- 15. Let s be (-81)/(-4) - ((-3)/4)/v. What is the derivative of 3*t**2 - s + t**2 + 3*t**2 + 4*t**2 wrt t?
22*t
Let n(f) be the first derivative of -719*f**3/3 + f**2 + 2217*f + 204. Differentiate n(r) with respect to r.
-1438*r + 2
Suppose 0 = -f - 11*f + 24. Suppose -4*o = f*o - 180. Find the second derivative of -10*b - o*b + 193*b**3 - 201*b**3 wrt b.
-48*b
Let h(d) be the third derivative of -62*d**2 + 0*d**3 - 7/60*d**5 + 0 + 0*d**6 + 0*d + 0*d**4 + 4/21*d**7. Find the third derivative of h(v) wrt v.
960*v
Let j(s) be the second derivative of 315*s**3/2 - 4969*s**2/2 + 155*s - 4. What is the first derivative of j(f) wrt f?
945
Find the second derivative of -754*f - 129*f**2 + 427*f**2 + 1092*f**2 + 1 wrt f.
2780
What is the derivative of b + 3*b**2 + 852 - 58*b**3 - 531 - 465*b**3 wrt b?
-1569*b**2 + 6*b + 1
Let a = -85 + 87. What is the derivative of -18 - 7*h**3 + 4*h**3 + a*h**3 wrt h?
-3*h**2
Let b(l) be the third derivative of -l**5/2 + 19*l**4/24 - 2336*l**3/3 + 3286*l**2. Find the first derivative of b(g) wrt g.
-60*g + 19
Suppose 5*v - 21 = 2*v + 5*m, -4*v - m = -5. What is the second derivative of 5*w + 95*w**5 - 43*w - 22*w**5 - v - 2*w wrt w?
1460*w**3
Let v be 20/(-5) - (-162 + 1). Suppose 155*c - v*c + 10 = 0. What is the third derivative of 39*u**2 - 11*u**5 - u**3 + u**3 - 19*u**c wrt u?
-1800*u**2
Let h(m) = -2*m**4 + m**2 + m + 2. Let x(s) = -4*s**4 + 310*s**3 + 3*s**2 + 3*s - 903. Let g(b) = -3*h(b) + x(b). What is the first derivative of g(f) wrt f?
8*f**3 + 930*f**2
Suppose -2 = 2*h, -3*r + 1 = -3*h - 8. What is the third derivative of -w**6 + 49*w**3 + 27*w**2 - 59*w**2 - r*w + 2*w**6 - 33*w**2 - 10*w**3 wrt w?
120*w**3 + 234
Let v(p) = 267*p**4 - 3*p**3 - 2*p**2 - 571. Let b(x) = -268*x**4 + 5*x**3 + 3*x**2 + 573. Let q(t) = 2*b(t) + 3*v(t). What is the derivative of q(g) wrt g?
1060*g**3 + 3*g**2
Let w = -36 + 39. Suppose -2*i - w*h = -25, i + 3*i = -4*h + 52. What is the derivative of -4 - 8 - 35*f**2 + 2 - i wrt f?
-70*f
Let l = 785 - 705. Differentiate -23*u**2 + 56 + 11*u + 11*u**2 + l - 50 + 54 with respect to u.
-24*u + 11
Let z(o) be the second derivative of -5 + 17/6*o**3 + 5*o**4 + 0*o**2 - 3*o. What is the second derivative of z(v) wrt v?
120
Let x = -606 - -609. What is the third derivative of 3*b**3 - 575*b**5 - 296*b**2 - x*b**3 + 572*b**5 wrt b?
-180*b**2
Let u(r) = -r**3 + 52*r**2 + 14*r + 96. Let k = 642 - 646. Let v(g) = -27*g**2 - 8*g - 48. Let l(s) = k*u(s) - 7*v(s). Find the first derivative of l(n) wrt n.
12*n**2 - 38*n
Let u(x) be the first derivative of 1177*x**4/4 + 382*x**2 + x + 373. What is the second derivative of u(s) wrt s?
7062*s
Differentiate 869 + 776 + 268 - 334 - 578*l wrt l.
