t is the second derivative of d - 4*d**w + d + 2*d**2 wrt d?
-4
Suppose 32 = -0*f - 4*f. Let a(j) = -2*j - 3. Let c(m) = -4*m + 4 - 5 + m + 2*m. Let o(r) = f*c(r) + 3*a(r). Differentiate o(k) with respect to k.
2
Let z(l) = 38*l**2 + 14*l - 4. Let k(f) = -37*f**2 - 15*f + 5. Let g(x) = -4*k(x) - 5*z(x). What is the second derivative of g(b) wrt b?
-84
Let z(i) be the first derivative of 53*i**3/3 + 29*i - 27. Find the first derivative of z(p) wrt p.
106*p
Let c(m) = -8*m**3 + 2*m**2. Let r(x) = x**3 + x**2. Let n(v) = c(v) + 4*r(v). What is the third derivative of n(i) wrt i?
-24
Let r(t) be the first derivative of 2/5*t**5 - 1 - 1/2*t**2 + 0*t + 0*t**4 + 0*t**3. What is the second derivative of r(g) wrt g?
24*g**2
Let n(q) be the third derivative of q**6/24 + q**5/10 - 10*q**2. Find the third derivative of n(t) wrt t.
30
Let d(j) be the first derivative of 6*j**5/5 + 8*j**3/3 + 8. Find the third derivative of d(p) wrt p.
144*p
Let i(q) = q**2 + 10*q + 13. Let l be i(-9). What is the second derivative of o - 4*o + l*o - 7*o**5 wrt o?
-140*o**3
Let b(w) be the second derivative of 4*w**7/21 + w**4/4 - 9*w. Find the third derivative of b(k) wrt k.
480*k**2
Let b(l) be the first derivative of 19*l**5/5 - 7*l**3/3 + 19. Find the third derivative of b(v) wrt v.
456*v
Let y(u) = -u + 2*u + 0*u - 5. Let x be y(7). What is the third derivative of 2*k**4 + k**x - 4 + 4 wrt k?
48*k
Suppose -4*l - 9 = -2*d + l, -4*d + 5*l = -13. What is the first derivative of c**2 + 2 - 2*c**2 - 1 + d wrt c?
-2*c
Let l(d) be the first derivative of 9*d**4/4 - 9*d - 9. What is the derivative of l(m) wrt m?
27*m**2
Let g(a) be the third derivative of a**5/3 - 5*a**4/8 + 9*a**2. What is the second derivative of g(t) wrt t?
40
Suppose 0 = -n + 4*n + 3*x - 15, 3*x = 4*n - 13. What is the third derivative of -7*o**2 + 8*o**4 - 15*o**n + 10*o**4 wrt o?
72*o
Let f be 2 - ((-6)/(-3) + -3). Suppose -6 = -4*u + 2*z, 3*z - 2*z = 4*u - 11. Find the second derivative of -q - f*q**2 + 0*q + u*q - q wrt q.
-6
Let w(l) = -l**2 - 7*l - 4. Let q be w(-6). What is the second derivative of 5*r**2 - 2*r**q - 3*r + r**2 wrt r?
8
Let i(g) be the third derivative of 7*g**5/20 - g**3/3 - 19*g**2. What is the first derivative of i(b) wrt b?
42*b
Let r(m) be the third derivative of 1/20*m**5 + 2*m**2 - 1/60*m**6 + 0*m**3 + 0*m**4 + 0 + 0*m. What is the third derivative of r(f) wrt f?
-12
Let a(n) be the second derivative of -7*n**6/30 - n**4/6 - 5*n. What is the third derivative of a(b) wrt b?
-168*b
Let g(h) be the third derivative of h**6/40 + h**5/5 + 14*h**2. What is the third derivative of g(z) wrt z?
18
Differentiate -8*g - 12*g + 12 + 4 - 2*g with respect to g.
-22
Let i(b) be the second derivative of 3*b**5/4 - b**2 + 3*b. Find the first derivative of i(k) wrt k.
45*k**2
Let s(z) = z + 10. Let i be s(-8). What is the second derivative of -b - i*b + 7*b**3 - 3*b**3 + 0*b wrt b?
