 l(c) = -c**3 - 10*c**2 + 5. Suppose 12*m - 50 = 17*m. Let u be l(m). Find the second derivative of -6*o + u*o**5 + 3*o - 7*o + o**5 wrt o.
120*o**3
Let l = -702 - -710. Let u(n) be the first derivative of 0*n**3 + 6*n + 3/2*n**4 - l + 0*n**2. Differentiate u(p) wrt p.
18*p**2
Differentiate 170 - 47*p**3 + 41*p**3 - 110*p**3 - 106*p**3 + 45*p**3 wrt p.
-531*p**2
Let j(o) be the second derivative of o**9/1080 + o**5/30 - o**4/3 - 6*o. Let y(l) be the third derivative of j(l). Differentiate y(f) with respect to f.
56*f**3
Let b(j) = -4*j + 5. Let n = -1 - -5. Let t(m) = 7*m - 37 + 66 - 38 + m**2. Let k(h) = n*t(h) + 7*b(h). Find the first derivative of k(u) wrt u.
8*u
Let h(u) = 2*u**3 - 33*u**2 - 343*u + 36. Let o(y) = 6. Let b(d) = -h(d) + 6*o(d). Find the second derivative of b(a) wrt a.
-12*a + 66
Suppose 0 = u - 6*u. Differentiate 3*j**2 + u*j**2 - 1 - 2 + 3*j**2 wrt j.
12*j
Let s(k) be the third derivative of k**8/336 - k**5/3 + k**4/12 + 131*k**2. Find the second derivative of s(q) wrt q.
20*q**3 - 40
Differentiate -78 + 4 + 63*w**4 - 5*w**3 - 192 + 5*w**3 - w with respect to w.
252*w**3 - 1
Let h(s) = -2*s**2 + 42*s - 42*s + s**2. Let d(t) = -31*t**3 - t**2 - 29. Let c(l) = d(l) - h(l). What is the derivative of c(k) wrt k?
-93*k**2
Find the third derivative of -91*h**5 - 14*h**2 - 74*h**2 - 17*h**5 + 25*h**5 wrt h.
-4980*h**2
Let z(w) = 7*w**3 + w**3 + 604 - 584 - 26*w**4. Let n(q) = 9*q**4 - 3*q**3 - 7. Let i(j) = 8*n(j) + 3*z(j). Find the first derivative of i(u) wrt u.
-24*u**3
Let b(p) be the third derivative of 27*p**2 + 0*p**4 + 0 + 0*p - 11/30*p**5 + 11/2*p**3. What is the derivative of b(d) wrt d?
-44*d
Find the second derivative of 46 + 52 + 13*m**2 - 3*m**5 - m**5 - 99 - m**5 - 5*m wrt m.
-100*m**3 + 26
Let n(c) be the third derivative of -11*c**6/10 + c**5/30 + c**3 - 23*c**2. What is the third derivative of n(z) wrt z?
-792
Suppose -2*f + 3*d + 11 = 0, 5 + 6 = 3*f + d. Find the second derivative of -30*p**f + 26*p**4 + 2*p - 6*p wrt p.
-48*p**2
Let n(q) be the third derivative of 11*q**7/15 + 49*q**5/12 - 20*q**2. What is the third derivative of n(x) wrt x?
3696*x
Let c = -16 + 8. Let j = c + 13. What is the third derivative of -13*m**j + 13*m**5 - 3*m**6 + 2*m**2 wrt m?
-360*m**3
Let n(i) be the first derivative of 14*i**3 - 19*i + 64. What is the first derivative of n(p) wrt p?
84*p
Suppose -20*i + 19*i = 6. Let c be (2 + -2)/(-5 - i). Find the second derivative of -61*w**3 - 4*w + 63*w**3 + c*w wrt w.
12*w
Find the third derivative of -8*p**2 + 2*p**2 + 50*p**3 + 16 + 9*p**2 - 7*p**3 wrt p.
258
Let l = -2 - -4. Let h = l + 2. What is the second derivative of 0*a**3 - h*a - a + 5*a**3 + 2*a wrt a?
30*a
Let c(z) be the first derivative of 49*z**6/3 - 85*z**2/2 + 53. What is the second derivative of c(o) wrt o?
