 4*b**2 + 11 - 3 wrt b.
-120
Let m(u) be the second derivative of 209/2*u**2 + 0 + 0*u**4 + 257/20*u**5 + 0*u**3 + 217*u. What is the first derivative of m(h) wrt h?
771*h**2
Let h(i) be the third derivative of -881*i**9/504 - i**5/5 + 5*i**3/6 - 69*i**2 + 7*i. Find the third derivative of h(y) wrt y.
-105720*y**3
Let q(d) = -708*d**2 + 749*d + 4. Let a(f) = -3539*f**2 + 3747*f + 22. Let p(u) = 2*a(u) - 11*q(u). Find the second derivative of p(b) wrt b.
1420
Suppose 20*t = -70*t + 270. Let g(k) be the third derivative of -7/3*k**t - 1/10*k**5 + 0*k - 8*k**2 + 0 + 0*k**4. What is the first derivative of g(c) wrt c?
-12*c
Let m(t) be the first derivative of 818*t**5/5 - 3*t**4/4 + t**3/3 - 18*t**2 - 13*t - 4087. Find the second derivative of m(r) wrt r.
9816*r**2 - 18*r + 2
Differentiate 149*r - 285*r + 1587 - 246*r - 797*r wrt r.
-1179
Suppose 5*i + 0*i + 5*l + 5 = 0, -1 = l. Let x = 5 - -4. Differentiate -x*r**3 - 1 + 7 + i*r**3 - 4 wrt r.
-27*r**2
Let w = 5272 - 10527/2. Let k(u) be the second derivative of 21*u + 0 + 7/12*u**4 + w*u**2 + 0*u**3. Find the first derivative of k(f) wrt f.
14*f
Let r(s) be the third derivative of 4/3*s**5 + 0*s**4 + 0 - 43/105*s**7 + 59*s**2 + s + 1/60*s**6 + 0*s**3. What is the third derivative of r(f) wrt f?
-2064*f + 12
Let x(j) be the second derivative of -1198*j**6/15 - j**3/6 + 1075*j**2/2 + 12*j - 6. Find the second derivative of x(f) wrt f.
-28752*f**2
Let h be 6/(-12) + 75/6. Find the second derivative of -649*w**4 + 352*w**4 + 346*w**4 - h*w wrt w.
588*w**2
Let r = -132 - -135. Suppose 3*i = r*b + 9, 3*i = 5*b + 4*i - 3. What is the second derivative of 32*j**4 + b*j**4 + 15*j**4 - 5*j**4 + 37*j wrt j?
504*j**2
Suppose 2*n + 771 = 3*x, -2*x + 4*n + 317 + 205 = 0. Differentiate -537 + x + 260 + 22*c with respect to c.
22
Let c(i) = -2*i**3 + 2*i**2 - 1. Let y(l) = 654*l**4 - 42*l**3 - 777*l**2 - 21. Let x(h) = -42*c(h) + 2*y(h). Find the third derivative of x(p) wrt p.
31392*p
Let m = -26 + 49. Let n = m + -17. What is the third derivative of 119*f**6 - 10*f**2 - 6*f**2 - 89*f**n wrt f?
3600*f**3
Let j(n) = 549*n + 3300. Let x(b) = -549*b - 3299. Let k(w) = -4*j(w) - 5*x(w). Find the first derivative of k(z) wrt z.
549
Let d(b) = 5751*b**2 + 5132*b - 49. Let w(y) = 1917*y**2 + 1710*y - 14. Let l(k) = -2*d(k) + 7*w(k). What is the second derivative of l(r) wrt r?
3834
Differentiate -414*m**2 + 244*m + 414*m**2 + 8*m**3 - 10*m**3 + 937 wrt m.
-6*m**2 + 244
Suppose 5*m + 1 + 18 = -2*l, 10 = -5*l. Let b be ((0/(-5))/m)/(-1). What is the third derivative of 9*p**4 + 10*p**4 - 17*p**4 + b*p**2 - p**2 wrt p?
48*p
Let h be 5 - -1 - 3*14/(-21). Let p be h/(-100)*5 + 212/5. Find the second derivative of -1363*j**2 - 9*j + p*j + 1374*j**2 wrt j.
