 1) + 6)*1. Let a(q) = 6*q**2 + 4*q - 3. Let i(z) = -6*z**2 - 5*z + 4. Let m(u) = j*a(u) + 4*i(u). Find the first derivative of m(w) wrt w.
12*w
Let g(o) be the third derivative of o**6/8 - 7*o**4/24 - 101*o**3/6 - 171*o**2. What is the derivative of g(t) wrt t?
45*t**2 - 7
Let s(j) be the second derivative of 11*j**6/720 - j**5/12 + j**4/6 + 12*j. Let q(v) be the third derivative of s(v). Differentiate q(b) wrt b.
11
Let n(w) be the first derivative of -123*w**7/7 + 35*w**3/3 - 449. Find the third derivative of n(o) wrt o.
-14760*o**3
Let q(o) = -203*o**3 + 346. Let t(z) = -z**3. Let h(u) = q(u) + 6*t(u). What is the derivative of h(i) wrt i?
-627*i**2
Let c = -32 - -40. What is the first derivative of c*l**3 - 125*l**2 - 1 - 27 + 125*l**2 wrt l?
24*l**2
Let u(s) = -135*s**2 + 2*s - 130. Let w(x) = 1755*x**2 - 27*x + 1692. Let y(r) = 27*u(r) + 2*w(r). What is the first derivative of y(d) wrt d?
-270*d
Let o be (-120)/(-16) - 2/4. Suppose 5*p - 23 = 5*j + o, 0 = -3*j - 6. Differentiate -6*t**4 + 5 + 0*t**p + t**4 wrt t.
-20*t**3
Suppose 37 - 7 = 5*p. What is the second derivative of 10*n**2 + p + 3*n - 2 - 4 wrt n?
20
Let p(g) = -11*g - 5 + 7*g - 2. Let u be p(-2). Differentiate -1 - 3 + 7*v - u with respect to v.
7
Let u(f) = 2*f - 9. Let i be u(6). What is the third derivative of 5*q**2 + 24*q**3 + 4*q**2 - 46*q**i wrt q?
-132
Let m = -27 - -41. What is the first derivative of -m - 106*k**4 - 111*k**4 + 202*k**4 wrt k?
-60*k**3
Let x(z) be the third derivative of 3*z**8/16 + 37*z**4/24 - z**3/3 + z**2 + 13. What is the second derivative of x(n) wrt n?
1260*n**3
Let d(i) be the second derivative of -11*i**6/5 + 190*i**2 - 119*i + 1. What is the derivative of d(q) wrt q?
-264*q**3
Let j(x) be the third derivative of 0*x**6 - 41/336*x**8 + 5*x**2 + 0*x + 0*x**3 + 0*x**7 - 49/60*x**5 + 0*x**4 + 0. What is the third derivative of j(t) wrt t?
-2460*t**2
Let l(i) = -i**5 + i**3 + 3*i**2 - i. Let k(o) = 128*o**5 - 5*o**3 - 14*o**2 - 54*o. Let d(c) = k(c) + 5*l(c). What is the third derivative of d(q) wrt q?
7380*q**2
Let b(c) be the second derivative of -47*c**5/10 - c**3/2 - c**2/2 - 220*c. What is the second derivative of b(x) wrt x?
-564*x
Suppose -3*x = -7 - 8. What is the second derivative of 441*n**2 - 12*n**x - 441*n**2 + 17*n wrt n?
-240*n**3
Let g(a) = -6*a**4 + 70*a**3 - 276*a**2. Let o(h) = 7*h**4 - 69*h**3 + 277*h**2. Let w(n) = 6*g(n) + 5*o(n). What is the third derivative of w(u) wrt u?
-24*u + 450
Suppose 5*n + 6 = 16. Find the third derivative of -8*m**6 + 9*m**2 - 26*m**n + 18*m**2 wrt m.
-960*m**3
What is the second derivative of -10*n + 2 - 32*n**3 + n**5 + 0*n + 29*n**3 wrt n?
20*n**3 - 18*n
Let x be 1/(-3)*0 - -13. Suppose 0 = 2*j + 5*h - 3, -5*h + 44 = 4*j + x. What is the second derivative of j*q - 8*q + 5*q**2 - q**2 wrt q?
