37 + 38. Let p(b) = -b**3 - b**2 - b. Let m(i) = a*y(i) + 4*p(i). Find the first derivative of m(g) wrt g.
21*g**2
Let h(s) be the first derivative of -103*s**3/3 + 104*s + 94. What is the derivative of h(t) wrt t?
-206*t
Let h(t) = -4*t**2 - 29. Let i(v) be the first derivative of -3*v**3 - 58*v + 7. Let n(u) = 13*h(u) - 6*i(u). Differentiate n(g) wrt g.
4*g
Let m(k) be the second derivative of -13*k**3 + 40*k**2 - 2*k + 12. What is the first derivative of m(c) wrt c?
-78
What is the third derivative of 925*p + 4*p**2 + 7*p**2 + 67*p**6 - 920*p - 3*p**2 wrt p?
8040*p**3
Let q(t) be the first derivative of 40*t**2 - 40*t + 116. Differentiate q(m) wrt m.
80
Find the second derivative of -2315*z**2 + 22*z - 21*z - 166*z + 2403*z**2 wrt z.
176
Let d(y) be the first derivative of y**4/12 - 3*y**2/2 + 3*y + 6. Let w(m) be the first derivative of d(m). What is the first derivative of w(i) wrt i?
2*i
Find the second derivative of 71*p**3 + 39*p**3 + 2*p**3 - 140 - 17*p**3 + 3*p**2 + 2*p**3 - p wrt p.
582*p + 6
Let r(m) = -2*m - 4. Let x be r(-9). Let u = x - 12. Differentiate 2*y**2 + 7*y**2 - 10*y**2 + 3*y**u + 4 with respect to y.
4*y
Let x(t) be the second derivative of -56*t**5/5 + t**4/6 - 79*t**3/3 - 65*t. Find the second derivative of x(h) wrt h.
-1344*h + 4
Let p(h) = -3*h. Let c be p(-1). Let w(b) = -8*b**2 + 41*b - 3. Let k be w(5). What is the second derivative of -q**3 + 9*q**k - 9*q**2 - q**c - 4*q wrt q?
-12*q
Let i(n) = -3*n**3 - 5*n**2 - 19. Let m = -49 - -39. Let b(a) = -2*a**3 - 2*a**2 - 9. Let u(g) = m*b(g) + 4*i(g). Find the first derivative of u(l) wrt l.
24*l**2
Suppose 0 = -t + 4*m - 17, -4*m + 6*m - 25 = -5*t. What is the second derivative of -4*q + 4*q**t + 12*q**3 - 4*q - 5*q**3 wrt q?
66*q
Find the second derivative of 1255*p - 86*p - 199*p**3 - 523*p wrt p.
-1194*p
Let d = 1 - -3. What is the third derivative of d*f**5 + 3*f**2 + f**2 - 6*f**5 + 4*f**5 wrt f?
120*f**2
Let k(b) be the second derivative of 11*b**6/30 - b**3/2 + 75*b**2/2 - 4*b. What is the derivative of k(w) wrt w?
44*w**3 - 3
Let u(i) be the second derivative of -52*i**7/7 - 5*i**4/12 + 7*i**2/2 - 336*i. Find the third derivative of u(v) wrt v.
-18720*v**2
Let l = 85 - 45. What is the third derivative of 0*k**6 + 14*k**6 - 57*k**2 + l*k**2 wrt k?
1680*k**3
Let y(c) = c**2 - c. Let a(x) = 9*x**2 - 77*x. Let q(s) = a(s) + 3*y(s). What is the second derivative of q(p) wrt p?
24
Let r(k) be the first derivative of -k**3/3 + 5*k**2 + 11*k + 2. Let v be r(11). Find the second derivative of 3*m**3 - m + v*m**3 + 7*m wrt m.
18*m
Let u(j) be the first derivative of 0*j**2 + 3 + 7/5*j**5 + 10*j + 0*j**3 + 0*j**4. What is the derivative of u(m) wrt m?
28*m**3
Let k(b) be the third derivative of 2/3*b**3 - b**2 + 0 + 13/6*b**4 + 3*b. What is the first derivative of k(z) wrt z?
