 + 4*i = 36. Let g = 16 - i. What is the first derivative of z - 2 - g*z + 7*z wrt z?
4
What is the second derivative of 10*z**5 + 14*z**5 + 19*z**2 - 3*z + 4 - 21*z**5 wrt z?
60*z**3 + 38
Let r(m) = 2*m**3 + 4*m**2. Let f(o) = -120*o**3 + 20*o**2 + 572. Let y(c) = -f(c) + 5*r(c). Differentiate y(a) with respect to a.
390*a**2
Let q be (-1*(-1 - -2))/(31 - 30). Let j(h) = -2*h + 1. Let c(o) = 28*o + 28. Let r(f) = q*c(f) + 3*j(f). What is the derivative of r(s) wrt s?
-34
Let m(t) = -t**2. Let g be (1/(-3))/(8/6 - 1). Let q(x) = 2*x**2 + 8*x. Let l(p) = g*q(p) - 3*m(p). What is the second derivative of l(u) wrt u?
2
Suppose 2*j + 2*j - 16 = 0. Let n = j - 1. Differentiate 3*f**3 - n + 3*f**3 - 2*f**3 with respect to f.
12*f**2
Let y(i) = -21*i**4 - 8*i**2 + 171*i. Let l(k) = 65*k**4 + 26*k**2 - 513*k. Let v(c) = -4*l(c) - 13*y(c). Find the second derivative of v(t) wrt t.
156*t**2
Let w be ((-2)/8)/((-1)/4). Suppose 1 = g - w. Find the second derivative of -4*f**2 + 3*f**2 + g*f**2 + 4*f wrt f.
2
Suppose 4*c = -27 - 9. Let x(k) = k + 6. Suppose -1 = -w + 1. Let f(i) = 4*i + 25. Let m(t) = c*x(t) + w*f(t). Find the first derivative of m(v) wrt v.
-1
Let p(b) be the first derivative of -58*b**6/3 - 2*b**3 - 3*b**2 - 92. What is the third derivative of p(x) wrt x?
-6960*x**2
Let t = 494/2445 - 1/489. Let r(o) be the first derivative of -6 + 0*o**2 - 1/3*o**3 + 0*o - t*o**5 + 0*o**4. What is the third derivative of r(f) wrt f?
-24*f
Suppose 5*t = b + 20, 0*t - 5*b = 4*t - 16. Find the first derivative of 29*z**4 + 25*z**t - 46*z**4 + 11 wrt z.
32*z**3
Find the second derivative of 10*p**5 - 1 + 92*p**5 - 193*p**5 - 486*p - 332*p**5 wrt p.
-8460*p**3
Let u(o) be the first derivative of 11*o**6/30 + 10*o**2 + 14*o + 10. Let v(m) be the first derivative of u(m). What is the first derivative of v(l) wrt l?
44*l**3
Let j(a) = -29*a**2 + 2*a - 20. Let n(k) = -30*k**2 + 3*k - 19. Let y be (-3)/(2 - 3/6). Let w(z) = y*n(z) + 3*j(z). Differentiate w(m) with respect to m.
-54*m
Let u(q) = 32*q**3 + 4*q**2 - 55. Let k(h) = -30*h**3 - 3*h**2 + 56. Let d(b) = -5*k(b) - 4*u(b). What is the derivative of d(i) wrt i?
66*i**2 - 2*i
Let o(n) be the first derivative of 0*n**4 + 0*n**6 + 0*n**5 + 0*n + 0*n**2 + 25/7*n**7 + 4/3*n**3 + 21. Find the third derivative of o(h) wrt h.
3000*h**3
What is the third derivative of 142*c**2 + 27*c**6 - 2300*c**3 - 2305*c**3 + 4605*c**3 wrt c?
3240*c**3
Let i(u) = -59*u**2 + 13*u + 224. Let y(w) = -3*w + 1. Let k(a) = i(a) + 4*y(a). What is the first derivative of k(h) wrt h?
-118*h + 1
Differentiate 5086 - 68*f - 45*f + 5178 - 10174 with respect to f.
-113
Find the first derivative of -207 + 115*b**2 + 26*b**2 - 2*b + 201*b**2 + 2*b wrt b.
