j. What is the first derivative of -5*n - 1007 + n + 1019 - 4*n**j wrt n?
-8*n - 4
Let h(k) = -1140*k + 132. Let l(b) = -1134*b + 131. Let r(d) = 6*h(d) - 7*l(d). Differentiate r(f) wrt f.
1098
Let k be 59*(4 + (-10)/5). Differentiate -k*p**3 + 923 - 905 + 38*p**3 with respect to p.
-240*p**2
Let p(t) be the first derivative of 221*t**5 + t**2/2 + 1144*t - 631. What is the derivative of p(x) wrt x?
4420*x**3 + 1
Let n(i) = i + 21. Let l be n(0). Let d = 23 - l. Find the third derivative of -5*f**3 - 15*f**d + f**3 + f**3 - 7*f**3 wrt f.
-60
Let u(m) be the second derivative of -23 - 2*m + 93/2*m**2 + 0*m**5 + 0*m**4 - 29/10*m**6 - 1/6*m**3. Differentiate u(d) with respect to d.
-348*d**3 - 1
Let u(y) be the first derivative of 798*y**5/5 - 1418*y + 1467. What is the first derivative of u(a) wrt a?
3192*a**3
Find the second derivative of 6343*t**4 + 10017 - 1196504*t + 2393005*t - 1196503*t wrt t.
76116*t**2
What is the second derivative of 284*w + 186*w**3 + 9 - 801*w**3 + 600*w**5 - 297*w**5 - 455*w**3 - 304*w**5 wrt w?
-20*w**3 - 6420*w
Suppose 9 = -3*u + 21. What is the third derivative of -17932*y**2 + 57*y**4 - y**3 + 4*y**u + 18185*y**2 wrt y?
1464*y - 6
Let z be (108/117)/6 + (-128)/(-13). What is the third derivative of -z*s**2 + 5*s**3 + 1304*s**5 - 1303*s**5 + 12*s**3 wrt s?
60*s**2 + 102
Let a(b) be the second derivative of -89*b**7/3 - 253*b**3/2 + 172*b + 2. What is the second derivative of a(n) wrt n?
-24920*n**3
Find the first derivative of -6497*m**2 + 899*m + 186 + 3 + 3247*m**2 + 105 + 3247*m**2 wrt m.
-6*m + 899
Let f(q) = 34981*q**2 - 92*q + 316. Let b(x) = -6996*x**2 + 19*x - 63. Let s(c) = -14*b(c) - 3*f(c). Find the second derivative of s(j) wrt j.
-13998
Let i(d) be the first derivative of 0*d**3 + 0*d**2 - 29/2*d**4 - 27*d + 71. Find the first derivative of i(m) wrt m.
-174*m**2
Let k(q) = -676*q**3 + 6*q + 1023. Let l(i) = 1354*i**3 - 13*i - 2046. Let c(g) = 13*k(g) + 6*l(g). What is the first derivative of c(b) wrt b?
-1992*b**2
Suppose -q - 5*j + 17 + 31 = 0, 3*q - 2*j - 59 = 0. Suppose q = -5*p + 153. What is the second derivative of -12*x**3 + p*x - 57*x + 18*x wrt x?
-72*x
What is the second derivative of -1326*u**5 + 159 - 94*u**5 - 3*u**4 - 157 + 3*u**4 - 243*u wrt u?
-28400*u**3
Suppose -3*t = -2*y + 15, -y - t + 8 = -2*t. Suppose 16 = 5*v - b - y, 0 = 3*v - b - 17. What is the second derivative of 16*n**4 - 7*n - 12*n - 22*n**v wrt n?
-72*n**2
Let q = -15 + 110. Let i be 114/q + (-8)/(-10). Differentiate -12 + 5*l**2 + 0*l**i - 18 with respect to l.
10*l
Let h = 61 - 58. Suppose -29 = -4*m - h*w, -2*m = 2*m + 5*w - 27. What is the second derivative of m*k + 4*k**4 - 23*k + 10*k wrt k?
48*k**2
Suppose -4*j + 5*h + 17 = 0, -h + 1 = 2. Differentiate -j + 1031*a**4 + 0 - 1063*a**4 wrt a.
