n) + w(n). What is the second derivative of t(s) wrt s?
-100*s**3
Let d be -6*(-4)/(-18)*3. Let f = -4 - d. Find the third derivative of -2*t**4 - 3*t**2 + 0 + f*t**4 + 0 wrt t.
-48*t
What is the third derivative of -65*u**2 + 55*u**5 + 4*u**3 - 4*u**3 + 21*u**2 wrt u?
3300*u**2
Let n(q) = -q**3 + 5*q**2 + 5*q + 8. Let p be n(6). Suppose -4*u = -5*h + 27, p*h + u - 5 = -2. What is the first derivative of h*y + 3 - 5*y + 4*y wrt y?
2
Let p(z) = 15*z**4 + 4*z**3 - 4*z - 17. Let h(c) = c**4 + c**3 - c - 1. Let u(s) = 4*h(s) - p(s). What is the derivative of u(x) wrt x?
-44*x**3
What is the second derivative of -59*d**5 + 13*d + 2*d + 42*d**5 wrt d?
-340*d**3
Suppose 5*n = 2*x - 20 + 4, -x + 18 = -5*n. Let o = 5 + x. Find the second derivative of 2*t**o + 2*t + t**3 - 2*t**3 wrt t.
6*t
Let o(j) be the second derivative of 17*j**7/42 + j**4/12 + 27*j. Find the third derivative of o(c) wrt c.
1020*c**2
Let k(p) be the second derivative of 0*p**6 + 0*p**5 + 0 + 1/2*p**3 + 0*p**2 + 0*p**4 - 1/14*p**7 + 3*p. Find the second derivative of k(a) wrt a.
-60*a**3
Let t(f) = f**3 + 2. Let i = -2 - -1. Let a(p) = 0*p**3 - 2*p**3 + p**3. Let h(u) = i*t(u) - 3*a(u). Differentiate h(m) wrt m.
6*m**2
Let b be 3/(-3) + 1 - 5. Let w be (6/b)/((-6)/15). Find the first derivative of 3*y - 1 - 4*y + w wrt y.
-1
What is the second derivative of -13*w**2 + 13*w**2 - 3*w - 17*w**2 wrt w?
-34
Let w(j) be the second derivative of -j**7/6 - j**3 + 2*j. What is the second derivative of w(h) wrt h?
-140*h**3
What is the derivative of -4 - 9*c**2 + 3 + 14*c**2 wrt c?
10*c
What is the third derivative of 0*p**2 - 4*p**2 - 12*p**2 - p**2 + 2*p**3 wrt p?
12
Let y be (-2 - -3) + 3 + -2. What is the second derivative of -q + 2*q**2 - 4*q**y + 2*q + 9*q**2 wrt q?
14
Let u(m) be the third derivative of -5*m**9/504 - m**5/60 - 5*m**2. Find the third derivative of u(v) wrt v.
-600*v**3
Suppose 0 = 4*f - 31 + 11. Suppose -f*w + 4 = -11. What is the first derivative of 4 + w*z**2 + z**2 - 3 wrt z?
8*z
Let g(q) be the second derivative of 0*q**2 + 0 - 1/6*q**3 + 0*q**5 + 9*q - 1/10*q**6 + 0*q**4. What is the second derivative of g(y) wrt y?
-36*y**2
Let v be -3 + 1 + 1 - -11. Suppose 3*c - v = -2*c. Find the second derivative of l + c*l**2 - 4*l + 2*l wrt l.
4
Let h = 5 - 3. Suppose 8 = h*w - w. What is the first derivative of -3*a**4 + 8*a**2 + 3 - w*a**2 wrt a?
-12*a**3
Differentiate -53 - 9*p + 22*p**2 - 22*p**2 + p**4 + 29*p with respect to p.
4*p**3 + 20
Let v(b) = 10*b**2 - 5*b + 8. Let p(s) = 3*s**2 - 2*s + 3. Let q(y) = -8*p(y) + 3*v(y). What is the second derivative of q(m) wrt m?
12
Let k = -5 - -7. Let j(n) = n**3 + 5*n**2 - n - 2. Let c be j(-5). Find the third derivative of -6 + c*x**4 + 4 + k - 2*x**2 wrt x.
