- 3497
Let m be ((-7)/((-42)/16))/((-10)/(-15)). What is the first derivative of 5*k + 205*k**2 - k - m*k - 248 + 273 wrt k?
410*k
Let b(g) = 2*g**4 + g**2 - g + 1. Let w(y) = 5595*y**4 + 5*y**2 - 5*y - 4633. Let x(s) = -5*b(s) + w(s). Find the first derivative of x(v) wrt v.
22340*v**3
Let b(h) be the first derivative of -2349*h**5/5 + 329*h + 2716. What is the first derivative of b(p) wrt p?
-9396*p**3
Let x(s) = 752*s**3 + 120*s**2 + 5*s + 192. Let g(t) = 753*t**3 + 96*t**2 + 4*t + 192. Let q(p) = -5*g(p) + 4*x(p). Find the first derivative of q(f) wrt f.
-2271*f**2
Suppose 4*g = -4*s + 120, -5 + 9 = -4*s. Find the second derivative of -5 + 8*a + 93*a**3 + g*a - 54*a wrt a.
558*a
Let i be (-122)/6 - 8/(-24). Let x(d) = d**2 + 19*d - 17. Let h be x(i). What is the third derivative of -2*b**3 - 6*b**3 + 7*b**2 - 27*b**2 + b**h wrt b?
-42
Let h be ((1215/6)/3)/(60/80). What is the first derivative of h - 569*g - 20 + 53 + 584*g wrt g?
15
What is the third derivative of 19*a**2 - 3345*a**3 - 2260*a + 13*a**2 - 60*a**2 + 27*a**2 wrt a?
-20070
Let o(m) = -17*m**5 + 505*m**4 + 9*m**2 - m. Let p(t) = -6*t**5 + 168*t**4 + 3*t**2. Let q(u) = 4*o(u) - 11*p(u). What is the third derivative of q(n) wrt n?
-120*n**2 + 4128*n
Let y(t) be the third derivative of -191*t**6/15 - 26*t**5/5 + 1080*t**2. Find the third derivative of y(q) wrt q.
-9168
Let u(r) be the first derivative of 631*r**6/2 + 44*r**3/3 - 7*r + 2200. What is the third derivative of u(h) wrt h?
113580*h**2
Let l = -191 - -195. Find the second derivative of 147*h**2 + 33*h + 16*h - 147*h**2 - 47*h**l wrt h.
-564*h**2
Find the second derivative of 40*x**3 + 29*x**2 - 2016*x + 2079*x - 9*x**2 + 16*x**3 + 14*x**2 wrt x.
336*x + 68
Find the third derivative of -4*q**4 + 13*q + 2*q**3 + 6 - 210*q**5 + 210*q**5 + 19*q**2 + 42*q**6 - 14*q + 270*q**6 wrt q.
37440*q**3 - 96*q + 12
Find the third derivative of 2 + 119*u - 157*u - 2 + 3402*u**3 - 11*u**2 wrt u.
20412
Let k(w) = -749*w**2 - 1803*w + 5. Let r(z) = -z**2 - 8*z + 1. Let t(l) = -k(l) + 5*r(l). What is the second derivative of t(y) wrt y?
1488
Let q(t) be the second derivative of 275*t**4/12 + 2*t**3 - 4855*t**2/2 - 2*t + 815. What is the first derivative of q(a) wrt a?
550*a + 12
Let q = 22 - 18. Find the third derivative of -2*m**q - 4*m**2 + 111*m**2 - 4*m**4 wrt m.
-144*m
Differentiate -469*g - 400*g + 2189*g - 877 + 2*g**2 + 2225*g with respect to g.
4*g + 3545
Let a(d) = d**2 + 537*d + 1602. Let h be a(-3). Let m(b) be the second derivative of 19*b + h - 33/2*b**2 - 13/6*b**3. Differentiate m(g) wrt g.
-13
Let w(i) be the third derivative of -i**8/168 - 7*i**6/12 + 367*i**5/5 + 34*i**2 - 74. Find the third derivative of w(b) wrt b.
-120*b**2 - 420
Let m = 17368/5 - 3473. Let i(b) be the second derivative of 0*b**3 - m*b**5 + 0 + 0*b**4 + 5*b + 3*b**2. What is the derivative of i(q) wrt q?
