y - 7
Let p(q) be the third derivative of 22*q**7/105 - q**5/60 + 7*q**3/6 + 74*q**2. Find the third derivative of p(m) wrt m.
1056*m
What is the third derivative of -k**2 - 89*k - 106*k**5 - 74*k + 36*k**5 + 53*k wrt k?
-4200*k**2
Let a(n) = -242*n**3 - 5*n**2 + 5*n - 436. Let k(t) = 121*t**3 + 3*t**2 - 3*t + 219. Let p(c) = -3*a(c) - 5*k(c). Differentiate p(w) with respect to w.
363*w**2
Let q(b) be the second derivative of -b**8/2 - b**7/21 + 15*b**4/4 + 94*b. What is the third derivative of q(u) wrt u?
-3360*u**3 - 120*u**2
Let c(w) = 36*w**5 - 6*w**3 + w + 15. Let n(f) = 37*f**5 - 5*f**3 + f + 16. Let u(p) = 5*c(p) - 6*n(p). What is the second derivative of u(j) wrt j?
-840*j**3
Let p(v) be the first derivative of 199*v**2 + 259*v + 470. Differentiate p(q) wrt q.
398
Let n(d) be the third derivative of 8*d**2 + 7/60*d**6 + 0 + 0*d + 0*d**4 + 0*d**3 - 1/10*d**5. Find the third derivative of n(a) wrt a.
84
What is the third derivative of -12165*p**2 - 2*p**5 + p + 12248*p**2 - 4*p**4 - p wrt p?
-120*p**2 - 96*p
Let o(k) be the second derivative of -63*k**5/5 + 633*k**2/2 - 508*k. What is the first derivative of o(m) wrt m?
-756*m**2
Let h = 12 - 31. Let k = -14 - h. Differentiate 8*f + 8 - 1 - k with respect to f.
8
Let g(l) = -l**3 + 3*l**2 - 2. Let p = -19 - -21. Let u be g(p). Find the second derivative of -u*d**4 - 9*d + 3*d - d**4 - 3*d**4 wrt d.
-72*d**2
Suppose 2*n - 16 = 3*o, -4 + 6 = 5*n + 2*o. Find the first derivative of n*k + 7 - 3*k + 0*k wrt k.
-1
Suppose 3*j - 10 - 2 = 0. Suppose -j*t + 0*t = -20. Find the third derivative of t*n**6 - 2*n - 4*n**6 + 4*n**2 + 2*n wrt n.
120*n**3
Suppose -f - 2*f = -3*p - 24, 25 = 2*f - 5*p. Differentiate -36*a**3 - f + 15*a**3 + 19*a**3 - 25 - a with respect to a.
-6*a**2 - 1
Let h = 16 - 11. Let b be ((-3)/(-3) - 4)/(-1). Find the second derivative of 2*t + 4*t + 0*t**3 + h*t**b + t wrt t.
30*t
Suppose -2*k - 2*k + 16 = 0. Suppose k*d - 26 = 34. Differentiate 20 - 4*i**4 - d - i**4 wrt i.
-20*i**3
Let w(n) = -10*n**4 - 12*n**3 + 79*n**2 - 12*n + 264. Let p(k) = k**4 + 2*k**3 + k**2 + 2*k. Let h(j) = 6*p(j) + w(j). Find the first derivative of h(r) wrt r.
-16*r**3 + 170*r
Let y(u) be the first derivative of 8*u**3/3 + u**2/2 - 35*u + 147. Find the first derivative of y(k) wrt k.
16*k + 1
Let n(u) be the first derivative of 19 - 5/2*u**2 + 0*u + 10/3*u**3. What is the second derivative of n(l) wrt l?
20
Suppose 12 + 4 = 8*n. Let b(u) be the second derivative of -2*u**n - u + 1/6*u**4 + 0*u**3 + 0. Find the first derivative of b(x) wrt x.
4*x
Let n(w) = 17*w + 0*w**2 + w**2 + 2*w**2. Let g = -234 + 227. Let v(j) = 4*j**2 + 25*j. Let p(l) = g*n(l) + 5*v(l). What is the second derivative of p(c) wrt c?
