m(h) = -145*h**2 - 12*h + 5. Let g(k) = -72*k**2 - 5*k + 2. Let f(p) = 9*g(p) - 4*m(p). What is the second derivative of f(v) wrt v?
-136
Suppose -20*d + 397 = 337. Let h(c) be the first derivative of -6*c + 6 + 0*c**2 - 1/3*c**d. Find the first derivative of h(z) wrt z.
-2*z
Let k(s) = -158*s**2 + 5*s - 184. Let a(v) = 78*v**2 - 2*v + 92. Let d(m) = -5*a(m) - 2*k(m). What is the derivative of d(q) wrt q?
-148*q
Find the third derivative of 2 - 2 + 271*o**4 - 571*o**2 - o + 418*o**2 wrt o.
6504*o
Let k(s) be the first derivative of -7/2*s**4 - 11*s**2 + 0*s - 38 + 0*s**3. What is the second derivative of k(g) wrt g?
-84*g
Suppose 6*a = a + 85. Find the first derivative of -7 + 5 + a - 16*g**3 wrt g.
-48*g**2
Let f(a) = -147*a**4 + 10*a**3 + 7*a**2 + 6*a - 168. Let k(o) = 2*o**3 + o**2 + o + 1. Let r(i) = f(i) - 5*k(i). What is the second derivative of r(q) wrt q?
-1764*q**2 + 4
Let c(m) be the second derivative of 0*m**3 + 2*m + 5/12*m**4 + 0 + 7/2*m**2. What is the first derivative of c(w) wrt w?
10*w
Let v(a) = -18 - 58 - 62 - 76*a + 38. Let t(n) = 25*n + 33. Let k(c) = -8*t(c) - 3*v(c). Differentiate k(r) with respect to r.
28
Let k(j) = 5*j**3 + 641*j**2 + 6*j - 671. Let h(x) = -x**3 - 2*x - 2. Let u(o) = 3*h(o) + k(o). Differentiate u(y) with respect to y.
6*y**2 + 1282*y
Let s(w) be the second derivative of -49*w**5/10 - 103*w**4/12 + 2*w - 23. What is the third derivative of s(c) wrt c?
-588
Suppose -8*k = s - 7*k - 13, 0 = 4*k - 12. What is the derivative of -35*n**3 + 35*n**3 - s - 18*n**4 wrt n?
-72*n**3
What is the second derivative of -283*w**2 + 65*w**2 - 855*w + 669*w wrt w?
-436
Let q(u) = u**3 + 18*u**2 - 19*u + 11. Let t be q(-19). What is the third derivative of t*k**2 - 20*k**5 - 40*k**2 + 16*k**2 wrt k?
-1200*k**2
Let m(i) = -i - 8*i**2 + 8*i - 7 - i**3 + 6. Let s be m(-9). Differentiate 17 - 30 - r + s with respect to r.
-1
Let q be (-3 + (-13)/(-3))/(4/12). Find the third derivative of -4*m**2 + 13*m**2 + 9*m**3 - 15*m**3 + 8*m**3 + 18*m**q wrt m.
432*m + 12
Suppose -4*r + 6 = 3*b - r, 0 = -4*b - r + 17. Suppose 4*i - 3*i - 7 = -3*x, 0 = 4*i - 4. Find the third derivative of -2*k**5 + k**x + k**2 - k**b wrt k.
-180*k**2
Let q(d) be the second derivative of 46*d**6/15 - 17*d**2/2 + 2*d - 5. What is the derivative of q(t) wrt t?
368*t**3
Let a be (4/(-7))/(8/(-28)). Let q(r) = r**2 + 3*r - 2. Let x be q(-4). Find the first derivative of 3*l**2 + 0*l**2 + 0*l**x + 7 - a wrt l.
6*l
Let u = 25 + -22. Find the second derivative of -3*x**4 + 3*x + u*x**4 - 3*x**4 + 10*x wrt x.
-36*x**2
Let u(k) = 2*k**5 + 77*k**4 - 6*k**3 - 26*k. Let g(r) = 2*r**5 + 77*r**4 - 7*r**3 - 26*r. Let n(f) = 6*g(f) - 7*u(f). Find the second derivative of n(z) wrt z.
