 3*z - 180. Suppose -t - 3*w = 2*w - z, -3*t - 4*w = -21. What is the first derivative of -4 + 10*b - 6*b + 2*b + t wrt b?
6
Let x(r) = 4320*r**3 - 26*r**2 + 3*r - 11. Let h(l) = 2160*l**3 - 12*l**2 + 2*l - 3. Let v(g) = 13*h(g) - 6*x(g). Find the second derivative of v(q) wrt q.
12960*q
Let p(b) be the second derivative of -13/24*b**4 + 9/40*b**5 - 7*b + 0 - 4/3*b**3 + 0*b**2. Let q(f) be the second derivative of p(f). Differentiate q(h) wrt h.
27
Suppose 11 = 3*w - 5*k, -9*k + 13*k + 14 = 5*w. Find the third derivative of -w*h**4 - h**2 - 1 - 121*h**5 + 118*h**5 - 4*h**2 wrt h.
-180*h**2 - 48*h
What is the second derivative of 25 + 1604*i**2 + 3779*i**2 + 200*i**2 - 8626*i**2 - 13*i wrt i?
-6086
Let s(h) = -162*h**3 - 5*h**2 + 21*h + 4. Let b(a) = -4*a + 8 - 35 + a**3 + 26. Let g(w) = -4*b(w) - s(w). What is the third derivative of g(l) wrt l?
948
Suppose -10*l + 1498 = 448. Find the first derivative of l*c + 49 + 87 - 183*c wrt c.
-78
Let t(o) be the first derivative of 61*o**5/20 - 93*o**2/2 + 62*o - 102. Let x(b) be the first derivative of t(b). Differentiate x(g) wrt g.
183*g**2
Let s(n) = n**3 + 11*n**2 + 4*n - 14. Let g be 2/(-3) + (-56)/6. Let l be s(g). What is the second derivative of -27*q**3 - l*q**3 + 35*q + 106*q**3 wrt q?
198*q
What is the third derivative of 1932*c**2 + 2*c + 6*c**4 - 1540*c**2 - 24*c**3 - 5*c**3 - c - 2*c wrt c?
144*c - 174
Suppose -b + 2 - 9 = 5*r, 3*r = -2*b. Suppose 0 = b*f, -2*u - u + 33 = 3*f. Find the first derivative of -u*g**4 - 2*g**4 + 158 - 4*g**4 - 169 wrt g.
-68*g**3
Find the second derivative of -1781*s - 3*s**5 + 277*s + 29*s**5 - 115*s**4 - 17*s**5 wrt s.
180*s**3 - 1380*s**2
Find the third derivative of -5576*i**4 + 5576*i**4 + 2*i**6 + 4772*i**2 - i**6 - 1790*i**3 wrt i.
120*i**3 - 10740
Let x(a) = 413*a - 851. Let b(l) = 412*l - 848. Let k(c) = 3*b(c) - 2*x(c). What is the derivative of k(m) wrt m?
410
Let s(k) be the first derivative of -k**7/7 - 81*k**5/5 - 8048*k**3/3 + 934. What is the third derivative of s(f) wrt f?
-120*f**3 - 1944*f
Let c(k) be the third derivative of -1261*k**6/120 - 7*k**4/24 + 20*k**3/3 - 186*k**2. What is the second derivative of c(o) wrt o?
-7566*o
Suppose 51 = c + 2*c. Suppose -5*i - c = -3*f, 0*f + 2*f = -3*i + 5. Find the second derivative of -28*a**f + 28*a**4 + 26*a**5 + 23*a + 0*a**5 wrt a.
520*a**3
Find the second derivative of 4*b - 2 + 8*b - 2 + 13 - 2233*b**2 wrt b.
-4466
Let g(w) = w + 3. Let o be g(11). Suppose k = o - 3. Find the second derivative of 3*z + z**3 + 0*z**3 - 5*z + k*z**3 wrt z.
72*z
Let f be 2/3*(-243)/(-6). Find the second derivative of -4 - 2 + f*v - 23*v - 19*v**2 wrt v.
-38
Suppose -5*j + 2*z + 57 = 0, 4*j - 6*j + 26 = -4*z. Let d = 25 - j. What is the second derivative of d*y**3 - 8*y - 5*y + 14*y wrt y?
