**4/4 - 5*q**2 + 54*q. Differentiate n(t) with respect to t.
12*t**2 - 6*t
Find the first derivative of -16*q + 16*q - q**3 + 4 wrt q.
-3*q**2
Let w(j) be the second derivative of -j**5/60 + j**3/2 + j**2 - 2*j. Let o(b) be the first derivative of w(b). Differentiate o(a) wrt a.
-2*a
Let v = -9 + 35. What is the derivative of -37 - o + v + o - 7*o**2 wrt o?
-14*o
Let l(g) = 12*g**4 - 6*g**2 + 18*g. Let k(i) = i**4 - i**2 + i. Let a(y) = -6*k(y) + l(y). Find the second derivative of a(o) wrt o.
72*o**2
Let t be 1/4 + 11/4. Let f(l) = -2*l - 7. Let i be f(-5). Differentiate g**t + 3 - 4 - 4*g**i with respect to g.
-9*g**2
Let t(p) be the first derivative of 3/7*p**7 + 6 + 0*p**4 + 0*p + 0*p**6 + 0*p**5 + 5/3*p**3 + 0*p**2. What is the third derivative of t(h) wrt h?
360*h**3
Let l = 5 - 2. What is the second derivative of -2 - 3*u - l*u**4 + u**4 + 2 wrt u?
-24*u**2
What is the third derivative of -20*b - 16*b**2 - 28*b**4 + 20*b - 23*b**2 wrt b?
-672*b
Let d(y) = -7*y**3 - 7*y + 3 - 3*y**3 + 2*y + 3*y**3. Let c(f) = -10*f**3 - 7*f + 5. Let a(i) = 5*c(i) - 7*d(i). Differentiate a(t) with respect to t.
-3*t**2
Let z(k) be the first derivative of k**6/6 - 5*k**3/6 + k - 2. Let s(o) be the first derivative of z(o). Find the second derivative of s(i) wrt i.
60*i**2
Let v(g) = 2*g - 6. Let y be v(4). What is the first derivative of -k**y + 6 + k**2 + 9*k**4 wrt k?
36*k**3
Let q(d) be the third derivative of -d**8/48 + d**4/4 + 7*d**2. Find the second derivative of q(m) wrt m.
-140*m**3
Let a(k) be the second derivative of -k**5/20 + 3*k**4/4 - 3*k. Find the third derivative of a(f) wrt f.
-6
Let y(g) be the third derivative of g**7/21 - 7*g**5/60 + 31*g**2. What is the third derivative of y(a) wrt a?
240*a
Let c(a) be the first derivative of 0*a**2 + 1/3*a**6 + 0*a**4 - a**3 + 0*a + 9 + 0*a**5. Find the third derivative of c(v) wrt v.
120*v**2
What is the second derivative of 0*c + 2*c - 7*c**3 - 3*c - 2*c wrt c?
-42*c
Let i(t) be the first derivative of t**7/35 + 5*t**4/12 + 3*t**2 + 9. Let b(n) be the second derivative of i(n). Find the second derivative of b(r) wrt r.
72*r**2
Let r(d) be the third derivative of d**7/5 + 19*d**4/24 - 9*d**2. Find the second derivative of r(v) wrt v.
504*v**2
What is the third derivative of 80*z**2 - z - 94*z**2 - 20*z**4 + z wrt z?
-480*z
Let p(r) = -r**2 - 4*r - 2. Let h be p(-2). Suppose -l = -h*l + 4. Find the second derivative of -2*a**4 + 2*a**4 - 2*a**l + 2*a wrt a.
-24*a**2
Suppose 0 = 3*f - 4*o - 13, -17 = -5*f + 5*o + 3. Suppose 3*t + f = 9. What is the first derivative of 1 + 4*n - 4*n - t*n**4 wrt n?
-8*n**3
Suppose 4*k - 3*r = 12, 5*k - 3*k = 2*r + 8. Find the second derivative of 3*c + 2*c + k*c - 2*c - 4*c**5 wrt c.
