
-684
Let o(s) be the first derivative of 11*s**6/15 + s**4/12 + 5*s**2 + 32*s + 20. Let x(t) be the first derivative of o(t). Differentiate x(n) with respect to n.
88*n**3 + 2*n
Let b(p) = 1087*p - 476. Let k(t) = 2*t + 1. Let i(g) = b(g) - 3*k(g). What is the first derivative of i(h) wrt h?
1081
Differentiate -51*g**2 - 187*g**2 + 1296 - 147*g**2 + 63*g**2 with respect to g.
-644*g
Find the second derivative of 750*a + 220*a + 170*a**2 - 169*a**2 + 731*a**2 wrt a.
1464
Suppose 0 = 4*a + 2*k - 66, -12 = a - 2*a + k. Let c be (6/a)/((-1)/(-5)). Differentiate 2*q**4 - 6 - 4*q**c + 4*q**2 + 4*q**4 wrt q.
24*q**3
Suppose -4*a = -2*p - 7478, 0 = -2*a + p + 3*p + 3736. Find the second derivative of -a*d**2 + 1869*d**2 - 49*d**4 + 84*d + 92*d wrt d.
-588*d**2 - 2
Let q(f) be the second derivative of f**6/15 - 183*f**5/10 + 58*f**3/3 - f**2 - 822*f. Find the second derivative of q(c) wrt c.
24*c**2 - 2196*c
Differentiate -4601*r + 263 + 5448*r + 784 wrt r.
847
Let s(l) be the second derivative of -3*l**7/14 + 37*l**6/15 + 121*l**3/3 - 1186*l. What is the second derivative of s(i) wrt i?
-180*i**3 + 888*i**2
What is the derivative of -289*j + 3*j**2 + 2204 - 3030 + 2231 wrt j?
6*j - 289
Let k(f) = -387*f**2 - 457*f + 5. Let w = -337 - -342. Let y(c) = 193*c**2 + 229*c - 3. Let u(s) = w*y(s) + 3*k(s). Find the second derivative of u(g) wrt g.
-392
Let b(l) be the second derivative of -1/10*l**5 + 0*l**2 - 6*l + 3 + l**3 - 1/5*l**6 - 2/3*l**4. Find the third derivative of b(g) wrt g.
-144*g - 12
Suppose -5 = 5*y - 20. Let o be (86/3 - 0/(-2))*y. Differentiate -o - 19*f + 38 + 25 with respect to f.
-19
Suppose 9*s = 3*s + 78. Suppose 3*d - z = -0*d + s, 2*d + 4*z = -10. What is the second derivative of -3*l + 4*l - 4*l - 17*l**3 + 2*l**d wrt l?
-90*l
Let g(f) = 20*f**3 + 1318*f**2 + 10*f + 880. Let o(z) = -6*z**3 - 440*z**2 - 3*z - 294. Let h(k) = 2*g(k) + 7*o(k). Find the second derivative of h(b) wrt b.
-12*b - 888
Suppose 13*r = 11*r - 26. Let u(s) = 4*s + 55. Let h be u(r). Find the third derivative of -3*z**4 - 10*z**2 + 42*z**5 - 41*z**5 + h*z**4 wrt z.
60*z**2
Find the second derivative of -680*v + 4270*v**2 + 364649 - 364649 wrt v.
8540
Let g(q) = -q**3 + 6*q**2 + 3. Let c be g(6). Find the third derivative of 23*r**4 + 1242*r + 178*r**2 - 72*r**2 - 1242*r + r**c wrt r.
552*r + 6
Let n = 3 - -1. What is the third derivative of -59*p**2 - 62*p**4 + 6*p**5 - n*p**5 + 0*p**5 + 2*p**4 wrt p?
120*p**2 - 1440*p
Let i(l) be the third derivative of 0*l - 19*l**2 + 0*l**4 + 0*l**6 + 11/15*l**5 + 0*l**3 + 0 - 11/70*l**7. Find the third derivative of i(z) wrt z.
-792*z
Let v(u) be the third derivative of -1859*u**5/30 + 25*u**4/8 - u**3/2 - 6200*u**2. What is the second derivative of v(z) wrt z?
