744*y
Let u(m) be the first derivative of 4*m**6/3 + 25*m**3/3 - 3*m**2 + 52*m + 96. What is the second derivative of u(q) wrt q?
160*q**3 + 50
Find the first derivative of 37 - 16 - 373*q - 195*q + 54 + 56 wrt q.
-568
Let g = 279 - 276. Suppose 2 = -3*r + 11. Differentiate 8*t**3 + g*t**r + 8 - 16 wrt t.
33*t**2
Let o(m) be the third derivative of -5/6*m**4 - 15*m**2 + 1/3*m**3 + 0 + 0*m. Find the first derivative of o(g) wrt g.
-20
Let s(d) be the second derivative of d**4/3 - 52*d**2 - 9*d + 2. What is the first derivative of s(b) wrt b?
8*b
Let t(i) be the third derivative of -7*i**6/4 + 9*i**4/8 - i**3/6 - 2*i**2 + 28*i. Find the second derivative of t(f) wrt f.
-1260*f
Suppose -x - 4*b - 4 = -0, -4*x + b = -52. Find the third derivative of x*v**6 + 11*v**2 + 19*v**6 + 10*v**2 wrt v.
3720*v**3
Let f be 8/3 + (-2)/(-6). What is the derivative of -19 + 15*w**3 + 2*w**f + 8*w**3 wrt w?
75*w**2
Let o(a) be the third derivative of 0*a + 5/12*a**5 + 19*a**2 + 1/120*a**6 + 0*a**3 + 0 + 0*a**4. What is the third derivative of o(d) wrt d?
6
Suppose 0 = -13*y + 9*y + 84. What is the second derivative of 5*a**2 - 5*a**2 - 12*a - y*a**3 + 3*a**3 wrt a?
-108*a
Find the first derivative of -3837*k**4 + 4*k + 10*k**2 + 145 + 3848*k**4 - 10*k**2 wrt k.
44*k**3 + 4
Suppose -5*v + 10*v + 491 = 2*g, 0 = 5*g + 2*v - 1213. Find the second derivative of 15*p**3 - g*p - 3*p**3 + 12*p**3 + 263*p wrt p.
144*p
Find the second derivative of -25*p + 16836*p**3 - 3 + 70*p**4 + 2*p**2 + 2 - 16836*p**3 wrt p.
840*p**2 + 4
Let r(b) be the first derivative of 3*b**5/5 + 75*b**4/4 - 23*b**3 - 2*b - 253. Find the third derivative of r(x) wrt x.
72*x + 450
Let c(j) be the second derivative of -5*j**2 + 0 + 0*j**3 + 1/12*j**4 + 7*j. Find the first derivative of c(u) wrt u.
2*u
Let d = 345 - 341. Let u(q) be the third derivative of 5*q**2 + 0 - 1/4*q**d + 2/3*q**3 + 0*q. What is the first derivative of u(l) wrt l?
-6
Let p(v) = -2*v**3 + 42*v**2 - 2*v + 42. Let i be p(21). Let n(r) be the second derivative of i - r**2 - r - 1/3*r**3. What is the derivative of n(h) wrt h?
-2
Let u(o) = 13*o**2 + 4*o + 14. Let m be -4 - (-7 + 2/(-2)). Let f(a) = 39*a**2 + 11*a + 42. Let r(h) = m*f(h) - 11*u(h). Differentiate r(w) with respect to w.
26*w
Let j = 312 + -312. Let k(a) be the first derivative of 4/3*a**3 + 0*a + j*a**2 + 1/2*a**4 - 1. What is the third derivative of k(z) wrt z?
12
Let i = 43/120 - 5/24. Let v(p) be the second derivative of 0*p**2 + p - 1/4*p**4 + 0 + 0*p**3 + i*p**5. Find the third derivative of v(k) wrt k.
18
Let w(l) be the second derivative of -5/12*l**4 - 1/5*l**5 + 10*l + 0 + 0*l**3 + 0*l**2. What is the third derivative of w(r) wrt r?
-24
Let c(h) = -21*h**2 + 41*h + 3. Let i(l) = l**2 - 1. Let a(s) = c(s) + 4*i(s). What is the second derivative of a(t) wrt t?
