878*f
Differentiate 99*g**4 - 686 - 510*g**4 + 177 wrt g.
-1644*g**3
Let d(x) = 3*x**2 - 21*x + 1. Let v be d(7). What is the derivative of -84*m + m**2 + v + 84*m + 1 wrt m?
2*m
Suppose 0*w - w = -3*l - 16, -20 = -4*w + l. Differentiate 4*n + w*n - 32*n + 19 with respect to n.
-24
Let m(g) be the first derivative of -15 - 8*g + 39*g - 6*g**4 - 16*g - 9*g. Differentiate m(o) wrt o.
-72*o**2
What is the third derivative of 15 - 3*j**4 - 9 + 141*j**2 + 2*j**6 + 9*j**4 - 6 wrt j?
240*j**3 + 144*j
Suppose j - 5 = -3*q, -4*q - 15 + 0 = -3*j. Let m = q + 7. What is the derivative of m*y**3 - 1 - 3*y**3 + 3 wrt y?
12*y**2
Let z = 71 - 65. Let a(p) = -10*p**3 - 6*p - 16. Let i(f) = -31*f**3 - 17*f - 49. Let u(h) = z*i(h) - 17*a(h). Differentiate u(b) wrt b.
-48*b**2
Let g(j) be the second derivative of 23*j**7/42 + j**6/15 - j**3/3 - 42*j**2 - 27*j. Find the second derivative of g(l) wrt l.
460*l**3 + 24*l**2
Suppose -209 + 9 = 4*h. Let y be 10/(-3)*180/h. Find the second derivative of -5*m + 6*m + 4*m - y*m**4 wrt m.
-144*m**2
Let n be (-23)/((-3)/(-15)*5). Let h = 25 + n. Find the first derivative of -4*p**h - 2*p**2 + 17*p**2 - 7 - 3 wrt p.
22*p
Let u(r) be the third derivative of 0*r**5 + 0*r**3 - 1/24*r**4 + 3/40*r**6 - 10*r**2 + 0 + 0*r. Find the second derivative of u(m) wrt m.
54*m
Let s(w) be the third derivative of 1/30*w**5 + 0*w**4 + 17*w**2 - 17/210*w**7 + 0*w**6 + 0*w + 0*w**3 + 0. Find the third derivative of s(o) wrt o.
-408*o
Let u(v) be the first derivative of 8*v + 2. Let y(g) = g - 30 + 85 - 38. Let t(o) = 5*u(o) - 2*y(o). Differentiate t(h) with respect to h.
-2
Let v(s) be the third derivative of -157*s**7/105 - s**5/20 + 4*s**3/3 + 414*s**2. Find the third derivative of v(d) wrt d.
-7536*d
Let v(r) be the third derivative of 11*r**2 + 7/12*r**4 + 0 + 0*r + 3/2*r**3. Differentiate v(z) wrt z.
14
What is the first derivative of -156*w**2 - 170 - 85*w**2 - 46*w**2 + 67*w**2 wrt w?
-440*w
What is the first derivative of 4*j**4 + 419 + 15*j**3 - 15*j**3 - 7*j**4 - 72*j**4 wrt j?
-300*j**3
Let i(s) be the second derivative of -183*s**8/56 + s**5/20 - 149*s**4/12 + 73*s - 3. What is the third derivative of i(j) wrt j?
-21960*j**3 + 6
Let y be (1 + 0)*10/(-5). Let f(o) = -o**3 + 2*o + 3. Let h be f(y). What is the first derivative of -h + 11 - 3*w**4 + 7*w**4 wrt w?
16*w**3
Suppose -2*v + 4 = 3*r, -2*r - 4*v = -0 + 8. Let s be -2 - ((-80)/15)/((-2)/(-9)). What is the derivative of -s + d**r - 2*d**4 + 18 wrt d?
-4*d**3
Let x(f) = 4*f - 13. Suppose -3*d + z = -z - 10, z - 16 = -2*d. Let u be x(d). Find the first derivative of -2 + 6 + 3*m + 6*m - u wrt m.
9
Let g(x) be the third derivative of -x**7/42 - x**6/60 + 3*x**5/4 - 5*x**3/6 + 38*x**2 + x. What is the third derivative of g(v) wrt v?