-7436
Suppose -2*t = -5*x + 20, 17*x = 13*x + 5*t - 1. What is the third derivative of 3*y**3 - 6*y**3 + 575*y**6 - 533*y**x + 50*y**2 wrt y?
5040*y**3 - 18
Let h(b) = 2090*b**2 + 4*b - 29712. Let t(w) = 5223*w**2 + 8*w - 74281. Let j(q) = -12*h(q) + 5*t(q). Differentiate j(m) with respect to m.
2070*m - 8
Let s(g) be the second derivative of -23*g**6/180 + 5*g**5/6 - 79*g**4/12 + 2*g + 51. Let l(t) be the third derivative of s(t). Differentiate l(f) wrt f.
-92
Let b(o) = 3086*o - 346. Let m(f) = -772*f + 87. Let r(w) = -6*b(w) - 25*m(w). What is the derivative of r(x) wrt x?
784
Let o(t) be the third derivative of 133*t**6/24 - 1963*t**4/24 - 5*t**2 + 93. What is the second derivative of o(x) wrt x?
3990*x
What is the first derivative of -17306 + 2*p - 6*p**2 + 29520 + 2*p**2 + 215*p**3 - 20670 wrt p?
645*p**2 - 8*p + 2
Let m(w) = -4683*w**4 + 13*w**2 + 29*w + 40. Let i(n) = 2*n**4 + n**2 + 3*n + 1. Let x(c) = -9*i(c) + m(c). What is the third derivative of x(z) wrt z?
-112824*z
Let a(t) be the first derivative of 4*t**2 + 9 + 19*t - 2*t**3 - 6*t - 16*t. Let n(p) be the first derivative of a(p). What is the derivative of n(b) wrt b?
-12
Let k(u) be the first derivative of 5*u**4/4 + 946*u**3/3 - 627*u**2/2 + 8364. Find the second derivative of k(r) wrt r.
30*r + 1892
Let w(x) be the second derivative of 237*x**6/10 - 2567*x**4/12 + 1129*x. Find the third derivative of w(v) wrt v.
17064*v
Suppose -4*v + 0 + 52 = 0. Suppose 2*p - 13 - v = -4*k, -21 = -3*k - 2*p. Find the third derivative of -k*z**3 - 468 - 15*z**2 + 468 wrt z.
-30
Let y(z) be the first derivative of -7*z**4/6 + z**3/6 - 101*z**2/2 + 7*z - 45. Let c(v) be the first derivative of y(v). Differentiate c(g) with respect to g.
-28*g + 1
Find the second derivative of -5491*p**4 - 403734*p - 4662*p**4 + 403731*p - 194 wrt p.
-121836*p**2
Suppose 68 = 14*u + 26. Find the second derivative of 16*x - 9*x**3 + 13*x - 7*x**2 - 15*x - u wrt x.
-54*x - 14
Let z(x) be the first derivative of 2281*x**7/7 - 869*x**3/3 - 2520. Find the third derivative of z(s) wrt s.
273720*s**3
Let t be 1/1*2 + 92 + 0. Find the first derivative of 427*h + t - 834*h + 457*h wrt h.
50
Let w(k) be the second derivative of 0*k**5 + 2 + 37/42*k**7 + 0*k**6 + 4*k + 1/6*k**4 + 9/2*k**2 + 0*k**3. Find the third derivative of w(v) wrt v.
2220*v**2
Suppose 15 + 5 = 5*r. Let h be ((-11)/(-4))/((-2)/(-32)*r). Find the second derivative of 2000 + h*i**2 + 6*i - 2000 wrt i.
22
Let j(m) be the first derivative of 4*m**5/5 + 82*m**4 + 397*m**3/3 - 99. What is the third derivative of j(y) wrt y?
96*y + 1968
Let p(w) be the second derivative of 4779*w**5/20 + 2465*w**3/3 - 6236*w. Find the second derivative of p(n) wrt n.
28674*n
Let c(w) be the third derivative of -583*w**8/336 + w**7/210 + 19*w**5/60 - 23*w**3/3 + 7395*w**2. What is the third derivative of c(t) wrt t?
