 y(h) = r*t(h) + 6*i(h). Find the third derivative of y(a) wrt a.
-12
Let g(i) be the third derivative of -i**8/420 - 3*i**4/4 + i**3/2 - i**2. Let z(h) be the first derivative of g(h). Differentiate z(y) wrt y.
-16*y**3
What is the second derivative of -1765*r**2 + 173*r + 1765*r**2 + 253*r**4 wrt r?
3036*r**2
Differentiate -119*s + 7*s**2 + 119*s + 6 with respect to s.
14*s
Let g = 75 - 73. Let w = -6 - -23. What is the third derivative of 2*j**4 + 11*j**2 + 8*j**g - w*j**2 wrt j?
48*j
Let h(o) be the third derivative of 13*o**9/60480 - o**6/144 + o**5/30 - 12*o**2. Let s(k) be the third derivative of h(k). Differentiate s(v) wrt v.
39*v**2
Let w(l) = 7*l + 1. Let k be w(1). Let n be 3/(-2)*k/(-12). What is the second derivative of -n + 2*m - 2 - m**2 + 3 wrt m?
-2
Let j = -21 - -22. Differentiate -1 - 4*c**2 - j - 3 with respect to c.
-8*c
Let x(r) be the first derivative of 2*r**5/5 + r**4/4 - 9*r + 12. Let u(g) be the first derivative of x(g). Find the third derivative of u(q) wrt q.
48
Let r(u) be the first derivative of -5 + 7*u**2 - 19*u + 16*u - 14*u. What is the derivative of r(v) wrt v?
14
Let i be (96/15 + 2)/((-4)/(-10)). What is the first derivative of i + 207*d - 216*d + 1 wrt d?
-9
Differentiate 204*d**3 + 31*d**4 - 254*d**4 + 126 - 204*d**3 with respect to d.
-892*d**3
Let d(x) be the third derivative of 0*x**3 + 0 + 0*x**4 + 0*x - 15*x**2 + 1/20*x**6 + 1/10*x**5. Find the third derivative of d(h) wrt h.
36
Let y = 89 - 79. What is the third derivative of u**5 + 172*u**2 - u**5 - 165*u**2 + y*u**6 wrt u?
1200*u**3
Let g(n) be the second derivative of n**7/21 + 3*n**5/4 + n**4/6 + 49*n**3/6 + 37*n. Find the third derivative of g(m) wrt m.
120*m**2 + 90
Let a(y) be the third derivative of 17*y**7/210 - 57*y**3/2 - 193*y**2. What is the first derivative of a(c) wrt c?
68*c**3
Let y(i) be the second derivative of -5*i**4/4 + i**3/2 - 85*i**2 + 6*i + 8. What is the derivative of y(u) wrt u?
-30*u + 3
Let b(k) be the first derivative of 17*k**8/1680 - k**6/30 - 11*k**3/3 - 21. Let r(g) be the third derivative of b(g). Find the third derivative of r(p) wrt p.
408*p
Let o(s) = s**2 + 6*s - 14. Let b be o(-8). What is the third derivative of -g + g + 4*g**b + 228*g**5 - 258*g**5 wrt g?
-1800*g**2
Let j be 1/((2 - 4)/(-2)). Let u(p) = -31*p**4 - 2*p. Let a(k) = k**4 - k. Let n(h) = j*u(h) + 4*a(h). What is the second derivative of n(o) wrt o?
-324*o**2
Let o(h) be the first derivative of -11*h**3/3 + 18*h**2 - 4. Find the second derivative of o(i) wrt i.
-22
Let b be 1 + (3 - 2)*3. Let n be 18/b + (-3)/6. Differentiate -n - 57*x - 2*x**2 + 57*x with respect to x.
-4*x
Let a(i) = i**2 + 4*i + 5. Let x be a(-3). What is the third derivative of w - w - 17*w**5 + w**x + 15*w**2 wrt w?
-1020*w**2
Let z(l) be the third derivative of -l**7/168 + 7*l**5/60 + l**4/2 + 9*l**2. Let n(a) be the second derivative of z(a). Find the first derivative of n(s) wrt s.
