24*t - 135. Let p(y) = y**2 - 2*y. Let c(s) = -18*p(s) + r(s). Find the first derivative of c(i) wrt i.
-6*i + 12
Suppose w + 3*y = 32, 2*w - 74 = -3*y - 25. Let p = -13 + w. Differentiate p + 4 + 2 - 12 + 4*s**3 wrt s.
12*s**2
Find the third derivative of -34*s + 35*s - 14*s**2 - 134*s**3 - 25*s**2 wrt s.
-804
Suppose -40 = s - 5*s. Find the second derivative of 6*a - a - s*a + 16*a**3 wrt a.
96*a
What is the third derivative of -5*w**4 - 2*w**6 + 11*w**5 - 11*w**5 + 169*w**4 + 20*w**4 - 98*w**2 wrt w?
-240*w**3 + 4416*w
Let g(d) be the third derivative of 4*d**5/15 + d**4/8 + 11*d**3/3 - d**2 - 29*d. What is the second derivative of g(k) wrt k?
32
Let v(g) be the second derivative of 0 - 2/5*g**5 + 0*g**2 + 0*g**3 + 15*g + 7/4*g**4. Find the third derivative of v(t) wrt t.
-48
Let o(v) = -4*v**3 + 3*v**2 + 177*v + 244. Let y(f) = 3*f**3 - 2*f**2 - 174*f - 246. Let s(j) = 2*o(j) + 3*y(j). Differentiate s(x) wrt x.
3*x**2 - 168
Let h(q) be the first derivative of q**6/6 + 21*q**5/5 - 9*q**2 + 4*q + 176. What is the second derivative of h(x) wrt x?
20*x**3 + 252*x**2
Suppose 5*c = -2*a, 0*a = 2*c + a + 1. Suppose p - c = 5*t + 13, 0 = 5*p - 4*t - 54. Find the third derivative of -12*k**2 - 4*k**3 + p*k**2 + 6*k**2 wrt k.
-24
Let a(h) be the first derivative of -73*h**6/2 - 22*h**3 - 8. What is the third derivative of a(v) wrt v?
-13140*v**2
Suppose 21 = 3*y + 3*m, -2*y + 11 = 3*m - 0. Find the first derivative of -b**3 - y - 10 - 9*b**3 wrt b.
-30*b**2
Suppose 0 = -5*g + 18 - 8. Find the third derivative of 7*n**2 + 5*n**2 - 2*n**5 + 2*n - g*n wrt n.
-120*n**2
Let t(j) = -2*j**2 - 9*j - 4. Let q be t(-4). Let a(z) be the second derivative of 1/12*z**4 - 5*z + q*z**3 + 0 + 2*z**2. What is the derivative of a(x) wrt x?
2*x
Let q(f) = 5*f + 3*f**2 - 4*f + 4*f + 13. Let i(p) = -p**2 + p. Let w(m) = 5*i(m) - q(m). What is the derivative of w(v) wrt v?
-16*v
What is the third derivative of 22*t**2 + 165*t**3 - 455 + 40*t**3 + 451 wrt t?
1230
Let p(f) = -2*f**3 - f**2 + 1. Let d be p(1). Let s(z) = -z - 2. Let o be s(d). What is the third derivative of 4*v**5 + o*v + 0*v + 5*v**2 + 0*v**5 wrt v?
240*v**2
What is the third derivative of z**2 - 11*z**6 + 26*z + 95*z**4 + 0*z**6 + 4*z**6 + 5*z**6 + 4*z**6 wrt z?
240*z**3 + 2280*z
Let v(i) = i**2 - 2*i + 4. Let t be v(0). What is the third derivative of -27*j**t - 18*j**4 + 219*j**2 - 236*j**2 wrt j?
-1080*j
Find the third derivative of 511*j**2 + 67*j**3 + 48*j**3 - 402*j**2 + 60*j**3 wrt j.
1050
Let c(j) be the third derivative of -j**6/120 - 29*j**5/15 - 93*j**3 - 814*j**2. What is the derivative of c(n) wrt n?
-3*n**2 - 232*n
Let y(b) = -11*b - 6. Suppose -2 = 2*i - 5*v - 53, 3*i + v - 51 = 0. Let d(g) = 5 - 2 + g - 2. Let a(c) = i*d(c) + 2*y(c). What is the derivative of a(p) wrt p?
