32*w**3
Let b(i) = 100*i**2 - 59 - 2*i + 59*i**2 + 2*i. Let c(z) = -478*z**2 + 176. Let x(l) = 11*b(l) + 4*c(l). Find the first derivative of x(n) wrt n.
-326*n
Let n = 65 + -67. Let g(w) = 63*w**2 + 79*w - 9. Let o(b) = 16*b**2 + 20*b - 2. Let j(x) = n*g(x) + 9*o(x). Find the second derivative of j(t) wrt t.
36
Let x(w) be the first derivative of 28/5*w**5 + 0*w**2 + 0*w - 36*w**3 + 0*w**4 - 10. What is the third derivative of x(b) wrt b?
672*b
What is the third derivative of -2*b + 216*b**2 - 4*b**4 - 31*b**4 + 359*b**2 + 38*b**5 wrt b?
2280*b**2 - 840*b
Let t(x) = 2703*x**3 - 32*x**2 + 8*x + 3966. Let j(k) = 1803*k**3 - 20*k**2 + 5*k + 2644. Let r(q) = -8*j(q) + 5*t(q). What is the derivative of r(z) wrt z?
-2727*z**2
Let j = -160 + 184. What is the second derivative of j*w - 63*w - 90*w**2 - 31*w wrt w?
-180
Let p(s) = -2*s**2 + 66*s + 2. Let o be p(33). Find the second derivative of 8 - 2 - 240*d**2 + 16 + 2 + 80*d**o + 2*d wrt d.
-320
Let d = -503 - -509. What is the third derivative of 23*t**d + 41*t**2 - 2*t**4 + 171*t**2 - 6*t**6 + 46*t**2 wrt t?
2040*t**3 - 48*t
Let i = 4724 - 4722. Let n(w) be the third derivative of 0*w - 3/4*w**4 - w**i + 0 - 1/3*w**3. Find the first derivative of n(c) wrt c.
-18
What is the third derivative of -2032*o**2 - 4286*o**5 + 970*o**5 - 1211*o**2 - 298*o**2 - 812*o**5 wrt o?
-247680*o**2
Let a(g) = -1 + 111*g - 112*g + 1. Let w(l) = 10*l - 29. Let f(u) = 6*a(u) + w(u). What is the derivative of f(k) wrt k?
4
Let z = 154 - 150. What is the third derivative of -j**6 + 8*j**6 - 5*j**6 + 15*j**3 + 0*j**6 - z*j**2 - 12*j wrt j?
240*j**3 + 90
Let p(g) be the third derivative of 727*g**6/60 - 4961*g**5/60 + 6641*g**2. Find the third derivative of p(m) wrt m.
8724
Let v(z) = -3917*z**4 - 54*z**3 - 28*z**2 + z + 61. Let m(q) = -9*q**3 - 2*q**2. Let r(h) = -6*m(h) + v(h). Find the third derivative of r(x) wrt x.
-94008*x
Let i(u) be the second derivative of 203*u**6/30 + u**5/10 - 1501*u**4/2 + 8872*u. Find the third derivative of i(a) wrt a.
4872*a + 12
Let j(f) = -11*f. Let b(u) = 4822*u - 2653. Let i(z) = b(z) + 4*j(z). Find the first derivative of i(t) wrt t.
4778
Suppose k = 2*y - 6, 3 + 12 = 5*y + 5*k. Differentiate -112 - 84*d**y + 9*d**3 - 29 - 35 wrt d.
-225*d**2
Let o(k) = -3595*k**2 + 3105*k + 10. Let c(m) = 3595*m**2 - 3108*m - 15. Let x(a) = -2*c(a) - 3*o(a). Find the second derivative of x(r) wrt r.
7190
Let o(v) = -10596*v**2 - 15*v + 756. Let h(t) = 2119*t**2 + 3*t - 151. Let k(s) = 31*h(s) + 6*o(s). What is the second derivative of k(m) wrt m?
4226
What is the first derivative of 4*s**2 + 7214*s - 3609*s + 541*s**3 + 355*s**3 - 3605*s + 7548 wrt s?
2688*s**2 + 8*s
Let g = 36922 + -11438. Find the third derivative of -28*h**6 - g*h**4 + h**3 + 25484*h**4 - 4*h**2 wrt h.