-2
Let h be -2*3/(-6) + 8. Find the first derivative of h + 2 + 0*k**2 + 4*k**2 + 0 wrt k.
8*k
Find the third derivative of 78*s**2 + 26*s**4 - 53*s**4 - 19*s**4 - 32*s**4 wrt s.
-1872*s
Let h(u) be the third derivative of u**8/840 - u**6/60 + 7*u**5/20 - 11*u**2. Let x(o) be the third derivative of h(o). Differentiate x(z) wrt z.
48*z
Let l(n) = 5*n - 3. Let h(f) = 10*f - 5. Let q = 2 + 4. Let s(t) = t - 13. Let x be s(q). Let g(o) = x*l(o) + 4*h(o). What is the derivative of g(y) wrt y?
5
Let v(c) be the second derivative of c**4/12 - c**3/6 + 5*c**2/2 - 3*c. Let p be v(0). Find the third derivative of p*f**5 + 46 - f**2 - 46 wrt f.
300*f**2
Suppose -z = 2*t + 2*z - 33, -5*z + 20 = t. Suppose -19*d + 22*d = t. Find the first derivative of 5 - 13 + d + 14*y wrt y.
14
Find the third derivative of -184*b**3 + 95*b**3 + 2 - 143*b**4 + 37*b**4 - 25*b**2 + 87*b**3 wrt b.
-2544*b - 12
What is the second derivative of 18*u**2 - 76*u**2 + 16*u**2 + 16*u**2 + 22*u**2 + 123*u - 5*u**3 wrt u?
-30*u - 8
Let h(o) = 3*o**2 + 7*o. Let l be h(-6). Suppose b = 5*t - l, 0 = -2*t + 3*b + b + 12. Find the second derivative of 16*r**4 + 3*r - t*r**4 + r wrt r.
24*r**2
Let o be (4 + (1 - 2))*5. Suppose 0 = -m + 6*m - o. Find the third derivative of 2*u**2 + u**4 + m*u**4 + 0*u**4 wrt u.
96*u
Find the second derivative of c**2 + 1243*c + 503*c**5 - 1736*c + 2*c**2 - 3*c**2 wrt c.
10060*c**3
Find the second derivative of 3 + 21*t - 9 - 112*t - 46*t + 4 - 315*t**2 wrt t.
-630
Let h(f) be the second derivative of -23*f**7/21 - 3*f**5/20 - f**3/6 + 37*f**2/2 - 133*f. What is the second derivative of h(s) wrt s?
-920*s**3 - 18*s
Let y(r) = -5*r - 24. Suppose -3 = -w + 4*b - 14, 4*b - 18 = 2*w. Let m be y(w). What is the third derivative of 0*c**5 - m*c**5 - 291*c**2 + 278*c**2 wrt c?
-660*c**2
Let o = 33 - 25. Suppose -o*d = -3*d. Differentiate d*t**4 + 6*t**4 - 9 + 3*t**4 wrt t.
36*t**3
Let p = 23 + -17. Suppose 2*l = 3*o - 10, -l + p*l = -10. What is the second derivative of 4*q**2 + 0*q**2 + 0*q**2 + 0*q**o - 4*q wrt q?
8
Suppose 3*j - j = 34. Differentiate -3*o + j*o + 4*o + 5*o - 4 with respect to o.
23
Suppose -13 = -2*m + m - 3*s, -3*m + 4*s = 0. Let x(n) be the second derivative of -1/2*n**2 + 0*n**3 + 0*n**m - 5*n + 3/20*n**5 + 0. Differentiate x(p) wrt p.
9*p**2
Let f(q) = -q - 1. Let s(k) = k - 3. Let y(h) = -4*f(h) + s(h). Let p be y(1). What is the derivative of 3 - 2 - p*n**2 + 8 - 2 wrt n?
-12*n
Let u(a) be the third derivative of a**6/240 - 7*a**5/120 + 19*a**4/24 - 12*a**2. Let q(g) be the second derivative of u(g). Differentiate q(p) wrt p.
3
Let b = 907 + -904. Let g(l) be the first derivative of 0*l**5 - 7/2*l**2 + 0*l + 9 + 0*l**4 - 1/3*l**6 + 0*l**b. What is the second derivative of g(y) wrt y?
