et t(p) = 5*f(p) + 35*s(p). What is the first derivative of t(b) wrt b?
-15000*b**3
Let k(r) = -4021*r**3 + 2*r**2 + 37*r + 40. Let q(v) = 12065*v**3 - 6*v**2 - 90*v - 117. Let p(n) = 17*k(n) + 6*q(n). Find the second derivative of p(x) wrt x.
24198*x - 4
Find the second derivative of -868*s - 944716*s**4 + 944716*s**4 + 28*s**5 + 14*s**3 wrt s.
560*s**3 + 84*s
Let a(f) be the third derivative of -2*f**7/105 - 3*f**4/8 - 451*f**3/3 - 49*f**2 + 3. What is the derivative of a(c) wrt c?
-16*c**3 - 9
Find the first derivative of 1775*g + 60235*g**3 - 354 - 34 - 773 - 60234*g**3 wrt g.
3*g**2 + 1775
Let r(i) = -i**2 + 330*i - 1209. Let h(c) = 5*c**2 - 1320*c + 4845. Let t(b) = -6*h(b) - 25*r(b). What is the first derivative of t(u) wrt u?
-10*u - 330
Let c(i) = -29*i - 31. Let u(k) be the third derivative of -7*k**4/6 - 31*k**3/6 - 35*k**2. Let x(f) = -3*c(f) + 2*u(f). Differentiate x(p) with respect to p.
31
Let p(a) be the third derivative of -1285*a**8/336 + 5*a**4/6 - 23*a**3/6 - 433*a**2. Find the second derivative of p(l) wrt l.
-25700*l**3
Let s = -2 - -96. What is the first derivative of 137 + 39*w**2 - s - 89 wrt w?
78*w
Let w(z) be the second derivative of -253*z**6/30 + z**4/6 - 1463*z**3/6 - 1318*z. What is the second derivative of w(x) wrt x?
-3036*x**2 + 4
Let v(f) be the third derivative of 4174*f**7/105 - 83*f**4/12 + f**3/3 + 3587*f**2. Find the second derivative of v(m) wrt m.
100176*m**2
Let c(t) be the third derivative of 0*t**6 + 0*t + 1/3*t**3 - 181/210*t**7 + 2*t**2 + 11/8*t**4 + 0*t**5 + 46. What is the second derivative of c(g) wrt g?
-2172*g**2
Find the second derivative of -6*p**2 - 9*p**3 - 3*p**2 + 5*p**2 - 20*p**3 + 105*p - 6 + 3*p**5 + 7*p**3 wrt p.
60*p**3 - 132*p - 8
Let p(h) be the first derivative of 0*h**3 + 133/4*h**4 - 94*h + 201 + 0*h**2. Find the first derivative of p(u) wrt u.
399*u**2
What is the third derivative of -475*z + 473*z - 11*z**2 - 27 + 221*z**6 + 16 wrt z?
26520*z**3
Let m(g) be the third derivative of 327*g**5/5 - 1037*g**3/6 + 1939*g**2. Differentiate m(f) wrt f.
7848*f
Let c(s) be the first derivative of s**4 + 178*s**3/3 - s**2/2 - 450*s - 1457. Find the second derivative of c(y) wrt y.
24*y + 356
What is the third derivative of -974*l**3 + 360 - 1419 - 195*l**3 - l + 365*l**3 - 2*l**2 wrt l?
-4824
Suppose 0 = 4*d - 12, 14 = z + d + 2*d. Find the first derivative of -3*x**2 - 470*x + 3*x**4 + 470*x + 150 + 54*x**2 - z*x**4 wrt x.
-8*x**3 + 102*x
Suppose z = 3*z - 3*b - 6, 5*z + 3*b + 6 = 0. Suppose z = 4*m - 19 + 11. Find the third derivative of -8*a**2 + 0*a**5 + 8*a**m - a**5 - 14*a**2 wrt a.
-60*a**2
Let p(q) be the second derivative of 4*q**6/3 + 6*q**5/5 - q**4/6 + 5443*q**2/2 - 40*q - 5. Find the first derivative of p(l) wrt l.
