80*a**3 - 2160*a**2
Differentiate 14*c + 250 + 4*c - 26*c + 7*c + 46*c**2 + 568 wrt c.
92*c - 1
Let y = -5 - -5. Suppose -r = -y*r - 4. Differentiate 6*s**4 - 2 - r*s**3 + 7*s**3 - 3*s**3 with respect to s.
24*s**3
Let z(g) = 419*g + 381. Let f(t) = -831*t - 761. Let u(q) = 6*f(q) + 11*z(q). Differentiate u(h) with respect to h.
-377
Suppose 5*u - 109 = -9. What is the second derivative of -24*k**3 + 4*k**3 + 6 - u*k - 6 wrt k?
-120*k
Let p(x) = 18*x**5 + 12*x**4 - 48*x**2. Let t(d) = 20*d**5 + 11*d**4 - 48*d**2. Let y(a) = 6*p(a) - 5*t(a). What is the third derivative of y(b) wrt b?
480*b**2 + 408*b
Let y(j) = 4*j**2 + 2*j. Let a be y(1). What is the second derivative of -2*b + 5*b**3 - a*b + 10*b wrt b?
30*b
Let c(x) be the second derivative of 39*x**7/14 + 19*x**4/4 + x**2 - 97*x. What is the third derivative of c(z) wrt z?
7020*z**2
Let i(r) = -r**5 + 2*r**4 + r**3 - r. Let d(k) = 138*k**5 - 24*k**4 - 12*k**3 - 141*k. Let b(p) = -d(p) - 12*i(p). Find the second derivative of b(g) wrt g.
-2520*g**3
Let j(y) be the second derivative of 1/2*y**3 - 2/7*y**7 + 0 + 0*y**6 + 0*y**5 + 11*y + 0*y**4 + 0*y**2. What is the second derivative of j(g) wrt g?
-240*g**3
Let r(y) = y**4 + y**3 - 1. Let k(x) = -3*x**3 + 3*x**2 - 13. Let v(d) = -k(d) - 3*r(d). What is the derivative of v(p) wrt p?
-12*p**3 - 6*p
Let m(q) be the second derivative of -13*q**6/10 - q**4/6 + 11*q**3/6 - 2*q + 39. Find the second derivative of m(w) wrt w.
-468*w**2 - 4
Suppose -u = 4*t + 9, 3*u + t + 0 = 6. What is the third derivative of 33*m**2 + 7*m**u - 1 - 18*m**2 + 1 wrt m?
42
Let g(p) = -5*p + 24. Let z be g(4). Let l(s) be the third derivative of -1/2*s**3 - 3*s**2 - 1/4*s**z + 0*s + 0. Find the first derivative of l(y) wrt y.
-6
Let u(j) be the third derivative of j**5/2 - 3*j**3/2 - 5*j**2 - 9. Differentiate u(s) with respect to s.
60*s
Let u(l) be the third derivative of -97*l**6/120 + l**4/12 - 21*l**3 - 4*l**2 + 11*l. Find the first derivative of u(d) wrt d.
-291*d**2 + 2
What is the third derivative of -45*b**6 + 287*b**2 + b**5 - 30*b**6 + 3 + 86*b**6 - 3 wrt b?
1320*b**3 + 60*b**2
Let b(s) = -s - 1. Let k(t) = -18*t + 6*t**3 + 0*t**3 - 4*t**3 + 4. Let z(r) = 4*b(r) + k(r). What is the second derivative of z(i) wrt i?
12*i
Let t(d) be the second derivative of -19*d**5/4 - 34*d**4/3 - 164*d. Find the third derivative of t(g) wrt g.
-570
Suppose -3*c - 1 = -1. Let b(w) be the first derivative of c*w**2 + 0*w - 1/3*w**3 + 1/4*w**4 + 4. Find the third derivative of b(q) wrt q.
6
Let g(d) be the third derivative of 0 + 5/12*d**4 + 3/20*d**5 + 0*d + 0*d**3 + 29*d**2. What is the second derivative of g(r) wrt r?
18
Let m(w) = w**3 + 3*w**2 - 10*w + 3. Let x be m(-5). What is the first derivative of -14*v**x - 31 + 59 + 2*v**3 wrt v?
