erivative of 8*c**3 - 14*c**3 + 10*c**3 - 2*c**f - 2*c**2 wrt c?
24
Let u(y) be the second derivative of y**8/56 - y**7/6 + 17*y**4/12 - 99*y. Find the third derivative of u(a) wrt a.
120*a**3 - 420*a**2
Suppose o = -10*q + 5*q + 17, 2*o - 3*q = 21. What is the third derivative of -o*j**2 + 3*j**4 + 10*j**4 - 2*j**4 wrt j?
264*j
Let r be 6 + (-22 + 8 - -8). Let y(b) be the third derivative of b**2 + 0*b - 1/6*b**4 + r + 2/3*b**3. Differentiate y(j) with respect to j.
-4
Let z(j) be the first derivative of 19 - 25/2*j**4 + 0*j**2 + 5*j**3 + 0*j. What is the third derivative of z(a) wrt a?
-300
Let a(r) = 6*r + 8. Let w(p) be the third derivative of 13*p**4/24 + 8*p**3/3 - 9*p**2. Let f(j) = 5*a(j) - 2*w(j). Find the first derivative of f(x) wrt x.
4
Let t(y) be the third derivative of 0*y + 1/12*y**4 + 0*y**5 - 1/60*y**6 + 8*y**2 + 0 + 11/2*y**3. Find the first derivative of t(a) wrt a.
-6*a**2 + 2
Let l(f) be the first derivative of -897*f**2/2 - 167*f + 95. Differentiate l(r) with respect to r.
-897
Let s(t) = -t**2 + t. Let m(g) = -4*g**2 + 5*g - 3. Let z = -2 - -7. Suppose 0*y + y = -z. Let a(u) = y*s(u) + m(u). Find the first derivative of a(h) wrt h.
2*h
Let l(y) = -59*y**2 + y - 203. Let j(f) = -20*f**2 - 68. Let z(x) = -8*j(x) + 3*l(x). Find the first derivative of z(o) wrt o.
-34*o + 3
What is the third derivative of 21*a**6 + 36*a**6 + 108*a**2 - 9*a**6 wrt a?
5760*a**3
Let r(m) = -2*m - 12. Let s be r(-8). Let d(w) = 10*w - 7. Let k be d(s). Differentiate -k - 2*o**2 - 2*o**2 + 40 wrt o.
-8*o
What is the third derivative of -7*u**3 - 3*u - 74397*u**5 + 194*u**2 + 3*u + 74428*u**5 wrt u?
1860*u**2 - 42
What is the third derivative of 35*s**5 - 11 + 24*s**2 + 57*s**2 + 11 wrt s?
2100*s**2
Let c(h) be the second derivative of 0*h**3 + 15*h + 0*h**2 + 17/12*h**4 + 1/14*h**7 + 0 + 0*h**5 + 0*h**6. What is the third derivative of c(r) wrt r?
180*r**2
Let l be (2/4 - (-2 + 4))*-2626. What is the second derivative of 12*m**5 - 3939*m**3 + 43*m + 2*m**4 + l*m**3 wrt m?
240*m**3 + 24*m**2
Let j(i) = -3*i**3 - i**2 - 1. Let n(x) = -6*x**3 - 4*x**2 - 41. Let k(v) = 3*j(v) - n(v). What is the third derivative of k(y) wrt y?
-18
Let s(y) = 24*y - 2. Let v be s(-1). Let r = v - -31. What is the third derivative of -15*u**r + 6*u**2 + 24*u**5 - u**2 wrt u?
540*u**2
Let s = 14 - 10. Let a = 0 + s. Find the second derivative of 0*w**3 + 0*w + a*w - 6*w**3 - w**3 wrt w.
-42*w
Suppose 5*o - 121 = 39. Suppose 4*s - 20 = -4*b, 3*b + 2*s - 2 = 5*b. Differentiate 4 + o*w**2 + 32*w**2 - 4*w**4 - 64*w**b wrt w.
-16*w**3
Let m(z) be the first derivative of 642*z**5/5 - z**4/4 + 13*z**3/3 + 19*z + 111. What is the third derivative of m(v) wrt v?
