wrt b.
9
Let n = 7 - -61. What is the second derivative of 3*f**3 + 21 + 124*f + n*f**5 - f**3 - 123*f - 16*f**5 wrt f?
1040*f**3 + 12*f
What is the second derivative of -5 + 24212*m**3 + 5*m**2 - 24154*m**3 - 6*m**5 - 429*m - 2*m**2 wrt m?
-120*m**3 + 348*m + 6
Let v be 2/5 - 252/30. Let m(u) = -3*u**2 - 51*u - 84. Let a(b) = 5*b**2 + 77*b + 126. Let f(i) = v*m(i) - 5*a(i). Differentiate f(t) with respect to t.
-2*t + 23
Find the third derivative of 5*c**3 - 3*c**3 - 230 - 15922*c**2 - 2*c**3 + 15921*c**2 + 2114*c**5 wrt c.
126840*c**2
Let q(y) = y**2 - 9*y + 16. Let t be q(7). Find the second derivative of 2*i**2 - 2*i + 73*i**4 - 34 + 0 - t*i**2 - 17 wrt i.
876*i**2
Let o be ((-9)/(-12))/(5/(-20)). Let c be o/(-9) - 77/(-21). What is the third derivative of -14*v**2 + 12*v**4 - 22*v**c - 5*v**4 - v**2 wrt v?
-360*v
Let z = 82 + -63. Suppose z = y - 2*q, 0*q - 34 = -y + 5*q. What is the first derivative of 22 - 9*k + 22*k**3 + 0*k + y*k wrt k?
66*k**2
Let i(h) be the first derivative of -3*h + 2/5*h**5 - 7*h**2 + 67/4*h**4 + 55 + 0*h**3. Find the second derivative of i(b) wrt b.
24*b**2 + 402*b
Let c(y) be the third derivative of 839*y**8/336 + 17*y**5/60 + 7*y**4/8 + 1019*y**2. Find the third derivative of c(k) wrt k.
50340*k**2
Suppose -x = -130 - 67. Let t = -132 + x. What is the third derivative of -7*v**3 + 65*v - t*v - v**2 wrt v?
-42
Let f(c) = 5961*c**4 - 7*c**3 + 2827*c + 7. Let v(u) = 1986*u**4 - 2*u**3 + 943*u + 2. Let r(j) = -2*f(j) + 7*v(j). What is the second derivative of r(h) wrt h?
23760*h**2
Let c(w) be the third derivative of 79/3*w**3 - 290*w**2 + 0 + 0*w**4 + 1/60*w**5 + 0*w**6 - 149/210*w**7 + 0*w. What is the first derivative of c(x) wrt x?
-596*x**3 + 2*x
Let w be (-8)/96*-32 + 1/3. What is the third derivative of -2721*a**3 - 4*a + 5*a + 2724*a**w - 50*a**2 + a**4 wrt a?
24*a + 18
Find the third derivative of -1101*j**6 + 3795*j**2 - 902*j**6 + 206*j**2 wrt j.
-240360*j**3
Let t = -10 + 4. Let s be ((-12)/(-9) - 1)*t + 207. What is the third derivative of -156*j**5 + j**2 + 17*j**2 + s*j**5 wrt j?
2940*j**2
Let j(z) be the third derivative of -275*z**6/24 - 4461*z**4/8 - 3699*z**2. Find the second derivative of j(r) wrt r.
-8250*r
What is the second derivative of 21105*j**4 + 1 - 21431*j**4 - 3*j**3 + 5*j**3 + 146*j wrt j?
-3912*j**2 + 12*j
Let n be 1/(2/(-4) - -1). Let j be (6/(-10))/(2*3/(-30)). What is the second derivative of w - 5*w + 6*w**2 - 4*w - j*w**n wrt w?
6
Let b(s) be the second derivative of 0*s**4 - 67/2*s**2 + 1/10*s**5 - 2/15*s**6 + 0*s**3 + s - 7. Differentiate b(q) with respect to q.
-16*q**3 + 6*q**2
Let i(l) be the second derivative of -51/10*l**5 + 124*l - 2*l**2 + 0*l**4 + 1/2*l**3 + 0. What is the second derivative of i(u) wrt u?
