*s**2
Let k(o) = -50*o**4 - 30*o**3 - 6*o + 1226. Let s(p) = 56*p**4 + 31*p**3 + 7*p - 1225. Let r(m) = 7*k(m) + 6*s(m). What is the first derivative of r(q) wrt q?
-56*q**3 - 72*q**2
Let w(g) be the first derivative of -1319*g**2/2 - 2896*g + 3090. Differentiate w(b) with respect to b.
-1319
What is the third derivative of -2 - y**3 - y**3 + 2 - 2026*y**4 + 3129*y**4 - 1846*y**2 wrt y?
26472*y - 12
Suppose -2*j + 4*j = 4. Find the third derivative of -9*w**j + 175*w**5 - 90*w**5 + 8 + 2 + 34*w**4 - 88*w**5 wrt w.
-180*w**2 + 816*w
Let k(t) = t - 4. Let o(h) = -2*h + 3. Let x(g) = 3*k(g) + 2*o(g). Let f be x(-14). What is the third derivative of 6*s**4 + 2*s**4 + f - 8 + 13*s**2 wrt s?
192*s
Let u be (-3)/3 + ((-120)/(-4))/(-2). Let g = u - -21. What is the derivative of 4 + g - 16*i + 6 wrt i?
-16
Find the third derivative of -y**2 + 122*y**4 + 0 + 139*y - 2334*y**4 - 5 + 5 wrt y.
-53088*y
Suppose -3*o + 159 = -3*w, 4*w + w + 33 = o. Let a = o + -48. What is the second derivative of -2*c**2 - 10*c - 14*c - 6*c + a*c wrt c?
-4
Let c = -308 + 327. Find the first derivative of c*m**2 + 51*m**2 - 100*m**2 - 1 wrt m.
-60*m
Let k(v) be the third derivative of -4133*v**6/120 + 47*v**5/30 + 19*v**4/24 + 1948*v**2. Find the third derivative of k(w) wrt w.
-24798
Let p = 20630 + -61885/3. Let q(u) be the third derivative of 30*u**2 + 0*u + 0 - p*u**3 + 5/12*u**4. What is the derivative of q(h) wrt h?
10
Let z(q) = q**3 + q. Let a be 13/5 - 34/(-85). Let y(l) = 51*l**3 + 5*l**2 - 9*l. Let i(u) = a*z(u) - y(u). Find the third derivative of i(d) wrt d.
-288
Let p(m) be the third derivative of -551*m**9/504 - 391*m**5/20 + 6*m**2 - 28*m. Find the third derivative of p(a) wrt a.
-66120*a**3
Let x = 189 + -186. Find the first derivative of 2*q**4 - 1033*q**3 + 1007*q**3 + 2*q**4 - 2 - x*q**4 wrt q.
4*q**3 - 78*q**2
Let h(z) be the first derivative of -31*z**4/6 - 41*z**3/2 - 79*z + 29. Let x(f) be the first derivative of h(f). What is the second derivative of x(i) wrt i?
-124
What is the first derivative of 39*m + 124*m - 115*m - 1151 + 174*m + 286*m wrt m?
508
Let n(b) be the third derivative of -1873*b**7/70 - 671*b**4/3 + 2185*b**2 - 2*b - 2. What is the second derivative of n(z) wrt z?
-67428*z**2
Let d(q) be the third derivative of 0*q**3 + 11/24*q**4 + 61/210*q**7 + 0*q + 0*q**6 + 10 + 1/12*q**5 + 10*q**2. Find the third derivative of d(n) wrt n.
1464*n
Differentiate -697 + 1250*f + 1073*f + 1548 wrt f.
2323
What is the second derivative of -6347*h - 285*h**4 - 19 + 19 - 1536*h**4 wrt h?
-21852*h**2
Let c(j) = 2877*j + 3822. Let g(u) = -15*u. Let k(b) = c(b) + 126*g(b). Differentiate k(q) wrt q.
987
Suppose 11*n - 42 = 12*n. Let g = n - -44. What is the second derivative of -28*u + 3*u**2 + 44*u - 2*u**g + 5*u**2 wrt u?
