ive of 0 + 0*q**2 + 1/6*q**4 - 6*q + 27/20*q**5 + 0*q**3. What is the third derivative of d(n) wrt n?
162
Suppose 3*i + 17 = 4*i. Let g = 27 + -11. What is the first derivative of -1 - 1 + i*b - g*b wrt b?
1
Let b(x) be the third derivative of 32*x**7/105 + x**4/8 + 251*x**3/3 - x**2 + 403*x. Differentiate b(a) wrt a.
256*a**3 + 3
Let y = 17 - 19. Let i = y + 7. What is the derivative of 3 + 3*m**2 + 0*m**2 - i wrt m?
6*m
Let m(y) = -y**2 + 1. Let j(a) = 3*a**2 - 20*a - 163. Let t(u) = j(u) + 4*m(u). What is the first derivative of t(v) wrt v?
-2*v - 20
Suppose -68 = -7*g - 33. Let h(z) be the second derivative of 0 + 0*z**3 - 7/12*z**4 - 4*z + 0*z**2 - 7/20*z**g. What is the third derivative of h(r) wrt r?
-42
What is the third derivative of 3*b**2 + 19*b**5 - b**6 + 78*b**5 + 41*b**5 + 20*b**2 wrt b?
-120*b**3 + 8280*b**2
Suppose 5*y - 6 - 4 = 0. Let m(o) = 2*o**3 - 2*o**2 + 3. Let z be m(y). What is the first derivative of -4*h + 8*h**2 + 9 + 4*h - z wrt h?
16*h
Let t(q) = 3*q**2 + 4*q - 2. Let i be t(1). Find the third derivative of -10*u**2 + 10*u**3 + i*u**2 + 0*u**2 - 8*u**2 wrt u.
60
Let t(p) = -103*p**3 + 5*p**2 - 65*p + 5. Let m(n) = 308*n**3 - 14*n**2 + 196*n - 14. Let h(i) = -5*m(i) - 14*t(i). Find the second derivative of h(k) wrt k.
-588*k
Let s(w) be the third derivative of -w**8/168 - w**7/35 - 5*w**5/12 + w**4/12 + 28*w**2. Find the third derivative of s(a) wrt a.
-120*a**2 - 144*a
Let b(d) = 30*d**3 + 6*d**2 - 40*d - 7. Let o(t) = 29*t**3 + 5*t**2 - 40*t - 6. Let s(v) = -5*b(v) + 6*o(v). Find the second derivative of s(a) wrt a.
144*a
Let w(o) be the third derivative of 0*o - 13/6*o**3 + 1/12*o**4 - 33*o**2 + 0. What is the first derivative of w(j) wrt j?
2
Let z(f) = -5*f + 145. Let h be z(29). Let w(d) be the second derivative of 0 + 1/12*d**4 + 5*d**2 + 2*d + h*d**3. Differentiate w(k) wrt k.
2*k
Suppose 5*r + 12 + 8 = 0. Let n be (0 + r)/(12/(-18)). Find the second derivative of n*t**4 - 14*t**4 + 9*t**4 + t wrt t.
12*t**2
Let t(v) be the third derivative of 2*v**6 - v**4/12 + v**3/2 + 235*v**2. What is the second derivative of t(d) wrt d?
1440*d
Differentiate 447*j**3 - 42*j - 892*j**3 + 443*j**3 + 4 wrt j.
-6*j**2 - 42
Differentiate 194 - 2*t - 509 + 160 + 8*t - t**2 wrt t.
-2*t + 6
Let t be (-11)/(-8)*2*4. Let l(v) = v**3 - 10*v**2 - 11*v + 2. Let d be l(t). Differentiate -3*x + 58 + 3*x - 57 - 3*x**d with respect to x.
-6*x
Let p(y) be the second derivative of -y**5/10 + 23*y**4/12 + 5*y**3/3 - y**2 - 507*y. What is the second derivative of p(j) wrt j?
-12*j + 46
Let c(b) = 13*b**4 + 10*b**3 - 72*b**2 - 3. Let z(a) = -14*a**4 - 10*a**3 + 71*a**2 + 2. Let y(u) = 2*c(u) + 3*z(u). Find the third derivative of y(i) wrt i.
