What is the derivative of -23*s + 37*s + 47*s + 71 wrt s?
61
Let c(i) be the second derivative of i**5/5 + 5*i**3/3 + 6*i**2 - 50*i. Differentiate c(j) with respect to j.
12*j**2 + 10
What is the third derivative of 4 - 42*c**3 + 141*c**2 + 0 - 133*c**2 wrt c?
-252
Let u(f) be the third derivative of 181*f**7/210 - 9*f**3 - 229*f**2. Differentiate u(y) wrt y.
724*y**3
Let d(h) be the first derivative of 9*h**7 - 9*h**3 + 94. What is the third derivative of d(s) wrt s?
7560*s**3
Suppose 3*d + 3*q - 3 = 0, -24 - 16 = -4*d + 5*q. Find the second derivative of -5*m**3 + 9*m - d*m**3 + 2 - 2 wrt m.
-60*m
Let u be ((-14)/4)/((-1)/2). Suppose v + 5*h + 19 = 0, -5*h = 3*v - 0*h + u. Differentiate v - 1 + l - 1 wrt l.
1
Let i(d) be the first derivative of -203*d**6/6 + 115*d**3/3 + 180. What is the third derivative of i(b) wrt b?
-12180*b**2
Suppose -u = -1 - 2. What is the derivative of 7527*d**u - 13 - 7527*d**3 + 13*d**4 wrt d?
52*d**3
Let x = 40 - 29. Let r(i) = 2*i**3 - 7*i**2 - 2. Let c(h) = -10*h**3 + 35*h**2 + 11. Let k(a) = x*r(a) + 2*c(a). Find the third derivative of k(u) wrt u.
12
Let j(a) be the second derivative of a**4/12 - 4*a**3/3 + 6*a**2 - 2*a + 94. Find the first derivative of j(p) wrt p.
2*p - 8
Let n be 3/(48/52)*4. Find the third derivative of n*h**3 - 3 + 5*h**3 - 4*h**2 + 3 wrt h.
108
Let x(v) be the third derivative of 1/6*v**3 + 7/24*v**4 + 0*v**6 + 2*v**2 + 0*v - 2/35*v**7 - 3 + 1/30*v**5. What is the second derivative of x(m) wrt m?
-144*m**2 + 4
Suppose 0*u + 21 = 3*k + 5*u, 0 = 5*k - 2*u - 4. Find the second derivative of 2*l + 0*l - 2*l**2 + l + 0*l**k wrt l.
-4
Suppose 5 = -p, -2*y = -3*y - 2*p + 11. What is the second derivative of 13*h**2 + 3*h**2 - y*h - 39*h**2 - 14*h**2 wrt h?
-74
Let i be 3/5 + 38/(-5). Let z(t) = -t**2 - 7*t + 2. Let p be z(i). Differentiate 9 - 2 + 6*s**p + 4*s**3 - 6*s**2 with respect to s.
12*s**2
Let h(a) = 24*a**4 - 227*a**2 - 9*a - 9. Let s(c) = -11*c**4 + 113*c**2 + 4*c + 4. Let d(j) = -4*h(j) - 9*s(j). What is the third derivative of d(p) wrt p?
72*p
Let h(l) = 50*l**4 - 14*l**3 + 6*l + 90. Let z(w) = -50*w**4 + 12*w**3 - 5*w - 89. Let f(y) = 6*h(y) + 7*z(y). Find the first derivative of f(s) wrt s.
-200*s**3 + 1
Let t(z) = 254*z + 114. Let v(f) = 125*f + 57. Let p(x) = 4*t(x) - 9*v(x). What is the first derivative of p(y) wrt y?
-109
What is the first derivative of -222 + 4135*k**4 + 3*k**2 - 3923*k**4 - 2*k**2 wrt k?
848*k**3 + 2*k
Let o(t) = 157*t**2 - 20*t. Let v(m) = -79*m**2 + 10*m. Let n(i) = -6*o(i) - 11*v(i). Find the second derivative of n(y) wrt y.
-146
Let a be (-3)/1 + 3 - -2. Suppose 1 = a*s - 3. Find the third derivative of -s*y**6 - 2*y + 3*y - y - 5*y**2 wrt y.