-34
Let m(x) be the second derivative of -211*x**3/6 + 261*x**2/2 - x + 223. Differentiate m(a) wrt a.
-211
Suppose 176 = 3*r - 3*g + g, 0 = -5*g - 20. What is the second derivative of r*l**2 - 31*l**3 - 9*l - 6*l - 56*l**2 wrt l?
-186*l
Let m(w) be the second derivative of -425*w**4/12 - 136*w**3/3 + w**2/2 - 5*w + 4. What is the second derivative of m(u) wrt u?
-850
Suppose 0 = s + 4*t + 9, 0 = -5*s + 9*s + 5*t - 8. Find the third derivative of 25*r**5 - 408 + 408 + s*r**2 wrt r.
1500*r**2
Find the third derivative of -3646*n**6 + 116*n**2 - 459*n**2 + 3651*n**6 + n**4 wrt n.
600*n**3 + 24*n
Let m(l) be the second derivative of 37*l**6/15 - 5*l**3/3 - 7*l**2/2 - 228*l. What is the second derivative of m(i) wrt i?
888*i**2
Suppose -5*p + 44 = 4*q, p = -3*q - 4*p + 33. Find the second derivative of k - k**3 - q*k + 2*k**3 wrt k.
6*k
Let l(q) = -32*q**2 - 4*q - 54. Let o(b) = -31*b**2 - 5*b - 54. Let t(u) = -3*l(u) + 2*o(u). Find the first derivative of t(n) wrt n.
68*n + 2
Let d(s) be the second derivative of 16*s - 7/20*s**5 + 0*s**4 + 0 + 0*s**3 - 2*s**2. Differentiate d(m) wrt m.
-21*m**2
Let l(p) = -13*p + 12. Let d(q) = q**2 + 10*q - 6. Let j be d(-11). Let v(u) = -14*u + 12. Let h(g) = j*l(g) - 4*v(g). What is the derivative of h(m) wrt m?
-9
Let a = -11 - -21. Suppose j + 3*f - a = -1, 4*j + 3*f = 27. Find the third derivative of -2*p**j + 2*p**6 + 4*p**6 - 5*p**2 - 6*p**6 wrt p.
-240*p**3
Suppose 0 = -j + 3*j. Suppose j = p + p - 4. What is the derivative of -p + 0 - 10*w**4 + 4 + 3*w**4 wrt w?
-28*w**3
Suppose -2*u = z + 33, 0 = 4*u - 10*z + 5*z + 45. Let f = 19 + u. Find the third derivative of -12*y**2 + 21*y**2 + f*y**5 - 11*y**2 wrt y.
240*y**2
Let b = -51 - -56. Find the third derivative of -b*m - m + 6*m**6 + 14*m**2 + 6*m wrt m.
720*m**3
Let m(h) be the second derivative of h**6/15 + 67*h**5/10 - 52*h**4/3 - 2*h - 7. Find the third derivative of m(q) wrt q.
48*q + 804
Let s(h) = h - 8. Let o be s(-11). Let r = 19 + o. Differentiate -6*i + r + 0 + 2 with respect to i.
-6
Let a(f) be the first derivative of 37*f**4/4 - 8*f**3 - 148. Find the third derivative of a(z) wrt z.
222
Let x(q) be the third derivative of 619*q**7/210 + 69*q**5/20 + 272*q**2 + 2. What is the third derivative of x(r) wrt r?
14856*r
Suppose -5*z + 0*z + 30 = 0. Find the first derivative of 0 + 9 + z + 12*d**4 + 6 wrt d.
48*d**3
Let a(g) = -g**2 - 6*g + 7. Let c be a(-5). Let i be (-8)/c + 46/6. What is the second derivative of -i*r + 2*r + 7*r**3 + r**3 wrt r?
48*r
Suppose -5*y + m + 39 = 0, 3*y - 20 = 5*m - 1. Suppose 2*f - f = -1, 3*p = -5*f + 1. Differentiate d**2 - 4*d**2 + 10 + y*d**p wrt d.
