. Let t(p) = p**2 - 6*p - 2. Let y be t(7). Let r(m) = 15*m**2 - 3*m - 166. Let v(q) = y*r(q) + 2*k(q). Differentiate v(d) wrt d.
38*d - 1
Let q(y) = y**3 + 8*y**2 - 2*y + 2. Let k be q(0). What is the derivative of 167*i**3 - 258 - 32*i**k + 73*i**2 - 41*i**2 wrt i?
501*i**2
Suppose 0 = -4*h - 6*h + 200. What is the second derivative of -11 + 31 + 105*p + 12*p**5 - h wrt p?
240*p**3
Let d(l) = -l**3 - 6*l**2 - 4*l + 8. Let g be d(-5). Find the third derivative of -86*a**3 + 164*a**2 - 134*a**g - 71*a**3 + 205*a**3 wrt a.
-516
Find the third derivative of -11*w**5 - 421*w**2 - w**5 - 10*w**6 - 29*w**6 - w**6 wrt w.
-4800*w**3 - 720*w**2
Let g(y) be the second derivative of 45*y + 29/12*y**4 - 6*y**2 - 1/3*y**3 + 0. What is the second derivative of g(k) wrt k?
58
Suppose -17 = -3*f + 4*f + 5*p, 12 = -3*p. What is the third derivative of 13*k**2 + 1288 + 50*k**f - 1288 wrt k?
300
Let q(y) = -2*y**3 - 2*y**2 + 1. Let d(g) = -376*g**3 - g**2 + 366. Let t(r) = d(r) + q(r). What is the third derivative of t(u) wrt u?
-2268
Find the third derivative of -3532*x**2 + 2*x**4 + 15*x**4 - 2*x**5 - 1084*x**2 wrt x.
-120*x**2 + 408*x
Suppose 0 = -25*x + 27*x - 398. What is the third derivative of 2*y - 313*y**3 - 16*y**2 + x*y**3 + 166*y**3 wrt y?
312
Find the third derivative of -80149 - 23*y**2 + 80232 + 13*y**2 + 2046*y**4 wrt y.
49104*y
Let b(f) be the first derivative of 2497*f**6/6 - 9*f**2 - 17*f - 4561. What is the second derivative of b(g) wrt g?
49940*g**3
Let s(m) = 10610*m + 11908. Let o(d) = 5309*d + 5957. Let y(a) = 11*o(a) - 6*s(a). Differentiate y(k) wrt k.
-5261
Let k(g) = -14*g**3 - 74*g**2 - 5323*g - 3. Let p(t) = -28*t**3 - 134*t**2 - 10647*t - 5. Let h(r) = -5*k(r) + 3*p(r). Find the second derivative of h(l) wrt l.
-84*l - 64
Let n = 93 + -88. What is the third derivative of t**2 - 111 + 6*t**5 - 69*t**n + 136 wrt t?
-3780*t**2
Let n(j) = 37*j + 105. Let s = 44 + -49. Let b(c) = 18*c + 53. Let m(g) = s*b(g) + 3*n(g). Find the first derivative of m(i) wrt i.
21
Find the third derivative of 37887*w**2 + w - 37878*w**2 + 406*w**5 + 396*w**5 wrt w.
48120*w**2
Let l(k) = 13. Let v(u) = -u + 12. Let i(m) = -4*l(m) + 3*v(m). Let a be i(-6). What is the third derivative of -20*g**3 + g**2 - 12*g**2 - 18*g**a wrt g?
-120
Let a(g) = -g**2 + g + 2. Let b(p) = 684*p**2 + 187*p + 12. Let w(f) = 6*a(f) - b(f). What is the second derivative of w(i) wrt i?
-1380
Let k(p) = -26*p - 42. Let i be k(-2). Let t = 11 + -8. What is the third derivative of m**3 - 6*m**t + i*m**2 - 9*m**2 wrt m?
-30
Let v(g) = 1723*g - 1947. Let b(s) = -1689*s + 1948. Let d(n) = 2*b(n) + 3*v(n). Differentiate d(m) wrt m.