-34980*t**2 + 24*t
Suppose 3*l + 2*i - 436 = -2*l, -5*i + 166 = 2*l. What is the second derivative of 16*z**2 - 2913*z**5 + 37*z**2 + 2915*z**5 + l*z wrt z?
40*z**3 + 106
Let o = -2 - -5. Let a(l) be the first derivative of -5*l**2 - 76*l**3 + 37*l**3 + 22 + 37*l**o - 2. Find the second derivative of a(h) wrt h.
-12
Let v(i) = 629*i**3 - 1073*i**2 - 4*i + 4. Let d(j) = 630*j**3 - 1094*j**2 - 5*j + 5. Let k(a) = -4*d(a) + 5*v(a). What is the third derivative of k(q) wrt q?
3750
What is the first derivative of -1574*s - 4720*s - 1110 - 516*s + 5447 wrt s?
-6810
Let x(t) be the third derivative of -t**9/252 - 69*t**6/8 - 95*t**5/4 + 1797*t**2. What is the third derivative of x(p) wrt p?
-240*p**3 - 6210
Let s(q) = -3340*q**3 - 10*q**2 + 10*q - 82. Let a(m) = -3340*m**3 - 10*m**2 + 8*m - 84. Let o(f) = 5*a(f) - 4*s(f). What is the third derivative of o(u) wrt u?
-20040
Let j be 4/(-16) + 1/4. Suppose 0 = 2*g - 2, -r + j*r = 4*g - 9. What is the third derivative of -r + 5 - 16*k**2 - 15*k**3 + 5*k**3 wrt k?
-60
Find the third derivative of 572*d**3 + 1768*d**2 + 761*d**3 + 916*d**2 wrt d.
7998
Let i(c) = 20*c - 77. Let b(s) = 39*s - 155. Let q = 344 - 341. Let f(y) = q*b(y) - 7*i(y). Differentiate f(a) wrt a.
-23
Suppose 14*j - 5*j = 99. Differentiate 34*h**2 - 15*h**2 - 12*h**2 + 12*h - j*h**2 - 75 with respect to h.
-8*h + 12
Let p(d) = -3*d**4 - d**3 - 2*d**2 + 1. Let a(k) = 19*k**4 + k**3 - 439*k**2 - 2*k + 6. Let j(w) = -a(w) + 6*p(w). Find the third derivative of j(f) wrt f.
-888*f - 42
Suppose -4*h + 156 - 25 = 5*k, k - h = 19. What is the second derivative of 17322*q**2 - 17322*q**2 - k*q - 162*q**3 wrt q?
-972*q
Let x(o) be the second derivative of o**6/15 - 95*o**4/12 + 1969*o**2/2 + 2*o + 202. Find the first derivative of x(a) wrt a.
8*a**3 - 190*a
What is the second derivative of 1673*t + 16033*t**2 - 8017*t**2 - 2410*t**4 - 8016*t**2 + 120*t wrt t?
-28920*t**2
Let x(p) be the third derivative of 0*p**3 + 0*p**4 + 0*p**7 + 0 + 28*p**2 + 0*p**6 + 1/48*p**8 - 17/30*p**5 + 3*p. What is the third derivative of x(f) wrt f?
420*f**2
Let s(q) be the second derivative of q**7/21 + 179*q**6/30 + 49*q**3/3 - 3*q**2/2 - 5*q - 125. Find the second derivative of s(m) wrt m.
40*m**3 + 2148*m**2
Let v = -31431 - -31433. Let a(i) be the first derivative of -52*i + 2/3*i**3 + 32 + i**v. Differentiate a(l) wrt l.
4*l + 2
Find the third derivative of -790*c**3 - 3*c - 6*c + 39*c**3 - 376*c**3 - 5*c**2 wrt c.
-6762
Let l(d) be the second derivative of d**7/14 - 39*d**5/4 - d**3/6 + 23*d**2 + 744*d - 1. What is the second derivative of l(w) wrt w?
60*w**3 - 1170*w
Let s(x) be the third derivativ