erivative of a(v) wrt v?
-3*v**2 + 245
What is the derivative of h**3 - 486557*h**2 - 204 + 420*h**4 + 486557*h**2 wrt h?
1680*h**3 + 3*h**2
Suppose 3*f + 5 = 5*k - 11, 4*f + 2*k = 22. Suppose 3*n - 9 = -6. What is the derivative of n + 7*m + 4*m**3 - 4*m - f*m wrt m?
12*m**2
Let h(z) be the second derivative of 0*z**5 - 5/2*z**4 - 15*z - 7/6*z**6 + 0*z**2 + 0 + 0*z**3. Find the third derivative of h(j) wrt j.
-840*j
Let m(r) = -2*r**3 + r**2 + 1. Let y(h) = -39*h**3 + 3*h**2 - 9. Let d(n) = -3*m(n) + y(n). Differentiate d(f) with respect to f.
-99*f**2
What is the derivative of 25*i + 21*i + 91 - 7*i - 146 wrt i?
39
What is the third derivative of -9 - 980*k**6 - k**2 + 961*k**6 - 9 wrt k?
-2280*k**3
Suppose 0 = -5*m + 3*m + b + 8, m + b - 4 = 0. Let v(j) be the first derivative of -11*j - 3/4*j**m + 0*j**3 - 12 + 0*j**2. Differentiate v(o) wrt o.
-9*o**2
Let t(i) be the second derivative of i**5/12 - 2*i**3/3 - 4*i**2 - 6*i. Let x(o) be the first derivative of t(o). Differentiate x(c) with respect to c.
10*c
Let m be 4/(-18) + (-94)/(-18). Let x be -2*((-18)/20 - 6/10). Differentiate 6*l**x + 1 - 3*l**3 - m - 3 with respect to l.
9*l**2
What is the third derivative of 55*l**5 + 34 - 63*l**5 + 3*l**4 - 2*l**2 - 3*l**4 - 7*l**4 wrt l?
-480*l**2 - 168*l
Let n(m) = -2*m**2 + 2*m + 554. Let d be n(0). Find the first derivative of -18 + 10*w**4 - 554*w + d*w wrt w.
40*w**3
Let t = 372 - 370. Let w(u) be the second derivative of -6*u - 1/4*u**5 - 1/2*u**3 + 0*u**4 + 0 + 0*u**t. What is the second derivative of w(r) wrt r?
-30*r
Let n = -929 + 934. Let b(f) be the third derivative of 0*f**3 + 5/24*f**4 + 0 + 3/40*f**6 - 6*f**2 + 0*f**n + 0*f. What is the second derivative of b(p) wrt p?
54*p
Suppose 3*g - 3*b = -0*b + 15, 0 = -g + 4*b + 11. What is the third derivative of -6*m**2 + 0*m**3 + 13*m**2 - 16*m**5 + 0*m**g wrt m?
-960*m**2
Let z(w) = 73*w - 5. Let t be z(5). Suppose 3*l - t = -4*u - 74, 4*l - 4*u - 400 = 0. Differentiate 3 + l*h - 98*h + 5*h**2 wrt h.
10*h
Let b(f) be the first derivative of -3*f**4/4 - 5*f**3/2 - 11*f**2/2 - 5. Let o(g) be the second derivative of b(g). Differentiate o(n) with respect to n.
-18
Suppose 5*n - 10 = -f - f, -2*f = -4*n + 8. Suppose -5*r + n*r + 9 = 0. What is the third derivative of 6*u**2 + 4*u**4 - 13*u**2 + r*u**2 wrt u?
96*u
Let v(q) be the second derivative of -4*q**2 + 0 + 5/3*q**3 + 6*q. What is the first derivative of v(k) wrt k?
10
Let c(u) be the first derivative of -14*u**6/3 + 2*u**4 + 56*u**3 - 369. What is the third derivative of c(d) wrt d?
-1680*d**2 + 48
Let t = 13/54 + 7/27. Let g(w) be the second derivative of 0*w**5 + 1/3*w**6 + 0 + 0*w**4 + 0*w**2 - w + t*w**3. Find the second derivative of g(z) wrt z.
