*3
What is the third derivative of -673*j**3 + 223*j**3 + 54285*j**2 - 52000*j**2 wrt j?
-2700
What is the first derivative of -1199 + 157*w**4 - 544*w**4 + 116*w**4 wrt w?
-1084*w**3
Find the second derivative of -5464*w**2 + 4238*w**2 + 1 + 4 - 6 - 222*w wrt w.
-2452
Let t = 19 - 15. Let w = 1081 - 384. Find the second derivative of w + 8*o - 697 + 34*o**t wrt o.
408*o**2
Suppose 4 = 9*h - 14. Find the third derivative of -141 + s**4 + 8*s**2 + 285 + 3*s**5 - h*s**4 - 142 wrt s.
180*s**2 - 24*s
Let h(x) = 29*x - 19. Let s = -35 + 37. Suppose -12 + s = -5*m. Let f(p) = -14*p + 9. Let k(v) = m*h(v) + 5*f(v). What is the first derivative of k(r) wrt r?
-12
What is the derivative of 137*k**3 + 1224*k**3 + 2596 - 599 + 410*k**2 - 412*k**2 wrt k?
4083*k**2 - 4*k
Let y(f) be the first derivative of 7*f**4/12 + 5*f**3/6 - 111*f**2/2 - 37*f + 66. Let w(g) be the first derivative of y(g). Differentiate w(t) wrt t.
14*t + 5
Suppose 21 = 5*r - 0*r - 2*m, 5*m + 24 = 3*r. What is the third derivative of -22*i**3 + 53*i**2 + 35*i**5 + 41*i**3 - 21*i**r wrt i?
2100*i**2 - 12
Differentiate 4467 - 935 + 2916 + 1411 + 1711 - 8765*j with respect to j.
-8765
Find the second derivative of -117*p**3 + 779*p + 181*p - 27*p**3 - 231*p + 762*p + 3*p**2 wrt p.
-864*p + 6
Let u(w) be the first derivative of 603*w**5/5 - w**4/2 + 67*w**2/2 + 53*w + 4619. What is the second derivative of u(r) wrt r?
7236*r**2 - 12*r
Let o(r) = 678*r**3 - 26*r**2 + 102*r + 1. Let a(m) = -m**3 + 12*m**2. Let i(w) = -2*a(w) - o(w). What is the second derivative of i(y) wrt y?
-4056*y + 4
Let x = -4 + 8. Let o be (-1)/(7 - 5/(320/452)). Find the third derivative of -o*r**4 - 2*r**4 + 9*r**2 + 8*r**2 - x*r**4 wrt r.
-528*r
Let n(k) be the third derivative of 0*k - 41/20*k**5 + 3*k**2 + 1/120*k**6 + 0*k**3 + 1/105*k**7 + 7 + 0*k**4. What is the third derivative of n(t) wrt t?
48*t + 6
Let b(d) = -2673*d + 4856. Let f(k) = 8022*k - 14574. Let h(r) = -8*b(r) - 3*f(r). What is the first derivative of h(u) wrt u?
-2682
What is the derivative of 213*s**4 - 449 + 33*s**4 - 1001 - 454 + 129 wrt s?
984*s**3
Let h = -75 + 78. Suppose 4*k - 27 = 5*p, h = -k - 5*p + 3*p. What is the derivative of 16*b**3 + 10*b**3 - 38*b**3 - 9 - k wrt b?
-36*b**2
Let d(t) be the third derivative of 1957*t**4/24 + 626*t**3/3 + 147*t**2 + 6*t. Differentiate d(f) wrt f.
1957
Let t be ((-632)/16)/(2/(-4)). What is the third derivative of 21*w**2 - 2 + 6*w**6 - t*w**6 - 6*w**4 + 6*w**4 wrt w?
-8760*w**3
Let o(i) be the first derivative of 4*i**6/3 - i**5 + 8*i**2 + 34*i + 348. Find the second derivative of o(p) wrt p.
160*p**3 - 60*p**2
Let y(k) = 12*k**2 - k. Let i be y(2). Let r = i - 42. Differentiate 5*q + 23 - r + 19*q - 11*q wrt q.