-240*y**3
Let t(q) = -3*q + 26. Let p be t(8). Find the third derivative of -6*h**2 - h**5 - 8*h**p - 6*h**2 wrt h.
-60*h**2
Let w be ((-5)/(-15))/(5/30). Let n(b) be the first derivative of 0*b**3 + 0*b + 5 + 3/2*b**w - 4/5*b**5 + 0*b**4. Find the second derivative of n(t) wrt t.
-48*t**2
Let o(h) be the first derivative of 1/2*h**2 + h**3 - 4 - 5*h. Let l(r) be the first derivative of o(r). Differentiate l(s) with respect to s.
6
Let l(q) = 2*q**2 - 10. Let d(c) be the first derivative of 4 + 5/3*c**3 + 0*c**2 - 21*c. Let n(o) = 6*d(o) - 13*l(o). Differentiate n(h) with respect to h.
8*h
Let r(h) = -h**3 - 12*h**2 + 1. Let b be r(-12). Let k be (b - -1)/((-18)/(-45)). Find the first derivative of 2 - 2*u - u - k - 2 wrt u.
-3
Let z(v) = 5 + 2*v**2 - 7*v**2 + v**2 + 12*v**2. Let f(a) = -9*a**2 - 6. Let k(t) = 3*f(t) + 4*z(t). What is the first derivative of k(i) wrt i?
10*i
Suppose 6 = -0*x + x. Find the second derivative of -14*w**2 - w**2 + 31*w**2 - x*w wrt w.
32
Suppose -2*i - 4*d + 2 = -5*i, 2*d = -2*i + 8. What is the third derivative of 9*u**3 - 12*u**3 + 22*u**3 - 14*u**i wrt u?
114
Suppose 0 = 4*d - 5*s - 2, 17 - 3 = 2*d + 4*s. What is the second derivative of -7 - 3*k**5 - 14*k**5 + d*k - 7*k**3 + 7*k**3 wrt k?
-340*k**3
Let x(q) be the second derivative of -15/2*q**2 + 0 + 0*q**3 - 22*q - 5/6*q**6 + 0*q**5 + 0*q**4. Find the first derivative of x(l) wrt l.
-100*l**3
Let u = -8 - -11. What is the third derivative of -3 + 3 + u*d**2 - 2*d**4 wrt d?
-48*d
Let x = -66 + 70. Let y(p) be the third derivative of 1/6*p**x + 0*p - 5*p**2 - 2/3*p**3 + 0. Find the first derivative of y(z) wrt z.
4
Suppose -3 = -l + 4*w, -l - 5*w = -0*l - 3. What is the third derivative of -2*b**2 - b**2 - 6*b**3 + l*b**3 + 0*b**2 wrt b?
-18
Let l(r) = r - 1. Let m(y) be the third derivative of -11*y**4/24 - y**3/6 + 2*y**2. Let d(n) = -3*l(n) - m(n). What is the first derivative of d(b) wrt b?
8
What is the third derivative of -593*i - 590*i + 114*i**3 + 1183*i - 905*i**2 wrt i?
684
Let y be 12*2/18*3. Differentiate -y*a + a - 42 + 32 with respect to a.
-3
Let f(k) be the third derivative of k**8/112 + 61*k**6/60 - 3*k**4/4 + 5*k**3/6 + 324*k**2. What is the second derivative of f(v) wrt v?
60*v**3 + 732*v
Let x(z) be the first derivative of -63*z**2 + 73*z - 71. Find the first derivative of x(v) wrt v.
-126
Suppose 43*g + 10 = 48*g. Suppose f - 9 = -g*f. What is the first derivative of 9 - 10*b**4 + f*b**4 - 5*b**4 - b**4 wrt b?
-52*b**3
Let h = -33 - -23. Let c(r) = r**3 + 11*r**2 + 10*r + 5. Let p be c(h). Differentiate 4*j**2 + 7*j - p - 7*j wrt j.
8*j
Let y(l) be the first derivative of -176*l**5/5 - 2*l**3/3 + 19*l - 176. What is the derivative of y(x) wrt x?
