erivative of -3*m**2 + s*m**2 - m**5 + 2*m wrt m.
-20*m**3
Find the second derivative of -23*b + 19*b + 11*b**2 + 6*b**2 wrt b.
34
Let z(d) = -d**4 + d**3 + d**2 - d + 1. Let v(t) = -24*t**6 + t**4 - t**3 + t**2 - 1. Let s(m) = -v(m) - z(m). Find the third derivative of s(q) wrt q.
2880*q**3
Let z(b) = -b**3 - 5*b**2 + 12*b - 11. Let x be z(-7). Let p(d) be the second derivative of 0 + 1/6*d**x - 2*d**2 + 3*d. What is the derivative of p(j) wrt j?
1
Let m(f) be the second derivative of -f**4/6 - 27*f**2 + 16*f. Find the first derivative of m(w) wrt w.
-4*w
Let t be 44/10 - 2/5. Find the second derivative of y**5 - 2*y - y + t*y + 2*y**5 wrt y.
60*y**3
Let l(n) be the third derivative of -n**7/35 + 4*n**3/3 + 9*n**2. What is the first derivative of l(q) wrt q?
-24*q**3
Suppose -3*h = -0*h - 12. Suppose 0 = -h*w, -w = -2*i + i + 4. Differentiate 2 - m**4 - i*m**4 + 2*m**4 with respect to m.
-12*m**3
What is the third derivative of 17*b**6 + 13*b**2 + 4*b**5 + b**2 - 4*b**5 wrt b?
2040*b**3
Let a(p) = -5*p**3 - 11*p**2. Let k(h) = 0*h + 0*h + 5*h**2 + 2*h**3 + 0*h**2. Let q(z) = -3*a(z) - 7*k(z). Find the third derivative of q(f) wrt f.
6
Differentiate 2*b**2 - 172 + 193 - 3*b**2 with respect to b.
-2*b
What is the second derivative of -244*x**3 + 2*x + 4*x + 247*x**3 wrt x?
18*x
Let h(y) be the second derivative of 0 + 0*y**3 - 2*y + 0*y**5 - 1/12*y**4 + 0*y**2 + 0*y**6 - 2/21*y**7. Find the third derivative of h(q) wrt q.
-240*q**2
What is the derivative of -18*j + 5*j - 11 + 1 + 5 wrt j?
-13
Let k be (-10)/(-6) + (-3)/(-9). Differentiate 0 + k + 2*z - 5 + z with respect to z.
3
What is the third derivative of 351*t**2 - 353*t**2 - 2*t**4 + 20 + 10*t**4 wrt t?
192*t
Let g(r) be the first derivative of 5*r**4/4 + 5*r**3 + 9. Find the third derivative of g(h) wrt h.
30
Suppose 4*m = 3*p + p - 44, -2*m = 0. Find the third derivative of p*j**2 - 6*j**2 - 5*j**5 + 0*j**5 + 0*j**5 wrt j.
-300*j**2
Find the third derivative of -2*b**3 - 20*b**2 - 93 - 20*b**5 + 93 wrt b.
-1200*b**2 - 12
What is the third derivative of 5*z**2 + 0*z**4 - 2*z**4 - 6*z**4 wrt z?
-192*z
Let t(d) be the second derivative of d**6/40 - d**3/2 + d**2/2 + d. Let w(i) be the first derivative of t(i). Find the first derivative of w(u) wrt u.
9*u**2
Suppose 0 = 5*s + 5 - 10. Find the first derivative of -v - 2*v + s + 2*v wrt v.
-1
Let w(c) = -3*c - 2. Let f(x) = 6*x + 3. Let p(k) = -2*f(k) - 5*w(k). Differentiate p(o) with respect to o.
3
Let l(f) = 229*f**4 - 237*f**2 - 9*f. Let y(z) = -57*z**4 + 59*z**2 + 2*z. Let t(j) = -2*l(j) - 9*y(j). Find the third derivative of t(v) wrt v.
1320*v
What is the second derivative of -6*j + 4*j + 4*j**2 + 0*j wrt j?
8
Let l = -1 - -4. Let o be l/(-15) + 26/5. What is the second derivative of 2 + 5*c**o - 2 - c**5 + 4*c wrt c?