-36*q**2
Let b(c) = -6293*c - 6606. Let s(l) = 31457*l + 33030. Let f(a) = -14*b(a) - 3*s(a). Differentiate f(n) with respect to n.
-6269
Let p(h) = -h - 5. Let w be p(-3). Let s be 2 + w + -4 - -7. Find the second derivative of 5*v**s - 3*v**2 - v - 6*v + 3*v**2 wrt v.
30*v
Suppose 10*q - 9*q - 9 = -2*d, 4*d + 4*q = 24. Find the first derivative of -13*t**d - 52 + 4*t**2 - t**2 - 3*t**2 + 40*t**3 wrt t.
81*t**2
Let s(k) = -763*k**3 - 31 + 767*k**3 - 2*k**4 + 7*k - 7. Let l(i) = i**4 - i**3 + i + 1. Let g(r) = -6*l(r) + s(r). What is the second derivative of g(c) wrt c?
-96*c**2 + 60*c
Find the second derivative of -28125*u**2 - 4558*u**3 - 28127*u**2 - 651*u**3 + 56252*u**2 + 6533*u wrt u.
-31254*u
Let p = 17052 - 17050. Let k(m) be the second derivative of 0 + 0*m**p - 11/6*m**3 + 0*m**4 - 43/20*m**5 + 30*m. Find the second derivative of k(n) wrt n.
-258*n
Let u be (-8)/20*(1 - -9). Let l(f) = 18*f**4 + 3. Let y(z) = -37*z**4 - 7. Let p(c) = u*y(c) - 7*l(c). Differentiate p(j) with respect to j.
88*j**3
Let x(n) be the third derivative of 11/10*n**5 - 46*n**2 + 1/24*n**4 + 0 + 0*n**3 + 2*n. What is the second derivative of x(k) wrt k?
132
Let s(z) = 2*z**2 - 6*z + 4. Let j = -34 + 36. Let x be s(j). Find the third derivative of -3*i**2 + x*i**6 + 5*i**6 + i**2 - 2*i**2 wrt i.
600*i**3
Let i(k) be the second derivative of 1511*k**7/42 - 94*k**3 + 215*k + 4. What is the second derivative of i(n) wrt n?
30220*n**3
Suppose -243 = -22*a + 109. Let k(v) be the first derivative of 18 + 0*v**2 + a*v + 4/3*v**3. What is the derivative of k(t) wrt t?
8*t
Let k(n) = -139*n**3 - 9*n**2 - 1369*n + 3. Let o(l) = 278*l**3 + 22*l**2 + 2737*l - 8. Let y(z) = -5*k(z) - 2*o(z). Find the second derivative of y(g) wrt g.
834*g + 2
What is the second derivative of 59 + 90*b + 35*b - 62 + 20*b + 2*b**3 + 81*b**5 + 8*b**3 wrt b?
1620*b**3 + 60*b
Let u(b) = b - 1. Let s(x) = 6*x - 28. Let j(z) = 2*s(z) - 6*u(z). Let o be j(10). Find the first derivative of 30 - 7*a**2 - 2*a**2 - o*a**2 - 4*a**2 wrt a.
-46*a
Let a(y) = 33168*y**2 + 69*y - 6273. Let f(h) = -1951*h**2 - 4*h + 369. Let n(j) = -4*a(j) - 69*f(j). Find the first derivative of n(c) wrt c.
3894*c
Let v be 22 + -4*((-92)/16 - -5). What is the first derivative of 214 - 122*b**2 - 326 + v*b**2 wrt b?
-194*b
Let z(w) = -3574*w**2 + 302*w - 67. Let u(r) = 4765*r**2 - 403*r + 92. Let q(x) = 8*u(x) + 11*z(x). Find the second derivative of q(m) wrt m.
-2388
Suppose l + 139 = 2*x + 487, 0 = 2*l + 2*x - 720. Differentiate 123 + 27*g - l + 123 + 122 wrt g.
27
Let v(k) = k**3 + 12*k**2 + 11*k + 314. Let l be v(-13). Suppose -5 = -3*j + 2*j. Find the third derivative of -21*f**2 + 12*f**l - 8*f**2 - 33*f**j wrt f.