-3360*h**3 + 6
Suppose 2*p - 986 = -158. Let d be (p/18)/(2/2). Differentiate -26*i**2 - 24 - d*i**2 + 45*i**2 with respect to i.
-8*i
Let d(y) be the third derivative of 0*y**3 - 18 - 1/30*y**5 + 0*y + 19/12*y**4 - y**2 + 7/30*y**6. Find the second derivative of d(m) wrt m.
168*m - 4
What is the derivative of 211638*h**4 + 273 + 0*h**3 + 0*h**3 - 211524*h**4 wrt h?
456*h**3
Suppose 31*m - 348 = 799. Differentiate -87 - 13 - 23 - m*f with respect to f.
-37
Suppose 5*i - 4*l = l + 150, 3*l = 3. Let f = i - 29. Find the second derivative of -56*t**2 + 22*t**f - 36*t + 11*t**2 wrt t.
-46
Suppose -7*f = -2*f - 3*j - 51, 5*f - 5*j - 55 = 0. Suppose -9*z - 5*z + 84 = 0. Find the third derivative of 14*x**4 - x**2 - z*x**2 + x**2 - f*x**4 wrt x.
120*x
Suppose 4*o = 6*o - 26. Let d = 2 + o. Differentiate -16*w**2 + 9*w - 10*w + w + d with respect to w.
-32*w
Suppose -4*s = 11*s - 180. Find the second derivative of -s*g + 70*g - 7*g**3 - 163*g**4 + 158*g**4 wrt g.
-60*g**2 - 42*g
Let o(i) be the first derivative of 9/2*i**2 + 67*i - 80. Find the first derivative of o(y) wrt y.
9
Suppose -5*w + 47186 = -4*w + 4*z, 4*w - 5*z - 188828 = 0. Differentiate w*i + 69 - 16*i**4 - 47202*i wrt i.
-64*i**3
Let t(d) be the third derivative of 1/8*d**4 + 0*d**7 + 0*d**3 - 7/30*d**5 + 127*d**2 + 0 + 0*d + 0*d**6 - 5/112*d**8. Find the third derivative of t(f) wrt f.
-900*f**2
Let q(x) = 2*x**3 + 3*x**2 + 2*x + 1. Let p be q(-1). Differentiate 22*v - 5*v**4 - 4 - 20*v + p*v**4 wrt v.
-20*v**3 + 2
Let t(w) = -2*w**4 - 133*w**3 + 4*w**2 + 35*w - 2. Let g(s) = -s**2 + s + 2. Let i(h) = -4*g(h) - t(h). What is the second derivative of i(z) wrt z?
24*z**2 + 798*z
Let i be 2/((6/(-4) - 0) + 2). Suppose -i*c = -3*a - 6969, 0*c - 2*a = 5*c - 8717. What is the second derivative of -c*v**2 + 1743*v**2 - 21*v - 16*v**4 wrt v?
-192*v**2
Let j(k) be the first derivative of -149*k**5/5 - k**4/2 + 288*k**3 - 587. What is the third derivative of j(r) wrt r?
-3576*r - 12
Suppose -6*r + 45 = 33. Find the third derivative of -10*o**6 + 3836*o - 3836*o + 29*o**r wrt o.
-1200*o**3
Let q(h) = -4970*h**2 - 4*h + 3245. Let w(d) = 4974*d**2 + 5*d - 3247. Let b(f) = 5*q(f) + 4*w(f). What is the first derivative of b(p) wrt p?
-9908*p
Let i(q) be the third derivative of q**7/210 - 931*q**6/30 + 641*q**4/6 + q**3/6 - 2*q**2 - 413*q. Find the second derivative of i(l) wrt l.
12*l**2 - 22344*l
Let b(t) be the second derivative of -t**7/42 - 491*t**6/30 - t**3/2 - 286*t**2 + 2609*t. What is the second derivative of b(p) wrt p?
-20*p**3 - 5892*p**2
Let h(z) be the third derivative of -3/2*z**5 + 2*z**2 + 0*z**3 + 0*z**4 + 0 + 8*z + 0*z**6 - 33/35*z**7. What is the third derivative of h(w) wrt w?
