c(h) wrt h.
-78*h**2
Let n(x) be the second derivative of -173*x**3/2 + 365*x**2 - 726*x. What is the derivative of n(i) wrt i?
-519
What is the derivative of -676*w**3 + 3199 + 4*w - 791*w**3 - 1798 - 11816 + 76*w**3 wrt w?
-4173*w**2 + 4
Let b(h) be the third derivative of 0*h**3 + 0*h + 0*h**4 + 43/42*h**7 - 181/60*h**5 + 0*h**6 - 2 + 111*h**2. What is the third derivative of b(t) wrt t?
5160*t
Let s(c) be the second derivative of 3*c**8 - 371*c**4/4 - 265*c. Find the third derivative of s(v) wrt v.
20160*v**3
Differentiate -754*a + 754*a - 3*a**4 - 303*a**3 + 178 - 3643 wrt a.
-12*a**3 - 909*a**2
Let i be (1/6)/((-1)/(-6)). Let d(q) = 14*q - 1. Let c be d(i). What is the first derivative of -c + 8*y - 5*y + 1 - y wrt y?
2
Let r(t) be the third derivative of -11*t**5/20 - 5*t**4/24 + 1415*t**3/3 - 7*t**2 + 5*t - 1. What is the first derivative of r(b) wrt b?
-66*b - 5
Let i(w) = 1473*w**2 + 6*w - 55*w**3 - 64*w**3 - 1386*w**2. Let z(p) = p**3 - p. Let r(f) = -i(f) - 6*z(f). What is the third derivative of r(v) wrt v?
678
Let q(v) be the first derivative of -605*v**2/2 + 1750*v - 5939. What is the first derivative of q(o) wrt o?
-605
Let g(h) be the first derivative of -1366*h**3/3 - 7*h**2 + 20*h + 1211. Find the second derivative of g(n) wrt n.
-2732
Let y = 83 + -81. Suppose -y*p - 18 = -5*p. What is the derivative of p - 6*o**3 + 29 + 0*o**3 + 4*o**3 wrt o?
-6*o**2
Let m(k) be the first derivative of 23/5*k**5 + 0*k**4 + 23/2*k**2 + 186 + 3*k - 1/3*k**3. Find the second derivative of m(t) wrt t.
276*t**2 - 2
What is the second derivative of 35 + 499*o**3 - 3*o**2 - 7*o - 5 + 24 - 768*o**3 wrt o?
-1614*o - 6
Let a(k) be the second derivative of 39*k**7 + 87*k**3/2 + 340*k. Find the second derivative of a(u) wrt u.
32760*u**3
Find the second derivative of -76 + 11 + 70*r**4 + 114*r**4 + 2*r - 226 + 239*r**4 wrt r.
5076*r**2
Let x(y) = y**2 - 4*y - 9. Let i be x(6). Suppose -5*k - 5*h = -3*k - 30, i*h = -k + 13. What is the first derivative of -11*u + 24 + k - 58 wrt u?
-11
Suppose 3*a + 0 = -4*n + 31, -3*a + 7 = -2*n. What is the third derivative of 260*d - 127*d + 62*d**2 + 14*d**n - 135*d + d**6 wrt d?
120*d**3 + 336*d
Let z(l) = l**2 + 3*l - 21. Let y be z(4). Suppose 0 = -8*n + y*n + 2. Find the third derivative of 7*c**4 - 22*c**4 - 9*c**2 + c**n wrt c.
-360*c
Let g(i) = 4166*i**4 + 8*i**2 - 9049. Let o(a) = -1388*a**4 - 3*a**2 + 3016. Let w(h) = -3*g(h) - 8*o(h). What is the first derivative of w(y) wrt y?
-5576*y**3
Suppose -10*w + w + 72 = 0. Let o(j) be the first derivative of -9 + 2*j + 14 + w - j**3. Find the first derivative of o(v) wrt v.
-6*v
Let c be 1/(-2)*(-28)/2. Suppose -n + 48 = c*n. What is the third derivative of -10 - 13*z**2 + 10 - 15*z**n wrt z?
