he third derivative of v*j**2 - 6*j**3 - 43*j**2 + 22*j**2 wrt j?
-36
Let c(y) = -59*y**2 - 4*y + 198. Let t(k) = -29*k**2 - 3*k + 99. Let u(z) = 2*c(z) - 5*t(z). What is the first derivative of u(m) wrt m?
54*m + 7
Let h = 39 + -37. What is the third derivative of 5*g**6 - 2*g**2 - g**6 - h*g**2 + 19*g**6 wrt g?
2760*g**3
Let f(s) be the second derivative of 0*s**3 - 19/12*s**4 - 18*s + 0 - 6*s**2. What is the first derivative of f(d) wrt d?
-38*d
What is the first derivative of 345 + 36 + 17*m**2 + 43 + 5*m + 77 + 21*m**2 wrt m?
76*m + 5
Let n(w) be the third derivative of -1/10*w**6 - 22 - 2/3*w**3 + 0*w - 1/210*w**7 + w**2 + 0*w**4 - 1/20*w**5. What is the third derivative of n(j) wrt j?
-24*j - 72
Suppose -5*a + 87 = -0*a - 3*v, v + 64 = 4*a. Find the third derivative of 14*h**4 + 7*h**2 + 0*h**2 - a*h**4 - 23*h**4 wrt h.
-576*h
Let p(i) = 28*i**2 - i - 12. Suppose -10 + 5 = 5*j. Let a(k) = k + 1. Let s(b) = j*a(b) - p(b). Find the first derivative of s(u) wrt u.
-56*u
Let g be (-15)/((-2)/((-42)/(-9))). What is the second derivative of -35 + g + 8*o**2 - 29*o wrt o?
16
Find the first derivative of 53*i**3 - 217 + 5*i**3 - 8*i**3 + i**3 wrt i.
153*i**2
Let c(h) be the second derivative of 49*h**3/6 - 11*h**2/2 + 15*h - 2. What is the derivative of c(w) wrt w?
49
Let b = 20 + -8. Find the second derivative of -q**2 + q**2 + b*q + 20*q**3 - 29*q**3 wrt q.
-54*q
Let k(h) be the second derivative of 197*h**6/30 + 47*h**3/2 - h**2/2 - 58*h - 1. What is the second derivative of k(i) wrt i?
2364*i**2
Let u = -208 - -318. Find the first derivative of -u*l + 110*l - 43 + 51*l**2 wrt l.
102*l
Let v(d) be the second derivative of d**7/140 - d**4/2 + 5*d**3/6 - 11*d. Let s(c) be the second derivative of v(c). What is the first derivative of s(h) wrt h?
18*h**2
Let l(v) = -v**4 + v**2 - v. Let j(f) = 853*f**5 + 3*f**4 - 18*f**2 + 3*f - 6. Let c(o) = -j(o) - 3*l(o). What is the third derivative of c(t) wrt t?
-51180*t**2
Let d(h) be the second derivative of 0 + 0*h**2 + 0*h**7 - 2/3*h**4 + 17*h - 1/14*h**8 + 0*h**6 + 0*h**5 + 0*h**3. Find the third derivative of d(b) wrt b.
-480*b**3
Let x(q) be the third derivative of 10*q**2 + 0 + 0*q + 1/6*q**4 + 8/3*q**3. Differentiate x(g) wrt g.
4
Let y(z) be the first derivative of 24*z**5 - 4*z**3/3 + z + 106. Find the third derivative of y(k) wrt k.
2880*k
Let c be 2/(0 - (-2)/(-25)). Let i be 8/(-48) + c/(-6). Differentiate 1 + 20*o**4 - 23*o**i + 1 with respect to o.
-12*o**3
Let s(h) = 2*h**3 - 2*h**2 + h - 3. Let q be s(2). Suppose -8 = -q*x + 3*x. What is the derivative of -9*i**x + 0 + 11 - 6 wrt i?
-18*i
Let w(k) be the second derivative of 0*k**5 + 0*k**3 + 19*k + 5/6*k**4 + 0*k**2 + 0 - 7/15*k**6. Find the third derivative of w(l) wrt l.