160*l**3 + 72*l**2 - 4*l
Let c(g) be the second derivative of 12*g**3 + 0*g**6 + 0*g**5 + 0 + 0*g**2 + 0*g**4 + 11/6*g**7 + 91*g. What is the second derivative of c(b) wrt b?
1540*b**3
Let v(x) = 29*x + 16. Let r be (-889)/(-35) - 4/10. Let g = r - 26. Let d(z) = -1. Let b(n) = g*v(n) + d(n). What is the first derivative of b(f) wrt f?
-29
Let z(x) be the second derivative of 0 - 25*x + 0*x**2 + 11/2*x**4 + 5*x**3. Find the second derivative of z(w) wrt w.
132
Let g(z) be the second derivative of -13*z**5/20 - z**4/6 - 89*z**3/6 + 32*z - 4. What is the second derivative of g(t) wrt t?
-78*t - 4
Let g(i) be the second derivative of 21 + 1/15*i**6 + 5/6*i**3 - 22/3*i**4 + 0*i**5 + 13/2*i**2 + 4*i. Find the second derivative of g(c) wrt c.
24*c**2 - 176
Let t(d) be the second derivative of -d**6/10 + 5*d**3/2 - 652*d**2 - 3*d - 238. Find the first derivative of t(h) wrt h.
-12*h**3 + 15
Let t(h) be the second derivative of 1 - 37/3*h**3 - 171/2*h**2 + 70*h. Differentiate t(y) with respect to y.
-74
Let u(r) be the third derivative of 449*r**7/42 - 1814*r**3/3 + r**2 - 2*r - 163. What is the first derivative of u(n) wrt n?
8980*n**3
Let v(h) be the third derivative of 109*h**7/70 + h**5/60 - 1157*h**3/6 + 643*h**2. Differentiate v(j) with respect to j.
1308*j**3 + 2*j
Let x(t) be the first derivative of -494*t**7/7 + 67*t**3/3 - 1124. What is the third derivative of x(h) wrt h?
-59280*h**3
Let w be 4193/(-35) - (-1)/(-5). Let p be ((-2)/10)/(12/w). What is the derivative of 0 - 19 + 1 - p*c + 3*c wrt c?
1
Suppose j + 4*j = 5*z + 10, -4*j = 5*z + 1. Let l be (-4)/(-18) + 13/((-819)/(-112)). What is the derivative of -k**2 - j - 8*k**l + 3*k - 3*k wrt k?
-18*k
Let q be ((-4)/5)/(20/(-25) - -1). Let m(l) = -17*l - 52. Let o(x) = 8*x + 25. Let b(f) = q*m(f) - 10*o(f). Differentiate b(u) with respect to u.
-12
Let p(a) be the first derivative of 13*a**2/2 + 28*a + 23. Let d(c) = 23*c + 57. Let t(j) = 4*d(j) - 9*p(j). Find the first derivative of t(v) wrt v.
-25
Let t(k) be the second derivative of -53*k + 43/6*k**3 - 1/6*k**4 - 2 + 34*k**2. Differentiate t(x) with respect to x.
-4*x + 43
Let j(o) be the third derivative of -61*o**7/210 + 7*o**5/30 - 3*o**4/8 - o**3/2 - o**2 + 445*o. Find the second derivative of j(m) wrt m.
-732*m**2 + 28
Let m(i) be the first derivative of -26*i**6/3 + 31*i**4/4 - 2847*i**2/2 + 2872. Find the second derivative of m(q) wrt q.
-1040*q**3 + 186*q
Let y be -1 - (1/1)/(3/(-12)). Find the third derivative of 2*o**2 - 2*o**y + o**2 - 2*o - o**4 - o - 11*o wrt o.
-24*o - 12
Let a = -23 + 88. Suppose 5*f - 4*p + 10 = a, -33 = -3*f - 5*p. Differentiate 0*y - 12 + f*y - 4*y - 3*y wrt y.
4
Let w be (102/85)/(0 - 6/(-225)). What is the second derivative of -w + 75 - 258*t**2 - 4*t - 5 wrt t?