-4
Let z(j) be the second derivative of -j**6/10 + 27*j**5/20 - 5*j**4/4 - j**3/6 + 3*j - 20. Find the third derivative of z(w) wrt w.
-72*w + 162
Let x(w) = -w**3 + 3*w**2 + 5*w - 2. Let k be x(4). Let u be (0 - 0)/(16 - 7 - 6). Differentiate -v**2 + u*v**k + 2 - 9 - 3*v**2 with respect to v.
-8*v
What is the third derivative of 249*b**3 + 314*b**2 - 213*b**3 + 204*b**3 - 75*b**2 wrt b?
1440
Let k(m) = m**2 + m + 7. Let l(d) = -d - 4. Let s be l(-4). Let n be k(s). What is the second derivative of n*r + 345 + 5*r**4 - 345 wrt r?
60*r**2
Let u be 20/6*(-120)/(-200). Let x(s) be the first derivative of -8/3*s**3 + 0*s + 2*s**4 + 0*s**u - 2. What is the third derivative of x(n) wrt n?
48
Let z(j) = -9*j**3 + 6*j**2 - 36*j - 3. Let s(a) = -5*a**3 + 6*a**2 - 37*a - 2. Let c(i) = -3*s(i) + 2*z(i). Find the second derivative of c(x) wrt x.
-18*x - 12
Differentiate 137*n**2 - 29*n**2 + 181*n**2 + 247*n**2 - 600 - 114*n**2 with respect to n.
844*n
Let f(b) = 85*b - 76. Let l(u) = 86*u - 76. Let i(t) = 4*f(t) - 3*l(t). What is the derivative of i(a) wrt a?
82
Let u(f) be the second derivative of -f**9/1512 + f**6/48 - 5*f**4/12 + 6*f. Let l(s) be the third derivative of u(s). Find the second derivative of l(j) wrt j.
-120*j**2
What is the derivative of -98 - 306 + 59*y**3 + 64*y**3 - 127 wrt y?
369*y**2
Let k(l) be the first derivative of 2*l**5/5 + 11*l**4/2 - 734*l**3/3 - 582. What is the third derivative of k(o) wrt o?
48*o + 132
What is the first derivative of -65*s**3 + 21 + 2*s**3 - 49*s**3 wrt s?
-336*s**2
Let k(r) be the third derivative of 0*r - 4/15*r**5 + 0*r**4 + 0 + 5/6*r**3 - 4*r**2. Differentiate k(z) with respect to z.
-32*z
Let q(k) be the first derivative of 109*k**6/3 - 2*k**3/3 - 46*k - 62. What is the third derivative of q(d) wrt d?
13080*d**2
What is the third derivative of -68*y**3 - 38*y**3 + 53*y**3 - 54*y**3 - 46*y**2 + y wrt y?
-642
Let p(q) = q**2 - 5*q + 2. Let y be p(5). Suppose y*a + 0*a - 4 = 0. What is the third derivative of 34*z**6 + a - 2 - 36*z**6 - 3*z**2 wrt z?
-240*z**3
Let w(y) be the first derivative of 3*y**5/10 + 31*y**2/2 + 46*y + 10. Let j(c) be the first derivative of w(c). What is the first derivative of j(k) wrt k?
18*k**2
Let g(k) = 55*k - 65. Let l(w) = 5*w - 6. Let n(i) = 6*g(i) - 65*l(i). Let x be n(1). Differentiate 4*q**2 - 3 - 2 + 1 + x with respect to q.
8*q
Find the first derivative of 63 - 2*s - 45*s + 20*s - 46*s wrt s.
-73
Let n(p) = -p**3 + 12*p**2 - p - 1. Let o(y) = 324*y**3 + 72*y**2 - 6*y - 449. Let r(v) = 6*n(v) - o(v). Differentiate r(f) wrt f.
-990*f**2
Let n = 17 - 8. Let u(f) = f. Let z be u(n). Differentiate 5 - 10*j - z - 6 wrt j.
-10
Let z(a) be the first derivative of 0*a**3 + 20 + 0*a - 8*a**2 + 6/5*a**5 + 0*a**4. What is the second derivative of z(l) wrt l?
