m(i) - 6*z(i). What is the first derivative of s(y) wrt y?
-18*y
Let r be 5 + -1*(3 - 0). What is the first derivative of 5*j**4 - 2*j**4 - r - j**3 + j**3 wrt j?
12*j**3
Suppose 0 = -2*m - 0*m - 8. Let a = m - -6. Find the third derivative of 5*f**3 - a*f**2 - f**3 - 2*f**3 wrt f.
12
Let x(j) be the third derivative of -j**7/105 + j**3/2 - 3*j**2. Differentiate x(s) wrt s.
-8*s**3
Let n(p) be the third derivative of 4*p**7/105 - 7*p**3/6 + 6*p**2. What is the first derivative of n(l) wrt l?
32*l**3
What is the first derivative of 2 - 12 - 3*p**2 - 6*p**2 - 4*p**2 wrt p?
-26*p
What is the second derivative of 29*j**3 - 3*j**3 + 2*j**3 + 13*j wrt j?
168*j
Suppose 6*m - 3*m = 12. Suppose y + 4*d + m = -y, 5*y + 4*d - 2 = 0. Differentiate 1 - 4 + q**y + 1 with respect to q.
2*q
Let w be (-3)/(-12) - 70/(-8). Find the third derivative of -w*m**5 + 14 - 7*m**2 - 14 wrt m.
-540*m**2
Find the third derivative of -10*a**6 - 48*a**2 - 38*a**2 + 71*a**2 wrt a.
-1200*a**3
Let r(i) = -i + 1. Let a(v) = -v**2 + 5*v - 16. Let x(z) = -a(z) - 5*r(z). What is the derivative of x(n) wrt n?
2*n
Let s be 1 - 2 - (-18)/3. What is the derivative of -4 - 2 + 3 - s*d**3 wrt d?
-15*d**2
Let o(u) be the first derivative of 2*u**3 + u - 4. Differentiate o(p) with respect to p.
12*p
Suppose 3*i + 3*x = 0, x + 20 = i + 3*i. Suppose -32 = -3*z + 4*p, -i*z + 6*z = -2*p - 2. What is the second derivative of 3*s + 2*s**4 + s + 2*s**z wrt s?
48*s**2
Let b(g) be the third derivative of -4*g**5/15 - g**4/3 - 19*g**2 + 2*g. Find the second derivative of b(p) wrt p.
-32
Let b(l) = -l**3 + l**2 - l - 1. Let u = 0 - 1. Let z be b(u). Differentiate -1 + 0*d + 0*d + d**z with respect to d.
2*d
Let t(i) be the second derivative of i**4/6 + 2*i**3 - 4*i. What is the second derivative of t(l) wrt l?
4
Differentiate -8 - 45*x + 23*x + 0 wrt x.
-22
Let a(r) = -4*r**2 + 8*r + 23. Let o(t) = -3*t**2 + 4*t + 1. Let g be o(2). Let s(w) = w**2 - 3*w - 8. Let c(i) = g*a(i) - 8*s(i). Differentiate c(h) wrt h.
8*h
Let g(i) = -i**2 + 9*i - 8. Let c be g(7). What is the second derivative of -8*n - c*n**4 - n + 8*n wrt n?
-72*n**2
Suppose 5*f = 5*s + 5, 5*f - s = -0*s + 13. What is the derivative of -4 + 5*c**f + 0 - 2*c**3 wrt c?
9*c**2
Let f = -2 - -4. What is the first derivative of f*n**4 + 1 + 1 - 5*n**4 wrt n?
-12*n**3
Let y(v) = 10*v**3 + 6*v - 1. Let r(s) = -21*s**3 - 13*s + 2. Let c be (-11)/2 + 2/(-4). Let h(i) = c*r(i) - 13*y(i). Differentiate h(f) wrt f.
-12*f**2
Let k(d) be the second derivative of -d**6/10 - 7*d**3/6 - 5*d. What is the second derivative of k(r) wrt r?
-36*r**2
Let t(q) = q**3 - 2*q**2 + 1. Let a(g) = 7*g**3 - 13*g**2 + 7. Let b(v) = -6*a(v) + 39*t(v). Differentiate b(c) with respect to c.
