f(w) be the second derivative of -w**5/10 + w**4/12 - 49*w**3/6 + 6177*w**2/2 - 2437*w. What is the first derivative of f(q) wrt q?
-6*q**2 + 2*q - 49
Let j = -13 - -20. Let y(q) = q**2 - 7*q + 7. Let u be y(j). Differentiate 18 + 6*b + 5*b - u wrt b.
11
Let r be 66/8 - 2/8. Let z = -479 + 481. What is the derivative of r*b**3 + 6*b**2 - 4*b**3 + 10 - 6*b**z wrt b?
12*b**2
Let u(d) be the first derivative of 0*d**6 + 0*d**2 + 0*d**4 - 5*d + 0*d**5 + 47 - 13/3*d**3 - 37/7*d**7. What is the third derivative of u(o) wrt o?
-4440*o**3
Let q(f) be the first derivative of -1187*f**4/4 - 432*f - 1165. Find the first derivative of q(u) wrt u.
-3561*u**2
Let h(m) = m + 8. Let s be h(-6). Suppose s*p = -6, 0 = -3*z - 5*p + p - 6. Find the third derivative of 4*t**z + t**2 + t**6 + 9*t**6 + 7*t**2 wrt t.
1200*t**3
Let z(t) = 68*t - 331. Let o be z(5). Let v(w) be the first derivative of 0*w**2 + 0*w**3 - 19/4*w**4 + 13 + o*w. What is the first derivative of v(g) wrt g?
-57*g**2
Suppose -2*g = z, -5*z = 3*g - 2*g - 18. Find the third derivative of 9*d**z - 6*d - 48*d**4 + 6*d - 18*d**2 wrt d.
-936*d
Let m(w) = -67*w - 45. Let j(b) = 11 + 483*b - 516*b - 33. Let u(g) = -5*j(g) + 2*m(g). What is the derivative of u(x) wrt x?
31
What is the first derivative of 40*h**2 - 488*h**2 - 883 - 148*h**2 - 242*h**2 wrt h?
-1676*h
What is the third derivative of -1135*c**5 - 2 - 102*c**5 + 405*c**2 - 144*c**2 wrt c?
-74220*c**2
Let b(o) be the second derivative of 0*o**5 + 7*o - 1/5*o**6 + 2 - 19/6*o**4 + 1/6*o**3 + 0*o**2 + 0*o**7 - 2/7*o**8. Find the third derivative of b(a) wrt a.
-1920*a**3 - 144*a
What is the second derivative of 955*d + 1137*d**4 + 283*d + 1579*d + 1445*d**4 wrt d?
30984*d**2
Find the third derivative of 283*k - 776*k**2 - 863*k + 2134*k**4 - 2 + 291*k + 289*k wrt k.
51216*k
Let z(u) be the first derivative of 0*u + 2/3*u**3 + 11/2*u**4 - 83 - 12*u**2. What is the third derivative of z(x) wrt x?
132
Let k(m) be the third derivative of 937*m**6/120 + 2*m**5/15 - 17*m**4/12 + 640*m**2. What is the third derivative of k(p) wrt p?
5622
Let n(k) = -77*k + 37. Let r(w) be the third derivative of w**3/3 - 3*w**2 + 18*w. Let q(b) = n(b) + 2*r(b). What is the derivative of q(u) wrt u?
-77
Let i(q) be the second derivative of -6923*q**6/30 + q**3/3 + 215*q**2 + 60*q. Find the second derivative of i(b) wrt b.
-83076*b**2
Suppose -17 = -3*b + 1. Suppose 4*d - b = -4*t + 10, -3*t = -3*d. Find the third derivative of -5*s**5 + 6*s**5 + 3*s**4 - 16*s**d - 3*s**4 wrt s.
60*s**2
Let z(d) be the first derivative of -26*d**2 + 0*d**4 - 3*d**3 + d + 1/5*d**5 + 121. Find the second derivative of z(u) wrt u.
12*u**2 - 18
Let u(a) = 1089*a**2 + 3216*a - 9. Let l(o) = 3268*o**2 + 9643*o - 30. Let r(d) = 3*l(d) - 10*u(d). Find the second derivative of r(v) wrt v.
