3210. Let h(s) = s**4 + 2*s**3 + s**2 + 1. Let b(q) = -18*h(q) + v(q). Find the first derivative of b(y) wrt y.
-6588*y**3
Let h(w) = 265*w**3 + 9*w**2 - 2*w + 3499. Let s(i) = 133*i**3 + 4*i**2 - i + 1747. Let j(l) = 4*h(l) - 9*s(l). What is the derivative of j(f) wrt f?
-411*f**2 + 1
Let x(h) = 52 - 29*h**2 + 16 - 6 - 28*h**2 + 8*h - 3*h. Let n(k) = -k**2 - k - 3. Let z(j) = 6*n(j) + x(j). Differentiate z(b) with respect to b.
-126*b - 1
Let q(f) be the third derivative of 7*f**9/24 + f**6/120 - 7*f**5/60 + 65*f**3/6 + 153*f**2. Find the third derivative of q(d) wrt d.
17640*d**3 + 6
Suppose 29 - 5 = 6*z. Suppose -z*c + 3*w + 4 + 51 = 0, -4*c + w + 45 = 0. Find the third derivative of -m**5 - 54*m**3 + c*m**2 + 54*m**3 + 0*m**2 wrt m.
-60*m**2
Let u be 147 - ((-518)/126 + (-1)/(-9)). Find the first derivative of 184*x - 165 + 77 - u wrt x.
184
Let i(s) = 4*s**2 + 15*s + 16. Let w be i(-1). Let b = 16 - 10. What is the third derivative of -w*y**2 + 18*y**b + 8*y**2 - 7*y + 7*y wrt y?
2160*y**3
Suppose -51*g - 2294 = -6527. Differentiate 123500*b - 155 - 123500*b + g*b**4 wrt b.
332*b**3
Let w(z) = 152*z - 132. Let j(d) = -46 - 147*d + 179 + 18*d - 22*d. Let h(m) = -5*j(m) - 4*w(m). What is the derivative of h(k) wrt k?
147
Let c(t) be the second derivative of 65*t - 79/30*t**6 + 65/2*t**2 + 1/6*t**3 + 0*t**4 + 0*t**5 + 0. Find the second derivative of c(u) wrt u.
-948*u**2
Let s(k) be the second derivative of -1193*k**7/42 - k**5/10 + k**4/12 - 650*k**3/3 + k**2/2 - 2220*k. Find the third derivative of s(l) wrt l.
-71580*l**2 - 12
What is the third derivative of 3*p + 5*p**5 - 61*p**4 - 52437729*p**3 - 45*p**2 + 52437729*p**3 wrt p?
300*p**2 - 1464*p
What is the second derivative of 71*r**5 - 931*r**5 - 27212 + 26740 + r wrt r?
-17200*r**3
Let v(g) be the third derivative of 0 + 0*g - 11/15*g**5 + 7/8*g**6 + 1/12*g**4 - 29*g**2 + 0*g**3. What is the third derivative of v(w) wrt w?
630
Suppose 50 + 18 = 4*j + 4*p, -63 = -4*j + p. What is the first derivative of 77*y**4 - 32 + 5 + 2 - j wrt y?
308*y**3
Let r = -153 - -179. What is the third derivative of 5*z**2 + r*z**3 - 2*z + 5*z + 4*z wrt z?
156
Let i(x) = -2*x**4 - 41*x**3 - 676*x + 24. Let o(c) = c**4 + 21*c**3 + 338*c - 11. Let h(f) = -6*i(f) - 13*o(f). What is the second derivative of h(t) wrt t?
-12*t**2 - 162*t
Let a(v) = -10328*v + 13331. Let y(m) = -10327*m + 13328. Let n(k) = -4*a(k) + 3*y(k). Differentiate n(o) wrt o.
10331
What is the derivative of 6*r + 533 - 6*r**4 + r**4 + 2*r**4 - 14 wrt r?
-12*r**3 + 6
What is the second derivative of -198*z**2 + 44*z**5 + 191*z**2 - 1787*z + 2812*z wrt z?
