erivative of w(i) wrt i.
48*i
Let s be 3*(-8)/(-6) - 1. Find the second derivative of -4*m - m**2 + m**2 - s*m**3 wrt m.
-18*m
Let l(h) = h**2 - 4*h - 3. Let f be ((-2)/(-2))/(2/10). Let t be l(f). Differentiate v - 1 + t + 0 + 1 wrt v.
1
Let s be (-1)/3*(3 - 9). Suppose 0 = 2*w + s*w. What is the second derivative of w*z - z + 6*z**5 - 2*z**5 wrt z?
80*z**3
Let k(c) be the second derivative of -c**5/20 + 17*c**2 - 12*c + 2. What is the first derivative of k(m) wrt m?
-3*m**2
Let u = 42 + -21. What is the third derivative of -u*k**2 + k - 6*k**3 - k + 18*k**2 wrt k?
-36
Let c(k) be the second derivative of 17*k**6/15 + 2*k**2 - 32*k. Differentiate c(v) wrt v.
136*v**3
Suppose -5 = -4*n + 7. Let s(f) = f. Let p be s(4). What is the first derivative of -3 + o**3 + p - 4*o**3 + 5*o**n wrt o?
6*o**2
Let u = -3 - -15. Suppose 2*x + 4 = u. What is the first derivative of 3*l**x - 5*l**4 + 2 + 1 - l**4 wrt l?
-12*l**3
Let v(m) = m - 3. Let c(h) = 3*h - 9. Let z(y) = 4*c(y) - 14*v(y). Differentiate z(q) wrt q.
-2
Let o(s) = -11*s + 1. Let g(u) = 12*u - 1. Let q(d) = 4*g(d) + 5*o(d). Differentiate q(c) wrt c.
-7
Let s(d) be the third derivative of -d**4/3 - d**3/2 - 8*d**2. Differentiate s(m) with respect to m.
-8
Let p(j) = -j**3 + 7*j**2 - 6*j + 9. Let i be p(6). What is the third derivative of -10*v**2 - 6*v**2 + i*v**2 - 4*v**4 wrt v?
-96*v
Let x be 5 + (0 - 2) + 2. Suppose -x*t + 9 = -1. What is the third derivative of a**4 + 5 - 5 + a**t - 4*a**2 wrt a?
24*a
Let u(w) = 2*w - 11. Let n(o) = o + 1. Let l(q) = -4*n(q) + u(q). Let h be l(-10). Differentiate r - 2*r + h - 2 with respect to r.
-1
Suppose 3*k - 32 = -k. Let o(x) = x**3 - 9*x**2 + 9*x - 4. Let j be o(k). Find the second derivative of 0*r - j*r**4 + 2*r + 5*r**4 + r**4 wrt r.
24*r**2
Let c(h) be the first derivative of 1/2*h**4 + h**3 + 3 + 0*h**2 + 0*h. Find the third derivative of c(n) wrt n.
12
Let l(c) be the third derivative of 2*c**7/105 - 4*c**3/3 + 6*c**2. Differentiate l(j) wrt j.
16*j**3
Let k(q) = -q**2 - 8*q + 5. Let g be k(-9). Let f(w) = -2*w - 7. Let m(u) = 3*u + 13. Let c(s) = g*m(s) - 7*f(s). Find the first derivative of c(x) wrt x.
2
Let m(x) = -2*x**2 - 6*x + 7. Let i(b) = 5*b - 6 + 7*b**2 + 3*b**2 - 9*b**2. Let y(a) = 6*i(a) + 5*m(a). What is the derivative of y(r) wrt r?
-8*r
Let x(y) be the first derivative of -y**5/4 + y**3/6 + y + 4. Let c(g) be the first derivative of x(g). What is the second derivative of c(z) wrt z?
-30*z
Let q(x) = 50*x - 71. Let r(d) = 76*d - 107. Let j(s) = 7*q(s) - 5*r(s). Find the first derivative of j(i) wrt i.
-30
Let q(l) = -l**4 + l**3 - l**2 - 1. Let j(b) = 4*b**5 + 6*b**4 - 6*b**3 - 4*b**2 + 6. Let c(i) = -j(i) - 6*q(i). Find the third derivative of c(s) wrt s.
