1 - 4044*r + 4460*r + 561*r**3 wrt r.
3366*r
Find the third derivative of 200*v**5 + 4*v - 4*v - 96*v**2 + 488*v**2 wrt v.
12000*v**2
Let o = 30 - 22. Let y = -5 + o. Find the third derivative of n**3 - 6*n**3 + 4*n**y + 12*n**2 + 4*n**3 wrt n.
18
Suppose -33*g + 9 + 189 = 0. Let b(k) = -k**2 + 5*k + 2. Let w be b(5). Find the second derivative of w*a**3 + g*a**5 - 12*a**3 + 10*a**3 + 9*a wrt a.
120*a**3
Let l(v) = -3*v**2 - 11*v + 207. Let j(c) = -3*c**2 - 5*c + 103. Let m(w) = -13*j(w) + 6*l(w). Find the first derivative of m(k) wrt k.
42*k - 1
Let r(k) be the third derivative of -k**7/70 - k**5/60 - 187*k**4/24 + 9*k**2 - 8*k. Find the second derivative of r(i) wrt i.
-36*i**2 - 2
Let y = 1 + 3. Suppose -y*c = -3*c - 12. Differentiate 11 - 22 + 4*f + c with respect to f.
4
What is the third derivative of -5 - 4*w**2 + 5630*w - 3*w**3 - 5630*w + 4*w**5 wrt w?
240*w**2 - 18
Let w(f) be the first derivative of 147*f**4/2 - 260*f**3/3 + 39. Find the third derivative of w(o) wrt o.
1764
Suppose 138*v = 136*v + 4. What is the second derivative of 12*q - 10*q**2 - v + 26*q**2 + 8*q**2 + 1 wrt q?
48
Suppose 0 = 3*c - 8 - 10. Suppose g + c = 2*g - 3*t, 4*t = 2*g - 10. What is the third derivative of 31*f**4 - 7*f**2 + g - 3 - 26*f**4 wrt f?
120*f
Let f = 1287 + -1278. Let r(y) be the first derivative of -5/2*y**2 - 8/3*y**3 + 0*y + f. Find the second derivative of r(o) wrt o.
-16
What is the third derivative of -14105 - 40*o**2 + 14105 + 24*o**2 - 4*o + 785*o**3 wrt o?
4710
Let c(b) be the first derivative of b**8/28 + b**5/6 + 13*b**2 - 13. Let x(l) be the second derivative of c(l). Find the third derivative of x(m) wrt m.
720*m**2
Let x(i) be the second derivative of -1/4*i**4 - 14*i + 0 + 7/6*i**3 + 0*i**2. Find the second derivative of x(z) wrt z.
-6
Let w = 6 - 4. Let r = -1 - -3. Differentiate 3 + y**w - 3*y**2 - r - 2*y**2 wrt y.
-8*y
Let l(u) = 20*u**3 - 7*u**2 + 4*u + 4. Let w(d) = -40*d**3 + 13*d**2 - 8*d - 9. Let q(f) = -7*l(f) - 4*w(f). What is the second derivative of q(c) wrt c?
120*c - 6
Let u(d) be the third derivative of -111*d**8/56 + 95*d**4/8 - 569*d**2. What is the second derivative of u(p) wrt p?
-13320*p**3
Let l(r) be the third derivative of -17*r**6/20 + 259*r**4/24 + 232*r**2. What is the second derivative of l(m) wrt m?
-612*m
Let h(j) = 2*j - 1. Suppose 0 = -5*i + 9 + 1. Let b(s) = -7*s + 3. Let q(m) = i*b(m) + 9*h(m). Differentiate q(c) wrt c.
4
Let r(j) = -178 + 99*j + 85 + 90. Let a(y) = -49*y + 2. Let x(z) = 7*a(z) + 3*r(z). Differentiate x(n) wrt n.
-46
What is the derivative of 24*i + 68 - 103 + 4*i**2 - 3*i**2 wrt i?
2*i + 24
Let l(z) be the first derivative of 43/5*z**5 + 0*z + 7/2*z**2 + 22 + 0*z**4 + 0*z**3. Find the second derivative of l(u) wrt u.
