-4*w + 13. Differentiate 5*t**2 - 3*t**w + 1 - t**2 with respect to t.
2*t
Suppose -4*j + 0*j - 12 = 0. Let r = 7 + j. Find the second derivative of 3*w + 7*w**5 + 1 - r*w**5 - 1 wrt w.
60*w**3
Let d(a) = 5*a**3 - 3*a - 2. Let u(n) = -5*n**3 + 3*n + 3. Let h(i) = 3*d(i) + 2*u(i). What is the second derivative of h(p) wrt p?
30*p
Let p(n) = n + 5. Let g be p(-3). Suppose 4*d = -12, b - 3*d - 13 = -0*b. Find the first derivative of -1 + 6*k**4 - k**4 - g*k**b wrt k.
12*k**3
Let c(n) be the first derivative of 0*n + 0*n**6 + 1/7*n**7 + 2 + 0*n**5 + 0*n**2 - n**3 + 0*n**4. Find the third derivative of c(y) wrt y.
120*y**3
Let w(x) be the third derivative of 1/2*x**3 + 0 + 0*x - 1/15*x**5 + 0*x**4 + 4*x**2. Differentiate w(c) with respect to c.
-8*c
Suppose 2*p - p = -5*j + 11, j - 5*p + 3 = 0. Let o = j - 0. Find the first derivative of -1 + o + q**2 - 3 wrt q.
2*q
Let c(v) = -3*v**4 - v + 5*v**3 + 5*v + 4*v**4. Let t(p) = p**4 + 3*p**3 + 2*p. Let m(u) = 3*c(u) - 5*t(u). Find the second derivative of m(g) wrt g.
-24*g**2
Suppose 2*f + 3*f = -s + 13, 3*f = -s + 7. What is the third derivative of -4*b**3 + 0*b**3 - 2*b**f + b**2 wrt b?
-36
Let b(g) = g**4 - g**2 - 1. Let h(i) = 3*i**4 - 10*i**2 - 5. Let u(l) = -15*b(l) + 3*h(l). What is the third derivative of u(f) wrt f?
-144*f
Let u(z) = -z**4 + z**2 - 1. Let w(b) = -7*b**5 - b**4 + b**2 - 6*b - 1. Let d(f) = -u(f) + w(f). Find the second derivative of d(y) wrt y.
-140*y**3
Let m(z) = 17*z - 4. Let d(k) = -5*k + 2 + 0 - 3*k. Let q(w) = -13*d(w) - 6*m(w). Differentiate q(s) wrt s.
2
Let f(i) be the first derivative of 5*i**7/7 - 7*i**3/3 - 1. What is the third derivative of f(w) wrt w?
600*w**3
Let y = -3 + 6. Suppose 4 = y*o - 8. Find the second derivative of -2*t - t**o + 3 - 3 wrt t.
-12*t**2
Let m(k) be the first derivative of k**6/90 + k**5/24 + 7*k**3/3 + 3. Let x(a) be the third derivative of m(a). Find the second derivative of x(s) wrt s.
8
Let n(d) = -3*d - 9. Let j(w) = w + 4. Let r be 4*4*4/32. Let g(o) = r*n(o) + 5*j(o). What is the derivative of g(b) wrt b?
-1
Let k(i) = i**4 + i**3 + 1. Let m(x) = -2*x**5 + x**4 + x**3 + 3*x + 1. Let p(d) = -3*k(d) + 3*m(d). What is the second derivative of p(h) wrt h?
-120*h**3
What is the second derivative of 9*f - 136 + 138 + 21*f**2 + 31*f**2 wrt f?
104
Let o(v) = -v**3 + 7*v + 13. Let d(x) = -x**3 + 3*x + 6. Let s(g) = 13*d(g) - 6*o(g). Find the second derivative of s(m) wrt m.
-42*m
Let o(d) be the third derivative of -1/3*d**3 + 0 + 0*d - 3*d**2 + 1/12*d**4. Find the first derivative of o(u) wrt u.
2
Let u(g) be the first derivative of 3*g**5/20 - g**3/6 + 2*g + 4. Let s(p) be the first derivative of u(p). What is the second derivative of s(r) wrt r?
