- n. Let r(k) be the first derivative of x(k). What is the third derivative of r(j) wrt j?
84
Let n(j) = 133*j**2 + 12*j + 204. Let w(g) = 267*g**2 + 22*g + 410. Let o(l) = 11*n(l) - 6*w(l). Differentiate o(s) wrt s.
-278*s
Let s(y) = -y**2 + 14*y + 5. Suppose 5*g - 56 = g. Let x be s(g). What is the third derivative of t**4 - t**4 + t**2 + 26*t**x - 23*t**5 wrt t?
180*t**2
Let h(g) be the third derivative of -17*g**4/6 - 37*g**3/6 - 6*g**2. What is the first derivative of h(y) wrt y?
-68
Let f(v) be the second derivative of 181*v**6/15 - 19*v**2/2 + 7*v. What is the first derivative of f(x) wrt x?
1448*x**3
Differentiate 3*x - 3*x + 216 - 526*x**2 - 129*x**3 + 525*x**2 wrt x.
-387*x**2 - 2*x
Let f(a) = 6*a - 2. Let r be f(1). What is the third derivative of r*y**5 - 11*y**2 - 2*y**5 + 4*y**5 wrt y?
360*y**2
Let k(a) be the second derivative of 5*a**5/2 - 2*a**4 + 9*a. What is the third derivative of k(s) wrt s?
300
Suppose 7*o + 4 = 39. Find the second derivative of -203*s**5 + 194*s**o - s - 5*s wrt s.
-180*s**3
What is the third derivative of -54*i**2 + 104*i**2 - 9 - 53*i**2 - 87*i**3 wrt i?
-522
Let i(t) be the third derivative of -5*t**4/24 + 34*t**3/3 - 378*t**2. Find the first derivative of i(z) wrt z.
-5
Let y(b) = 10*b - 3. Let h be y(6). Let k be 1*52 - -2 - -1. Differentiate 6*s - h + k + 2*s with respect to s.
8
Let w(v) be the first derivative of 304*v**2 + 37*v - 903. Find the first derivative of w(a) wrt a.
608
Let a(u) = 2*u - 20. Let x be a(13). Let d(i) = i**2 + 4*i - 5. Let z be d(-8). Find the third derivative of -z*b + 27*b + 4*b**x - 8*b**2 wrt b.
480*b**3
Let z(u) = -2. Let v(l) = 6*l + 297. Let o(c) = v(c) + 2*z(c). What is the derivative of o(n) wrt n?
6
Let w(n) be the first derivative of 5 + 0*n**4 - 25/3*n**3 + 0*n**5 - 3/7*n**7 + 0*n**2 + 0*n + 0*n**6. Find the third derivative of w(l) wrt l.
-360*l**3
Find the second derivative of 78472 - 78472 + 246*i**2 + 234*i wrt i.
492
Let i(t) = 2*t**2 - 11. Suppose -2*l + 6*l - 8 = 0. Let w(z) = 2*z**2 - 10. Let c(m) = l*w(m) - 3*i(m). Differentiate c(r) with respect to r.
-4*r
Let m(u) be the second derivative of u**4/4 + 5*u**3/3 - 19*u**2/2 - 16*u. Let v(c) be the first derivative of m(c). Differentiate v(o) with respect to o.
6
Let b(s) = 1072*s - 1854. Let d(p) = -536*p + 927. Let f(i) = -3*b(i) - 7*d(i). Find the first derivative of f(y) wrt y.
536
Let m(i) = -134*i**3 - 173*i**2 + 8*i - 4. Let w(c) = c**3 - c**2 + 2*c - 1. Let j(a) = m(a) - 4*w(a). What is the third derivative of j(v) wrt v?
-828
Differentiate -93*t**4 + 21*t**4 - 223 - 160*t**4 + 12 with respect to t.
-928*t**3
Let k be (2/(-4) + 0)*0. What is the first derivative of 257 - 260 + k*a**2 + 0*a**2 + 17*a**3 wrt a?
51*a**2
Let c be 3/(9/(-6)) - -4. Suppose -5*d + 12 = c. What is the second derivative of -d*u**3 + u + 2*u + 0*u - 2*u wrt u?
