- 2*c = -6*c - d, 5*c = 2*o - 12. Find the first derivative of 4*t - t - 2*t + o wrt t.
1
Let y(b) be the second derivative of 0*b**2 + 0*b**4 + 3*b + 1/4*b**5 + 5/6*b**3 + 0. What is the second derivative of y(p) wrt p?
30*p
Let q(v) = v. Let g be q(4). Find the second derivative of 2 + 2*s + 1 - 3 - s**g wrt s.
-12*s**2
What is the second derivative of 21*o + 22*o**4 - 4*o - 10*o**4 + 4*o wrt o?
144*o**2
Let w(v) be the second derivative of 3*v**6/10 + 5*v**3/6 - 3*v. What is the second derivative of w(c) wrt c?
108*c**2
Let i(n) = n**5 - n**4 + n**2 + n - 1. Let f(c) = -10*c**5 + c**4 - 6*c**2 - c + 1. Let z(j) = -f(j) - i(j). Find the third derivative of z(k) wrt k.
540*k**2
Suppose 0 = -4*b - 2*c, 0 = b - 0*c + 4*c. Differentiate -g**4 - 2*g**4 - 2 + 0*g**4 + b with respect to g.
-12*g**3
Let u(p) be the third derivative of 4*p**2 + 1/30*p**6 + 0*p**4 + 0*p**3 + 1/30*p**5 + 0 + 0*p. Find the third derivative of u(c) wrt c.
24
Let i(c) = 14*c**2 + 3*c. Let q(g) = 13*g**2 + 2*g. Let x(j) = -5*i(j) + 6*q(j). What is the second derivative of x(l) wrt l?
16
What is the second derivative of -20*c + 16*c + 19*c + 15*c - 30*c**4 wrt c?
-360*c**2
Let p(o) = 6*o + 11*o + 0*o**2 - 3*o - 3*o**2 - 8. Let d(r) = 2*r**2 - 9*r + 5. Let g(h) = 8*d(h) + 5*p(h). Find the second derivative of g(j) wrt j.
2
Let a(l) = -l**2 - 8*l - 1. Let o be a(-7). What is the third derivative of 0*i**2 - 2*i**2 - 2*i**2 - i**2 - o*i**6 wrt i?
-720*i**3
Let w(x) be the first derivative of -x**7/840 - 5*x**4/24 + x**3 + 7. Let f(o) be the third derivative of w(o). Differentiate f(d) with respect to d.
-3*d**2
Let w(m) be the third derivative of m**2 + 0*m + 0 + 1/20*m**5 + 0*m**4 - 1/3*m**3. Find the first derivative of w(i) wrt i.
6*i
Let u(j) be the first derivative of -3/5*j**5 + 0*j + 2/3*j**3 + 0*j**4 + 0*j**2 - 3. What is the third derivative of u(k) wrt k?
-72*k
Find the third derivative of -z**5 + 23*z**2 + 118 - 9*z**5 - 118 wrt z.
-600*z**2
Let o(f) be the second derivative of f**7/840 + f**4/8 + f**3/6 - f. Let t(d) be the second derivative of o(d). What is the derivative of t(z) wrt z?
3*z**2
Let n(h) = h + 5. Let q(w) = 2*w + 10. Let j(v) = 5*n(v) - 2*q(v). What is the first derivative of j(s) wrt s?
1
Let m = 0 + 3. Suppose 0 = 2*q - 3*u + 2 + 1, -3*q - 2*u + 15 = 0. What is the third derivative of -g**q - 2*g**3 + 4*g**m + 3*g**2 wrt g?
6
Let y(m) = -5*m**3 + 3*m - 6. Let l(z) = 15*z**3 - 8*z + 17. Let t(p) = -6*l(p) - 17*y(p). Find the second derivative of t(r) wrt r.
-30*r
Let f(q) be the third derivative of q**8/112 + q**4/6 - 5*q**2. Find the second derivative of f(w) wrt w.
60*w**3
Let t(h) = h. Let u be t(6). Suppose -8 = 4*x - 28. Find the third derivative of -a**2 - a**x + a**5 + 3*a**u wrt a.
