**2 - f**3 - 83*f**2 - 12*f**6 wrt f.
-3600*f**3 - 6
Let f(r) be the second derivative of -16*r**6/15 - 5*r**3/6 - 605*r**2/2 - 882*r. Differentiate f(j) with respect to j.
-128*j**3 - 5
Suppose 0 = -7*u + u + 168. What is the second derivative of -28 + 7*h + u + 4*h + 14*h**4 wrt h?
168*h**2
Let w(q) be the second derivative of -39*q**6/10 + 40*q**4/3 + 97*q. Find the third derivative of w(l) wrt l.
-2808*l
Let h = 52 + -42. What is the third derivative of -23*p**2 - 31*p**5 - 17*p**5 + h*p**2 - 4*p**2 wrt p?
-2880*p**2
Let v(g) be the first derivative of 3 - 5*g**2 + 0*g + 0*g**3 + 3/4*g**4. Find the second derivative of v(u) wrt u.
18*u
Let o(g) be the first derivative of 5*g - 6*g - 3*g - 10*g**2 - 18 - g. Differentiate o(z) wrt z.
-20
Let s(v) = 139*v - 246. Let t(r) = 141*r - 246. Let f(q) = 6*s(q) - 7*t(q). Find the first derivative of f(m) wrt m.
-153
Suppose 10 = 2*z + 2*z + 2*w, -10 = -2*z - 2*w. Suppose v + z = 9. What is the second derivative of 3*p**4 - 2*p + v*p**4 - p - 5*p**4 wrt p?
84*p**2
Let p(g) be the first derivative of 0*g + 0*g**5 + 0*g**4 + 5 - 3/2*g**2 + 17/6*g**6 + 0*g**3. What is the second derivative of p(q) wrt q?
340*q**3
Let y(r) be the third derivative of -r**6/60 - r**4/6 + 13*r**3/2 - 148*r**2. What is the derivative of y(p) wrt p?
-6*p**2 - 4
Let j(b) = 65*b**3 + 28*b**2 - 8*b - 2. Let c(d) = 64*d**3 + 29*d**2 - 6*d - 2. Let t(y) = 4*c(y) - 3*j(y). What is the third derivative of t(l) wrt l?
366
Find the third derivative of -16*d**3 - 36*d**2 - 40*d**3 - 17*d**3 - 3*d**3 wrt d.
-456
Let m(u) be the second derivative of u**9/63 - u**5/15 - 3*u**2/2 + 2*u. Let c(s) be the first derivative of m(s). What is the third derivative of c(i) wrt i?
960*i**3
What is the third derivative of -171*c**3 + 106*c**2 + 60*c**2 - 4*c**2 + 14*c**2 wrt c?
-1026
Differentiate 27 - 78*h**3 + 6*h**3 + 51 + 180 wrt h.
-216*h**2
What is the third derivative of -5 + 126*x**4 + 5 + 311*x**2 - 85*x**4 - 3*x**6 - 72*x**4 wrt x?
-360*x**3 - 744*x
Let n(s) = 2*s**2 - 15*s - 100. Let f(c) = -c. Let r(l) = 3*f(l) - n(l). Find the first derivative of r(t) wrt t.
-4*t + 12
Let o(t) be the third derivative of -t**6/120 - 25*t**5/3 + 49*t**3/2 + 798*t**2. What is the derivative of o(l) wrt l?
-3*l**2 - 1000*l
What is the third derivative of 165*h**2 - 9666*h**6 + 9663*h**6 + 94*h**2 - 8*h**4 wrt h?
-360*h**3 - 192*h
Let w be (-6)/(-4)*(-120)/(-36). Find the first derivative of -12 + 4 + n + w wrt n.
1
Find the first derivative of -417*f**2 + 204*f**2 + 211*f**2 - 15*f + 164 wrt f.
-4*f - 15
Let l(m) be the third derivative of 59*m**8/336 + m**6/60 + 3*m**4/8 + m**3/6 + 76*m**2. What is the second derivative of l(p) wrt p?
1180*p**3 + 12*p
Suppose y = 16 - 12. Let x = 12 - 2. Differentiate -12*w**4 - x + y*w**4 + 1 with respect to w.
