 - 2
Let m(u) be the third derivative of -100*u**4/3 + 1223*u**3/3 + 64*u**2 + 9*u. Find the first derivative of m(s) wrt s.
-800
Let n be (0 - 8/(-5))/((-62)/(-155)). Find the third derivative of -7*w**3 - 4*w**3 - 3*w**2 + n*w**5 - w**4 + 3*w + 11*w**3 wrt w.
240*w**2 - 24*w
What is the third derivative of 5202 - 10405 - 3719*w**6 - 2*w**2 + 5201 - 98*w wrt w?
-446280*w**3
Let r(f) be the first derivative of 38*f - 75/2*f**2 + 43. Differentiate r(q) wrt q.
-75
Let l(n) be the third derivative of -7*n**4/24 + 7*n**3 + 6*n**2. Let p be l(5). What is the first derivative of 28*t**2 - p - 4 - 2 wrt t?
56*t
Let a(z) be the third derivative of 745*z**4/24 + 177*z**3 - 371*z**2. What is the first derivative of a(l) wrt l?
745
Find the third derivative of 722*t + 58*t**2 + 2*t**4 - 95*t**2 + 3692*t**5 + 35*t**2 - 2*t**4 wrt t.
221520*t**2
Let j = -49 - -43. Let y be 48/(-32)*8/j. What is the third derivative of -17*c**6 + 8*c**2 - 17*c**2 - 22*c**2 + 2*c**y wrt c?
-2040*c**3
Let r(g) be the second derivative of -2*g**7/7 - 11*g**6/6 + g**5/20 + 2111*g**4/12 - 17*g. Find the third derivative of r(j) wrt j.
-720*j**2 - 1320*j + 6
Let z(j) = -72*j**2 + 3*j + 28. Let u(w) = -113 + 2*w + 423*w**2 - 137*w**2 - w - 6*w - 6*w. Let q(o) = 6*u(o) + 22*z(o). What is the derivative of q(r) wrt r?
264*r
Suppose -1296 = -23*f + 11*f. What is the first derivative of 170*l - f - 113*l - 106*l wrt l?
-49
What is the third derivative of -64*i**4 - 195*i**6 - 370*i**2 - 1420*i**2 + 57*i**4 + 107*i**2 wrt i?
-23400*i**3 - 168*i
Let a(j) = -8331*j**2 - 8*j - 6761. Let w(o) = -8337*o**2 - 10*o - 6755. Let r(d) = -5*a(d) + 4*w(d). Find the first derivative of r(b) wrt b.
16614*b
Let q(j) be the first derivative of -2*j**5 - 80*j + 3 + 15*j**5 + 36. Differentiate q(a) with respect to a.
260*a**3
Suppose 3*z + 10 = -5*u + 24, 2*u - 2 = 0. Differentiate 145*q**3 - 45*q**z + 2*q**2 + 49 - 62*q**3 with respect to q.
114*q**2 + 4*q
Differentiate 137*p - 138*p - 89*p + 1204 wrt p.
-90
Let z(c) = 1206*c**3 + 447*c**2 + 12*c - 4. Let m(h) = 2412*h**3 + 893*h**2 + 27*h - 9. Let o(u) = -4*m(u) + 9*z(u). What is the third derivative of o(t) wrt t?
7236
Let d(s) be the first derivative of -23*s**6 + s**3 - s**2 + 3531*s - 3710. Find the second derivative of d(f) wrt f.
-2760*f**3 + 6
What is the second derivative of 564*x**2 + 571*x**2 - 36*x + 0 + 5*x**2 + 7 + 0*x**2 wrt x?
2280
What is the first derivative of 909*x**2 + 5735 + 629*x**2 - 1781*x**2 - x**4 wrt x?
-4*x**3 - 486*x
Let y(x) = 26*x**3 + 18*x**2 - 12*x + 3157. Let d(v) = 27*v**3 + 14*v**2 - 10*v + 3157. Let n(r) = 6*d(r) - 5*y(r). Find the first derivative of n(w) wrt w.
96*w**2 - 12*w
Let h(j) be the third derivative of 0*j + 41/120*j**6 - 25/12*j**5 - 1/210*j**7 + 0*j**3 + 0 - 66*j**2 + 0*j**4. Find the third derivative of h(r) wrt r.