52
Let z(u) = -u**2 + 2. Let k be z(-2). Let d = k + 4. What is the derivative of 28 + 3*l**d - l**2 - 33 wrt l?
4*l
Let v(t) = t**3 + 9*t**2 + 7*t - 4. Let d be v(-8). What is the second derivative of -73*f**d + 40*f**4 + 39*f**4 - 14*f wrt f?
72*f**2
Suppose 12 = 15*m - 14*m. Find the second derivative of 4*z**2 - 25*z**2 + 36*z - m*z**2 - 8*z wrt z.
-66
Suppose 3*o - 5*i - 46 = 0, 3*o + 2*o - 2*i = 45. Let z(j) = -j**2 - 7*j + 70. Let r(l) = -2*l + 23. Let u(f) = o*r(f) - 2*z(f). Differentiate u(g) wrt g.
4*g
Let c(s) = -6*s**2 - 3*s. Let q(a) be the first derivative of -a**3 - a**2 - 3. Let z(v) = 3*c(v) - 5*q(v). Find the second derivative of z(r) wrt r.
-6
What is the second derivative of -589*q - 27*q**3 + 187*q**4 + 39*q + 27*q**3 - 549*q**4 wrt q?
-4344*q**2
Let w(f) = 2*f + 2. Let t be w(5). Let y = -9 + t. What is the third derivative of -7*r**3 + 7*r**y - r**2 - 3*r**5 wrt r?
-180*r**2
Let v(i) be the second derivative of i**8/336 + i**4/3 - i**3/6 - 17*i. Let g(h) be the second derivative of v(h). Differentiate g(r) with respect to r.
20*r**3
Let h(u) be the first derivative of -u**3/6 + 21*u**2/2 + 20*u + 13. Let i(t) be the first derivative of h(t). What is the first derivative of i(k) wrt k?
-1
Let r(w) = 9*w + 2. Let h be r(-3). Let f = -22 - h. Differentiate 5 - 11*u - f - 9*u + 25*u with respect to u.
5
Let o(z) = 108*z**3 + 7*z**2 + 6*z - 7. Let i(b) = 325*b**3 + 20*b**2 + 17*b - 22. Let s(a) = -6*i(a) + 17*o(a). What is the third derivative of s(m) wrt m?
-684
Let d(f) be the second derivative of -f**6/360 + f**4/4 + 13*f**3/6 - 17*f. Let z(y) be the second derivative of d(y). Differentiate z(h) with respect to h.
-2*h
What is the third derivative of 13*l**3 - 84*l + 112*l - 28*l + 520*l**2 wrt l?
78
Let p(o) = -o**5 - o**4 - o - 1. Let q(m) = 68*m**5 - 7*m**4 - 65*m - 6. Let d(j) = 6*p(j) - q(j). Find the second derivative of d(f) wrt f.
-1480*f**3 + 12*f**2
Let f be (7 + -19)*2/(-4). Let g(u) = -u**3 + 5*u**2 + 7*u - 2. Let c be g(f). Differentiate 5 - 2*w**4 - 1 + 14*w**c with respect to w.
48*w**3
Let g(b) = 7*b**4 - 7*b**2 - 4*b - 28. Let p(a) = -a**4 + a**2 + 2*a - 1. Let f(d) = -g(d) - 2*p(d). Differentiate f(o) with respect to o.
-20*o**3 + 10*o
Let k(n) = n**4 + n**3 - n - 1. Let i(q) = -54*q**4 - 4*q**3 + 4*q - 107. Let g(u) = -i(u) - 4*k(u). What is the derivative of g(s) wrt s?
200*s**3
Let n(s) = s**2 - 3*s**3 - 4*s**2 + s**2 - s. Let o be n(-1). What is the first derivative of -3 - 15*x**o + 15*x**2 + 2*x**4 wrt x?
8*x**3
Let a = -3 + 5. What is the third derivative of 2*v**2 - v**3 + 4*v**a + v**2 - v**2 wrt v?