360*a**3
Suppose 5*z - 12 - 3 = 0. Find the third derivative of -2 - 3*j**2 + 3 - 1 + z*j**6 wrt j.
360*j**3
Suppose -2*o = -m - 3, 0 = -o + 2 + 3. Suppose -m*l + 3*l + 12 = 0. What is the third derivative of -3 + 3 - 2*u**2 + l*u**2 + 3*u**3 wrt u?
18
What is the second derivative of -8*u - u - 2*u - 32*u**5 + 44*u**5 wrt u?
240*u**3
Let n(h) = -h**2 - 17*h + 3. Let l(t) = -7*t + 3*t - 2*t + 0 + 1. Let b(r) = 17*l(r) - 6*n(r). What is the first derivative of b(g) wrt g?
12*g
Let j be (-2 - -5)*(-6)/(-9). Suppose j = -v + 2*v. Find the third derivative of -v*w**2 + w**4 - 2*w**5 - w**4 wrt w.
-120*w**2
Let d be 2/(-14) - 204/42. Let n(l) = l + 4. Let s(k) = k + 5. Let c(t) = d*s(t) + 6*n(t). Differentiate c(a) with respect to a.
1
Let h(k) be the second derivative of -k**8/840 + k**6/180 - k**3/2 - 3*k. Let m(x) be the second derivative of h(x). Find the third derivative of m(o) wrt o.
-48*o
Let y = 6 + -3. What is the derivative of -13*n + 13*n - 1 + 2*n**y wrt n?
6*n**2
What is the second derivative of 2*w**5 + w**5 - 2*w - 2*w**5 - 15*w wrt w?
20*w**3
Let g = -15 - -14. Let r(k) = -4*k - 2. Let c be (5/(-1))/1 + 0. Let i(z) = z. Let y(h) = c*i(h) + g*r(h). Find the first derivative of y(n) wrt n.
-1
Let v(d) be the third derivative of 13*d**8/336 + d**4/3 - 3*d**2. What is the second derivative of v(l) wrt l?
260*l**3
Let i(w) = w**3 - w + 1. Let d(s) = 6*s**3 + 2*s + 3. Let f(u) = d(u) - 3*i(u). Find the second derivative of f(h) wrt h.
18*h
Let p(b) = -95*b**3 - 19*b**2 + 8*b - 5. Let m(k) = -48*k**3 - 10*k**2 + 4*k - 3. Let z(a) = -5*m(a) + 3*p(a). Find the third derivative of z(y) wrt y.
-270
Let i = -13 - -38. Suppose 3*q = 6, i = 5*a + 3*q + 2*q. What is the first derivative of a + 0*m**2 + 0*m**2 + m**3 wrt m?
3*m**2
What is the third derivative of -5*k**2 + 8*k**4 + 0*k**2 + 3*k**2 wrt k?
192*k
Suppose -a = u - 113, 3*a - 3*u = 2*u + 331. Find the first derivative of -a*r + 112*r + 5 + r**3 + 0 wrt r.
3*r**2
What is the second derivative of -36*x - 23*x**2 - 27*x + 67*x + 2 wrt x?
-46
Let z(b) be the second derivative of 3*b**5/4 + 2*b**4/3 + b. Find the third derivative of z(g) wrt g.
90
What is the second derivative of -7*v**2 + 24*v**2 - 5*v - 16*v**2 wrt v?
2
Find the first derivative of 8*v + 4 + 8 + 2 - 24*v wrt v.
-16
Let f(u) be the third derivative of 2*u**5/15 + u**4/8 + 9*u**2. Find the second derivative of f(b) wrt b.
16
Let j(q) be the first derivative of -q**2/2 - 2*q - 1. Let f be j(-6). Differentiate -2*d**4 + 0*d**f - 1 - 1 wrt d.
-8*d**3
Suppose -5*x + 1 = 4*r + 11, -x + 2*r = -12. Find the third derivative of -2*d**6 - x*d**2 + 0 + 0 wrt d.
-240*d**3
Let c(y) be the first derivative of 12*y**5/5 + 2*y**3/3 + 1. Find the third derivative of c(b) wrt b.