120*z**2
Let g(w) be the first derivative of 0*w**5 + 38/3*w**3 + 0*w**2 - 45/7*w**7 + 0*w**6 + 0*w**4 + 9 + 0*w. Find the third derivative of g(a) wrt a.
-5400*a**3
Let b be ((-8)/(-24))/(1/12). Let d be b/5*10/4. Differentiate 3*a**2 + 4 - 2*a**2 + d - 6*a**2 with respect to a.
-10*a
Let z(x) = 117*x**2 + 110. Let q(m) = 1. Let v(p) = 6*q(p) + z(p). Find the first derivative of v(i) wrt i.
234*i
Let s(p) be the third derivative of p**8/70 - p**4 + 3*p**3 - 14*p**2. Let n(j) be the first derivative of s(j). What is the first derivative of n(l) wrt l?
96*l**3
Let x(i) be the second derivative of i**9/1890 - i**5/60 + i**4/2 - 5*i. Let l(o) be the third derivative of x(o). Differentiate l(v) with respect to v.
32*v**3
Let f(l) = -l**2 - 7*l - 8. Let w be f(-4). Find the third derivative of -5*s**2 + 7165*s**4 - 7165*s**4 + w*s**6 wrt s.
480*s**3
Let b(u) be the second derivative of -2*u + 53/6*u**3 - 10*u**2 + 5. Differentiate b(r) wrt r.
53
Let l(d) be the first derivative of 0*d**3 + 0*d**4 + 17/5*d**5 - 15 + 0*d**2 + 26*d. Find the first derivative of l(g) wrt g.
68*g**3
Let q = 67/78 + -23/52. Let r(o) be the third derivative of 0 - 12*o**2 + 0*o + 0*o**3 - 1/40*o**6 + q*o**4 + 0*o**5. Find the second derivative of r(i) wrt i.
-18*i
Let g(p) be the third derivative of -4*p**2 + 0*p**3 + 1/12*p**4 + 0 + 0*p + 1/5*p**5. What is the second derivative of g(l) wrt l?
24
Differentiate 6 - s**4 - 6*s + 25*s**2 - 2*s - 2 + 8*s wrt s.
-4*s**3 + 50*s
Suppose -3*w + 5 = -8*w. Let z = 4 + w. Find the second derivative of u**3 - 5*u**z + u**3 - 5*u + 2*u**3 wrt u.
-6*u
Let l(z) = -z**2 + z. Let v(i) = 3*i**2 + 99*i + 278. Let t(g) = 5*l(g) + v(g). Find the first derivative of t(r) wrt r.
-4*r + 104
Let w(n) = 133*n**2 - 6*n + 24. Let k(d) = 267*d**2 - 11*d + 51. Let v(p) = 6*k(p) - 11*w(p). Differentiate v(z) wrt z.
278*z
Let j(q) be the first derivative of -77*q**2 + 254*q + 235. Differentiate j(d) with respect to d.
-154
Let x(h) = -481*h**4 + 4*h**2 - 46*h + 2. Let i(y) = 481*y**4 - 6*y**2 + 47*y - 3. Let q(z) = -2*i(z) - 3*x(z). What is the second derivative of q(r) wrt r?
5772*r**2
What is the third derivative of -2*u**3 + 4*u**3 + 216*u**5 - 2*u**3 + 442*u**2 + 300*u**5 wrt u?
30960*u**2
Suppose -5*u + 16 = -24. Find the second derivative of 6*y - u*y**3 - 3*y**3 + 0*y**3 + 2*y wrt y.
-66*y
Let v(r) be the second derivative of -82*r**7/21 + 61*r**3/6 + 43*r + 1. Find the second derivative of v(s) wrt s.
-3280*s**3
Let b(j) = -j**4 + j + 2. Let g(o) = -68*o**4 + 6*o - 94. Let s(u) = -12*b(u) + 2*g(u). Find the first derivative of s(z) wrt z.
-496*z**3
Let a be (172/258)/(2/9 + 0). Find the second derivative of 9*c**5 + 19*c - 15*c**5 - a*c - 2*c wrt c.
