b
Find the third derivative of 81*f**2 + 30*f**3 + 17 - 27 + 10 - 2*f wrt f.
180
Let t(j) = 5*j - 17. Let g be t(4). Suppose 4 = 2*c - 2. Find the second derivative of 10*k + 3*k**g + 4*k**c - 2*k - k**3 wrt k.
36*k
Let a(i) = i + 18. Let v(o) = -15*o**2 - o. Let c be v(1). Let t be a(c). Find the second derivative of 3*k + 8*k**2 + k**t + k wrt k.
18
Let v(p) = -323*p**3 - 10*p**2 + 6*p - 710. Let q(t) = -t**3 - 2*t**2 + t - 2. Let g(m) = 5*q(m) - v(m). Differentiate g(s) with respect to s.
954*s**2 - 1
Suppose -a + x = -10, -2*x = -2*a + 4*a - 4. Let r be 0 + 7/(21/a). What is the second derivative of 2*b**4 + b**4 - 6*b**4 - r*b**4 - 4*b wrt b?
-60*b**2
Let o(x) be the first derivative of -x**6/3 + 3*x**4 - 436*x**3/3 + 18. Find the third derivative of o(u) wrt u.
-120*u**2 + 72
Let d be 0 - -5 - (-7 + 6). Differentiate -5*j**4 - 32*j**4 + d + 2*j**4 wrt j.
-140*j**3
Let g(i) be the third derivative of 0*i**5 - 5*i**2 + 0*i**4 + 0*i + 0*i**6 + 0 + 31/6*i**3 - 1/10*i**7. What is the derivative of g(b) wrt b?
-84*b**3
Let n(q) be the third derivative of 13*q**5/12 + 8*q**3 - 29*q**2. Differentiate n(k) with respect to k.
130*k
Let g(s) = -s**2 - 9*s. Let j be g(-8). Let x be j/6 + (-6)/(-9). What is the second derivative of z - 5*z - 3*z**2 + 2*z - x*z**2 wrt z?
-10
Let c(b) = b**3 + 7*b**2 + b + 9. Let k be c(-7). Find the first derivative of 20 - 3 + 4*u**k + 0 - u**2 wrt u.
6*u
Let k(f) = 119*f**2 + 21*f + 4. Let y(x) = -477*x**2 - 83*x - 15. Let r(z) = -22*k(z) - 6*y(z). What is the second derivative of r(i) wrt i?
488
Find the third derivative of 7*w**4 - w**2 - 26 - 11*w**6 + 25 + 16 wrt w.
-1320*w**3 + 168*w
Let r be 66/4 - 24/(-16). Let h = r + -13. What is the second derivative of -h*g**2 + 6*g - 8*g**2 + 9*g**2 wrt g?
-8
Let v(j) = j**2 + 7*j - 9. Let x be v(-9). Suppose 0 = 5*i - x - 1. What is the derivative of -2 - i - 6*m**2 - 4 - 3 wrt m?
-12*m
Suppose 2*k + 0*k = 6. Suppose -1 - k = -2*v. What is the second derivative of -19*a - 5*a**2 + v - 2 + 15*a wrt a?
-10
Find the second derivative of -21*r + 24*r - 12*r**4 - 24*r - 2*r**3 - r**4 - 4*r**3 wrt r.
-156*r**2 - 36*r
Let y = -2 - 1. Let n = 5 + y. What is the second derivative of 0*f - n*f**5 + 4*f + f**5 - 7*f wrt f?
-20*f**3
Let k be 18/(-15)*(-35)/21. Let m(t) be the third derivative of t**3 - 1/12*t**4 + k*t**2 + 0 + 0*t. Differentiate m(j) wrt j.
-2
Suppose 0 = 5*u - 10, -y + 3*y + 2 = u. Suppose y = -i - 6 + 8. What is the third derivative of -3*b**3 - 4*b**2 + 10*b**3 + 3*b**i wrt b?
42
What is the third derivative of 5431*m**3 - 5431*m**3 + 68*m**4 - 69*m**2 wrt m?
1632*m
Let l(p) be the second derivative of 0*p**5 + 0 + 0*p**3 + 0*p**2 - 5/3*p**4 - 11*p + 7/15*p**6. What is the third derivative of l(w) wrt w?