-240*s**2
What is the second derivative of -3*c**2 - 10*c**2 + 0*c**2 - 13*c**2 + 27*c wrt c?
-52
Let k(o) = o**3 + 5 + o - 6*o + 2*o**2 + o**2. Let b(f) = f**2 - 2*f + 2. Let j(v) = 5*b(v) - 2*k(v). What is the third derivative of j(d) wrt d?
-12
Let n(i) be the first derivative of 7*i**6/6 + 34*i**3/3 - 70. Find the third derivative of n(q) wrt q.
420*q**2
Let h(o) = -16*o**2 - 5. Let t(d) = d**2. Let f(a) = h(a) + 3*t(a). Differentiate f(c) with respect to c.
-26*c
Let z(d) = -6*d**3 - 4*d**2 + 11. Let w(y) = 5*y**3 + 5*y**2 - 10. Let a(i) = -4*w(i) - 5*z(i). Differentiate a(r) wrt r.
30*r**2
Suppose 0 = d + d. Suppose 2*k - 2 = 5*r - r, -4*k - 5*r + 30 = d. What is the second derivative of k*t - 9*t - t**4 - 2*t**4 wrt t?
-36*t**2
Let x(o) be the second derivative of -4/15*o**6 + 0*o**2 + 5/12*o**4 + 0*o**5 + 0*o**3 + 3*o + 0. Find the third derivative of x(q) wrt q.
-192*q
Let p be (-6)/4*(-3 - 1). Suppose 3*x - p = 3. Find the third derivative of 0*m**6 - 2*m**6 + x*m**2 + m**6 - 3*m**6 wrt m.
-480*m**3
Let m = 3 + -3. What is the third derivative of 0*r**2 + m*r**2 + 2*r**2 - 2*r**6 + 4*r**6 wrt r?
240*r**3
Let o(p) be the second derivative of -1/4*p**4 + 0*p**3 + p + 0 - 2*p**2. What is the derivative of o(q) wrt q?
-6*q
Let v(x) = -7*x + 2. Let a(q) = 13*q - 5. Let n(r) = 4*a(r) + 7*v(r). Let w be n(4). Find the first derivative of o**3 - 4 + w*o**2 - 6*o**2 wrt o.
3*o**2
Let x = -3 - -3. Let p = x + 5. What is the derivative of -w**2 + p - 1 - 5 wrt w?
-2*w
Let u(i) be the second derivative of -5*i**4/6 + i**3/6 + 10*i**2 - i + 6. What is the derivative of u(k) wrt k?
-20*k + 1
Suppose g + g - 6 = 0. Find the second derivative of g*u - u + 0*u**3 - u**3 - 5*u wrt u.
-6*u
Let c(p) = p**5 + p**4 + p**3 - p - 1. Let b(h) = 24*h**5 + 16*h**4 + 16*h**3 - 12*h - 16. Let g(x) = b(x) - 16*c(x). Find the second derivative of g(q) wrt q.
160*q**3
What is the first derivative of 69 + 224*s - 53*s**2 - 224*s wrt s?
-106*s
What is the second derivative of -2*d + 7*d**5 + 8*d**5 - 16*d**5 + 7*d**5 wrt d?
120*d**3
What is the third derivative of -13*i**4 - 17*i**4 - 75*i**2 + 49*i**2 + 75*i**2 wrt i?
-720*i
Let x(l) be the second derivative of -l**6/6 + 7*l**4/12 - 6*l. Find the third derivative of x(r) wrt r.
-120*r
Let z(o) = 3*o - 3. Let c be z(3). Suppose 3*f - 5*y - c - 4 = 0, y = 2*f - 2. Differentiate -1 + x + f - 2 + 7 wrt x.
1
Find the first derivative of -2*k**4 + 1 - 8 - 3*k**4 wrt k.
-20*k**3
Let g = -11 - -5. Let l(n) = -3*n**2 - 3. Let p(q) = -1 + 4 + 2 + 5*q**2. Let v(y) = g*p(y) - 11*l(y). What is the derivative of v(i) wrt i?
6*i
Let x = 12 + 0. Suppose -4*p + 2*r - 6*r = x, -2*p + 2*r = -14. Find the third derivative of 3*u**3 - 4*u**5 + u**p + u**5 - 3*u**3 wrt u.
