174/4 - 12/(-8). Find the third derivative of q*s**4 - 2*s**2 - 132*s**4 - 8*s**6 + 50*s**4 + 43*s**4 wrt s.
-960*s**3 + 144*s
Let z(h) be the first derivative of -259*h**4/4 - h**3/3 - 3225*h**2/2 - 332. What is the second derivative of z(p) wrt p?
-1554*p - 2
Let t = -1008 - -1010. Find the second derivative of 6*a**4 - 6*a**4 - 175*a**t + 2*a - 186 + 128*a**2 - 2*a**5 wrt a.
-40*a**3 - 94
Find the first derivative of 13*q**2 + 26*q - 16025 + 15541 + 34*q**2 wrt q.
94*q + 26
Let r(n) = -51*n + 2. Let z(k) = 117*k - 27. Let w(q) = -15*r(q) - z(q). Differentiate w(a) wrt a.
648
Let g(s) = -6*s + 140. Let t be g(23). Find the third derivative of -128*y**t - 3*y**3 + 10*y**3 + 79*y**3 - 2 - 22*y**3 wrt y.
384
Let f be 3 + -6 + 3/(6/80). Suppose -2*v - 3*y = -f, 0 = 4*v + y - 12 - 57. Differentiate -v*q**3 + 1 - 21*q**3 + 6 with respect to q.
-114*q**2
What is the second derivative of 26*z**3 + 17*z**3 - 993*z**4 - 43*z**3 - 311*z - 398*z wrt z?
-11916*z**2
Find the second derivative of 1135*k**4 - 6*k**2 + 0*k**2 + 688*k + 5*k**2 + k**2 wrt k.
13620*k**2
What is the third derivative of 20 + 372668*w**2 + 18*w - 372667*w**2 + w**4 + 104*w**3 + 15*w**3 wrt w?
24*w + 714
Let m(t) = 258*t**3 - 625*t**2 + 3*t. Let v(s) = 516*s**3 - 1249*s**2 + 7*s. Let o(d) = 7*m(d) - 3*v(d). What is the third derivative of o(h) wrt h?
1548
Let z(d) be the first derivative of 0*d**2 + 3/5*d**5 - 13/4*d**4 - 160 + 0*d**3 - 115*d. Find the first derivative of z(m) wrt m.
12*m**3 - 39*m**2
Let d(m) = -28*m + 28. Let h be d(-7). Find the third derivative of 0*z**2 - z - h*z**6 - 3*z**2 + 316*z**6 - 3*z wrt z.
11040*z**3
Let r(x) = -15*x**2 + 2*x - 79. Let s(t) = 31*t**2 - 4*t + 158. Let n = 108 - 112. Let m(f) = n*s(f) - 9*r(f). What is the first derivative of m(o) wrt o?
22*o - 2
Suppose -5*z + 13 + 1017 = -3*j, 3*z - 619 = 2*j. What is the derivative of -403*q**4 + z*q**4 + 164*q**4 - 88 wrt q?
-144*q**3
Let f(h) be the second derivative of -5/2*h**3 + 0*h**4 + 159/20*h**5 + 0 + 0*h**2 + 66*h. Find the second derivative of f(d) wrt d.
954*d
What is the second derivative of -51*f**2 + 95*f**3 + 6865 - 6858 + 209*f + 50*f**2 + 365*f wrt f?
570*f - 2
Let o = -57 - -27. Let f = 32 + o. Find the first derivative of 2*i**f + 5*i**2 + 6 + 4*i**2 wrt i.
22*i
Let l(y) be the second derivative of 0 - 10/3*y**3 + 0*y**6 - 17/7*y**7 + 0*y**4 + 65*y + 5/2*y**2 + 0*y**5. What is the second derivative of l(f) wrt f?
-2040*f**3
Let a be ((-1)/(-3))/((-3)/(-9)). What is the first derivative of 94*l - 1 + a + 1 wrt l?
94
Let y(q) = 340*q - 19605. Let m(u) = -27*u + 1508. Let p(a) = 40*m(a) + 3*y(a). What is the first derivative of p(o) wrt o?
