38
Let w(m) = -m**2 + m - 1. Suppose 4*c = c + 3*l + 9, -3*c - 3 = 3*l. Let f(k) = 27*k**2 - k - 24. Let t(q) = c*f(q) + w(q). Differentiate t(u) wrt u.
52*u
Let m(z) be the first derivative of 0*z - 7/2*z**2 - 1/3*z**3 - 26. What is the second derivative of m(v) wrt v?
-2
Let h(s) be the second derivative of -7*s**4 + 43*s**3/6 + 13*s. What is the second derivative of h(a) wrt a?
-168
Let z(f) = f**3 - 12*f**2 - 13*f + 6. Let r be z(13). Let i(a) = a**2 - 5*a - 2. Let y be i(r). Find the second derivative of p**4 + p - y*p - p wrt p.
12*p**2
Let i(s) be the first derivative of 2*s**5/5 + 9*s**4/4 + s**3/3 + 20*s - 75. What is the third derivative of i(g) wrt g?
48*g + 54
Let j(w) be the third derivative of w**6/120 - 11*w**3/2 - 59*w**2. Differentiate j(i) wrt i.
3*i**2
Let v(t) be the first derivative of 3*t**5/4 + 9*t**2 - 12*t + 13. Let i(m) be the first derivative of v(m). Differentiate i(f) with respect to f.
45*f**2
Let w(r) = -5*r - 1. Suppose 0*n - 2*n = 4, 0 = -2*v - 3*n - 8. Let d be w(v). What is the second derivative of -4*s**5 + 4*s**5 + 2*s**5 + 2*s**5 + d*s wrt s?
80*s**3
Suppose -15 = j - 9. Let p be 0 + 3*(-10)/j. Find the second derivative of 6*s + s + p*s - 2*s**4 - 3*s wrt s.
-24*s**2
Let p(n) be the second derivative of -61*n**3/2 - 169*n**2/2 + 32*n - 2. Differentiate p(c) with respect to c.
-183
Let x(n) be the third derivative of -11*n**5/30 + 101*n**4/24 - 209*n**2. Find the second derivative of x(s) wrt s.
-44
Let v = 748 + -746. Let g(u) be the second derivative of 0 + 2*u**v - 2/3*u**3 - u. What is the first derivative of g(m) wrt m?
-4
Let n(l) = l**2 + l + 1. Let s be n(-2). Differentiate -a**3 - 2 + a**s + 4*a**3 + 17 wrt a.
12*a**2
Let v(t) = -36*t**4 + 5*t**2 + 20*t - 11. Let p(a) = -18*a**4 + 2*a**2 + 9*a - 6. Let j(l) = 9*p(l) - 4*v(l). What is the second derivative of j(y) wrt y?
-216*y**2 - 4
Let k(a) be the first derivative of -3 + 0*a + 5/2*a**2 + 7/24*a**4 - 7/6*a**3. Let u(j) be the second derivative of k(j). Differentiate u(l) wrt l.
7
Let j = -80 - -86. Find the third derivative of j*k**5 + 46*k**2 - 89*k**2 + 52*k**2 wrt k.
360*k**2
Let h be ((-12)/(-40))/(81/225). Let p(m) be the third derivative of 0*m**4 + 0 + 0*m - h*m**3 + 1/20*m**5 + 5*m**2. What is the first derivative of p(d) wrt d?
6*d
Let k(o) be the first derivative of 5/3*o**3 + 0*o**2 + 1/4*o**4 + 13 + 0*o. What is the third derivative of k(v) wrt v?
6
Let m(s) be the first derivative of 103*s**4/4 + s**3 - 8*s**2 - 79. Find the third derivative of m(q) wrt q.
618
Let n be 40/18 - 2/9. Let x = -259 + 268. Find the second derivative of -5*p**5 + x*p**n - 9*p**2 + p**5 + 5*p wrt p.
-80*p**3
Let n(s) = 87*s**4 - 6*s**3 + 4*s + 2. Let j(m) = 173*m**4 - 11*m**3 + 9*m + 4. Let q(b) = -6*j(b) + 11*n(b). Find the second derivative of q(d) wrt d.