15408*v - 6
Suppose 0*m - 25 = 5*m. Let a = m + 7. Find the third derivative of 0*n**2 + 6*n**a - 12*n**2 + 4*n**4 wrt n.
96*n
Let l(c) = -c**3 + 5*c - 3. Let o be l(-4). Find the first derivative of 136*j - 271*j + 136*j - o - j**2 wrt j.
-2*j + 1
Let j(i) = -248*i - 122. Let m(f) = -84*f - 41. Let h(p) = 5*j(p) - 16*m(p). Find the first derivative of h(n) wrt n.
104
Let t(q) be the third derivative of -19*q**9/504 + 8*q**5/15 + 9*q**2. What is the third derivative of t(f) wrt f?
-2280*f**3
Let u be 28/2*(-10 - -11). Suppose -21 = u*h - 17*h. Differentiate -2 - 6 + h*b**4 + b**4 wrt b.
32*b**3
Let f(b) = 121*b**4 - 6*b**3 - 12*b**2 + 3*b + 12. Let j(z) = -z**3 + 2. Let o(a) = -f(a) + 6*j(a). What is the third derivative of o(x) wrt x?
-2904*x
Suppose -6*i = -i - 40. Find the second derivative of -i*u - 87*u**4 + 81*u**4 + u wrt u.
-72*u**2
Let h(x) be the second derivative of -x**6/10 - x**5/20 - 17*x**4/6 - 17*x. What is the third derivative of h(c) wrt c?
-72*c - 6
Let o(j) be the second derivative of -3*j**5/4 - j**4/3 - 37*j**3/6 + 207*j. Find the second derivative of o(n) wrt n.
-90*n - 8
Let b be (-8)/12*(-4 - -1). Let c = 47 - 43. What is the derivative of 4*w - c*w**b - 4*w + 2 - 6 wrt w?
-8*w
Let y(f) = f**3 + 7*f**2 + 174. Let j(h) = -2*h**3. Let g(d) = -6*j(d) + y(d). What is the derivative of g(t) wrt t?
39*t**2 + 14*t
Let h(o) be the first derivative of o**8/120 + 7*o**6/90 + 40*o**3/3 - 45. Let k(c) be the third derivative of h(c). Find the third derivative of k(i) wrt i.
336*i
Let t(w) be the third derivative of -w**7/210 + 451*w**5/60 + 87*w**4/8 - w**3/6 - 626*w**2. Find the second derivative of t(b) wrt b.
-12*b**2 + 902
Suppose y = -1 + 3. Find the third derivative of 4*a**2 - 4*a**4 + 3*a**y + 19*a**4 wrt a.
360*a
Let b(c) be the second derivative of c**6/15 - 5*c**3/6 + c**2/2 - 54*c. Differentiate b(v) wrt v.
8*v**3 - 5
Find the second derivative of 260*i**2 - 5 + 34212*i - 34227*i + 4 wrt i.
520
Let w(v) = -v**3 + 4*v**2 + 4*v + 2. Let f be w(5). Let i(s) = s + 5. Let d be i(f). Differentiate d + 10*t - 3 - 11*t wrt t.
-1
Suppose -4*s = -0*y + 5*y - 21, 5*s = -3*y + 23. Let c = 6 - s. What is the third derivative of 4*f**6 - 7*f**c + 4*f**6 - 3*f**6 wrt f?
600*f**3
What is the second derivative of 0*f**2 - 182*f**5 - 5*f + 0*f**2 + 4438*f**3 - 4438*f**3 wrt f?
-3640*f**3
Let r(o) = 11*o**3 - 4*o**2 - 28*o + 4. Let p(j) = -45*j**3 + 16*j**2 + 113*j - 18. Let h(d) = -2*p(d) - 9*r(d). Find the second derivative of h(n) wrt n.
-54*n + 8
Let d(l) be the third derivative of -1/4*l**4 - 47 + 2*l**2 + 0*l**3 - 3/4*l**5 + 0*l. Find the second derivative of d(i) wrt i.
-90
Let t(u) be the second derivative of 8*u**4 + 317*u**2/2 - 304*u. Differentiate t(x) with respect to x.
