 - 6*j**3 + 1619 wrt j?
135*j**2 - 22*j
Differentiate 89 - 601 - 828*j - 1744 - 739*j - 2528*j with respect to j.
-4095
Let y(p) be the second derivative of -17/12*p**4 + 3/2*p**3 + 2*p - 2*p**2 + 33 - 1/5*p**5. Find the second derivative of y(k) wrt k.
-24*k - 34
Suppose -306*q = -1239 + 321. Let r(g) be the second derivative of 0 + q*g**3 - 45*g + 0*g**2 - 31/12*g**4. Find the second derivative of r(s) wrt s.
-62
Let w be (-6 - -3)/(4/(-312)). Differentiate 94 + 41 - w*x**4 - 2*x + 19 + 2*x wrt x.
-936*x**3
Let w(k) be the first derivative of -65/2*k**2 + 160 - 145*k. Find the first derivative of w(q) wrt q.
-65
Let h = 79 - -46. Find the second derivative of v**2 + h*v**3 + 53*v**3 + 8*v - 6 - v**2 wrt v.
1068*v
Let h(o) = 10*o**2 - 300*o + 1777. Let q(a) = -7*a**2 + 297*a - 1778. Let j(g) = 3*h(g) + 4*q(g). What is the derivative of j(r) wrt r?
4*r + 288
Let q(f) be the first derivative of -263 - 213*f - 3*f**3 - 1/2*f**2. Differentiate q(v) wrt v.
-18*v - 1
What is the second derivative of -4589*r**2 - 12*r - 5325*r**2 - 2097*r**2 + 289 + 50 wrt r?
-24022
Suppose -133*j + 35 = -231. Let n(v) be the first derivative of 10 + 2*v + 25/2*v**j. Differentiate n(s) with respect to s.
25
Let o(t) = 33*t + 268. Let n(w) = -15*w - 134. Let s(z) = 5*n(z) + 2*o(z). Let d(m) = m + 1. Let f(i) = -5*d(i) + s(i). What is the derivative of f(p) wrt p?
-14
Suppose 2*n + 2 = 0, -3*d = 2*d + 2*n + 2. Let c(x) = -x - 4. Let k be c(-6). Find the first derivative of d - 27*t + 10 + 12*t**k + 27*t wrt t.
24*t
Let a(m) be the second derivative of 1/3*m**3 + 73/2*m**2 + 40*m + 7/4*m**5 + 0 + 0*m**4. What is the second derivative of a(s) wrt s?
210*s
Let m(s) = 746*s**3 + 6156*s**2 + 91*s. Let d(f) = 372*f**3 + 3077*f**2 + 52*f. Let y(p) = 7*d(p) - 4*m(p). What is the third derivative of y(q) wrt q?
-2280
Let z(c) = -c**3 - 57*c**2 - 163*c - 51. Let y be z(-54). Find the third derivative of 207*j**3 + 13*j - 8*j**2 - y*j**2 - j**2 + 15*j**2 wrt j.
1242
Find the second derivative of 18819*g**2 + 951*g + 18986*g**2 + 1 + g**3 - 37929*g**2 wrt g.
6*g - 248
Let v(t) be the first derivative of -8593*t**3/3 + 6036*t**2 - 9193. Find the second derivative of v(k) wrt k.
-17186
Suppose 6*i = 2*i. Suppose 5*t - 12 = k + k, i = -5*t + 5*k. What is the first derivative of -17*a**2 + 2 - 534*a + 534*a + t wrt a?
-34*a
Suppose 69 = 6*g + 3. What is the third derivative of 9*o**3 - 15*o**3 + 86*o**2 + g*o**3 wrt o?
30
Suppose 12 = 21*y - 17*y. What is the third derivative of r**4 + 5 + 13*r**3 - 24*r**3 + 8*r**3 - y*r**2 wrt r?
24*r - 18
Let b(x) = 4*x - 46. Let c be b(13). What is the third derivative of 14*n**5 - 3*n**6 + 2*n**6 - n**c - 35*n**2 wrt n?
-240*n**3 + 840*n**2
What is the third derivative of -11*s**3 + 68*s**6 - 934*s**5 - 21*s**2 + 5*s**3 + 7 + 468*s**5 + 466*s**5 wrt s?