288*b
Let m(w) = -5*w**5 + 5*w**2 + 9*w - 5. Let g(k) = 6*k**5 - 4*k**2 - 8*k + 4. Let v(h) = 5*g(h) + 4*m(h). What is the second derivative of v(p) wrt p?
200*p**3
Let k(h) be the second derivative of -h**7/840 + h**5/120 + h**3/3 - h. Let w(a) be the second derivative of k(a). Find the second derivative of w(y) wrt y.
-6*y
Let h(n) = 21*n**4 + 2*n**3 + 31*n - 2. Let a(y) = -y**3 - y + 1. Let z(f) = -2*a(f) - h(f). What is the second derivative of z(p) wrt p?
-252*p**2
Suppose 4*c = -c + 20. Let j be (c + -4)/(0 + 2). Find the third derivative of 2*y**4 + j*y**2 - 3*y**4 - 4*y**2 wrt y.
-24*y
Let s = -3 + 6. Suppose 2*h - s = h. Differentiate -4 + h + 2*y - 4*y with respect to y.
-2
Let v(w) be the first derivative of w**3 - 7/4*w**4 + 0*w + 2 + 0*w**2. What is the third derivative of v(p) wrt p?
-42
What is the third derivative of -3*b**3 + 9*b**3 - 4*b**3 - 10*b**2 wrt b?
12
Let o be (24/9 + -3)*-18. Find the second derivative of -o*k**4 + 4*k**5 + 3*k + 6*k**4 wrt k.
80*k**3
Let m(b) = 1. Let f(x) = -2*x - 7. Let d be f(-5). Let o(u) = -u - 1. Let y(v) = d*o(v) + 4*m(v). What is the derivative of y(a) wrt a?
-3
Suppose -d + 6*d = 0. Suppose -3*r = -6*r + 4*z - 10, d = -z + 4. What is the third derivative of -6*f - r*f**6 + 6*f + 2*f**2 wrt f?
-240*f**3
Let p(d) = 21*d**3 + 13*d**2 - 13*d - 19. Let g(z) = 10*z**3 + 6*z**2 - 6*z - 9. Let h(i) = -13*g(i) + 6*p(i). What is the derivative of h(t) wrt t?
-12*t**2
Let k(l) = 3*l - 1. Let d be k(1). Differentiate -3*x + d + 2 + 5*x with respect to x.
2
What is the second derivative of -6*o**3 - 7*o**3 - 4*o**3 - 15*o wrt o?
-102*o
Let c(n) be the second derivative of -n**5/4 - 7*n**3/3 - n**2 - 14*n. What is the second derivative of c(i) wrt i?
-30*i
Let s(g) be the second derivative of 0*g**5 + 0*g**2 - 7/30*g**6 - 7/6*g**3 - 2*g + 0*g**4 + 0. Find the second derivative of s(a) wrt a.
-84*a**2
Let m(r) be the first derivative of -4*r**3/3 + 3*r**2 + 4. Find the second derivative of m(y) wrt y.
-8
Let l(u) = -7*u + 2 + 2*u**2 - 3*u**2 + 1. Let v be l(-7). Find the second derivative of 0*z**3 + z**5 - 2*z + 0*z**v wrt z.
20*z**3
Let w(g) = -g + 2. Let q be w(5). Let p be q*((-8)/3)/4. What is the derivative of 4*v**4 + 3*v**2 - 3*v**p + 4 wrt v?
16*v**3
Suppose 0*b = b - 4. Suppose 2 = b*k - 10. What is the second derivative of 6*u - k*u + 2*u**2 + 0*u wrt u?
4
Let d(h) be the first derivative of -5*h**4/4 - 7*h**3/3 - 1. What is the third derivative of d(m) wrt m?
-30
Let r(j) be the first derivative of 0*j**3 - 3 + 1/6*j**6 + 0*j**5 - 1/2*j**2 + 0*j**4 + 0*j. What is the second derivative of r(p) wrt p?
20*p**3
Let u(g) = 3*g + 1. Let b be u(2). Let s(o) = -o + 9. Let m be s(b). Differentiate -4 - m*y + 0 + 1 wrt y.
-2
Let i = 6 + -15