684*b
Let t = -12 + 14. Let s be 4/6 + t/6. What is the derivative of -7*g**2 + s + 2 + 2 wrt g?
-14*g
Let l(o) be the first derivative of 7*o**3 + 9*o**2/2 + 888*o + 870. Differentiate l(u) with respect to u.
42*u + 9
Let m(r) = -r**2 + r. Let w(d) = 8*d**3 + 27*d**2 - 5*d. Let k be (5*(-4 + 3))/1. Let u(a) = k*m(a) - w(a). What is the third derivative of u(x) wrt x?
-48
Let v(s) be the first derivative of -497*s**4/4 - 41*s**3/3 + 47. What is the third derivative of v(g) wrt g?
-2982
Let a(g) = -1. Let m(i) = 12*i**2 - 4. Suppose o = -4*b + 5*o + 4, -2*b = -3*o - 2. Let z(v) = b*m(v) + 4*a(v). Find the first derivative of z(h) wrt h.
24*h
Find the first derivative of -2633*d + 2633*d + 54*d**2 - 83 wrt d.
108*d
What is the second derivative of -7 + 2*r + 34*r**4 - 11*r**4 + 1 wrt r?
276*r**2
Suppose -4*o + 0 = -12. Let s be (-1 - 0 - 0) + o. Find the first derivative of 4*z**4 - s - 2*z**4 - 2 wrt z.
8*z**3
Suppose -3*s - 3*w + 15 = s, -w = -3*s + 8. Find the first derivative of 3*v**3 - 8*v**3 + v**s + 1 - 12 wrt v.
-12*v**2
Let b(c) be the third derivative of -c**7/210 + 21*c**5/20 + 37*c**4/12 - 123*c**2. What is the second derivative of b(z) wrt z?
-12*z**2 + 126
Find the third derivative of 7*k**4 + 197*k**2 - 40*k**4 - 2*k**3 + 14*k**5 + 33*k**4 wrt k.
840*k**2 - 12
Let t(o) = -3*o - 10. Let l be ((-77)/(-14))/(2/4). Let j(q) = -15*q - 50. Let z(r) = l*t(r) - 2*j(r). What is the first derivative of z(b) wrt b?
-3
Let v(y) be the second derivative of 0 - 11/3*y**3 + 23*y - 6*y**2. Differentiate v(j) wrt j.
-22
Let m(b) be the third derivative of 113*b**6/120 + 71*b**3/3 + 9*b**2 + 4*b. Find the first derivative of m(f) wrt f.
339*f**2
Let b(h) = h**2 + 5*h - 9. Let y be b(-7). Let g = y + -1. Find the second derivative of 5*p + 3*p**4 - 3*p**4 + 0*p + 4*p**g wrt p.
48*p**2
What is the second derivative of 193*b + 31*b**3 + 38*b**3 + 59*b**3 + 43*b**3 wrt b?
1026*b
Suppose 2*a + i = 0, -8*a - 4 = -4*a + 3*i. Let w = -11 - -13. Find the third derivative of p**2 - w*p**4 - 8*p**a - p**4 wrt p.
-72*p
Let t = -301 + 312. Let y(b) be the second derivative of -b**3 + 0*b**2 - 5/6*b**4 + 0 - t*b. What is the second derivative of y(i) wrt i?
-20
Let n = 27 + -23. Find the third derivative of -8*x**2 + 6*x**5 + 30*x**n - 30*x**4 wrt x.
360*x**2
Let b be (-19)/(-3) - 7/21. Differentiate -2*k + 0 - b + 10*k + 1 with respect to k.
8
Suppose -4*y - d = 5, -y + 4*d - 20 = 3*y. Let f be -1 - (1/(-1) + y). What is the second derivative of 10*t + 8*t**f + 13*t - 15*t wrt t?
16
Let z(y) be the third derivative of -y**4/24 + y**3/2 + 6*y**2. Let q be z(0). What is the derivative of -q + 3 - 5*r + 5 wrt r?
-5
Let d(u) be the third derivative of -6*u**2 + 0*u**3 + 19/24*u**4 + 0 + 0*u**5 + 0*u - 3/10*u**6. Find the second derivative of d(f) wrt f.