880*z**3 - 14
What is the first derivative of 22464*d**2 + 9819*d + 22464*d**2 + 10898 - 44927*d**2 wrt d?
2*d + 9819
Let z = 7324 + -7324. Let g(y) be the first derivative of 0*y + y**2 + z*y**3 + 9/4*y**4 + 18. Find the second derivative of g(l) wrt l.
54*l
Let z(p) = -17*p - 277. Let x be z(-27). Find the first derivative of 57 - 225*w + 183*w + x wrt w.
-42
Suppose 3*u - 124 = -0*j - 5*j, 2*j = 3*u - 110. Differentiate u*l**3 + 4 + 98 + 13*l**3 - 25 + l**2 with respect to l.
153*l**2 + 2*l
Let a(q) be the third derivative of 1933*q**7/105 + q**5/30 - 1057*q**3/6 - 1119*q**2 - 1. Find the third derivative of a(b) wrt b.
92784*b
Suppose 482*b = 325*b. Let y(w) be the first derivative of 6*w + b*w**4 + 0*w**3 + 13/5*w**5 - 27 + 0*w**2. Differentiate y(z) with respect to z.
52*z**3
Let p be 5 - 2 - (2 + -1 + -68). Suppose 9*h - p = 4*h. Find the first derivative of -h*s**3 - 5 - 8 - 3 wrt s.
-42*s**2
Let s(i) be the second derivative of -688*i**6/15 + 697*i**4/12 - 19*i + 30. What is the third derivative of s(p) wrt p?
-33024*p
What is the derivative of -31*h + 10*h**3 + 3*h**3 + 3*h**3 + 1877 - 1635 wrt h?
48*h**2 - 31
Let q(k) be the first derivative of 697*k**4/4 + 1381*k + 1528. What is the derivative of q(l) wrt l?
2091*l**2
Let w(z) be the first derivative of 1082*z**4 + 1794*z + 842. Differentiate w(n) with respect to n.
12984*n**2
Let y(v) = v**2 - v - 1. Let p be y(3). Suppose p - 1 = n. What is the second derivative of 8*l**4 - 12*l**4 - 9*l + 6*l**5 + 4*l**n wrt l?
120*l**3
Let v(j) be the second derivative of 7*j**4/12 - 7*j**3/3 + 300*j**2 + 482*j. Find the first derivative of v(n) wrt n.
14*n - 14
Let l(a) = a**2 + 9*a - 5. Let j be l(-10). Find the second derivative of -50*p**4 - j*p**4 + 117*p + 0*p**4 + 7*p wrt p.
-660*p**2
Let v(y) = 1240*y**2 - 48*y - 39. Let g(m) = 3719*m**2 - 136*m - 116. Let x(z) = 6*g(z) - 17*v(z). What is the derivative of x(i) wrt i?
2468*i
Let t(d) be the first derivative of 872*d**3/3 + 3*d**2/2 + 382*d - 457. Find the second derivative of t(l) wrt l.
1744
Let c(f) = f**2 + f + 53. Let h(v) = -5*v**2 - 3*v - 212. Let o(n) = 7*n - 52. Let a be o(8). Let t(g) = a*h(g) + 18*c(g). Differentiate t(w) wrt w.
-4*w + 6
What is the second derivative of 1566*u**2 - 31*u - 238*u**2 + 822 + 30*u wrt u?
2656
Find the second derivative of -26*y - 20 + 1158064*y**2 - 1158064*y**2 - 2334*y**5 wrt y.
-46680*y**3
Suppose -5*z + 35 = 5*n, 4 = 4*n + z - 12. Find the first derivative of 220*u**3 - 240*u**3 + 239*u**n + 4*u - 249 - 4*u wrt u.
657*u**2
Let x be ((285/(-10))/(-19))/(6/16). Find the third derivative of 53*b**2 - 628*b**3 + 628*b**3 - 19*b**x wrt b.
-456*b
Suppose -50 = 4*f - 58. What is the third derivative of 18*x**3 - 36*x**3 - 28*x**3 - 38*x**3 - 20*x**f wrt x?
-504
Let q(n) be the third derivative of -211*n**5/30 - n**4/4 + 2605*n**3/3 + 3471*n**2. What is the first derivative of q(t) wrt t?