-4752*w
Let w(x) be the third derivative of -x**7/42 + 143*x**5/60 + 123*x**4/4 - 610*x**2. Find the second derivative of w(c) wrt c.
-60*c**2 + 286
Let j(d) be the third derivative of d**8/6720 - 19*d**5/40 + 49*d**4/6 - 48*d**2 - 1. Let o(y) be the second derivative of j(y). Differentiate o(x) wrt x.
3*x**2
Suppose -48 = 71*z - 87*z. Let r(h) be the first derivative of 0*h**3 + 11/5*h**5 - z - h + 0*h**4 + 0*h**2. Differentiate r(n) wrt n.
44*n**3
Let q(t) be the third derivative of 85/24*t**4 + 1/6*t**3 + 6 + 0*t + 3*t**2 - 2/15*t**6 + 0*t**5 + 1/210*t**7. Find the second derivative of q(a) wrt a.
12*a**2 - 96*a
Let l(q) = 1415*q**3 - 42*q**2 - 3*q - 10. Let a(d) = -1416*d**3 + 43*d**2 + 4*d + 12. Let f(j) = 5*a(j) + 6*l(j). What is the third derivative of f(o) wrt o?
8460
Let n(p) be the second derivative of 639*p**5 + p**4/12 - p**3/3 - 293*p**2 + 7183*p. What is the third derivative of n(i) wrt i?
76680
Suppose -h - 12 = -7*h. Suppose 4*l = x + 85, 5*l + 16*x - 110 = 18*x. What is the third derivative of h*y**4 + 16*y**4 + y**2 + 25*y**2 + l*y**4 wrt y?
912*y
Let k(l) = -173*l**2 + 7*l - 631. Let o(a) = 160*a**2 - 6*a + 631. Let h(u) = 5*k(u) + 6*o(u). Find the first derivative of h(b) wrt b.
190*b - 1
Let o = 97 + -65. Find the third derivative of -o*i**2 - 163*i**3 - 11 - 30*i**2 - 73*i + 64*i**2 + 11 wrt i.
-978
Let q = 16 - 13. Suppose s + 3*x - 38 = 0, s - q*x = 4*s - 114. Find the third derivative of -s*v**2 + 83*v**2 - 46*v**2 - 18*v**4 wrt v.
-432*v
Let b(n) be the second derivative of -181*n**7/42 + n**6/15 - 371*n**3 + 259*n. Find the second derivative of b(u) wrt u.
-3620*u**3 + 24*u**2
Let v = 133 + -121. Find the second derivative of -41*a**4 - v*a + 51*a**4 + 3 + 77*a**4 wrt a.
1044*a**2
Let l(f) = -19*f**2 + 366*f - 3. Let u(n) = 51*n**2 - 1093*n + 8. Let p(y) = 7*l(y) + 2*u(y). What is the second derivative of p(b) wrt b?
-62
Let l(s) = -2*s + 13. Let r be l(4). Suppose -10*f + 40 = -r*f. Differentiate 1 - f - 3*v - 2 - 2 wrt v.
-3
Let s be (-3 - 34/(-10))*5. Let q(u) be the first derivative of 4*u**2 + 3*u**s - 2*u**2 + 14 - 4 - 3*u**6. Find the second derivative of q(h) wrt h.
-360*h**3
Let k(s) = 7121*s**2 + 49*s + 339. Let u(j) = 7120*j**2 + 42*j + 338. Let t(q) = 6*k(q) - 7*u(q). What is the first derivative of t(z) wrt z?
-14228*z
Let u(k) be the first derivative of -10715*k**4/4 + 34*k**3 - 6*k + 2147. Find the third derivative of u(p) wrt p.
-64290
Let i(g) be the second derivative of 697*g**4/6 - 5*g**3/3 + 46*g**2 + 7*g + 122. Find the second derivative of i(j) wrt j.
2788
Let g(r) = -3*r**2 - 26*r - 16. Let b be g(-8). What is the first derivative of 183 + 2*d**2 + 64 + b*d**2 + 5*d + 0 + 5*d**2 wrt d?
14*d + 5
Let u(h) be the second derivative of 128*h**6/15 