8*b
Differentiate 262 - 442 + 401 - 982*c**2 + 790 wrt c.
-1964*c
Find the third derivative of -562 - 47*q**3 + 188*q**4 + q**2 - 373*q**4 + 185*q**4 + 128*q**3 - 8*q**6 wrt q.
-960*q**3 + 486
What is the second derivative of 278*n - 3 + 1428*n + 3 - 369*n**3 wrt n?
-2214*n
Let k be (1/2)/(9/72). Let l be (1 - 2) + 1*(3 + k). Find the second derivative of l*g + 2*g**5 - 505*g**2 + 505*g**2 wrt g.
40*g**3
Let z(n) be the first derivative of 17*n**4/2 - 13*n**3/3 - 359*n**2/2 - 11850. What is the second derivative of z(y) wrt y?
204*y - 26
Suppose 3*u + 5*c - 21 = 0, -3*u = -2*c + 3*c - 9. Find the third derivative of 53*v - 113*v - 35*v**4 + 60*v - 20*v**u wrt v.
-840*v
Let y(j) = j**2 + 15*j + 9. Let g be y(-17). Find the second derivative of -2695*m**2 + 31*m + g*m + 2704*m**2 wrt m.
18
Suppose -5*d - 5*c + 1290 = 0, 408 = 2*d - c - 96. Differentiate -d - 15*h**3 + 46*h**3 + 99 wrt h.
93*h**2
Let c(d) be the third derivative of -509*d**6/30 - 229*d**4/2 + 1428*d**2. What is the second derivative of c(g) wrt g?
-12216*g
Let a(t) be the second derivative of -29*t**6/240 - t**5/8 + 23*t**4/12 - 60*t. Let h(y) be the third derivative of a(y). Differentiate h(f) wrt f.
-87
Suppose 2*v = 4*k - 2 - 12, -9 = 2*v + k. Let p be ((-2)/(-6))/((-58)/12 - v). Find the second derivative of 29*o + 36*o**2 - 7*o - 14*o**p wrt o.
44
Let h = 75 + -66. What is the third derivative of 265*s**3 - h*s**2 - 339*s**3 - 69*s**2 wrt s?
-444
Let f(z) be the second derivative of -z**6/15 - 707*z**5/10 - z**3/3 - 5115*z**2/2 - 7421*z. Differentiate f(c) wrt c.
-8*c**3 - 4242*c**2 - 2
Suppose -299 = -5*f - 54. Let m = f - 34. What is the second derivative of a + 12*a**5 + m*a**2 - 15*a**2 - 30*a**5 wrt a?
-360*a**3
Find the second derivative of 116 + 2539*h**2 - 2194*h**2 - 4326*h**2 - 2840*h**2 + 13*h wrt h.
-13642
Suppose m + m = 0. Suppose m = -2*p + 3 + 3. What is the first derivative of -k**3 + p + 8*k - 8*k wrt k?
-3*k**2
Let o(z) = 6*z + 116. Let m be o(-19). Find the third derivative of 60*c**m + 2*c**5 + 24*c**2 + 65*c**5 wrt c.
4020*c**2
Let b(i) = -1097*i**3 - 14*i**2 + 431*i - 35. Let r(z) = -z**3 - 2*z**2 - 5. Let o(u) = -2*b(u) + 14*r(u). What is the second derivative of o(s) wrt s?
13080*s
Let c = 361 - 358. Find the third derivative of -867*s**c - 847*s**3 - 34*s**2 + 1868*s**3 wrt s.
924
Let d = -304 + 306. Let n(a) = -a**3 - 5*a**2 - 3*a + 3. Let u be n(-5). Find the third derivative of -10*m - 24*m**3 + 13*m**d + u*m - 8*m wrt m.
-144
Suppose -48*l - 13685 = -53*l. Find the second derivative of -3*p**3 - l*p**5 - 38*p + 2734*p**5 + 3*p**3 wrt p.
-60*p**3
What is the third derivative of -126*q**3 - 4*q**5 - 518*q**2 + 8 - 6 - 2 + 1463*q**2 wrt q?