-32*w**3
Let y = 31 + -20. Let g = y + -9. Find the third derivative of -7*j**5 + 8*j**2 - j**g + 2*j**2 wrt j.
-420*j**2
Let v(m) = -m**4 + m**3 - m**2 - m. Let s(y) = -26*y**4 + 6*y**3 - 6*y**2 + 11*y - 1. Let k(r) = -s(r) + 6*v(r). What is the second derivative of k(x) wrt x?
240*x**2
Suppose -4*d + 8 = 4*x, -x - 3*x - 5*d = -8. Suppose -n - x*n = -15. Find the second derivative of b - 20*b**n + 22*b**5 + 5*b wrt b.
40*b**3
Let b(d) = -7*d**4 + 3*d**2 + 29*d - 6. Let t(c) = -15*c**4 + 6*c**2 + 58*c - 13. Let u(v) = -13*b(v) + 6*t(v). What is the second derivative of u(r) wrt r?
12*r**2 - 6
Suppose 14*p - 16*p = -4. What is the third derivative of -3*j**p - 6*j**5 + 4*j**5 + 7*j**5 + 4*j**2 wrt j?
300*j**2
Let t(w) = 1538*w**2 - 9*w + 2090. Let r(n) = 385*n**2 - 2*n + 522. Let x(o) = -9*r(o) + 2*t(o). Differentiate x(u) wrt u.
-778*u
Let p = -35 - -40. Find the third derivative of 29*i**4 + i**2 - 32*i**4 - p*i**2 wrt i.
-72*i
What is the derivative of 5*a + a**3 + 89 - 9*a + 5*a + 43 wrt a?
3*a**2 + 1
Suppose 2*p - p - 5 = 4*c, -c - 2*p = -10. Let h be (4 + -11)*(-1 - c). Find the second derivative of -4*r**2 - 4*r + 2*r**2 + h*r + 4*r wrt r.
-4
Let w(g) be the third derivative of -53*g**4/3 + 55*g**3/3 - 444*g**2 - 2*g. Find the first derivative of w(h) wrt h.
-424
Let g be (-8)/10 - 112/(-40). Let t(a) be the second derivative of 0 - 1/2*a**3 - a - 5/2*a**g. Find the first derivative of t(x) wrt x.
-3
Let y(z) be the first derivative of 3*z**6/10 - 5*z**4/12 - 7*z - 4. Let r(s) be the first derivative of y(s). Find the third derivative of r(m) wrt m.
216*m
What is the first derivative of 74*t - 70*t - 111*t + 49 + 29 + 15 wrt t?
-107
What is the derivative of 33 - 57*h + 110 + 60 + 83 + 46 wrt h?
-57
Let k be -14*6*(-1)/(-4). Let x = k + 25. Find the third derivative of 7*r**4 + r - 15*r**x - r + 4*r**2 wrt r.
-192*r
Suppose -2*u = -4*y + 6, 3*y - 2*y - 2*u = 9. Let t(f) = -5*f**2 + 10*f. Let w(d) = d. Let i(p) = y*t(p) - 3*w(p). Find the second derivative of i(s) wrt s.
10
Suppose u = -w + 3, 2*u + 2 = -6. What is the third derivative of w*b**6 + 7*b**2 - 2*b**2 + 3*b**6 + 7*b**2 wrt b?
1200*b**3
Let h(m) be the third derivative of 0*m**4 + 1/70*m**7 - 4/3*m**3 + 0*m**5 - 14*m**2 + 0*m + 0 + 0*m**6. Differentiate h(p) wrt p.
12*p**3
Suppose 0 = -2*h + 3*r + 20, 8 = -2*r - 2*r. Suppose -h + 1 = -2*x. What is the second derivative of -5*z + z - 23*z**x + 16*z**3 wrt z?
-42*z
Let c(u) = 8*u + 32. Let x be c(-4). Suppose -5*b - z + 46 = -5*z, -4*b - 3*z = -12. Differentiate 2 + b - 1 - 5*w + x wrt w.
-5
Differentiate 281 + 93*v**3 - 42*v**3 + 355*v**3 + 61*v**3 - 10 wrt v.
