f v**6/120 + 7*v**5/60 + 31*v**3 + 216*v**2. Find the first derivative of a(o) wrt o.
3*o**2 + 14*o
Differentiate -197*m**4 - 19 - 335*m**4 + 74 + 323*m**4 with respect to m.
-836*m**3
Suppose 0 = -3*k + 5*b + 369, -k + 34 = b - 97. Find the first derivative of o**3 + 3 + 128*o - k*o wrt o.
3*o**2
Let q(u) be the third derivative of -119*u**4/6 - 70*u**3/3 + 215*u**2 - 2*u. Find the first derivative of q(d) wrt d.
-476
What is the third derivative of 728*w + 736*w - 3*w**3 - 3*w**2 - 48*w**6 + 0*w**3 - 1445*w wrt w?
-5760*w**3 - 18
Suppose -d - d + 3*r + 13 = 0, 2*r = -6. What is the third derivative of 5*q**d + 2*q**2 + 7*q**3 - 10*q**3 wrt q?
-18
Suppose 7 + 2 = -3*p. Let r(z) = 19*z**2 + 6*z - 3. Let d(q) = 38*q**2 + 11*q - 7. Let g(x) = p*d(x) + 7*r(x). What is the second derivative of g(c) wrt c?
38
Let x = 35 + -38. Let y(s) = -s + 9. Let z(l) be the third derivative of -l**3/6 + l**2. Let g(f) = x*z(f) - y(f). Find the first derivative of g(d) wrt d.
1
Differentiate -29*l + 33 - 35*l - 136 with respect to l.
-64
Let v(o) be the third derivative of 0*o**4 + 0*o**3 + 2/35*o**7 + 7*o**2 - 1/15*o**5 + 0 + 0*o**6 + 0*o. Find the third derivative of v(r) wrt r.
288*r
Suppose -5*f = -25, 3*c - 31 = -0*c - 5*f. Differentiate 10 + 7 - 9 + c*w**2 wrt w.
4*w
Let v(k) = -495*k - 99. Let h(j) = 1973*j + 396. Let u(r) = -2*h(r) - 9*v(r). Find the first derivative of u(d) wrt d.
509
Let u = 0 + 1. Let b(k) = -k**2 + k + 1. Let w(h) = -10*h**2 - 2*h + 8. Let l(i) = u*w(i) + 2*b(i). Differentiate l(q) wrt q.
-24*q
Let z(y) = y**2 + 7*y + 14. Let b be z(-3). Differentiate -37 + 58*w - 4*w**b + 5*w**2 - 58*w with respect to w.
2*w
Let p(c) be the first derivative of c**5/8 + 3*c**4/8 - 4*c**3 + 1. Let q(d) be the third derivative of p(d). Differentiate q(u) with respect to u.
15
Let f(y) be the first derivative of -y**5/5 + 238*y**3/3 - 137*y**2/2 - y + 175. Find the second derivative of f(n) wrt n.
-12*n**2 + 476
What is the third derivative of 37*z**4 + 313*z + 120*z**2 - 189*z**4 - 311*z wrt z?
-3648*z
Find the first derivative of -155 + 148*c**2 - 25*c**2 - 58*c**2 - 65*c**2 - 68*c**2 wrt c.
-136*c
Let t(z) = 2*z**3 - 10*z**2 - 12*z + 6. Let m be t(6). Find the third derivative of 14*v**2 - v + 8*v - m*v + 55*v**6 wrt v.
6600*v**3
Suppose 13*v - 10 - 42 = 0. What is the third derivative of 4*a**v - 13*a**2 - 27*a**2 + 14*a**4 wrt a?
432*a
Suppose -3*v + 37 = 4*d, -6*v = -v - 4*d - 19. What is the third derivative of -v*z**2 + 7*z**4 - 10*z**4 - 7*z**4 wrt z?
-240*z
What is the second derivative of 24*p**3 - 5 + 4*p + 5*p**2 + 19*p**3 - 5*p**2 wrt p?
258*p
Let f = -34 - -36. Find the third derivative of -2*i**3 + 0*i**2 - 2*i**f - 2*i**3 wrt i.
