 Let h = 3 + -4. Let v(z) = h*p(z) + j(z). Find the second derivative of v(c) wrt c.
-32
Let q(m) = -256*m - 213. Let i(s) = -250*s - 214. Let y(a) = -6*i(a) + 5*q(a). Find the first derivative of y(f) wrt f.
220
Let k(d) be the second derivative of -171*d**5/10 - d**4/6 + 47*d**2 - 182*d. Find the third derivative of k(g) wrt g.
-2052
Suppose -4*r + 4 = z, 0 = -z + 2 - 6. Find the third derivative of 30*j**5 - 2749*j + 5*j**r + 2749*j wrt j.
1800*j**2
Let o(q) be the second derivative of 0*q**5 + 5/42*q**7 + 5*q + 0*q**3 + q**4 + 0 + 0*q**6 + 0*q**2. What is the third derivative of o(d) wrt d?
300*d**2
What is the second derivative of -382*s**2 - 61*s**5 + 29*s**5 + 31*s**5 - 1 - 338*s wrt s?
-20*s**3 - 764
What is the third derivative of g + 30*g**2 - 2239*g**6 + 4564*g**6 - 2246*g**6 wrt g?
9480*g**3
Let k(u) be the first derivative of u**6/3 + 73*u**2/2 + 82. Find the second derivative of k(c) wrt c.
40*c**3
Let v(a) be the second derivative of -59*a**4/12 + a**3/6 + 155*a**2/2 + 140*a. Find the first derivative of v(o) wrt o.
-118*o + 1
Let h(x) = 107*x**2 + 73*x + 3. Let c(n) = -n**2 + 2*n - 1. Let t(q) = 3*c(q) + h(q). What is the second derivative of t(f) wrt f?
208
Suppose 19*n - 128 = 15*n. Find the third derivative of -10*t**2 + n*t**2 + 24*t**6 - 16*t + 16*t wrt t.
2880*t**3
Find the first derivative of -325*p - 44 - 34 + 351*p wrt p.
26
Let c(m) = -m - 1. Let h(x) = 374*x**3 - 4*x**2 + 24*x + 3. Let s(n) = 3*c(n) + h(n). Find the third derivative of s(f) wrt f.
2244
Suppose -5*p + 20 - 5 = 0. Find the first derivative of 4*h**3 - 7*h**p + 6 - 15*h**3 wrt h.
-54*h**2
Let j(m) = -26*m**4 + 4*m**2 + 4*m + 148. Let i(b) = -26*b**4 + 5*b**2 + 4*b + 150. Let h(z) = 4*i(z) - 5*j(z). What is the first derivative of h(l) wrt l?
104*l**3 - 4
Let v(t) = 20*t + 29. Suppose 13*o - 10*o = -15. Let c(r) = -39*r - 59. Let n(d) = o*v(d) - 2*c(d). Differentiate n(f) with respect to f.
-22
Suppose s - 9 = -v, -2*v + 3*s = -0 - 8. Suppose -z + v*z = 12. What is the third derivative of -6*o**2 + 2*o**4 - 4*o**z + 5*o**2 - 4*o**2 wrt o?
48*o
Let g(x) be the second derivative of -x**3 + 0*x**2 + 0 + x + 7/20*x**5 + 0*x**4. What is the second derivative of g(k) wrt k?
42*k
Let x(w) = w**3 - 2*w**2 + 2*w - 2. Let h be x(2). Let s be (-3)/h + (-18)/(-4). What is the third derivative of 10*k**s + 3 + 6*k**2 - 14*k**3 - 3 wrt k?
-24
Let v(i) be the first derivative of 10*i**4/3 + 11*i**2 + 21*i + 42. Let s(u) be the first derivative of v(u). Differentiate s(z) wrt z.
80*z
Let c be -3 + 0 - (-7 + 2). Let m be (11 - 16)/(c - 3). What is the second derivative of 4*q - m*q**4 - 6*q**5 - 2*q**5 + 5*q**4 wrt q?
-160*q**3
Let j = 722 + -722. Let p(z) be the second derivative of 0*z**2 - 9*z + 0 + 5/6*z**3 + 3/20*z**5 + j*z**4. What is the second derivative of p(s) wrt s?