18*r
Let u(j) be the second derivative of -2*j**2 - 1/12*j**4 + 0 + 3*j + 0*j**3. What is the derivative of u(m) wrt m?
-2*m
Let i(l) = l**3 - 6*l**2 - 17*l + 10. Let v be i(8). Let d(g) be the first derivative of -3/2*g**v - 3 + g. Differentiate d(m) with respect to m.
-3
Let v(a) be the third derivative of 0*a**3 + 0*a**6 + 0 - 1/112*a**8 + 1/24*a**4 + 0*a**7 + 0*a**5 + 0*a + 2*a**2. What is the second derivative of v(s) wrt s?
-60*s**3
Let c(n) = 2*n**5 + 0*n**5 - 3*n**5. Let d = -10 + 6. Let i(l) = 3*l**5 + 4*l**2. Let k(h) = d*c(h) - i(h). What is the third derivative of k(p) wrt p?
60*p**2
Let w(a) be the third derivative of -a**8/240 - a**6/45 + 3*a**3/2 + 6*a**2. Let d(x) be the first derivative of w(x). Find the third derivative of d(u) wrt u.
-168*u
Suppose -6 = -3*z - 4*c + 19, 0 = -4*z - 3*c + 24. Differentiate -i**2 - 3*i + 2 + z*i wrt i.
-2*i
Let u(f) = -f**4 + 3*f + 6. Let r(q) = -2*q**4 + 2*q + 5. Let h be (6/3 - 3)*2. Let a(x) = h*u(x) + 3*r(x). What is the first derivative of a(b) wrt b?
-16*b**3
Find the third derivative of -12*o**4 + 4*o**4 + 3*o**4 + 2*o**2 - 3*o**2 wrt o.
-120*o
Let l(f) be the first derivative of 2*f**3 + 7*f**2/2 - 15. Find the second derivative of l(a) wrt a.
12
What is the first derivative of 21 - 2*g**3 - 18 + 32 + 7*g**3 wrt g?
15*g**2
Let z(m) be the second derivative of m**5/60 + m**4/4 - 5*m**2/2 + m. Let l(h) be the first derivative of z(h). Find the second derivative of l(y) wrt y.
2
What is the second derivative of 5*s**4 + 16*s - 18*s - 7*s wrt s?
60*s**2
Suppose -x + j = 2 - 17, -3*x + 5*j = -53. What is the first derivative of 2*g**3 + 5*g**3 - 2*g**3 - x + 12 wrt g?
15*g**2
Let v(n) be the second derivative of 2*n + 0*n**6 + 0 + 1/12*n**4 + 0*n**3 + 0*n**2 + 0*n**5 - 5/42*n**7. What is the third derivative of v(t) wrt t?
-300*t**2
Let u(r) = -r + 11. Let i be u(6). Let c = 6 - 4. Find the second derivative of -c*g**i - 3*g - g + 2*g wrt g.
-40*g**3
Let k be 5*(2/2)/1. What is the derivative of 2*b**3 - 3 + 4 - k*b**3 wrt b?
-9*b**2
Let x = 1 + 1. Let f(y) = -x*y - 4 + 1 + 4 - y. Let j(t) = 30*t - 9. Let l(d) = 21*f(d) + 2*j(d). Find the first derivative of l(w) wrt w.
-3
Find the second derivative of 2*z**5 + 2*z**5 - 70 - 5*z**2 - 2*z - z + 69 wrt z.
80*z**3 - 10
Let l(f) = f**2 + 9. Let v(q) = -3*q**2 - 26. Let x(r) = -11*l(r) - 4*v(r). What is the derivative of x(u) wrt u?
2*u
Let k = -14 + 16. Find the third derivative of -15*z**5 + 13*z**5 + k*z**2 - 9*z**2 wrt z.
-120*z**2
Suppose 3*h - 8*h = 0. Suppose 2*v - v - 9 = h. Find the third derivative of -9*o + v*o + o**2 + o**5 wrt o.
60*o**2
Let m(i) be the second derivative of i**5/20 - i**2/2 - 7*i. Find the first derivative of m(v) wrt v.
3*v**2
Let a(w) be the second derivative of w**7/42 + w**4/6 + 5*w**2/2 + 5*w. Let x(i) be the first derivative of a(i). Find the second derivative of x(y) wrt y.
