51*r + 5*r**3 wrt r?
12*r
Suppose 10*h - 233 - 57 = 0. Differentiate 16 + 43*m**3 + 50*m**3 - 15 - h*m**3 wrt m.
192*m**2
What is the third derivative of -74*u**3 - 162*u**3 + 115*u**3 - 2*u**2 - 365*u - 88*u**3 - 170*u wrt u?
-1254
Suppose 222 - 27 = 39*f. What is the third derivative of 151 - 71*x**5 - 150 - 32*x**2 - 43*x**f wrt x?
-6840*x**2
Let f(t) be the first derivative of t**4/4 - 4*t**3/3 + 2*t + 11. Let n be f(4). What is the second derivative of 3*m**n + m - 3*m - 2*m**3 - 3*m**2 wrt m?
-12*m
Let m = 582 + -577. What is the first derivative of 285 + 108*p + 227*p - 78*p + m wrt p?
257
Let q(o) = -o**2 - 5*o + 8. Let k be q(-9). Let f = -26 - k. Find the second derivative of 353*y**f - 41*y - 39*y**3 - 353*y**2 wrt y.
-234*y
Suppose -g - q = -59, -4*q = 3*g - 4*g + 39. Let h be (-33)/g + (-73)/(-5). Find the second derivative of -31*s + 64*s**3 - 64*s**3 - h*s**5 wrt s.
-280*s**3
Suppose -2*u + 8 - 12 = 0. Let c(s) = s + 6. Let n be c(u). Find the third derivative of -17*j**2 - 5*j**n + 5*j - 5*j + 19*j**4 wrt j.
336*j
Let v = -2243 + 2257. Let o(y) be the third derivative of 0*y**5 + v*y**2 - 2/3*y**3 + 0*y**4 + 7/30*y**6 + 0 + 0*y. What is the first derivative of o(x) wrt x?
84*x**2
Suppose -604 = -44*m + 42*m. Suppose m = 3*f + 3*s - 508, -15 = -3*s. What is the third derivative of -258*x**2 - 3*x**4 + 8*x**4 + f*x**2 wrt x?
120*x
What is the second derivative of -540*m**2 - 27869*m + 109*m**2 + 23738*m - 249*m**2 wrt m?
-1360
Let o(h) be the first derivative of 387*h**2/2 - 2361*h + 687. What is the derivative of o(s) wrt s?
387
Let p(c) = -2720*c**3 + 70*c**2 + 58*c. Let q(l) = -1361*l**3 + 36*l**2 + 28*l. Let j(v) = -6*p(v) + 13*q(v). What is the third derivative of j(w) wrt w?
-8238
Let m(d) = -d**2 - 10*d + 4. Let f be m(-10). Suppose -f*s + 9 = -15. What is the second derivative of 3*k**2 + 0*k**2 + 8*k - s*k**2 - 2*k**2 wrt k?
-10
Let l be (2 + -1)*161/(-23). Let d be ((-2)/l)/(14/196). Differentiate 2*f**4 - 7*f**4 - 14 - f**d - 4*f**4 wrt f.
-40*f**3
Let r(y) be the second derivative of 2/3*y**3 - 13*y**2 + 26*y + 0 + 3/4*y**4. What is the derivative of r(c) wrt c?
18*c + 4
Let m(a) = 74*a**2 + 65*a - 53. Let w(i) = 38*i**2 + 33*i - 27. Let z(l) = -6*m(l) + 11*w(l). Find the second derivative of z(j) wrt j.
-52
Let q(m) be the second derivative of -6823*m**4/12 - 497*m**3/6 - m**2 + 64*m + 54. Find the second derivative of q(t) wrt t.
-13646
Let j(r) be the second derivative of -r**6/15 + 639*r**5/10 + 439*r**4/12 + r**2 - 19*r - 5. What is the third derivative of j(x) wrt x?
-48*x + 7668
Suppose -2*o + 6*o = 0. Suppose -24*i + 23*i + 9 = o. Find the second derivative of 29*x + x - i*x**4 - 9*x**4 wrt x.
