(d) = d**3 - d + 1. Let m(r) = 6*f(r) - u(r). Find the first derivative of m(t) wrt t.
-27*t**2
Let m(u) = u - 5. Let d be m(7). Suppose d*v + v = 12. Differentiate -v - 2 + 3*z**2 + 5 with respect to z.
6*z
Let w(z) be the third derivative of 1/30*z**5 + 2/105*z**7 + 0*z**6 + 0 + 0*z + 0*z**3 + 0*z**4 + 2*z**2. What is the third derivative of w(u) wrt u?
96*u
Suppose -4*o + 6 = 3*p, 4*p + o + 5 = 26. Suppose 0*f = -5*f + 5, -5 = -5*v + 5*f. Find the third derivative of p*r**v - r**5 - 2*r**2 - 2*r**2 wrt r.
-60*r**2
Differentiate 39*f**3 + 25*f**4 - 39*f**3 + 22 with respect to f.
100*f**3
Suppose 0*i + 54 = 2*i. Suppose -3*j - 3*t + i = t, -21 = -3*j - 2*t. Find the second derivative of 0*s**5 - 2*s + 0*s**5 + s**j wrt s.
20*s**3
Let w(l) be the first derivative of -l**4/4 - 3*l**2 + 2. What is the second derivative of w(p) wrt p?
-6*p
Let s(b) be the third derivative of 0*b - 1/12*b**4 + b**2 + 1/60*b**6 + 0*b**3 + 0 + 0*b**5. Find the second derivative of s(k) wrt k.
12*k
Let a be (-2)/(-7) - 206/(-14). Let z = a + -11. What is the third derivative of 0*k**z + k**2 + k**4 - 3*k**2 wrt k?
24*k
Let g(d) = 3*d**4 - 27*d**2 + 4*d - 4. Let a(m) = -4*m**4 + 27*m**2 - 5*m + 5. Let f(i) = -4*a(i) - 5*g(i). Find the third derivative of f(y) wrt y.
24*y
Let g(r) = 87*r**2 + 35*r. Let h(b) = -29*b**2 - 11*b. Let f(z) = 3*g(z) + 8*h(z). What is the second derivative of f(a) wrt a?
58
Let z(x) = -x**3 + 6*x**2 + x - 8. Let t be z(6). Let b be (12/(-15))/(t/5). What is the first derivative of -j - 6 + b + 2*j wrt j?
1
Let m(o) be the first derivative of o**6/6 - 7*o**4/4 - o**2/2 - 4*o + 16. Find the second derivative of m(l) wrt l.
20*l**3 - 42*l
Differentiate 1 - 68*h**2 + 63*h**2 - 7 wrt h.
-10*h
Let i(q) = 3*q - 31. Let y be i(12). Let v(f) be the third derivative of 3*f**2 + 0 - 1/3*f**3 + 1/30*f**6 + 0*f**4 + 0*f + 0*f**y. Differentiate v(k) wrt k.
12*k**2
Let h(c) be the second derivative of -c**6/120 - c**5/20 - c**2 + 5*c. Let o(k) be the first derivative of h(k). What is the third derivative of o(g) wrt g?
-6
Let g(m) = -6 + m + 0*m - 2*m. Let v(t) = -t - 11. Let j(c) = 7*g(c) - 4*v(c). Differentiate j(f) with respect to f.
-3
Let w be 4 + (-21)/12 + -2. Let o(c) be the first derivative of 0*c - w*c**4 + 1/3*c**3 + 0*c**2 - 2. Find the third derivative of o(a) wrt a.
-6
Let y(v) be the third derivative of 1/12*v**5 - 1/2*v**3 + 0 - 3*v**2 + 0*v + 0*v**4. Find the first derivative of y(o) wrt o.
10*o
Let v be 3/9*3*0. Suppose v = -0*f - 3*f + 21. Find the third derivative of 2*h**2 + 11*h**4 - h**4 - f*h**4 - 5*h**4 wrt h.
-48*h
Let v(t) be the third derivative of 11*t**7/105 + 31*t**4/24 + 33*t**2. Find the second derivative of v(m) wrt m.