24*b
Let h(f) be the first derivative of -f**7/70 - f**5/10 + 3*f**2/2 + 9. Let j(q) be the second derivative of h(q). Find the third derivative of j(m) wrt m.
-72*m
Let u(h) be the third derivative of h**7/70 - 7*h**3/6 + 10*h**2. What is the derivative of u(l) wrt l?
12*l**3
Let g(f) = -17*f**3 + 12*f**2 + 6. Let s(z) = 16*z**3 - 11*z**2 - 5. Let p(b) = -5*g(b) - 6*s(b). Find the third derivative of p(o) wrt o.
-66
Let w(x) be the first derivative of 7*x**6/6 + 2*x**3/3 - 3. What is the third derivative of w(u) wrt u?
420*u**2
Suppose -12*n = -9*n - 9. Let l(t) be the first derivative of -t**2 - 1 + 0*t + 3/5*t**5 + 0*t**n + 0*t**4. What is the second derivative of l(j) wrt j?
36*j**2
What is the second derivative of -4*n**2 + n**2 + 7*n - 24*n - 13*n**2 wrt n?
-32
Let v(l) = l**2 + 4*l - 1. Let b be v(-5). Suppose -3 = f + s, b*f - 4*s - 18 = 5*f. Find the first derivative of 0*o**3 + f - 3 - o**3 wrt o.
-3*o**2
Let l be ((-1)/(-3) + 0)*9. Let y = 5 - l. What is the third derivative of -3*g**y + g**3 + 2*g**3 - 2*g**3 wrt g?
6
Let v(z) = 12*z**2 - 3*z - 5. Let f(a) = a**2 - a - 1. Let u(j) = 3*f(j) - v(j). What is the first derivative of u(i) wrt i?
-18*i
Let a(b) = b + 1. Let g(q) = -14*q + 35. Let n(p) = -3*a(p) - g(p). Differentiate n(m) with respect to m.
11
Let j(g) = 2*g**3 + 6*g**2 - g. Let c(o) = o**2 - o. Let r(p) = 6*c(p) - j(p). Find the second derivative of r(s) wrt s.
-12*s
Let d = 3 - 3. Suppose 0 = 5*x - d*x - 15. Find the first derivative of 82*f**3 - f**4 - 1 - 82*f**x wrt f.
-4*f**3
Let k(g) be the first derivative of 0*g**3 + 5/4*g**4 - 3 + 0*g**2 - 5*g. Find the first derivative of k(p) wrt p.
15*p**2
Let l be (-4)/8*-1*(-2)/(-3). Let t(p) be the first derivative of -3*p + l*p**3 - 2 + 0*p**2. What is the first derivative of t(n) wrt n?
2*n
Suppose 20 + 34 = -2*p. Let d be 2/9 - (-6)/p. Find the third derivative of -2*m**4 - 4*m**4 + 3*m**2 + 3*m**4 + d*m**4 wrt m.
-72*m
Let s = 7 - 5. Find the first derivative of -9*w**4 - s + 7*w**4 - 1 wrt w.
-8*w**3
Let r = -9 + 18. Let x = -5 + r. Find the third derivative of y**2 - 2*y**4 + 2*y**4 + 2*y**x wrt y.
48*y
Let i be -4*(-1 - 14/(-8)). Let j be (-9)/(-3)*(-3)/i. Find the second derivative of -3 + 3 - v**j + 6*v - 4*v wrt v.
-6*v
Let m(i) = i**3 + 6*i**2 + 3*i - 5. Let p be m(-5). Suppose -2*a = p*d + 11, -4*a + 3*d + 7 = -10. Differentiate 5 - 1 - 2 - 2*x**a with respect to x.
-4*x
Let z(k) be the first derivative of 7*k**6/2 + 17*k**3/3 + 18. Find the third derivative of z(l) wrt l.
1260*l**2
Suppose -4*w - p = -4*p - 337, p = 5. Find the third derivative of 5*m**6 - 3*m**2 + w*m - 88*m wrt m.