-36*v**2
Let s = 3 - 9. Let i(y) = -y - 1. Let o(v) = -4*v**3 + 4*v + 3. Suppose 0 = -w - 7 + 5. Let f(d) = s*i(d) + w*o(d). What is the second derivative of f(h) wrt h?
48*h
Let p = -6 - -9. Find the third derivative of -9*o**6 + p*o**2 - 2*o**6 - 5*o**2 - o**6 wrt o.
-1440*o**3
Find the third derivative of -4*w**3 + 28*w**2 - 101*w**2 + 29*w**2 - 5*w**6 wrt w.
-600*w**3 - 24
Find the third derivative of 20*d**2 + 53*d**5 + 11483*d**3 - 11484*d**3 - 14*d**5 wrt d.
2340*d**2 - 6
Let j(x) = -29*x - 37. Let v(y) = -60*y - 73. Let w(m) = -9*j(m) + 4*v(m). Find the first derivative of w(f) wrt f.
21
Let l(p) be the second derivative of 0*p**5 + 0 - 13/15*p**6 + 0*p**4 - 11/6*p**3 + 0*p**2 + p. Find the second derivative of l(x) wrt x.
-312*x**2
Let c = -9 + 13. Suppose -q = -4*o - 4, 0 = 6*q - 9*q - 5*o + 12. Differentiate q*m**3 - 5 - 8*m**3 + c with respect to m.
-12*m**2
Let f(u) = 3*u - 96. Let x be f(33). Let y(r) be the first derivative of -r + 1 - 7/3*r**x + 0*r**2. What is the derivative of y(j) wrt j?
-14*j
Let f(b) be the second derivative of -95*b**4/6 + 281*b**2 + 236*b. What is the first derivative of f(c) wrt c?
-380*c
Let q(d) be the first derivative of d**7/7 - 32*d**6 - 8*d**3/3 - 22*d + 404. Find the third derivative of q(r) wrt r.
120*r**3 - 11520*r**2
Let x(d) be the third derivative of -103*d**5/60 - 287*d**4/24 - 223*d**2. Find the second derivative of x(m) wrt m.
-206
Let f(k) be the first derivative of -k**3/3 + k - 6. Let r = 6 - 7. Let c(d) = 5. Let i(q) = r*f(q) + c(q). Find the first derivative of i(v) wrt v.
2*v
Suppose 2 = -3*l - 2*l + 3*c, 2*l + 8 = 3*c. What is the second derivative of -5*g**l - 12*g**4 + 17*g - 9*g + 5*g**2 wrt g?
-144*g**2
What is the third derivative of 5*q**3 - 6*q**3 - 201*q**2 - 8*q**4 + 23 + 18*q**4 - 23 wrt q?
240*q - 6
Let y(z) = z**3 - z**2. Let h(l) = 71*l**3 + 2*l + 42. Let q(c) = h(c) + 4*y(c). What is the second derivative of q(i) wrt i?
450*i - 8
What is the third derivative of -2*o**2 + 13*o**2 - 5*o**2 + 0*o**2 + 432*o**3 + 84*o - 3*o**2 wrt o?
2592
Let y(r) be the second derivative of -313*r**6/30 - 26*r**3 + 176*r. Find the second derivative of y(d) wrt d.
-3756*d**2
Let p(u) be the first derivative of 84*u**4 + 4*u**3/3 + u**2 - 657. What is the third derivative of p(l) wrt l?
2016
Let l(u) be the second derivative of -u**6/15 - 29*u**5/20 - 49*u**4/4 - 74*u. What is the third derivative of l(b) wrt b?
-48*b - 174
Let h(j) be the first derivative of j**6/10 - j**4/3 + 7*j**2/2 - 5. Let p(z) be the second derivative of h(z). Find the second derivative of p(k) wrt k.
72*k
Let g(m) = -131*m**5 + 5*m + 10. Let y(u) = 261*u**5 - 11*u - 21. Let d(q) = -9*g(q) - 4*y(q). Find the second derivative of d(a) wrt a.