80*c**3
Let i(b) = b**3 - 9*b**2 + 8*b + 4. Let u be i(8). What is the derivative of 3*r**2 + u + 2*r**2 - 2*r**2 wrt r?
6*r
Let i(p) = p**3 + 5*p**2 + 4*p + 2. Let t be i(-2). Let q = -3 + t. What is the second derivative of 2*u**3 + u - 3*u + 0*u**q wrt u?
12*u
Let b(d) be the second derivative of -7*d**6/30 + 3*d**2/2 + 4*d. What is the derivative of b(n) wrt n?
-28*n**3
Suppose -q - 18 = -2*o - 6*q, -4*q = 0. Find the third derivative of -9 + 5*c**4 + 4*c**2 + o wrt c.
120*c
Suppose 4*q + q = 25. What is the second derivative of 3*c**5 + c**q - 3*c**5 + c wrt c?
20*c**3
Let i = -3 + 6. What is the second derivative of -3*v**3 + 2*v**2 - 5*v - v**i - 2*v**2 wrt v?
-24*v
Let y(s) = -79*s + 31. Let r(z) = 39*z - 16. Let b(q) = 5*r(q) + 2*y(q). Differentiate b(k) wrt k.
37
Let z = -1 + 3. What is the derivative of 2 + 0*r - z*r**2 + 0*r + 0*r wrt r?
-4*r
Let p(x) = x**3 + 10*x**2 - x - 6. Suppose 0*k - 30 = 3*k. Let a be p(k). What is the first derivative of -5*j**4 - 4 + 2*j**a + 3 wrt j?
-12*j**3
Suppose 6 = a + 4. Let t(j) be the first derivative of 0*j - 1 - 1/5*j**5 + 1/2*j**a + 0*j**4 + 0*j**3. What is the second derivative of t(k) wrt k?
-12*k**2
Let g(n) = -4*n**4 - 17*n**3 - 29. Let u(r) = r**4 + 6*r**3 + 10. Let s(t) = -6*g(t) - 17*u(t). Differentiate s(y) wrt y.
28*y**3
Let l(d) be the second derivative of d**4/3 - 11*d**2/2 + d. What is the derivative of l(o) wrt o?
8*o
Let d(n) = -63*n**4 - 36*n**3 - 54*n**2 - 36*n + 36. Let g(j) = j**4 + j**3 + j**2 + j - 1. Let p(c) = -d(c) - 36*g(c). Find the third derivative of p(v) wrt v.
648*v
Let s(y) be the third derivative of -y**7/280 + y**5/120 - y**3/2 + 3*y**2. Let j(v) be the first derivative of s(v). Find the second derivative of j(o) wrt o.
-18*o
Let b(m) be the first derivative of -15*m**4/4 - 13*m - 29. Differentiate b(j) wrt j.
-45*j**2
Let b be (-4)/(-6)*(0 - -3). Let l(s) be the first derivative of 1/2*s**2 - s + b. Find the first derivative of l(h) wrt h.
1
Suppose 0 = -4*j + 14 - 2. Let n(u) be the second derivative of -u**2 + 0*u**j - 1/6*u**4 - 2*u + 0. What is the derivative of n(f) wrt f?
-4*f
Let j(d) = -d**2 + 3*d + 5. Suppose 34 = -r - 0. Let h(z) = 7*z**2 - 17*z - 30. Let n(x) = r*j(x) - 6*h(x). Differentiate n(l) with respect to l.
-16*l
Let q(k) = -k - 8. Let x be q(-12). Differentiate -x + 6*a - 2*a + 1 wrt a.
4
Let b(l) be the third derivative of -l**7/210 + l**5/60 - 9*l**3/2 + 38*l**2 - l. Find the first derivative of b(d) wrt d.
-4*d**3 + 2*d
Let v(m) = m**4 - m**2 - 1. Let i(g) = 7*g**4 + 7*g**2 - 4. Let h(p) = -i(p) + 4*v(p). What is the third derivative of h(x) wrt x?
-72*x
Let l(z) be the third derivative of 4*z**7/15 + 11*z**5/60 - 2*z**2 + 2. Find the third derivative of l(i) wrt i.
