e of y(m) wrt m.
116
Suppose 0 = -32*a + 27*a + 5. Let m(c) be the first derivative of 1/3*c**3 + 2*c - a + 0*c**2. Differentiate m(g) with respect to g.
2*g
Suppose -3*d - 4*i = -2*i - 138, d = 5*i + 29. Let l = 34 + d. Find the third derivative of -78 - 9*m**2 + l + 2*m**3 wrt m.
12
Let t(p) be the first derivative of p**6/6 - 3*p**2 + 15*p - 11. Let a(b) be the first derivative of t(b). What is the first derivative of a(x) wrt x?
20*x**3
Let d(q) be the first derivative of -q**7/42 + 3*q**4/2 + 20*q - 9. Let m(z) be the first derivative of d(z). Find the third derivative of m(v) wrt v.
-60*v**2
Let t(p) be the first derivative of -441*p**2/2 - 355*p - 373. What is the first derivative of t(r) wrt r?
-441
Find the second derivative of 2 + 21*x**5 + 144*x**3 - 145*x**3 + 0 - 20*x wrt x.
420*x**3 - 6*x
Let i = -426 - -1700. What is the third derivative of -k**5 + 1274*k**3 - i*k**3 + 23*k**2 wrt k?
-60*k**2
What is the third derivative of 205*r**3 + 116*r**5 - 7*r + 570*r**2 + 7*r - 205*r**3 wrt r?
6960*r**2
Let b(p) = -19*p**2 + 17*p + 612. Let n(w) = -12*w**2 + 11*w + 407. Let o(f) = 5*b(f) - 8*n(f). Find the first derivative of o(v) wrt v.
2*v - 3
Let y = -18 + 33. Let k = -13 + y. Find the first derivative of -3*c**2 + c**2 + c**2 + 3*c**k + 4 wrt c.
4*c
Suppose 3*f + f - 16 = 0. What is the second derivative of 562*y - y**f - 13*y**4 - 555*y wrt y?
-168*y**2
Find the first derivative of -76*w - 40 + 85 - 38 wrt w.
-76
Let l = 15/2 + -5. Let r(c) be the second derivative of l*c**2 + 1/6*c**3 + 0 - 5*c. Find the first derivative of r(g) wrt g.
1
Let m(y) = -y**4 - 86*y**2 + 2*y - 217. Let x(u) = -5*u**4 - 431*u**2 + 11*u - 1086. Let t(i) = 11*m(i) - 2*x(i). Find the first derivative of t(r) wrt r.
-4*r**3 - 168*r
Let h(v) be the first derivative of 0*v + 31/3*v**3 - 11/2*v**2 - 37. What is the second derivative of h(y) wrt y?
62
Let u(q) be the second derivative of -3*q**5/2 + q**4/12 + 5*q**2/2 - 55*q + 1. Find the third derivative of u(n) wrt n.
-180
Let q(z) be the third derivative of z**6/30 + z**5/60 - 5*z**4/24 - 17*z**3/6 - 150*z**2 - 2. Find the second derivative of q(d) wrt d.
24*d + 2
Let p be (135/75)/((-6)/(-140)). Find the second derivative of 37*v**5 - 18*v + p*v**5 - 83*v**5 wrt v.
-80*v**3
Differentiate 22*i**2 + 2*i**2 - 3 - 1 - 2*i**4 - 3 with respect to i.
-8*i**3 + 48*i
Let q = 15 - 12. Suppose 3*h + t - 8 = 0, -2*h + 3*t + 5 = -15. What is the second derivative of -d**3 - d + 0*d - q*d - h*d**3 wrt d?
-30*d
Let p(h) = -h**3 + 6*h**2 + 9*h - 1. Let m be p(7). Let k = m - 12. Find the second derivative of -8*d + k - 1 - d**4 - 2*d**4 wrt d.
-36*d**2
What is the second derivative of 235*h - 59*h**5 - 37*h**5 + 295*h wrt h?