-2172
Suppose 2*p + 3*j - 69 = 0, -p + 3*j + 37 = 7*j. Suppose 12 = 15*f - p. What is the third derivative of -1231*r + 2*r**2 + 1231*r + 13*r**f wrt r?
78
Let l(p) be the first derivative of -3/2*p**2 - 8 - 3*p + 5/3*p**3. Find the second derivative of l(j) wrt j.
10
Let g(y) be the first derivative of -3*y**4/4 + 63*y**2/2 + 116*y - 4118. Differentiate g(b) with respect to b.
-9*b**2 + 63
What is the third derivative of -27 + 64 + 866*y**4 + 603*y**2 + 142*y**3 - 30 - 142*y**3 wrt y?
20784*y
Let b(r) be the second derivative of -3*r**5/4 + r**4/24 - 41*r**3/3 - 11*r**2 - 40*r. Let h(p) be the first derivative of b(p). Differentiate h(v) wrt v.
-90*v + 1
Let c(h) be the second derivative of -836*h**4/3 + 1416*h**2 + 2414*h. What is the first derivative of c(d) wrt d?
-6688*d
Let z(g) = 346*g**5 + 4*g**2 - 106*g + 4. Let f(b) = -b**2 + b - 1. Let r = -310 + 314. Let v(p) = r*f(p) + z(p). Find the second derivative of v(y) wrt y.
6920*y**3
Let h(p) be the first derivative of -3*p**6/2 + 8*p**5 - p**4/2 + 4*p**3/3 + 287*p**2 + 2966. Find the third derivative of h(a) wrt a.
-540*a**2 + 960*a - 12
Let z(t) be the second derivative of -611*t**4/6 + 298*t**3 - 2*t + 567. Find the second derivative of z(m) wrt m.
-2444
Let k(v) be the third derivative of -1737*v**5/20 - v**4/24 - 159*v**3/2 + 6*v**2 + 39*v. Find the second derivative of k(d) wrt d.
-10422
Let a be (-71)/(-1 - (-3 + 3)) - 4. Find the second derivative of -54 - 2*b**2 + 18*b**3 - b**2 + a + 2*b**3 - 10*b + 7*b wrt b.
120*b - 6
Let f(x) be the third derivative of -163*x**8/56 + 121*x**5/20 - 31*x**2 - 2*x. Find the third derivative of f(g) wrt g.
-58680*g**2
Let g(f) be the second derivative of -7/6*f**4 + 2*f + 9 + 0*f**6 - 13/20*f**5 + 1/21*f**7 + 0*f**3 + 0*f**2. Find the third derivative of g(p) wrt p.
120*p**2 - 78
Let b(g) be the first derivative of -1309*g**6/6 + 243*g**3 - 319. What is the third derivative of b(k) wrt k?
-78540*k**2
What is the first derivative of 211*i + 1411*i - 316 + 2107*i wrt i?
3729
Suppose -11*h + 47 + 481 = 0. Find the third derivative of h*i**4 + 28*i**3 + 39*i**2 + 70*i**4 - 30*i**4 - 12*i**2 - 27*i**3 wrt i.
2112*i + 6
Let c = -110 - -100. Let u be (-16)/c - (-8)/20. What is the third derivative of 9*n**5 + 69*n**2 - 59*n**u + 0*n**5 wrt n?
540*n**2
Find the second derivative of -1456*t**2 - 604*t**3 - 8 + 9814*t + 8 + 1460*t**2 - 467*t**3 wrt t.
-6426*t + 8
Suppose -2*x = 11 - 15. Suppose -3*t + 9 = 0, 0*y - 80 = -2*y - x*t. Find the third derivative of 22*r**6 + 14*r**6 + 19*r**2 - y*r**6 wrt r.
-120*r**3
Differentiate 414 - 1159 + 2541*f + 585*f wrt f.
3126
Let h(k) be the second derivative of 97*k**6/10 + k**5/20 + 114*k**4 - 5*k + 82. Find the third derivative of h(v) wrt v.