8160*s**3 - 36
Let i(c) = 17 + 70*c**2 + 26*c**2 + 4*c - 33 + 15. Let o(g) = 286*g**2 + 13*g - 4. Let r(y) = 7*i(y) - 2*o(y). Find the second derivative of r(u) wrt u.
200
What is the first derivative of 516*r + 575*r + 123 + 613 + 1738*r + 2580*r wrt r?
5409
Let a(l) = -2*l**2 + 870*l - 1077. Let w(k) = k**2 + 54*k. Let v(p) = a(p) + 6*w(p). What is the first derivative of v(y) wrt y?
8*y + 1194
Let r = 666 + -664. Let u(n) = -5*n**2 + 5*n + n - 10 - 4*n. Let x(d) = d**2 - d + 1. Let i(v) = r*x(v) + u(v). Differentiate i(f) wrt f.
-6*f
Let i(p) be the second derivative of -24*p**6 - 1437*p**2 - 5*p - 44. Differentiate i(f) with respect to f.
-2880*f**3
Let o(a) = 1303*a + 267. Let w(j) = -3910*j - 805. Let v(p) = -8*o(p) - 3*w(p). What is the first derivative of v(c) wrt c?
1306
Suppose -3*l = -7*l + 12. Suppose -3*g + 54 = -r, -4*g - 419*r + 421*r = -76. What is the second derivative of 55*y**3 - g*y - 89*y**l - 22*y wrt y?
-204*y
What is the second derivative of 1 - 40786*v**2 - 267*v - 271*v + 38661*v**2 wrt v?
-4250
Suppose 0 = 8*z + 472 - 1600. Let d = -65 + z. What is the third derivative of 21*r**2 + d - 76 - 17*r**4 wrt r?
-408*r
What is the third derivative of -3690*b**5 + 1982*b**5 + b**4 - b**4 + 1064*b**2 + 544*b**2 wrt b?
-102480*b**2
Find the third derivative of -16*x - 8*x - 4*x**3 + 90*x**2 + 24*x - 225*x**4 + 497*x**2 wrt x.
-5400*x - 24
Let g(d) = d**2 - d - 2. Let u(y) = 496*y**2 - 1536*y + 32. Let w(t) = 16*g(t) + u(t). Find the second derivative of w(c) wrt c.
1024
Differentiate 10*r + 2512 - 805 + 11*r - 2*r - 667 wrt r.
19
Suppose r = 4*i + 20, -3*r - 2*i - 10 = -0. Find the second derivative of r*w**2 - 2*w - 2*w**2 - 6*w**3 + 2*w**2 + 2*w**2 + 6 + 17*w**3 wrt w.
66*w + 4
Suppose -8 = 4*x - 3*u - 94, x - 2*u = 19. What is the second derivative of 7*z - 32*z - 6*z**2 + x*z**2 - 24*z wrt z?
34
Let y(t) be the second derivative of 9397*t**5/20 + 853*t**3 + 715*t - 1. What is the second derivative of y(u) wrt u?
56382*u
Let d(q) = -5686*q**2 - 4088*q - 8. Let m(z) = -1895*z**2 - 1363*z - 3. Let h(t) = -3*d(t) + 8*m(t). Find the second derivative of h(n) wrt n.
3796
Let j(w) be the third derivative of 1483*w**5/30 - 65*w**4/24 - w**3/6 - 80*w**2 - 36. Find the second derivative of j(y) wrt y.
5932
Let k be (6/(-6))/((-2)/6). Suppose 2*w - 3*c - c = 4, 17 = k*w + 5*c. What is the second derivative of -w*x + x - 15*x + 8*x**3 wrt x?
48*x
Suppose -74 = -3*u - 2*y, -4*y = 4*u - 7*y - 127. Differentiate u + 52 - 29*r**3 + 34*r**3 + 9*r**4 wrt r.
36*r**3 + 15*r**2
Let s(z) be the third derivative of -389*z**6/120 - z**5/60 + 175*z**4/8 - 34*z**2 + 3. Find the second derivative of s(r) wrt r.