8
Let f(b) be the second derivative of b**8/210 - 3*b**5/40 - 5*b**3/2 - 6*b. Let s(a) be the second derivative of f(a). Find the second derivative of s(n) wrt n.
96*n**2
Let j = -39 - -43. What is the second derivative of -174*k**4 + 174*k**j - 5*k - 13*k**5 wrt k?
-260*k**3
Let q = 10 - 5. Let a = -140 + 142. What is the third derivative of -6*v**q - 5*v**a + 3*v**2 - 4*v**2 - v**5 wrt v?
-420*v**2
Let t(h) = h**2 + 2*h - 10. Let q be t(-6). What is the first derivative of -884*f**2 + 884*f**2 - q - f**4 wrt f?
-4*f**3
What is the third derivative of 30*g**2 - g + 306 + 84*g**3 - 306 wrt g?
504
Let s(v) = v**3 + 11*v**2 + 10*v + 6. Let n be s(-10). Find the third derivative of -6*x**n - 4*x**6 - 2*x**2 - 2*x**6 wrt x.
-1440*x**3
Let p = 54 + -51. What is the second derivative of 56*t + 3*t**2 + 6*t**5 - p*t**2 - 30*t wrt t?
120*t**3
Let x(j) be the third derivative of -j**5/4 + j**3 - 9*j**2. Let p(a) = -8*a**2 + 3. Let y(w) = -11*p(w) + 6*x(w). Find the first derivative of y(o) wrt o.
-4*o
Let h(v) be the first derivative of -7*v**3/3 - 2*v - 2. Let o(y) = -y**2 - 1. Let j(p) = h(p) - 4*o(p). Find the first derivative of j(x) wrt x.
-6*x
Let u(l) = -l**2 - 128*l - 215. Let x(f) = -f**2 - 1. Let c(j) = u(j) - 2*x(j). What is the first derivative of c(a) wrt a?
2*a - 128
Let j(l) = -21*l**2 + 21*l + 435. Let h(b) = 2*b + 1. Let g(v) = 6*h(v) - j(v). What is the derivative of g(p) wrt p?
42*p - 9
What is the second derivative of -5*q**3 + 17972*q**4 - 17841*q**4 - 316*q + 44*q wrt q?
1572*q**2 - 30*q
Suppose -q - 2*r - 5 = 3, 0 = q - 4*r - 22. Suppose 0*h + q*b = -4*h + 8, -b = 2. Find the first derivative of 14 + h*o**3 + 17*o - 17*o wrt o.
9*o**2
Suppose -4*k + 3*k = -4. Find the third derivative of 22*b**2 - 12*b**k + 35*b**4 - 22*b**3 + 22*b**3 wrt b.
552*b
What is the derivative of -10 - 9*f**4 - 3*f + 23 + 9*f wrt f?
-36*f**3 + 6
Let f(z) be the first derivative of -3*z**5 - 3*z**2/2 + 224*z - 432. Differentiate f(i) wrt i.
-60*i**3 - 3
Let o(p) = 168*p**3 + 24*p**2 + 298. Let f(u) = -504*u**3 - 68*u**2 - 893. Let s(w) = -6*f(w) - 17*o(w). What is the first derivative of s(v) wrt v?
504*v**2
What is the second derivative of 1724*r**4 - 3439*r**4 + 69*r + 218*r - 136*r**5 + 1715*r**4 wrt r?
-2720*r**3
Let z(t) = -945*t**3 + 20*t**2 + 1860*t + 20. Let f(n) = 135*n**3 - 3*n**2 - 266*n - 3. Let q(i) = -20*f(i) - 3*z(i). Find the second derivative of q(p) wrt p.
810*p
Let x(a) be the third derivative of -a**8/2520 + a**6/240 + a**5/20 + 13*a**2. Let p(v) be the third derivative of x(v). Differentiate p(h) wrt h.
-16*h
Let s(y) = -2*y + 13 + 3*y - 13. Let k be s(4). Find the first derivative of 9*n - 2 + k*n - 8*n wrt n.
5
Let b be 11 - (-6*1 - -3). What is the second derivative of 9*a + 11*a + 14*a**5 - b*a wrt a?