22
Let s(f) be the first derivative of -68*f + 11 - 7/2*f**2. What is the derivative of s(k) wrt k?
-7
Let t(h) be the third derivative of h**9/72 - h**8/21 - 25*h**5/6 + 141*h**2. Find the third derivative of t(w) wrt w.
840*w**3 - 960*w**2
Let h = -118 - -127. Suppose -t = -3*s + 7 - 0, 0 = -3*t + 3*s + h. What is the first derivative of -5 + 8 + t*m**2 + 18 wrt m?
16*m
Suppose -2*m + 4*m = 5*a - 18, 0 = 3*a + 3*m + 6. What is the third derivative of -3*i**3 + 64*i + a*i**6 - 55*i - 9*i + 250*i**2 wrt i?
240*i**3 - 18
Let w be -4 + 7 - -1*(4 + -7). Find the first derivative of 63 - 3*l**2 - l**3 + 24 - 40 + w*l**3 wrt l.
-3*l**2 - 6*l
Let s(l) be the second derivative of l + 1/6*l**3 + 5/12*l**4 + 52 - 23*l**2. Differentiate s(y) with respect to y.
10*y + 1
Let j(a) be the first derivative of 0*a**2 - 190/3*a**3 - 277 - 119*a. Differentiate j(t) wrt t.
-380*t
What is the first derivative of -3*p**4 + 8*p**4 + 15274 - 21*p**4 - 5836 + 133*p**3 + 27*p**3 wrt p?
-64*p**3 + 480*p**2
Let y(w) be the second derivative of 1086*w**7/7 + 235*w**3/6 + 7*w**2 - 2843*w. Find the second derivative of y(z) wrt z.
130320*z**3
Suppose 0 = 12*h - 15*h + 6. Find the first derivative of -155*a**2 - a**3 + 164*a**h - 20 - 2*a**3 wrt a.
-9*a**2 + 18*a
Let v(p) = -3259*p**4 + 3*p - 716. Let o(y) = -3260*y**4 + 2*y - 715. Let c(x) = 3*o(x) - 2*v(x). Find the first derivative of c(w) wrt w.
-13048*w**3
Let h(v) = 2*v - 20. Let p be h(10). Suppose p = -2*q + 20*q - 450. Find the second derivative of 4*s**3 + 2*s - q*s + 2*s**3 + 6*s**3 wrt s.
72*s
Suppose 241 = 87*a + 67. Suppose u = -2*u + 87. What is the third derivative of -16*k**2 + 6*k**6 + u*k**2 - a*k**6 + 28*k**2 wrt k?
480*k**3
Let p(y) = y**3 - 6*y**2 + y - 3. Let d be p(6). Suppose -4*s = -435 + 407. Differentiate -s - 2 - 4 - 17 - d*a wrt a.
-3
Let a(n) be the third derivative of -599*n**7/210 + 241*n**5/30 - 1966*n**2. Find the third derivative of a(h) wrt h.
-14376*h
Suppose -2*l + 63 = l. Let q be l - (-1)/(-4)*(1 - 5). Find the second derivative of 45*v**2 + v - 22*v**2 - q*v**2 wrt v.
2
Let w(f) = 2*f**3 + 11*f**2 + 3*f - 7. Let g be w(-5). What is the derivative of -32*l**g + 10*l**3 - 5*l**2 + 17*l**3 + 27 wrt l?
-15*l**2 - 10*l
Suppose -2*o = z - 10, -5*z + 35 = -2*o + 7*o. Suppose 0 = -3*n - 5*m + 43, n + m = z*m - 9. Find the second derivative of 19*h - 2*h**4 + h**4 - n*h**4 wrt h.
-84*h**2
Differentiate 3569*t + 36*t**2 + 46*t**3 - 3569*t + 1645 wrt t.
138*t**2 + 72*t
Let i be ((-10)/(-3))/(-3 + 46/12). Differentiate -17*x**i - 226 + 105*x**4 + 34*x**4 + 95*x**4 - 16*x**4 wrt x.
804*x**3
What is the third derivative of 8 + 980*c**3 - 1391*c**3 - 1298*c**3 + 97*c**2 wrt c?