-216*x**2
Let o(q) be the first derivative of -29*q + 35 - 59/3*q**3 + 0*q**2. Differentiate o(i) wrt i.
-118*i
Let g = -59 - -61. Find the second derivative of -166*d**2 - 9 - d + 11*d**2 + 43*d**g - 5 - 12*d**2 wrt d.
-248
Let s(i) be the first derivative of 0*i**2 + 0*i**4 + 0*i**5 - 84*i**3 + 35*i**6 - 2/7*i**7 + 145 + 0*i. What is the third derivative of s(d) wrt d?
-240*d**3 + 12600*d**2
Let p(s) = -s**2 + s + 1. Let r(d) = -16*d**2 + 55*d + 598. Let b(l) = -34*p(l) + 2*r(l). Find the first derivative of b(g) wrt g.
4*g + 76
Differentiate 47*f - 14*f + 52*f + 136*f + 71*f - 156 with respect to f.
292
Suppose -180 = 11*k - 2*k. Let q = 23 + k. Differentiate 0*d**3 - 4*d**3 - 5*d**3 - 20 + d**q with respect to d.
-24*d**2
Suppose -15 = -4*o - 3. Suppose b = 3*t - 7, -3*t - 3 + 4 = -4*b. What is the second derivative of -o*p + 16*p - p**b + 2*p**2 + p**2 wrt p?
4
Let k(a) be the first derivative of 739*a**4/4 + 4*a**3/3 - 9799*a - 2867. What is the derivative of k(b) wrt b?
2217*b**2 + 8*b
Differentiate 2409 - 1040*h - 1890*h + 1153 - 1496*h wrt h.
-4426
Let q(s) = 7*s + 141. Let u(x) = -7*x - x + 6*x + 141 + 3*x + 5*x. Let t(v) = 3*q(v) - 4*u(v). What is the derivative of t(d) wrt d?
-3
Let g = 144 - 138. What is the second derivative of 4*i**2 + 0*i**2 + 44*i + g*i**2 + 6*i**3 - 14*i**2 wrt i?
36*i - 8
Let n(s) be the third derivative of 0 + 0*s + 0*s**6 + 90*s**2 + 17/105*s**7 + 0*s**4 - 13/2*s**3 + 0*s**5. Find the first derivative of n(b) wrt b.
136*b**3
Let q(d) be the first derivative of d**6/12 + d**4/24 - 8*d**3 - d**2 + 15*d - 27. Let u(x) be the second derivative of q(x). Differentiate u(a) wrt a.
30*a**2 + 1
Let c(a) be the second derivative of -57*a**8/28 - 175*a**4/12 + 13*a. What is the third derivative of c(b) wrt b?
-13680*b**3
What is the second derivative of 24*g + 51 - 117 + 2977*g**2 + 67 wrt g?
5954
Let a(y) be the first derivative of -5057*y**6/6 - 2*y**3/3 + 193*y**2 + 7*y + 13875. Find the second derivative of a(v) wrt v.
-101140*v**3 - 4
What is the third derivative of 18682*b**3 - 10584*b**3 + 6862*b**2 - 487*b**2 wrt b?
48588
Let z(t) be the first derivative of 1309*t**6/6 + 179*t**2/2 - 2*t + 504. Find the second derivative of z(r) wrt r.
26180*r**3
Let u(x) be the second derivative of 41*x**7/21 + x**4/3 - 289*x**3/2 + 155*x - 2. What is the second derivative of u(g) wrt g?
1640*g**3 + 8
Let y(b) be the second derivative of 0*b**4 - 64*b - 79/2*b**2 - 3/4*b**5 + 0 - 1/3*b**3. Find the first derivative of y(a) wrt a.
-45*a**2 - 2
What is the first derivative of 228 + 101*p**3 + 383 + 391 + 127*p**3 - 7*p**3 wrt p?
663*p**2
Let f(g) be the first derivative of g**5/5 + 7*g**4/4 + 70*g**3/3 - 2532*g**2 + 3489. What is the second derivative of f(a) wrt a?
12*a**2 + 42*a + 140
Let y(j) be the second derivative of 0*j**3 - 129/2*j**2 - 14*j + 1/4*j**5 + 0*j**4 + 0. Differentiate y(a) wrt a.
