 - 48
Let h(l) = -l**4 + l**3 + 2*l**2 + l + 1. Let d(j) = -353*j**4 - 3*j**3 - j**2 - 4*j - 50. Let v(b) = d(b) + 4*h(b). What is the third derivative of v(t) wrt t?
-8568*t + 6
Let y(x) = -2528*x - 799. Let p(z) = -2534*z - 804. Let g(v) = -3*p(v) + 4*y(v). Differentiate g(a) wrt a.
-2510
Suppose -504 = -17*w - 25*w. What is the third derivative of -19*z**3 - 19*z**3 - 2 + 34*z**3 + 6*z**4 - w*z**2 wrt z?
144*z - 24
Let q = 2762 + -2760. Let k(t) be the third derivative of 0*t**3 + 9*t**q + 0*t + 0 + 3/10*t**5 - 5/12*t**4. What is the second derivative of k(r) wrt r?
36
Let s(x) = 7*x**2 + 3466*x + 4382. Let n(m) = -m**2 + m + 3. Let c(r) = 5*n(r) + s(r). What is the first derivative of c(d) wrt d?
4*d + 3471
Suppose 12*c = 2*c + 30. What is the second derivative of 6*g**2 - 2*g**3 - 744*g + g**c + 731*g + 2*g**3 + 7 - 3*g**3 wrt g?
-12*g + 12
Let b(f) = -12570*f**3 - 4*f**2 - 24*f - 100. Let n(m) = -m**3 - m**2 - 2*m + 4. Let q(c) = b(c) - 12*n(c). Find the third derivative of q(x) wrt x.
-75348
What is the third derivative of 7*s**2 - 98*s - 184*s**3 - 2*s**2 - 18083686 + 9*s**6 + 18083688 wrt s?
1080*s**3 - 1104
Let d(b) = -128*b. Let q(t) = -4206*t + 10195. Let f(o) = 3*d(o) - q(o). Find the first derivative of f(k) wrt k.
3822
Let k be 5/((-15)/(-6))*6/(-12). Let i(t) = -2*t**2 - t. Let l(u) = -4*u**2 - 8*u + 58. Let v(g) = k*i(g) + l(g). What is the derivative of v(n) wrt n?
-4*n - 7
Let s(d) be the second derivative of -155*d**8/14 + 559*d**4/12 + 10*d + 85. What is the third derivative of s(y) wrt y?
-74400*y**3
Let b = 76 + -74. Let o(y) = -b*y + 261 + y - 262. Let s(u) = -13*u**2 - 5*u - 11. Let q(j) = -5*o(j) + s(j). What is the first derivative of q(g) wrt g?
-26*g
What is the second derivative of 5377*t - 1054*t + 756*t + 2301*t**2 wrt t?
4602
Let l(j) be the third derivative of -73*j**8/28 - j**6/40 - 6671*j**5/60 - j**3/3 + 15*j**2 - j - 40. What is the third derivative of l(k) wrt k?
-52560*k**2 - 18
Find the first derivative of 1021*p - 612 - 284*p - 1008 wrt p.
737
Let u(h) = 4893*h**3 - 7128*h - 3. Let r(g) = -9892*g**3 + 14257*g + 5. Let n(a) = 3*r(a) + 5*u(a). What is the second derivative of n(p) wrt p?
-31266*p
Let w(p) = -22*p**3 - 19*p**2 - 17*p - 3773. Let s(b) = -b**3 - b**2 - 3*b + 4. Let y(g) = 5*s(g) - w(g). Find the second derivative of y(v) wrt v.
102*v + 28
Suppose 27*h = -0*h - 2673. Let t(k) = 15*k**2 + 4*k - 48. Let c(w) = -374*w**2 - 99*w + 1199. Let p(s) = h*t(s) - 4*c(s). Differentiate p(v) wrt v.
22*v
Let m(y) = y**2 + y - 7. Let l be m(3). What is the second derivative of -202*h + 0*h**5 - l*h**5 - 467*h**3 + 463*h**3 wrt h?
-100*h**3 - 24*h
Let o = 3551 + -3551. Let h(g) be the third derivative of -11*g**2 + 0*g + o*g**5 - 1/24*g**6 - 7/6*g**3 + 0 + 0*g**4. Find the first derivative of h(r) wrt r.
