 i(x). Differentiate k(z) wrt z.
18*z**2
Let g = 9 + -6. Let h be (g*(-8)/(-6))/2. Differentiate -2*a**2 + a**h - 2 - a**2 wrt a.
-4*a
What is the third derivative of 7*l**2 - 2*l**3 - 5*l**2 + 6*l**5 + 2*l**3 wrt l?
360*l**2
Let t(m) = 10*m**4 + 2*m**2 + 17*m. Let y(u) = 10*u**4 + 3*u**2 + 18*u. Let n(x) = 3*t(x) - 2*y(x). What is the second derivative of n(j) wrt j?
120*j**2
Let x(m) = -m**4 - m**2 - m. Let b(v) = -6*v**5 + 11*v**4 + 12*v**2 + 11*v. Let d(f) = 2*b(f) + 22*x(f). What is the third derivative of d(a) wrt a?
-720*a**2
Differentiate 4 - 3 - t - 2 - 5 with respect to t.
-1
What is the third derivative of 1763*t + 27*t**5 - 29*t**2 - 1763*t wrt t?
1620*t**2
Let a(c) be the third derivative of -c**6/20 - c**5/6 - c**2. Find the third derivative of a(p) wrt p.
-36
Let f(m) = -4*m + 5. Let b be -7 - 3*(-3 - -2). Let n(h) = -h**3 - 7*h + 9. Let p(t) = b*n(t) + 7*f(t). Find the first derivative of p(u) wrt u.
12*u**2
Let s(j) be the first derivative of -j**6/180 - j**4/8 - j**3/3 - 1. Let w(c) be the third derivative of s(c). Differentiate w(i) with respect to i.
-4*i
Let p(l) = -l**3 + 1. Let i be ((-10)/(-15))/((-4)/(-6)). Let w(c) = -c**3 - 2. Let o(t) = i*p(t) + w(t). What is the derivative of o(s) wrt s?
-6*s**2
Let s(p) be the second derivative of 1/30*p**6 + 0 + 2*p + 0*p**4 + 0*p**2 + 0*p**5 - 2/3*p**3. Find the second derivative of s(u) wrt u.
12*u**2
Let b(o) = -o**2 + 9*o - 14. Let h be b(6). Find the third derivative of 25 + 4*w**4 + 2*w**h + 6*w**2 - 25 wrt w.
144*w
Let y(a) = -a**3 + a**2 + a - 15. Let m be y(0). Let i be (6/(-5))/(3/m). What is the third derivative of -3*h**6 + h**2 + 4*h**6 + 0*h**i wrt h?
120*h**3
Let t(m) be the first derivative of 0*m**4 + 4/3*m**3 + 0*m**2 - 1 + 1/7*m**7 + 0*m**6 + 0*m + 0*m**5. Find the third derivative of t(k) wrt k.
120*k**3
Let t(u) = 2*u + 4. Let d be t(8). Suppose -4*s - 5*o + d = s, -5*o = -5*s. What is the third derivative of 0*y**2 - y**2 + s*y**5 + 0*y**5 - 3*y**2 wrt y?
120*y**2
Let l = -6 + 10. Find the second derivative of 3*j + l*j**3 - j + 0*j**3 - 2*j**3 wrt j.
12*j
Find the third derivative of -14*p**3 - p**2 - 3*p**2 + 13*p**2 + 4*p**3 wrt p.
-60
Suppose -2*m = -m + 2*r - 8, 4*r = 3*m + 6. Find the third derivative of m*a**2 - 5*a**2 + 3*a**6 - 4*a**6 wrt a.
-120*a**3
Let t(j) be the third derivative of 5*j**2 + 1/6*j**4 + 0 - 1/3*j**3 + 0*j. Find the first derivative of t(h) wrt h.
4
Suppose 3*q + 1 = 4. What is the derivative of q - 8*x - x**4 + 8*x wrt x?
-4*x**3
Let v(i) = -20*i**3 - 17*i**2 + 3*i - 3. Let x(w) = -41*w**3 - 35*w**2 + 7*w - 7. Let a(c) = -7*v(c) + 3*x(c). What is the third derivative of a(d) wrt d?
