he third derivative of 9*n**5 - 13*n**5 - s*n**f + 21*n**2 wrt n?
-660*n**2
Let h(p) = -p**3 - 3*p**2 + p - 2. Let b(q) = 4*q**3 - 118*q**2 - 4319*q - 6. Let l(y) = b(y) - 3*h(y). Find the second derivative of l(d) wrt d.
42*d - 218
Let u(s) be the first derivative of 257*s**5/5 - s**4/4 - 5*s**3/3 - 52*s**2 - 1506. What is the third derivative of u(q) wrt q?
6168*q - 6
Let u(c) be the first derivative of -1/5*c**5 + 0*c + 0*c**4 - 2/3*c**6 + 0*c**2 - 63 - 35/3*c**3. What is the third derivative of u(h) wrt h?
-240*h**2 - 24*h
Suppose 3*a - f - 7 = 0, -35*f + 38*f = a + 3. Differentiate -23*y - 46 - 44 + 26*y - a*y**3 wrt y.
-9*y**2 + 3
Let l = -11 - -20. Let z(q) = -3*q + 29. Let v be z(l). Differentiate -12*t + 0*t - 29 + 42 + v*t wrt t.
-10
Let g(q) be the third derivative of -128*q**7/105 + q**6/120 + 41*q**5/30 - q**2 + 9*q. What is the third derivative of g(b) wrt b?
-6144*b + 6
Let r be (3 - (-204)/(-20))*-5. Suppose -11 = 5*s - r. What is the second derivative of 44*y - 29*y - s*y**2 + 5*y**2 + 22*y**5 wrt y?
440*y**3
Let i(b) = -1073*b + 6140. Let m(t) = -534*t + 3071. Let f(o) = -3*i(o) + 5*m(o). Find the first derivative of f(d) wrt d.
549
Let r(x) be the first derivative of -73*x + 62 + 0*x**2 + 23/2*x**4 + 0*x**3. Differentiate r(j) with respect to j.
138*j**2
Suppose -23*f + 1017 = -14*f. What is the derivative of 2 - 3 - f*n - 41 - 11 wrt n?
-113
Let t = -41 - -56. Let m be 44/33*t/2. What is the first derivative of 331*z - m*z**3 + 7 - 331*z wrt z?
-30*z**2
Let n(v) = v**3 - 20*v**2 - 2*v + 44. Let a be n(20). Let d(i) = -i. Let g(u) = -69*u**2 + 4*u + 52. Let b(s) = a*d(s) + g(s). Differentiate b(y) wrt y.
-138*y
Let k(l) = l**3 - 3*l**2 - 12*l + 23. Let y be k(11). Differentiate 359 + 6*f - y + 413 + 20*f wrt f.
26
Let i(w) be the first derivative of 51/5*w**5 - 69*w + 0*w**4 + 0*w**2 + 0*w**3 - 122. Find the first derivative of i(a) wrt a.
204*a**3
Let a be 2/(-1) + (-2)/(-2). Let n(m) = -4*m + 0*m + 5*m. Let o(s) = -20*s**2 + s + 27. Let w(u) = a*n(u) + o(u). Find the first derivative of w(f) wrt f.
-40*f
Suppose 0 = -5*h - 27 + 123 - 6. Let d(n) be the first derivative of h - 3/2*n**2 + 0*n + 13/3*n**3. Find the second derivative of d(x) wrt x.
26
Let u(q) be the first derivative of -35*q**6/3 + 5*q**4/4 + 357*q**2 - 2*q + 986. Find the second derivative of u(t) wrt t.
-1400*t**3 + 30*t
Suppose 22*o = -6*o + 84. What is the second derivative of 35*t**3 + 28 + 3*t + 42*t**3 - t + o*t**3 wrt t?
480*t
Find the second derivative of -y**2 + 2*y**2 + 143964*y - 141*y**3 - 145042*y wrt y.
-846*y + 2
Let k(d) be the third derivative of -1/105*d**7 - 118*d**2 + 11/24*d**6 + 2/3*d**4 + 0*d + 0*d**5 + 0 + 1/6*d**3. Find the second derivative of k(n) wrt n.