-1920*h**3
Let h(a) = a**2 - a. Let u(c) = -8*c**2 - 12*c**2 - 2*c - 2 + 21*c**2 - 4*c**2. Let f(d) = -2*h(d) + u(d). What is the first derivative of f(w) wrt w?
-10*w
Let l(c) be the second derivative of c**7/420 + c**4/4 - 2*c**3/3 + 6*c. Let s(b) be the second derivative of l(b). What is the first derivative of s(h) wrt h?
6*h**2
Let h = 27 - 23. What is the third derivative of 9*s**2 - 257*s + 16*s**h + 257*s wrt s?
384*s
Suppose 3*t - 3 = -3*o, 2*o + 3*o = 3*t + 13. Let i(a) be the first derivative of 1 + 4*a + 3*a**2 + 0 - a**o. What is the first derivative of i(n) wrt n?
4
Let z(i) = -48*i**4 - 6*i**3 - 6*i**2 + 82. Let c(o) = 97*o**4 + 13*o**3 + 13*o**2 - 164. Let s(y) = -6*c(y) - 13*z(y). Find the first derivative of s(j) wrt j.
168*j**3
Let l = 31 - 26. Find the second derivative of 7*w**5 - w + 0*w**l + 3*w + w wrt w.
140*w**3
Let b be 4/(-2)*(-12)/8. What is the third derivative of -6*x**b + 0*x**3 - 80 + 80 - 13*x**2 wrt x?
-36
Let m(f) = 5*f + 4 - 5 + 2. Let z(c) be the first derivative of c**2/2 - 23. Let g(k) = m(k) - 6*z(k). Differentiate g(s) wrt s.
-1
Let b = 423 + -1265/3. Let q(k) be the first derivative of 0*k**2 - b*k**3 - 2 + 0*k + k**4. What is the third derivative of q(o) wrt o?
24
Let o(s) = -96*s - 67. Let h(g) = -24*g - 17. Suppose -r - 4*r - 29 = -4*v, 2*r = -2*v + 10. Let k(u) = v*o(u) - 22*h(u). Differentiate k(a) wrt a.
-48
Let u(d) be the first derivative of -2*d**5/5 - 7*d**2 + 68*d + 195. Differentiate u(t) with respect to t.
-8*t**3 - 14
Let s(k) = -6*k**3 - k - 1. Let o be s(-1). What is the second derivative of -o*v**2 + 0*v - v - 10*v wrt v?
-12
Let f(p) be the second derivative of -p**8/840 - p**6/120 + 5*p**3/3 - 8*p. Let a(k) be the second derivative of f(k). Find the third derivative of a(m) wrt m.
-48*m
Let s(d) be the first derivative of 17*d**6/3 + 36*d**3 + 68. Find the third derivative of s(i) wrt i.
2040*i**2
Differentiate -227*s**3 + 30*s**3 + 91 - 233*s**3 - 161*s**3 - 653 wrt s.
-1773*s**2
Suppose 4*w - 3*w - 56 = -5*s, -w - 32 = -3*s. Find the second derivative of s*d**4 - 16*d**4 + 22*d - 12*d**4 wrt d.
-204*d**2
Let b(t) be the second derivative of -133*t**6/30 + t**5/10 + 41*t**2 - 152*t. Differentiate b(y) wrt y.
-532*y**3 + 6*y**2
Let g(u) = -22*u**4 + u**3 - 13*u**2 + 10. Let q(x) = -44*x**4 + 2*x**3 - 26*x**2 + 21. Let h(i) = 13*g(i) - 6*q(i). What is the third derivative of h(w) wrt w?
-528*w + 6
Suppose -2*r = -5 + 1. What is the third derivative of 93*g**5 - 47*g**5 - 24*g**r - 45*g**5 wrt g?
60*g**2
Let g(a) = 3*a + 0 - 5 - 2*a. Let z be g(7). Find the third derivative of -2*c**2 - c**4 + 2*c**2 + c**z wrt c.
-24*c
Let n(z) be the second derivative of -8*z**5/15 + 15*z**4/8 + 9*z**2/2 + z. Let u(a) be the first derivative of n(a). Find the second derivative of u(c) wrt c.
