 the second derivative of 2*m**5 + 5*m**p - 32*m + 33*m wrt m.
140*m**3
Let w(r) be the first derivative of -7*r**6/30 + r**4/12 - 11*r + 1. Let s(n) be the first derivative of w(n). Find the third derivative of s(d) wrt d.
-168*d
Suppose 8 + 0 = 4*x, g - 2*x = 0. Let u be (-3 + -3 + -3)*2/(-6). Find the first derivative of g + c**2 + 0 + u - 2 wrt c.
2*c
Suppose -2*a + 8 = 2*a. What is the first derivative of 4 + 3 + 2 + a*p**4 wrt p?
8*p**3
Let r be (-4)/(-16)*4*4. What is the second derivative of 3*m - 14 + 2*m**r + 14 wrt m?
24*m**2
Suppose -6*p - 450 = -11*p. Find the first derivative of -18*x - 3*x - 89 + p wrt x.
-21
Let p(w) = -4*w**3 - 12*w**2 - 146*w - 2. Let y(c) = -4*c**3 - 11*c**2 - 146*c - 3. Let g(t) = 3*p(t) - 2*y(t). Find the second derivative of g(h) wrt h.
-24*h - 28
Let z be -106 - -99 - (-9 - (-4 + 2)). Let n(j) be the second derivative of z*j**3 + 0 - 5/6*j**4 + 6*j + 7/2*j**2. What is the first derivative of n(v) wrt v?
-20*v
Let b(d) = -2*d + 34. Let m be b(16). What is the third derivative of 14*h**2 - 6*h**m - 3*h**4 + 9*h**4 + 2*h**4 wrt h?
192*h
Let l be 18/9 + (-4)/(-2). Differentiate 0*z + 7*z + 30*z**2 - 7*z + l wrt z.
60*z
Suppose 12*d = 13*d - 3. Find the second derivative of 11*n - 8*n + 24*n + 4*n**d + 3*n wrt n.
24*n
Let k(x) be the first derivative of 3*x + 0*x**2 - 42 + 19/3*x**3. What is the derivative of k(q) wrt q?
38*q
Let r(b) be the first derivative of 0*b**3 + 0*b**2 - 21 - 11*b - 23/4*b**4. What is the first derivative of r(n) wrt n?
-69*n**2
Let k(o) be the second derivative of 27*o**5/4 - 44*o**2 - 11*o - 2. Differentiate k(q) with respect to q.
405*q**2
Let y(a) be the second derivative of 7*a**6/10 + a**5/20 + a**4/2 + 7*a - 7. What is the third derivative of y(l) wrt l?
504*l + 6
What is the third derivative of 2*k**2 + 83*k**2 - 7*k**2 + 117*k**4 - 97*k**4 wrt k?
480*k
Let h(s) be the second derivative of 23*s**5/5 - s**4/12 + 665*s**2/2 - 2*s + 66. Differentiate h(t) with respect to t.
276*t**2 - 2*t
What is the second derivative of 2519*j + 45*j**2 - 2 - 2586*j + 30*j**2 wrt j?
150
Let f(x) be the third derivative of -25*x**4/6 - 17*x**3/3 + 11*x**2 - x. Differentiate f(q) wrt q.
-100
Let a be 0/(4/(-8)*-2). Let l(d) be the third derivative of 1/3*d**3 - d**2 - 1/8*d**4 + 0 + a*d. What is the first derivative of l(w) wrt w?
-3
Let y(b) be the first derivative of 66*b**5/5 + b**2 + 50*b - 155. What is the second derivative of y(k) wrt k?
792*k**2
Let d(t) = 37*t**4 + 7*t**3 + 1213. Let w(p) = -25*p**4 - 5*p**3 - 808. Let z(f) = -5*d(f) - 7*w(f). Find the first derivative of z(b) wrt b.
-40*b**3
Suppose -p - 4 - 1 = n, n = -3*p - 5. Let j(i) be the second derivative of p - 3*i**2 - 4/3*i**3 - 2*i. Differentiate j(h) wrt h.
-8
What is the first derivative of -8*b - 6513*b**2 - 117 - 50 + 6518*b**2 wrt b?
