224
Let a(u) = -1268*u**3 + 12*u**2 + 12*u - 965. Let h(w) = -1267*w**3 + 10*w**2 + 10*w - 967. Let f(p) = -5*a(p) + 6*h(p). What is the derivative of f(q) wrt q?
-3786*q**2
Let o be 0 + -1 + 2 + -3. Let v be (12 + -13)*(o*5 + 1). Differentiate -v + 35*z**3 - 14*z**3 - 26 with respect to z.
63*z**2
Let c(a) be the second derivative of 0*a**2 + 0*a**5 + 1 + 11/14*a**7 - 49*a + 0*a**6 - 7/4*a**4 + 0*a**3. What is the third derivative of c(h) wrt h?
1980*h**2
Find the first derivative of x - 1884*x**2 - x + 1009730 - 996458 wrt x.
-3768*x
Suppose -3*p + 4 = -20. Suppose 132 = p*r + 12. What is the second derivative of -12*t**4 + t**4 - 18*t + r*t wrt t?
-132*t**2
Let s(j) be the first derivative of 0*j - 1/2*j**4 - 20*j**2 - 52 + 16*j**3. Find the second derivative of s(h) wrt h.
-12*h + 96
Let x(d) be the second derivative of -7*d**6/30 + 3*d**5/10 + 3*d**3/2 - 819*d**2 - 256*d - 2. What is the derivative of x(h) wrt h?
-28*h**3 + 18*h**2 + 9
What is the third derivative of 302*p - 1053*p + 5077*p**5 - p**2 + 4277*p + 56*p**5 wrt p?
307980*p**2
Suppose 8*p = 11*p + 5*u - 224, 5*p + 2*u - 367 = 0. Find the second derivative of 9*l**3 + l**3 - 43 + 2*l**2 + p*l + 43 wrt l.
60*l + 4
Let x(w) be the second derivative of -1863*w**5/10 + 8521*w**2/2 + 3444*w. Differentiate x(c) with respect to c.
-11178*c**2
Let g(a) be the first derivative of 0*a**4 + 0*a - 2 - 1/3*a**6 + 50*a**2 - 8*a**5 + 0*a**3. Find the second derivative of g(d) wrt d.
-40*d**3 - 480*d**2
Let q(w) = 1505*w**3 - 1447*w**2 - 17*w. Let u(l) = 502*l**3 - 482*l**2 - 5*l. Let i(g) = 2*q(g) - 7*u(g). What is the third derivative of i(f) wrt f?
-3024
What is the second derivative of -104 + 8320*q**4 + 669 + 4163*q - 565 wrt q?
99840*q**2
Let f(o) = 61*o**3 - 2*o**2 - 3*o - 1356. Let u(v) = -244*v**3 + 9*v**2 + 8*v + 5426. Let s(n) = 9*f(n) + 2*u(n). What is the first derivative of s(a) wrt a?
183*a**2 - 11
Differentiate 661*c**3 - 342 - 267*c**3 + 156*c**3 + 152*c**3 with respect to c.
2106*c**2
Suppose -4*c + 191 = 5*m, -13*c + 15*c - 98 = -2*m. Find the third derivative of h**2 - 16*h + 9*h + 2*h - 3*h**2 - c*h**4 wrt h.
-1296*h
Let p(b) = 3*b + 4. Let t be p(3). Let g = -11 + t. Find the first derivative of 7*m**2 + 9*m**g - 1 - 2 - m**2 wrt m.
30*m
Let u = 80935/2 + -40467. Let n(k) be the third derivative of 0 + 0*k - 41/6*k**3 + 0*k**4 + u*k**5 - 29*k**2. What is the derivative of n(f) wrt f?
60*f
Let x = -6026 + 6026. Let w(d) be the second derivative of 0*d**2 + 0 + x*d**3 - d + 5/6*d**6 + 23/12*d**4 + 0*d**5. What is the third derivative of w(s) wrt s?
600*s
What is the first derivative of 4331*l - 3827 - 19*l - 416*l + 1057*l wrt l?
