d derivative of -3*x + 2*x**4 - 22*x**4 + i*x**4 + 7*x wrt x.
-204*x**2
Find the second derivative of 54*n**4 - 9*n**4 + n - 2*n + 5*n**4 + 2744 + 5*n**5 - 2747 wrt n.
100*n**3 + 600*n**2
Let d(x) be the second derivative of -172*x**6/5 - 1825*x**2 + 2868*x. What is the first derivative of d(z) wrt z?
-4128*z**3
Let t(h) be the first derivative of -349*h**6/2 - h**4/2 + 11989*h**2/2 + 3065. What is the second derivative of t(j) wrt j?
-20940*j**3 - 12*j
Let q be (-2)/35 - (-5486)/455. Let a(p) be the first derivative of -q*p + 12 + 0*p**2 + 1/3*p**3. Differentiate a(l) with respect to l.
2*l
Let b = 47 - -4. Find the first derivative of 68 - 383 + b*v + 124 + 114 wrt v.
51
Let q be (-1)/(7 + (-100)/14). Find the third derivative of -10*r**4 - 3*r**3 - r**4 + q*r**4 - 4*r**4 - 158*r**2 wrt r.
-192*r - 18
Let c(m) be the second derivative of -1445*m**4/12 + 1043*m**2 + 340*m. What is the derivative of c(h) wrt h?
-2890*h
Let x be ((-11)/(-2) - 32/8)*2. Find the third derivative of 126*f**2 + 11*f**5 - 64*f**3 + 98*f**2 + 11*f**5 + 63*f**x wrt f.
1320*f**2 - 6
Let y = 4 + 23. Suppose 9 = 30*k - y*k. Find the second derivative of 4*f - 4*f**5 - 8*f**5 - k*f + 13*f**5 wrt f.
20*f**3
Suppose -799 = -19*c + 2*c. What is the first derivative of -c - 6*x**4 + 17*x + 4*x**4 + 0*x**4 - 32 wrt x?
-8*x**3 + 17
Suppose 12*q + 26 = 14*q. Suppose 17 - q = 2*d. Differentiate -71 + 31 + 0*r**2 + 15*r**d + 23 with respect to r.
30*r
Suppose -2*v = 2*i + 4, 14 = v - 5*i + 2*i. What is the second derivative of 0*q**2 + q**2 - 227*q + 138*q**5 + 407*q - q**v wrt q?
2760*q**3
Find the second derivative of 3 + 53*b + b**2 + 0 - 6 - 154*b - 226*b**3 - 3*b**2 wrt b.
-1356*b - 4
Let f(w) be the third derivative of -547*w**7/15 - 8299*w**3/6 - 11052*w**2. Differentiate f(d) wrt d.
-30632*d**3
Let y(s) be the first derivative of 4589*s**5/5 - 4647*s**2/2 + 7024. Find the second derivative of y(i) wrt i.
55068*i**2
Suppose -4*k - 5*n = k - 25, 2*n + 25 = 5*k. Let i = 5 + 1. Find the third derivative of 39*r**5 + 6*r**2 + 3*r**6 - 39*r**k - 12*r**i wrt r.
-1080*r**3
Let g(h) = 131*h**3 - 519*h - 53400. Let f(d) = -26*d**3 + 106*d + 10680. Let q(c) = -16*f(c) - 3*g(c). What is the first derivative of q(b) wrt b?
69*b**2 - 139
Let f(w) be the first derivative of 838*w**5/5 - 4*w**3/3 - 4*w + 23. What is the third derivative of f(a) wrt a?
20112*a
Let p(q) be the third derivative of -127*q**7/21 + 415*q**3/3 - 4*q**2 - 255. Differentiate p(n) wrt n.
-5080*n**3
Let y = 854/3 + -1681/6. Let a(l) be the second derivative of 4*l + 0 - 6/5*l**6 + 0*l**4 + y*l**2 + 0*l**5 + 0*l**3. What is the derivative of a(q) wrt q?
-144*q**3
Find the first derivative of -9543 - 8532 + 204 - 798 - 6553*z**2 + 3755 wrt z.