516*u**2
Let t(n) be the second derivative of 0 + 0*n**2 + 5/6*n**4 - 9*n + 5/2*n**3. Find the second derivative of t(v) wrt v.
20
Let q = -830 + 1663/2. Let j(x) be the first derivative of 0*x**3 - q*x**4 + 0*x + 6*x**2 - 11. What is the second derivative of j(p) wrt p?
-36*p
Suppose -3*c = 1 - 19. Let h = c - 2. Differentiate -1 + h*j - 2 + 3*j - 2*j wrt j.
5
Suppose 23 = 3*j + 11. Find the third derivative of -c**4 - j*c**4 - 19*c**2 + c**4 - c**4 wrt c.
-120*c
Let c(x) be the third derivative of x**4/24 + 7*x**3/3 - 3*x**2. Let w be c(-11). What is the first derivative of -5 + 5 + 1 - 3 + w*q**2 wrt q?
6*q
Let k(i) = -35*i**3 + 5*i - 27. Let y(u) be the second derivative of -u**3/6 + 6*u. Let j(l) = -k(l) - 5*y(l). What is the derivative of j(s) wrt s?
105*s**2
Let y = -2999/3 + 1001. Let f(l) be the first derivative of 0*l - 5/4*l**4 + 0*l**2 + 7 - y*l**3. What is the third derivative of f(j) wrt j?
-30
Let z be (-12 - -11) + 2*1. Let l = 3 + z. What is the third derivative of 3*j**5 - 5*j**l + 7*j**4 - 2*j**4 + 4*j**2 wrt j?
180*j**2
Let o(v) be the first derivative of -11/2*v**2 + 4*v + 11. Find the first derivative of o(y) wrt y.
-11
Suppose -1463 = -5*n + n - 5*z, z + 1807 = 5*n. What is the first derivative of q**4 + 362*q - n*q + 9 wrt q?
4*q**3
Let t(k) = -k**4 + 2*k**3 + k**2 + 2*k. Let a(d) = d**4 - 6*d**3 + d**2 + 117*d. Let i(r) = a(r) + 3*t(r). What is the second derivative of i(j) wrt j?
-24*j**2 + 8
Let i be (-2458)/(-10) + (-6)/(-30). Suppose -4*v + i - 46 = 0. What is the derivative of -2 - v*h**3 + 50*h**3 + 3*h**4 + 1 wrt h?
12*h**3
Let c(a) be the first derivative of 52*a**3 + 3*a**2 - 7*a - 60. Find the second derivative of c(x) wrt x.
312
Let r(k) = 9*k - 8. Suppose -p = -3*p + 2. Let a(y) = -y. Let q(t) = p*r(t) + 5*a(t). Differentiate q(h) with respect to h.
4
Let q(u) be the third derivative of u**8/84 - 7*u**5/10 - u**4/24 + 91*u**3/2 - 86*u**2. What is the second derivative of q(b) wrt b?
80*b**3 - 84
Let b(r) be the second derivative of -43*r**7/7 - 11*r**3 - r**2/2 - 3*r - 17. Find the second derivative of b(s) wrt s.
-5160*s**3
Let m(h) = -h**3 + 2*h**2 - h + 1. Let o(d) = -16*d**3 + 6*d**2 - 5*d + 2. Let p(j) = -4*m(j) + o(j). Find the second derivative of p(l) wrt l.
-72*l - 4
What is the derivative of 108 + 12*b**4 - 2*b + 2*b - 114 wrt b?
48*b**3
Let j(c) be the third derivative of -31*c**8/336 + c**7/70 + c**4/24 + 11*c**3 + 57*c**2. Find the second derivative of j(q) wrt q.
-620*q**3 + 36*q**2
Let t(s) be the first derivative of -67*s**5/5 - 30*s**2 + 21. Find the second derivative of t(m) wrt m.
-804*m**2
What is the first derivative of 124*z**3 + 4*z - 39 + 69 + 8 + 36 wrt z?
372*z**2 + 4
Let p(y) be the third derivative of 0 + 20*y**2 + 1/10*y**5 + 0*y - 9/2*y**3 + 0*y**4. What is the derivative of p(n) wrt n?
