
-12*n - 36
Let f(z) = -194*z**3 + 8*z**2 + 47*z - 17. Let j(a) = 194*a**3 - 7*a**2 - 46*a + 16. Let u(i) = -6*f(i) - 7*j(i). What is the second derivative of u(s) wrt s?
-1164*s + 2
Let s(n) be the third derivative of 0*n**4 + 0*n**6 + 0 - 8*n**2 + 8/3*n**3 + 0*n**5 + 3/70*n**7 + 0*n. Differentiate s(y) with respect to y.
36*y**3
What is the third derivative of 60*m**6 + 129*m**6 + 6*m**6 - 311*m**2 + 68*m**6 wrt m?
31560*m**3
Let k(f) = 120*f**3 + 264*f**2 + 51. Let h(p) = 24*p**3 + 53*p**2 + 10. Let y(b) = -21*h(b) + 4*k(b). What is the third derivative of y(a) wrt a?
-144
Let x(r) be the third derivative of -87*r**5/10 + 158*r**3/3 + 7*r**2. Find the first derivative of x(g) wrt g.
-1044*g
Find the first derivative of -64*i + i**2 + 73*i + 27*i - 103 wrt i.
2*i + 36
What is the second derivative of -25 - 107*p**2 + 220*p**2 - p - 21 wrt p?
226
Let w(c) be the first derivative of 4*c**3/3 - c**2/2 + 64*c - 67. Differentiate w(y) with respect to y.
8*y - 1
Let c(x) = 6*x**3 + 8*x**2. Let v(r) = -8*r**2 - 16*r - 5*r**3 + 16*r. Let t = 13 - 18. Let i(a) = t*v(a) - 4*c(a). What is the third derivative of i(m) wrt m?
6
Suppose 168 = 9*v + 3*v. Find the second derivative of -11*w - 4*w**2 - 66*w**4 + 63*w**4 + v*w**2 + 54*w wrt w.
-36*w**2 + 20
Let v(h) = 13*h - 7. Let j = -17 - -28. Let k(b) = -25*b + 13. Let c(d) = j*v(d) + 6*k(d). Differentiate c(x) with respect to x.
-7
Let w(z) = 3*z + 34. Let g be w(15). What is the second derivative of 6*h**4 - g*h + 5*h**3 - 5*h**3 + 90*h wrt h?
72*h**2
Suppose -6 = 3*f - 0*f - 5*n, f - 2*n = -3. Let s(w) = -w**2 - 4*w. Let v be s(-3). Differentiate -6*z**v - 64 - z**f + 69 wrt z.
-21*z**2
Suppose -4*c + 6 = -2*c. Let l = -11 - -19. What is the second derivative of d - d + l*d**4 + c*d - 5*d wrt d?
96*d**2
Let m be (1 - 0)*25 + -2. Find the second derivative of -13 + 11*w**5 + m - 10 - 5*w wrt w.
220*w**3
Let x(h) = h - 3*h - 13 - h + 0*h. Let z(u) = 2*u + 14. Let n(y) = -3*x(y) - 2*z(y). What is the derivative of n(m) wrt m?
5
Suppose 46 + 9 = 5*a. Suppose 6*n + 15 = a*n. What is the derivative of 9 - 1 + 7*u**n - 9 wrt u?
21*u**2
Suppose 1 + 9 = o. Find the third derivative of 11*m**2 + o*m**4 + 3*m**2 - 7*m**4 + 7*m**4 wrt m.
240*m
Let c be ((-6)/7)/(3/(-14)). Find the second derivative of -c*i**4 - 8*i + 23*i**2 - 23*i**2 wrt i.
-48*i**2
Suppose 5*o - 13 = 2. What is the second derivative of -10*c**5 - 25*c**3 + 25*c**o - 21*c wrt c?
-200*c**3
Let m be 6*(-7)/(-252) - 71/(-6). Find the second derivative of 45*s + 0 + m*s**2 + 0 - 52*s wrt s.
24
Suppose 0*a + 4*a - 80 = 0. Suppose -5*y = -2*q - a, y = 4*q + 21 + 1. What is the derivative of -5 - 4*p**y - 10*p + 10*p wrt p?
