second derivative of j(u). What is the second derivative of b(k) wrt k?
8
Let s(r) = r**3 + 6*r**2 - 6*r + 9. Let l be s(-7). Differentiate f + f**l + 2 + 0*f**2 - f wrt f.
2*f
Let v(z) = 30*z - 23. Let m(g) = 15*g - 12. Let r(s) = -11*m(s) + 6*v(s). Find the first derivative of r(p) wrt p.
15
Suppose -4*h - 3*v + 31 = 0, -v + 34 = 4*h + 13. Find the second derivative of -5*y + h*y - 2*y**3 + 5*y**3 wrt y.
18*y
Let y be (0/(-3))/3 + 2. Suppose -y*i + 0*i + 5*f = 16, -2*i + 3*f = 8. What is the third derivative of -4*u**2 + u**i + 5*u**4 - 3*u**4 wrt u?
48*u
Let p(m) = -m + 13. Let d be p(10). What is the second derivative of -5*b + d*b + b**3 + 0*b**3 wrt b?
6*b
Let g = -1 + 5. Suppose l + 1 + 8 = 3*z, 4*l = 5*z - 22. Differentiate 2 - 4 - z*a + g wrt a.
-2
Suppose -23 = -5*o - b, -4*b + 1 = -4*o + 5. Find the second derivative of -3*d + d - 2*d - d + 4*d**o wrt d.
48*d**2
Let x(l) be the first derivative of l**4/4 - 8*l**3/3 - l**2 - 4*l + 4. Find the second derivative of x(u) wrt u.
6*u - 16
Let p = 6 - 0. Let s(o) = 2*o**3 - 2*o - 5. Let z(r) = -r**3 + 3*r + 6. Let t(i) = p*s(i) + 4*z(i). Differentiate t(f) with respect to f.
24*f**2
Let n(t) be the first derivative of 0*t**4 + 0*t**3 + 4/5*t**5 + 4 + 2*t + 0*t**2. What is the first derivative of n(m) wrt m?
16*m**3
What is the first derivative of 2*x + 9*x - 7 - 1 + 1 wrt x?
11
Suppose -50 = -j + 6*j. Let f be ((-8)/j)/((-2)/(-15)). Find the third derivative of 0*q**f - 2*q**2 + 0*q**2 + q**6 wrt q.
120*q**3
Let r = -1 + 3. Find the third derivative of -r*l**5 + l**5 - l**2 + 0*l**5 + 0*l**2 wrt l.
-60*l**2
What is the second derivative of -10*r + 583*r**2 - 10*r**5 - 583*r**2 wrt r?
-200*r**3
Let d(p) = -7*p**3 + 17*p**2 - 17*p + 26. Let g(h) = 2*h**3 - 6*h**2 + 6*h - 9. Let j(f) = -6*d(f) - 17*g(f). What is the derivative of j(w) wrt w?
24*w**2
Let m(i) = -6*i - i + 5 - 1 - i**2. Let h be m(-7). Find the third derivative of 4*r**2 - r**2 + 0*r**h - r**5 + 0*r**4 wrt r.
-60*r**2
Let b(s) be the first derivative of -8*s**5/5 - 4*s**3/3 - 5. Find the third derivative of b(p) wrt p.
-192*p
Let u(d) be the third derivative of 3*d**7/70 + d**5/10 + 9*d**2. What is the third derivative of u(l) wrt l?
216*l
Let f(g) be the third derivative of 1/20*g**5 + 0 + 0*g**4 + 0*g + g**3 + 6*g**2. What is the first derivative of f(w) wrt w?
6*w
Suppose 2*y = 2*h - 2, -3*y + 4 = -h - 3. Differentiate -2*j**y + 1 + 0 + j**4 with respect to j.
-4*j**3
Let o(v) be the first derivative of -v**4/4 + 2*v**2 - 7*v + 1. Let b(k) = k**3 - 3*k + 6. Let r(q) = -4*b(q) - 3*o(q). Differentiate r(n) wrt n.
