a.
-67
Let f(x) be the second derivative of -2259*x**7/14 + 281*x**3/6 - x**2/2 - 8*x + 69. What is the second derivative of f(m) wrt m?
-135540*m**3
Let b be 61/3*(-1 - -8 - 4). Let u = 85 - b. What is the second derivative of -14*x + u*x - 23*x - 5*x**2 - 4*x**2 wrt x?
-18
Let l(f) be the second derivative of -65/12*f**4 - 1 + 0*f**3 + 24*f + 0*f**2 - 11/4*f**5. Find the third derivative of l(o) wrt o.
-330
Let j(q) = -233*q + 85. Let g(c) = 698*c - 256. Suppose 12*p = 13*p - 1, 0 = -5*l - 5*p - 15. Let m(i) = l*g(i) - 11*j(i). Differentiate m(o) wrt o.
-229
Let r be 6/(11 - (-48)/(-6)). Let y(v) be the first derivative of 0*v + 0*v**3 - 19/5*v**5 - 3 - 3*v**r + 0*v**4. What is the second derivative of y(s) wrt s?
-228*s**2
Suppose l + 0*l - 167 = -4*d, 5*d = 5*l + 240. Differentiate 50*h - 34*h + 20 + d with respect to h.
16
Suppose -3*z = -56 + 41. What is the second derivative of 10*y**2 + 2*y**2 - 12*y**2 - 11*y**5 + 49*y**z + 242*y wrt y?
760*y**3
Let j(l) be the first derivative of 10*l**4 - 2/5*l**5 + 15*l + 93 + 0*l**3 + 0*l**2. Differentiate j(t) with respect to t.
-8*t**3 + 120*t**2
What is the second derivative of 14 - 10*q**3 + 14 + 2*q + 8 - 9*q**2 - 30*q**2 - 11 wrt q?
-60*q - 78
Find the second derivative of -10*i**2 + 5*i**5 + 364*i + i**5 + 2199*i - 41*i**2 + 488*i wrt i.
120*i**3 - 102
Let z(m) = 733*m - 9659. Let y(k) = -370*k + 4827. Let w(h) = 9*y(h) + 4*z(h). Differentiate w(p) wrt p.
-398
Suppose -3*q + 4*d + 2 + 0 = 0, 5*q = -5*d + 50. Let b(m) = -4*m - 24. Let s be b(-7). Find the first derivative of -26*k - s - 3 - q + k wrt k.
-25
Let g be ((-153)/(-204))/((-10)/16 - -1). Find the third derivative of -16*c**3 - 6*c - 3*c + g*c**2 - c + c wrt c.
-96
Find the second derivative of 764*o + 309*o**4 + 309*o**4 - 611*o**4 + 2*o**3 - 3*o**3 wrt o.
84*o**2 - 6*o
Let s(w) be the third derivative of -49*w**6/120 + w**5/60 + 165*w**3 - 328*w**2. Differentiate s(m) with respect to m.
-147*m**2 + 2*m
Let c be (14/(-8))/((-7)/8). Let w(x) be the second derivative of 0*x**3 + 5/6*x**4 + 0 + 3*x - 4*x**c. Differentiate w(p) with respect to p.
20*p
What is the first derivative of 121*u - 1145 + 38586*u**2 - 38574*u**2 - 3635 wrt u?
24*u + 121
Let z(n) be the first derivative of 0*n**4 - 3/2*n**2 + 2/5*n**5 - 61 + 31/3*n**3 + 11*n. What is the second derivative of z(d) wrt d?
24*d**2 + 62
Let p(b) = -b**3 - 30*b**2 - 54*b + 61. Let d be p(-28). Find the second derivative of -283*x**5 + x + 25*x**d + 27*x**5 + 60 - 66 + 5*x wrt x.
-4620*x**3
Let q(l) be the second derivative of -4385*l**4/12 - 386*l**3/3 - l**2 - 2296*l. Find the second derivative of q(r) wrt r.
-8770
Let f(b) be the first derivative of -84 - b + 0*b**2 - 91/4*b**4 - 83/3*b**3. Find the third derivative of f(i) wrt i.
