rivative of -115*s**4/6 - 165*s**2/2 + s. Let b(k) = -6*u(k) + 65*z(k). Differentiate b(r) with respect to r.
30*r
What is the first derivative of -16 - 13 + 6 - 13 + 8*n + 3 wrt n?
8
What is the third derivative of -3 + 54*k**5 + 103*k**4 + 66*k**2 - 103*k**4 + 1 wrt k?
3240*k**2
Let o(a) be the first derivative of 0*a**6 + 0*a**5 - 30/7*a**7 + 0*a**4 + 29/3*a**3 - 12 + 0*a**2 + 0*a. What is the third derivative of o(q) wrt q?
-3600*q**3
Suppose 33 = -6*c + 3*c. Let j = 13 + c. Differentiate -5 + 4 - 3 + 5*a**j wrt a.
10*a
Let y(v) be the third derivative of 0*v**3 + 0*v + 0*v**7 + 7/24*v**4 - 11/336*v**8 + 0*v**6 + 0*v**5 + 0 - 8*v**2. What is the second derivative of y(r) wrt r?
-220*r**3
Let t(y) be the third derivative of 5*y**5/12 + 17*y**4/24 + 68*y**2. Find the second derivative of t(n) wrt n.
50
Let l(r) = -r**4 - 2*r. Let g(w) be the second derivative of w**6/10 + 7*w**3/6 - 8*w. Let s(m) = -6*g(m) - 26*l(m). Find the second derivative of s(a) wrt a.
96*a**2
Let k = 15 + -11. Suppose 3*v + 0 - 23 = -4*q, -2*v + 2 = -k*q. What is the second derivative of -5*a**3 - 3*a - q*a + 0*a + a wrt a?
-30*a
Let j(b) = -11*b + 158. Let r(t) = 12*t - 163. Let s(f) = -7*j(f) - 6*r(f). Find the first derivative of s(l) wrt l.
5
Let b(j) = -5*j**4 - 4*j**3 + 4*j**2 + 14*j - 31. Let d(s) = -6*s**4 - 5*s**3 + 5*s**2 + 13*s - 32. Let l(f) = 5*b(f) - 4*d(f). Differentiate l(t) wrt t.
-4*t**3 + 18
Suppose w + 28 = -w. Let l be 12/w*(-196)/42. Differentiate -24 + 0*t**l + 16 + 4*t**4 wrt t.
16*t**3
Let v(n) be the second derivative of -7*n**6/360 + n**4/6 + 7*n**3/3 + 9*n. Let r(s) be the second derivative of v(s). Differentiate r(k) wrt k.
-14*k
Let g(q) = q**3 - q**2 - q + 1. Let x be g(2). Let h = 5 - x. Differentiate -h - z**3 - 2 + 1 wrt z.
-3*z**2
Let w be (-18)/15*(-10)/4. What is the derivative of 6 + 5*f**3 + 4*f**w + 6*f**3 + 5*f**3 wrt f?
60*f**2
Let g be ((-6)/(-4))/(36/48). Let a = 4 - g. Find the second derivative of 0*m**4 - 8*m**4 + 8*m**4 - a*m + 12*m**5 wrt m.
240*m**3
Suppose 0 = 3*r - 212 + 128. Find the first derivative of 32*b + b + 5 - r wrt b.
33
What is the first derivative of 145*j - 259 - 549*j - 841 + 278 wrt j?
-404
Let c(b) be the third derivative of -33*b**5/20 - 9*b**4 - 9*b**2 + 2. Find the second derivative of c(j) wrt j.
-198
Let b(d) = -d**2 + 30*d + 25*d - 56*d - 1. Let i(h) = -2*h**2 + 5*h + 1. Let z(q) = b(q) + i(q). What is the second derivative of z(o) wrt o?
-6
What is the derivative of 6*w - 48*w + 5*w + 217*w + 198*w - 348 wrt w?
378
Let j(z) = -2*z + 17. Let f be j(7). Suppose f - 13 = -2*s. What is the first derivative of -u**3 - u**3 - 4*u**3 + s + 5*u**3 wrt u?