-8*p
Let u(p) = -131*p**3 + 17*p - 96. Let x(i) = -22*i**3 + 3*i - 16. Let q(a) = -6*u(a) + 34*x(a). What is the derivative of q(w) wrt w?
114*w**2
Suppose 0*h = -h. Suppose 10 = -h*w + 5*w. What is the first derivative of -2*c**2 - c**w + 0 + 5*c**2 + 4 wrt c?
4*c
Find the third derivative of -i - 5*i**4 - 29*i**2 + 20*i**2 + 6*i**2 + 3*i**3 wrt i.
-120*i + 18
Let t(u) = 101*u - 88. Let l(m) = 205*m - 177. Let v(k) = 3*l(k) - 7*t(k). Differentiate v(i) wrt i.
-92
Let j(z) = -z + 4. Suppose -q - 15 = -4*o, 0*q + 3*q = 2*o - 15. Let y be j(o). Differentiate -4*n**3 + 7*n**3 - y + 2*n**3 wrt n.
15*n**2
Let m = -29 + 41. Find the second derivative of -18*g**4 - 1 - 26*g + m*g + 1 wrt g.
-216*g**2
Let w = -18 - -24. What is the third derivative of 8*j**3 + j**3 - 3*j**3 - w*j**2 - 14*j**3 wrt j?
-48
Suppose 5*x - 228 = -5*b - 13, 5*b - 20 = 0. What is the first derivative of -7*c + 8*c + x - 10*c - c wrt c?
-10
Let x(a) = 164*a - 163*a - 6 + 1 - 8. Let s be x(18). Find the second derivative of 97*l**s + 10*l - 87*l**5 + 0*l wrt l.
200*l**3
Find the first derivative of 252*j**2 - 40*j**2 - 74 + 28*j**2 + 573 wrt j.
480*j
Let t(u) be the second derivative of u**5/4 - 8*u**3/3 + 31*u**2 - 241*u. Differentiate t(n) with respect to n.
15*n**2 - 16
Suppose 4*d - 1 = 3*d. Let r = d + 3. Find the third derivative of 6*i**2 - 2*i**r - 6*i**2 - 4*i**2 wrt i.
-48*i
Let h(g) be the third derivative of -33*g**5/20 - 13*g**3/2 + 150*g**2. What is the derivative of h(r) wrt r?
-198*r
Find the first derivative of 43 - 22*l - 53*l**2 + 44*l - 22*l wrt l.
-106*l
Let p(t) be the third derivative of t**10/75600 - t**6/60 + t**5/15 + 9*t**2. Let m(j) be the third derivative of p(j). Find the first derivative of m(q) wrt q.
8*q**3
Let i(r) be the second derivative of -3/4*r**4 - 6*r + 0*r**6 + 0*r**5 + 0 + 0*r**2 + 0*r**3 + 1/42*r**7. Find the third derivative of i(q) wrt q.
60*q**2
Find the second derivative of -83*l**2 + 2*l + 3*l - 14*l + 30 + 11*l wrt l.
-166
Suppose 4*g - 28 = -0*g. Suppose 0 = j - g*j + 48. Find the second derivative of -1 + 3*o**3 + 1 - 19*o + j*o wrt o.
18*o
Let y(c) = 7*c - 15. Let p(m) = 3*m - 3. Let k(l) = 9*l - 10. Let n(f) = -4*k(f) + 11*p(f). Let a(v) = -13*n(v) - 6*y(v). Differentiate a(g) with respect to g.
-3
Let o = 10 + -7. What is the first derivative of -14*r**o + 2*r**3 + 0*r**3 + 6 wrt r?
-36*r**2
Let h(x) be the first derivative of 0*x**4 + 3*x - 12 + 0*x**2 + 0*x**3 - 9/5*x**5. What is the first derivative of h(t) wrt t?
-36*t**3
Suppose 3 + 13 = 4*x. Let h(t) = -t**3 + 4*t**2 + t - 2. Let r be h(4). What is the second derivative of 2*d**4 - 7*d**x + 0*d**4 - r*d wrt d?
-60*d**2
Find the first derivative of 2 - 9 - 15*y**3 + 32*y**3 - 34*y**2 + 106*y**2 - 18*y**3 wrt y.