264*m**2
Let f(q) = 35*q**3 - 7*q**2 - 5*q - 3. Let b(x) = 18*x**3 - 4*x**2 - 3*x - 2. Let t(j) = -5*b(j) + 3*f(j). Find the third derivative of t(i) wrt i.
90
Let j(s) = -9*s**2 + 12. Suppose 8*i = 3*h + 3*i + 30, -12 = -4*i. Let a(g) = 6*g**2 - 8. Let o(r) = h*j(r) - 8*a(r). What is the derivative of o(x) wrt x?
-6*x
Let m(n) = n**3 - 2*n**2 + n + 1. Let v be m(3). Suppose 5*a - 2 - v = 0. Find the third derivative of 0*j**a + 0*j**2 + 3*j**3 + 2*j**2 wrt j.
18
Suppose -3*w + 4*b - 34 = -w, w = 3*b - 20. Let o = 15 + w. Find the first derivative of o + f**4 + f**4 + 0 + f**4 wrt f.
12*f**3
Let r = 16 + -10. Let d be r/(-15) - 4/(-10). Find the second derivative of -2*f - 2*f**3 - f**3 + d*f**3 + 3*f wrt f.
-18*f
Let p(u) = -66*u**5 + 5*u**4 - 43*u**2. Let h(x) = -99*x**5 + 7*x**4 - 65*x**2. Let c(k) = 5*h(k) - 7*p(k). What is the third derivative of c(d) wrt d?
-1980*d**2
Differentiate 0*s**4 - 5*s**4 + s**4 - 4 + s**4 with respect to s.
-12*s**3
Let o be (-44)/(-12) + 4/(-6). Find the second derivative of -4*q**4 - o*q**3 - q + 2*q**3 + q**3 wrt q.
-48*q**2
Let n(s) be the second derivative of -s**5/20 + s**4/24 + 3*s**2/2 - 2*s. Let d(a) be the first derivative of n(a). What is the second derivative of d(g) wrt g?
-6
Let l be (-2)/(-2) - 0/7. Let j be (-1)/(3/(-9)*l). What is the third derivative of -j*v**2 - 4*v**5 - 5*v + 5*v wrt v?
-240*v**2
Let g be 1/(-2 - (-44)/20). Find the second derivative of -3*f**5 + 11*f**2 - 11*f**2 - g*f wrt f.
-60*f**3
Find the second derivative of 0*o**5 - 2*o**5 + 6*o - o wrt o.
-40*o**3
Differentiate 0 - 7*f + 4*f - 4 - 2*f wrt f.
-5
Let j(y) = -4*y**3 + y - 1. Let l be j(1). Let u(x) = x**2 + 2*x - 4. Let h be u(l). Find the third derivative of o**2 + o**h + 3*o**2 - 2*o**2 wrt o.
24*o
Let h(d) = d - 7. Let t = -8 - -15. Let k be h(t). What is the second derivative of 0*w + k*w**2 - 2*w + 2*w**2 wrt w?
4
Let b(p) be the first derivative of -4 - 5/4*p**4 - 4*p + 0*p**3 + 0*p**2. Find the first derivative of b(a) wrt a.
-15*a**2
Suppose -3*i = -3*n + 6, -i + 31 - 3 = 5*n. What is the second derivative of 2*o**2 - 2*o**2 + i*o + 4*o**2 + o wrt o?
8
Let p(h) = 14*h**3 - 4*h**2 - 28*h. Let y(m) = -13*m**3 + 5*m**2 + 27*m. Let x(u) = 5*p(u) + 4*y(u). What is the second derivative of x(k) wrt k?
108*k
Let s(x) be the second derivative of x**7/1260 + x**6/240 + x**4/4 + x. Let f(p) be the third derivative of s(p). What is the second derivative of f(a) wrt a?
4
Let t = 22 - 20. Let y(u) be the first derivative of 1 + 0*u + u**t + 1/2*u**6 + 0*u**5 + 0*u**4 + 0*u**3. Find the second derivative of y(m) wrt m.
60*m**3
Suppose 0*d = -d. Suppose d + 6 = 2*o. What is the second derivative of -k + 0*k**3 - 3*k**o + 0*k wrt k?
-18*k
Find the first derivative of -2*k**3 - 37*k**3 + 5*k**3 + 4 wrt k.
