- 8 + 22*b + 6*b - 13*b wrt b?
45
Suppose 3*r = s, 22 = 2*s + 3*s - 4*r. Let d = s - 1. Find the first derivative of 6 - d - 5*u**3 - u**3 wrt u.
-18*u**2
What is the second derivative of 36*z + 13*z**3 - 1 + 18378*z**2 - 18378*z**2 + z**4 wrt z?
12*z**2 + 78*z
Find the third derivative of 7*s**5 - 23*s**5 + 21*s**5 - 5*s**6 + 41*s**2 wrt s.
-600*s**3 + 300*s**2
Let l(y) be the first derivative of -3*y**7/7 - 24*y**5/5 - 42*y**3 - 14. What is the third derivative of l(b) wrt b?
-360*b**3 - 576*b
Let h = -72 - -74. Find the third derivative of 341*o**5 + 4*o**h - 340*o**5 - 21*o**2 wrt o.
60*o**2
Let p(d) be the first derivative of 0*d - 3*d**2 + 16 + 5/3*d**3. What is the second derivative of p(m) wrt m?
10
Let v be (1 - (-5)/((-10)/8))*-3. What is the derivative of -3 - v*y**4 - 22 + 16*y**4 wrt y?
28*y**3
Let d(f) be the first derivative of f**9/112 - f**6/30 + 17*f**3/3 + 30. Let c(w) be the third derivative of d(w). What is the third derivative of c(n) wrt n?
1620*n**2
Let u(l) = 36*l**5 + 60*l**2 - 12*l - 12. Let j(v) = -13*v - v**2 + 1 - 2*v + 16*v. Let d(r) = 12*j(r) + u(r). What is the third derivative of d(a) wrt a?
2160*a**2
Differentiate -2265 + 3*t - 129*t**3 + 2171 - 3*t wrt t.
-387*t**2
Let n(y) be the third derivative of 0*y**4 + 0 - 7/6*y**3 + 0*y**5 - 4*y**2 + 3/40*y**6 + 0*y. What is the derivative of n(c) wrt c?
27*c**2
Let j(t) = -3*t**4 - 2*t**2 + 4*t - 4. Let b(q) = -2*q**4 - 3*q**2 + 3*q - 4. Let u(f) = -2*b(f) + 3*j(f). What is the derivative of u(l) wrt l?
-20*l**3 + 6
Suppose 3 = 2*j - 5. Find the first derivative of 0*a + j*a + 11 + 5*a + 11 wrt a.
9
Let q be 5/((-1 - -3) + -1). Suppose 4*v - 4*m - q = m, -3*v - 2*m = 2. What is the derivative of 6*x**4 + v - 3*x**4 + 1 wrt x?
12*x**3
Suppose -9 = -l - z - 3, 5*z = 20. Let m = l + 0. What is the third derivative of -5*r**5 + 2*r**2 + r**5 - 10*r**m wrt r?
-240*r**2
Let w(q) = 8*q**2 - 4*q - 66. Let i(v) = -7*v**2 + 3*v + 65. Let b(f) = 7*i(f) + 6*w(f). What is the derivative of b(n) wrt n?
-2*n - 3
Suppose -4*m = -2*m. Suppose 2*v - v + 2*n + 4 = m, -v - n = 1. What is the second derivative of -3*f**2 + 0*f**2 + 0*f - 2*f + 0*f**v wrt f?
-6
Let f = -601 + 603. Let w(a) be the second derivative of 5/6*a**3 + 3/5*a**5 + 0*a**f - 3*a + 0 + 0*a**4. What is the second derivative of w(g) wrt g?
72*g
Let l(o) = -9*o**2 + 6*o - 11. Let w(d) = -7*d**2 + 4*d - 11. Let k(h) = -2*l(h) + 3*w(h). What is the first derivative of k(r) wrt r?
-6*r
Let c = 6 + -2. Let z be ((-6)/(-4))/(6/c). What is the derivative of r**2 - 2*r**2 - 1 - 1 + z wrt r?
-2*r
Let o(k) be the first derivative of 102*k**2 - 296*k - 188. What is the derivative of o(h) wrt h?