1791
Let u(m) = -19*m**3 + 6*m**2 + 2*m + 11. Let c(o) = 93*o - 52*o + o**2 - 40*o + 3 - 2. Let n(h) = 2*c(h) - u(h). Find the third derivative of n(r) wrt r.
114
Let j(r) be the third derivative of -79*r**6/4 + r**5/60 - 2177*r**3/6 - 3434*r**2. Differentiate j(g) wrt g.
-7110*g**2 + 2*g
Let d(q) be the third derivative of -2827*q**4/12 - 5941*q**3/6 - 4885*q**2. Find the first derivative of d(z) wrt z.
-5654
Let m(z) be the third derivative of 1169*z**6/120 + 136*z**5/5 + 2075*z**2. Find the third derivative of m(t) wrt t.
7014
What is the derivative of 935 + 376 + 1972*u**4 - 309 + 2*u**2 - 2201*u**4 wrt u?
-916*u**3 + 4*u
Let m(u) = 22*u**2 + 0*u - 13*u + 4 + 8*u. Let b(l) = -24*l**2 + 6*l - 3. Let j(q) = 6*b(q) + 7*m(q). What is the second derivative of j(c) wrt c?
20
Find the second derivative of 21242*q + 22122*q - 42467*q - 153*q**3 wrt q.
-918*q
Find the third derivative of -2*a**2 - 7256*a**6 + 2214*a - 53029409*a**5 + 1 + 53029409*a**5 wrt a.
-870720*a**3
Suppose 5*m - 26 = u, -2*m - u = 3*u - 6. Find the first derivative of 4*g - m + 0*g + 40 - 25*g wrt g.
-21
Let c(p) = 1018*p**3 + 15*p**2 + 5*p + 1557. Let s(r) = -1019*r**3 - 18*r**2 - 6*r - 1559. Let g(z) = 6*c(z) + 5*s(z). What is the derivative of g(v) wrt v?
3039*v**2
Let n = -81 + 88. What is the third derivative of 3*y**5 - 408 + 408 - 2*y**6 + 50*y**2 - n*y**5 wrt y?
-240*y**3 - 240*y**2
What is the second derivative of 125*u**2 + u**4 - 212*u - 2850 - 71*u + 2851 wrt u?
12*u**2 + 250
Let y(s) = 633*s**3 - 7*s**2 - 27*s - 89. Let f(u) = -316*u**3 + 4*u**2 + 11*u + 46. Let l(v) = 5*f(v) + 3*y(v). What is the second derivative of l(n) wrt n?
1914*n - 2
Let d(f) = -8*f + 122. Let c be d(15). What is the second derivative of 76*a + 482*a**2 - 238*a**2 - 244*a**c + 86*a**3 wrt a?
516*a
Let p(n) = 3*n. Let r(i) = 7*i - 74. Let y be (-1 + 3)*(-4 + -8 + 11). Let a(z) = y*r(z) + 4*p(z). Find the first derivative of a(g) wrt g.
-2
Let i = -304 + 305. Differentiate 1 - 5 + 36 + i - 18*q wrt q.
-18
Let i(b) be the first derivative of -2449*b**4/2 - 920*b + 220. Differentiate i(v) wrt v.
-14694*v**2
Let u(j) be the first derivative of 216*j**4 + 3416*j**3/3 + 2. What is the third derivative of u(d) wrt d?
5184
Let s = 65 - -41. What is the first derivative of 121 + s*u - 537*u + 306*u wrt u?
-125
What is the third derivative of -10557*m**2 + 972 - 972 + 6479*m**3 - 4542*m**2 + 2766*m**2 wrt m?
38874
Let t(a) = 21*a + 490. Let d be t(-23). Let r be (6/4)/((-1)/(-8)). Find the second derivative of d*l - l - l + l**2 + r*l wrt l.
2
Let o(x) = 2*x**3 - 4*x**2 + 4*x - 5. Let f be o(2). Suppose 0*r = r - f*h - 5, -4*r + 5*h = -48. Find the first derivative of -5 - r - 4 - 6 - 18*i wrt i.
-18
Let k(a) be the second derivative of 0*a**3 + 0 + 67/6*a**4 + 0*a**2 - 97*a + 21/10*a**5. What is the third derivative of k(d) wrt d?
