a(w) + 7*f(w). Differentiate m(i) with respect to i.
7
What is the first derivative of 7378*v**2 + 2108 - 15780*v**2 + 7927*v**2 - 3*v wrt v?
-950*v - 3
Let z(k) = -6415*k - 159. Let w(i) = -6410*i - 157. Let s(y) = -6*w(y) + 7*z(y). What is the derivative of s(v) wrt v?
-6445
Let y(k) be the second derivative of 0*k**4 + 1/2*k**3 + 0 + 0*k**5 - 14*k**2 + 13/3*k**6 - 102*k. What is the second derivative of y(h) wrt h?
1560*h**2
Suppose 11*g - 637 + 219 = 0. Suppose -5 = -5*a, 44 = 3*p + 4*a - g. Find the third derivative of -p*s**3 + 11*s**2 + 595*s - 595*s + 39*s**2 wrt s.
-156
Suppose 3*b + 4*o = 8 + 4, 5*b + 2*o - 20 = 0. What is the third derivative of -23*d**2 - 31*d**2 - d**b + 7*d**5 + 3*d**4 - 10*d**2 wrt d?
420*d**2 + 48*d
Let r(y) = -6*y**2 + 1. Let x(a) = 295*a**2 + 340. Let m(n) = -35*r(n) - 5*x(n). Find the first derivative of m(q) wrt q.
-2530*q
Let f(g) be the first derivative of 260 + 298/3*g**3 + 48*g**2 - g. What is the second derivative of f(x) wrt x?
596
Suppose -24 = -5*p - 2*o + o, -24 = -4*p - 2*o. What is the third derivative of -6*m**2 - m + 67*m**5 - m + p*m**2 - 11*m**2 wrt m?
4020*m**2
Suppose 10*l = 30*l - 40. Find the third derivative of -12444*a**5 + l*a + 12333*a**5 + 95*a**2 - 2*a wrt a.
-6660*a**2
Let p(g) = 14711*g - 24586. Let k(o) = 9826*o - 16390. Let n(u) = 8*k(u) - 5*p(u). What is the first derivative of n(z) wrt z?
5053
Suppose -5*b - 20 = 0, -w - 4 = 2*b - 0*b. Find the third derivative of -2*z**4 + 108*z**2 - 7*z**5 - 2*z**w + z**5 + 13*z**4 wrt z.
-360*z**2 + 216*z
Let m(a) be the second derivative of -11741*a**6/30 + a**3/3 + 2115*a**2/2 - 54*a - 35. Find the second derivative of m(y) wrt y.
-140892*y**2
Let l(i) = -542*i + 368. Let q(s) = 2*s + 1. Let y(m) = l(m) + 3*q(m). What is the derivative of y(c) wrt c?
-536
Find the first derivative of -34*h**3 - 3*h**3 - 5*h + 0*h**2 + 1055 - 135 + 2*h**2 + 333 wrt h.
-111*h**2 + 4*h - 5
Differentiate -943 - 3 - 13*m - 11*m - 3*m + 57*m**3 + 18*m with respect to m.
171*m**2 - 9
Suppose 0 = -3*w + x + 10, 4*w - 13 = w + 4*x. Let q be ((-160)/280)/(2/(-7)). What is the third derivative of 26*z**q + 142*z**w + z**5 - 142*z**3 wrt z?
60*z**2
What is the derivative of -459*y**2 - 1445 - 2270 - 260*y**2 + 9163 + 6928 wrt y?
-1438*y
Suppose 4*p - 34 + 222 = 4*h, -5*h - p = -253. Find the second derivative of -h*b**2 - 232 + 12*b + 123 - 2*b**4 + 107 wrt b.
-24*b**2 - 100
Let a(j) be the third derivative of 1/3*j**5 + 0*j**4 - 34*j**2 + 0*j + 1/120*j**6 - 15/2*j**3 + 0. Find the first derivative of a(b) wrt b.
3*b**2 + 40*b
Find the second derivative of -12 + 12 - 621*b - 809*b**3 - 1751*b**3 wrt b.
-15360*b
Find the second derivative of 3197*p**2 - 4017*p**2 - 3546*p**2 - 6282*p wrt p.