60*y**2
Suppose 4*f - 4*a = -4, 2*a - 5 + 3 = f. What is the third derivative of -12*n**2 + f*n**4 + 13*n**2 - n**4 wrt n?
-24*n
What is the third derivative of 3*b**2 - 7*b**2 + 6*b**3 - 2*b**2 - b**2 wrt b?
36
Let p(i) = i**3 + 8*i**2 + 9. Let x be p(-8). What is the second derivative of -84*l**3 - 9*l**4 + x*l - l + 84*l**3 wrt l?
-108*l**2
Let u(k) = k**3 - 6*k**2 - k + 8. Let c be u(6). What is the second derivative of 3*y + 1 + 3*y**4 - c + 1 wrt y?
36*y**2
Let r be 2/(-7) - 64/(-28). Suppose -2*d + 8 = r*d. What is the second derivative of 0*z**d + 0*z**2 + z**2 - 2*z wrt z?
2
Let w(h) be the third derivative of h**8/21 + 11*h**4/12 - 13*h**2. Find the second derivative of w(q) wrt q.
320*q**3
Suppose 5 = c + 3. Suppose 0 = -5*k + 17 - c. Find the second derivative of 6*i**3 - 4*i**3 - 4*i**3 + k*i wrt i.
-12*i
Let h(o) = o. Let g be h(3). Find the third derivative of -c**6 + c**4 - 5*c**2 - g*c**6 - c**4 wrt c.
-480*c**3
Let z(s) = -s**2 + 8*s - 6. Let f be z(7). Suppose 2*i - f = 3. Find the second derivative of 0*m + 2*m + 2*m**2 - m**i wrt m.
2
Let p(d) be the third derivative of 11*d**4/12 + 13*d**3/3 + 9*d**2. Differentiate p(f) wrt f.
22
Let k be 6 - 2 - (2 - 1). Let i(q) = 5*q - 21. Let y be i(5). What is the derivative of -4*p**k - y*p**3 + 6*p**3 + 3 wrt p?
-6*p**2
Let p be 2 + 1 - (-2 + 2). Suppose 2*n + 2*c - 14 = -3*n, p*c - 6 = 0. What is the third derivative of 4*k**5 + k**n + 3*k**2 + 0*k**2 - 5*k**2 wrt k?
240*k**2
Differentiate -5 - 2*n + 4*n - n wrt n.
1
Let n be (-14)/(-3) - 1/(-3). Suppose 5*g + 7 = -3*u, 2*u - 1 = -3*u - 2*g. What is the first derivative of n*z**3 - 4*z**3 + u + 2*z**3 wrt z?
9*z**2
Let d = 5 - 1. Suppose -3*b = -d*h + 20, -2*b = 3*h - h - 10. Find the second derivative of b*j**5 + 3*j - j - j**5 wrt j.
-20*j**3
Let u(r) be the second derivative of r**4/12 - 4*r**3 + 43*r**2/2 + 44*r. Find the first derivative of u(y) wrt y.
2*y - 24
Let c(g) = 2*g - 9. Let s be c(6). What is the third derivative of -s*j**2 + j**2 + 2*j**2 - 2*j**6 + 2*j**2 wrt j?
-240*j**3
What is the third derivative of -14*f**6 + 4*f**6 + 5*f**2 + 2*f**2 wrt f?
-1200*f**3
Let w be 55/15 + (-2)/3. Find the second derivative of 46*m**3 - 6*m - 41*m**w + m wrt m.
30*m
Let j(d) be the first derivative of 19*d**3/3 + 2*d**2 - 10. What is the second derivative of j(k) wrt k?
38
Differentiate 21 - 13*c**2 - 1 - 3 with respect to c.
-26*c
Let a(r) = 27*r**3 - 5*r - 3. Let t(i) = -53*i**3 + 11*i + 5. Let q(z) = -13*a(z) - 6*t(z). Differentiate q(b) with respect to b.
-99*b**2 - 1
Let h(r) = 5*r + 79*r**2 - r + 3*r**4 - 75*r**2. Let j(b) = 9*b**4 + 11*b**2 + 11*b - 1. Let a = -9 - -5. 