-24
Suppose 4*z - 12 = 2*c, -c - 4*z + 1 = 7. Let g be 15/c*(-1 - 1). Find the third derivative of -2*p**5 + 0*p**5 + 7*p**g - 2*p**2 wrt p.
300*p**2
Let z(i) = -78*i + 486. Let y(u) = -u - 1. Let q(n) = -2*y(n) - z(n). Find the first derivative of q(h) wrt h.
80
Let z(y) be the second derivative of -119*y**4/6 + 349*y**3/6 + 63*y + 2. What is the second derivative of z(a) wrt a?
-476
What is the first derivative of 24*h**2 - 72 - 64 - 187*h**2 - 100*h**2 wrt h?
-526*h
Let l(j) be the second derivative of 16*j**6/15 - 57*j**2/2 + 2*j - 33. Find the first derivative of l(h) wrt h.
128*h**3
Let g(r) be the third derivative of -r**9/504 - 41*r**8/112 - 29*r**5/5 + 579*r**2. What is the third derivative of g(i) wrt i?
-120*i**3 - 7380*i**2
Let f(d) be the second derivative of 18*d**6/5 - 5*d**4/4 + d**3/2 + 129*d. What is the third derivative of f(l) wrt l?
2592*l
Find the second derivative of -186*u**3 + 214*u**3 - 38*u + u wrt u.
168*u
Let u(z) be the third derivative of 0 + 2*z**3 + 0*z + 8*z**2 - 29/24*z**4. Differentiate u(d) wrt d.
-29
What is the second derivative of -163*z**2 + 19*z + 4*z - 8*z + 6*z + 24*z wrt z?
-326
Let k(y) be the third derivative of 0*y**3 - 24*y**2 + 0*y**4 + 0 + 1/8*y**6 - 19/60*y**5 + 0*y. What is the third derivative of k(a) wrt a?
90
Suppose -3*w + i = -71, 5*i + 19 = -4*w + 82. Find the second derivative of -12*c**4 + 45 - 23 - w + 11*c wrt c.
-144*c**2
Let k(c) = 5*c**2 + 17*c. Let h = 83 + -82. Let y(a) = -a**2 + a. Let f(v) = h*k(v) - 2*y(v). What is the second derivative of f(t) wrt t?
14
What is the second derivative of -7*z - 5*z - z + 138*z**2 + 12*z - 200 + 2*z wrt z?
276
Let x = -1 - -2. Suppose -3 = -s + x. Find the first derivative of 1 + 0 + s*z**3 + 4 wrt z.
12*z**2
Find the third derivative of -51*w**2 + 3*w**3 + 17*w**2 - 131*w**6 - 3*w**3 + 2 - 32*w**2 wrt w.
-15720*w**3
Let k = -23/2 + 15. Let q(z) be the first derivative of -k*z**2 + 0*z**3 + 0*z + 9 - 3/2*z**4. What is the second derivative of q(w) wrt w?
-36*w
Let n = -7 + 10. Suppose -4*j + 0*j + 24 = -n*w, -2*j - 5*w = 14. What is the first derivative of 1 - a**4 + 6*a**4 + j wrt a?
20*a**3
Let i(m) be the first derivative of -m**8/560 - m**5/12 + 5*m**3/3 + 15. Let j(w) be the third derivative of i(w). What is the second derivative of j(x) wrt x?
-36*x**2
Suppose 4*n - 9 - 4 = -m, 5*n - 52 = -4*m. Let x = m - 10. Find the second derivative of a + 6*a**x + 2*a**3 - 2*a**3 - a**3 wrt a.
30*a
Let i(w) be the first derivative of 7*w**3/6 - w**2/2 + 8*w + 8. Let m(k) be the first derivative of i(k). Differentiate m(j) wrt j.
7
Let o(k) be the second derivative of -9*k + 0*k**5 + 1/2*k**2 + 0*k**4 - 1/10*k**6 + 0 + 0*k**3. What is the first derivative of o(b) wrt b?
-12*b**3
Let p(b) be the second derivative of -b**7/42 - b**5/10 + 7*b**4/3 - b**3/6 - 3*b - 17. Find the third derivative of p(m) wrt m.
