t q = 87 + -69. Differentiate 23*f - 10*f + 27 + q*f wrt f.
31
Let n(g) = -176*g**3 - 6*g**2 - 6*g - 175. Let a(q) = -178*q**3 - 5*q**2 - 5*q - 176. Let r(k) = 6*a(k) - 5*n(k). Find the first derivative of r(d) wrt d.
-564*d**2
Let m = -167 - -170. Let z(h) be the third derivative of 0*h + 0 + 1/6*h**3 - 5/24*h**4 - m*h**2. What is the derivative of z(j) wrt j?
-5
Let o(i) = 7*i - 6. Suppose 6*r + 3 = -3. Let w(j) = j. Let k(f) = r*o(f) + 3*w(f). What is the derivative of k(x) wrt x?
-4
Let i(b) = 24*b**3 + 2*b + 19. Let g(x) = -156*x**3 - 5 - 71 - 8*x + 61*x**3. Let o(z) = 2*g(z) + 9*i(z). What is the second derivative of o(j) wrt j?
156*j
Let n(s) = -s**2 - s. Let r(a) = a**3 + a - 1. Let h be r(0). Let x be n(h). Find the third derivative of -o**3 + 2*o**2 + x*o**3 + 8*o**2 wrt o.
-6
Let f(h) be the second derivative of 55*h**7/14 - 14*h**4/3 - h**3/3 - 11*h + 3. What is the third derivative of f(d) wrt d?
9900*d**2
Let d(c) be the second derivative of c**6/10 + c**4/3 + 15*c**2/2 + 2*c. Let z(s) = 2*s**4 + 5*s**2 + 16. Let k(o) = -5*d(o) + 4*z(o). Differentiate k(r) wrt r.
-28*r**3
Let x(y) = 13*y + 5*y + 12*y + 11 - 26*y + 7*y. Let n(a) = -22*a - 21. Let l = 8 - 12. Let m(t) = l*n(t) - 7*x(t). Differentiate m(c) with respect to c.
11
Let c(m) be the first derivative of m**8/420 - 7*m**5/40 + 7*m**3/3 + 13. Let d(r) be the third derivative of c(r). Find the second derivative of d(p) wrt p.
48*p**2
Let u be -1 + ((-4)/(-4) - -3). Find the second derivative of 23*i**3 + 0*i**u + i**3 + 5*i wrt i.
144*i
Let w(y) be the second derivative of 37*y**5/10 + y**4/12 - y**3/2 + 19*y**2/2 + 2*y + 43. What is the second derivative of w(a) wrt a?
444*a + 2
Let l(h) = 58*h**2 + 30*h - 482. Let z(v) = 31*v**2 + 15*v - 242. Let r(k) = -3*l(k) + 5*z(k). Differentiate r(m) wrt m.
-38*m - 15
Find the third derivative of 93*k**3 - 8*k**2 + 16*k**4 - 88*k**3 + k + 5*k**4 - 89*k**2 wrt k.
504*k + 30
Suppose -2*z + 0*z = -4. Suppose -3*g + 4*g - z = 0. Find the third derivative of 3*x**4 - 26*x**2 + 21*x**g + 2*x**4 wrt x.
120*x
Suppose 5 = 3*f - t, 0 = -4*f + 2*t + 2*t - 4. Suppose q = f*q. Find the second derivative of 5*d + 16*d**3 + q*d - 29*d**3 wrt d.
-78*d
Let a(g) be the first derivative of 0*g**5 - 1/4*g**4 + 1/3*g**6 - 44/3*g**3 + 7 + 0*g + 0*g**2. Find the third derivative of a(c) wrt c.
120*c**2 - 6
Let p(b) be the third derivative of 43*b**6/40 - b**5/20 + 7*b**4/6 - 530*b**2. What is the third derivative of p(q) wrt q?
774
Let g be ((-12)/(-24))/(1/6). Differentiate 9*i**3 + 9 - 13*i**4 + 4*i**g - 13*i**3 wrt i.
-52*i**3
What is the second derivative of -143*j - 232*j**5 - 167*j - 33*j - 131*j**5 + 102*j wrt j?