-6
Let x(t) be the first derivative of 12 + 13/2*t**2 - 6*t. Find the first derivative of x(m) wrt m.
13
Let z(b) be the third derivative of 3*b**4/2 + 25*b**3/6 - 4*b**2. Let s(p) = 37*p + 26. Let x(m) = 4*s(m) - 3*z(m). Differentiate x(v) with respect to v.
40
Find the second derivative of 9*q - 6 - 26*q**3 - 71*q**3 + 52*q**3 wrt q.
-270*q
What is the derivative of -168*m**4 - 344 - 219*m**4 + 1109 + 327*m**4 + m**3 wrt m?
-240*m**3 + 3*m**2
Find the second derivative of 11*n**3 - 3 - 22*n**3 + 3*n**2 - 31*n - 133*n**3 + 2 - n**2 wrt n.
-864*n + 4
Find the third derivative of -56847*u**2 + 56850*u**2 - u**4 - 183*u**6 + u**4 + 18*u wrt u.
-21960*u**3
Let p = 55 + -49. Find the third derivative of -5*v - 8*v**4 - 5*v**2 + 11*v - p*v wrt v.
-192*v
Suppose 0 = 10*o - 8*o + 30. Let m = 17 + o. Find the third derivative of z**m + 14*z**5 - 11*z**5 + 5*z**2 wrt z.
180*z**2
Let b(w) be the first derivative of -793*w**4/4 - 104*w**2 + 403. Find the second derivative of b(d) wrt d.
-4758*d
Find the third derivative of -3 + 1 + 125*r**2 - 5*r**6 - 149*r**2 + 29*r**5 wrt r.
-600*r**3 + 1740*r**2
Find the first derivative of -99 + 308*w**3 - 149*w**3 - 86*w**3 wrt w.
219*w**2
Let b(a) be the first derivative of 7*a**5/10 - 9*a**2 - 2*a - 9. Let n(x) be the first derivative of b(x). Differentiate n(t) with respect to t.
42*t**2
Let w(x) be the first derivative of 9/2*x**2 + 13*x - 24. What is the derivative of w(i) wrt i?
9
Find the third derivative of 2*y**4 + 445*y**2 - 3 + 3 - 73*y**6 - 330*y**2 wrt y.
-8760*y**3 + 48*y
Let w(u) be the second derivative of -19*u**6/15 + u**4/2 - 2*u**2 + 8*u. What is the third derivative of w(g) wrt g?
-912*g
Suppose 5*s - 16 = 19. Let r be (15/(-25))/1 - 18/(-5). What is the derivative of -2*t**3 - 8*t**3 - r*t**3 + s wrt t?
-39*t**2
Let h(j) be the third derivative of -j**10/560 + j**6/180 - j**3/6 - 10*j**2. Let g(s) be the first derivative of h(s). Find the third derivative of g(y) wrt y.
-1080*y**3
Suppose 2*f = 5*f. Let i(j) = j**2 + 5. Let q be i(f). Find the third derivative of 3*p**q - 5*p**5 - 4*p**2 + 0*p**5 - p**2 wrt p.
-120*p**2
Let h(w) = 27*w**4 + 3*w**3 - 71*w + 4. Let r(s) = 29*s**4 + 2*s**3 - 70*s + 3. Let t(x) = 2*h(x) - 3*r(x). Find the second derivative of t(j) wrt j.
-396*j**2
Let y(x) = -15*x**4 + 6*x**2 + 5. Let z = 124 - 119. Let u(t) = -14*t**4 + 5*t**2 + 4. Let m(g) = z*u(g) - 4*y(g). What is the third derivative of m(i) wrt i?
-240*i
Let p(s) be the second derivative of s**9/84 - s**5/12 - 9*s**2/2 - 21*s. Let w(z) be the first derivative of p(z). Find the third derivative of w(k) wrt k.
720*k**3
Let i(a) be the second derivative of -1/4*a**4 - 3/2*a**3 + 2*a**2 + 0*a**5 + 18*a - 1/21*a**7 + 0*a**6 + 0. Find the second derivative of i(m) wrt m.
-40*m**3 - 6
Find the third derivative of -127*h +