-15*r**2
Let m = -267 + 447. Let j be (6/4)/(1265/m - 7). Find the third derivative of j*g**5 - 22*g**2 - 24*g**5 - 28*g**5 wrt g.
120*g**2
Let f(x) = -6879*x**2 + 5215. Let k(s) = 48150*s**2 - 36490. Let b(h) = 15*f(h) + 2*k(h). Differentiate b(c) wrt c.
-13770*c
Let f(r) be the first derivative of 5*r**4/4 + 141*r**2 - 2959*r - 272. Differentiate f(z) wrt z.
15*z**2 + 282
Let n be -2 + -7 + 13 + 0/1. Suppose 3*h - 1 = -5*p - 2, -5*p = 5*h - 15. What is the second derivative of h*o**3 + o - n*o**3 - 3*o**3 wrt o?
6*o
Let f(w) = -w**3 - 9*w**2 + 6*w + 18. Let o be f(-8). Let c = -79 - o. What is the third derivative of -c*p**2 + 128*p**5 - 19*p**2 - 103*p**5 + 10*p**2 wrt p?
1500*p**2
Suppose -2*p = 2*m + p + 1, -2*m = 5*p + 7. Let y be (780/9)/m - (-1)/3. What is the derivative of 114 + 121 - 214 - y*j**4 wrt j?
-88*j**3
Find the second derivative of -6969*i - 86*i**5 - 6919*i + 14134*i wrt i.
-1720*i**3
Let y(m) be the third derivative of 577*m**9/72 - 5*m**5/6 - m**4/24 + m**3/3 - 24*m**2 - 90. What is the third derivative of y(c) wrt c?
484680*c**3
Suppose -1619 = -38*h - 23. Find the second derivative of 13*w - 24*w + 0*w**5 - 9*w + h*w**2 + 4*w**5 - 6*w**5 wrt w.
-40*w**3 + 84
Let r(n) = 5*n**3 + 23*n**2 + 9*n - 134. Let f(x) = -x**2 + x - 2. Let l(p) = 6*f(p) - r(p). Find the second derivative of l(a) wrt a.
-30*a - 58
Let i(p) be the second derivative of -845*p**3/6 - 2279*p**2/2 - 2869*p. Differentiate i(m) with respect to m.
-845
Let v(u) be the first derivative of 0*u + u**4 + 4*u**3 + 33/2*u**2 + 40. Let a(k) be the second derivative of v(k). Differentiate a(j) wrt j.
24
Let o(h) be the third derivative of -h**6/60 - 5*h**5/4 + 200*h**3 - 638*h**2 - 2. What is the first derivative of o(f) wrt f?
-6*f**2 - 150*f
Let x(i) be the third derivative of -11*i**7/42 + i**6/15 - 161*i**5/5 + 2*i**2 + 53*i. Find the third derivative of x(s) wrt s.
-1320*s + 48
Let s(f) = f**2 - f + 58. Let o(t) = -t**3 - 6*t**2 - 9*t - 4. Let b be o(-4). Let u be s(b). Differentiate -u*m**3 + 4*m**4 + 11 + 58*m**3 wrt m.
16*m**3
Suppose -4*i = 2*m + 3*m + 135, 0 = i - m + 36. Let b = i + 40. What is the third derivative of 6*o**b - 4*o + 3*o**2 + 4*o + o**5 wrt o?
420*o**2
Let x(i) be the first derivative of 5*i**2 + 88*i + 2*i**2 + 19*i**2 + 7*i**2 - 32. What is the derivative of x(u) wrt u?
66
What is the second derivative of 4743*r - 1178*r**2 - 2 + 2715*r**2 - 1133*r**2 - 2834*r**2 wrt r?
-4860
Suppose 22*k - 126 = 16*k. Find the third derivative of -10*o**2 + k*o**6 + 2*o**2 + 14*o**6 + 12 wrt o.
4200*o**3
Let q(h) be the first derivative of 5914*h**5/5 + 2775*h - 996. Differentiate q(f) wrt f.