-60*m**2 - 12
Let k(z) = 11*z**2 - 12*z + 7. Let s(j) = 11*j**2 - 11*j + 5. Let f(p) = -2*k(p) + 3*s(p). What is the second derivative of f(n) wrt n?
22
Let h(q) = -31*q**2 - 18. Let w be (8/(-2) - -9)/(-1). Let f(r) = -63*r**2 - 36. Let a(g) = w*h(g) + 2*f(g). What is the first derivative of a(t) wrt t?
58*t
Suppose 9*d - 48 = 5*d. Find the second derivative of 14 + 17*a**2 + d*a + 6*a - 14 wrt a.
34
Let o(d) = 213*d**3 - 11*d**2 - 23. Let m(l) = -106*l**3 + 5*l**2 + 11. Let k(v) = -13*m(v) - 6*o(v). What is the third derivative of k(z) wrt z?
600
Let r be (4/(-7))/((-2)/7). Let l be 2/r + 9 + -7. Differentiate -2*n**2 - 5 + 1 + 2*n**2 + 5*n**l with respect to n.
15*n**2
Let w(k) = -k**3 + 38*k**2 - 71*k - 33. Let d be w(36). Suppose 8 = 4*q - 0. What is the third derivative of 3*y**q + 0*y**d + 10*y**5 + 0*y**3 - 4*y**5 wrt y?
360*y**2
Let n(m) = -m**2 + 12*m - 9. Let y be n(11). Find the third derivative of -4*z**3 + y*z**2 + 0*z**3 - 5*z**3 wrt z.
-54
Let a(k) be the third derivative of -46*k**7/35 - 25*k**4/8 + 324*k**2. Find the second derivative of a(q) wrt q.
-3312*q**2
Let k(y) be the second derivative of -3/2*y**3 + 4/3*y**4 + 0 + 0*y**2 + 12*y. What is the second derivative of k(m) wrt m?
32
Suppose -10 + 73 = 3*c. Suppose 0 = -3*t + 5*q - 10, q - c - 9 = -5*t. Differentiate 3 - 3*l + 0*l - t - 3 wrt l.
-3
Let w(d) be the first derivative of 5*d**2/2 - 185*d - 28. What is the first derivative of w(u) wrt u?
5
Let a(f) = -125*f**2 + 5*f + 18. Let g(j) = -j**2 + 2*j + 2. Let i(s) = a(s) - 5*g(s). Find the second derivative of i(y) wrt y.
-240
Let x = -7 - -10. Let o = -23 - -29. Find the second derivative of -2*q**x - q**4 + o*q**3 + 7*q - 4*q**3 wrt q.
-12*q**2
Let d be (-5)/(-3) - 4/(-12). Find the third derivative of 36*r**d - 108*r**2 + 29*r**3 + 47*r**2 wrt r.
174
Let y(u) = 16*u**3 + 3*u**2 - 113*u + 3. Let i(p) = -16*p**3 - 4*p**2 + 113*p - 4. Let j(f) = 3*i(f) + 4*y(f). What is the second derivative of j(m) wrt m?
96*m
What is the second derivative of 4 + 385*p + 11*p**2 + 2*p**2 - 21*p**5 + 0 - 4 wrt p?
-420*p**3 + 26
Let u(r) be the second derivative of 2*r**4/3 - 7*r**3/3 + 2*r. Let v(s) = s**2 + s. Let b(g) = u(g) + 3*v(g). Find the second derivative of b(y) wrt y.
22
Let w = -6899/30 - -230. Let s(b) be the second derivative of -2*b + 0*b**5 - w*b**6 + 0*b**3 + 0 + 0*b**4 + 5/2*b**2. Differentiate s(k) wrt k.
-4*k**3
Suppose 10 = 2*a + 3*b - 0*b, 4*b - 6 = a. Find the third derivative of -4*c**5 + 14*c**2 - 8*c**a - 20*c**2 wrt c.
-240*c**2
Let v(b) = -23*b - 27*b - b**3 - 1 + 7*b**2 + 45*b. Let y be v(6). Find the second derivative of 9*o - 151*o**2 + y*o**3 + 151*o**2 wrt o.
30*o
Let t(n)