 derivative of b(t) wrt t.
10
Let o(k) = k**2 + 8*k + 3. Let f(p) = p**2 + 9*p + 4. Let i(j) = 3*f(j) - 4*o(j). Let z be i(-5). Differentiate -r - 2 + 0*r + z*r with respect to r.
-1
What is the second derivative of 6*p**5 - 5*p + 26*p - 15*p wrt p?
120*p**3
Suppose 2*f = 5*f - 15. Differentiate 3 - 4*b + f - 7 wrt b.
-4
Let l(q) be the second derivative of -q**7/504 + q**5/120 + q**4/6 - q. Let p(a) be the third derivative of l(a). Differentiate p(n) wrt n.
-10*n
Let t(s) = -s**2 + 5*s + 8. Let i be t(6). What is the third derivative of -3 + 4 + 2*c**i - c**4 - 1 wrt c?
-24*c
What is the second derivative of -8*a - 2*a**3 + 4*a**3 + 9*a wrt a?
12*a
Let i(j) be the third derivative of -j**4/12 + 5*j**3/6 - 21*j**2. What is the derivative of i(k) wrt k?
-2
Let d(y) = y**2 + y + 1. Let k(t) = 3*t**2 - 4*t + 8. Let i(r) = 2*d(r) - k(r). Let a be i(4). What is the first derivative of -1 + 4*h + 4 - a*h wrt h?
2
Suppose 14 = 2*a - 4*q - 0, -3*a = -3*q - 15. What is the second derivative of 11*s - 16*s + s**3 + 2*s**a wrt s?
18*s
Let v = -7 + 4. Let x = 6 + v. Differentiate 3*w - 3*w + 1 + x*w**2 with respect to w.
6*w
Find the second derivative of -2*w + 8*w + 2*w**3 - 2*w + 5*w wrt w.
12*w
Let u(v) = v + 9. Let q be u(-7). Differentiate -q + 1 + a**2 + 0*a**2 wrt a.
2*a
Let z(x) be the third derivative of -x**11/27720 + x**7/840 - x**4/8 - x**2. Let d(t) be the second derivative of z(t). Find the third derivative of d(s) wrt s.
-240*s**3
Find the third derivative of 3*x**2 - 11*x**4 + 60*x**3 - 30*x**3 - 30*x**3 wrt x.
-264*x
Let m(k) = 5*k**3 - 6*k**2 + 2*k. Let d(x) = -11*x**3 + 13*x**2 - 5*x. Let n(f) = 2*d(f) + 5*m(f). What is the third derivative of n(g) wrt g?
18
Let w(a) = -a**2 + 2. Let b(j) = j**3 + 5*j**2 - 9. Let h(z) = 4*b(z) + 18*w(z). What is the third derivative of h(m) wrt m?
24
Let r be 1/(3/(-9) - 0). Let y = 7 + r. What is the third derivative of 3*u**2 + y*u**6 - 4*u**6 - 3*u**6 - 4*u**2 wrt u?
-360*u**3
Let t be (-2)/(-4)*(2 + -2). Differentiate o**2 + t + 6 + 0 with respect to o.
2*o
Let s = -82 + 124. What is the first derivative of -1 - s*q**3 + 42*q**3 + q**4 wrt q?
4*q**3
Let t(o) = -13*o + 1. Let m(p) = 3*p. Let g be (-70)/(-8) - (-2)/8. Let d(c) = g*m(c) + 2*t(c). What is the derivative of d(f) wrt f?
1
Let o = 4 + -1. What is the derivative of 4 + o*l**2 - 1 - 6 wrt l?
6*l
Let p(y) be the first derivative of 5*y**7/7 + 3*y**3 + 12. What is the third derivative of p(l) wrt l?
600*l**3
What is the second derivative of 46*m**5 + 14*m**5 + 5 - 11 + 6*m + 4 wrt m?
1200*m**3
Let c be 2 + (3 - 4) + 1. What is the derivative of 4 + 6*p**2 - 2*p**c + 0 - 3*p**2 wrt p?
2*p
Let y(z) be the first derivative of 2*z**7/21 + z**3 - 4*z + 4. Let k(h) be the first derivative of y(h). Find the second derivative of k(d) wrt d.