-7260*j**3
Suppose -2*b + 2 = 0, 4*n - 13 = 4*b + 19. Suppose 4*a - 124 = 328. Find the second derivative of n*i + 113*i**2 - i**3 - a*i**2 wrt i.
-6*i
Let q(b) be the first derivative of 2*b**5/5 + 21*b**4/2 - b**3/3 + 14*b - 16. Find the third derivative of q(a) wrt a.
48*a + 252
Let d(l) = -1 - 2*l + 7*l + 4*l. Let b(j) = -j. Let x = 417 - 412. Let p(r) = x*b(r) + d(r). Differentiate p(o) wrt o.
4
Let p(a) be the second derivative of a**4/4 + 5*a**3/3 - 250*a**2 - 282*a. Find the first derivative of p(n) wrt n.
6*n + 10
Let u(x) = 78*x**2 - 437*x - 26. Let i(t) = -13*t**2 + 73*t + 4. Let p(r) = -13*i(r) - 2*u(r). What is the second derivative of p(s) wrt s?
26
Let k(u) = 262*u**2 - 12*u + 247. Let b(z) = -522*z**2 + 28*z - 493. Let c(w) = -6*b(w) - 14*k(w). Differentiate c(v) wrt v.
-1072*v
Let h(a) = a**2 + 7*a + 11. Let f be h(-6). What is the second derivative of -2*z + f*z**4 + 5*z - z + 2*z wrt z?
60*z**2
Let h = 4 + 0. Suppose -h*c + 0*c = -8. Find the second derivative of c*q + 0 - 7*q + 0 - 7*q**3 wrt q.
-42*q
Let a be (-1)/(-3) - (-5)/3. Suppose 2*x - 6 = a*r - 6*r, 5*r + 3*x - 5 = 0. What is the first derivative of 2 + j**3 - 5*j**3 - 3 - r wrt j?
-12*j**2
Differentiate 402*c + 205*c - 479 - 98*c + 28*c wrt c.
537
Suppose o - 21 = -8. What is the second derivative of -14*h - o*h**2 + 8*h - 3*h**2 wrt h?
-32
Differentiate -34*n**2 + 41*n**4 + 11*n**4 + 32*n**2 - 9 - 26 wrt n.
208*n**3 - 4*n
Differentiate 7*k**2 - 134 - 132*k**2 - 4*k**2 + 2*k with respect to k.
-258*k + 2
Let y(q) be the second derivative of 145*q**6/6 + 5*q**4/4 + 3*q**3/2 + 584*q. Find the third derivative of y(k) wrt k.
17400*k
Let b = 43 + -37. Find the third derivative of b*m**3 - 2*m**2 - 5*m**2 - 12*m**2 wrt m.
36
Find the second derivative of -24*m**3 + 8 - 153*m**5 - 168*m**5 + 326*m**5 + 6*m wrt m.
100*m**3 - 144*m
Let r(z) be the first derivative of 18 - 7*z**2 - 17/4*z**4 + 0*z + 0*z**3. What is the second derivative of r(t) wrt t?
-102*t
Let k = 31 - 29. What is the third derivative of 8*p**2 + 7*p**2 + 14*p**4 - 13*p**k wrt p?
336*p
Let g(r) be the first derivative of -17*r**9/3024 + r**5/8 + 2*r**3 + 13. Let h(y) be the third derivative of g(y). Find the second derivative of h(z) wrt z.
-340*z**3
Suppose 16 = -x + 3*x. Let y = -5 + x. What is the third derivative of -y*c**4 + c**2 - 3*c**2 + c**4 wrt c?
-48*c
Let k(z) = -13*z**4 - 12*z**3 + 6*z**2 + 13*z + 524. Let x(t) = t**4 - 2*t**3 + t**2 + t - 1. Let q(u) = -k(u) + 6*x(u). Differentiate q(d) with respect to d.
76*d**3 - 7
Let z(b) = -b**3 - 2*b**2 + 3*b + 4. Let c be (-2)/1 + -4 + 3. Let i be z(c). Find the second derivative of 47 - 4*a + i*a**2 - 47 wrt a.
8
Let s(t) be the third derivative of 185*t**4/24 + 149*t**3/6 + 156*t**2. What is the derivative of s(q) wrt q?