-13106*z
Suppose 62 = -6*a + 32. Let x(u) = 6*u**4 + 1. Let c(f) = -1 + f**4 - 2*f**4 + 2. Let r(h) = a*c(h) - x(h). Differentiate r(z) with respect to z.
-4*z**3
Let t be ((-3)/(-5))/((24/(-40))/(-3)). What is the third derivative of 34*v**3 - 33*v**3 - v - 2*v**2 - t*v**6 - 19*v**6 wrt v?
-2640*v**3 + 6
Let t(y) be the third derivative of -y**5/60 - 997*y**4/12 + 1549*y**3/6 - 2030*y**2. Differentiate t(b) wrt b.
-2*b - 1994
Suppose 4*y + 3*p = 9, y = 3*y - p - 7. Suppose -3*z - 1 = -k, 3*k + 13 = -2*z + 71. What is the first derivative of -37*c**3 + 8*c**3 + k*c**y + 14 wrt c?
-39*c**2
What is the first derivative of 1150 + 3875 + 2*h - 2*h - 76*h**3 - 9*h**3 wrt h?
-255*h**2
Let m be 5 - (21 + -20)/((-2)/(-2)). What is the third derivative of -21*k**3 - 44*k**2 + 22*k**2 + 197*k**2 - k**m wrt k?
-24*k - 126
Let t(k) be the first derivative of 2*k**6/5 - 55*k**3/3 + 65*k**2 + 137. Let o(c) be the second derivative of t(c). Differentiate o(d) wrt d.
144*d**2
Let k be 1 - 3*(3 + -4). Let s(c) = 20*c**2 - c + 1. Let z be s(1). What is the third derivative of -z*p**2 + 4*p + 37*p**2 - 4*p - 16*p**k wrt p?
-384*p
Suppose -3*k + 6*k = 9, -4*k = -5*f - 32. Let h(x) = 56*x + 77. Let j(q) = -166*q - 230. Let s(v) = f*j(v) - 11*h(v). Differentiate s(n) with respect to n.
48
Suppose -3*l + 56 = -0*l - 5*a, 14 = l + 3*a. Suppose -p + l = -0*p + w, 0 = -p - 2*w + 22. Differentiate 10*m + 12*m + p - 33*m wrt m.
-11
Let n(u) = -u**3 + 5*u - 7. Let o be n(-3). Suppose 3*d + 2*p - 14 = 0, 11 - o = -3*p. Find the first derivative of -19*m**4 - d + 20*m**4 + 25 wrt m.
4*m**3
Let f = 114 - 110. Let c(l) = 10*l - 9. Let n be c(5). What is the second derivative of -26*p - f*p**4 + n*p - 18*p wrt p?
-48*p**2
Suppose -47 = -18*t + 43. Let n be (648/15)/6*t. What is the first derivative of n*u**4 + 3 - 2 - 8 + 1 wrt u?
144*u**3
Let u(i) be the first derivative of -6860*i**3/3 + 15*i**2/2 + 54*i + 4189. Find the second derivative of u(j) wrt j.
-13720
Let s(d) = -23*d**3 - 7*d**3 - 2 + 29*d**3. Let k(u) = 44*u**3 - 35*u**2 + 6. Let i(x) = k(x) + 3*s(x). Find the third derivative of i(c) wrt c.
246
Let x(c) be the second derivative of -3/10*c**6 + 0*c**5 + c + 35/6*c**3 + 0*c**2 - 3 + 0*c**4. Find the second derivative of x(n) wrt n.
-108*n**2
Let b(n) = -33*n**2 + 8*n - 210. Let c(v) = 11*v**2 - 3*v + 69. Suppose 470 = 3*k + 419. Let m(x) = k*c(x) + 6*b(x). Differentiate m(f) wrt f.
-22*f - 3
Let s be -12*((-10)/(-4) + -3). Let r be 332/20 - 2/(-5). Let p(j) = -83*j - 12. Let a(q) = 28*q + 4. Let l(y) = r*a(y) + s*p(y). Differentiate l(g) wrt g.
-22
Let v(l) be the second derivative of -43*l + 15/4*l**4 - 5/21*l**7 + 0*l**5 - 1/15*l**6 + 0*l**3 + 0*l**2 + 0. What is the third derivative of v(g) wrt g?