6984*v + 6
Let z(x) be the first derivative of 40*x**7/7 + x**6/2 - 3*x**4/4 - x**3/3 - 313*x**2/2 + 2*x + 1028. Find the third derivative of z(g) wrt g.
4800*g**3 + 180*g**2 - 18
Differentiate -51 - 363*o + 13 - 88 + 33 - 58 with respect to o.
-363
Let x = -803 - -809. What is the third derivative of 27*b**x + 41*b**2 + 4473*b**4 - 4477*b**4 + 4*b + 0*b**2 wrt b?
3240*b**3 - 96*b
Let n(t) = 94*t + 81. Let g(c) be the first derivative of -185*c**2/2 - 161*c - 102. Let u(p) = -2*g(p) - 5*n(p). Find the first derivative of u(q) wrt q.
-100
Let b(v) = -9339*v**3 - 15*v**2 + 3580*v - 20. Let j(d) = 2*d**3 + 3*d**2 + 4. Let g(t) = b(t) + 5*j(t). What is the second derivative of g(c) wrt c?
-55974*c
Suppose -33*b + 407 = -22*b. What is the derivative of 35*k**2 + 158 - 64*k**2 + b*k**2 wrt k?
16*k
Suppose 210 = 5*q + 650. Let b = 113 + q. Differentiate -22*t**2 - b + 9*t**2 + 26*t**2 wrt t.
26*t
Let w(a) = 104*a**4 + 3*a**2 + 3347. Let f(o) = 26*o**4 + o**2 + 837. Let l(i) = 9*f(i) - 2*w(i). Differentiate l(y) with respect to y.
104*y**3 + 6*y
What is the third derivative of -2389*w + 4 - 330*w**5 - 350*w**5 + 256*w**2 + 642*w**2 + 2387*w - 6 wrt w?
-40800*w**2
Let f(a) be the second derivative of -a**8 - 5*a**7/21 + a**6/30 + 47*a**4/6 - 17*a**3/6 + a**2/2 + 8138*a. What is the third derivative of f(y) wrt y?
-6720*y**3 - 600*y**2 + 24*y
Let v(q) = -13*q**5 + 15*q**3 - 2376*q**2. Let u(a) = 13*a**5 - 16*a**3 + 2377*a**2. Let l(m) = 3*u(m) + 4*v(m). What is the third derivative of l(y) wrt y?
-780*y**2 + 72
Let x(b) = 1895*b**3 - 3*b**2 + 20*b + 276. Let z(a) = 5685*a**3 - 8*a**2 + 56*a + 827. Let d(m) = 14*x(m) - 5*z(m). Find the third derivative of d(u) wrt u.
-11370
Let c(g) be the second derivative of 23*g**7/42 - 7*g**6/10 - 5*g**4/6 + 13*g**2 - 581*g. What is the third derivative of c(i) wrt i?
1380*i**2 - 504*i
Suppose 8*h - 35 - 125 = 0. What is the third derivative of 10*m**3 + 2*m**6 + h*m**2 + m**3 + 38*m**2 wrt m?
240*m**3 + 66
Let r(p) = -62*p**2 - 61*p**2 - 227*p**3 + 34 + 114*p**2 - 9*p. Let d(f) = -113*f**3 - 4*f**2 - 4*f + 16. Let u(j) = -9*d(j) + 4*r(j). Differentiate u(x) wrt x.
327*x**2
Differentiate 812*m + 139*m + 179212 - 86329 - 84978 wrt m.
951
Let r(h) be the first derivative of 49 - 72/5*h**5 - 28*h**2 + 0*h + 0*h**4 + 0*h**3. What is the second derivative of r(w) wrt w?
-864*w**2
Find the second derivative of 12335*g - 3682*g**4 - 7976*g - 8778*g wrt g.
-44184*g**2
Find the second derivative of -7860*j**4 + 7860*j**4 + 299 + 380 - 5485*j**5 - j wrt j.
-109700*j**3
Let q be (-1)/(-6 + 51/9). Find the third derivative of -w**4 + 114*w**3 + 39*w**2 - 4*w**4 - 120*w**q wrt w.
-120*w - 36
Differentiate 6 - 63 - 29 - 3566*