192*x
Let h(m) be the third derivative of 2*m**7/105 + 7*m**6/60 - 18*m**5/5 - 11*m**2. What is the third derivative of h(a) wrt a?
96*a + 84
Let m(q) be the third derivative of -13/24*q**4 + 0 + q**3 + 0*q - 5*q**2. Differentiate m(o) with respect to o.
-13
Suppose -23 = -3*j + 4*m, -j - m = 4*j. Differentiate 25*w**2 - 1 + j + 10 with respect to w.
50*w
Let q(x) = -3*x**2 - 1 + 5*x + 2*x**2 + 2 - 3. Let p be q(4). Find the third derivative of s**2 + p*s**2 - s**2 + 3*s**3 wrt s.
18
Let j(y) be the second derivative of 3*y**8/112 - 7*y**5/60 + 4*y**2 - y. Let x(u) be the first derivative of j(u). Find the third derivative of x(m) wrt m.
540*m**2
What is the third derivative of -50*x**2 - 5*x**2 + 78*x**6 + 9*x**2 + 6*x**2 wrt x?
9360*x**3
Let n(x) be the first derivative of 11*x**6/6 + x**4/2 + 18*x**3 - 74. Find the third derivative of n(i) wrt i.
660*i**2 + 12
Suppose 5*k - 202 = 2*t - 5*t, 4*k - 79 = -t. What is the derivative of 37 - t + 26 - 3*j**2 wrt j?
-6*j
Let w be (-34)/(-14) + 12/(-28). What is the third derivative of -7*m**6 - 5*m**6 - 25*m**w - 7*m**6 - 4*m**6 wrt m?
-2760*m**3
Let o(v) = v**3 + 16*v**2 + 21. Let q be o(-16). Differentiate 6 - q*m**4 + 2 + 6*m**4 + 6 with respect to m.
-60*m**3
Find the third derivative of 420*o + 2*o**2 - 38*o**5 - 8*o**5 + 428*o - 812*o wrt o.
-2760*o**2
Let m(j) be the second derivative of -19/4*j**4 - 7/10*j**5 + 0*j**3 + 0*j**2 + 3*j + 2. What is the third derivative of m(w) wrt w?
-84
Let r(b) be the first derivative of 2*b**6/15 - 7*b**4/12 + 10*b + 8. Let f(c) be the first derivative of r(c). Find the third derivative of f(l) wrt l.
96*l
Suppose -2*y + i - 3*i = -2, -17 = 3*y - 2*i. Let a be y/(-9) + 2/(-6). What is the derivative of 2*u + 2*u + 0 + a + 3 wrt u?
4
Let z(w) be the third derivative of -19*w**4 - 119*w**3/3 - 20*w**2 - 14*w. What is the derivative of z(n) wrt n?
-456
Suppose -4*w + 4*i + 4 = 8, 0 = 5*w + 2*i - 23. Find the second derivative of -154*j**2 + 23*j + 154*j**2 - 17*j**w wrt j.
-102*j
Suppose x + 2*z - 6 = 0, -5*x + 0*z + 3*z + 95 = 0. Let f = x + -14. Find the third derivative of -2 + 6*r**5 + 2*r**2 + f - 8*r**5 wrt r.
-120*r**2
Let w(h) = 44*h**2 + 76*h. Let l(t) = 43*t**2 + 75*t. Let r(p) = -5*l(p) + 6*w(p). What is the second derivative of r(q) wrt q?
98
Let b(w) = 2*w**2 - 7*w + 4. Let x(o) = 5*o**2 - 20*o + 11. Let z(r) = -8*b(r) + 3*x(r). Let t be z(-3). Differentiate 0 + t*i**4 - 1 - 3 + 9 wrt i.
16*i**3
Let h(r) be the first derivative of 4 - 3*r**2 + 0*r - 17*r + 6. Find the first derivative of h(k) wrt k.
-6
Let s(j) be the second derivative of 0*j**3 + 0*j**4 + 0 + 2*j**2 + 1/4*j**5 - 2*j. What is the first derivative of s(k) wrt k?
15*k**2
Let l(z) be the first derivative of -2*z**5/5 + 29*z**4 - 218*z - 9. Find the first derivative of l(