336*w
What is the third derivative of 4*j**3 - 2*j**4 - 180*j**2 + j**2 - 3*j**3 wrt j?
-48*j + 6
Let b(h) be the third derivative of -h**7/210 - 167*h**6/120 + 123*h**3 - 280*h**2 - h. What is the derivative of b(f) wrt f?
-4*f**3 - 501*f**2
Let z(s) = 154*s**2 - 14*s + 6. Let d(f) = -463*f**2 + 44*f - 17. Let c(h) = 6*d(h) + 17*z(h). What is the second derivative of c(o) wrt o?
-320
Let h(l) be the first derivative of 196*l**6/3 + 2*l**3/3 + 230*l + 429. What is the third derivative of h(f) wrt f?
23520*f**2
Let l = 7 - 8. Let i = l - -5. What is the derivative of -7*t**4 - 4 + 3*t**i - 3*t**4 + 5*t**4 wrt t?
-8*t**3
Let f(j) be the third derivative of -31*j**5/60 - 21*j**4/4 - 88*j**2. What is the second derivative of f(g) wrt g?
-62
Let k(m) be the first derivative of 47*m**2 + 7*m + 89. Differentiate k(n) with respect to n.
94
Find the third derivative of -4*p**2 - 21*p - 31*p + 144*p**4 + 294*p**4 - 78*p**4 wrt p.
8640*p
Let o(u) be the first derivative of -59*u**4/2 - u**3/3 + 213*u**2 + 582. What is the third derivative of o(l) wrt l?
-708
Suppose -14*k + 10*k = -160. Suppose 2*v + 3 = x - 2, -k = -5*x - 5*v. What is the second derivative of -9*a**3 - a**3 + a + x*a + 3*a**3 wrt a?
-42*a
Suppose 4*c - c - 6 = 0. Find the third derivative of 15*a**4 + 5*a**2 - 9*a**c - a**4 wrt a.
336*a
Find the third derivative of 5*k**3 - 1146*k**5 + 104*k**2 + 753*k**5 - k**3 - 4*k**3 wrt k.
-23580*k**2
Let b(m) = 19*m**2 - 23*m. Let x(y) = 20*y**2 - 23*y. Suppose 10 - 45 = -7*w. Let c(z) = w*x(z) - 6*b(z). Find the second derivative of c(t) wrt t.
-28
Find the second derivative of 429*n**2 + 1 - 27*n - 259*n**2 - 1 wrt n.
340
Let x(n) = 44*n**3 - 1960*n**2 - 8*n. Let k(a) = -14*a**3 + 653*a**2 + 3*a. Let j(c) = 8*k(c) + 3*x(c). Find the third derivative of j(v) wrt v.
120
Let a be -76*(-3)/4 - (1 + 2). What is the second derivative of -60 - x**2 + 4*x + 35*x**3 - 5*x**3 + a wrt x?
180*x - 2
Let p(n) = -n**2 + 4*n + 2. Let c be p(4). Let t(l) = -l**3 + 7*l**2 - 11*l + 8. Let o be t(5). Differentiate -6*s**o + 2*s**2 - c*s**2 - 4 wrt s.
-18*s**2
Suppose 14 = 4*f - 2*f. What is the third derivative of -3 - 2*w**4 + 3 + f*w**4 - 4*w**2 wrt w?
120*w
Let j(a) = -259*a**2 - 4*a - 500. Let n(y) = -1295*y**2 - 22*y - 2502. Let d(v) = -11*j(v) + 2*n(v). What is the derivative of d(o) wrt o?
518*o
What is the third derivative of -a + 1192*a**3 - 1293*a**3 - 54*a**2 + 21*a**2 - 50*a**2 wrt a?
-606
Suppose -a = a + 4, 2*f + 4*a - 2 = 0. What is the second derivative of -37*m**f - 6*m - m + 32*m**5 wrt m?
-100*m**3
Let p(v) be the first derivative of 1 + 0*v**2 + 10*v + 13/3*v**3. What is the first derivative of p(t) wrt t?
26*t
Let v be 13 - 12 - -1*1. Find the second derivative of 3*t**4 + 8*t**4 - 5*t**4 + 3*t - v*t**4 wrt t.