280*a**3
Let m(u) be the first derivative of 210*u**3 - 595*u**2/2 + 310. What is the second derivative of m(y) wrt y?
1260
Let m = -22 + 40. Suppose -m = -9*r + 9. Find the third derivative of -4*z**5 + r*z**2 + 6*z**2 + 0*z**2 wrt z.
-240*z**2
Let g(s) = 4*s**2 - 49*s - 131. Let i(m) = m**2 - m + 2. Let o(x) = -g(x) + 5*i(x). What is the derivative of o(a) wrt a?
2*a + 44
Let n(w) = 113*w**3 + 4*w**2 - 3*w - 46. Let m(f) = -112*f**3 - 3*f**2 + 2*f + 45. Let z(k) = 3*m(k) + 2*n(k). Find the third derivative of z(l) wrt l.
-660
Find the second derivative of 98*m**2 - 111*m + 3*m**3 - 3*m - 101*m**2 - 4*m wrt m.
18*m - 6
Let u = -16 + 18. Find the third derivative of 6*d**2 + 7*d**5 - u*d + 2*d - 13*d**2 wrt d.
420*d**2
Let c = -32 - -34. What is the derivative of 21 - 58 - 2*u**4 + 9*u**c - 9*u**2 wrt u?
-8*u**3
Suppose 4*o = -o. Let k be 0 - (0 + o) - -1. Differentiate -k - 3 + 0 + 6 + 3*a wrt a.
3
What is the third derivative of 131*a - 259*a - 11*a**2 - 280*a**3 + 130*a wrt a?
-1680
Find the third derivative of -d - 19*d**5 + 34*d**5 + 2*d**5 + 33*d**2 wrt d.
1020*d**2
Let t(n) be the first derivative of 4*n**5/5 + 29*n**4/4 + 773*n**3/3 + 489. What is the third derivative of t(b) wrt b?
96*b + 174
Let k(a) = 79*a**5 - 4*a**3 - 399*a**2 + 2. Let v(b) = b**5 - b**3 - 2*b**2 + 1. Let c(y) = -k(y) + 2*v(y). Find the third derivative of c(i) wrt i.
-4620*i**2 + 12
Let x be 1 + (-2)/2*-12. What is the third derivative of -31*s**2 + 4*s**3 + 13*s**3 + 11*s**3 - x*s**3 wrt s?
90
Let r(k) be the third derivative of -119*k**6/30 + k**4/24 - 89*k**3/6 + 2*k**2 - 447*k. Find the second derivative of r(h) wrt h.
-2856*h
Let u = 18 - 23. Let x(z) = -2*z - 8. Let p be x(u). What is the derivative of 9*a**4 - 6 - 2*a**p - 1 + 2*a**2 wrt a?
36*a**3
Let j = -5 - -9. Let f(k) = 15*k + 72. Let h be f(-4). Find the third derivative of 0*q**4 - 3*q**4 + h*q**2 - j*q**2 wrt q.
-72*q
What is the second derivative of -99098*h**2 + h**3 - 33 + 98983*h**2 - 3*h - 41 wrt h?
6*h - 230
Let u(c) = 1923 - 1923 + c. Let o(t) = -4*t - 19. Let x(f) = o(f) - u(f). What is the derivative of x(z) wrt z?
-5
Let b(t) = -t**5 + t**3 - t - 1. Let r(a) = 6*a**5 + 2*a**3 - 330*a**2 + a + 1. Let j(s) = -b(s) - r(s). Find the third derivative of j(n) wrt n.
-300*n**2 - 18
Let s(q) = -46*q**4 - 3*q**3 + 7*q**2 - 10. Let x(y) = 46*y**4 + 4*y**3 - 8*y**2 + 9. Let z(k) = -4*s(k) - 3*x(k). Find the third derivative of z(o) wrt o.
1104*o
What is the second derivative of o**4 - 196*o**5 + 3*o**4 + 200*o - 10*o**4 + 6*o**4 wrt o?
-3920*o**3
Let r(w) = 83*w**4 + 6*w**3 - 6*w - 50. Let d(a) = -165*a**4 - 11*a**3 + 11*a + 99. Let o(l) = 6*d(l