204
Let d(a) = -205*a**3 - 11*a + 1. Let g(t) = 206*t**3 + 9*t - 2. Let k(r) = -5*d(r) - 4*g(r). What is the second derivative of k(n) wrt n?
1206*n
Find the third derivative of -383*u**5 - 404*u**5 + 182*u**2 + 419*u**5 + 509*u**2 wrt u.
-22080*u**2
Let h(z) = 6*z + 6. Let m be h(3). Let r = 29 - m. What is the third derivative of 345*s + r*s**3 + 9*s**2 - 345*s wrt s?
30
Let s(l) be the first derivative of -l**6/120 + 13*l**3/6 + 3*l**2 + 1. Let i(n) be the second derivative of s(n). Differentiate i(z) wrt z.
-3*z**2
Let w(s) be the first derivative of 81*s**4/4 - 5*s**3/3 + 12*s + 214. What is the third derivative of w(c) wrt c?
486
Let v be (1 + -3)/(-2*1). Let t(r) = -r + 2. Let y be t(-2). What is the derivative of -y + 5*w + v + 1 wrt w?
5
Let l = -21 + 24. Suppose 4*b - y - 8 = y, -4*y = l*b - 17. Differentiate 178*x**4 - 3*x**3 + 6 - 183*x**4 + 3*x**b wrt x.
-20*x**3
Suppose -4*g + 33 - 9 = 0. Differentiate -2*t**4 + 27 - g*t**4 + 4*t**4 - 5*t**4 with respect to t.
-36*t**3
Let s(m) = -585*m**2 + 1716. Let x(p) = -45*p**2 + 132. Let u(d) = 2*s(d) - 27*x(d). Differentiate u(f) wrt f.
90*f
Differentiate -30 - 28*x**4 - 2*x**4 + 143 with respect to x.
-120*x**3
Let n(q) be the second derivative of -11/20*q**5 + q**2 + 0*q**3 + 11*q + 0 + 0*q**4. Find the first derivative of n(t) wrt t.
-33*t**2
Let n(w) = w + 3. Let p(v) = -4. Let o(k) = -3*n(k) - 2*p(k). Let j be o(-1). Find the second derivative of -18*s**2 - 23*s**2 + 41*s**j - s - s**3 wrt s.
-6*s
Find the second derivative of 12 - 1607*s**2 - 8 - 5 + 1524*s**2 - 218*s wrt s.
-166
Let t(z) be the second derivative of 25*z**7/14 + z**5/20 - 239*z**4/12 - 4*z - 7. Find the third derivative of t(r) wrt r.
4500*r**2 + 6
Let z(f) be the second derivative of -163*f**6/30 - 55*f**3/2 - 3*f + 93. What is the second derivative of z(x) wrt x?
-1956*x**2
Let x = -27 + 26. Let o(j) = -2*j**2 + 18*j - 2. Let h(p) = p**3 + p**2 - p + 1. Let w(g) = x*o(g) - 2*h(g). What is the second derivative of w(z) wrt z?
-12*z
Let v(h) = 3*h**2 - 7*h + 2. Let j be v(6). What is the derivative of -6 + 5*g**4 - j*g**3 + 68*g**3 wrt g?
20*g**3
Let m = 19 - 16. What is the second derivative of 0*v - 7*v**3 - m*v - 2*v**3 wrt v?
-54*v
Suppose -1 = -2*s + 3*i, 4*i - 10 - 4 = -5*s. What is the derivative of 3*g + 5 - g + s*g - 5*g wrt g?
-1
Let q(w) = 23*w**2 + w - 1. Let j be q(1). What is the first derivative of 15 + j*r - 12*r + 4*r wrt r?
15
Let b be (-4)/6 - (-43)/(-3). Let v = -11 - b. Find the second derivative of r**4 + 3*r**4 - 6*r - 3*r**4 - 6*r**v wrt r.
-60*r**2
Let c(m) be the first derivative of -109*m**5/5 + 13*m**3/3 - 2*m + 224. What is the third derivative of c(f) wrt f?
-2616*f
Let b(i) = -42*i**3 + 24*i - 13. Suppose s - 9 = -15. Let f(v) = -7*v**3 + 4*v - 2. Let g(z) = s*b(z) + 39*f(z). Find the second derivative of g(y) wrt y.