-3*y**2 + 144*y
Let g(b) be the second derivative of b**7/42 - 7*b**4/4 - 11*b**3/3 - 40*b. Find the second derivative of g(h) wrt h.
20*h**3 - 42
Let a(v) be the first derivative of -9*v**6 + 4*v**3 - 2*v - 60. Find the third derivative of a(k) wrt k.
-3240*k**2
Let x = -356 + 359. Let k(m) be the second derivative of 0*m**2 + 0*m**4 - 3*m + 0*m**5 + 0 + 2/15*m**6 - 1/3*m**x. What is the second derivative of k(h) wrt h?
48*h**2
Let r(l) be the third derivative of -3/5*l**5 - 4/35*l**7 - 8*l**2 + 0 + 0*l**6 + 0*l + 0*l**4 + 0*l**3. What is the third derivative of r(m) wrt m?
-576*m
Let l = 5 + 1. Suppose -4*w - 2*v = -4*v - l, 2*w = -5*v + 21. Find the first derivative of w - m**2 + 0 - 4*m**2 - 1 wrt m.
-10*m
What is the derivative of 5 - 14 - 13*h**4 - 14 + 10*h**3 - 3*h**3 wrt h?
-52*h**3 + 21*h**2
Let j(k) be the first derivative of 3*k**4/4 + 116*k**3/3 + 224*k - 200. What is the derivative of j(o) wrt o?
9*o**2 + 232*o
Suppose 4 = -4*p - 4*b, -4*p = -4*b + b - 31. Let h(n) be the second derivative of 1/6*n**3 + 0 + p*n - 1/2*n**2. What is the first derivative of h(z) wrt z?
1
What is the third derivative of -3780*h**3 - 30*h**2 + 3780*h**3 + 171*h**5 wrt h?
10260*h**2
Let c be 0 + (18/3)/3. What is the third derivative of 0*j**2 - j**6 + 9*j**6 - 4*j**c - 2*j**2 wrt j?
960*j**3
Let f(u) = u + 21. Let m be f(-16). Find the second derivative of -17*q - m*q**3 + 5*q**3 - 10*q**5 wrt q.
-200*q**3
Let b(u) be the first derivative of u**3/3 - 3*u**2 - 129*u + 175. Find the first derivative of b(c) wrt c.
2*c - 6
What is the derivative of -10*h**2 - 19*h**2 - 1 + 27*h**2 + 2*h**4 wrt h?
8*h**3 - 4*h
Find the third derivative of 1804*s**5 - 5*s**6 - 113*s**2 - 1804*s**5 - 18*s**3 wrt s.
-600*s**3 - 108
Let x(z) be the second derivative of 124*z**7/7 + z**4/12 - 11*z**2/2 - 722*z. Find the third derivative of x(y) wrt y.
44640*y**2
Let m = 1211/540 + 1/135. Let o(r) be the first derivative of -m*r**4 - 4*r**2 - 5 + 0*r**3 + 0*r. What is the second derivative of o(t) wrt t?
-54*t
Suppose 0 = -0*f + 3*f - 9. What is the second derivative of -h - 3 + f - 2*h**4 + 0 wrt h?
-24*h**2
Let r(j) = -383*j**5 + 14*j**2 + j - 10. Let q(a) = 2*a**2. Let n(v) = 7*q(v) - r(v). What is the second derivative of n(c) wrt c?
7660*c**3
Find the first derivative of 202 - 526*y + 194*y + 150*y wrt y.
-182
Let a(l) be the first derivative of 7*l**4 - l**3 + 8*l - 9. What is the third derivative of a(s) wrt s?
168
Find the third derivative of -117*k**6 + 0*k**2 + 415*k**6 + 18*k**2 - 54*k**2 wrt k.
35760*k**3
What is the second derivative of -16*n**5 - n - 80*n**5 + 12 + 63*n**3 - 63*n**3 wrt n?
-1920*n**3
Suppose 7*r - 10260 = -2*r. Find the first derivative of -p + 1125 - r - 7*p wrt p.
-8
Suppose -10 = -5*c, 3*q - 4*q = -2*c + 1. What is the third derivative of 0*d**2 + 