-612*u
Let d = -18 + 20. Let x(f) = 9 - 11*f**3 - 10 - 9*f**2 + d. Let c(i) = -1. Let w(z) = c(z) + x(z). What is the third derivative of w(s) wrt s?
-66
What is the derivative of 233574*y + 10443 - 220319*y + 2547 wrt y?
13255
Let t(z) = z**2 - z - 3. Let h be t(3). Find the second derivative of 2*w**4 - 47*w + 9*w**5 + 5*w - h*w**5 wrt w.
120*w**3 + 24*w**2
Let z be (320/(-32))/(5/(-2)). What is the second derivative of -23*q**4 - 8 - 61*q - 195*q**z - 18*q**4 - 28 + 39 wrt q?
-2832*q**2
Differentiate 763*t - 59 + 2941*t - 7392*t - 174 - 9556*t with respect to t.
-13244
Let r(z) = 3*z**4 - z**3 + 2*z**2 + 1. Let n(v) = -10256*v**4 - 3*v**3 + 6*v**2 - 6483. Let w(y) = n(y) - 3*r(y). Differentiate w(a) with respect to a.
-41060*a**3
Suppose 2*c + 289 = 5*i, 0*i + i + c = 55. Let b = i + -45. Find the second derivative of 3*q**3 - 5*q**3 + 18*q + b*q**3 - 2*q**3 wrt q.
48*q
Let w(h) be the third derivative of -17*h**7/210 - 19*h**6/120 - h**5/30 + 11*h**3/6 + 191*h**2 + 3. What is the third derivative of w(s) wrt s?
-408*s - 114
Let j(r) be the second derivative of -1/3*r**3 - 12*r + 1 + 99/2*r**2 - 8/3*r**4. Find the first derivative of j(h) wrt h.
-64*h - 2
Let m(t) be the third derivative of 49/24*t**4 - 2 + 1/3*t**3 + 0*t - 31*t**2 - 1/60*t**5 + 89/120*t**6. What is the second derivative of m(q) wrt q?
534*q - 2
Let v(o) = -o**2 + o - 2. Let n(s) = -276*s**2 + 368*s + 10. Let a(d) = n(d) + 3*v(d). What is the second derivative of a(l) wrt l?
-558
Let a(g) = 3*g**3 - 45*g**2 - g + 18. Let b be a(15). Suppose -4 = -t - 1. Differentiate x**3 + 8*x**3 - 4 + 4*x**b - 5*x**t wrt x.
24*x**2
Let k(m) be the third derivative of -5*m**9/42 + m**8/168 - 91*m**5/20 + 439*m**2. What is the third derivative of k(o) wrt o?
-7200*o**3 + 120*o**2
Let o(a) be the first derivative of a**4/12 + a**3/3 - 29*a**2/2 - 29*a - 26. Let q(c) be the first derivative of o(c). Find the first derivative of q(f) wrt f.
2*f + 2
Suppose o = -4*p + 119, 0 = 2*p - 3*o - 61 + 12. What is the second derivative of -p*i**4 + 24*i + 19*i + 229*i**2 + i**4 - 226*i**2 wrt i?
-336*i**2 + 6
Let l(d) be the first derivative of 10476*d**5/5 + 4358*d + 11965. What is the first derivative of l(q) wrt q?
41904*q**3
Let y(a) be the third derivative of 833*a**5/15 - 885*a**3/2 + 12*a**2 + 36*a. What is the derivative of y(w) wrt w?
6664*w
Suppose h - 13 = -m - 9, -2*h + 38 = -4*m. Let i(b) = b**2 - 1. Let c be i(2). What is the first derivative of 198*w**c - 213*w**3 - h - 3 wrt w?
-45*w**2
Let c(o) be the second derivative of 359*o**6/10 + 1531*o**2/2 - 27*o - 9. Differentiate c(d) with respect to d.