-972*d**2
Let y(c) be the second derivative of -c**7/120 - c**6/180 - 3*c**3/2 - 11*c. Let g(v) be the second derivative of y(v). Find the third derivative of g(m) wrt m.
-42
Let m(a) be the third derivative of -235*a**8/336 + 131*a**5/30 - a**2 - 149. Find the third derivative of m(t) wrt t.
-14100*t**2
Let d(p) be the third derivative of p**8/168 - p**6/36 + 5*p**3/3 + 8*p**2. Let l(y) be the first derivative of d(y). Find the third derivative of l(g) wrt g.
240*g
Let m(z) = -43*z + 81. Let u(q) = -41*q + 82. Let n(f) = -2*m(f) + 3*u(f). Find the first derivative of n(v) wrt v.
-37
Let v be (8/6)/4*48. Let b = 22 - v. What is the derivative of -b - p + p + 2 - 9*p**2 wrt p?
-18*p
Let z(b) = 303*b**2 + 64*b - 19. Let d(u) = -u**2 - u - 4. Let x(o) = 4*d(o) - z(o). What is the second derivative of x(a) wrt a?
-614
Let h be (-2)/16 - 7/560*-10. Let o(j) be the second derivative of -7/12*j**4 + 0*j**3 + h - 6*j - 3*j**2. Differentiate o(g) wrt g.
-14*g
Let a(b) = 40*b**2 + 44*b + 11*b**2 + 2*b - b. Let n(j) = -128*j**2 - 112*j. Let y(r) = 12*a(r) + 5*n(r). Find the second derivative of y(x) wrt x.
-56
Let u be ((-102)/(-9))/(2/6). What is the derivative of -30*y**4 + 5 + u + 4 wrt y?
-120*y**3
Let b(d) = 2*d + 28. Let p be b(-12). What is the second derivative of w**4 - 11*w + 4 - p + 16*w wrt w?
12*w**2
Suppose 0 = o + 3*g - 21, 6*o + 2*g + 31 = 7*o. What is the second derivative of 7*i - o*i**3 + 8*i**3 - 31*i wrt i?
-114*i
Find the second derivative of 111*r**3 + 86*r - 36*r + 99*r - r wrt r.
666*r
Let d(z) be the second derivative of z**6/5 + 3*z**5/4 - 67*z**4/6 - 335*z. Find the third derivative of d(p) wrt p.
144*p + 90
Let x(u) be the third derivative of 0*u**3 - 12*u**2 + 0*u + 0 + 2/3*u**4 + 1/12*u**5. What is the second derivative of x(a) wrt a?
10
Let n(w) be the first derivative of -17*w**6/60 - 23*w**3/6 - 18*w**2 + 30. Let c(t) be the second derivative of n(t). Differentiate c(h) wrt h.
-102*h**2
Let t(f) be the first derivative of 3 - f + f**2 - 3*f - 7 - 7*f. Differentiate t(l) with respect to l.
2
Let x(s) be the second derivative of -19*s**4/6 - 62*s**2 - 65*s. Differentiate x(c) wrt c.
-76*c
What is the third derivative of -144*r**2 - 32*r**3 - 26 + 13 + 956*r**2 + 13 wrt r?
-192
What is the second derivative of -405*s**2 + 24*s**5 + 339*s - 418*s**2 + 823*s**2 wrt s?
480*s**3
Let l(p) = p**4 - 19*p**3 - 2*p**2 - 325. Let f(n) = -n**4 + n**2. Let i(r) = 2*f(r) + l(r). Differentiate i(z) wrt z.
-4*z**3 - 57*z**2
Suppose 5*q - 5*r + 10 = 0, 6*q + 5 = q + 4*r. Find the first derivative of -q*y**3 - 3 + 19*y - 18*y + 7*y**3 wrt y.
12*y**2 + 1
Let k(f) be the second derivative of 123*f**5/10 + 31*f**4/6 + 13*f + 9. What is the third derivative of k(m) wrt m?