13
Let c(d) be the first derivative of 48*d**7/7 - 2*d**5/5 + d**4/4 + 3575*d**3/3 - 1727. What is the third derivative of c(m) wrt m?
5760*m**3 - 48*m + 6
What is the second derivative of 1589*v**2 + 51*v - 147*v - 591*v - 111*v wrt v?
3178
Suppose -4*q - 65 = -5*g, 2*q + 0 = -10. Let l = -6 + g. What is the derivative of -7 + 12 + 7 + 2 + 14*i**l wrt i?
42*i**2
Let b(u) be the second derivative of -1021*u**5/20 - u**4/12 - 281*u**3/6 + 3509*u - 2. Find the third derivative of b(i) wrt i.
-6126
Let p be 275/100 + 1/4. What is the third derivative of -5*z**5 - 19*z**2 + p*z**5 + 2*z**3 - 9*z**2 - 31*z**3 wrt z?
-120*z**2 - 174
What is the second derivative of 3093*c**5 - 4308*c + 3084*c**5 - 393*c**3 - 6179*c**5 + 136*c + 236*c wrt c?
-40*c**3 - 2358*c
Suppose 0 = 21*h - 45 + 3. What is the third derivative of -h*l**5 + 0*l**2 + l**2 - 38 - 15*l**3 - 5 - 9*l**3 wrt l?
-120*l**2 - 144
Let o(d) be the third derivative of 0*d**5 + 0*d + 0 - 1/60*d**6 - 71/6*d**3 - 16*d**2 + d**4. What is the first derivative of o(h) wrt h?
-6*h**2 + 24
Let y(b) be the third derivative of 1153*b**5/60 + 11*b**4/6 + 179*b**2 + 4*b. Find the second derivative of y(d) wrt d.
2306
Let n(j) = j. Suppose -3*a - 7 = -4*a. Let v(y) = 13 - 1 + 8 - y - a. Let m(s) = 2*n(s) - v(s). What is the derivative of m(c) wrt c?
3
Let a = 401 - 334. Find the second derivative of 42*w - 30*w + a - 13*w - 34*w**5 wrt w.
-680*w**3
Let g(k) = -k**4 - 4*k**3 + k + 1. Let l(u) = 1656*u**4 + 20*u**3 - 5*u - 497. Let h(a) = -5*g(a) - l(a). Find the first derivative of h(t) wrt t.
-6604*t**3
Let c(j) be the second derivative of 0*j**2 + 0 + 69*j - 18/5*j**5 + 0*j**4 - 23/2*j**3. What is the second derivative of c(h) wrt h?
-432*h
Let u(q) be the second derivative of q**6/30 + 3*q**5/10 + 13*q**3/6 + 1533*q**2/2 + 3638*q. Differentiate u(n) wrt n.
4*n**3 + 18*n**2 + 13
Let s(l) = 748*l + 5242. Let j be s(-7). Let p(n) be the second derivative of 1/6*n**3 + 5*n**2 - j - 11/6*n**4 + n. Differentiate p(g) with respect to g.
-44*g + 1
Suppose o - 15 = -d, 4*o + 3*d - 12 = 53. What is the second derivative of 9*b - 3*b**2 + 10*b**2 - 9*b**2 - o*b**2 wrt b?
-44
Let d(x) be the second derivative of -331*x**6/30 + x**5/5 + x**4/6 - x**3 + 87*x**2/2 + 2719*x. Find the third derivative of d(c) wrt c.
-7944*c + 24
Let i(n) be the first derivative of n**6/3 + 742*n**5/5 + 201*n**3 + 1354. Find the third derivative of i(j) wrt j.
120*j**2 + 17808*j
Suppose 5*r - 3*m = 13, -10*r - 5*m = -5*r - 5. Find the second derivative of -6*d**2 + 16*d**2 - 47 - 9*d**r - 2*d + 2*d**5 wrt d.
40*d**3 + 2
Let m be 57 - (4 - (-3)/(-3)). Let v = 84 - m. Differentiate -v*r - 28 - 6 - 3 - 15*r wrt r.