-3*n**2
Let c(o) = 22*o**3 - 2*o**2 + 2*o - 27. Let z(t) = -88*t**3 + 9*t**2 - 9*t + 108. Let b(v) = 9*c(v) + 2*z(v). Find the first derivative of b(l) wrt l.
66*l**2
Find the third derivative of -897 + 43*d**2 + 30*d**5 - 13*d**2 + 897 wrt d.
1800*d**2
Find the third derivative of 4*i**2 + 0*i**2 - 3 + 3 + 5*i**5 wrt i.
300*i**2
Let h = 7 + -1. Let p be h/(-2)*2/(-3). What is the second derivative of p*w**3 - 4*w**3 - 2*w + 0*w**3 wrt w?
-12*w
Differentiate 4*t**3 - 1 + t**3 - 15*t**4 - 5*t**3 wrt t.
-60*t**3
Suppose -3*i - 2*i = 0. Let v = i + 4. Differentiate 1 - 3 + g**4 + g**v wrt g.
8*g**3
Find the third derivative of -19*q**6 - 20*q**6 - 8*q**6 + 5*q**2 - 16*q**2 - 1 wrt q.
-5640*q**3
Let a(t) be the second derivative of -t**5/24 + t**4/24 + 7*t**3/6 - 3*t. Let u(x) be the second derivative of a(x). What is the derivative of u(p) wrt p?
-5
Let c be (-2)/(-8) - (-138)/24. Differentiate -c - 6 + 3 - 9*a**4 wrt a.
-36*a**3
Let g(s) be the second derivative of -1/4*s**4 + 0 - 1/14*s**7 + 0*s**3 - 2*s + 0*s**5 + 0*s**2 + 0*s**6. What is the third derivative of g(m) wrt m?
-180*m**2
Let i(r) be the second derivative of 5*r**7/21 - 11*r**4/12 - 10*r. Find the third derivative of i(j) wrt j.
600*j**2
Let y be ((-32)/12)/(2/(-9)). Let k = -7 + y. What is the second derivative of -2*x - 2*x**k + x**5 - x**5 wrt x?
-40*x**3
Let a = -6 - -10. Suppose -4*s - a*y = 12, 5*s = -0*s - 4*y - 10. What is the third derivative of 2*l**5 - 20*l + s*l**2 + 20*l + l**5 wrt l?
180*l**2
Let v be 2/(1 + 12/(-20)). What is the second derivative of 5*k - k - v*k - 6*k**5 - 4*k wrt k?
-120*k**3
Differentiate 9*m - 112 + 226 - 118 wrt m.
9
What is the second derivative of 2*p - 34 + 2*p**3 - 20*p**4 + 6*p**4 + 38 wrt p?
-168*p**2 + 12*p
Let b(i) = -i + 9. Let k be b(7). Suppose -15 + 3 = -4*o. What is the third derivative of -2*v**2 - v**k + v**o - 3*v**3 wrt v?
-12
What is the first derivative of -9 + 0 - 1 + 8*l**2 + 8 wrt l?
16*l
Let x(v) = v + 1. Let g(b) = -22*b - 8. Let k(h) = -g(h) - 3*x(h). What is the first derivative of k(r) wrt r?
19
Let t(z) = -5*z + 5. Let r(q) be the third derivative of -q**4/24 + q**3/6 + q**2. Let a(b) = 6*r(b) - t(b). Find the first derivative of a(x) wrt x.
-1
What is the third derivative of -3*u**2 + 7*u**3 + u**2 - 4*u**3 + 4*u**2 wrt u?
18
Let v(g) be the second derivative of 23*g**4/12 + 8*g**2 - 22*g. What is the derivative of v(m) wrt m?
46*m
Let s(r) = r**3 - r**2 - 2*r. Let l be s(2). What is the second derivative of 3*h + 3*h**2 + l*h - 4*h**2 wrt h?