-30*s
Suppose -14 = -8*x + 10. Suppose -32 = -5*p - 2*f, 6*p - x*p = -4*f + 8. Find the third derivative of 1 + p + 2*z**6 - 9 + 2*z**2 wrt z.
240*z**3
Let b(o) be the second derivative of -43/12*o**4 + 0*o**2 - 28*o + 0 + 1/3*o**3. Find the second derivative of b(s) wrt s.
-86
Suppose 7 = 5*t - 8. Let d(m) = m**4 - 7. Let l(a) be the second derivative of -a**6/15 + 7*a**2/2 + 4*a. Let y(c) = t*d(c) + 4*l(c). Differentiate y(p) wrt p.
-20*p**3
What is the first derivative of -180 + 0*o + 103*o**2 + 467 + o - 216 wrt o?
206*o + 1
Find the third derivative of 65*z**5 - 260*z**5 + 47*z**2 - 273*z**2 wrt z.
-11700*z**2
Suppose -166 + 199 = 3*q. Let w(o) = 17*o + 45. Let i(l) = 86*l + 224. Let s(v) = q*w(v) - 2*i(v). Differentiate s(u) wrt u.
15
What is the second derivative of -36*f**3 + 34*f**2 - 19*f**2 - 15*f**2 - 136*f wrt f?
-216*f
Find the first derivative of -19*j**3 + 450 - 60*j**4 - 116 - 38*j**4 + 18*j**3 wrt j.
-392*j**3 - 3*j**2
Let i(h) = 2*h + 11. Let f be i(-3). What is the third derivative of 7*q**5 - 2*q**5 - 39*q**5 + 19*q**2 + f*q**2 wrt q?
-2040*q**2
Let q(d) = -9*d**4 + 3*d. Let y(c) = -5*c - 8*c - 6*c + 17*c + 10*c**4. Let t(n) = -6*q(n) - 4*y(n). What is the second derivative of t(b) wrt b?
168*b**2
Suppose -31 = -2*l + 9. Suppose -l*t - 15 = -25*t. Differentiate -7*n**3 - n**t + 7 + 8*n**2 - 8*n**2 with respect to n.
-24*n**2
Let f be -4 - (3 - 2 - 8). What is the first derivative of 1 - f*k + 5*k + 1 - 8 wrt k?
2
Let l be 0/(2*(-3)/6). Suppose 0 = -l*x + 2*x. Differentiate y**3 - 6 + 2*y**3 + 7*y**3 + x*y**3 with respect to y.
30*y**2
Let l(v) be the first derivative of -v**6/8 - v**5/60 + 7*v**2 + 5. Let g(h) be the second derivative of l(h). What is the third derivative of g(q) wrt q?
-90
Let a be 0*(0 + 0 + 1). Suppose a = -4*s - 2 + 10. Find the third derivative of -5*y**6 - y**s + 3*y**2 + 9*y**6 wrt y.
480*y**3
What is the third derivative of -6 + 31274*q**3 - 6*q**2 - 31606*q**3 + 4 wrt q?
-1992
Let z(y) be the third derivative of 0*y**6 + 0*y**7 + 0 - 1/8*y**4 + 0*y**3 + 9*y**2 - 1/112*y**8 + 0*y**5 + 0*y. Find the second derivative of z(w) wrt w.
-60*w**3
Let k(r) = 2*r - 5. Let g(a) = 12*a + 43. Let q be g(-3). Let o(c) = -5 - c + 6*c - 4*c. Let y(u) = q*o(u) - 6*k(u). What is the first derivative of y(w) wrt w?
-5
Let r(i) be the first derivative of -201*i**4/4 - 322*i**3/3 + 58. What is the third derivative of r(q) wrt q?
-1206
Find the third derivative of 9*g**2 + 248*g**3 + 59*g**4 - 126*g**3 - 122*g**3 wrt g.
1416*g
Let c(a) be the third derivative of a**8/21 - a**5/60 - 29*a**4/4 - 154*a**2 + 2*a. Find the second derivative of c(n) wrt n.