-80*c**3
Let m(a) be the first derivative of -a**8/112 - a**5/60 - a**2 + 1. Let y(j) be the second derivative of m(j). Find the third derivative of y(n) wrt n.
-180*n**2
Let l(u) = 31*u**4 + u**3 - u**2 - u + 25. Let s(m) = -m**3 + m**2 + m. Let r(p) = l(p) + s(p). Differentiate r(n) wrt n.
124*n**3
Let s(h) be the third derivative of -9*h**7/70 - 13*h**3/3 + 25*h**2. What is the first derivative of s(k) wrt k?
-108*k**3
Differentiate -123*x**3 - x + 14 + 99*x**3 + x wrt x.
-72*x**2
Let p(b) = -5*b**3 - 8. Let y(s) be the first derivative of 4*s**4 + 24*s + 7. Let l(c) = -7*p(c) - 2*y(c). What is the derivative of l(h) wrt h?
9*h**2
What is the derivative of 2 - 6*t**2 - 3 - 5 wrt t?
-12*t
Let z(j) be the third derivative of j**6/24 + j**5/20 - 10*j**2. What is the third derivative of z(s) wrt s?
30
Suppose -2*x + 4*b - 5*b + 7 = 0, -x - 5*b = -17. Differentiate q**3 - 3*q**2 + x + 3*q**2 with respect to q.
3*q**2
Let h = -38/3 - -13. Let l(v) be the first derivative of 1 + h*v**3 + 0*v - 1/4*v**4 + 0*v**2. What is the third derivative of l(t) wrt t?
-6
Let v(s) be the third derivative of -3*s**8/56 - s**5/5 + 12*s**2. What is the third derivative of v(o) wrt o?
-1080*o**2
Let g(d) = -d**4 - d**3 + d**2 + d + 1. Let z(x) = 7*x**4 + 6*x**3 - 17*x**2 - 6*x - 6. Let f(h) = -6*g(h) - z(h). Find the third derivative of f(y) wrt y.
-24*y
Differentiate -203*k**4 + 201*k**4 + 4 + 5 wrt k.
-8*k**3
Let h(b) = -b**2 + 8*b - 4. Let a be h(7). Differentiate -5*u**3 - 3 + 5*u**a - 2*u**3 with respect to u.
-6*u**2
Let o(q) be the first derivative of 0*q + 2/3*q**3 + 0*q**2 + 0*q**4 + 2 - 3/5*q**5. Find the third derivative of o(i) wrt i.
-72*i
Let b(o) = -o**3 + 8*o**2 + 4*o - 12. Let u be b(8). Suppose 5*h - u = -0*h. What is the second derivative of -h*k**4 + 2*k**4 + 3*k - k wrt k?
-24*k**2
Let o(l) = -l**3 + 3*l - 1. Let q be o(2). Let k be q/12 - 27/(-12). What is the third derivative of 2*c**2 + c**4 + 2*c**k - 2*c**2 wrt c?
24*c
Let s be 210/27 - 2/(-9). Let m = s - 6. Find the second derivative of -1 + 2*c**2 + 1 + m*c wrt c.
4
What is the first derivative of -31 - 5*z + 17 + 18*z wrt z?
13
Let z(j) = 23*j**6 - 5*j**5 + 6*j**2 + 5. Let x(c) = 24*c**6 - 6*c**5 + 7*c**2 + 6. Let m(v) = 5*x(v) - 6*z(v). What is the third derivative of m(w) wrt w?
-2160*w**3
Let x be 6/(-3) + 0 + 4. What is the first derivative of 0*y**3 + x + 2*y**3 + 0 wrt y?
6*y**2
Let a = 1 - -2. Suppose -l - 13 = a*f - 6, -3*f - 17 = -l. What is the second derivative of 8*g - 7*g + 0*g**l - g**5 wrt g?
-20*g**3
What is the third derivative of 10*l**6 - l**6 + 2*l - 43*l**2 - l + l**6 wrt l?
1200*l**3
Let i be -5 + 3 + (-1 - -1). Let a(g) = -6*g**4 - 9*g**2 - 3. Let d(w) = -w**4 - w**2. Let t(y) = i*a(y) + 18*d(y). Differentiate t(l) with respect to l.