-60
Suppose -225*x + 3708 = -223*x. Find the second derivative of -14*t - 1581*t**4 - 115*t + x*t**4 wrt t.
3276*t**2
Let j(f) be the first derivative of 132*f**5/5 - f**3 + 93*f**2 - 8*f + 3109. Find the second derivative of j(o) wrt o.
1584*o**2 - 6
Let z(f) = f**2 - 9*f + 22. Let p be z(5). Let a(w) = -2*w + 28. Let r be a(11). Find the third derivative of 6*d - 37*d**p - r*d - 3*d**5 + 19*d**5 wrt d.
960*d**2
What is the third derivative of -8*f**3 - 1404*f**4 + 648*f**2 + 7*f**3 + 372*f**2 - 75*f**2 wrt f?
-33696*f - 6
What is the derivative of -1049 - 1630 - 612 - 2761 + 7620*m - 1082 wrt m?
7620
Let o(p) = 398*p**2 + 1358*p - 2. Let m(b) = 397*b**2 + 1363*b - 3. Let z(j) = -3*m(j) + 4*o(j). What is the second derivative of z(l) wrt l?
802
Suppose 20*o - 221 = 39. Find the third derivative of -o*y**3 + 4*y**3 - 73*y**2 + 24*y**3 wrt y.
90
Let b(f) be the third derivative of 0*f + 14/3*f**3 + 59/210*f**7 - 1/15*f**5 + 0*f**4 + 11 - f**2 + 0*f**6. What is the third derivative of b(n) wrt n?
1416*n
Let c(q) be the third derivative of q**9/504 - q**8/336 + 9*q**5/10 - q**4/4 + 728*q**2. What is the third derivative of c(v) wrt v?
120*v**3 - 60*v**2
Let d(q) be the third derivative of 353*q**5/20 + 41*q**4/24 - 2*q**3/3 - 644*q**2. Find the second derivative of d(x) wrt x.
2118
Let k = -1706 + 1712. Let v(d) be the first derivative of -35/6*d**6 - 33 + 0*d**5 - k*d**2 + 0*d**4 + 0*d + 0*d**3. Find the second derivative of v(p) wrt p.
-700*p**3
Let y(j) = 1489*j**2 - 822*j - 19. Let p(h) = 1485*h**2 - 821*h - 17. Let n(v) = 9*p(v) - 8*y(v). Find the second derivative of n(x) wrt x.
2906
Let h(n) be the third derivative of 53/210*n**7 + 0*n**6 + 0*n**4 + 0*n**5 - 7*n**3 + 0 - 11*n**2 + 0*n. What is the derivative of h(p) wrt p?
212*p**3
Let i(b) be the third derivative of -137*b**7/210 - b**5/10 + 283*b**4/24 + 2*b**3/3 - 475*b**2. What is the second derivative of i(n) wrt n?
-1644*n**2 - 12
Let i(b) = -2*b. Let v = -13 + 15. Let o be ((-7)/((-21)/v))/((-2)/30). Let q(w) = 9. Let a(s) = o*i(s) + 2*q(s). What is the first derivative of a(u) wrt u?
20
Suppose -128*f + 146*f = 0. Let p(d) be the second derivative of 2*d**3 + 0*d**4 + f*d**2 + 0 + 38*d + 1/4*d**5. Find the second derivative of p(n) wrt n.
30*n
Let x(k) = k**4 + k**2 + k. Let q(s) = 70*s**4 - s**3 + 662*s**2 + 11*s. Let d(v) = -2*q(v) + 22*x(v). What is the third derivative of d(r) wrt r?
-2832*r + 12
Let r(u) be the first derivative of 113*u**4/4 - 371*u - 129. What is the first derivative of r(a) wrt a?
339*a**2
What is the third derivative of -13*k**2 + 140 - 181 - 972*k**5 + 71 wrt k?
-58320*k**2
Differentiate -203*x + 832*x + 5011*x + 629 + 1432 + 1083 wrt x.
5640
Find the third derivative of 334*n + 2*n**4 - 3354*n**6 - 333*n**2 + 330*n**2 + 2145*n**6 wrt n.
