 12. Differentiate -9 + 4 - 16 - u*f - 7*f wrt f.
-27
Let u(n) be the third derivative of -257*n**4/12 + 499*n**3/6 - 261*n**2. What is the first derivative of u(w) wrt w?
-514
Suppose -4*p = 4*m - 4, -3*p - 4*m = 7 - 9. Let z(j) be the first derivative of 4*j + 7/2*j**2 - p. What is the first derivative of z(i) wrt i?
7
Find the second derivative of 51*z**3 + 6*z**3 + 124*z**3 - 1 + 0 - 85*z wrt z.
1086*z
What is the derivative of -29*h + 111*h + 88*h + 51*h + 138*h - 357 wrt h?
359
Suppose -9 - 69 = -13*q. What is the third derivative of -14*h**2 + h**2 - 20*h**6 - 10*h**2 - 5*h**q wrt h?
-3000*h**3
Let y(u) = -494*u**2 + 171*u + 14. Let l(s) = 165*s**2 - 56*s - 5. Let v(t) = 17*l(t) + 6*y(t). What is the second derivative of v(o) wrt o?
-318
Let c(b) be the second derivative of -b**5/15 + b**4/12 - b**3/2 - 5*b. Let n(g) be the second derivative of c(g). Find the first derivative of n(v) wrt v.
-8
Let h(y) be the first derivative of 0*y**3 + 7/2*y**2 - 2/3*y**6 + 0*y + 20 + 0*y**5 + 0*y**4. What is the second derivative of h(w) wrt w?
-80*w**3
Let c(a) be the third derivative of -3*a**9/14 - a**6/60 + 61*a**5/15 + 42*a**2. Find the third derivative of c(h) wrt h.
-12960*h**3 - 12
Let z(f) = -111*f**3 - 245*f. Let p(x) = -218*x**3 - 489*x. Let y(r) = 3*p(r) - 5*z(r). What is the second derivative of y(o) wrt o?
-594*o
Let z(w) = w**2 - w + 19. Let l be z(0). Find the third derivative of -l*q**2 + 17*q**5 - 665*q + 665*q wrt q.
1020*q**2
Let d be (15/30)/(2/8). What is the second derivative of -15*p**d - 15*p + 5*p**2 + 25*p - 2*p**2 wrt p?
-24
Let t(u) = u**5 + u**4 - u**2. Let f(s) = 4*s**2 + 4*s**4 - 3*s**4 - 3*s - 5*s**4. Let x(r) = -f(r) - 4*t(r). What is the second derivative of x(j) wrt j?
-80*j**3
Let u(t) = t + 1. Let s be u(8). Suppose -2*h = -s*h. Find the third derivative of h*g + 16*g**2 + 10*g**3 + 0*g - 20*g**2 wrt g.
60
Let f(j) be the second derivative of 0*j**4 - 12*j + 0*j**5 + 0*j**3 - 3*j**2 + 1/6*j**6 + 0. What is the derivative of f(x) wrt x?
20*x**3
Let j(n) be the third derivative of -81*n**6/40 - 623*n**5/60 - 6*n**2 + 25*n. Find the third derivative of j(a) wrt a.
-1458
Let i(c) be the first derivative of 0*c + 19*c**2 + 25/3*c**6 - 36 + 0*c**4 + 0*c**5 + 0*c**3. What is the second derivative of i(h) wrt h?
1000*h**3
Suppose 2*a - 4 = -2*d, d + d + 3*a - 5 = 0. Differentiate -8 - 23*t - d - 2 + 7*t wrt t.
-16
Let l(r) = -38*r**3 + 17*r**2 - 6*r + 600. Let y(x) = -40*x**3 + 18*x**2 - 7*x + 599. Let u(g) = -7*l(g) + 6*y(g). Find the first derivative of u(n) wrt n.
78*n**2 - 22*n
Let k(w) = -7*w**2 - 3*w**3 - 3 - w + w**3 + w**3 + w**2. Let n be k(-6). Find the first derivative of 2*t + 3*t - n - 1 wrt t.
5
Let w(b) = 21*b**4 + 5*b - 12. Let f(v) = 41*v**4 + 11*v - 25. Let j(x) = -4*f(x) + 9*w(x). What is the derivative of j(u) wrt u?
