Differentiate i(k) wrt k.
6500*k**3
Let x = 7659 - 7659. Let k(f) be the first derivative of x*f + 0*f**5 + 0*f**3 + 0*f**4 - 19/6*f**6 + 15/2*f**2 + 2. Find the second derivative of k(z) wrt z.
-380*z**3
Let j(s) = 2067*s**2 - 9*s - 1395. Let y(k) = 689*k**2 - 3*k - 467. Let r(b) = 4*j(b) - 11*y(b). Find the second derivative of r(f) wrt f.
1378
What is the first derivative of 99*j**2 + 191*j**2 - 382*j**2 - 667 - j + 107*j**2 + 96*j**2 wrt j?
222*j - 1
Find the second derivative of 5162*s**3 + 5409*s**3 - 9775*s**3 - 1276*s wrt s.
4776*s
What is the third derivative of -355*m**3 + 598*m**3 - 54*m**4 - 278*m**3 + 1743*m**2 wrt m?
-1296*m - 210
Let j be -1 - (1 - 4 - -3). Let h be j*6*(-36)/12. What is the third derivative of 29*b**6 + h*b**6 - 21*b**2 - 18*b**6 wrt b?
3480*b**3
What is the derivative of 273 + 44*s**3 - 83*s - 29*s**3 - 12*s**3 + 311 wrt s?
9*s**2 - 83
Let q be 1 + 10*-1 + 3. Let p be 18*1 + 2*q/3. Find the second derivative of -p*x - 15*x**5 + 9*x - 3*x**5 wrt x.
-360*x**3
Suppose -10*z = 5*z - 30. Differentiate 2*r**3 + 3*r**z - 1434*r + 1434*r - 54 wrt r.
6*r**2 + 6*r
Suppose 0 = 44*a - 48*a + 16. Find the third derivative of -q**2 - 73 - 43*q**a + 4*q**2 + 75 wrt q.
-1032*q
What is the third derivative of 14*x + x**3 + 2562561*x**2 - 889*x**6 - 14*x - 2559142*x**2 - 5*x**5 wrt x?
-106680*x**3 - 300*x**2 + 6
Let w(k) be the first derivative of 4*k**6/3 - 2*k**5/5 + 9*k**3 + 683*k**2 + 3998. What is the second derivative of w(p) wrt p?
160*p**3 - 24*p**2 + 54
Let l(a) be the third derivative of 92*a**2 - 3/4*a**6 + 0*a**3 + 0*a + 0 - 2/3*a**5 + 0*a**4. What is the third derivative of l(z) wrt z?
-540
Let n = 12289 + -24563/2. Let y(f) be the second derivative of 0 + n*f**2 + 0*f**4 + 0*f**3 - 1/20*f**5 + 19*f. Differentiate y(i) wrt i.
-3*i**2
Let c(x) be the third derivative of -272*x**5/5 + 5330*x**3/3 - 104*x**2 + x + 20. Find the first derivative of c(f) wrt f.
-6528*f
Let c be (5/2)/((-70)/(-616)). What is the third derivative of -36*y**2 - c*y**2 + 662*y**5 + 4*y**6 - 6*y**4 - 662*y**5 wrt y?
480*y**3 - 144*y
Let x(s) be the first derivative of -134 + 1/2*s**4 + 3*s - 20/3*s**3 - 1/5*s**5 + 0*s**2. Find the third derivative of x(f) wrt f.
-24*f + 12
Let u(k) be the second derivative of -9/7*k**7 + 1/2*k**2 + 2*k - 1/10*k**5 + 0*k**4 - 91/3*k**3 + 0*k**6 - 35. Find the second derivative of u(d) wrt d.
-1080*d**3 - 12*d
What is the derivative of 1823 + 17765*y**2 - 199 - 4212*y**2 - 199 - 5204*y**2 wrt y?
16698*y
Let f(y) = -17*y**4 + y**3 + 2*y**2 - 42*y. Let w(o) = -o**4 - o**2 - 2*o. Let q(t) = -f(t) + 2*w(t). What is the third derivative of q(a) wrt a?