-40*z**3 - 924*z**2
Suppose -4*m - 2*p + 33 = m, -3*m - 1 = -4*p. What is the second derivative of 111 - 5*a + 2*a - 100 - 41*a**m wrt a?
-820*a**3
Let c(o) be the first derivative of -2*o**5/5 - 3*o + 68. What is the first derivative of c(b) wrt b?
-8*b**3
Let s be (-426)/(-284) - 1/(-2). Let v(c) be the first derivative of -2 + 5*c + 0*c**s + 8/3*c**3. What is the derivative of v(m) wrt m?
16*m
Suppose 3*t = v + 146 - 367, 2*v - 2*t - 442 = 0. Find the third derivative of 4*k**6 + v*k**2 - 239*k**2 - 20*k**6 + 0*k**6 wrt k.
-1920*k**3
Let i(l) be the first derivative of -41*l**4/4 - 49*l - 173. Differentiate i(n) with respect to n.
-123*n**2
Suppose -24 = -5*u - r, -3*r = 2*u + 6 - 26. Suppose -a - u*a = -20. Differentiate 10 + 4*p - 4*p + 3*p**a - 13 with respect to p.
12*p**3
Let z(t) be the third derivative of -19*t**6/3 + 58*t**3 + 6*t**2 + 15*t. Differentiate z(k) wrt k.
-2280*k**2
Suppose 62*r = 66*r - 16. What is the derivative of -5*j**r + 22 + 20 - 33 wrt j?
-20*j**3
Let k = -7 + 5. Let o = k - -3. Differentiate o - 3*z - 2 + 3 - 5 with respect to z.
-3
Find the second derivative of 10*l + 79*l**2 - 7*l**2 - 37*l - 55*l wrt l.
144
Let l(j) be the second derivative of 0*j**5 + 0*j**3 + 0*j**2 - 1/4*j**4 - 14*j + 0 - 37/30*j**6. What is the third derivative of l(g) wrt g?
-888*g
Let g = 1 + 3. Suppose b = -5*s + 18, s - g*b + 9 = -0*s. What is the second derivative of 0*l**3 - 8*l + 14*l + 5*l**s wrt l?
30*l
Let n(d) be the first derivative of -115*d**3/3 + 2*d**2 + 2*d + 55. What is the second derivative of n(u) wrt u?
-230
Let u(i) be the second derivative of -i**5/10 - 19*i**3/6 + 62*i**2 - 450*i. What is the first derivative of u(a) wrt a?
-6*a**2 - 19
Let z(v) be the second derivative of -1/20*v**5 + 0*v**3 + 13*v + 0*v**2 + 7/6*v**4 + 0. What is the third derivative of z(a) wrt a?
-6
Let j(b) = -90*b**4 - 27*b + 207. Let t(w) = 7*w**4 + 2*w - 16. Let a = -34 - -32. Let l(o) = a*j(o) - 27*t(o). What is the derivative of l(c) wrt c?
-36*c**3
Let c(a) = -a**3 - a**2 + 1. Let z(k) = 3*k**4 + 8*k**3 + 7*k**2 - k - 5. Let t(w) = -14*c(w) - 2*z(w). What is the second derivative of t(i) wrt i?
-72*i**2 - 12*i
Let w be (-2 + (0 - (-36)/16))*0. Let t(o) be the second derivative of 0 - 3*o**2 - 3/4*o**4 + w*o**3 + 3*o. What is the first derivative of t(b) wrt b?
-18*b
Let p(a) = a - 3. Let j be p(5). Let s(f) = 2*f**3 + 10*f**2 - 3*f - 13. Let h be s(-5). Find the second derivative of b**2 - 5*b - b + j*b**h wrt b.
6
Let b(v) = 359*v + 177. Let m(l) = -180*l - 89. Let x(p) = 6*b(p) + 11*m(p). What is the first derivative of x(c) wrt c?
174
Let z(p) be the third derivative of p**9/24 - p**6/40 + 323*p**5/60 - 331*p**2. What is the third derivative of z(t) wrt t?
2520*t**3 - 18
Let f(b) = 3*b**2 - b. Let t be f(1). Suppose -14*n = -5*n - 45. Find the second derivative of 0*w**t + n*w - 2*w + w**2 wrt w.