-384*i - 60
Let k(z) = -z - 13. Let y be k(-16). Find the third derivative of 24*f**4 - 5*f**2 - 17*f**3 + 17*f**y - 16*f**2 wrt f.
576*f
What is the second derivative of 15*a**2 - 26 + 13 + 9*a**3 - 39*a - 3*a**3 + 7*a + 10 wrt a?
36*a + 30
Suppose 15*p - 11*p - 8 = 0. Find the third derivative of 4*r**p - 24*r**2 - 27*r**2 + 10*r**2 + 42*r**6 wrt r.
5040*r**3
Let j(u) be the first derivative of 15*u**4/4 + 130*u**3/3 - 172. Find the third derivative of j(w) wrt w.
90
Let q(y) be the second derivative of -29*y**6/10 - 29*y**4/12 + y**3/6 - 7*y + 1. What is the third derivative of q(x) wrt x?
-2088*x
Let p(q) = -4*q - 1. Let s be p(-1). Let h = -1 + s. What is the derivative of 4*k + 2 - h*k - 2 + 3 wrt k?
2
Let q = 132 - 104. What is the second derivative of -39*m - 46*m + 47*m - q*m**5 wrt m?
-560*m**3
Suppose 0 = -5*y + 14 + 21. What is the derivative of 3*t - y + 5*t - 2*t wrt t?
6
Suppose -6*w + 40 = -w. What is the first derivative of -w + 10 - 16 + 7*m**2 + m**2 wrt m?
16*m
Let f = 14 + -74. Let r be (f/(-9))/((-2)/(-3)). Differentiate r*g**2 - 7*g**2 + 10 + 2 wrt g.
6*g
Let a(d) = -25*d**2 - 24*d. Let p(g) = -12*g**2 - 12*g. Let c = 14 - 9. Let l(x) = c*p(x) - 3*a(x). What is the second derivative of l(r) wrt r?
30
Differentiate -387 + 597*f + 793 - 407 with respect to f.
597
Let y(i) be the first derivative of -34*i - 3*i + 11*i - 20 - 6*i**5. Differentiate y(c) wrt c.
-120*c**3
Let y(u) = 34*u**4 - 16*u**3 + 16*u - 46. Let f(r) = -2*r - r**4 + 12*r**4 - 12 - 5*r**3 - 3 + 7*r. Let p(m) = 16*f(m) - 5*y(m). Differentiate p(c) wrt c.
24*c**3
Let u(i) be the first derivative of 97*i**3/3 - 141*i + 183. Differentiate u(j) with respect to j.
194*j
Let k = 41 - 4. Let b = 40 - k. What is the third derivative of 5*n**4 + 0*n**2 + 5*n**4 - 16*n**2 + b*n**2 wrt n?
240*n
Let y = -17 + 20. What is the second derivative of -15*v - 5*v**y + 14*v + v**3 wrt v?
-24*v
What is the derivative of -1113*t**2 + 1113*t**2 - 757 - 627*t**3 wrt t?
-1881*t**2
Find the third derivative of 3*c**2 - 19*c**6 - 4*c**2 - 11*c - 20*c - 31*c wrt c.
-2280*c**3
Let f(m) be the first derivative of -15*m**2/2 + 4*m + 79. Differentiate f(a) with respect to a.
-15
Let h(a) = -a**2 - 5*a + 8. Let j be h(-6). Let n(s) = s**2 - 2*s + 3. Let p be n(3). Find the second derivative of 3*u + u**5 - p*u**2 - j*u**5 + 6*u**2 wrt u.
-20*u**3
Let w(l) = -l - 1. Let d(p) be the first derivative of 8*p + 9/2*p**2 - 3. Let f(t) = d(t) + 4*w(t). Differentiate f(s) wrt s.
5
Suppose 67 = 4*l + 19. Let s be (-2)/(2 + l/(-5)). Find the third derivative of -s*i**6 + 0*i**6 + i**2 + 0*i**6 + 3*i**6 wrt i.
-240*i**3
Let q(y) be the second derivative of -y**5/20 - 6*y**3 + 150*y**2 + 193*y. What is the first derivative of q(g) wrt g?