-704*x**3 - 4*x
Suppose 2*r - 23 = 3*q - 5, r - 16 = 5*q. Suppose 4*d - 2*b = r*d - 16, 0 = b + 1. Find the third derivative of 3*u**3 - 6*u**3 + d*u**3 - 3*u**2 wrt u.
36
Let c(q) be the third derivative of -109*q**8/336 - 235*q**4/24 - 151*q**2. Find the second derivative of c(u) wrt u.
-2180*u**3
What is the first derivative of -1236 + 659 + 107*z**3 + 643 + 2*z**4 wrt z?
8*z**3 + 321*z**2
Let z = 160 - 157. Let k(o) be the second derivative of 0*o**z + 0 - 3/2*o**2 + 0*o**4 - 3/10*o**5 + 4*o. Find the first derivative of k(r) wrt r.
-18*r**2
Suppose -16 = -3*g + 2*n, -n - 1 = 4. Suppose -g*t + 0*b + b + 6 = 0, -t = b - 3. Find the third derivative of -19 + 7*f**t + 11 + 8 + 2*f**2 wrt f.
42
Let t(i) = 1014*i**3 + 5*i**2 + 13*i + 333. Let m(r) = 169*r**3 + r**2 + 2*r + 56. Let v(z) = -13*m(z) + 2*t(z). Find the third derivative of v(h) wrt h.
-1014
Let b(h) be the second derivative of -58*h**6/15 - 79*h**3/2 - 3*h + 24. Find the second derivative of b(z) wrt z.
-1392*z**2
Suppose 2*u + 5 = 9. Find the first derivative of 19*j**u - 22 - 10*j**2 + 15*j**2 wrt j.
48*j
Suppose -2*t - 4*t = -12. Find the third derivative of -16*w**2 + 9*w**4 - 14*w**t + 17*w**2 wrt w.
216*w
Let f(q) be the first derivative of -193*q**2/2 - 29*q + 207. Differentiate f(m) wrt m.
-193
Let c(s) be the first derivative of s**5/24 - s**4/12 - 6*s**3 + 17. Let a(f) be the third derivative of c(f). What is the first derivative of a(o) wrt o?
5
Let c(k) = 519*k**2 + 14*k + 8. Let u(z) = -516*z**2 - 13*z - 7. Let g(t) = 3*c(t) + 4*u(t). What is the second derivative of g(h) wrt h?
-1014
Let v(z) be the second derivative of -9/10*z**6 - 7*z + 0*z**5 + 0*z**4 + 0*z**3 - 5/2*z**2 - 4. What is the derivative of v(r) wrt r?
-108*r**3
Let i(s) = s + 1. Suppose -5*b - 5 = -4*g + g, 9 = -3*b + 3*g. Let d(r) = -r. Let q(l) = b*i(l) + 22*d(l). Differentiate q(a) wrt a.
-20
Suppose 3*r + 16 = 7*r. Find the first derivative of 12 - 11*a**r + 642*a**2 - 642*a**2 wrt a.
-44*a**3
Let u(x) be the first derivative of -x**2 + 0*x - 4 + 0*x**3 - 3/2*x**4. Find the second derivative of u(t) wrt t.
-36*t
Let d(g) be the second derivative of 0 + 2*g**3 + 9/2*g**2 - 14*g. Find the first derivative of d(c) wrt c.
12
Let d(p) be the first derivative of 0*p**5 + 0*p**3 + 0*p**4 - 13/6*p**6 + 0*p + 9/2*p**2 - 19. What is the second derivative of d(s) wrt s?
-260*s**3
Suppose -4*w - 4*x + x = -30, -3*x - 51 = -5*w. What is the third derivative of 10*f**2 + 9*f - w*f + 0*f + f**4 wrt f?
24*f
Let g(q) be the second derivative of 11/4*q**4 + 0*q**2 + 30*q + 0 - 17/3*q**3. What is the second derivative of g(d) wrt d?
66
Let s be -10*(1 - (-15)/(-10)). What is the third derivative of 2*m**4 - 2*m**4 - 14*m**s + 4*m**5 - 8*m**2 wrt m?
-600*m**2
Find the second derivative of 122*n**2 + 3 + 209*n - 210*n + 33 - 1 wrt n.
244
Let 