-240*q**2 - 756
Let k(a) be the second derivative of 609*a**6/10 + 1575*a**2/2 + 1774*a. What is the first derivative of k(r) wrt r?
7308*r**3
Let y(o) = 184*o**2 + 2*o + 20. Suppose -132 = -7*j - 5*j. Let p(d) = -91*d**2 - d - 10. Let c(u) = j*p(u) + 6*y(u). Find the second derivative of c(t) wrt t.
206
Let q = -39 + 39. Suppose -i - y - 1 = q, 2*y + 7 = 3*i - 15. Find the second derivative of -34*d**4 + 58*d**4 + 11*d - 36*d**i wrt d.
-144*d**2
Let s(b) = 5*b + 143. Let c be s(-19). What is the second derivative of 2*j - 163*j**3 - 33 + c - 30*j**3 + 5*j**3 wrt j?
-1128*j
Let i(b) be the first derivative of -101/2*b**2 - 156*b - 78. Differentiate i(j) wrt j.
-101
Let l(q) = 1586*q**3 + 18*q**2 + 9*q + 1296. Let d(b) = 1587*b**3 + 20*b**2 + 10*b + 1299. Let z(t) = 9*d(t) - 10*l(t). Differentiate z(v) wrt v.
-4731*v**2
What is the first derivative of -1013*j - 39 - 35 - 288*j + 298*j + 24 wrt j?
-1003
Let k(j) be the second derivative of j**5/10 + 1697*j**3/6 - 1895*j**2/2 + 2939*j. What is the first derivative of k(t) wrt t?
6*t**2 + 1697
Let q(f) be the first derivative of 0*f + 38 + 0*f**5 - 6*f**3 - 67/2*f**2 + 0*f**4 + 1/6*f**6. What is the second derivative of q(n) wrt n?
20*n**3 - 36
Let y(d) be the first derivative of -d + 0*d**2 - 23/2*d**4 - 18*d**3 + 61. What is the third derivative of y(b) wrt b?
-276
Let m(p) = p**3 - 6*p**2 - 2*p + 6. Let o be m(8). Let r = o + -80. What is the second derivative of -r*b + 22*b + 12*b**5 + 30*b - 5*b**5 wrt b?
140*b**3
Suppose 3*v - 10 + 1 = 0. Find the second derivative of 11*n**4 + 5 - 2629*n + 5259*n - 2635*n + 2*n**v wrt n.
132*n**2 + 12*n
Let t(z) be the second derivative of -z**7/42 + 5443*z**6/30 - 2481*z**3/2 - 11261*z. What is the second derivative of t(s) wrt s?
-20*s**3 + 65316*s**2
Let a(x) be the second derivative of -x**5/4 + 19*x**3/3 + 13*x**2/2 - 70*x. Let w(z) be the first derivative of a(z). Find the first derivative of w(d) wrt d.
-30*d
Let i(f) be the first derivative of 65 + 18*f + 3/2*f**2 + 3*f**3. What is the derivative of i(q) wrt q?
18*q + 3
Let u(j) be the third derivative of 61*j**5/12 - 5*j**4/24 + 1342*j**3/3 - 1386*j**2. What is the first derivative of u(g) wrt g?
610*g - 5
Let q(v) be the second derivative of -7/10*v**5 + 0*v**3 + v + 69/2*v**2 + 0*v**4 + 82. Differentiate q(s) wrt s.
-42*s**2
Let c(f) be the second derivative of f**6/15 + 7*f**5/20 - 4*f**3/3 - 8405*f**2/2 - 4*f + 527. What is the first derivative of c(n) wrt n?
8*n**3 + 21*n**2 - 8
Find the third derivative of 14*f - 1571*f**2 - 30*f - 5*f + 48*f**4 + 14*f**5 + 21*f wrt f.
840*f**2 + 1152*f
Let p(n) be the first derivative of 1/3*n**3 - 2*n + 39 - 19/2*n**2 + 1/2*n**6 + 0*n**4 + 0*n**5. What is the second derivative of p(y) wrt y?
60*y**3 + 2
What is the derivative of 675 - 118*v - 1133 - 743 - 2*v**2 - 86*v - 158 wrt v?
