82*i - 3221*i - 3 with respect to i.
61
Let m(w) be the third derivative of -3*w**6/40 - 17*w**3/6 - 14*w**2. Find the first derivative of m(t) wrt t.
-27*t**2
Let c = -28 - -28. Let x(o) be the third derivative of 0 + 0*o**4 + 0*o**5 + 1/120*o**6 + c*o - 2*o**2 - 1/2*o**3. What is the first derivative of x(n) wrt n?
3*n**2
Let t(y) be the first derivative of -5*y**6 + 13*y**2 + 20. What is the second derivative of t(d) wrt d?
-600*d**3
Find the second derivative of -2*i**4 - i - 2*i + 0*i wrt i.
-24*i**2
Let a be 24/9 - (-2)/(-3). What is the second derivative of 0*k + a*k - 6*k**3 + 3*k**3 wrt k?
-18*k
Let a be (1 - 0 - 1) + 2. Suppose 5*b - 2 = 8. Differentiate -b - 2*u**a + 4 - 4 wrt u.
-4*u
Suppose 0*z - 5*z - 30 = 0. Let r(c) = c**3 + 7*c**2 + 5*c - 1. Let q be r(z). What is the second derivative of -3*m**5 - m + q*m**5 + 0*m wrt m?
40*m**3
Let v(f) = 3*f - 4 - 3*f + 10 + 4*f. Let a(k) = 51*k + 78. Let h(m) = -2*a(m) + 27*v(m). Differentiate h(u) with respect to u.
6
Suppose -s = s - 6. Let t(b) = b**4 - b**3 + b**2. Let c(q) = 2*q**4 - 3*q**3 + 3*q**2 - 3. Let l(r) = s*t(r) - c(r). Differentiate l(y) with respect to y.
4*y**3
Differentiate 9*d**3 + 190*d + 6 - 190*d wrt d.
27*d**2
Find the third derivative of -74*x**4 + 53*x**4 - 3*x + 3*x + 25*x**2 wrt x.
-504*x
Let n(h) be the third derivative of 23*h**6/120 - h**5/3 + 36*h**2. Find the third derivative of n(k) wrt k.
138
Let k(y) = -6*y**4 - 11*y**3 - 165. Let c(l) = l**4 + 2*l**3 + 33. Let f(u) = 11*c(u) + 2*k(u). What is the derivative of f(m) wrt m?
-4*m**3
Let d = -7 - -9. What is the second derivative of -2*b**d + 5*b**2 + 0*b + 0*b**2 + b wrt b?
6
Suppose 5*x + 3*k - 8 = 0, x + x - k - 1 = 0. Suppose 3*u - 2*h + 3 = 0, -3*h = 5*u - 2*h - 8. Find the second derivative of -x + g + u + 2*g**4 wrt g.
24*g**2
Suppose -3*j + x = -20, -5*j + 21 = 5*x + 1. What is the third derivative of -k**6 - 2*k**2 + k**6 - 2*k**j + k**2 wrt k?
-240*k**3
Let o be 57/21 + 4/14. Find the first derivative of 4*v**4 + 3 - 2 + o wrt v.
16*v**3
Let o(m) = -m**5 + m**4 + m**2 + m. Let y(p) = 21*p**5 - 4*p**4 + 4*p**2 - 4*p. Let f(c) = 4*o(c) + y(c). Find the third derivative of f(j) wrt j.
1020*j**2
Let n(m) be the third derivative of m**7/70 - m**4/8 - 3*m**2. Find the second derivative of n(s) wrt s.
36*s**2
Let w(o) = -5*o**2 - 36*o - 4*o**2 - 15 + 0*o**2 + 3*o**2. Let a(k) = -k**2 - 5*k - 2. Let v(b) = 15*a(b) - 2*w(b). What is the second derivative of v(s) wrt s?
-6
Let a be (-3)/(-9) + (-2)/(-3). Let v(x) = -7*x**3 - 6*x**2 - 6. Let j(g) = g**3 + g**2. Let h(s) = a*v(s) + 6*j(s). Differentiate h(p) with respect to p.
-3*p**2
Let r = -1 + 9. Let n = 11 - r. What is the second derivative of 2 + s**n + s - 2 wrt s?