-120*c**3
Let t(z) be the first derivative of 62*z**3/3 + 3*z**2 + 11*z + 76. What is the second derivative of t(p) wrt p?
124
Let m(v) be the second derivative of v**7/126 + v**6/180 - v**4/2 + 6*v. Let c(h) be the third derivative of m(h). What is the second derivative of c(l) wrt l?
40
Let f = -6 + 12. Suppose 2*d + w - 8 = -w, -4*d + f = -w. What is the second derivative of 4*k - 3*k + 3*k**2 - k**d + k wrt k?
4
Suppose 16 = 4*i, -6*i + 3*i + 38 = 2*t. What is the first derivative of 4 - 2*u**4 - t - 8 - u**4 wrt u?
-12*u**3
Let j(s) = -6*s**3 + 91*s**2 - 168*s - 15. Let f(o) = 5*o**3 - 90*o**2 + 169*o + 12. Let w(t) = -5*f(t) - 4*j(t). What is the second derivative of w(l) wrt l?
-6*l + 172
Let h = 21 + 11. Let u(f) = -2*f**3 - 3*f**2 + 2*f + 1. Let z be u(-2). What is the first derivative of -46*l**3 - 6 - z + h*l**3 wrt l?
-42*l**2
Suppose -6*x + 13 = -5. Suppose -2*i + x*i = 4. Differentiate 3*m**4 + 133 + 3*m**i - 138 wrt m.
24*m**3
Suppose 2 = h + 1. Let v be -4*(h - 2)*1. Differentiate -6*t**v - 2 + t**4 + 1 - 2 wrt t.
-20*t**3
Let d be (-4)/1 - (1 - -2). Let c = 9 + d. Let l(h) = 6*h**2 - 2*h + 4. Let b(a) = -30*a**2 + 11*a - 20. Let p(q) = c*b(q) + 11*l(q). Differentiate p(t) wrt t.
12*t
What is the third derivative of -13*h**2 + 354*h**2 - 273*h**4 + 487*h**4 wrt h?
5136*h
Let k be (-15)/(-10)*(-1 + 3). Let g be 1 - (2 - 3)*k. Find the third derivative of -2*b**2 - 32*b**g + 35*b**4 - 2*b**2 wrt b.
72*b
Let u(z) be the first derivative of -763*z**4/4 + 2*z**3 + 4*z**2 - 526. Find the third derivative of u(k) wrt k.
-4578
Let c(n) be the second derivative of -1/30*n**6 + 0 + 11*n + 0*n**2 + 0*n**4 - 1/3*n**3 + 0*n**5. What is the second derivative of c(g) wrt g?
-12*g**2
Let j(f) = -85*f**2 + 13*f - 44. Let u(o) = 43*o**2 - 6*o + 22. Let n(g) = -3*j(g) - 7*u(g). What is the second derivative of n(z) wrt z?
-92
Let v(g) be the first derivative of -17 + 21/2*g**2 + 0*g + 4/3*g**3. Find the second derivative of v(m) wrt m.
8
Let f(m) be the second derivative of -9*m**5/10 + m**4/4 + m**3 - 2*m**2 + 116*m + 2. What is the second derivative of f(p) wrt p?
-108*p + 6
Let d(g) be the second derivative of -5/6*g**4 + 0*g**3 + 0 + 7/20*g**5 + 16*g + 0*g**2. What is the third derivative of d(x) wrt x?
42
Let a(n) be the third derivative of -n**6/120 - n**5/5 - 13*n**4/3 - 61*n**2. Find the second derivative of a(w) wrt w.
-6*w - 24
Suppose o - 4 = -n, -o = -5*n + 3*n + 5. Let r(y) be the first derivative of -4 + 0*y - 7/4*y**4 - y**n + 0*y**2. Find the third derivative of r(x) wrt x.
-42
Let f(y) = y**3 + 12*y - 151. Let q(c) = -c**3 - 18*c + 227. Let x(t) = 8*f(t) + 5*q(t). What is the derivative of x(o) wrt o?
9*o**2 + 6
Let s = 2202 + -44031/20. Let j(y) be the second derivative of 0*y**4 + 0 + 0*y**2 - s*y**5 + y**3 + y. What is the 