1401*v**2
Let r(s) = 252*s**4 - 9*s**3 - 65. Let f(i) = -251*i**4 + 6*i**3 + i + 64. Let h(q) = -3*f(q) - 2*r(q). What is the second derivative of h(j) wrt j?
2988*j**2
Let s(a) = a**2 - 15*a**3 - a**2 + 4*a + 10*a**3 + 7. Let h(p) = -6*p**3 + 3*p + 6. Let w(o) = 4*h(o) - 3*s(o). What is the first derivative of w(x) wrt x?
-27*x**2
Suppose 3*m - z - 20 = z, -m + 8 = -z. Suppose 0*p - 13 = d + m*p, -4 = p. Find the first derivative of -3*u**3 + 3 - 5*u**4 + 2 + d*u**3 wrt u.
-20*u**3
Let p(k) = -k**2 - 7*k - 5. Let f be p(-5). Let g = f - -1. What is the derivative of -3*v**3 + 7 + 4*v**3 + v**3 - g*v**3 wrt v?
-12*v**2
Let j(c) = 8*c**2 + 4*c + 4. Suppose -9 = -t - 10. Let b(g) = -g + 1. Let z(m) = t*j(m) - 4*b(m). What is the first derivative of z(o) wrt o?
-16*o
Let l be 14 + (-18)/4*20/(-30). Find the second derivative of l*x + 3*x - 37*x**5 + 41*x**5 wrt x.
80*x**3
Differentiate -31 + 2*f**2 + 21 - 125 + 110*f**4 - 75 wrt f.
440*f**3 + 4*f
Let b(j) be the second derivative of 16*j - 3/2*j**2 + 0 + 5/6*j**4 + 0*j**3. Differentiate b(n) wrt n.
20*n
Let j be 4/6 - (-17)/((-255)/(-50)). What is the second derivative of 31*w**4 + 111*w - 79*w + w**j wrt w?
384*w**2
What is the first derivative of 4*j**3 + 4*j**3 - 45 + 199 - 16*j**3 + 6*j**2 wrt j?
-24*j**2 + 12*j
Let i = -160 + 163. Let q(m) be the first derivative of 0*m**i + 0*m + 7/4*m**4 + 1 - 5/2*m**2. What is the second derivative of q(r) wrt r?
42*r
Suppose -6*r = -r. Suppose r*h - 4 = -h. What is the third derivative of 25*f**2 + 3*f**4 - 17*f**2 + 7*f**h wrt f?
240*f
Let y be 14/((2 + 0)/1). Find the third derivative of 4*j**2 - 12*j**6 + 9*j**2 - y*j**2 wrt j.
-1440*j**3
Let t(w) be the second derivative of 44*w**7/21 - w**5/10 + w**4/4 - 2*w + 3. Find the third derivative of t(i) wrt i.
5280*i**2 - 12
Let m(s) be the third derivative of -79*s**8/336 + 53*s**5/60 + 127*s**2. What is the third derivative of m(a) wrt a?
-4740*a**2
Let q(d) be the second derivative of 3*d**8/56 + d**5/20 - 55*d**4/12 + 12*d - 3. Find the third derivative of q(s) wrt s.
360*s**3 + 6
Let d(a) be the first derivative of 442*a**5/5 - 221*a**3/3 + 61. Find the third derivative of d(r) wrt r.
10608*r
Suppose p = 4*m + 11, -5*m - 13 = -0*p - p. Suppose y - p*y = -10. What is the third derivative of -5*a + 5*a**2 - 14*a**3 + y*a + 10*a**3 wrt a?
-24
Let g(i) be the first derivative of 0*i + 8/3*i**6 + 10 + 0*i**4 - 13/2*i**2 + 0*i**3 + 0*i**5. Find the second derivative of g(v) wrt v.
320*v**3
Suppose 13*g - 10*g = -9. Let r(s) = -38*s**3 - 4*s - 8. Let x(o) = 13*o**3 + o + 3. Let f(h) = g*r(h) - 8*x(h). Find the second derivative of f(j) wrt j.
60*j
Suppose -5*i = -6 - 4. Suppose -4*z + 14 = 2*p - 3*p, 3*p + 2*z - 14 = 0. What is the first derivative of -p*j**2 - 2*j**2 - j**i + 3 + j**2 wrt j?
-8*j
Let h(o)