100*u**3 + 1
Let a(m) be the first derivative of -3/4*m**4 + 0*m**2 + 28 + 0*m**3 + m. What is the first derivative of a(f) wrt f?
-9*f**2
Let x(n) be the third derivative of n**7/840 - n**6/20 - 25*n**3/6 + 31*n**2. Let k(l) be the first derivative of x(l). Find the third derivative of k(t) wrt t.
6
Let s(o) = -2*o. Let r be s(0). Suppose d - 2*h + 3*h - 11 = r, -d - 5*h + 23 = 0. Find the third derivative of 4*u**3 + 196*u - 196*u - d*u**2 wrt u.
24
Let v(p) be the second derivative of -124*p**6/5 - 543*p**2/2 - 5*p - 7. Differentiate v(b) wrt b.
-2976*b**3
Find the second derivative of 2*x - 87 + 64*x**5 + 41 + 53 wrt x.
1280*x**3
Let t(w) = -w**3 - 169*w**2 - 79. Let b(l) = -3*l**3 - 337*l**2 - 157. Let u(i) = -2*b(i) + 5*t(i). Find the first derivative of u(d) wrt d.
3*d**2 - 342*d
Let d(u) = 117*u**3 - 6*u**2 + 6*u + 125. Let r(n) = 354*n**3 - 17*n**2 + 17*n + 376. Let w(o) = -17*d(o) + 6*r(o). What is the first derivative of w(l) wrt l?
405*l**2
Let b(p) = -1309*p**2 - 2483*p - 16. Let x(d) = -873*d**2 - 1654*d - 10. Let r(q) = -5*b(q) + 8*x(q). Find the second derivative of r(i) wrt i.
-878
Let v = -95 + 97. What is the third derivative of -2*i**2 - i**3 - 9*i**2 + 15*i**v - 5*i**3 wrt i?
-36
Let t(p) be the first derivative of 75*p**4/4 + 62*p**3/3 - 110. What is the third derivative of t(a) wrt a?
450
Let k(o) = 8*o**2 + 2*o - 1079. Let t(i) = 2*i**2 + i - 359. Let s(j) = 2*k(j) - 7*t(j). What is the derivative of s(g) wrt g?
4*g - 3
Let f(j) be the first derivative of -j**5/5 + 39*j**4/4 - 73*j**2/2 + 50. Find the second derivative of f(o) wrt o.
-12*o**2 + 234*o
Let l(v) be the first derivative of -19*v**4/2 - v**3/3 + v**2 + v - 46. What is the second derivative of l(o) wrt o?
-228*o - 2
Suppose 0 = u - 6*u - 5, -5*u - 13 = -4*a. What is the third derivative of 11*z**2 + 22*z**a - 19*z**2 + 8*z**4 wrt z?
192*z
Suppose 0 = -5*s - 64 + 79. Find the third derivative of 21*k**2 - 20*k**2 + s*k**5 - 9*k**6 - 3*k**5 wrt k.
-1080*k**3
Suppose 86 - 54 = 16*a. Let c(n) be the first derivative of 0*n**4 + 3*n**a + 3 + 0*n**3 + 1/5*n**5 + 0*n. Find the second derivative of c(y) wrt y.
12*y**2
Let b(y) be the first derivative of -15*y**6/2 - 2*y**5/5 - 57*y**3 - 268. What is the third derivative of b(u) wrt u?
-2700*u**2 - 48*u
Suppose -4*v - 4*a - 32 = 0, 0*v - 5*v - 4*a - 36 = 0. Let z = 5 + v. Differentiate -3 + 2*i**4 - 2 - z + 2 wrt i.
8*i**3
Let h(l) = -9*l - 30. Suppose 0 = 6*g - 16*g + 40. Let m(b) = -72*b - 240. Let p(t) = g*m(t) - 33*h(t). Differentiate p(d) with respect to d.
9
Suppose u + 0*u + 9 = -f, -u - 5*f - 9 = 0. Let a = u + 12. What is the first derivative of -1 - 7*j**a - 5 - 1 + j**3 wrt j?