102
Suppose -1 - 1 = -c. Let w = 3 - -1. Find the third derivative of 2*f**4 + 0*f**4 + 2*f**6 + c*f**2 - 2*f**w wrt f.
240*f**3
Let w(b) be the third derivative of -b**8/420 + b**4/8 + b**3/2 - 7*b**2. Let y(z) be the first derivative of w(z). Differentiate y(k) with respect to k.
-16*k**3
What is the second derivative of 388*u + 2 - 763*u + 385*u - 18*u**5 wrt u?
-360*u**3
What is the third derivative of -63*x**2 - 2*x**3 + x**4 - 468*x**5 + 2*x**3 + 464*x**5 wrt x?
-240*x**2 + 24*x
Let m(d) be the third derivative of -d**8/960 - d**5/120 + d**4/24 + d**2. Let c(r) be the second derivative of m(r). Differentiate c(l) wrt l.
-21*l**2
Let w(y) = -2*y**3 - 7*y**2 - 19*y - 94. Let l(u) = u**3 + 4*u**2 + 10*u + 47. Let b(i) = 7*l(i) + 4*w(i). What is the derivative of b(n) wrt n?
-3*n**2 - 6
Let j be 6/(-4)*(-20)/6. Let k be 2/j*(1 - -4). Find the third derivative of -w**6 + 2*w**2 - k*w**2 - 2*w**2 wrt w.
-120*w**3
Let c(s) be the second derivative of -11*s**3/3 + 15*s**2/2 + 19*s. Differentiate c(r) with respect to r.
-22
Find the second derivative of -4 + 0*k + 15*k + 13*k**2 + 4 wrt k.
26
Let v(d) be the first derivative of -d**5/10 - d**4/12 + 3*d**2 - 6. Let r(s) be the second derivative of v(s). Find the second derivative of r(l) wrt l.
-12
Let i(k) be the third derivative of -k**4/24 + 2*k**3/3 - 2*k**2. Let o be i(4). Find the second derivative of -4*r + 0*r - r**5 + o*r wrt r.
-20*r**3
Suppose 5*z + 105 = q + 4*q, 0 = -5*z - 20. What is the derivative of q + h - 12 + 4*h wrt h?
5
Let y = 8 - 4. Suppose -y*m + 3 = -3*o, 2*m = -o + 3*m. What is the first derivative of i**o - 4*i**2 + 4*i**2 - 1 wrt i?
3*i**2
Let b = 85 - 81. Let l(j) be the first derivative of 0*j**3 - 3/5*j**5 + 3*j + 1 + 0*j**b + 0*j**2. What is the first derivative of l(s) wrt s?
-12*s**3
Suppose -5*b = -b + 6*b. Let a(q) be the first derivative of b*q - 1/4*q**4 + 0*q**3 - 2 + q**2. Find the second derivative of a(p) wrt p.
-6*p
Let q(d) be the third derivative of 0*d**7 + 0 + 0*d**5 + 2*d**2 + 1/112*d**8 + 0*d**6 - 1/12*d**4 + 0*d**3 + 0*d. What is the second derivative of q(s) wrt s?
60*s**3
Let x be ((-9)/(-2))/(15/20). Let d(o) = -o**2 + 7*o + 1. Let s be d(x). Find the third derivative of 7*r + 3*r**2 + 3*r**4 - s*r wrt r.
72*r
Let w(o) = 16*o - 88. Let b(i) = -4*i + 22. Let l(n) = 18*b(n) + 4*w(n). Differentiate l(v) wrt v.
-8
Suppose -b = -4*t, -3*b = -3*t - b. Suppose -u + 0*u + 2 = t. Find the third derivative of 0 + 0 + u*j**3 + j**2 wrt j.
12
Let r(c) be the first derivative of -c**4 + 2*c**3/3 + 6. Find the third derivative of r(p) wrt p.
-24
Let w be (0 - -8) + (-5 - -3). Let c = w + -4. Find the second derivative of 3*o - o**5 + c*o - 4*o wrt o.
-20*o**3
Find the third derivative of 4*a**2 - 27*a**3 - 27*a**2 - 4*a**2 wrt a.
-162
Let b(u) be the second derivative of -u**9/168 + u**5/60 - 3*u**2/2 + 3*u. Let i(l) be the first derivative of b(l). What is the third derivative of i(s) wrt s?