18*s
Let t(q) be the first derivative of -11*q**6/30 + q**3/2 + 12*q - 1. Let r(p) be the first derivative of t(p). Find the second derivative of r(s) wrt s.
-132*s**2
Let z(p) be the first derivative of 0*p - 2*p**6 - 20 + 0*p**2 + 0*p**4 + 0*p**5 + 16/3*p**3. What is the third derivative of z(v) wrt v?
-720*v**2
Let x = -290 + 301. Let y(k) be the third derivative of 1/15*k**6 + 0 + 0*k**4 + 0*k**3 + 0*k + x*k**2 + 7/60*k**5. Find the third derivative of y(d) wrt d.
48
Let c(g) be the first derivative of -g**2/2 + g + 13. Let i(r) = -10*r + 16. Let k(j) = 3*c(j) - i(j). Differentiate k(t) with respect to t.
7
Let k = -22 + 31. Suppose -u - 20 = 3*u, 0 = -5*y + 5*u + 50. What is the third derivative of -j**2 - j**5 + k*j**y - j**2 - j**5 wrt j?
420*j**2
Differentiate 4*f + 34*f**2 - 2*f - 19 - 2*f with respect to f.
68*f
Let f(g) be the second derivative of 91*g**3/6 + 33*g**2/2 + 2*g - 53. Find the first derivative of f(t) wrt t.
91
Let h = -116 + 123. What is the second derivative of -6*k**5 + 14*k + h*k**5 + 10*k**5 wrt k?
220*k**3
Suppose -2*y - 8 = -6*y. Find the second derivative of 14*o**2 - 11 + 11 + y*o**2 + 30*o wrt o.
32
What is the first derivative of j**4 - 83 - 54 - 43 + 14*j**2 - 8*j**2 + 0*j**4 wrt j?
4*j**3 + 12*j
Let q(b) = b**3 - b**2 - 3*b - 4. Let t be q(3). Find the third derivative of -43*o**2 - 485*o**5 + o**4 + 514*o**t - o**4 wrt o.
1740*o**2
Find the third derivative of -787*f**3 + 11255 - 11248 + 14*f**2 + 13*f**2 wrt f.
-4722
Suppose 13 = 5*h - 122. Suppose m + 4*p + 1 = 3*p, 3*p = 5*m - h. What is the derivative of 9*k**3 - 2 + m - 10*k**3 + 11*k**3 wrt k?
30*k**2
Let d be (-2)/(-8) - ((-9)/(-4))/(-3). Let w(n) = -n**2 + 4. Let k(o) = o**2 - 1. Let y(f) = d*w(f) - 4*k(f). Differentiate y(r) with respect to r.
-10*r
Suppose p + 4*j - 29 = 0, 3*p = -j - 4*j + 80. Find the third derivative of -8*v**6 + 19*v**6 + p*v**6 + 6*v**2 wrt v.
4320*v**3
Let l be 7/14 + (-222)/(-4). What is the third derivative of -l - 8*c**2 - 23*c**6 + 56 wrt c?
-2760*c**3
Suppose -20 = 3*v - 7*v. Let x = -8 + 11. What is the second derivative of 0*p**5 + p**5 + p - x*p - 2*p**v wrt p?
-20*p**3
Let j(w) = 5*w - 7. Let r = -12 + 14. Let q(v) = -4*v + 6. Let h be 8/2 + (2 - 3). Let x(o) = h*q(o) + r*j(o). What is the first derivative of x(b) wrt b?
-2
Let b(m) be the third derivative of -m**5/5 + 2*m**3/3 + 16*m**2. Let n(g) = 13*g**2 - 3. Let z(x) = -4*b(x) - 5*n(x). Differentiate z(f) wrt f.
-34*f
Suppose 18 = 3*a + 2*u, 0*a + u = 5*a - 17. Suppose 11 = a*s + 3. What is the third derivative of -s*g + g**2 + 2*g + 3*g**2 - 4*g**3 wrt g?
-24
Find the third derivative of -6153 - 2*j**3 + 6153 - 196*j**2 + 2*j**4 wrt j.