-18*j**2
Let d(c) = c**2 + 2*c - 11. Let z be d(-5). Let r(k) = -3 + 10*k - z - 3 - 2. Let f(w) = 5*w - 6. Let p(s) = 7*f(s) - 3*r(s). Differentiate p(u) wrt u.
5
Let a(k) = -k**2 + 6*k + 4. Let z be a(6). Let o be (1 - 3 - (5 + -3))/(-1). Find the third derivative of -3*v**4 + 6*v**z - 5*v**2 - 2*v**o wrt v.
24*v
Let v(x) = x**3 - 10*x**2 + 10*x - 9. Let t be v(9). Suppose t = -5*s + s. Differentiate 6*u**3 + s + 1 - 2 - u**3 with respect to u.
15*u**2
Let c(t) be the third derivative of 47*t**9/168 - t**6/60 - t**5/30 + 41*t**4/24 - 2*t**2 + 100. What is the third derivative of c(k) wrt k?
16920*k**3 - 12
Let s(r) = -4*r + 312. Let p(d) = -d**2 + 6*d - 311. Let f(l) = 2*p(l) + 3*s(l). What is the first derivative of f(j) wrt j?
-4*j
Let p(b) = -1599*b**2 + 932. Let r(d) = 2399*d**2 - 1396. Let i(l) = 8*p(l) + 5*r(l). Find the first derivative of i(q) wrt q.
-1594*q
What is the second derivative of 38*t**5 + 16621*t + 53*t**5 - 17051*t wrt t?
1820*t**3
Let c(k) = 17*k - 7. Let y be c(5). Find the second derivative of y*b**3 + 6*b - 17*b - 79*b**3 wrt b.
-6*b
Let r(g) be the first derivative of 0*g + 0*g**2 + 8/3*g**3 + 0*g**4 - 7*g**5 - 26. What is the third derivative of r(m) wrt m?
-840*m
Let h be (96/(-336))/(1*(-2)/14). Let v(w) be the first derivative of 7 + 8/3*w**3 + h*w**4 + 0*w + 0*w**2. Find the third derivative of v(q) wrt q.
48
Let p(k) = -2*k**2 - 107*k - 4. Let r(i) = -4*i**2 - 214*i - 6. Let t(h) = -5*p(h) + 3*r(h). Find the second derivative of t(x) wrt x.
-4
Suppose w - 4 = -4*v, -2*w = -2*v + 5*v + 2. Let l(n) be the second derivative of 0 - n + 1/2*n**3 + n**v. What is the first derivative of l(c) wrt c?
3
Let i(q) be the third derivative of -q**7/105 - q**6/30 - 9*q**4/8 - q**2 + 9. Find the second derivative of i(s) wrt s.
-24*s**2 - 24*s
Suppose 5*j + j - 12 = 0. Find the second derivative of 0*w**j - 7*w**2 + 3*w**2 - 4*w + w**2 wrt w.
-6
Let t(b) be the second derivative of 0*b**5 + 1/6*b**3 - 1/5*b**6 - 7*b + 0*b**4 + 0 + 0*b**2. What is the second derivative of t(p) wrt p?
-72*p**2
Find the third derivative of -8*d - 46*d**5 + 26*d**2 + 0*d - 2*d**4 - 3*d wrt d.
-2760*d**2 - 48*d
What is the third derivative of 30*u**6 + 29*u**6 + 29*u**6 + 151*u**2 - 86*u**6 - 62*u**4 wrt u?
240*u**3 - 1488*u
Let m(h) = -2*h + 1. Let j be m(-2). Suppose j*p + 6*g = 4*g + 10, p - 9 = g. What is the third derivative of 5*a**2 + 5*a**4 - 6 + p + 2 wrt a?
120*a
Suppose -6*p + 84 = -0*p. Suppose 0*z + 2*z = 2*b + 4, 2*b = 4*z - p. What is the first derivative of -3 + 1 - c**3 - 6 - 3*c**b wrt c?
-12*c**2
Suppose -o = -3*q - 16, 0 = o + q - 36. What is the second derivative of 5*g**4 + o*g**5 - 30 + g + 3 - 5*g**4 wrt g?
620*g**3
Let k(x) be the first derivative of 117*