72*l**2
Let g(n) be the first derivative of -3*n**7/7 - 23*n**5/5 + 5*n**3 + 10*n - 254. What is the third derivative of g(t) wrt t?
-360*t**3 - 552*t
Suppose -3*o + 2 = -10. Let k(u) = u**3 - 3*u**2 - 2*u - 5. Let x be k(o). What is the third derivative of -8*h**4 - 208*h**3 + 208*h**x + 9*h**2 wrt h?
-192*h
Suppose 3*r - 5*o = 21, -3*r - 2*o + 12 = -4*o. Find the third derivative of 3*k**5 - 10*k**5 + 4*k**r + 10*k**2 - 15*k**5 wrt k.
-1320*k**2
Let p be 20/(-6)*12/(-8). Suppose 2*y + 15 = 4*y + 3*b, 4*y - 26 = -2*b. Find the third derivative of -6*m**2 + m**6 + m**6 + p*m**y wrt m.
840*m**3
Let u(x) = 889*x**3 + 38*x**2 - 5*x + 6. Let s(f) = -f**3 + f**2 + f. Let t(m) = 5*s(m) + u(m). What is the third derivative of t(d) wrt d?
5304
Let a(l) be the first derivative of 391*l**2 + 427*l + 760. Differentiate a(t) wrt t.
782
Suppose 2*u - g - 2 = 0, -5*g + 20 = 3*u - 9. Find the third derivative of 5*f**u - 2335*f - f**3 - f**2 + 2335*f wrt f.
24
Let k(l) = 25*l - 3*l**2 - 3 + 1 - 6. Let t(m) = -2*m**2 + 17*m - 5. Let w(s) = -5*k(s) + 8*t(s). What is the second derivative of w(i) wrt i?
-2
Let v = 7 - 7. Differentiate 5*d + 3*d + v*d + 1 - 2*d with respect to d.
6
Let u(t) be the second derivative of -8/3*t**3 + 23*t + 0*t**2 + 11/12*t**4 + 0. What is the second derivative of u(d) wrt d?
22
Find the first derivative of -317*x + 317*x - 33*x**3 - 9*x**3 - 74 wrt x.
-126*x**2
Suppose -3*f - 9 = 0, 0 = 4*w - 0*f + f - 9. What is the derivative of 1 - 12 - w*m - 1 wrt m?
-3
Let a(f) = -f - 10. Let q be a(10). Let x be (-8)/q - (-466)/10. What is the second derivative of -x*m**2 + m - m**3 - 12*m + 47*m**2 wrt m?
-6*m
Let d = -26 - -31. Suppose 5 - 15 = -5*p. Find the third derivative of -4*o**5 - 6*o**p + 0*o**2 + 3*o**d - o**5 wrt o.
-120*o**2
What is the third derivative of -8*z**6 + 104*z - z**2 - 102*z - 2*z**2 wrt z?
-960*z**3
Let g(m) = -m**3 - 12*m**2 - 13*m - 7. Let v be g(-11). What is the third derivative of -4*p**6 + p**2 + 0*p**2 + p**2 - v*p**2 wrt p?
-480*p**3
Let c(p) = -206*p**3 - 2*p**2 - 94*p + 2. Let r(u) = u**3 + u**2 - 1. Let n(q) = -c(q) - 2*r(q). Find the second derivative of n(t) wrt t.
1224*t
Suppose -t + 2*k = 16, 2*t + 0*k + 3*k = -25. Let r be (-74)/t - (-2)/(-7). What is the first derivative of 1 - 3*q + r*q**3 - 4 + 3*q wrt q?
15*q**2
Let t = -312 + 317. Let g(v) be the third derivative of 0*v**4 - 1/40*v**6 + 0*v + 2*v**2 - 1/12*v**t + 0*v**3 + 0. What is the third derivative of g(b) wrt b?
-18
Suppose 2*t + 0*n + 46 = -4*n, -4*t = -4*n + 116. Let h be (-3)/(t/(-12) + -3). Find the second derivative of s + 5*s + h*s**4 + 2*s**4 - 2*s**4 wrt s.
48*s**2
Let f be (13 - 11)/(