12*n
Let b be (-42)/(8/(8/(-2))). Suppose -3*w + b = 3*s - w, 4*s = 4*w + 28. What is the derivative of 2 - 10 + 7 - 7*i**4 - s wrt i?
-28*i**3
Let y(c) = 22*c + 73. Let t(l) = 41*l + 146. Let x(w) = 6*t(w) - 10*y(w). Differentiate x(h) with respect to h.
26
Let l(a) = -a**3 + 6*a**2 - 2*a + 14. Let h be l(6). Let d be (14 - 2)/3 - h. Find the third derivative of 9 - 4*t**d + 2*t**4 - 18 + 9 wrt t.
48*t
Let w(y) be the first derivative of 133*y**5/5 + 140*y**3/3 - 94. Find the third derivative of w(o) wrt o.
3192*o
Let y(g) = -7*g**2 + 6*g - 187. Let o(l) = 2*l**2 - 4*l + 93. Let n(h) = 5*o(h) + 2*y(h). Differentiate n(r) with respect to r.
-8*r - 8
Let o = 5 - 2. Let l be (4/(-3))/((-2)/o). Find the second derivative of -2 + l + 3*k**5 + k + 0 wrt k.
60*k**3
Let a be 5/(-2)*(24/(-5))/3. Find the second derivative of -56*t**a + 69*t**4 + t + 16*t wrt t.
156*t**2
Suppose -4*z + 2*z + 6 = 0. What is the second derivative of -8*x**3 + 3*x + x**2 - x**2 + x**z wrt x?
-42*x
Suppose -4*c - 2*l = -762, -2*c + 549 = c - 3*l. What is the third derivative of -21*k**5 + 16*k**2 - c*k**3 + 188*k**3 + 2*k**5 wrt k?
-1140*k**2
Let h(f) = 2*f**2 + 72*f + 680. Let m(r) = -6*r**2 - 147*r - 1361. Let o(q) = -7*h(q) - 3*m(q). Find the first derivative of o(p) wrt p.
8*p - 63
Let y(i) be the second derivative of 79*i**4/4 - 35*i**3/6 - 2*i**2 - 16*i - 7. Find the second derivative of y(r) wrt r.
474
Let r(c) = 2*c**4 + 3*c**5 + c + 4*c**5 - c**5 - 14*c. Let m(f) = -f**4 + f. Let x(u) = 2*m(u) + r(u). What is the second derivative of x(j) wrt j?
120*j**3
Let f(t) = t**2 + 1. Let z(c) = 47*c**2 - 74. Let p(a) = 2*f(a) + z(a). Differentiate p(i) wrt i.
98*i
Let q(t) = -6*t**2 + t. Let g be q(-1). Let a = g - -12. Find the second derivative of -4*o + 3*o**5 + 2*o**a + o wrt o.
100*o**3
Suppose q - 14 = -6. Suppose 4*m + g - 34 = -q, -m + 5*g = 4. Find the third derivative of -5*n**2 - 10*n**2 + 11*n**m + 9*n**2 wrt n.
1320*n**3
Suppose -20*l = -17*l. Let a(u) be the first derivative of 0*u**4 + 0*u**2 - 3/5*u**5 + l*u + 6 + 2*u**3. What is the third derivative of a(p) wrt p?
-72*p
Suppose -3*f = f - 5*k - 25, 4*f + k + 5 = 0. Find the second derivative of 0 + f - 4*a - 13*a + 13*a**5 wrt a.
260*a**3
What is the third derivative of -2*r**2 + 79 - 185*r**4 - 164*r**4 + 137*r**4 wrt r?
-5088*r
Suppose 3*l - 6*l - 3 = 0. Let c(t) = 13*t**2 + 2*t + 1. Let g be c(l). What is the derivative of g*r**2 - 23*r**2 + 3 + 10*r**2 wrt r?
-2*r
Let j(f) = f**4 - f**2 - f. Let b(k) = 52*k**4 - 39*k**2 - 39*k - 13. Suppose -3 = 5*m - 8. Let l(w) = m*b(w) - 39*j(w). Differentiate l(v) wrt v.
52*v**3
Let j = 44 - 40. What is the third derivative of 7*z**j -