12
Let c(h) be the first derivative of 2704*h**3/3 - 2413*h**2/2 + 352. Find the second derivative of c(v) wrt v.
5408
Suppose -n + 0 = k + 1, -5*n = -4*k + 41. Suppose k*h = 0, 3*b + 8*h - 12 = 3*h. Find the second derivative of 122*g - 126*g + 7*g**b + 3*g**4 wrt g.
120*g**2
Let m(j) be the first derivative of -j**4/4 + 159*j**2 - 1573*j + 326. Find the first derivative of m(g) wrt g.
-3*g**2 + 318
Differentiate 47907316*p - 2285*p**3 + 4866 - 47907316*p wrt p.
-6855*p**2
Let t(b) = b**3 - 10*b**2 - 23*b - 139. Let s(j) = -3*j - 69 + 8*j - 4*j**2 - 17*j. Let i(k) = 5*s(k) - 2*t(k). Find the first derivative of i(w) wrt w.
-6*w**2 - 14
Let a(m) be the first derivative of -181*m**6/3 + 4*m**5/5 + 1137*m**3 - 4814. What is the third derivative of a(s) wrt s?
-21720*s**2 + 96*s
Suppose 0 = -2*u + 6, -21 = -5*i - 2*u + 10. Suppose -3*q + q + 4*j = -34, -10 = -i*j. Find the second derivative of -90*g**2 - q*g - 29*g**3 + 90*g**2 wrt g.
-174*g
Let g(p) = -2*p**3 - 2*p**2 + p + 3. Let q(i) = 2605*i**3 + 12*i**2 + 20*i - 15. Let y(m) = 6*g(m) + q(m). Find the second derivative of y(n) wrt n.
15558*n
Let y = 127 + -123. Let w(k) = -k. Let i(v) = -56*v - 84. Let c(o) = y*w(o) - i(o). Differentiate c(d) wrt d.
52
Let z(a) = a**4 + a**3 - 1. Let q = -557 - -556. Let m(p) = 3*p**4 - p - 36. Let b(i) = q*m(i) - z(i). Find the second derivative of b(v) wrt v.
-48*v**2 - 6*v
Let g(t) be the first derivative of 24*t + 0*t**3 - 1/5*t**5 + 1/4*t**4 + t**2 - 62. Find the second derivative of g(o) wrt o.
-12*o**2 + 6*o
Let f(y) = -2*y - 14. Let d be f(-8). Suppose -4*l - d*c + 1200 = -3*c, l = 2*c + 293. Find the first derivative of 303 - v**2 - l - v**2 wrt v.
-4*v
Let s(x) be the third derivative of x**6/40 + 127*x**4/4 + 1351*x**3/3 - 488*x**2. Find the first derivative of s(w) wrt w.
9*w**2 + 762
Suppose 0 = 2*c - 2*s - 8, c - 8*s = -3*s. Suppose -i - 3*i = -3*q - 8, -c*i - q + 10 = 0. What is the first derivative of 5 + i + 3*t + 2 + 4*t wrt t?
7
Let c = 5536 + -5531. Let d(q) be the first derivative of c + 41/4*q**4 + 0*q**3 + 28*q + 0*q**2. What is the derivative of d(f) wrt f?
123*f**2
Let z(a) be the third derivative of -1797*a**6/20 - 1947*a**3/2 + 351*a**2 + 2*a. Differentiate z(p) with respect to p.
-32346*p**2
Let l(w) = -3117*w - 3178. Let f(n) = -1558*n - 1586. Let h(y) = -7*f(y) + 3*l(y). What is the first derivative of h(b) wrt b?
1555
Let s(z) = 246*z**2 + 26*z - 12193. Let a(d) = -7*d - 5. Let o(c) = 4*a(c) + s(c). Differentiate o(w) wrt w.
492*w - 2
Let n(i) = -i**2 - i + 2. Let k(p) = -93*p**2 + 57*p**2 + 69*p**2 + 9 - 2 + 5*p. Let f(c) = 2*k(c) - 6*n(c). What is the second derivative of f(a) wrt a?