-360*s**3
Let l(h) be the first derivative of 7*h**3/3 - 5*h**2 + 8. Find the second derivative of l(q) wrt q.
14
Let k(o) = -4*o**2 - 11*o - 5. Let n(a) = a**2 + 4*a + 2. Suppose -3*z + 33 = -0*z. Let b(l) = z*n(l) + 4*k(l). What is the first derivative of b(s) wrt s?
-10*s
Let g(p) = 16*p**3 - 3*p**2 + 9*p - 3. Let s(k) = -32*k**3 + 7*k**2 - 18*k + 7. Let v(n) = 7*g(n) + 3*s(n). What is the second derivative of v(r) wrt r?
96*r
Let v(d) = d + 6. Let b be v(7). Suppose -3*a + b = -11. What is the first derivative of 4*o**3 - a*o - o + 2 + 9*o wrt o?
12*o**2
Let a(o) be the second derivative of -o**9/3024 - o**7/840 + o**4/2 + 5*o. Let q(z) be the third derivative of a(z). What is the third derivative of q(v) wrt v?
-120*v
Suppose c + 31 = 6*c + 4*o, 2*o = 2*c - 16. Let z = -2 + c. What is the second derivative of w + 2*w - 9*w**z + 8*w**5 - 2*w wrt w?
-20*w**3
Let k(u) = -2*u + 4. Let n be k(4). Let i be (2 - 1)/(-2)*n. What is the third derivative of 4*c**2 + c**5 - 3*c**2 - i*c**5 wrt c?
-60*c**2
Suppose 0*q + q + 4 = 2*s, 5*q - 19 = -3*s. Find the first derivative of q + 0*m**3 - 5 + 5*m**3 wrt m.
15*m**2
Suppose 0*q + 8 = 2*q. Suppose -12 = -q*s + 4. What is the third derivative of k**2 - 4*k**s + k**4 + 5*k**4 wrt k?
48*k
Let z(b) = -2*b**5 + 2*b**4 + b**2 + 2. Let j(w) = 3*w**5 - 5*w**4 - w**2 - 5. Let o(m) = 4*j(m) + 10*z(m). Find the third derivative of o(r) wrt r.
-480*r**2
Suppose 0 = 2*j - 0*j + 2*a - 14, j = -3*a + 17. Let g = 7 + -5. Differentiate -g*y**j + 1 + 2 + 4 - 3 with respect to y.
-4*y
Let x be (0 - (2 - 2))/1. Find the second derivative of -2*s**5 - 5*s + 4*s**4 - 4*s**4 + x*s**4 wrt s.
-40*s**3
Let c(l) = -l - 14. Let f be c(0). Let o(k) = 13*k**4 - 2*k**2. Let j(m) = 4*m**4 - m**2. Let r(u) = f*j(u) + 4*o(u). Find the third derivative of r(b) wrt b.
-96*b
Let r(g) be the first derivative of -3/5*g**5 + 4*g + 0*g**4 + 0*g**3 + 0*g**2 + 7. What is the first derivative of r(u) wrt u?
-12*u**3
Let m be (1 - 10/4)*-4. What is the third derivative of -n**m + 2*n**4 + 3*n**2 - 2*n**4 wrt n?
-120*n**3
Find the third derivative of 11*b**3 + 23*b**2 - 16*b**3 + 26*b**4 + 5*b**3 wrt b.
624*b
Let i(c) be the second derivative of 2*c + 0*c**2 + 5/6*c**3 + 0 - 7/12*c**4. Find the second derivative of i(j) wrt j.
-14
Let j(i) = -5*i**4 - 3*i**3 + 3*i - 5. Let b(n) = -10*n**4 - 5*n**3 + 5*n - 9. Let f = -2 - 1. Let g(h) = f*b(h) + 5*j(h). Differentiate g(a) wrt a.
20*a**3
Let q = 184 + -3679/20. Let l(x) be the second derivative of -x + 0*x**4 - q*x**5 + 0 + 0*x**3 - 1/2*x**2. What is the derivative of l(b) wrt b?
-3*b**2
Let y be ((-2)/(-5))/(3/30). Let g = 4 - y.