-844*t - 6
Let a(c) = -c**2 - 2*c. Let w(p) = -117*p - 14*p - 97*p - 8*p**2 - 116*p. Let o(r) = 5*a(r) - w(r). What is the second derivative of o(v) wrt v?
6
What is the third derivative of -251*r**4 - 17*r**6 - 2*r**2 - 61*r - 6*r**3 + 15*r**6 + 6*r**3 + 15*r**2 wrt r?
-240*r**3 - 6024*r
What is the third derivative of 4835*w**6 - 184*w**3 + 42*w + w**2 - 4838*w**6 + 4*w**2 - 678*w**3 wrt w?
-360*w**3 - 5172
Find the second derivative of 2*m**3 + 150 - 2215*m + 138 + 405*m**4 + 1100*m + 1089*m - 56 wrt m.
4860*m**2 + 12*m
What is the second derivative of 16*o**4 - 22*o**4 - 5*o**3 - 1932*o - 39*o**4 + 6*o**2 - 7580*o - 1066*o wrt o?
-540*o**2 - 30*o + 12
What is the first derivative of 124 - 159*s**2 - 156 + 601*s**2 - 2*s + 144 wrt s?
884*s - 2
Let u(s) be the first derivative of -993*s**5/5 + 361*s**2 + s + 329. Find the second derivative of u(y) wrt y.
-11916*y**2
What is the derivative of 530 - 55*a**4 + 615 - 553*a**4 - 492*a**4 wrt a?
-4400*a**3
Let q be (1 + -7)*(-26)/(-156)*(0 + -4). Let s(p) be the first derivative of -11/3*p**3 + 0*p**2 - 12 + q*p. Differentiate s(c) with respect to c.
-22*c
Let m(k) be the first derivative of k**4/12 + 49*k**3/3 + 65*k**2/2 - 82*k + 78. Let t(p) be the first derivative of m(p). Differentiate t(h) with respect to h.
2*h + 98
Suppose -4*x = -i + 98, -2*i + 40*x - 35*x = -211. Find the first derivative of 129*s**4 + 20*s + i - 2*s**2 - 20*s wrt s.
516*s**3 - 4*s
Let j(x) be the second derivative of x**8/28 - 131*x**5 - x**4/6 - 275*x**3/6 - x**2 + 14089*x. Find the third derivative of j(y) wrt y.
240*y**3 - 15720
Let i(q) be the first derivative of -140*q**3 - 3*q**2/2 + 790*q - 2596. What is the second derivative of i(m) wrt m?
-840
Let z(u) be the second derivative of 31*u**3/3 - u**2/2 - 9*u. Let i be z(1). Differentiate 5*b**4 + 83 + 4*b**4 - i with respect to b.
36*b**3
Suppose 3*h - 8*q = -6*q + 333, 5*q - 15 = 0. Find the first derivative of 472*s**2 + 2*s + h + 2*s - 4*s - 318*s**2 wrt s.
308*s
Let d(v) = -v**2. Let f(b) = 21*b**4 - 8*b**2 + 23*b. Let w be 12/4 - (-3 + 2)*3. Let m(t) = w*d(t) - f(t). Find the second derivative of m(a) wrt a.
-252*a**2 + 4
Let h = 11706 - 11706. Let m(j) be the third derivative of 21*j + h*j**4 + 35/6*j**3 + 4/5*j**5 - j**2 + 0. What is the first derivative of m(g) wrt g?
96*g
What is the first derivative of 379 - 1756*n**3 + 627 - 55*n**3 + 214*n**3 wrt n?
-4791*n**2
Let i(v) = v**3 + v**2 - 2*v - 1. Let a(t) = 320*t**3 + 9*t**2 - 18*t - 814. Let q(g) = -2*a(g) + 18*i(g). Find the first derivative of q(u) wrt u.
-1866*u**2
Let k = -204 - -217. Differentiate -43 - 12 + k*c**4 + 12*c**4 - 45 + c**2 with respect to c.
100*c**3 + 2*c
Let r(s) be the third derivative of 217*s**8/4