econd derivative of 20*t - 16*t - 15*t**4 - d*t wrt t.
-180*t**2
Let m(f) = -42*f**3 - 7*f**2 + 9386. Let g(v) = -22*v**3 - 4*v**2 + 4690. Let p(b) = -11*g(b) + 6*m(b). Find the first derivative of p(s) wrt s.
-30*s**2 + 4*s
Let r(z) be the third derivative of -191*z**5/60 + z**4/24 - 319*z**3 - 10*z**2 + 113*z. Find the first derivative of r(k) wrt k.
-382*k + 1
Let y(p) be the first derivative of 2578*p**5/5 + 51*p**2/2 + 79*p + 9025. Find the second derivative of y(k) wrt k.
30936*k**2
What is the first derivative of -329*r**2 - 1230 - 28*r**2 + 2741*r**3 + 357*r**2 wrt r?
8223*r**2
Let b(a) = -a**2 - 25*a - 43. Let t be b(-21). Find the second derivative of -17*k**2 - 8 - k**3 + 30*k + 27*k + 2 + t*k - 82*k wrt k.
-6*k - 34
What is the third derivative of -2*u**2 + 96*u - 993*u**4 + 97*u - 229*u + 65*u - 3 + 3886*u**4 wrt u?
69432*u
Let g(i) = -i**3 + 3*i + 1. Let t(n) = -11*n**3 - n**2 + 25*n + 14. Let m(j) = 17*g(j) - 2*t(j). What is the first derivative of m(b) wrt b?
15*b**2 + 4*b + 1
Let x(c) = c**3 - 15*c**2 + 34*c + 27. Let i be x(12). What is the derivative of -108*p**i - 25*p**2 + 144 + 14*p**2 + 42 + 11*p**2 wrt p?
-324*p**2
Let p(i) be the third derivative of 0 + 1/12*i**4 + 0*i - 50*i**2 - 37/6*i**3. What is the derivative of p(k) wrt k?
2
Let d(m) be the third derivative of 17*m**7/210 + 43*m**4/24 - 1001*m**3 + 147*m**2 + 4. What is the derivative of d(a) wrt a?
68*a**3 + 43
Find the third derivative of -8 + 437*o**4 + 605*o**4 + 2*o**2 - 139*o**4 + 825*o**4 - 123*o + 1899*o**4 wrt o.
87048*o
Let r be -4*5/(-20)*2. Let x be (-81)/(-18)*20/6. Find the third derivative of 4*n**2 - 7*n**2 - x*n**3 - r*n**2 wrt n.
-90
Let g(l) be the third derivative of 0 + 0*l + 22/3*l**3 - 19/12*l**4 + 56*l**2. Find the first derivative of g(p) wrt p.
-38
Let p(v) be the second derivative of 457*v**6/5 + 316*v**2 + 2682*v. What is the derivative of p(f) wrt f?
10968*f**3
Suppose -4*n - 170 = n. Let k = 36 + n. Find the third derivative of 14*c**k + 3*c**3 - 14*c**3 + 3*c**2 wrt c.
-66
Let f(v) be the second derivative of 109*v**4/12 + 10*v**3/3 - 2268*v**2 - 2*v - 473. Differentiate f(p) wrt p.
218*p + 20
Let i = -4 - -27. Let b = 83 - 78. What is the third derivative of -47*d**6 + 2628*d**5 + i*d**2 - 2628*d**b wrt d?
-5640*d**3
Let a = 82 + -2. Find the first derivative of 31 + 66*p - a + 25 wrt p.
66
Let b be 10/(-8) + 1 - (-75)/12. Let l be (-2 + 88/20)/(b/40). What is the second derivative of 11*w**2 - l*w**2 - 10*w**2 - 29*w wrt w?
-30
Find the second derivative of -15800*u**5 - 780*u + 8312*u**5 + 9726*u**5 wrt u.
44760*u**3
Suppose u = x + 5, 0 = 2*u + 2*x + x. Suppose 3*z - 24 = -4*c, -2*c - 4 = -5*z + 10. What is the second derivative of 47*n**3 - 8*n**u + 18*n + 8*n**c wrt n?