-600*g**2 - 48*g
Let o(u) = 5*u + 27*u + 1 + 4*u - 28*u**2. Let i(y) = -55*y**2 + 71*y + 3. Let q(z) = 3*i(z) - 7*o(z). What is the second derivative of q(g) wrt g?
62
Let s(r) be the second derivative of 813*r**3 - 5403*r**2/2 + 915*r. Differentiate s(x) with respect to x.
4878
Let j(z) be the third derivative of 91*z**6/3 - 10235*z**3/6 + 26*z**2 + 9. Find the first derivative of j(m) wrt m.
10920*m**2
Let l = 497 - 702. Let y = -92 - l. Find the third derivative of -y - 17*h**5 + 43*h**2 + 113 wrt h.
-1020*h**2
Let f(m) be the first derivative of 1/3*m**3 + 32 + 0*m**2 + 111*m - 3/4*m**4 + 8/5*m**5. What is the third derivative of f(h) wrt h?
192*h - 18
Let k(o) be the first derivative of 3*o**4/4 - 17*o**2 + 1602*o + 464. Differentiate k(t) with respect to t.
9*t**2 - 34
Let j(l) = -17*l + 87. Let c be j(5). Find the third derivative of 11*o**3 + 12*o**3 + 48*o**c - 54*o**3 wrt o.
-186
Find the third derivative of 3156*t**3 + 36*t + 454*t - 66*t - t**2 + 2*t**2 wrt t.
18936
Let s(u) be the second derivative of 0*u**5 - 1/10*u**6 + 116*u + 0*u**3 + 0 - 53*u**2 + 11/12*u**4. Differentiate s(v) wrt v.
-12*v**3 + 22*v
Let j(i) be the third derivative of -2879*i**6/120 - i**4/24 - 1217*i**3/6 + 2*i**2 - 50*i - 1. What is the second derivative of j(o) wrt o?
-17274*o
What is the third derivative of -13455*m**2 - 1153*m**3 - 1500*m**5 + 1153*m**3 + 734*m**2 wrt m?
-90000*m**2
Suppose 5*f = -4*u + 234 - 57, 4*f - 2*u - 152 = 0. Differentiate -26*w - 17 - 11*w + 172*w**2 + f*w with respect to w.
344*w
Let q(s) be the second derivative of 0 + 0*s**2 + 1/30*s**6 + 18*s + 9/20*s**5 + 23/6*s**3 - 1/6*s**4. What is the third derivative of q(r) wrt r?
24*r + 54
Let r(t) = 8*t**2 + 2*t - 3. Let w be r(1). Let d be (-374)/(-154) - 3/w. What is the third derivative of -m**2 + 6*m**d - 67*m**4 + 63*m**4 wrt m?
-96*m
Let y be -1 - (946/(-132) - -1). Let o(a) be the third derivative of 13/12*a**4 + 0*a + 13*a**2 + 0 - y*a**3. What is the derivative of o(w) wrt w?
26
Let p(u) be the third derivative of -44*u**7/15 + 5299*u**4/24 + 3864*u**2. Find the second derivative of p(t) wrt t.
-7392*t**2
What is the second derivative of -19 - 12 - 69 - 8453*x**2 - x + 15 - 3 wrt x?
-16906
Let z(y) = 5*y - 7. Let a(j) = -19*j + 27. Suppose 9 = -5*c - 1. Suppose 0 = 116*t - 118*t - 18. Let b(f) = c*a(f) + t*z(f). Differentiate b(q) wrt q.
-7
Let c(x) be the second derivative of 1/7*x**7 + 3/20*x**5 + 13/3*x**3 - 1/3*x**4 + 0*x**6 + x + 24 + 0*x**2. What is the third derivative of c(s) wrt s?
360*s**2 + 18
Let s(l) be the second derivative of 167/20*l**5 + 0*l**2 + 0*l**4 + 0 - 7*l + 211/6*l**3. What is the second derivative of s(d) wrt d?
1002*d
What is the third derivative of 9256*y - 918*y**3 + 1760*y**2 - 4626*y - 4630*y wrt y?