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1
Find the second derivative of 21*p**2 + 2 + 24*p + 0 - 2 wrt p.
42
Suppose 0 = 2*d - 4*d - 2. Let k = d - -3. What is the derivative of 6 + 0*r - 2 - 5 + k*r wrt r?
2
Let q(u) be the second derivative of -2*u**3 - 10*u**2 + 8*u. Differentiate q(r) wrt r.
-12
Let z(j) be the first derivative of -9*j + 0*j**3 + 8 + 0*j**2 + 9/4*j**4. What is the derivative of z(x) wrt x?
27*x**2
What is the first derivative of 8 + 15 + 6*u**2 + 16 wrt u?
12*u
Let l(a) be the second derivative of -a**7/21 - 7*a**3/6 - 2*a. What is the second derivative of l(g) wrt g?
-40*g**3
Differentiate 21*n + 4*n**3 + 15 + 14*n**3 - 21*n wrt n.
54*n**2
Let z = -3 + 10. What is the second derivative of 5*g**5 - z*g**5 - 6*g + 3*g**5 wrt g?
20*g**3
Let y(n) = n**3 - 4*n**2 - 6*n + 7. Let c be y(5). Suppose -3*q + 1 = -5. Find the third derivative of -c*j**4 + 4 + q*j**2 - 4 wrt j.
-48*j
Find the second derivative of -14*m - 9*m**5 - 3*m**4 + 3*m**4 + 5*m wrt m.
-180*m**3
Let w(v) be the first derivative of -v**5/5 - 7*v**3/3 + 24*v**2 - 24. Find the second derivative of w(a) wrt a.
-12*a**2 - 14
Suppose 4*r - 4*w - 12 = 0, r - 7 = 5*w - 0*w. Find the second derivative of 4*q**2 + 14*q - 11*q - r*q**2 - 3*q**2 wrt q.
-2
Suppose -11 = -5*f + 4. Find the third derivative of -2*z**5 + 0*z**5 + 0*z**2 - 7*z**2 - f*z**5 wrt z.
-300*z**2
Let i(g) = -7*g**3 - 4*g**2 + 14*g. Let v(o) = o**3 - o**2 + o. Let f(y) = -i(y) + 4*v(y). What is the second derivative of f(c) wrt c?
66*c
Let f be 4/(-3)*54/(-12). Let j(a) = 7*a**2 + 5*a - 1. Let b(m) = 8*m**2 + 6*m - 1. Let i(p) = f*j(p) - 5*b(p). Differentiate i(z) with respect to z.
4*z
What is the second derivative of -17*s + 5*s + 7*s + 4*s**5 + 3*s wrt s?
80*s**3
Let k(r) be the second derivative of -5*r**4/2 + 2*r**3/3 + 41*r. Find the second derivative of k(m) wrt m.
-60
Let c(x) = -x**3 - 8*x**2 + 5. Let n be c(-8). Let t = n - 4. What is the second derivative of -l**5 + t - 3 + 2 + 2*l wrt l?
-20*l**3
Let b be (8/(-14))/(4/(-14)). Find the third derivative of b*f**6 - f**2 - 2*f**5 + 2*f**5 wrt f.
240*f**3
Let j(s) be the second derivative of s**6/10 - 3*s**4/4 - 3*s. Find the third derivative of j(i) wrt i.
72*i
Let a(h) be the first derivative of 10*h**3/3 + 29*h**2/2 - 19. Find the second derivative of a(k) wrt k.
20
Let a(c) = c**3. Let v(d) = -d. Suppose -k + 0*k = -1. Let m(r) = k*v(r) - a(r). Find the second derivative of m(n) wrt n.
-6*n
Let h(y) = 2*y**2 + y. Let l(q) = -6*q**2 - 3*q. Suppose 34 = 5*s - 2*b, 3*b = s + 1 - 0. Let u(n) = s*h(n) + 3*l(n). Find the second derivative of u(o) wrt o.
-4
Let t(y) be the third derivative of 0*y**3 - 3*y**2 + 0*y**4 + 0*y**6 - 1/35*y**7 + 1/12*y**5 + 0 + 0*y. Find the third derivative of t(d) wrt d.