-128*a**3
Let w(s) = -1069*s**3 + 2*s**2 + 148*s. Let v(n) = 3214*n**3 - 6*n**2 - 445*n. Let u(q) = -4*v(q) - 13*w(q). Find the third derivative of u(o) wrt o.
6246
Suppose -3*k + 24 = 5*k. Find the third derivative of 43*g**2 - 75*g**2 + 19*g**k + 49*g**2 wrt g.
114
Let c be (0 + 1*3)*5750/375. Find the second derivative of -c*m**2 - 1080 + m - 31*m**2 + 1074 wrt m.
-154
Let c = 139 + -135. What is the second derivative of 34 - 41*s**c + 5*s**4 - 39 - 5*s wrt s?
-432*s**2
Let y = 182 - 173. What is the first derivative of y*j**2 + 58*j**3 - 44*j**3 - 156 - 8*j**2 + 48*j**3 wrt j?
186*j**2 + 2*j
Find the third derivative of 17591*j**3 - 278*j**5 - 35169*j**3 + 12641*j**2 + 17585*j**3 wrt j.
-16680*j**2 + 42
Suppose 7*p = 42 - 21. Let j(t) = -12*t**2 - 3*t + 4. Let b(l) = -23*l**2 - 6*l + 9. Let f(a) = p*b(a) - 7*j(a). What is the second derivative of f(u) wrt u?
30
Let f(x) = -11992*x**2 + 25 + 12129*x**2 + 63. Let p(k) = -549*k**2 - 350. Let w(n) = 18*f(n) + 4*p(n). Differentiate w(m) with respect to m.
540*m
Suppose -5*o + 8*o = -5*n + 21, -3*o = 3*n - 15. Find the third derivative of 112*x**2 + o*x**5 + 34*x**5 - 5*x - 109*x**2 wrt x.
2160*x**2
Let n(q) = -12*q - 18. Let i be n(-3). Find the second derivative of -i*t - 2 + 575*t**5 + 5*t - 482*t**5 wrt t.
1860*t**3
Differentiate -666*n + 84*n**3 + 413*n**2 - 413*n**2 - 42*n**3 - 40*n**3 + 2013 wrt n.
6*n**2 - 666
Let c(q) be the third derivative of -q**9/168 - q**7/14 - 89*q**5/5 - 5*q**2 + 125*q. What is the third derivative of c(t) wrt t?
-360*t**3 - 360*t
Let p(q) = -3*q**3 + 2*q**2 + 21*q. Let x be p(-5). What is the second derivative of 3*a**2 - 141*a + x*a - 151*a + 9*a**3 wrt a?
54*a + 6
Let p(y) be the third derivative of 3937*y**8/336 + 2825*y**4/24 + 78*y**2 + 22*y. What is the second derivative of p(h) wrt h?
78740*h**3
Let p(a) = a**3 + 17*a**2 - 27*a + 22. Let u be p(-15). Find the third derivative of -39*r**2 - 9*r**5 + 0*r**2 - u + 876 wrt r.
-540*r**2
Let j(w) = -2*w + 5. Let d(h) = 332*h + 1028. Let k(q) = 5*d(q) + 110*j(q). What is the derivative of k(i) wrt i?
1440
Let q(n) be the third derivative of n**2 - 121/6*n**3 + 55/24*n**4 + 0 - 37*n. Differentiate q(y) with respect to y.
55
Let a(y) be the third derivative of -y**5/60 - 169*y**4/4 + 368*y**3 - 3214*y**2. Differentiate a(l) wrt l.
-2*l - 1014
Let o(z) = 593*z**4 + 20*z**3 + 521*z**2 - 4*z. Let p(d) = 10*d**3 - 2*d. Let t(g) = -4*o(g) + 8*p(g). Find the third derivative of t(q) wrt q.
-56928*q
Let p(z) = -4*z**3 + z**2 + z + 1. Let g(r) = -1433*r**4 - 24*r**3 + 584*r**2 + 6*r + 6. Let x(t) = g(t) - 6*p(t). Find the third derivative of x(o) wrt o.