4953
Let m(n) = -n**3 - 23*n. Let h(l) = 612*l**3 - 253*l + 950. Let z(v) = 2*h(v) - 22*m(v). What is the derivative of z(a) wrt a?
3738*a**2
Let n = -832 - -836. Find the second derivative of d + 69 - 70*d**5 + d - 1337*d**4 + 1337*d**n wrt d.
-1400*d**3
What is the derivative of -4985 + 5*y**2 + 45*y**4 + 1856 + 1783 wrt y?
180*y**3 + 10*y
What is the third derivative of 0*w**2 + 12*w - 28*w**4 + 2*w + 3*w**5 - 364*w**4 - 2*w**2 - 9*w wrt w?
180*w**2 - 9408*w
Find the first derivative of -539*t**3 - 4929 + 166*t + 550*t**3 - 166*t + 496*t**2 wrt t.
33*t**2 + 992*t
Let i(x) = x**2 - 11*x - 29. Let c be i(13). Let d be (c - 1)*((-3)/2 - -1). Differentiate -36*q**d + 77*q - 37 - 155*q + 78*q wrt q.
-72*q
Let x(i) = 13*i - 66. Let s(r) = -r**2 - 13*r + 23. Let c be s(-14). Let f be x(c). What is the third derivative of 0*m**2 + 10*m - 6*m + f*m**6 + 5*m**2 wrt m?
6120*m**3
Let f(a) = -300*a**5 + 2*a**4 - 6*a**3 + 4*a**2 - 6*a + 110. Let o(u) = u**5 + u**3 + u - 3. Let l(h) = f(h) + 6*o(h). Find the third derivative of l(m) wrt m.
-17640*m**2 + 48*m
Let j(p) be the second derivative of -1437*p**5/10 + 4553*p**3/6 - 1405*p. What is the second derivative of j(z) wrt z?
-17244*z
Let p(h) = 4*h**3 + 2*h**2 - 7*h + 3. Let t be p(3). Find the second derivative of 212*i - t*i**2 - 223*i - 156*i wrt i.
-216
Find the third derivative of 259*j**4 - 458*j**6 - 259*j**4 + 656*j**2 wrt j.
-54960*j**3
What is the derivative of 15217*p - 15217*p - 11780*p**2 + 15283 wrt p?
-23560*p
Let k(f) be the second derivative of -5/2*f**3 + 3/2*f**2 - 18/7*f**7 + 1 + 0*f**5 - 97*f + 0*f**6 + 0*f**4. What is the second derivative of k(z) wrt z?
-2160*z**3
Let i = 550 + -389. What is the first derivative of u + 101 + 4*u - i*u**3 + 160*u**3 wrt u?
-3*u**2 + 5
Let j(l) be the first derivative of 24*l**5 - 5575*l**2/2 + 11753. Find the second derivative of j(p) wrt p.
1440*p**2
Let j(r) be the first derivative of 12*r + 17/2*r**2 - 200. What is the derivative of j(x) wrt x?
17
What is the third derivative of 14 - 951*q**5 - 641*q**2 - 44 + 27 - 4*q**6 + 2*q**6 wrt q?
-240*q**3 - 57060*q**2
Let y(p) be the first derivative of 5*p**6/3 - 2*p**5 + 3403*p**2/2 - 2643. What is the second derivative of y(f) wrt f?
200*f**3 - 120*f**2
Suppose 27*u = 23*u + 12. What is the second derivative of -169*p**u + p**2 - 129*p + 34*p**3 + 41*p**3 wrt p?
-564*p + 2
Let i(l) = -2600*l - 1918. Let z(v) = 521*v + 383. Let s(o) = 2*i(o) + 11*z(o). Differentiate s(c) wrt c.
531
Find the third derivative of -439 + 5*l**3 + 439 + l**4 - 5*l**4 - 7*l**4 + 3*l**2 wrt l.
-264*l + 30
Let t(g) be the second derivative of -1627*g**5/20 - 65*g**4 + 420*g - 2. Find the third derivative of t(i) wrt i.
-9762
Let z be (-2000)/(-960) + 1/(-3). Let j(g) be the first derivative of 0*g**3 - 9*g + 0*g**2 + z*g**4 - 19. Differentiate j(l) wrt l.