84*y
Let r(g) be the second derivative of 93/20*g**5 + 300*g + 0 + 17/3*g**4 + 0*g**2 + 0*g**3 + 1/15*g**6. Find the third derivative of r(s) wrt s.
48*s + 558
Differentiate -90*m**3 + 198*m**3 + m - 96*m**3 - 695 - 341 - 4*m wrt m.
36*m**2 - 3
What is the second derivative of -61912 + 61912 - 303*z**2 + 7891*z + 3*z**3 wrt z?
18*z - 606
Let w(f) be the first derivative of -5*f - 186 - f**2 + 33/5*f**5 + 0*f**3 + 0*f**4. What is the second derivative of w(n) wrt n?
396*n**2
Find the first derivative of 61*x + 377*x + 8 + 1010*x + 555*x wrt x.
2003
Let l be 90/(-40) - 1/(-4). Let p be (46/(-2))/(1/l). Find the second derivative of 13*i**3 + 46 - i - p wrt i.
78*i
Let q(g) = -12*g**4 + 5*g**3 + 5*g**2 + 730*g - 6025. Let h(m) = 6*m**4 - 2*m**3 - 2*m**2 - 365*m + 3014. Let r(o) = -5*h(o) - 2*q(o). Differentiate r(k) wrt k.
-24*k**3 + 365
Suppose 6*f = 12*f + 12. Let h(t) = 21*t**4 - 43*t**2. Let d(b) = 85*b**4 - 173*b**2. Let w(s) = f*d(s) + 9*h(s). Find the third derivative of w(z) wrt z.
456*z
What is the second derivative of 2925*p**2 - 1048*p**2 - 13615094*p + 13613593*p wrt p?
3754
Let c = -140 - -78. Let x = c - -64. What is the third derivative of -1856 + 1856 + 20*r**4 + 14*r**x wrt r?
480*r
Let z(j) be the second derivative of -16*j**6/5 + j**5/10 + 5*j**4/6 + 2*j + 205. What is the third derivative of z(t) wrt t?
-2304*t + 12
Let t(s) be the second derivative of 0 + 0*s**4 + 0*s**5 + 0*s**2 + 41/42*s**7 - 31/6*s**3 + 0*s**6 + 25*s. Find the second derivative of t(o) wrt o.
820*o**3
Suppose 40 = 2*n + 2*n. Suppose n = 2*u - 4. Find the second derivative of 16*r - 8*r + u*r + 6*r**3 wrt r.
36*r
Differentiate 104*c - 503*c - 397*c - 1206 + 225*c - 336 wrt c.
-571
Suppose -2*k - 5*w = k - 104, 5*k = -w + 188. Let x = 41 - k. Differentiate 8*v - 5 + 12 - 3 + x*v wrt v.
11
Let h(x) = -x**2 + 16*x - 21. Let q be h(6). What is the second derivative of 39*k + 38*k**3 - 100*k**3 + q*k wrt k?
-372*k
Let z(u) = -16*u + 148. Let w be z(9). What is the first derivative of 15 + 4*b**4 + b**4 - 137 + 6*b**2 + 0*b**w - 3*b**4 wrt b?
8*b**3 + 12*b
Let h(m) = -17*m + 241. Let i be h(12). Differentiate 71 + 30*p + 121 + 20*p - 8*p**2 + 2*p**2 - i*p wrt p.
-12*p + 13
Let m = -9878 - -9880. Let h(x) be the third derivative of -6*x**m + 0 + 0*x**4 - 13/2*x**3 + 0*x**5 - 1/40*x**6 + 0*x. Find the first derivative of h(r) wrt r.
-9*r**2
Find the third derivative of 1507*i**6 + 13*i**5 - 21*i**5 - 12*i**5 + 3*i - 104*i**2 + 20*i**5 wrt i.
180840*i**3
Let c(b) be the second derivative of 2*b**7/21 + b**5/20 + b**4/12 + 304*b**3 - b**2/2 + 3091*b. Find the second derivative of c(u) wrt u.
80*u**3 + 6*u + 2
Let b be (1 - 7/4)*40/(-15). What is the second derivative of -13*l + 0*l - 21*l**b + 3 + 5*l wrt l?