-578
Let y be ((-4)/(-4))/(14/4 + -3). Find the third derivative of b**3 + 0*b**2 - 8*b**y + 18*b**2 - 24*b**4 wrt b.
-576*b + 6
Let b(t) be the second derivative of 0*t**7 + 0*t**5 + 0 + 0*t**3 - 192*t + 41/6*t**4 + 1/56*t**8 + 0*t**6 + 0*t**2. Find the third derivative of b(p) wrt p.
120*p**3
Suppose -4*h + 9 = 57. Let x be (h/(-10))/(9/15). What is the second derivative of 4*k**x - 2*k**4 - 83*k + 67*k - 4*k**2 wrt k?
-24*k**2
Let o(w) be the second derivative of -1/20*w**5 - 13 + 0*w**4 - 3*w - 3/2*w**3 - 51/2*w**2. Differentiate o(k) wrt k.
-3*k**2 - 9
Let q(d) = -4180*d - 6595. Let g(i) = -1400*i - 2198. Let w(k) = 10*g(k) - 3*q(k). What is the first derivative of w(h) wrt h?
-1460
Let k = 2741 - 2741. Let i(g) be the third derivative of -7/12*g**4 + k*g - 16*g**2 + 2*g**3 + 0. Differentiate i(l) wrt l.
-14
Let h(d) be the third derivative of -d**8/336 - 97*d**7/105 - d**5/60 + 3499*d**4/24 + 5*d**2 + 9*d + 2. What is the second derivative of h(x) wrt x?
-20*x**3 - 2328*x**2 - 2
Let p = 46809 + -46758. Let r(o) be the second derivative of 0 + 41/6*o**3 - 39/2*o**2 - p*o. What is the first derivative of r(l) wrt l?
41
Suppose 1868 = 24*n - 76. Find the second derivative of -4*z**3 - 2*z - 3*z**4 - 97 + 6*z**3 + n wrt z.
-36*z**2 + 12*z
Let z be ((-8)/20)/((-27)/(-15) - 2). Let f be z/(0 - (-4)/10). What is the second derivative of 14*n + 8*n - 16*n**5 + n - 5*n**f wrt n?
-420*n**3
Find the third derivative of -1217*z**3 - 1693*z**3 - 936*z**3 + 994*z**2 + 293*z**3 + 495*z**3 wrt z.
-18348
Let c(u) be the third derivative of 3*u**8/56 - 17*u**5/60 + u**4/12 - 125*u**3/6 + 53*u**2. What is the second derivative of c(m) wrt m?
360*m**3 - 34
Find the second derivative of 1494*f**2 + 141 + 165 + 643*f - 303 + 1445*f**2 wrt f.
5878
Let z(k) be the third derivative of 1487*k**6/60 + 1469*k**5/30 + 1938*k**2. What is the third derivative of z(p) wrt p?
17844
Suppose -77 = -4*i - 69. Find the second derivative of -37*u - 7*u**i + 28*u + 5 + 16*u**2 wrt u.
18
Let r(y) be the first derivative of -8/7*y**7 + 0*y**5 - 14 + 0*y + 0*y**2 + 0*y**6 + 0*y**4 + 4/3*y**3. Find the third derivative of r(m) wrt m.
-960*m**3
Suppose -5*z - 317 = -10*o + 8*o, -4*o + 658 = -2*z. Let m = o - 143. What is the second derivative of 18*v - m*v + 19*v**5 - 21*v wrt v?
380*v**3
Let v(l) be the third derivative of 43*l**6/120 - 5*l**4/24 + 1915*l**3/3 + 832*l**2. Find the first derivative of v(z) wrt z.
129*z**2 - 5
Let m be (-9)/(54/28)*-3. Let g be 32/m + (-8)/28. What is the third derivative of 9*l**4 + 10*l**g + 443 - 443 wrt l?
216*l
Let z = -198 + 233. Differentiate 38*s + 28 - z*s - 19*s with respect to s.
-16
Let f(y) be the third derivative of -y**6/360 - y**5/120 - 35*y**4/12 + 5*y**3/2 - 54*y**2. Let z(b) be the first derivative of f(b). Differentiate z(x) wrt x.