1476
Suppose 4*a - 12 = -2*a. Let b(j) be the first derivative of -28*j**2 + 0 - 2*j + 32*j**a + 3. What is the first derivative of b(w) wrt w?
8
Let s(t) be the first derivative of 191*t**6/6 - t**4/4 + 31*t**3/3 - 401. Find the third derivative of s(f) wrt f.
11460*f**2 - 6
What is the derivative of 46*q**4 + 61 + 35 - 4 - 437*q**4 - 27*q**4 wrt q?
-1672*q**3
Let o(w) = -3*w - 28. Let t be o(-10). Differentiate -20*i**2 + 2 - 21*i**t - 29 with respect to i.
-82*i
Let m(f) be the third derivative of 0*f + 19/120*f**6 + 0 + 0*f**5 + 6*f**3 + 0*f**4 - 19*f**2. What is the derivative of m(a) wrt a?
57*a**2
Let x(t) be the second derivative of 4*t**7/21 - t**5/5 - t**3/3 - 54*t. What is the second derivative of x(l) wrt l?
160*l**3 - 24*l
What is the third derivative of -11 - 10*u**2 - 18*u**3 + 11 + 13*u**2 wrt u?
-108
Let i(u) be the third derivative of 5*u**4/6 + u**3/6 + u**2. Let w(k) = -59*k - 2. Let m(n) = 17*i(n) + 6*w(n). What is the derivative of m(r) wrt r?
-14
Let x(m) be the first derivative of -40*m**2 + 63*m - 42. Differentiate x(c) with respect to c.
-80
Let v(o) be the third derivative of 3*o**8/56 - o**5/10 + 5*o**4/24 + 2*o**2 - 18. What is the third derivative of v(d) wrt d?
1080*d**2
Let i(u) be the second derivative of 15*u**8/56 - u**5/20 + 59*u**4/12 + 60*u. Find the third derivative of i(y) wrt y.
1800*y**3 - 6
Let z be ((-6)/8)/(14/16 - 1). Find the second derivative of z*c - 19*c + 6*c + 2*c - 5*c**4 wrt c.
-60*c**2
Suppose 4*u - 6*u = z - 4, 0 = -3*u + 4*z - 16. Let t(a) be the third derivative of 5*a**2 + 0*a + 5/6*a**3 + u - 1/4*a**4. Differentiate t(j) wrt j.
-6
Let j(i) = -7*i**5 - i + i**2 + 5 - i**3 - 5 + 4*i**5. Let u(r) = r**3 + r**2 + r. Let s(y) = 4*j(y) + 4*u(y). What is the third derivative of s(w) wrt w?
-720*w**2
Let r(y) be the second derivative of y**7/252 - y**6/720 - 7*y**4/12 + 5*y. Let v(c) be the third derivative of r(c). Find the second derivative of v(m) wrt m.
20
Let h(v) be the third derivative of 2*v**7/105 - v**6/120 - 4*v**5/15 + v**3/3 - v**2 + 28. What is the third derivative of h(k) wrt k?
96*k - 6
What is the second derivative of 5*x + 381 - 2*x - 400 - 473*x**3 - 13*x**2 + 14*x**2 wrt x?
-2838*x + 2
Let j(b) be the second derivative of -58*b**6/15 + b**5/20 + b**2/2 + 7*b - 4. Differentiate j(y) wrt y.
-464*y**3 + 3*y**2
Let v(h) = 242*h**3 + 9*h**2 + 10*h - 13. Let r(o) = -60*o**3 - 2*o**2 - 2*o + 3. Let k(x) = -9*r(x) - 2*v(x). What is the second derivative of k(m) wrt m?
336*m
Let m be 6*1/2 - 3. Suppose m = 5*v + l, -3*l + l = 0. What is the third derivative of -2*r**6 + v*r**6 + 8*r**6 - 5*r**2 wrt r?
720*r**3
Let v = 64 + -54. Differentiate 11 - 23*l**2 - v - 39 wrt l.