t i?
9*i**2
Differentiate 7 + 15 + 6 - 19 + 6*d wrt d.
6
Let f(s) = -2*s**3 + 22*s**2 + 57*s + 5. Let a(m) = -2*m**3 + 20*m**2 + 58*m + 4. Let c(b) = -5*a(b) + 4*f(b). What is the second derivative of c(v) wrt v?
12*v - 24
Differentiate 192 - 118 - 146 - 9*y with respect to y.
-9
What is the second derivative of 8*k**2 - 3*k - 2*k**2 - k**2 wrt k?
10
What is the derivative of 0 - 3 + 20*k - 17*k wrt k?
3
Suppose -c + 6 = 2*c. Find the second derivative of 7*z**c + 15*z - 9*z - 4*z**2 wrt z.
6
Let x(z) be the third derivative of 0 + 0*z + 1/60*z**6 + 0*z**5 - 2*z**2 + 0*z**3 - 1/12*z**4. What is the second derivative of x(w) wrt w?
12*w
Let t(k) be the third derivative of 0 + 0*k**3 + 0*k**4 - 4*k**2 + 1/30*k**6 - 1/30*k**5 + 0*k. Find the third derivative of t(f) wrt f.
24
Let r(z) = -8*z**3 - 13. Let y(i) = -i**3. Let t(u) = -r(u) - 3*y(u). Find the first derivative of t(m) wrt m.
33*m**2
Suppose 2 = -r - 3*g, -r + 0*r = 5*g + 4. Suppose -j = -r - 2. What is the derivative of 4*c**3 + 0 + 2 - j + 0*c**3 wrt c?
12*c**2
Let f(x) be the second derivative of x**8/560 - x**6/180 + 2*x**3/3 + 3*x. Let i(a) be the second derivative of f(a). Find the third derivative of i(o) wrt o.
72*o
Let a(w) be the second derivative of 9*w**8/56 - 23*w**4/12 - 30*w. What is the third derivative of a(l) wrt l?
1080*l**3
Let j(f) be the first derivative of 0*f**4 + 0*f**5 + 0*f + 6 + 0*f**3 - 3*f**2 - 1/3*f**6. What is the second derivative of j(z) wrt z?
-40*z**3
Let l = 36 - 40. Let r(n) = -7 - 4*n**3 + 4*n + 1 + 0 + 3*n**4. Let c(q) = -6*q**4 + 9*q**3 - 9*q + 13. Let y(u) = l*c(u) - 9*r(u). Differentiate y(d) wrt d.
-12*d**3
Let v(o) be the third derivative of -o**7/210 - 19*o**4/24 - o**3/3 + 22*o**2 + 2*o. What is the second derivative of v(p) wrt p?
-12*p**2
Find the third derivative of 2*k**5 + 131*k**4 - 131*k**4 - 5*k**2 wrt k.
120*k**2
Let z(l) = l**3 - 12*l**2 + 13*l - 15. Let w be z(11). What is the third derivative of 11 - w*q**3 - 5 - 6 - 7*q**2 wrt q?
-42
Let c be (-3)/(8 - 2)*-12. Find the second derivative of 3*u**4 + 4*u**4 - 5*u**4 - c*u wrt u.
24*u**2
Let h(z) = -17*z - 52. Let n(y) = 42*y + 130. Let o(t) = -12*h(t) - 5*n(t). What is the derivative of o(m) wrt m?
-6
Let m(d) be the third derivative of d**8/168 + 19*d**7/210 + d**5/5 - d**3/6 - 5*d**2 - 3*d. Find the third derivative of m(w) wrt w.
120*w**2 + 456*w
Let u(y) = y**3 + 4*y**2 + 2*y. Let a be u(-3). What is the second derivative of 2*h**5 - 10*h + a*h**5 + 4*h wrt h?
100*h**3
Let p(k) = 2*k - 5. Let m be p(4). Find the first derivative of m*j**4 + j**3 + 2*j**3 - 3*j**3 - 1 wrt j.
12*j**3
Suppose 5*v + 2*x - 13 = 6, 0 = v + 4*x + 7. Suppose v*u = 20, -t - t - u = -8. What is the second derivative of -5*f + 2*f + 2*f**t - f wrt f?