-516
Let k(x) be the third derivative of -3367*x**6/120 + 751*x**5/5 + 12*x**2 - 54. What is the third derivative of k(a) wrt a?
-20202
Let y be 2 - -1 - 0 - (-23 + 26). Differentiate -6*t**2 - 6*t**2 - 17 + 4*t - 3*t**2 + y wrt t.
-30*t + 4
Let s be 4*7/(-42)*(-30)/4. What is the second derivative of 121*a**s - a**4 - 25*a + 103*a**5 - 1 - 345*a**5 + 2*a**4 wrt a?
-2420*a**3 + 12*a**2
Let h(x) = -x**3 + 24*x - 5. Let w be h(-5). Let y(n) be the third derivative of 0*n - 5/6*n**3 + 17/24*n**4 + w - 6*n**2. Differentiate y(j) with respect to j.
17
Let u(k) be the first derivative of -17*k**5/10 - 19*k**3/6 - 49*k**2 + 32. Let c(j) be the second derivative of u(j). What is the derivative of c(l) wrt l?
-204*l
Let j(y) be the third derivative of -1/3*y**3 + 8*y**2 - 13/105*y**7 + 0*y + 0*y**6 + 0 + 11/20*y**5 + 0*y**4. What is the third derivative of j(d) wrt d?
-624*d
Let s(m) = 2*m**2 - 4*m. Let k be s(5). Suppose 0 = 10*q + 5*q - k. What is the third derivative of -q*v**2 + 20*v**2 - 29*v**4 + 27*v**2 wrt v?
-696*v
Let s(j) be the first derivative of -877*j**4/4 + j**2/2 + 724*j + 21. Find the second derivative of s(h) wrt h.
-5262*h
Let u(j) be the second derivative of -j**5/20 - 955*j**3/6 + 2395*j**2/2 - 145*j + 2. Find the first derivative of u(o) wrt o.
-3*o**2 - 955
Suppose 3*s - 7*r + 3*r = 134854, 4 = -4*r. Find the second derivative of -3*a**2 + 3 - 44991*a + s*a + 13*a**2 + 5*a**4 wrt a.
60*a**2 + 20
Let w(n) be the third derivative of -n**5/30 - 65*n**4/24 + 122*n**3/3 + 436*n**2. What is the derivative of w(q) wrt q?
-4*q - 65
Let l(h) = -7*h**3 + 19*h**2 + 526*h. Let b(z) = 6*z**3 - 19*z**2 - 528*z. Let n(a) = -3*b(a) - 2*l(a). What is the second derivative of n(q) wrt q?
-24*q + 38
What is the second derivative of -1 + 2*v**3 + 5*v**2 + 438*v + 5*v**2 + 0*v**2 + 7*v**2 - 18*v**2 wrt v?
12*v - 2
Differentiate 3449 + 1557*s**2 + 197 - 438*s**2 with respect to s.
2238*s
Let r(h) be the third derivative of 48*h + 3*h**2 - 1/8*h**4 + 1/60*h**5 + 0 + 3/2*h**3 + 0*h**6 + 32/105*h**7. What is the second derivative of r(a) wrt a?
768*a**2 + 2
Suppose 475 = -13*i - 292. Let p = 73 + i. What is the third derivative of 79*w + 5*w**2 - 2*w**2 - 79*w + p*w**6 wrt w?
1680*w**3
Let a be 4*(45/12 - 3). Suppose 2*u = a*u - 6. Find the first derivative of 22*z**3 + 6*z + 1 - u*z - 16 wrt z.
66*z**2
Find the third derivative of 21*w**5 - 176*w**3 + 5*w + 5*w**2 + 167*w**3 - 6*w**2 - 5*w + 686 wrt w.
1260*w**2 - 54
Suppose w - 2 = -4*j + 3*w, 5*j - w = 1. Find the third derivative of -4149*i + 37*i**5 + 4149*i + 0 + j + 132*i**2 - i**6 wrt i.
-120*i**3 + 2220*i**2
Let v be 350/(-1200)*26/(-7). Let w(k) be the third derivative of 0*k + 10*k**2 + 0 - v*k**4 - 8/3*k*