-145080*n**3 + 48*n
Let x(q) = -q**3 + 17*q**2 + q - 8. Let b be x(17). Suppose 15*a - b*a = 48. What is the third derivative of a*n**2 - 246*n - n**5 + 246*n wrt n?
-60*n**2
Let k be ((-210)/28)/((-6)/20). Let j = k + -12. What is the third derivative of d**6 + 18*d**6 - j*d**2 + 3*d**6 wrt d?
2640*d**3
What is the second derivative of 127*s**2 - 128 + 132507*s**3 - 132507*s**3 - 6*s - 4*s**4 wrt s?
-48*s**2 + 254
Suppose -l + 7 = 3*l + g, 0 = 2*l - 3*g - 21. Find the second derivative of 0 - 15*w + 22*w**l + 28*w**3 + 4 wrt w.
300*w
Let o(q) be the first derivative of -11*q**4/2 + q**3/3 - 167*q**2 - 354*q - 247. Let v(c) be the first derivative of o(c). Differentiate v(g) wrt g.
-132*g + 2
Suppose 20 = 9*o - 5*o. Let r(m) = m**2 - 6*m + 10. Let s be r(o). Find the second derivative of -y**5 + 5*y**5 + 4*y**5 - 2*y + s*y**5 wrt y.
260*y**3
Find the third derivative of z**4 - 1299*z**2 - 305*z**3 + 15866 - 15866 wrt z.
24*z - 1830
Let g(q) = -q - 8. Let d be g(-8). Suppose -8 = 4*o, -5*x + 4*o + o + 115 = d. Find the third derivative of 21*n**5 - 3*n**2 + x*n**5 - 15*n**5 - 7*n**2 wrt n.
1620*n**2
What is the third derivative of -11*x**2 + 37*x**5 - 229*x**5 + 17*x**3 - 17*x**3 - 586*x**2 wrt x?
-11520*x**2
Let w(u) be the first derivative of 0*u**3 + 0*u**4 - 46 + 38*u + 0*u**2 - 73/5*u**5. What is the first derivative of w(s) wrt s?
-292*s**3
Let k(w) = 415*w**3 - 11*w**2 - 4*w - 10. Let v(x) = 416*x**3 - 11*x**2 - 5*x - 8. Let o(a) = -4*k(a) + 5*v(a). Find the third derivative of o(f) wrt f.
2520
Let j(y) be the first derivative of -25*y**6/6 - 5*y**4/4 + 132*y**2 - 2*y - 351. What is the second derivative of j(u) wrt u?
-500*u**3 - 30*u
Let i(k) = -2*k**2 + 16*k. Let a be i(8). Suppose 2*b - 10*b + 280 = a. What is the first derivative of 6*j**4 + b - 24 - 23*j**4 wrt j?
-68*j**3
Let b(j) be the first derivative of -23/2*j**2 + 0*j - 6 + 0*j**4 + 6/5*j**5 + 0*j**3. What is the second derivative of b(d) wrt d?
72*d**2
Let p(h) = -2*h**3 + 15*h**2 - 12*h. Let o be p(7). Let x = o + 55. What is the derivative of -5 + x + 7 - 17*l**3 - 3*l**3 wrt l?
-60*l**2
Let y(z) = 9880*z**2 + 6283. Let f(j) = 1977*j**2 + 1257. Let k(l) = 14*f(l) - 3*y(l). Find the first derivative of k(b) wrt b.
-3924*b
Let o(s) be the third derivative of -109*s**5/12 + 107*s**3/3 - 5*s**2 - 66. Differentiate o(z) wrt z.
-1090*z
Suppose -3 = -5*a + 142. Let w be 4*112/(-64) - (-18)/2. What is the first derivative of 161 - 345 + 163 - a*z**w wrt z?
-58*z
Let n(z) = 36*z - 15. Let i(x) be the first derivative of x**2 - 2. Let y(f) = -9*i(f) + n(f). Find the first derivative of y(q) wrt q.
18
Let t(c) = -2*c - 19. Let u be t(-11). Let k(r) = 67*r + 111. Let o(j) = 135*j + 222. Let h(s) = u*o(s) - 5*k(s). What is the derivative of h(m) wrt m?
70
Let a(s)