3 - 54
Let o(c) be the first derivative of 255*c**4/2 + 22*c**3 - 2*c**2 + 301. Find the third derivative of o(f) wrt f.
3060
Let k(d) = 452*d**3 + 10*d**2 - 5*d - 650. Let l(o) = -224*o**3 - 4*o**2 + 2*o + 325. Let w(b) = 2*k(b) + 5*l(b). What is the derivative of w(j) wrt j?
-648*j**2
Suppose 5*t = -15, -t - 23 = -5*h - 0*t. Let w = 7 - 4. What is the third derivative of -i**2 - 2*i**h - w*i**2 + 6*i**2 wrt i?
-48*i
Suppose -5*y + 5*c + 3 = -12, 1 = -c. What is the second derivative of -392*r**2 + 374*r**y - 3*r - 8*r wrt r?
-36
What is the second derivative of 17*u**2 - 57*u**2 + 149*u + 477*u**5 + 320*u**5 + 40*u**2 wrt u?
15940*u**3
Let j = -2 - -6. Let m = -69 + 72. Find the second derivative of m*l**2 - 3*l - j*l + l**2 wrt l.
8
What is the first derivative of 54*m - 173*m + 53*m + 7*m**2 + 102 + 60*m wrt m?
14*m - 6
Suppose -3*j + 16 = -a, -2*j + 6*a = 3*a - 6. What is the third derivative of 4*y**2 - j*y**2 + 12*y**2 - 2*y**4 - y**4 wrt y?
-72*y
Let b = -17 + 23. Let y(c) = -c**4 - c**2 - 1. Let z(h) = -5*h**4 - h**2 + 6. Let a(w) = b*y(w) + z(w). Find the third derivative of a(l) wrt l.
-264*l
Let c(m) be the first derivative of -193*m**4/2 - 285*m - 379. What is the first derivative of c(s) wrt s?
-1158*s**2
Suppose -1 = 3*z - 7. Suppose 3 = z*n - 1. What is the third derivative of -7*s**2 - 2*s**3 + 8*s**n + 5*s**3 wrt s?
18
Find the second derivative of 275*c + 128*c**5 + 11*c**5 + 326*c**5 - c**5 + 235*c wrt c.
9280*c**3
Let k(p) be the third derivative of -2*p**5/15 - 31*p**4/24 - 3*p**2 + 1. What is the second derivative of k(g) wrt g?
-16
Let r(t) be the first derivative of -54*t**5/5 - 373*t - 470. Find the first derivative of r(q) wrt q.
-216*q**3
Let z(f) be the third derivative of 0*f + 0*f**5 + 0 + 17*f**2 + 0*f**4 - 1/21*f**7 + 0*f**6 + 7/2*f**3. Differentiate z(j) wrt j.
-40*j**3
Let i be 16/36*9/48. Let o(k) be the third derivative of 0*k**3 + i*k**5 + 1/20*k**6 + 0 - 4*k**2 + 0*k**4 + 0*k. What is the third derivative of o(c) wrt c?
36
Find the second derivative of -128*t + 935*t**2 - 61*t - 288*t wrt t.
1870
Let o(c) = -11*c - 6. Suppose -3*a - 30 = -4*f, 0*f + 3*f - 14 = -2*a. Let d(i) = 12*i + 7. Let t(v) = f*o(v) + 5*d(v). What is the derivative of t(h) wrt h?
-6
Let u(g) be the first derivative of 4*g**5/5 + g**4 + 721*g - 290. Find the first derivative of u(w) wrt w.
16*w**3 + 12*w**2
Let x(r) be the first derivative of 7 + 3*r + 3/2*r**2 + 1/6*r**3. Let v(s) be the first derivative of x(s). Differentiate v(w) wrt w.
1
Let u(l) = l**2 - 13*l + 2. Let f be u(13). Find the second derivative of 4*v + 3 - v**f - 10 + 7 wrt v.
-2
Differentiate -72 + 451 + 116*d**4 + 204*d**4 wrt d.
1280*d**3
What is the second derivative of 161*z**3 - 6*z**2 + 162*z**3 + 3 - 335*z**3 + 89*z - 3 wrt z?