48*j - 12
Suppose -11 = -4*v + 33. Let b be 2 - (v + -3)/(-4). What is the third derivative of 3*k**b + k**2 + 2*k**4 + k**4 wrt k?
144*k
What is the third derivative of 0 + 52*l**6 + 2*l**4 - 4*l**2 - 53*l**6 + 1 - 7*l**2 wrt l?
-120*l**3 + 48*l
Let d(b) = b**3 - 2*b**2 - 7. Let z be d(3). What is the third derivative of 1 + 17*v**z - 3*v**2 + v**3 - 1 wrt v?
6
Let f(i) = i**4 + i**3 - 2*i. Let j(q) = -q**4 - 3*q**3 + 33*q**2 + 6*q - 49. Let v(p) = -3*f(p) - j(p). What is the first derivative of v(w) wrt w?
-8*w**3 - 66*w
Let g(b) = 4*b**2 - 3. Let v(w) = 7*w**2 + w - 6. Let r(y) = 5*g(y) - 3*v(y). Let k be r(-3). What is the first derivative of 0 - 2 - k - 4 - 3*z wrt z?
-3
Let m(b) be the third derivative of 0*b**6 + 0 + 0*b**4 - 3/35*b**7 + 0*b - b**3 + 0*b**5 + 15*b**2. Differentiate m(k) wrt k.
-72*k**3
Let r(u) be the first derivative of 18 + 22*u + 15/2*u**2. What is the first derivative of r(f) wrt f?
15
Let r(w) be the third derivative of 17*w**8/48 + 239*w**5/60 + 3*w**2 + 10. Find the third derivative of r(g) wrt g.
7140*g**2
Let a(s) = 8*s**4 + 10*s**3 + 10*s**2 + 5*s - 89. Let f(x) = -8*x**4 - 12*x**3 - 11*x**2 - 6*x + 88. Let y(n) = 6*a(n) + 5*f(n). Differentiate y(r) wrt r.
32*r**3 + 10*r
Let s(j) = 5*j**2 + j + 2. Let x be s(-1). Let f = x + -6. What is the second derivative of f*v**4 + v - 2*v + 7*v**4 + 2*v wrt v?
84*v**2
What is the second derivative of 47*z**2 + 6*z - 9*z + 5*z + 18*z**2 - 1 + 16 wrt z?
130
Suppose -8*d + 16 = -4*d. Let m(s) = s**3 - 3*s**2 + s - 1. Let r be m(3). What is the first derivative of 4 - 5 - c**d - r wrt c?
-4*c**3
Let a = 5 - 3. What is the first derivative of 37*p**a + 4*p**3 + 10 - 37*p**2 wrt p?
12*p**2
Let u(m) = 572*m + 280. Let t(b) = 571*b + 279. Let n(k) = 3*t(k) - 4*u(k). What is the first derivative of n(a) wrt a?
-575
Suppose 0*o + 12 = 3*o. Find the second derivative of 11 + 4*l - 17*l**4 - 5 - o - l wrt l.
-204*l**2
What is the derivative of 89*t**2 - 36*t**2 + 122*t**2 - 394 + 242*t**2 + 34*t**2 wrt t?
902*t
Let h(o) = -353*o - 913. Let q(x) = x - 1. Let s(p) = -h(p) - 6*q(p). Find the first derivative of s(m) wrt m.
347
Let i(m) be the first derivative of -100*m**3 + 393*m + 314. What is the derivative of i(v) wrt v?
-600*v
Let n(w) be the third derivative of -w**9/756 - w**6/180 + w**3 + 8*w**2. Let p(z) be the first derivative of n(z). What is the third derivative of p(f) wrt f?
-240*f**2
Let m(h) = -5*h + 8. Let r be m(0). Find the second derivative of 10*n + 0*n + 4*n**3 + r*n**3 wrt n.
72*n
Let j(y) be the first derivative of 69*y**2 + 132*y - 35. What is the derivative of j(f) wrt f?
138
Let i(w) be the first derivative of 12 - 9/5*w**5 + 0*w**2 - 14/3*w**3 + 0*w**4 + 0*w. Find the third derivative of i(y) w