-12*u
Let u = 9 - 10. Let a be 80/30 + u/(-3). What is the third derivative of -d**2 + a*d**4 - d**2 - 5*d + 5*d wrt d?
72*d
Let m(i) = -188*i**3 - 14*i**2 + 7*i + 148. Let c(t) = 94*t**3 + 6*t**2 - 3*t - 74. Let q(r) = -14*c(r) - 6*m(r). Differentiate q(a) with respect to a.
-564*a**2
Let c(q) = -q**4 - 2*q**3 + q. Let y(l) = -8*l**4 - 6*l**3 + 3*l - 146. Let g(o) = -3*c(o) + y(o). What is the derivative of g(w) wrt w?
-20*w**3
Let g(f) be the first derivative of 148*f**2 - 396*f + 336. What is the first derivative of g(l) wrt l?
296
Let b(v) = 1. Let o(i) = 72*i - 96. Let f(g) = -b(g) + o(g). Differentiate f(a) with respect to a.
72
Let k be 38/20*2 + 1/5. Let z(x) = 6*x**3 + 3*x + 10. Let d(v) = 6*v**3 + 4*v + 9. Let a(q) = k*z(q) - 3*d(q). What is the first derivative of a(p) wrt p?
18*p**2
Let m be (8/10)/(20/50). Let s = 2 - -1. What is the second derivative of -m*i - s*i**2 + i**2 + 2*i**2 + 7*i**4 wrt i?
84*i**2
Let r(z) be the third derivative of 0*z**6 + 0*z + 0 + 11/210*z**7 + 19*z**2 + 2/3*z**4 + 0*z**5 + 0*z**3. Find the second derivative of r(p) wrt p.
132*p**2
Let a = 42 - 48. Let w(f) = 13*f**3 - 5*f + 4. Let z(y) = 13*y**3 - 6*y + 4. Let j(c) = a*w(c) + 5*z(c). What is the first derivative of j(x) wrt x?
-39*x**2
Let b be 44/8 - 9/(-6). Suppose 4*c = -g + 15, 3*c - 3*g - 21 = -b*g. What is the second derivative of -c - 26*o + 37*o + 6*o**3 + 3 wrt o?
36*o
Suppose 33 = -5*r - 87. Let n be 12/r + (-10)/(-4). What is the second derivative of 0*u**4 + 0*u + n*u**4 + 0*u + 5*u wrt u?
24*u**2
What is the derivative of 13*s**4 - 146 + 57 + s**2 + 9 - 136 + s**2 wrt s?
52*s**3 + 4*s
Let g(f) = 51*f**3 + 7*f - 27. Let y(i) = -26*i**3 - 3*i + 13. Let d(l) = 6*g(l) + 14*y(l). Differentiate d(b) wrt b.
-174*b**2
Suppose 0 = -4*s - 0 + 16. Let f = s - -7. Find the third derivative of 0*v**3 - 9*v**2 - 3*v**3 + f*v**3 wrt v.
48
Let w(k) be the third derivative of -11*k**6/120 - k**4/6 - 51*k**3/2 - 2*k**2 + 96. What is the first derivative of w(g) wrt g?
-33*g**2 - 4
Let n(x) = -7*x**2 - 10*x + 76. Let m(k) = k**2 + k + 1. Let h(w) = -5*m(w) - n(w). Differentiate h(t) with respect to t.
4*t + 5
Let n(s) be the first derivative of -4*s**6/3 - 11*s**3 + 9*s - 961. Find the third derivative of n(t) wrt t.
-480*t**2
What is the third derivative of 11*i**5 - 2 - 2*i**3 + 29*i**2 + 7606*i**4 - 7606*i**4 wrt i?
660*i**2 - 12
What is the first derivative of -2 - 20*l**4 + 19*l**4 - 34 - 7*l**4 wrt l?
-32*l**3
Differentiate -5*r**2 - 43*r + 7*r**2 + 52*r + 64 with respect to r.
4*r + 9
Find the second derivative of 5 - 4 - 1 - 75*a**2 - 43*a wrt a.