320*n**3 - 2
Let v(r) be the first derivative of 0*r**4 + 0*r - 9/5*r**5 - 2 + 0*r**3 + r**2. What is the second derivative of v(y) wrt y?
-108*y**2
Suppose -2*r + v = -3*v - 12, v = 4*r - 10. Let k(w) = w**3 + w**2 - w + 2. Let z be k(0). Differentiate -r + 0 + 3 + 0*p**2 - p**z with respect to p.
-2*p
Let n(b) = -5*b - 26. Let y(a) = 8*a + 39. Suppose -3*j - 5 = 10. Let g(u) = j*y(u) - 7*n(u). What is the derivative of g(v) wrt v?
-5
Let b(a) be the first derivative of -21 + 7*a + 4 + 4*a**5 - 10. What is the first derivative of b(z) wrt z?
80*z**3
Let y be 28/6 + 4/(-6). Let x be ((-182)/(-21) + -7)/((-10)/(-12)). What is the second derivative of y*i**3 - 5*i + i + 2*i**3 - x*i wrt i?
36*i
Let y(z) be the third derivative of z**9/168 + 4*z**7/15 + 5*z**5/2 - 44*z**2. Find the third derivative of y(a) wrt a.
360*a**3 + 1344*a
Let j(n) = -5. Let d(m) = -2*m**2 - 43*m + 895. Let k(y) = -d(y) - 6*j(y). What is the first derivative of k(p) wrt p?
4*p + 43
Let i = -3547/4 - -889. Let k(x) be the first derivative of -i*x**4 + 0*x**2 - 5 - 3*x + 0*x**3. Differentiate k(s) wrt s.
-27*s**2
Let v(o) = o**3 - o. Let l(n) = 36*n**4 + 6*n**3 - 6*n + 30. Let m(r) = 2*r**2 + 8*r - 4. Let f be m(-5). Let p(j) = f*v(j) - l(j). Differentiate p(t) wrt t.
-144*t**3
Let v = -21 - -6. Let c = -12 - v. Find the first derivative of -4*b**4 - 7*b**3 + 5 + 7*b**c wrt b.
-16*b**3
Let l be (-2 - 2) + (-2 - -16). Differentiate 6 - l*b**3 - 3 + 7 with respect to b.
-30*b**2
Let n be 20/5 - 6/(-2). Suppose -9 = -2*t + n. Find the second derivative of -5*r**3 - t*r**2 + 8*r**2 - 3*r wrt r.
-30*r
Let a(y) = 167*y + 25. Let m(t) = -t - 3. Let f(b) = a(b) - 3*m(b). What is the first derivative of f(h) wrt h?
170
What is the third derivative of -533*g**5 - 60*g**3 - 2 - 31*g**3 - 352*g**2 + 534*g**5 wrt g?
60*g**2 - 546
Let w(f) be the second derivative of -213*f**8/28 + 3*f**4 + 246*f. What is the third derivative of w(i) wrt i?
-51120*i**3
What is the third derivative of -7*l**2 - 6*l + 98*l**3 + 4*l - 115*l**3 wrt l?
-102
Let q(z) = -814*z**6 - 3*z**5 + 603*z**2. Let j(o) = 4070*o**6 + 14*o**5 - 3016*o**2. Let m(g) = -3*j(g) - 14*q(g). What is the third derivative of m(d) wrt d?
-97680*d**3
Let q = -290 + 290. Let p(o) be the first derivative of -2*o**2 + q*o + 0*o**3 + 5/4*o**4 + 5. Find the second derivative of p(m) wrt m.
30*m
Let f(w) = 42*w - 135. Let l(q) = q - 5. Let m(x) = f(x) + 5*l(x). Differentiate m(r) with respect to r.
47
Let b(g) = -182*g**3 + 8*g**2 - 100. Let t(v) = 273*v**3 - 11*v**2 + 151. Let f(d) = -7*b(d) - 5*t(d). Find the third derivative of f(z) wrt z.
-546
Let y(x) be the third derivative of 64*x**7/105 - x**6/120 - 17*x