 4*w. Find the third derivative of 328 + 12*u**4 + 14*u**w - 328 - 3*u**4 wrt u.
216*u
Let j(g) = -8*g**3 + 6. Let c(p) be the first derivative of 39*p**4/4 - 29*p + 1. Let b(r) = 2*c(r) + 11*j(r). Find the first derivative of b(y) wrt y.
-30*y**2
Let n(r) = r**3 + 4*r**2 - 5*r + 4. Let v be n(-5). Let j(x) = -2*x + 1. Let k be j(-1). Find the second derivative of 3*w**4 - w**v - w**4 - k*w + w**4 wrt w.
24*w**2
Let v(b) = b**2 - 2. Let i be v(2). What is the third derivative of i*q**2 + 0*q**3 + 6*q**3 + q**3 wrt q?
42
Find the second derivative of -41*k - 85*k + 2*k - 26*k + 8*k**2 + 9*k**2 - 10*k**3 wrt k.
-60*k + 34
Let t be 7/(105/12)*5. What is the second derivative of -8*x + x + 11*x - 2*x**4 - 3*x**t wrt x?
-60*x**2
Suppose -8*w + 3*w - 3*y + 8 = 0, 4*y = w - 20. Find the second derivative of -5*l**4 - 6*l**4 - 30*l - 20*l**4 - 8*l**w wrt l.
-468*l**2
Let j = 19 - 15. Let n(b) = -5*b**4 - 4*b**3 - 5*b**2 + 4. Let h(m) = -m**3 - m**2 + 1. Let q(p) = j*h(p) - n(p). What is the third derivative of q(f) wrt f?
120*f
Let m(b) = -2*b**3 - b + 1. Let i(y) = y**4 - 4*y**3 + 7*y**2 + y + 2. Let x(t) = -i(t) - m(t). What is the third derivative of x(u) wrt u?
-24*u + 36
Let f(j) be the third derivative of -11*j**6/20 - 157*j**5/60 - j**2 - 2*j. What is the third derivative of f(l) wrt l?
-396
What is the second derivative of 7*t**4 + 14 - 3*t**4 + 67*t + 2*t**3 - 14 + 5*t**3 wrt t?
48*t**2 + 42*t
Let i(h) be the second derivative of -17*h**4/3 + 51*h**2 + 2*h - 26. Differentiate i(l) with respect to l.
-136*l
Find the third derivative of -111*j**2 + j**4 + j**5 - 97*j**2 + 0*j**4 + 74*j**2 - 3*j**5 wrt j.
-120*j**2 + 24*j
Differentiate 701 + 3 + 256*y**2 + 237*y**2 + 42*y**2 wrt y.
1070*y
Let y(u) be the first derivative of -2*u**5/5 + 19*u**4/4 + 2*u**3/3 - 385*u**2/2 + 131. What is the third derivative of y(c) wrt c?
-48*c + 114
Let y(t) = -107*t**3 - 118*t**2 - 3*t - 3. Let w(g) = 106*g**3 + 117*g**2 + 2*g + 2. Let u(o) = 3*w(o) + 2*y(o). Find the third derivative of u(m) wrt m.
624
Let c(m) = -2*m + 6. Let t(i) = i - 4. Let z(u) = 2*c(u) + 3*t(u). Let q(y) = 36*y + 37. Let s(x) = -q(x) + 2*z(x). Differentiate s(n) with respect to n.
-38
Find the second derivative of 226*r**4 + 42*r - 19*r - 14*r + 13*r wrt r.
2712*r**2
What is the second derivative of -75 + 72*t**2 + 4*t + 25 + 31 wrt t?
144
Let r(l) = 62*l**2 - 4*l - 580. Let b(m) = 61*m**2 - 4*m - 581. Let d(x) = -4*b(x) + 5*r(x). Differentiate d(f) with respect to f.
132*f - 4
What is the derivative of 111*a + 124*a - 176*a - 32 wrt a?
59
Let i = -99 + 101. Suppose w - 3*w = 4*n - 6, n = 2*w - 16. Find the first derivative of -2*c**2 - 9 + i*c**2 + w + c**4 wrt c.