-9*c**2
Let x(a) = -6*a**2 + 11. Let l(u) = -7*u**2 + 12. Suppose -5*c = -v + 28, -5*c - 16 = v + 2*v. Let w(y) = c*l(y) + 6*x(y). Differentiate w(g) wrt g.
-2*g
Let h be 6*6/(-27)*-6. Suppose -2*r + 4*u = h, 0*u + 3*u - 5 = 2*r. What is the third derivative of -8*v + 8*v + 4*v**5 - 4*v**r wrt v?
240*v**2
Let t(x) be the third derivative of 7*x**6/120 - 7*x**5/60 + 19*x**2. Find the third derivative of t(v) wrt v.
42
Let v = -5 + 10. Let c(y) be the third derivative of 0*y**3 + 0 + 2*y**2 - 1/12*y**4 + 1/60*y**6 + 0*y + 0*y**v. What is the second derivative of c(j) wrt j?
12*j
Let x(s) = -2*s**3 + s - 4. Suppose -10 = -6*o + o. Let y(t) = 3*t**3 + 0 - o*t**3 + 1. Let l(f) = x(f) + 4*y(f). Find the second derivative of l(g) wrt g.
12*g
Let j(y) be the second derivative of -y**4/12 + 11*y**3/6 - 5*y**2 + 34*y. What is the first derivative of j(x) wrt x?
-2*x + 11
Let f(y) be the third derivative of -3*y**2 - 1/6*y**3 + 0 + 0*y + 1/12*y**4. What is the first derivative of f(o) wrt o?
2
Let c = 4 - 11. Let k be 4/(-14) + (-30)/c. Differentiate 3*p**4 - 3*p**4 + 1 - 2*p**k with respect to p.
-8*p**3
Let c(p) be the second derivative of p**7/210 + p**4/6 + 3*p**2/2 + p. Let q(d) be the first derivative of c(d). What is the second derivative of q(m) wrt m?
12*m**2
Let h(x) = x**3 + 8*x**2 + 5*x - 7. Let b be h(-6). Let o(v) = -30*v - 5. Let d(g) = -5*g - 1. Let q(l) = b*d(l) - 6*o(l). Differentiate q(k) wrt k.
5
Let a be -3 + (6 - -2) + -2. What is the second derivative of -3*r**2 + 0*r + 3*r + 4*r + a*r wrt r?
-6
Let o(a) be the third derivative of a**7/280 + a**6/72 - a**3/2 + 2*a**2. Let l(q) be the first derivative of o(q). What is the third derivative of l(t) wrt t?
18
Let z(m) = 24*m - 15. Let v(r) = 119*r - 76. Let a(d) = 2*v(d) - 11*z(d). Differentiate a(h) with respect to h.
-26
Let o(r) = -2*r - 3 + 3 - r**2 - 3*r**3. Let d(n) = 3 + 2*n**3 - 3 - 3*n**3 - n. Let f(m) = -2*d(m) + o(m). What is the third derivative of f(x) wrt x?
-6
Let p(j) be the third derivative of j**5/30 + 5*j**3/6 - 3*j**2. What is the derivative of p(y) wrt y?
4*y
Let l(g) = 3*g**4 + 8*g**2 + 4*g - 4. Let s(t) = -9*t**4 - 23*t**2 - 11*t + 11. Let p(r) = -11*l(r) - 4*s(r). What is the third derivative of p(v) wrt v?
72*v
Let x(g) be the second derivative of g**10/15120 - g**7/840 - g**4/6 + g. Let t(v) be the third derivative of x(v). Find the third derivative of t(w) wrt w.
120*w**2
Let t(d) be the second derivative of d**5/10 - 39*d**2/2 - 35*d. Differentiate t(w) with respect to w.
6*w**2
Suppose 3*h + k = 27, h - 2*k - 2*k = 9. Differentiate h*g**3 + 4*g**4 - 9*g**3 - 5 with respect to g.
16*g**3
Let r(p) = p - 1. Let s(h) = 10*h**3 + h**2 - 2*h + 2. Let b(w) = -2*r(w) - s(w). Find the third derivative of b(n) wrt n.