-1980*f**2
Suppose 5*o + 10 = 0, 5*f - 6*f + 5*o = -12. Find the first derivative of 70*r**f + 170*r**3 - 136*r**2 - 33 + 66*r**2 wrt r.
510*r**2
Suppose 0 = -78*z + 11*z + 268. Differentiate -156 - 58 - 1211*k**z + 1409*k**4 wrt k.
792*k**3
Let f(a) be the first derivative of a**6/3 - 4*a**5/5 + 429*a**4/4 + 2*a**3/3 - 3559*a + 3084. Find the third derivative of f(b) wrt b.
120*b**2 - 96*b + 2574
Suppose 5*a + 4*w - 19 = w, -a - 7 = -3*w. Let f = 12 + -10. Differentiate 47 + k**a + k**f - 39 wrt k.
4*k
Let h(p) = -2*p**2 - p - 3. Let n(i) = i**3 - 10*i**2 + 402*i + 1123. Let u(c) = -5*h(c) + n(c). Differentiate u(o) with respect to o.
3*o**2 + 407
Let w = 12771/20 + -3189/5. Let y(r) be the first derivative of 18 + 0*r**2 + w*r**4 - 16/3*r**3 + 0*r. Find the third derivative of y(x) wrt x.
18
Let v(a) be the second derivative of -4663*a**5/10 - 4117*a**4/6 - 1024*a. Find the third derivative of v(r) wrt r.
-55956
Let z(x) be the second derivative of -x**3/3 - x**2/2 - x + 20. Let h(k) = 12*k**2 - 6*k + 33. Let s(l) = -3*h(l) + 9*z(l). Differentiate s(g) wrt g.
-72*g
Let i(s) be the second derivative of 302*s**6/5 - 1237*s**2/2 - 1445*s. Differentiate i(y) wrt y.
7248*y**3
What is the third derivative of -896*i**3 + 1260*i + 1957*i - 1759*i**3 - 2*i**2 wrt i?
-15930
Find the second derivative of 14924*l**5 + 1332*l + 375*l + 4 - 19448*l**5 wrt l.
-90480*l**3
Let f(b) = 36*b**2 + b - 12. Let z(y) = -115*y - 4 + 39 - 109*y**2 + 112*y. Let p(q) = 11*f(q) + 4*z(q). What is the second derivative of p(h) wrt h?
-80
Suppose -y + 23 + 8 - 9 = 0. Let g(c) be the third derivative of -1/30*c**5 + 0 - y*c**2 + 0*c + 0*c**4 - 5/6*c**3. What is the first derivative of g(q) wrt q?
-4*q
Let y(d) = 2385*d**2 - 1296*d + 1. Let k(c) = -13*c**2 - c + 2. Let p(m) = -k(m) + y(m). What is the second derivative of p(n) wrt n?
4796
Suppose -5*n + 11 = -89. Differentiate -30*r + 54*r - 21 + n - 26 wrt r.
24
Let r(n) be the first derivative of 727*n**5 - 1949*n**3/3 + 723. Find the third derivative of r(l) wrt l.
87240*l
Let h(o) be the second derivative of -5*o**7/3 - o**6/30 + o**5/5 - 2669*o**4/6 - 22*o + 63. What is the third derivative of h(l) wrt l?
-4200*l**2 - 24*l + 24
Let i = 20 - 15. What is the third derivative of -4260*n**i + 4121*n**5 + 29*n - n**2 + 37*n wrt n?
-8340*n**2
Find the third derivative of 6639*k**4 + 4*k - 47*k**2 - 2 - 7173*k**4 - 329*k**2 - 4*k wrt k.
-12816*k
Let g(b) = -999*b**4 + 4*b**2 + 1032*b - 4. Let f(a) = 998*a**4 - 5*a**2 - 1031*a + 5. Let r(x) = -4*f(x) - 5*g(x). What is the second derivative of r(u) wrt u?
12036*u**2
Let b = 977 - 975. Differentiate -129 + 317 + 10*o**2 + 145 + b*o**4 + 8*o**2 wrt o.