et l be k(-16). Suppose 174 = b - l. What is the first derivative of 5 - 472*v**2 + b*v**2 - 1 wrt v?
16*v
Let l(v) be the first derivative of v**2/2 + 14*v - 2. Let t be l(-12). Find the second derivative of 12*k**3 + 206*k**t - 206*k**2 - 3*k wrt k.
72*k
Let x(f) be the second derivative of 9*f**3 - 28*f**2 + 10*f - 2. What is the derivative of x(i) wrt i?
54
Let u(l) = l**2 + 1. Let q = 26 - 25. Let b(p) = 20*p**3 + 24*p**2 - 6. Let o(m) = q*b(m) + 6*u(m). What is the third derivative of o(d) wrt d?
120
What is the first derivative of 122*s**4 - 58*s**4 + 59*s**4 + 75*s**4 - 80 wrt s?
792*s**3
Let k(d) be the second derivative of 35*d**3/6 - 44*d**2 - 64*d. Differentiate k(l) wrt l.
35
Let h(a) = a**3 + 5*a**2 - a + 7. Let x be h(-5). Suppose -5*f + 1 = 4*c - 2, 3*f = c + x. What is the second derivative of n + 9*n**3 + 4*n + n**f wrt n?
60*n
Let m = 3 - 1. Suppose -5*k + 5*n = 10, -5*k - 2 + 4 = -2*n. What is the third derivative of 2*t**k + 2*t**2 - t**6 + m*t**6 + t**2 wrt t?
120*t**3
Let d(q) be the second derivative of 10*q - 7/6*q**3 + 0 - 4*q**2. Differentiate d(w) with respect to w.
-7
Suppose 5*p = 13*p - 600. Find the second derivative of v**4 - p*v + 14*v**4 + 79*v wrt v.
180*v**2
Differentiate x - 13*x**3 - 8*x**3 + 10 + 78*x**3 wrt x.
171*x**2 + 1
Let l(r) = 18*r**3 + 423*r**2 + 778*r - 5. Let t(q) = 40*q**3 + 847*q**2 + 1555*q - 11. Let h(s) = -11*l(s) + 5*t(s). Find the second derivative of h(f) wrt f.
12*f - 836
Suppose 3*r - 6 = 2*k + 2*r, 30 = -2*k - 5*r. Let j be (-12)/k + (-2)/5. Find the third derivative of -79*c**3 - 2*c**2 - 5*c**j + 74*c**3 wrt c.
-30
Let u(o) = -111 + 3*o + 112 - 2*o. Let m(v) = -6*v**3 + 4*v**2 + 3*v + 3. Let k(y) = m(y) - 3*u(y). Find the third derivative of k(b) wrt b.
-36
Let t(s) = 5 - 13*s**3 - 13*s**3 + 20*s**3 + 11*s**2. Let x(h) = -3*h**3 + 5*h**2 + 2. Let p(k) = -2*t(k) + 5*x(k). Find the third derivative of p(c) wrt c.
-18
Let a = -15 - -18. Suppose 13 = 5*i - 3*b, -3*i + 11 = i - a*b. What is the second derivative of -2*c + 4*c**3 - 12*c**3 - 2 + i wrt c?
-48*c
What is the second derivative of -2 - 403*a - 19 + 397*a - 676*a**4 wrt a?
-8112*a**2
Let j(m) be the second derivative of 0 + 35/12*m**4 + 4*m**2 + 0*m**3 + 26*m. Differentiate j(k) wrt k.
70*k
Let f(w) be the first derivative of 0*w**2 - 3/4*w**4 + 2 + 7*w + 0*w**3. Differentiate f(b) wrt b.
-9*b**2
Let h = -7 - -9. What is the second derivative of -8*l - 4*l**2 + 11*l**2 + 9*l**h wrt l?
32
Let w(a) be the third derivative of 0*a + 17*a**2 - 1/8*a**6 + 2/3*a**3 + 0*a**5 + 0*a**4 + 0. What is the derivative of w(k) wrt k?
-45*k**2
Let w(f) be the first derivative of -31*f**6 + 4*f**2 - 408. What is the second derivative of w(j) wrt j?