144
Let u(f) be the first derivative of 1663*f**3 + 1899*f - 6983. What is the derivative of u(x) wrt x?
9978*x
Suppose -45*t = -71*t + 26 + 26. Let c(v) be the second derivative of 5/4*v**4 - 5/2*v**3 + 0*v**t + 12*v + 0. What is the second derivative of c(r) wrt r?
30
Let o(h) be the third derivative of -h**8/336 - 79*h**5/10 + h**4/24 - 249*h**3/2 - 9694*h**2. Find the second derivative of o(l) wrt l.
-20*l**3 - 948
What is the third derivative of -795493 + 795494 + 873*b**3 - 2*b**2 + 0*b**2 - 117*b wrt b?
5238
Let c(i) be the third derivative of 1513*i**7/210 + i**4/24 + 191*i**3/6 - 2*i**2 - 675*i. Find the second derivative of c(x) wrt x.
18156*x**2
Suppose 0*i - i - 5 = 0. Let t(m) = 12 - 9 + 8 - 10. Let l(p) = 4*p - 12. Let r(f) = i*t(f) + l(f). What is the first derivative of r(w) wrt w?
4
Let f(s) = 109*s - 23. Let p(l) be the first derivative of -l**2/2 - 25. Let o(d) = -f(d) - 5*p(d). Differentiate o(k) wrt k.
-104
Suppose 0*k + k = 5*q - 18, 5*q + k - 12 = 0. Suppose -q*t + 103 = -4*z + 2*z, -z = -3*t + 101. What is the first derivative of 0*j + t + j - 1 - 2 wrt j?
1
Let j(a) = 297*a**3 - 9*a**2. Let g(b) = 22*b**3 - 45*b**3 - 125*b**3 + 5*b**2. Let w(i) = -13*g(i) - 6*j(i). Find the third derivative of w(q) wrt q.
852
Let z(y) be the first derivative of 5*y**6/2 - 2*y**5/5 + 122*y**3/3 + 715. What is the third derivative of z(x) wrt x?
900*x**2 - 48*x
Let s(t) = -t**3 + 6*t**2 + 3*t - 10. Let i be s(6). Suppose -5*k = -i*k + 9. Find the first derivative of -13 - 36*m**k + 26 + 22 wrt m.
-108*m**2
Let u(q) be the third derivative of -19*q**7/105 + q**6/60 - 19*q**5/60 + 2342*q**3/3 - 962*q**2 - 4. What is the derivative of u(y) wrt y?
-152*y**3 + 6*y**2 - 38*y
Let q(o) be the second derivative of -475*o**8/56 + o**7/21 - 49*o**4/2 + o**3/3 - 301*o. Find the third derivative of q(j) wrt j.
-57000*j**3 + 120*j**2
Let f(x) be the first derivative of -294*x**4 + 4*x**3/3 - 1291*x**2/2 - 1984. What is the third derivative of f(o) wrt o?
-7056
Let n(s) be the third derivative of 853*s**9/504 + 1147*s**5/60 + 1036*s**2. What is the third derivative of n(m) wrt m?
102360*m**3
Let r(w) be the second derivative of 33/10*w**6 + 0*w**4 + 0*w**5 + 0 + 0*w**3 - 91/2*w**2 - 175*w. Find the first derivative of r(h) wrt h.
396*h**3
Let z(n) be the third derivative of 88*n**7/35 - 3869*n**4/24 - 3*n**2 - 341. Find the second derivative of z(x) wrt x.
6336*x**2
Let j(b) be the third derivative of -95*b**9/63 + b**8/336 + 349*b**5/12 - 1751*b**2. Find the third derivative of j(x) wrt x.
-91200*x**3 + 60*x**2
Let r(s) = 15*s + 19. Suppose -48*d - 4 = -49*d. Let g be r(d). Find the first derivative of 76 + g - 2*c + 12*c**2 - 119 wrt c.
24*c - 2
Suppose -s - 1 = -15. Let b = -12 + s. What is the second derivative of -43*v**b + 79*v - 157*v + 