-120*v - 12
Let y(c) be the second derivative of c**7/6 + c**4/4 - 7*c**3/3 - 5*c**2/2 - 680*c. Find the second derivative of y(k) wrt k.
140*k**3 + 6
Let v = -56 + 56. Let h(p) be the second derivative of 0 + 4*p + v*p**3 + p**2 + 1/12*p**4. What is the first derivative of h(a) wrt a?
2*a
Let l(u) be the second derivative of u**8/420 - 3*u**5/40 - u**3/6 + 7*u. Let j(m) be the second derivative of l(m). Find the second derivative of j(y) wrt y.
48*y**2
Let t(q) = -2*q**3 - 2*q**2 - 2*q**3 - 5 - 3*q**2 - 6*q + 3*q**3. Let g be t(-4). What is the third derivative of -b**g + 2*b**2 + b**3 - 8*b**2 + 5*b**3 wrt b?
30
Let a(z) = z**3 - 3*z**2 + 2*z - 2. Let y be a(3). Suppose w = -3*l + 1, -4*w + 17 = -5*l - y. Find the second derivative of k**4 - 4*k - k - 2*k**w wrt k.
-12*k**2
Let g be (15/(-6))/((-6)/12). Suppose -477 - 1398 = -g*i. What is the second derivative of -11*p - 13*p**4 - 375*p**3 + i*p**3 wrt p?
-156*p**2
Suppose 3*v - 39 = 21. What is the third derivative of -14*z**4 + 26*z**2 + v*z**2 - 68*z**2 wrt z?
-336*z
Suppose m + 29 = i + i, i = -2*m - 48. Let b be (-10)/m - 8/(-5). Find the second derivative of 14*c - 7*c**b + 7*c**2 + 4*c**4 wrt c.
48*c**2
Let t(a) be the first derivative of 9*a**5/20 + 8*a**3/3 + 3*a - 12. Let f(u) be the first derivative of t(u). What is the second derivative of f(c) wrt c?
54*c
Suppose 376 = 10*y - 2*y. What is the second derivative of 29*f - y*f + 39*f + 18*f**4 wrt f?
216*f**2
Let f be 3/2 - 6/(-4). Suppose -2*o = -4*u - f*o + 7, 0 = -2*u + 5*o + 31. What is the first derivative of 1 + 3 + 7*z**u - 2*z**3 wrt z?
15*z**2
Let a(u) be the second derivative of -37/42*u**7 - 21*u + 0*u**3 + 0*u**5 + 0*u**2 + 0 + 1/12*u**4 + 0*u**6. Find the third derivative of a(l) wrt l.
-2220*l**2
Let w = -4 + 21. Suppose 23 = 5*m - w. Differentiate -4 + 0 + 9*l**3 - m*l**3 with respect to l.
3*l**2
Let c(v) be the first derivative of 421*v**3/3 - 490*v - 562. What is the first derivative of c(u) wrt u?
842*u
Let d(w) = -352*w**3 - 22*w**2 + 14*w - 11. Let h(m) = 353*m**3 + 22*m**2 - 12*m + 9. Let p(q) = -6*d(q) - 7*h(q). What is the third derivative of p(y) wrt y?
-2154
Let g(n) = 40*n**2 + 20. Let l(t) = t**2 + 1. Suppose 0*y + 2 = -2*y. Let o(p) = y*g(p) + 25*l(p). What is the first derivative of o(i) wrt i?
-30*i
Let q be (15/(-6))/(-1 - 12/(-8)). Let o(a) = 8*a**2 - 109. Let k(n) = -5*n**2 + 73. Let c(f) = q*o(f) - 7*k(f). Find the first derivative of c(i) wrt i.
-10*i
Let w = 28 + -37. Let p be (-5 - w) + 2 + -3. What is the third derivative of -p*b**2 + 3*b**3 + 2*b**2 + b**2 - 5*b**2 wrt b?
18
Suppose 19*y = 20*y - 8. What is the derivative of 0*z**4 - y*z**4 - 4 + 2 wrt z?