-8732
Let p(d) be the first derivative of 11 + 97*d - 1/2*d**2 + 0*d**3 - 7/2*d**4. Differentiate p(f) with respect to f.
-42*f**2 - 1
Suppose 0 = 7*q - 3*q - 20. Suppose 21 - 16 = q*p. Differentiate p + 5 + 4*t + t - 3*t wrt t.
2
Let k(b) = b**2 - b - 15. Let v be k(-4). Suppose 0*s = v*s - 110. Differentiate -163*a**4 + s + 135*a**4 - 4 wrt a.
-112*a**3
Let q(u) be the third derivative of -2279*u**6/120 - 11*u**5/15 - 2384*u**2. Find the third derivative of q(m) wrt m.
-13674
Suppose 3*p - 87 = -2*x, -5 = 2*p + 1. What is the second derivative of 86*i**3 - x*i**3 + 2*i**2 - 3*i**2 - 12*i - 44*i**3 wrt i?
-36*i - 2
Let q(v) = -688*v**3 - 7*v**2 + 8*v - 7. Let i(x) = -686*x**3 - 6*x**2 + 7*x - 10. Let w(o) = 7*i(o) - 6*q(o). What is the second derivative of w(l) wrt l?
-4044*l
Let v(y) = -y**3 - 15*y**2 + y + 18. Let t be v(-15). What is the first derivative of 2*b + 46*b**3 + 0*b - 17 - 118 - 52*b**t wrt b?
-18*b**2 + 2
Let d(o) be the second derivative of -1/3*o**3 - 2/5*o**5 + 0*o**4 - 4*o**2 - 58*o + 0. What is the first derivative of d(h) wrt h?
-24*h**2 - 2
Let u(h) be the second derivative of -751*h**5/20 + 109*h**4/12 + 5*h**3/6 - 11*h - 8. What is the third derivative of u(q) wrt q?
-4506
What is the first derivative of 14550 - 32081 + 14079 + 2239*x wrt x?
2239
Let a(g) be the second derivative of 537*g**5/20 - 90*g**4 - 109*g. Find the third derivative of a(j) wrt j.
3222
Let k(x) = 17003*x**2 - 44404*x - 40. Let i(m) = -11336*m**2 + 29604*m + 25. Let s(a) = 8*i(a) + 5*k(a). Find the second derivative of s(p) wrt p.
-11346
Let j(s) = 154*s + 4. Let y be j(1). Suppose 38 + y = 4*t. What is the second derivative of -51*n - t*n + 29*n**5 + 75*n wrt n?
580*n**3
Suppose 3*k = 2*b + 6, -2*k + 14 = 21*b - 19*b. What is the third derivative of -2 - 225*u + 225*u - 38*u**b + 52*u**2 wrt u?
-228
Let p = -85 + 53. Let t = -29 - p. Find the second derivative of -162*u**2 + 5*u**t + 162*u**2 + 11*u wrt u.
30*u
Let r(n) be the first derivative of -24/5*n**5 + 0*n**4 + n**2 + 0*n**3 + 1/6*n**6 + 22*n + 171. What is the second derivative of r(y) wrt y?
20*y**3 - 288*y**2
Let r(d) be the third derivative of 199*d**7/210 - d**6/120 + 27*d**5 - 984*d**2. Find the third derivative of r(f) wrt f.
4776*f - 6
Let p(h) = 3*h**2 - 4*h + 29. Let k be p(-12). Let b = 739 - k. Differentiate -2*y**4 + 231 + y**4 - 5*y**2 - b wrt y.
-4*y**3 - 10*y
Let t(y) = 6686*y**2 + 5*y - 915. Let z(r) = 220636*r**2 + 164*r - 30196. Let p(u) = 328*t(u) - 10*z(u). Find the first derivative of p(a) wrt a.
-26704*a
What is the second derivative of v - 29*v**4 + 928*v**2 + 324 - 920*v**2 + 538 + 2*v wrt v?
-348*v**2 + 16
Let g(n) be the second derivative of 198*n**4 + 2777*n**3/6 + 13*n - 28. What is the second derivative of g(h) wrt h?