600*m**3
Let y(i) = -62*i**4 - 51*i**2 + 8*i. Let w(l) = -21*l**4 - 17*l**2 + 3*l. Let g(k) = -8*w(k) + 3*y(k). Find the third derivative of g(p) wrt p.
-432*p
Find the second derivative of 17*x**5 - 17*x + 4*x - 2*x**2 - 15*x**5 wrt x.
40*x**3 - 4
Find the third derivative of 2*s - 11*s**2 + 61*s**6 + 47*s**3 + 47*s**3 - 94*s**3 wrt s.
7320*s**3
Let f be (8/(-10))/(4/(-10)). Suppose 0 = 2*y + f*y - g - 8, 0 = -4*y - 5*g + 32. What is the third derivative of y*x**6 + 6*x**2 - 6*x**2 + 2*x**2 wrt x?
360*x**3
Let q be (-3)/(-6)*10 - 2. Suppose 0*m = 4*m + 3*w - 12, 4*m + 2*w = 12. Find the third derivative of 3 - v**3 - 2*v**q - m*v**2 - 3 wrt v.
-18
Let l(m) be the third derivative of 0*m + 0*m**4 - 1/15*m**5 + 1/12*m**6 + 8*m**2 + 0 + 0*m**3. What is the third derivative of l(o) wrt o?
60
Suppose -12 = -3*f - 2*f - 2*z, -5*f - 5*z = 0. Find the first derivative of 0*c**f - 2*c**4 - 4 + 1 + 0*c**4 wrt c.
-8*c**3
Let o(b) be the first derivative of -3*b**4/2 + 4*b**3/3 - 15. Find the third derivative of o(t) wrt t.
-36
Let m(o) be the second derivative of -19*o**6/30 - 11*o**2/2 - 18*o. What is the first derivative of m(p) wrt p?
-76*p**3
Let c(r) = r - 2. Suppose 0*y + y = 0. Suppose y = 3*w + 3. Let n(a) = a**2 + 1. Let z(p) = w*c(p) - 2*n(p). What is the second derivative of z(b) wrt b?
-4
Let k(u) be the second derivative of 0 - 1/6*u**4 + 1/15*u**6 + 0*u**2 + 0*u**3 + 0*u**5 + 4*u. Find the third derivative of k(y) wrt y.
48*y
Let k(v) be the second derivative of -v**7/42 + v**4/3 + 10*v. Find the third derivative of k(t) wrt t.
-60*t**2
Find the third derivative of 42*i**3 - 18*i**3 - 13*i**3 + 16*i**2 wrt i.
66
Let m(b) = 31*b**4 + 53*b**2 - 5. Let i(y) = -294*y**4 - 504*y**2 + 48. Let q(z) = 5*i(z) + 48*m(z). What is the third derivative of q(r) wrt r?
432*r
Let g(w) = w + 2. Let k(f) = 19*f**3 + 5*f + 53. Let i(v) = -5*g(v) + k(v). What is the first derivative of i(r) wrt r?
57*r**2
What is the third derivative of -71*k + 13*k**3 + 58*k**2 + 71*k wrt k?
78
Let f be 2/4 + (-186)/(-12). What is the second derivative of 3*o - f + 3*o**5 + 16 wrt o?
60*o**3
Let v(o) be the first derivative of 0*o**2 + 2*o**3 - 5 + 0*o**4 + 0*o + 0*o**6 + 5/7*o**7 + 0*o**5. Find the third derivative of v(r) wrt r.
600*r**3
Let j = -13 - -8. Let v(u) = u**3 + 6*u**2 + u. Let n(z) = 5*z**2 + z. Let l(t) = j*v(t) + 6*n(t). Find the second derivative of l(a) wrt a.
-30*a
Let r be -2*(4 - 7 - -2). Let f(z) be the first derivative of -2/3*z**3 + 3/2*z**2 + 0*z + r. Find the second derivative of f(x) wrt x.
-4
Let z(o) be the second derivative of 2*o**6/15 - 5*o**3/6 + 4*o. Find the second derivative of z(t) wrt t.
48*t**2
Let y be -1*2*15/(-6). Suppose -6 = 3*m - y*m. Fi