23656*f**3
Let b(a) = 2*a**4 + a**3 + 2*a**2. Let t(w) = 4*w**4 - 6*w**3 - 26*w**2 - 1410*w. Let y(v) = -6*b(v) - t(v). Find the second derivative of y(x) wrt x.
-192*x**2 + 28
Let q = 384 + -382. What is the derivative of -29*v**2 + 44 + 22*v**2 + 10*v**q + 12*v**3 wrt v?
36*v**2 + 6*v
Let z(h) = -3*h**3 + h - 1. Let a(r) = -2712*r**5 - 18*r**3 + 753*r**2 + 6*r - 6. Let c(q) = -a(q) + 6*z(q). Find the third derivative of c(w) wrt w.
162720*w**2
Let r(s) = 3788*s - 12990. Let d(q) = -11364*q + 39220. Let w(c) = -5*d(c) - 14*r(c). Find the first derivative of w(g) wrt g.
3788
Let v be 23/69 - (-1180)/6. Find the second derivative of -h - v + 201 - 3*h**5 - 8*h**5 wrt h.
-220*h**3
Let s be (-4)/5 + -7*1164/(-210). What is the derivative of -14*d + 197 - s - 43*d - 8*d wrt d?
-65
Suppose 5*c - 44 = c. Let h(t) = -t + 18. Let d be h(c). Find the second derivative of 0*r + d*r**2 - 28*r**2 - 5*r wrt r.
-42
Differentiate 1787*x**3 - 1099*x**3 + 780*x**3 + 1485 with respect to x.
4404*x**2
Let t be 2/1*15*(1 + -2). Let f be t/(-70) - 36/(-14). What is the second derivative of -8*m**3 - 13*m - 2*m + 24*m**3 - 4*m**f wrt m?
72*m
Let s(b) = -b**3 + 3*b**2 + 6*b - 6. Let x be (-216)/(-52) - 4/26. Let i be s(x). Find the third derivative of 16*h**2 + 63*h**4 - 63*h**4 - i*h**6 wrt h.
-240*h**3
What is the derivative of -26137*n + 6*n**2 - 518*n**3 + 1573 + 26137*n + 781 wrt n?
-1554*n**2 + 12*n
Let v(p) = -78*p**2 + 1096*p - 4. Let t(f) = 1. Let z(g) = 5*t(g) + v(g). What is the second derivative of z(o) wrt o?
-156
Suppose -15*f + f = 4*f + f. Let o(x) be the second derivative of -37/2*x**2 + 0*x**3 + 29/12*x**4 + 47*x + f. What is the derivative of o(v) wrt v?
58*v
Let i(v) be the first derivative of -38 + 0*v + 0*v**2 - 27/4*v**4 - 40/3*v**3. What is the third derivative of i(w) wrt w?
-162
Let q = 4103 + -8205/2. Let h(j) be the second derivative of -7/6*j**3 + 4*j - q*j**2 + 0. What is the derivative of h(c) wrt c?
-7
Let l(y) = -203*y + 101*y + 103*y. Let u(r) = 4 - 5*r + 3 + 13*r. Let n(f) = 15*l(f) - 3*u(f). What is the first derivative of n(j) wrt j?
-9
Let q = 69 - 63. Suppose -q*t = -11*t + 105. What is the second derivative of 2*x - 11*x**2 + t*x**4 + 11*x**2 wrt x?
252*x**2
Let w = 1 - -3. Let h = -11937 + 11941. Find the second derivative of -4*u**w + 5*u + 3*u**4 - 8*u**h wrt u.
-108*u**2
Let p = -51 + 53. Let x be (p - 1) + (-3 - -7). What is the second derivative of -5*z**5 - 29*z - 31*z**5 + 53*z**x wrt z?
340*z**3
Suppose 4*p - 57 = 59. What is the third derivative of p*z + 417*z**2 + 5 + 80*z**4 - 29*z - 430*z**2 wrt z?
1920*z
What is the second derivative of -3017*b - 2859*b**2 + 2468*b + 940*b**2 wrt b?
-3838
Let a = -80 - -83. What is the third derivative of 10*o**3 - 27*o**3 + 61*o**4 + 17*o**a + 65*o**2 wrt o