1960*o**3
Let l(b) = b**3 - 2*b**2 - 2*b - 3. Let q be l(3). Let r be q/1 - (-18 + 16). What is the third derivative of 3*t**4 + t**4 - 15*t**2 + 10*t**r wrt t?
96*t
Let t(q) be the first derivative of -q**8/336 - q**4/6 - 13*q**2/2 - 13. Let h(w) be the second derivative of t(w). What is the second derivative of h(d) wrt d?
-20*d**3
What is the second derivative of -24*i - 9*i**4 - 58 + 58 - 16*i**4 wrt i?
-300*i**2
Find the third derivative of 39*w**2 - 14*w**2 + 336*w**3 - 288*w**3 - 177*w**2 wrt w.
288
What is the second derivative of -41 + 41 + 599*o**2 - 940*o + 365*o wrt o?
1198
Let v = 12 + -22. Let x be (3/6*v)/(-1). Find the second derivative of 4*i + 5*i + x*i**5 - 3*i**5 wrt i.
40*i**3
Let f = -22 + 25. Suppose -3*c + 33 = f*x - 6*c, 3*x - c = 33. Differentiate x*a - 4*a + 0 - 6 with respect to a.
7
Let j(q) = -84*q**3 + 686*q**2 - 5*q - 5. Let x(l) = -85*l**3 + 685*l**2 - 4*l - 4. Let u(c) = 4*j(c) - 5*x(c). Find the third derivative of u(b) wrt b.
534
Let k = -2 + 5. Find the first derivative of 21*r**2 - 3 + 1 - 5*r**2 - k wrt r.
32*r
Let j(d) = -50*d**5 - 12*d**4 + d**2 + 6*d + 4. Let r(w) = 49*w**5 + 10*w**4 - 5*w - 3. Let z(i) = 5*j(i) + 6*r(i). Find the third derivative of z(x) wrt x.
2640*x**2
Suppose -2*f = -2*j + 4, -j - 14 = -3*f - 2*j. Find the second derivative of 13*m + 12*m**3 - 12*m**3 - f*m**5 - 16*m**5 wrt m.
-380*m**3
Let s(v) be the second derivative of 98*v**6/15 - 7*v**3/6 + 3*v**2/2 + 2*v + 263. What is the second derivative of s(l) wrt l?
2352*l**2
Let k(y) = y**3 - y**2 + y + 1. Let j(a) = -57*a**3 - 4*a**2 + 5*a + 22. Let c(u) = -j(u) + 6*k(u). What is the second derivative of c(h) wrt h?
378*h - 4
What is the derivative of 183 - 122 - 241 + 68*p wrt p?
68
Find the second derivative of -124*f**2 + f**2 + 56*f**2 - 7*f - 23*f**2 wrt f.
-180
What is the second derivative of -927*w**2 - 182*w + 132*w**2 - 282*w + 143*w wrt w?
-1590
Let f(w) = -4*w. Let x(l) = -437*l - 497. Let z(r) = 6*f(r) - x(r). What is the derivative of z(q) wrt q?
413
Let f = -10 - -17. Find the third derivative of -4*m**2 - f*m**3 - 5*m**3 + 5*m**2 wrt m.
-72
Let y(z) = -45*z**3 - 6*z**2 + 16*z + 5. Let g(d) = -d**2 - d + 1. Let c(m) = 5*g(m) - y(m). Find the third derivative of c(f) wrt f.
270
Suppose -2*l + 7 + 9 = 0. Let m(p) = 4*p - 4. Let r be m(2). Differentiate 12 - x**r - 10 + l wrt x.
-4*x**3
Differentiate 7*h**4 - 17*h**4 + 134*h - 36 + 6*h**4 + 5*h**4 + 203 wrt h.
4*h**3 + 134
Let u(a) be the first derivative of 7*a**5/10 + 25*a**2/2 + 27*a + 22. Let q(h) be the first derivative of u(h). Differentiate q(l) with respect to l.
42*l**2
Let z = -51 + 55. Find the second derivative of -3*u**4 + 2*u**4 - 11*u**z + 2*u + u wrt u.
