4). Suppose 69 + i = 3*b. Differentiate 10 + 8*j**4 + 19 - b with respect to j.
32*j**3
Let i = -106 - -186. Let l = i + -77. Differentiate 7 - 3 + 14*f - 3*f + l*f wrt f.
14
Suppose -3 = 3*f, 5*k - 5*f = -4*f + 11. Find the second derivative of -10*c**2 - 21*c**2 + k*c + 33*c**2 - 5*c**4 + 13 wrt c.
-60*c**2 + 4
Let s = 20701/5915 - -3/11830. Let d(v) be the second derivative of 0*v**3 + s*v**2 - 19/12*v**4 - 4*v + 0. Differentiate d(i) wrt i.
-38*i
Let v(s) = 4091*s + 5028. Let l(a) = 2. Let p(g) = 3*l(g) - v(g). What is the derivative of p(o) wrt o?
-4091
Let u(w) be the first derivative of -32*w**5/5 + 77*w**2/2 - 6632*w - 8440. Differentiate u(i) wrt i.
-128*i**3 + 77
Find the third derivative of 3967*v**2 - 86 + 54*v**5 - 83 + 812*v**4 - 56*v**5 + 169 wrt v.
-120*v**2 + 19488*v
Suppose -2*d = -1073 - 487. Suppose 0 = -2*j + j - 4*c + 153, -d = -5*j - 5*c. What is the third derivative of -j + 157 + 5*t**2 + t**2 - 14*t**3 wrt t?
-84
What is the derivative of -16*v + 759 + 177 + v**3 + 451 wrt v?
3*v**2 - 16
Let a(i) be the first derivative of -i**5/5 - 44*i**4 - 967*i**3/3 + 2245. Find the third derivative of a(z) wrt z.
-24*z - 1056
Suppose -27*c - 7932 = -33*c. What is the derivative of -74 - 2650*f**3 + c*f**3 + 1314*f**3 wrt f?
-42*f**2
Let z(y) be the second derivative of 1481*y**6/10 + y**4/12 + 49*y**3/3 + 8*y - 109. What is the third derivative of z(w) wrt w?
106632*w
Suppose -j + g + 4*g + 80 = 0, 56 = j + g. What is the second derivative of -1305*u**5 - 2*u**2 + 1311*u**5 + 6*u**2 + j*u wrt u?
120*u**3 + 8
Let a = 28 + 30. What is the third derivative of 66 + 71 - 134 - 3*f**2 - a*f**6 wrt f?
-6960*f**3
Suppose 2*v - 441 = -5*v. Suppose 10*s - 3*s = v. Find the third derivative of -o**4 - 6*o**2 + s*o**2 - 35*o**4 - 20*o**2 wrt o.
-864*o
Let g(v) be the first derivative of -83*v**3/6 - 123*v**2/2 + 77*v - 129. Let j(n) be the first derivative of g(n). What is the derivative of j(o) wrt o?
-83
Let g(w) be the second derivative of -17*w**4/12 + 41*w**3/2 - 145*w**2/2 - 178*w. Let j(o) be the first derivative of g(o). Differentiate j(f) wrt f.
-34
Let o(x) be the first derivative of -x**7/7 + 2*x**5/5 - 119*x**4/4 + x**3/3 - 7*x**2/2 + 6*x - 10486. Find the third derivative of o(i) wrt i.
-120*i**3 + 48*i - 714
Let u(d) = 7*d**2 - 4*d + 4. Let m be u(3). Find the first derivative of -17 + m*k + 43*k + 38*k - 116*k wrt k.
20
Suppose -20*x = -39 - 281. Let b(a) = -3*a - 1. Let g be b(-2). What is the second derivative of -6*l - 2*l + x*l**g + 2*l wrt l?
320*l**3
Let g(p) be the third derivative of -53*p**9/168 + p**7/210 + 19*p**5/30 + 2*p**3/3 + 7111*p**2. Find the third derivative of g(h) wrt h.
-19080*h**3 + 24*h
Let d(o) be the first derivative of 5503*o**2 + 1623*o + 5634. What is the first derivative of d(k) wrt k?