-60
Suppose -4*k = -24 + 4. Suppose -6*o = -k*o - 3. Find the third derivative of 0*c**2 + 6*c**3 - 9*c**o + 4*c**2 wrt c.
-18
Let m(r) be the second derivative of -r**7/70 - r**3/2 + 5*r**2/2 + r. Let h(f) be the first derivative of m(f). What is the derivative of h(p) wrt p?
-12*p**3
Let p(a) be the third derivative of 0 + 6*a**2 + 1/24*a**6 + 1/4*a**4 + 0*a + 0*a**5 + 0*a**3. What is the second derivative of p(z) wrt z?
30*z
Let r(l) be the second derivative of 0*l**5 + 0 + 2*l + 1/15*l**6 - l**2 + 0*l**4 + 0*l**3. Find the first derivative of r(k) wrt k.
8*k**3
What is the third derivative of 7*x**2 - 2*x**2 - 10*x**6 + 3*x**2 wrt x?
-1200*x**3
What is the derivative of -6 + 4*a**4 + 9 + 11*a**4 - 2*a**4 wrt a?
52*a**3
What is the first derivative of 12*k + 2 - 14*k + 4*k wrt k?
2
Differentiate -5 - 1 + h**4 + h**4 wrt h.
8*h**3
Let d(l) = 2*l - 2. Let x be d(3). Find the second derivative of -2*h**x + 2*h**4 - h**4 - 3*h wrt h.
-12*h**2
Suppose -4*x - j = 2, 0 = -2*x - 0*x - j. Let f be (-1 + 2 + x)/(-2). What is the second derivative of -2*d + 3*d + 0*d**2 + f*d**2 + 4*d**4 wrt d?
48*d**2
Let n = 10 + 2. What is the third derivative of -n*s**3 + 4*s**6 + 12*s**3 + 4*s**2 wrt s?
480*s**3
Let a(h) be the first derivative of 0*h**3 + 4 + 2*h + 0*h**2 - 1/5*h**5 + 0*h**4. Differentiate a(m) with respect to m.
-4*m**3
Let z = 6 + -2. Let p = z + 0. Find the first derivative of -2 - p + 3 - i**2 wrt i.
-2*i
Let i(m) be the second derivative of m**7/210 - m**5/20 - m**2/2 - m. Let z(a) be the first derivative of i(a). Find the third derivative of z(u) wrt u.
24*u
Let a(b) = -13*b**2 - 11*b + 6. Let o(n) = -7*n**2 - 6*n + 3. Let d be (1 - -2)*(-22)/(-6). Let c(w) = d*o(w) - 6*a(w). What is the derivative of c(j) wrt j?
2*j
Let m(x) = -x**4 + x**3 - x**2 - x + 1. Let p(c) = 2*c**4 + c**3 + c**2 - c + 1. Let w(f) = -m(f) + p(f). What is the third derivative of w(a) wrt a?
72*a
Let z(j) be the first derivative of -j**7/105 - j**3/6 + j**2/2 - 3. Let l(c) be the second derivative of z(c). What is the first derivative of l(x) wrt x?
-8*x**3
Let g(a) = a**3 + 2*a**2 - 4*a + 1. Let p be g(-3). Suppose -p*z = z - 10. Find the first derivative of -z + 2*w + 3 - 3 wrt w.
2
Differentiate 4*b**2 + 30*b**2 + 31 - 2*b**2 with respect to b.
64*b
Let n(s) be the first derivative of -23*s**3/3 - 30*s + 25. Differentiate n(l) with respect to l.
-46*l
Let j(n) be the first derivative of n**8/1680 + n**5/40 - n**3 + 3. Let d(w) be the third derivative of j(w). What is the second derivative of d(k) wrt k?
12*k**2
Let a(c) = -c**3. Let o(j) = -4*j**3 + 15. Let d(p) = 5*a(p) - o(p). Differentiate d(q) with respect to q.
-3*q**2
Let z(d) = -5*d**3 - 2*d + 14*d**4 - 3*d + 2 + 2 - 12*d**4. Let y(k) = -k**3 - k. Let s(h