360*a - 6
Let i(m) = -2*m - 2. Let l(w) = -w + 1. Let k(q) = -i(q) + 3*l(q). Let a be k(3). Find the third derivative of 33*h**5 - 11*h**5 + 6*h**a + 26*h**2 wrt h.
1320*h**2
Suppose 0 = -3*f + 1 + 32. Let l(r) = 3*r**3 + 2*r**2 - 3*r + 1. Let b be l(1). Find the second derivative of -10*h + 16*h + 17*h**b - f*h wrt h.
102*h
Suppose 382 = -4*g + 2*f - 0*f, 2*f + 10 = 0. Let r = -95 - g. Find the third derivative of 2*z**3 - 13*z**r + 3*z - 3*z + 34*z**2 wrt z.
-66
Let s(b) = -b**2 - 13*b - 21. Let m be s(-9). Let q(n) be the first derivative of 2*n**3 - n + m + 2*n - 7*n**3. Differentiate q(g) with respect to g.
-30*g
Let x be 0 + (-16)/24*-6. What is the third derivative of b**3 + 6*b**2 - b**3 + 21 - b**2 - 72*b**x - 8*b**2 wrt b?
-1728*b
Let n(p) be the second derivative of 0*p**3 + 27*p**2 + 0 + 77/20*p**5 + 0*p**4 - 79*p. Differentiate n(v) with respect to v.
231*v**2
Suppose -5*r + 24 = r. Find the second derivative of c - 8 + 8*c**4 - 2*c - 39 + 12*c**r wrt c.
240*c**2
Let f(t) be the third derivative of -250*t**9/21 - 2471*t**5/60 + 138*t**2 - t. What is the third derivative of f(q) wrt q?
-720000*q**3
Let c(u) be the first derivative of -17*u**5/10 + 24*u**3 + 5*u**2 + u + 91. Let s(r) be the second derivative of c(r). Find the first derivative of s(k) wrt k.
-204*k
Differentiate 830 + 689 + c + 614*c**4 - 3467 - 2271 with respect to c.
2456*c**3 + 1
Let s(w) be the third derivative of w**9/504 - 3*w**8/28 + 13*w**6/40 - 73*w**5/30 + 7*w**3/3 - 52*w**2. What is the third derivative of s(i) wrt i?
120*i**3 - 2160*i**2 + 234
Let i(p) be the first derivative of -500*p**3 - 353*p**2/2 - 389. What is the second derivative of i(m) wrt m?
-3000
What is the derivative of -28*s**2 + 147*s**2 - 21 + 127 + s**2 wrt s?
240*s
Let u = -2375 - -2377. Suppose -3*k - 2*k - 4*t + 6 = 0, -4*t + 2 = 3*k. Differentiate 10*r**2 + 4 + r**u + 6 + 7*r**k with respect to r.
36*r
Find the second derivative of 675*a + 49*a - 1491*a - 1419*a**2 + 3727*a wrt a.
-2838
Suppose -2*i = 5*l - 40, -3*l - 2*i + 28 = -0*i. Suppose 8*c - l*c = 34. Differentiate 2 + c + 6 - 26*d - 3 wrt d.
-26
Suppose 0*s = -5*v + 5*s + 30, -2*v - 9 = 5*s. What is the second derivative of -73*h - 19*h**2 - 15*h**2 - 20*h + v*h**2 wrt h?
-62
Let j(o) be the third derivative of -481*o**9/504 - 2*o**7/105 + o**5/60 + 5*o**4/24 + 1047*o**2 - o - 1. What is the third derivative of j(i) wrt i?
-57720*i**3 - 96*i
Let o = 275 - 271. What is the third derivative of 33287*n - 53*n**4 - 33287*n - o*n**2 wrt n?
-1272*n
Let c(u) be the third derivative of -33*u**8/112 - 3*u**6/40 - 49*u**4/24 + 29*u**3/3 + 6710*u**2. Find the second derivative of c(b) wrt b.
-1980*b**3 - 54*b
Let a(p) = 4*p - p + p**2 - 36 - p - 4*p. Let h be a(-7). Find the second derivative of -18*l + h*l**5 - 664 + 664 wrt l.
540*l**3
Let s(o) be the second derivative of -517*o**4/12 + o**3/6 + 1091*o**2 + 65*o - 7. Differentiate s(a) wrt a.