10*d
Suppose 39*h = -h + 80. Let o(s) be the first derivative of -5/2*s**h - 14 + 0*s**4 + 0*s + 0*s**3 - 8/5*s**5. Find the second derivative of o(k) wrt k.
-96*k**2
Let y(c) be the third derivative of -c**8/28 + c**7/70 - c**5/20 - 5*c**4/24 - 30*c**2 - 2. Find the third derivative of y(o) wrt o.
-720*o**2 + 72*o
Suppose 3*m + 4 = 1. Let s be 0 + 16/4 - m. What is the second derivative of 4*k - 7*k - 2*k**3 + s*k wrt k?
-12*k
Let w be 12 + -9 - (-2)/2. What is the first derivative of -y**4 - 38 + 16 - w*y**4 wrt y?
-20*y**3
Let u be (3 + -5 - -1) + 3. Find the third derivative of 2*s**2 - 6*s**u + s**5 - 6*s**2 wrt s.
60*s**2
What is the first derivative of -176*q**2 + 495 + 495*q**2 + 468*q**2 wrt q?
1574*q
Let d be (-368)/(-24) + (-2)/6. Suppose -j = -4*g + d, 4*j - 3 = 3*g - 11. Differentiate j - 2 - 3*x**4 - 3 + 3 with respect to x.
-12*x**3
Let k(l) be the second derivative of 287*l**5/20 - l**3/3 - 183*l**2 + 40*l - 5. What is the derivative of k(s) wrt s?
861*s**2 - 2
Differentiate 93*c + 16*c + 21 - 9 wrt c.
109
Let c(p) be the first derivative of 65*p**4/2 + 126*p + 124. Differentiate c(l) wrt l.
390*l**2
Let x(w) be the second derivative of 0*w**2 - 1/7*w**8 + 0*w**6 + 12*w + 0*w**7 + 0 - 17/6*w**4 + 0*w**5 + 0*w**3. What is the third derivative of x(c) wrt c?
-960*c**3
Let k = -5 + 5. Let s(y) = y - 3. Let w be s(4). Differentiate k - 19*u**2 + 22*u**2 - w with respect to u.
6*u
Let l(r) be the first derivative of 0*r**4 + 17/5*r**5 - 17 + 13*r**2 + 0*r + 0*r**3. Find the second derivative of l(c) wrt c.
204*c**2
Let g = 105 - 87. What is the third derivative of -3439 - g*b**2 + 11*b**4 + 3439 wrt b?
264*b
Let x(d) be the third derivative of -1/120*d**6 + 0 - 3/4*d**4 + 0*d**3 + 0*d + 0*d**5 - 14*d**2. Find the second derivative of x(p) wrt p.
-6*p
Suppose -2*x - 15 = -3*c, -2*c - 33 = -5*c - 4*x. Find the first derivative of 2*u**2 - 1 - 6*u**2 - c*u + 7*u wrt u.
-8*u
Suppose 4*y + 3*d = 5*y - 8, 2*d = 2*y - 8. Suppose 0 = -14*f + 15*f - 7. What is the third derivative of -m**5 - 5*m**2 + y*m**5 + f*m**5 - m**5 wrt m?
420*m**2
Let f(s) = -s**2 + s + 18. Let v be f(0). Let o(p) = p**3 - 19*p**2 + 19*p - 11. Let a be o(v). What is the first derivative of -2 - a + 0*w**3 + 5*w**3 wrt w?
15*w**2
Find the third derivative of -b**5 + 1 + 21*b**6 + 7*b**6 + 114*b**2 - 126*b**2 wrt b.
3360*b**3 - 60*b**2
What is the second derivative of -45*z - 5*z**3 - 32*z + 123*z**3 - 26*z wrt z?
708*z
Find the first derivative of 65 + 48*y**2 - 87 - 157 - 167*y**2 wrt y.
-238*y
Find the third derivative of -21*u**4 + 173*u**2 - 14*u**4 - 4*u**4 wrt u.
-936*u
Let s be 1*(4 + -1 - 1). Let c = 4 - s. What is the third derivative of -11*u**3 + 4*u**5 + 11*u**3 - 2*u**2 - 2*u**c wrt u?
240*u**2
What is the derivative of 21 + 52*m + 