-72*z - 12
Let v be ((-3)/(-2))/((-9)/(-18)). Suppose 20 = v*j + 5. What is the second derivative of l**j - 5*l + l**5 - 4*l**5 wrt l?
-40*l**3
Let p(n) = -220*n**2 - 12*n + 6. Let j(x) = 219*x**2 + 11*x - 2. Let u(y) = 5*j(y) + 4*p(y). Find the second derivative of u(t) wrt t.
430
What is the third derivative of 147*h - 15*h**4 + 5*h**4 + 279*h + 8*h**4 + 34*h**6 - h**2 wrt h?
4080*h**3 - 48*h
Suppose -3429 + 3339 = -9*f. Let o(m) be the third derivative of 7/24*m**4 + 0 + 0*m - 13/6*m**3 + f*m**2. Find the first derivative of o(r) wrt r.
7
Let q(x) be the second derivative of 0*x**4 + 0*x**5 + 0*x**3 + 27*x - 21*x**2 + 0 + 7/15*x**6. Find the first derivative of q(d) wrt d.
56*d**3
Let c(g) = -g**4 - g**3 + 2*g**2 - 2*g + 1. Let d(t) = 618*t**4 + 4*t**3 - 8*t**2 + 8*t + 378. Let v(w) = 4*c(w) + d(w). Differentiate v(b) with respect to b.
2456*b**3
Let q(t) = -t**3 - 78*t**2 + 2*t + 19. Let h(p) = p**3 + 157*p**2 - 4*p - 30. Let c(j) = -3*h(j) - 5*q(j). What is the second derivative of c(f) wrt f?
12*f - 162
What is the second derivative of -136 - 4*j**3 - 19*j**2 + 6*j + 135 - 10*j - 9*j wrt j?
-24*j - 38
What is the second derivative of -59*a**2 - 761*a**3 + 120*a**2 - 426*a - 61*a**2 wrt a?
-4566*a
Find the third derivative of -158*i + 11*i**2 - 94*i - 215*i**4 - 14*i**2 + 4*i**2 - 194*i**4 wrt i.
-9816*i
Let h(z) be the first derivative of 7/3*z**3 + 0*z - 10 + 7*z**2. Find the second derivative of h(i) wrt i.
14
Let z(s) = 142*s + 119. Let q(t) = 141*t + 120. Let k(r) = 6*q(r) - 7*z(r). Differentiate k(w) wrt w.
-148
Find the second derivative of 34*u**4 + 28*u**5 + 1 - 34*u**4 - 43*u + 6*u**5 wrt u.
680*u**3
What is the derivative of 615*k + 351 + 406 + 85*k + 206 - 33 wrt k?
700
Let o(k) = 4*k**4 + 6*k**3 - 7*k**2 + 41. Let y(i) = i**3 - i**2 - 1. Let a(w) = -o(w) + 6*y(w). Differentiate a(f) wrt f.
-16*f**3 + 2*f
Let k = 3 - -1. What is the second derivative of -13*u - u**k + 9*u**4 + 0*u**4 wrt u?
96*u**2
Find the third derivative of 38*a**2 - 330*a**3 - 4*a**2 - 14*a**3 - 15 + 14*a**3 - 24*a**2 wrt a.
-1980
Suppose 5*x - x - 160 = 0. Suppose -4*q + 4*p = -x, -p = -3*q - q + 49. What is the second derivative of -4*l**4 - q - 4*l + 4 + 9 wrt l?
-48*l**2
Suppose 8 = -8*b + 7*b. Let w be 144/b*2/(-6). Find the third derivative of -p**2 + p - p + 4*p**w - 5*p**2 wrt p.
480*p**3
Suppose -3*p + 6 = -18. Let s(i) = -i**3 + 8*i**2 + 3. Let o be s(p). What is the third derivative of -d**4 - o*d**2 - 4*d**2 - 9*d**4 + d**2 wrt d?
-240*d
Let m(y) be the third derivative of 0*y**6 + 0*y**4 + 0*y**3 + 0*y - 5/12*y**5 + 1/16*y**8 - 3*y**2 + 0 + 0*y**7. Find the third derivative of m(s) wrt s.
1260*s**2
Let b(c) = c. Let i(y) = -26. Let z(w) = -1. Let a(p) = -i(p) + 39*z(p). Let u(d) = -a(d) + 2*b(d). Differentiate u(j) wrt j.