21*l**2
What is the second derivative of 2*t**5 - 42*t + 2*t**5 - 7*t**5 - 136*t**2 - 12*t + 7*t**5 wrt t?
80*t**3 - 272
Let f be ((-4)/(-4))/((-1)/(-2)). Let y be 2/(-3) + (-240)/(-90). Find the third derivative of -10*m**f + 2*m**3 - 6*m**y - 4*m**3 + 7*m**3 wrt m.
30
Let y(h) be the first derivative of 411*h**5/5 + 12*h**3 + 2*h**2 + 1094. What is the third derivative of y(w) wrt w?
9864*w
Suppose -25*o + 429 = -14*o. What is the second derivative of -o*j + 29 + 29*j + 12*j - 64*j**4 wrt j?
-768*j**2
Suppose -2*b = -9 + 7. Let w(n) = -19*n**3 - n**2 - 7*n + 2. Let o(y) = -y**2 - 1. Let g(j) = b*w(j) + 2*o(j). Find the third derivative of g(t) wrt t.
-114
What is the second derivative of -99*d**2 - 695*d**2 - 112 + 65 + 38 + 53 - 3*d wrt d?
-1588
Let u(w) = -w**3 + 3*w**2 + 73*w - 4. Let f be u(-10). Find the third derivative of -857*s**4 - 104*s**2 + f*s**4 + 577*s**4 wrt s.
6864*s
Find the second derivative of -18 + 2*w**3 - 2741*w + 1366*w - 719*w**2 + 1349*w wrt w.
12*w - 1438
Let z(k) be the second derivative of 77/6*k**3 - 53*k**2 + 22*k + 0. What is the first derivative of z(p) wrt p?
77
Let p be (-3)/(-12) + 3/(60/(-805)). Let x = p - -42. Find the third derivative of -19*o**x - 97*o**5 + 81*o**5 - o**2 wrt o.
-960*o**2
Let a(w) be the first derivative of -674*w**6 + 2*w**3 + 245*w**2/2 + 1592. What is the third derivative of a(z) wrt z?
-242640*z**2
Let i(d) be the third derivative of d**6/10 + 5*d**4/24 - 283*d**3/2 + 16*d**2 - 6. What is the first derivative of i(c) wrt c?
36*c**2 + 5
Let c(v) be the first derivative of -3431*v**4/4 - 380*v**3 - 2041. What is the third derivative of c(h) wrt h?
-20586
Let v(u) be the first derivative of -u**4/4 + 64*u**3/3 + 2104*u - 1083. Differentiate v(s) with respect to s.
-3*s**2 + 128*s
Suppose -10*k + 10641 + 5949 = 0. Find the third derivative of 1656 - 2*i**2 + 4*i**2 + 39*i**3 - k wrt i.
234
Let q(m) be the second derivative of -1448*m**7/21 - m**6/15 - 1840*m**3/3 + 96*m + 7. Find the second derivative of q(h) wrt h.
-57920*h**3 - 24*h**2
What is the second derivative of 153 - 2*q - 95 + 975*q**2 - 212*q**2 + 0*q + 139 wrt q?
1526
Let h(c) = 51*c**3 + 54*c**2 + 12*c - 3. Let k(j) = -51*j**3 - 56*j**2 - 15*j + 2. Let q(x) = -5*h(x) - 4*k(x). What is the derivative of q(s) wrt s?
-153*s**2 - 92*s
Let u = -95 + 100. What is the third derivative of 2*t**4 - 116*t**5 + 75*t**2 + 229*t**5 - 116*t**u wrt t?
-180*t**2 + 48*t
Let h be 4/(4/(20/(-3)) + (-116)/(-60)). Let g(p) be the second derivative of 9*p + 0 + 1/4*p**4 + 9/2*p**h + 0*p**2. Find the second derivative of g(o) wrt o.
6
Suppose -6 = 3*y, 3*y + 0*y = 5*j - 16. Find the second derivative of 23*n**3 - 37*n**3 - 1 + 6*n**j - 9*n**2 + 6*n wrt n.
-84*n - 6
Find the seco