-3*g**2 - 36
Let c(v) = -8*v + 1. Let j be c(-1). Let o be (-3)/j - 21/(-9). Find the third derivative of -72*f**3 - 2*f**2 - f**o + 66*f**3 wrt f.
-36
What is the second derivative of 18*q**3 - 19*q**3 + 0*q**5 - 2 - q**5 - 8*q + 26*q wrt q?
-20*q**3 - 6*q
Suppose r = 6*r - 15. What is the first derivative of -r*t + 4*t - 522 + 534 wrt t?
1
Let t(w) be the third derivative of w**7/105 - 111*w**5/20 - 337*w**3/6 + 81*w**2 - 1. Differentiate t(p) wrt p.
8*p**3 - 666*p
Find the third derivative of 2*t**6 - 39*t**2 - 30*t**2 - 18*t**5 - 2*t + 70*t**2 wrt t.
240*t**3 - 1080*t**2
Let q(m) = -54*m**2 + 76. Let f(s) = -s**2 - 2. Let a(h) = -4*f(h) + 2*q(h). Differentiate a(b) with respect to b.
-208*b
Let i(a) be the third derivative of a**5/4 + 17*a**4/8 + 4*a**2 - 3*a. Find the second derivative of i(d) wrt d.
30
Suppose 5*d - 180 = 5*j, 2 = d + 5*j - 40. Differentiate -8*f**3 + d - 12*f**3 - 26 wrt f.
-60*f**2
Let w be ((-6)/(-3))/(4/30). Differentiate -36 + 47 + w*i**4 - 38*i**4 wrt i.
-92*i**3
Let w(p) be the third derivative of -2*p**8/3 - 13*p**4/6 - p**3/6 + 210*p**2. Find the second derivative of w(r) wrt r.
-4480*r**3
Let p(l) = l**3 + 16*l**2 + 16*l + 17. Let v be p(-15). Suppose -m - v = -2*m. Find the second derivative of -5*s + 3*s**m + 5*s + 5*s - 6*s wrt s.
6
Find the second derivative of 6*m**3 - 27*m - 50*m - 16*m + m**4 wrt m.
12*m**2 + 36*m
Suppose 17*a - 18*a + 253 = 0. What is the derivative of 131*b**2 + 122*b**2 - a*b**2 - 31 - 16*b**4 wrt b?
-64*b**3
Suppose -2*y - 2*v = -7*y + 10, -2*v - 4 = -2*y. Suppose -3*s + y = 4*r + r, 4*r - 12 = -5*s. Differentiate s + 27*b**3 + 3*b**4 - 27*b**3 wrt b.
12*b**3
Let u(z) be the second derivative of -z**7/120 + 3*z**5/20 + z**4/2 - 14*z. Let q(o) be the third derivative of u(o). Differentiate q(b) with respect to b.
-42*b
Let d(t) = -4*t**2 + 3*t**2 - 6*t + t. Let w be d(-5). Differentiate 4*k + 5 + w*k + k + 0 wrt k.
5
What is the second derivative of -6*y**5 - 14*y**3 + 362*y - 15*y**5 + 0*y**5 + 7*y**3 + 6*y**3 wrt y?
-420*y**3 - 6*y
Let x(i) be the second derivative of 17*i**6/360 - 3*i**4/8 - 5*i**3/3 + i. Let z(w) be the second derivative of x(w). What is the derivative of z(p) wrt p?
34*p
Let o(z) be the first derivative of 0*z**2 + 0*z**3 + 52*z + 55/4*z**4 - 3. What is the first derivative of o(d) wrt d?
165*d**2
Let m(k) be the third derivative of -3*k**8/560 - k**4/4 - 3*k**3/2 + k**2. Let c(z) be the first derivative of m(z). Differentiate c(p) with respect to p.
-36*p**3
Let t(a) be the first derivative of -1/3*a**3 + 0*a - 17/2*a**4 - 4*a**2 + 48. What is the third derivative of t(v) wrt v?
-204
Let y(w) = -w**2 - 2*w + 12. Let n be y(-4). Let r be (4/(-6))/((-2)/6). What is the second derivative of 2*i**4 + 4*i**4 + 8*i - r*i**n wrt i?
48*i**2
Let b(l) 