2700*a**3
Let q(c) = -716*c**4 + 3*c**3 - 6*c - 795. Let y(z) = -716*z**4 + 4*z**3 - 8*z - 796. Let m(h) = -4*q(h) + 3*y(h). Differentiate m(r) wrt r.
2864*r**3
Let n(u) be the second derivative of 5/6*u**4 + 1/2*u**3 + 11*u + 0 + 0*u**2. Find the second derivative of n(f) wrt f.
20
Let x(p) = -p - 2. Let r(q) = -29*q - 81. Let g(m) = r(m) - 3*x(m). Find the first derivative of g(y) wrt y.
-26
What is the derivative of 21 + 177 - 132*k**4 - 21*k**4 + 37*k**4 + 15 wrt k?
-464*k**3
Suppose 0 = -4*a + 1 + 15. What is the third derivative of 11*b**2 - 7*b**a - 20 - 9*b**2 + 26*b**4 wrt b?
456*b
Let m(a) be the second derivative of -a**7/14 - a**5/4 + a**4/4 - 5*a**3/6 + 44*a + 1. Find the third derivative of m(l) wrt l.
-180*l**2 - 30
Let d(t) be the second derivative of -51*t**5/5 - 31*t**2/2 - 82*t. What is the first derivative of d(f) wrt f?
-612*f**2
Let x(s) be the first derivative of -62*s**5/5 + 70*s**3/3 + 98. What is the third derivative of x(l) wrt l?
-1488*l
Let d = 3 - 1. Suppose -5*r - 10 = -5*c, -3*r - 2*c + 14 = -c. What is the third derivative of 13*u**2 + 8*u**2 - 3*u**r - 25*u**d wrt u?
-18
Find the third derivative of -48*m**3 - m**4 + 57*m**2 + 0*m**4 + 156*m**2 wrt m.
-24*m - 288
Let a(w) be the second derivative of -44*w**7/21 + 5*w**4/4 + w**3/6 + w + 7. What is the third derivative of a(b) wrt b?
-5280*b**2
What is the second derivative of -7*c**2 + 5567 + 2*c - 4*c**2 + c**3 - 5696 - 3*c**2 wrt c?
6*c - 28
Let p(k) = -43*k + 92. Let x(c) = 130*c - 277. Let t(w) = 7*p(w) + 2*x(w). Differentiate t(m) wrt m.
-41
Let p(m) be the first derivative of 29*m**3 + 189*m + 73. What is the derivative of p(f) wrt f?
174*f
Suppose 5*n + 2*y + 74 = 88, 5*y = n - 19. Let u be (-4*1)/(1/(-4)). What is the first derivative of 0 + u*g - 16*g - 3 + 2*g**n wrt g?
8*g**3
Let g(c) be the second derivative of -131*c**5/10 - 55*c**4/12 - 3*c**2/2 - 333*c - 1. Find the third derivative of g(w) wrt w.
-1572
Let u be ((-4)/(-1))/(-5 - -7). Suppose u*q - 2 = -w + 7, 0 = -2*w + 4*q - 6. Find the second derivative of -h**5 - 3*h**w + 8*h**5 - h + 3*h**3 wrt h.
140*h**3
What is the derivative of -250*p**3 + 286 - 51 + 39 wrt p?
-750*p**2
Let o(m) = -11*m**3 - 5*m**2 + 5*m + 24. Let b(x) = -x**2 + x. Let s = -2 - 3. Let v(j) = s*b(j) + o(j). Differentiate v(i) wrt i.
-33*i**2
Let m(x) = -x**3 + 3*x**2 - 5*x + 1. Let l be m(2). Let z be l/20*-4*3. What is the second derivative of -8*y**4 + 56*y**z - 56*y**3 + 14*y wrt y?
-96*y**2
Find the second derivative of 13*c**2 - 33*c**2 - 42*c**2 - 50*c wrt c.
-124
Let l = -38 - -42. Find the second derivative of 0*b + b**4 + 3*b**l - 2*b - 4*b wrt b.
48*b**2
Let v be (94/5)/(16/40). What is the first derivative of 0*k + 2*k - 7*k + 0*k - v wrt k?