-336*l
Let z be ((-10)/7)/(2/(-7)). What is the second derivative of -o**z - o**5 + 5*o**5 + 14*o wrt o?
60*o**3
Let s(a) = 7*a**3 + a**2 + a + 1. Let y(h) = -19*h**3 - 3*h**2 - 56*h - 358. Let r(b) = 3*s(b) + y(b). What is the first derivative of r(g) wrt g?
6*g**2 - 53
Let a(v) = 4*v**3 + 3*v**2 - 26*v - 336. Let o(i) = -i**3 - i**2. Let k(y) = a(y) + 3*o(y). Differentiate k(l) wrt l.
3*l**2 - 26
Let x(j) be the second derivative of 2*j**4 + 0*j**3 - 1/56*j**8 + 1/2*j**2 + 0*j**7 + 0*j**5 + 0 + 10*j + 0*j**6. What is the third derivative of x(i) wrt i?
-120*i**3
Let k(y) be the third derivative of 1/10*y**5 + 19*y**2 + 0*y**3 + 0 + 0*y + 17/24*y**4. What is the second derivative of k(a) wrt a?
12
Find the second derivative of -3*d - 114*d**3 - 35 - 19 - 10 wrt d.
-684*d
Find the third derivative of 68*o**4 + 27 - 13*o**2 + 148*o**4 + 328*o**4 - 13 wrt o.
13056*o
Let p(a) = a**3 - a**2 + a - 1. Let h(j) = -148*j**3 - 2*j**2 + 2*j + 239. Let q(n) = h(n) - 2*p(n). Find the first derivative of q(r) wrt r.
-450*r**2
Suppose -2*r - 8*z = -4*z + 6, 0 = r + 4*z + 11. What is the first derivative of -22*h + 4 + r*h + 4*h wrt h?
-13
Let r = 3 - 0. Let o = 237 + -216. Find the second derivative of r*v + 2*v - 21 - 4*v**3 + o wrt v.
-24*v
Suppose 2 + 25 = a. Suppose -a = -3*x + 3. What is the derivative of 4*v - 5 - 3*v + x - 4*v wrt v?
-3
Let n(l) = -2*l - 9. Let a be n(-6). Suppose a*k + k - 8 = 0. What is the second derivative of 0*p - 2*p**k + 3*p**2 + p wrt p?
2
What is the second derivative of 9*i - 21*i**2 - 8 - 138*i**2 + 6*i - 27*i - 24*i wrt i?
-318
Let t be 48/120*10/1. Find the first derivative of 43*a - a**t - 17 - 43*a wrt a.
-4*a**3
Let n be 35/28 - (-7)/4. Find the second derivative of -981*c**3 + 21*c**4 - 37*c + 981*c**n wrt c.
252*c**2
Suppose -5*u - 25 = 0, -3*d + 4*u + 22 = 2*u. Suppose 0 = p + 4*w - 18, 0*w - d*w + 14 = -p. What is the second derivative of 2*x**2 + 2*x + 7*x - 4*x**p wrt x?
-4
Let x(l) be the first derivative of l**5/5 - 19*l**4/4 + l**3/3 + 341*l**2/2 - 257. Find the third derivative of x(t) wrt t.
24*t - 114
Let a(d) be the first derivative of -7*d**6/30 - d**3/3 - 4*d - 5. Let n(j) be the first derivative of a(j). Find the second derivative of n(v) wrt v.
-84*v**2
Let a(y) be the first derivative of 31/2*y**2 + 0*y - 27/4*y**4 + 8 + 0*y**3. Find the second derivative of a(v) wrt v.
-162*v
Let a(h) = -h**3 - 5*h**2 - 4*h + 4. Let c be a(-4). Find the first derivative of -217*r**4 - 7 + 208*r**c + 1 wrt r.
-36*r**3
Let k(s) = -16*s**4 - 29*s**3 + 2*s. Let p(f) = 5*f**4 + 10*f**3 - f. Let a(n) = 3*k(n) + 8*p(n). What is the second derivative of a(b) wrt b?