10*b - 8
Suppose 108 = 36*r - 34*r. Find the second derivative of -l - 7*l + r*l**2 + 8*l + 12*l wrt l.
108
Let c(v) = -3*v**2 + 13*v - 29. Let f(i) = i**2 - 2*i - 1. Let m(j) = c(j) + 6*f(j). Differentiate m(y) wrt y.
6*y + 1
Find the third derivative of -1582*u - 15*u**3 + 1582*u + 34*u**2 - 2 + 2*u**5 wrt u.
120*u**2 - 90
Let t = -10 - -12. Differentiate 0 - 3 + 3*r**t - 1 wrt r.
6*r
Let w(g) be the first derivative of -g**2/2 - 3. Let d be w(-3). What is the second derivative of -5*i**4 - d*i + 9*i**4 + 2*i wrt i?
48*i**2
Let y(a) = -a**3 + 3*a**2 + 7*a - 6. Let z be y(4). What is the third derivative of 0 - 60*n**z + 0 - 8*n**2 + 73*n**6 wrt n?
1560*n**3
Let a(g) be the first derivative of -59*g**4/4 - 28*g**2 + g - 159. Find the second derivative of a(l) wrt l.
-354*l
Let o(l) = -292*l**3 + 7*l**2 - 242. Let i(a) = 294*a**3 - 6*a**2 + 242. Let u(t) = 7*i(t) + 6*o(t). Differentiate u(j) with respect to j.
918*j**2
Suppose -3*i - 20 = -7*i. What is the second derivative of i*s**2 + 3*s**2 - 11*s + 0*s**2 wrt s?
16
Let u = -60 - -63. Find the third derivative of 5*p**u + 10*p**3 + 18*p**2 - 6*p**3 wrt p.
54
Let l(j) be the first derivative of 116*j**3 - 224*j - 204. Differentiate l(n) wrt n.
696*n
Find the third derivative of -42*r**4 - 25*r + 0*r**3 + 3*r**3 - 54*r**2 + 25*r wrt r.
-1008*r + 18
Let h(w) = w**2 + 4*w + 4. Let l be h(-5). Let m = l + -4. Find the third derivative of -7*i**4 + m*i**2 + 10*i**4 - 4*i**4 wrt i.
-24*i
Let u(d) = 10*d**3 + 2*d**2 - d. Let v be u(1). Suppose -5*g - 4 + 34 = 0. What is the first derivative of 7 + v*o - 2 - g wrt o?
11
Suppose -2*l + 6 = 2*s + 2*l, -3*l = 0. Find the second derivative of 17*m**3 - 7*m - 6*m + s*m**3 wrt m.
120*m
Suppose -8*l - 3*l + 341 = 0. Differentiate 12 + l*w + 13 + 6 with respect to w.
31
Let z(g) = 7*g - 6. Let k = 4 + 5. Let o(b) = -14*b + 12. Let c(j) = k*z(j) + 4*o(j). What is the first derivative of c(l) wrt l?
7
Let c(q) = -8*q**4 - 5*q**2 + 6. Let h(v) = 4*v**4 + 2*v**2 - 3. Suppose 6 = -5*n + 2*n. Let t(y) = n*c(y) - 5*h(y). What is the derivative of t(x) wrt x?
-16*x**3
Find the second derivative of -4*d**2 + 9*d**2 - 3*d**2 - 2*d**2 - 22*d**4 - 6*d + 2*d**3 wrt d.
-264*d**2 + 12*d
Suppose 3*b + 10 = 4*f, f - 8 = -f. Find the first derivative of 0*l**3 + 18 - b*l**3 - 210*l**2 + 210*l**2 wrt l.
-6*l**2
Let b(c) be the first derivative of -2*c**6/3 + 9*c**4/2 + c**2 + 50*c - 103. What is the second derivative of b(q) wrt q?
-80*q**3 + 108*q
Let j(u) be the first derivative of -u**5/5 - u**2/2 + 77*u + 131. What is the derivative of j(l) wrt l?
-4*l**3 - 1
What is the second derivative of -195*p + 170*p**3 - 61*p**4 - 170*p**3 wrt p?