-2*x - 1
Suppose 47 = -2*v + 3*v. Let u = 100 - v. Find the third derivative of -53*t**5 + 17*t**2 + 4*t**6 + u*t**5 wrt t.
480*t**3
Find the third derivative of -d**5 - 140*d + 147*d + 1800*d**3 + d**5 - 1410*d**3 - 2*d**6 - 2*d**4 - 29*d**2 wrt d.
-240*d**3 - 48*d + 2340
Suppose 0 = -5*l - q + 13 - 0, -17 = -4*l - 3*q. Find the first derivative of 14*v**3 - 102 + 0*v + 255*v**l + 7 - 252*v**2 + 0*v wrt v.
42*v**2 + 6*v
Suppose -2*x - 10 - 6 = 0. Let b(w) = -w**2 - 8*w + 2. Let s be b(x). What is the second derivative of -19*k + 4*k**2 + 20*k**s + 7*k wrt k?
48
Suppose -13*w - 3*d = -11*w - 41, 2*d = -6. What is the third derivative of -w*i**3 + 3251*i**2 - 2*i + 110*i**3 + 18*i**3 - 3257*i**2 wrt i?
618
Let g(f) be the second derivative of 473*f**7/3 - 3019*f**3/6 - f**2 - 3407*f. Find the second derivative of g(o) wrt o.
132440*o**3
Find the first derivative of 1977 + 1286 - 4137 + 15030*u**3 - 4591 wrt u.
45090*u**2
Let w(m) = 2842*m**5 + 4*m**4 + 2*m**2 + 1420*m - 8. Let h(b) = -2*b**5 - b**4 - b**2 + 2. Let l(a) = -4*h(a) - w(a). Find the third derivative of l(r) wrt r.
-170040*r**2
What is the second derivative of 347*j**2 + 375*j + 630*j**2 - 92*j**2 - 100*j**2 wrt j?
1570
What is the second derivative of -257264*n**4 + 257243*n**4 - 21*n**5 - 3 + 7 + 6*n wrt n?
-420*n**3 - 252*n**2
Differentiate -1851*g**2 - 87 - 1189*g**2 + 2115*g**2 - 390 wrt g.
-1850*g
Suppose 4*s - 13 = -3*v, -s - 8*v = -6*v - 2. Differentiate -62*p**s - 42*p**3 - 26 + 132*p**4 - 71*p**4 wrt p.
-4*p**3 - 126*p**2
Let i(a) be the third derivative of -159*a**6/40 - a**5/12 - 61*a**3/2 - 12*a**2 - 3*a - 1. Find the third derivative of i(v) wrt v.
-2862
Suppose -16 = -4*l - 4*d, 3*l + 2*d + 4 = 14. Let k be (-2 - (l + -8)) + -1. Find the third derivative of 0*r**3 + 23*r**k + 4*r - 4*r + 35*r**2 wrt r.
138
Suppose 62 = v + v + 4*m, 94 = 4*v + 2*m. What is the second derivative of 1125*j**3 - 9 - 1125*j**3 + j - v*j**5 wrt j?
-420*j**3
Let v(c) be the second derivative of -1/6*c**3 + 3/5*c**5 - 1/30*c**6 - 14*c**2 + 2*c + 0*c**4 + 0. What is the second derivative of v(u) wrt u?
-12*u**2 + 72*u
Let l be 4728/152 + (-2)/19. Find the second derivative of 176*y - 5*y**5 - l + 40 - 7*y**4 - 11 wrt y.
-100*y**3 - 84*y**2
Suppose 28 = -125*k + 129*k. Find the first derivative of -6 + 8 - 6*l**2 + k*l**2 - 3*l**2 - 49*l**4 wrt l.
-196*l**3 - 4*l
Let q(r) = -2139*r + 865. Let l(v) = 4281*v - 1733. Let p(f) = -2*l(f) - 5*q(f). Differentiate p(d) wrt d.
2133
Let y(f) be the first derivative of f**6/3 + 427*f**4/4 + 1097*f**3 - 212. What is the third derivative of y(m) wrt m?
120*m**2 + 2562
Suppose -2*u + u = 67. Let r = 85 + u. Differentiate -18*f**2 + 13*f**4 - 26*f**4 + r*f**2 - 11 with respec