-2334*r - 2
Let a(j) = 4*j - 44. Let h be a(12). What is the second derivative of 40*s - 28*s**4 + 9*s**h - 12*s**4 + s**5 + 4*s**4 wrt s?
20*s**3 - 324*s**2
Let k(f) = -f**3 + 38*f**2 - 35*f + 17. Let z be k(35). What is the second derivative of 21*l**3 - 8*l - 2465*l**4 - 7*l + z*l**4 wrt l?
24*l**2 + 126*l
Let q(w) be the second derivative of -9*w**5/2 - w**3/6 - 1739*w**2 - 141*w + 7. What is the first derivative of q(b) wrt b?
-270*b**2 - 1
Let q be (4 + -50)*(26/(-4) - -1). Let d be 11431/q - 4/22. What is the first derivative of 3 + 6*f**2 - f**2 + 2 + d*f**2 wrt f?
100*f
Find the second derivative of 9271*z**2 - 8 - 6*z - 8336*z**2 + 71 wrt z.
1870
Suppose -16 = -49*k + 45*k, -t - 1 = -k. What is the first derivative of -40 - 7*z**t + z**3 + 4*z**3 + 58 + 23*z**4 + 48 wrt z?
92*z**3 - 6*z**2
Let l(o) be the third derivative of o**7/210 - 311*o**5/30 + 188*o**3/3 + 863*o**2 + 2*o. Differentiate l(r) wrt r.
4*r**3 - 1244*r
Let h(g) be the second derivative of -2011*g**6/15 - 35*g**3 - 5*g**2 - 7271*g. What is the second derivative of h(w) wrt w?
-48264*w**2
Let w(q) be the first derivative of 1098*q**5/5 + 3266*q + 3009. Differentiate w(x) wrt x.
4392*x**3
Let t(y) = -y**3 - y - 4 - 6 - 15*y**2 + 2 - 5. Let r be t(-15). What is the third derivative of -d**2 + r*d**3 + d**2 - 20*d**2 - 3*d**3 wrt d?
-6
Suppose -3*n + 5*c + 1207 + 1450 = 0, -4421 = -5*n + c. Suppose -4*x = 0, 4*w - 2*x + 3*x = n. What is the derivative of 221*q**3 - w*q**3 + 8 + 4*q**4 wrt q?
16*q**3
What is the third derivative of -39026*c - 1517*c**2 - 267*c**2 + 39026*c - 9112*c**6 wrt c?
-1093440*c**3
Let p(c) be the second derivative of -417*c**5/20 + 78*c**4 - c**3/3 + 11*c + 15. What is the third derivative of p(m) wrt m?
-2502
Find the second derivative of 690*h**2 + 78*h**2 + 33*h + 57*h**2 - 41*h**2 + 3 wrt h.
1568
Let n(a) be the second derivative of -a**4/6 - 115*a**3/2 + 345*a**2 + 847*a. Find the first derivative of n(m) wrt m.
-4*m - 345
Let w(a) be the second derivative of -333*a**5/20 - 4333*a**4/12 + 7*a - 307. What is the third derivative of w(t) wrt t?
-1998
Let l(s) be the third derivative of -1091*s**7/210 + s**6/30 - s**5/30 + 31*s**4/8 - s**3/3 + 14*s**2 + 2*s - 55. Find the third derivative of l(t) wrt t.
-26184*t + 24
Suppose 2*w + 8 = 0, -2*w = -4*p + 2*w + 56. Suppose -7*x + 4 = -p. What is the third derivative of -4*s**2 + 4*s**x - 6*s**2 - 6*s**2 + 24*s**5 wrt s?
1440*s**2
Find the third derivative of -40 + 134*g**4 - 60*g**2 + 33 + 833*g**4 + 16*g**4 wrt g.
23592*g
Let d(q) = 142*q - 116. Let k(i) be the second derivative of -i**3/6 + i**2/2 - 3*i - 8. Let l(f) = d(f) + 4*k(f). What is the derivative of l(x) wrt x?
138
Suppose -f - 6 = 2*j, 0 = -f + 3*j + 1 + 13. Differentiate -48 - 206*i**