72*x
Let v = 18 + -12. Let b be (0 - 2)/(2/(-6)). What is the third derivative of -3*q**3 - b + v + q**2 wrt q?
-18
Let q(w) be the third derivative of -w**5/20 - 5*w**3/6 - 6*w**2. Find the first derivative of q(b) wrt b.
-6*b
Let q be 2/(-3) - (-188)/12. Suppose 3*g - q = -0*g. What is the second derivative of 2*r**2 + 5*r**5 - 2*r**2 - 6*r**g - r wrt r?
-20*r**3
Let n be (-200)/16 + (-1)/(-2). Let y be n/(-8) - 2/(-4). Find the second derivative of 0*i**2 - i**2 - 2*i - 3*i**2 + 0*i**y wrt i.
-8
Let k = -5 + 7. Suppose k = 3*d - 7. What is the derivative of 1 + m + d*m + 0 wrt m?
4
Let c(k) = k**3 - k**2 + 1. Let m(a) = 3*a**4 - 2*a**3 - 3*a**2 - 2. Let l(q) = 6*c(q) + 3*m(q). Find the third derivative of l(s) wrt s.
216*s
Suppose h + v = 0, 2 = -h + 2*v + 14. Suppose -j = -5*w + 6, -w - 5*j - h = -26. Find the second derivative of -2*o**3 + 6*o + w*o**3 - 3*o + o**3 wrt o.
6*o
Let s(q) be the third derivative of q**5/10 - 17*q**4/24 - 6*q**2. What is the second derivative of s(v) wrt v?
12
Let z(b) be the first derivative of 2*b**7/7 + 3*b**4/2 + 2*b**3/3 + 6*b - 6. Find the third derivative of z(t) wrt t.
240*t**3 + 36
Differentiate -5*r**2 + 17 + r**2 + 12*r**2 - 5*r**2 with respect to r.
6*r
Suppose -5*a = -15 - 5. Find the second derivative of a*y**3 + y + 3*y - y**3 wrt y.
18*y
Let f(o) be the first derivative of 15*o**4/2 - o**3 + 32. What is the third derivative of f(a) wrt a?
180
Let r(c) be the second derivative of 7*c**5/20 - 5*c**3/6 + 8*c. What is the second derivative of r(b) wrt b?
42*b
Suppose -l + 4*l - 3*z - 3 = 0, 5*l - 2*z - 11 = 0. What is the third derivative of 4*o**5 - 3*o**2 + 15*o**3 - 15*o**l wrt o?
240*o**2
Let z(b) be the first derivative of -5*b**2/2 - 2*b + 3. Find the first derivative of z(g) wrt g.
-5
Let z(p) = 68*p**2 + 2*p + 46. Let d(b) = -b**2 - b + 1. Let t(l) = 2*d(l) + z(l). Differentiate t(o) with respect to o.
132*o
Suppose -2*m + 7*m - 10 = 0. What is the derivative of 7*g + 4 - m*g**3 - 7*g - 7 wrt g?
-6*g**2
Let f be ((-12)/10)/(6/(-40)). Let z(x) = x**3 - 8*x**2 - x + 8. Let r be z(f). Find the first derivative of -3*s + 1 + 3*s - 3*s**3 + r*s wrt s.
-9*s**2
Let y(i) be the second derivative of -3*i**5/4 - 6*i**2 + 16*i. What is the derivative of y(l) wrt l?
-45*l**2
Let b(n) be the first derivative of 4/5*n**5 - 4*n + 0*n**3 + 6 + 0*n**4 + 0*n**2. Differentiate b(i) with respect to i.
16*i**3
Let p(j) = -10*j**4 - 4*j**3 + 4*j**2 - 7. Let q(m) = -31*m**4 - 11*m**3 + 11*m**2 - 22. Let v(i) = -11*p(i) + 4*q(i). Find the first derivative of v(x) wrt x.
-56*x**3
Let k(c) = -c**3 - c**2 + c. Let q be k(-2). Let o = -17 + 21. What is the second derivative of 6 - 6 - q*j + o*j**2 - j wrt j?
8
Suppose 1 + 2 = v. Differentiate 5 - v - 2*a - 3 wrt a.