-24*l**3
Let g(k) be the third derivative of -k**6/60 + k**5/6 - 2*k**2. Find the third derivative of g(f) wrt f.
-12
Let r be -2 - (2 - (-1 + 2)). Let s = r + 7. Find the second derivative of -y**4 + s*y**2 - 4*y**2 + 3*y wrt y.
-12*y**2
Let k = 3 + 3. What is the third derivative of -2*a**2 + a**k + 4*a**2 + a**2 - 2*a**2 wrt a?
120*a**3
Suppose 0*s + s - 19 = 0. Suppose -2*l + 5*l - s = -2*t, 5*t - 25 = 0. What is the second derivative of 3*a**5 + 5*a**4 - l*a - 5*a**4 + 0*a**4 wrt a?
60*a**3
Differentiate -15*x**2 - 18*x**2 + 1 + 4 - 33 wrt x.
-66*x
Let l(r) be the first derivative of 0*r**5 + 5/2*r**2 + 0*r + 1 + 0*r**4 + 1/2*r**6 + 0*r**3. Find the second derivative of l(s) wrt s.
60*s**3
Let h(g) be the third derivative of -g**6/24 + g**5/60 + 8*g**2. What is the third derivative of h(n) wrt n?
-30
Suppose 4*b = -3*b + 14. Find the third derivative of 3*o**3 + 5*o**2 - 2*o**3 + b*o**3 wrt o.
18
Let g(l) be the second derivative of -l**6/180 + l**5/40 - l**3/2 - l. Let u(f) be the second derivative of g(f). Find the second derivative of u(s) wrt s.
-4
Suppose 0 = 3*n + 15, -3*n - 15 = -u - n. What is the second derivative of -7*z**2 + 3*z**2 - u*z + 0*z - 2*z**2 wrt z?
-12
Let s(v) be the first derivative of -v**6/120 - v**5/20 + 3*v**2/2 - 1. Let z(r) be the second derivative of s(r). Find the third derivative of z(b) wrt b.
-6
Let q(v) be the first derivative of 5*v**4/12 - v**3/3 - 3*v - 5. Let l(r) be the first derivative of q(r). What is the second derivative of l(n) wrt n?
10
What is the second derivative of 14*f**5 + 160*f**2 - 36*f - 160*f**2 wrt f?
280*f**3
Differentiate -5 - 21*q + 12*q + 11*q with respect to q.
2
Let d(m) be the second derivative of 3*m**5/20 - 2*m**3/3 - m. What is the second derivative of d(q) wrt q?
18*q
Let a = 14 - 14. Find the third derivative of 0 + 2*w**2 + 4*w**3 + 0 + a wrt w.
24
Find the second derivative of 17*s**3 + 3*s - 2*s**3 + 3*s wrt s.
90*s
What is the second derivative of c**5 + 455 - 21*c - 455 - 3*c**5 wrt c?
-40*c**3
Let b(d) = -16*d - 3. Let h(u) = 33*u + 5. Let r(x) = -7*b(x) - 3*h(x). What is the derivative of r(w) wrt w?
13
Let r(n) be the second derivative of -n**6/360 - n**4/12 + n**3/2 - 4*n. Let j(k) be the second derivative of r(k). Differentiate j(c) wrt c.
-2*c
Let y(d) = 3*d - 2*d - 1 + 2 + 2. Let g be y(-3). Find the third derivative of g*o**3 + 6*o**2 - 2*o**2 - o**3 wrt o.
-6
Let m(d) be the third derivative of -43*d**6/120 - 17*d**5/30 + 32*d**2. What is the third derivative of m(i) wrt i?
-258
Suppose -3*y = 2*y + 30. Let x(q) = -q**2 + 3*q - 6. Let w(i) = i**2 - 3*i + 5. Let d(m) = y*w(m) - 5*x(m). What is the second derivative of d(f) wrt f?
-2
Let d(u) be the second derivative of -3*u**5/10 - 3*u**2