-24*r + 246
What is the first derivative of -4*g**4 + 2347 - 451*g**3 - 25*g**3 + 7*g**4 - 609 + 61*g**3 wrt g?
12*g**3 - 1245*g**2
Let z be -3*2/(-3)*1. Suppose -z*x = 5*b - 21, -3*b - 6 = -3*x - 2*x. Differentiate 4*h**3 + 108 - 92 + 4*h**x with respect to h.
24*h**2
Let n(w) = 7527*w**3 + 8*w**2 + 84*w - 208. Let k(a) = 3764*a**3 + 3*a**2 + 36*a - 104. Let h(o) = -7*k(o) + 3*n(o). Find the third derivative of h(p) wrt p.
-22602
Let t(a) = -9*a**2 + 37*a + 8. Let j be t(4). What is the first derivative of j*i + 3*i - 136 - 7*i + 27*i wrt i?
35
Let a be 11 - -25 - 5/(5/(-6)). Find the third derivative of 102043*t**3 + 107*t**4 + 153*t**2 - a*t**4 - 102041*t**3 wrt t.
1560*t + 12
What is the third derivative of 162*y**6 + 1621*y**2 + 573*y**2 + 358*y**6 - 217*y**2 wrt y?
62400*y**3
Suppose 5*f + 23 + 142 = 0. Let x be 1/(0 + -3)*f. What is the second derivative of x*d - 2*d + 5*d + 0*d + 43*d**3 wrt d?
258*d
Let u be 0 + (-6)/((-132)/110). Let y(c) be the first derivative of 0*c**4 + 16/5*c**u + 0*c - 8 - 5*c**3 + 0*c**2. Find the third derivative of y(j) wrt j.
384*j
Find the second derivative of -3 - 14*o**3 - 2*o**5 - 17*o**3 - 11*o**2 + 18*o**3 - 14*o + 3*o**5 wrt o.
20*o**3 - 78*o - 22
Find the second derivative of -23*h + 82*h - 598235 + 598223 - 2502*h**5 + h**3 - h**3 wrt h.
-50040*h**3
Let b(v) = -v**3 - 3*v**2 + v - 1. Let a be b(2). Let n = a - -23. Find the second derivative of -4*y + 4*y**n - 4*y**4 + 2*y**4 + 3*y**4 wrt y.
60*y**2
Let d(p) be the second derivative of -1 + 1/20*p**5 - 7*p + 0*p**4 + 0*p**2 - 4/21*p**7 + 17/2*p**3 + 0*p**6. Find the second derivative of d(y) wrt y.
-160*y**3 + 6*y
Suppose -3*f + 11 = o, 5 = f + 2*o - 2. Let c be (-42)/4*f*4/(-6). What is the third derivative of 125*h**2 - 71*h**2 + c*h**6 - 70*h**2 wrt h?
2520*h**3
Let g(r) be the first derivative of -879*r**6/2 - 1576*r**3/3 + 871. Find the third derivative of g(y) wrt y.
-158220*y**2
Let b = 85 + -81. Suppose -2*c + b = -c. What is the third derivative of -12*h**4 + 4*h**2 + h**2 + 14*h**4 - 4*h**c wrt h?
-48*h
Let v = -395/4 + 299/3. Let o(g) be the second derivative of -14*g + 0*g**3 + v*g**4 + 0 - 7*g**2. Find the first derivative of o(x) wrt x.
22*x
Suppose 44 = -6*q + 176. Let j = 32 - q. What is the third derivative of j*y**2 + 0*y**5 - 12*y**2 + 21*y**5 - 13*y**2 wrt y?
1260*y**2
Let a(r) be the first derivative of -4*r**5/5 + 74*r**4 + 154*r**3 + 390. What is the third derivative of a(f) wrt f?
-96*f + 1776
Let c(y) be the third derivative of 627*y**5/20 + 663*y**3/2 - 22*y**2 + 54. Differentiate c(n) with respect to n.
3762*n
Let v(o) = -1722*o + 874. Let t(m) = 1723*m - 866. Let i(q) = -4*t(q) - 3*v(q). What is the derivative of i(s) wrt s?