-1034*a + 1
Let x(v) be the second derivative of 0*v**5 + 1/2*v**2 + 0*v**3 + 17/21*v**7 - 8*v + 0*v**6 - 1/12*v**4 - 6. What is the third derivative of x(m) wrt m?
2040*m**2
Suppose -22*g + 11 = -55. What is the first derivative of -g*m**2 + m**2 - 5 - 2*m + 81 + m wrt m?
-4*m - 1
Let o(a) = -1505*a**3 - 15*a**2 - 1332*a + 5. Let u(f) = 5*f**2 - f - 1. Let k(t) = o(t) + 3*u(t). What is the second derivative of k(h) wrt h?
-9030*h
What is the third derivative of 84*l**6 + 5*l**3 + 266*l**2 + 677*l**4 + 674*l**4 - 1351*l**4 wrt l?
10080*l**3 + 30
Let v = 149 - 128. What is the third derivative of 266*q**2 - v*q - 524*q**2 + 259*q**2 - 80*q**5 wrt q?
-4800*q**2
Let n(f) = -10*f**3 + 4*f**2 + 444*f + 6861. Let d(o) = -20*o**3 + 7*o**2 + 884*o + 13721. Let j(c) = 4*d(c) - 7*n(c). Differentiate j(z) wrt z.
-30*z**2 + 428
Let q be (-39)/(-6 + 63/14). What is the derivative of -q*r - 3*r**4 + 54 + 19*r + 2*r**4 wrt r?
-4*r**3 - 7
Let h(n) = 3*n**2 - n. Let d be h(-4). Let j = d - 49. Differentiate 193*i**3 - 2 + 7 - 162*i**j wrt i.
93*i**2
Let f(j) be the second derivative of j**6/15 + 23*j**5/5 - 1124*j**4/3 + j - 140. What is the third derivative of f(q) wrt q?
48*q + 552
Suppose 102*n = 94*n + 248. What is the first derivative of -250*i + 87*i + n + 358*i wrt i?
195
Let f(i) be the third derivative of -6/7*i**8 + 17/24*i**4 + 0*i**5 + 0 - 238*i**2 + 0*i**6 + 0*i**7 + 0*i - 1/6*i**3. Find the second derivative of f(b) wrt b.
-5760*b**3
Differentiate z**3 - 6*z + 1065027*z**2 + 2*z**4 - 1065027*z**2 - 29*z - 9577 wrt z.
8*z**3 + 3*z**2 - 35
Let l(i) = 2*i**2 + 7*i + 1. Let m(j) = 1898*j**2 - 34*j + 125. Let n(q) = 4*l(q) + m(q). Find the second derivative of n(u) wrt u.
3812
Let z = -143 - -143. Suppose -5*n + d + 25 = z, -3*n + 4 = 2*d + 2. Find the second derivative of 11*m - 38*m**n + 9*m - 8*m wrt m.
-456*m**2
What is the first derivative of 332*q**2 - 637*q**2 + 321*q**2 - 2017 + 115*q**3 wrt q?
345*q**2 + 32*q
Let z(i) = -i**2 - 29*i + 65. Let d be z(-31). Find the second derivative of 14082*y**3 + 144*y + 2*y**2 - 34*y - 14129*y**d wrt y.
-282*y + 4
Let z = 19886 + -19886. Let t(w) be the first derivative of -24*w - 27 + 39/5*w**5 + 0*w**4 + 0*w**2 + z*w**3. Differentiate t(v) wrt v.
156*v**3
Let r(n) = -50645*n**2 + 716289. Let z(o) = 734*o**2 - 10381. Let y(w) = 6*r(w) + 413*z(w). Differentiate y(k) with respect to k.
-1456*k
Suppose 10 = -11*c + 16*c. Let q(f) be the first derivative of -5*f**c - 6 - 19*f**2 + 5*f - f**2 + 5*f**2. Find the first derivative of q(y) wrt y.
-40
Let p(k) = -k**2 + 22*k - 22. Let z be p(5). Find the first derivative of z*y**2 + 63*y**2 + 108 - 13*y**2 wrt y.
226*y
Let y be (3/(-2))/((