2
Suppose 2*u - r - 10 = 0, 3*r = u - r - 12. What is the derivative of 1359 + g**4 - 1363 + 0*g**u wrt g?
4*g**3
Let n be 3/(-2)*(-180)/27. What is the derivative of 7*z - 3 + 1 + n*z wrt z?
17
Let z = -72 + 78. Let f be (-7 + 0)/((-3)/3). Differentiate -w**4 - f + z*w**2 - 6*w**2 wrt w.
-4*w**3
Find the second derivative of 6766 + 74*d - 6766 - 2*d**3 wrt d.
-12*d
Let l = -6 + 20. Find the second derivative of r**2 + l*r + 20*r**2 - r**2 - 10*r**2 wrt r.
20
Let q(y) = y**3 - 5*y**2 + 6*y - 5. Let p be q(4). Suppose 5*g + p*o - 8 = -3, -4*g - o = -11. Differentiate 3 - g*d + 5 - 2 with respect to d.
-4
Suppose 0 = -0*y - 4*y + 16. Suppose -5*p + 0*q = -q - 25, 3*q = -15. What is the second derivative of -6*o**5 + o**4 + o - y*o**p + 3*o**4 wrt o?
-120*o**3
Let v(g) be the second derivative of g**6/15 + 47*g**4/12 - 55*g**3/6 + 146*g. What is the second derivative of v(j) wrt j?
24*j**2 + 94
Let t = 16 + -13. Let s be (-1)/(-3) - (-8)/t. Differentiate 8*g + 3*g**s - 8*g + 0*g + 5 wrt g.
9*g**2
Let s(q) be the third derivative of 7*q**5/30 - 17*q**4/4 + 130*q**2. Find the second derivative of s(n) wrt n.
28
Let i(j) = -2*j**4 + 107*j**3 - 3*j**2 + 12*j + 511. Let k(n) = 5*n**4 - 321*n**3 + 8*n**2 - 32*n - 1534. Let y(b) = -8*i(b) - 3*k(b). Differentiate y(q) wrt q.
4*q**3 + 321*q**2
Suppose -19 = -4*f + t, -4*f + 7 = t + 2*t. Let b(r) = r**2 - 3*r - 2. Let s be b(f). What is the first derivative of -4*o + 2*o - s + 6*o wrt o?
4
Suppose 2 = -2*b + 14. What is the derivative of -9 - 3 - 6 + 15*j + b wrt j?
15
Let f(w) = 222*w - 546. Let g = -37 + 39. Let h(s) = -17*s + 42. Let b(q) = g*f(q) + 27*h(q). What is the derivative of b(c) wrt c?
-15
Let f(o) be the third derivative of 57*o**7/70 - 139*o**3/6 - 60*o**2 + o. What is the first derivative of f(t) wrt t?
684*t**3
Let b(r) = -103*r + 200. Let o(s) = -414*s + 805. Let z(g) = 9*b(g) - 2*o(g). Differentiate z(i) wrt i.
-99
Let m(x) = 389*x**3 + 3*x - 529. Let c(j) = 1168*j**3 + 8*j - 1589. Let n(f) = 3*c(f) - 8*m(f). Find the first derivative of n(l) wrt l.
1176*l**2
Find the first derivative of 177*z**2 + 452*z**2 + 456 + 258*z**2 wrt z.
1774*z
Suppose 0 = -p - 3*u - 7, -u + 4 = 5*p + u. Suppose -2*h + 2 = i - 2, -h - 3*i = -2. What is the second derivative of q**p + 0*q**5 - q**h - q - q**5 wrt q?
-20*q**3
Let j(m) = m + 24. Let u be j(-14). Find the third derivative of f**4 + u*f**4 - 17*f**2 - 6*f**4 + 9*f**4 wrt f.
336*f
Suppose -u = u. Suppose 17 + 23 = 8*g. What is the second derivative of u*s**4 + 2*s**5 - 3*s**g - 7*s + 0*s**4 wrt s?
-20*s**3
Let l = -20 - -22. Suppose -2*g + 29 = -r, r - 37 = -2*g + l. What is the second deriv