first derivative of k(d) wrt d?
-2
Let v(w) = 203*w**3 - w + 157. Let f(c) = c**3 - c + 2. Let g(s) = 3*f(s) - v(s). Differentiate g(x) wrt x.
-600*x**2 - 2
Let u(l) be the third derivative of 0 + 1/3*l**5 + 0*l + 0*l**4 - 11/6*l**3 - 8*l**2. What is the derivative of u(k) wrt k?
40*k
Let o(h) = -3*h**2 - h + h + 2. Let u(f) = -f**2 + 1. Let l = -152 + 151. Let k(c) = l*o(c) + 5*u(c). What is the derivative of k(i) wrt i?
-4*i
Suppose -2*x = 5*w - 77, -3*x - 4*w + 168 = -7*w. Find the first derivative of -29 - x*i - 45*i + 125*i wrt i.
29
Let f = -1429 + 2064. Let t = f + -331. Differentiate -304*y - 6*y**2 - 5*y**2 - 1 + t*y with respect to y.
-22*y
What is the second derivative of 449*g**2 - 62*g - 109*g - 246*g - 96*g + 114*g wrt g?
898
Let x(v) be the second derivative of v**8/336 - v**4 + 29*v**2/2 + 34*v. Let k(p) be the first derivative of x(p). What is the second derivative of k(a) wrt a?
20*a**3
Let h = -105 + 136. Suppose -5*u = 4*j - 15, 0 = 4*j - 5*u - 8 - 17. What is the derivative of j*g + 4*g - 23 + h + 3*g wrt g?
12
Let y = -46 + 65. What is the second derivative of 10*s - 11*s - 5*s + 30*s**2 - y*s wrt s?
60
Let k = -2 + 7. Let s be (6/k)/((-2)/(-5)). What is the second derivative of -4*r + 4*r**4 - s*r**4 + 3*r**4 + 3*r wrt r?
48*r**2
Let d be (-2)/12 + (-57)/(-18) + 2. Find the second derivative of 6*z - 14*z**4 - d*z + 9*z - 11*z**4 wrt z.
-300*z**2
Let m = 23 + 3. What is the second derivative of 0*s**2 - s**2 - 4*s + 3*s + m*s wrt s?
-2
Let d(p) be the third derivative of 2*p**7/5 - 149*p**4/8 - 18*p**2. What is the second derivative of d(u) wrt u?
1008*u**2
Let q(l) = -16*l**3 + 7*l**2 + 424*l + 651. Let r(t) = 7*t**3 - 3*t**2 - 212*t - 325. Let o(a) = -3*q(a) - 7*r(a). What is the first derivative of o(d) wrt d?
-3*d**2 + 212
Let r(k) be the first derivative of 5*k + 3*k - 7*k + 3*k**2 - 11. What is the first derivative of r(u) wrt u?
6
Let d(w) be the second derivative of w**9/756 - w**6/60 - 5*w**3/3 + 4*w. Let v(t) be the second derivative of d(t). Find the third derivative of v(c) wrt c.
240*c**2
Differentiate -668*c**3 + 280*c + 278 - 627 - 462 - 280*c wrt c.
-2004*c**2
Let j(a) be the first derivative of 32*a**4 - 2*a**3/3 - 92*a - 414. Find the third derivative of j(d) wrt d.
768
Let q(y) = -9*y + 13*y - 2*y + 2 - 36*y**4. Let w(r) = -r**4 - r. Let o(t) = -q(t) - 8*w(t). Find the second derivative of o(k) wrt k.
528*k**2
Suppose 6*p = 35 - 35. Let k(l) be the second derivative of 0*l**4 + 1/6*l**3 + p*l**2 + 0 + 3/10*l**5 - l. What is the second derivative of k(v) wrt v?
36*v
Suppose 2*m = 5*m. Let c(f) be the first derivative of -3*f**3 + m + f**2 + 0 - 5. What is the second derivative of c(h) wrt h?
-18
Let f(z) be the first derivative of -65*z**3 + 134*z + 156. What is the derivative of f(q) wrt q?