2
Let z(t) be the third derivative of t**7/3 + t**6/120 + 73*t**3/6 + 22*t**2 + 2. Differentiate z(h) with respect to h.
280*h**3 + 3*h**2
Let t = 42 - 25. Find the second derivative of -t*c**3 - 5*c**4 + 17*c**3 + c**4 + 18*c wrt c.
-48*c**2
Suppose -5*n + 4 = -46. What is the second derivative of n*a - 13*a + 719*a**3 - 740*a**3 + 40*a wrt a?
-126*a
Suppose -6*b + 4*b = 2*x - 8, b = 5*x - 20. Let r(t) be the second derivative of t - 1/2*t**2 + 1/2*t**4 + b + 0*t**3. What is the derivative of r(i) wrt i?
12*i
What is the second derivative of -4 - 66*w**4 - 4*w**5 + 58*w**4 + 3*w - w**5 + 0*w**5 + 6 wrt w?
-100*w**3 - 96*w**2
Suppose -35 = -2*g - 3*g. Let x be 14/4*44/77. Differentiate g*p**x + 13 - 6 - 10 wrt p.
14*p
Let i(o) = -9*o**3 + 4*o**2 - 3*o + 421. Let q(h) = 16*h**3 - 7*h**2 + 8*h - 843. Let v(b) = -7*i(b) - 4*q(b). What is the derivative of v(w) wrt w?
-3*w**2 - 11
Let s(g) = -g**2 - g. Let l be s(1). Let i(p) = p**3 + p + 1. Let o(h) = 5*h**3 + 8 + 1 + 2*h - 5. Let a(x) = l*i(x) + o(x). Differentiate a(k) wrt k.
9*k**2
Differentiate -167 - 28 + 71 - 49*y - 311*y wrt y.
-360
Let j be 8/(-32) + (-626)/(-8). Let l be j/18 + 4/6. What is the second derivative of -3*u**3 - 5*u**l + 3*u**3 - 35*u + 32*u wrt u?
-100*u**3
Suppose -o = -h + 16, -10*h + 5*h = 3*o - 80. What is the first derivative of 9 + 7 - h + 2 + 8*g wrt g?
8
Let m(n) be the first derivative of -31*n**4/4 + 148*n**3/3 + 109. What is the third derivative of m(s) wrt s?
-186
Find the second derivative of 1149*p - 20*p**5 - 1340*p + 108*p**5 wrt p.
1760*p**3
Let h(c) be the first derivative of c**8/84 + c**4/2 + 3*c**2/2 + 15. Let l(u) be the second derivative of h(u). What is the second derivative of l(w) wrt w?
80*w**3
Suppose -m + 3 = 2*m, 47 = 3*v + 2*m. Differentiate 6*a - 7*a + 6*a + 4 - v with respect to a.
5
Suppose 6 = a + 3. Suppose 3*j - 2*i = 26, -a*j - 3*i - 18 = -4*j. What is the third derivative of -2 + 2 - 27*f**2 - 7*f**j + 19*f**2 wrt f?
-840*f**3
Let l(g) = 195*g**3 + 4*g**2 - 316. Let f(k) = 195*k**3 + 5*k**2 - 314. Let h(o) = -4*f(o) + 5*l(o). Differentiate h(t) wrt t.
585*t**2
Let p(s) be the third derivative of 21*s**6/40 - s**5/15 - 403*s**4/24 + 946*s**2. What is the second derivative of p(r) wrt r?
378*r - 8
Let k(b) be the third derivative of 25/6*b**3 - 7/40*b**6 + 0 + 0*b + 0*b**4 - 25*b**2 + 0*b**5. Differentiate k(n) wrt n.
-63*n**2
Let z(m) be the third derivative of 13*m**5/20 + 23*m**3/3 + m**2 + 16. What is the derivative of z(v) wrt v?
78*v
Let c(v) = v**3 - 3*v**2 - 5*v + 8. Let k be c(5). What is the third derivative of 7*z**4 + k*z**2 - z**4 - 42*z**2 wrt z?
144*z
Suppose 3*j - 13 = j - u, -2*j + 4*u = -18