-3*u**2
Let w(b) = -b**3 + b**2 + b + 4. Let f be w(0). What is the second derivative of f*n**2 - 11*n**2 - 48*n + 9*n**2 wrt n?
4
Let x(q) = -q - 1. Let t(c) = -6*c - 6. Suppose 6*w - w + 10 = 0. Let z(o) = w*x(o) - t(o). What is the first derivative of z(l) wrt l?
8
Let i(v) = -16*v**4 - v + 2. Let q(z) = 32*z**4 + 2*z - 5. Let s(g) = -11*i(g) - 6*q(g). What is the second derivative of s(x) wrt x?
-192*x**2
Let r(h) = 361*h**4 + 6*h**2 - 723*h + 6. Let l(g) = 1082*g**4 + 17*g**2 - 2171*g + 17. Let o(c) = -6*l(c) + 17*r(c). Find the second derivative of o(b) wrt b.
-4260*b**2
Let h(w) be the second derivative of 67*w**4/3 - 5*w**3/6 - 14*w**2 - 60*w + 9. What is the second derivative of h(a) wrt a?
536
Let b(d) be the second derivative of 11*d**6/15 - d**5/5 - 31*d**3/6 + 31*d - 5. Find the second derivative of b(y) wrt y.
264*y**2 - 24*y
Let n be 559 + (-16)/(6 + -2). Find the third derivative of -555*z + n*z - 2*z**6 - 11*z**2 wrt z.
-240*z**3
Let t(i) be the second derivative of 12*i + 0*i**3 - 17/30*i**6 + 0*i**5 + 0 - 1/6*i**4 + 0*i**2. Find the third derivative of t(y) wrt y.
-408*y
Let g(v) be the first derivative of -v**2/2 + v + 13. Let z be g(-7). What is the second derivative of 3*x + 18*x**2 + 9*x**2 - 6*x**2 - z*x**2 wrt x?
26
Find the third derivative of -375*s**3 + 215*s**3 - 13*s**2 + 0*s**2 + 3 + 266*s**3 wrt s.
636
Let u(m) be the first derivative of -23*m**4 + 126*m + 10. What is the first derivative of u(n) wrt n?
-276*n**2
What is the second derivative of 182*f - 233*f**4 - 181*f**4 - 301*f**4 wrt f?
-8580*f**2
Let k(z) = 65*z - 1 - 13*z**2 - 18*z**3 - 65*z - 3. Let a(t) = t**3 + 1. Let s(o) = -4*a(o) - k(o). What is the third derivative of s(v) wrt v?
84
Let y(p) = -40*p**2 + 7*p. Suppose -2*b + 5 = -b. Let d(u) = -60*u**2 + 11*u. Let q(l) = b*d(l) - 7*y(l). What is the second derivative of q(a) wrt a?
-40
Suppose -2*r - y = -10, 7*r - 4*y = 2*r + 25. Let v = 12 - r. What is the third derivative of -3*g**2 - 2*g**4 - v*g**2 + 12*g**2 wrt g?
-48*g
Let c(l) be the third derivative of 9*l**2 + 11/210*l**7 + 0*l**4 + 0*l + 0 + 0*l**6 - 1/2*l**3 + 0*l**5. What is the first derivative of c(b) wrt b?
44*b**3
Let i = 3 - -17. Suppose -17 = -v - 5*g, 2*v - 3*g - g = i. Find the first derivative of 6 - v - 2 + 3*y**3 wrt y.
9*y**2
Let a(q) be the third derivative of -37*q**7/21 - 77*q**4/6 + 195*q**2. What is the second derivative of a(p) wrt p?
-4440*p**2
What is the third derivative of -56*y**3 - 45*y**3 + 54*y**2 + 123*y**3 wrt y?
132
Let d(i) = 12369*i + 9*i**2 - 12369*i - 5. Let c(q) = q**4 - q**3 - 1. Let o(u) = -5*c(u) + d(u). Find the third derivative of o(g) wrt g.
-120*g + 30
What is the derivative of -w + 182 + 3*w - w**3 - w + 44*w**3 + 13*w**3 wrt w?