-10254
Let z(f) be the first derivative of -1677*f**7/7 + 137*f**3 + 661. Find the third derivative of z(k) wrt k.
-201240*k**3
Let o(y) be the third derivative of y**6/40 + y**5/60 - 227*y**4/24 - 12823*y**3/6 - 92*y**2 - 7*y + 1. Differentiate o(k) with respect to k.
9*k**2 + 2*k - 227
Suppose -339*n = -327 - 690. Let m(d) be the second derivative of 0 + 0*d**2 + 1/2*d**4 + 16/3*d**n - 20*d. What is the second derivative of m(u) wrt u?
12
Let a(c) = 21*c + 3. Let q be a(0). Find the third derivative of 72815*b**6 + b - 72959*b**6 - 3*b**3 + 3*b**q + 29*b**2 wrt b.
-17280*b**3
Let v(c) be the first derivative of 443*c**3/3 - 477*c - 104. Differentiate v(x) with respect to x.
886*x
Let i(j) be the third derivative of -4*j**7/105 + 13*j**5/15 - 1306*j**3/3 + 2550*j**2. What is the derivative of i(a) wrt a?
-32*a**3 + 104*a
What is the first derivative of 667 + 1594 - 1260*i - 1260*i + 7*i**2 + 3790*i - 1234*i wrt i?
14*i + 36
Let c(y) = -369*y**2 + 2*y + 247. Let t(w) = 375*w**2 - 3*w - 247. Let k(x) = 5*c(x) + 4*t(x). Find the first derivative of k(g) wrt g.
-690*g - 2
Let v(y) = -5*y**3 - 8*y**2 + 70*y. Let w(g) = -15*g + 14. Let r be w(1). Let s(f) = f**3. Let j(q) = r*v(q) - 2*s(q). Find the second derivative of j(d) wrt d.
18*d + 16
Let m(z) be the first derivative of 4118*z**7/7 - 4813*z**3/3 - 4306. What is the third derivative of m(a) wrt a?
494160*a**3
What is the second derivative of 0*b**2 + 4421164*b**3 - 4421169*b**3 + 0*b**2 + 1057*b - 66*b**5 wrt b?
-1320*b**3 - 30*b
Let t = 86 - 33. Find the second derivative of 4*m + 40 + 33*m**2 - 38 - 26*m - t*m**2 - 47*m**2 wrt m.
-134
Suppose -v = -n + 87, -2*v = n - 2 - 82. Find the third derivative of 0*y**2 - 7*y - 54*y**3 + 33*y**3 - n*y**3 - 4*y - 2*y**2 wrt y.
-642
Let c(z) = 480*z**3 + 5*z**2 - 91*z - 5. Let g(m) = -959*m**3 - 9*m**2 + 187*m + 10. Let t(a) = 9*c(a) + 5*g(a). Find the second derivative of t(f) wrt f.
-2850*f
Let z(b) be the first derivative of -14*b**4 - 41*b**3/3 - 2159*b**2/2 - 1473. What is the second derivative of z(v) wrt v?
-336*v - 82
Let g(j) be the third derivative of -1121*j**5/30 - 1057*j**4/12 + 3*j**2 - 74*j. What is the second derivative of g(d) wrt d?
-4484
Differentiate 5943 - 95*s**3 + 194*s**3 - 5*s**3 + 7*s + 375*s**3 wrt s.
1407*s**2 + 7
Let t(k) be the second derivative of 29/15*k**6 + 0*k**3 - 75*k + 0*k**5 + 0 + 13/12*k**4 + 0*k**2. What is the third derivative of t(l) wrt l?
1392*l
Let c be (2/(-4) - (-4)/2)*-34. Let p = c + 52. What is the second derivative of -18*u**4 - p - 15*u + 2 - 1 wrt u?
-216*u**2
Let x(v) be the first derivative of 4*v**7/7 + 71*v**4/4 + v**3/3 - 205*v + 1213. Find the third derivative of x(k) wrt k.
480*k**3 + 426
Suppose 7 = 3*m - 0*m - g, 0 = m - 4*g + 16. Suppose m*s + 7*r - 4*r = 22, 0 = r + 2. Find the third derivative