185
Let v be ((-54)/(-72))/((-3)/(-8)). Let p(k) be the first derivative of -5/3*k**3 - 8*k + 0*k**v - 1. Differentiate p(b) with respect to b.
-10*b
Let j(x) be the third derivative of -16*x**5/15 - 47*x**4/24 - 7*x**2 - 5. What is the second derivative of j(y) wrt y?
-128
Let q(u) be the first derivative of -u**5/5 + 10*u**4 + 20*u + 162. What is the first derivative of q(j) wrt j?
-4*j**3 + 120*j**2
Let p = 7 - -8. Let y(r) = r**2 - 16*r + 18. Let q be y(p). What is the third derivative of -12*h**4 + q*h**2 - 3*h**4 + h**4 wrt h?
-336*h
Differentiate 531 - 7 + 57*s**3 - 2*s**4 + 91 - 12 wrt s.
-8*s**3 + 171*s**2
Let x(y) = -46*y + 110. Let l(i) = 80 + 77 + 9*i - 179. Let d(h) = 11*l(h) + 2*x(h). Differentiate d(j) wrt j.
7
Let m(q) = 147*q**4 + 277*q**2 + q - 1. Let n(d) = 2*d**5 - d**2 - d + 1. Let x(o) = -m(o) - n(o). Find the third derivative of x(a) wrt a.
-120*a**2 - 3528*a
Let z(j) be the first derivative of -193*j**4/4 - 32*j**3/3 - 546. Find the third derivative of z(l) wrt l.
-1158
What is the second derivative of -2*d**4 + d**4 - 19*d - 29*d**3 + 23026 - 23027 wrt d?
-12*d**2 - 174*d
Suppose -f + 4 = -6. Let g(c) = -c**3 + 9*c**2 + 11*c - 10. Let b be g(f). What is the third derivative of -19*w**3 + b*w**5 + 19*w**3 - 2*w**2 - 2*w**5 wrt w?
-120*w**2
Let m(a) = a**3 + 8*a**2 + 7*a - 7. Let b be m(-7). Let d = b + 12. What is the second derivative of 11*f**3 - f**d - 11*f**3 - 4*f wrt f?
-20*f**3
Suppose 20 = h + h - 4*u, -4*h = -4*u - 24. What is the second derivative of -h*y + 5*y**3 - 2*y**3 - 11*y**3 + 4*y**3 wrt y?
-24*y
Suppose -25 = 4*w - w + 2*p, -24 = 4*w - 2*p. Let a(b) = -2*b - 14. Let j be a(w). Differentiate -7*f - 4 - f + j with respect to f.
-8
Let r(w) = 26*w**3 - 17*w**2 + 38. Let g(d) = 9*d**3 - 6*d**2 - 5*d + 0*d + 5*d + 13. Let o(p) = -17*g(p) + 6*r(p). What is the first derivative of o(b) wrt b?
9*b**2
Differentiate 27 + 52 + 15 + 14 - 94*z**3 wrt z.
-282*z**2
Let x(d) be the first derivative of -6*d**5/5 - 5*d**4/2 + 20*d**3/3 - 5*d**2/2 - 333. What is the third derivative of x(s) wrt s?
-144*s - 60
Let m be (-10 + 1 + 0)*18/(-27). What is the third derivative of -9*k**2 - k**5 - 12*k**3 - 9*k**3 - m*k**2 wrt k?
-60*k**2 - 126
Let a(k) = -16*k**3 + 2*k + 2. Let r be a(-1). What is the first derivative of -22 - 31 + 35*q + r wrt q?
35
Find the second derivative of 9*x**5 + 28*x + 85*x + 21*x**5 + 3*x**5 wrt x.
660*x**3
Let m(r) = 104*r + 61. Let l(g) = -416*g - 247. Let c(z) = -3*l(z) - 13*m(z). What is the derivative of c(b) wrt b?
-104
Suppose -23 + 47 = 6*i. What is the derivative of -17*g**i - 17*g**4 + 48*g**4 - 17 - 24*g**4 wrt g?
-40*g**3
Let s(x) be the first derivative of 4*x**2 - 1/20*x**5 - 3*x + 0*x**4 + 4 + 0*x**3. Let t(j) be the first derivative of s(j). Differentiate t(h) wrt 