- 7854*h**2 + 9*h. Let c(f) = 5*d(f) - 9*y(f). What is the third derivative of c(w) wrt w?
-7770
Let w(n) be the second derivative of -223*n**4/12 + n**3/6 - 445*n**2/2 + 289*n. Find the second derivative of w(m) wrt m.
-446
Let w(t) be the third derivative of t**6/6 + t**5/10 + t**4/24 + 2735*t**3/3 - 76*t**2 - 32. What is the derivative of w(s) wrt s?
60*s**2 + 12*s + 1
Let w(q) be the second derivative of 389*q**4/4 - 137*q**3/3 + q**2/2 - 44*q. What is the second derivative of w(j) wrt j?
2334
Suppose 4*t + 5*g - 5 = 0, 0*g = -4*g - 12. Suppose t*s - 16 = s. Find the second derivative of 11*f + 7*f + 6*f - s*f - 21*f**2 wrt f.
-42
What is the third derivative of -84*z**2 - 35*z**2 + 202*z**2 + z**6 - 53*z**3 + 66*z**3 - 70*z**3 wrt z?
120*z**3 - 342
What is the third derivative of 2*u**3 + 2*u**4 - 209817*u**6 - 3*u**3 + 209282*u**6 + 102 + 4*u**2 wrt u?
-64200*u**3 + 48*u - 6
Let a(i) = -2538*i**2 + 100*i - 5. Let z(x) = 7622*x**2 - 304*x + 14. Let h(u) = 8*a(u) + 3*z(u). Find the second derivative of h(p) wrt p.
5124
Let l = -141 - -193. Find the third derivative of -2 + 87*j**3 - l*j - 57*j + 47*j**2 + 109*j wrt j.
522
Differentiate 196*q**2 - 979*q**2 + 303 + 643 with respect to q.
-1566*q
Let g(h) be the third derivative of h**6/120 + h**5/30 + 73*h**4/3 + 29*h**3/2 - 4428*h**2. What is the derivative of g(j) wrt j?
3*j**2 + 4*j + 584
Suppose -3*d = -15, 3*d = -r + 7*d + 9. Let u = r + -27. Find the second derivative of -28*i**3 - 8*i + 7*i + 2*i**2 - 2*i**u wrt i.
-168*i
Let b(c) be the second derivative of -37*c**7/2 + 5*c**3/6 + 229*c**2/2 + 2*c + 1521. Find the second derivative of b(d) wrt d.
-15540*d**3
Suppose 0 = 6*s - 2*s - 72. Let w = 582 - 456. Find the third derivative of 9*i**2 + 126*i**4 - w*i**4 + s*i**6 + i**2 wrt i.
2160*i**3
Let s be (803/(-55) + 15)/((-4)/(-30)). Let f(p) be the first derivative of 9/2*p**4 + 6*p**s + 0*p + 8 + 0*p**2. What is the third derivative of f(c) wrt c?
108
Let k = -66 - -70. Find the second derivative of 25*p**2 + 18*p**2 + 8*p - k - 15*p wrt p.
86
What is the third derivative of -4187*u**3 + 1542*u**3 - 443*u - 4325*u**3 + 2*u**2 wrt u?
-41820
Let y(o) = -1 - 3 + 1 - 4 - o. Let i be y(-10). What is the second derivative of 8 - 24*h**i - 8 - 2*h + 8*h**3 wrt h?
-96*h
Suppose 266 = 2*w + 262. Differentiate -3*r - 3*r - 6 + 6*r + w*r with respect to r.
2
Let l = -25793 + 25807. Let w(j) be the second derivative of -1/12*j**4 + 21/20*j**5 - l + 0*j**2 - 13/2*j**3 + 2*j. Find the third derivative of w(k) wrt k.
126
Find the second derivative of -4*d**4 + 99*d**5 + 2*d**3 - 27327010 - 4583*d + 27327010 wrt d.
1980*d**3 - 48*d**2 + 12*d
Suppose -14 = -3*b + 31. What is the derivative of -195 + b + 398*m**2 + 2*m**3 + 372*m**2 - 742*m**2 wrt m?