-126*y
Let k(c) = 62*c**4 + 11*c**3 - 5*c**2 + 5*c + 196. Let n(l) = -l**4 + 2*l**3 - l**2 + l - 1. Let y(p) = 2*k(p) - 10*n(p). Differentiate y(b) with respect to b.
536*b**3 + 6*b**2
Let x(l) be the second derivative of -155*l**3/6 - 283*l**2/2 - 300*l. Find the first derivative of x(n) wrt n.
-155
Let l(k) be the third derivative of 17*k**7/7 - k**5/10 - 5*k**4/24 + 498*k**2. Find the third derivative of l(m) wrt m.
12240*m
Let h(g) = -223*g**3 + g**2 - 186*g + 5. Let f(u) = -111*u**3 - 93*u + 2. Let s(a) = 5*f(a) - 2*h(a). What is the second derivative of s(p) wrt p?
-654*p - 4
Find the second derivative of 15*v**2 + 5*v**3 - 4*v**3 - 6*v**2 - 41*v + 1 - 8*v**3 wrt v.
-42*v + 18
Let q(j) = -j**2 - 13*j + 17. Suppose 6*i = 7*i + 14. Let n be q(i). What is the second derivative of 75*p + p**3 - 82*p + n*p**3 wrt p?
24*p
What is the third derivative of 4580*d**4 - 4704*d**4 + 33*d**2 + 14*d**2 wrt d?
-2976*d
Let p(c) = -85*c**2 + 79*c. Let s(l) = 43*l**2 - 40*l. Let u(j) = 4*p(j) + 7*s(j). What is the second derivative of u(v) wrt v?
-78
Let b(x) = -20*x + 7. Let r(f) = -36 + 37*f + 40 - 26 + 22*f. Let o(q) = -17*b(q) - 6*r(q). Differentiate o(v) wrt v.
-14
Let l(g) = -g**2 - 5*g + 1. Let q be l(-4). What is the second derivative of 3*k + k**2 + q*k - 2*k**2 wrt k?
-2
Find the second derivative of 478*f**5 + 52*f + 271*f + 187*f wrt f.
9560*f**3
Suppose -p = -q + 3 + 5, -30 = -3*q - 3*p. Let d be (-187)/33*-3 + -1 + 1. What is the third derivative of -a**2 - 16*a**5 + d*a**5 + q*a**2 wrt a?
60*a**2
Let r(v) = v**2 - v. Let i(g) = 2*g**2 - 3*g + 16. Let b(f) = i(f) - 3*r(f). What is the first derivative of b(p) wrt p?
-2*p
Suppose 0*b + 4*j = -4*b + 40, 0 = 3*b - j - 50. What is the third derivative of -b*o**3 - 7*o**2 - 41 + 41 + 2*o**2 wrt o?
-90
Find the second derivative of z - 2579*z**2 - 5*z**3 - 5*z**3 + 6*z**4 - 33 + 2579*z**2 - 3*z**3 wrt z.
72*z**2 - 78*z
Let j(w) = w**3 - w. Let u(o) = -137*o**3 - 3*o - 6. Let n(l) = 3*j(l) - u(l). What is the derivative of n(i) wrt i?
420*i**2
Let s(m) = m**2. Let y(f) = 25*f**2 + 14*f. Suppose -8*w - 5*k = -3*w, 3*k - 6 = -5*w. Let v(i) = w*s(i) + y(i). Find the second derivative of v(r) wrt r.
56
Let b(p) = 5*p**4 + 12*p**2 - 3*p + 3. Let u(x) = -8 + 19 - 5*x + 23*x**2 + 9*x**4 - 6. Let l(g) = 5*b(g) - 3*u(g). What is the third derivative of l(m) wrt m?
-48*m
Let j(s) be the third derivative of -79*s**9/168 + 17*s**5/30 + s**3/3 - 12*s**2. Find the third derivative of j(x) wrt x.
-28440*x**3
Let i(n) be the third derivative of -79*n**6/10 + 25*n**4/24 + n**3/6 - 603*n**2. Find the second derivative of i(s) wrt s.
-5688*s
Suppose 7*x - 11*x = -32. Find the first derivative of -x + 19*d**2 + 7 + 12 wrt d.
38*d
Suppose