4
Find the second derivative of -48*a**2 + 26*a + 95*a**2 - 50*a**2 wrt a.
-6
Let m(o) = 2*o**2 + 2*o - 1. Let f be m(-2). Find the third derivative of -q**4 + 0*q**2 - q**5 + f*q**2 + q**4 wrt q.
-60*q**2
Let x = 1 - -2. Suppose -5 - 1 = -3*k. Find the third derivative of -f**k - 2 + 2*f**x + 2 wrt f.
12
Let g(z) = 10*z**3 - 3*z**2 - 3*z - 15. Let k(q) = 110*q**3 - 34*q**2 - 34*q - 166. Let w(h) = -68*g(h) + 6*k(h). Find the first derivative of w(a) wrt a.
-60*a**2
Suppose 6 = 2*g - g - 3*f, 5*g - 2*f - 17 = 0. Let r(x) be the first derivative of -x + 0*x**g + 2 - 1/4*x**4 + 0*x**2. Differentiate r(p) wrt p.
-3*p**2
Let t = 3 + 1. What is the second derivative of 4*y**t - 5*y - 4*y**4 + 2*y**4 wrt y?
24*y**2
Let p(d) be the second derivative of -8*d**7/21 + 3*d**4/4 - 35*d. Find the third derivative of p(c) wrt c.
-960*c**2
Let l(p) be the second derivative of p**6/24 - p**4/24 - 3*p**2/2 - 6*p. Let m(d) be the first derivative of l(d). What is the second derivative of m(v) wrt v?
30*v
Let s(c) = c**3 + 2*c**2 - 2*c - 1. Let u be s(-2). Suppose -i = 2*i - 6. Find the first derivative of -3 + u*p**2 - p**2 + i wrt p.
4*p
Let q(g) = -28*g**3 - 19*g. Let f(l) = 57*l**3 + 39*l. Let h(p) = 3*f(p) + 5*q(p). Find the second derivative of h(k) wrt k.
186*k
Let m(b) be the first derivative of 2 - 1/5*b**5 - 1/2*b**2 + 0*b + 0*b**4 + 0*b**3. What is the second derivative of m(f) wrt f?
-12*f**2
Find the second derivative of 8*f**4 + 301*f**2 - 16*f - 301*f**2 wrt f.
96*f**2
Let k(b) be the second derivative of b**7/70 - 7*b**4/24 + 3*b**2/2 + 5*b. Let x(z) be the first derivative of k(z). Find the second derivative of x(m) wrt m.
36*m**2
Suppose -5*t - 13 = -2*f - 4, 0 = -2*f + t + 5. Find the third derivative of 3*i**4 - 38*i**2 + 21*i**f + 20*i**2 wrt i.
72*i
Let p(b) = 10*b**5 - 2*b**4 + 6*b. Let f(g) = 19*g**5 - 5*g**4 + 13*g. Let r(h) = 2*f(h) - 5*p(h). What is the second derivative of r(u) wrt u?
-240*u**3
Let u = -10 - -13. Let m(x) be the first derivative of -1/3*x**6 + 0*x**5 + 0*x**3 + 0*x**4 - 3/2*x**2 - u + 0*x. Find the second derivative of m(y) wrt y.
-40*y**3
Let j be 1/(-3) + (-1)/(-3). Let x(l) = l**2 + 4*l - 1. Let k be x(-5). Differentiate k*y + j*y + 1 - 3*y wrt y.
1
Let c = 6 + -9. Let w(h) = h + 3. Let s be w(c). What is the first derivative of s*x**3 - x**3 + x**3 - 2 - 2*x**3 wrt x?
-6*x**2
Let x(l) = -1. Let o(k) = -3. Let d(j) = -2*o(j) + 5*x(j). Let v(s) = 6*s - 1. Let z(u) = 6*d(u) - v(u). Differentiate z(q) with respect to q.
-6
Suppose 5*d - 6 = 4*a, 3*a = -3*d + 7*a + 2. Let v = 0 + d. What is the third derivative of s**4 - 5*s**3 + v*s**3 + 4*s**2 + 3*s**3 wrt s?
24*s
Find the second derivative of 21 + 3*z + 12*z**2 + 25*z**2 + 2*z**5 + 0*z**2 wrt z.