4*c**3
Let f(h) be the second derivative of 61*h**4/6 - 2*h**3/3 + h**2/2 + 126*h. What is the second derivative of f(a) wrt a?
244
Let o(k) = -206*k**2 - 8*k - 13. Let b(d) = 412*d**2 + 14*d + 24. Let v(a) = -3*b(a) - 5*o(a). Find the second derivative of v(q) wrt q.
-412
Let i(h) = h + 1. Let g be i(-5). Let z be (-15)/g + 1/4. What is the second derivative of 0 + 30*t**2 - 32*t**2 + 0 - z*t wrt t?
-4
Suppose 9*m = 6*m. Suppose 3*f + 21 = -m*f. Let j(d) = -d - 8. Let l(k) = -4. Let o(y) = f*l(y) + 4*j(y). What is the derivative of o(i) wrt i?
-4
Let o(q) be the second derivative of 1/3*q**3 - 22 + 16*q**2 + 2*q + 13/4*q**4. What is the second derivative of o(v) wrt v?
78
Suppose 0 = 8*t - 5*t - 6. Find the second derivative of 16*s + 0*s**2 - s**t - 15*s wrt s.
-2
What is the second derivative of -30*u**2 - 11*u - 123*u - 5*u**2 - 13*u**2 wrt u?
-96
Suppose 20 = -42*z + 20. Let s(o) be the first derivative of 0*o + z*o**4 - 4/5*o**5 + 0*o**3 - 8 - 11/2*o**2. What is the second derivative of s(g) wrt g?
-48*g**2
Let k(m) be the second derivative of 2*m**4/3 + 155*m**2/2 + 55*m - 2. Differentiate k(o) with respect to o.
16*o
Let g be (-1)/(18/(-4) + 4). What is the second derivative of j + 2*j**2 - 6*j + j**g + j wrt j?
6
Let m(q) be the second derivative of 199*q**6/15 - 491*q**2/2 + 539*q. Differentiate m(o) with respect to o.
1592*o**3
Let s(x) be the second derivative of 0*x**2 + 0*x**4 + 17/20*x**5 - 5*x - 13/6*x**3 + 0. Find the second derivative of s(f) wrt f.
102*f
Suppose 6*l = 5*l + 4. Suppose l*b + 3 = 11. Find the first derivative of 0 + 4 + 2 + 6*u - b wrt u.
6
What is the second derivative of 12*y**3 - 1 - 9*y + 7*y - y**5 + y wrt y?
-20*y**3 + 72*y
Let x(j) = -15*j**2 + 122*j - 451. Let t(a) = -3*a**2 + 30*a - 113. Let s(c) = 9*t(c) - 2*x(c). What is the derivative of s(i) wrt i?
6*i + 26
Suppose 0 = -n - 0*n. Let l(d) be the third derivative of 1/15*d**5 + 0*d**4 + 1/40*d**6 + 0*d**3 + 4*d**2 + n + 0*d. Find the third derivative of l(x) wrt x.
18
Let m(t) = t**2 - 1. Let u(d) = -5*d**4 - 4*d**3 + 6*d**2 + 3. Let j(p) = -3*m(p) - u(p). What is the third derivative of j(b) wrt b?
120*b + 24
Let h(x) be the second derivative of 267*x**8/56 - 65*x**4/4 - 224*x. Find the third derivative of h(i) wrt i.
32040*i**3
Suppose y + 32 = r + 3*r, 2*r - 16 = 5*y. Find the second derivative of -5*f**5 + 6*f**5 + r*f - 3*f wrt f.
20*f**3
Let i(q) = -29*q**4 + 5*q**3 - 1. Suppose 0 = -5*g + 16 - 6. Let j(w) = 14*w**4 - 2*w**3 + 1. Let o(c) = g*i(c) + 5*j(c). Differentiate o(k) wrt k.
48*k**3
Let d = -5 - -7. What is the second derivative of -x**2 + 2*x**2 - 7*x**d - x - 5*x wrt x?
-12
Suppose 4 = k - 5. What is the second derivative of k*y + 27*y**5 - 11*y**5 + 10*y wrt y?