-732*p**2
Suppose 0 = g - 4 + 1. What is the derivative of -3*f + 186 + 13*f**g - 165 + 3*f wrt f?
39*f**2
Find the second derivative of 24 - 6*z - 17 - 6 - 16 + 51*z**2 wrt z.
102
What is the second derivative of 15*l**5 - l**3 + 9*l**5 - l**5 + 22*l + 3*l**3 wrt l?
460*l**3 + 12*l
Let y(z) be the first derivative of 3*z + 44 - 8/3*z**3 + 4*z**2. Find the second derivative of y(j) wrt j.
-16
Let l(c) = -c - 4. Let q be 2/((10/(-12))/5). Let z be l(q). Find the first derivative of 0*u**4 - z - 2*u**4 + u**4 + 3*u**4 wrt u.
8*u**3
Let f(v) = -v**4 - 5*v**3 - 53*v**2 + 887. Let h(r) = r**4 + r**3 - 1. Let m(i) = f(i) + 5*h(i). Differentiate m(x) with respect to x.
16*x**3 - 106*x
Let d(z) be the first derivative of 5*z**7/168 + 5*z**4/8 - 2*z**3/3 + 25. Let t(n) be the third derivative of d(n). What is the first derivative of t(i) wrt i?
75*i**2
Let a(s) = 2*s**3 - 3*s**2 + 2. Let t = 8 - 6. Let n be a(t). Find the second derivative of b**4 + 2*b**3 - n*b**4 - 2*b**3 + 4*b wrt b.
-60*b**2
Suppose 6*a - 15 = 3*a. Suppose 2*h - a*h - 4*k - 8 = 0, -k - 21 = -4*h. Find the second derivative of -h*f**4 + 2*f**3 - 12*f - 2*f**3 wrt f.
-48*f**2
Suppose 0 = 5*w + 4*m - 5 - 3, m - 2 = 0. Let a(g) be the first derivative of -3/4*g**4 + w*g**2 - 8*g + 4 + 0*g**3. Find the first derivative of a(t) wrt t.
-9*t**2
Find the third derivative of 59*w**2 - 7*w**4 + 37*w**2 + 92*w**2 - 8*w**2 + 63*w**2 - 24*w**6 wrt w.
-2880*w**3 - 168*w
Let d(c) be the third derivative of -c**7/210 - 67*c**5/30 + 5*c**3/2 - 127*c**2. Differentiate d(w) wrt w.
-4*w**3 - 268*w
Let v = 27 + -4. Find the second derivative of -17*w + v*w**3 - 16*w**3 - 16*w**3 wrt w.
-54*w
Find the second derivative of u - 1 - 4*u**3 - 4*u**2 + 12*u**2 - 8*u**2 + 8*u**4 wrt u.
96*u**2 - 24*u
What is the third derivative of 755*y**2 - 2*y**5 + 21*y**6 + 2*y**5 + 427*y**3 - 425*y**3 - 194*y**6 wrt y?
-20760*y**3 + 12
Let c(l) be the first derivative of l**4/2 + 59*l**3/3 + 671*l**2/2 + 399. Find the second derivative of c(r) wrt r.
12*r + 118
Let c(i) = -3*i**2 + 11*i + 1. Let z be c(3). Let t(r) be the first derivative of z + 1/3*r**3 - 1/2*r**2 + 0*r. What is the second derivative of t(d) wrt d?
2
Let n(i) be the third derivative of -12*i**6/5 - 11*i**5/10 - 538*i**2. What is the third derivative of n(c) wrt c?
-1728
Let i(b) = b + 8. Let t be i(-9). Let l(z) = -5*z - 1. Let c be l(t). What is the first derivative of c - 10*m**2 + 15*m**2 - 11*m**2 wrt m?
-12*m
Let h be 10 + (-391)/68 + (-2)/(-8). Let d(c) be the first derivative of 6 + 8*c + h*c**2. Find the first derivative of d(x) wrt x.
9
Find the second derivative of 437*z - 309*z + 28*z**2 - 107*z**2 + 473*z - 4*z**3 + 7*z**3 wrt z.
18*z - 158
Let c(t) be the second derivative of -29*t**