-24*n**2 + 330*n
Let t be (-2)/(-8) + 3/36*129. What is the second derivative of -t*h**2 + 386 - 386 + 157*h wrt h?
-22
Let n be 8/10 + 6/30. Let r(a) = -a**2 - a - 1. Let c(z) = -71*z**3 - 6*z**2 - 6*z - 11. Let p(k) = n*c(k) - 6*r(k). Find the first derivative of p(o) wrt o.
-213*o**2
Let v(n) be the first derivative of 3155*n**4/2 + 9228*n + 10518. Find the first derivative of v(f) wrt f.
18930*f**2
Let z be (2/(-2 + 3))/(114/171). What is the third derivative of 8 - 113*f**3 - f**4 - 8 - 58*f**2 + 73*f**z wrt f?
-24*f - 240
Let a be (-1508)/(12/(-3)) - -5. Let j be a/42 + 2/(-21). What is the third derivative of -2*o**4 - 41*o**2 - j*o**4 - 12*o**4 wrt o?
-552*o
Let m be (5/(-15)*1)/(315/351 + -1). Let x(s) be the first derivative of -19 + 0*s**3 - m*s**4 + 0*s**2 + 7*s. Find the first derivative of x(v) wrt v.
-39*v**2
Let h(a) = -6*a**3 + 9*a**2 + 10*a + 7. Let p be h(-3). What is the second derivative of 40*i**2 - 156 + 33 - 2*i + 0*i + i - p*i**2 wrt i?
-360
Let r(z) = 13*z**2 + 4*z - 20. Let d = -253 - -256. Let q(m) = -12*m**2 - 5*m + 22. Let s(j) = d*q(j) + 4*r(j). Find the second derivative of s(v) wrt v.
32
Let p be 2/(16/42) - (-35)/(-140). What is the second derivative of 7*v + 184*v**5 - 180*v**p - v**3 - 23*v - 1 - v**3 wrt v?
80*v**3 - 12*v
Let x(b) be the second derivative of b**6/10 + 71*b**5/20 - 331*b**2 + 6*b + 80. Differentiate x(v) with respect to v.
12*v**3 + 213*v**2
Let f(z) = z**3 - 9*z**2 - z + 14. Let o be f(9). Find the third derivative of k**2 - 20*k - 8*k**o - 12*k**2 - 3*k**5 + 9*k**2 wrt k.
-660*k**2
Let x(t) = -t**3 + 10*t**2 + 16*t + 18. Let f be x(11). What is the third derivative of -37*o - f - 67*o**3 + 146 - 73 - 2*o**2 wrt o?
-402
Suppose -180 = 4*s + 5*d + 65, -3*s - 182 = 2*d. Let z = -50 - s. Find the second derivative of -5*k**5 - 5*k**3 - z*k**5 + 5*k**3 - 2*k wrt k.
-300*k**3
Suppose -18 = 4*c - 26. Find the third derivative of 43*o**4 - 19*o**2 + 26*o**c + 63*o**2 + 2*o**3 + 11*o**2 wrt o.
1032*o + 12
Let v(s) be the third derivative of -143*s**6/20 + 1031*s**3/6 - 991*s**2. Differentiate v(l) with respect to l.
-2574*l**2
Suppose 9 = 3*y + 3*z, 3*y - 3*z = -3 + 18. What is the second derivative of 1698*t - 7*t**3 - 1708*t + 2 + 7*t**3 - 109*t**y wrt t?
-1308*t**2
Suppose -l = -3*n - n + 121699, 3*n + 4*l - 91260 = 0. What is the second derivative of -21 - 133*y**5 - 30424*y**3 + n*y**3 + 2*y wrt y?
-2660*y**3
Let m(a) = -457*a**3 + 15*a**2 + 3*a - 22. Let w be m(-7). Find the second derivative of -157541*x - 316*x**5 + 48*x**5 + w*x wrt x.
-5360*x**3
Let k(n) = -2*n + 2. Let o(t) = 2068*t**2 - 4*t + 288. Let u(d) = -2*k(d) + o(d). Differentiate u(h) wrt h.
4136*h
What is the third derivative of 11*a**3 + 30*a**2 - 244724 - 2*a - 3*a**6 + 0*a**4 - a**4 + a**4 - 3*a**5 + 244705 wrt a?