-150
Let y(f) = 39*f + 128. Let h(o) = -3. Let n(k) = 2*h(k) + y(k). Find the first derivative of n(v) wrt v.
39
Let m(u) be the second derivative of 32*u**7/21 - u**5/10 - 913*u**4/12 - 726*u. Find the third derivative of m(n) wrt n.
3840*n**2 - 12
What is the first derivative of 117 - 51*h + 139 - 133*h**2 - 54*h + 105*h wrt h?
-266*h
Let k(z) be the third derivative of -157*z**5/60 - 47*z**4/24 - z**3/6 + 29*z**2 + 8. Find the second derivative of k(f) wrt f.
-314
Let m(i) be the third derivative of -9/40*i**6 + 0*i**4 - 23*i**2 - 11/3*i**3 + 0*i + 0 + 0*i**5. Find the first derivative of m(b) wrt b.
-81*b**2
Find the second derivative of -14 + 144*j**3 - 24*j**3 - 4*j - 7 + 103*j**3 - 6*j wrt j.
1338*j
What is the first derivative of -2*f**2 - 1202 + 2*f**2 + 827*f**3 + 1130 wrt f?
2481*f**2
What is the second derivative of 0 + 18*w**2 - 28 + w + 28 wrt w?
36
What is the third derivative of 223*n**2 + 53*n**2 - 10*n**6 + 344*n**6 - 101*n**6 + 248*n**2 wrt n?
27960*n**3
Let a(i) be the first derivative of -38*i**3 - 377*i - 179. Find the first derivative of a(y) wrt y.
-228*y
Let r(g) be the second derivative of -22*g - 13/30*g**6 + 0*g**5 - 11/6*g**3 + 0 + 0*g**4 + 0*g**2. Find the second derivative of r(m) wrt m.
-156*m**2
Let z(c) be the second derivative of 1/12*c**4 - 1/15*c**6 + 3/4*c**5 + 0*c**3 + 0*c**2 - 27*c + 0. What is the third derivative of z(i) wrt i?
-48*i + 90
Differentiate -96*m**2 - 80*m**3 - 2*m - 26 - 24 + 18 + 96*m**2 with respect to m.
-240*m**2 - 2
Let t(r) = -r**3 - 11*r**2 - 7*r + 33. Let g be t(-10). Find the third derivative of 3*b + 0*b - 13*b**4 - g*b + 23*b**2 wrt b.
-312*b
Let t(a) be the second derivative of 29*a**7/21 + a**5/10 + a**4/4 + 28*a**3/3 + 154*a. Find the third derivative of t(y) wrt y.
3480*y**2 + 12
What is the derivative of -8*y - y + 110 - 11*y + 10*y wrt y?
-10
Let f(v) = -v**2 - v - 1. Let y(m) = 7*m**2 + 4*m + 15. Let i(j) = 5*f(j) + y(j). Let p(c) be the first derivative of i(c). Differentiate p(o) wrt o.
4
Let z(m) be the second derivative of 13*m**6/360 - m**4/24 + m**3 - 10*m. Let o(u) be the second derivative of z(u). Differentiate o(b) wrt b.
26*b
Let w(d) be the first derivative of 8*d**7/7 - d**4/4 - 14*d**3/3 - 3*d**2 - 131. What is the third derivative of w(p) wrt p?
960*p**3 - 6
Let i(g) be the first derivative of g**5/5 + 7*g**4/4 + 139*g**3/3 - 75. Find the third derivative of i(c) wrt c.
24*c + 42
Let p(o) be the third derivative of -5*o**7/21 + 41*o**4/12 - o**2 - 35*o. Find the second derivative of p(a) wrt a.
-600*a**2
Differentiate 9 + 61*u - 1 - 1 - 2 wrt u.
61
Suppose -12 = -3*o - 0*o. Suppose o*l + 5*x - 229 = 0, -4*l = x - 0*x - 209. What is the third derivative of l*k**2 + 0*k**4 - 56*k**2 - 2*k**4 wrt k?
-48*k
Let t(c) be the third derivative of 