7*p**2 + 33. Let b be (-28)/(-6)*6/(-4). Let n(k) = b*w(k) + 2*x(k). Differentiate n(z) wrt z.
8*z**3
Suppose 14*f = 15*f - 11. What is the derivative of 10*y + 0 - 2*y - 6 + f*y wrt y?
19
What is the second derivative of -919*c + 67*c**3 - 2*c**4 + 719*c + c**2 + 4*c**4 - c**2 wrt c?
24*c**2 + 402*c
Let q = 6 - 1. Let n be (0 - 17)/(2*(-2)/4). What is the second derivative of -z**q - 17 + 7*z + n wrt z?
-20*z**3
Let k be (3 - (-20)/(-8))*(2 + -2). Let z(w) be the first derivative of -5 - 1/3*w**3 + k*w + 0*w**2 + w**4. Find the third derivative of z(r) wrt r.
24
Let d(w) be the third derivative of w**6/12 - w**5/30 - 95*w**3/2 - 272*w**2. What is the derivative of d(i) wrt i?
30*i**2 - 4*i
Let z(s) be the first derivative of -s**7/3 - 11*s**3/6 + 22*s + 6. Let l(r) be the first derivative of z(r). What is the second derivative of l(p) wrt p?
-280*p**3
Let a(v) be the second derivative of 11*v**5/10 + 5*v**4/6 - 2*v**3/3 - 50*v. What is the third derivative of a(h) wrt h?
132
Let u = -12 + 12. Let q = 3 - u. What is the second derivative of 7*w - q*w**3 - w**2 + w**2 + 0*w**3 wrt w?
-18*w
Let a(k) be the third derivative of -79*k**6/24 + 15*k**5 - 175*k**2. What is the third derivative of a(d) wrt d?
-2370
Let o(z) be the second derivative of 7*z + 0 + 0*z**6 + 0*z**4 - 5/2*z**3 + 0*z**2 + 0*z**5 - 10/21*z**7. Find the second derivative of o(s) wrt s.
-400*s**3
Find the first derivative of 101 - 100*w**4 + 54*w**4 + 29*w**4 wrt w.
-68*w**3
Suppose -50 = -2*q - 0*q. Let v = q + -23. What is the third derivative of -s**3 + 8*s**3 + s**3 + 9*s**v - 6*s**3 wrt s?
12
Let q(l) be the third derivative of 0*l + 19*l**2 + 0 + 7/2*l**3 + 0*l**4 - 2/5*l**5. What is the first derivative of q(a) wrt a?
-48*a
Let i(k) = -79*k**2 - 167*k. Let g(x) = -x**2 + 3*x. Let a(p) = -6*g(p) - i(p). What is the second derivative of a(y) wrt y?
170
Let j(f) be the first derivative of 3*f**4 + 10*f**6 - 6*f**6 + 4 - 3*f**4 + 2*f**2. Find the second derivative of j(i) wrt i.
480*i**3
Let u(m) be the first derivative of 101*m**4/4 + 61*m**3/3 - m**2 - 30. What is the third derivative of u(s) wrt s?
606
Let h = -3 + 6. Suppose -4*c = h*c - 56. What is the second derivative of -8*a**4 + 16*a**4 + 6*a**5 - c*a**4 + 10*a wrt a?
120*a**3
Let i(r) be the third derivative of -109*r**8/336 - 643*r**4/24 - 459*r**2. What is the second derivative of i(n) wrt n?
-2180*n**3
Let t(y) be the third derivative of -y**7/35 + 3*y**6/40 - 13*y**3/2 - 5*y**2 - 3. Differentiate t(z) with respect to z.
-24*z**3 + 27*z**2
Let a(y) be the first derivative of -43*y**6/3 - 25*y**2/2 - y + 81. Find the second derivative of a(o) wrt o.
-1720*o**3
Let q = -40 - -55. What is the first derivative of 18 + 9 - 15*s**2 + q*s**2 + 15*s**4 wrt s?
60*s**3
Let t(x) be the first derivative of -19*x + 20 + 0*x**2 - 7/3*x**3. What is the derivative of t(r) wrt r?
-14*r
Let x(w) be the third derivative of -31*w**5/12 - w**4 - 18*w**2. What is the second derivative of x(z) wrt z?