80*d**3
Let v(d) be the second derivative of d**6/40 + d**3/6 - d**2 + 3*d. Let m(r) be the first derivative of v(r). What is the first derivative of m(h) wrt h?
9*h**2
Let k(h) be the first derivative of -h**6 - 2*h**2 + 8. Find the second derivative of k(d) wrt d.
-120*d**3
Let x(t) be the second derivative of -1/6*t**3 + 4*t - 7/2*t**2 + 0. Let s(y) = y + 15. Let p(o) = 3*s(o) + 7*x(o). Find the first derivative of p(b) wrt b.
-4
Let r = 7 + -5. Suppose 3*a - r = a + 2*p, -3*p = 2*a - 12. Differentiate 1 + k - a + 4 wrt k.
1
Let f be 1 + 1 + 18 - 0. Suppose 4*m - f = -m. What is the derivative of -2*s**m - 1 + 0*s**4 + 2 wrt s?
-8*s**3
What is the third derivative of -10*b**2 - 12*b**6 + b**6 + 3*b**6 wrt b?
-960*b**3
Let o = -72 + 72. Let v(w) be the first derivative of 3/2*w**2 + 3 + 0*w**3 + o*w**5 + 0*w - 1/3*w**6 + 0*w**4. What is the second derivative of v(a) wrt a?
-40*a**3
Let f(q) be the first derivative of -q**2 + 4*q**2 - 4 + q - 5*q**2. What is the derivative of f(u) wrt u?
-4
Let p(u) be the third derivative of -u**7/840 + u**6/360 - u**3/6 - 4*u**2. Let s(h) be the first derivative of p(h). Find the third derivative of s(d) wrt d.
-6
What is the second derivative of 3*i + 6*i - i + 0*i**5 - 4*i**5 wrt i?
-80*i**3
Suppose s - 4*s = 0. Let u(m) be the first derivative of 0*m**3 - 2 + 0*m + m**2 + 0*m**4 + 1/2*m**6 + s*m**5. What is the second derivative of u(b) wrt b?
60*b**3
Suppose -v = -0*v - 5. Find the third derivative of -t**3 + t**5 - 4*t**3 + 5*t**3 - v*t**2 wrt t.
60*t**2
Let y(k) = 8*k**2 + 2*k. Let g(b) = 16*b**2 + 3*b. Let o(r) = 6*g(r) - 14*y(r). Find the second derivative of o(h) wrt h.
-32
Suppose 0 = -4*h + 3*a + 30, -a = -5*h - 3*a + 26. Let k be 28/5 + 8/20. What is the third derivative of b**6 - 3*b**2 - 5*b**k + 2*b**h - b**6 wrt b?
-360*b**3
What is the derivative of 11 + 34 - 32*s**4 - 15 wrt s?
-128*s**3
Let f(v) = -4*v - 3. Let t(w) = w + 1. Let l(q) = 2*q + 2. Let g(o) = -6*l(o) + 13*t(o). Let m(k) = -3*f(k) - 15*g(k). What is the derivative of m(u) wrt u?
-3
Let c(a) be the first derivative of a**5/10 + a**4/12 - a + 1. Let w(z) be the first derivative of c(z). What is the third derivative of w(u) wrt u?
12
Let p(s) be the first derivative of 0*s - 6 + 0*s**3 - 1/5*s**5 - 1/2*s**2 + 0*s**4. Find the second derivative of p(y) wrt y.
-12*y**2
Let y(m) be the second derivative of m**8/240 - m**6/72 + m**3/3 - 8*m. Let f(k) be the second derivative of y(k). Find the third derivative of f(o) wrt o.
168*o
Let z(g) = 6*g**6 - 2*g**3 - 45*g**2. Let b(f) = 13*f**6 - 4*f**3 - 88*f**2. Let q(n) = 3*b(n) - 5*z(n). What is the third derivative of q(w) wrt w?
1080*w**3 - 12
Let y(i) = -17*i**3 - 6*i**2 - 6*i + 8. Let d(j) = -j**2 - j + 1. Let o(f) = 6*d(f) - y(f). Differentiate o(u) wrt u.