-64
Let x(g) be the third derivative of 0*g + 0 + 0*g**4 + 0*g**7 + 8*g**2 + 0*g**6 + 0*g**3 + 11/336*g**8 - 1/6*g**5. What is the third derivative of x(t) wrt t?
660*t**2
Let a(c) be the first derivative of 0*c - 5/4*c**4 + 0*c**2 + 1 - 11/3*c**3. What is the third derivative of a(y) wrt y?
-30
Let c(d) be the second derivative of 23*d**9/3024 + d**5/10 - d**3/3 + 8*d. Let k(r) be the second derivative of c(r). Find the second derivative of k(t) wrt t.
460*t**3
Let d(p) be the third derivative of -23*p**8/28 + 31*p**5/30 - 113*p**2 + 2. What is the third derivative of d(l) wrt l?
-16560*l**2
Let p(d) be the second derivative of -421*d**6/30 + 427*d**2/2 - 35*d + 1. Differentiate p(b) wrt b.
-1684*b**3
What is the first derivative of 526 - 9*u + 17*u + 2*u - 40*u - 68*u wrt u?
-98
Let x(n) be the third derivative of 117*n**7/70 + n**6/60 + 53*n**5/10 + 317*n**2. Find the third derivative of x(b) wrt b.
8424*b + 12
Let l(s) = 11*s**4 - 37*s**3 - 317*s**2 - 4. Let a(b) = 20*b**4 - 75*b**3 - 636*b**2 - 7. Let p(k) = -4*a(k) + 7*l(k). Find the third derivative of p(m) wrt m.
-72*m + 246
Let p(f) = f**2 - 4*f - 7. Let n be p(7). What is the third derivative of 14*j - 7*j**4 + 4*j**2 - n*j - 7*j**4 wrt j?
-336*j
Let q(f) = -10*f - 2*f + 10 + 4 + 11*f. Let m be q(11). What is the first derivative of m + 8*p**2 - p**2 - p**2 wrt p?
12*p
Let l(q) be the second derivative of -5*q**7/21 + 7*q**4/12 + q**3 - q + 24. Find the third derivative of l(f) wrt f.
-600*f**2
Suppose 5*p + 52 = 2*b, -2*b + 2*p - p + 44 = 0. Find the third derivative of -b*c**2 - 32*c**5 + 17*c**5 + 9*c**5 wrt c.
-360*c**2
Let l be 1 - (-5 - (-5 - -3)). Let g = 6 - l. Find the second derivative of -4*h + 6*h**2 - 6*h**2 - 5*h**g wrt h.
-10
Let w(o) be the second derivative of -49*o**5/10 - o**4/12 - 31*o**2/2 - o + 10. Find the third derivative of w(s) wrt s.
-588
Let z be (4 - 7)/(-1 + 0). Let r = -4 + 7. What is the second derivative of -12*d + 0*d**r + 6*d - d**z wrt d?
-6*d
Let p(y) = -y**3 + y. Let g(j) = -2*j**3 - 3*j + 34. Let i(f) = g(f) + p(f). Differentiate i(c) with respect to c.
-9*c**2 - 2
Let z(p) be the first derivative of -15*p**4 - 153*p**2/2 + 119. Find the second derivative of z(c) wrt c.
-360*c
Let i(n) be the second derivative of 9*n**6/5 - n**3/2 - 5*n**2/2 - 28*n. Find the second derivative of i(d) wrt d.
648*d**2
Let w(f) be the third derivative of 81*f**5/20 + 17*f**3/6 + 3*f**2 + 31*f. Differentiate w(x) with respect to x.
486*x
Suppose -2*h = -5*h + 6. What is the second derivative of -108*f**h - 4*f**4 - 3*f**4 + 108*f**2 + 9*f wrt f?
-84*f**2
Let n(b) = -78*b**3 + 1571*b**2 - 21. Let r(h) = 16*h**3 - 314*h**2 + 4. Let o(m) = 2*n(m) + 11*r(m). What is the third derivative of o(s)