-96*b**2 - 42*b
Let n(y) be the second derivative of -1/30*y**6 + 0*y**2 + 4*y + 0*y**4 + 11/3*y**3 + 0*y**5 + 0. What is the second derivative of n(j) wrt j?
-12*j**2
What is the first derivative of -101 + 126*q - 132 - 35 + 22 - 39 wrt q?
126
Let b(v) be the first derivative of 44*v**7/7 - 244*v**3/3 - 366. Find the third derivative of b(x) wrt x.
5280*x**3
What is the first derivative of -15*q - 186 + 2*q**2 + 0*q**2 - 15*q + 34*q wrt q?
4*q + 4
Suppose 2*s + 22 = s. Let g = s + 24. Differentiate 11*i**4 - 5*i**4 + g + i**4 + 8 with respect to i.
28*i**3
Let q(t) be the first derivative of -t**7/21 - t**5/3 - 17*t**2/2 + 2. Let d(r) be the second derivative of q(r). What is the third derivative of d(z) wrt z?
-240*z
Let s be 2*(-1 - -4) - (4 - 2). What is the second derivative of -s*m**2 + 0*m**2 + 4*m**2 - 18*m - 6*m**3 wrt m?
-36*m
What is the derivative of 134*k**2 - 158 + 164 + 92*k**2 wrt k?
452*k
Let r(a) be the third derivative of 103*a**6/120 - a**4/6 - 2*a**3 - 13*a**2 - 2*a. Find the second derivative of r(h) wrt h.
618*h
Suppose -h + 2*h = 3. Suppose -8 = 2*o + 3*s, 3*o - 3*s - 12 = 6. What is the third derivative of -l**5 - 11*l**o + 4*l**5 + h*l**5 - 11*l**5 wrt l?
-300*l**2
Let x(k) be the second derivative of 331*k**6/30 + 38*k**2 + 636*k. Differentiate x(d) with respect to d.
1324*d**3
Find the third derivative of -3*t**3 - 252*t**2 - 380*t**2 - 491*t**5 + 2*t**3 + t**3 wrt t.
-29460*t**2
Let n = 1 + -3. Let p(j) = -j**3 + 2*j**2 + 3*j + 1. Let t be p(n). What is the first derivative of 72*v - 2 + t - 64*v wrt v?
8
Let r = -350 + 352. Suppose 0 = -5*g - 30 + 180. Find the first derivative of 5 - 55*i**r + 25*i**2 + 8*i**4 + g*i**2 wrt i.
32*i**3
Let v(d) = 5*d**2 + 5. Let y(f) = f**2 - 1. Suppose -23 = -5*o + s + 4, 2*o = 2*s + 6. Let k(x) = o*y(x) - v(x). Find the first derivative of k(m) wrt m.
2*m
Let k(h) be the first derivative of -32*h**5/5 - h**2/2 - 7*h - 16. What is the second derivative of k(y) wrt y?
-384*y**2
What is the third derivative of -3*y**6 + 135*y + 117*y**2 + 5*y**6 - 135*y - 96*y**5 wrt y?
240*y**3 - 5760*y**2
Let f = -273 + 273. Let m(r) be the second derivative of 1/10*r**5 + 0*r**3 - 3*r**2 + f*r**4 + 0 - 7*r. What is the derivative of m(k) wrt k?
6*k**2
Let w(d) = 20*d**3 - 2*d**2 + 2. Let i be w(1). Find the third derivative of -2092*v**3 + i*v**2 + 2139*v**3 - 3*v**2 wrt v.
282
Let h(k) be the third derivative of -k**9/56 + k**8/168 - 7*k**5/6 + 67*k**2 + k. What is the third derivative of h(r) wrt r?
-1080*r**3 + 120*r**2
Differentiate 405*z**4 - 151 + 8 + 4 - 104 + 47 wrt z.
1620*z**3
Let o(d) = 2*d**2 + 7*d - 2. Let c be o(3). Suppose -c = -b + z - 4, z - 63 = -2*b. What is the second derivative of -19*l**3 - 2*l + 3*l + b*l**3 wrt l?
78*l
Let l(z) = 26*z - 49. Let r(b) = 25*b - 50. Let p = -64 + 61. Let v(o) = p*r(o) + 4*l(o). Find