-310
Let y(u) be the second derivative of 3/20*u**5 + 0 + 0*u**3 + 0*u**4 - 12*u - 5*u**2. Differentiate y(b) with respect to b.
9*b**2
Let g(p) = 8*p**2 - 4*p + 2. Let v(f) = 9*f**2 - 5*f + 3. Suppose b = 5*b - 20. Let t(j) = b*g(j) - 4*v(j). Find the first derivative of t(n) wrt n.
8*n
What is the third derivative of -4481*v**3 - 2 + 231*v**2 + 5 - 1 + 4849*v**3 wrt v?
2208
Suppose 2*k - 8 = -a, a - 7 = -3*k + 2*a. Suppose -k*w - 22 = -5*y, -2*y - 3*w = -5 - 8. Find the second derivative of -o**y + o**5 - 8*o + 18*o + o**5 wrt o.
20*o**3
Let p be (10 - (4 + -3)) + -2. Suppose 2*a + 3*a = -b + p, 2*a = -b + 4. Find the second derivative of -3*j**4 + b*j**4 - j + 6*j + 2*j wrt j.
-12*j**2
Let s(v) = -2*v**3 - v**2 - 1. Let b(k) = -201*k**3 - 5*k**2 - 39. Let y(q) = b(q) - 5*s(q). What is the derivative of y(i) wrt i?
-573*i**2
Let c(q) be the first derivative of 3*q**5/5 + 11*q**3/3 - 22*q + 34. Let l(x) be the first derivative of c(x). Find the second derivative of l(j) wrt j.
72*j
Let a(b) = b**2 + 6*b + 7. Let p be a(-5). Find the third derivative of 0*k**2 - 3*k**2 + 11*k**2 - 2*k**6 + k**p wrt k.
-240*k**3
Suppose 0 = -4*y + 18 + 30. What is the third derivative of -j**2 + 102 - 102 - y*j**4 - 4*j**4 wrt j?
-384*j
Let w = 11 - 11. Suppose 6 = -w*t + t. What is the derivative of 2*a - 5*a - 4*a + t*a - 2 wrt a?
-1
Let q(t) = -1499*t + 1468. Let v(l) = -500*l + 489. Let n(r) = 4*q(r) - 11*v(r). What is the derivative of n(x) wrt x?
-496
Let v be (2/5)/((-4)/(-20)). Suppose 5*r - v*b - 18 = 2*b, -5*b - 10 = 0. What is the derivative of -10*k + 10*k - r - 1 - 6*k**4 wrt k?
-24*k**3
Let u(q) = q + 8. Let a be u(-6). Let y be 13/6 + a/(-12). Find the second derivative of 3*t**5 + 3*t**5 + t - 2*t + y*t wrt t.
120*t**3
Let n(i) = -3*i + 6. Let m be n(6). Let g = m + 15. Find the first derivative of 4*w**3 - 3*w**3 - 4 + w**g - 3 wrt w.
6*w**2
Let x(c) = -4*c**4 + 5*c**3 + c**2 + 37*c + 11. Let n(i) = i**4 - i**3 + i**2 - 2. Let t(u) = 5*n(u) + x(u). Find the second derivative of t(j) wrt j.
12*j**2 + 12
What is the third derivative of -18*i**4 + 1003*i**2 - 1356*i**2 + 2*i - 14*i**4 wrt i?
-768*i
Suppose -6*r + 8*r + 8 = 2*f, 3*f - 2*r = 8. Let q(l) be the second derivative of -l**2 + f*l**3 + 0 - 1/6*l**4 - 3*l. Find the first derivative of q(m) wrt m.
-4*m
What is the third derivative of -11*b - 44*b**2 - 238*b**5 + 9*b - 102*b**4 + 15*b**2 + 236*b**5 wrt b?
-120*b**2 - 2448*b
Let q be (-2 + 3)/(3/(-6)) - -5. Find the first derivative of 4 - 4*f**q - f**3 - 9 + 4 wrt f.
-15*f**2
Let l(i) = 16*i**2 - 1. Let v be l(1). Let t(g) = -g + 17. Let h be t(v). Differentiate -5*m**h - m**2 - 5 - 2 with respect to m.