-45
Find the second derivative of -7*c**3 - 2 - 10*c - 16*c**3 + 11*c**3 - 10*c**2 wrt c.
-72*c - 20
What is the third derivative of 139*g**3 + 110*g**2 + 72*g**2 + 623*g**3 + 265*g**2 + 200*g**2 wrt g?
4572
Let l = 12 - 30. Let y(r) = -r**2 - 19*r - 16. Let p be y(l). Find the third derivative of c**p + 106 + 19*c**5 - 26*c**2 - 106 wrt c.
1140*c**2
Let v = 59 - 54. What is the third derivative of -16*k**5 - 5*k**2 - k + 22*k**v + 24*k**5 wrt k?
1800*k**2
Let n(k) = -17*k + 70. Let c be n(4). What is the first derivative of -53*w**c - 128 + 273 - 11*w**2 - 139 wrt w?
-128*w
Let o(a) = -4*a**2 - 14*a - 4. Let v be o(-3). Differentiate -z**2 - 84 - 42*z**3 + z**v - 11 wrt z.
-126*z**2
Let v(c) = 2696*c - 2331. Let b(q) = -1344*q + 1165. Let x(f) = 9*b(f) + 4*v(f). What is the derivative of x(r) wrt r?
-1312
Let z(v) be the third derivative of -101*v**8/336 - v**5/12 + 11*v**4/24 + 2140*v**2. Find the third derivative of z(c) wrt c.
-6060*c**2
Let a(l) = -909*l**3 + 6*l**2 - 6*l + 1593. Let u(v) = 1822*v**3 - 11*v**2 + 11*v - 3186. Let g(d) = 11*a(d) + 6*u(d). Find the first derivative of g(c) wrt c.
2799*c**2
Let a(o) = 368*o**2 + 104*o + 4168. Let q(r) = 11*r + 1. Let j(y) = -a(y) + 10*q(y). What is the first derivative of j(z) wrt z?
-736*z + 6
What is the third derivative of -2 + 228967*j**6 + 2 - 2698*j**2 - 226220*j**6 wrt j?
329640*j**3
Let c = -3 + 112. What is the first derivative of 116*v**4 + 23 - c*v**4 + 45 - 6*v wrt v?
28*v**3 - 6
Let c(n) = 24*n + 195. Let z be c(-8). Find the third derivative of r**2 - 299*r**z + 106*r + 87*r + 2*r**2 - 210*r wrt r.
-1794
Suppose -3*y - 4*p = -8*y + 25, 0 = -4*y + 2*p + 20. Differentiate 16*l - 25*l - y - 23*l + 46 with respect to l.
-32
Let y(d) be the second derivative of 971*d**3/6 + 115*d**2/2 + 240*d + 2. Differentiate y(s) wrt s.
971
Let p be 2/2 + -1 + 4. Let j = 1739 + -1737. Find the second derivative of j*q**p - q + 6*q - 5*q**4 + 7*q**4 wrt q.
48*q**2
Find the first derivative of 1356*l + 2278*l - 371*l + 8854 - 5360 wrt l.
3263
Let m(a) be the third derivative of 45*a**8/112 - 17*a**4/12 - 4*a**3/3 + 807*a**2. Find the second derivative of m(c) wrt c.
2700*c**3
Let m(j) be the third derivative of -1427*j**5/60 - 115*j**4/24 + 406*j**2 - 3. What is the second derivative of m(h) wrt h?
-2854
Let w(r) be the second derivative of 5 + 3*r - 61/2*r**2 + r**3 + 11/12*r**4. What is the first derivative of w(y) wrt y?
22*y + 6
What is the first derivative of 35*m**2 - 18*m**2 + 187*m + 882 - 18*m**2 + 422*m wrt m?
-2*m + 609
Let t(v) = 7*v - 61. Let w be t(9). Suppose w*s + 8*s - 110 = 0. What is the second derivative of -2*q**2 - s*q**2 - 7*q - 7*q - 8*q wrt q?
-26
Let z be (-3)/9 + 74/6. Let s be (-4 - 220/(-40))*(-16)/(-6). Find the third derivative of -z*n**2 + 57*n**4 - 27*n**s - 23*n**4 wrt n.
168*n
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