-32*z**3
Suppose 2*i = -4*x + 30, -5*i + 27 + 12 = x. Let y(t) = -6*t + 47. Let r(g) = -4*g + 31. Let q(l) = i*r(l) - 5*y(l). What is the derivative of q(v) wrt v?
2
Let c(z) be the first derivative of 112*z**2 + 15*z - 8. Differentiate c(r) wrt r.
224
Suppose -5*x - 5 - 1 = p, x = -2. Find the second derivative of 5*q**p - 6*q**5 - 9*q**4 + 4*q**4 + 9*q wrt q.
-120*q**3
Let m(l) be the second derivative of 11*l**6/180 + 3*l**4/8 + l**3/6 - 5*l. Let i(h) be the second derivative of m(h). What is the derivative of i(c) wrt c?
44*c
Let q(j) be the first derivative of -j**6/3 - 80*j**5 - j**2 + 66*j - 440. Find the second derivative of q(b) wrt b.
-40*b**3 - 4800*b**2
Let b(j) = -7*j**2 - 11*j + 198. Let o(v) = 7*v**2 + 9*v - 198. Let z(q) = -2*b(q) - 3*o(q). Find the first derivative of z(d) wrt d.
-14*d - 5
Let r(l) be the third derivative of l**9/63 - l**6/30 + 43*l**5/20 - l**3/2 + 7*l**2 + 16*l. What is the third derivative of r(x) wrt x?
960*x**3 - 24
Let b(y) be the first derivative of -2*y**6/3 + 4*y**5/5 - 119*y**3 - 156. Find the third derivative of b(u) wrt u.
-240*u**2 + 96*u
Suppose 22*j - 8*j - 532 = 0. What is the third derivative of -j*c**4 + 46*c**2 + 7*c**5 + 39*c**4 + 16*c**5 - 6*c**5 wrt c?
1020*c**2 + 24*c
Let x be (1 - 1)/(0 - 2). Let s(n) be the second derivative of 0*n**5 + 0 - 1/10*n**6 - n + n**2 + 0*n**4 + x*n**3. What is the first derivative of s(d) wrt d?
-12*d**3
Let u = -5 - 2. Let b = u + 9. Let d(z) = 21*z**3 - 11*z**2 - 15. Let w(a) = -4*a**3 + 2*a**2 + 3. Let s(y) = b*d(y) + 11*w(y). Differentiate s(c) wrt c.
-6*c**2
Let h = -731 + 731. Let z(n) be the first derivative of 0*n + 0*n**4 + h*n**3 + 7/2*n**2 - 1 + 1/3*n**6 + 0*n**5. Find the second derivative of z(b) wrt b.
40*b**3
Let k be 22/(-33) + 14/3. Suppose 4*b = -4*a + 24, -k*a - 2*b + 21 = -1. Differentiate 1 - a + 0 - 1 + 5*j**2 with respect to j.
10*j
Let y(n) be the second derivative of -n**5/4 - 7*n**4/24 + 5*n**2/2 + 11*n. Let x(q) be the first derivative of y(q). Find the second derivative of x(m) wrt m.
-30
Let a(t) = t**3 - 17*t**2 + 16*t + 2. Let v be a(16). Differentiate -7*h**v - 6 - 5*h**2 + 2 - h**2 wrt h.
-26*h
Let m(q) = -22*q**3 + q. Let a be m(-1). Let s = 26 - a. Find the third derivative of 4*g**6 - 8*g**6 + 11*g**2 - s*g**6 wrt g.
-1080*g**3
Suppose -q - 12 = 3*f, q - 4*f = 4*q + 11. Find the first derivative of -3 + 2*s**2 + 6 + q + 14*s**2 wrt s.
32*s
What is the third derivative of -829*s**6 + 321*s**6 + 15230*s**2 - 15202*s**2 wrt s?
-60960*s**3
Let f(m) = -m + 41. Let l be f(24). Differentiate -l*c - 21 + 8 + c with respect to c.
-16
What is the third derivative of -3 + 32*u**3 + 3 + 75*u**2 + 14*u**3 wrt u?
276
What is the third derivative of -10*s**6 + 6 - 4*s**5 - 4*s**6 - 5 - s**2 + 5*s**6 wrt s?
-1080*s**3 - 240*s**2
What is th