-144*u**2
Let n(g) = 2*g**2 - 2*g - 1. Let v be n(2). Suppose 0 = 5*w + 5*o - 2 - 3, -5*o = 4*w - v. Find the third derivative of r**2 - r**3 + w*r**5 + r**3 wrt r.
120*r**2
Let w(t) be the first derivative of -9 + 28*t - 21 + 1103*t**3 - 1096*t**3. What is the derivative of w(x) wrt x?
42*x
Let u(p) be the second derivative of 0*p**2 + 1/6*p**3 + 0 - 5*p - 13/12*p**4. Find the second derivative of u(m) wrt m.
-26
Suppose -8 = -v - 4*r + 6, 6 = 2*v - 3*r. Suppose 0 = l - s + 2*s - 1, 2*l = -s + 4. Find the second derivative of -l*u**4 + 6*u**4 + v*u - 9*u**4 wrt u.
-72*u**2
Let r(z) = -z + 8. Let u be r(7). Let p be 7/u - 4 - -1. What is the second derivative of 8*m + 3*m**p + 0*m**4 + 3*m**4 wrt m?
72*m**2
Suppose -40 = -8*c + 3*c. What is the first derivative of c + 20*v + 11*v**2 - 20*v wrt v?
22*v
Let n(s) = 57*s + 117. Let q be n(-2). Let m(i) be the first derivative of 1/2*i**2 + 0*i - 5/3*i**q - 12. Find the second derivative of m(w) wrt w.
-10
Let s(v) be the first derivative of 49*v**5 + v**4/2 + 418*v**2 + 120. Find the second derivative of s(f) wrt f.
2940*f**2 + 12*f
Find the third derivative of 183*j**2 + 238*j**2 + 195*j**3 - 156*j**3 + 211*j**3 wrt j.
1500
Let m be 21/(-9) + 2/6. Let z be 16/(-24)*21/m. Find the third derivative of -2*s**6 + z - 2*s**6 - 7 - 11*s**2 wrt s.
-480*s**3
Let p(x) be the first derivative of 115*x**4/2 + 645*x + 367. Find the first derivative of p(q) wrt q.
690*q**2
Find the second derivative of 5*t - 33*t - 21*t - 63*t**5 wrt t.
-1260*t**3
Let f(u) = -9*u - 2. Let c be f(-1). What is the derivative of -c*x**2 + 0 + 3 - 2 + 9 wrt x?
-14*x
Let s = -21 + 20. Let f(z) = 42*z**2 - 2*z + 12. Let w(m) = m**2 - m - 1. Let k(r) = s*f(r) + 2*w(r). Differentiate k(x) wrt x.
-80*x
Let a(d) = -31*d - 28. Let u = 61 + -69. Let i(k) = -47*k - 42. Let x(c) = u*a(c) + 5*i(c). Differentiate x(o) with respect to o.
13
Suppose 2 = -r - 5*y - 6, -3*y = -5*r + 100. What is the second derivative of -r*d**5 + 17*d + 11*d**4 - 11*d**4 + 0*d wrt d?
-340*d**3
Suppose -1 = -3*t + 5*s, 0 + 3 = t + s. Differentiate 10 + 20*m + 17 - 27*m + t*m**3 with respect to m.
6*m**2 - 7
Suppose m + o = 460, 2*m - o - 4*o = 899. Differentiate -m + 2*x + 2*x + 427 wrt x.
4
Let r(n) be the second derivative of 13*n**4/12 - 11*n**3/3 + 3*n - 1. What is the second derivative of r(o) wrt o?
26
Let y(i) = 1. Let f(a) = 9*a**2 + 2*a + 13. Let g(k) = f(k) - 3*y(k). Let o(r) = -r**2 - r - 1. Let x(p) = g(p) + 4*o(p). Differentiate x(m) wrt m.
10*m - 2
Let y(n) = -464*n**2 - 235. Let c(t) = 929*t**2 + 472. Let m(f) = 3*c(f) + 7*y(f). Differentiate m(v) with respect to v.
-922*v
Let v = -41 - -46. What is the second derivative of 3*i + i**2 - 8*i + 3*i**2 - v*i wrt i?
8
Let j = 322 - 318