11006
Let t(p) be the second derivative of 0 + 0*p**5 + 0*p**4 + 33/2*p**2 - 24*p + 0*p**3 + 23/6*p**6. What is the first derivative of t(x) wrt x?
460*x**3
Let n(r) be the second derivative of -19*r**4/12 - 26*r**3/3 - 1842*r**2 + 6045*r. Differentiate n(m) wrt m.
-38*m - 52
Let s = -2051 + 3436. Find the third derivative of s*j**2 + 4*j**4 - 5*j**4 + 5*j**4 - 2*j**3 + 4*j**4 - 1347*j**2 + 3 wrt j.
192*j - 12
Find the third derivative of -22*k**2 - 6*k**2 - 876*k**6 - 19*k + 20*k wrt k.
-105120*k**3
Let c = -31 + 37. Suppose 0 = o + n - c, 4*o - 35 = -5*n - 7. What is the third derivative of -34*u**o + 105*u + 28*u**3 - 105*u wrt u?
168
Let i(q) = 112*q**2 + 7*q - 181. Let w(s) = -232*s**2 - 12*s + 362. Let g(b) = -11*i(b) - 6*w(b). Find the first derivative of g(z) wrt z.
320*z - 5
Let j be (5 - 40/15) + 2/3. What is the third derivative of 6*g**5 + 30*g**2 - g**5 - 52*g**j + 59*g**3 wrt g?
300*g**2 + 42
Suppose -12*u - 8 = -14*u. Suppose 0 = 3*s + 4*n - 10, -2*s + u*n + 2 = 2*n. What is the third derivative of -4*r**s - 13*r**2 + r**2 - 12*r**6 wrt r?
-1440*r**3
Let s = 338 - 335. What is the derivative of -3*q - 742*q**s + 7*q - 214 + 548*q**3 - 4*q wrt q?
-582*q**2
What is the third derivative of -42*f**3 + f - f + 322*f**2 - 408*f**2 - 1326*f**2 wrt f?
-252
Suppose 4*z + 4 = 0, 45*z = -j + 41*z + 44. Differentiate -j*q - 2*q**2 + 4 - 12*q + 219 - 48 - 33 with respect to q.
-4*q - 60
Let a(u) be the first derivative of u**3/3 - 965*u**2/2 + 2038*u - 2726. What is the first derivative of a(x) wrt x?
2*x - 965
Let c(l) = 2040*l + 3929. Let q(u) = -4082*u - 7855. Let n(p) = -14*c(p) - 6*q(p). What is the first derivative of n(g) wrt g?
-4068
Let c(h) be the third derivative of 0 - 8/5*h**6 + 0*h**4 - 73/30*h**5 + 0*h + 1/3*h**3 - 29*h**2. What is the third derivative of c(v) wrt v?
-1152
What is the second derivative of -21*n - 44282*n**4 + 43577*n**4 - 157 + 18*n wrt n?
-8460*n**2
Let h(v) be the second derivative of -83*v + 0*v**2 + 0 + 1/6*v**3 - 63/20*v**5 + 40/3*v**4. What is the third derivative of h(f) wrt f?
-378
Let t(f) be the first derivative of 194 + 0*f**2 - 65/4*f**4 + 0*f**3 - 227*f. Differentiate t(c) wrt c.
-195*c**2
Suppose -14*y + 2584 = 3*y. What is the derivative of -476 + 173 + y - u**3 wrt u?
-3*u**2
Let l(r) = -5*r - 16. Let g be l(-4). Differentiate -56 - 3*x**4 + 2710*x**3 - 80*x**g - 2710*x**3 wrt x.
-332*x**3
Let d(p) be the second derivative of 0*p**4 + 0*p**5 - 3*p - 43/3*p**3 + 12 + 0*p**2 - 43/5*p**6. What is the second derivative of d(f) wrt f?
-3096*f**2
Let h(n) = 3*n**3 + 238*n**2 + 3044*n + 5. Let d(y) = -2*y**3 - 236*y**2 - 3045*y - 4. Let b(x) = 5*d(x) + 4*h(x). Find the second derivative of b(p) wrt p.