6*s
Find the second derivative of -5*o**5 - 7*o - 2*o**5 - 2*o**5 wrt o.
-180*o**3
Let k(f) be the second derivative of 2*f - 1/3*f**3 + 0 + 3/20*f**5 + 0*f**4 + 0*f**2. What is the second derivative of k(h) wrt h?
18*h
Let a(p) = -22*p**5 - 2*p**3 - 22*p**2. Let f(z) = 23*z**5 + 3*z**3 + 22*z**2. Let n(h) = 3*a(h) + 2*f(h). What is the third derivative of n(c) wrt c?
-1200*c**2
What is the third derivative of 3*r**2 - 7*r**3 - r**3 + 2*r**3 + 10*r**3 wrt r?
24
Let r = -94 + 97. Let j(w) be the first derivative of 2 + 3/4*w**4 + 2/3*w**r + 0*w + 0*w**2. Find the third derivative of j(l) wrt l.
18
Suppose 0 = 4*w - 3*s - 3, 0 = -2*w - 2*w + 5*s - 3. Let r be (1/2)/(-2*(-2)/24). Find the third derivative of -w*a**6 + 0*a + r*a**2 + 0*a - a**2 wrt a.
-360*a**3
Let h be (-1)/(-2)*(10 - 0). Let r(p) be the first derivative of -3 + 2/5*p**h - 3*p + 0*p**4 + 0*p**3 + 0*p**2. What is the derivative of r(g) wrt g?
8*g**3
What is the second derivative of -2 + 5 + 2*m**4 - 3 - 61*m - 5*m**2 wrt m?
24*m**2 - 10
Let a(t) be the third derivative of 1/120*t**6 + 0*t + 2*t**2 + 0*t**4 + 0 + 0*t**3 + 1/20*t**5. Find the third derivative of a(i) wrt i.
6
Let y be 1*(-2 + 6*1). Find the first derivative of -4*a**3 + 4*a**4 - a**4 + 3 + y*a**3 wrt a.
12*a**3
Let y(z) be the second derivative of -z**9/756 - z**6/120 - z**3/3 - 4*z. Let t(o) be the second derivative of y(o). Find the third derivative of t(s) wrt s.
-240*s**2
Let c(d) = -d + 1. Let p = -6 - -2. Let v be c(p). Find the second derivative of b - v*b**2 + b**2 + 2*b**2 wrt b.
-4
What is the derivative of 4*r**4 + 0*r**4 - 2 - 3 - 5*r**4 wrt r?
-4*r**3
Let b(d) be the first derivative of 0*d - d**3 - 1/2*d**2 - 1. What is the second derivative of b(t) wrt t?
-6
What is the third derivative of 208*t**4 - 42*t**5 - 14*t**2 - 8*t**2 - 208*t**4 wrt t?
-2520*t**2
Let w(k) = k**2 + k - 4. Let a be (4 - -2)*2/(-4). Let d be w(a). What is the second derivative of v - 3*v + v + d*v**4 wrt v?
24*v**2
Let a(m) be the third derivative of -7*m**5/10 - 3*m**4/2 - m**3/6 + 2*m**2 + 8*m. What is the second derivative of a(n) wrt n?
-84
Suppose 0 = 3*s + 2*s - 25. What is the third derivative of -3*j - s*j**5 + 3*j**2 + 2*j**5 + 3*j wrt j?
-180*j**2
Let x(r) = -2*r**2 + 5*r - 5. Let h be x(-5). Let f be 1/(-5) + h/(-25). What is the second derivative of -p**3 + p - 6*p + 4*p + 0*p**f wrt p?
-6*p
What is the second derivative of 115*y - 113*y + 14 - 18*y**4 - 6 wrt y?
-216*y**2
Let x(r) = -5*r**3 + r**2 - 3*r. Let t be (-2)/4 + (-2)/4. Let d(w) = -w**3 + w**2. Let y(p) = t*d(p) + x(p). What is the second derivative of y(c) wrt c?
-24*c
Let k(d) be the second derivative of d**8/840 + d**6/180 - d**3/3 - d. Let b(o) be the second derivative of k(o). What is the third derivative of b(g) wrt g?