-180*u**2
Let q(y) = y**3 - y**2 + 1. Let a be q(2). Find the second derivative of -2*r**5 - r + 4*r + 0*r + 8*r**a wrt r.
120*r**3
Let y(d) be the third derivative of d**8/336 - d**4/6 - 2*d**2. Find the second derivative of y(t) wrt t.
20*t**3
Suppose 0 = 3*x - 12 - 0. Let d(c) be the first derivative of 0*c**2 + 0*c - 2 + 2/3*c**3 - 1/4*c**x. What is the third derivative of d(j) wrt j?
-6
Let u = -2 - 3. Let f be ((-2)/(-5))/((-1)/u). Find the third derivative of -3*q**5 + q**2 + 5*q**5 - f*q**2 wrt q.
120*q**2
Find the second derivative of 29*g - 2 + 2 - 18*g**3 - 11*g wrt g.
-108*g
Let o(b) = -12*b**3 - 6*b**2 + 18*b - 6. Let j(r) = 23*r**3 + 11*r**2 - 36*r + 11. Let m(v) = 6*j(v) + 11*o(v). Find the second derivative of m(y) wrt y.
36*y
Let z(y) = -y**3 + 5*y**2 + 2*y - 1. Let h be z(5). Find the third derivative of -3*f**4 + 0*f**4 + h*f**2 + f**4 wrt f.
-48*f
Suppose -7*l = -5*l. Let j(i) be the first derivative of 0*i**3 - 2 - i + l*i**2 + 0*i**4 + 2/5*i**5. Differentiate j(r) with respect to r.
8*r**3
Let g(n) be the third derivative of 2*n**7/105 + n**3/2 - n**2. Differentiate g(a) wrt a.
16*a**3
Suppose -4*r + q - 9 = 16, 0 = 2*r + q + 5. Let p(y) = -y**2 - 4*y + 5. Let n be p(r). What is the derivative of n + 0*j**4 - j**4 - 2 + 0*j**4 wrt j?
-4*j**3
Let t(a) be the third derivative of 2*a**2 + 0*a**3 + 0 + 0*a**5 - 1/20*a**6 - 1/6*a**4 + 0*a. What is the second derivative of t(j) wrt j?
-36*j
Let t(p) = -2*p**2 + 3 - 1 + 0 + 6*p + p**2. Let j be t(6). Find the first derivative of -l + 1 + j - 2 wrt l.
-1
Let q(a) be the first derivative of 7*a**4/2 + 29*a**3/3 - 3. Find the third derivative of q(t) wrt t.
84
Let j(x) be the third derivative of x**7/15 + 7*x**4/24 + 10*x**2. Find the second derivative of j(z) wrt z.
168*z**2
Suppose -45 = -4*j - 4*q - q, j - 3*q = -10. Let t be -1*(-18)/(-2 + j). Differentiate -2*c**4 - t*c**2 - 2 + 6*c**2 wrt c.
-8*c**3
Find the second derivative of -66 + 21*m**2 + 60 + 7*m + 34*m**2 wrt m.
110
Let m(d) be the third derivative of d**7/840 - d**5/60 + d**4/8 - d**2. Let a(w) be the second derivative of m(w). What is the derivative of a(s) wrt s?
6*s
Let k(z) be the first derivative of 26*z**5/5 + z**3/3 - 12*z**2 - 43. Find the second derivative of k(f) wrt f.
312*f**2 + 2
Let k(p) = -2*p. Let m be k(-2). Suppose 3*f = -m*u + 6*f - 3, -4*u = 4*f - 32. What is the second derivative of g - u*g**2 + 2*g**2 - 2*g + 3*g**2 wrt g?
4
Let z(i) be the third derivative of 13*i**4/24 + 5*i**3/3 - i**2. Differentiate z(g) with respect to g.
13
Suppose o - 6 = -0*o. Differentiate 3*r + o - 3 - 1 wrt r.
3
Let l(h) = 4*h**4 + h**3 - h**2 + h + 1. Let y(z) = z**4 - z**3 - z**2 - z - 1. Let b(x) = l(x) + y(x). What is the third derivative of b(u) wrt u?
120*u
Let m(k) b