6*m**2 + 56*m
Let q(m) = -4*m + 186. Let j be q(21). What is the derivative of -75 + 10*w**3 - 200*w + 99*w + j*w wrt w?
30*w**2 + 1
Let u = 4 - 2. Suppose -4*f - p + 25 = 0, -12*p + 7*p + 20 = 5*f. Differentiate -6*t**u + f*t**2 - 21 + t**3 - t**2 with respect to t.
3*t**2
Let t(y) = -655*y + 37. Let g be t(-14). What is the derivative of -28 - 42*k**3 + 9207*k - g*k wrt k?
-126*k**2
Let v(n) be the first derivative of -273*n**5/5 - 3*n**2/2 - 10238*n + 274. What is the derivative of v(z) wrt z?
-1092*z**3 - 3
Let k(f) be the second derivative of 367*f**8/7 - 13*f**4/12 - f**3 + 5*f**2/2 - 13*f + 21. What is the third derivative of k(n) wrt n?
352320*n**3
Let a = -250 - -252. Differentiate -26*z**2 - 39*z**a - 3*z**2 + 29 - 143 wrt z.
-136*z
Let h(d) be the second derivative of -3*d**7/7 - d**6/6 - d**4/12 + 157*d**3/3 + 310*d. What is the third derivative of h(t) wrt t?
-1080*t**2 - 120*t
Let g(u) = 2*u**3 - u**2 - 3. Let y be g(2). Suppose -25 = -3*j - 16. Find the second derivative of 26*h**3 - 9*h**4 - 52*h**3 + 26*h**j - y*h wrt h.
-108*h**2
Let n(y) = -1. Let m(v) = -1551*v**3 + 794. Let i(r) = m(r) + n(r). Differentiate i(w) with respect to w.
-4653*w**2
Let z(p) be the third derivative of -41*p**7/210 - 11*p**6/120 - 511*p**3/3 - 140*p**2. Find the first derivative of z(c) wrt c.
-164*c**3 - 33*c**2
Suppose -101*g - 1680 = -106*g. What is the second derivative of g*m**5 + 44*m - 169*m**5 - 190*m - 165*m**5 - 69*m**3 wrt m?
40*m**3 - 414*m
Let o(x) be the second derivative of -x**6/30 + 83*x**5/2 + 157*x**4/6 + 957*x. Find the third derivative of o(b) wrt b.
-24*b + 4980
Let t(w) = -3807*w + 4767. Let o(k) = -7613*k + 9620. Let u(v) = -3*o(v) + 7*t(v). Differentiate u(q) wrt q.
-3810
Let j(g) be the third derivative of 19*g**7/105 + 1873*g**5/60 - 63*g**2. What is the third derivative of j(m) wrt m?
912*m
Let o(s) be the third derivative of -s**8/168 - 427*s**6/120 + 11*s**4/12 + s**3/3 - 10*s**2 - 9*s. Find the second derivative of o(q) wrt q.
-40*q**3 - 2562*q
Let b = -44 + 48. What is the derivative of -37 - 3*v**b - 1941*v + 1941*v + 4*v**3 wrt v?
-12*v**3 + 12*v**2
Let i(d) be the second derivative of d**8/8 - 65*d**7/42 - d**4/6 - d**3/6 + 394*d**2 - 156*d + 1. Find the third derivative of i(r) wrt r.
840*r**3 - 3900*r**2
Suppose -3*q = 3*c, 0*c + 3*c = 5*q - 8. Let f(u) = -u**3 + u**2 + 2*u + 1. Let a be f(c). What is the derivative of 0*m - 9*m - a - m wrt m?
-10
Suppose -6*a = -48, 25*d + 3*a - 21 = 26*d. Let n(o) be the first derivative of -3/4*o**4 - 19 + 0*o**d + 23*o + 3*o**2. What is the derivative of n(l) wrt l?
-9*l**2 + 6
Let u(j) = 38*j + 153. Let q(z) = 36*z + 155. Suppose 4*k - 297 = -317. Let f(p) = k*q(p) + 4*u(p). Differentiate f(l) wrt l.