48*g
Let v(d) be the third derivative of 3*d**7/14 + d**5/12 + d**3/3 - 2*d**2 - 24*d. Find the third derivative of v(l) wrt l.
1080*l
Let a(h) = 5*h - 14. Let c(o) = 5*o - 13. Let p(n) = 6*a(n) - 7*c(n). Differentiate p(s) with respect to s.
-5
Let j(o) = -55*o**4 - 8*o**2 - 8*o + 52. Let g(b) = 18*b**4 + 3*b**2 + 3*b - 17. Let s(k) = -8*g(k) - 3*j(k). What is the first derivative of s(m) wrt m?
84*m**3
Let x be (-3)/6*-3 - 1. Let p(y) be the third derivative of y**2 + 0 + 0*y**4 + x*y**3 + 0*y**5 + 1/60*y**6 + 0*y. What is the first derivative of p(b) wrt b?
6*b**2
Let p(d) = -d**4 + d**3 + d - 1. Let q(m) = 5*m**4 - 2*m**3 - 10*m + 2. Let c(b) = 2*p(b) + q(b). Find the second derivative of c(u) wrt u.
36*u**2
Find the second derivative of 20*x**3 - 61*x**3 - 2*x**3 + x wrt x.
-258*x
Suppose 1 = -i + 3. What is the third derivative of 4*q**2 - q**i - 3*q**2 + q**3 - 3*q**2 wrt q?
6
Let f(c) = c**2 + 3*c - 2. Let u(v) = v. Let d(s) = -f(s) + 3*u(s). Differentiate d(y) wrt y.
-2*y
Let y(f) be the first derivative of -5*f**7/7 - 6*f**3 + 19. Find the third derivative of y(k) wrt k.
-600*k**3
Let q be 1/(3 + -5)*-6. Find the third derivative of -i**2 - 3*i**6 - q + 3 + 7*i**6 wrt i.
480*i**3
What is the derivative of -4 + 14 + 14*m - 12*m wrt m?
2
Let l(j) be the second derivative of 2*j**3/3 - j**2 - 2*j. Differentiate l(r) with respect to r.
4
Let w(q) = q - 1. Let y(l) = -37*l**2 + 27*l + 4. Let c(b) = -4*w(b) - y(b). What is the second derivative of c(u) wrt u?
74
Let p = 4 - 2. What is the third derivative of 10*j**4 + 7*j**5 - 8*j**p - 10*j**4 wrt j?
420*j**2
Suppose -v - 2 = -2*q, q = 2*v - 0 - 5. What is the second derivative of k - q*k + 3*k + 5*k**2 wrt k?
10
Let r(c) be the third derivative of -c**4/12 - 4*c**2. Let j(v) = -3*v + 1. Let i(q) = -3*j(q) + 5*r(q). What is the derivative of i(n) wrt n?
-1
Suppose -3*h = h - 8. Find the third derivative of -5*w**h - 7*w**2 + 11*w**2 + 4*w**6 wrt w.
480*w**3
Let t(z) = 8*z. Let n(c) = -62*c + 4. Let d(i) = 21*i - 1. Let f(a) = -7*d(a) - 2*n(a). Let j(r) = -3*f(r) - 8*t(r). Differentiate j(q) wrt q.
5
Let g be (-1)/(1 - (-14)/(-12)). Suppose -4*r = -g*r. Find the second derivative of r*w**3 - w**3 + 2*w**3 + 2*w wrt w.
6*w
Let x(h) = -5*h**3 + 34*h**2. Let p(n) = 3*n**3 - 23*n**2. Let k = -17 + 10. Let a(j) = k*p(j) - 5*x(j). Find the third derivative of a(t) wrt t.
24
Let p be 5*9/(-2 + -1). Let h(c) = -3*c**2 - 15*c - 51. Let x(z) = -z**2 - 4*z - 13. Let b(g) = p*x(g) + 4*h(g). Differentiate b(l) wrt l.
6*l
Suppose b - 4 = -2. Find the third derivative of -m**5 + 10*m**5 - m**5 - 5*m**5 - 5*m**b wrt m.
180*m**2
Let n(h) be the second derivative of -3*h**3/2 - 3*h**2 + 11*h. What is the first derivative of n(c) wrt c?
-9
Let 