-4*v - 204
Let m(x) be the third derivative of 1291*x**6/120 - 62*x**5/15 - 7*x**2 + 17*x. What is the third derivative of m(n) wrt n?
7746
Suppose 12*i = 38 - 14. Suppose 5*t = -0 + 5. What is the third derivative of 8*h**2 - t - 1 - 7*h**3 + i wrt h?
-42
Let z(w) = -4*w**3 - 4*w**2 - w + 3. Let p be z(-2). Find the first derivative of 41*s**3 - p + 21*s**3 + 25*s**3 + 104 wrt s.
261*s**2
Let c(g) = 2609*g**2 + 18*g - 2025. Let y(o) = 5218*o**2 + 42*o - 4051. Let l(h) = -7*c(h) + 3*y(h). Differentiate l(t) wrt t.
-5218*t
Suppose 0 = -5*h - 3*o + 19, o - 6*o + 21 = 3*h. Find the third derivative of 0*r**4 + 1280*r**2 - 1282*r**h + r**4 + 3*r**5 - 18 wrt r.
180*r**2 + 24*r
Let j(p) be the first derivative of -5*p**5 - 3*p**4/2 - p**3/3 - 3*p**2 + 302*p + 5113. What is the second derivative of j(h) wrt h?
-300*h**2 - 36*h - 2
Let n(u) be the second derivative of 1819*u**6/30 - 5912*u**2 + 8115*u. Differentiate n(v) wrt v.
7276*v**3
Find the second derivative of 23724 - 23399 - 2430*b**2 - 4*b - 482*b**2 wrt b.
-5824
Suppose -162 = -28*b + 1098. What is the third derivative of 2*a + 27*a**3 + 2*a**2 - 5*a**2 + b*a**3 - 5*a**2 wrt a?
432
Let o(p) = 53*p**2 - 7313*p + 9341. Let h(v) = 32*v**2 - 3659*v + 4671. Let x(q) = -5*h(q) + 3*o(q). Differentiate x(n) with respect to n.
-2*n - 3644
Let o be (-33)/(-4) - (5/4 + -1). Suppose 0 = 7*i - 6 - o. Find the third derivative of -47*a**i + a**4 - 2*a**4 + a**4 - 5*a**4 wrt a.
-120*a
Suppose 2*a - 97 = 247. What is the second derivative of -8 + a*p + 6 + 13 - 178*p - 24*p**5 wrt p?
-480*p**3
Suppose 17 = 3*n + 2*u, -2*n = 2*u + u - 18. What is the third derivative of 7*d**2 + 19*d**n - d - 20*d**2 - d + 9*d**3 wrt d?
168
Let u(a) be the second derivative of -37*a**5/10 - 3*a**4/4 + 1603*a**2/2 - 8*a - 10. Find the first derivative of u(c) wrt c.
-222*c**2 - 18*c
Let k = 66 - -112. Let w = -124 + k. Find the second derivative of 14*o**5 - 42*o - w*o**5 + 8*o - 2*o wrt o.
-800*o**3
Let l(h) be the third derivative of 349*h**5/10 - 43*h**4/6 - h**3/6 + 131*h**2 + 4. What is the second derivative of l(w) wrt w?
4188
Let q(u) be the second derivative of u**7/14 + 41*u**6/10 - u**3/6 + 63*u**2 + 695*u. Find the second derivative of q(i) wrt i.
60*i**3 + 1476*i**2
Let i = 62 - 58. Suppose m - 4*x - 1 = i, 0 = 5*m - 2*x - 61. What is the second derivative of -m*h + 16*h**4 - 10*h - h**4 wrt h?
180*h**2
Differentiate 127*z - 51*z + 213*z - 5*z**2 + 450 - 575 - 2705 wrt z.
-10*z + 289
Differentiate -8652 - 30*w - 26*w**3 - 166*w**3 + 27*w wrt w.
-576*w**2 - 3
Let f(q) = q**4 - q**2 - 2. Let w(g) = -4*g**4 + 6*g**2 - 248*g - 379. Let d(c) = 6*f(c) + w(c). Differentiate d(u) wrt u.
8*u**3 - 248
Suppose -571 = -i - 568