-216*f
Suppose -3*s = -9, -3*s = 4*f - 5*s - 14. Find the third derivative of 18*p**2 - 6*p**2 - 7 + 14*p**f + 7 wrt p.
840*p**2
What is the second derivative of 30*g**4 + 43*g**2 + 4*g**2 + 35*g**2 - 29*g**4 + 88*g wrt g?
12*g**2 + 164
Let m(h) = -3*h**3 + 9*h + 50. Let f(y) = 3*y**3 - 8*y - 49. Let v(o) = -4*f(o) - 5*m(o). Find the first derivative of v(s) wrt s.
9*s**2 - 13
Let z(k) = k**6 + k**3 + k**2 + 1. Let i(t) = 12*t**6 + t**3 - 9*t**2 + 2*t - 2. Let f(q) = i(q) + 2*z(q). Find the third derivative of f(g) wrt g.
1680*g**3 + 18
Let s(p) = 284*p**2 - 8*p - 3. Let f(m) = 570*m**2 - 17*m - 6. Let q(u) = 6*f(u) - 11*s(u). Find the second derivative of q(g) wrt g.
592
Suppose 3*u = 4*i - u - 24, -4*i = -2*u - 20. Suppose -5*y + 0 = -10. What is the first derivative of i*b - 3*b - b + 3*b**y - 6 wrt b?
6*b
Let t(d) be the second derivative of 43*d**7/21 + 50*d**3/3 + 32*d. Find the second derivative of t(h) wrt h.
1720*h**3
Let u(a) = 9*a**2 + 12*a**2 + 16*a - 4 - 15*a**2. Let y(g) = 13*g**2 + 33*g - 9. Let s(v) = 9*u(v) - 4*y(v). What is the second derivative of s(k) wrt k?
4
Let t(d) be the second derivative of 124*d**6/15 - 697*d**4/12 - 5*d + 2. What is the third derivative of t(i) wrt i?
5952*i
Find the second derivative of 16*z**3 + 86*z + 85*z - 226*z**3 wrt z.
-1260*z
Let t = 7 + -28. Let w = t + 24. Differentiate -w*r + 6*r - 3*r + 8*r**3 - 4 with respect to r.
24*r**2
Suppose -8*h + 8 + 0 = 0. Find the second derivative of -299*r**4 + 6*r - h + 22*r + 274*r**4 wrt r.
-300*r**2
Let n be (2*-1)/(28/(-42)). Suppose 4*k + v + n*v = 0, 3*k - 3*v - 12 = 0. Differentiate -9 + 11*o**2 - o**2 - k*o**2 wrt o.
16*o
Let u = -336 + 336. Let c(s) be the first derivative of 0*s + u*s**2 + 7/4*s**4 - 2/3*s**3 - 4. Find the third derivative of c(z) wrt z.
42
Let j(z) be the first derivative of -125*z**2/2 + 450*z + 284. Differentiate j(i) wrt i.
-125
Suppose l + 21 = -5*x, l + 0*x + 9 = -2*x. Let u be (1/2)/(l/(-14)). What is the third derivative of -9*z**2 - 9*z**5 + 24*z**5 - u*z**5 wrt z?
480*z**2
Let d(m) be the third derivative of -14*m**4/3 + 2*m**3 + 93*m**2. Differentiate d(o) wrt o.
-112
Let t = -47 + 48. Let y(w) = w. Let p(f) = 11*f**3 + 24*f**2 + 4*f. Let a(n) = t*p(n) - 4*y(n). Find the third derivative of a(u) wrt u.
66
Let z(b) be the second derivative of -19*b**3/6 - 2*b**2 - 10*b. Let m be z(-2). Find the second derivative of -m*p**2 - 18*p + 8*p + 32*p**2 wrt p.
-4
Suppose 3*g - 84 = -0*g. Let a be g/(-6)*24/(-28). What is the third derivative of 23*v**2 + 6*v**4 + a*v**4 - 17*v**2 wrt v?
240*v
Find the first derivative of 56*l**3 + 122*l**3 + 27*l**3 - 165 + 32 wrt l.
615*l**2
What is the third derivative of -20*c**3 + 5*c + 2*c**2 - 5*c**4 - 28*