40*z**3 + 74
Let h(t) be the second derivative of 0*t**2 + 0*t**4 + 0*t**5 + 0*t**6 + 1/42*t**7 - 1/6*t**3 - t + 0. Find the second derivative of h(m) wrt m.
20*m**3
Let y(x) be the first derivative of -5*x**3/3 - 6*x - 8. What is the first derivative of y(n) wrt n?
-10*n
Suppose -6 = 3*z - 0*p + 2*p, -p = -3*z + 3. What is the second derivative of z*h + 3*h**3 + h - h - 3*h wrt h?
18*h
Let o be 16/6 + 4/(-6). What is the first derivative of -3*z + 3*z + 2*z + o + 0*z wrt z?
2
Let t = -170 - -170. Let a(v) be the second derivative of 2*v**2 + 0*v**3 - v + t - 1/3*v**4. What is the first derivative of a(j) wrt j?
-8*j
Let f(y) = 2*y - 2. Let i be f(2). Find the third derivative of -2 + 4 - 4*k**6 - 2*k**i - 2 wrt k.
-480*k**3
Find the first derivative of -18*y - 6*y**3 + 18*y + 16 wrt y.
-18*y**2
Suppose -15 = -5*i - 5*z, 2*i + i - 5*z = -7. Let o be -1 + 5 + i + -1. Find the third derivative of 3*x**2 - 4*x + 0*x**2 + o*x - x**3 wrt x.
-6
Let c be 0 + 4 + -2 + 0. Find the third derivative of -h**4 + 2*h**2 - 2*h**2 + 2*h**c wrt h.
-24*h
What is the derivative of -y**2 - 22*y**2 - 4 - y**2 - 4*y**2 wrt y?
-56*y
Let r = -7 - -11. Find the first derivative of 5 + 0*v**2 - 4*v**2 + 4*v**r + 4*v**2 wrt v.
16*v**3
What is the derivative of 2*v**4 + 3*v**2 + 14 + 0*v**4 - 3*v**2 wrt v?
8*v**3
Let y = -140/3 - -47. Let j(l) be the first derivative of 0*l**2 + y*l**3 + 1/2*l**4 + 0*l - 2. Find the third derivative of j(w) wrt w.
12
Let s(f) = -12*f**3 - 6*f**2 - 15*f + 2. Let l(h) = -36*h**3 - 16*h**2 - 45*h + 5. Let y(z) = -3*l(z) + 8*s(z). What is the second derivative of y(p) wrt p?
72*p
Let n(w) = -18*w + 1. Let t(s) = -18*s + 1. Let r(x) = -6*n(x) + 7*t(x). Differentiate r(y) wrt y.
-18
Let x = 4 - -1. Let a be (-4)/(-10) + 8/x. What is the derivative of 1 - 2*q + 3*q**a + 2*q wrt q?
6*q
What is the first derivative of 6*n + 72*n - 24*n + 16 wrt n?
54
Let h(s) = s**3 + s**2 - s. Let f(d) = 3*d**3 - d**2 + d - 7. Let u(k) = -f(k) - h(k). Find the first derivative of u(y) wrt y.
-12*y**2
Let k(o) = o**2 - 3*o - 58. Let d(w) = w**2 - w - 58. Let p(y) = -3*d(y) + 2*k(y). Find the first derivative of p(i) wrt i.
-2*i - 3
Suppose 1 = 3*s - 14. Suppose -s*l + 0*l = -10. Find the third derivative of -y**2 - l*y**5 + y**5 + 2*y**5 wrt y.
60*y**2
Let p be 2 - (0 + 0)*-1. Suppose 0 = w - 2 - 1. What is the first derivative of p + t**w - 3 + 0*t**3 wrt t?
3*t**2
What is the first derivative of -4 - 5*f**2 + 17 - 3*f + 2 + 2 wrt f?
-10*f - 3
Let p(a) = -a + 2. Let v be p(2). Suppose -3*f + f + 2 = v. What is the derivative of 4*h + h - f - 3*h wrt h?
2
Let w(v) be the first derivative of 17*v**7/7 - 17*v**3/3 + 10. What is the third derivative of w(y) wrt y?
2040*y**3
Let b(j) be the third derivative 