15*a**2
Let w(x) be the second derivative of 62*x**4/3 - 271*x**3 - 14*x + 4. What is the second derivative of w(f) wrt f?
496
Let c(d) = 16*d + 9. Let a be c(-2). Let m = -19 - a. Differentiate 93*w**m + 95*w**4 + 94*w**4 - 255*w**4 + 34 wrt w.
108*w**3
What is the derivative of 868 - 86*o**2 + 227 + 80*o**2 + 37*o**3 + 463 + 84 wrt o?
111*o**2 - 12*o
Let o(z) = -z**2 - 4*z + 1. Let l(g) = -2366*g**2 - 23*g + 521. Let t(n) = l(n) - 6*o(n). What is the second derivative of t(f) wrt f?
-4720
Let q(p) be the first derivative of 26*p**6/15 - 9*p**4/4 - 58*p - 11. Let z(o) be the first derivative of q(o). What is the third derivative of z(m) wrt m?
1248*m
Let j(q) be the second derivative of 2575*q**5/4 + q**4/4 - 79*q**3/6 - 5*q**2/2 - 4508*q. Find the third derivative of j(m) wrt m.
77250
Let x(z) = -31*z**2 - 2225*z - 11885. Let w(f) = -37*f**2 - 2230*f - 11886. Let d(c) = -5*w(c) + 6*x(c). Differentiate d(t) wrt t.
-2*t - 2200
Find the third derivative of 232*y**3 - 691*y**3 + 227*y**3 - 1054*y**4 + 2477*y**2 - 207*y**4 + 230*y**3 wrt y.
-30264*y - 12
Let z(d) be the first derivative of 15*d**5 - d**3/3 + 3102*d**2 - 2442. Find the second derivative of z(v) wrt v.
900*v**2 - 2
Suppose -2*k = -2*r - 4*k + 20, 5*k + 6 = 2*r. Suppose 36 = r*n - 4. Find the third derivative of -14*f**2 - 2*f**6 + 18 + 16*f**2 - n*f**6 wrt f.
-840*f**3
Let d(z) = 1074*z**2 + 386*z. Let t(i) = 2152*i**2 + 772*i. Let h(a) = -5*d(a) + 2*t(a). Find the second derivative of h(q) wrt q.
-2132
Find the third derivative of -117296*p**2 + 34 + 117288*p**2 - 161*p**5 - 101 + 2*p**6 wrt p.
240*p**3 - 9660*p**2
Let i(d) be the second derivative of -2*d**6/15 + 113*d**5/20 - 197*d**4/2 + 16*d - 45. What is the third derivative of i(o) wrt o?
-96*o + 678
Let s(q) be the second derivative of 568*q**7/21 + 35*q**4/6 - 47*q + 31. What is the third derivative of s(c) wrt c?
68160*c**2
Let t(l) = 17*l**2 + 6*l + 2. Let v be t(-2). Let u = -49 + v. Find the second derivative of -3*b**3 + u*b + 4*b**3 - b - 11*b**3 wrt b.
-60*b
Suppose 156 + 546 = 18*k. Find the second derivative of -43*n**2 + 84*n**2 - 5*n - k*n**2 + 2 wrt n.
4
Let h(k) = -9*k**2 - 116*k + 15. Let u be h(-13). What is the first derivative of -108 - 1336*s + 1336*s + 7*s**3 - 10*s**u wrt s?
21*s**2 - 20*s
Let b(n) = -1423*n**3 - 9*n**2 + 19*n - 30. Let l(o) = 711*o**3 + 4*o**2 - 10*o + 12. Let p(m) = 4*b(m) + 9*l(m). Find the second derivative of p(q) wrt q.
4242*q
Let x(s) = -1476*s - 1706. Let j(a) = 1467*a + 1706. Let y(t) = 4*j(t) + 3*x(t). Differentiate y(w) wrt w.
1440
Let h(b) be the third derivative of -1/10*b**5 - 37/120*b**6 + 0*b - 2 + 0*b**4 + 56*b**2 + 0*b**3. Find t