168*w**2 + 1
Let n(w) be the third derivative of -w**5/60 + w**4/8 + 2*w**2. Let o be n(2). What is the third derivative of c**6 + c**6 + 0*c**o + c**6 - c**2 wrt c?
360*c**3
Let c = -23 - -28. Find the second derivative of -2*u**5 + u**c - u + 6*u + 11*u**5 wrt u.
200*u**3
Let l(g) = 17*g**3 + 5*g**2 + 4*g - 82. Let w(o) = 35*o**3 + 9*o**2 + 8*o - 163. Let v(p) = -9*l(p) + 5*w(p). Differentiate v(a) wrt a.
66*a**2 + 4
Let r(x) be the first derivative of -179*x**3/3 + 164*x + 219. What is the first derivative of r(o) wrt o?
-358*o
Let w(v) be the second derivative of 321*v**5/20 - 277*v**2/2 - 1016*v. Find the first derivative of w(f) wrt f.
963*f**2
Let i(h) = -119*h**3 + 3*h**2 + 3*h + 75. Let z(q) = -q**2 - q - 1. Let r(s) = -i(s) - 3*z(s). Find the first derivative of r(o) wrt o.
357*o**2
Let o(x) = -x - 3*x - 9 + 3*x. Let a be o(-11). Find the second derivative of r - 55*r**a + 0*r + 59*r**2 wrt r.
8
Let t(o) be the third derivative of -187*o**7/70 + 339*o**3/2 - o**2 - 377. What is the derivative of t(d) wrt d?
-2244*d**3
Suppose 2*o = -3*x - 70, -3*x - 4*o + 14 = -4*x. Let h = x - -25. What is the derivative of 3 - 6 + 0 - 6*j**h wrt j?
-18*j**2
Let x(a) be the second derivative of 37*a**6/15 - 29*a**3/2 + 30*a. Find the second derivative of x(n) wrt n.
888*n**2
Let w(s) = s + 4. Let f be w(4). What is the third derivative of 7*o**2 - f*o**4 + o**2 - 8*o**4 wrt o?
-384*o
Suppose 5*j - 35 = -5*b + 2*b, 5*j - 5 = 3*b. Differentiate -19*x**j + 0*x**4 + 8 - 4*x**4 + 18 with respect to x.
-92*x**3
Let k(s) = s**4 + s**2 - s. Let r(h) = -40*h**5 - 3*h**4 - 3*h**2 - 46*h. Let z(m) = -3*k(m) - r(m). Find the second derivative of z(l) wrt l.
800*l**3
Let r(a) = 2*a - 12. Let z be r(7). What is the second derivative of 4*g + 20*g**z - 6*g + 13*g wrt g?
40
Let i be (4/((-24)/(-9)))/(9/48). Find the second derivative of 8*p**3 + 14*p**3 - 27*p + i*p - 31*p wrt p.
132*p
Let v(d) be the third derivative of 101*d**9/504 + 19*d**5/6 - d**2 + 87*d. Find the third derivative of v(c) wrt c.
12120*c**3
Let j(t) be the third derivative of 3/40*t**6 + 0 + 13/60*t**5 + 0*t**3 + 0*t**4 + 15*t**2 + 0*t. Find the third derivative of j(p) wrt p.
54
Let o(v) = v**3 - v**2 - v. Let f(r) = -95*r**4 - r**3 + r**2 + r + 37. Let h(c) = f(c) + o(c). What is the first derivative of h(y) wrt y?
-380*y**3
Let j = 3 - 2. Let q(v) = v**2 + v - 1. Let f be 10 - 15 - (-2)/2. Let i(z) = 13*z**2 - 4. Let c(y) = f*q(y) + j*i(y). Find the second derivative of c(u) wrt u.
18
Let s(u) = 5*u - 20. Let v be s(6). What is the third derivative of -5*q + 9*q + 13*q**2 - 4*q + v*q**6 wrt q?
1200*q**3
Let u(l) be the second derivative of 16*l**3/3 + 157*l**2/2 + 155*l. What is the derivative of u(x) wrt x?
32
Let t(o) be the third derivative of 4*o**2 + 3/20*o**5 + 6*o - 43/24*o**4 + 0*o**3 + 0. What is the second derivat