51*u**2
Let l be (-38)/(-8) - 1/(-4). What is the first derivative of -1 + 4 + 5*b - 3*b - l wrt b?
2
Suppose -m = -0*m - 6. What is the second derivative of 7*v**4 - m*v**4 - 4*v + v wrt v?
12*v**2
Let x(c) = c**4 + 6 - 7 + 0*c**2 - 3*c**2. Let u(m) = -m**4 + 2*m**2. Let o(n) = -3*u(n) - 2*x(n). Differentiate o(y) with respect to y.
4*y**3
Let j be 2/5 + 16/10. Let i be (2 + -1 - j)*-2. Find the third derivative of -v**5 + 2 - 3*v**2 - i wrt v.
-60*v**2
Suppose -4 = 2*l - 3*l. Find the second derivative of 0 - l*u - 2*u**4 + 0 wrt u.
-24*u**2
Let b(t) = t**4 - t**3 - t. Let w(j) = 2*j**4 - 12*j**3 - 4*j. Suppose c + 24 = -c. Let k(s) = c*b(s) + w(s). Find the second derivative of k(h) wrt h.
-120*h**2
Let h = -3 + 5. Find the second derivative of -h*b + b**4 - b**4 + 2*b**4 wrt b.
24*b**2
Let x(v) be the third derivative of v**6/120 - v**3/2 - 15*v**2. What is the first derivative of x(o) wrt o?
3*o**2
What is the third derivative of 77*r**2 - 63*r**2 + 54*r**4 - 2*r + 2*r wrt r?
1296*r
Find the second derivative of 3*k**2 + 34*k - 37*k**2 + 18*k + 7*k**2 wrt k.
-54
Let c(b) = -b**3 + b**2 + b. Let p(f) = -8*f**3 + 9*f**2 + 12*f. Let m(t) = 18*c(t) - 2*p(t). What is the second derivative of m(v) wrt v?
-12*v
Let b(i) = -24*i**4 + 4*i**3 + 4*i**2 - 4*i - 19. Let r(w) = -265*w**4 + 45*w**3 + 45*w**2 - 45*w - 210. Let m(z) = 45*b(z) - 4*r(z). Differentiate m(o) wrt o.
-80*o**3
Let x(s) be the third derivative of 5*s**8/168 + 5*s**4/8 - 15*s**2. What is the second derivative of x(l) wrt l?
200*l**3
What is the third derivative of 0*w**4 - 8*w**5 + 8*w**2 + 3*w**4 - 3*w**4 wrt w?
-480*w**2
Suppose 4*o = 3*q + 12 + 2, -2*q = -5*o + 14. What is the third derivative of 0*r**4 - 2*r**2 - 2*r**4 + 0*r**o wrt r?
-48*r
Let h be (2 - 7)/(-6 + 5). Find the third derivative of 2 - 2 + 7*t**3 + 2*t**3 + h*t**2 wrt t.
54
Let a be 2/(3*1/15). Let h be ((-3)/(-2))/(5/a). What is the second derivative of -y + 0*y + 3*y**3 + 2*y - 5*y**h wrt y?
-12*y
Differentiate -9 - 1 + 1 + 2 - 16*h**3 with respect to h.
-48*h**2
Suppose 25 = i + 5*d, 5*d = i + i + 25. Suppose 0*p = 5*s - p - 6, i = 2*s - p. What is the second derivative of -5*n**5 + s - 2 - 2*n wrt n?
-100*n**3
Find the third derivative of -v**6 - 3*v**2 - 3*v**6 + v**6 wrt v.
-360*v**3
Let f(u) be the third derivative of -23*u**9/504 + 2*u**5/5 + 15*u**2. What is the third derivative of f(p) wrt p?
-2760*p**3
Let q(l) be the second derivative of 0 + 0*l**2 + 3*l + 0*l**4 - 2/3*l**3 - 2/21*l**7 + 0*l**5 + 0*l**6. Find the second derivative of q(m) wrt m.
-80*m**3
Let z(w) be the third derivative of w**5/60 - w**4/24 + 2*w**2. What is the second derivative of z(b) 