-3720*j**3
Let x(p) be the second derivative of -9*p**5/20 - 7*p**3/6 - 10*p**2 - 37*p. What is the derivative of x(t) wrt t?
-27*t**2 - 7
Find the first derivative of -74*o**3 - 103 - 63 + 132 wrt o.
-222*o**2
Suppose -4*w - 3*n = -31, -5*w + 49 - 4 = 5*n. Let j be (3 - 0)*4/3. Differentiate 7*l**4 - l**4 - 3*l**w + 2 - j wrt l.
12*l**3
What is the second derivative of -284*f**4 - 3*f + 52*f - 12*f wrt f?
-3408*f**2
Let f(j) be the third derivative of j**5/10 - 7*j**4/24 + 11*j**3 + 12*j**2 - 2*j. Differentiate f(y) wrt y.
12*y - 7
Let t(z) be the second derivative of -7/4*z**4 - 4/3*z**3 + 0*z**2 - 4*z + 0. What is the second derivative of t(j) wrt j?
-42
What is the third derivative of 1 - 43*d**2 + 134*d**2 - 28*d**2 - d + d + 9*d**3 wrt d?
54
Let k(b) = 12*b - 5. Let n(t) = -2*t. Suppose 8*m + 22 = -138. Let v(p) = m*n(p) - 5*k(p). What is the first derivative of v(z) wrt z?
-20
Let v(l) = 153*l + 298. Let k(i) = 3*i - 1. Let h(z) = -6*k(z) + v(z). What is the first derivative of h(b) wrt b?
135
Suppose -n - 4*i = -20, n + 3*i = -2*i + 15. Find the first derivative of -19 - n*l**2 - 17 - 5 + 0 wrt l.
-80*l
Let g(a) = 261*a**2 + 159*a + 7. Let q(y) = -131*y**2 - 82*y - 4. Let r(l) = -3*g(l) - 5*q(l). Find the second derivative of r(s) wrt s.
-256
Differentiate -6 - 471*z + 447*z + 94 with respect to z.
-24
Let w(n) = 17*n**2 + 4*n + 98. Let s(r) = 50*r**2 + 11*r + 293. Let i(x) = 4*s(x) - 11*w(x). What is the first derivative of i(z) wrt z?
26*z
Let v(p) = p**3 + p**2 - p + 1. Let i(a) = -30*a**3 - 66*a**2 - 5*a + 5. Let z(f) = -i(f) + 5*v(f). What is the third derivative of z(o) wrt o?
210
Let z(u) = -u**3 - 12*u**2 - 5*u - 21. Let k be z(-12). What is the second derivative of -621 - k*y + 621 + 11*y**4 wrt y?
132*y**2
Let r(o) = -9*o - 9. Let t(z) = z + 6 + 4*z + z. Suppose -60 - 17 = -11*m. Let i(h) = m*t(h) + 5*r(h). Find the first derivative of i(x) wrt x.
-3
Let t(c) be the second derivative of -36*c + 0 + 7/20*c**5 + 19*c**2 + 0*c**3 + 0*c**4. Differentiate t(m) wrt m.
21*m**2
Let n(v) be the first derivative of 11*v**7/210 - v**5/5 + 5*v**2/2 + 7. Let x(c) be the second derivative of n(c). Find the third derivative of x(g) wrt g.
264*g
Let k be 3/6*-4*(6 - 8). What is the second derivative of 4*a + 2*a + 3*a**4 + 2*a**4 + 11*a**k wrt a?
192*a**2
Let o be (-40)/(-140) - (-38)/14. Find the second derivative of -11*v**2 - 6*v**2 + o*v**5 + 17*v**2 - 6*v wrt v.
60*v**3
Let j(z) be the third derivative of z**7/70 - 3*z**6/40 - 65*z**3/6 - 79*z**2. What is the derivative of j(d) wrt d?
12*d**3 - 27*d**2
Let l = 14 + -9. Find the third derivative of -6*h**2 - 85*h**3 + 76*h**3 - l*h**2 wrt h.
-54
Let w(v) be the first derivative of 61*v**6/6 - 20*v**3/3 - 5*v - 23. What is the third derivative of w(x) wrt x?