-144*d
What is the first derivative of -16*x**3 + 227 - 207 - 19*x**3 wrt x?
-105*x**2
Let l(t) be the third derivative of t**8/6720 + t**7/1260 - t**4/12 - t**2. Let m(g) be the second derivative of l(g). Find the third derivative of m(r) wrt r.
6
Let v(c) = c + 1. Let n(j) = 5*j**3 - 3*j + 3. Let g(m) = -n(m) + 3*v(m). What is the second derivative of g(z) wrt z?
-30*z
Let t(o) be the second derivative of o**6/5 - 5*o**4/12 + 8*o. Find the third derivative of t(c) wrt c.
144*c
Let p(m) be the third derivative of 3*m**7/35 + 7*m**5/30 - 19*m**2. Find the third derivative of p(l) wrt l.
432*l
Let g(l) = -l**3 - 8*l**2 - 11*l - 14. Let s be g(-7). What is the second derivative of -10*h**4 + 17*h - 25*h + s*h wrt h?
-120*h**2
Let j(l) = l. Let w(z) = 3*z + 1. Let d(b) = -22*j(b) + 2*w(b). Differentiate d(c) with respect to c.
-16
Let c(q) be the second derivative of 0 - 3/10*q**5 + 0*q**3 + 3/2*q**2 + 2*q + 0*q**4. Find the first derivative of c(k) wrt k.
-18*k**2
Let o(r) be the second derivative of -13*r**5/20 + 11*r**4/6 - 22*r. What is the third derivative of o(w) wrt w?
-78
Let v(z) be the third derivative of z**7/105 + z**5/6 + 8*z**2. Find the third derivative of v(f) wrt f.
48*f
Let v be 0 - 3/6*-4. Find the second derivative of 0*r + 4*r**v + 2*r - 2*r - 4*r wrt r.
8
Let j(y) = 4*y**3 + 2*y**2 + 2*y. Let c(h) = -11*h**3 - 7*h**2 - 5*h. Let p = 9 + -7. Let k(z) = p*c(z) + 7*j(z). Find the second derivative of k(i) wrt i.
36*i
Let g(r) be the first derivative of r**5/20 + 5*r**4/12 - 4*r - 4. Let u(c) be the first derivative of g(c). Find the third derivative of u(x) wrt x.
6
Suppose -3 = 5*x - 8*x. Let k be 3*(2 - 1/x). Find the first derivative of 1 + 3 - 5*w**4 + 3*w**4 - k wrt w.
-8*w**3
Let w(h) be the third derivative of 19*h**5/60 + 5*h**4/12 + h**2. What is the second derivative of w(n) wrt n?
38
Let d(j) be the second derivative of 0*j**3 - 3*j + 0 + 0*j**4 - 3/2*j**2 + 0*j**5 - 1/30*j**6. Differentiate d(v) wrt v.
-4*v**3
Let h be 135/(-18)*(-4)/5. What is the third derivative of -2*n**6 + 7*n**2 + 0*n**6 + 7*n**6 + 2*n**h wrt n?
840*n**3
Let i(v) = -v**4 + v**3 + 1. Let d = -1 + 7. Let o(u) = -2*u**4 + 6*u**3 + 9*u**2 + 6. Let k(x) = d*i(x) - o(x). What is the third derivative of k(f) wrt f?
-96*f
Let l be (-1)/((-2)/16) - (-8)/(-4). Suppose 0*q = -q + s + 5, -2*q + s = -11. Find the third derivative of l*t**6 + 1 - 1 + t**2 - 3*t**q wrt t.
360*t**3
Let o(n) be the first derivative of 3*n**5/20 + n**4/4 + 2*n - 7. Let h(c) be the first derivative of o(c). What is the third derivative of h(r) wrt r?
18
Let s(w) = -5*w**6 - 2*w**3 + 6*w**2 + 2*w - 2. Let k(x) = x**3 - x + 1. Let r(q) = 2*k(q) + s(q). What is the third derivative of r(b) wrt b?