-102*k**2
Let v(h) be the second derivative of h**7/6 + 5*h**4/12 - 7*h. Find the third derivative of v(y) wrt y.
420*y**2
Let w be (-1)/(2/(6 - 0)). Let y be (-8)/6*w/2. Find the third derivative of -i**4 + i**y - i**2 + i**2 wrt i.
-24*i
Let c(l) = -l**3. Let d(n) = n**3 + 2*n**2 - 2. Let a(b) = 3*c(b) + d(b). Let y(z) be the first derivative of a(z). Find the second derivative of y(m) wrt m.
-12
Let d(m) = 4*m. Let f(i) = 4*i**2 - 56*i - 2. Let r(j) = 56*d(j) + 4*f(j). Differentiate r(v) wrt v.
32*v
What is the second derivative of 2*x**5 + x + 4*x**4 - 3*x - 4*x**4 wrt x?
40*x**3
Let s(p) = p**2 + 7*p + 9. Let v be s(-6). Let u be 18/(-15)*(-20)/6. Find the third derivative of -6*o + 4*o**u + 6*o + v*o**2 wrt o.
96*o
What is the third derivative of 2*y**3 + 51*y**4 + 55*y**4 + 47*y**2 - 107*y**4 wrt y?
-24*y + 12
Let p(s) be the first derivative of -5*s**3/3 - s**2/2 + 8. Find the second derivative of p(l) wrt l.
-10
Let i be (2 + -1)/((-2)/(-8)). Let b be i - 2 - (-1 + 0). What is the first derivative of 2*x**b - 1 + 0 - 1 wrt x?
6*x**2
Differentiate -27*r**3 - 51*r**4 - 20 + 18*r**3 + 9*r**3 with respect to r.
-204*r**3
Suppose k + 3 = -4*d, -2*k + 3*d + 6 = k. Let l be (-2 - (-7 - -1))/k. Find the second derivative of -l*q**3 + 3*q - 2*q - 4*q - q wrt q.
-24*q
Let l be ((-6)/8)/(4 - 7). Let h(k) be the first derivative of -k**2 + 0*k + 0*k**3 - 2 + l*k**4. Find the second derivative of h(o) wrt o.
6*o
Suppose 3*r = -h - 2*r + 28, 0 = -5*h + r + 10. What is the third derivative of 7*s**3 - 5*s**3 - h*s**2 - s**3 wrt s?
6
Let u(w) = 3*w - 3. Let p be u(-2). Let q(b) = -4*b**2 + 4*b. Let s(a) = a**2 - a. Let m(t) = p*s(t) - 2*q(t). What is the second derivative of m(f) wrt f?
-2
Let v(b) be the third derivative of -b**9/60480 - b**6/240 + b**5/30 - b**2. Let c(w) be the third derivative of v(w). What is the derivative of c(p) wrt p?
-3*p**2
Let i(g) be the first derivative of -16*g**3/3 + 12*g + 7. What is the first derivative of i(o) wrt o?
-32*o
Let a(b) = 2*b**2 + b - 1. Let d be a(-2). What is the second derivative of 0*p**5 + 4*p**5 + 2*p - p - 2*p**d wrt p?
40*p**3
Let t(q) = -q - 3. Let d be t(-5). Find the second derivative of -2*j - d*j**2 + j**2 + 0*j - 2*j**2 wrt j.
-6
Let d(p) = -p. Let t be d(-2). Let c = 7 - 2. What is the third derivative of 4*j**t + j**c - j**5 - 4*j**6 wrt j?
-480*j**3
Let a(f) = -3*f**3 - 3. Let s = -27 - -10. Let m(t) = -8*t**3 - 8. Let r(d) = s*a(d) + 6*m(d). What is the first derivative of r(o) wrt o?
9*o**2
Let r(t) = 52*t**6 - 6*t**5 + 6*t**4 + 5*t**2 - 6*t - 16. Let b(v) = v**5 - v**4 - v**2 + v. Let q(p) = 6*b(p) + r(p). Find the third derivative of q(z) wrt z.
6240*z**3
Let c(n) = n**2 - 6*n - 6. Let z be c(7). Let o be (z - -5) + (-6)/3. W