-546
Let v(y) be the third derivative of y**8/7 - 11*y**5/15 + 3*y**3/2 - 122*y**2 - y. What is the third derivative of v(t) wrt t?
2880*t**2
Let w(i) = 10*i - 39. Let t be w(5). Let o be 5/(-5) + (2 - -1). Find the second derivative of -t*c - 11*c + 10*c + 17*c**2 - 3*c**o wrt c.
28
Let k(h) = -h**2 + 20*h + 1875. Let f(g) = -3*g**2 + 20*g + 1867. Let y(w) = -4*f(w) + 3*k(w). Differentiate y(u) with respect to u.
18*u - 20
Let n(s) be the second derivative of -562*s**4 - 194*s**3 - 6220*s. What is the second derivative of n(k) wrt k?
-13488
Let x(v) be the first derivative of -46*v**7/7 - 5*v**6/6 - v**5/5 - 43*v**3/3 + v**2 - 3*v + 9706. What is the third derivative of x(o) wrt o?
-5520*o**3 - 300*o**2 - 24*o
Let v(z) be the first derivative of 726*z**5 - 3948*z - 6323. What is the derivative of v(h) wrt h?
14520*h**3
Let i(s) = 1099*s**3 - 4506*s - 5. Let j(q) = -q**3 + q - 1. Let v(g) = i(g) - 5*j(g). Find the second derivative of v(c) wrt c.
6624*c
Suppose -48*x + 49*x = 3. Find the first derivative of -4 - 83*d**x + 26*d**3 - 17 wrt d.
-171*d**2
Let c be (0/(-5 - -11))/1. Let n(z) be the first derivative of -6*z**2 + 0*z + 8 + 16/5*z**5 + 0*z**3 + c*z**4. Find the second derivative of n(k) wrt k.
192*k**2
Let g be 1/4 + (-62)/(-8). Let v = -551 + 554. Differentiate g*w**4 + 137*w**v + 14 - 137*w**3 wrt w.
32*w**3
Let m(x) = -31*x - 22. Suppose 0 = -11*v + 17 + 5. Let l(c) = -65*c - 45. Let w(u) = v*l(u) - 5*m(u). Differentiate w(t) wrt t.
25
Let r(u) be the second derivative of -1967*u**5/5 - 7*u**4/3 - 61*u**3/6 - 4562*u. Find the third derivative of r(h) wrt h.
-47208
Let r be (154/1386)/((((-2)/26)/1)/(-3)). Let v(w) be the first derivative of -w - r*w**3 - 24 + 0*w**2. Differentiate v(g) with respect to g.
-26*g
Let g(s) = -4*s**2 - s + 1. Let v(x) = 6 - 23 - 30 - 772*x + 19*x**2 + 767*x. Let d(u) = -5*g(u) - v(u). Differentiate d(t) wrt t.
2*t + 10
Differentiate 1393 + 1178 - 1953*n + 626 - 5173 wrt n.
-1953
Let u = -6 - -10. Suppose 5*q = 7*q - u. What is the second derivative of -11*w + 2*w - 3*w**q - 6*w**2 + w**2 wrt w?
-16
Let f(a) be the second derivative of 0*a**3 - 1/3*a**4 - 10*a + 8 - 269/2*a**2 - 19/20*a**5. What is the derivative of f(y) wrt y?
-57*y**2 - 8*y
Let n = 848 - 845. Find the third derivative of -7*z**n - 19*z**3 + 28*z**3 - 82*z**5 + 2*z - 2*z - 207*z**2 wrt z.
-4920*z**2 + 12
Let c(f) be the second derivative of -333*f**5/20 + 725*f**2/2 + 232*f. Differentiate c(q) with respect to q.
-999*q**2
Let v(j) = -j + 5. Let h be v(4). Let m be h/(1 - -2)*0. Find the second derivative of 4*f**4 - f**3 + f**3 + 10*f + m*f**4 wrt f.
48*f**2
Differentiate -1580 + 230119*f - 115904*f - 116728*f wrt f.