48*t**2
Let p = -11 + 22. Suppose -12*f = -p*f - 2. What is the third derivative of 5*t**4 - f*t**2 + 2*t - 2*t + 0*t wrt t?
120*t
What is the second derivative of h**5 + 83*h**4 - 4*h**5 - 83*h**4 + 96*h + 6*h**2 wrt h?
-60*h**3 + 12
Let h(i) be the third derivative of -5/3*i**3 + 50*i**2 + 0*i + 0*i**4 - 13/30*i**5 + 0. What is the first derivative of h(u) wrt u?
-52*u
Let p(v) = -v - 3. Let c be p(-8). Suppose -c*g - 3*f + 16 = 0, -2*f = 4*g - 6 - 8. Differentiate -4*l**2 + 3 + 1 - 2 - g wrt l.
-8*l
Let q(a) = -a**2 + 3*a - 26. Let f(l) = 2 + 14*l - 20 - 98 - 14 - 6*l**2. Let b(w) = -3*f(w) + 14*q(w). Differentiate b(h) with respect to h.
8*h
What is the third derivative of 104*k**3 + 86*k**3 - 7*k**3 + 0*k**3 + 8*k**3 + k**6 + 2 - 419*k**2 wrt k?
120*k**3 + 1146
Let f be (6/15 - (-14)/(-10)) + 510. What is the second derivative of 35*a**2 - 477*a + f*a + 9*a**2 wrt a?
88
Let j(t) = 12*t**2 - 4*t + 3. Let s be j(1). Differentiate 2 - 4 - s*n**2 - 3*n**2 + 11*n**2 wrt n.
-6*n
Let b(y) = 33*y**2 + 11. Let g(p) = -7*p + 7. Let x be g(2). Let h(d) = -17*d**2 - 6. Let m(s) = x*h(s) - 3*b(s). What is the first derivative of m(w) wrt w?
40*w
Suppose 3*y = y + 6. What is the third derivative of 3*d**2 - 5*d**3 - y*d**3 - 5*d**3 + d**3 wrt d?
-72
Let t(p) be the first derivative of -17/4*p**4 + 0*p**3 - 5/2*p**2 + 16 + 0*p. Find the second derivative of t(b) wrt b.
-102*b
Let w be 45/20 - 3/(-4). Suppose 5*o - u = 20, -u + 12 = -0*o + w*o. What is the first derivative of -2 + 4 - 3*v**4 + o wrt v?
-12*v**3
Let z(j) be the third derivative of -5/24*j**6 + 0*j**5 + 43/24*j**4 + 0 + 0*j**3 + 0*j + 8*j**2. Find the second derivative of z(s) wrt s.
-150*s
Differentiate -56*p - 45 + 86 + 120 + 55*p + 105*p**2 with respect to p.
210*p - 1
Let m(g) be the third derivative of 0*g + 0 + 0*g**5 + 0*g**3 - 11/24*g**4 + 1/15*g**6 + 3*g**2. Find the second derivative of m(j) wrt j.
48*j
What is the third derivative of -32*u**2 + 53*u**5 + 0*u**5 + 15*u**5 wrt u?
4080*u**2
Suppose 2*h = -3*h + 35. Find the third derivative of h*t**6 - 5*t**2 - 2*t**2 - 2*t**2 - 6*t**6 wrt t.
120*t**3
Let n(c) be the second derivative of 2*c**6/15 - c**5/20 + c**3/2 + 9*c**2/2 + 206*c. Find the second derivative of n(l) wrt l.
48*l**2 - 6*l
Let p(i) = -16*i - 35. Let o(k) = k - 4 + 3 - 4*k - 6. Let j(f) = -2*f + 14. Let u be j(6). Let w(q) = u*p(q) - 11*o(q). Differentiate w(h) wrt h.
1
Let t(d) be the second derivative of 193*d**5/10 - d**3 + 17*d**2 - 47*d. What is the second derivative of t(w) wrt w?
2316*w
Let l(n) = -8*n - 13. Let x be l(-2). Differentiate 0*i**3 + 24*i**4 - x*i**4 + 4 + 0*i**3 wrt i.
84*i**3
Let r(v) = -30*v**3 - 14*v**2 + v + 1. Let t(o) = o**2 - o - 1. Let f be (-3 