-390*q
What is the third derivative of -56*n**3 + 102*n**3 + 120*n**3 + n**4 + 298*n**3 + 175*n**2 wrt n?
24*n + 2784
Let p be (-4 + -1)*(0 - 1). Suppose 0 = -i - q + 96, 0*q = i - 3*q - 96. Find the third derivative of 96*m**p - i*m**5 + 8*m**6 - m**2 wrt m.
960*m**3
Let z(y) be the third derivative of -y**9/168 + y**8/168 - 11*y**5/60 + 110*y**2. Find the third derivative of z(p) wrt p.
-360*p**3 + 120*p**2
Let m(t) be the third derivative of 287*t**6/120 + 61*t**3/2 - 25*t**2 - t. Find the first derivative of m(l) wrt l.
861*l**2
Let f = -3 + 3. Let v = 4 + f. What is the first derivative of -v*p**3 + 6*p**3 + 0*p**3 + 3 wrt p?
6*p**2
What is the first derivative of 12 - 6*d - 207*d**3 + 205*d**3 + 13 wrt d?
-6*d**2 - 6
Find the first derivative of -13680*x**2 - 7*x - 153 + 13666*x**2 + 35*x wrt x.
-28*x + 28
Let p(v) be the third derivative of -183*v**7/70 - 4*v**4 + 208*v**2 - 2*v. What is the second derivative of p(w) wrt w?
-6588*w**2
Let o(d) = 229*d**2 + 59*d + 7. Let x(u) = -77*u**2 - 20*u - 2. Let v(p) = -2*o(p) - 7*x(p). What is the second derivative of v(z) wrt z?
162
Let p(h) be the second derivative of -6*h**2 + 0*h**3 + 0*h**4 - 1/3*h**6 + 0 - 13*h + 0*h**5. What is the derivative of p(c) wrt c?
-40*c**3
Let k(a) = 7*a**2 + a. Let c be k(-1). Suppose 2*r = 4*o + 20, -4*r - 2 = 4*o - c. Find the second derivative of 0*l**4 + 0*l**4 - 2*l**r + 3*l + 4*l**4 wrt l.
24*l**2
Suppose -115 = 5*o - 45. Let y = -10 - o. Find the first derivative of -4 + 48*q**3 - 48*q**3 + 0 - q**y wrt q.
-4*q**3
Differentiate -11*v + v - 13*v - 27*v - 177 with respect to v.
-50
Let j = 5 - -3. Suppose 2*l + j = 4*a, -a + 5*a = 5*l + 8. Find the second derivative of 0*y + y - 5*y**a + 7*y wrt y.
-10
Let f = 13 - 14. Let t be (1 + -4)/f + -1. Differentiate 4*a**3 + t + 6*a**3 - a**3 - 2*a**3 with respect to a.
21*a**2
Let q(m) be the second derivative of 0*m**2 + 20 + 2*m**4 + 0*m**3 - 9/4*m**5 + m. What is the third derivative of q(a) wrt a?
-270
Let y = 20 + 9. Find the third derivative of -48*z**2 - z**5 + 26*z**2 + y*z**2 wrt z.
-60*z**2
Suppose -2*z + 6*z - 4 = 0. Let b be z + (-1 - (2 - 4)). What is the derivative of 5 - 1 - 2 - b*s**2 - 4 wrt s?
-4*s
Let r(z) = 2*z + 4. Let j be r(9). What is the third derivative of -j*g**5 - 23*g**5 + 50*g**5 + 11*g**2 wrt g?
300*g**2
Let r(l) be the second derivative of 3/2*l**2 - 13*l + 0 + 5/6*l**3. Let x(z) = -1. Let t(w) = 2*r(w) + 18*x(w). Differentiate t(n) wrt n.
10
Let h = 8 - 6. Let c = 86 + -83. What is the second derivative of -21 + 3*o + 21 - h*o**c wrt o?
-12*o
Let c(o) = 42*o**3 - 2*o**2 + 67. Let g(z) = -82*z**3 + 5*z**2 - 135. Let w(m) = 5*c(m) + 2*g(m). What is the first derivative of w(t) wrt t?