-2513
Let h(u) be the first derivative of -5/3*u**3 + 0*u**4 + 189 - u - 24*u**6 + 0*u**5 + 0*u**2. What is the third derivative of h(k) wrt k?
-8640*k**2
Let r(y) be the third derivative of -203*y**4/24 - 86*y**3/3 + 802*y**2. Find the first derivative of r(m) wrt m.
-203
Let j(h) = h**5 + 3*h**3 + h**2. Let w(z) = 3*z**5 - 1077*z**4 + 6*z**3 + 2081*z**2. Let x(n) = 2*j(n) - w(n). What is the third derivative of x(v) wrt v?
-60*v**2 + 25848*v
Let n(h) = -933*h**3 - 761*h**2 + 8. Let b(r) = -1400*r**3 - 1142*r**2 + 13. Let w(p) = -5*b(p) + 8*n(p). Find the third derivative of w(z) wrt z.
-2784
Let l(w) = -w**4 - w**3 - w**2 - w. Let d(k) = -219*k**4 - 3*k**3 - 3*k**2 - 14*k - 800. Let s(u) = d(u) - 3*l(u). What is the first derivative of s(j) wrt j?
-864*j**3 - 11
Let r(j) be the first derivative of -182*j**6 - 57*j**3 + j**2/2 - 3674. Find the third derivative of r(w) wrt w.
-65520*w**2
Let l(p) be the third derivative of -331*p**5/60 + 218*p**3/3 - 1422*p**2. What is the first derivative of l(m) wrt m?
-662*m
Let p(f) = 603*f**3 + 5974*f**2 - 4*f. Let w(h) = -3015*h**3 - 29867*h**2 + 22*h. Let y(o) = 11*p(o) + 2*w(o). Find the third derivative of y(z) wrt z.
3618
Let d(u) = 318*u**3 - 9*u**2 + 2905*u - 6. Let g(h) = 647*h**3 - 15*h**2 + 5809*h - 10. Let p(o) = 5*d(o) - 3*g(o). Find the second derivative of p(t) wrt t.
-2106*t
Let j(u) be the second derivative of 91/10*u**5 + 0*u**3 + 0*u**4 + 229/2*u**2 + 0 - 80*u. What is the derivative of j(k) wrt k?
546*k**2
Let q(s) be the second derivative of 7/20*s**5 + 0*s**6 + 0*s**2 + 21/4*s**4 + 0*s**3 - 2/21*s**7 + 178*s + 0. Find the third derivative of q(d) wrt d.
-240*d**2 + 42
What is the first derivative of -203 + 4102*f - 102 - 117 - 670*f wrt f?
3432
Let u(h) = -5825*h + 3543. Let o(k) = 75726*k - 46060. Let v(b) = -2*o(b) - 27*u(b). What is the derivative of v(a) wrt a?
5823
Find the second derivative of -1221*j**2 + 138*j + 2364*j**2 + 3479*j**2 + 136*j + 458*j wrt j.
9244
Let c(l) be the second derivative of -2459*l**5/20 - 17*l**4/12 + 53*l**3/6 - 311*l - 10. What is the third derivative of c(p) wrt p?
-14754
What is the derivative of 1927540*w**3 - 384 - 1927540*w**3 - 1754*w**4 + 911*w**4 - 7350*w**4 wrt w?
-32772*w**3
Let z(x) = 13*x**4 + 14*x**3 - 9*x**2 + 7*x - 24. Let c(h) = h**4 + h**3 + h**2 - h - 4. Let d(q) = -6*c(q) + z(q). What is the third derivative of d(k) wrt k?
168*k + 48
Let q = -22 + -2. Let u be (q/10)/(-1 + 35/50). Find the second derivative of 5*w + 13*w + 4*w**2 - 10*w - u*w**2 wrt w.
-8
Let p(i) be the second derivative of i**6/24 + 5*i**4/24 + 37*i**3/6 - 53*i**2/2 + 23*i. Let h(y) be the first derivative of p(y). Differentiate h(m) wrt m.
15*m**2 + 5
Suppose 4*x + 56 = r, -3*x + 48 = r + x. Suppose 0 = -5*o + 28 + r. Find the first derivative of 