4752
Let d(m) be the third derivative of -15*m**2 + 0 + 79/24*m**4 - 2*m - 37/6*m**3. What is the derivative of d(z) wrt z?
79
Let v(j) = 11*j - 24. Let y be v(4). Suppose 0 = 8*g - 4 - y. What is the second derivative of -12*r**4 - 25*r + 189*r**g + 3*r - 189*r**3 wrt r?
-144*r**2
Let f(c) be the second derivative of -c**6/10 + 33*c**5/4 + 47*c**3/2 - 3*c**2/2 - 3275*c. What is the second derivative of f(x) wrt x?
-36*x**2 + 990*x
Find the first derivative of -4*m + 21*m**3 - 38*m**3 - 2108 + 20*m**3 + 45*m + 77*m wrt m.
9*m**2 + 118
Suppose 4*s + 20 = 0, -4*s = -a + 52 - 18. Suppose 5*m + y = a, 0*y = 4*y + 4. What is the second derivative of -11*v - 17*v**m - 30*v**2 + 30*v**2 wrt v?
-102*v
Suppose -6 = -5*k - k. Let o(c) = k - 3 - 4 + 1 + 8*c. Let i(y) = -16*y + 9. Let j(b) = -4*i(b) - 7*o(b). Find the first derivative of j(g) wrt g.
8
What is the derivative of n**2 - 984*n**3 + 2563 + 266*n**3 - 445*n**3 wrt n?
-3489*n**2 + 2*n
What is the second derivative of 1215 - 523*i + 284*i**2 - 2274 + 1062 wrt i?
568
Let z(h) = 52*h**3 + 116*h**2 - 2. Suppose 9*a - 8 = -17. Let t(x) = -x**3 + x**2 - x - 2. Let c(n) = a*t(n) + z(n). Find the third derivative of c(m) wrt m.
318
Let m(b) be the second derivative of -7*b**6/15 - b**5/20 + 23*b**3/6 - 5913*b**2 + 28*b - 21. What is the first derivative of m(z) wrt z?
-56*z**3 - 3*z**2 + 23
Suppose 3*z - 330303 = 4*s, -2*s - 375787 - 64607 = -4*z. What is the derivative of -z*w - 2*w**2 + 3*w**2 + 113 + 110089*w wrt w?
2*w - 8
Let y(z) be the second derivative of -1489*z**6/30 + 136*z**2 + 149*z - 1. What is the derivative of y(d) wrt d?
-5956*d**3
Let o(x) = x**2 + x - 8. Let h be o(3). What is the third derivative of -56 - 5*w**2 + 25 + 31 - 71*w**3 + h*w wrt w?
-426
Let x = -27 + 29. Let q be (39 - 5)*x/4. What is the derivative of 9 - 7 + q + 26*p**4 + 0*p**4 wrt p?
104*p**3
What is the third derivative of -15767*s**3 + 31537*s**3 - 85*s**6 - 688*s**6 - 15770*s**3 - 5945*s**2 wrt s?
-92760*s**3
Differentiate -5780 + 887 + 929*p - 974*p + 1703*p + 1061*p with respect to p.
2719
Let k be -20*8/(-32) + 7 + 1. What is the first derivative of 142 - 74 + 111 + 62 + 40*t + k*t wrt t?
53
Let k(x) = 1837*x**2 - 15*x + 199. Let o(b) = -919*b**2 + 8*b - 109. Let d(z) = 6*k(z) + 11*o(z). Find the second derivative of d(i) wrt i.
1826
Let c = -2 - -4. Let j be 9*(1/2 - 6/(-12)). Differentiate -8*l**3 + 13 - 2*l**c - 7*l**2 + j*l**2 with respect to l.
-24*l**2
Let n be ((-15)/(-10) - 3)*-122. Find the second derivative of 85*o**2 - n*o**2 - o**5 + 95*o**2 - 91*o wrt o.
-20*o**3 - 6
Let h(v) = -4*v**3 - 5*v**2 - 1. Let w(o) = 2216*o**3 - 15*o**2 + o + 4481. Let l(g) = -3*h(g) + w(g). What is the first derivative of l(r) wrt r?
6684*r**2 + 1
Find the 