-40*y**3
Let r(b) be the first derivative of 3*b**7/7 + 25*b**6/2 + 284*b**3/3 + 539. What is the third derivative of r(q) wrt q?
360*q**3 + 4500*q**2
Let f be ((-190)/152)/(1/4*-1). What is the third derivative of -8*g**f - g**2 - g**5 + 0*g**2 - 8*g**2 wrt g?
-540*g**2
Suppose 0*l = 2*l. Suppose l = -5*p - 2*v + 10, v + 2 + 4 = 3*p. Find the third derivative of 0*x**p - 3*x**2 + 2*x**2 + 3*x**4 + 0*x**2 wrt x.
72*x
Let i(f) be the second derivative of 58*f**6/5 - 563*f**4/12 + 6*f - 37. What is the third derivative of i(h) wrt h?
8352*h
Let c(i) be the third derivative of 1/12*i**4 + 6 + 0*i + 3*i**2 + 19/3*i**3 - 1/20*i**5. Differentiate c(k) with respect to k.
-6*k + 2
Let u(d) be the third derivative of 16*d**4/3 - d**3 + 24*d**2 - 1. Differentiate u(b) wrt b.
128
Let r = 14 + -14. Suppose r = 5*c - 9 - 11. Differentiate 3 - 2*l**c - 3*l**4 - 9 + l**4 with respect to l.
-16*l**3
Find the second derivative of -2 - 3*p**4 + 2 + 1743*p - 1627*p + p**2 wrt p.
-36*p**2 + 2
Let o be -1 + (3 - 1) + 2. Let r be (-1 + 7)/o - -2. Find the second derivative of -4*g**2 + r*g**2 + 0*g + 4*g**2 + 5*g wrt g.
8
Let o(i) be the second derivative of -31*i**6/30 + 17*i**4 - 54*i - 1. Find the third derivative of o(p) wrt p.
-744*p
Let z be (-3)/21 - 544/(-672). Let d(y) be the first derivative of 0*y + 7/2*y**2 - 4 - z*y**3. Find the second derivative of d(n) wrt n.
-4
Let l(z) = z**2 - 2. Let m(n) = 324*n**3 + 12*n**2 - 354*n - 24. Let j(a) = 12*l(a) - m(a). What is the second derivative of j(p) wrt p?
-1944*p
Let s(f) = -f**3 + f**2 - f - 6. Let r(t) = t**3 - t - 1. Let m(d) = -2*r(d) - s(d). What is the second derivative of m(i) wrt i?
-6*i - 2
What is the third derivative of 13*a**6 - 119 + 96*a**2 + 155*a**6 + 118 wrt a?
20160*a**3
Let a = -606 - -609. Let l(y) be the first derivative of 2/3*y**a + 0*y**2 - y**4 - 1 + 0*y. Find the third derivative of l(s) wrt s.
-24
Let n be 0/(2 + 2 - 6). Let h(s) be the first derivative of 0*s**2 - 1 - 2/5*s**5 + 0*s**4 + n*s**3 + 6*s. Differentiate h(r) with respect to r.
-8*r**3
Let m(z) = 117*z + 126. Let d(h) = -352*h - 377. Let w(j) = -4*d(j) - 11*m(j). Differentiate w(r) wrt r.
121
Let q(i) = i**3 + 3*i**2 - 5*i - 2. Let d be q(-4). Let b = 4 + 2. Find the second derivative of -4*f + 3*f**d + b*f - 4*f wrt f.
6
Let y(g) be the third derivative of 2*g**5/3 - g**4/12 - 8*g**3/3 - 3*g**2 + 24. What is the derivative of y(s) wrt s?
80*s - 2
Find the second derivative of -9*h - 5 + 3*h + 3*h**2 - 6*h**4 - 8 + 0 + 4*h**2 wrt h.
-72*h**2 + 14
Suppose w = -3*m + 17, 2*m + w - 11 = 2. What is the derivative of -d**4 - 28*d**4 + m + 21 wrt d?
-116*d**3
Suppose 4*c - 4*f = 76, c - 5*f = -3 + 30. What is the derivative of 29 - 3*y**4 - c*y**4 + 0 - 6 wrt y?
-80*y**3
Let n(a) be the secon