282*n
Find the third derivative of 123*d**2 - 1183*d**2 - 322*d**2 + 107412*d**4 - 108280*d**4 wrt d.
-20832*d
Let j(o) be the third derivative of 31*o**4/8 + 781*o**3/2 - 2124*o**2. Find the first derivative of j(g) wrt g.
93
Let r(d) = -124*d**3 - 2*d**2 - d + 5004. Let s(c) = -252*c**3 - 4*c**2 - 2*c + 10008. Let k(h) = -5*r(h) + 2*s(h). What is the derivative of k(v) wrt v?
348*v**2 + 4*v + 1
What is the first derivative of -575 + 6*z - 445 - 1546 - 1888 + 723 wrt z?
6
Let t(y) = 3*y**2 - 2. Suppose -i - 2 = -3*c, 7*i + c = 3*i + 5. Let o be t(i). What is the second derivative of 59*m - 50*m + o + 15*m**3 - 1 wrt m?
90*m
What is the second derivative of -199876 + 199876 + 584*s + 2020*s**2 wrt s?
4040
Suppose -25 = -2*r + 65. Suppose -r*s + 43*s = -4. What is the derivative of 7 + 34*f**2 + 5*f**2 + 4 - 10*f**s wrt f?
58*f
Let k(s) be the first derivative of -1327*s**4/4 + 59*s**3 + s**2/2 - 38. Find the third derivative of k(m) wrt m.
-7962
Let b(x) be the third derivative of 659*x**6/120 + x**4/12 - 254*x**3/3 + 10*x**2 - 20*x. Differentiate b(w) with respect to w.
1977*w**2 + 2
Let j(z) be the third derivative of 19/120*z**6 + 1/10*z**5 + 0*z**3 + 0 + 0*z + 18*z**2 + 1/8*z**4. Find the third derivative of j(v) wrt v.
114
Suppose 2*w = -z - 4, -3*z = -4*z - w. What is the derivative of 422*n**4 - 820*n**4 + 413*n**z - 143 wrt n?
60*n**3
Let k(b) be the third derivative of 209*b**7/42 + b**5/60 - 447*b**4/4 - b**2 - 2795*b. What is the second derivative of k(c) wrt c?
12540*c**2 + 2
Let o(h) = 613*h**2 - h + 397. Let r(a) = 614*a**2 + 398. Let c(p) = -2*o(p) + 3*r(p). Find the second derivative of c(w) wrt w.
1232
Let c = 12 + -62. Let m = c - -68. Differentiate -20 - m*z**4 + 4 + 4 with respect to z.
-72*z**3
What is the third derivative of 396*b**3 + 71*b + 43*b**4 - 34*b - 20*b**4 + 2 - 38*b - 3*b**2 - 20*b**4 wrt b?
72*b + 2376
Suppose 14*q - 6 = 12*q. Suppose 0 = -0*t + 5*t + q*w - 66, 0 = 2*t - 4*w - 42. Find the second derivative of 19*f - 13*f**4 - t*f - 8*f wrt f.
-156*f**2
Suppose 2*o - 425 = 1297. Differentiate 30 + 102 - o*k + 4 + 951*k with respect to k.
90
Let x = -13259 - -13264. Let o(g) be the first derivative of 0*g**2 + 0*g**3 + 15*g + 0*g**4 - x - 17/5*g**5. Find the first derivative of o(j) wrt j.
-68*j**3
Let t(s) be the first derivative of 4513*s**5/5 - 1556*s**2 - 3881. Find the second derivative of t(g) wrt g.
54156*g**2
Suppose 0 = -3*z - 6*z + 41526. What is the second derivative of 17*m**3 + 84*m + z - 2306 - 2308 wrt m?
102*m
Let z(n) be the first derivative of -5/2*n**2 + 104*n - 65. Find the first derivative of z(y) wrt y.
-5
Let z be ((-16)/4)/((-2)/3). Suppose 0*l - 3*l - 3*h + z = 0, -2*l + 32 = -5*h. Find the first derivative of l*f + 2*f - 5*f - 5 + 2*f wrt f.