-360*a**3 - 180*a**2 + 66
What is the second derivative of 1113*w**4 - 1113*w**4 - 5242*w - 7084*w**5 wrt w?
-141680*w**3
Let s(c) = -c - 2. Let l be (-98)/(-7)*(-2)/(-7). Let p(y) = 206*y**2 - 2*y - 189. Let d(o) = l*s(o) - p(o). Find the second derivative of d(f) wrt f.
-412
Let w = -19 + 17. Let j be w + 30 + (-1)/(3 - 4). What is the second derivative of -j*t - 2*t**3 + 11*t + 2*t**3 + 28*t**4 wrt t?
336*t**2
Let s = -38 - -40. Suppose s*o = 4 + 80. Find the second derivative of -o*a + 39*a + 9 + 6*a**2 + 0 + 3 wrt a.
12
Let t = -315 + 221. Let a = 96 + t. Find the third derivative of 156*f**6 - 131*f**6 - 30*f**2 - a + 2 wrt f.
3000*f**3
Let d = -448 + 656. What is the second derivative of 182*p - 2*p**2 - d*p + 195*p**3 - 2*p**2 + 4*p**2 wrt p?
1170*p
Let b(l) = -2*l + 4. Let y(p) = 26*p - 1134. Let o(k) = 4*b(k) - y(k). What is the first derivative of o(f) wrt f?
-34
Let z(s) be the first derivative of -4594*s**6/3 - s**3/3 + 11*s**2/2 + 58*s - 5073. Find the third derivative of z(x) wrt x.
-551280*x**2
Let i(t) = 2380*t**2 + 6*t + 3284. Let h(x) = 2*x**2 - 2*x - 1. Let j(w) = -3*h(w) - i(w). What is the derivative of j(o) wrt o?
-4772*o
Let q(t) = 155*t - 21. Let a(m) = -12*m - 144*m - 65 + 84. Let s(h) = -4*a(h) - 3*q(h). Differentiate s(z) with respect to z.
159
Suppose 10*z = 254 + 256. Differentiate 32*v - 6*v - 28 + z*v wrt v.
77
Let w(x) be the third derivative of 3703*x**6/120 - 37*x**5/60 - 7*x**4/24 + 48*x**2 - 3*x - 6. What is the third derivative of w(b) wrt b?
22218
Let y(s) = -89*s**3 - 140*s**2 + 3*s - 9572. Let c(b) = 693*b**3 + 1119*b**2 - 23*b + 76576. Let x(i) = 4*c(i) + 31*y(i). What is the derivative of x(g) wrt g?
39*g**2 + 272*g + 1
Let t(u) be the second derivative of -13*u**4/12 + 49*u**3/6 - 1599*u**2 + 3147*u. Differentiate t(p) with respect to p.
-26*p + 49
What is the third derivative of 382*i**3 - 18105*i**2 - 1191*i**3 + 18534*i**2 - 684*i**3 wrt i?
-8958
Let s(n) = -18456*n**2 - 20951*n - 17. Let p(o) = -13187*o**2 - 14965*o - 12. Let y(f) = 17*p(f) - 12*s(f). Find the second derivative of y(k) wrt k.
-5414
Let u(f) = -67*f - 187. Let m be (15/(-6))/(35/84). Let x(h) = -67*h - 189. Let i(a) = m*u(a) + 5*x(a). What is the derivative of i(r) wrt r?
67
Suppose 0 = 8*s + 8*s - 336. Suppose 15 - s = -2*n. Find the second derivative of 7*p**3 + 17*p - 19*p + 10*p**n wrt p.
102*p
Let u(l) be the second derivative of -499*l**3/3 + 1259*l**2/2 + 1010*l. Differentiate u(j) with respect to j.
-998
Let z be -4 + 16 + 6/2. Let o(j) = -5*j - 7*j + z - 5*j. Let v(d) = -9*d + 7. Let a(y) = 2*o(y) - 5*v(y). What is the first derivative of a(f) wrt f?
11
Let f(t) = 8944*t**3 - 18*t**2 - 165*t + 42. Let x(m) = -4473*m**3 + 8*m**