-1726
Let v(l) be the first derivative of 2375*l**3/3 + 2265*l + 2505. Differentiate v(w) with respect to w.
4750*w
Let b(g) = -11746*g + 1857. Let k(j) = -3885*j + 619. Let x(u) = -4*b(u) + 14*k(u). Find the first derivative of x(a) wrt a.
-7406
Let z(n) = 2918*n**2 + 14*n + 1308. Let m(b) = -2915*b**2 - 12*b - 1307. Let y(s) = 7*m(s) + 6*z(s). Differentiate y(t) with respect to t.
-5794*t
Let z be 10 + (0 + -2 - -1). Let x(n) = n - 5. Let h be x(z). Differentiate 34 - 11 - 2 - 45*b**h wrt b.
-180*b**3
Let x(m) = -86*m**3 - 11*m + 3. Let j(y) = -87*y**3 - 12*y + 3. Let p = 294 + -300. Let c(a) = p*x(a) + 5*j(a). What is the second derivative of c(h) wrt h?
486*h
Let d be 21 - 9 - (2 - -5). What is the third derivative of -5*u + 14*u - 3*u + 12*u - d*u**2 - 145*u**3 wrt u?
-870
Let o(w) = -6192*w**2 + w - 982. Let k(x) = -6189*x**2 - 981. Let m(i) = -6*k(i) + 5*o(i). Find the second derivative of m(h) wrt h.
12348
Let j(k) = 4*k**3 - 3*k + 2. Let t be j(1). Suppose -5*u + 3*u = -6. What is the third derivative of -u*c**3 - 6*c**t - 3*c**2 + c**2 wrt c?
-54
Let c(u) be the second derivative of u**8/56 + 202*u**6/3 - 82*u**4 + 187*u - 7. Find the third derivative of c(h) wrt h.
120*h**3 + 48480*h
Let i(y) be the third derivative of y**6/60 - 247*y**5/15 - 224*y**3 + 2256*y**2. Differentiate i(f) with respect to f.
6*f**2 - 1976*f
Let v(t) = 85*t**2 + 5*t - 21. Let x(z) = 8*z + 32 - 128*z**2 - 32*z + 7*z + 9*z. Let d(n) = 8*v(n) + 5*x(n). What is the derivative of d(j) wrt j?
80*j
Let s(p) be the first derivative of -p**4/4 + 2*p**3/3 - 1318*p**2 - 10834*p - 4179. Differentiate s(l) wrt l.
-3*l**2 + 4*l - 2636
Let g(u) be the second derivative of u**7/42 + 3*u**6 + 3*u**5/20 - 2210*u**3/3 + 1743*u + 1. Find the second derivative of g(k) wrt k.
20*k**3 + 1080*k**2 + 18*k
What is the first derivative of 788 + 3459*h**4 - 635*h**4 + 1230 wrt h?
11296*h**3
Differentiate -4657 + 538 + 1129 + 2744*p**4 wrt p.
10976*p**3
Let k(p) = -p**3 - 3*p**2 + 5*p + 6. Let o be k(-4). Let m be 3/o*(-32)/(-24). What is the second derivative of 11*d + 14*d**m - 12*d + 3*d wrt d?
28
Suppose -11 + 4 = 7*k. Let b(d) = 15*d**2 - 2*d - 2. Let p be b(k). What is the third derivative of -p*l**4 - 7*l**2 + 7*l**4 - 3*l**4 wrt l?
-264*l
Suppose 4*g + 2 = -y + 6, 8 = -5*g + 2*y. Find the third derivative of -32 + 2*z**5 + 6 + g*z**2 - 46*z**3 - z**2 wrt z.
120*z**2 - 276
Find the third derivative of 3563*z**3 - 14*z**2 - 3563*z**3 + 341*z**5 + 39*z**2 + 404*z**5 wrt z.
44700*z**2
Let x(m) be the third derivative of 3*m**8/7 - 13*m**7/210 + 2375*m**4/24 + m**2 + 668. Find the second derivative of x(b) wrt b.
2880*b**3 - 156*b**2
Find the first derivative of -253 - 131*p - 2*p*