-600*b**3
Let f(h) be the second derivative of 0*h**5 + 0*h**4 + 0*h**3 - h**2 - 2*h - 1/30*h**6 + 0. Find the first derivative of f(y) wrt y.
-4*y**3
Let b(t) be the first derivative of -3*t**6 - 5*t**3 + 27. What is the third derivative of b(g) wrt g?
-1080*g**2
Let s(c) = c**3 + c**2 + c + 1. Let u(x) = 7*x**3 - 3*x**2 - 3*x - 14. Let r(n) = 3*s(n) + u(n). What is the derivative of r(i) wrt i?
30*i**2
Let v(i) = i + 1. Let z be v(4). What is the second derivative of 6*p**z - 16 + 2*p + 16 - 6*p wrt p?
120*p**3
Let o(u) = u**2 - 6*u - 1. Let d be o(7). Suppose -t = 5*b - 16, 0 = -d*b + b - 4*t + 19. What is the second derivative of -2*f**2 - f + b*f**2 + 0*f wrt f?
2
Let q(b) be the second derivative of 11*b**5/20 + 11*b**3/6 + 10*b. Find the second derivative of q(m) wrt m.
66*m
Let p(s) = -99*s**3 + 35*s**2 + 11*s + 11. Let j(d) = 20*d**3 - 7*d**2 - 2*d - 2. Let z(f) = 11*j(f) + 2*p(f). Find the third derivative of z(i) wrt i.
132
Let f be ((-2)/4 - 2)*-2. Find the second derivative of 2*c + f*c**4 + 0*c**3 - 3*c**3 + 3*c**3 wrt c.
60*c**2
Let c(w) be the first derivative of -w**7/168 + w**5/120 - w**3/3 - 2. Let k(b) be the third derivative of c(b). Find the second derivative of k(t) wrt t.
-30*t
Suppose -5 = 2*m + 5*t - 17, -5*m + 5*t = 5. Suppose 2*q = -m + 5. What is the second derivative of 0*f**2 + 2*f - 3*f - f**q wrt f?
-2
Let v = 123/2 - 60. Let d(q) be the first derivative of v*q**2 + 2 - 2*q. Differentiate d(h) with respect to h.
3
Suppose -5*j + 13 = -12. Suppose j*b - 9 = 1. What is the first derivative of b*a + 2*a - 4 + 0*a wrt a?
4
Let f = 8 + -4. What is the first derivative of -w**f + 4*w**4 - 3*w**4 - w**4 + 1 wrt w?
-4*w**3
Let n(h) = -2*h - 1. Let l be n(-2). Find the third derivative of 5*j**5 + 2*j**2 - 6*j**5 + l*j**5 wrt j.
120*j**2
Find the third derivative of 9*h**3 + 39*h**2 + 144*h - 144*h wrt h.
54
Let g(a) = -a**4 + a**3 + a**2 - a - 1. Let i(k) = -11*k**4 - 3*k**3 - 3*k**2 - 3*k + 3. Let c(r) = 3*g(r) + i(r). Find the second derivative of c(d) wrt d.
-168*d**2
Let d(m) be the second derivative of -m**7/6 - 5*m**4/6 + 6*m. What is the third derivative of d(k) wrt k?
-420*k**2
Let a(m) = m**3 + 4*m**2 + 4. Let k be a(-4). Differentiate 41*p**4 - 2 - 38*p**4 - k with respect to p.
12*p**3
Let m(x) be the third derivative of -x**9/504 + x**5/60 + x**2. What is the third derivative of m(l) wrt l?
-120*l**3
Let d(a) be the third derivative of -a**3/6 - a**2. Let y(m) = -m - 1. Let r(v) = d(v) + 2*y(v). Find the first derivative of r(w) wrt w.
-2
Let s(p) = -4*p - 20. Let j be s(-6). Find the third derivative of 4*a**j - 4*a**2 + 0*a**4 - 4*a**2 wrt a.
96*a
Suppose -4*z + 10 = -2*z. What is the second derivative of z*q**2 - 2*q + 6*q**4 + 5*q - 5*q**2 wrt q?
72*q**2
Let i(t) = 3*t**3 + 5*t**2 - 5*t - 5.