-28
Suppose 4*h - 2*h - 16 = -4*c, -5*h = 2*c. Let o be -1 - (h + -5 + 4). What is the third derivative of z**o - 6*z**4 + 9*z**4 + 11*z**2 wrt z?
72*z
Let v be 15 + (-8 - -7)*7. Suppose -6 = 3*h - 21. Find the second derivative of -p**2 + 40*p - 17*p**2 - h*p**2 - v*p**2 wrt p.
-62
Let g(s) be the third derivative of 611*s**5/20 - 371*s**4/12 + 36*s**2 + 15*s. What is the second derivative of g(n) wrt n?
3666
Let r be (82/(-3))/((-15)/45). Suppose -r = 2*b - 88. Differentiate -42 - 25*c**b + 76 - 46 with respect to c.
-75*c**2
Suppose 259 = 5*w - 36. Find the third derivative of -w*r**3 - 33579*r + 33579*r - 30*r**2 + 102*r**2 wrt r.
-354
Differentiate 3468 + 2148*u + 260*u + 260*u with respect to u.
2668
Let w(v) = v**3 - 12*v**2 + 20*v + 13. Let u be w(10). Find the second derivative of -167*t**3 + 2 + 164*t**3 + u*t + 6*t**2 - 3 wrt t.
-18*t + 12
What is the first derivative of -3680 + 10251 + 1702*c - 4428 wrt c?
1702
Find the third derivative of 1 - 629*j**6 + 66703*j**2 - 745*j**6 - 66672*j**2 wrt j.
-164880*j**3
Find the first derivative of -4*d - 763 - 421 + 54*d + 120*d wrt d.
170
Differentiate -192*a**2 + 3477 - 13053 + 2338*a**2 wrt a.
4292*a
Let r(s) = 3679*s**2 - 55*s - 7. Let b(t) = -6*t**2 + 5*t + 1. Let k(j) = -2*b(j) + r(j). What is the second derivative of k(x) wrt x?
7382
Let y(b) be the first derivative of 137*b**4/2 + 608*b - 81. What is the first derivative of y(c) wrt c?
822*c**2
What is the derivative of 519*g**2 - 556*g**2 - 560*g**2 - 990*g**2 - 2575 + 45*g**2 wrt g?
-3084*g
Let q(v) be the first derivative of -33*v**5/10 + 7*v**4/2 - 66*v + 47. Let p(i) be the first derivative of q(i). Find the third derivative of p(a) wrt a.
-396
Let b(r) be the third derivative of 1075*r**4/24 - 1099*r**3/6 - 1719*r**2. What is the derivative of b(d) wrt d?
1075
Let w(r) be the first derivative of -26*r - 42/5*r**5 + 0*r**4 - r**2 + 0*r**3 + 51. Differentiate w(d) wrt d.
-168*d**3 - 2
Let o(j) be the first derivative of -5*j**4/4 - 91*j**3/3 + 8*j**2 + 3*j - 909. Find the second derivative of o(f) wrt f.
-30*f - 182
Let k(b) be the second derivative of -745*b**8/56 - 5*b**4/6 - 4*b**3/3 + 374*b. What is the third derivative of k(w) wrt w?
-89400*w**3
Suppose 0 = 2*m + 4*d - 12, 18*m = 15*m + 5*d + 7. What is the third derivative of -78*k**2 + 26*k**6 + 57*k + m*k**4 - 18*k**6 + 81*k**2 wrt k?
960*k**3 + 96*k
Let s(w) = -290*w - 3969. Let i(f) = 870*f + 11922. Let l(g) = -2*i(g) - 7*s(g). Differentiate l(u) wrt u.
290
Let p(k) = -k**3 + 2*k**2 + 4*k - 1. Suppose 7 - 1 = 2*q. Let j be p(q). What is the second derivative of 25*b**j - 21*b - 16*b**2 - 12*b**2 wrt b?
-6
Let x(m) be the first derivative of m**4/2 - 113*m**3 - m**2 - 1800*m + 2613. What is the second derivative o