-34392*o
Suppose 4*o = 4*b + 2*o - 78, -97 = -5*b + 3*o. Find the second derivative of -12 - 10*x**5 + 25*x + x**4 + 5*x**5 - 8*x**5 - b*x wrt x.
-260*x**3 + 12*x**2
Let f(p) be the first derivative of 8*p**7 + 6*p**5/5 - 180*p**3 + p**2 - 1922. What is the third derivative of f(h) wrt h?
6720*h**3 + 144*h
Let h(f) = 1643*f**3 + 2248*f**2 + 5*f. Let l(g) = -1645*g**3 - 2251*g**2 - 4*g. Let q(k) = 4*h(k) + 5*l(k). What is the third derivative of q(r) wrt r?
-9918
Let j = -8831/12 + 736. Let n(z) be the third derivative of 0*z**5 + 0 + j*z**6 + 0*z**3 - 5/8*z**4 + 0*z - 6*z**2. Find the second derivative of n(k) wrt k.
60*k
Suppose -12*r = -17*r + 30. Differentiate -110 + 16*s**2 + 37 + r*s**2 wrt s.
44*s
Differentiate 37709*l**2 - 37709*l**2 + 1412 - 1089*l**4 wrt l.
-4356*l**3
Let y(q) be the second derivative of 2*q**6/15 - q**4 + 7*q**3/6 + 5*q - 9. Let i(t) be the second derivative of y(t). Find the first derivative of i(m) wrt m.
96*m
Suppose -2*m + m = -7. Find the second derivative of 63*t - 77*t - 5 + m + 65*t**5 wrt t.
1300*t**3
Find the first derivative of 1685 - 238 + 81*c**4 - 86*c**4 + 16*c + 39*c**4 wrt c.
136*c**3 + 16
Let y(b) be the first derivative of -2*b - 79 + 5*b**3 + 0*b**2 + 7/4*b**4. What is the third derivative of y(k) wrt k?
42
Suppose -4*a = 15 - 55. What is the first derivative of -a*q - 22*q + 24 - 68*q wrt q?
-100
Let s(i) be the second derivative of -983*i**6/30 - 456*i**2 + i + 192. Differentiate s(q) with respect to q.
-3932*q**3
Let l(o) = 7*o**2 - 10*o + 31. Suppose 2*j - 7 = -21. Let b(t) = 8*t**2 - 11*t + 30. Let w(n) = j*l(n) + 6*b(n). What is the derivative of w(f) wrt f?
-2*f + 4
What is the second derivative of -73 + o**2 - 2*o**2 - 902*o - 916*o + 1816*o - 29*o**3 wrt o?
-174*o - 2
Let w(p) = 432*p + 1298. Let u be w(-3). Let f be (-14)/(-4) + (-2)/4. Differentiate u + 10 + 42*q + f - 2 with respect to q.
42
Let u be (7 - 1 - -704) + 5. What is the second derivative of u*d - 54*d**5 - 8*d**5 - 736*d wrt d?
-1240*d**3
Let o(d) = 4*d**4 - 5*d**3 - 8208*d + 7936. Let b(a) = -2*a**4 + 2*a**3 + 4105*a - 3969. Let n(k) = 5*b(k) + 2*o(k). What is the first derivative of n(y) wrt y?
-8*y**3 + 4109
Let x = 7236 - 7223. Let o(l) be the second derivative of 0*l**2 + 0 - 9/4*l**4 - 31/6*l**3 - x*l. What is the second derivative of o(v) wrt v?
-54
What is the derivative of -8*c**2 + 844 - 629704*c + 629695*c - 4*c**2 wrt c?
-24*c - 9
Let d(r) = r + 4. Let a(q) = -q**2 + 9*q - 11. Let j be a(8). Let h be d(j). Differentiate -12*z**3 + 22*z**3 - 12 - h with respect to z.
30*z**2
Suppose -12 = 32*z - 38*z. Differentiate 134 + 3590*o - 4*o**3 + 2*o**z - 3590*o wrt o.
-12*o**2 + 4*o
Let v(c) be the first derivative of -3*c**5/5 - 1018*c**3/3 + 10977*c**2/2 - 2627. What is the second derivative of v(y) wrt y?
-36*y**2 - 2036
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