138*t**2
Let x(p) be the second derivative of 16*p**6/15 - p**4/4 - p**3/6 - 195*p**2/2 + 333*p. Find the second derivative of x(h) wrt h.
384*h**2 - 6
Let b(m) = m**3 - 16*m**2 + 16*m - 13. Let n be b(15). Suppose -2*r + c = -n, 5*r = 6*c - c - 5. Differentiate 7 + 13*o**3 + 12*o**r - 25*o**3 + 5*o**4 wrt o.
20*o**3
Let i(q) be the second derivative of -13*q**6/120 - q**5/15 - 5*q**2/2 - 2*q. Let h(v) be the first derivative of i(v). Find the third derivative of h(k) wrt k.
-78
Let b(y) be the first derivative of 239*y**5/5 + 170*y**3/3 - 502. Find the third derivative of b(s) wrt s.
5736*s
Let k(v) be the first derivative of 101*v**6/2 + 2*v**3/3 + 327*v**2/2 - 43. Find the third derivative of k(o) wrt o.
18180*o**2
Let f be 1/((-8)/(-28) - 11/63). What is the third derivative of f*y**6 - 20*y**6 + 30*y**6 + 16*y**2 wrt y?
2280*y**3
What is the third derivative of -15*n**3 - 12*n**4 + 7*n**3 + 4*n**3 + 77*n**2 wrt n?
-288*n - 24
Suppose 0 = -5*c - j + 786, -4*c - j + 456 = -172. Let l = c - 111. What is the third derivative of -47*f**4 + l*f**4 - 2*f**6 - 4*f**2 wrt f?
-240*f**3
Let w(c) be the second derivative of -c**5/30 + c**4/3 - 6*c**2 - 10*c. Let f(h) be the first derivative of w(h). Find the second derivative of f(s) wrt s.
-4
Let z(f) be the first derivative of 94*f**6 + 3*f**2 + 22*f - 130. What is the second derivative of z(s) wrt s?
11280*s**3
What is the second derivative of -1 + 55*w**4 - 49*w + 164290*w**3 - 164290*w**3 - 2*w wrt w?
660*w**2
Let g(w) be the first derivative of 9*w**7 - w**6/6 + w**3 + 59*w + 477. What is the third derivative of g(m) wrt m?
7560*m**3 - 60*m**2
Suppose -3*m = -5*m + 8. Let a = m - 4. What is the third derivative of 3*u**3 - 3*u**2 - 2*u**2 + a*u**2 wrt u?
18
Let g(y) = -139*y + 23. Let i(m) = -6*m - 1. Let r(u) = -g(u) + 6*i(u). Differentiate r(p) wrt p.
103
Let y(z) = -21*z**4 - 55*z**2 + 288. Let v(c) = -9*c**4 - 27*c**2 + 143. Let h(f) = 5*v(f) - 2*y(f). Find the first derivative of h(u) wrt u.
-12*u**3 - 50*u
Let d = 64 - 62. Find the first derivative of 28*o**2 - 51*o**2 + 22*o**d - 11 wrt o.
-2*o
Let y(m) = 62*m**3 - 2*m**2 - 3*m + 3. Let q be y(1). Find the second derivative of 60 - 12*k - 32*k**4 - 18*k - q wrt k.
-384*k**2
Let o(g) be the first derivative of 27*g**5/5 + 5*g**3/3 - 583*g + 128. What is the first derivative of o(c) wrt c?
108*c**3 + 10*c
Let y(o) be the second derivative of -27*o**5/5 - 13*o**4/6 + o**3/3 + 128*o. What is the third derivative of y(a) wrt a?
-648
What is the second derivative of -1739*c**4 - 39*c + 1741*c**4 - 90*c - 107*c**2 wrt c?
24*c**2 - 214
Let j(v) be the first derivative of -2*v**5/5 + v**4/2 - 44*v**3/3 - 409. Find the third derivative of j(w) wrt w.
-48*w + 12
Suppose -6*z =