3660*x**2
Suppose 3*u = 3*v - 2*u + 82, -5*v - u = 146. Let c = v + 31. Find the third derivative of 237*d + 10*d**c - 3*d**5 - 237*d wrt d.
-180*d**2
Let h be (-2)/7 + (-37)/(-7). Suppose 6 = 3*w + j, -5*w + 6*w + 2*j - 2 = 0. Find the second derivative of -2*z + w*z + 10*z**h + z wrt z.
200*z**3
Let r be -1*(2 - (2 + -6)). Let t = r - -7. Find the first derivative of 3 + 9*h - t - 3 - 2 wrt h.
9
Let t(k) be the first derivative of -k**6/15 - k**4/3 + 9*k**2 - 7. Let b(z) be the second derivative of t(z). Find the second derivative of b(u) wrt u.
-48*u
Let u(y) = y**3 - 3*y**2 + 2*y - 2. Let x = -10 - -13. Let q be u(x). What is the second derivative of d - q*d**2 - 8*d + 2*d wrt d?
-8
Let c(b) = 41*b**2 - 17*b - 748. Let h(a) = 10*a**2 - 4*a - 187. Let n(w) = -2*c(w) + 9*h(w). Find the first derivative of n(o) wrt o.
16*o - 2
Let o be -4*3*(-5)/2. Suppose 4*b - o = 2*b + 5*f, b - 1 = -f. What is the derivative of 5 - 1 + b + 1 - 12*c**3 wrt c?
-36*c**2
Let b(n) be the second derivative of -n**6/60 + n**4/2 + 9*n**2/2 + 4*n. Let r(a) be the first derivative of b(a). What is the second derivative of r(j) wrt j?
-12*j
Let a(g) = -2*g - 14. Let z be a(-7). Let s(b) = -b + 2. Let o be s(z). Find the third derivative of 0*i**o - i**4 + i**4 - 6*i**2 - i**4 wrt i.
-24*i
Suppose 4*i + 5*y = 20, 4*i + 2*y + 5 = 5*i. Let m be (5 + 0)/(-4 + i). Find the third derivative of -2*o**2 + 3*o**m - o**2 + 7*o**2 wrt o.
180*o**2
Suppose -4*m = -15 + 3. Suppose -m*u = -0*b - 3*b - 6, -16 = -3*u - 2*b. What is the third derivative of 0*q**4 + 5*q**2 - 6*q**2 - u*q**4 - 2*q**2 wrt q?
-96*q
Let r = 319 - 317. Let k(h) be the first derivative of r*h**2 + 2/3*h**3 + 1 + 0*h. What is the second derivative of k(l) wrt l?
4
Let f(n) be the first derivative of 63*n**2/2 + 150*n - 38. What is the first derivative of f(w) wrt w?
63
Suppose 0 = 4*v + 3*k - 6*k + 11, 20 = 4*k. Find the second derivative of -21*t**3 + 84*t + v - 55*t - 1 wrt t.
-126*t
Let x(n) be the first derivative of -29*n**4/12 + 25*n**2 - 36*n - 17. Let p(f) be the first derivative of x(f). Differentiate p(m) wrt m.
-58*m
Find the third derivative of 317*u**2 + 52726*u**4 + 437*u**2 - 52791*u**4 wrt u.
-1560*u
Let k be (-56)/(-6) - (-12)/18. What is the third derivative of -23 - 22*y**5 + 42 - k*y**2 - 19 wrt y?
-1320*y**2
Suppose -7 = -8*w + 225. Let s = w + -23. What is the third derivative of 105*o**5 - 105*o**5 - 7*o**2 + 7*o**s wrt o?
840*o**3
Let p(z) be the second derivative of 7*z**3/2 + 23*z**2 - 2*z - 34. What is the first derivative of p(x) wrt x?
21
Find the second derivative of -131*o**3 + 56*o**3 + 61*o**3 - 3*o**2 - 12*o + 79*o + 5 wrt o.
-84*o - 6
Let p(y) = -y**3 + 6*y**2 - 6*y - 1. Let i be p(5). Let j = -2 - i. What is the fir