-2
Let k(x) = -14*x**3 - 13*x**2 + 3*x - 3. Let z(g) = 13*g**3 + 12*g**2 - 2*g + 2. Let v(p) = -2*k(p) - 3*z(p). What is the third derivative of v(y) wrt y?
-66
Let r(u) be the first derivative of -2 + 0*u**4 - 1/3*u**6 + 0*u**5 + 0*u**3 + 3/2*u**2 + 0*u. Find the second derivative of r(o) wrt o.
-40*o**3
Let y(i) be the second derivative of i**7/3 - i**4/4 - 16*i. What is the third derivative of y(m) wrt m?
840*m**2
Suppose -3*l - 48 = -6*l. Suppose -8*d + l = -4*d. Find the first derivative of 0 - d*p**4 + 4 - 1 wrt p.
-16*p**3
What is the first derivative of -15*i**2 - 12 - 35*i**2 + 18 + 21 wrt i?
-100*i
Let f be 1/3*(-1)/4*-6. Let j(w) be the first derivative of -2 + 0*w - w**3 + f*w**2. What is the second derivative of j(m) wrt m?
-6
Suppose 2*s = -4*d + 5*s - 9, -4*d - 4*s = -12. Let g = d + 2. What is the third derivative of g*q**5 - 2*q**2 + 0*q**5 + 3*q**2 wrt q?
120*q**2
Differentiate 117*s - 3*s**2 - 6 - 117*s with respect to s.
-6*s
Let q(g) be the second derivative of 11*g**5/20 + 7*g**2 + g. Differentiate q(h) wrt h.
33*h**2
Let w(m) = 42*m**4 + 5*m**3 + 6*m**2 - 5*m - 12. Let j(x) = x**4 - x**3 - x**2 + x - 1. Let g(v) = -5*j(v) - w(v). Find the third derivative of g(h) wrt h.
-1128*h
Let i(d) be the first derivative of d**10/1680 + d**6/120 - d**3 - 1. Let q(y) be the third derivative of i(y). What is the third derivative of q(t) wrt t?
360*t**3
Let c(k) = -7*k**5 - 7*k**3 + 7*k**2 + 3*k - 7. Let u(g) = g**3 - g**2 - g + 1. Let d(v) = -2*c(v) - 14*u(v). What is the second derivative of d(m) wrt m?
280*m**3
Let d(v) = 4*v + 31. Let r(y) = y + 10. Let i(s) = -2*d(s) + 7*r(s). Let u be i(5). Find the second derivative of -x + 0*x + 0*x**3 + 0*x + 2*x**u wrt x.
12*x
Let q be (-10)/(-4)*2 - 3. Let u(v) = 6 - 2 - 3*v + 2*v. Let c(h) = -2*h + 13. Let x(l) = q*c(l) - 7*u(l). Differentiate x(g) wrt g.
3
Let m(u) be the third derivative of 0*u**6 + 0 + 0*u - 1/12*u**4 + 0*u**5 + 1/105*u**7 + 0*u**3 - 2*u**2. Find the second derivative of m(g) wrt g.
24*g**2
Let u(k) be the first derivative of 3*k**4/4 - 53*k**2/2 + 12. Find the second derivative of u(r) wrt r.
18*r
Let w(m) = m**2 + 5*m - 6. Let q be w(-6). Suppose -z + 5*z - 12 = q. Find the first derivative of 2 + 7*k**3 + 0 + 2 - z*k**3 wrt k.
12*k**2
Let k(w) be the second derivative of -1/12*w**4 + 0 - 1/4*w**5 - 4*w + 0*w**3 + 0*w**2. What is the third derivative of k(x) wrt x?
-30
Find the third derivative of 3*r**3 + 29 - 29 - 4*r**2 wrt r.
18
Find the second derivative of -2 - 10*m**4 - 440*m - 2*m**3 - 452*m + 879*m wrt m.
-120*m**2 - 12*m
Let a(x) = 2*x**2 - 6*x - 4. Let v be a(5). What is the third derivative of 16*w**4 - 3*w**2 + 0*w**2 + 7*w**6 - v*w**4 wrt w?
840*w**3
Differentiate 120 - 65 - 4*r - 80 - 4*r*