1344*i
Let g(i) = -i - 1. Let l be g(-3). Suppose 2*d = 9 - 3. What is the second derivative of -d*a**4 + 6 - a + l*a**4 - 6 wrt a?
-12*a**2
Let m = 101 - 71. Suppose -m = -0*d - 5*d. Find the third derivative of -j - j**2 + j + j**d wrt j.
120*j**3
Let s = -14 + 2. Let m be 3/4 - 51/s. What is the second derivative of 0*z - 3*z**5 + 2*z**m - z wrt z?
-20*z**3
Let q be 0*(0 - 2/(-4)). Let n(m) be the second derivative of 1/10*m**5 + 2*m + q*m**3 + 0*m**2 + 0 + 1/12*m**4. What is the third derivative of n(s) wrt s?
12
Let x be (6/9)/((-2)/(-6)). Find the second derivative of 5*u**3 + x*u - 5*u**3 + u**5 wrt u.
20*u**3
What is the third derivative of 4*b**3 - 5*b**6 - 5*b**6 - 3*b**3 - 64*b**2 + 2*b**3 wrt b?
-1200*b**3 + 18
Let d(l) be the first derivative of -2 - 1/12*l**4 + 0*l**3 + 2*l - 1/2*l**2. Let o(p) be the first derivative of d(p). Differentiate o(t) wrt t.
-2*t
Let b(r) be the second derivative of r**5/4 + 5*r**2/2 + 7*r. What is the derivative of b(a) wrt a?
15*a**2
Suppose 0 = 3*p - 12, -6 = 2*r - 7*r + p. What is the third derivative of -2*q**3 - q**2 + 2*q**r + q**2 wrt q?
-12
Let y be (-4)/14 - 120/(-28). Find the third derivative of o**4 + 3*o**4 - 3*o**2 - 7*o**y wrt o.
-72*o
Let l = -133 - -668/5. Let k(m) be the first derivative of -2/3*m**3 + 0*m**2 + 3 + 0*m + 0*m**4 - l*m**5. Find the third derivative of k(i) wrt i.
-72*i
Let r(f) = -2*f**5 + 5*f**3 - 9*f**2 + 5. Let z(m) = m**5 - m**3 + m**2 - 1. Let b(c) = -r(c) - 5*z(c). What is the third derivative of b(s) wrt s?
-180*s**2
Find the second derivative of -s**3 - 6*s**3 - 2*s - 5*s + 3*s wrt s.
-42*s
Let f(p) be the third derivative of 4*p**2 + 0 + 1/12*p**4 + 2/105*p**7 + 0*p**6 + 0*p + 0*p**3 + 0*p**5. What is the second derivative of f(t) wrt t?
48*t**2
Find the second derivative of 10*v**4 - 12*v**4 - v + 9*v - 5*v**4 wrt v.
-84*v**2
Let u(m) = -m**2 - 7*m - 6. Let a be u(-6). Suppose -2*j + 6 = a, -3*f + 4*j = -4*f + 16. What is the derivative of 1 + 0*v**4 + 1 + v**f wrt v?
4*v**3
Let s be -1*(-3)/(-3) - -3. Let j = 2 + 1. What is the second derivative of y**j - s*y + y + 0*y wrt y?
6*y
Differentiate -7*r - 7 + 2*r**3 - 7*r**3 + 7*r with respect to r.
-15*r**2
Let h(a) be the first derivative of 3*a**7/7 + 7*a**3/3 - 4. What is the third derivative of h(t) wrt t?
360*t**3
Let o(t) be the third derivative of 5*t**8/336 + 5*t**4/24 - 3*t**2. What is the second derivative of o(l) wrt l?
100*l**3
What is the first derivative of 3*o + 20*o + 2*o + 31 - 5*o wrt o?
20
Let d(o) = o**2 + 4*o - 7. Let l be d(-5). Let c = l + 4. What is the first derivative of c*y - 2 + 0 + 0 wrt y?
2
Let n(g) = g**2 - 6*g - 4. Suppose -5*p + 21 = -2*p. Let h be n(p). Find the second derivative of 