-1800*z**3
Suppose -126 = -2*u - f, 3*u - 74 = 2*f + 108. Differentiate 13 + 100*c - u - 117*c with respect to c.
-17
Let p be (-2)/(-1) - (1 + -3). Suppose -5*a + 95 = -50. Find the third derivative of -6*w**p + a*w**2 - 6*w**2 - w**2 wrt w.
-144*w
Let n(g) be the second derivative of -17*g**2 - 35/6*g**3 - 54*g + 0. What is the derivative of n(r) wrt r?
-35
Suppose -6*m + 717 = 171. Let p be 8/(-14) - (-234)/m. What is the third derivative of -589*c**2 + 12*c**5 + 0*c**5 + 615*c**p wrt c?
720*c**2
Let j(d) be the second derivative of 1157*d**8/56 - 41*d**4/12 - 2*d**2 + 538*d. What is the third derivative of j(l) wrt l?
138840*l**3
Let y(f) be the third derivative of 1/12*f**4 + 0*f + 0*f**3 + 1/60*f**6 + 0 + 1/30*f**5 + 31/70*f**7 + 23*f**2. What is the third derivative of y(t) wrt t?
2232*t + 12
Let r(i) be the second derivative of 7 + 0*i**3 + 0*i**7 - 3/28*i**8 + 0*i**2 + 3*i - 8/3*i**4 + 0*i**5 + 0*i**6. Find the third derivative of r(p) wrt p.
-720*p**3
Suppose -10*m = -5*m - 50. Suppose 0 = 6*j - 4*j - m. What is the second derivative of -6*o - 7*o - 4*o**5 - j*o**3 + 5*o**3 wrt o?
-80*o**3
Let g(p) = p**2 + 1. Let k(m) = 326*m**2 - 63. Let l(n) = -4*g(n) + k(n). Find the first derivative of l(b) wrt b.
644*b
Find the second derivative of -49*x**2 + 206 + 2115*x**2 + 3276*x**2 + 5*x wrt x.
10684
Suppose 0*o + 8 = 2*w + 4*o, -11 = -5*w - o. Differentiate 46 - 90 + 81 - 57*a**w wrt a.
-114*a
Let n(j) be the third derivative of -j**4/12 + 7*j**3/6 - 4*j**2. Let f be n(2). What is the derivative of 6*z**3 + 2*z**f + 31 - 45 wrt z?
24*z**2
Let p(y) = 98*y - 2. Let i(v) = -97*v + 5. Let f = 300 - 306. Let l(t) = f*p(t) - 7*i(t). Find the first derivative of l(n) wrt n.
91
Let q = 28 + -31. Let p(z) = -2*z - 3. Let s be p(q). Find the third derivative of 16*m**3 - 50*m**3 - 9*m**2 + 12*m**s + 19*m**3 wrt m.
-18
Let w(a) = a**2 - 6*a + 35. Let s be w(6). Find the second derivative of -4*c + 25*c**4 - s*c - 21*c - 14*c - 84*c**4 wrt c.
-708*c**2
Suppose -3*j = 5*g - 4*j - 63, -5*g - 2*j + 54 = 0. Let s be (9/3 + -6)*g/(-4). Differentiate 40 + s*x**2 + 25*x**2 - 5*x + 5*x with respect to x.
68*x
Let f(g) = -2058*g**2 - 26*g - 15. Let y(b) = 2056*b**2 + 21*b + 15. Let c(x) = 4*f(x) + 5*y(x). Find the second derivative of c(l) wrt l.
4096
Let c(q) = -671*q**3 - 10*q**2 - 4*q - 6. Let u(w) = -2684*w**3 - 42*w**2 - 17*w - 26. Let y(h) = 26*c(h) - 6*u(h). Find the third derivative of y(s) wrt s.
-8052
Let w be 24/(-14) - (5 + 165/(-35)). Let f be 20/90 + (-86)/36*w. Find the second derivative of k**5 + 244*k - f*k**5 - 275*k wrt k.
-80*k**3
What is the third derivative of 319*h + 1722*h**5 - 899*h - 2713*h**6 - 2*h**2 + 2710*h**6 wrt h?