-12*m
Let w(j) be the third derivative of 143*j**6/120 + 67*j**4/12 + 5*j**2 - 17*j. Find the second derivative of w(t) wrt t.
858*t
Suppose 2*p + 4*o + 184 = 0, 5*p - 6*o + 4*o = -412. Let x be ((-1)/(-2))/((-7)/p). What is the third derivative of 9*r**6 + 4*r**2 + 14*r**6 - 22*r**x wrt r?
120*r**3
Let v(y) = -92*y**4 - 5*y**3 - 42*y**2 - 7. Let i(k) = -31*k**4 - 2*k**3 - 14*k**2 - 2. Let r(a) = -7*i(a) + 2*v(a). What is the third derivative of r(c) wrt c?
792*c + 24
Differentiate 40*u**3 - 4 + 0*u**2 - 44*u**3 - u**2 + 3*u**2 wrt u.
-12*u**2 + 4*u
Suppose 18 = x + 2*x. Let c = 56 + -50. What is the third derivative of -7*k**6 - 4*k**6 - c*k**2 + 13*k**x wrt k?
240*k**3
Differentiate 47*a**2 + 332 + a**3 - 50 - 16*a**2 with respect to a.
3*a**2 + 62*a
Let y(v) be the third derivative of v**5/60 - 7*v**4/24 - 8*v**3/3 - 5*v**2. Let t be y(9). What is the derivative of 1 - 5*u**3 - 7*u**3 + u**3 - t wrt u?
-33*u**2
Suppose 3 = 3*l - 9. Let w(k) be the first derivative of 0*k + 0*k**3 - k**2 - 2 + 1/4*k**l. What is the second derivative of w(v) wrt v?
6*v
Suppose 9 = 2*x + 17. Let k be 1/x + (-153)/(-36). Find the third derivative of -7*b**4 - 3*b**4 - 7*b**2 + 3*b**k - 2*b**2 wrt b.
-168*b
Let k(o) = 7*o**2 + 7*o. Let y(d) = 3*d**2 + 3*d. Let j(p) = -2*k(p) + 5*y(p). Let t be j(1). Find the first derivative of 5 + 5*n**t + 4*n**2 + 9 wrt n.
18*n
Let t be (-7)/28 - 2/(-8). Suppose t = -2*u + 3*q - 5, 5*u + q + 1 - 14 = 0. Find the third derivative of -3*w**2 - 3*w**u - 2*w**6 + 4*w**6 - 4*w**6 wrt w.
-240*w**3
Let j(a) = a**3 - 27*a**2 + 80. Let m(t) = 3*t**3 - 81*t**2 + 242. Let o(v) = 7*j(v) - 2*m(v). Differentiate o(h) wrt h.
3*h**2 - 54*h
Let r be (1/(-9)*-6)/((-4)/(-114)). Differentiate -5*u + 8 + 3*u + 2*u - r*u with respect to u.
-19
Differentiate 29 + 48*i**3 + 118 + 11 + 49 + 201 with respect to i.
144*i**2
Let z(n) = -2*n**2 - 16*n**3 + 13 - 13 + 7*n. Let p(t) = 15*t**3 + 2*t**2 - 6*t. Let h(q) = 7*p(q) + 6*z(q). What is the third derivative of h(i) wrt i?
54
Find the second derivative of -5 - 18*j + 3 + 2 + 2*j**3 + 3 - j wrt j.
12*j
What is the third derivative of p**2 + 15*p**3 - p**3 + 22*p**3 - 3*p**2 + 4 wrt p?
216
Let b(k) be the first derivative of k**4/4 - 5*k**3/6 + 3*k**2/2 - 1. Let m(j) be the second derivative of b(j). Find the first derivative of m(n) wrt n.
6
Let r(s) = -2*s**3 + 20*s**2 + 79. Let p(w) = 5*w**3 - 41*w**2 - 159. Let d(o) = 3*p(o) + 7*r(o). Find the first derivative of d(y) wrt y.
3*y**2 + 34*y
Let b(q) be the second derivative of -q**8/3360 + q**7/72 - 11*q**4/6 + 15*q. Let h(s) be the third de