-42
Let p(o) = o**3 - 15*o**2 - 2*o + 37. Let h be p(15). Suppose 6 - 20 = -h*z. Find the third derivative of 23*b**2 - 73*b**2 + 38*b**z + 31*b**3 wrt b.
186
Let z be -2*7 + 2 - 4. Let w = z + 20. What is the first derivative of 3 + 203*u**w - 19 - 215*u**4 wrt u?
-48*u**3
Let v(x) = -1461*x**3 + 36*x**2 + 2537. Let k(h) = 4383*h**3 - 102*h**2 - 7612. Let r(u) = 6*k(u) + 17*v(u). Find the first derivative of r(s) wrt s.
4383*s**2
Let b(r) = -186*r**3 + 2*r**2 - 3*r + 1. Let l be b(1). Let m = -148 - l. Find the second derivative of 26*g + 33*g + 37*g - 90*g - m*g**2 wrt g.
-76
Let x(d) be the second derivative of 0 - 1/12*d**4 - 86/21*d**7 - 211/2*d**2 + 0*d**3 + 0*d**5 + 0*d**6 + 48*d. What is the third derivative of x(t) wrt t?
-10320*t**2
What is the second derivative of 224 - 426 + 133 + 1796*g**5 + 9*g wrt g?
35920*g**3
Let n(i) = 8*i - 7. Let l be n(5). Find the second derivative of -l*d - 19*d**2 + 7*d**2 - 20*d wrt d.
-24
Let w(n) = 28172*n**3 - 10*n**2 - 62*n + 8. Let q(l) = -9394*l**3 + 4*l**2 + 21*l - 2. Let g(a) = -7*q(a) - 2*w(a). What is the third derivative of g(f) wrt f?
56484
Let u be 824/5 + 2/10. Suppose -5*z + u = 5*t, 3*t - 4 = z + 83. What is the second derivative of 12*d + d - 22*d**2 + t*d**2 - 17*d**2 wrt d?
-18
Find the first derivative of -23695364*q**2 + 23695363*q**2 - 9942 + 6023*q + 4173*q wrt q.
-2*q + 10196
Suppose 2*q = 4*q - 8. Find the second derivative of 3*f - 1 + 48*f**2 + q*f + 8*f + 3*f wrt f.
96
What is the third derivative of -1122*y**2 - 29 + 29 - 2471*y**5 + 128*y**3 - 128*y**3 wrt y?
-148260*y**2
Let n(g) be the first derivative of 1 + g - 19/3*g**3 - 3/2*g**2. Find the second derivative of n(o) wrt o.
-38
Suppose d - 5*c = 17, -4*c + 2 = 14. Let x be ((-5)/(-15))/((-2)/(-24)). Differentiate 12*w**d - x + 12 - 9*w**2 wrt w.
6*w
Suppose -166*b = -318*b + 171*b - 893. Let s(q) be the second derivative of b*q + 0 + 25*q**2 + 29/12*q**4 + 0*q**3. Differentiate s(a) with respect to a.
58*a
Let c be 5/(-5) + 27 - 5. Differentiate 3 - 13*q - 2*q**2 + 127*q - c - 112 with respect to q.
-4*q + 114
Let k(i) = 2363*i**3 + 1345*i**2 - 5*i + 10. Let n(h) = -1181*h**3 - 666*h**2 + 2*h - 4. Let a(f) = 12*k(f) + 30*n(f). Find the third derivative of a(t) wrt t.
-42444
Let r(i) be the second derivative of 265*i**4/12 + i**3/2 + 1355*i**2/2 + 4997*i. Differentiate r(g) with respect to g.
530*g + 3
Let x(f) = -2*f**2 + 26*f + 6. Let q be x(13). Find the third derivative of 7*n**6 - 44*n**q + 2*n**4 - 1604*n + 1586*n + n**2 wrt n.
-4440*n**3 + 48*n
What is the second derivative of 9 - 15 + 27 - 1858*m**5 - 1518*m - 21 wrt m?
-37160*m**3
Let v(i) be the third derivative of -4*i**7/21 + i**6/15 + 1535*i**4/12 - 520*i**2.