-360*h**3 + 103320*h**2
Suppose 0 = -4*x + 3 + 5. Let y(q) = 3*q**2 - 2*q - 3. Let r be y(x). Find the second derivative of -20*v + 0*v**5 - v**r - 3*v**5 + v**5 wrt v.
-60*v**3
Let u(v) be the second derivative of -10*v**4 + v**3/3 + 1033*v**2/2 - 2*v - 1527. What is the second derivative of u(d) wrt d?
-240
Suppose -6*v - 81 = -2*v + q, 56 = -3*v + 4*q. Let a = 49 + v. What is the second derivative of -a*d**3 + 26*d + 29*d**3 + 25*d**5 wrt d?
500*d**3
Suppose -8*y = -3*y - 50. What is the first derivative of -y + 5*h**2 - 1 - 6*h**2 - 4 + 10*h wrt h?
-2*h + 10
Let q(d) be the third derivative of d**8/336 + d**7/70 + 103*d**6/40 + 887*d**4/6 + 11*d**2 + 80. What is the second derivative of q(o) wrt o?
20*o**3 + 36*o**2 + 1854*o
Let r(t) be the third derivative of t**8/168 + t**6/60 + 28*t**5/15 + 1006*t**4/3 - t**2 + 386*t + 1. What is the second derivative of r(a) wrt a?
40*a**3 + 12*a + 224
Let v(d) be the third derivative of d**7/210 - d**6/120 + 683*d**4/24 - 1829*d**3/3 + d**2 + 1442. What is the derivative of v(u) wrt u?
4*u**3 - 3*u**2 + 683
Let l(i) be the second derivative of -2869*i**5/20 + 3578*i**3/3 + 9*i + 251. Find the second derivative of l(r) wrt r.
-17214*r
Let d be (-4 + (-213)/6)*(2 + -4). Find the third derivative of d*h**3 + 114*h**2 - 691*h + 691*h wrt h.
474
Let p be (7 - 11 - -4)*(0 + 1). Let d(k) be the third derivative of 1/12*k**4 + 0 - k**3 - 3*k**2 + p*k. What is the derivative of d(a) wrt a?
2
Let q(w) be the first derivative of -22*w**5 + w**4/2 + 2*w**3/3 - 66*w**2 - 147. Find the third derivative of q(s) wrt s.
-2640*s + 12
Let u(m) be the third derivative of -4*m**2 + 11/12*m**4 - m + 5/6*m**3 + 0 - 1/30*m**5. Find the first derivative of u(s) wrt s.
-4*s + 22
Find the third derivative of -221*y**2 - 370*y**2 - 350*y**2 - 198*y**2 + 173*y**3 wrt y.
1038
Find the second derivative of -f**3 - 273 - 277 - 503*f**2 + 550 - 397*f + 56*f wrt f.
-6*f - 1006
Let g = 621 + -618. Let q(t) be the first derivative of 9/4*t**4 + 0*t + 0*t**2 - 21 + 10/3*t**g. What is the third derivative of q(h) wrt h?
54
Find the second derivative of -761612 + 761612 + 1765*r**2 - 13260*r wrt r.
3530
Let i(x) = 588*x**4 + 2*x**3 - 2*x**2 - x + 58. Let z(p) = p**3 - p**2 - p + 1. Let b(n) = i(n) - 2*z(n). What is the second derivative of b(j) wrt j?
7056*j**2
Let q be (-1)/5 + (-365684)/(-220). Differentiate -2*o**2 - 1553 + 52*o**3 + 5*o**2 + q with respect to o.
156*o**2 + 6*o
What is the second derivative of -30*w**2 - 600*w**4 + w - 3487 + 2769*w**4 + 30*w**2 wrt w?
26028*w**2
Suppose -3*x = -4*x - p + 3, 0 = 4*p + 8. Let d = 4358 + -2175. Find the second derivative of x*f**5 - 17*f + 2183 - d wrt f.
100*f**3
Let a(f) = 17*f**2 - 6*f + 7. Let b be a(2). What is the second derivative of -10*w**4 + w**2 - w**2 - b*w**5 + 20*w + 64*w**