4308*d**3
Suppose 2*a = 5*y - 61, -y + 0*a + 15 = a. Suppose 4*b = 3*v + 28, 11*v = y*v. Find the third derivative of -7*i + b*i - 3*i**2 - 3*i**3 - 4*i**2 wrt i.
-18
Let l(o) be the first derivative of 97*o**4/2 + o**3/3 - o**2/2 - 6*o + 148. What is the second derivative of l(a) wrt a?
1164*a + 2
Let d(l) be the second derivative of 87*l**5/20 - 19*l**4/12 - 442*l**3 - 3583*l. What is the second derivative of d(v) wrt v?
522*v - 38
What is the third derivative of 10*q**2 + 116 - 40 - 39 - 37 - 36*q - 1523*q**3 wrt q?
-9138
What is the first derivative of 1410*g**2 - 1412*g**2 + 68*g + 69*g + 73 wrt g?
-4*g + 137
Let b(z) = -3093*z - 1746. Let k(t) = -2062*t - 1164. Let o(n) = 5*b(n) - 7*k(n). Differentiate o(m) with respect to m.
-1031
Let i(m) = m**2 - 5*m - 1. Let h(b) = -6*b**2 - 21*b + 85. Suppose 0 = -284*n + 291*n + 35. Let f(k) = n*i(k) + h(k). Differentiate f(j) wrt j.
-22*j + 4
Let w be (-11)/(-5) + 3/(-15). What is the third derivative of 330*o**w + 109*o**4 - 782*o**2 + 391*o**2 wrt o?
2616*o
Let g(u) be the first derivative of 0*u**4 + 2/3*u**3 + 94/5*u**5 - 23/2*u**2 - 15 + 0*u. Find the third derivative of g(d) wrt d.
2256*d
Let d(v) be the third derivative of 36*v + 0*v**4 + 0 + 1/120*v**6 - 69/20*v**5 + 0*v**3 - 3*v**2. What is the third derivative of d(p) wrt p?
6
Let n = 24 + -21. Suppose 5 = 2*r - n. Find the second derivative of -92*b**r + 36*b**5 + 41*b + 92*b**4 wrt b.
720*b**3
Let p(u) be the first derivative of 973*u**3 - 2*u**2 - 3*u + 5130. What is the second derivative of p(h) wrt h?
5838
Let v(k) be the first derivative of -6*k**2 - 77*k - 50 + 8*k**2 + 6*k**2 - 24*k**2. What is the derivative of v(l) wrt l?
-32
Differentiate 394 + 19*l + 204 - 21*l - 8 + 5*l - 16*l**3 with respect to l.
-48*l**2 + 3
Let n(a) be the first derivative of 0*a**3 - 71/4*a**4 + 56 + 18*a**2 + 0*a. Find the second derivative of n(g) wrt g.
-426*g
Suppose -32 + 108 = 19*d. Find the third derivative of 81*h**2 - 82*h**d + 3686 - 3686 wrt h.
-1968*h
Let y = -159 - -60. Let a = 42 - y. What is the second derivative of -141*i**3 - 12*i**4 - i + a*i**3 wrt i?
-144*i**2
Let k(x) = -x**3 - 9*x**2 - x - 5. Let c be 490/(-56) - (-1)/(-4). Let l be k(c). Find the third derivative of -15*r**2 + 5 - 2 - 3 - l*r**3 wrt r.
-24
What is the second derivative of 15341*v**3 - 15344*v**3 - 129*v + 209*v**4 + 571*v wrt v?
2508*v**2 - 18*v
Let h(b) be the first derivative of 1/5*b**5 + 0*b**2 + 0*b**4 - 147*b - 22*b**3 - 58. What is the first derivative of h(n) wrt n?
4*n**3 - 132*n
Let s(w) = -11775*w**2 - 2288*w. Let i(b) = 11776*b**2 + 2283*b. Let q(k) = 4*i(k) + 3*s(k). What is the second derivative of q(f) wrt f?
23558
Let a(y) be the first derivative of -9239*y**3/3 + 12927*y - 1482. What is the first derivative of a(w) wrt w?
-18478*w
What is the second derivative of 14011 + 27*l - 11844*l**2 - 28034 + 14097 wrt l?
-2368