252
Let i = -33 - -35. What is the first derivative of -69 + k**3 + k**3 + 6*k**i - 20*k**2 - 13*k**2 wrt k?
6*k**2 - 54*k
Let c(w) be the second derivative of -29*w**5/5 - w**4/3 + 25*w**2 + 4*w + 14. Find the third derivative of c(u) wrt u.
-696
Suppose 30 = -3*g - 42. Let a be g/(-120) - (-18)/10. What is the third derivative of 9*s**2 - 14*s**2 + 7*s**6 - 11*s**a + 10*s**6 wrt s?
2040*s**3
Suppose -2*g = -246 + 242. Find the second derivative of 39*m**2 - 3*m**2 + 29*m**g - 60*m wrt m.
130
Let b be (-3)/((9/80)/(-3)). Suppose -4*o + 152 - b = 0. Find the first derivative of -6 + o*m**2 - 7*m**2 + 3 wrt m.
22*m
Let q(m) = -616*m**3 - 8845*m**2 + 2*m - 4. Let u(s) = -618*s**3 - 8840*s**2 + 3*s - 6. Let f(i) = 3*q(i) - 2*u(i). What is the third derivative of f(l) wrt l?
-3672
Let h(z) = 3368*z - 1578. Let j(t) = -3380*t + 1577. Let x(k) = 7*h(k) + 6*j(k). Differentiate x(q) wrt q.
3296
Let n(i) be the first derivative of i**3/3 - 2*i**2 + 6*i - 1. Let b be n(2). Find the third derivative of 64*c**5 - 84*c**5 + 6*c**b + 7*c**2 wrt c.
-1200*c**2
Suppose o = -o + 3*m + 12, 10 = -5*m. Suppose -2*h = -9 + o. What is the second derivative of -60*p**3 + 102*p**3 + 5*p + 31*p - 56*p**h wrt p?
-84*p
Let l(g) be the second derivative of 141*g**7/14 - g**6/15 + 401*g**3/6 - g**2 + 979*g. Find the second derivative of l(n) wrt n.
8460*n**3 - 24*n**2
What is the third derivative of 0*f + 0*f - 1678 - f**2 + 904*f**5 - 3953*f**5 - 1394*f**5 wrt f?
-266580*f**2
Let o = -28 + 148. Let l = -95 + o. What is the second derivative of -13*t - 52*t**4 - l*t**2 + 48*t**2 - 23*t**2 wrt t?
-624*t**2
Let m(b) = 7*b - 205. Let o be m(31). What is the third derivative of 60*c**4 + 57*c**4 + o + 3*c**2 - 120*c**4 + 28*c**3 wrt c?
-72*c + 168
Let m(o) be the third derivative of 425*o**6/24 + 283*o**5/12 - 306*o**2 - 2. What is the third derivative of m(b) wrt b?
12750
Suppose n = -3*q + 198, -n = 4*n + 4*q - 1001. Find the third derivative of 130*f - f**2 + 3*f**2 + n*f**3 - 107*f wrt f.
1206
Let b = 13 + 54. Find the second derivative of -5*i - b*i**4 - 60*i + 18*i wrt i.
-804*i**2
Let a be (2 - (11 - 7)) + 4 + 4. Suppose l + 5*z = 6*l - 5, 4 = -2*l + 4*z. Differentiate a + 0 - 6*n**4 - 8*n**l - 3*n**4 wrt n.
-68*n**3
Find the second derivative of -3522*y**3 + 3814*y + 4028*y - 5815*y**3 - 1736*y**3 wrt y.
-66438*y
Suppose 54 = 175*d - 169*d. Differentiate 0 + d + 45*b - 61 wrt b.
45
Find the second derivative of 3*g - 2167*g**3 - 12*g + 10*g + 89*g**3 - 2426 wrt g.
-12468*g
Let g(d) = 2*d**3 - 10*d**2 + 418 - 374 - 6*d**2 + 3*d**2. Let j(h) = 2*h**3 - 14*h**2 + 46. Let t(n) = -2*g(n) + 3*j(n). Differentiate t(x) with respect to x.
6*x**2 - 32*x
Let g(t) = -t**2 - 8*t. Let r be g(-8). Suppose -2*h + r*l - l + 8 