12*p - 456
Let z(w) be the second derivative of 6101*w**8/56 - 1913*w**4/6 - 4654*w. What is the third derivative of z(r) wrt r?
732120*r**3
Let p be (6/24)/((-1)/(-18))*4. What is the second derivative of r**2 - p*r**4 + 9093*r - 9118*r - 3*r**4 wrt r?
-252*r**2 + 2
Let b(g) = 1176*g**3 + g**2 - 3*g + 17. Let u(f) = 4705*f**3 + 5*f**2 - 13*f + 69. Let r(a) = 9*b(a) - 2*u(a). What is the second derivative of r(s) wrt s?
7044*s - 2
Suppose 10 - 2 = 4*o. Suppose 0 = 34*p - 423 - 155. Find the third derivative of 6*b**o + 9*b**2 - 6*b**2 + b**2 - p*b**3 wrt b.
-102
Let p = -99 - -101. What is the third derivative of 15*x**2 - 7*x**2 - p*x**2 + 12*x**6 wrt x?
1440*x**3
Let j(z) be the first derivative of 65*z**3/3 + z**2/2 - 4587*z - 1964. What is the derivative of j(b) wrt b?
130*b + 1
Let d(i) = -38*i**4 - 12*i**3 - 3*i**2 + 4*i + 6093. Let f(g) = -4*g**4 - g. Let c(x) = -d(x) - 4*f(x). What is the first derivative of c(u) wrt u?
216*u**3 + 36*u**2 + 6*u
Let d(b) = 2*b**2 + 18*b - 20. Let r be d(-10). Suppose r = -11*l + l + 20. What is the second derivative of 21*h**l - 35*h**2 + 15*h**2 + 10*h wrt h?
2
Let i(h) = 437*h**2 + 4*h - 6482. Let t(r) = -217*r**2 - 2*r + 3240. Let v(g) = -4*i(g) - 7*t(g). Find the first derivative of v(d) wrt d.
-458*d - 2
Let x(f) = 4*f**2 - 52*f + 2. Let j be x(13). Find the first derivative of -50 + g**j + 65 - 16*g - 72 wrt g.
2*g - 16
Suppose f - 2*f = 4. Let i(t) = 122*t**3 - 37*t**2 - 8*t. Let y(j) = j**3 + 2*j. Let c(o) = f*y(o) - i(o). What is the third derivative of c(p) wrt p?
-756
Suppose 3*a = 3*b + 15, 10 = 3*a - 2*b - 0. Find the second derivative of 2*m**4 + a*m**3 + 286*m + 16*m**3 - 362*m wrt m.
24*m**2 + 96*m
Let s be (-1 + -2 - (-9 + 7))*-4. What is the first derivative of -4*y**4 - 3*y**s + 77*y**3 - 77*y**3 - 60 wrt y?
-28*y**3
Let a(k) be the second derivative of 5*k**7/7 - k**5 + 7*k**4/4 - 24*k**2 + 2087*k. Find the third derivative of a(j) wrt j.
1800*j**2 - 120
Differentiate 194*d - 973*d - 1822 + 2*d**4 + 55 wrt d.
8*d**3 - 779
Let s be (3 - (-1 + -1 + 0)) + -1. What is the second derivative of 27*r**5 - 11*r - 2 + 6*r - 13*r + s - 3 wrt r?
540*r**3
Let k(s) = -657*s**3 + 30*s**2 - 4. Let n(y) = y**3 + y**2. Let t(u) = -k(u) + 5*n(u). What is the third derivative of t(p) wrt p?
3972
Let t(u) be the second derivative of -1439*u**5/10 + 1483*u**2 + 201*u - 10. What is the first derivative of t(b) wrt b?
-8634*b**2
Suppose -h - 4*g = -6, -18*h - g = -14*h - 9. What is the derivative of -109 + 4*q**2 + 3*q**2 + 22*q**2 - 13*q**2 + 11*q**h wrt q?
54*q
Let x(d) be the first derivative of -4*d**6 + 0*d + 0*d**2 - 61/3*d**3 + 0*d**4 + 114 + 0*d**5. What is the third derivative of x(v) wrt v?
-1440*v**2
Let o(i) = -i**4 - 78*i*