5
Let r(h) be the second derivative of 5212*h**6/15 - 2055*h**3/2 - 8*h - 78. Find the second derivative of r(l) wrt l.
125088*l**2
Let c(l) be the third derivative of -75*l**2 + 0*l**3 + 0 + 0*l**6 + 9/70*l**7 + 1/30*l**5 + 43/12*l**4 + 0*l. What is the second derivative of c(i) wrt i?
324*i**2 + 4
Differentiate 1276 - 21*z**4 - 2*z**3 - 9*z**2 + 3789861*z - 3789861*z with respect to z.
-84*z**3 - 6*z**2 - 18*z
Let m(w) be the third derivative of -2*w**7/105 + 199*w**6/60 + 62*w**5/15 + w**4/12 + w**3/3 - 26*w**2 + 32*w. What is the third derivative of m(n) wrt n?
-96*n + 2388
Suppose 6*s - 3*s - 21 = -4*g, 3*s + g - 12 = 0. Find the second derivative of 49*w**3 - 4*w**3 + 2*w**2 + 4 - 12*w**s + 19*w**3 + 4*w wrt w.
312*w + 4
Let m(i) = -5*i + 27. Let g be m(-10). Differentiate -10*y**3 + 100 + g*y**3 + 48*y**3 - 37 with respect to y.
345*y**2
Let j(l) = 21 + 2*l**2 + 0*l**2 - 16*l**2. Let q = 3082 + -3080. Let v(m) = -7*m**2 + 11. Let x(h) = q*j(h) - 5*v(h). What is the derivative of x(o) wrt o?
14*o
Differentiate -94443*h + 416 + 94443*h + 929*h**3 - 94 with respect to h.
2787*h**2
Let c(l) = -6*l - 54*l - 40*l - 9 + 64. Let q(m) = 202*m - 111. Let v(p) = 5*c(p) + 2*q(p). Differentiate v(i) with respect to i.
-96
Let r be (-1 + -23 + 3)*-1. Suppose -26*o + 21*o = -25. What is the second derivative of 421*d**2 - 26*d**o - 421*d**2 + r*d wrt d?
-520*d**3
Let o(p) be the third derivative of 5*p**8/168 - 2*p**5/3 - 539*p**4/6 + 1405*p**2. What is the second derivative of o(k) wrt k?
200*k**3 - 80
Suppose -42*i + 135 = -15*i. What is the third derivative of 24*f**2 + 4*f**i - 165*f**2 + 8*f**6 - f**6 - 2*f**5 wrt f?
840*f**3 + 120*f**2
What is the third derivative of -57422 + 28709 + 3*c**3 + 10246*c**2 - c**3 + 2470*c**4 + 28713 wrt c?
59280*c + 12
Let u(l) = -l + 22. Let i be u(20). Differentiate 5 - 31*k**2 - 27*k**i + 19*k**3 + 19 + 58*k**2 wrt k.
57*k**2
Let c(g) = -21*g**3 - 12*g**2 + 5. Let f(h) = -5 + 58*h**2 - 1 + 22*h**3 - 45*h**2. Let x(w) = 6*c(w) + 5*f(w). Find the third derivative of x(v) wrt v.
-96
Differentiate 24558*l - 24554*l - 808 + 193*l**2 + 257*l**2 - 9*l**2 wrt l.
882*l + 4
Let m(l) be the first derivative of -2832*l**3 - 235*l**2/2 + 24*l - 439. What is the second derivative of m(s) wrt s?
-16992
Let f(d) = 32*d**2 + 20*d. Let o(n) = -n**2. Let s = 124 - 130. Let a = s + 7. Let k(l) = a*f(l) - 5*o(l). What is the second derivative of k(b) wrt b?
74
Suppose 0 = k + 1 - 5. Let c(r) = r**2 - 5*r - 858. Let n be c(-27). What is the derivative of 12 - n + 39 - 1 + 16*q**k wrt q?
64*q**3
Suppose 3*z - 4*s - 51 = s, 3*z - 2*s = 51. Find the third derivative of 309*l**2 - z*l**4 - 465*l**2 + 29*l**4 wrt l.
288*l
Let w(m) = -3*m**2 - 58*m - 109. L