320*y**3
Let b(y) be the first derivative of -445*y**7/7 + 14*y**3/3 - 3*y**2/2 + 323. Find the third derivative of b(n) wrt n.
-53400*n**3
Suppose 4*l - 18 = -2. Let r(c) = c**2 + 8*c - 10. Let a be r(-10). What is the derivative of a*p**4 - 41 + 39 - l*p**4 wrt p?
24*p**3
What is the first derivative of 57 - i - 3*i**4 + 15 + 8 - 6*i wrt i?
-12*i**3 - 7
Let n(h) be the third derivative of -h**7/315 - 37*h**6/720 + h**5/5 - 2*h**2. Let o(c) be the third derivative of n(c). Differentiate o(l) with respect to l.
-16
Let v(i) be the first derivative of -13 + 184*i - 3*i**4 + 16*i**2 - 184*i. What is the second derivative of v(x) wrt x?
-72*x
Let s(a) = -2*a**3 - a**2 + 3*a + 154. Let z(r) = -5*r**3 - 3*r**2 + 7*r + 310. Let n(w) = 7*s(w) - 3*z(w). What is the derivative of n(m) wrt m?
3*m**2 + 4*m
What is the second derivative of 86*j + 2 + 140*j**5 - 116*j**5 - 2 wrt j?
480*j**3
Let y(x) = -873*x**2 + 12*x - 533. Let d(z) = 2620*z**2 - 34*z + 1599. Let c(t) = 6*d(t) + 17*y(t). Find the first derivative of c(q) wrt q.
1758*q
Let l(p) be the second derivative of p**8/480 - p**5/60 - 7*p**4/6 - 13*p. Let r(a) be the third derivative of l(a). Find the first derivative of r(v) wrt v.
42*v**2
Suppose 35 = -4*w + 55. What is the second derivative of -3*q - 5*q - w*q**5 + q + q wrt q?
-100*q**3
Differentiate -256 + 44*h**2 - 288 - 181*h**2 + 883 - 285 with respect to h.
-274*h
Suppose 15 = z + 2*z. Suppose 0 = 3*j - 16 - 2. What is the third derivative of -5*v**5 - 3*v**6 + z*v**5 + 3*v**2 - v**j wrt v?
-480*v**3
Let u(n) be the second derivative of -n**8/2240 - n**7/72 - 3*n**4 - 26*n. Let t(d) be the third derivative of u(d). What is the third derivative of t(l) wrt l?
-18
Let g(n) be the first derivative of -3*n**5/5 - 29*n**4/4 - n**2/2 - 198*n + 65. Find the second derivative of g(v) wrt v.
-36*v**2 - 174*v
Let v = -11 - -7. Let m(z) = -3*z**2 - z - 4. Let g(h) = 7 - 4 + h + 3*h**2 - h**2. Let f(t) = v*g(t) - 3*m(t). What is the second derivative of f(k) wrt k?
2
Suppose -h = -5*l + 50, 0*h + 3*h + 50 = 5*l. Find the third derivative of -l*d**2 - 5*d - 75*d**4 + 81*d**4 + 5*d wrt d.
144*d
Let v(b) be the second derivative of 0*b**3 + 0 + 20*b**2 - 49/20*b**5 + 0*b**4 - 3*b. Differentiate v(j) wrt j.
-147*j**2
Suppose -2*v = -2*k - 50, 0 = -3*k - k + v - 97. Let h = k + 28. Find the third derivative of 0*l**2 + 2*l**4 + 2*l**4 + 0*l**h + 8*l**2 wrt l.
96*l
Let p(d) = 8*d**4 + 26*d**3 + 130*d + 5. Let x(h) = -h**4 - h**3 - 1. Let z(b) = -p(b) - 5*x(b). What is the second derivative of z(f) wrt f?
-36*f**2 - 126*f
Suppose -2*p = -x + 1 + 10, 5*x + 5*p = -5. What is the second derivative of -6*h - 12*h**x + 9*h + 11*h wrt h?
-72*h
Let c(o) be the first derivative of -24*o**5 + 106*o**3/3 + 3. What is the third derivative of c(m) wrt m?
-2880*m
Let d(i) = 2*i - 6. 